Datasets:
ChanBeDu
/
rare_section_length_1024_tokenized

Dataset card Data Studio Files
xet
Community
subject_id
int64
12
99.6k
note_id
stringlengths
1
35
input_ids
listlengths
1.02k
1.02k
attention_mask
listlengths
1.02k
1.02k
labels
listlengths
1.02k
1.02k
99,231
46698
[ 5493, 305, 10421, 20, 11507, 5317, 12, 11607, 469, 437, 76, 11, 44, 1591, 31682, 12, 2900, 7488, 21571, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 1591, 440, 5165, 12, 8920, 37792, 581, 998, 76, 11, 44, 4229, 1208, 791, 12, 24169, 36261, 205, 30746, 5, 18363, 30, 98, 533, 7, 8, 205, 30746, 5, 10366, 2155, 7867, 30, 24982, 11, 44, 440, 10044, 12, 7997, 4616, 7093, 11, 44, 7287, 1057, 2263, 12, 2768, 1631, 6158, 8, 2925, 5, 2039, 5662, 5, 1349, 5313, 11, 27730, 305, 10421, 20, 4419, 28897, 3031, 1001, 20, 18900, 3282, 13580, 16711, 20, 135, 2074, 2074, 18820, 846, 116, 2143, 1446, 2074, 2074, 139, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 11507, 5317, 12, 11607, 469, 437, 76, 11, 44, 1591, 31682, 12, 2900, 7488, 21571, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 1591, 440, 5165, 12, 8920, 37792, 581, 998, 76, 11, 44, 4229, 1208, 791, 12, 24169, 36261, 205, 30746, 5, 18363, 30, 98, 533, 7, 8, 205, 30746, 5, 10366, 2155, 7867, 30, 24982, 11, 44, 440, 10044, 12, 7997, 4616, 7093, 11, 44, 7287, 1057, 2263, 12, 2768, 1631, 6158, 8, 2925, 5, 2039, 5662, 5, 1349, 5313, 11, 27730, 305, 10421, 20, 4419, 28897, 3031, 1001, 20, 18900, 3282, 13580, 16711, 20, 135, 2074, 2074, 18820, 846, 116, 2143, 1446, 2074, 2074, 139, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
99,231
46698
[ 5493, 305, 10421, 20, 11507, 5317, 12, 11607, 469, 437, 76, 11, 44, 1591, 31682, 12, 2900, 7488, 21571, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 1591, 440, 5165, 12, 8920, 37792, 581, 998, 76, 11, 44, 4229, 1208, 791, 12, 24169, 36261, 205, 30746, 5, 18363, 30, 98, 533, 7, 8, 205, 30746, 5, 10366, 2155, 7867, 30, 24982, 11, 44, 440, 10044, 12, 7997, 4616, 7093, 11, 44, 7287, 1057, 2263, 12, 2768, 1631, 6158, 8, 2925, 5, 2039, 5662, 5, 1349, 5313, 11, 27730, 305, 10421, 20, 4419, 14257, 1794, 30328, 20, 1608, 206, 421, 649, 15, 10634, 25, 3038, 7, 736, 29041, 10311, 7, 4371, 8014, 20901, 7, 4403, 471, 15, 2723, 8, 6351, 7, 289, 388, 7306, 787, 15, 269, 8715, 27, 126, 27, 11687, 527, 2062, 8064, 7, 1472, 27402, 988, 4, 11084, 343, 2435, 21568, 3768, 321, 12278, 20, 2974, 471, 15, 871, 3838, 1080, 7, 5075, 1365, 15057, 7, 5272, 8, 14, 3112, 5, 4974, 4, 37, 288, 7, 3109, 12021, 17, 4324, 61, 15, 32, 208, 24, 22816, 15698, 4, 5651, 57, 67, 14, 191, 5, 843, 1154, 10, 6, 1605, 5, 7336, 4, 18, 1452, 17, 2519, 197, 638, 234, 12, 176, 3038, 638, 2377, 25, 135, 2074, 2074, 198, 9, 1083, 2074, 2074, 139, 11, 7, 3043, 12, 10303, 401, 205, 5446, 12419, 11, 7, 4371, 8014, 20901, 12, 998, 2130, 135, 2074, 2074, 198, 9, 1205, 2074, 2074, 139, 383, 11, 7, 12198, 7, 12598, 261, 35307, 12, 736, 234, 135, 2074, 2074, 402, 9, 82, 2074, 2074, 139, 61, 205, 420, 367, 13, 224, 35, 11, 4, 565, 1785, 26, 1455, 590, 50, 511, 5, 29949, 8068, 7, 8, 2519, 3463, 15, 14034, 38720, 12, 17473, 3463, 11, 1533, 261, 1236, 31867, 12, 4811, 3463, 11, 27, 126, 27, 6885, 17820, 457, 7, 690, 22816, 15698, 4, 11225, 543, 7, 11325, 261, 35307, 704, 543, 7, 8, 4371, 998, 2130, 19, 72, 253, 8, 19, 383, 4, 158, 7, 50, 11288, 15, 6112, 5398, 22689, 17, 11355, 1162, 2159, 4, 1078, 3331, 7, 2190, 19, 29568, 13, 23597, 31867, 4, 2974, 374, 658, 13, 767, 85, 876, 912, 5, 261, 1236, 31867, 16, 29041, 10311, 10, 1605, 5, 382, 7178, 22, 21, 2458, 14494, 4, 5651, 374, 2500, 261, 1236, 31867, 154, 5210, 20943, 3038, 4, 18, 437, 3551, 57, 10801, 16, 3109, 13, 8165, 6, 1817, 34, 3038, 4, 18, 1337, 228, 374, 33, 25, 135, 2074, 2074, 657, 2582, 9, 36, 9, 991, 2074, 2074, 139, 4, 4, 11084, 157, 22481, 1223, 10689, 20, 2974, 121, 157, 4707, 19, 15935, 34, 6, 94, 5, 2126, 4, 5651, 648, 289, 9933, 157, 4707, 10, 14062, 9, 449, 116, 7, 174, 7, 272, 7, 806, 10204, 7, 8, 33099, 26, 8248, 10, 11116, 12, 4120, 4718, 343, 17785, 279, 5335, 13329, 29, 135, 2074, 2074, 18820, 846, 36, 414, 2074, 2074, 139, 11, 7, 15, 1919, 383, 535, 1140, 4, 4984, 5210, 289, 77, 17732, 9933, 157, 4707, 10, 11116, 22, 19, 2039, 8, 11869, 70, 3038, 25, 135, 2074, 2074, 36, 9, 580, 2074, 2074, 139, 22, 648, 11483, 15935, 4, 212, 17, 41, 1588, 22, 6, 157, 2062, 16193, 5543, 19, 134, 132, 4, 25167, 17, 135, 2074, 2074, 4227, 2591, 26, 13307, 12, 40, 11, 11711, 627, 2074, 2074, 139, 4, 18, 16009, 543, 311, 20, 1629, 7, 25293, 1365, 734, 399, 121, 7, 30, 14, 999, 721, 7, 523, 878, 1259, 5, 6, 157, 4707, 661, 6, 1258, 65, 188, 663, 4, 5651, 31010, 2268, 8297, 2815, 5210, 8778, 67, 6523, 4, 5651, 214, 41, 47, 420, 2147, 367, 4, 2974, 57, 102, 17815, 25, 947, 3083, 5515, 279, 13, 7229, 581, 3715, 16831, 163, 4, 39707, 6590, 636, 3788, 35858, 19882, 38, 13, 677, 26, 399, 1629, 27, 32, 3623, 7, 41, 3232, 27, 32, 5231, 690, 4351, 13, 37729, 10598, 640, 10, 35, 1605, 15, 736, 10311, 8, 17462, 316, 7178, 4, 37, 6, 187, 94, 7, 125, 21, 10354, 3671, 16, 700, 612, 76, 44, 5210, 21, 25, 5062, 8, 304, 228, 5, 243, 9, 6304, 4, 11393, 19285, 17, 1895, 70, 35, 2126, 4, 4, 11084, 287, 26939, 20612, 20, 37, 288, 13, 1779, 3852, 46, 21, 1638, 691, 7, 5210, 67, 406, 2832, 5, 3139, 5272, 4, 343, 26746, 291, 2749, 765, 8061, 4, 37, 1065, 5, 6, 11222, 5, 2749, 5272, 7, 5210, 67, 248, 5, 604, 3285, 7, 837, 50, 3038, 7, 46, 663, 1183, 13, 141, 2384, 136, 4138, 10, 6, 4613, 279, 8, 2749, 5272, 4, 32887, 5272, 19556, 590, 26, 3533, 50, 3674, 8966, 8068, 12, 657, 5224, 12561, 9, 22171, 12561, 3819, 11, 4, 5651, 72, 1672, 6523, 70, 265, 2832, 5, 5272, 7, 9710, 6, 2969, 373, 6, 5272, 21, 244, 13, 8297, 4, 158, 7, 50, 53, 15, 7258, 6861, 32, 8, 1259, 5, 6523, 7, 3109, 429, 134, 1254, 10, 6, 21426, 279, 7, 46, 19077, 333, 22, 1749, 4, 4, 11084, 3244, 2827, 10994, 20, 2974, 121, 775, 2384, 136, 314, 21, 6323, 279, 13, 22159, 279, 7, 2815, 17, 1686, 13, 8778, 33, 10, 6, 4613, 279, 7, 46, 3920, 13, 304, 8068, 12065, 2719, 12, 2040, 9, 20072, 12561, 11, 4, 212, 17, 2406, 13, 33, 809, 13, 604, 4887, 8, 2458, 33, 14717, 23, 5163, 3589, 4, 5651, 282, 4192, 25, 10878, 2222, 11257, 1266, 194, 3598, 245, 4, 4, 11084, 10634, 25, 3038, 279, 26, 110, 1928, 2081, 20, 2974, 17, 2947, 25, 3038, 8, 1993, 25, 3157, 22561, 37575, 4, 4, 11084, 15139, 7178, 20, 2974, 17, 1686, 13, 47, 14, 767, 2925, 5, 6, 491, 6248, 135, 2074, 2074, 4227, 2591, 26, 13307, 12, 40, 11, 2074, 2074, 139, 7, 491, 17494, 1851, 8, 491, 14488, 1851, 7, 8, 1297, 2925, 5, 491, 30646, 13838, 1047, 1851, 15, 2824, 13, 29504, 25, 3109, 799, 2126, 4, 5651, 17, 4988, 13, 2500, 14, 321, 7421, 25, 22, 752, 135, 2074, 2074, 198, 9, 249, 2074, 2074, 139, 35, 7178, 12, 8, 41, 25, 6, 702, 135, 2074, 2074, 198, 9, 249, 2074, 2074, 139 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5493, 305, 10421, 20, 11507, 5317, 12, 11607, 469, 437, 76, 11, 44, 1591, 31682, 12, 2900, 7488, 21571, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 1591, 440, 5165, 12, 8920, 37792, 581, 998, 76, 11, 44, 4229, 1208, 791, 12, 24169, 36261, 205, 30746, 5, 18363, 30, 98, 533, 7, 8, 205, 30746, 5, 10366, 2155, 7867, 30, 24982, 11, 44, 440, 10044, 12, 7997, 4616, 7093, 11, 44, 7287, 1057, 2263, 12, 2768, 1631, 6158, 8, 2925, 5, 2039, 5662, 5, 1349, 5313, 11, 27730, 305, 10421, 20, 4419, 14257, 1794, 30328, 20, 1608, 206, 421, 649, 15, 10634, 25, 3038, 7, 736, 29041, 10311, 7, 4371, 8014, 20901, 7, 4403, 471, 15, 2723, 8, 6351, 7, 289, 388, 7306, 787, 15, 269, 8715, 27, 126, 27, 11687, 527, 2062, 8064, 7, 1472, 27402, 988, 4, 11084, 343, 2435, 21568, 3768, 321, 12278, 20, 2974, 471, 15, 871, 3838, 1080, 7, 5075, 1365, 15057, 7, 5272, 8, 14, 3112, 5, 4974, 4, 37, 288, 7, 3109, 12021, 17, 4324, 61, 15, 32, 208, 24, 22816, 15698, 4, 5651, 57, 67, 14, 191, 5, 843, 1154, 10, 6, 1605, 5, 7336, 4, 18, 1452, 17, 2519, 197, 638, 234, 12, 176, 3038, 638, 2377, 25, 135, 2074, 2074, 198, 9, 1083, 2074, 2074, 139, 11, 7, 3043, 12, 10303, 401, 205, 5446, 12419, 11, 7, 4371, 8014, 20901, 12, 998, 2130, 135, 2074, 2074, 198, 9, 1205, 2074, 2074, 139, 383, 11, 7, 12198, 7, 12598, 261, 35307, 12, 736, 234, 135, 2074, 2074, 402, 9, 82, 2074, 2074, 139, 61, 205, 420, 367, 13, 224, 35, 11, 4, 565, 1785, 26, 1455, 590, 50, 511, 5, 29949, 8068, 7, 8, 2519, 3463, 15, 14034, 38720, 12, 17473, 3463, 11, 1533, 261, 1236, 31867, 12, 4811, 3463, 11, 27, 126, 27, 6885, 17820, 457, 7, 690, 22816, 15698, 4, 11225, 543, 7, 11325, 261, 35307, 704, 543, 7, 8, 4371, 998, 2130, 19, 72, 253, 8, 19, 383, 4, 158, 7, 50, 11288, 15, 6112, 5398, 22689, 17, 11355, 1162, 2159, 4, 1078, 3331, 7, 2190, 19, 29568, 13, 23597, 31867, 4, 2974, 374, 658, 13, 767, 85, 876, 912, 5, 261, 1236, 31867, 16, 29041, 10311, 10, 1605, 5, 382, 7178, 22, 21, 2458, 14494, 4, 5651, 374, 2500, 261, 1236, 31867, 154, 5210, 20943, 3038, 4, 18, 437, 3551, 57, 10801, 16, 3109, 13, 8165, 6, 1817, 34, 3038, 4, 18, 1337, 228, 374, 33, 25, 135, 2074, 2074, 657, 2582, 9, 36, 9, 991, 2074, 2074, 139, 4, 4, 11084, 157, 22481, 1223, 10689, 20, 2974, 121, 157, 4707, 19, 15935, 34, 6, 94, 5, 2126, 4, 5651, 648, 289, 9933, 157, 4707, 10, 14062, 9, 449, 116, 7, 174, 7, 272, 7, 806, 10204, 7, 8, 33099, 26, 8248, 10, 11116, 12, 4120, 4718, 343, 17785, 279, 5335, 13329, 29, 135, 2074, 2074, 18820, 846, 36, 414, 2074, 2074, 139, 11, 7, 15, 1919, 383, 535, 1140, 4, 4984, 5210, 289, 77, 17732, 9933, 157, 4707, 10, 11116, 22, 19, 2039, 8, 11869, 70, 3038, 25, 135, 2074, 2074, 36, 9, 580, 2074, 2074, 139, 22, 648, 11483, 15935, 4, 212, 17, 41, 1588, 22, 6, 157, 2062, 16193, 5543, 19, 134, 132, 4, 25167, 17, 135, 2074, 2074, 4227, 2591, 26, 13307, 12, 40, 11, 11711, 627, 2074, 2074, 139, 4, 18, 16009, 543, 311, 20, 1629, 7, 25293, 1365, 734, 399, 121, 7, 30, 14, 999, 721, 7, 523, 878, 1259, 5, 6, 157, 4707, 661, 6, 1258, 65, 188, 663, 4, 5651, 31010, 2268, 8297, 2815, 5210, 8778, 67, 6523, 4, 5651, 214, 41, 47, 420, 2147, 367, 4, 2974, 57, 102, 17815, 25, 947, 3083, 5515, 279, 13, 7229, 581, 3715, 16831, 163, 4, 39707, 6590, 636, 3788, 35858, 19882, 38, 13, 677, 26, 399, 1629, 27, 32, 3623, 7, 41, 3232, 27, 32, 5231, 690, 4351, 13, 37729, 10598, 640, 10, 35, 1605, 15, 736, 10311, 8, 17462, 316, 7178, 4, 37, 6, 187, 94, 7, 125, 21, 10354, 3671, 16, 700, 612, 76, 44, 5210, 21, 25, 5062, 8, 304, 228, 5, 243, 9, 6304, 4, 11393, 19285, 17, 1895, 70, 35, 2126, 4, 4, 11084, 287, 26939, 20612, 20, 37, 288, 13, 1779, 3852, 46, 21, 1638, 691, 7, 5210, 67, 406, 2832, 5, 3139, 5272, 4, 343, 26746, 291, 2749, 765, 8061, 4, 37, 1065, 5, 6, 11222, 5, 2749, 5272, 7, 5210, 67, 248, 5, 604, 3285, 7, 837, 50, 3038, 7, 46, 663, 1183, 13, 141, 2384, 136, 4138, 10, 6, 4613, 279, 8, 2749, 5272, 4, 32887, 5272, 19556, 590, 26, 3533, 50, 3674, 8966, 8068, 12, 657, 5224, 12561, 9, 22171, 12561, 3819, 11, 4, 5651, 72, 1672, 6523, 70, 265, 2832, 5, 5272, 7, 9710, 6, 2969, 373, 6, 5272, 21, 244, 13, 8297, 4, 158, 7, 50, 53, 15, 7258, 6861, 32, 8, 1259, 5, 6523, 7, 3109, 429, 134, 1254, 10, 6, 21426, 279, 7, 46, 19077, 333, 22, 1749, 4, 4, 11084, 3244, 2827, 10994, 20, 2974, 121, 775, 2384, 136, 314, 21, 6323, 279, 13, 22159, 279, 7, 2815, 17, 1686, 13, 8778, 33, 10, 6, 4613, 279, 7, 46, 3920, 13, 304, 8068, 12065, 2719, 12, 2040, 9, 20072, 12561, 11, 4, 212, 17, 2406, 13, 33, 809, 13, 604, 4887, 8, 2458, 33, 14717, 23, 5163, 3589, 4, 5651, 282, 4192, 25, 10878, 2222, 11257, 1266, 194, 3598, 245, 4, 4, 11084, 10634, 25, 3038, 279, 26, 110, 1928, 2081, 20, 2974, 17, 2947, 25, 3038, 8, 1993, 25, 3157, 22561, 37575, 4, 4, 11084, 15139, 7178, 20, 2974, 17, 1686, 13, 47, 14, 767, 2925, 5, 6, 491, 6248, 135, 2074, 2074, 4227, 2591, 26, 13307, 12, 40, 11, 2074, 2074, 139, 7, 491, 17494, 1851, 8, 491, 14488, 1851, 7, 8, 1297, 2925, 5, 491, 30646, 13838, 1047, 1851, 15, 2824, 13, 29504, 25, 3109, 799, 2126, 4, 5651, 17, 4988, 13, 2500, 14, 321, 7421, 25, 22, 752, 135, 2074, 2074, 198, 9, 249, 2074, 2074, 139, 35, 7178, 12, 8, 41, 25, 6, 702, 135, 2074, 2074, 198, 9, 249, 2074, 2074, 139 ]
99,231
46698
[ 3038, 25, 135, 2074, 2074, 36, 9, 580, 2074, 2074, 139, 22, 648, 11483, 15935, 4, 212, 17, 41, 1588, 22, 6, 157, 2062, 16193, 5543, 19, 134, 132, 4, 25167, 17, 135, 2074, 2074, 4227, 2591, 26, 13307, 12, 40, 11, 11711, 627, 2074, 2074, 139, 4, 18, 16009, 543, 311, 20, 1629, 7, 25293, 1365, 734, 399, 121, 7, 30, 14, 999, 721, 7, 523, 878, 1259, 5, 6, 157, 4707, 661, 6, 1258, 65, 188, 663, 4, 5651, 31010, 2268, 8297, 2815, 5210, 8778, 67, 6523, 4, 5651, 214, 41, 47, 420, 2147, 367, 4, 2974, 57, 102, 17815, 25, 947, 3083, 5515, 279, 13, 7229, 581, 3715, 16831, 163, 4, 39707, 6590, 636, 3788, 35858, 19882, 38, 13, 677, 26, 399, 1629, 27, 32, 3623, 7, 41, 3232, 27, 32, 5231, 690, 4351, 13, 37729, 10598, 640, 10, 35, 1605, 15, 736, 10311, 8, 17462, 316, 7178, 4, 37, 6, 187, 94, 7, 125, 21, 10354, 3671, 16, 700, 612, 76, 44, 5210, 21, 25, 5062, 8, 304, 228, 5, 243, 9, 6304, 4, 11393, 19285, 17, 1895, 70, 35, 2126, 4, 4, 11084, 287, 26939, 20612, 20, 37, 288, 13, 1779, 3852, 46, 21, 1638, 691, 7, 5210, 67, 406, 2832, 5, 3139, 5272, 4, 343, 26746, 291, 2749, 765, 8061, 4, 37, 1065, 5, 6, 11222, 5, 2749, 5272, 7, 5210, 67, 248, 5, 604, 3285, 7, 837, 50, 3038, 7, 46, 663, 1183, 13, 141, 2384, 136, 4138, 10, 6, 4613, 279, 8, 2749, 5272, 4, 32887, 5272, 19556, 590, 26, 3533, 50, 3674, 8966, 8068, 12, 657, 5224, 12561, 9, 22171, 12561, 3819, 11, 4, 5651, 72, 1672, 6523, 70, 265, 2832, 5, 5272, 7, 9710, 6, 2969, 373, 6, 5272, 21, 244, 13, 8297, 4, 158, 7, 50, 53, 15, 7258, 6861, 32, 8, 1259, 5, 6523, 7, 3109, 429, 134, 1254, 10, 6, 21426, 279, 7, 46, 19077, 333, 22, 1749, 4, 4, 11084, 3244, 2827, 10994, 20, 2974, 121, 775, 2384, 136, 314, 21, 6323, 279, 13, 22159, 279, 7, 2815, 17, 1686, 13, 8778, 33, 10, 6, 4613, 279, 7, 46, 3920, 13, 304, 8068, 12065, 2719, 12, 2040, 9, 20072, 12561, 11, 4, 212, 17, 2406, 13, 33, 809, 13, 604, 4887, 8, 2458, 33, 14717, 23, 5163, 3589, 4, 5651, 282, 4192, 25, 10878, 2222, 11257, 1266, 194, 3598, 245, 4, 4, 11084, 10634, 25, 3038, 279, 26, 110, 1928, 2081, 20, 2974, 17, 2947, 25, 3038, 8, 1993, 25, 3157, 22561, 37575, 4, 4, 11084, 15139, 7178, 20, 2974, 17, 1686, 13, 47, 14, 767, 2925, 5, 6, 491, 6248, 135, 2074, 2074, 4227, 2591, 26, 13307, 12, 40, 11, 2074, 2074, 139, 7, 491, 17494, 1851, 8, 491, 14488, 1851, 7, 8, 1297, 2925, 5, 491, 30646, 13838, 1047, 1851, 15, 2824, 13, 29504, 25, 3109, 799, 2126, 4, 5651, 17, 4988, 13, 2500, 14, 321, 7421, 25, 22, 752, 135, 2074, 2074, 198, 9, 249, 2074, 2074, 139, 35, 7178, 12, 8, 41, 25, 6, 702, 135, 2074, 2074, 198, 9, 249, 2074, 2074, 139, 232, 5, 4337, 11, 4, 5651, 17, 1993, 25, 8257, 15, 2336, 135, 2074, 2074, 198, 9, 1083, 2074, 2074, 139, 8, 282, 4192, 8059, 1786, 1259, 5, 6, 7178, 30, 501, 17309, 4, 4, 11084, 4371, 18633, 20, 2974, 57, 58, 183, 15, 5398, 22689, 4, 56, 17, 7019, 9144, 387, 5, 3506, 16, 31396, 61, 2649, 11355, 1162, 2159, 336, 6112, 4, 23691, 21, 16, 3109, 13, 1706, 26, 1828, 15, 3623, 6112, 15, 19594, 135, 2074, 2074, 3247, 299, 11142, 12, 2047, 1432, 4043, 11, 2074, 2074, 139, 25, 135, 2074, 2074, 657, 2582, 9, 36, 9, 627, 2074, 2074, 139, 1040, 658, 13, 4192, 35, 53, 4, 4, 11084, 12311, 3852, 15, 269, 8715, 20, 943, 135, 2074, 2074, 36, 9, 465, 2074, 2074, 139, 125, 17, 4721, 13, 286, 3747, 16, 3033, 12331, 15, 269, 8715, 8, 6351, 4, 5651, 17, 183, 15, 11954, 2130, 8, 2873, 190, 6885, 18882, 4, 5651, 374, 4192, 25, 11954, 2894, 16328, 194, 54, 26, 876, 8, 18882, 6652, 135, 2074, 2074, 18820, 846, 36, 2074, 2074, 139, 27, 32, 3623, 7, 15, 10256, 493, 16, 7496, 109, 203, 30, 1455, 109, 1368, 4, 4, 11084, 4601, 36565, 20, 2974, 67, 1919, 21370, 5, 6523, 2231, 23, 5272, 10, 6, 2382, 9, 5017, 8, 6351, 22, 3533, 15, 25195, 4, 56, 1147, 13, 1099, 50, 3038, 8, 63, 33, 132, 13, 604, 3285, 4, 5651, 72, 652, 21846, 6523, 50, 3762, 4, 2974, 10254, 31010, 4009, 152, 30, 2268, 8297, 4, 11559, 535, 1140, 19, 383, 4, 4, 11084, 27236, 25228, 20, 2974, 282, 4192, 25, 16225, 676, 35817, 15, 2336, 16815, 135, 2074, 2074, 198, 9, 1083, 2074, 2074, 139, 4, 4, 11084, 28850, 517, 20, 13119, 28850, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3038, 25, 135, 2074, 2074, 36, 9, 580, 2074, 2074, 139, 22, 648, 11483, 15935, 4, 212, 17, 41, 1588, 22, 6, 157, 2062, 16193, 5543, 19, 134, 132, 4, 25167, 17, 135, 2074, 2074, 4227, 2591, 26, 13307, 12, 40, 11, 11711, 627, 2074, 2074, 139, 4, 18, 16009, 543, 311, 20, 1629, 7, 25293, 1365, 734, 399, 121, 7, 30, 14, 999, 721, 7, 523, 878, 1259, 5, 6, 157, 4707, 661, 6, 1258, 65, 188, 663, 4, 5651, 31010, 2268, 8297, 2815, 5210, 8778, 67, 6523, 4, 5651, 214, 41, 47, 420, 2147, 367, 4, 2974, 57, 102, 17815, 25, 947, 3083, 5515, 279, 13, 7229, 581, 3715, 16831, 163, 4, 39707, 6590, 636, 3788, 35858, 19882, 38, 13, 677, 26, 399, 1629, 27, 32, 3623, 7, 41, 3232, 27, 32, 5231, 690, 4351, 13, 37729, 10598, 640, 10, 35, 1605, 15, 736, 10311, 8, 17462, 316, 7178, 4, 37, 6, 187, 94, 7, 125, 21, 10354, 3671, 16, 700, 612, 76, 44, 5210, 21, 25, 5062, 8, 304, 228, 5, 243, 9, 6304, 4, 11393, 19285, 17, 1895, 70, 35, 2126, 4, 4, 11084, 287, 26939, 20612, 20, 37, 288, 13, 1779, 3852, 46, 21, 1638, 691, 7, 5210, 67, 406, 2832, 5, 3139, 5272, 4, 343, 26746, 291, 2749, 765, 8061, 4, 37, 1065, 5, 6, 11222, 5, 2749, 5272, 7, 5210, 67, 248, 5, 604, 3285, 7, 837, 50, 3038, 7, 46, 663, 1183, 13, 141, 2384, 136, 4138, 10, 6, 4613, 279, 8, 2749, 5272, 4, 32887, 5272, 19556, 590, 26, 3533, 50, 3674, 8966, 8068, 12, 657, 5224, 12561, 9, 22171, 12561, 3819, 11, 4, 5651, 72, 1672, 6523, 70, 265, 2832, 5, 5272, 7, 9710, 6, 2969, 373, 6, 5272, 21, 244, 13, 8297, 4, 158, 7, 50, 53, 15, 7258, 6861, 32, 8, 1259, 5, 6523, 7, 3109, 429, 134, 1254, 10, 6, 21426, 279, 7, 46, 19077, 333, 22, 1749, 4, 4, 11084, 3244, 2827, 10994, 20, 2974, 121, 775, 2384, 136, 314, 21, 6323, 279, 13, 22159, 279, 7, 2815, 17, 1686, 13, 8778, 33, 10, 6, 4613, 279, 7, 46, 3920, 13, 304, 8068, 12065, 2719, 12, 2040, 9, 20072, 12561, 11, 4, 212, 17, 2406, 13, 33, 809, 13, 604, 4887, 8, 2458, 33, 14717, 23, 5163, 3589, 4, 5651, 282, 4192, 25, 10878, 2222, 11257, 1266, 194, 3598, 245, 4, 4, 11084, 10634, 25, 3038, 279, 26, 110, 1928, 2081, 20, 2974, 17, 2947, 25, 3038, 8, 1993, 25, 3157, 22561, 37575, 4, 4, 11084, 15139, 7178, 20, 2974, 17, 1686, 13, 47, 14, 767, 2925, 5, 6, 491, 6248, 135, 2074, 2074, 4227, 2591, 26, 13307, 12, 40, 11, 2074, 2074, 139, 7, 491, 17494, 1851, 8, 491, 14488, 1851, 7, 8, 1297, 2925, 5, 491, 30646, 13838, 1047, 1851, 15, 2824, 13, 29504, 25, 3109, 799, 2126, 4, 5651, 17, 4988, 13, 2500, 14, 321, 7421, 25, 22, 752, 135, 2074, 2074, 198, 9, 249, 2074, 2074, 139, 35, 7178, 12, 8, 41, 25, 6, 702, 135, 2074, 2074, 198, 9, 249, 2074, 2074, 139, 232, 5, 4337, 11, 4, 5651, 17, 1993, 25, 8257, 15, 2336, 135, 2074, 2074, 198, 9, 1083, 2074, 2074, 139, 8, 282, 4192, 8059, 1786, 1259, 5, 6, 7178, 30, 501, 17309, 4, 4, 11084, 4371, 18633, 20, 2974, 57, 58, 183, 15, 5398, 22689, 4, 56, 17, 7019, 9144, 387, 5, 3506, 16, 31396, 61, 2649, 11355, 1162, 2159, 336, 6112, 4, 23691, 21, 16, 3109, 13, 1706, 26, 1828, 15, 3623, 6112, 15, 19594, 135, 2074, 2074, 3247, 299, 11142, 12, 2047, 1432, 4043, 11, 2074, 2074, 139, 25, 135, 2074, 2074, 657, 2582, 9, 36, 9, 627, 2074, 2074, 139, 1040, 658, 13, 4192, 35, 53, 4, 4, 11084, 12311, 3852, 15, 269, 8715, 20, 943, 135, 2074, 2074, 36, 9, 465, 2074, 2074, 139, 125, 17, 4721, 13, 286, 3747, 16, 3033, 12331, 15, 269, 8715, 8, 6351, 4, 5651, 17, 183, 15, 11954, 2130, 8, 2873, 190, 6885, 18882, 4, 5651, 374, 4192, 25, 11954, 2894, 16328, 194, 54, 26, 876, 8, 18882, 6652, 135, 2074, 2074, 18820, 846, 36, 2074, 2074, 139, 27, 32, 3623, 7, 15, 10256, 493, 16, 7496, 109, 203, 30, 1455, 109, 1368, 4, 4, 11084, 4601, 36565, 20, 2974, 67, 1919, 21370, 5, 6523, 2231, 23, 5272, 10, 6, 2382, 9, 5017, 8, 6351, 22, 3533, 15, 25195, 4, 56, 1147, 13, 1099, 50, 3038, 8, 63, 33, 132, 13, 604, 3285, 4, 5651, 72, 652, 21846, 6523, 50, 3762, 4, 2974, 10254, 31010, 4009, 152, 30, 2268, 8297, 4, 11559, 535, 1140, 19, 383, 4, 4, 11084, 27236, 25228, 20, 2974, 282, 4192, 25, 16225, 676, 35817, 15, 2336, 16815, 135, 2074, 2074, 198, 9, 1083, 2074, 2074, 139, 4, 4, 11084, 28850, 517, 20, 13119, 28850, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
99,231
46698
[ 5493, 305, 10421, 20, 11507, 5317, 12, 11607, 469, 437, 76, 11, 44, 1591, 31682, 12, 2900, 7488, 21571, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 1591, 440, 5165, 12, 8920, 37792, 581, 998, 76, 11, 44, 4229, 1208, 791, 12, 24169, 36261, 205, 30746, 5, 18363, 30, 98, 533, 7, 8, 205, 30746, 5, 10366, 2155, 7867, 30, 24982, 11, 44, 440, 10044, 12, 7997, 4616, 7093, 11, 44, 7287, 1057, 2263, 12, 2768, 1631, 6158, 8, 2925, 5, 2039, 5662, 5, 1349, 5313, 11, 27730, 305, 10421, 20, 4419, 7728, 3673, 30, 15031, 27730, 20, 33732, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 11507, 5317, 12, 11607, 469, 437, 76, 11, 44, 1591, 31682, 12, 2900, 7488, 21571, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 1591, 440, 5165, 12, 8920, 37792, 581, 998, 76, 11, 44, 4229, 1208, 791, 12, 24169, 36261, 205, 30746, 5, 18363, 30, 98, 533, 7, 8, 205, 30746, 5, 10366, 2155, 7867, 30, 24982, 11, 44, 440, 10044, 12, 7997, 4616, 7093, 11, 44, 7287, 1057, 2263, 12, 2768, 1631, 6158, 8, 2925, 5, 2039, 5662, 5, 1349, 5313, 11, 27730, 305, 10421, 20, 4419, 7728, 3673, 30, 15031, 27730, 20, 33732, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
99,231
46698
[ 5493, 305, 10421, 20, 11507, 5317, 12, 11607, 469, 437, 76, 11, 44, 1591, 31682, 12, 2900, 7488, 21571, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 1591, 440, 5165, 12, 8920, 37792, 581, 998, 76, 11, 44, 4229, 1208, 791, 12, 24169, 36261, 205, 30746, 5, 18363, 30, 98, 533, 7, 8, 205, 30746, 5, 10366, 2155, 7867, 30, 24982, 11, 44, 440, 10044, 12, 7997, 4616, 7093, 11, 44, 7287, 1057, 2263, 12, 2768, 1631, 6158, 8, 2925, 5, 2039, 5662, 5, 1349, 5313, 11, 27730, 305, 10421, 20, 4419, 28897, 20350, 4036, 20, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 11507, 5317, 12, 11607, 469, 437, 76, 11, 44, 1591, 31682, 12, 2900, 7488, 21571, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 1591, 440, 5165, 12, 8920, 37792, 581, 998, 76, 11, 44, 4229, 1208, 791, 12, 24169, 36261, 205, 30746, 5, 18363, 30, 98, 533, 7, 8, 205, 30746, 5, 10366, 2155, 7867, 30, 24982, 11, 44, 440, 10044, 12, 7997, 4616, 7093, 11, 44, 7287, 1057, 2263, 12, 2768, 1631, 6158, 8, 2925, 5, 2039, 5662, 5, 1349, 5313, 11, 27730, 305, 10421, 20, 4419, 28897, 20350, 4036, 20, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
99,231
46698
[ 5493, 305, 10421, 20, 11507, 5317, 12, 11607, 469, 437, 76, 11, 44, 1591, 31682, 12, 2900, 7488, 21571, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 1591, 440, 5165, 12, 8920, 37792, 581, 998, 76, 11, 44, 4229, 1208, 791, 12, 24169, 36261, 205, 30746, 5, 18363, 30, 98, 533, 7, 8, 205, 30746, 5, 10366, 2155, 7867, 30, 24982, 11, 44, 440, 10044, 12, 7997, 4616, 7093, 11, 44, 7287, 1057, 2263, 12, 2768, 1631, 6158, 8, 2925, 5, 2039, 5662, 5, 1349, 5313, 11, 27730, 305, 10421, 20, 4419, 3246, 38086, 605, 20, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 2571, 3643, 250, 36426, 237, 28083, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 135, 2074, 2074, 657, 2582, 9, 36, 9, 91, 2074, 2074, 139, 8976, 20, 5216, 3417, 12021, 9, 4324, 7074, 9, 1208, 2232, 2074, 15850, 787, 9, 6223, 2074, 313, 23487, 9, 31230, 2074, 27484, 9, 2217, 25159, 9, 29957, 286, 21765, 9, 678, 1998, 29215, 9, 20892, 2074, 4752, 527, 305, 527, 9, 2326, 2074, 11766, 1456, 9, 1608, 230, 13754, 9, 208, 2074, 10584, 279, 9, 249, 4227, 2842, 9, 208, 343, 2842, 9, 583, 16727, 399, 9, 583, 388, 11877, 279, 9, 40, 2074, 5234, 27, 9, 583, 16028, 2842, 9, 583, 7054, 1407, 677, 9, 54, 51, 1955, 16010, 873, 9, 36, 51, 8306, 9375, 19990, 9, 403, 37172, 2807, 5222, 3907, 14181, 25770, 9, 299, 4024, 286, 3907, 2736, 25770, 9, 36, 51, 4128, 1407, 677, 9, 299, 4024, 286, 3907, 403, 5398, 1212, 873, 9, 403, 37172, 2807, 5222, 3907, 4752, 527, 13766, 677, 9, 5783, 1470, 4752, 527, 305, 527, 9, 2326, 2074, 9517, 9, 8093, 2074, 16432, 806, 190, 9, 91, 9261, 34, 9, 3575, 2074, 11084, 1491, 9, 9409, 473, 9, 5037, 2989, 9, 2608, 21967, 9, 334, 1955, 31453, 9, 219, 5753, 12, 30339, 11, 27258, 2074, 9039, 9, 6091, 2074, 17497, 279, 9, 3258, 2074, 11084, 4901, 9, 2865, 2074, 9517, 9, 12390, 2074, 27982, 9, 4974, 2074, 1491, 9, 9409, 473, 9, 4499, 2989, 9, 2001, 2074, 3919, 21967, 9, 1031, 715, 2873, 13676, 2138, 1876, 5726, 31123, 2568, 7308, 2550, 17406, 20, 8123, 9, 6907, 2440, 9, 5478, 698, 1631, 2449, 5025, 14037, 1192, 192, 6, 3997, 29504, 4, 18, 535, 6508, 696, 3930, 17162, 21, 175, 10, 436, 4, 18, 8414, 8, 17737, 20643, 31, 192, 175, 3073, 4, 18, 3800, 31, 1588, 205, 2891, 10360, 4, 5921, 19704, 21, 175, 4, 668, 4382, 6974, 30, 12837, 21, 143, 4, 18, 9638, 788, 31, 30101, 4, 4263, 11415, 250, 36426, 20, 668, 293, 5627, 5240, 4, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 343, 17785, 279, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 91, 2074, 2074, 139, 215, 20, 400, 20, 1531, 3417, 32887, 5272, 15, 775, 15237, 4, 3393, 9, 140, 21811, 1982, 9, 157, 2062, 163, 4, 2200, 13, 6, 799, 12153, 5, 135, 2074, 2074, 657, 11683, 9, 198, 9, 1031, 2074, 2074, 139, 860, 3932, 9920, 31, 41, 724, 25, 6, 404, 12153, 4, 34073, 7, 102, 675, 21088, 410, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 7940, 9616, 2323, 28421, 26, 26562, 1870, 54, 9300, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 402, 2074, 2074, 139, 36, 20, 402, 20, 297, 3332, 32887, 4523, 4, 5603, 68, 9, 401, 928, 4, 1982, 9, 157, 2062, 1409, 4, 1707, 6, 799, 12153, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 91, 2074, 2074, 139, 1982, 9, 157, 2062, 1409, 31, 188, 3912, 34, 14, 5971, 134, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 2217, 11276, 2217, 32852, 26, 26396, 1206, 185, 479, 887, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 198, 2074, 2074, 139, 54, 20, 479, 20, 1342, 3417, 32887, 4523, 4, 1707, 6, 799, 12153, 775, 15237, 21, 107, 4, 271, 21, 1715, 102, 99, 410, 10, 540, 1686, 229, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 1738, 5017, 791, 32408, 26, 430, 1841, 1870, 19793, 1926, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 465, 2074, 2074, 139, 82, 20, 414, 20, 9114, 3332, 18677, 606, 1779, 3852, 15, 878, 860, 133, 4, 1707, 6, 799, 12153, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 198, 2074, 2074, 139, 1779, 3852, 21, 176, 4, 271, 21, 14, 236, 1073, 324, 10196, 7, 1715, 860, 7, 46, 21, 72, 176, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 7291, 583, 2232, 26246, 26, 430, 1949, 583, 8005, 185, 10070, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 465, 2074, 2074, 139, 208, 20, 656, 20, 334, 3332, 32887, 4523, 4, 1707, 6, 799, 12153, 2180, 25, 135, 2074, 2074, 657, 2582, 9, 36, 9, 465, 2074, 2074, 139, 7, 1779, 3852, 21, 102, 1348, 143, 4, 271, 21, 1663, 1421, 9, 157, 928, 10056, 8, 223, 31, 22241, 19170, 157, 2062, 16193, 5543, 4, 1119, 557, 21, 756, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 2244, 5552, 2217, 29866, 26, 430, 1413, 1837, 5082, 185, 8430, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 274, 2074, 2074, 139, 348, 20, 1172, 20, 466, 3332, 32887, 5272, 4, 21163, 1982, 9, 157, 2062, 163, 4, 11054, 41, 5492, 387, 989, 1629, 4, 2200, 13, 6, 799, 12153, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 465, 2074, 2074, 139, 16440, 928, 10056, 57, 590, 4, 34073, 7 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5493, 305, 10421, 20, 11507, 5317, 12, 11607, 469, 437, 76, 11, 44, 1591, 31682, 12, 2900, 7488, 21571, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 1591, 440, 5165, 12, 8920, 37792, 581, 998, 76, 11, 44, 4229, 1208, 791, 12, 24169, 36261, 205, 30746, 5, 18363, 30, 98, 533, 7, 8, 205, 30746, 5, 10366, 2155, 7867, 30, 24982, 11, 44, 440, 10044, 12, 7997, 4616, 7093, 11, 44, 7287, 1057, 2263, 12, 2768, 1631, 6158, 8, 2925, 5, 2039, 5662, 5, 1349, 5313, 11, 27730, 305, 10421, 20, 4419, 3246, 38086, 605, 20, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 2571, 3643, 250, 36426, 237, 28083, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 135, 2074, 2074, 657, 2582, 9, 36, 9, 91, 2074, 2074, 139, 8976, 20, 5216, 3417, 12021, 9, 4324, 7074, 9, 1208, 2232, 2074, 15850, 787, 9, 6223, 2074, 313, 23487, 9, 31230, 2074, 27484, 9, 2217, 25159, 9, 29957, 286, 21765, 9, 678, 1998, 29215, 9, 20892, 2074, 4752, 527, 305, 527, 9, 2326, 2074, 11766, 1456, 9, 1608, 230, 13754, 9, 208, 2074, 10584, 279, 9, 249, 4227, 2842, 9, 208, 343, 2842, 9, 583, 16727, 399, 9, 583, 388, 11877, 279, 9, 40, 2074, 5234, 27, 9, 583, 16028, 2842, 9, 583, 7054, 1407, 677, 9, 54, 51, 1955, 16010, 873, 9, 36, 51, 8306, 9375, 19990, 9, 403, 37172, 2807, 5222, 3907, 14181, 25770, 9, 299, 4024, 286, 3907, 2736, 25770, 9, 36, 51, 4128, 1407, 677, 9, 299, 4024, 286, 3907, 403, 5398, 1212, 873, 9, 403, 37172, 2807, 5222, 3907, 4752, 527, 13766, 677, 9, 5783, 1470, 4752, 527, 305, 527, 9, 2326, 2074, 9517, 9, 8093, 2074, 16432, 806, 190, 9, 91, 9261, 34, 9, 3575, 2074, 11084, 1491, 9, 9409, 473, 9, 5037, 2989, 9, 2608, 21967, 9, 334, 1955, 31453, 9, 219, 5753, 12, 30339, 11, 27258, 2074, 9039, 9, 6091, 2074, 17497, 279, 9, 3258, 2074, 11084, 4901, 9, 2865, 2074, 9517, 9, 12390, 2074, 27982, 9, 4974, 2074, 1491, 9, 9409, 473, 9, 4499, 2989, 9, 2001, 2074, 3919, 21967, 9, 1031, 715, 2873, 13676, 2138, 1876, 5726, 31123, 2568, 7308, 2550, 17406, 20, 8123, 9, 6907, 2440, 9, 5478, 698, 1631, 2449, 5025, 14037, 1192, 192, 6, 3997, 29504, 4, 18, 535, 6508, 696, 3930, 17162, 21, 175, 10, 436, 4, 18, 8414, 8, 17737, 20643, 31, 192, 175, 3073, 4, 18, 3800, 31, 1588, 205, 2891, 10360, 4, 5921, 19704, 21, 175, 4, 668, 4382, 6974, 30, 12837, 21, 143, 4, 18, 9638, 788, 31, 30101, 4, 4263, 11415, 250, 36426, 20, 668, 293, 5627, 5240, 4, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 343, 17785, 279, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 91, 2074, 2074, 139, 215, 20, 400, 20, 1531, 3417, 32887, 5272, 15, 775, 15237, 4, 3393, 9, 140, 21811, 1982, 9, 157, 2062, 163, 4, 2200, 13, 6, 799, 12153, 5, 135, 2074, 2074, 657, 11683, 9, 198, 9, 1031, 2074, 2074, 139, 860, 3932, 9920, 31, 41, 724, 25, 6, 404, 12153, 4, 34073, 7, 102, 675, 21088, 410, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 7940, 9616, 2323, 28421, 26, 26562, 1870, 54, 9300, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 402, 2074, 2074, 139, 36, 20, 402, 20, 297, 3332, 32887, 4523, 4, 5603, 68, 9, 401, 928, 4, 1982, 9, 157, 2062, 1409, 4, 1707, 6, 799, 12153, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 91, 2074, 2074, 139, 1982, 9, 157, 2062, 1409, 31, 188, 3912, 34, 14, 5971, 134, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 2217, 11276, 2217, 32852, 26, 26396, 1206, 185, 479, 887, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 198, 2074, 2074, 139, 54, 20, 479, 20, 1342, 3417, 32887, 4523, 4, 1707, 6, 799, 12153, 775, 15237, 21, 107, 4, 271, 21, 1715, 102, 99, 410, 10, 540, 1686, 229, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 1738, 5017, 791, 32408, 26, 430, 1841, 1870, 19793, 1926, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 465, 2074, 2074, 139, 82, 20, 414, 20, 9114, 3332, 18677, 606, 1779, 3852, 15, 878, 860, 133, 4, 1707, 6, 799, 12153, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 198, 2074, 2074, 139, 1779, 3852, 21, 176, 4, 271, 21, 14, 236, 1073, 324, 10196, 7, 1715, 860, 7, 46, 21, 72, 176, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 7291, 583, 2232, 26246, 26, 430, 1949, 583, 8005, 185, 10070, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 465, 2074, 2074, 139, 208, 20, 656, 20, 334, 3332, 32887, 4523, 4, 1707, 6, 799, 12153, 2180, 25, 135, 2074, 2074, 657, 2582, 9, 36, 9, 465, 2074, 2074, 139, 7, 1779, 3852, 21, 102, 1348, 143, 4, 271, 21, 1663, 1421, 9, 157, 928, 10056, 8, 223, 31, 22241, 19170, 157, 2062, 16193, 5543, 4, 1119, 557, 21, 756, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 2244, 5552, 2217, 29866, 26, 430, 1413, 1837, 5082, 185, 8430, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 274, 2074, 2074, 139, 348, 20, 1172, 20, 466, 3332, 32887, 5272, 4, 21163, 1982, 9, 157, 2062, 163, 4, 11054, 41, 5492, 387, 989, 1629, 4, 2200, 13, 6, 799, 12153, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 465, 2074, 2074, 139, 16440, 928, 10056, 57, 590, 4, 34073, 7 ]
99,231
46698
[ 400, 20, 1531, 3417, 32887, 5272, 15, 775, 15237, 4, 3393, 9, 140, 21811, 1982, 9, 157, 2062, 163, 4, 2200, 13, 6, 799, 12153, 5, 135, 2074, 2074, 657, 11683, 9, 198, 9, 1031, 2074, 2074, 139, 860, 3932, 9920, 31, 41, 724, 25, 6, 404, 12153, 4, 34073, 7, 102, 675, 21088, 410, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 7940, 9616, 2323, 28421, 26, 26562, 1870, 54, 9300, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 402, 2074, 2074, 139, 36, 20, 402, 20, 297, 3332, 32887, 4523, 4, 5603, 68, 9, 401, 928, 4, 1982, 9, 157, 2062, 1409, 4, 1707, 6, 799, 12153, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 91, 2074, 2074, 139, 1982, 9, 157, 2062, 1409, 31, 188, 3912, 34, 14, 5971, 134, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 2217, 11276, 2217, 32852, 26, 26396, 1206, 185, 479, 887, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 198, 2074, 2074, 139, 54, 20, 479, 20, 1342, 3417, 32887, 4523, 4, 1707, 6, 799, 12153, 775, 15237, 21, 107, 4, 271, 21, 1715, 102, 99, 410, 10, 540, 1686, 229, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 1738, 5017, 791, 32408, 26, 430, 1841, 1870, 19793, 1926, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 465, 2074, 2074, 139, 82, 20, 414, 20, 9114, 3332, 18677, 606, 1779, 3852, 15, 878, 860, 133, 4, 1707, 6, 799, 12153, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 198, 2074, 2074, 139, 1779, 3852, 21, 176, 4, 271, 21, 14, 236, 1073, 324, 10196, 7, 1715, 860, 7, 46, 21, 72, 176, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 7291, 583, 2232, 26246, 26, 430, 1949, 583, 8005, 185, 10070, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 465, 2074, 2074, 139, 208, 20, 656, 20, 334, 3332, 32887, 4523, 4, 1707, 6, 799, 12153, 2180, 25, 135, 2074, 2074, 657, 2582, 9, 36, 9, 465, 2074, 2074, 139, 7, 1779, 3852, 21, 102, 1348, 143, 4, 271, 21, 1663, 1421, 9, 157, 928, 10056, 8, 223, 31, 22241, 19170, 157, 2062, 16193, 5543, 4, 1119, 557, 21, 756, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 2244, 5552, 2217, 29866, 26, 430, 1413, 1837, 5082, 185, 8430, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 274, 2074, 2074, 139, 348, 20, 1172, 20, 466, 3332, 32887, 5272, 4, 21163, 1982, 9, 157, 2062, 163, 4, 11054, 41, 5492, 387, 989, 1629, 4, 2200, 13, 6, 799, 12153, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 465, 2074, 2074, 139, 16440, 928, 10056, 57, 590, 4, 34073, 7, 540, 532, 406, 1409, 31, 143, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 5260, 11276, 2323, 28358, 26, 32501, 116, 19793, 185, 13901, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 274, 2074, 2074, 139, 219, 20, 627, 20, 334, 3417, 2074, 572, 348, 9920, 5, 4676, 6450, 2074, 32887, 11480, 2026, 659, 15, 12960, 279, 4, 12881, 1982, 9, 157, 163, 63, 33, 244, 13, 989, 1629, 4, 157, 2062, 8064, 10, 174, 7, 272, 7, 806, 10204, 7, 11116, 9, 449, 116, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 2263, 9014, 2323, 29174, 26, 5310, 34060, 36, 185, 8053, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 479, 2074, 2074, 139, 348, 20, 249, 20, 1531, 3332, 2074, 701, 6, 94, 7, 125, 17, 8178, 16446, 1980, 2074, 32887, 11480, 2026, 659, 4, 8075, 17815, 4, 12881, 1982, 9, 157, 163, 63, 33, 244, 13, 3895, 8, 26, 30, 1629, 4, 157, 2062, 8064, 10, 174, 7, 272, 7, 8, 806, 10204, 44, 8248, 157, 2062, 10, 11116, 7, 157, 2062, 8064, 10, 14062, 9, 449, 116, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 8996, 5552, 2232, 28421, 26, 135, 2074, 2074, 2221, 16645, 17688, 8030, 5507, 2074, 2074, 139, 185, 10537, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 479, 2074, 2074, 139, 580, 20, 8976, 20, 1020, 3417, 2074, 701, 2658, 7, 2901, 2074, 32887, 11480, 2026, 659, 4, 12881, 1982, 9, 157, 163, 63, 33, 244, 13, 3895, 8, 26, 30, 1629, 4, 157, 2062, 8064, 10, 174, 7, 272, 7, 8, 806, 10204, 44, 8248, 157, 2062, 10, 11116, 7, 157, 2062, 8064, 10, 14062, 9, 449, 116, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 827, 10679, 827, 32408, 26, 34350, 627, 185, 656, 185, 13193, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 580, 2074, 2074, 139, 479, 20, 777, 20, 1020, 3417, 2074, 1078, 2710, 7, 2901, 2074, 8075, 5968, 1779, 11480, 2026, 659, 4, 8123, 860, 3895, 4, 12881, 1982, 9, 157, 163, 63, 33, 244, 13, 860, 3895, 4, 157, 2062, 8064, 10, 174, 7, 272, 7, 806, 10204, 7, 11116, 9, 449, 116, 4, 37, 11116, 157, 2062, 16193, 5543, 31, 2039, 8, 9223, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 2457, 7183, 2263, 19478, 26, 430, 1577, 185, 892, 5451, 185, 12932, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 580, 2074, 2074, 139, 580, 20, 1308, 20, 198, 3417, 2074, 5517, 2710, 7, 2135, 13, 7612, 7, 2901, 2074, 32887, 11480, 2026, 659, 4, 8123, 860, 3895, 4, 12881, 1982, 9, 157, 163, 1715, 244, 13, 860, 3895, 4, 157, 2062, 8064, 10, 174 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 400, 20, 1531, 3417, 32887, 5272, 15, 775, 15237, 4, 3393, 9, 140, 21811, 1982, 9, 157, 2062, 163, 4, 2200, 13, 6, 799, 12153, 5, 135, 2074, 2074, 657, 11683, 9, 198, 9, 1031, 2074, 2074, 139, 860, 3932, 9920, 31, 41, 724, 25, 6, 404, 12153, 4, 34073, 7, 102, 675, 21088, 410, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 7940, 9616, 2323, 28421, 26, 26562, 1870, 54, 9300, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 402, 2074, 2074, 139, 36, 20, 402, 20, 297, 3332, 32887, 4523, 4, 5603, 68, 9, 401, 928, 4, 1982, 9, 157, 2062, 1409, 4, 1707, 6, 799, 12153, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 91, 2074, 2074, 139, 1982, 9, 157, 2062, 1409, 31, 188, 3912, 34, 14, 5971, 134, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 2217, 11276, 2217, 32852, 26, 26396, 1206, 185, 479, 887, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 198, 2074, 2074, 139, 54, 20, 479, 20, 1342, 3417, 32887, 4523, 4, 1707, 6, 799, 12153, 775, 15237, 21, 107, 4, 271, 21, 1715, 102, 99, 410, 10, 540, 1686, 229, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 1738, 5017, 791, 32408, 26, 430, 1841, 1870, 19793, 1926, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 465, 2074, 2074, 139, 82, 20, 414, 20, 9114, 3332, 18677, 606, 1779, 3852, 15, 878, 860, 133, 4, 1707, 6, 799, 12153, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 198, 2074, 2074, 139, 1779, 3852, 21, 176, 4, 271, 21, 14, 236, 1073, 324, 10196, 7, 1715, 860, 7, 46, 21, 72, 176, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 7291, 583, 2232, 26246, 26, 430, 1949, 583, 8005, 185, 10070, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 465, 2074, 2074, 139, 208, 20, 656, 20, 334, 3332, 32887, 4523, 4, 1707, 6, 799, 12153, 2180, 25, 135, 2074, 2074, 657, 2582, 9, 36, 9, 465, 2074, 2074, 139, 7, 1779, 3852, 21, 102, 1348, 143, 4, 271, 21, 1663, 1421, 9, 157, 928, 10056, 8, 223, 31, 22241, 19170, 157, 2062, 16193, 5543, 4, 1119, 557, 21, 756, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 2244, 5552, 2217, 29866, 26, 430, 1413, 1837, 5082, 185, 8430, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 274, 2074, 2074, 139, 348, 20, 1172, 20, 466, 3332, 32887, 5272, 4, 21163, 1982, 9, 157, 2062, 163, 4, 11054, 41, 5492, 387, 989, 1629, 4, 2200, 13, 6, 799, 12153, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 465, 2074, 2074, 139, 16440, 928, 10056, 57, 590, 4, 34073, 7, 540, 532, 406, 1409, 31, 143, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 5260, 11276, 2323, 28358, 26, 32501, 116, 19793, 185, 13901, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 274, 2074, 2074, 139, 219, 20, 627, 20, 334, 3417, 2074, 572, 348, 9920, 5, 4676, 6450, 2074, 32887, 11480, 2026, 659, 15, 12960, 279, 4, 12881, 1982, 9, 157, 163, 63, 33, 244, 13, 989, 1629, 4, 157, 2062, 8064, 10, 174, 7, 272, 7, 806, 10204, 7, 11116, 9, 449, 116, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 2263, 9014, 2323, 29174, 26, 5310, 34060, 36, 185, 8053, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 479, 2074, 2074, 139, 348, 20, 249, 20, 1531, 3332, 2074, 701, 6, 94, 7, 125, 17, 8178, 16446, 1980, 2074, 32887, 11480, 2026, 659, 4, 8075, 17815, 4, 12881, 1982, 9, 157, 163, 63, 33, 244, 13, 3895, 8, 26, 30, 1629, 4, 157, 2062, 8064, 10, 174, 7, 272, 7, 8, 806, 10204, 44, 8248, 157, 2062, 10, 11116, 7, 157, 2062, 8064, 10, 14062, 9, 449, 116, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 8996, 5552, 2232, 28421, 26, 135, 2074, 2074, 2221, 16645, 17688, 8030, 5507, 2074, 2074, 139, 185, 10537, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 479, 2074, 2074, 139, 580, 20, 8976, 20, 1020, 3417, 2074, 701, 2658, 7, 2901, 2074, 32887, 11480, 2026, 659, 4, 12881, 1982, 9, 157, 163, 63, 33, 244, 13, 3895, 8, 26, 30, 1629, 4, 157, 2062, 8064, 10, 174, 7, 272, 7, 8, 806, 10204, 44, 8248, 157, 2062, 10, 11116, 7, 157, 2062, 8064, 10, 14062, 9, 449, 116, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 827, 10679, 827, 32408, 26, 34350, 627, 185, 656, 185, 13193, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 580, 2074, 2074, 139, 479, 20, 777, 20, 1020, 3417, 2074, 1078, 2710, 7, 2901, 2074, 8075, 5968, 1779, 11480, 2026, 659, 4, 8123, 860, 3895, 4, 12881, 1982, 9, 157, 163, 63, 33, 244, 13, 860, 3895, 4, 157, 2062, 8064, 10, 174, 7, 272, 7, 806, 10204, 7, 11116, 9, 449, 116, 4, 37, 11116, 157, 2062, 16193, 5543, 31, 2039, 8, 9223, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 2457, 7183, 2263, 19478, 26, 430, 1577, 185, 892, 5451, 185, 12932, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 580, 2074, 2074, 139, 580, 20, 1308, 20, 198, 3417, 2074, 5517, 2710, 7, 2135, 13, 7612, 7, 2901, 2074, 32887, 11480, 2026, 659, 4, 8123, 860, 3895, 4, 12881, 1982, 9, 157, 163, 1715, 244, 13, 860, 3895, 4, 157, 2062, 8064, 10, 174 ]
99,231
46698
[ 540, 532, 406, 1409, 31, 143, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 5260, 11276, 2323, 28358, 26, 32501, 116, 19793, 185, 13901, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 274, 2074, 2074, 139, 219, 20, 627, 20, 334, 3417, 2074, 572, 348, 9920, 5, 4676, 6450, 2074, 32887, 11480, 2026, 659, 15, 12960, 279, 4, 12881, 1982, 9, 157, 163, 63, 33, 244, 13, 989, 1629, 4, 157, 2062, 8064, 10, 174, 7, 272, 7, 806, 10204, 7, 11116, 9, 449, 116, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 2263, 9014, 2323, 29174, 26, 5310, 34060, 36, 185, 8053, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 479, 2074, 2074, 139, 348, 20, 249, 20, 1531, 3332, 2074, 701, 6, 94, 7, 125, 17, 8178, 16446, 1980, 2074, 32887, 11480, 2026, 659, 4, 8075, 17815, 4, 12881, 1982, 9, 157, 163, 63, 33, 244, 13, 3895, 8, 26, 30, 1629, 4, 157, 2062, 8064, 10, 174, 7, 272, 7, 8, 806, 10204, 44, 8248, 157, 2062, 10, 11116, 7, 157, 2062, 8064, 10, 14062, 9, 449, 116, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 8996, 5552, 2232, 28421, 26, 135, 2074, 2074, 2221, 16645, 17688, 8030, 5507, 2074, 2074, 139, 185, 10537, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 479, 2074, 2074, 139, 580, 20, 8976, 20, 1020, 3417, 2074, 701, 2658, 7, 2901, 2074, 32887, 11480, 2026, 659, 4, 12881, 1982, 9, 157, 163, 63, 33, 244, 13, 3895, 8, 26, 30, 1629, 4, 157, 2062, 8064, 10, 174, 7, 272, 7, 8, 806, 10204, 44, 8248, 157, 2062, 10, 11116, 7, 157, 2062, 8064, 10, 14062, 9, 449, 116, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 827, 10679, 827, 32408, 26, 34350, 627, 185, 656, 185, 13193, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 580, 2074, 2074, 139, 479, 20, 777, 20, 1020, 3417, 2074, 1078, 2710, 7, 2901, 2074, 8075, 5968, 1779, 11480, 2026, 659, 4, 8123, 860, 3895, 4, 12881, 1982, 9, 157, 163, 63, 33, 244, 13, 860, 3895, 4, 157, 2062, 8064, 10, 174, 7, 272, 7, 806, 10204, 7, 11116, 9, 449, 116, 4, 37, 11116, 157, 2062, 16193, 5543, 31, 2039, 8, 9223, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 2457, 7183, 2263, 19478, 26, 430, 1577, 185, 892, 5451, 185, 12932, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 580, 2074, 2074, 139, 580, 20, 1308, 20, 198, 3417, 2074, 5517, 2710, 7, 2135, 13, 7612, 7, 2901, 2074, 32887, 11480, 2026, 659, 4, 8123, 860, 3895, 4, 12881, 1982, 9, 157, 163, 1715, 244, 13, 860, 3895, 4, 157, 2062, 8064, 10, 174, 7, 272, 7, 806, 10204, 7, 15935, 10, 11116, 7, 9933, 10, 14062, 9, 449, 116, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 2487, 9300, 2217, 22626, 26, 430, 1841, 334, 34060, 185, 13193, 4, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 580, 2074, 2074, 139, 348, 20, 1756, 20, 1577, 3332, 2074, 4601, 16446, 1980, 2074, 32887, 5272, 4, 8123, 860, 3895, 4, 12881, 1982, 9, 157, 163, 1715, 244, 13, 3895, 8, 26, 30, 1629, 4, 157, 2062, 8064, 10, 174, 7, 272, 7, 806, 10204, 7, 15935, 10, 11116, 7, 9933, 10, 14062, 9, 449, 116, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 7145, 10691, 2232, 30285, 26, 30285, 36, 32219, 185, 12467, 4, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 36321, 313, 2435, 6278, 237, 28083, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 135, 2074, 2074, 657, 2582, 9, 36, 9, 414, 2074, 2074, 139, 8559, 20, 4129, 3332, 230, 5783, 10097, 12021, 9, 3545, 2074, 7074, 9, 29980, 2074, 15850, 787, 9, 5722, 2074, 313, 23487, 9, 26202, 2074, 27484, 9, 2465, 25159, 9, 29855, 286, 21765, 9, 29358, 2074, 29215, 9, 20487, 2074, 4752, 527, 305, 527, 9, 10333, 2074, 135, 2074, 2074, 657, 2582, 9, 36, 9, 414, 2074, 2074, 139, 8559, 20, 4129, 3332, 230, 5783, 10097, 4752, 527, 305, 527, 9, 10333, 2074, 135, 2074, 2074, 657, 2582, 9, 36, 9, 414, 2074, 2074, 139, 8559, 20, 4129, 3332, 230, 5783, 10097, 3523, 9, 22580, 2074, 20340, 9, 29010, 16815, 12, 3523, 11, 185, 2766, 2074, 135, 2074, 2074, 657, 2582, 9, 36, 9, 414, 2074, 2074, 139, 8559, 20, 4129, 3332, 230, 5783, 10097, 9517, 9, 1087, 16432, 806, 190, 9, 208, 9261, 34, 9, 1768, 2074, 11084, 1491, 9, 10267, 473, 9, 5009, 2989, 9, 6629, 21967, 9, 892, 2074, 1955, 31453, 9, 208, 135, 2074, 2074, 657, 2582, 9, 36, 9, 414, 2074, 2074, 139, 8559, 20, 4129, 3332, 230, 5783, 10097, 9039, 9, 5953, 2074, 17497, 279, 9, 3791, 2074, 4901, 9, 2865, 2074, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 28953, 3409, 2685, 4359, 1196, 1015, 19589, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 135, 2074, 2074, 657, 2582, 9, 36, 9, 91, 2074, 2074, 139, 402, 20, 4229, 3417, 230, 5783, 10097, 5753, 12, 30339, 11, 27258, 2074, 135, 2074, 2074, 657, 2582, 9, 36, 9, 402, 2074, 2074, 139, 7277, 20, 430, 926, 3332, 230, 5783, 10097, 4424, 12, 7234, 11, 16889, 1446, 2074, 5753, 12, 30339, 11, 34060, 2074, 38460, 21960, 390, 9, 2805, 31381, 21960, 390, 9, 1610, 32469, 21960, 390, 9, 2464, 135, 2074, 2074, 657, 2582, 9, 36, 9, 465, 2074, 2074, 139, 402, 20 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 532, 406, 1409, 31, 143, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 5260, 11276, 2323, 28358, 26, 32501, 116, 19793, 185, 13901, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 274, 2074, 2074, 139, 219, 20, 627, 20, 334, 3417, 2074, 572, 348, 9920, 5, 4676, 6450, 2074, 32887, 11480, 2026, 659, 15, 12960, 279, 4, 12881, 1982, 9, 157, 163, 63, 33, 244, 13, 989, 1629, 4, 157, 2062, 8064, 10, 174, 7, 272, 7, 806, 10204, 7, 11116, 9, 449, 116, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 2263, 9014, 2323, 29174, 26, 5310, 34060, 36, 185, 8053, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 479, 2074, 2074, 139, 348, 20, 249, 20, 1531, 3332, 2074, 701, 6, 94, 7, 125, 17, 8178, 16446, 1980, 2074, 32887, 11480, 2026, 659, 4, 8075, 17815, 4, 12881, 1982, 9, 157, 163, 63, 33, 244, 13, 3895, 8, 26, 30, 1629, 4, 157, 2062, 8064, 10, 174, 7, 272, 7, 8, 806, 10204, 44, 8248, 157, 2062, 10, 11116, 7, 157, 2062, 8064, 10, 14062, 9, 449, 116, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 8996, 5552, 2232, 28421, 26, 135, 2074, 2074, 2221, 16645, 17688, 8030, 5507, 2074, 2074, 139, 185, 10537, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 479, 2074, 2074, 139, 580, 20, 8976, 20, 1020, 3417, 2074, 701, 2658, 7, 2901, 2074, 32887, 11480, 2026, 659, 4, 12881, 1982, 9, 157, 163, 63, 33, 244, 13, 3895, 8, 26, 30, 1629, 4, 157, 2062, 8064, 10, 174, 7, 272, 7, 8, 806, 10204, 44, 8248, 157, 2062, 10, 11116, 7, 157, 2062, 8064, 10, 14062, 9, 449, 116, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 827, 10679, 827, 32408, 26, 34350, 627, 185, 656, 185, 13193, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 580, 2074, 2074, 139, 479, 20, 777, 20, 1020, 3417, 2074, 1078, 2710, 7, 2901, 2074, 8075, 5968, 1779, 11480, 2026, 659, 4, 8123, 860, 3895, 4, 12881, 1982, 9, 157, 163, 63, 33, 244, 13, 860, 3895, 4, 157, 2062, 8064, 10, 174, 7, 272, 7, 806, 10204, 7, 11116, 9, 449, 116, 4, 37, 11116, 157, 2062, 16193, 5543, 31, 2039, 8, 9223, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 2457, 7183, 2263, 19478, 26, 430, 1577, 185, 892, 5451, 185, 12932, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 580, 2074, 2074, 139, 580, 20, 1308, 20, 198, 3417, 2074, 5517, 2710, 7, 2135, 13, 7612, 7, 2901, 2074, 32887, 11480, 2026, 659, 4, 8123, 860, 3895, 4, 12881, 1982, 9, 157, 163, 1715, 244, 13, 860, 3895, 4, 157, 2062, 8064, 10, 174, 7, 272, 7, 806, 10204, 7, 15935, 10, 11116, 7, 9933, 10, 14062, 9, 449, 116, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 2487, 9300, 2217, 22626, 26, 430, 1841, 334, 34060, 185, 13193, 4, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 580, 2074, 2074, 139, 348, 20, 1756, 20, 1577, 3332, 2074, 4601, 16446, 1980, 2074, 32887, 5272, 4, 8123, 860, 3895, 4, 12881, 1982, 9, 157, 163, 1715, 244, 13, 3895, 8, 26, 30, 1629, 4, 157, 2062, 8064, 10, 174, 7, 272, 7, 806, 10204, 7, 15935, 10, 11116, 7, 9933, 10, 14062, 9, 449, 116, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 7145, 10691, 2232, 30285, 26, 30285, 36, 32219, 185, 12467, 4, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 36321, 313, 2435, 6278, 237, 28083, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 135, 2074, 2074, 657, 2582, 9, 36, 9, 414, 2074, 2074, 139, 8559, 20, 4129, 3332, 230, 5783, 10097, 12021, 9, 3545, 2074, 7074, 9, 29980, 2074, 15850, 787, 9, 5722, 2074, 313, 23487, 9, 26202, 2074, 27484, 9, 2465, 25159, 9, 29855, 286, 21765, 9, 29358, 2074, 29215, 9, 20487, 2074, 4752, 527, 305, 527, 9, 10333, 2074, 135, 2074, 2074, 657, 2582, 9, 36, 9, 414, 2074, 2074, 139, 8559, 20, 4129, 3332, 230, 5783, 10097, 4752, 527, 305, 527, 9, 10333, 2074, 135, 2074, 2074, 657, 2582, 9, 36, 9, 414, 2074, 2074, 139, 8559, 20, 4129, 3332, 230, 5783, 10097, 3523, 9, 22580, 2074, 20340, 9, 29010, 16815, 12, 3523, 11, 185, 2766, 2074, 135, 2074, 2074, 657, 2582, 9, 36, 9, 414, 2074, 2074, 139, 8559, 20, 4129, 3332, 230, 5783, 10097, 9517, 9, 1087, 16432, 806, 190, 9, 208, 9261, 34, 9, 1768, 2074, 11084, 1491, 9, 10267, 473, 9, 5009, 2989, 9, 6629, 21967, 9, 892, 2074, 1955, 31453, 9, 208, 135, 2074, 2074, 657, 2582, 9, 36, 9, 414, 2074, 2074, 139, 8559, 20, 4129, 3332, 230, 5783, 10097, 9039, 9, 5953, 2074, 17497, 279, 9, 3791, 2074, 4901, 9, 2865, 2074, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 28953, 3409, 2685, 4359, 1196, 1015, 19589, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 135, 2074, 2074, 657, 2582, 9, 36, 9, 91, 2074, 2074, 139, 402, 20, 4229, 3417, 230, 5783, 10097, 5753, 12, 30339, 11, 27258, 2074, 135, 2074, 2074, 657, 2582, 9, 36, 9, 402, 2074, 2074, 139, 7277, 20, 430, 926, 3332, 230, 5783, 10097, 4424, 12, 7234, 11, 16889, 1446, 2074, 5753, 12, 30339, 11, 34060, 2074, 38460, 21960, 390, 9, 2805, 31381, 21960, 390, 9, 1610, 32469, 21960, 390, 9, 2464, 135, 2074, 2074, 657, 2582, 9, 36, 9, 465, 2074, 2074, 139, 402, 20 ]
99,231
46698
[ 7, 272, 7, 806, 10204, 7, 15935, 10, 11116, 7, 9933, 10, 14062, 9, 449, 116, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 2487, 9300, 2217, 22626, 26, 430, 1841, 334, 34060, 185, 13193, 4, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 580, 2074, 2074, 139, 348, 20, 1756, 20, 1577, 3332, 2074, 4601, 16446, 1980, 2074, 32887, 5272, 4, 8123, 860, 3895, 4, 12881, 1982, 9, 157, 163, 1715, 244, 13, 3895, 8, 26, 30, 1629, 4, 157, 2062, 8064, 10, 174, 7, 272, 7, 806, 10204, 7, 15935, 10, 11116, 7, 9933, 10, 14062, 9, 449, 116, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 7145, 10691, 2232, 30285, 26, 30285, 36, 32219, 185, 12467, 4, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 36321, 313, 2435, 6278, 237, 28083, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 135, 2074, 2074, 657, 2582, 9, 36, 9, 414, 2074, 2074, 139, 8559, 20, 4129, 3332, 230, 5783, 10097, 12021, 9, 3545, 2074, 7074, 9, 29980, 2074, 15850, 787, 9, 5722, 2074, 313, 23487, 9, 26202, 2074, 27484, 9, 2465, 25159, 9, 29855, 286, 21765, 9, 29358, 2074, 29215, 9, 20487, 2074, 4752, 527, 305, 527, 9, 10333, 2074, 135, 2074, 2074, 657, 2582, 9, 36, 9, 414, 2074, 2074, 139, 8559, 20, 4129, 3332, 230, 5783, 10097, 4752, 527, 305, 527, 9, 10333, 2074, 135, 2074, 2074, 657, 2582, 9, 36, 9, 414, 2074, 2074, 139, 8559, 20, 4129, 3332, 230, 5783, 10097, 3523, 9, 22580, 2074, 20340, 9, 29010, 16815, 12, 3523, 11, 185, 2766, 2074, 135, 2074, 2074, 657, 2582, 9, 36, 9, 414, 2074, 2074, 139, 8559, 20, 4129, 3332, 230, 5783, 10097, 9517, 9, 1087, 16432, 806, 190, 9, 208, 9261, 34, 9, 1768, 2074, 11084, 1491, 9, 10267, 473, 9, 5009, 2989, 9, 6629, 21967, 9, 892, 2074, 1955, 31453, 9, 208, 135, 2074, 2074, 657, 2582, 9, 36, 9, 414, 2074, 2074, 139, 8559, 20, 4129, 3332, 230, 5783, 10097, 9039, 9, 5953, 2074, 17497, 279, 9, 3791, 2074, 4901, 9, 2865, 2074, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 28953, 3409, 2685, 4359, 1196, 1015, 19589, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 135, 2074, 2074, 657, 2582, 9, 36, 9, 91, 2074, 2074, 139, 402, 20, 4229, 3417, 230, 5783, 10097, 5753, 12, 30339, 11, 27258, 2074, 135, 2074, 2074, 657, 2582, 9, 36, 9, 402, 2074, 2074, 139, 7277, 20, 430, 926, 3332, 230, 5783, 10097, 4424, 12, 7234, 11, 16889, 1446, 2074, 5753, 12, 30339, 11, 34060, 2074, 38460, 21960, 390, 9, 2805, 31381, 21960, 390, 9, 1610, 32469, 21960, 390, 9, 2464, 135, 2074, 2074, 657, 2582, 9, 36, 9, 465, 2074, 2074, 139, 402, 20, 6611, 3332, 230, 5783, 10097, 5753, 12, 30339, 11, 23734, 2074, 135, 2074, 2074, 657, 2582, 9, 36, 9, 465, 2074, 2074, 139, 7277, 20, 4005, 3417, 230, 5783, 10097, 5753, 12, 30339, 11, 8005, 2074, 135, 2074, 2074, 657, 2582, 9, 36, 9, 479, 2074, 2074, 139, 8015, 20, 3536, 3332, 230, 5783, 10097, 5753, 12, 30339, 11, 185, 1648, 135, 2074, 2074, 657, 2582, 9, 36, 9, 479, 2074, 2074, 139, 8559, 20, 5216, 3332, 230, 5783, 10097, 5753, 12, 30339, 11, 30290, 135, 2074, 2074, 657, 2582, 9, 36, 9, 479, 2074, 2074, 139, 8015, 20, 5224, 3417, 230, 5783, 10097, 5753, 12, 30339, 11, 185, 1737, 135, 2074, 2074, 657, 2582, 9, 36, 9, 91, 2074, 2074, 139, 402, 20, 4229, 3417, 230, 5783, 10097, 5753, 9, 5081, 9, 13470, 261, 86, 704, 19591, 790, 157, 9, 2470, 2074, 135, 2074, 2074, 657, 2582, 9, 36, 9, 402, 2074, 2074, 139, 7277, 20, 430, 926, 3332, 230, 5783, 10097, 5753, 9, 5081, 9, 13470, 261, 86, 704, 19591, 790, 157, 9, 2470, 2074, 135, 2074, 2074, 657, 2582, 9, 36, 9, 465, 2074, 2074, 139, 402, 20, 6611, 3332, 230, 5783, 10097, 5753, 9, 5081, 9, 13470, 261, 86, 704, 19591, 790, 157, 9, 7012, 2074, 135, 2074, 2074, 657, 2582, 9, 36, 9, 465, 2074, 2074, 139, 7277, 20, 4005, 3417, 230, 5783, 10097, 5753, 9, 5081, 9, 13470, 261, 86, 704, 19591, 790, 157, 9, 6249, 2074, 135, 2074, 2074, 657, 2582, 9, 36, 9, 479, 2074, 2074, 139, 8015, 20, 3536, 3332, 230, 5783, 10097, 5753, 9, 5081, 9, 13470, 261, 86, 704, 19591, 790, 157, 9, 3593, 2074, 135, 2074, 2074, 657, 2582, 9, 36, 9, 479, 2074, 2074, 139, 8559, 20, 5216, 3332, 230, 5783, 10097, 5753, 9, 5081, 9, 13470, 261, 86, 704, 19591, 790, 157, 9, 394, 2074, 135, 2074, 2074, 657, 2582, 9, 36, 9, 479, 2074, 2074, 139, 8015, 20, 5224, 3417, 230, 5783, 10097, 5753, 9, 5081, 9, 13470, 261, 86, 704, 19591, 790, 157, 9, 3593, 2074, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 7, 272, 7, 806, 10204, 7, 15935, 10, 11116, 7, 9933, 10, 14062, 9, 449, 116, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 2487, 9300, 2217, 22626, 26, 430, 1841, 334, 34060, 185, 13193, 4, 4, 25167, 5469, 4281, 1237, 261, 786, 5, 135, 2074, 2074, 657, 2582, 9, 36, 9, 580, 2074, 2074, 139, 348, 20, 1756, 20, 1577, 3332, 2074, 4601, 16446, 1980, 2074, 32887, 5272, 4, 8123, 860, 3895, 4, 12881, 1982, 9, 157, 163, 1715, 244, 13, 3895, 8, 26, 30, 1629, 4, 157, 2062, 8064, 10, 174, 7, 272, 7, 806, 10204, 7, 15935, 10, 11116, 7, 9933, 10, 14062, 9, 449, 116, 4, 3590, 24985, 11441, 744, 13675, 2787, 11120, 8858, 26, 16440, 68, 11120, 157, 7145, 10691, 2232, 30285, 26, 30285, 36, 32219, 185, 12467, 4, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 36321, 313, 2435, 6278, 237, 28083, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 135, 2074, 2074, 657, 2582, 9, 36, 9, 414, 2074, 2074, 139, 8559, 20, 4129, 3332, 230, 5783, 10097, 12021, 9, 3545, 2074, 7074, 9, 29980, 2074, 15850, 787, 9, 5722, 2074, 313, 23487, 9, 26202, 2074, 27484, 9, 2465, 25159, 9, 29855, 286, 21765, 9, 29358, 2074, 29215, 9, 20487, 2074, 4752, 527, 305, 527, 9, 10333, 2074, 135, 2074, 2074, 657, 2582, 9, 36, 9, 414, 2074, 2074, 139, 8559, 20, 4129, 3332, 230, 5783, 10097, 4752, 527, 305, 527, 9, 10333, 2074, 135, 2074, 2074, 657, 2582, 9, 36, 9, 414, 2074, 2074, 139, 8559, 20, 4129, 3332, 230, 5783, 10097, 3523, 9, 22580, 2074, 20340, 9, 29010, 16815, 12, 3523, 11, 185, 2766, 2074, 135, 2074, 2074, 657, 2582, 9, 36, 9, 414, 2074, 2074, 139, 8559, 20, 4129, 3332, 230, 5783, 10097, 9517, 9, 1087, 16432, 806, 190, 9, 208, 9261, 34, 9, 1768, 2074, 11084, 1491, 9, 10267, 473, 9, 5009, 2989, 9, 6629, 21967, 9, 892, 2074, 1955, 31453, 9, 208, 135, 2074, 2074, 657, 2582, 9, 36, 9, 414, 2074, 2074, 139, 8559, 20, 4129, 3332, 230, 5783, 10097, 9039, 9, 5953, 2074, 17497, 279, 9, 3791, 2074, 4901, 9, 2865, 2074, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 28953, 3409, 2685, 4359, 1196, 1015, 19589, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 135, 2074, 2074, 657, 2582, 9, 36, 9, 91, 2074, 2074, 139, 402, 20, 4229, 3417, 230, 5783, 10097, 5753, 12, 30339, 11, 27258, 2074, 135, 2074, 2074, 657, 2582, 9, 36, 9, 402, 2074, 2074, 139, 7277, 20, 430, 926, 3332, 230, 5783, 10097, 4424, 12, 7234, 11, 16889, 1446, 2074, 5753, 12, 30339, 11, 34060, 2074, 38460, 21960, 390, 9, 2805, 31381, 21960, 390, 9, 1610, 32469, 21960, 390, 9, 2464, 135, 2074, 2074, 657, 2582, 9, 36, 9, 465, 2074, 2074, 139, 402, 20, 6611, 3332, 230, 5783, 10097, 5753, 12, 30339, 11, 23734, 2074, 135, 2074, 2074, 657, 2582, 9, 36, 9, 465, 2074, 2074, 139, 7277, 20, 4005, 3417, 230, 5783, 10097, 5753, 12, 30339, 11, 8005, 2074, 135, 2074, 2074, 657, 2582, 9, 36, 9, 479, 2074, 2074, 139, 8015, 20, 3536, 3332, 230, 5783, 10097, 5753, 12, 30339, 11, 185, 1648, 135, 2074, 2074, 657, 2582, 9, 36, 9, 479, 2074, 2074, 139, 8559, 20, 5216, 3332, 230, 5783, 10097, 5753, 12, 30339, 11, 30290, 135, 2074, 2074, 657, 2582, 9, 36, 9, 479, 2074, 2074, 139, 8015, 20, 5224, 3417, 230, 5783, 10097, 5753, 12, 30339, 11, 185, 1737, 135, 2074, 2074, 657, 2582, 9, 36, 9, 91, 2074, 2074, 139, 402, 20, 4229, 3417, 230, 5783, 10097, 5753, 9, 5081, 9, 13470, 261, 86, 704, 19591, 790, 157, 9, 2470, 2074, 135, 2074, 2074, 657, 2582, 9, 36, 9, 402, 2074, 2074, 139, 7277, 20, 430, 926, 3332, 230, 5783, 10097, 5753, 9, 5081, 9, 13470, 261, 86, 704, 19591, 790, 157, 9, 2470, 2074, 135, 2074, 2074, 657, 2582, 9, 36, 9, 465, 2074, 2074, 139, 402, 20, 6611, 3332, 230, 5783, 10097, 5753, 9, 5081, 9, 13470, 261, 86, 704, 19591, 790, 157, 9, 7012, 2074, 135, 2074, 2074, 657, 2582, 9, 36, 9, 465, 2074, 2074, 139, 7277, 20, 4005, 3417, 230, 5783, 10097, 5753, 9, 5081, 9, 13470, 261, 86, 704, 19591, 790, 157, 9, 6249, 2074, 135, 2074, 2074, 657, 2582, 9, 36, 9, 479, 2074, 2074, 139, 8015, 20, 3536, 3332, 230, 5783, 10097, 5753, 9, 5081, 9, 13470, 261, 86, 704, 19591, 790, 157, 9, 3593, 2074, 135, 2074, 2074, 657, 2582, 9, 36, 9, 479, 2074, 2074, 139, 8559, 20, 5216, 3332, 230, 5783, 10097, 5753, 9, 5081, 9, 13470, 261, 86, 704, 19591, 790, 157, 9, 394, 2074, 135, 2074, 2074, 657, 2582, 9, 36, 9, 479, 2074, 2074, 139, 8015, 20, 5224, 3417, 230, 5783, 10097, 5753, 9, 5081, 9, 13470, 261, 86, 704, 19591, 790, 157, 9, 3593, 2074, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
99,231
46698
[ 5493, 305, 10421, 20, 11507, 5317, 12, 11607, 469, 437, 76, 11, 44, 1591, 31682, 12, 2900, 7488, 21571, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 1591, 440, 5165, 12, 8920, 37792, 581, 998, 76, 11, 44, 4229, 1208, 791, 12, 24169, 36261, 205, 30746, 5, 18363, 30, 98, 533, 7, 8, 205, 30746, 5, 10366, 2155, 7867, 30, 24982, 11, 44, 440, 10044, 12, 7997, 4616, 7093, 11, 44, 7287, 1057, 2263, 12, 2768, 1631, 6158, 8, 2925, 5, 2039, 5662, 5, 1349, 5313, 11, 27730, 305, 10421, 20, 4419, 12982, 10440, 160, 1223, 12748, 2267, 20, 19619, 783, 20, 135, 2074, 2074, 3247, 299, 10357, 402, 12, 299, 11142, 37308, 36, 11, 1266, 1172, 2074, 2074, 139, 135, 2074, 2074, 30760, 299, 11142, 12, 299, 10357, 37308, 85, 11, 4005, 892, 2074, 2074, 139, 7, 3818, 3601, 86, 20, 135, 2074, 2074, 9886, 36169, 26, 278, 7327, 12, 36, 11, 430, 1841, 2074, 2074, 139, 261, 786, 26, 4498, 20, 135, 2074, 2074, 657, 2582, 9, 36, 9, 627, 2074, 2074, 139, 402, 20, 91, 19619, 783, 20, 135, 2074, 2074, 3247, 299, 10357, 402, 12, 299, 11142, 37308, 36, 11, 2074, 2074, 139, 135, 2074, 2074, 30760, 299, 11142, 12, 299, 10357, 37308, 85, 11, 1992, 249, 2074, 2074, 139, 7, 3818, 3601, 86, 20, 135, 2074, 2074, 9886, 36169, 26, 278, 7327, 12, 36, 11, 393, 2207, 2074, 2074, 139, 261, 786, 26, 4498, 20, 135, 2074, 2074, 657, 2582, 9, 36, 9, 249, 2074, 2074, 139, 36, 20, 4094, 19619, 783, 20, 135, 2074, 2074, 299, 10357, 91, 12, 299, 10357, 2882, 11, 657, 5578, 2074, 2074, 139, 135, 2074, 2074, 299, 10357, 402, 12, 299, 10357, 2882, 11, 657, 7145, 2074, 2074, 139, 7, 3818, 3601, 86, 20, 135, 2074, 2074, 9886, 36169, 26, 278, 7327, 12, 36, 11, 393, 2207, 2074, 2074, 139, 261, 786, 26, 4498, 20, 135, 2074, 2074, 657, 2582, 9, 116, 9, 414, 2074, 2074, 139, 91, 20, 4094, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 11507, 5317, 12, 11607, 469, 437, 76, 11, 44, 1591, 31682, 12, 2900, 7488, 21571, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 1591, 440, 5165, 12, 8920, 37792, 581, 998, 76, 11, 44, 4229, 1208, 791, 12, 24169, 36261, 205, 30746, 5, 18363, 30, 98, 533, 7, 8, 205, 30746, 5, 10366, 2155, 7867, 30, 24982, 11, 44, 440, 10044, 12, 7997, 4616, 7093, 11, 44, 7287, 1057, 2263, 12, 2768, 1631, 6158, 8, 2925, 5, 2039, 5662, 5, 1349, 5313, 11, 27730, 305, 10421, 20, 4419, 12982, 10440, 160, 1223, 12748, 2267, 20, 19619, 783, 20, 135, 2074, 2074, 3247, 299, 10357, 402, 12, 299, 11142, 37308, 36, 11, 1266, 1172, 2074, 2074, 139, 135, 2074, 2074, 30760, 299, 11142, 12, 299, 10357, 37308, 85, 11, 4005, 892, 2074, 2074, 139, 7, 3818, 3601, 86, 20, 135, 2074, 2074, 9886, 36169, 26, 278, 7327, 12, 36, 11, 430, 1841, 2074, 2074, 139, 261, 786, 26, 4498, 20, 135, 2074, 2074, 657, 2582, 9, 36, 9, 627, 2074, 2074, 139, 402, 20, 91, 19619, 783, 20, 135, 2074, 2074, 3247, 299, 10357, 402, 12, 299, 11142, 37308, 36, 11, 2074, 2074, 139, 135, 2074, 2074, 30760, 299, 11142, 12, 299, 10357, 37308, 85, 11, 1992, 249, 2074, 2074, 139, 7, 3818, 3601, 86, 20, 135, 2074, 2074, 9886, 36169, 26, 278, 7327, 12, 36, 11, 393, 2207, 2074, 2074, 139, 261, 786, 26, 4498, 20, 135, 2074, 2074, 657, 2582, 9, 36, 9, 249, 2074, 2074, 139, 36, 20, 4094, 19619, 783, 20, 135, 2074, 2074, 299, 10357, 91, 12, 299, 10357, 2882, 11, 657, 5578, 2074, 2074, 139, 135, 2074, 2074, 299, 10357, 402, 12, 299, 10357, 2882, 11, 657, 7145, 2074, 2074, 139, 7, 3818, 3601, 86, 20, 135, 2074, 2074, 9886, 36169, 26, 278, 7327, 12, 36, 11, 393, 2207, 2074, 2074, 139, 261, 786, 26, 4498, 20, 135, 2074, 2074, 657, 2582, 9, 116, 9, 414, 2074, 2074, 139, 91, 20, 4094, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
99,231
46698
[ 5493, 305, 10421, 20, 11507, 5317, 12, 11607, 469, 437, 76, 11, 44, 1591, 31682, 12, 2900, 7488, 21571, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 1591, 440, 5165, 12, 8920, 37792, 581, 998, 76, 11, 44, 4229, 1208, 791, 12, 24169, 36261, 205, 30746, 5, 18363, 30, 98, 533, 7, 8, 205, 30746, 5, 10366, 2155, 7867, 30, 24982, 11, 44, 440, 10044, 12, 7997, 4616, 7093, 11, 44, 7287, 1057, 2263, 12, 2768, 1631, 6158, 8, 2925, 5, 2039, 5662, 5, 1349, 5313, 11, 27730, 305, 10421, 20, 4419, 6827, 17246, 20, 33562, 8, 31550, 74, 15, 599, 8, 135, 2074, 2074, 299, 11142, 12, 13263, 11, 2278, 2529, 2074, 2074, 139, 7, 74, 16614, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 11507, 5317, 12, 11607, 469, 437, 76, 11, 44, 1591, 31682, 12, 2900, 7488, 21571, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 1591, 440, 5165, 12, 8920, 37792, 581, 998, 76, 11, 44, 4229, 1208, 791, 12, 24169, 36261, 205, 30746, 5, 18363, 30, 98, 533, 7, 8, 205, 30746, 5, 10366, 2155, 7867, 30, 24982, 11, 44, 440, 10044, 12, 7997, 4616, 7093, 11, 44, 7287, 1057, 2263, 12, 2768, 1631, 6158, 8, 2925, 5, 2039, 5662, 5, 1349, 5313, 11, 27730, 305, 10421, 20, 4419, 6827, 17246, 20, 33562, 8, 31550, 74, 15, 599, 8, 135, 2074, 2074, 299, 11142, 12, 13263, 11, 2278, 2529, 2074, 2074, 139, 7, 74, 16614, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
99,231
46698
[ 5493, 305, 10421, 20, 11507, 5317, 12, 11607, 469, 437, 76, 11, 44, 1591, 31682, 12, 2900, 7488, 21571, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 1591, 440, 5165, 12, 8920, 37792, 581, 998, 76, 11, 44, 4229, 1208, 791, 12, 24169, 36261, 205, 30746, 5, 18363, 30, 98, 533, 7, 8, 205, 30746, 5, 10366, 2155, 7867, 30, 24982, 11, 44, 440, 10044, 12, 7997, 4616, 7093, 11, 44, 7287, 1057, 2263, 12, 2768, 1631, 6158, 8, 2925, 5, 2039, 5662, 5, 1349, 5313, 11, 27730, 305, 10421, 20, 4419, 36321, 313, 2435, 6278, 2493, 3409, 1799, 18001, 20, 36, 4, 3157, 22561, 37575, 82, 194, 26332, 6613, 5799, 454, 20, 810, 12, 36, 11, 26332, 6613, 6885, 261, 4177, 21568, 12, 11108, 11, 4, 40, 4, 25254, 18713, 194, 26332, 6613, 5799, 454, 20, 810, 12, 36, 11, 26332, 6613, 6885, 261, 4177, 21568, 12, 11108, 11, 4, 54, 4, 10878, 2222, 11257, 82, 194, 26332, 6613, 5799, 454, 20, 722, 12, 40, 11, 26332, 6613, 6885, 3598, 245, 12, 54, 711, 14, 262, 11, 4, 85, 4, 152, 8615, 9, 7527, 103, 9, 278, 7928, 7731, 36, 194, 6638, 6307, 707, 5799, 454, 20, 810, 12, 36, 11, 3133, 110, 6885, 261, 4177, 21568, 12, 11108, 11, 4, 82, 4, 403, 2523, 341, 35607, 219, 194, 6638, 6307, 707, 7, 13163, 15524, 12, 12664, 12598, 11, 5799, 454, 20, 722, 12, 40, 11, 6638, 6307, 707, 7, 13163, 15524, 12, 12664, 12598, 11, 6885, 261, 4177, 21568, 12, 11108, 11, 4, 116, 4, 261, 1236, 37757, 359, 194, 26332, 6613, 5799, 454, 20, 810, 12, 36, 11, 26332, 6613, 6885, 261, 4177, 21568, 12, 11108, 11, 4, 215, 4, 12673, 11445, 4220, 25073, 26332, 6613, 5799, 454, 20, 810, 12, 36, 11, 26332, 6613, 6885, 1421, 11156, 2940, 7, 4001, 6458, 283, 7, 20647, 12, 11, 4, 208, 4, 449, 13945, 38894, 5310, 194, 26332, 6613, 5799, 454, 20, 810, 12, 36, 11, 26332, 6613, 6885, 629, 2448, 7, 20647, 12, 11, 4, 348, 4, 5234, 38396, 32269, 35657, 434, 194, 26332, 6613, 5799, 454, 20, 1211, 26332, 6613, 6885, 31097, 12, 40, 711, 14, 262, 11, 4, 91, 4, 261, 1236, 31867, 2157, 194, 7433, 25, 9012, 169, 5799, 454, 20, 2114, 135, 2074, 2074, 4135, 222, 791, 1740, 249, 2074, 2074, 139, 873, 12, 5310, 11, 194, 10613, 34, 2710, 20, 18, 1337, 228, 25, 135, 2074, 2074, 657, 2582, 9, 36, 9, 991, 2074, 2074, 139, 4, 402, 4, 10701, 11805, 38576, 85, 194, 26332, 6613, 7, 6739, 3031, 10041, 5799, 454, 20, 810, 12, 36, 11, 26332, 6613, 7, 6739, 3031, 10041, 6885, 1873, 1061, 12, 208, 11, 866, 27, 1003, 16, 6523, 4, 198, 4, 6660, 22867, 1969, 359, 1320, 26, 1144, 6337, 28223, 7280, 5799, 454, 20, 15919, 855, 13856, 1537, 2008, 3118, 4, 465, 4, 13202, 871, 9241, 1768, 194, 26332, 6613, 5799, 454, 20, 810, 12, 36, 11, 26332, 6613, 6885, 2750, 14, 262, 20, 2336, 16815, 135, 2074, 2074, 198, 9, 1083, 2074, 2074, 139, 4, 400, 4, 11393, 19285, 466, 194, 26332, 6613, 5799, 454, 20, 810, 12, 36, 11, 26332, 6613, 6885, 261, 4177, 21568, 12, 11108, 11, 4, 274, 4, 29257, 14009, 1875, 19432, 12738, 1320, 26, 1144, 21261, 5799, 454, 20, 34, 2710, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 11507, 5317, 12, 11607, 469, 437, 76, 11, 44, 1591, 31682, 12, 2900, 7488, 21571, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 1591, 440, 5165, 12, 8920, 37792, 581, 998, 76, 11, 44, 4229, 1208, 791, 12, 24169, 36261, 205, 30746, 5, 18363, 30, 98, 533, 7, 8, 205, 30746, 5, 10366, 2155, 7867, 30, 24982, 11, 44, 440, 10044, 12, 7997, 4616, 7093, 11, 44, 7287, 1057, 2263, 12, 2768, 1631, 6158, 8, 2925, 5, 2039, 5662, 5, 1349, 5313, 11, 27730, 305, 10421, 20, 4419, 36321, 313, 2435, 6278, 2493, 3409, 1799, 18001, 20, 36, 4, 3157, 22561, 37575, 82, 194, 26332, 6613, 5799, 454, 20, 810, 12, 36, 11, 26332, 6613, 6885, 261, 4177, 21568, 12, 11108, 11, 4, 40, 4, 25254, 18713, 194, 26332, 6613, 5799, 454, 20, 810, 12, 36, 11, 26332, 6613, 6885, 261, 4177, 21568, 12, 11108, 11, 4, 54, 4, 10878, 2222, 11257, 82, 194, 26332, 6613, 5799, 454, 20, 722, 12, 40, 11, 26332, 6613, 6885, 3598, 245, 12, 54, 711, 14, 262, 11, 4, 85, 4, 152, 8615, 9, 7527, 103, 9, 278, 7928, 7731, 36, 194, 6638, 6307, 707, 5799, 454, 20, 810, 12, 36, 11, 3133, 110, 6885, 261, 4177, 21568, 12, 11108, 11, 4, 82, 4, 403, 2523, 341, 35607, 219, 194, 6638, 6307, 707, 7, 13163, 15524, 12, 12664, 12598, 11, 5799, 454, 20, 722, 12, 40, 11, 6638, 6307, 707, 7, 13163, 15524, 12, 12664, 12598, 11, 6885, 261, 4177, 21568, 12, 11108, 11, 4, 116, 4, 261, 1236, 37757, 359, 194, 26332, 6613, 5799, 454, 20, 810, 12, 36, 11, 26332, 6613, 6885, 261, 4177, 21568, 12, 11108, 11, 4, 215, 4, 12673, 11445, 4220, 25073, 26332, 6613, 5799, 454, 20, 810, 12, 36, 11, 26332, 6613, 6885, 1421, 11156, 2940, 7, 4001, 6458, 283, 7, 20647, 12, 11, 4, 208, 4, 449, 13945, 38894, 5310, 194, 26332, 6613, 5799, 454, 20, 810, 12, 36, 11, 26332, 6613, 6885, 629, 2448, 7, 20647, 12, 11, 4, 348, 4, 5234, 38396, 32269, 35657, 434, 194, 26332, 6613, 5799, 454, 20, 1211, 26332, 6613, 6885, 31097, 12, 40, 711, 14, 262, 11, 4, 91, 4, 261, 1236, 31867, 2157, 194, 7433, 25, 9012, 169, 5799, 454, 20, 2114, 135, 2074, 2074, 4135, 222, 791, 1740, 249, 2074, 2074, 139, 873, 12, 5310, 11, 194, 10613, 34, 2710, 20, 18, 1337, 228, 25, 135, 2074, 2074, 657, 2582, 9, 36, 9, 991, 2074, 2074, 139, 4, 402, 4, 10701, 11805, 38576, 85, 194, 26332, 6613, 7, 6739, 3031, 10041, 5799, 454, 20, 810, 12, 36, 11, 26332, 6613, 7, 6739, 3031, 10041, 6885, 1873, 1061, 12, 208, 11, 866, 27, 1003, 16, 6523, 4, 198, 4, 6660, 22867, 1969, 359, 1320, 26, 1144, 6337, 28223, 7280, 5799, 454, 20, 15919, 855, 13856, 1537, 2008, 3118, 4, 465, 4, 13202, 871, 9241, 1768, 194, 26332, 6613, 5799, 454, 20, 810, 12, 36, 11, 26332, 6613, 6885, 2750, 14, 262, 20, 2336, 16815, 135, 2074, 2074, 198, 9, 1083, 2074, 2074, 139, 4, 400, 4, 11393, 19285, 466, 194, 26332, 6613, 5799, 454, 20, 810, 12, 36, 11, 26332, 6613, 6885, 261, 4177, 21568, 12, 11108, 11, 4, 274, 4, 29257, 14009, 1875, 19432, 12738, 1320, 26, 1144, 21261, 5799, 454, 20, 34, 2710, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
99,231
46698
[ 5493, 305, 10421, 20, 11507, 5317, 12, 11607, 469, 437, 76, 11, 44, 1591, 31682, 12, 2900, 7488, 21571, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 1591, 440, 5165, 12, 8920, 37792, 581, 998, 76, 11, 44, 4229, 1208, 791, 12, 24169, 36261, 205, 30746, 5, 18363, 30, 98, 533, 7, 8, 205, 30746, 5, 10366, 2155, 7867, 30, 24982, 11, 44, 440, 10044, 12, 7997, 4616, 7093, 11, 44, 7287, 1057, 2263, 12, 2768, 1631, 6158, 8, 2925, 5, 2039, 5662, 5, 1349, 5313, 11, 27730, 305, 10421, 20, 4419, 36321, 313, 2435, 6278, 33229, 12278, 20, 2930, 3670, 20, 23172, 12311, 3852, 29041, 10311, 25, 53, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 11507, 5317, 12, 11607, 469, 437, 76, 11, 44, 1591, 31682, 12, 2900, 7488, 21571, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 1591, 440, 5165, 12, 8920, 37792, 581, 998, 76, 11, 44, 4229, 1208, 791, 12, 24169, 36261, 205, 30746, 5, 18363, 30, 98, 533, 7, 8, 205, 30746, 5, 10366, 2155, 7867, 30, 24982, 11, 44, 440, 10044, 12, 7997, 4616, 7093, 11, 44, 7287, 1057, 2263, 12, 2768, 1631, 6158, 8, 2925, 5, 2039, 5662, 5, 1349, 5313, 11, 27730, 305, 10421, 20, 4419, 36321, 313, 2435, 6278, 33229, 12278, 20, 2930, 3670, 20, 23172, 12311, 3852, 29041, 10311, 25, 53, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
99,231
46698
[ 5493, 305, 10421, 20, 11507, 5317, 12, 11607, 469, 437, 76, 11, 44, 1591, 31682, 12, 2900, 7488, 21571, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 1591, 440, 5165, 12, 8920, 37792, 581, 998, 76, 11, 44, 4229, 1208, 791, 12, 24169, 36261, 205, 30746, 5, 18363, 30, 98, 533, 7, 8, 205, 30746, 5, 10366, 2155, 7867, 30, 24982, 11, 44, 440, 10044, 12, 7997, 4616, 7093, 11, 44, 7287, 1057, 2263, 12, 2768, 1631, 6158, 8, 2925, 5, 2039, 5662, 5, 1349, 5313, 11, 27730, 305, 10421, 20, 4419, 2493, 3409, 1799, 18001, 6101, 2571, 3643, 250, 36426, 20, 25254, 18713, 194, 886, 321, 3191, 24391, 466, 194, 886, 3157, 22561, 37575, 82, 194, 26332, 6613, 886, 449, 13945, 38894, 5310, 194, 26332, 6613, 5799, 454, 20, 810, 12, 36, 11, 26332, 6613, 6885, 657, 447, 26, 629, 6484, 473, 12, 287, 1002, 7, 5834, 11, 4, 10878, 2222, 11257, 1266, 194, 3598, 245, 29055, 37290, 4634, 194, 135, 2074, 2074, 18820, 846, 36, 2074, 2074, 139, 1786, 135, 2074, 2074, 36, 9, 656, 2074, 2074, 139, 19504, 37370, 82, 194, 2717, 116, 3437, 169, 13856, 3529, 2710, 4, 13545, 25674, 359, 1320, 26, 1144, 6337, 28223, 7280, 5799, 454, 20, 15919, 855, 22781, 1537, 2008, 3118, 4, 13202, 871, 9241, 1768, 194, 886, 261, 1236, 37757, 359, 194, 886, 25454, 6861, 32, 85, 194, 26332, 6613, 5799, 454, 20, 810, 12, 36, 11, 26332, 6613, 6885, 2919, 14, 262, 27, 1003, 16, 6523, 4, 388, 2953, 1111, 9139, 86, 12870, 886, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 11507, 5317, 12, 11607, 469, 437, 76, 11, 44, 1591, 31682, 12, 2900, 7488, 21571, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 1591, 440, 5165, 12, 8920, 37792, 581, 998, 76, 11, 44, 4229, 1208, 791, 12, 24169, 36261, 205, 30746, 5, 18363, 30, 98, 533, 7, 8, 205, 30746, 5, 10366, 2155, 7867, 30, 24982, 11, 44, 440, 10044, 12, 7997, 4616, 7093, 11, 44, 7287, 1057, 2263, 12, 2768, 1631, 6158, 8, 2925, 5, 2039, 5662, 5, 1349, 5313, 11, 27730, 305, 10421, 20, 4419, 2493, 3409, 1799, 18001, 6101, 2571, 3643, 250, 36426, 20, 25254, 18713, 194, 886, 321, 3191, 24391, 466, 194, 886, 3157, 22561, 37575, 82, 194, 26332, 6613, 886, 449, 13945, 38894, 5310, 194, 26332, 6613, 5799, 454, 20, 810, 12, 36, 11, 26332, 6613, 6885, 657, 447, 26, 629, 6484, 473, 12, 287, 1002, 7, 5834, 11, 4, 10878, 2222, 11257, 1266, 194, 3598, 245, 29055, 37290, 4634, 194, 135, 2074, 2074, 18820, 846, 36, 2074, 2074, 139, 1786, 135, 2074, 2074, 36, 9, 656, 2074, 2074, 139, 19504, 37370, 82, 194, 2717, 116, 3437, 169, 13856, 3529, 2710, 4, 13545, 25674, 359, 1320, 26, 1144, 6337, 28223, 7280, 5799, 454, 20, 15919, 855, 22781, 1537, 2008, 3118, 4, 13202, 871, 9241, 1768, 194, 886, 261, 1236, 37757, 359, 194, 886, 25454, 6861, 32, 85, 194, 26332, 6613, 5799, 454, 20, 810, 12, 36, 11, 26332, 6613, 6885, 2919, 14, 262, 27, 1003, 16, 6523, 4, 388, 2953, 1111, 9139, 86, 12870, 886, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
99,231
46698
[ 5493, 305, 10421, 20, 11507, 5317, 12, 11607, 469, 437, 76, 11, 44, 1591, 31682, 12, 2900, 7488, 21571, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 1591, 440, 5165, 12, 8920, 37792, 581, 998, 76, 11, 44, 4229, 1208, 791, 12, 24169, 36261, 205, 30746, 5, 18363, 30, 98, 533, 7, 8, 205, 30746, 5, 10366, 2155, 7867, 30, 24982, 11, 44, 440, 10044, 12, 7997, 4616, 7093, 11, 44, 7287, 1057, 2263, 12, 2768, 1631, 6158, 8, 2925, 5, 2039, 5662, 5, 1349, 5313, 11, 27730, 305, 10421, 20, 4419, 36321, 313, 2435, 6278, 3190, 12693, 6567, 18001, 20, 212, 17, 14, 32551, 13, 33, 396, 10, 16312, 177, 7, 286, 17277, 135, 2074, 2074, 14910, 2631, 915, 4465, 9059, 15079, 1841, 2074, 2074, 139, 4, 1015, 20337, 19, 2424, 13, 135, 2074, 2074, 18820, 846, 36, 2099, 2074, 2074, 139, 571, 5, 2723, 8, 6351, 4, 1015, 20337, 19, 648, 95, 13, 47, 14, 145, 5, 7694, 2408, 112, 1779, 3852, 15, 878, 860, 133, 112, 4, 1015, 20337, 19, 10, 6, 425, 3747, 2919, 70, 35, 2126, 4, 551, 16312, 2723, 7, 60, 214, 41, 1847, 420, 1169, 5, 234, 7, 8, 16312, 2190, 17, 2620, 29, 28511, 13, 33279, 341, 7837, 571, 16312, 136, 2899, 15613, 1678, 25, 28511, 4, 1015, 20337, 374, 2500, 23597, 31867, 25, 6, 217, 5, 16312, 2710, 7, 8, 11980, 374, 5571, 8953, 114, 25, 135, 2074, 2074, 657, 2582, 9, 36, 9, 991, 2074, 2074, 139, 4, 1015, 20337, 19, 183, 16, 1779, 3852, 15, 65, 3132, 7, 11954, 8, 18882, 4, 18726, 1717, 9464, 22, 16312, 3132, 47, 58, 2620, 20, 18726, 1717, 4192, 23597, 31867, 1786, 135, 2074, 2074, 657, 2582, 9, 36, 9, 991, 2074, 2074, 139, 52, 47, 1895, 11954, 52, 47, 1895, 18882, 52, 72, 1895, 15931, 18726, 1717, 4192, 13, 2956, 16225, 676, 35817, 18726, 1717, 4192, 13, 2956, 5398, 22689, 1786, 154, 11980, 31, 724, 10, 6, 2329, 76, 2333, 3207, 876, 12, 135, 2074, 2074, 657, 2582, 9, 36, 9, 627, 2074, 2074, 139, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 11507, 5317, 12, 11607, 469, 437, 76, 11, 44, 1591, 31682, 12, 2900, 7488, 21571, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 1591, 440, 5165, 12, 8920, 37792, 581, 998, 76, 11, 44, 4229, 1208, 791, 12, 24169, 36261, 205, 30746, 5, 18363, 30, 98, 533, 7, 8, 205, 30746, 5, 10366, 2155, 7867, 30, 24982, 11, 44, 440, 10044, 12, 7997, 4616, 7093, 11, 44, 7287, 1057, 2263, 12, 2768, 1631, 6158, 8, 2925, 5, 2039, 5662, 5, 1349, 5313, 11, 27730, 305, 10421, 20, 4419, 36321, 313, 2435, 6278, 3190, 12693, 6567, 18001, 20, 212, 17, 14, 32551, 13, 33, 396, 10, 16312, 177, 7, 286, 17277, 135, 2074, 2074, 14910, 2631, 915, 4465, 9059, 15079, 1841, 2074, 2074, 139, 4, 1015, 20337, 19, 2424, 13, 135, 2074, 2074, 18820, 846, 36, 2099, 2074, 2074, 139, 571, 5, 2723, 8, 6351, 4, 1015, 20337, 19, 648, 95, 13, 47, 14, 145, 5, 7694, 2408, 112, 1779, 3852, 15, 878, 860, 133, 112, 4, 1015, 20337, 19, 10, 6, 425, 3747, 2919, 70, 35, 2126, 4, 551, 16312, 2723, 7, 60, 214, 41, 1847, 420, 1169, 5, 234, 7, 8, 16312, 2190, 17, 2620, 29, 28511, 13, 33279, 341, 7837, 571, 16312, 136, 2899, 15613, 1678, 25, 28511, 4, 1015, 20337, 374, 2500, 23597, 31867, 25, 6, 217, 5, 16312, 2710, 7, 8, 11980, 374, 5571, 8953, 114, 25, 135, 2074, 2074, 657, 2582, 9, 36, 9, 991, 2074, 2074, 139, 4, 1015, 20337, 19, 183, 16, 1779, 3852, 15, 65, 3132, 7, 11954, 8, 18882, 4, 18726, 1717, 9464, 22, 16312, 3132, 47, 58, 2620, 20, 18726, 1717, 4192, 23597, 31867, 1786, 135, 2074, 2074, 657, 2582, 9, 36, 9, 991, 2074, 2074, 139, 52, 47, 1895, 11954, 52, 47, 1895, 18882, 52, 72, 1895, 15931, 18726, 1717, 4192, 13, 2956, 16225, 676, 35817, 18726, 1717, 4192, 13, 2956, 5398, 22689, 1786, 154, 11980, 31, 724, 10, 6, 2329, 76, 2333, 3207, 876, 12, 135, 2074, 2074, 657, 2582, 9, 36, 9, 627, 2074, 2074, 139, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
99,231
46698
[ 5493, 305, 10421, 20, 11507, 5317, 12, 11607, 469, 437, 76, 11, 44, 1591, 31682, 12, 2900, 7488, 21571, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 1591, 440, 5165, 12, 8920, 37792, 581, 998, 76, 11, 44, 4229, 1208, 791, 12, 24169, 36261, 205, 30746, 5, 18363, 30, 98, 533, 7, 8, 205, 30746, 5, 10366, 2155, 7867, 30, 24982, 11, 44, 440, 10044, 12, 7997, 4616, 7093, 11, 44, 7287, 1057, 2263, 12, 2768, 1631, 6158, 8, 2925, 5, 2039, 5662, 5, 1349, 5313, 11, 27730, 305, 10421, 20, 4419, 4079, 1015, 2807, 15592, 10452, 3332, 20, 13139, 2306, 81, 157, 20, 482, 5725, 1785, 20, 4220, 26, 2099, 1455, 20, 2365, 2681, 20, 991, 6978, 578, 34, 20, 359, 24, 1714, 21914, 2952, 3907, 20, 453, 19080, 10405, 649, 7, 10, 7153, 4703, 17772, 20, 452, 26, 68, 25751, 7, 4687, 326, 299, 3083, 473, 20, 668, 13864, 7, 491, 24075, 12414, 3038, 638, 10, 2018, 7, 102, 12122, 30, 18100, 222, 477, 28953, 3409, 2685, 20, 269, 2681, 7, 31686, 23814, 11775, 7, 102, 659, 26, 677, 26, 454, 14387, 7489, 20, 25751, 11139, 7, 1419, 36687, 7744, 20501, 2935, 5181, 25190, 20, 17949, 7, 4476, 7, 5699, 7, 51, 5759, 10452, 157, 20, 668, 31860, 15961, 7, 3237, 7, 9366, 8, 126, 3387, 5885, 7, 40, 51, 4933, 26, 3523, 6189, 6491, 1194, 6126, 915, 2540, 5265, 6458, 452, 20, 1875, 13183, 8, 5281, 1614, 54, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 11507, 5317, 12, 11607, 469, 437, 76, 11, 44, 1591, 31682, 12, 2900, 7488, 21571, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 1591, 440, 5165, 12, 8920, 37792, 581, 998, 76, 11, 44, 4229, 1208, 791, 12, 24169, 36261, 205, 30746, 5, 18363, 30, 98, 533, 7, 8, 205, 30746, 5, 10366, 2155, 7867, 30, 24982, 11, 44, 440, 10044, 12, 7997, 4616, 7093, 11, 44, 7287, 1057, 2263, 12, 2768, 1631, 6158, 8, 2925, 5, 2039, 5662, 5, 1349, 5313, 11, 27730, 305, 10421, 20, 4419, 4079, 1015, 2807, 15592, 10452, 3332, 20, 13139, 2306, 81, 157, 20, 482, 5725, 1785, 20, 4220, 26, 2099, 1455, 20, 2365, 2681, 20, 991, 6978, 578, 34, 20, 359, 24, 1714, 21914, 2952, 3907, 20, 453, 19080, 10405, 649, 7, 10, 7153, 4703, 17772, 20, 452, 26, 68, 25751, 7, 4687, 326, 299, 3083, 473, 20, 668, 13864, 7, 491, 24075, 12414, 3038, 638, 10, 2018, 7, 102, 12122, 30, 18100, 222, 477, 28953, 3409, 2685, 20, 269, 2681, 7, 31686, 23814, 11775, 7, 102, 659, 26, 677, 26, 454, 14387, 7489, 20, 25751, 11139, 7, 1419, 36687, 7744, 20501, 2935, 5181, 25190, 20, 17949, 7, 4476, 7, 5699, 7, 51, 5759, 10452, 157, 20, 668, 31860, 15961, 7, 3237, 7, 9366, 8, 126, 3387, 5885, 7, 40, 51, 4933, 26, 3523, 6189, 6491, 1194, 6126, 915, 2540, 5265, 6458, 452, 20, 1875, 13183, 8, 5281, 1614, 54, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
99,231
46698
[ 5493, 305, 10421, 20, 11507, 5317, 12, 11607, 469, 437, 76, 11, 44, 1591, 31682, 12, 2900, 7488, 21571, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 1591, 440, 5165, 12, 8920, 37792, 581, 998, 76, 11, 44, 4229, 1208, 791, 12, 24169, 36261, 205, 30746, 5, 18363, 30, 98, 533, 7, 8, 205, 30746, 5, 10366, 2155, 7867, 30, 24982, 11, 44, 440, 10044, 12, 7997, 4616, 7093, 11, 44, 7287, 1057, 2263, 12, 2768, 1631, 6158, 8, 2925, 5, 2039, 5662, 5, 1349, 5313, 11, 27730, 305, 10421, 20, 4419, 3768, 9551, 261, 20187, 33229, 8262, 20, 10634, 25, 3038, 4403, 14387, 316, 1631, 7178, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 11507, 5317, 12, 11607, 469, 437, 76, 11, 44, 1591, 31682, 12, 2900, 7488, 21571, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 1591, 440, 5165, 12, 8920, 37792, 581, 998, 76, 11, 44, 4229, 1208, 791, 12, 24169, 36261, 205, 30746, 5, 18363, 30, 98, 533, 7, 8, 205, 30746, 5, 10366, 2155, 7867, 30, 24982, 11, 44, 440, 10044, 12, 7997, 4616, 7093, 11, 44, 7287, 1057, 2263, 12, 2768, 1631, 6158, 8, 2925, 5, 2039, 5662, 5, 1349, 5313, 11, 27730, 305, 10421, 20, 4419, 3768, 9551, 261, 20187, 33229, 8262, 20, 10634, 25, 3038, 4403, 14387, 316, 1631, 7178, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
99,231
46698
[ 5493, 305, 10421, 20, 11507, 5317, 12, 11607, 469, 437, 76, 11, 44, 1591, 31682, 12, 2900, 7488, 21571, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 1591, 440, 5165, 12, 8920, 37792, 581, 998, 76, 11, 44, 4229, 1208, 791, 12, 24169, 36261, 205, 30746, 5, 18363, 30, 98, 533, 7, 8, 205, 30746, 5, 10366, 2155, 7867, 30, 24982, 11, 44, 440, 10044, 12, 7997, 4616, 7093, 11, 44, 7287, 1057, 2263, 12, 2768, 1631, 6158, 8, 2925, 5, 2039, 5662, 5, 1349, 5313, 11, 27730, 305, 10421, 20, 4419, 2550, 453, 4395, 17081, 2817, 388, 30521, 20, 23172, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 11507, 5317, 12, 11607, 469, 437, 76, 11, 44, 1591, 31682, 12, 2900, 7488, 21571, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 1591, 440, 5165, 12, 8920, 37792, 581, 998, 76, 11, 44, 4229, 1208, 791, 12, 24169, 36261, 205, 30746, 5, 18363, 30, 98, 533, 7, 8, 205, 30746, 5, 10366, 2155, 7867, 30, 24982, 11, 44, 440, 10044, 12, 7997, 4616, 7093, 11, 44, 7287, 1057, 2263, 12, 2768, 1631, 6158, 8, 2925, 5, 2039, 5662, 5, 1349, 5313, 11, 27730, 305, 10421, 20, 4419, 2550, 453, 4395, 17081, 2817, 388, 30521, 20, 23172, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
99,231
46698
[ 5493, 305, 10421, 20, 11507, 5317, 12, 11607, 469, 437, 76, 11, 44, 1591, 31682, 12, 2900, 7488, 21571, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 1591, 440, 5165, 12, 8920, 37792, 581, 998, 76, 11, 44, 4229, 1208, 791, 12, 24169, 36261, 205, 30746, 5, 18363, 30, 98, 533, 7, 8, 205, 30746, 5, 10366, 2155, 7867, 30, 24982, 11, 44, 440, 10044, 12, 7997, 4616, 7093, 11, 44, 7287, 1057, 2263, 12, 2768, 1631, 6158, 8, 2925, 5, 2039, 5662, 5, 1349, 5313, 11, 27730, 305, 10421, 20, 4419, 5641, 2047, 4024, 1341, 2568, 11415, 3768, 4476, 453, 7219, 5265, 1961, 20, 1608, 206, 421, 649, 15, 10634, 25, 3038, 15, 736, 2126, 16, 29041, 10311, 7, 2424, 13, 286, 3747, 16, 3041, 536, 7, 4721, 13, 6, 7612, 7, 31196, 13, 286, 3747, 16, 3033, 12331, 15, 269, 8715, 7, 648, 4721, 13, 6, 7612, 2750, 27402, 988, 4, 5651, 2714, 471, 15, 2723, 13, 5260, 50, 3038, 25, 135, 2074, 2074, 36, 9, 91, 2074, 2074, 139, 183, 15, 393, 5224, 194, 5, 287, 1511, 14108, 34, 407, 4828, 787, 7, 407, 12205, 34, 1266, 2865, 7, 8, 1686, 47, 265, 20309, 4898, 23, 6, 4064, 4, 5651, 17, 734, 12104, 10105, 7771, 13, 6, 2448, 4, 4, 18, 125, 1238, 12607, 126, 626, 6, 217, 947, 13, 2126, 4, 5651, 4411, 3045, 420, 190, 26, 615, 7, 7167, 7, 29964, 5, 6996, 7, 28259, 14660, 7, 10493, 6171, 3734, 14, 7, 30, 1354, 353, 4, 5651, 1238, 14, 746, 12515, 4, 5651, 844, 13402, 9872, 22, 6, 407, 4828, 787, 17, 41, 4736, 3109, 2190, 9432, 8, 17, 129, 5583, 3109, 29055, 37290, 2750, 886, 1786, 5210, 3847, 732, 14, 1023, 217, 5306, 4, 4, 916, 9464, 7, 6, 125, 17, 1154, 2424, 25, 135, 2074, 2074, 54, 9, 402, 2074, 2074, 139, 16, 29041, 15080, 2837, 20901, 8, 17, 183, 15, 29055, 37290, 16, 14, 6021, 85, 876, 912, 44, 5210, 2649, 67, 3109, 3038, 14737, 2469, 7, 665, 14, 638, 9106, 1528, 4878, 8, 648, 14, 176, 638, 17, 2377, 4, 3185, 5, 9464, 7, 5210, 57, 58, 25, 261, 1236, 37757, 16, 9760, 3789, 27, 126, 27, 273, 6626, 13103, 581, 9884, 16, 4371, 18633, 4, 4, 943, 12213, 13, 6, 2448, 7, 3109, 11058, 2306, 19, 20, 157, 482, 6737, 1785, 2465, 26, 504, 1455, 2382, 13497, 777, 2457, 24, 1714, 4, 11974, 279, 19, 1924, 46, 111, 12021, 85, 15, 208, 24, 22816, 15698, 7, 27982, 4974, 4, 10303, 401, 17, 383, 7, 1002, 26, 39, 41, 1924, 27, 22392, 21, 776, 5743, 4, 2827, 1233, 19, 5620, 4, 343, 26746, 111, 2749, 5272, 15, 30403, 16885, 4, 5651, 17, 690, 29949, 8068, 8, 17820, 457, 26, 4186, 37149, 16, 22652, 3463, 5, 32, 1913, 1169, 690, 3109, 757, 4, 39, 6712, 213, 17, 4716, 61, 6, 125, 21997, 973, 32, 29532, 17, 2377, 4, 4, 37, 6, 286, 3747, 7, 6, 125, 17, 4124, 25, 23597, 31867, 7, 18600, 11670, 13, 26444, 8, 10469, 457, 2947, 4, 13093, 6351, 3533, 15, 8068, 4, 5651, 1254, 33653, 35234, 15, 988, 3909, 1622, 4, 4, 3149, 20, 15250, 3045, 4554, 7, 3509, 163, 7, 10493, 21604, 7, 16291, 7, 28259, 14660, 7, 7167, 7, 29964, 5, 6996, 7, 2268, 353, 7, 1354, 353, 7, 6523, 7, 5927, 7, 4929, 7, 10906, 7, 5404, 230, 2787, 7, 6547, 15422, 7, 11491, 4599, 15855, 1358, 7, 10420, 7532, 1358, 7, 15262, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 11507, 5317, 12, 11607, 469, 437, 76, 11, 44, 1591, 31682, 12, 2900, 7488, 21571, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 1591, 440, 5165, 12, 8920, 37792, 581, 998, 76, 11, 44, 4229, 1208, 791, 12, 24169, 36261, 205, 30746, 5, 18363, 30, 98, 533, 7, 8, 205, 30746, 5, 10366, 2155, 7867, 30, 24982, 11, 44, 440, 10044, 12, 7997, 4616, 7093, 11, 44, 7287, 1057, 2263, 12, 2768, 1631, 6158, 8, 2925, 5, 2039, 5662, 5, 1349, 5313, 11, 27730, 305, 10421, 20, 4419, 5641, 2047, 4024, 1341, 2568, 11415, 3768, 4476, 453, 7219, 5265, 1961, 20, 1608, 206, 421, 649, 15, 10634, 25, 3038, 15, 736, 2126, 16, 29041, 10311, 7, 2424, 13, 286, 3747, 16, 3041, 536, 7, 4721, 13, 6, 7612, 7, 31196, 13, 286, 3747, 16, 3033, 12331, 15, 269, 8715, 7, 648, 4721, 13, 6, 7612, 2750, 27402, 988, 4, 5651, 2714, 471, 15, 2723, 13, 5260, 50, 3038, 25, 135, 2074, 2074, 36, 9, 91, 2074, 2074, 139, 183, 15, 393, 5224, 194, 5, 287, 1511, 14108, 34, 407, 4828, 787, 7, 407, 12205, 34, 1266, 2865, 7, 8, 1686, 47, 265, 20309, 4898, 23, 6, 4064, 4, 5651, 17, 734, 12104, 10105, 7771, 13, 6, 2448, 4, 4, 18, 125, 1238, 12607, 126, 626, 6, 217, 947, 13, 2126, 4, 5651, 4411, 3045, 420, 190, 26, 615, 7, 7167, 7, 29964, 5, 6996, 7, 28259, 14660, 7, 10493, 6171, 3734, 14, 7, 30, 1354, 353, 4, 5651, 1238, 14, 746, 12515, 4, 5651, 844, 13402, 9872, 22, 6, 407, 4828, 787, 17, 41, 4736, 3109, 2190, 9432, 8, 17, 129, 5583, 3109, 29055, 37290, 2750, 886, 1786, 5210, 3847, 732, 14, 1023, 217, 5306, 4, 4, 916, 9464, 7, 6, 125, 17, 1154, 2424, 25, 135, 2074, 2074, 54, 9, 402, 2074, 2074, 139, 16, 29041, 15080, 2837, 20901, 8, 17, 183, 15, 29055, 37290, 16, 14, 6021, 85, 876, 912, 44, 5210, 2649, 67, 3109, 3038, 14737, 2469, 7, 665, 14, 638, 9106, 1528, 4878, 8, 648, 14, 176, 638, 17, 2377, 4, 3185, 5, 9464, 7, 5210, 57, 58, 25, 261, 1236, 37757, 16, 9760, 3789, 27, 126, 27, 273, 6626, 13103, 581, 9884, 16, 4371, 18633, 4, 4, 943, 12213, 13, 6, 2448, 7, 3109, 11058, 2306, 19, 20, 157, 482, 6737, 1785, 2465, 26, 504, 1455, 2382, 13497, 777, 2457, 24, 1714, 4, 11974, 279, 19, 1924, 46, 111, 12021, 85, 15, 208, 24, 22816, 15698, 7, 27982, 4974, 4, 10303, 401, 17, 383, 7, 1002, 26, 39, 41, 1924, 27, 22392, 21, 776, 5743, 4, 2827, 1233, 19, 5620, 4, 343, 26746, 111, 2749, 5272, 15, 30403, 16885, 4, 5651, 17, 690, 29949, 8068, 8, 17820, 457, 26, 4186, 37149, 16, 22652, 3463, 5, 32, 1913, 1169, 690, 3109, 757, 4, 39, 6712, 213, 17, 4716, 61, 6, 125, 21997, 973, 32, 29532, 17, 2377, 4, 4, 37, 6, 286, 3747, 7, 6, 125, 17, 4124, 25, 23597, 31867, 7, 18600, 11670, 13, 26444, 8, 10469, 457, 2947, 4, 13093, 6351, 3533, 15, 8068, 4, 5651, 1254, 33653, 35234, 15, 988, 3909, 1622, 4, 4, 3149, 20, 15250, 3045, 4554, 7, 3509, 163, 7, 10493, 21604, 7, 16291, 7, 28259, 14660, 7, 7167, 7, 29964, 5, 6996, 7, 2268, 353, 7, 1354, 353, 7, 6523, 7, 5927, 7, 4929, 7, 10906, 7, 5404, 230, 2787, 7, 6547, 15422, 7, 11491, 4599, 15855, 1358, 7, 10420, 7532, 1358, 7, 15262, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
99,231
46698
[ 5493, 305, 10421, 20, 11507, 5317, 12, 11607, 469, 437, 76, 11, 44, 1591, 31682, 12, 2900, 7488, 21571, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 1591, 440, 5165, 12, 8920, 37792, 581, 998, 76, 11, 44, 4229, 1208, 791, 12, 24169, 36261, 205, 30746, 5, 18363, 30, 98, 533, 7, 8, 205, 30746, 5, 10366, 2155, 7867, 30, 24982, 11, 44, 440, 10044, 12, 7997, 4616, 7093, 11, 44, 7287, 1057, 2263, 12, 2768, 1631, 6158, 8, 2925, 5, 2039, 5662, 5, 1349, 5313, 11, 27730, 305, 10421, 20, 4419, 39377, 17369, 1510, 20, 25751, 8, 9879, 6915, 5, 2499, 19972, 15013, 20, 1875, 13183, 8, 8219, 5105, 11461, 20, 7518, 5, 230, 815, 15, 7909, 13, 16315, 30, 21620, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 11507, 5317, 12, 11607, 469, 437, 76, 11, 44, 1591, 31682, 12, 2900, 7488, 21571, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 1591, 440, 5165, 12, 8920, 37792, 581, 998, 76, 11, 44, 4229, 1208, 791, 12, 24169, 36261, 205, 30746, 5, 18363, 30, 98, 533, 7, 8, 205, 30746, 5, 10366, 2155, 7867, 30, 24982, 11, 44, 440, 10044, 12, 7997, 4616, 7093, 11, 44, 7287, 1057, 2263, 12, 2768, 1631, 6158, 8, 2925, 5, 2039, 5662, 5, 1349, 5313, 11, 27730, 305, 10421, 20, 4419, 39377, 17369, 1510, 20, 25751, 8, 9879, 6915, 5, 2499, 19972, 15013, 20, 1875, 13183, 8, 8219, 5105, 11461, 20, 7518, 5, 230, 815, 15, 7909, 13, 16315, 30, 21620, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
99,231
46698
[ 5493, 305, 10421, 20, 11507, 5317, 12, 11607, 469, 437, 76, 11, 44, 1591, 31682, 12, 2900, 7488, 21571, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 1591, 440, 5165, 12, 8920, 37792, 581, 998, 76, 11, 44, 4229, 1208, 791, 12, 24169, 36261, 205, 30746, 5, 18363, 30, 98, 533, 7, 8, 205, 30746, 5, 10366, 2155, 7867, 30, 24982, 11, 44, 440, 10044, 12, 7997, 4616, 7093, 11, 44, 7287, 1057, 2263, 12, 2768, 1631, 6158, 8, 2925, 5, 2039, 5662, 5, 1349, 5313, 11, 27730, 305, 10421, 20, 4419, 25060, 425, 757, 20, 81, 29041, 15080, 2837, 20901, 7, 183, 29055, 37290, 81, 10634, 244, 13, 4403, 7, 279, 26, 110, 12633, 437, 2081, 135, 2074, 2074, 13244, 26, 657, 10333, 2074, 2074, 139, 3283, 23, 31899, 8, 2081, 608, 135, 2074, 2074, 17008, 26, 657, 11683, 2074, 2074, 139, 7, 1472, 25, 3038, 81, 4403, 7, 537, 23, 19594, 135, 2074, 2074, 30760, 299, 11142, 12, 2047, 1432, 4043, 11, 2074, 2074, 139, 10, 30300, 81, 8630, 1365, 15057, 12, 4124, 25, 4123, 2222, 11257, 135, 2074, 2074, 402, 9, 82, 2074, 2074, 139, 11, 81, 16504, 2015, 1911, 135, 2074, 2074, 91, 26, 657, 11683, 2074, 2074, 139, 81, 4371, 18633, 135, 2074, 2074, 91, 26, 657, 11683, 2074, 2074, 139, 81, 2768, 9805, 26041, 135, 2074, 2074, 91, 26, 657, 11683, 2074, 2074, 139, 81, 696, 543, 5, 12598, 261, 35307, 135, 2074, 2074, 91, 26, 657, 11683, 2074, 2074, 139, 81, 30908, 1614, 34258, 1779, 3852, 81, 4676, 6450, 81, 696, 543, 5, 10428, 81, 4190, 29204, 81, 279, 26, 110, 1844, 1823, 8352, 8, 401, 7980, 1051, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 11507, 5317, 12, 11607, 469, 437, 76, 11, 44, 1591, 31682, 12, 2900, 7488, 21571, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 1591, 440, 5165, 12, 8920, 37792, 581, 998, 76, 11, 44, 4229, 1208, 791, 12, 24169, 36261, 205, 30746, 5, 18363, 30, 98, 533, 7, 8, 205, 30746, 5, 10366, 2155, 7867, 30, 24982, 11, 44, 440, 10044, 12, 7997, 4616, 7093, 11, 44, 7287, 1057, 2263, 12, 2768, 1631, 6158, 8, 2925, 5, 2039, 5662, 5, 1349, 5313, 11, 27730, 305, 10421, 20, 4419, 25060, 425, 757, 20, 81, 29041, 15080, 2837, 20901, 7, 183, 29055, 37290, 81, 10634, 244, 13, 4403, 7, 279, 26, 110, 12633, 437, 2081, 135, 2074, 2074, 13244, 26, 657, 10333, 2074, 2074, 139, 3283, 23, 31899, 8, 2081, 608, 135, 2074, 2074, 17008, 26, 657, 11683, 2074, 2074, 139, 7, 1472, 25, 3038, 81, 4403, 7, 537, 23, 19594, 135, 2074, 2074, 30760, 299, 11142, 12, 2047, 1432, 4043, 11, 2074, 2074, 139, 10, 30300, 81, 8630, 1365, 15057, 12, 4124, 25, 4123, 2222, 11257, 135, 2074, 2074, 402, 9, 82, 2074, 2074, 139, 11, 81, 16504, 2015, 1911, 135, 2074, 2074, 91, 26, 657, 11683, 2074, 2074, 139, 81, 4371, 18633, 135, 2074, 2074, 91, 26, 657, 11683, 2074, 2074, 139, 81, 2768, 9805, 26041, 135, 2074, 2074, 91, 26, 657, 11683, 2074, 2074, 139, 81, 696, 543, 5, 12598, 261, 35307, 135, 2074, 2074, 91, 26, 657, 11683, 2074, 2074, 139, 81, 30908, 1614, 34258, 1779, 3852, 81, 4676, 6450, 81, 696, 543, 5, 10428, 81, 4190, 29204, 81, 279, 26, 110, 1844, 1823, 8352, 8, 401, 7980, 1051, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
99,231
46698
[ 5493, 305, 10421, 20, 11507, 5317, 12, 11607, 469, 437, 76, 11, 44, 1591, 31682, 12, 2900, 7488, 21571, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 1591, 440, 5165, 12, 8920, 37792, 581, 998, 76, 11, 44, 4229, 1208, 791, 12, 24169, 36261, 205, 30746, 5, 18363, 30, 98, 533, 7, 8, 205, 30746, 5, 10366, 2155, 7867, 30, 24982, 11, 44, 440, 10044, 12, 7997, 4616, 7093, 11, 44, 7287, 1057, 2263, 12, 2768, 1631, 6158, 8, 2925, 5, 2039, 5662, 5, 1349, 5313, 11, 27730, 305, 10421, 20, 4419, 4009, 3650, 3907, 5641, 2047, 4024, 1341, 20, 4042, 7, 1638, 34, 135, 2074, 2074, 1794, 393, 2076, 2074, 2074, 139, 407, 4828, 787, 4, 15250, 3045, 3020, 7, 8234, 2038, 7, 8, 588, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 11507, 5317, 12, 11607, 469, 437, 76, 11, 44, 1591, 31682, 12, 2900, 7488, 21571, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 1591, 440, 5165, 12, 8920, 37792, 581, 998, 76, 11, 44, 4229, 1208, 791, 12, 24169, 36261, 205, 30746, 5, 18363, 30, 98, 533, 7, 8, 205, 30746, 5, 10366, 2155, 7867, 30, 24982, 11, 44, 440, 10044, 12, 7997, 4616, 7093, 11, 44, 7287, 1057, 2263, 12, 2768, 1631, 6158, 8, 2925, 5, 2039, 5662, 5, 1349, 5313, 11, 27730, 305, 10421, 20, 4419, 4009, 3650, 3907, 5641, 2047, 4024, 1341, 20, 4042, 7, 1638, 34, 135, 2074, 2074, 1794, 393, 2076, 2074, 2074, 139, 407, 4828, 787, 4, 15250, 3045, 3020, 7, 8234, 2038, 7, 8, 588, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
92,287
18156
[ 5493, 305, 10421, 20, 449, 6918, 1368, 12, 18758, 757, 5, 630, 6158, 11, 44, 449, 6918, 1800, 12, 18758, 757, 5, 1631, 2925, 8, 6158, 11, 44, 4740, 2646, 656, 12, 13205, 27344, 5, 98, 672, 5, 200, 2261, 11, 44, 11711, 5442, 12, 3302, 235, 22124, 8227, 11, 44, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 8738, 1641, 12, 12485, 13323, 3423, 5, 284, 205, 30746, 5, 1069, 11, 44, 3972, 5972, 12, 7039, 5612, 7147, 3633, 8, 26, 30, 19274, 11, 44, 3972, 2537, 1608, 12, 7054, 6916, 3783, 11, 44, 7287, 6332, 12, 3302, 7488, 6351, 11, 44, 17446, 4156, 12, 287, 26939, 20612, 7, 446, 7488, 11, 44, 7287, 3927, 2365, 12, 15139, 12, 814, 11, 4492, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 449, 30143, 1933, 12, 3018, 9, 323, 12, 404, 11, 119, 5, 13525, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 13619, 3791, 12, 305, 15603, 2936, 8, 5844, 5, 3794, 7, 2041, 3047, 11, 44, 430, 13965, 777, 12, 3160, 2384, 429, 608, 11, 27730, 305, 10421, 20, 4419, 28897, 3031, 1001, 20, 14407, 920, 8594, 13580, 16711, 20, 10778, 177, 449, 3272, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 449, 6918, 1368, 12, 18758, 757, 5, 630, 6158, 11, 44, 449, 6918, 1800, 12, 18758, 757, 5, 1631, 2925, 8, 6158, 11, 44, 4740, 2646, 656, 12, 13205, 27344, 5, 98, 672, 5, 200, 2261, 11, 44, 11711, 5442, 12, 3302, 235, 22124, 8227, 11, 44, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 8738, 1641, 12, 12485, 13323, 3423, 5, 284, 205, 30746, 5, 1069, 11, 44, 3972, 5972, 12, 7039, 5612, 7147, 3633, 8, 26, 30, 19274, 11, 44, 3972, 2537, 1608, 12, 7054, 6916, 3783, 11, 44, 7287, 6332, 12, 3302, 7488, 6351, 11, 44, 17446, 4156, 12, 287, 26939, 20612, 7, 446, 7488, 11, 44, 7287, 3927, 2365, 12, 15139, 12, 814, 11, 4492, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 449, 30143, 1933, 12, 3018, 9, 323, 12, 404, 11, 119, 5, 13525, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 13619, 3791, 12, 305, 15603, 2936, 8, 5844, 5, 3794, 7, 2041, 3047, 11, 44, 430, 13965, 777, 12, 3160, 2384, 429, 608, 11, 27730, 305, 10421, 20, 4419, 28897, 3031, 1001, 20, 14407, 920, 8594, 13580, 16711, 20, 10778, 177, 449, 3272, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
92,287
18156
[ 5493, 305, 10421, 20, 449, 6918, 1368, 12, 18758, 757, 5, 630, 6158, 11, 44, 449, 6918, 1800, 12, 18758, 757, 5, 1631, 2925, 8, 6158, 11, 44, 4740, 2646, 656, 12, 13205, 27344, 5, 98, 672, 5, 200, 2261, 11, 44, 11711, 5442, 12, 3302, 235, 22124, 8227, 11, 44, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 8738, 1641, 12, 12485, 13323, 3423, 5, 284, 205, 30746, 5, 1069, 11, 44, 3972, 5972, 12, 7039, 5612, 7147, 3633, 8, 26, 30, 19274, 11, 44, 3972, 2537, 1608, 12, 7054, 6916, 3783, 11, 44, 7287, 6332, 12, 3302, 7488, 6351, 11, 44, 17446, 4156, 12, 287, 26939, 20612, 7, 446, 7488, 11, 44, 7287, 3927, 2365, 12, 15139, 12, 814, 11, 4492, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 449, 30143, 1933, 12, 3018, 9, 323, 12, 404, 11, 119, 5, 13525, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 13619, 3791, 12, 305, 15603, 2936, 8, 5844, 5, 3794, 7, 2041, 3047, 11, 44, 430, 13965, 777, 12, 3160, 2384, 429, 608, 11, 27730, 305, 10421, 20, 4419, 14257, 1794, 30328, 20, 1870, 206, 421, 513, 15, 14, 1694, 425, 757, 5, 2384, 8749, 429, 608, 12, 1337, 4395, 1368, 9, 504, 24, 11, 7, 1779, 3852, 25, 16225, 676, 35817, 7, 1668, 3360, 2936, 809, 13, 3520, 7, 308, 200, 5313, 19351, 6057, 12, 736, 2126, 16, 24173, 25, 135, 2074, 2074, 657, 13901, 9, 116, 9, 400, 2074, 2074, 139, 11, 7, 757, 5, 630, 12735, 507, 8, 1779, 7178, 149, 471, 29, 2333, 15, 15, 14, 99, 19274, 7, 951, 3112, 7, 8, 293, 889, 448, 4, 11084, 4, 15769, 37595, 2400, 2630, 26822, 20, 21941, 2284, 17, 663, 24631, 4890, 19274, 10, 6, 1605, 5, 222, 9, 2961, 13140, 119, 8, 263, 1475, 1150, 5, 1063, 4, 2974, 67, 4124, 613, 18305, 7, 3762, 188, 2375, 8, 2914, 77, 392, 4, 4201, 471, 15, 6351, 8, 5272, 4, 2974, 72, 471, 15, 293, 889, 448, 7, 951, 3112, 7, 7006, 2437, 5, 1063, 188, 48, 36, 7, 141, 1434, 1063, 7, 8, 951, 3373, 8, 24370, 93, 800, 24631, 4890, 19274, 27, 6, 3081, 4, 1436, 10, 6, 286, 3747, 2391, 1063, 17, 3847, 15, 175, 2226, 8, 2391, 1434, 8, 246, 1063, 23987, 5520, 4, 10188, 2391, 1063, 17, 23987, 5200, 16963, 3878, 17, 4721, 13, 6, 1512, 7612, 4, 5678, 4584, 37510, 17, 5488, 8, 648, 11355, 1162, 2159, 25, 135, 2074, 2074, 208, 9, 215, 2074, 2074, 139, 25, 32, 1873, 98, 262, 4736, 6469, 7, 8, 3878, 282, 389, 160, 15, 2391, 9760, 16, 3022, 11564, 848, 4, 11084, 38553, 35801, 36426, 26, 287, 2008, 15769, 28953, 34186, 81, 9744, 2714, 7364, 16, 28015, 26, 3041, 571, 5, 25707, 25, 2126, 7, 8, 416, 1169, 5, 234, 475, 24173, 29, 308, 1631, 19351, 5514, 4, 10303, 401, 7, 9784, 7, 136, 1233, 19, 93, 383, 16, 1622, 5, 234, 4, 4201, 214, 41, 47, 2723, 5, 984, 1622, 5, 234, 4, 14722, 3878, 3305, 984, 548, 133, 398, 863, 15, 14, 416, 1169, 4, 4201, 17, 4124, 25, 8129, 8, 446, 1344, 19528, 15060, 4, 943, 1905, 9, 536, 3878, 1254, 33653, 35234, 15, 102, 23447, 367, 2762, 16, 3041, 4, 5678, 8129, 8, 446, 13064, 17, 9669, 8, 5318, 22492, 17, 6700, 25, 336, 2391, 647, 1797, 4724, 4, 8630, 1365, 15057, 17, 663, 14, 550, 5, 1314, 604, 3285, 10, 6, 1605, 5, 1908, 19136, 8, 2375, 2664, 27, 1316, 7, 15, 14, 1385, 5272, 4, 5234, 38396, 7, 11954, 7, 8, 15313, 19, 5488, 16, 6351, 61, 11355, 1162, 2159, 27, 2391, 4138, 3900, 732, 4, 4201, 17, 2752, 25, 34901, 8, 17, 41, 380, 13, 47, 420, 1779, 3852, 15, 269, 8715, 4, 158, 7, 3878, 67, 2901, 2749, 5272, 13, 6, 5507, 9, 2143, 36597, 70, 614, 162, 4, 56, 17, 663, 571, 2391, 1824, 3132, 19, 5488, 7, 8, 2391, 5272, 590, 1035, 11355, 1162, 1357, 11954, 7, 18882, 7, 8, 15313, 34, 2391, 1824, 911, 4, 12509, 37510, 17, 11355, 1162, 2159, 25, 32, 1873, 98, 262, 4736, 6469, 4, 11084, 4, 2400, 4628, 3907, 6156, 230, 4628, 7219, 13249, 20, 3160, 2972, 4, 943, 16225, 676, 35817, 7, 18882, 7, 19863, 1548, 1516, 11444, 7, 8, 11954, 34, 1824, 4, 37, 6, 286, 3747, 7, 3878, 2781, 13801, 13709, 12, 578, 3119, 10, 4613, 279, 7, 41, 2950, 37385, 11, 973, 2391, 18882, 8, 15313, 19, 239, 10, 228, 4, 7892, 2158, 1344, 790, 24927, 13, 7612, 7, 136, 314, 17, 988, 50, 37251, 820, 1824, 2523, 1528, 6813, 8, 18882, 17, 3322, 22330, 1192, 10, 1605, 5, 5272, 7, 970, 15, 18156, 15, 3523, 4, 4201, 282, 389, 160, 15, 2391, 9760, 1040, 10034, 5, 2391, 134, 115, 4, 5678, 16815, 17, 734, 520, 7, 973, 2391, 8257, 17, 88, 13, 393, 194, 4, 12673, 11445, 17, 2947, 8, 166, 17, 41, 2155, 4, 11084, 4, 2768, 889, 448, 20, 6355, 803, 9017, 968, 437, 8, 132, 13, 21170, 10, 6, 1605, 5, 26099, 987, 10792, 4, 3373, 590, 15, 10256, 4584, 37510, 8, 511, 5, 8068, 4, 5678, 7777, 8, 24370, 19, 23987, 5520, 8, 2391, 7777, 23987, 5520, 17871, 15, 1224, 5155, 4, 11084, 4, 2047, 388, 12278, 261, 2952, 6533, 3598, 3598, 283, 28549, 2818, 250, 2807, 230, 7044, 4706, 19371, 4263, 2818, 24652, 4773, 7219, 715, 4074, 3598, 283, 20, 1436, 10, 6, 286, 3747, 3878, 214, 41, 6856, 14, 2723, 30, 1536, 1908, 13170, 5357, 23, 14226, 30, 256, 5, 515, 4, 5678, 25707, 5771, 4, 18, 1647, 17, 661, 13, 10609, 21139, 25, 2391, 3623, 228, 5, 5318, 22492, 523, 341, 7513, 389, 9, 160, 15, 2391, 647, 2611, 4, 11084, 4, 3650, 13497, 5515, 12278, 20, 56, 21, 14, 227, 22, 21, 1638, 1332, 3623, 15095, 4, 4201, 214, 41, 1536, 1124, 6916, 4890, 8, 35, 17, 41, 663, 132, 13, 6, 3081, 5, 2391, 19274, 4, 4201, 4411, 3045, 1069, 2913, 8, 21, 24902, 2436, 25, 1332, 14, 284, 1306 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5493, 305, 10421, 20, 449, 6918, 1368, 12, 18758, 757, 5, 630, 6158, 11, 44, 449, 6918, 1800, 12, 18758, 757, 5, 1631, 2925, 8, 6158, 11, 44, 4740, 2646, 656, 12, 13205, 27344, 5, 98, 672, 5, 200, 2261, 11, 44, 11711, 5442, 12, 3302, 235, 22124, 8227, 11, 44, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 8738, 1641, 12, 12485, 13323, 3423, 5, 284, 205, 30746, 5, 1069, 11, 44, 3972, 5972, 12, 7039, 5612, 7147, 3633, 8, 26, 30, 19274, 11, 44, 3972, 2537, 1608, 12, 7054, 6916, 3783, 11, 44, 7287, 6332, 12, 3302, 7488, 6351, 11, 44, 17446, 4156, 12, 287, 26939, 20612, 7, 446, 7488, 11, 44, 7287, 3927, 2365, 12, 15139, 12, 814, 11, 4492, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 449, 30143, 1933, 12, 3018, 9, 323, 12, 404, 11, 119, 5, 13525, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 13619, 3791, 12, 305, 15603, 2936, 8, 5844, 5, 3794, 7, 2041, 3047, 11, 44, 430, 13965, 777, 12, 3160, 2384, 429, 608, 11, 27730, 305, 10421, 20, 4419, 14257, 1794, 30328, 20, 1870, 206, 421, 513, 15, 14, 1694, 425, 757, 5, 2384, 8749, 429, 608, 12, 1337, 4395, 1368, 9, 504, 24, 11, 7, 1779, 3852, 25, 16225, 676, 35817, 7, 1668, 3360, 2936, 809, 13, 3520, 7, 308, 200, 5313, 19351, 6057, 12, 736, 2126, 16, 24173, 25, 135, 2074, 2074, 657, 13901, 9, 116, 9, 400, 2074, 2074, 139, 11, 7, 757, 5, 630, 12735, 507, 8, 1779, 7178, 149, 471, 29, 2333, 15, 15, 14, 99, 19274, 7, 951, 3112, 7, 8, 293, 889, 448, 4, 11084, 4, 15769, 37595, 2400, 2630, 26822, 20, 21941, 2284, 17, 663, 24631, 4890, 19274, 10, 6, 1605, 5, 222, 9, 2961, 13140, 119, 8, 263, 1475, 1150, 5, 1063, 4, 2974, 67, 4124, 613, 18305, 7, 3762, 188, 2375, 8, 2914, 77, 392, 4, 4201, 471, 15, 6351, 8, 5272, 4, 2974, 72, 471, 15, 293, 889, 448, 7, 951, 3112, 7, 7006, 2437, 5, 1063, 188, 48, 36, 7, 141, 1434, 1063, 7, 8, 951, 3373, 8, 24370, 93, 800, 24631, 4890, 19274, 27, 6, 3081, 4, 1436, 10, 6, 286, 3747, 2391, 1063, 17, 3847, 15, 175, 2226, 8, 2391, 1434, 8, 246, 1063, 23987, 5520, 4, 10188, 2391, 1063, 17, 23987, 5200, 16963, 3878, 17, 4721, 13, 6, 1512, 7612, 4, 5678, 4584, 37510, 17, 5488, 8, 648, 11355, 1162, 2159, 25, 135, 2074, 2074, 208, 9, 215, 2074, 2074, 139, 25, 32, 1873, 98, 262, 4736, 6469, 7, 8, 3878, 282, 389, 160, 15, 2391, 9760, 16, 3022, 11564, 848, 4, 11084, 38553, 35801, 36426, 26, 287, 2008, 15769, 28953, 34186, 81, 9744, 2714, 7364, 16, 28015, 26, 3041, 571, 5, 25707, 25, 2126, 7, 8, 416, 1169, 5, 234, 475, 24173, 29, 308, 1631, 19351, 5514, 4, 10303, 401, 7, 9784, 7, 136, 1233, 19, 93, 383, 16, 1622, 5, 234, 4, 4201, 214, 41, 47, 2723, 5, 984, 1622, 5, 234, 4, 14722, 3878, 3305, 984, 548, 133, 398, 863, 15, 14, 416, 1169, 4, 4201, 17, 4124, 25, 8129, 8, 446, 1344, 19528, 15060, 4, 943, 1905, 9, 536, 3878, 1254, 33653, 35234, 15, 102, 23447, 367, 2762, 16, 3041, 4, 5678, 8129, 8, 446, 13064, 17, 9669, 8, 5318, 22492, 17, 6700, 25, 336, 2391, 647, 1797, 4724, 4, 8630, 1365, 15057, 17, 663, 14, 550, 5, 1314, 604, 3285, 10, 6, 1605, 5, 1908, 19136, 8, 2375, 2664, 27, 1316, 7, 15, 14, 1385, 5272, 4, 5234, 38396, 7, 11954, 7, 8, 15313, 19, 5488, 16, 6351, 61, 11355, 1162, 2159, 27, 2391, 4138, 3900, 732, 4, 4201, 17, 2752, 25, 34901, 8, 17, 41, 380, 13, 47, 420, 1779, 3852, 15, 269, 8715, 4, 158, 7, 3878, 67, 2901, 2749, 5272, 13, 6, 5507, 9, 2143, 36597, 70, 614, 162, 4, 56, 17, 663, 571, 2391, 1824, 3132, 19, 5488, 7, 8, 2391, 5272, 590, 1035, 11355, 1162, 1357, 11954, 7, 18882, 7, 8, 15313, 34, 2391, 1824, 911, 4, 12509, 37510, 17, 11355, 1162, 2159, 25, 32, 1873, 98, 262, 4736, 6469, 4, 11084, 4, 2400, 4628, 3907, 6156, 230, 4628, 7219, 13249, 20, 3160, 2972, 4, 943, 16225, 676, 35817, 7, 18882, 7, 19863, 1548, 1516, 11444, 7, 8, 11954, 34, 1824, 4, 37, 6, 286, 3747, 7, 3878, 2781, 13801, 13709, 12, 578, 3119, 10, 4613, 279, 7, 41, 2950, 37385, 11, 973, 2391, 18882, 8, 15313, 19, 239, 10, 228, 4, 7892, 2158, 1344, 790, 24927, 13, 7612, 7, 136, 314, 17, 988, 50, 37251, 820, 1824, 2523, 1528, 6813, 8, 18882, 17, 3322, 22330, 1192, 10, 1605, 5, 5272, 7, 970, 15, 18156, 15, 3523, 4, 4201, 282, 389, 160, 15, 2391, 9760, 1040, 10034, 5, 2391, 134, 115, 4, 5678, 16815, 17, 734, 520, 7, 973, 2391, 8257, 17, 88, 13, 393, 194, 4, 12673, 11445, 17, 2947, 8, 166, 17, 41, 2155, 4, 11084, 4, 2768, 889, 448, 20, 6355, 803, 9017, 968, 437, 8, 132, 13, 21170, 10, 6, 1605, 5, 26099, 987, 10792, 4, 3373, 590, 15, 10256, 4584, 37510, 8, 511, 5, 8068, 4, 5678, 7777, 8, 24370, 19, 23987, 5520, 8, 2391, 7777, 23987, 5520, 17871, 15, 1224, 5155, 4, 11084, 4, 2047, 388, 12278, 261, 2952, 6533, 3598, 3598, 283, 28549, 2818, 250, 2807, 230, 7044, 4706, 19371, 4263, 2818, 24652, 4773, 7219, 715, 4074, 3598, 283, 20, 1436, 10, 6, 286, 3747, 3878, 214, 41, 6856, 14, 2723, 30, 1536, 1908, 13170, 5357, 23, 14226, 30, 256, 5, 515, 4, 5678, 25707, 5771, 4, 18, 1647, 17, 661, 13, 10609, 21139, 25, 2391, 3623, 228, 5, 5318, 22492, 523, 341, 7513, 389, 9, 160, 15, 2391, 647, 2611, 4, 11084, 4, 3650, 13497, 5515, 12278, 20, 56, 21, 14, 227, 22, 21, 1638, 1332, 3623, 15095, 4, 4201, 214, 41, 1536, 1124, 6916, 4890, 8, 35, 17, 41, 663, 132, 13, 6, 3081, 5, 2391, 19274, 4, 4201, 4411, 3045, 1069, 2913, 8, 21, 24902, 2436, 25, 1332, 14, 284, 1306 ]
92,287
18156
[ 5, 984, 1622, 5, 234, 4, 14722, 3878, 3305, 984, 548, 133, 398, 863, 15, 14, 416, 1169, 4, 4201, 17, 4124, 25, 8129, 8, 446, 1344, 19528, 15060, 4, 943, 1905, 9, 536, 3878, 1254, 33653, 35234, 15, 102, 23447, 367, 2762, 16, 3041, 4, 5678, 8129, 8, 446, 13064, 17, 9669, 8, 5318, 22492, 17, 6700, 25, 336, 2391, 647, 1797, 4724, 4, 8630, 1365, 15057, 17, 663, 14, 550, 5, 1314, 604, 3285, 10, 6, 1605, 5, 1908, 19136, 8, 2375, 2664, 27, 1316, 7, 15, 14, 1385, 5272, 4, 5234, 38396, 7, 11954, 7, 8, 15313, 19, 5488, 16, 6351, 61, 11355, 1162, 2159, 27, 2391, 4138, 3900, 732, 4, 4201, 17, 2752, 25, 34901, 8, 17, 41, 380, 13, 47, 420, 1779, 3852, 15, 269, 8715, 4, 158, 7, 3878, 67, 2901, 2749, 5272, 13, 6, 5507, 9, 2143, 36597, 70, 614, 162, 4, 56, 17, 663, 571, 2391, 1824, 3132, 19, 5488, 7, 8, 2391, 5272, 590, 1035, 11355, 1162, 1357, 11954, 7, 18882, 7, 8, 15313, 34, 2391, 1824, 911, 4, 12509, 37510, 17, 11355, 1162, 2159, 25, 32, 1873, 98, 262, 4736, 6469, 4, 11084, 4, 2400, 4628, 3907, 6156, 230, 4628, 7219, 13249, 20, 3160, 2972, 4, 943, 16225, 676, 35817, 7, 18882, 7, 19863, 1548, 1516, 11444, 7, 8, 11954, 34, 1824, 4, 37, 6, 286, 3747, 7, 3878, 2781, 13801, 13709, 12, 578, 3119, 10, 4613, 279, 7, 41, 2950, 37385, 11, 973, 2391, 18882, 8, 15313, 19, 239, 10, 228, 4, 7892, 2158, 1344, 790, 24927, 13, 7612, 7, 136, 314, 17, 988, 50, 37251, 820, 1824, 2523, 1528, 6813, 8, 18882, 17, 3322, 22330, 1192, 10, 1605, 5, 5272, 7, 970, 15, 18156, 15, 3523, 4, 4201, 282, 389, 160, 15, 2391, 9760, 1040, 10034, 5, 2391, 134, 115, 4, 5678, 16815, 17, 734, 520, 7, 973, 2391, 8257, 17, 88, 13, 393, 194, 4, 12673, 11445, 17, 2947, 8, 166, 17, 41, 2155, 4, 11084, 4, 2768, 889, 448, 20, 6355, 803, 9017, 968, 437, 8, 132, 13, 21170, 10, 6, 1605, 5, 26099, 987, 10792, 4, 3373, 590, 15, 10256, 4584, 37510, 8, 511, 5, 8068, 4, 5678, 7777, 8, 24370, 19, 23987, 5520, 8, 2391, 7777, 23987, 5520, 17871, 15, 1224, 5155, 4, 11084, 4, 2047, 388, 12278, 261, 2952, 6533, 3598, 3598, 283, 28549, 2818, 250, 2807, 230, 7044, 4706, 19371, 4263, 2818, 24652, 4773, 7219, 715, 4074, 3598, 283, 20, 1436, 10, 6, 286, 3747, 3878, 214, 41, 6856, 14, 2723, 30, 1536, 1908, 13170, 5357, 23, 14226, 30, 256, 5, 515, 4, 5678, 25707, 5771, 4, 18, 1647, 17, 661, 13, 10609, 21139, 25, 2391, 3623, 228, 5, 5318, 22492, 523, 341, 7513, 389, 9, 160, 15, 2391, 647, 2611, 4, 11084, 4, 3650, 13497, 5515, 12278, 20, 56, 21, 14, 227, 22, 21, 1638, 1332, 3623, 15095, 4, 4201, 214, 41, 1536, 1124, 6916, 4890, 8, 35, 17, 41, 663, 132, 13, 6, 3081, 5, 2391, 19274, 4, 4201, 4411, 3045, 1069, 2913, 8, 21, 24902, 2436, 25, 1332, 14, 284, 1306, 13, 345, 2485, 2391, 284, 76, 4, 5678, 284, 164, 17, 2752, 247, 10, 6, 286, 3747, 8, 1254, 988, 7, 8, 102, 345, 385, 5, 2391, 416, 3520, 17, 178, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 984, 1622, 5, 234, 4, 14722, 3878, 3305, 984, 548, 133, 398, 863, 15, 14, 416, 1169, 4, 4201, 17, 4124, 25, 8129, 8, 446, 1344, 19528, 15060, 4, 943, 1905, 9, 536, 3878, 1254, 33653, 35234, 15, 102, 23447, 367, 2762, 16, 3041, 4, 5678, 8129, 8, 446, 13064, 17, 9669, 8, 5318, 22492, 17, 6700, 25, 336, 2391, 647, 1797, 4724, 4, 8630, 1365, 15057, 17, 663, 14, 550, 5, 1314, 604, 3285, 10, 6, 1605, 5, 1908, 19136, 8, 2375, 2664, 27, 1316, 7, 15, 14, 1385, 5272, 4, 5234, 38396, 7, 11954, 7, 8, 15313, 19, 5488, 16, 6351, 61, 11355, 1162, 2159, 27, 2391, 4138, 3900, 732, 4, 4201, 17, 2752, 25, 34901, 8, 17, 41, 380, 13, 47, 420, 1779, 3852, 15, 269, 8715, 4, 158, 7, 3878, 67, 2901, 2749, 5272, 13, 6, 5507, 9, 2143, 36597, 70, 614, 162, 4, 56, 17, 663, 571, 2391, 1824, 3132, 19, 5488, 7, 8, 2391, 5272, 590, 1035, 11355, 1162, 1357, 11954, 7, 18882, 7, 8, 15313, 34, 2391, 1824, 911, 4, 12509, 37510, 17, 11355, 1162, 2159, 25, 32, 1873, 98, 262, 4736, 6469, 4, 11084, 4, 2400, 4628, 3907, 6156, 230, 4628, 7219, 13249, 20, 3160, 2972, 4, 943, 16225, 676, 35817, 7, 18882, 7, 19863, 1548, 1516, 11444, 7, 8, 11954, 34, 1824, 4, 37, 6, 286, 3747, 7, 3878, 2781, 13801, 13709, 12, 578, 3119, 10, 4613, 279, 7, 41, 2950, 37385, 11, 973, 2391, 18882, 8, 15313, 19, 239, 10, 228, 4, 7892, 2158, 1344, 790, 24927, 13, 7612, 7, 136, 314, 17, 988, 50, 37251, 820, 1824, 2523, 1528, 6813, 8, 18882, 17, 3322, 22330, 1192, 10, 1605, 5, 5272, 7, 970, 15, 18156, 15, 3523, 4, 4201, 282, 389, 160, 15, 2391, 9760, 1040, 10034, 5, 2391, 134, 115, 4, 5678, 16815, 17, 734, 520, 7, 973, 2391, 8257, 17, 88, 13, 393, 194, 4, 12673, 11445, 17, 2947, 8, 166, 17, 41, 2155, 4, 11084, 4, 2768, 889, 448, 20, 6355, 803, 9017, 968, 437, 8, 132, 13, 21170, 10, 6, 1605, 5, 26099, 987, 10792, 4, 3373, 590, 15, 10256, 4584, 37510, 8, 511, 5, 8068, 4, 5678, 7777, 8, 24370, 19, 23987, 5520, 8, 2391, 7777, 23987, 5520, 17871, 15, 1224, 5155, 4, 11084, 4, 2047, 388, 12278, 261, 2952, 6533, 3598, 3598, 283, 28549, 2818, 250, 2807, 230, 7044, 4706, 19371, 4263, 2818, 24652, 4773, 7219, 715, 4074, 3598, 283, 20, 1436, 10, 6, 286, 3747, 3878, 214, 41, 6856, 14, 2723, 30, 1536, 1908, 13170, 5357, 23, 14226, 30, 256, 5, 515, 4, 5678, 25707, 5771, 4, 18, 1647, 17, 661, 13, 10609, 21139, 25, 2391, 3623, 228, 5, 5318, 22492, 523, 341, 7513, 389, 9, 160, 15, 2391, 647, 2611, 4, 11084, 4, 3650, 13497, 5515, 12278, 20, 56, 21, 14, 227, 22, 21, 1638, 1332, 3623, 15095, 4, 4201, 214, 41, 1536, 1124, 6916, 4890, 8, 35, 17, 41, 663, 132, 13, 6, 3081, 5, 2391, 19274, 4, 4201, 4411, 3045, 1069, 2913, 8, 21, 24902, 2436, 25, 1332, 14, 284, 1306, 13, 345, 2485, 2391, 284, 76, 4, 5678, 284, 164, 17, 2752, 247, 10, 6, 286, 3747, 8, 1254, 988, 7, 8, 102, 345, 385, 5, 2391, 416, 3520, 17, 178, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
92,287
18156
[ 5493, 305, 10421, 20, 449, 6918, 1368, 12, 18758, 757, 5, 630, 6158, 11, 44, 449, 6918, 1800, 12, 18758, 757, 5, 1631, 2925, 8, 6158, 11, 44, 4740, 2646, 656, 12, 13205, 27344, 5, 98, 672, 5, 200, 2261, 11, 44, 11711, 5442, 12, 3302, 235, 22124, 8227, 11, 44, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 8738, 1641, 12, 12485, 13323, 3423, 5, 284, 205, 30746, 5, 1069, 11, 44, 3972, 5972, 12, 7039, 5612, 7147, 3633, 8, 26, 30, 19274, 11, 44, 3972, 2537, 1608, 12, 7054, 6916, 3783, 11, 44, 7287, 6332, 12, 3302, 7488, 6351, 11, 44, 17446, 4156, 12, 287, 26939, 20612, 7, 446, 7488, 11, 44, 7287, 3927, 2365, 12, 15139, 12, 814, 11, 4492, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 449, 30143, 1933, 12, 3018, 9, 323, 12, 404, 11, 119, 5, 13525, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 13619, 3791, 12, 305, 15603, 2936, 8, 5844, 5, 3794, 7, 2041, 3047, 11, 44, 430, 13965, 777, 12, 3160, 2384, 429, 608, 11, 27730, 305, 10421, 20, 4419, 7728, 3673, 30, 15031, 27730, 20, 4419, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 449, 6918, 1368, 12, 18758, 757, 5, 630, 6158, 11, 44, 449, 6918, 1800, 12, 18758, 757, 5, 1631, 2925, 8, 6158, 11, 44, 4740, 2646, 656, 12, 13205, 27344, 5, 98, 672, 5, 200, 2261, 11, 44, 11711, 5442, 12, 3302, 235, 22124, 8227, 11, 44, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 8738, 1641, 12, 12485, 13323, 3423, 5, 284, 205, 30746, 5, 1069, 11, 44, 3972, 5972, 12, 7039, 5612, 7147, 3633, 8, 26, 30, 19274, 11, 44, 3972, 2537, 1608, 12, 7054, 6916, 3783, 11, 44, 7287, 6332, 12, 3302, 7488, 6351, 11, 44, 17446, 4156, 12, 287, 26939, 20612, 7, 446, 7488, 11, 44, 7287, 3927, 2365, 12, 15139, 12, 814, 11, 4492, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 449, 30143, 1933, 12, 3018, 9, 323, 12, 404, 11, 119, 5, 13525, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 13619, 3791, 12, 305, 15603, 2936, 8, 5844, 5, 3794, 7, 2041, 3047, 11, 44, 430, 13965, 777, 12, 3160, 2384, 429, 608, 11, 27730, 305, 10421, 20, 4419, 7728, 3673, 30, 15031, 27730, 20, 4419, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
92,287
18156
[ 5493, 305, 10421, 20, 449, 6918, 1368, 12, 18758, 757, 5, 630, 6158, 11, 44, 449, 6918, 1800, 12, 18758, 757, 5, 1631, 2925, 8, 6158, 11, 44, 4740, 2646, 656, 12, 13205, 27344, 5, 98, 672, 5, 200, 2261, 11, 44, 11711, 5442, 12, 3302, 235, 22124, 8227, 11, 44, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 8738, 1641, 12, 12485, 13323, 3423, 5, 284, 205, 30746, 5, 1069, 11, 44, 3972, 5972, 12, 7039, 5612, 7147, 3633, 8, 26, 30, 19274, 11, 44, 3972, 2537, 1608, 12, 7054, 6916, 3783, 11, 44, 7287, 6332, 12, 3302, 7488, 6351, 11, 44, 17446, 4156, 12, 287, 26939, 20612, 7, 446, 7488, 11, 44, 7287, 3927, 2365, 12, 15139, 12, 814, 11, 4492, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 449, 30143, 1933, 12, 3018, 9, 323, 12, 404, 11, 119, 5, 13525, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 13619, 3791, 12, 305, 15603, 2936, 8, 5844, 5, 3794, 7, 2041, 3047, 11, 44, 430, 13965, 777, 12, 3160, 2384, 429, 608, 11, 27730, 305, 10421, 20, 4419, 28897, 20350, 4036, 20, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 449, 6918, 1368, 12, 18758, 757, 5, 630, 6158, 11, 44, 449, 6918, 1800, 12, 18758, 757, 5, 1631, 2925, 8, 6158, 11, 44, 4740, 2646, 656, 12, 13205, 27344, 5, 98, 672, 5, 200, 2261, 11, 44, 11711, 5442, 12, 3302, 235, 22124, 8227, 11, 44, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 8738, 1641, 12, 12485, 13323, 3423, 5, 284, 205, 30746, 5, 1069, 11, 44, 3972, 5972, 12, 7039, 5612, 7147, 3633, 8, 26, 30, 19274, 11, 44, 3972, 2537, 1608, 12, 7054, 6916, 3783, 11, 44, 7287, 6332, 12, 3302, 7488, 6351, 11, 44, 17446, 4156, 12, 287, 26939, 20612, 7, 446, 7488, 11, 44, 7287, 3927, 2365, 12, 15139, 12, 814, 11, 4492, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 449, 30143, 1933, 12, 3018, 9, 323, 12, 404, 11, 119, 5, 13525, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 13619, 3791, 12, 305, 15603, 2936, 8, 5844, 5, 3794, 7, 2041, 3047, 11, 44, 430, 13965, 777, 12, 3160, 2384, 429, 608, 11, 27730, 305, 10421, 20, 4419, 28897, 20350, 4036, 20, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
92,287
18156
[ 5493, 305, 10421, 20, 449, 6918, 1368, 12, 18758, 757, 5, 630, 6158, 11, 44, 449, 6918, 1800, 12, 18758, 757, 5, 1631, 2925, 8, 6158, 11, 44, 4740, 2646, 656, 12, 13205, 27344, 5, 98, 672, 5, 200, 2261, 11, 44, 11711, 5442, 12, 3302, 235, 22124, 8227, 11, 44, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 8738, 1641, 12, 12485, 13323, 3423, 5, 284, 205, 30746, 5, 1069, 11, 44, 3972, 5972, 12, 7039, 5612, 7147, 3633, 8, 26, 30, 19274, 11, 44, 3972, 2537, 1608, 12, 7054, 6916, 3783, 11, 44, 7287, 6332, 12, 3302, 7488, 6351, 11, 44, 17446, 4156, 12, 287, 26939, 20612, 7, 446, 7488, 11, 44, 7287, 3927, 2365, 12, 15139, 12, 814, 11, 4492, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 449, 30143, 1933, 12, 3018, 9, 323, 12, 404, 11, 119, 5, 13525, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 13619, 3791, 12, 305, 15603, 2936, 8, 5844, 5, 3794, 7, 2041, 3047, 11, 44, 430, 13965, 777, 12, 3160, 2384, 429, 608, 11, 27730, 305, 10421, 20, 4419, 3246, 38086, 605, 20, 4263, 4289, 14622, 20, 10303, 401, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 81, 5098, 558, 4263, 11415, 250, 36426, 20, 18, 3800, 31, 1588, 4, 668, 4382, 6974, 7, 630, 3237, 30, 12837, 21, 143, 4, 13930, 6439, 17921, 21, 3470, 4, 21111, 14869, 26, 321, 2400, 354, 20, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 230, 5783, 10097, 305, 9504, 11156, 18215, 447, 40, 81, 102, 179, 13, 2010, 50, 82, 217, 4, 2571, 27530, 237, 28083, 20, 135, 2074, 2074, 657, 13901, 9, 208, 9, 40, 2074, 2074, 139, 8368, 20, 2127, 3417, 230, 5783, 10097, 12021, 9, 18770, 2074, 7074, 9, 1057, 1205, 2074, 15850, 787, 9, 9685, 2074, 313, 23487, 9, 29358, 2074, 27484, 9, 2465, 25159, 9, 34484, 286, 21765, 9, 32839, 29215, 9, 16644, 2074, 4752, 527, 305, 527, 9, 24096, 135, 2074, 2074, 657, 13901, 9, 208, 9, 40, 2074, 2074, 139, 8368, 20, 2127, 3417, 230, 5783, 10097, 11766, 1456, 9, 2465, 2074, 230, 13754, 9, 583, 10584, 279, 9, 82, 2074, 4227, 2842, 9, 36, 2074, 343, 2842, 9, 36, 16727, 399, 9, 583, 388, 11877, 279, 9, 583, 5234, 27, 9, 583, 16028, 2842, 9, 583, 135, 2074, 2074, 657, 13901, 9, 208, 9, 40, 2074, 2074, 139, 8368, 20, 2127, 3417, 230, 5783, 10097, 7054, 1407, 677, 9, 299, 4024, 286, 3907, 1955, 16010, 873, 9, 299, 4024, 286, 3907, 8306, 9375, 19990, 9, 299, 4024, 286, 3907, 14181, 25770, 9, 36, 51, 2736, 25770, 9, 299, 4024, 286, 3907, 4128, 1407, 677, 9, 299, 4024, 286, 3907, 135, 2074, 2074, 657, 13901, 9, 208, 9, 40, 2074, 2074, 139, 198, 20, 3536, 3417, 230, 5783, 10097, 3523, 9, 18487, 2074, 16815, 12, 3523, 11, 185, 1641, 2074, 135, 2074, 2074, 657, 13901, 9, 208, 9, 40, 2074, 2074, 139, 8368, 20, 2127, 3417, 230, 5783, 10097, 16432, 806, 190, 9, 504, 2074, 9261, 34, 9, 4311, 2074, 11084, 1491, 9, 2382, 2074, 473, 9, 5174, 2989, 9, 827, 2074, 21967, 9, 334, 1955, 31453, 9, 627, 2074, 135, 2074, 2074, 657, 13901, 9, 208, 9, 40, 2074, 2074, 139, 8368, 20, 2127, 3417, 230, 5783, 10097, 9517, 9, 6394, 2074, 135, 2074, 2074, 657, 13901, 9, 208, 9, 40, 2074, 2074, 139, 8368, 20, 2127, 3417, 230, 5783, 10097, 7560, 9, 1179, 9275, 9, 1020, 5753, 12, 30339, 11, 185, 1577, 2074, 18230, 17497, 279, 9, 12467, 2074, 38460, 21960, 390, 9, 3351, 135, 2074, 2074, 657, 13901, 9, 208, 9, 40, 2074, 2074, 139, 8368, 20, 2127, 3417, 230, 5783, 10097, 28340, 9, 4556, 9039, 9, 6952, 13667, 4067, 9, 10590, 40231, 24767, 237, 28083, 20, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 198, 20, 3693, 3332, 230, 5783, 10097, 12021, 9, 15327, 2074, 7074, 9, 1057, 9114, 2074, 15850, 787, 9, 10044, 2074, 313, 23487, 9, 27770, 2074, 27484, 9, 2487, 25159, 9, 24416, 2074, 286, 21765, 9, 33869, 29215, 9, 17381, 2074, 4752, 527, 305, 527, 9, 21444, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 7277, 20, 1992, 3332, 230, 5783, 10097, 12021, 9, 13385, 7074, 9, 1208, 2404, 2074, 15850, 787, 9, 10044, 2074, 313, 23487, 9, 29817, 2074, 27484, 9, 2487, 25159, 9, 12851, 2074, 286, 21765, 9, 27543, 2074, 29215, 9, 18487, 2074, 4752, 527, 305, 527, 9, 17613, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 198, 20, 3693, 3332, 230, 5783, 10097, 11766, 1456, 9, 483, 3846, 2074, 10584, 279, 9, 12808, 2074, 4227, 2842, 9, 5518, 343, 2842, 9, 3351, 16727, 399, 9, 2464, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 7277, 20, 1992, 3332, 230, 5783, 10097, 4752, 527, 305, 527, 9, 17613, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 198, 20, 3693, 3332, 230, 5783, 10097, 9517, 9, 6656, 2074, 16432, 806, 190, 9, 1811, 2074, 9261, 34, 9, 3575, 2074, 1491, 9, 9014, 2074, 473, 9, 5174, 2989, 9, 1738, 2074, 21967, 9, 219, 2074, 1955, 31453, 9, 414, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 7277, 20, 1992, 3332, 230, 5783, 10097, 9517, 9, 2529, 16432, 806, 190, 9, 1368, 2074, 9261, 34, 9, 1768, 2074, 1491, 9, 9509, 2074, 473, 9, 3462, 2989, 9, 2323, 2074, 21967, 9, 334, 1955, 31453, 9, 400, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 8976, 20, 4129, 3332, 230, 5783, 10097, 9517, 9, 8754, 2074, 16432, 806, 190, 9, 1811, 2074, 9261, 34, 9, 4050, 2074, 1491, 9, 2382, 2074, 473, 9, 4324, 2989, 9, 1738, 2074, 21967, 9, 777, 1955, 31453, 9, 580, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 6978, 20, 4129, 3417, 230, 5783, 10097, 9517, 9, 7866, 2074, 16432, 806, 190, 9, 1368, 2074, 9261, 34, 9 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5493, 305, 10421, 20, 449, 6918, 1368, 12, 18758, 757, 5, 630, 6158, 11, 44, 449, 6918, 1800, 12, 18758, 757, 5, 1631, 2925, 8, 6158, 11, 44, 4740, 2646, 656, 12, 13205, 27344, 5, 98, 672, 5, 200, 2261, 11, 44, 11711, 5442, 12, 3302, 235, 22124, 8227, 11, 44, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 8738, 1641, 12, 12485, 13323, 3423, 5, 284, 205, 30746, 5, 1069, 11, 44, 3972, 5972, 12, 7039, 5612, 7147, 3633, 8, 26, 30, 19274, 11, 44, 3972, 2537, 1608, 12, 7054, 6916, 3783, 11, 44, 7287, 6332, 12, 3302, 7488, 6351, 11, 44, 17446, 4156, 12, 287, 26939, 20612, 7, 446, 7488, 11, 44, 7287, 3927, 2365, 12, 15139, 12, 814, 11, 4492, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 449, 30143, 1933, 12, 3018, 9, 323, 12, 404, 11, 119, 5, 13525, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 13619, 3791, 12, 305, 15603, 2936, 8, 5844, 5, 3794, 7, 2041, 3047, 11, 44, 430, 13965, 777, 12, 3160, 2384, 429, 608, 11, 27730, 305, 10421, 20, 4419, 3246, 38086, 605, 20, 4263, 4289, 14622, 20, 10303, 401, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 81, 5098, 558, 4263, 11415, 250, 36426, 20, 18, 3800, 31, 1588, 4, 668, 4382, 6974, 7, 630, 3237, 30, 12837, 21, 143, 4, 13930, 6439, 17921, 21, 3470, 4, 21111, 14869, 26, 321, 2400, 354, 20, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 230, 5783, 10097, 305, 9504, 11156, 18215, 447, 40, 81, 102, 179, 13, 2010, 50, 82, 217, 4, 2571, 27530, 237, 28083, 20, 135, 2074, 2074, 657, 13901, 9, 208, 9, 40, 2074, 2074, 139, 8368, 20, 2127, 3417, 230, 5783, 10097, 12021, 9, 18770, 2074, 7074, 9, 1057, 1205, 2074, 15850, 787, 9, 9685, 2074, 313, 23487, 9, 29358, 2074, 27484, 9, 2465, 25159, 9, 34484, 286, 21765, 9, 32839, 29215, 9, 16644, 2074, 4752, 527, 305, 527, 9, 24096, 135, 2074, 2074, 657, 13901, 9, 208, 9, 40, 2074, 2074, 139, 8368, 20, 2127, 3417, 230, 5783, 10097, 11766, 1456, 9, 2465, 2074, 230, 13754, 9, 583, 10584, 279, 9, 82, 2074, 4227, 2842, 9, 36, 2074, 343, 2842, 9, 36, 16727, 399, 9, 583, 388, 11877, 279, 9, 583, 5234, 27, 9, 583, 16028, 2842, 9, 583, 135, 2074, 2074, 657, 13901, 9, 208, 9, 40, 2074, 2074, 139, 8368, 20, 2127, 3417, 230, 5783, 10097, 7054, 1407, 677, 9, 299, 4024, 286, 3907, 1955, 16010, 873, 9, 299, 4024, 286, 3907, 8306, 9375, 19990, 9, 299, 4024, 286, 3907, 14181, 25770, 9, 36, 51, 2736, 25770, 9, 299, 4024, 286, 3907, 4128, 1407, 677, 9, 299, 4024, 286, 3907, 135, 2074, 2074, 657, 13901, 9, 208, 9, 40, 2074, 2074, 139, 198, 20, 3536, 3417, 230, 5783, 10097, 3523, 9, 18487, 2074, 16815, 12, 3523, 11, 185, 1641, 2074, 135, 2074, 2074, 657, 13901, 9, 208, 9, 40, 2074, 2074, 139, 8368, 20, 2127, 3417, 230, 5783, 10097, 16432, 806, 190, 9, 504, 2074, 9261, 34, 9, 4311, 2074, 11084, 1491, 9, 2382, 2074, 473, 9, 5174, 2989, 9, 827, 2074, 21967, 9, 334, 1955, 31453, 9, 627, 2074, 135, 2074, 2074, 657, 13901, 9, 208, 9, 40, 2074, 2074, 139, 8368, 20, 2127, 3417, 230, 5783, 10097, 9517, 9, 6394, 2074, 135, 2074, 2074, 657, 13901, 9, 208, 9, 40, 2074, 2074, 139, 8368, 20, 2127, 3417, 230, 5783, 10097, 7560, 9, 1179, 9275, 9, 1020, 5753, 12, 30339, 11, 185, 1577, 2074, 18230, 17497, 279, 9, 12467, 2074, 38460, 21960, 390, 9, 3351, 135, 2074, 2074, 657, 13901, 9, 208, 9, 40, 2074, 2074, 139, 8368, 20, 2127, 3417, 230, 5783, 10097, 28340, 9, 4556, 9039, 9, 6952, 13667, 4067, 9, 10590, 40231, 24767, 237, 28083, 20, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 198, 20, 3693, 3332, 230, 5783, 10097, 12021, 9, 15327, 2074, 7074, 9, 1057, 9114, 2074, 15850, 787, 9, 10044, 2074, 313, 23487, 9, 27770, 2074, 27484, 9, 2487, 25159, 9, 24416, 2074, 286, 21765, 9, 33869, 29215, 9, 17381, 2074, 4752, 527, 305, 527, 9, 21444, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 7277, 20, 1992, 3332, 230, 5783, 10097, 12021, 9, 13385, 7074, 9, 1208, 2404, 2074, 15850, 787, 9, 10044, 2074, 313, 23487, 9, 29817, 2074, 27484, 9, 2487, 25159, 9, 12851, 2074, 286, 21765, 9, 27543, 2074, 29215, 9, 18487, 2074, 4752, 527, 305, 527, 9, 17613, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 198, 20, 3693, 3332, 230, 5783, 10097, 11766, 1456, 9, 483, 3846, 2074, 10584, 279, 9, 12808, 2074, 4227, 2842, 9, 5518, 343, 2842, 9, 3351, 16727, 399, 9, 2464, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 7277, 20, 1992, 3332, 230, 5783, 10097, 4752, 527, 305, 527, 9, 17613, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 198, 20, 3693, 3332, 230, 5783, 10097, 9517, 9, 6656, 2074, 16432, 806, 190, 9, 1811, 2074, 9261, 34, 9, 3575, 2074, 1491, 9, 9014, 2074, 473, 9, 5174, 2989, 9, 1738, 2074, 21967, 9, 219, 2074, 1955, 31453, 9, 414, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 7277, 20, 1992, 3332, 230, 5783, 10097, 9517, 9, 2529, 16432, 806, 190, 9, 1368, 2074, 9261, 34, 9, 1768, 2074, 1491, 9, 9509, 2074, 473, 9, 3462, 2989, 9, 2323, 2074, 21967, 9, 334, 1955, 31453, 9, 400, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 8976, 20, 4129, 3332, 230, 5783, 10097, 9517, 9, 8754, 2074, 16432, 806, 190, 9, 1811, 2074, 9261, 34, 9, 4050, 2074, 1491, 9, 2382, 2074, 473, 9, 4324, 2989, 9, 1738, 2074, 21967, 9, 777, 1955, 31453, 9, 580, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 6978, 20, 4129, 3417, 230, 5783, 10097, 9517, 9, 7866, 2074, 16432, 806, 190, 9, 1368, 2074, 9261, 34, 9 ]
92,287
18156
[ 139, 8368, 20, 2127, 3417, 230, 5783, 10097, 16432, 806, 190, 9, 504, 2074, 9261, 34, 9, 4311, 2074, 11084, 1491, 9, 2382, 2074, 473, 9, 5174, 2989, 9, 827, 2074, 21967, 9, 334, 1955, 31453, 9, 627, 2074, 135, 2074, 2074, 657, 13901, 9, 208, 9, 40, 2074, 2074, 139, 8368, 20, 2127, 3417, 230, 5783, 10097, 9517, 9, 6394, 2074, 135, 2074, 2074, 657, 13901, 9, 208, 9, 40, 2074, 2074, 139, 8368, 20, 2127, 3417, 230, 5783, 10097, 7560, 9, 1179, 9275, 9, 1020, 5753, 12, 30339, 11, 185, 1577, 2074, 18230, 17497, 279, 9, 12467, 2074, 38460, 21960, 390, 9, 3351, 135, 2074, 2074, 657, 13901, 9, 208, 9, 40, 2074, 2074, 139, 8368, 20, 2127, 3417, 230, 5783, 10097, 28340, 9, 4556, 9039, 9, 6952, 13667, 4067, 9, 10590, 40231, 24767, 237, 28083, 20, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 198, 20, 3693, 3332, 230, 5783, 10097, 12021, 9, 15327, 2074, 7074, 9, 1057, 9114, 2074, 15850, 787, 9, 10044, 2074, 313, 23487, 9, 27770, 2074, 27484, 9, 2487, 25159, 9, 24416, 2074, 286, 21765, 9, 33869, 29215, 9, 17381, 2074, 4752, 527, 305, 527, 9, 21444, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 7277, 20, 1992, 3332, 230, 5783, 10097, 12021, 9, 13385, 7074, 9, 1208, 2404, 2074, 15850, 787, 9, 10044, 2074, 313, 23487, 9, 29817, 2074, 27484, 9, 2487, 25159, 9, 12851, 2074, 286, 21765, 9, 27543, 2074, 29215, 9, 18487, 2074, 4752, 527, 305, 527, 9, 17613, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 198, 20, 3693, 3332, 230, 5783, 10097, 11766, 1456, 9, 483, 3846, 2074, 10584, 279, 9, 12808, 2074, 4227, 2842, 9, 5518, 343, 2842, 9, 3351, 16727, 399, 9, 2464, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 7277, 20, 1992, 3332, 230, 5783, 10097, 4752, 527, 305, 527, 9, 17613, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 198, 20, 3693, 3332, 230, 5783, 10097, 9517, 9, 6656, 2074, 16432, 806, 190, 9, 1811, 2074, 9261, 34, 9, 3575, 2074, 1491, 9, 9014, 2074, 473, 9, 5174, 2989, 9, 1738, 2074, 21967, 9, 219, 2074, 1955, 31453, 9, 414, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 7277, 20, 1992, 3332, 230, 5783, 10097, 9517, 9, 2529, 16432, 806, 190, 9, 1368, 2074, 9261, 34, 9, 1768, 2074, 1491, 9, 9509, 2074, 473, 9, 3462, 2989, 9, 2323, 2074, 21967, 9, 334, 1955, 31453, 9, 400, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 8976, 20, 4129, 3332, 230, 5783, 10097, 9517, 9, 8754, 2074, 16432, 806, 190, 9, 1811, 2074, 9261, 34, 9, 4050, 2074, 1491, 9, 2382, 2074, 473, 9, 4324, 2989, 9, 1738, 2074, 21967, 9, 777, 1955, 31453, 9, 580, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 6978, 20, 4129, 3417, 230, 5783, 10097, 9517, 9, 7866, 2074, 16432, 806, 190, 9, 1368, 2074, 9261, 34, 9, 3846, 2074, 1491, 9, 8503, 2074, 473, 9, 4803, 2989, 9, 2401, 2074, 21967, 9, 908, 1955, 31453, 9, 479, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 8976, 20, 11469, 3417, 230, 5783, 10097, 9517, 9, 10441, 2074, 16432, 806, 190, 9, 1608, 2074, 9261, 34, 9, 2766, 2074, 1491, 9, 6773, 2074, 473, 9, 5317, 2074, 2989, 9, 2529, 2074, 21967, 9, 777, 1955, 31453, 9, 479, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 198, 20, 3693, 3332, 230, 5783, 10097, 7560, 9, 1179, 9275, 9, 892, 4424, 12, 7234, 11, 13475, 1179, 2074, 18230, 17497, 279, 9, 13559, 2074, 38460, 21960, 390, 9, 3070, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 7277, 20, 1992, 3332, 230, 5783, 10097, 7560, 9, 1205, 9275, 9, 1059, 4424, 12, 7234, 11, 8988, 2243, 2074, 18230, 17497, 279, 9, 10691, 2074, 38460, 21960, 390, 9, 3351, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 6978, 20, 4129, 3417, 230, 5783, 10097, 7560, 9, 434, 9275, 9, 434, 4424, 12, 7234, 11, 8988, 1206, 2074, 18230, 17497, 279, 9, 9409, 2074, 38460, 21960, 390, 9, 3407, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 198, 20, 3693, 3332, 230, 5783, 10097, 17040, 9, 2127, 2217, 2074, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 6978, 20, 4129, 3417, 230, 5783, 10097, 17040, 9, 2143, 1949, 2074, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 198, 20, 3693, 3332, 230, 5783, 10097, 7560, 9, 1179, 9275, 9, 892, 4424, 12, 7234, 11, 13475, 1179, 2074, 18230, 17497, 279, 9, 13559, 2074, 38460, 21960, 390, 9, 3070, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 7277, 20, 1992, 3332, 230, 5783, 10097, 7560, 9, 1205, 9275, 9, 1059, 4424, 12, 7234, 11, 8988, 2243, 2074, 18230, 17497, 279, 9, 10691, 2074, 38460, 21960, 390, 9, 3351, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 6978, 20, 4129, 3417, 230, 5783, 10097, 7560, 9, 434, 9275, 9, 434, 4424, 12, 7234, 11, 8988, 1206, 2074, 18230, 17497, 279, 9, 9409, 2074, 38460, 21960, 390, 9, 3407, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 198, 20, 3693, 3332, 230, 5783, 10097, 17040, 9, 2127, 2217, 2074, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 6978, 20, 4129, 3417, 230, 5783, 10097, 17040, 9, 2143, 1949, 2074, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 8976, 20, 4129, 3332, 230, 5783, 10097, 9039, 9, 6257, 2074, 17497, 279, 9, 4956, 4901, 9, 1641, 2074, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 6978, 20, 4129, 3417, 230, 5783, 10097, 28340, 9, 3814, 2074, 9039, 9, 5953, 2074, 17497, 279, 9, 4556, 4901, 9, 3791, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 8976, 20, 11469, 3417, 230, 5783, 10097, 9039 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 139, 8368, 20, 2127, 3417, 230, 5783, 10097, 16432, 806, 190, 9, 504, 2074, 9261, 34, 9, 4311, 2074, 11084, 1491, 9, 2382, 2074, 473, 9, 5174, 2989, 9, 827, 2074, 21967, 9, 334, 1955, 31453, 9, 627, 2074, 135, 2074, 2074, 657, 13901, 9, 208, 9, 40, 2074, 2074, 139, 8368, 20, 2127, 3417, 230, 5783, 10097, 9517, 9, 6394, 2074, 135, 2074, 2074, 657, 13901, 9, 208, 9, 40, 2074, 2074, 139, 8368, 20, 2127, 3417, 230, 5783, 10097, 7560, 9, 1179, 9275, 9, 1020, 5753, 12, 30339, 11, 185, 1577, 2074, 18230, 17497, 279, 9, 12467, 2074, 38460, 21960, 390, 9, 3351, 135, 2074, 2074, 657, 13901, 9, 208, 9, 40, 2074, 2074, 139, 8368, 20, 2127, 3417, 230, 5783, 10097, 28340, 9, 4556, 9039, 9, 6952, 13667, 4067, 9, 10590, 40231, 24767, 237, 28083, 20, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 198, 20, 3693, 3332, 230, 5783, 10097, 12021, 9, 15327, 2074, 7074, 9, 1057, 9114, 2074, 15850, 787, 9, 10044, 2074, 313, 23487, 9, 27770, 2074, 27484, 9, 2487, 25159, 9, 24416, 2074, 286, 21765, 9, 33869, 29215, 9, 17381, 2074, 4752, 527, 305, 527, 9, 21444, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 7277, 20, 1992, 3332, 230, 5783, 10097, 12021, 9, 13385, 7074, 9, 1208, 2404, 2074, 15850, 787, 9, 10044, 2074, 313, 23487, 9, 29817, 2074, 27484, 9, 2487, 25159, 9, 12851, 2074, 286, 21765, 9, 27543, 2074, 29215, 9, 18487, 2074, 4752, 527, 305, 527, 9, 17613, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 198, 20, 3693, 3332, 230, 5783, 10097, 11766, 1456, 9, 483, 3846, 2074, 10584, 279, 9, 12808, 2074, 4227, 2842, 9, 5518, 343, 2842, 9, 3351, 16727, 399, 9, 2464, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 7277, 20, 1992, 3332, 230, 5783, 10097, 4752, 527, 305, 527, 9, 17613, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 198, 20, 3693, 3332, 230, 5783, 10097, 9517, 9, 6656, 2074, 16432, 806, 190, 9, 1811, 2074, 9261, 34, 9, 3575, 2074, 1491, 9, 9014, 2074, 473, 9, 5174, 2989, 9, 1738, 2074, 21967, 9, 219, 2074, 1955, 31453, 9, 414, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 7277, 20, 1992, 3332, 230, 5783, 10097, 9517, 9, 2529, 16432, 806, 190, 9, 1368, 2074, 9261, 34, 9, 1768, 2074, 1491, 9, 9509, 2074, 473, 9, 3462, 2989, 9, 2323, 2074, 21967, 9, 334, 1955, 31453, 9, 400, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 8976, 20, 4129, 3332, 230, 5783, 10097, 9517, 9, 8754, 2074, 16432, 806, 190, 9, 1811, 2074, 9261, 34, 9, 4050, 2074, 1491, 9, 2382, 2074, 473, 9, 4324, 2989, 9, 1738, 2074, 21967, 9, 777, 1955, 31453, 9, 580, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 6978, 20, 4129, 3417, 230, 5783, 10097, 9517, 9, 7866, 2074, 16432, 806, 190, 9, 1368, 2074, 9261, 34, 9, 3846, 2074, 1491, 9, 8503, 2074, 473, 9, 4803, 2989, 9, 2401, 2074, 21967, 9, 908, 1955, 31453, 9, 479, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 8976, 20, 11469, 3417, 230, 5783, 10097, 9517, 9, 10441, 2074, 16432, 806, 190, 9, 1608, 2074, 9261, 34, 9, 2766, 2074, 1491, 9, 6773, 2074, 473, 9, 5317, 2074, 2989, 9, 2529, 2074, 21967, 9, 777, 1955, 31453, 9, 479, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 198, 20, 3693, 3332, 230, 5783, 10097, 7560, 9, 1179, 9275, 9, 892, 4424, 12, 7234, 11, 13475, 1179, 2074, 18230, 17497, 279, 9, 13559, 2074, 38460, 21960, 390, 9, 3070, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 7277, 20, 1992, 3332, 230, 5783, 10097, 7560, 9, 1205, 9275, 9, 1059, 4424, 12, 7234, 11, 8988, 2243, 2074, 18230, 17497, 279, 9, 10691, 2074, 38460, 21960, 390, 9, 3351, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 6978, 20, 4129, 3417, 230, 5783, 10097, 7560, 9, 434, 9275, 9, 434, 4424, 12, 7234, 11, 8988, 1206, 2074, 18230, 17497, 279, 9, 9409, 2074, 38460, 21960, 390, 9, 3407, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 198, 20, 3693, 3332, 230, 5783, 10097, 17040, 9, 2127, 2217, 2074, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 6978, 20, 4129, 3417, 230, 5783, 10097, 17040, 9, 2143, 1949, 2074, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 198, 20, 3693, 3332, 230, 5783, 10097, 7560, 9, 1179, 9275, 9, 892, 4424, 12, 7234, 11, 13475, 1179, 2074, 18230, 17497, 279, 9, 13559, 2074, 38460, 21960, 390, 9, 3070, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 7277, 20, 1992, 3332, 230, 5783, 10097, 7560, 9, 1205, 9275, 9, 1059, 4424, 12, 7234, 11, 8988, 2243, 2074, 18230, 17497, 279, 9, 10691, 2074, 38460, 21960, 390, 9, 3351, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 6978, 20, 4129, 3417, 230, 5783, 10097, 7560, 9, 434, 9275, 9, 434, 4424, 12, 7234, 11, 8988, 1206, 2074, 18230, 17497, 279, 9, 9409, 2074, 38460, 21960, 390, 9, 3407, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 198, 20, 3693, 3332, 230, 5783, 10097, 17040, 9, 2127, 2217, 2074, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 6978, 20, 4129, 3417, 230, 5783, 10097, 17040, 9, 2143, 1949, 2074, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 8976, 20, 4129, 3332, 230, 5783, 10097, 9039, 9, 6257, 2074, 17497, 279, 9, 4956, 4901, 9, 1641, 2074, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 6978, 20, 4129, 3417, 230, 5783, 10097, 28340, 9, 3814, 2074, 9039, 9, 5953, 2074, 17497, 279, 9, 4556, 4901, 9, 3791, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 8976, 20, 11469, 3417, 230, 5783, 10097, 9039 ]
92,287
18156
[ 3846, 2074, 1491, 9, 8503, 2074, 473, 9, 4803, 2989, 9, 2401, 2074, 21967, 9, 908, 1955, 31453, 9, 479, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 8976, 20, 11469, 3417, 230, 5783, 10097, 9517, 9, 10441, 2074, 16432, 806, 190, 9, 1608, 2074, 9261, 34, 9, 2766, 2074, 1491, 9, 6773, 2074, 473, 9, 5317, 2074, 2989, 9, 2529, 2074, 21967, 9, 777, 1955, 31453, 9, 479, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 198, 20, 3693, 3332, 230, 5783, 10097, 7560, 9, 1179, 9275, 9, 892, 4424, 12, 7234, 11, 13475, 1179, 2074, 18230, 17497, 279, 9, 13559, 2074, 38460, 21960, 390, 9, 3070, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 7277, 20, 1992, 3332, 230, 5783, 10097, 7560, 9, 1205, 9275, 9, 1059, 4424, 12, 7234, 11, 8988, 2243, 2074, 18230, 17497, 279, 9, 10691, 2074, 38460, 21960, 390, 9, 3351, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 6978, 20, 4129, 3417, 230, 5783, 10097, 7560, 9, 434, 9275, 9, 434, 4424, 12, 7234, 11, 8988, 1206, 2074, 18230, 17497, 279, 9, 9409, 2074, 38460, 21960, 390, 9, 3407, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 198, 20, 3693, 3332, 230, 5783, 10097, 17040, 9, 2127, 2217, 2074, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 6978, 20, 4129, 3417, 230, 5783, 10097, 17040, 9, 2143, 1949, 2074, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 198, 20, 3693, 3332, 230, 5783, 10097, 7560, 9, 1179, 9275, 9, 892, 4424, 12, 7234, 11, 13475, 1179, 2074, 18230, 17497, 279, 9, 13559, 2074, 38460, 21960, 390, 9, 3070, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 7277, 20, 1992, 3332, 230, 5783, 10097, 7560, 9, 1205, 9275, 9, 1059, 4424, 12, 7234, 11, 8988, 2243, 2074, 18230, 17497, 279, 9, 10691, 2074, 38460, 21960, 390, 9, 3351, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 6978, 20, 4129, 3417, 230, 5783, 10097, 7560, 9, 434, 9275, 9, 434, 4424, 12, 7234, 11, 8988, 1206, 2074, 18230, 17497, 279, 9, 9409, 2074, 38460, 21960, 390, 9, 3407, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 198, 20, 3693, 3332, 230, 5783, 10097, 17040, 9, 2127, 2217, 2074, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 6978, 20, 4129, 3417, 230, 5783, 10097, 17040, 9, 2143, 1949, 2074, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 8976, 20, 4129, 3332, 230, 5783, 10097, 9039, 9, 6257, 2074, 17497, 279, 9, 4956, 4901, 9, 1641, 2074, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 6978, 20, 4129, 3417, 230, 5783, 10097, 28340, 9, 3814, 2074, 9039, 9, 5953, 2074, 17497, 279, 9, 4556, 4901, 9, 3791, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 8976, 20, 11469, 3417, 230, 5783, 10097, 9039, 9, 5953, 2074, 17497, 279, 9, 4556, 4901, 9, 1768, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3846, 2074, 1491, 9, 8503, 2074, 473, 9, 4803, 2989, 9, 2401, 2074, 21967, 9, 908, 1955, 31453, 9, 479, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 8976, 20, 11469, 3417, 230, 5783, 10097, 9517, 9, 10441, 2074, 16432, 806, 190, 9, 1608, 2074, 9261, 34, 9, 2766, 2074, 1491, 9, 6773, 2074, 473, 9, 5317, 2074, 2989, 9, 2529, 2074, 21967, 9, 777, 1955, 31453, 9, 479, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 198, 20, 3693, 3332, 230, 5783, 10097, 7560, 9, 1179, 9275, 9, 892, 4424, 12, 7234, 11, 13475, 1179, 2074, 18230, 17497, 279, 9, 13559, 2074, 38460, 21960, 390, 9, 3070, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 7277, 20, 1992, 3332, 230, 5783, 10097, 7560, 9, 1205, 9275, 9, 1059, 4424, 12, 7234, 11, 8988, 2243, 2074, 18230, 17497, 279, 9, 10691, 2074, 38460, 21960, 390, 9, 3351, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 6978, 20, 4129, 3417, 230, 5783, 10097, 7560, 9, 434, 9275, 9, 434, 4424, 12, 7234, 11, 8988, 1206, 2074, 18230, 17497, 279, 9, 9409, 2074, 38460, 21960, 390, 9, 3407, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 198, 20, 3693, 3332, 230, 5783, 10097, 17040, 9, 2127, 2217, 2074, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 6978, 20, 4129, 3417, 230, 5783, 10097, 17040, 9, 2143, 1949, 2074, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 198, 20, 3693, 3332, 230, 5783, 10097, 7560, 9, 1179, 9275, 9, 892, 4424, 12, 7234, 11, 13475, 1179, 2074, 18230, 17497, 279, 9, 13559, 2074, 38460, 21960, 390, 9, 3070, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 7277, 20, 1992, 3332, 230, 5783, 10097, 7560, 9, 1205, 9275, 9, 1059, 4424, 12, 7234, 11, 8988, 2243, 2074, 18230, 17497, 279, 9, 10691, 2074, 38460, 21960, 390, 9, 3351, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 6978, 20, 4129, 3417, 230, 5783, 10097, 7560, 9, 434, 9275, 9, 434, 4424, 12, 7234, 11, 8988, 1206, 2074, 18230, 17497, 279, 9, 9409, 2074, 38460, 21960, 390, 9, 3407, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 198, 20, 3693, 3332, 230, 5783, 10097, 17040, 9, 2127, 2217, 2074, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 6978, 20, 4129, 3417, 230, 5783, 10097, 17040, 9, 2143, 1949, 2074, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 8976, 20, 4129, 3332, 230, 5783, 10097, 9039, 9, 6257, 2074, 17497, 279, 9, 4956, 4901, 9, 1641, 2074, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 6978, 20, 4129, 3417, 230, 5783, 10097, 28340, 9, 3814, 2074, 9039, 9, 5953, 2074, 17497, 279, 9, 4556, 4901, 9, 3791, 135, 2074, 2074, 657, 13901, 9, 208, 9, 54, 2074, 2074, 139, 8976, 20, 11469, 3417, 230, 5783, 10097, 9039, 9, 5953, 2074, 17497, 279, 9, 4556, 4901, 9, 1768, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
92,287
18156
[ 5493, 305, 10421, 20, 449, 6918, 1368, 12, 18758, 757, 5, 630, 6158, 11, 44, 449, 6918, 1800, 12, 18758, 757, 5, 1631, 2925, 8, 6158, 11, 44, 4740, 2646, 656, 12, 13205, 27344, 5, 98, 672, 5, 200, 2261, 11, 44, 11711, 5442, 12, 3302, 235, 22124, 8227, 11, 44, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 8738, 1641, 12, 12485, 13323, 3423, 5, 284, 205, 30746, 5, 1069, 11, 44, 3972, 5972, 12, 7039, 5612, 7147, 3633, 8, 26, 30, 19274, 11, 44, 3972, 2537, 1608, 12, 7054, 6916, 3783, 11, 44, 7287, 6332, 12, 3302, 7488, 6351, 11, 44, 17446, 4156, 12, 287, 26939, 20612, 7, 446, 7488, 11, 44, 7287, 3927, 2365, 12, 15139, 12, 814, 11, 4492, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 449, 30143, 1933, 12, 3018, 9, 323, 12, 404, 11, 119, 5, 13525, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 13619, 3791, 12, 305, 15603, 2936, 8, 5844, 5, 3794, 7, 2041, 3047, 11, 44, 430, 13965, 777, 12, 3160, 2384, 429, 608, 11, 27730, 305, 10421, 20, 4419, 12982, 10440, 160, 1223, 12748, 2267, 20, 4469, 20, 28953, 3409, 2685, 10293, 449, 3340, 2940, 845, 20, 278, 4628, 8382, 1341, 135, 2074, 2074, 657, 13901, 9, 208, 9, 465, 2074, 2074, 139, 34, 402, 20, 4094, 3332, 920, 20, 135, 2074, 2074, 3247, 299, 10357, 208, 12, 299, 10357, 37308, 40, 11, 2074, 2074, 139, 135, 2074, 2074, 30760, 299, 11142, 12, 299, 10357, 37308, 36, 11, 5217, 2074, 2074, 139, 7, 3758, 135, 2074, 2074, 9886, 36169, 26, 278, 7327, 12, 36, 11, 1926, 2074, 2074, 139, 21804, 20, 2539, 135, 2074, 2074, 1794, 629, 4585, 299, 11142, 908, 2074, 2074, 139, 1119, 28318, 677, 135, 2074, 2074, 32820, 12, 12718, 11, 2074, 2074, 139, 25925, 507, 20, 343, 9275, 20360, 3587, 3432, 20, 135, 2074, 2074, 1794, 629, 4585, 299, 11142, 908, 2074, 2074, 139, 23199, 118, 4469, 20, 16687, 2450, 9504, 2316, 4706, 12818, 2952, 1341, 845, 20, 33050, 8382, 1341, 135, 2074, 2074, 657, 13901, 9, 348, 9, 465, 2074, 2074, 139, 34, 91, 20, 992, 3332, 920, 20, 135, 2074, 2074, 3247, 299, 10357, 402, 12, 299, 11142, 37308, 36, 11, 2074, 2074, 139, 135, 2074, 2074, 30760, 299, 11142, 12, 299, 10357, 37308, 85, 11, 2278, 11306, 2074, 2074, 139, 7, 3818, 135, 2074, 2074, 9886, 36169, 26, 278, 7327, 12, 36, 11, 2278, 12392, 2074, 2074, 139, 21804, 20, 7698, 135, 2074, 2074, 1794, 629, 4585, 299, 11142, 2074, 2074, 139, 14241, 683, 454, 12, 135, 2074, 2074, 30760, 299, 11142, 12, 299, 10357, 37308, 36, 11, 2074, 2074, 139, 11, 135, 2074, 2074, 32820, 12, 12718, 11, 2074, 2074, 139, 25925, 507, 20, 629, 17406, 20360, 3587, 3432, 20, 135, 2074, 2074, 1794, 629, 4585, 299, 11142, 2074, 2074, 139, 23199, 118, 4469, 20, 135, 2074, 2074, 18820, 846, 54, 21191, 2074, 2074, 139, 845, 20, 32805, 6037, 343, 6123, 388, 1341, 135, 2074, 2074, 657, 13901, 9, 208, 9, 414, 2074, 2074, 139, 34, 36, 20, 249, 3417, 920, 20, 19594, 135, 2074, 2074, 3247, 299, 10357, 85, 12, 299, 10357, 37308, 36, 11, 657, 13520, 2074, 2074, 139, 135, 2074, 2074, 30760, 299, 11142, 12, 299, 10357, 37308, 36, 11, 657, 11812, 2074, 2074, 139, 10, 6, 135, 2074, 2074, 34213, 873, 14499, 2074, 2074, 139, 2818, 1982, 135, 2074, 2074, 1794, 483, 2487, 2074, 2074, 139, 38223, 3420, 3601, 86, 20, 135, 2074, 2074, 9886, 36169, 26, 278, 7327, 12, 36, 11, 2889, 2074, 2074, 139, 21804, 20, 2539, 135, 2074, 2074, 1794, 629, 4585, 299, 11142, 908, 2074, 2074, 139, 1119, 28318, 677, 135, 2074, 2074, 32820, 12, 12718, 11, 483, 203, 2074, 2074, 139, 2765, 135, 2074, 2074, 1794, 2074, 2074, 139, 25925, 507, 20, 343, 9275, 20360, 3587, 3432, 20, 135, 2074, 2074, 1794, 629, 4585, 299, 11142, 908, 2074, 2074, 139, 23199, 118, 299, 15180, 20, 56, 18078, 21, 15, 14, 503, 9, 117, 8801, 27, 672, 5, 16312, 1513, 29, 6, 503, 2135, 13, 16312, 235, 177, 6671, 4, 135, 2074, 2074, 299, 10357, 91, 12, 299, 10357, 2882, 11, 393, 479, 2074, 2074, 139, 35, 4160, 7, 11980, 374, 4120, 16312, 3139, 235, 177, 8801, 10, 389, 160, 4, 17782, 23763, 23, 20, 135, 2074, 2074, 657, 13901, 9, 208, 9, 208, 2074, 2074, 139, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 449, 6918, 1368, 12, 18758, 757, 5, 630, 6158, 11, 44, 449, 6918, 1800, 12, 18758, 757, 5, 1631, 2925, 8, 6158, 11, 44, 4740, 2646, 656, 12, 13205, 27344, 5, 98, 672, 5, 200, 2261, 11, 44, 11711, 5442, 12, 3302, 235, 22124, 8227, 11, 44, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 8738, 1641, 12, 12485, 13323, 3423, 5, 284, 205, 30746, 5, 1069, 11, 44, 3972, 5972, 12, 7039, 5612, 7147, 3633, 8, 26, 30, 19274, 11, 44, 3972, 2537, 1608, 12, 7054, 6916, 3783, 11, 44, 7287, 6332, 12, 3302, 7488, 6351, 11, 44, 17446, 4156, 12, 287, 26939, 20612, 7, 446, 7488, 11, 44, 7287, 3927, 2365, 12, 15139, 12, 814, 11, 4492, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 449, 30143, 1933, 12, 3018, 9, 323, 12, 404, 11, 119, 5, 13525, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 13619, 3791, 12, 305, 15603, 2936, 8, 5844, 5, 3794, 7, 2041, 3047, 11, 44, 430, 13965, 777, 12, 3160, 2384, 429, 608, 11, 27730, 305, 10421, 20, 4419, 12982, 10440, 160, 1223, 12748, 2267, 20, 4469, 20, 28953, 3409, 2685, 10293, 449, 3340, 2940, 845, 20, 278, 4628, 8382, 1341, 135, 2074, 2074, 657, 13901, 9, 208, 9, 465, 2074, 2074, 139, 34, 402, 20, 4094, 3332, 920, 20, 135, 2074, 2074, 3247, 299, 10357, 208, 12, 299, 10357, 37308, 40, 11, 2074, 2074, 139, 135, 2074, 2074, 30760, 299, 11142, 12, 299, 10357, 37308, 36, 11, 5217, 2074, 2074, 139, 7, 3758, 135, 2074, 2074, 9886, 36169, 26, 278, 7327, 12, 36, 11, 1926, 2074, 2074, 139, 21804, 20, 2539, 135, 2074, 2074, 1794, 629, 4585, 299, 11142, 908, 2074, 2074, 139, 1119, 28318, 677, 135, 2074, 2074, 32820, 12, 12718, 11, 2074, 2074, 139, 25925, 507, 20, 343, 9275, 20360, 3587, 3432, 20, 135, 2074, 2074, 1794, 629, 4585, 299, 11142, 908, 2074, 2074, 139, 23199, 118, 4469, 20, 16687, 2450, 9504, 2316, 4706, 12818, 2952, 1341, 845, 20, 33050, 8382, 1341, 135, 2074, 2074, 657, 13901, 9, 348, 9, 465, 2074, 2074, 139, 34, 91, 20, 992, 3332, 920, 20, 135, 2074, 2074, 3247, 299, 10357, 402, 12, 299, 11142, 37308, 36, 11, 2074, 2074, 139, 135, 2074, 2074, 30760, 299, 11142, 12, 299, 10357, 37308, 85, 11, 2278, 11306, 2074, 2074, 139, 7, 3818, 135, 2074, 2074, 9886, 36169, 26, 278, 7327, 12, 36, 11, 2278, 12392, 2074, 2074, 139, 21804, 20, 7698, 135, 2074, 2074, 1794, 629, 4585, 299, 11142, 2074, 2074, 139, 14241, 683, 454, 12, 135, 2074, 2074, 30760, 299, 11142, 12, 299, 10357, 37308, 36, 11, 2074, 2074, 139, 11, 135, 2074, 2074, 32820, 12, 12718, 11, 2074, 2074, 139, 25925, 507, 20, 629, 17406, 20360, 3587, 3432, 20, 135, 2074, 2074, 1794, 629, 4585, 299, 11142, 2074, 2074, 139, 23199, 118, 4469, 20, 135, 2074, 2074, 18820, 846, 54, 21191, 2074, 2074, 139, 845, 20, 32805, 6037, 343, 6123, 388, 1341, 135, 2074, 2074, 657, 13901, 9, 208, 9, 414, 2074, 2074, 139, 34, 36, 20, 249, 3417, 920, 20, 19594, 135, 2074, 2074, 3247, 299, 10357, 85, 12, 299, 10357, 37308, 36, 11, 657, 13520, 2074, 2074, 139, 135, 2074, 2074, 30760, 299, 11142, 12, 299, 10357, 37308, 36, 11, 657, 11812, 2074, 2074, 139, 10, 6, 135, 2074, 2074, 34213, 873, 14499, 2074, 2074, 139, 2818, 1982, 135, 2074, 2074, 1794, 483, 2487, 2074, 2074, 139, 38223, 3420, 3601, 86, 20, 135, 2074, 2074, 9886, 36169, 26, 278, 7327, 12, 36, 11, 2889, 2074, 2074, 139, 21804, 20, 2539, 135, 2074, 2074, 1794, 629, 4585, 299, 11142, 908, 2074, 2074, 139, 1119, 28318, 677, 135, 2074, 2074, 32820, 12, 12718, 11, 483, 203, 2074, 2074, 139, 2765, 135, 2074, 2074, 1794, 2074, 2074, 139, 25925, 507, 20, 343, 9275, 20360, 3587, 3432, 20, 135, 2074, 2074, 1794, 629, 4585, 299, 11142, 908, 2074, 2074, 139, 23199, 118, 299, 15180, 20, 56, 18078, 21, 15, 14, 503, 9, 117, 8801, 27, 672, 5, 16312, 1513, 29, 6, 503, 2135, 13, 16312, 235, 177, 6671, 4, 135, 2074, 2074, 299, 10357, 91, 12, 299, 10357, 2882, 11, 393, 479, 2074, 2074, 139, 35, 4160, 7, 11980, 374, 4120, 16312, 3139, 235, 177, 8801, 10, 389, 160, 4, 17782, 23763, 23, 20, 135, 2074, 2074, 657, 13901, 9, 208, 9, 208, 2074, 2074, 139, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
92,287
18156
[ 5493, 305, 10421, 20, 449, 6918, 1368, 12, 18758, 757, 5, 630, 6158, 11, 44, 449, 6918, 1800, 12, 18758, 757, 5, 1631, 2925, 8, 6158, 11, 44, 4740, 2646, 656, 12, 13205, 27344, 5, 98, 672, 5, 200, 2261, 11, 44, 11711, 5442, 12, 3302, 235, 22124, 8227, 11, 44, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 8738, 1641, 12, 12485, 13323, 3423, 5, 284, 205, 30746, 5, 1069, 11, 44, 3972, 5972, 12, 7039, 5612, 7147, 3633, 8, 26, 30, 19274, 11, 44, 3972, 2537, 1608, 12, 7054, 6916, 3783, 11, 44, 7287, 6332, 12, 3302, 7488, 6351, 11, 44, 17446, 4156, 12, 287, 26939, 20612, 7, 446, 7488, 11, 44, 7287, 3927, 2365, 12, 15139, 12, 814, 11, 4492, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 449, 30143, 1933, 12, 3018, 9, 323, 12, 404, 11, 119, 5, 13525, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 13619, 3791, 12, 305, 15603, 2936, 8, 5844, 5, 3794, 7, 2041, 3047, 11, 44, 430, 13965, 777, 12, 3160, 2384, 429, 608, 11, 27730, 305, 10421, 20, 4419, 6827, 17246, 20, 14652, 12032, 20, 259, 26, 399, 305, 3848, 33562, 20, 259, 26, 399, 429, 76, 7, 1162, 11480, 2026, 10793, 8, 67, 14, 10247, 783, 4, 7685, 37321, 483, 657, 36220, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 449, 6918, 1368, 12, 18758, 757, 5, 630, 6158, 11, 44, 449, 6918, 1800, 12, 18758, 757, 5, 1631, 2925, 8, 6158, 11, 44, 4740, 2646, 656, 12, 13205, 27344, 5, 98, 672, 5, 200, 2261, 11, 44, 11711, 5442, 12, 3302, 235, 22124, 8227, 11, 44, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 8738, 1641, 12, 12485, 13323, 3423, 5, 284, 205, 30746, 5, 1069, 11, 44, 3972, 5972, 12, 7039, 5612, 7147, 3633, 8, 26, 30, 19274, 11, 44, 3972, 2537, 1608, 12, 7054, 6916, 3783, 11, 44, 7287, 6332, 12, 3302, 7488, 6351, 11, 44, 17446, 4156, 12, 287, 26939, 20612, 7, 446, 7488, 11, 44, 7287, 3927, 2365, 12, 15139, 12, 814, 11, 4492, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 449, 30143, 1933, 12, 3018, 9, 323, 12, 404, 11, 119, 5, 13525, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 13619, 3791, 12, 305, 15603, 2936, 8, 5844, 5, 3794, 7, 2041, 3047, 11, 44, 430, 13965, 777, 12, 3160, 2384, 429, 608, 11, 27730, 305, 10421, 20, 4419, 6827, 17246, 20, 14652, 12032, 20, 259, 26, 399, 305, 3848, 33562, 20, 259, 26, 399, 429, 76, 7, 1162, 11480, 2026, 10793, 8, 67, 14, 10247, 783, 4, 7685, 37321, 483, 657, 36220, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
92,287
18156
[ 5493, 305, 10421, 20, 449, 6918, 1368, 12, 18758, 757, 5, 630, 6158, 11, 44, 449, 6918, 1800, 12, 18758, 757, 5, 1631, 2925, 8, 6158, 11, 44, 4740, 2646, 656, 12, 13205, 27344, 5, 98, 672, 5, 200, 2261, 11, 44, 11711, 5442, 12, 3302, 235, 22124, 8227, 11, 44, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 8738, 1641, 12, 12485, 13323, 3423, 5, 284, 205, 30746, 5, 1069, 11, 44, 3972, 5972, 12, 7039, 5612, 7147, 3633, 8, 26, 30, 19274, 11, 44, 3972, 2537, 1608, 12, 7054, 6916, 3783, 11, 44, 7287, 6332, 12, 3302, 7488, 6351, 11, 44, 17446, 4156, 12, 287, 26939, 20612, 7, 446, 7488, 11, 44, 7287, 3927, 2365, 12, 15139, 12, 814, 11, 4492, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 449, 30143, 1933, 12, 3018, 9, 323, 12, 404, 11, 119, 5, 13525, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 13619, 3791, 12, 305, 15603, 2936, 8, 5844, 5, 3794, 7, 2041, 3047, 11, 44, 430, 13965, 777, 12, 3160, 2384, 429, 608, 11, 27730, 305, 10421, 20, 4419, 36321, 313, 2435, 6278, 2493, 3409, 1799, 18001, 20, 36, 4, 32502, 17210, 2157, 194, 6885, 1537, 393, 354, 40, 4, 12673, 11445, 24964, 194, 6885, 261, 4177, 21568, 54, 4, 17729, 7026, 26495, 4262, 24, 403, 1709, 2591, 4, 9012, 169, 4, 36, 261, 16947, 9830, 5834, 343, 1015, 2940, 3118, 85, 4, 19504, 1181, 261, 5222, 316, 12, 17480, 15524, 11, 82, 194, 6885, 31097, 20, 2873, 190, 353, 82, 4, 19504, 37370, 3262, 12, 19504, 2048, 3598, 190, 11, 219, 194, 6885, 1537, 1740, 354, 116, 4, 12509, 37510, 219, 194, 6885, 8575, 2952, 1341, 403, 4001, 1832, 8382, 1341, 2234, 7983, 7950, 16, 7496, 109, 359, 269, 447, 2074, 14577, 38412, 219, 194, 36, 10149, 12, 279, 11, 23, 5700, 1873, 98, 262, 3031, 110, 11084, 2074, 274, 26332, 6613, 1719, 24044, 20, 2074, 583, 215, 4, 13202, 871, 9241, 116, 194, 6885, 261, 4177, 12564, 479, 208, 4, 5234, 38396, 19595, 7528, 786, 20570, 359, 194, 6885, 261, 4177, 21568, 269, 447, 2074, 18882, 11344, 359, 194, 36, 10149, 12, 279, 11, 23, 5700, 886, 3031, 110, 11084, 2074, 249, 26332, 6613, 1719, 24044, 20, 2074, 583, 348, 4, 17529, 37753, 18900, 9, 15524, 4253, 194, 6885, 261, 4177, 21568, 91, 4, 22471, 31951, 13840, 18726, 1717, 9270, 16815, 135, 2074, 2074, 657, 13901, 9, 208, 9, 348, 2074, 2074, 139, 8, 33658, 62, 13, 135, 2074, 2074, 34213, 873, 14499, 2074, 2074, 139, 135, 2074, 2074, 1794, 3536, 1608, 2074, 2074, 139, 4, 3601, 86, 135, 2074, 2074, 9886, 36169, 26, 278, 7327, 12, 36, 11, 657, 13901, 2074, 2074, 139, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 449, 6918, 1368, 12, 18758, 757, 5, 630, 6158, 11, 44, 449, 6918, 1800, 12, 18758, 757, 5, 1631, 2925, 8, 6158, 11, 44, 4740, 2646, 656, 12, 13205, 27344, 5, 98, 672, 5, 200, 2261, 11, 44, 11711, 5442, 12, 3302, 235, 22124, 8227, 11, 44, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 8738, 1641, 12, 12485, 13323, 3423, 5, 284, 205, 30746, 5, 1069, 11, 44, 3972, 5972, 12, 7039, 5612, 7147, 3633, 8, 26, 30, 19274, 11, 44, 3972, 2537, 1608, 12, 7054, 6916, 3783, 11, 44, 7287, 6332, 12, 3302, 7488, 6351, 11, 44, 17446, 4156, 12, 287, 26939, 20612, 7, 446, 7488, 11, 44, 7287, 3927, 2365, 12, 15139, 12, 814, 11, 4492, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 449, 30143, 1933, 12, 3018, 9, 323, 12, 404, 11, 119, 5, 13525, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 13619, 3791, 12, 305, 15603, 2936, 8, 5844, 5, 3794, 7, 2041, 3047, 11, 44, 430, 13965, 777, 12, 3160, 2384, 429, 608, 11, 27730, 305, 10421, 20, 4419, 36321, 313, 2435, 6278, 2493, 3409, 1799, 18001, 20, 36, 4, 32502, 17210, 2157, 194, 6885, 1537, 393, 354, 40, 4, 12673, 11445, 24964, 194, 6885, 261, 4177, 21568, 54, 4, 17729, 7026, 26495, 4262, 24, 403, 1709, 2591, 4, 9012, 169, 4, 36, 261, 16947, 9830, 5834, 343, 1015, 2940, 3118, 85, 4, 19504, 1181, 261, 5222, 316, 12, 17480, 15524, 11, 82, 194, 6885, 31097, 20, 2873, 190, 353, 82, 4, 19504, 37370, 3262, 12, 19504, 2048, 3598, 190, 11, 219, 194, 6885, 1537, 1740, 354, 116, 4, 12509, 37510, 219, 194, 6885, 8575, 2952, 1341, 403, 4001, 1832, 8382, 1341, 2234, 7983, 7950, 16, 7496, 109, 359, 269, 447, 2074, 14577, 38412, 219, 194, 36, 10149, 12, 279, 11, 23, 5700, 1873, 98, 262, 3031, 110, 11084, 2074, 274, 26332, 6613, 1719, 24044, 20, 2074, 583, 215, 4, 13202, 871, 9241, 116, 194, 6885, 261, 4177, 12564, 479, 208, 4, 5234, 38396, 19595, 7528, 786, 20570, 359, 194, 6885, 261, 4177, 21568, 269, 447, 2074, 18882, 11344, 359, 194, 36, 10149, 12, 279, 11, 23, 5700, 886, 3031, 110, 11084, 2074, 249, 26332, 6613, 1719, 24044, 20, 2074, 583, 348, 4, 17529, 37753, 18900, 9, 15524, 4253, 194, 6885, 261, 4177, 21568, 91, 4, 22471, 31951, 13840, 18726, 1717, 9270, 16815, 135, 2074, 2074, 657, 13901, 9, 208, 9, 348, 2074, 2074, 139, 8, 33658, 62, 13, 135, 2074, 2074, 34213, 873, 14499, 2074, 2074, 139, 135, 2074, 2074, 1794, 3536, 1608, 2074, 2074, 139, 4, 3601, 86, 135, 2074, 2074, 9886, 36169, 26, 278, 7327, 12, 36, 11, 657, 13901, 2074, 2074, 139, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
92,287
18156
[ 5493, 305, 10421, 20, 449, 6918, 1368, 12, 18758, 757, 5, 630, 6158, 11, 44, 449, 6918, 1800, 12, 18758, 757, 5, 1631, 2925, 8, 6158, 11, 44, 4740, 2646, 656, 12, 13205, 27344, 5, 98, 672, 5, 200, 2261, 11, 44, 11711, 5442, 12, 3302, 235, 22124, 8227, 11, 44, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 8738, 1641, 12, 12485, 13323, 3423, 5, 284, 205, 30746, 5, 1069, 11, 44, 3972, 5972, 12, 7039, 5612, 7147, 3633, 8, 26, 30, 19274, 11, 44, 3972, 2537, 1608, 12, 7054, 6916, 3783, 11, 44, 7287, 6332, 12, 3302, 7488, 6351, 11, 44, 17446, 4156, 12, 287, 26939, 20612, 7, 446, 7488, 11, 44, 7287, 3927, 2365, 12, 15139, 12, 814, 11, 4492, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 449, 30143, 1933, 12, 3018, 9, 323, 12, 404, 11, 119, 5, 13525, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 13619, 3791, 12, 305, 15603, 2936, 8, 5844, 5, 3794, 7, 2041, 3047, 11, 44, 430, 13965, 777, 12, 3160, 2384, 429, 608, 11, 27730, 305, 10421, 20, 4419, 36321, 313, 2435, 6278, 33229, 12278, 20, 2930, 20, 8630, 896, 1194, 20901, 7, 293, 889, 448, 5791, 20, 12311, 3852, 7, 308, 2384, 8749, 429, 608, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 449, 6918, 1368, 12, 18758, 757, 5, 630, 6158, 11, 44, 449, 6918, 1800, 12, 18758, 757, 5, 1631, 2925, 8, 6158, 11, 44, 4740, 2646, 656, 12, 13205, 27344, 5, 98, 672, 5, 200, 2261, 11, 44, 11711, 5442, 12, 3302, 235, 22124, 8227, 11, 44, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 8738, 1641, 12, 12485, 13323, 3423, 5, 284, 205, 30746, 5, 1069, 11, 44, 3972, 5972, 12, 7039, 5612, 7147, 3633, 8, 26, 30, 19274, 11, 44, 3972, 2537, 1608, 12, 7054, 6916, 3783, 11, 44, 7287, 6332, 12, 3302, 7488, 6351, 11, 44, 17446, 4156, 12, 287, 26939, 20612, 7, 446, 7488, 11, 44, 7287, 3927, 2365, 12, 15139, 12, 814, 11, 4492, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 449, 30143, 1933, 12, 3018, 9, 323, 12, 404, 11, 119, 5, 13525, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 13619, 3791, 12, 305, 15603, 2936, 8, 5844, 5, 3794, 7, 2041, 3047, 11, 44, 430, 13965, 777, 12, 3160, 2384, 429, 608, 11, 27730, 305, 10421, 20, 4419, 36321, 313, 2435, 6278, 33229, 12278, 20, 2930, 20, 8630, 896, 1194, 20901, 7, 293, 889, 448, 5791, 20, 12311, 3852, 7, 308, 2384, 8749, 429, 608, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
92,287
18156
[ 5493, 305, 10421, 20, 449, 6918, 1368, 12, 18758, 757, 5, 630, 6158, 11, 44, 449, 6918, 1800, 12, 18758, 757, 5, 1631, 2925, 8, 6158, 11, 44, 4740, 2646, 656, 12, 13205, 27344, 5, 98, 672, 5, 200, 2261, 11, 44, 11711, 5442, 12, 3302, 235, 22124, 8227, 11, 44, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 8738, 1641, 12, 12485, 13323, 3423, 5, 284, 205, 30746, 5, 1069, 11, 44, 3972, 5972, 12, 7039, 5612, 7147, 3633, 8, 26, 30, 19274, 11, 44, 3972, 2537, 1608, 12, 7054, 6916, 3783, 11, 44, 7287, 6332, 12, 3302, 7488, 6351, 11, 44, 17446, 4156, 12, 287, 26939, 20612, 7, 446, 7488, 11, 44, 7287, 3927, 2365, 12, 15139, 12, 814, 11, 4492, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 449, 30143, 1933, 12, 3018, 9, 323, 12, 404, 11, 119, 5, 13525, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 13619, 3791, 12, 305, 15603, 2936, 8, 5844, 5, 3794, 7, 2041, 3047, 11, 44, 430, 13965, 777, 12, 3160, 2384, 429, 608, 11, 27730, 305, 10421, 20, 4419, 2493, 3409, 1799, 18001, 6101, 2571, 3643, 250, 36426, 20, 3157, 2126, 3132, 11210, 31, 2890, 8, 767, 4, 5151, 17, 253, 29, 135, 2074, 2074, 4227, 2591, 26, 13307, 12, 40, 11, 351, 2365, 2074, 2074, 139, 4, 36, 4, 13202, 871, 9241, 40, 194, 6885, 261, 4177, 12564, 479, 40, 4, 12509, 37510, 297, 194, 6885, 261, 4177, 21568, 54, 4, 19504, 1181, 261, 5222, 316, 12, 17480, 15524, 11, 82, 194, 6885, 31097, 20, 2873, 190, 353, 85, 4, 5234, 38396, 19595, 7528, 786, 20570, 297, 194, 6885, 261, 4177, 21568, 82, 4, 17729, 7026, 26495, 4262, 24, 403, 1709, 2591, 4, 9012, 169, 4, 36, 261, 16947, 4731, 5611, 343, 1015, 316, 3118, 116, 4, 17529, 37753, 18900, 9, 15524, 4253, 194, 6885, 261, 4177, 21568, 215, 4, 12673, 11445, 24964, 194, 6885, 261, 4177, 21568, 208, 4, 32502, 17210, 2157, 194, 6885, 1537, 393, 354, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 449, 6918, 1368, 12, 18758, 757, 5, 630, 6158, 11, 44, 449, 6918, 1800, 12, 18758, 757, 5, 1631, 2925, 8, 6158, 11, 44, 4740, 2646, 656, 12, 13205, 27344, 5, 98, 672, 5, 200, 2261, 11, 44, 11711, 5442, 12, 3302, 235, 22124, 8227, 11, 44, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 8738, 1641, 12, 12485, 13323, 3423, 5, 284, 205, 30746, 5, 1069, 11, 44, 3972, 5972, 12, 7039, 5612, 7147, 3633, 8, 26, 30, 19274, 11, 44, 3972, 2537, 1608, 12, 7054, 6916, 3783, 11, 44, 7287, 6332, 12, 3302, 7488, 6351, 11, 44, 17446, 4156, 12, 287, 26939, 20612, 7, 446, 7488, 11, 44, 7287, 3927, 2365, 12, 15139, 12, 814, 11, 4492, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 449, 30143, 1933, 12, 3018, 9, 323, 12, 404, 11, 119, 5, 13525, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 13619, 3791, 12, 305, 15603, 2936, 8, 5844, 5, 3794, 7, 2041, 3047, 11, 44, 430, 13965, 777, 12, 3160, 2384, 429, 608, 11, 27730, 305, 10421, 20, 4419, 2493, 3409, 1799, 18001, 6101, 2571, 3643, 250, 36426, 20, 3157, 2126, 3132, 11210, 31, 2890, 8, 767, 4, 5151, 17, 253, 29, 135, 2074, 2074, 4227, 2591, 26, 13307, 12, 40, 11, 351, 2365, 2074, 2074, 139, 4, 36, 4, 13202, 871, 9241, 40, 194, 6885, 261, 4177, 12564, 479, 40, 4, 12509, 37510, 297, 194, 6885, 261, 4177, 21568, 54, 4, 19504, 1181, 261, 5222, 316, 12, 17480, 15524, 11, 82, 194, 6885, 31097, 20, 2873, 190, 353, 85, 4, 5234, 38396, 19595, 7528, 786, 20570, 297, 194, 6885, 261, 4177, 21568, 82, 4, 17729, 7026, 26495, 4262, 24, 403, 1709, 2591, 4, 9012, 169, 4, 36, 261, 16947, 4731, 5611, 343, 1015, 316, 3118, 116, 4, 17529, 37753, 18900, 9, 15524, 4253, 194, 6885, 261, 4177, 21568, 215, 4, 12673, 11445, 24964, 194, 6885, 261, 4177, 21568, 208, 4, 32502, 17210, 2157, 194, 6885, 1537, 393, 354, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
92,287
18156
[ 5493, 305, 10421, 20, 449, 6918, 1368, 12, 18758, 757, 5, 630, 6158, 11, 44, 449, 6918, 1800, 12, 18758, 757, 5, 1631, 2925, 8, 6158, 11, 44, 4740, 2646, 656, 12, 13205, 27344, 5, 98, 672, 5, 200, 2261, 11, 44, 11711, 5442, 12, 3302, 235, 22124, 8227, 11, 44, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 8738, 1641, 12, 12485, 13323, 3423, 5, 284, 205, 30746, 5, 1069, 11, 44, 3972, 5972, 12, 7039, 5612, 7147, 3633, 8, 26, 30, 19274, 11, 44, 3972, 2537, 1608, 12, 7054, 6916, 3783, 11, 44, 7287, 6332, 12, 3302, 7488, 6351, 11, 44, 17446, 4156, 12, 287, 26939, 20612, 7, 446, 7488, 11, 44, 7287, 3927, 2365, 12, 15139, 12, 814, 11, 4492, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 449, 30143, 1933, 12, 3018, 9, 323, 12, 404, 11, 119, 5, 13525, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 13619, 3791, 12, 305, 15603, 2936, 8, 5844, 5, 3794, 7, 2041, 3047, 11, 44, 430, 13965, 777, 12, 3160, 2384, 429, 608, 11, 27730, 305, 10421, 20, 4419, 36321, 313, 2435, 6278, 3190, 12693, 6567, 18001, 20, 261, 3267, 27623, 4, 135, 2074, 2074, 14910, 2631, 915, 4465, 9059, 1266, 483, 466, 2074, 2074, 139, 7, 1015, 20337, 19, 183, 34, 135, 2074, 2074, 18820, 846, 36, 414, 2074, 2074, 139, 16, 141, 1063, 8, 263, 889, 164, 4, 1015, 218, 141, 1063, 8, 263, 889, 164, 19, 663, 518, 23, 14, 596, 5, 41, 3762, 8, 2914, 27, 1100, 27, 11980, 69, 13, 7, 27, 126, 27, 16312, 4584, 37510, 13140, 4, 521, 60, 3217, 11980, 902, 8, 9669, 16312, 4584, 37510, 7, 16312, 1063, 166, 590, 4, 18726, 1717, 11355, 4917, 16312, 4584, 37510, 7, 61, 34, 14, 200, 228, 4, 6376, 3715, 219, 194, 1873, 98, 262, 1786, 11980, 4120, 16312, 6439, 6364, 8, 235, 177, 8801, 4, 1015, 20337, 282, 2956, 16312, 3207, 228, 25, 286, 7748, 4878, 135, 2074, 2074, 657, 13901, 9, 208, 9, 348, 2074, 2074, 139, 4, 1015, 218, 889, 164, 72, 590, 15, 1224, 5155, 7, 8, 21, 1472, 175, 4, 18726, 1717, 47, 16312, 16815, 12205, 25, 21738, 1716, 262, 135, 2074, 2074, 657, 13901, 9, 208, 9, 91, 2074, 2074, 139, 4, 1015, 20337, 63, 658, 3263, 10, 16312, 16225, 676, 35817, 228, 4, 551, 1472, 7, 11980, 282, 2956, 116, 194, 336, 262, 27, 16312, 16815, 21, 141, 4, 18726, 1717, 11024, 6, 20097, 11210, 2004, 4, 8372, 14703, 1066, 8897, 490, 1873, 7691, 7, 135, 2074, 2074, 299, 10357, 208, 12, 3818, 11, 9616, 2074, 2074, 139, 3818, 598, 375, 19901, 160, 77, 48, 54, 915, 6494, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 449, 6918, 1368, 12, 18758, 757, 5, 630, 6158, 11, 44, 449, 6918, 1800, 12, 18758, 757, 5, 1631, 2925, 8, 6158, 11, 44, 4740, 2646, 656, 12, 13205, 27344, 5, 98, 672, 5, 200, 2261, 11, 44, 11711, 5442, 12, 3302, 235, 22124, 8227, 11, 44, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 8738, 1641, 12, 12485, 13323, 3423, 5, 284, 205, 30746, 5, 1069, 11, 44, 3972, 5972, 12, 7039, 5612, 7147, 3633, 8, 26, 30, 19274, 11, 44, 3972, 2537, 1608, 12, 7054, 6916, 3783, 11, 44, 7287, 6332, 12, 3302, 7488, 6351, 11, 44, 17446, 4156, 12, 287, 26939, 20612, 7, 446, 7488, 11, 44, 7287, 3927, 2365, 12, 15139, 12, 814, 11, 4492, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 449, 30143, 1933, 12, 3018, 9, 323, 12, 404, 11, 119, 5, 13525, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 13619, 3791, 12, 305, 15603, 2936, 8, 5844, 5, 3794, 7, 2041, 3047, 11, 44, 430, 13965, 777, 12, 3160, 2384, 429, 608, 11, 27730, 305, 10421, 20, 4419, 36321, 313, 2435, 6278, 3190, 12693, 6567, 18001, 20, 261, 3267, 27623, 4, 135, 2074, 2074, 14910, 2631, 915, 4465, 9059, 1266, 483, 466, 2074, 2074, 139, 7, 1015, 20337, 19, 183, 34, 135, 2074, 2074, 18820, 846, 36, 414, 2074, 2074, 139, 16, 141, 1063, 8, 263, 889, 164, 4, 1015, 218, 141, 1063, 8, 263, 889, 164, 19, 663, 518, 23, 14, 596, 5, 41, 3762, 8, 2914, 27, 1100, 27, 11980, 69, 13, 7, 27, 126, 27, 16312, 4584, 37510, 13140, 4, 521, 60, 3217, 11980, 902, 8, 9669, 16312, 4584, 37510, 7, 16312, 1063, 166, 590, 4, 18726, 1717, 11355, 4917, 16312, 4584, 37510, 7, 61, 34, 14, 200, 228, 4, 6376, 3715, 219, 194, 1873, 98, 262, 1786, 11980, 4120, 16312, 6439, 6364, 8, 235, 177, 8801, 4, 1015, 20337, 282, 2956, 16312, 3207, 228, 25, 286, 7748, 4878, 135, 2074, 2074, 657, 13901, 9, 208, 9, 348, 2074, 2074, 139, 4, 1015, 218, 889, 164, 72, 590, 15, 1224, 5155, 7, 8, 21, 1472, 175, 4, 18726, 1717, 47, 16312, 16815, 12205, 25, 21738, 1716, 262, 135, 2074, 2074, 657, 13901, 9, 208, 9, 91, 2074, 2074, 139, 4, 1015, 20337, 63, 658, 3263, 10, 16312, 16225, 676, 35817, 228, 4, 551, 1472, 7, 11980, 282, 2956, 116, 194, 336, 262, 27, 16312, 16815, 21, 141, 4, 18726, 1717, 11024, 6, 20097, 11210, 2004, 4, 8372, 14703, 1066, 8897, 490, 1873, 7691, 7, 135, 2074, 2074, 299, 10357, 208, 12, 3818, 11, 9616, 2074, 2074, 139, 3818, 598, 375, 19901, 160, 77, 48, 54, 915, 6494, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
92,287
18156
[ 5493, 305, 10421, 20, 449, 6918, 1368, 12, 18758, 757, 5, 630, 6158, 11, 44, 449, 6918, 1800, 12, 18758, 757, 5, 1631, 2925, 8, 6158, 11, 44, 4740, 2646, 656, 12, 13205, 27344, 5, 98, 672, 5, 200, 2261, 11, 44, 11711, 5442, 12, 3302, 235, 22124, 8227, 11, 44, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 8738, 1641, 12, 12485, 13323, 3423, 5, 284, 205, 30746, 5, 1069, 11, 44, 3972, 5972, 12, 7039, 5612, 7147, 3633, 8, 26, 30, 19274, 11, 44, 3972, 2537, 1608, 12, 7054, 6916, 3783, 11, 44, 7287, 6332, 12, 3302, 7488, 6351, 11, 44, 17446, 4156, 12, 287, 26939, 20612, 7, 446, 7488, 11, 44, 7287, 3927, 2365, 12, 15139, 12, 814, 11, 4492, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 449, 30143, 1933, 12, 3018, 9, 323, 12, 404, 11, 119, 5, 13525, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 13619, 3791, 12, 305, 15603, 2936, 8, 5844, 5, 3794, 7, 2041, 3047, 11, 44, 430, 13965, 777, 12, 3160, 2384, 429, 608, 11, 27730, 305, 10421, 20, 4419, 28897, 30158, 20, 135, 2074, 2074, 657, 13901, 9, 208, 9, 208, 2074, 2074, 139, 8559, 20, 1266, 3332, 230, 5783, 10097, 12021, 9, 10044, 7074, 9, 34841, 2074, 15850, 787, 9, 6086, 2074, 313, 23487, 9, 25630, 2074, 27484, 9, 2608, 25159, 9, 34484, 286, 21765, 9, 678, 3575, 29215, 9, 17239, 4752, 527, 305, 527, 9, 19101, 135, 2074, 2074, 657, 13901, 9, 208, 9, 208, 2074, 2074, 139, 8559, 20, 1266, 3332, 230, 5783, 10097, 9517, 9, 2404, 16432, 806, 190, 9, 479, 9261, 34, 9, 3351, 1491, 9, 10132, 473, 9, 4499, 2989, 9, 2608, 21967, 9, 1031, 1955, 31453, 9, 400, 135, 2074, 2074, 657, 13901, 9, 208, 9, 208, 2074, 2074, 139, 8559, 20, 1266, 3332, 230, 5783, 10097, 9039, 9, 5165, 17497, 279, 9, 4556, 4901, 9, 3078, 135, 2074, 2074, 657, 13901, 9, 208, 9, 208, 2074, 2074, 139, 8559, 20, 1266, 3332, 230, 5783, 10097, 3523, 9, 18680, 2074, 20340, 9, 29456, 16815, 12, 3523, 11, 185, 3087, 2074, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 449, 6918, 1368, 12, 18758, 757, 5, 630, 6158, 11, 44, 449, 6918, 1800, 12, 18758, 757, 5, 1631, 2925, 8, 6158, 11, 44, 4740, 2646, 656, 12, 13205, 27344, 5, 98, 672, 5, 200, 2261, 11, 44, 11711, 5442, 12, 3302, 235, 22124, 8227, 11, 44, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 8738, 1641, 12, 12485, 13323, 3423, 5, 284, 205, 30746, 5, 1069, 11, 44, 3972, 5972, 12, 7039, 5612, 7147, 3633, 8, 26, 30, 19274, 11, 44, 3972, 2537, 1608, 12, 7054, 6916, 3783, 11, 44, 7287, 6332, 12, 3302, 7488, 6351, 11, 44, 17446, 4156, 12, 287, 26939, 20612, 7, 446, 7488, 11, 44, 7287, 3927, 2365, 12, 15139, 12, 814, 11, 4492, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 449, 30143, 1933, 12, 3018, 9, 323, 12, 404, 11, 119, 5, 13525, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 13619, 3791, 12, 305, 15603, 2936, 8, 5844, 5, 3794, 7, 2041, 3047, 11, 44, 430, 13965, 777, 12, 3160, 2384, 429, 608, 11, 27730, 305, 10421, 20, 4419, 28897, 30158, 20, 135, 2074, 2074, 657, 13901, 9, 208, 9, 208, 2074, 2074, 139, 8559, 20, 1266, 3332, 230, 5783, 10097, 12021, 9, 10044, 7074, 9, 34841, 2074, 15850, 787, 9, 6086, 2074, 313, 23487, 9, 25630, 2074, 27484, 9, 2608, 25159, 9, 34484, 286, 21765, 9, 678, 3575, 29215, 9, 17239, 4752, 527, 305, 527, 9, 19101, 135, 2074, 2074, 657, 13901, 9, 208, 9, 208, 2074, 2074, 139, 8559, 20, 1266, 3332, 230, 5783, 10097, 9517, 9, 2404, 16432, 806, 190, 9, 479, 9261, 34, 9, 3351, 1491, 9, 10132, 473, 9, 4499, 2989, 9, 2608, 21967, 9, 1031, 1955, 31453, 9, 400, 135, 2074, 2074, 657, 13901, 9, 208, 9, 208, 2074, 2074, 139, 8559, 20, 1266, 3332, 230, 5783, 10097, 9039, 9, 5165, 17497, 279, 9, 4556, 4901, 9, 3078, 135, 2074, 2074, 657, 13901, 9, 208, 9, 208, 2074, 2074, 139, 8559, 20, 1266, 3332, 230, 5783, 10097, 3523, 9, 18680, 2074, 20340, 9, 29456, 16815, 12, 3523, 11, 185, 3087, 2074, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
92,287
18156
[ 5493, 305, 10421, 20, 449, 6918, 1368, 12, 18758, 757, 5, 630, 6158, 11, 44, 449, 6918, 1800, 12, 18758, 757, 5, 1631, 2925, 8, 6158, 11, 44, 4740, 2646, 656, 12, 13205, 27344, 5, 98, 672, 5, 200, 2261, 11, 44, 11711, 5442, 12, 3302, 235, 22124, 8227, 11, 44, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 8738, 1641, 12, 12485, 13323, 3423, 5, 284, 205, 30746, 5, 1069, 11, 44, 3972, 5972, 12, 7039, 5612, 7147, 3633, 8, 26, 30, 19274, 11, 44, 3972, 2537, 1608, 12, 7054, 6916, 3783, 11, 44, 7287, 6332, 12, 3302, 7488, 6351, 11, 44, 17446, 4156, 12, 287, 26939, 20612, 7, 446, 7488, 11, 44, 7287, 3927, 2365, 12, 15139, 12, 814, 11, 4492, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 449, 30143, 1933, 12, 3018, 9, 323, 12, 404, 11, 119, 5, 13525, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 13619, 3791, 12, 305, 15603, 2936, 8, 5844, 5, 3794, 7, 2041, 3047, 11, 44, 430, 13965, 777, 12, 3160, 2384, 429, 608, 11, 27730, 305, 10421, 20, 4419, 4079, 1015, 2807, 15592, 10452, 3332, 20, 2571, 27530, 10452, 3332, 20, 5792, 20, 1875, 13183, 7, 5281, 7, 102, 293, 3194, 4703, 17772, 20, 23130, 14, 776, 1356, 18021, 7, 4687, 326, 7, 27936, 1588, 7, 19111, 3208, 7, 16755, 14644, 17482, 20, 9609, 10114, 7, 964, 9310, 41, 951, 7, 102, 13864, 4164, 20, 22867, 134, 8, 4523, 7, 175, 3729, 51, 4844, 7, 102, 27610, 11544, 7, 4368, 6494, 7, 15654, 13440, 237, 446, 9444, 20, 25751, 13, 806, 25503, 9162, 11139, 7, 102, 24979, 768, 12151, 7, 825, 9545, 7, 825, 16921, 390, 39296, 1598, 20, 2095, 7, 155, 9, 20842, 7, 155, 9, 8740, 7129, 7, 2354, 11377, 143, 7, 102, 7480, 17921, 31653, 20, 102, 9331, 15473, 2628, 527, 20, 9366, 7, 40, 51, 6189, 7, 102, 31860, 15961, 7, 279, 26, 110, 4933, 1167, 35908, 5, 491, 1932, 15955, 7, 1631, 19351, 6057, 15, 416, 12446, 234, 11139, 34942, 20, 3828, 272, 9, 23805, 1721, 7, 82, 26, 82, 1302, 1349, 26, 200, 8154, 7, 22333, 175, 9646, 7, 40, 51, 11727, 11139, 7, 4633, 978, 29035, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 449, 6918, 1368, 12, 18758, 757, 5, 630, 6158, 11, 44, 449, 6918, 1800, 12, 18758, 757, 5, 1631, 2925, 8, 6158, 11, 44, 4740, 2646, 656, 12, 13205, 27344, 5, 98, 672, 5, 200, 2261, 11, 44, 11711, 5442, 12, 3302, 235, 22124, 8227, 11, 44, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 8738, 1641, 12, 12485, 13323, 3423, 5, 284, 205, 30746, 5, 1069, 11, 44, 3972, 5972, 12, 7039, 5612, 7147, 3633, 8, 26, 30, 19274, 11, 44, 3972, 2537, 1608, 12, 7054, 6916, 3783, 11, 44, 7287, 6332, 12, 3302, 7488, 6351, 11, 44, 17446, 4156, 12, 287, 26939, 20612, 7, 446, 7488, 11, 44, 7287, 3927, 2365, 12, 15139, 12, 814, 11, 4492, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 449, 30143, 1933, 12, 3018, 9, 323, 12, 404, 11, 119, 5, 13525, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 13619, 3791, 12, 305, 15603, 2936, 8, 5844, 5, 3794, 7, 2041, 3047, 11, 44, 430, 13965, 777, 12, 3160, 2384, 429, 608, 11, 27730, 305, 10421, 20, 4419, 4079, 1015, 2807, 15592, 10452, 3332, 20, 2571, 27530, 10452, 3332, 20, 5792, 20, 1875, 13183, 7, 5281, 7, 102, 293, 3194, 4703, 17772, 20, 23130, 14, 776, 1356, 18021, 7, 4687, 326, 7, 27936, 1588, 7, 19111, 3208, 7, 16755, 14644, 17482, 20, 9609, 10114, 7, 964, 9310, 41, 951, 7, 102, 13864, 4164, 20, 22867, 134, 8, 4523, 7, 175, 3729, 51, 4844, 7, 102, 27610, 11544, 7, 4368, 6494, 7, 15654, 13440, 237, 446, 9444, 20, 25751, 13, 806, 25503, 9162, 11139, 7, 102, 24979, 768, 12151, 7, 825, 9545, 7, 825, 16921, 390, 39296, 1598, 20, 2095, 7, 155, 9, 20842, 7, 155, 9, 8740, 7129, 7, 2354, 11377, 143, 7, 102, 7480, 17921, 31653, 20, 102, 9331, 15473, 2628, 527, 20, 9366, 7, 40, 51, 6189, 7, 102, 31860, 15961, 7, 279, 26, 110, 4933, 1167, 35908, 5, 491, 1932, 15955, 7, 1631, 19351, 6057, 15, 416, 12446, 234, 11139, 34942, 20, 3828, 272, 9, 23805, 1721, 7, 82, 26, 82, 1302, 1349, 26, 200, 8154, 7, 22333, 175, 9646, 7, 40, 51, 11727, 11139, 7, 4633, 978, 29035, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
92,287
18156
[ 5493, 305, 10421, 20, 449, 6918, 1368, 12, 18758, 757, 5, 630, 6158, 11, 44, 449, 6918, 1800, 12, 18758, 757, 5, 1631, 2925, 8, 6158, 11, 44, 4740, 2646, 656, 12, 13205, 27344, 5, 98, 672, 5, 200, 2261, 11, 44, 11711, 5442, 12, 3302, 235, 22124, 8227, 11, 44, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 8738, 1641, 12, 12485, 13323, 3423, 5, 284, 205, 30746, 5, 1069, 11, 44, 3972, 5972, 12, 7039, 5612, 7147, 3633, 8, 26, 30, 19274, 11, 44, 3972, 2537, 1608, 12, 7054, 6916, 3783, 11, 44, 7287, 6332, 12, 3302, 7488, 6351, 11, 44, 17446, 4156, 12, 287, 26939, 20612, 7, 446, 7488, 11, 44, 7287, 3927, 2365, 12, 15139, 12, 814, 11, 4492, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 449, 30143, 1933, 12, 3018, 9, 323, 12, 404, 11, 119, 5, 13525, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 13619, 3791, 12, 305, 15603, 2936, 8, 5844, 5, 3794, 7, 2041, 3047, 11, 44, 430, 13965, 777, 12, 3160, 2384, 429, 608, 11, 27730, 305, 10421, 20, 4419, 28897, 14226, 20, 9987, 20, 482, 6692, 7940, 26, 1926, 359, 414, 2001, 24, 1714, 273, 1598, 20, 11714, 7, 14757, 7, 3146, 36707, 18061, 10, 16315, 7, 7153, 4703, 17772, 20, 30512, 776, 1356, 18021, 7, 4687, 326, 4164, 20, 269, 2681, 237, 446, 9444, 20, 3143, 4765, 7, 102, 24979, 768, 12151, 26, 825, 9545, 26, 4999, 16921, 390, 5674, 636, 20, 2354, 11377, 143, 7, 2095, 7, 4476, 7, 5699, 2628, 527, 20, 1844, 25121, 3237, 7, 1631, 19351, 163, 7, 10295, 31929, 10, 4437, 12882, 1894, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 449, 6918, 1368, 12, 18758, 757, 5, 630, 6158, 11, 44, 449, 6918, 1800, 12, 18758, 757, 5, 1631, 2925, 8, 6158, 11, 44, 4740, 2646, 656, 12, 13205, 27344, 5, 98, 672, 5, 200, 2261, 11, 44, 11711, 5442, 12, 3302, 235, 22124, 8227, 11, 44, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 8738, 1641, 12, 12485, 13323, 3423, 5, 284, 205, 30746, 5, 1069, 11, 44, 3972, 5972, 12, 7039, 5612, 7147, 3633, 8, 26, 30, 19274, 11, 44, 3972, 2537, 1608, 12, 7054, 6916, 3783, 11, 44, 7287, 6332, 12, 3302, 7488, 6351, 11, 44, 17446, 4156, 12, 287, 26939, 20612, 7, 446, 7488, 11, 44, 7287, 3927, 2365, 12, 15139, 12, 814, 11, 4492, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 449, 30143, 1933, 12, 3018, 9, 323, 12, 404, 11, 119, 5, 13525, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 13619, 3791, 12, 305, 15603, 2936, 8, 5844, 5, 3794, 7, 2041, 3047, 11, 44, 430, 13965, 777, 12, 3160, 2384, 429, 608, 11, 27730, 305, 10421, 20, 4419, 28897, 14226, 20, 9987, 20, 482, 6692, 7940, 26, 1926, 359, 414, 2001, 24, 1714, 273, 1598, 20, 11714, 7, 14757, 7, 3146, 36707, 18061, 10, 16315, 7, 7153, 4703, 17772, 20, 30512, 776, 1356, 18021, 7, 4687, 326, 4164, 20, 269, 2681, 237, 446, 9444, 20, 3143, 4765, 7, 102, 24979, 768, 12151, 26, 825, 9545, 26, 4999, 16921, 390, 5674, 636, 20, 2354, 11377, 143, 7, 2095, 7, 4476, 7, 5699, 2628, 527, 20, 1844, 25121, 3237, 7, 1631, 19351, 163, 7, 10295, 31929, 10, 4437, 12882, 1894, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
92,287
18156
[ 5493, 305, 10421, 20, 449, 6918, 1368, 12, 18758, 757, 5, 630, 6158, 11, 44, 449, 6918, 1800, 12, 18758, 757, 5, 1631, 2925, 8, 6158, 11, 44, 4740, 2646, 656, 12, 13205, 27344, 5, 98, 672, 5, 200, 2261, 11, 44, 11711, 5442, 12, 3302, 235, 22124, 8227, 11, 44, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 8738, 1641, 12, 12485, 13323, 3423, 5, 284, 205, 30746, 5, 1069, 11, 44, 3972, 5972, 12, 7039, 5612, 7147, 3633, 8, 26, 30, 19274, 11, 44, 3972, 2537, 1608, 12, 7054, 6916, 3783, 11, 44, 7287, 6332, 12, 3302, 7488, 6351, 11, 44, 17446, 4156, 12, 287, 26939, 20612, 7, 446, 7488, 11, 44, 7287, 3927, 2365, 12, 15139, 12, 814, 11, 4492, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 449, 30143, 1933, 12, 3018, 9, 323, 12, 404, 11, 119, 5, 13525, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 13619, 3791, 12, 305, 15603, 2936, 8, 5844, 5, 3794, 7, 2041, 3047, 11, 44, 430, 13965, 777, 12, 3160, 2384, 429, 608, 11, 27730, 305, 10421, 20, 4419, 24755, 6267, 1857, 20, 185, 7779, 7, 437, 7, 8, 1072, 389, 9, 160, 4, 185, 24235, 1706, 26, 1828, 15, 9760, 1040, 4584, 37510, 4736, 46, 17, 263, 13, 1873, 98, 262, 4, 4201, 282, 33, 330, 16, 188, 2961, 19136, 598, 57, 697, 14656, 10, 3373, 4, 185, 4201, 282, 389, 160, 15, 2391, 9760, 8, 17588, 1040, 10034, 5, 2391, 18882, 8, 15313, 16, 134, 115, 4, 185, 13202, 871, 9241, 88, 13, 393, 194, 34, 1953, 27, 2391, 16815, 17, 3087, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 449, 6918, 1368, 12, 18758, 757, 5, 630, 6158, 11, 44, 449, 6918, 1800, 12, 18758, 757, 5, 1631, 2925, 8, 6158, 11, 44, 4740, 2646, 656, 12, 13205, 27344, 5, 98, 672, 5, 200, 2261, 11, 44, 11711, 5442, 12, 3302, 235, 22124, 8227, 11, 44, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 8738, 1641, 12, 12485, 13323, 3423, 5, 284, 205, 30746, 5, 1069, 11, 44, 3972, 5972, 12, 7039, 5612, 7147, 3633, 8, 26, 30, 19274, 11, 44, 3972, 2537, 1608, 12, 7054, 6916, 3783, 11, 44, 7287, 6332, 12, 3302, 7488, 6351, 11, 44, 17446, 4156, 12, 287, 26939, 20612, 7, 446, 7488, 11, 44, 7287, 3927, 2365, 12, 15139, 12, 814, 11, 4492, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 449, 30143, 1933, 12, 3018, 9, 323, 12, 404, 11, 119, 5, 13525, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 13619, 3791, 12, 305, 15603, 2936, 8, 5844, 5, 3794, 7, 2041, 3047, 11, 44, 430, 13965, 777, 12, 3160, 2384, 429, 608, 11, 27730, 305, 10421, 20, 4419, 24755, 6267, 1857, 20, 185, 7779, 7, 437, 7, 8, 1072, 389, 9, 160, 4, 185, 24235, 1706, 26, 1828, 15, 9760, 1040, 4584, 37510, 4736, 46, 17, 263, 13, 1873, 98, 262, 4, 4201, 282, 33, 330, 16, 188, 2961, 19136, 598, 57, 697, 14656, 10, 3373, 4, 185, 4201, 282, 389, 160, 15, 2391, 9760, 8, 17588, 1040, 10034, 5, 2391, 18882, 8, 15313, 16, 134, 115, 4, 185, 13202, 871, 9241, 88, 13, 393, 194, 34, 1953, 27, 2391, 16815, 17, 3087, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
92,287
18156
[ 5493, 305, 10421, 20, 449, 6918, 1368, 12, 18758, 757, 5, 630, 6158, 11, 44, 449, 6918, 1800, 12, 18758, 757, 5, 1631, 2925, 8, 6158, 11, 44, 4740, 2646, 656, 12, 13205, 27344, 5, 98, 672, 5, 200, 2261, 11, 44, 11711, 5442, 12, 3302, 235, 22124, 8227, 11, 44, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 8738, 1641, 12, 12485, 13323, 3423, 5, 284, 205, 30746, 5, 1069, 11, 44, 3972, 5972, 12, 7039, 5612, 7147, 3633, 8, 26, 30, 19274, 11, 44, 3972, 2537, 1608, 12, 7054, 6916, 3783, 11, 44, 7287, 6332, 12, 3302, 7488, 6351, 11, 44, 17446, 4156, 12, 287, 26939, 20612, 7, 446, 7488, 11, 44, 7287, 3927, 2365, 12, 15139, 12, 814, 11, 4492, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 449, 30143, 1933, 12, 3018, 9, 323, 12, 404, 11, 119, 5, 13525, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 13619, 3791, 12, 305, 15603, 2936, 8, 5844, 5, 3794, 7, 2041, 3047, 11, 44, 430, 13965, 777, 12, 3160, 2384, 429, 608, 11, 27730, 305, 10421, 20, 4419, 2550, 453, 4395, 17081, 2817, 388, 30521, 20, 8372, 806, 23807, 8, 3213, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 449, 6918, 1368, 12, 18758, 757, 5, 630, 6158, 11, 44, 449, 6918, 1800, 12, 18758, 757, 5, 1631, 2925, 8, 6158, 11, 44, 4740, 2646, 656, 12, 13205, 27344, 5, 98, 672, 5, 200, 2261, 11, 44, 11711, 5442, 12, 3302, 235, 22124, 8227, 11, 44, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 8738, 1641, 12, 12485, 13323, 3423, 5, 284, 205, 30746, 5, 1069, 11, 44, 3972, 5972, 12, 7039, 5612, 7147, 3633, 8, 26, 30, 19274, 11, 44, 3972, 2537, 1608, 12, 7054, 6916, 3783, 11, 44, 7287, 6332, 12, 3302, 7488, 6351, 11, 44, 17446, 4156, 12, 287, 26939, 20612, 7, 446, 7488, 11, 44, 7287, 3927, 2365, 12, 15139, 12, 814, 11, 4492, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 449, 30143, 1933, 12, 3018, 9, 323, 12, 404, 11, 119, 5, 13525, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 13619, 3791, 12, 305, 15603, 2936, 8, 5844, 5, 3794, 7, 2041, 3047, 11, 44, 430, 13965, 777, 12, 3160, 2384, 429, 608, 11, 27730, 305, 10421, 20, 4419, 2550, 453, 4395, 17081, 2817, 388, 30521, 20, 8372, 806, 23807, 8, 3213, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
92,287
18156
[ 5493, 305, 10421, 20, 449, 6918, 1368, 12, 18758, 757, 5, 630, 6158, 11, 44, 449, 6918, 1800, 12, 18758, 757, 5, 1631, 2925, 8, 6158, 11, 44, 4740, 2646, 656, 12, 13205, 27344, 5, 98, 672, 5, 200, 2261, 11, 44, 11711, 5442, 12, 3302, 235, 22124, 8227, 11, 44, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 8738, 1641, 12, 12485, 13323, 3423, 5, 284, 205, 30746, 5, 1069, 11, 44, 3972, 5972, 12, 7039, 5612, 7147, 3633, 8, 26, 30, 19274, 11, 44, 3972, 2537, 1608, 12, 7054, 6916, 3783, 11, 44, 7287, 6332, 12, 3302, 7488, 6351, 11, 44, 17446, 4156, 12, 287, 26939, 20612, 7, 446, 7488, 11, 44, 7287, 3927, 2365, 12, 15139, 12, 814, 11, 4492, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 449, 30143, 1933, 12, 3018, 9, 323, 12, 404, 11, 119, 5, 13525, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 13619, 3791, 12, 305, 15603, 2936, 8, 5844, 5, 3794, 7, 2041, 3047, 11, 44, 430, 13965, 777, 12, 3160, 2384, 429, 608, 11, 27730, 305, 10421, 20, 4419, 5641, 2047, 4024, 1341, 2568, 11415, 3768, 4476, 453, 7219, 5265, 1961, 20, 11503, 326, 2729, 26, 341, 676, 696, 543, 8713, 12, 1337, 4395, 1368, 9, 504, 24, 11, 7, 3033, 12331, 7, 951, 20365, 4173, 7, 308, 7044, 5682, 12, 736, 2126, 16, 24173, 25, 135, 2074, 2074, 116, 9, 400, 2074, 2074, 139, 11, 7, 696, 543, 5, 2337, 8, 1779, 7178, 7, 471, 13, 2333, 7993, 16, 526, 26, 715, 4, 7435, 67, 696, 543, 5, 406, 8239, 20097, 8, 526, 26, 1002, 30158, 19, 5620, 7993, 4, 16293, 20480, 5340, 2278, 915, 6494, 192, 6, 1694, 972, 4, 7435, 1568, 4503, 6916, 4890, 8, 67, 1909, 308, 7044, 34199, 12, 22392, 17, 724, 10, 647, 2333, 2530, 947, 13, 593, 1512, 18078, 8, 17, 4124, 25, 458, 8586, 21279, 11, 4, 1719, 29035, 13, 2448, 244, 13, 19274, 26, 135, 2074, 2074, 30760, 299, 11142, 12, 12718, 11, 2074, 2074, 139, 95, 25, 30158, 4, 943, 1689, 13, 6, 1791, 4469, 6, 125, 1238, 22, 3878, 57, 67, 13510, 33486, 29964, 5, 6996, 7, 1238, 102, 367, 34, 2658, 4, 4201, 4411, 3045, 2268, 353, 34, 420, 877, 4, 4201, 1238, 22, 244, 13, 4675, 3878, 696, 1344, 169, 10620, 7987, 420, 353, 10, 2391, 3794, 5514, 61, 30848, 744, 22, 298, 31, 90, 77, 28570, 8, 16521, 77, 902, 4, 2318, 3878, 1238, 22, 3878, 57, 41, 1387, 420, 5, 2391, 13739, 7306, 787, 3132, 16, 408, 217, 4, 37, 6, 2448, 2391, 682, 11058, 2306, 19, 482, 6086, 5507, 791, 26, 1608, 414, 359, 4, 480, 343, 26746, 111, 3033, 12331, 8580, 7462, 7, 3272, 7, 1307, 1978, 1171, 978, 110, 663, 4348, 5572, 36156, 4, 102, 26647, 4, 4201, 3571, 38919, 24278, 3819, 8, 17, 11355, 1162, 2159, 25, 2391, 4147, 7662, 31216, 8, 15313, 4, 5678, 11954, 17, 5488, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 449, 6918, 1368, 12, 18758, 757, 5, 630, 6158, 11, 44, 449, 6918, 1800, 12, 18758, 757, 5, 1631, 2925, 8, 6158, 11, 44, 4740, 2646, 656, 12, 13205, 27344, 5, 98, 672, 5, 200, 2261, 11, 44, 11711, 5442, 12, 3302, 235, 22124, 8227, 11, 44, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 8738, 1641, 12, 12485, 13323, 3423, 5, 284, 205, 30746, 5, 1069, 11, 44, 3972, 5972, 12, 7039, 5612, 7147, 3633, 8, 26, 30, 19274, 11, 44, 3972, 2537, 1608, 12, 7054, 6916, 3783, 11, 44, 7287, 6332, 12, 3302, 7488, 6351, 11, 44, 17446, 4156, 12, 287, 26939, 20612, 7, 446, 7488, 11, 44, 7287, 3927, 2365, 12, 15139, 12, 814, 11, 4492, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 449, 30143, 1933, 12, 3018, 9, 323, 12, 404, 11, 119, 5, 13525, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 13619, 3791, 12, 305, 15603, 2936, 8, 5844, 5, 3794, 7, 2041, 3047, 11, 44, 430, 13965, 777, 12, 3160, 2384, 429, 608, 11, 27730, 305, 10421, 20, 4419, 5641, 2047, 4024, 1341, 2568, 11415, 3768, 4476, 453, 7219, 5265, 1961, 20, 11503, 326, 2729, 26, 341, 676, 696, 543, 8713, 12, 1337, 4395, 1368, 9, 504, 24, 11, 7, 3033, 12331, 7, 951, 20365, 4173, 7, 308, 7044, 5682, 12, 736, 2126, 16, 24173, 25, 135, 2074, 2074, 116, 9, 400, 2074, 2074, 139, 11, 7, 696, 543, 5, 2337, 8, 1779, 7178, 7, 471, 13, 2333, 7993, 16, 526, 26, 715, 4, 7435, 67, 696, 543, 5, 406, 8239, 20097, 8, 526, 26, 1002, 30158, 19, 5620, 7993, 4, 16293, 20480, 5340, 2278, 915, 6494, 192, 6, 1694, 972, 4, 7435, 1568, 4503, 6916, 4890, 8, 67, 1909, 308, 7044, 34199, 12, 22392, 17, 724, 10, 647, 2333, 2530, 947, 13, 593, 1512, 18078, 8, 17, 4124, 25, 458, 8586, 21279, 11, 4, 1719, 29035, 13, 2448, 244, 13, 19274, 26, 135, 2074, 2074, 30760, 299, 11142, 12, 12718, 11, 2074, 2074, 139, 95, 25, 30158, 4, 943, 1689, 13, 6, 1791, 4469, 6, 125, 1238, 22, 3878, 57, 67, 13510, 33486, 29964, 5, 6996, 7, 1238, 102, 367, 34, 2658, 4, 4201, 4411, 3045, 2268, 353, 34, 420, 877, 4, 4201, 1238, 22, 244, 13, 4675, 3878, 696, 1344, 169, 10620, 7987, 420, 353, 10, 2391, 3794, 5514, 61, 30848, 744, 22, 298, 31, 90, 77, 28570, 8, 16521, 77, 902, 4, 2318, 3878, 1238, 22, 3878, 57, 41, 1387, 420, 5, 2391, 13739, 7306, 787, 3132, 16, 408, 217, 4, 37, 6, 2448, 2391, 682, 11058, 2306, 19, 482, 6086, 5507, 791, 26, 1608, 414, 359, 4, 480, 343, 26746, 111, 3033, 12331, 8580, 7462, 7, 3272, 7, 1307, 1978, 1171, 978, 110, 663, 4348, 5572, 36156, 4, 102, 26647, 4, 4201, 3571, 38919, 24278, 3819, 8, 17, 11355, 1162, 2159, 25, 2391, 4147, 7662, 31216, 8, 15313, 4, 5678, 11954, 17, 5488, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
92,287
18156
[ 5493, 305, 10421, 20, 449, 6918, 1368, 12, 18758, 757, 5, 630, 6158, 11, 44, 449, 6918, 1800, 12, 18758, 757, 5, 1631, 2925, 8, 6158, 11, 44, 4740, 2646, 656, 12, 13205, 27344, 5, 98, 672, 5, 200, 2261, 11, 44, 11711, 5442, 12, 3302, 235, 22124, 8227, 11, 44, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 8738, 1641, 12, 12485, 13323, 3423, 5, 284, 205, 30746, 5, 1069, 11, 44, 3972, 5972, 12, 7039, 5612, 7147, 3633, 8, 26, 30, 19274, 11, 44, 3972, 2537, 1608, 12, 7054, 6916, 3783, 11, 44, 7287, 6332, 12, 3302, 7488, 6351, 11, 44, 17446, 4156, 12, 287, 26939, 20612, 7, 446, 7488, 11, 44, 7287, 3927, 2365, 12, 15139, 12, 814, 11, 4492, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 449, 30143, 1933, 12, 3018, 9, 323, 12, 404, 11, 119, 5, 13525, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 13619, 3791, 12, 305, 15603, 2936, 8, 5844, 5, 3794, 7, 2041, 3047, 11, 44, 430, 13965, 777, 12, 3160, 2384, 429, 608, 11, 27730, 305, 10421, 20, 4419, 39377, 17369, 1510, 20, 25751, 8, 9879, 4, 6915, 5, 2499, 19972, 15013, 20, 1875, 13183, 8, 8219, 4, 5105, 11461, 20, 23171, 81, 1571, 7909, 30, 3482, 12, 13375, 4054, 30, 34816, 11, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 449, 6918, 1368, 12, 18758, 757, 5, 630, 6158, 11, 44, 449, 6918, 1800, 12, 18758, 757, 5, 1631, 2925, 8, 6158, 11, 44, 4740, 2646, 656, 12, 13205, 27344, 5, 98, 672, 5, 200, 2261, 11, 44, 11711, 5442, 12, 3302, 235, 22124, 8227, 11, 44, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 8738, 1641, 12, 12485, 13323, 3423, 5, 284, 205, 30746, 5, 1069, 11, 44, 3972, 5972, 12, 7039, 5612, 7147, 3633, 8, 26, 30, 19274, 11, 44, 3972, 2537, 1608, 12, 7054, 6916, 3783, 11, 44, 7287, 6332, 12, 3302, 7488, 6351, 11, 44, 17446, 4156, 12, 287, 26939, 20612, 7, 446, 7488, 11, 44, 7287, 3927, 2365, 12, 15139, 12, 814, 11, 4492, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 449, 30143, 1933, 12, 3018, 9, 323, 12, 404, 11, 119, 5, 13525, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 13619, 3791, 12, 305, 15603, 2936, 8, 5844, 5, 3794, 7, 2041, 3047, 11, 44, 430, 13965, 777, 12, 3160, 2384, 429, 608, 11, 27730, 305, 10421, 20, 4419, 39377, 17369, 1510, 20, 25751, 8, 9879, 4, 6915, 5, 2499, 19972, 15013, 20, 1875, 13183, 8, 8219, 4, 5105, 11461, 20, 23171, 81, 1571, 7909, 30, 3482, 12, 13375, 4054, 30, 34816, 11, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
92,287
18156
[ 5493, 305, 10421, 20, 449, 6918, 1368, 12, 18758, 757, 5, 630, 6158, 11, 44, 449, 6918, 1800, 12, 18758, 757, 5, 1631, 2925, 8, 6158, 11, 44, 4740, 2646, 656, 12, 13205, 27344, 5, 98, 672, 5, 200, 2261, 11, 44, 11711, 5442, 12, 3302, 235, 22124, 8227, 11, 44, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 8738, 1641, 12, 12485, 13323, 3423, 5, 284, 205, 30746, 5, 1069, 11, 44, 3972, 5972, 12, 7039, 5612, 7147, 3633, 8, 26, 30, 19274, 11, 44, 3972, 2537, 1608, 12, 7054, 6916, 3783, 11, 44, 7287, 6332, 12, 3302, 7488, 6351, 11, 44, 17446, 4156, 12, 287, 26939, 20612, 7, 446, 7488, 11, 44, 7287, 3927, 2365, 12, 15139, 12, 814, 11, 4492, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 449, 30143, 1933, 12, 3018, 9, 323, 12, 404, 11, 119, 5, 13525, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 13619, 3791, 12, 305, 15603, 2936, 8, 5844, 5, 3794, 7, 2041, 3047, 11, 44, 430, 13965, 777, 12, 3160, 2384, 429, 608, 11, 27730, 305, 10421, 20, 4419, 25060, 425, 757, 20, 28953, 3409, 2685, 5641, 2047, 4024, 1341, 20, 81, 388, 7306, 787, 81, 1686, 159, 70, 2126, 135, 2074, 2074, 4235, 26, 657, 13564, 2074, 2074, 139, 44, 682, 16006, 4164, 30509, 244, 13, 491, 1779, 7178, 44, 279, 26, 110, 261, 3864, 615, 135, 2074, 2074, 657, 13564, 9, 85, 9, 402, 2074, 2074, 139, 4, 81, 21666, 8713, 26, 362, 1664, 7288, 4948, 81, 2406, 244, 13, 16129, 13294, 4, 1904, 4395, 466, 24, 12, 135, 2074, 2074, 4221, 26, 657, 13564, 2074, 2074, 139, 11, 81, 29047, 12, 1686, 25, 16006, 11, 81, 24029, 3302, 25060, 17246, 20, 81, 5921, 12735, 507, 12, 1686, 25, 621, 135, 2074, 2074, 4235, 26, 657, 13564, 2074, 2074, 139, 11, 81, 8572, 81, 283, 26, 110, 5838, 1051, 7, 22392, 2248, 3283, 912, 5, 1994, 11377, 423, 19134, 8, 407, 826, 16600, 15, 7828, 3051, 7, 1337, 10, 198, 26, 135, 2074, 2074, 657, 10859, 2074, 2074, 139, 4, 81, 20948, 20203, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 449, 6918, 1368, 12, 18758, 757, 5, 630, 6158, 11, 44, 449, 6918, 1800, 12, 18758, 757, 5, 1631, 2925, 8, 6158, 11, 44, 4740, 2646, 656, 12, 13205, 27344, 5, 98, 672, 5, 200, 2261, 11, 44, 11711, 5442, 12, 3302, 235, 22124, 8227, 11, 44, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 8738, 1641, 12, 12485, 13323, 3423, 5, 284, 205, 30746, 5, 1069, 11, 44, 3972, 5972, 12, 7039, 5612, 7147, 3633, 8, 26, 30, 19274, 11, 44, 3972, 2537, 1608, 12, 7054, 6916, 3783, 11, 44, 7287, 6332, 12, 3302, 7488, 6351, 11, 44, 17446, 4156, 12, 287, 26939, 20612, 7, 446, 7488, 11, 44, 7287, 3927, 2365, 12, 15139, 12, 814, 11, 4492, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 449, 30143, 1933, 12, 3018, 9, 323, 12, 404, 11, 119, 5, 13525, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 13619, 3791, 12, 305, 15603, 2936, 8, 5844, 5, 3794, 7, 2041, 3047, 11, 44, 430, 13965, 777, 12, 3160, 2384, 429, 608, 11, 27730, 305, 10421, 20, 4419, 25060, 425, 757, 20, 28953, 3409, 2685, 5641, 2047, 4024, 1341, 20, 81, 388, 7306, 787, 81, 1686, 159, 70, 2126, 135, 2074, 2074, 4235, 26, 657, 13564, 2074, 2074, 139, 44, 682, 16006, 4164, 30509, 244, 13, 491, 1779, 7178, 44, 279, 26, 110, 261, 3864, 615, 135, 2074, 2074, 657, 13564, 9, 85, 9, 402, 2074, 2074, 139, 4, 81, 21666, 8713, 26, 362, 1664, 7288, 4948, 81, 2406, 244, 13, 16129, 13294, 4, 1904, 4395, 466, 24, 12, 135, 2074, 2074, 4221, 26, 657, 13564, 2074, 2074, 139, 11, 81, 29047, 12, 1686, 25, 16006, 11, 81, 24029, 3302, 25060, 17246, 20, 81, 5921, 12735, 507, 12, 1686, 25, 621, 135, 2074, 2074, 4235, 26, 657, 13564, 2074, 2074, 139, 11, 81, 8572, 81, 283, 26, 110, 5838, 1051, 7, 22392, 2248, 3283, 912, 5, 1994, 11377, 423, 19134, 8, 407, 826, 16600, 15, 7828, 3051, 7, 1337, 10, 198, 26, 135, 2074, 2074, 657, 10859, 2074, 2074, 139, 4, 81, 20948, 20203, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
92,287
18156
[ 5493, 305, 10421, 20, 449, 6918, 1368, 12, 18758, 757, 5, 630, 6158, 11, 44, 449, 6918, 1800, 12, 18758, 757, 5, 1631, 2925, 8, 6158, 11, 44, 4740, 2646, 656, 12, 13205, 27344, 5, 98, 672, 5, 200, 2261, 11, 44, 11711, 5442, 12, 3302, 235, 22124, 8227, 11, 44, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 8738, 1641, 12, 12485, 13323, 3423, 5, 284, 205, 30746, 5, 1069, 11, 44, 3972, 5972, 12, 7039, 5612, 7147, 3633, 8, 26, 30, 19274, 11, 44, 3972, 2537, 1608, 12, 7054, 6916, 3783, 11, 44, 7287, 6332, 12, 3302, 7488, 6351, 11, 44, 17446, 4156, 12, 287, 26939, 20612, 7, 446, 7488, 11, 44, 7287, 3927, 2365, 12, 15139, 12, 814, 11, 4492, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 449, 30143, 1933, 12, 3018, 9, 323, 12, 404, 11, 119, 5, 13525, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 13619, 3791, 12, 305, 15603, 2936, 8, 5844, 5, 3794, 7, 2041, 3047, 11, 44, 430, 13965, 777, 12, 3160, 2384, 429, 608, 11, 27730, 305, 10421, 20, 4419, 4009, 3650, 3907, 5641, 2047, 4024, 1341, 20, 4201, 21, 236, 8, 6704, 838, 4, 4201, 10856, 27, 14, 3140, 3124, 34, 135, 2074, 2074, 18820, 846, 36, 2074, 2074, 139, 135, 2074, 2074, 32820, 12, 12718, 11, 25025, 2074, 2074, 139, 7, 859, 387, 5, 488, 4, 4201, 21, 14, 5305, 362, 20257, 8, 4411, 3045, 16428, 254, 16446, 4, 3878, 844, 14323, 792, 135, 2074, 2074, 198, 9, 880, 2074, 2074, 139, 19246, 5, 11872, 255, 54, 711, 4258, 8, 112, 14, 1023, 3358, 1080, 112, 29, 94, 13, 94, 15, 13029, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 449, 6918, 1368, 12, 18758, 757, 5, 630, 6158, 11, 44, 449, 6918, 1800, 12, 18758, 757, 5, 1631, 2925, 8, 6158, 11, 44, 4740, 2646, 656, 12, 13205, 27344, 5, 98, 672, 5, 200, 2261, 11, 44, 11711, 5442, 12, 3302, 235, 22124, 8227, 11, 44, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 8738, 1641, 12, 12485, 13323, 3423, 5, 284, 205, 30746, 5, 1069, 11, 44, 3972, 5972, 12, 7039, 5612, 7147, 3633, 8, 26, 30, 19274, 11, 44, 3972, 2537, 1608, 12, 7054, 6916, 3783, 11, 44, 7287, 6332, 12, 3302, 7488, 6351, 11, 44, 17446, 4156, 12, 287, 26939, 20612, 7, 446, 7488, 11, 44, 7287, 3927, 2365, 12, 15139, 12, 814, 11, 4492, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 44, 449, 30143, 1933, 12, 3018, 9, 323, 12, 404, 11, 119, 5, 13525, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 13619, 3791, 12, 305, 15603, 2936, 8, 5844, 5, 3794, 7, 2041, 3047, 11, 44, 430, 13965, 777, 12, 3160, 2384, 429, 608, 11, 27730, 305, 10421, 20, 4419, 4009, 3650, 3907, 5641, 2047, 4024, 1341, 20, 4201, 21, 236, 8, 6704, 838, 4, 4201, 10856, 27, 14, 3140, 3124, 34, 135, 2074, 2074, 18820, 846, 36, 2074, 2074, 139, 135, 2074, 2074, 32820, 12, 12718, 11, 25025, 2074, 2074, 139, 7, 859, 387, 5, 488, 4, 4201, 21, 14, 5305, 362, 20257, 8, 4411, 3045, 16428, 254, 16446, 4, 3878, 844, 14323, 792, 135, 2074, 2074, 198, 9, 880, 2074, 2074, 139, 19246, 5, 11872, 255, 54, 711, 4258, 8, 112, 14, 1023, 3358, 1080, 112, 29, 94, 13, 94, 15, 13029, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
94,125
30125
[ 5493, 305, 10421, 20, 9866, 1057, 627, 12, 1223, 7947, 7341, 5838, 205, 30746, 5, 2561, 30, 26021, 11, 44, 5216, 3690, 12, 2900, 7488, 836, 936, 11, 44, 449, 12544, 12, 18758, 757, 5, 1107, 7385, 5, 502, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 8738, 1541, 91, 12, 30393, 507, 5, 6979, 15, 98, 15958, 7, 205, 30746, 5, 2561, 11, 44, 2127, 5003, 12, 11283, 7385, 5, 1098, 5, 3713, 11, 44, 10536, 28566, 12, 22765, 15518, 1939, 5, 1963, 12, 205, 30746, 5, 2715, 11, 11, 44, 351, 10721, 2365, 12, 2768, 910, 608, 11, 44, 351, 10721, 1827, 12, 2768, 8, 308, 910, 608, 277, 1479, 8, 240, 11, 44, 430, 20215, 12, 3302, 308, 630, 429, 481, 11, 44, 430, 25972, 12, 3664, 4370, 277, 535, 240, 11, 44, 17446, 2646, 777, 12, 11075, 21699, 7, 15284, 349, 11, 44, 8030, 2646, 1520, 12, 3302, 910, 563, 11, 44, 351, 24043, 12, 5921, 9714, 11, 27730, 305, 10421, 20, 4419, 28897, 3031, 1001, 20, 18900, 3282, 13580, 16711, 20, 135, 2074, 2074, 18820, 846, 54, 215, 2074, 2074, 139, 1514, 1719, 4828, 787, 4271, 81, 135, 2074, 2074, 18820, 846, 36, 208, 2074, 2074, 139, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 9866, 1057, 627, 12, 1223, 7947, 7341, 5838, 205, 30746, 5, 2561, 30, 26021, 11, 44, 5216, 3690, 12, 2900, 7488, 836, 936, 11, 44, 449, 12544, 12, 18758, 757, 5, 1107, 7385, 5, 502, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 8738, 1541, 91, 12, 30393, 507, 5, 6979, 15, 98, 15958, 7, 205, 30746, 5, 2561, 11, 44, 2127, 5003, 12, 11283, 7385, 5, 1098, 5, 3713, 11, 44, 10536, 28566, 12, 22765, 15518, 1939, 5, 1963, 12, 205, 30746, 5, 2715, 11, 11, 44, 351, 10721, 2365, 12, 2768, 910, 608, 11, 44, 351, 10721, 1827, 12, 2768, 8, 308, 910, 608, 277, 1479, 8, 240, 11, 44, 430, 20215, 12, 3302, 308, 630, 429, 481, 11, 44, 430, 25972, 12, 3664, 4370, 277, 535, 240, 11, 44, 17446, 2646, 777, 12, 11075, 21699, 7, 15284, 349, 11, 44, 8030, 2646, 1520, 12, 3302, 910, 563, 11, 44, 351, 24043, 12, 5921, 9714, 11, 27730, 305, 10421, 20, 4419, 28897, 3031, 1001, 20, 18900, 3282, 13580, 16711, 20, 135, 2074, 2074, 18820, 846, 54, 215, 2074, 2074, 139, 1514, 1719, 4828, 787, 4271, 81, 135, 2074, 2074, 18820, 846, 36, 208, 2074, 2074, 139, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
94,125
30125
[ 5493, 305, 10421, 20, 9866, 1057, 627, 12, 1223, 7947, 7341, 5838, 205, 30746, 5, 2561, 30, 26021, 11, 44, 5216, 3690, 12, 2900, 7488, 836, 936, 11, 44, 449, 12544, 12, 18758, 757, 5, 1107, 7385, 5, 502, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 8738, 1541, 91, 12, 30393, 507, 5, 6979, 15, 98, 15958, 7, 205, 30746, 5, 2561, 11, 44, 2127, 5003, 12, 11283, 7385, 5, 1098, 5, 3713, 11, 44, 10536, 28566, 12, 22765, 15518, 1939, 5, 1963, 12, 205, 30746, 5, 2715, 11, 11, 44, 351, 10721, 2365, 12, 2768, 910, 608, 11, 44, 351, 10721, 1827, 12, 2768, 8, 308, 910, 608, 277, 1479, 8, 240, 11, 44, 430, 20215, 12, 3302, 308, 630, 429, 481, 11, 44, 430, 25972, 12, 3664, 4370, 277, 535, 240, 11, 44, 17446, 2646, 777, 12, 11075, 21699, 7, 15284, 349, 11, 44, 8030, 2646, 1520, 12, 3302, 910, 563, 11, 44, 351, 24043, 12, 5921, 9714, 11, 27730, 305, 10421, 20, 4419, 14257, 1794, 30328, 20, 56, 21, 14, 2207, 206, 421, 649, 15, 14, 1414, 1098, 459, 149, 15613, 13, 6, 780, 25, 135, 2074, 2074, 657, 12996, 9, 215, 9, 479, 2074, 2074, 139, 16, 20, 36, 4, 26901, 14530, 32509, 1230, 4, 40, 4, 10494, 8032, 4, 54, 4, 1223, 7947, 7341, 5838, 1051, 12, 2531, 662, 11, 4, 1078, 6, 195, 223, 17, 265, 3506, 255, 3109, 6344, 970, 10, 6, 238, 3324, 5, 6, 1322, 670, 5210, 524, 359, 24, 853, 4478, 10, 492, 13, 2966, 14, 1136, 4478, 134, 166, 4, 271, 21, 102, 248, 5, 420, 12837, 7, 8, 5210, 67, 14, 14611, 10, 6, 195, 46, 17, 362, 8085, 4, 943, 18147, 40, 7, 5210, 36276, 977, 25, 7612, 8, 17, 4721, 13, 6, 3747, 8, 26583, 13878, 977, 16, 293, 910, 3194, 26, 608, 4, 5651, 1254, 10, 6, 3747, 16, 54, 405, 4, 18, 277, 7163, 99, 709, 20, 135, 2074, 2074, 215, 9, 414, 2074, 2074, 139, 20, 10896, 2467, 454, 16, 2337, 7, 88, 18449, 7, 343, 26746, 7, 535, 1140, 19, 383, 4, 135, 2074, 2074, 215, 9, 656, 2074, 2074, 139, 20, 4192, 16252, 135, 2074, 2074, 215, 9, 627, 2074, 2074, 139, 20, 10469, 457, 8, 1516, 18685, 169, 915, 5610, 543, 636, 26, 12603, 8, 648, 11355, 1162, 2159, 27501, 4395, 504, 24, 6150, 7288, 7, 2723, 7, 38278, 570, 10, 19566, 135, 2074, 2074, 215, 9, 777, 2074, 2074, 139, 20, 23487, 1652, 636, 81, 304, 902, 2774, 12, 41, 38196, 606, 11, 7, 6270, 32, 7306, 581, 40, 135, 2074, 2074, 215, 9, 908, 2074, 2074, 139, 20, 2983, 677, 35084, 25527, 7, 30256, 704, 543, 7, 6270, 32, 16252, 7, 20585, 2281, 15163, 7, 2048, 527, 19566, 7, 5883, 677, 570, 13, 297, 7, 19957, 1235, 10693, 12, 736, 1297, 33816, 3508, 135, 2074, 2074, 657, 12996, 9, 215, 9, 208, 2074, 2074, 139, 11, 135, 2074, 2074, 215, 9, 334, 2074, 2074, 139, 20, 30362, 18449, 7, 6660, 1206, 15, 19566, 135, 2074, 2074, 215, 9, 434, 2074, 2074, 139, 20, 1968, 177, 32413, 7, 1895, 29382, 466, 26, 466, 135, 2074, 2074, 215, 9, 991, 2074, 2074, 139, 20, 32413, 883, 19528, 16, 19957, 1235, 135, 2074, 2074, 215, 9, 1031, 2074, 2074, 139, 20, 6270, 32, 7449, 135, 2074, 2074, 215, 9, 880, 2074, 2074, 139, 20, 1098, 23487, 383, 7, 4192, 765, 341, 169, 7, 135, 2074, 2074, 215, 9, 1205, 2074, 2074, 139, 20, 6470, 259, 7, 135, 2074, 2074, 215, 9, 249, 2074, 2074, 139, 185, 11005, 581, 7403, 1783, 2481, 2377, 23, 9755, 135, 2074, 2074, 215, 9, 1083, 2074, 2074, 139, 20, 5987, 457, 2377, 7, 6712, 213, 2469, 44, 88, 10947, 29, 6470, 259, 12, 6978, 578, 34, 988, 11, 135, 2074, 2074, 208, 9, 36, 2074, 2074, 139, 20, 636, 26, 457, 1111, 6626, 399, 26, 17320, 25604, 44, 293, 13709, 5288, 543, 36, 15, 1708, 4126, 7, 10896, 2337, 81, 383, 7, 7700, 29390, 15, 401, 361, 213, 14441, 7, 10947, 239, 29, 799, 61, 143, 44, 17477, 399, 81, 31686, 24334, 7, 102, 6316, 1409, 44, 305, 12095, 22864, 81, 102, 163, 44, 88, 12889, 6978, 13, 504, 24, 16, 590, 6344, 44, 26922, 4124, 135, 2074, 2074, 208, 9, 40, 2074, 2074, 139, 20, 40, 1602, 2873, 3452, 7, 3861, 34, 50, 36, 1320, 7, 590, 50, 915, 5610, 543, 135, 2074, 2074, 208, 9, 54, 2074, 2074, 139, 20, 978, 25375, 5288, 7, 11572, 32145, 11879, 820, 4, 237, 5610, 543, 883, 765, 527, 88, 16, 902, 604, 8358, 8, 630, 936, 135, 2074, 2074, 208, 9, 85, 2074, 2074, 139, 20, 160, 10, 16315, 7, 746, 578, 34, 7, 915, 5610, 543, 40, 26, 2386, 135, 2074, 2074, 208, 9, 82, 2074, 2074, 139, 20, 160, 10, 16315, 7, 10947, 859, 6573, 13, 33, 2192, 7, 915, 5610, 543, 883, 765, 527, 88, 13, 1796, 6, 125, 383, 135, 2074, 2074, 208, 9, 116, 2074, 2074, 139, 20, 5435, 683, 1891, 5833, 9131, 7, 9730, 4646, 8, 6885, 7, 3238, 5957, 3437, 169, 7, 88, 915, 5610, 543, 883, 765, 527, 135, 2074, 2074, 208, 9, 215, 2074, 2074, 139, 20, 11715, 2832, 5, 20584, 7, 663, 809, 13, 11572, 32145, 11879, 820, 4, 3678, 12889, 6978, 7, 25516, 11997, 13321, 4, 7435, 72, 15, 5288, 5, 5927, 154, 690, 318, 604, 458, 3498, 1678, 683, 1891, 5833, 9131, 4, 4475, 22949, 5488, 7, 648, 11355, 1162, 2159, 4, 7435, 15, 9734, 5288, 15, 5927, 4, 135, 2074, 2074, 208, 9, 348, 2074, 2074, 139, 20, 261, 1891, 5833, 9131, 2469, 8, 125, 30440, 3051, 7, 8068, 4124, 247, 2481, 22215, 1843, 7, 5335, 8452, 10947, 7, 915, 5610, 543, 883, 765, 527, 88, 7, 24490, 9197, 470, 88, 7, 2172, 166, 1706, 26, 1828, 10, 3332, 135, 2074, 2074, 208, 9, 91, 2074, 2074, 139, 20, 261, 1891, 5833, 9131, 2377, 4, 237, 5610, 543, 883, 765, 527, 263, 135, 2074, 2074, 208, 9, 402, 2074, 2074, 139, 20, 2048, 527, 19136, 7, 9144, 24490, 9197, 7, 4124, 4147, 846, 9735 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5493, 305, 10421, 20, 9866, 1057, 627, 12, 1223, 7947, 7341, 5838, 205, 30746, 5, 2561, 30, 26021, 11, 44, 5216, 3690, 12, 2900, 7488, 836, 936, 11, 44, 449, 12544, 12, 18758, 757, 5, 1107, 7385, 5, 502, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 8738, 1541, 91, 12, 30393, 507, 5, 6979, 15, 98, 15958, 7, 205, 30746, 5, 2561, 11, 44, 2127, 5003, 12, 11283, 7385, 5, 1098, 5, 3713, 11, 44, 10536, 28566, 12, 22765, 15518, 1939, 5, 1963, 12, 205, 30746, 5, 2715, 11, 11, 44, 351, 10721, 2365, 12, 2768, 910, 608, 11, 44, 351, 10721, 1827, 12, 2768, 8, 308, 910, 608, 277, 1479, 8, 240, 11, 44, 430, 20215, 12, 3302, 308, 630, 429, 481, 11, 44, 430, 25972, 12, 3664, 4370, 277, 535, 240, 11, 44, 17446, 2646, 777, 12, 11075, 21699, 7, 15284, 349, 11, 44, 8030, 2646, 1520, 12, 3302, 910, 563, 11, 44, 351, 24043, 12, 5921, 9714, 11, 27730, 305, 10421, 20, 4419, 14257, 1794, 30328, 20, 56, 21, 14, 2207, 206, 421, 649, 15, 14, 1414, 1098, 459, 149, 15613, 13, 6, 780, 25, 135, 2074, 2074, 657, 12996, 9, 215, 9, 479, 2074, 2074, 139, 16, 20, 36, 4, 26901, 14530, 32509, 1230, 4, 40, 4, 10494, 8032, 4, 54, 4, 1223, 7947, 7341, 5838, 1051, 12, 2531, 662, 11, 4, 1078, 6, 195, 223, 17, 265, 3506, 255, 3109, 6344, 970, 10, 6, 238, 3324, 5, 6, 1322, 670, 5210, 524, 359, 24, 853, 4478, 10, 492, 13, 2966, 14, 1136, 4478, 134, 166, 4, 271, 21, 102, 248, 5, 420, 12837, 7, 8, 5210, 67, 14, 14611, 10, 6, 195, 46, 17, 362, 8085, 4, 943, 18147, 40, 7, 5210, 36276, 977, 25, 7612, 8, 17, 4721, 13, 6, 3747, 8, 26583, 13878, 977, 16, 293, 910, 3194, 26, 608, 4, 5651, 1254, 10, 6, 3747, 16, 54, 405, 4, 18, 277, 7163, 99, 709, 20, 135, 2074, 2074, 215, 9, 414, 2074, 2074, 139, 20, 10896, 2467, 454, 16, 2337, 7, 88, 18449, 7, 343, 26746, 7, 535, 1140, 19, 383, 4, 135, 2074, 2074, 215, 9, 656, 2074, 2074, 139, 20, 4192, 16252, 135, 2074, 2074, 215, 9, 627, 2074, 2074, 139, 20, 10469, 457, 8, 1516, 18685, 169, 915, 5610, 543, 636, 26, 12603, 8, 648, 11355, 1162, 2159, 27501, 4395, 504, 24, 6150, 7288, 7, 2723, 7, 38278, 570, 10, 19566, 135, 2074, 2074, 215, 9, 777, 2074, 2074, 139, 20, 23487, 1652, 636, 81, 304, 902, 2774, 12, 41, 38196, 606, 11, 7, 6270, 32, 7306, 581, 40, 135, 2074, 2074, 215, 9, 908, 2074, 2074, 139, 20, 2983, 677, 35084, 25527, 7, 30256, 704, 543, 7, 6270, 32, 16252, 7, 20585, 2281, 15163, 7, 2048, 527, 19566, 7, 5883, 677, 570, 13, 297, 7, 19957, 1235, 10693, 12, 736, 1297, 33816, 3508, 135, 2074, 2074, 657, 12996, 9, 215, 9, 208, 2074, 2074, 139, 11, 135, 2074, 2074, 215, 9, 334, 2074, 2074, 139, 20, 30362, 18449, 7, 6660, 1206, 15, 19566, 135, 2074, 2074, 215, 9, 434, 2074, 2074, 139, 20, 1968, 177, 32413, 7, 1895, 29382, 466, 26, 466, 135, 2074, 2074, 215, 9, 991, 2074, 2074, 139, 20, 32413, 883, 19528, 16, 19957, 1235, 135, 2074, 2074, 215, 9, 1031, 2074, 2074, 139, 20, 6270, 32, 7449, 135, 2074, 2074, 215, 9, 880, 2074, 2074, 139, 20, 1098, 23487, 383, 7, 4192, 765, 341, 169, 7, 135, 2074, 2074, 215, 9, 1205, 2074, 2074, 139, 20, 6470, 259, 7, 135, 2074, 2074, 215, 9, 249, 2074, 2074, 139, 185, 11005, 581, 7403, 1783, 2481, 2377, 23, 9755, 135, 2074, 2074, 215, 9, 1083, 2074, 2074, 139, 20, 5987, 457, 2377, 7, 6712, 213, 2469, 44, 88, 10947, 29, 6470, 259, 12, 6978, 578, 34, 988, 11, 135, 2074, 2074, 208, 9, 36, 2074, 2074, 139, 20, 636, 26, 457, 1111, 6626, 399, 26, 17320, 25604, 44, 293, 13709, 5288, 543, 36, 15, 1708, 4126, 7, 10896, 2337, 81, 383, 7, 7700, 29390, 15, 401, 361, 213, 14441, 7, 10947, 239, 29, 799, 61, 143, 44, 17477, 399, 81, 31686, 24334, 7, 102, 6316, 1409, 44, 305, 12095, 22864, 81, 102, 163, 44, 88, 12889, 6978, 13, 504, 24, 16, 590, 6344, 44, 26922, 4124, 135, 2074, 2074, 208, 9, 40, 2074, 2074, 139, 20, 40, 1602, 2873, 3452, 7, 3861, 34, 50, 36, 1320, 7, 590, 50, 915, 5610, 543, 135, 2074, 2074, 208, 9, 54, 2074, 2074, 139, 20, 978, 25375, 5288, 7, 11572, 32145, 11879, 820, 4, 237, 5610, 543, 883, 765, 527, 88, 16, 902, 604, 8358, 8, 630, 936, 135, 2074, 2074, 208, 9, 85, 2074, 2074, 139, 20, 160, 10, 16315, 7, 746, 578, 34, 7, 915, 5610, 543, 40, 26, 2386, 135, 2074, 2074, 208, 9, 82, 2074, 2074, 139, 20, 160, 10, 16315, 7, 10947, 859, 6573, 13, 33, 2192, 7, 915, 5610, 543, 883, 765, 527, 88, 13, 1796, 6, 125, 383, 135, 2074, 2074, 208, 9, 116, 2074, 2074, 139, 20, 5435, 683, 1891, 5833, 9131, 7, 9730, 4646, 8, 6885, 7, 3238, 5957, 3437, 169, 7, 88, 915, 5610, 543, 883, 765, 527, 135, 2074, 2074, 208, 9, 215, 2074, 2074, 139, 20, 11715, 2832, 5, 20584, 7, 663, 809, 13, 11572, 32145, 11879, 820, 4, 3678, 12889, 6978, 7, 25516, 11997, 13321, 4, 7435, 72, 15, 5288, 5, 5927, 154, 690, 318, 604, 458, 3498, 1678, 683, 1891, 5833, 9131, 4, 4475, 22949, 5488, 7, 648, 11355, 1162, 2159, 4, 7435, 15, 9734, 5288, 15, 5927, 4, 135, 2074, 2074, 208, 9, 348, 2074, 2074, 139, 20, 261, 1891, 5833, 9131, 2469, 8, 125, 30440, 3051, 7, 8068, 4124, 247, 2481, 22215, 1843, 7, 5335, 8452, 10947, 7, 915, 5610, 543, 883, 765, 527, 88, 7, 24490, 9197, 470, 88, 7, 2172, 166, 1706, 26, 1828, 10, 3332, 135, 2074, 2074, 208, 9, 91, 2074, 2074, 139, 20, 261, 1891, 5833, 9131, 2377, 4, 237, 5610, 543, 883, 765, 527, 263, 135, 2074, 2074, 208, 9, 402, 2074, 2074, 139, 20, 2048, 527, 19136, 7, 9144, 24490, 9197, 7, 4124, 4147, 846, 9735 ]
94,125
30125
[ 215, 9, 434, 2074, 2074, 139, 20, 1968, 177, 32413, 7, 1895, 29382, 466, 26, 466, 135, 2074, 2074, 215, 9, 991, 2074, 2074, 139, 20, 32413, 883, 19528, 16, 19957, 1235, 135, 2074, 2074, 215, 9, 1031, 2074, 2074, 139, 20, 6270, 32, 7449, 135, 2074, 2074, 215, 9, 880, 2074, 2074, 139, 20, 1098, 23487, 383, 7, 4192, 765, 341, 169, 7, 135, 2074, 2074, 215, 9, 1205, 2074, 2074, 139, 20, 6470, 259, 7, 135, 2074, 2074, 215, 9, 249, 2074, 2074, 139, 185, 11005, 581, 7403, 1783, 2481, 2377, 23, 9755, 135, 2074, 2074, 215, 9, 1083, 2074, 2074, 139, 20, 5987, 457, 2377, 7, 6712, 213, 2469, 44, 88, 10947, 29, 6470, 259, 12, 6978, 578, 34, 988, 11, 135, 2074, 2074, 208, 9, 36, 2074, 2074, 139, 20, 636, 26, 457, 1111, 6626, 399, 26, 17320, 25604, 44, 293, 13709, 5288, 543, 36, 15, 1708, 4126, 7, 10896, 2337, 81, 383, 7, 7700, 29390, 15, 401, 361, 213, 14441, 7, 10947, 239, 29, 799, 61, 143, 44, 17477, 399, 81, 31686, 24334, 7, 102, 6316, 1409, 44, 305, 12095, 22864, 81, 102, 163, 44, 88, 12889, 6978, 13, 504, 24, 16, 590, 6344, 44, 26922, 4124, 135, 2074, 2074, 208, 9, 40, 2074, 2074, 139, 20, 40, 1602, 2873, 3452, 7, 3861, 34, 50, 36, 1320, 7, 590, 50, 915, 5610, 543, 135, 2074, 2074, 208, 9, 54, 2074, 2074, 139, 20, 978, 25375, 5288, 7, 11572, 32145, 11879, 820, 4, 237, 5610, 543, 883, 765, 527, 88, 16, 902, 604, 8358, 8, 630, 936, 135, 2074, 2074, 208, 9, 85, 2074, 2074, 139, 20, 160, 10, 16315, 7, 746, 578, 34, 7, 915, 5610, 543, 40, 26, 2386, 135, 2074, 2074, 208, 9, 82, 2074, 2074, 139, 20, 160, 10, 16315, 7, 10947, 859, 6573, 13, 33, 2192, 7, 915, 5610, 543, 883, 765, 527, 88, 13, 1796, 6, 125, 383, 135, 2074, 2074, 208, 9, 116, 2074, 2074, 139, 20, 5435, 683, 1891, 5833, 9131, 7, 9730, 4646, 8, 6885, 7, 3238, 5957, 3437, 169, 7, 88, 915, 5610, 543, 883, 765, 527, 135, 2074, 2074, 208, 9, 215, 2074, 2074, 139, 20, 11715, 2832, 5, 20584, 7, 663, 809, 13, 11572, 32145, 11879, 820, 4, 3678, 12889, 6978, 7, 25516, 11997, 13321, 4, 7435, 72, 15, 5288, 5, 5927, 154, 690, 318, 604, 458, 3498, 1678, 683, 1891, 5833, 9131, 4, 4475, 22949, 5488, 7, 648, 11355, 1162, 2159, 4, 7435, 15, 9734, 5288, 15, 5927, 4, 135, 2074, 2074, 208, 9, 348, 2074, 2074, 139, 20, 261, 1891, 5833, 9131, 2469, 8, 125, 30440, 3051, 7, 8068, 4124, 247, 2481, 22215, 1843, 7, 5335, 8452, 10947, 7, 915, 5610, 543, 883, 765, 527, 88, 7, 24490, 9197, 470, 88, 7, 2172, 166, 1706, 26, 1828, 10, 3332, 135, 2074, 2074, 208, 9, 91, 2074, 2074, 139, 20, 261, 1891, 5833, 9131, 2377, 4, 237, 5610, 543, 883, 765, 527, 263, 135, 2074, 2074, 208, 9, 402, 2074, 2074, 139, 20, 2048, 527, 19136, 7, 9144, 24490, 9197, 7, 4124, 4147, 846, 9735, 7, 5297, 457, 4124, 135, 2074, 2074, 208, 9, 465, 2074, 2074, 139, 20, 27672, 22215, 11355, 1162, 2159, 110, 8803, 7, 18029, 527, 17, 2377, 16, 7400, 26, 16875, 7, 102, 1344, 36897, 709, 135, 2074, 2074, 208, 9, 400, 2074, 2074, 139, 20, 7435, 67, 7091, 1841, 7, 29382, 263, 13, 434, 7, 434, 4, 7435, 490, 636, 26, 457, 14505, 135, 2074, 2074, 208, 9, 274, 2074, 2074, 139, 20, 9899, 283, 26, 283, 29251, 7, 135, 2074, 2074, 1794, 440, 1940, 8559, 2074, 2074, 139, 407, 4828, 787, 779, 7, 24490, 9197, 135, 2074, 2074, 208, 9, 219, 2074, 2074, 139, 621, 20, 15029, 2414, 23592, 7, 2095, 207, 1194, 2281, 10, 32305, 35429, 9510, 4015, 41, 126, 9, 330, 7, 61, 102, 9921, 3947, 4, 410, 7, 663, 2183, 8478, 5, 12417, 4, 54, 2917, 4576, 5884, 401, 496, 41, 1649, 667, 4, 3246, 17178, 16921, 23840, 3844, 4084, 23046, 63, 1676, 234, 7, 986, 8, 188, 663, 3237, 4, 4, 28953, 3409, 11808, 18721, 9504, 2316, 20, 4290, 13, 3978, 30074, 20612, 8, 3140, 2719, 7, 3109, 6973, 4076, 764, 19, 5488, 4, 124, 19, 11355, 1162, 2159, 205, 5166, 2750, 2135, 25, 6, 7612, 4, 9587, 9360, 5222, 20187, 20, 6470, 259, 8, 19647, 707, 7868, 7302, 1954, 10, 2018, 4, 4918, 26, 2935, 245, 20, 7552, 2095, 7, 8, 362, 20842, 4, 30256, 15677, 25, 6, 702, 752, 57, 12141, 58, 10882, 7031, 387, 4, 271, 21, 1472, 32, 9537, 23174, 10, 2018, 4, 18, 1337, 30256, 4771, 17445, 17, 135, 2074, 2074, 37033, 1047, 12288, 18566, 440, 1940, 7277, 2074, 2074, 139, 4, 19604, 19307, 10395, 20, 5891, 34, 2336, 5224, 12561, 26, 2386, 4, 287, 17950, 1118, 265, 6885, 121, 4, 5195, 707, 3571, 279, 2004, 4, 2630, 299, 3907, 20, 915, 5610, 543, 883, 765, 527, 7, 24490, 9197, 9144, 4, 17814, 517, 1472, 988, 4, 4703, 16074, 403, 37554, 20, 988, 4359, 5181, 2735, 21080, 20, 4628, 1961, 6112, 20, 7213, 21812, 7, 8, 5297, 457, 47, 58, 1448, 4, 1196, 18685, 169, 13, 4192, 16, 40, 405, 244, 13, 321, 3768, 715, 5181, 33050, 2174, 388, 2952, 715, 273, 3190, 7602, 29, 6, 30256, 15677, 4, 23898, 2940, 26, 11156, 230, 2940, 26, 261, 4761, 18524, 20, 4230, 8061, 7, 5987, 457, 638, 22329, 37504, 1220, 787, 7, 36014, 18187, 2804, 20, 3198, 4, 15018, 20, 2930, 4602, 20, 341, 3501, 20, 4602, 10481, 3256, 6, 3713, 61, 205, 1146, 5, 6, 11820, 2142, 30, 6, 1698, 5976, 612, 4, 40, 26, 1083, 2509, 211, 4, 29581, 1578, 446, 396, 23, 1226, 549, 20, 668, 24937, 7, 51, 29777, 1833, 4, 4, 19584, 20, 135, 2074, 2074, 208, 9, 219, 2074, 2074, 139, 103, 613, 1706, 20, 9712, 16600, 135, 2074, 2074, 208, 9, 656, 2074, 2074, 139, 21809, 20, 4119, 81, 18530, 13, 17526, 2892, 135, 2074, 2074, 208, 9, 198, 2074, 2074, 139, 103, 613, 1706, 20, 383, 135, 2074, 2074, 208, 9, 402, 2074, 2074, 139, 10794, 20, 17417, 4106, 135, 2074, 2074, 208, 9, 208 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 215, 9, 434, 2074, 2074, 139, 20, 1968, 177, 32413, 7, 1895, 29382, 466, 26, 466, 135, 2074, 2074, 215, 9, 991, 2074, 2074, 139, 20, 32413, 883, 19528, 16, 19957, 1235, 135, 2074, 2074, 215, 9, 1031, 2074, 2074, 139, 20, 6270, 32, 7449, 135, 2074, 2074, 215, 9, 880, 2074, 2074, 139, 20, 1098, 23487, 383, 7, 4192, 765, 341, 169, 7, 135, 2074, 2074, 215, 9, 1205, 2074, 2074, 139, 20, 6470, 259, 7, 135, 2074, 2074, 215, 9, 249, 2074, 2074, 139, 185, 11005, 581, 7403, 1783, 2481, 2377, 23, 9755, 135, 2074, 2074, 215, 9, 1083, 2074, 2074, 139, 20, 5987, 457, 2377, 7, 6712, 213, 2469, 44, 88, 10947, 29, 6470, 259, 12, 6978, 578, 34, 988, 11, 135, 2074, 2074, 208, 9, 36, 2074, 2074, 139, 20, 636, 26, 457, 1111, 6626, 399, 26, 17320, 25604, 44, 293, 13709, 5288, 543, 36, 15, 1708, 4126, 7, 10896, 2337, 81, 383, 7, 7700, 29390, 15, 401, 361, 213, 14441, 7, 10947, 239, 29, 799, 61, 143, 44, 17477, 399, 81, 31686, 24334, 7, 102, 6316, 1409, 44, 305, 12095, 22864, 81, 102, 163, 44, 88, 12889, 6978, 13, 504, 24, 16, 590, 6344, 44, 26922, 4124, 135, 2074, 2074, 208, 9, 40, 2074, 2074, 139, 20, 40, 1602, 2873, 3452, 7, 3861, 34, 50, 36, 1320, 7, 590, 50, 915, 5610, 543, 135, 2074, 2074, 208, 9, 54, 2074, 2074, 139, 20, 978, 25375, 5288, 7, 11572, 32145, 11879, 820, 4, 237, 5610, 543, 883, 765, 527, 88, 16, 902, 604, 8358, 8, 630, 936, 135, 2074, 2074, 208, 9, 85, 2074, 2074, 139, 20, 160, 10, 16315, 7, 746, 578, 34, 7, 915, 5610, 543, 40, 26, 2386, 135, 2074, 2074, 208, 9, 82, 2074, 2074, 139, 20, 160, 10, 16315, 7, 10947, 859, 6573, 13, 33, 2192, 7, 915, 5610, 543, 883, 765, 527, 88, 13, 1796, 6, 125, 383, 135, 2074, 2074, 208, 9, 116, 2074, 2074, 139, 20, 5435, 683, 1891, 5833, 9131, 7, 9730, 4646, 8, 6885, 7, 3238, 5957, 3437, 169, 7, 88, 915, 5610, 543, 883, 765, 527, 135, 2074, 2074, 208, 9, 215, 2074, 2074, 139, 20, 11715, 2832, 5, 20584, 7, 663, 809, 13, 11572, 32145, 11879, 820, 4, 3678, 12889, 6978, 7, 25516, 11997, 13321, 4, 7435, 72, 15, 5288, 5, 5927, 154, 690, 318, 604, 458, 3498, 1678, 683, 1891, 5833, 9131, 4, 4475, 22949, 5488, 7, 648, 11355, 1162, 2159, 4, 7435, 15, 9734, 5288, 15, 5927, 4, 135, 2074, 2074, 208, 9, 348, 2074, 2074, 139, 20, 261, 1891, 5833, 9131, 2469, 8, 125, 30440, 3051, 7, 8068, 4124, 247, 2481, 22215, 1843, 7, 5335, 8452, 10947, 7, 915, 5610, 543, 883, 765, 527, 88, 7, 24490, 9197, 470, 88, 7, 2172, 166, 1706, 26, 1828, 10, 3332, 135, 2074, 2074, 208, 9, 91, 2074, 2074, 139, 20, 261, 1891, 5833, 9131, 2377, 4, 237, 5610, 543, 883, 765, 527, 263, 135, 2074, 2074, 208, 9, 402, 2074, 2074, 139, 20, 2048, 527, 19136, 7, 9144, 24490, 9197, 7, 4124, 4147, 846, 9735, 7, 5297, 457, 4124, 135, 2074, 2074, 208, 9, 465, 2074, 2074, 139, 20, 27672, 22215, 11355, 1162, 2159, 110, 8803, 7, 18029, 527, 17, 2377, 16, 7400, 26, 16875, 7, 102, 1344, 36897, 709, 135, 2074, 2074, 208, 9, 400, 2074, 2074, 139, 20, 7435, 67, 7091, 1841, 7, 29382, 263, 13, 434, 7, 434, 4, 7435, 490, 636, 26, 457, 14505, 135, 2074, 2074, 208, 9, 274, 2074, 2074, 139, 20, 9899, 283, 26, 283, 29251, 7, 135, 2074, 2074, 1794, 440, 1940, 8559, 2074, 2074, 139, 407, 4828, 787, 779, 7, 24490, 9197, 135, 2074, 2074, 208, 9, 219, 2074, 2074, 139, 621, 20, 15029, 2414, 23592, 7, 2095, 207, 1194, 2281, 10, 32305, 35429, 9510, 4015, 41, 126, 9, 330, 7, 61, 102, 9921, 3947, 4, 410, 7, 663, 2183, 8478, 5, 12417, 4, 54, 2917, 4576, 5884, 401, 496, 41, 1649, 667, 4, 3246, 17178, 16921, 23840, 3844, 4084, 23046, 63, 1676, 234, 7, 986, 8, 188, 663, 3237, 4, 4, 28953, 3409, 11808, 18721, 9504, 2316, 20, 4290, 13, 3978, 30074, 20612, 8, 3140, 2719, 7, 3109, 6973, 4076, 764, 19, 5488, 4, 124, 19, 11355, 1162, 2159, 205, 5166, 2750, 2135, 25, 6, 7612, 4, 9587, 9360, 5222, 20187, 20, 6470, 259, 8, 19647, 707, 7868, 7302, 1954, 10, 2018, 4, 4918, 26, 2935, 245, 20, 7552, 2095, 7, 8, 362, 20842, 4, 30256, 15677, 25, 6, 702, 752, 57, 12141, 58, 10882, 7031, 387, 4, 271, 21, 1472, 32, 9537, 23174, 10, 2018, 4, 18, 1337, 30256, 4771, 17445, 17, 135, 2074, 2074, 37033, 1047, 12288, 18566, 440, 1940, 7277, 2074, 2074, 139, 4, 19604, 19307, 10395, 20, 5891, 34, 2336, 5224, 12561, 26, 2386, 4, 287, 17950, 1118, 265, 6885, 121, 4, 5195, 707, 3571, 279, 2004, 4, 2630, 299, 3907, 20, 915, 5610, 543, 883, 765, 527, 7, 24490, 9197, 9144, 4, 17814, 517, 1472, 988, 4, 4703, 16074, 403, 37554, 20, 988, 4359, 5181, 2735, 21080, 20, 4628, 1961, 6112, 20, 7213, 21812, 7, 8, 5297, 457, 47, 58, 1448, 4, 1196, 18685, 169, 13, 4192, 16, 40, 405, 244, 13, 321, 3768, 715, 5181, 33050, 2174, 388, 2952, 715, 273, 3190, 7602, 29, 6, 30256, 15677, 4, 23898, 2940, 26, 11156, 230, 2940, 26, 261, 4761, 18524, 20, 4230, 8061, 7, 5987, 457, 638, 22329, 37504, 1220, 787, 7, 36014, 18187, 2804, 20, 3198, 4, 15018, 20, 2930, 4602, 20, 341, 3501, 20, 4602, 10481, 3256, 6, 3713, 61, 205, 1146, 5, 6, 11820, 2142, 30, 6, 1698, 5976, 612, 4, 40, 26, 1083, 2509, 211, 4, 29581, 1578, 446, 396, 23, 1226, 549, 20, 668, 24937, 7, 51, 29777, 1833, 4, 4, 19584, 20, 135, 2074, 2074, 208, 9, 219, 2074, 2074, 139, 103, 613, 1706, 20, 9712, 16600, 135, 2074, 2074, 208, 9, 656, 2074, 2074, 139, 21809, 20, 4119, 81, 18530, 13, 17526, 2892, 135, 2074, 2074, 208, 9, 198, 2074, 2074, 139, 103, 613, 1706, 20, 383, 135, 2074, 2074, 208, 9, 402, 2074, 2074, 139, 10794, 20, 17417, 4106, 135, 2074, 2074, 208, 9, 208 ]
94,125
30125
[ 7, 5297, 457, 4124, 135, 2074, 2074, 208, 9, 465, 2074, 2074, 139, 20, 27672, 22215, 11355, 1162, 2159, 110, 8803, 7, 18029, 527, 17, 2377, 16, 7400, 26, 16875, 7, 102, 1344, 36897, 709, 135, 2074, 2074, 208, 9, 400, 2074, 2074, 139, 20, 7435, 67, 7091, 1841, 7, 29382, 263, 13, 434, 7, 434, 4, 7435, 490, 636, 26, 457, 14505, 135, 2074, 2074, 208, 9, 274, 2074, 2074, 139, 20, 9899, 283, 26, 283, 29251, 7, 135, 2074, 2074, 1794, 440, 1940, 8559, 2074, 2074, 139, 407, 4828, 787, 779, 7, 24490, 9197, 135, 2074, 2074, 208, 9, 219, 2074, 2074, 139, 621, 20, 15029, 2414, 23592, 7, 2095, 207, 1194, 2281, 10, 32305, 35429, 9510, 4015, 41, 126, 9, 330, 7, 61, 102, 9921, 3947, 4, 410, 7, 663, 2183, 8478, 5, 12417, 4, 54, 2917, 4576, 5884, 401, 496, 41, 1649, 667, 4, 3246, 17178, 16921, 23840, 3844, 4084, 23046, 63, 1676, 234, 7, 986, 8, 188, 663, 3237, 4, 4, 28953, 3409, 11808, 18721, 9504, 2316, 20, 4290, 13, 3978, 30074, 20612, 8, 3140, 2719, 7, 3109, 6973, 4076, 764, 19, 5488, 4, 124, 19, 11355, 1162, 2159, 205, 5166, 2750, 2135, 25, 6, 7612, 4, 9587, 9360, 5222, 20187, 20, 6470, 259, 8, 19647, 707, 7868, 7302, 1954, 10, 2018, 4, 4918, 26, 2935, 245, 20, 7552, 2095, 7, 8, 362, 20842, 4, 30256, 15677, 25, 6, 702, 752, 57, 12141, 58, 10882, 7031, 387, 4, 271, 21, 1472, 32, 9537, 23174, 10, 2018, 4, 18, 1337, 30256, 4771, 17445, 17, 135, 2074, 2074, 37033, 1047, 12288, 18566, 440, 1940, 7277, 2074, 2074, 139, 4, 19604, 19307, 10395, 20, 5891, 34, 2336, 5224, 12561, 26, 2386, 4, 287, 17950, 1118, 265, 6885, 121, 4, 5195, 707, 3571, 279, 2004, 4, 2630, 299, 3907, 20, 915, 5610, 543, 883, 765, 527, 7, 24490, 9197, 9144, 4, 17814, 517, 1472, 988, 4, 4703, 16074, 403, 37554, 20, 988, 4359, 5181, 2735, 21080, 20, 4628, 1961, 6112, 20, 7213, 21812, 7, 8, 5297, 457, 47, 58, 1448, 4, 1196, 18685, 169, 13, 4192, 16, 40, 405, 244, 13, 321, 3768, 715, 5181, 33050, 2174, 388, 2952, 715, 273, 3190, 7602, 29, 6, 30256, 15677, 4, 23898, 2940, 26, 11156, 230, 2940, 26, 261, 4761, 18524, 20, 4230, 8061, 7, 5987, 457, 638, 22329, 37504, 1220, 787, 7, 36014, 18187, 2804, 20, 3198, 4, 15018, 20, 2930, 4602, 20, 341, 3501, 20, 4602, 10481, 3256, 6, 3713, 61, 205, 1146, 5, 6, 11820, 2142, 30, 6, 1698, 5976, 612, 4, 40, 26, 1083, 2509, 211, 4, 29581, 1578, 446, 396, 23, 1226, 549, 20, 668, 24937, 7, 51, 29777, 1833, 4, 4, 19584, 20, 135, 2074, 2074, 208, 9, 219, 2074, 2074, 139, 103, 613, 1706, 20, 9712, 16600, 135, 2074, 2074, 208, 9, 656, 2074, 2074, 139, 21809, 20, 4119, 81, 18530, 13, 17526, 2892, 135, 2074, 2074, 208, 9, 198, 2074, 2074, 139, 103, 613, 1706, 20, 383, 135, 2074, 2074, 208, 9, 402, 2074, 2074, 139, 10794, 20, 17417, 4106, 135, 2074, 2074, 208, 9, 208, 2074, 2074, 139, 4666, 704, 543, 20, 4647, 13484, 81, 401, 7947, 2892, 135, 2074, 2074, 208, 9, 208, 2074, 2074, 139, 715, 704, 543, 20, 2467, 454, 135, 2074, 2074, 208, 9, 116, 2074, 2074, 139, 4666, 704, 543, 20, 4647, 13484, 81, 401, 7947, 2892, 135, 2074, 2074, 208, 9, 54, 2074, 2074, 139, 715, 704, 543, 20, 4647, 13484, 81, 401, 7947, 2892, 135, 2074, 2074, 215, 9, 908, 2074, 2074, 139, 964, 25635, 543, 20, 12664, 1011, 81, 401, 13957, 44, 7068, 4, 24468, 1456, 20, 135, 2074, 2074, 208, 9, 274, 2074, 2074, 139, 305, 12095, 20, 2490, 7, 12021, 8513, 23987, 683, 3469, 4, 636, 26, 457, 6973, 4076, 764, 44, 9217, 34, 13700, 7, 10247, 783, 22552, 44, 598, 6264, 13, 47, 3140, 2719, 361, 82, 7065, 279, 7, 739, 2885, 11293, 11416, 110, 6203, 8252, 4, 10188, 4721, 13, 6, 7612, 7, 5210, 17, 102, 1348, 1092, 3140, 2719, 8, 2523, 4307, 19, 11355, 1162, 2159, 4, 4, 19758, 9264, 1859, 20, 36, 4, 6885, 1150, 5, 3129, 12106, 8, 3139, 13167, 4, 40, 4, 321, 17069, 63, 33, 690, 1012, 15, 7206, 22786, 4, 54, 4, 388, 30776, 28567, 5560, 2267, 20, 13739, 3085, 2414, 22766, 247, 2914, 3129, 12106, 4, 24648, 2875, 2914, 23, 13487, 7, 119, 14, 26172, 765, 22132, 4, 12598, 3085, 5211, 7167, 13, 1159, 1588, 420, 5470, 4, 15779, 668, 1440, 37728, 12, 1101, 20448, 7, 24671, 7484, 19539, 4313, 11, 4, 85, 4, 3569, 615, 1277, 33, 10, 2018, 16, 93, 2818, 279, 4, 82, 4, 15906, 8402, 11993, 13, 4832, 15, 1783, 8, 3672, 25442, 974, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 7, 5297, 457, 4124, 135, 2074, 2074, 208, 9, 465, 2074, 2074, 139, 20, 27672, 22215, 11355, 1162, 2159, 110, 8803, 7, 18029, 527, 17, 2377, 16, 7400, 26, 16875, 7, 102, 1344, 36897, 709, 135, 2074, 2074, 208, 9, 400, 2074, 2074, 139, 20, 7435, 67, 7091, 1841, 7, 29382, 263, 13, 434, 7, 434, 4, 7435, 490, 636, 26, 457, 14505, 135, 2074, 2074, 208, 9, 274, 2074, 2074, 139, 20, 9899, 283, 26, 283, 29251, 7, 135, 2074, 2074, 1794, 440, 1940, 8559, 2074, 2074, 139, 407, 4828, 787, 779, 7, 24490, 9197, 135, 2074, 2074, 208, 9, 219, 2074, 2074, 139, 621, 20, 15029, 2414, 23592, 7, 2095, 207, 1194, 2281, 10, 32305, 35429, 9510, 4015, 41, 126, 9, 330, 7, 61, 102, 9921, 3947, 4, 410, 7, 663, 2183, 8478, 5, 12417, 4, 54, 2917, 4576, 5884, 401, 496, 41, 1649, 667, 4, 3246, 17178, 16921, 23840, 3844, 4084, 23046, 63, 1676, 234, 7, 986, 8, 188, 663, 3237, 4, 4, 28953, 3409, 11808, 18721, 9504, 2316, 20, 4290, 13, 3978, 30074, 20612, 8, 3140, 2719, 7, 3109, 6973, 4076, 764, 19, 5488, 4, 124, 19, 11355, 1162, 2159, 205, 5166, 2750, 2135, 25, 6, 7612, 4, 9587, 9360, 5222, 20187, 20, 6470, 259, 8, 19647, 707, 7868, 7302, 1954, 10, 2018, 4, 4918, 26, 2935, 245, 20, 7552, 2095, 7, 8, 362, 20842, 4, 30256, 15677, 25, 6, 702, 752, 57, 12141, 58, 10882, 7031, 387, 4, 271, 21, 1472, 32, 9537, 23174, 10, 2018, 4, 18, 1337, 30256, 4771, 17445, 17, 135, 2074, 2074, 37033, 1047, 12288, 18566, 440, 1940, 7277, 2074, 2074, 139, 4, 19604, 19307, 10395, 20, 5891, 34, 2336, 5224, 12561, 26, 2386, 4, 287, 17950, 1118, 265, 6885, 121, 4, 5195, 707, 3571, 279, 2004, 4, 2630, 299, 3907, 20, 915, 5610, 543, 883, 765, 527, 7, 24490, 9197, 9144, 4, 17814, 517, 1472, 988, 4, 4703, 16074, 403, 37554, 20, 988, 4359, 5181, 2735, 21080, 20, 4628, 1961, 6112, 20, 7213, 21812, 7, 8, 5297, 457, 47, 58, 1448, 4, 1196, 18685, 169, 13, 4192, 16, 40, 405, 244, 13, 321, 3768, 715, 5181, 33050, 2174, 388, 2952, 715, 273, 3190, 7602, 29, 6, 30256, 15677, 4, 23898, 2940, 26, 11156, 230, 2940, 26, 261, 4761, 18524, 20, 4230, 8061, 7, 5987, 457, 638, 22329, 37504, 1220, 787, 7, 36014, 18187, 2804, 20, 3198, 4, 15018, 20, 2930, 4602, 20, 341, 3501, 20, 4602, 10481, 3256, 6, 3713, 61, 205, 1146, 5, 6, 11820, 2142, 30, 6, 1698, 5976, 612, 4, 40, 26, 1083, 2509, 211, 4, 29581, 1578, 446, 396, 23, 1226, 549, 20, 668, 24937, 7, 51, 29777, 1833, 4, 4, 19584, 20, 135, 2074, 2074, 208, 9, 219, 2074, 2074, 139, 103, 613, 1706, 20, 9712, 16600, 135, 2074, 2074, 208, 9, 656, 2074, 2074, 139, 21809, 20, 4119, 81, 18530, 13, 17526, 2892, 135, 2074, 2074, 208, 9, 198, 2074, 2074, 139, 103, 613, 1706, 20, 383, 135, 2074, 2074, 208, 9, 402, 2074, 2074, 139, 10794, 20, 17417, 4106, 135, 2074, 2074, 208, 9, 208, 2074, 2074, 139, 4666, 704, 543, 20, 4647, 13484, 81, 401, 7947, 2892, 135, 2074, 2074, 208, 9, 208, 2074, 2074, 139, 715, 704, 543, 20, 2467, 454, 135, 2074, 2074, 208, 9, 116, 2074, 2074, 139, 4666, 704, 543, 20, 4647, 13484, 81, 401, 7947, 2892, 135, 2074, 2074, 208, 9, 54, 2074, 2074, 139, 715, 704, 543, 20, 4647, 13484, 81, 401, 7947, 2892, 135, 2074, 2074, 215, 9, 908, 2074, 2074, 139, 964, 25635, 543, 20, 12664, 1011, 81, 401, 13957, 44, 7068, 4, 24468, 1456, 20, 135, 2074, 2074, 208, 9, 274, 2074, 2074, 139, 305, 12095, 20, 2490, 7, 12021, 8513, 23987, 683, 3469, 4, 636, 26, 457, 6973, 4076, 764, 44, 9217, 34, 13700, 7, 10247, 783, 22552, 44, 598, 6264, 13, 47, 3140, 2719, 361, 82, 7065, 279, 7, 739, 2885, 11293, 11416, 110, 6203, 8252, 4, 10188, 4721, 13, 6, 7612, 7, 5210, 17, 102, 1348, 1092, 3140, 2719, 8, 2523, 4307, 19, 11355, 1162, 2159, 4, 4, 19758, 9264, 1859, 20, 36, 4, 6885, 1150, 5, 3129, 12106, 8, 3139, 13167, 4, 40, 4, 321, 17069, 63, 33, 690, 1012, 15, 7206, 22786, 4, 54, 4, 388, 30776, 28567, 5560, 2267, 20, 13739, 3085, 2414, 22766, 247, 2914, 3129, 12106, 4, 24648, 2875, 2914, 23, 13487, 7, 119, 14, 26172, 765, 22132, 4, 12598, 3085, 5211, 7167, 13, 1159, 1588, 420, 5470, 4, 15779, 668, 1440, 37728, 12, 1101, 20448, 7, 24671, 7484, 19539, 4313, 11, 4, 85, 4, 3569, 615, 1277, 33, 10, 2018, 16, 93, 2818, 279, 4, 82, 4, 15906, 8402, 11993, 13, 4832, 15, 1783, 8, 3672, 25442, 974, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
94,125
30125
[ 5493, 305, 10421, 20, 9866, 1057, 627, 12, 1223, 7947, 7341, 5838, 205, 30746, 5, 2561, 30, 26021, 11, 44, 5216, 3690, 12, 2900, 7488, 836, 936, 11, 44, 449, 12544, 12, 18758, 757, 5, 1107, 7385, 5, 502, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 8738, 1541, 91, 12, 30393, 507, 5, 6979, 15, 98, 15958, 7, 205, 30746, 5, 2561, 11, 44, 2127, 5003, 12, 11283, 7385, 5, 1098, 5, 3713, 11, 44, 10536, 28566, 12, 22765, 15518, 1939, 5, 1963, 12, 205, 30746, 5, 2715, 11, 11, 44, 351, 10721, 2365, 12, 2768, 910, 608, 11, 44, 351, 10721, 1827, 12, 2768, 8, 308, 910, 608, 277, 1479, 8, 240, 11, 44, 430, 20215, 12, 3302, 308, 630, 429, 481, 11, 44, 430, 25972, 12, 3664, 4370, 277, 535, 240, 11, 44, 17446, 2646, 777, 12, 11075, 21699, 7, 15284, 349, 11, 44, 8030, 2646, 1520, 12, 3302, 910, 563, 11, 44, 351, 24043, 12, 5921, 9714, 11, 27730, 305, 10421, 20, 4419, 7728, 3673, 30, 15031, 27730, 20, 36, 4, 26901, 14530, 32509, 1230, 4, 40, 4, 10494, 8032, 4, 54, 4, 1223, 7947, 7341, 5838, 1051, 12, 2531, 662, 11, 4, 4, 85, 4, 10567, 15699, 3051, 4, 321, 7421, 261, 1891, 5833, 9131, 18794, 2481, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 9866, 1057, 627, 12, 1223, 7947, 7341, 5838, 205, 30746, 5, 2561, 30, 26021, 11, 44, 5216, 3690, 12, 2900, 7488, 836, 936, 11, 44, 449, 12544, 12, 18758, 757, 5, 1107, 7385, 5, 502, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 8738, 1541, 91, 12, 30393, 507, 5, 6979, 15, 98, 15958, 7, 205, 30746, 5, 2561, 11, 44, 2127, 5003, 12, 11283, 7385, 5, 1098, 5, 3713, 11, 44, 10536, 28566, 12, 22765, 15518, 1939, 5, 1963, 12, 205, 30746, 5, 2715, 11, 11, 44, 351, 10721, 2365, 12, 2768, 910, 608, 11, 44, 351, 10721, 1827, 12, 2768, 8, 308, 910, 608, 277, 1479, 8, 240, 11, 44, 430, 20215, 12, 3302, 308, 630, 429, 481, 11, 44, 430, 25972, 12, 3664, 4370, 277, 535, 240, 11, 44, 17446, 2646, 777, 12, 11075, 21699, 7, 15284, 349, 11, 44, 8030, 2646, 1520, 12, 3302, 910, 563, 11, 44, 351, 24043, 12, 5921, 9714, 11, 27730, 305, 10421, 20, 4419, 7728, 3673, 30, 15031, 27730, 20, 36, 4, 26901, 14530, 32509, 1230, 4, 40, 4, 10494, 8032, 4, 54, 4, 1223, 7947, 7341, 5838, 1051, 12, 2531, 662, 11, 4, 4, 85, 4, 10567, 15699, 3051, 4, 321, 7421, 261, 1891, 5833, 9131, 18794, 2481, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
94,125
30125
[ 5493, 305, 10421, 20, 9866, 1057, 627, 12, 1223, 7947, 7341, 5838, 205, 30746, 5, 2561, 30, 26021, 11, 44, 5216, 3690, 12, 2900, 7488, 836, 936, 11, 44, 449, 12544, 12, 18758, 757, 5, 1107, 7385, 5, 502, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 8738, 1541, 91, 12, 30393, 507, 5, 6979, 15, 98, 15958, 7, 205, 30746, 5, 2561, 11, 44, 2127, 5003, 12, 11283, 7385, 5, 1098, 5, 3713, 11, 44, 10536, 28566, 12, 22765, 15518, 1939, 5, 1963, 12, 205, 30746, 5, 2715, 11, 11, 44, 351, 10721, 2365, 12, 2768, 910, 608, 11, 44, 351, 10721, 1827, 12, 2768, 8, 308, 910, 608, 277, 1479, 8, 240, 11, 44, 430, 20215, 12, 3302, 308, 630, 429, 481, 11, 44, 430, 25972, 12, 3664, 4370, 277, 535, 240, 11, 44, 17446, 2646, 777, 12, 11075, 21699, 7, 15284, 349, 11, 44, 8030, 2646, 1520, 12, 3302, 910, 563, 11, 44, 351, 24043, 12, 5921, 9714, 11, 27730, 305, 10421, 20, 4419, 28897, 20350, 4036, 20, 11706, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 9866, 1057, 627, 12, 1223, 7947, 7341, 5838, 205, 30746, 5, 2561, 30, 26021, 11, 44, 5216, 3690, 12, 2900, 7488, 836, 936, 11, 44, 449, 12544, 12, 18758, 757, 5, 1107, 7385, 5, 502, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 8738, 1541, 91, 12, 30393, 507, 5, 6979, 15, 98, 15958, 7, 205, 30746, 5, 2561, 11, 44, 2127, 5003, 12, 11283, 7385, 5, 1098, 5, 3713, 11, 44, 10536, 28566, 12, 22765, 15518, 1939, 5, 1963, 12, 205, 30746, 5, 2715, 11, 11, 44, 351, 10721, 2365, 12, 2768, 910, 608, 11, 44, 351, 10721, 1827, 12, 2768, 8, 308, 910, 608, 277, 1479, 8, 240, 11, 44, 430, 20215, 12, 3302, 308, 630, 429, 481, 11, 44, 430, 25972, 12, 3664, 4370, 277, 535, 240, 11, 44, 17446, 2646, 777, 12, 11075, 21699, 7, 15284, 349, 11, 44, 8030, 2646, 1520, 12, 3302, 910, 563, 11, 44, 351, 24043, 12, 5921, 9714, 11, 27730, 305, 10421, 20, 4419, 28897, 20350, 4036, 20, 11706, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
94,125
30125
[ 5493, 305, 10421, 20, 9866, 1057, 627, 12, 1223, 7947, 7341, 5838, 205, 30746, 5, 2561, 30, 26021, 11, 44, 5216, 3690, 12, 2900, 7488, 836, 936, 11, 44, 449, 12544, 12, 18758, 757, 5, 1107, 7385, 5, 502, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 8738, 1541, 91, 12, 30393, 507, 5, 6979, 15, 98, 15958, 7, 205, 30746, 5, 2561, 11, 44, 2127, 5003, 12, 11283, 7385, 5, 1098, 5, 3713, 11, 44, 10536, 28566, 12, 22765, 15518, 1939, 5, 1963, 12, 205, 30746, 5, 2715, 11, 11, 44, 351, 10721, 2365, 12, 2768, 910, 608, 11, 44, 351, 10721, 1827, 12, 2768, 8, 308, 910, 608, 277, 1479, 8, 240, 11, 44, 430, 20215, 12, 3302, 308, 630, 429, 481, 11, 44, 430, 25972, 12, 3664, 4370, 277, 535, 240, 11, 44, 17446, 2646, 777, 12, 11075, 21699, 7, 15284, 349, 11, 44, 8030, 2646, 1520, 12, 3302, 910, 563, 11, 44, 351, 24043, 12, 5921, 9714, 11, 27730, 305, 10421, 20, 4419, 3246, 38086, 605, 20, 135, 2074, 2074, 657, 12996, 9, 215, 9, 479, 2074, 2074, 139, 8976, 20, 1591, 393, 3417, 230, 5783, 10097, 12021, 9, 8076, 7074, 9, 1057, 1630, 2074, 15850, 787, 9, 13047, 2074, 313, 23487, 9, 27197, 2074, 27484, 9, 2243, 25159, 9, 14834, 583, 286, 21765, 9, 34480, 29215, 9, 12920, 4752, 527, 305, 527, 9, 19224, 135, 2074, 2074, 657, 12996, 9, 215, 9, 1031, 2074, 2074, 139, 8015, 20, 4229, 3332, 230, 5783, 10097, 12021, 9, 15684, 2074, 7074, 9, 1057, 777, 2074, 15850, 787, 9, 6675, 2074, 313, 23487, 9, 22840, 2074, 27484, 9, 2263, 25159, 9, 24384, 286, 21765, 9, 31852, 29215, 9, 19637, 4752, 527, 305, 527, 9, 29918, 135, 2074, 2074, 657, 12996, 9, 208, 9, 627, 2074, 2074, 139, 8368, 20, 3693, 3332, 230, 5783, 10097, 12021, 9, 15327, 2074, 7074, 9, 1057, 400, 2074, 15850, 787, 9, 6743, 2074, 313, 23487, 9, 27098, 2074, 27484, 9, 1738, 25159, 9, 21221, 286, 21765, 9, 31814, 29215, 9, 18487, 2074, 4752, 527, 305, 527, 9, 30937, 135, 2074, 2074, 657, 12996, 9, 208, 9, 656, 2074, 2074, 139, 8559, 20, 11711, 3332, 230, 5783, 10097, 9517, 9, 4220, 2074, 16432, 806, 190, 9, 434, 2074, 9261, 34, 9, 3070, 1491, 9, 9998, 473, 9, 4956, 2989, 9, 2457, 21967, 9, 1083, 1955, 31453, 9, 400, 135, 2074, 2074, 657, 12996, 9, 208, 9, 36, 2074, 2074, 139, 8015, 20, 7193, 3417, 230, 5783, 10097, 7560, 9, 1342, 9275, 9, 1308, 4424, 12, 7234, 11, 185, 13569, 5753, 12, 30339, 11, 185, 1205, 18230, 17497, 279, 9, 13559, 2074, 4771, 17445, 9, 656, 38460, 21960, 390, 9, 2805, 135, 2074, 2074, 657, 12996, 9, 208, 9, 36, 2074, 2074, 139, 8015, 20, 7193, 3417, 230, 5783, 10097, 11333, 1717, 9, 434, 135, 2074, 2074, 657, 12996, 9, 208, 9, 465, 2074, 2074, 139, 7277, 20, 4552, 3332, 230, 5783, 10097, 5753, 9, 5081, 9, 13470, 261, 86, 704, 19591, 790, 157, 9, 394, 2074, 135, 2074, 2074, 657, 12996, 9, 208, 9, 656, 2074, 2074, 139, 8559, 20, 11711, 3332, 230, 5783, 10097, 9039, 9, 6737, 17497, 279, 9, 3066, 4901, 9, 3545, 4, 19584, 20, 261, 786, 116, 23896, 35319, 16912, 6530, 18186, 1215, 487, 135, 2074, 2074, 657, 12996, 9, 215, 9, 219, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 215, 9, 627, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 215, 9, 908, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 215, 9, 880, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 215, 9, 1083, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 208, 9, 54, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 208, 9, 116, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 208, 9, 208, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 208, 9, 402, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 208, 9, 198, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 208, 9, 656, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 208, 9, 219, 2074, 2074, 139, 487, 230, 5783, 10097, 11138, 8872, 27680, 5404, 5222, 2550, 403, 2697, 6273, 403, 27294, 237, 5368, 11073, 1799, 4001, 8234, 1832, 3598, 68, 9, 1224, 7068, 2450, 2630, 11049, 321, 22135, 287, 5222, 343, 3907, 7130, 715, 6112, 2844, 10264, 20893, 2047, 403, 11771, 4737, 4765, 6458, 21080, 487, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 219, 2074, 2074, 139, 2047, 403, 11771, 3153, 403, 12693, 453, 3409, 20893, 261, 4758, 278, 3340, 4480, 316, 7683, 1175, 5829, 39, 1514, 152, 3873, 1982, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 656, 2074, 2074, 139, 321, 22135, 287, 5222, 343, 3907, 7130, 715, 6112, 273, 31500, 2047, 27693, 9, 35444, 3907, 44, 7130, 715, 6112, 11138, 8872, 27680, 9, 11415, 4074, 15825, 20187, 6293, 321, 3768, 715, 5181, 33050, 2174, 388, 2952, 715, 273, 3190, 7602, 6392, 44, 3413, 7066, 3916, 230, 3420, 11138, 8872, 27680, 9, 11415, 4074, 15825, 20187, 44, 39493, 32124, 11138, 8872, 27680, 9, 11415, 4074, 15825, 20187, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 198, 2074, 2074, 139, 2047, 403, 11771, 3153, 403, 12693, 453, 3409, 20893, 261, 4758, 278, 3340, 4480, 316, 7683, 1175, 5829, 39, 1514, 152, 3873, 1982, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 402, 2074, 2074, 139, 5404, 5222, 2550, 403, 2697, 6273, 403, 27294, 237, 5368, 11073, 273, 31500, 2047, 27693, 9, 35444, 3907, 44, 2630, 2844, 4969, 2400, 4024, 1341, 11138, 8872, 27680, 9, 35444, 3907, 6293, 273, 31500, 5265, 18164, 26848, 32104, 12, 283, 11, 6392, 44, 39493, 32124, 11138, 8872, 27680, 9, 11415, 4074, 15825, 20187, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 402, 2074, 2074, 139, 7068, 2450, 2630, 11049, 7068, 2450, 2630, 11049, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 402, 2074, 2074, 139, 230, 5783, 10097, 11138, 8872, 27680, 2827, 15325, 7, 14337, 9, 35444, 3907, 3190, 18250, 135, 2074 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5493, 305, 10421, 20, 9866, 1057, 627, 12, 1223, 7947, 7341, 5838, 205, 30746, 5, 2561, 30, 26021, 11, 44, 5216, 3690, 12, 2900, 7488, 836, 936, 11, 44, 449, 12544, 12, 18758, 757, 5, 1107, 7385, 5, 502, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 8738, 1541, 91, 12, 30393, 507, 5, 6979, 15, 98, 15958, 7, 205, 30746, 5, 2561, 11, 44, 2127, 5003, 12, 11283, 7385, 5, 1098, 5, 3713, 11, 44, 10536, 28566, 12, 22765, 15518, 1939, 5, 1963, 12, 205, 30746, 5, 2715, 11, 11, 44, 351, 10721, 2365, 12, 2768, 910, 608, 11, 44, 351, 10721, 1827, 12, 2768, 8, 308, 910, 608, 277, 1479, 8, 240, 11, 44, 430, 20215, 12, 3302, 308, 630, 429, 481, 11, 44, 430, 25972, 12, 3664, 4370, 277, 535, 240, 11, 44, 17446, 2646, 777, 12, 11075, 21699, 7, 15284, 349, 11, 44, 8030, 2646, 1520, 12, 3302, 910, 563, 11, 44, 351, 24043, 12, 5921, 9714, 11, 27730, 305, 10421, 20, 4419, 3246, 38086, 605, 20, 135, 2074, 2074, 657, 12996, 9, 215, 9, 479, 2074, 2074, 139, 8976, 20, 1591, 393, 3417, 230, 5783, 10097, 12021, 9, 8076, 7074, 9, 1057, 1630, 2074, 15850, 787, 9, 13047, 2074, 313, 23487, 9, 27197, 2074, 27484, 9, 2243, 25159, 9, 14834, 583, 286, 21765, 9, 34480, 29215, 9, 12920, 4752, 527, 305, 527, 9, 19224, 135, 2074, 2074, 657, 12996, 9, 215, 9, 1031, 2074, 2074, 139, 8015, 20, 4229, 3332, 230, 5783, 10097, 12021, 9, 15684, 2074, 7074, 9, 1057, 777, 2074, 15850, 787, 9, 6675, 2074, 313, 23487, 9, 22840, 2074, 27484, 9, 2263, 25159, 9, 24384, 286, 21765, 9, 31852, 29215, 9, 19637, 4752, 527, 305, 527, 9, 29918, 135, 2074, 2074, 657, 12996, 9, 208, 9, 627, 2074, 2074, 139, 8368, 20, 3693, 3332, 230, 5783, 10097, 12021, 9, 15327, 2074, 7074, 9, 1057, 400, 2074, 15850, 787, 9, 6743, 2074, 313, 23487, 9, 27098, 2074, 27484, 9, 1738, 25159, 9, 21221, 286, 21765, 9, 31814, 29215, 9, 18487, 2074, 4752, 527, 305, 527, 9, 30937, 135, 2074, 2074, 657, 12996, 9, 208, 9, 656, 2074, 2074, 139, 8559, 20, 11711, 3332, 230, 5783, 10097, 9517, 9, 4220, 2074, 16432, 806, 190, 9, 434, 2074, 9261, 34, 9, 3070, 1491, 9, 9998, 473, 9, 4956, 2989, 9, 2457, 21967, 9, 1083, 1955, 31453, 9, 400, 135, 2074, 2074, 657, 12996, 9, 208, 9, 36, 2074, 2074, 139, 8015, 20, 7193, 3417, 230, 5783, 10097, 7560, 9, 1342, 9275, 9, 1308, 4424, 12, 7234, 11, 185, 13569, 5753, 12, 30339, 11, 185, 1205, 18230, 17497, 279, 9, 13559, 2074, 4771, 17445, 9, 656, 38460, 21960, 390, 9, 2805, 135, 2074, 2074, 657, 12996, 9, 208, 9, 36, 2074, 2074, 139, 8015, 20, 7193, 3417, 230, 5783, 10097, 11333, 1717, 9, 434, 135, 2074, 2074, 657, 12996, 9, 208, 9, 465, 2074, 2074, 139, 7277, 20, 4552, 3332, 230, 5783, 10097, 5753, 9, 5081, 9, 13470, 261, 86, 704, 19591, 790, 157, 9, 394, 2074, 135, 2074, 2074, 657, 12996, 9, 208, 9, 656, 2074, 2074, 139, 8559, 20, 11711, 3332, 230, 5783, 10097, 9039, 9, 6737, 17497, 279, 9, 3066, 4901, 9, 3545, 4, 19584, 20, 261, 786, 116, 23896, 35319, 16912, 6530, 18186, 1215, 487, 135, 2074, 2074, 657, 12996, 9, 215, 9, 219, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 215, 9, 627, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 215, 9, 908, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 215, 9, 880, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 215, 9, 1083, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 208, 9, 54, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 208, 9, 116, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 208, 9, 208, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 208, 9, 402, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 208, 9, 198, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 208, 9, 656, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 208, 9, 219, 2074, 2074, 139, 487, 230, 5783, 10097, 11138, 8872, 27680, 5404, 5222, 2550, 403, 2697, 6273, 403, 27294, 237, 5368, 11073, 1799, 4001, 8234, 1832, 3598, 68, 9, 1224, 7068, 2450, 2630, 11049, 321, 22135, 287, 5222, 343, 3907, 7130, 715, 6112, 2844, 10264, 20893, 2047, 403, 11771, 4737, 4765, 6458, 21080, 487, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 219, 2074, 2074, 139, 2047, 403, 11771, 3153, 403, 12693, 453, 3409, 20893, 261, 4758, 278, 3340, 4480, 316, 7683, 1175, 5829, 39, 1514, 152, 3873, 1982, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 656, 2074, 2074, 139, 321, 22135, 287, 5222, 343, 3907, 7130, 715, 6112, 273, 31500, 2047, 27693, 9, 35444, 3907, 44, 7130, 715, 6112, 11138, 8872, 27680, 9, 11415, 4074, 15825, 20187, 6293, 321, 3768, 715, 5181, 33050, 2174, 388, 2952, 715, 273, 3190, 7602, 6392, 44, 3413, 7066, 3916, 230, 3420, 11138, 8872, 27680, 9, 11415, 4074, 15825, 20187, 44, 39493, 32124, 11138, 8872, 27680, 9, 11415, 4074, 15825, 20187, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 198, 2074, 2074, 139, 2047, 403, 11771, 3153, 403, 12693, 453, 3409, 20893, 261, 4758, 278, 3340, 4480, 316, 7683, 1175, 5829, 39, 1514, 152, 3873, 1982, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 402, 2074, 2074, 139, 5404, 5222, 2550, 403, 2697, 6273, 403, 27294, 237, 5368, 11073, 273, 31500, 2047, 27693, 9, 35444, 3907, 44, 2630, 2844, 4969, 2400, 4024, 1341, 11138, 8872, 27680, 9, 35444, 3907, 6293, 273, 31500, 5265, 18164, 26848, 32104, 12, 283, 11, 6392, 44, 39493, 32124, 11138, 8872, 27680, 9, 11415, 4074, 15825, 20187, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 402, 2074, 2074, 139, 7068, 2450, 2630, 11049, 7068, 2450, 2630, 11049, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 402, 2074, 2074, 139, 230, 5783, 10097, 11138, 8872, 27680, 2827, 15325, 7, 14337, 9, 35444, 3907, 3190, 18250, 135, 2074 ]
94,125
30125
[ 656, 2074, 2074, 139, 8559, 20, 11711, 3332, 230, 5783, 10097, 9039, 9, 6737, 17497, 279, 9, 3066, 4901, 9, 3545, 4, 19584, 20, 261, 786, 116, 23896, 35319, 16912, 6530, 18186, 1215, 487, 135, 2074, 2074, 657, 12996, 9, 215, 9, 219, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 215, 9, 627, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 215, 9, 908, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 215, 9, 880, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 215, 9, 1083, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 208, 9, 54, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 208, 9, 116, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 208, 9, 208, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 208, 9, 402, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 208, 9, 198, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 208, 9, 656, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 208, 9, 219, 2074, 2074, 139, 487, 230, 5783, 10097, 11138, 8872, 27680, 5404, 5222, 2550, 403, 2697, 6273, 403, 27294, 237, 5368, 11073, 1799, 4001, 8234, 1832, 3598, 68, 9, 1224, 7068, 2450, 2630, 11049, 321, 22135, 287, 5222, 343, 3907, 7130, 715, 6112, 2844, 10264, 20893, 2047, 403, 11771, 4737, 4765, 6458, 21080, 487, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 219, 2074, 2074, 139, 2047, 403, 11771, 3153, 403, 12693, 453, 3409, 20893, 261, 4758, 278, 3340, 4480, 316, 7683, 1175, 5829, 39, 1514, 152, 3873, 1982, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 656, 2074, 2074, 139, 321, 22135, 287, 5222, 343, 3907, 7130, 715, 6112, 273, 31500, 2047, 27693, 9, 35444, 3907, 44, 7130, 715, 6112, 11138, 8872, 27680, 9, 11415, 4074, 15825, 20187, 6293, 321, 3768, 715, 5181, 33050, 2174, 388, 2952, 715, 273, 3190, 7602, 6392, 44, 3413, 7066, 3916, 230, 3420, 11138, 8872, 27680, 9, 11415, 4074, 15825, 20187, 44, 39493, 32124, 11138, 8872, 27680, 9, 11415, 4074, 15825, 20187, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 198, 2074, 2074, 139, 2047, 403, 11771, 3153, 403, 12693, 453, 3409, 20893, 261, 4758, 278, 3340, 4480, 316, 7683, 1175, 5829, 39, 1514, 152, 3873, 1982, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 402, 2074, 2074, 139, 5404, 5222, 2550, 403, 2697, 6273, 403, 27294, 237, 5368, 11073, 273, 31500, 2047, 27693, 9, 35444, 3907, 44, 2630, 2844, 4969, 2400, 4024, 1341, 11138, 8872, 27680, 9, 35444, 3907, 6293, 273, 31500, 5265, 18164, 26848, 32104, 12, 283, 11, 6392, 44, 39493, 32124, 11138, 8872, 27680, 9, 11415, 4074, 15825, 20187, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 402, 2074, 2074, 139, 7068, 2450, 2630, 11049, 7068, 2450, 2630, 11049, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 402, 2074, 2074, 139, 230, 5783, 10097, 11138, 8872, 27680, 2827, 15325, 7, 14337, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 402, 2074, 2074, 139, 230, 5783, 10097, 11138, 8872, 27680, 2827, 15325, 7, 14337, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 208, 2074, 2074, 139, 5404, 5222, 2550, 403, 2697, 6273, 403, 27294, 237, 5368, 11073, 273, 31500, 2047, 27693, 9, 35444, 3907, 44, 2630, 2844, 4969, 2400, 4024, 1341, 11138, 8872, 27680, 9, 35444, 3907, 6293, 321, 3768, 715, 5181, 33050, 2174, 388, 2952, 715, 273, 3190, 7602, 6392, 44, 39493, 32124, 11138, 8872, 27680, 9, 11415, 4074, 15825, 20187, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 208, 2074, 2074, 139, 6458, 21080, 6458, 21080, 11138, 8872, 27680, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 116, 2074, 2074, 139, 230, 5783, 10097, 11138, 8872, 27680, 2827, 15325, 7, 14337, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 116, 2074, 2074, 139, 230, 5783, 10097, 11138, 8872, 27680, 2827, 15325, 7, 14337, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 116, 2074, 2074, 139, 2844, 10264, 20893, 273, 31500, 2047, 27693, 9, 35444, 3907, 44, 2630, 2844, 4969, 2400, 4024, 1341, 11138, 8872, 27680, 9, 35444, 3907, 6293, 321, 3768, 715, 5181, 33050, 2174, 388, 2952, 715, 273, 3190, 7602, 6392, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 54, 2074, 2074, 139, 230, 5783, 10097, 11138, 8872, 27680, 2827, 15325, 7, 14337, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 54, 2074, 2074, 139, 6458, 21080, 6458, 21080, 11138, 8872, 27680, 9, 35444, 3907, 6293, 321, 3768, 715, 5181, 33050, 2174, 388, 2952, 715, 273, 3190, 7602, 6392, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 54, 2074, 2074, 139, 230, 5783, 10097, 11138, 8872, 27680, 2827, 15325, 7, 14337, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 215, 9, 1083, 2074, 2074, 139, 1799, 4001, 8234, 1832, 3598, 68, 9, 1224, 36014, 715, 5699, 11138, 8872, 27680, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 215, 9, 1083, 2074, 2074, 139, 1799, 4001, 8234, 1832, 3598, 68, 9, 1224, 36014, 715, 5699, 11138, 8872, 27680, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 215, 9, 880, 2074, 2074, 139, 4737, 4765, 401, 26, 452, 449, 3413, 2660, 8357, 12036, 2630, 2807, 2047, 24767, 4359, 3873, 3916, 2660, 3864, 1510, 9, 35444, 3907, 6293, 4359, 3873, 3916, 2660, 3864, 1510, 2186, 4, 6392, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 215, 9, 908, 2074, 2074, 139, 321, 22135, 287, 5222, 343, 3907, 7130, 715, 6112, 273, 31500, 2047, 27693, 9, 35444, 3907, 44, 7130, 715, 6112, 11138, 8872, 27680, 9, 35444, 3907, 6293, 343, 2450, 15073, 3340, 5641, 39, 2660, 7315, 7, 2047, 2379, 354, 7338, 2630, 1510, 2660, 5386, 51, 6392, 44, 3413, 7066, 3916, 230, 3420, 11138, 8872, 27680, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 215, 9, 627, 2074, 2074, 139, 6458, 21080, 6458 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 656, 2074, 2074, 139, 8559, 20, 11711, 3332, 230, 5783, 10097, 9039, 9, 6737, 17497, 279, 9, 3066, 4901, 9, 3545, 4, 19584, 20, 261, 786, 116, 23896, 35319, 16912, 6530, 18186, 1215, 487, 135, 2074, 2074, 657, 12996, 9, 215, 9, 219, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 215, 9, 627, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 215, 9, 908, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 215, 9, 880, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 215, 9, 1083, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 208, 9, 54, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 208, 9, 116, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 208, 9, 208, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 208, 9, 402, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 208, 9, 198, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 208, 9, 656, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 208, 9, 219, 2074, 2074, 139, 487, 230, 5783, 10097, 11138, 8872, 27680, 5404, 5222, 2550, 403, 2697, 6273, 403, 27294, 237, 5368, 11073, 1799, 4001, 8234, 1832, 3598, 68, 9, 1224, 7068, 2450, 2630, 11049, 321, 22135, 287, 5222, 343, 3907, 7130, 715, 6112, 2844, 10264, 20893, 2047, 403, 11771, 4737, 4765, 6458, 21080, 487, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 219, 2074, 2074, 139, 2047, 403, 11771, 3153, 403, 12693, 453, 3409, 20893, 261, 4758, 278, 3340, 4480, 316, 7683, 1175, 5829, 39, 1514, 152, 3873, 1982, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 656, 2074, 2074, 139, 321, 22135, 287, 5222, 343, 3907, 7130, 715, 6112, 273, 31500, 2047, 27693, 9, 35444, 3907, 44, 7130, 715, 6112, 11138, 8872, 27680, 9, 11415, 4074, 15825, 20187, 6293, 321, 3768, 715, 5181, 33050, 2174, 388, 2952, 715, 273, 3190, 7602, 6392, 44, 3413, 7066, 3916, 230, 3420, 11138, 8872, 27680, 9, 11415, 4074, 15825, 20187, 44, 39493, 32124, 11138, 8872, 27680, 9, 11415, 4074, 15825, 20187, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 198, 2074, 2074, 139, 2047, 403, 11771, 3153, 403, 12693, 453, 3409, 20893, 261, 4758, 278, 3340, 4480, 316, 7683, 1175, 5829, 39, 1514, 152, 3873, 1982, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 402, 2074, 2074, 139, 5404, 5222, 2550, 403, 2697, 6273, 403, 27294, 237, 5368, 11073, 273, 31500, 2047, 27693, 9, 35444, 3907, 44, 2630, 2844, 4969, 2400, 4024, 1341, 11138, 8872, 27680, 9, 35444, 3907, 6293, 273, 31500, 5265, 18164, 26848, 32104, 12, 283, 11, 6392, 44, 39493, 32124, 11138, 8872, 27680, 9, 11415, 4074, 15825, 20187, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 402, 2074, 2074, 139, 7068, 2450, 2630, 11049, 7068, 2450, 2630, 11049, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 402, 2074, 2074, 139, 230, 5783, 10097, 11138, 8872, 27680, 2827, 15325, 7, 14337, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 402, 2074, 2074, 139, 230, 5783, 10097, 11138, 8872, 27680, 2827, 15325, 7, 14337, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 208, 2074, 2074, 139, 5404, 5222, 2550, 403, 2697, 6273, 403, 27294, 237, 5368, 11073, 273, 31500, 2047, 27693, 9, 35444, 3907, 44, 2630, 2844, 4969, 2400, 4024, 1341, 11138, 8872, 27680, 9, 35444, 3907, 6293, 321, 3768, 715, 5181, 33050, 2174, 388, 2952, 715, 273, 3190, 7602, 6392, 44, 39493, 32124, 11138, 8872, 27680, 9, 11415, 4074, 15825, 20187, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 208, 2074, 2074, 139, 6458, 21080, 6458, 21080, 11138, 8872, 27680, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 116, 2074, 2074, 139, 230, 5783, 10097, 11138, 8872, 27680, 2827, 15325, 7, 14337, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 116, 2074, 2074, 139, 230, 5783, 10097, 11138, 8872, 27680, 2827, 15325, 7, 14337, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 116, 2074, 2074, 139, 2844, 10264, 20893, 273, 31500, 2047, 27693, 9, 35444, 3907, 44, 2630, 2844, 4969, 2400, 4024, 1341, 11138, 8872, 27680, 9, 35444, 3907, 6293, 321, 3768, 715, 5181, 33050, 2174, 388, 2952, 715, 273, 3190, 7602, 6392, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 54, 2074, 2074, 139, 230, 5783, 10097, 11138, 8872, 27680, 2827, 15325, 7, 14337, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 54, 2074, 2074, 139, 6458, 21080, 6458, 21080, 11138, 8872, 27680, 9, 35444, 3907, 6293, 321, 3768, 715, 5181, 33050, 2174, 388, 2952, 715, 273, 3190, 7602, 6392, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 54, 2074, 2074, 139, 230, 5783, 10097, 11138, 8872, 27680, 2827, 15325, 7, 14337, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 215, 9, 1083, 2074, 2074, 139, 1799, 4001, 8234, 1832, 3598, 68, 9, 1224, 36014, 715, 5699, 11138, 8872, 27680, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 215, 9, 1083, 2074, 2074, 139, 1799, 4001, 8234, 1832, 3598, 68, 9, 1224, 36014, 715, 5699, 11138, 8872, 27680, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 215, 9, 880, 2074, 2074, 139, 4737, 4765, 401, 26, 452, 449, 3413, 2660, 8357, 12036, 2630, 2807, 2047, 24767, 4359, 3873, 3916, 2660, 3864, 1510, 9, 35444, 3907, 6293, 4359, 3873, 3916, 2660, 3864, 1510, 2186, 4, 6392, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 215, 9, 908, 2074, 2074, 139, 321, 22135, 287, 5222, 343, 3907, 7130, 715, 6112, 273, 31500, 2047, 27693, 9, 35444, 3907, 44, 7130, 715, 6112, 11138, 8872, 27680, 9, 35444, 3907, 6293, 343, 2450, 15073, 3340, 5641, 39, 2660, 7315, 7, 2047, 2379, 354, 7338, 2630, 1510, 2660, 5386, 51, 6392, 44, 3413, 7066, 3916, 230, 3420, 11138, 8872, 27680, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 215, 9, 627, 2074, 2074, 139, 6458, 21080, 6458 ]
94,125
30125
[ 2074, 657, 12996, 9, 208, 9, 402, 2074, 2074, 139, 230, 5783, 10097, 11138, 8872, 27680, 2827, 15325, 7, 14337, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 208, 2074, 2074, 139, 5404, 5222, 2550, 403, 2697, 6273, 403, 27294, 237, 5368, 11073, 273, 31500, 2047, 27693, 9, 35444, 3907, 44, 2630, 2844, 4969, 2400, 4024, 1341, 11138, 8872, 27680, 9, 35444, 3907, 6293, 321, 3768, 715, 5181, 33050, 2174, 388, 2952, 715, 273, 3190, 7602, 6392, 44, 39493, 32124, 11138, 8872, 27680, 9, 11415, 4074, 15825, 20187, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 208, 2074, 2074, 139, 6458, 21080, 6458, 21080, 11138, 8872, 27680, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 116, 2074, 2074, 139, 230, 5783, 10097, 11138, 8872, 27680, 2827, 15325, 7, 14337, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 116, 2074, 2074, 139, 230, 5783, 10097, 11138, 8872, 27680, 2827, 15325, 7, 14337, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 116, 2074, 2074, 139, 2844, 10264, 20893, 273, 31500, 2047, 27693, 9, 35444, 3907, 44, 2630, 2844, 4969, 2400, 4024, 1341, 11138, 8872, 27680, 9, 35444, 3907, 6293, 321, 3768, 715, 5181, 33050, 2174, 388, 2952, 715, 273, 3190, 7602, 6392, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 54, 2074, 2074, 139, 230, 5783, 10097, 11138, 8872, 27680, 2827, 15325, 7, 14337, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 54, 2074, 2074, 139, 6458, 21080, 6458, 21080, 11138, 8872, 27680, 9, 35444, 3907, 6293, 321, 3768, 715, 5181, 33050, 2174, 388, 2952, 715, 273, 3190, 7602, 6392, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 54, 2074, 2074, 139, 230, 5783, 10097, 11138, 8872, 27680, 2827, 15325, 7, 14337, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 215, 9, 1083, 2074, 2074, 139, 1799, 4001, 8234, 1832, 3598, 68, 9, 1224, 36014, 715, 5699, 11138, 8872, 27680, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 215, 9, 1083, 2074, 2074, 139, 1799, 4001, 8234, 1832, 3598, 68, 9, 1224, 36014, 715, 5699, 11138, 8872, 27680, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 215, 9, 880, 2074, 2074, 139, 4737, 4765, 401, 26, 452, 449, 3413, 2660, 8357, 12036, 2630, 2807, 2047, 24767, 4359, 3873, 3916, 2660, 3864, 1510, 9, 35444, 3907, 6293, 4359, 3873, 3916, 2660, 3864, 1510, 2186, 4, 6392, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 215, 9, 908, 2074, 2074, 139, 321, 22135, 287, 5222, 343, 3907, 7130, 715, 6112, 273, 31500, 2047, 27693, 9, 35444, 3907, 44, 7130, 715, 6112, 11138, 8872, 27680, 9, 35444, 3907, 6293, 343, 2450, 15073, 3340, 5641, 39, 2660, 7315, 7, 2047, 2379, 354, 7338, 2630, 1510, 2660, 5386, 51, 6392, 44, 3413, 7066, 3916, 230, 3420, 11138, 8872, 27680, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 215, 9, 627, 2074, 2074, 139, 6458, 21080, 6458, 21080, 11138, 8872, 27680, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 215, 9, 627, 2074, 2074, 139, 7068, 2450, 2630, 11049, 7068, 2450, 2630, 11049, 9, 35444, 3907, 6293, 2818, 2807, 26848, 13635, 2493, 4001, 3340, 4480, 4074, 190, 2630, 2807, 2047, 24767, 2047, 2379, 354, 7338, 2630, 1510, 6392, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 215, 9, 627, 2074, 2074, 139, 4737, 4765, 401, 26, 452, 449, 3413, 2660, 8357, 12036, 2630, 2807, 2047, 24767, 4359, 3873, 3916, 2660, 3864, 1510, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 215, 9, 627, 2074, 2074, 139, 7068, 2450, 2630, 11049, 7068, 2450, 2630, 11049, 9, 35444, 3907, 6293, 2818, 2807, 26848, 13635, 2493, 4001, 3340, 4480, 4074, 190, 2630, 2807, 2047, 24767, 2047, 2379, 354, 7338, 2630, 1510, 6392, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 215, 9, 219, 2074, 2074, 139, 2844, 10264, 20893, 273, 31500, 2047, 27693, 9, 35444, 3907, 44, 2630, 2844, 4969, 2400, 4024, 1341, 11138, 8872, 27680, 9, 35444, 3907, 6293, 2047, 2379, 354, 7338, 2630, 1510, 2660, 5386, 51, 6392, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 215, 9, 219, 2074, 2074, 139, 230, 5783, 10097, 11138, 8872, 27680, 2827, 15325, 7, 14337, 9, 35444, 3907, 3190, 18250, 4, 18721, 7043, 2940, 12703, 12021, 7074, 6945, 5541, 10584, 279, 4227, 2842, 135, 2074, 2074, 657, 12996, 9, 208, 9, 656, 2074, 2074, 139, 8015, 20, 2106, 3332, 135, 2074, 2074, 37033, 1047, 12288, 18566, 440, 1940, 8368, 2074, 2074, 139, 2074, 465, 2074, 2326, 2074, 208, 2074, 583, 4186, 7522, 29112, 18721, 7043, 2940, 2550, 343, 3643, 12693, 1341, 9517, 4771, 17445, 135, 2074, 2074, 657, 12996, 9, 208, 9, 656, 2074, 2074, 139, 198, 20, 2143, 3417, 135, 2074, 2074, 37033, 1047, 12288, 18566, 440, 1940, 7277, 2074, 2074, 139, 4186, 7522, 29112, 135, 2074, 2074, 657, 12996, 9, 208, 9, 656, 2074, 2074, 139, 8015, 20, 2106, 3332, 14393, 4186, 7522, 29112, 135, 2074, 2074, 657, 12996, 9, 215, 9, 627, 2074, 2074, 139, 402, 20, 4129, 3332, 135, 2074, 2074, 37033, 1047, 12288, 18566, 2074, 2074, 139, 4186, 7522, 29112, 403, 4001, 1832, 9830, 33728, 7130, 715, 6112, 2550, 343, 3643, 12693, 1341, 4771, 17445, 135, 2074, 2074, 657, 12996, 9, 208, 9, 36, 2074, 2074, 139, 91, 20, 9433, 3332, 2143, 1608, 4186, 7522, 29112, 4, 2844, 3083, 453, 25190, 4706, 3399, 7043, 287, 2448, 20, 16657, 1414, 1671, 6199, 7, 20525, 1661, 7, 964, 37073, 1113, 7, 8407, 32509, 4888, 4, 27730, 2010, 6022, 566, 5469, 261, 786, 19571, 815, 23, 135, 2074, 2074, 657, 12996, 9, 215, 9, 479, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 215, 9, 479, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 215, 9, 627, 2074, 2074, 139, 3558, 4, 135, 2074, 2074, 30760, 299, 11142, 12, 2047, 1432, 4043, 11, 2074, 2074, 139, 4, 135, 2074, 2074, 15122, 4148, 30760, 299, 11142, 2074, 2074, 139, 26, 765, 765, 688, 33229, 12278, 20, 8160, 18019, 1661, 12, 39, 9, 152, 11 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2074, 657, 12996, 9, 208, 9, 402, 2074, 2074, 139, 230, 5783, 10097, 11138, 8872, 27680, 2827, 15325, 7, 14337, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 208, 2074, 2074, 139, 5404, 5222, 2550, 403, 2697, 6273, 403, 27294, 237, 5368, 11073, 273, 31500, 2047, 27693, 9, 35444, 3907, 44, 2630, 2844, 4969, 2400, 4024, 1341, 11138, 8872, 27680, 9, 35444, 3907, 6293, 321, 3768, 715, 5181, 33050, 2174, 388, 2952, 715, 273, 3190, 7602, 6392, 44, 39493, 32124, 11138, 8872, 27680, 9, 11415, 4074, 15825, 20187, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 208, 2074, 2074, 139, 6458, 21080, 6458, 21080, 11138, 8872, 27680, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 116, 2074, 2074, 139, 230, 5783, 10097, 11138, 8872, 27680, 2827, 15325, 7, 14337, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 116, 2074, 2074, 139, 230, 5783, 10097, 11138, 8872, 27680, 2827, 15325, 7, 14337, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 116, 2074, 2074, 139, 2844, 10264, 20893, 273, 31500, 2047, 27693, 9, 35444, 3907, 44, 2630, 2844, 4969, 2400, 4024, 1341, 11138, 8872, 27680, 9, 35444, 3907, 6293, 321, 3768, 715, 5181, 33050, 2174, 388, 2952, 715, 273, 3190, 7602, 6392, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 54, 2074, 2074, 139, 230, 5783, 10097, 11138, 8872, 27680, 2827, 15325, 7, 14337, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 54, 2074, 2074, 139, 6458, 21080, 6458, 21080, 11138, 8872, 27680, 9, 35444, 3907, 6293, 321, 3768, 715, 5181, 33050, 2174, 388, 2952, 715, 273, 3190, 7602, 6392, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 208, 9, 54, 2074, 2074, 139, 230, 5783, 10097, 11138, 8872, 27680, 2827, 15325, 7, 14337, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 215, 9, 1083, 2074, 2074, 139, 1799, 4001, 8234, 1832, 3598, 68, 9, 1224, 36014, 715, 5699, 11138, 8872, 27680, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 215, 9, 1083, 2074, 2074, 139, 1799, 4001, 8234, 1832, 3598, 68, 9, 1224, 36014, 715, 5699, 11138, 8872, 27680, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 215, 9, 880, 2074, 2074, 139, 4737, 4765, 401, 26, 452, 449, 3413, 2660, 8357, 12036, 2630, 2807, 2047, 24767, 4359, 3873, 3916, 2660, 3864, 1510, 9, 35444, 3907, 6293, 4359, 3873, 3916, 2660, 3864, 1510, 2186, 4, 6392, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 215, 9, 908, 2074, 2074, 139, 321, 22135, 287, 5222, 343, 3907, 7130, 715, 6112, 273, 31500, 2047, 27693, 9, 35444, 3907, 44, 7130, 715, 6112, 11138, 8872, 27680, 9, 35444, 3907, 6293, 343, 2450, 15073, 3340, 5641, 39, 2660, 7315, 7, 2047, 2379, 354, 7338, 2630, 1510, 2660, 5386, 51, 6392, 44, 3413, 7066, 3916, 230, 3420, 11138, 8872, 27680, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 215, 9, 627, 2074, 2074, 139, 6458, 21080, 6458, 21080, 11138, 8872, 27680, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 215, 9, 627, 2074, 2074, 139, 7068, 2450, 2630, 11049, 7068, 2450, 2630, 11049, 9, 35444, 3907, 6293, 2818, 2807, 26848, 13635, 2493, 4001, 3340, 4480, 4074, 190, 2630, 2807, 2047, 24767, 2047, 2379, 354, 7338, 2630, 1510, 6392, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 215, 9, 627, 2074, 2074, 139, 4737, 4765, 401, 26, 452, 449, 3413, 2660, 8357, 12036, 2630, 2807, 2047, 24767, 4359, 3873, 3916, 2660, 3864, 1510, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 215, 9, 627, 2074, 2074, 139, 7068, 2450, 2630, 11049, 7068, 2450, 2630, 11049, 9, 35444, 3907, 6293, 2818, 2807, 26848, 13635, 2493, 4001, 3340, 4480, 4074, 190, 2630, 2807, 2047, 24767, 2047, 2379, 354, 7338, 2630, 1510, 6392, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 215, 9, 219, 2074, 2074, 139, 2844, 10264, 20893, 273, 31500, 2047, 27693, 9, 35444, 3907, 44, 2630, 2844, 4969, 2400, 4024, 1341, 11138, 8872, 27680, 9, 35444, 3907, 6293, 2047, 2379, 354, 7338, 2630, 1510, 2660, 5386, 51, 6392, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 215, 9, 219, 2074, 2074, 139, 230, 5783, 10097, 11138, 8872, 27680, 2827, 15325, 7, 14337, 9, 35444, 3907, 3190, 18250, 4, 18721, 7043, 2940, 12703, 12021, 7074, 6945, 5541, 10584, 279, 4227, 2842, 135, 2074, 2074, 657, 12996, 9, 208, 9, 656, 2074, 2074, 139, 8015, 20, 2106, 3332, 135, 2074, 2074, 37033, 1047, 12288, 18566, 440, 1940, 8368, 2074, 2074, 139, 2074, 465, 2074, 2326, 2074, 208, 2074, 583, 4186, 7522, 29112, 18721, 7043, 2940, 2550, 343, 3643, 12693, 1341, 9517, 4771, 17445, 135, 2074, 2074, 657, 12996, 9, 208, 9, 656, 2074, 2074, 139, 198, 20, 2143, 3417, 135, 2074, 2074, 37033, 1047, 12288, 18566, 440, 1940, 7277, 2074, 2074, 139, 4186, 7522, 29112, 135, 2074, 2074, 657, 12996, 9, 208, 9, 656, 2074, 2074, 139, 8015, 20, 2106, 3332, 14393, 4186, 7522, 29112, 135, 2074, 2074, 657, 12996, 9, 215, 9, 627, 2074, 2074, 139, 402, 20, 4129, 3332, 135, 2074, 2074, 37033, 1047, 12288, 18566, 2074, 2074, 139, 4186, 7522, 29112, 403, 4001, 1832, 9830, 33728, 7130, 715, 6112, 2550, 343, 3643, 12693, 1341, 4771, 17445, 135, 2074, 2074, 657, 12996, 9, 208, 9, 36, 2074, 2074, 139, 91, 20, 9433, 3332, 2143, 1608, 4186, 7522, 29112, 4, 2844, 3083, 453, 25190, 4706, 3399, 7043, 287, 2448, 20, 16657, 1414, 1671, 6199, 7, 20525, 1661, 7, 964, 37073, 1113, 7, 8407, 32509, 4888, 4, 27730, 2010, 6022, 566, 5469, 261, 786, 19571, 815, 23, 135, 2074, 2074, 657, 12996, 9, 215, 9, 479, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 215, 9, 479, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 215, 9, 627, 2074, 2074, 139, 3558, 4, 135, 2074, 2074, 30760, 299, 11142, 12, 2047, 1432, 4043, 11, 2074, 2074, 139, 4, 135, 2074, 2074, 15122, 4148, 30760, 299, 11142, 2074, 2074, 139, 26, 765, 765, 688, 33229, 12278, 20, 8160, 18019, 1661, 12, 39, 9, 152, 11 ]
94,125
30125
[ 21080, 11138, 8872, 27680, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 215, 9, 627, 2074, 2074, 139, 7068, 2450, 2630, 11049, 7068, 2450, 2630, 11049, 9, 35444, 3907, 6293, 2818, 2807, 26848, 13635, 2493, 4001, 3340, 4480, 4074, 190, 2630, 2807, 2047, 24767, 2047, 2379, 354, 7338, 2630, 1510, 6392, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 215, 9, 627, 2074, 2074, 139, 4737, 4765, 401, 26, 452, 449, 3413, 2660, 8357, 12036, 2630, 2807, 2047, 24767, 4359, 3873, 3916, 2660, 3864, 1510, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 215, 9, 627, 2074, 2074, 139, 7068, 2450, 2630, 11049, 7068, 2450, 2630, 11049, 9, 35444, 3907, 6293, 2818, 2807, 26848, 13635, 2493, 4001, 3340, 4480, 4074, 190, 2630, 2807, 2047, 24767, 2047, 2379, 354, 7338, 2630, 1510, 6392, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 215, 9, 219, 2074, 2074, 139, 2844, 10264, 20893, 273, 31500, 2047, 27693, 9, 35444, 3907, 44, 2630, 2844, 4969, 2400, 4024, 1341, 11138, 8872, 27680, 9, 35444, 3907, 6293, 2047, 2379, 354, 7338, 2630, 1510, 2660, 5386, 51, 6392, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 215, 9, 219, 2074, 2074, 139, 230, 5783, 10097, 11138, 8872, 27680, 2827, 15325, 7, 14337, 9, 35444, 3907, 3190, 18250, 4, 18721, 7043, 2940, 12703, 12021, 7074, 6945, 5541, 10584, 279, 4227, 2842, 135, 2074, 2074, 657, 12996, 9, 208, 9, 656, 2074, 2074, 139, 8015, 20, 2106, 3332, 135, 2074, 2074, 37033, 1047, 12288, 18566, 440, 1940, 8368, 2074, 2074, 139, 2074, 465, 2074, 2326, 2074, 208, 2074, 583, 4186, 7522, 29112, 18721, 7043, 2940, 2550, 343, 3643, 12693, 1341, 9517, 4771, 17445, 135, 2074, 2074, 657, 12996, 9, 208, 9, 656, 2074, 2074, 139, 198, 20, 2143, 3417, 135, 2074, 2074, 37033, 1047, 12288, 18566, 440, 1940, 7277, 2074, 2074, 139, 4186, 7522, 29112, 135, 2074, 2074, 657, 12996, 9, 208, 9, 656, 2074, 2074, 139, 8015, 20, 2106, 3332, 14393, 4186, 7522, 29112, 135, 2074, 2074, 657, 12996, 9, 215, 9, 627, 2074, 2074, 139, 402, 20, 4129, 3332, 135, 2074, 2074, 37033, 1047, 12288, 18566, 2074, 2074, 139, 4186, 7522, 29112, 403, 4001, 1832, 9830, 33728, 7130, 715, 6112, 2550, 343, 3643, 12693, 1341, 4771, 17445, 135, 2074, 2074, 657, 12996, 9, 208, 9, 36, 2074, 2074, 139, 91, 20, 9433, 3332, 2143, 1608, 4186, 7522, 29112, 4, 2844, 3083, 453, 25190, 4706, 3399, 7043, 287, 2448, 20, 16657, 1414, 1671, 6199, 7, 20525, 1661, 7, 964, 37073, 1113, 7, 8407, 32509, 4888, 4, 27730, 2010, 6022, 566, 5469, 261, 786, 19571, 815, 23, 135, 2074, 2074, 657, 12996, 9, 215, 9, 479, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 215, 9, 479, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 215, 9, 627, 2074, 2074, 139, 3558, 4, 135, 2074, 2074, 30760, 299, 11142, 12, 2047, 1432, 4043, 11, 2074, 2074, 139, 4, 135, 2074, 2074, 15122, 4148, 30760, 299, 11142, 2074, 2074, 139, 26, 765, 765, 688, 33229, 12278, 20, 8160, 18019, 1661, 12, 39, 9, 152, 11, 20, 36, 4, 3160, 15958, 7, 1419, 4, 40, 4, 13667, 39433, 7, 1026, 9, 145, 4, 272, 4, 964, 37073, 1113, 12, 103, 9, 245, 11, 20, 4283, 175, 3073, 4, 784, 4, 11203, 1671, 6199, 12, 316, 11, 20, 36, 4, 28360, 873, 1396, 5, 1414, 11753, 7385, 7, 141, 1117, 12, 9526, 5829, 174, 11, 4, 40, 4, 668, 1226, 549, 4, 1224, 4, 14530, 32509, 12, 526, 9, 2316, 11, 20, 36, 4, 27868, 5, 6, 3713, 7, 4120, 5002, 3311, 290, 4, 40, 4, 3234, 6386, 5, 1414, 11753, 7385, 7, 141, 1117, 12, 9526, 5829, 174, 9, 272, 11, 7, 197, 6, 6661, 8654, 477, 4, 54, 4, 12613, 4920, 5, 3897, 7, 9691, 7, 8, 2378, 3312, 44, 668, 186, 4, 20650, 27, 12, 2628, 27491, 11, 20, 19095, 8277, 13621, 15974, 3916, 29263, 19337, 23896, 35319, 2713, 20, 20650, 37015, 38215, 7, 1297, 21146, 4, 4602, 12361, 20, 11203, 1098, 4, 4602, 17221, 273, 36141, 4067, 5985, 20, 2766, 1027, 4, 5475, 3459, 20, 2766, 1027, 4, 3302, 2245, 26, 29735, 7433, 38552, 20, 18019, 1661, 7, 964, 37073, 1113, 4, 21111, 3916, 29263, 19337, 15193, 2713, 20, 261, 23634, 2700, 4, 15193, 8603, 20, 5028, 20, 31770, 7701, 2577, 4, 10452, 287, 17772, 2568, 3190, 16687, 36426, 2930, 4602, 20, 341, 3501, 20, 4602, 10481, 3256, 6, 3713, 61, 205, 1146, 5, 6, 11820, 2142, 30, 6, 1698, 5976, 612, 4, 9281, 20934, 299, 10421, 20, 341, 299, 4964, 20, 20845, 10, 236, 1936, 1502, 1829, 12, 4120, 24586, 11, 4, 20934, 299, 10421, 17688, 325, 20, 1083, 4, 17688, 396, 20, 40, 4, 23497, 1670, 1481, 20, 341, 32414, 20, 11054, 41, 33, 424, 4, 29581, 1578, 20, 29581, 1578, 446, 396, 23, 1226, 549, 20, 34017, 29, 17229, 6199, 20, 3510, 1027, 4, 23896, 6834, 6199, 20, 11203, 1671, 4, 15139, 26, 10584, 4286, 2828, 1833, 20, 5674, 7771, 4, 3246, 36971, 1833, 20, 18194, 4, 5475, 24993, 5188, 20, 11203, 11753, 7064, 4783, 1029, 1117, 20, 9526, 5829, 20, 40, 4, 4341, 4920, 20, 18, 186, 10481, 34851, 122, 6, 22381, 31171, 4286, 3581, 207, 4, 810, 5, 6, 1502, 2509, 396, 15, 186, 21, 244, 13, 16274, 3023, 4, 1119, 20, 11203, 101, 4, 4, 25495, 5469, 10896, 2550, 17406, 1470, 1514, 1470, 26, 452, 103, 1514, 2630, 9551, 283, 7, 299, 6101, 9, 2660, 269, 5222, 20187, 1237, 261, 786, 5, 135, 2074, 2074, 657, 12996, 9, 215, 9, 414, 2074, 2074, 139, 36, 20, 1342, 3417, 4263, 11415, 250, 36426, 20, 36, 4, 9712, 818, 16, 630, 6158, 4, 40, 4, 230, 2898, 5610, 36133, 28492, 1528, 1184, 7, 1715, 1253, 13, 29390, 7, 61, 234, 26, 4516, 2251, 33, 3392, 4, 24032, 4067, 14500, 4, 20833, 4382, 6974, 4, 54, 4, 16098, 5532, 2481, 645, 38681, 744, 1307, 1037, 1214, 5, 6, 11026, 4, 24032, 4067, 407, 1001, 4, 85, 4, 7410, 14424, 4, 82, 4, 2797, 34108, 815, 429, 436, 7, 837, 491, 4162, 4, 116, 4, 2900, 2620, 2193, 5, 6, 284, 2917, 4576 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21080, 11138, 8872, 27680, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 215, 9, 627, 2074, 2074, 139, 7068, 2450, 2630, 11049, 7068, 2450, 2630, 11049, 9, 35444, 3907, 6293, 2818, 2807, 26848, 13635, 2493, 4001, 3340, 4480, 4074, 190, 2630, 2807, 2047, 24767, 2047, 2379, 354, 7338, 2630, 1510, 6392, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 215, 9, 627, 2074, 2074, 139, 4737, 4765, 401, 26, 452, 449, 3413, 2660, 8357, 12036, 2630, 2807, 2047, 24767, 4359, 3873, 3916, 2660, 3864, 1510, 9, 35444, 3907, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 215, 9, 627, 2074, 2074, 139, 7068, 2450, 2630, 11049, 7068, 2450, 2630, 11049, 9, 35444, 3907, 6293, 2818, 2807, 26848, 13635, 2493, 4001, 3340, 4480, 4074, 190, 2630, 2807, 2047, 24767, 2047, 2379, 354, 7338, 2630, 1510, 6392, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 215, 9, 219, 2074, 2074, 139, 2844, 10264, 20893, 273, 31500, 2047, 27693, 9, 35444, 3907, 44, 2630, 2844, 4969, 2400, 4024, 1341, 11138, 8872, 27680, 9, 35444, 3907, 6293, 2047, 2379, 354, 7338, 2630, 1510, 2660, 5386, 51, 6392, 3190, 18250, 135, 2074, 2074, 657, 12996, 9, 215, 9, 219, 2074, 2074, 139, 230, 5783, 10097, 11138, 8872, 27680, 2827, 15325, 7, 14337, 9, 35444, 3907, 3190, 18250, 4, 18721, 7043, 2940, 12703, 12021, 7074, 6945, 5541, 10584, 279, 4227, 2842, 135, 2074, 2074, 657, 12996, 9, 208, 9, 656, 2074, 2074, 139, 8015, 20, 2106, 3332, 135, 2074, 2074, 37033, 1047, 12288, 18566, 440, 1940, 8368, 2074, 2074, 139, 2074, 465, 2074, 2326, 2074, 208, 2074, 583, 4186, 7522, 29112, 18721, 7043, 2940, 2550, 343, 3643, 12693, 1341, 9517, 4771, 17445, 135, 2074, 2074, 657, 12996, 9, 208, 9, 656, 2074, 2074, 139, 198, 20, 2143, 3417, 135, 2074, 2074, 37033, 1047, 12288, 18566, 440, 1940, 7277, 2074, 2074, 139, 4186, 7522, 29112, 135, 2074, 2074, 657, 12996, 9, 208, 9, 656, 2074, 2074, 139, 8015, 20, 2106, 3332, 14393, 4186, 7522, 29112, 135, 2074, 2074, 657, 12996, 9, 215, 9, 627, 2074, 2074, 139, 402, 20, 4129, 3332, 135, 2074, 2074, 37033, 1047, 12288, 18566, 2074, 2074, 139, 4186, 7522, 29112, 403, 4001, 1832, 9830, 33728, 7130, 715, 6112, 2550, 343, 3643, 12693, 1341, 4771, 17445, 135, 2074, 2074, 657, 12996, 9, 208, 9, 36, 2074, 2074, 139, 91, 20, 9433, 3332, 2143, 1608, 4186, 7522, 29112, 4, 2844, 3083, 453, 25190, 4706, 3399, 7043, 287, 2448, 20, 16657, 1414, 1671, 6199, 7, 20525, 1661, 7, 964, 37073, 1113, 7, 8407, 32509, 4888, 4, 27730, 2010, 6022, 566, 5469, 261, 786, 19571, 815, 23, 135, 2074, 2074, 657, 12996, 9, 215, 9, 479, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 215, 9, 479, 2074, 2074, 139, 135, 2074, 2074, 657, 12996, 9, 215, 9, 627, 2074, 2074, 139, 3558, 4, 135, 2074, 2074, 30760, 299, 11142, 12, 2047, 1432, 4043, 11, 2074, 2074, 139, 4, 135, 2074, 2074, 15122, 4148, 30760, 299, 11142, 2074, 2074, 139, 26, 765, 765, 688, 33229, 12278, 20, 8160, 18019, 1661, 12, 39, 9, 152, 11, 20, 36, 4, 3160, 15958, 7, 1419, 4, 40, 4, 13667, 39433, 7, 1026, 9, 145, 4, 272, 4, 964, 37073, 1113, 12, 103, 9, 245, 11, 20, 4283, 175, 3073, 4, 784, 4, 11203, 1671, 6199, 12, 316, 11, 20, 36, 4, 28360, 873, 1396, 5, 1414, 11753, 7385, 7, 141, 1117, 12, 9526, 5829, 174, 11, 4, 40, 4, 668, 1226, 549, 4, 1224, 4, 14530, 32509, 12, 526, 9, 2316, 11, 20, 36, 4, 27868, 5, 6, 3713, 7, 4120, 5002, 3311, 290, 4, 40, 4, 3234, 6386, 5, 1414, 11753, 7385, 7, 141, 1117, 12, 9526, 5829, 174, 9, 272, 11, 7, 197, 6, 6661, 8654, 477, 4, 54, 4, 12613, 4920, 5, 3897, 7, 9691, 7, 8, 2378, 3312, 44, 668, 186, 4, 20650, 27, 12, 2628, 27491, 11, 20, 19095, 8277, 13621, 15974, 3916, 29263, 19337, 23896, 35319, 2713, 20, 20650, 37015, 38215, 7, 1297, 21146, 4, 4602, 12361, 20, 11203, 1098, 4, 4602, 17221, 273, 36141, 4067, 5985, 20, 2766, 1027, 4, 5475, 3459, 20, 2766, 1027, 4, 3302, 2245, 26, 29735, 7433, 38552, 20, 18019, 1661, 7, 964, 37073, 1113, 4, 21111, 3916, 29263, 19337, 15193, 2713, 20, 261, 23634, 2700, 4, 15193, 8603, 20, 5028, 20, 31770, 7701, 2577, 4, 10452, 287, 17772, 2568, 3190, 16687, 36426, 2930, 4602, 20, 341, 3501, 20, 4602, 10481, 3256, 6, 3713, 61, 205, 1146, 5, 6, 11820, 2142, 30, 6, 1698, 5976, 612, 4, 9281, 20934, 299, 10421, 20, 341, 299, 4964, 20, 20845, 10, 236, 1936, 1502, 1829, 12, 4120, 24586, 11, 4, 20934, 299, 10421, 17688, 325, 20, 1083, 4, 17688, 396, 20, 40, 4, 23497, 1670, 1481, 20, 341, 32414, 20, 11054, 41, 33, 424, 4, 29581, 1578, 20, 29581, 1578, 446, 396, 23, 1226, 549, 20, 34017, 29, 17229, 6199, 20, 3510, 1027, 4, 23896, 6834, 6199, 20, 11203, 1671, 4, 15139, 26, 10584, 4286, 2828, 1833, 20, 5674, 7771, 4, 3246, 36971, 1833, 20, 18194, 4, 5475, 24993, 5188, 20, 11203, 11753, 7064, 4783, 1029, 1117, 20, 9526, 5829, 20, 40, 4, 4341, 4920, 20, 18, 186, 10481, 34851, 122, 6, 22381, 31171, 4286, 3581, 207, 4, 810, 5, 6, 1502, 2509, 396, 15, 186, 21, 244, 13, 16274, 3023, 4, 1119, 20, 11203, 101, 4, 4, 25495, 5469, 10896, 2550, 17406, 1470, 1514, 1470, 26, 452, 103, 1514, 2630, 9551, 283, 7, 299, 6101, 9, 2660, 269, 5222, 20187, 1237, 261, 786, 5, 135, 2074, 2074, 657, 12996, 9, 215, 9, 414, 2074, 2074, 139, 36, 20, 1342, 3417, 4263, 11415, 250, 36426, 20, 36, 4, 9712, 818, 16, 630, 6158, 4, 40, 4, 230, 2898, 5610, 36133, 28492, 1528, 1184, 7, 1715, 1253, 13, 29390, 7, 61, 234, 26, 4516, 2251, 33, 3392, 4, 24032, 4067, 14500, 4, 20833, 4382, 6974, 4, 54, 4, 16098, 5532, 2481, 645, 38681, 744, 1307, 1037, 1214, 5, 6, 11026, 4, 24032, 4067, 407, 1001, 4, 85, 4, 7410, 14424, 4, 82, 4, 2797, 34108, 815, 429, 436, 7, 837, 491, 4162, 4, 116, 4, 2900, 2620, 2193, 5, 6, 284, 2917, 4576 ]
94,125
30125
[ 20, 36, 4, 3160, 15958, 7, 1419, 4, 40, 4, 13667, 39433, 7, 1026, 9, 145, 4, 272, 4, 964, 37073, 1113, 12, 103, 9, 245, 11, 20, 4283, 175, 3073, 4, 784, 4, 11203, 1671, 6199, 12, 316, 11, 20, 36, 4, 28360, 873, 1396, 5, 1414, 11753, 7385, 7, 141, 1117, 12, 9526, 5829, 174, 11, 4, 40, 4, 668, 1226, 549, 4, 1224, 4, 14530, 32509, 12, 526, 9, 2316, 11, 20, 36, 4, 27868, 5, 6, 3713, 7, 4120, 5002, 3311, 290, 4, 40, 4, 3234, 6386, 5, 1414, 11753, 7385, 7, 141, 1117, 12, 9526, 5829, 174, 9, 272, 11, 7, 197, 6, 6661, 8654, 477, 4, 54, 4, 12613, 4920, 5, 3897, 7, 9691, 7, 8, 2378, 3312, 44, 668, 186, 4, 20650, 27, 12, 2628, 27491, 11, 20, 19095, 8277, 13621, 15974, 3916, 29263, 19337, 23896, 35319, 2713, 20, 20650, 37015, 38215, 7, 1297, 21146, 4, 4602, 12361, 20, 11203, 1098, 4, 4602, 17221, 273, 36141, 4067, 5985, 20, 2766, 1027, 4, 5475, 3459, 20, 2766, 1027, 4, 3302, 2245, 26, 29735, 7433, 38552, 20, 18019, 1661, 7, 964, 37073, 1113, 4, 21111, 3916, 29263, 19337, 15193, 2713, 20, 261, 23634, 2700, 4, 15193, 8603, 20, 5028, 20, 31770, 7701, 2577, 4, 10452, 287, 17772, 2568, 3190, 16687, 36426, 2930, 4602, 20, 341, 3501, 20, 4602, 10481, 3256, 6, 3713, 61, 205, 1146, 5, 6, 11820, 2142, 30, 6, 1698, 5976, 612, 4, 9281, 20934, 299, 10421, 20, 341, 299, 4964, 20, 20845, 10, 236, 1936, 1502, 1829, 12, 4120, 24586, 11, 4, 20934, 299, 10421, 17688, 325, 20, 1083, 4, 17688, 396, 20, 40, 4, 23497, 1670, 1481, 20, 341, 32414, 20, 11054, 41, 33, 424, 4, 29581, 1578, 20, 29581, 1578, 446, 396, 23, 1226, 549, 20, 34017, 29, 17229, 6199, 20, 3510, 1027, 4, 23896, 6834, 6199, 20, 11203, 1671, 4, 15139, 26, 10584, 4286, 2828, 1833, 20, 5674, 7771, 4, 3246, 36971, 1833, 20, 18194, 4, 5475, 24993, 5188, 20, 11203, 11753, 7064, 4783, 1029, 1117, 20, 9526, 5829, 20, 40, 4, 4341, 4920, 20, 18, 186, 10481, 34851, 122, 6, 22381, 31171, 4286, 3581, 207, 4, 810, 5, 6, 1502, 2509, 396, 15, 186, 21, 244, 13, 16274, 3023, 4, 1119, 20, 11203, 101, 4, 4, 25495, 5469, 10896, 2550, 17406, 1470, 1514, 1470, 26, 452, 103, 1514, 2630, 9551, 283, 7, 299, 6101, 9, 2660, 269, 5222, 20187, 1237, 261, 786, 5, 135, 2074, 2074, 657, 12996, 9, 215, 9, 414, 2074, 2074, 139, 36, 20, 1342, 3417, 4263, 11415, 250, 36426, 20, 36, 4, 9712, 818, 16, 630, 6158, 4, 40, 4, 230, 2898, 5610, 36133, 28492, 1528, 1184, 7, 1715, 1253, 13, 29390, 7, 61, 234, 26, 4516, 2251, 33, 3392, 4, 24032, 4067, 14500, 4, 20833, 4382, 6974, 4, 54, 4, 16098, 5532, 2481, 645, 38681, 744, 1307, 1037, 1214, 5, 6, 11026, 4, 24032, 4067, 407, 1001, 4, 85, 4, 7410, 14424, 4, 82, 4, 2797, 34108, 815, 429, 436, 7, 837, 491, 4162, 4, 116, 4, 2900, 2620, 2193, 5, 6, 284, 2917, 4576, 1235, 7, 663, 3991, 4, 4, 25495, 5469, 2550, 17406, 12, 37990, 2935, 7044, 1876, 11, 1237, 261, 786, 5, 135, 2074, 2074, 657, 12996, 9, 215, 9, 219, 2074, 2074, 139, 85, 20, 1577, 3332, 18812, 5469, 2630, 3264, 6101, 13635, 10452, 3332, 20, 1223, 13878, 977, 125, 7, 516, 9, 14530, 32509, 4, 2381, 21, 661, 15, 947, 38, 178, 6, 262, 2180, 4, 271, 47, 58, 102, 928, 163, 4, 2677, 2481, 21, 10, 595, 1001, 4, 12801, 453, 1260, 2449, 5025, 21, 10, 6, 29504, 4, 5890, 1844, 4382, 14441, 7, 368, 10, 6, 491, 752, 15, 73, 29390, 8, 29390, 10, 6, 702, 1349, 3820, 31, 3470, 27, 844, 6439, 17921, 8, 3912, 630, 2090, 4, 271, 21, 102, 8713, 30, 176, 417, 1409, 4, 7489, 2481, 5025, 21, 387, 5, 1957, 2004, 6, 9617, 4, 4, 135, 2074, 2074, 18820, 846, 36, 414, 2074, 2074, 139, 3083, 5515, 28953, 3409, 403, 4695, 2379, 313, 1341, 15269, 4263, 11415, 250, 36426, 20, 3860, 1367, 1406, 352, 4, 17815, 15, 4749, 1936, 8, 1524, 164, 4, 18, 6150, 21, 41, 126, 724, 61, 63, 33, 7288, 15, 3951, 2384, 164, 4, 13930, 630, 612, 2384, 936, 4, 2200, 15, 6, 947, 38, 12, 1198, 1094, 11, 5, 135, 2074, 2074, 657, 14031, 9, 215, 9, 116, 2074, 2074, 139, 7, 6, 702, 4162, 1147, 13, 33, 7288, 15, 3951, 164, 25, 6, 404, 38, 4, 13930, 630, 612, 2384, 936, 21, 1472, 724, 4, 18, 98, 229, 31, 242, 4, 4, 25495, 5469, 621, 2935, 5181, 25190, 1470, 26, 9551, 2739, 9275, 1237, 261, 786, 5, 135, 2074, 2074, 657, 12996, 9, 215, 9, 777, 2074, 2074, 139, 402, 20, 297, 3332, 4263, 11415, 250, 36426, 20, 36, 4, 2974, 21, 517, 516, 6526, 14530, 32509, 662, 4, 271, 21, 14, 2917, 4576, 477, 2669, 13, 6, 32305, 19735, 22, 2251, 33, 330, 126, 205, 579, 476, 4, 18, 2917, 4576, 477, 1147, 13, 33, 14, 11661, 2878, 44, 523, 7, 7476, 30, 828, 2774, 2251, 33, 3392, 4, 40, 4, 3234, 2917, 4576, 284, 496, 10, 74, 10965, 5, 6, 284, 7, 86, 10, 2112, 272, 1147, 13, 33, 176, 4, 13176, 374, 33, 8021, 13, 55, 708, 25, 894, 100, 4, 54, 4, 5890, 1844, 4382, 14441, 15, 88, 267, 29390, 666, 12419, 10, 6, 702, 200, 3820, 4, 20833, 29390, 10, 6, 491, 1425, 4, 85, 4, 11461, 516, 1354, 5838, 1051, 4, 82, 4, 6417, 1661, 23631, 4, 116, 4, 22765, 15518, 1939, 205, 248, 5, 26041, 4, 4, 25495, 5469, 2550, 17406, 12, 37990, 2935, 7044, 1876, 11, 1237, 261, 786, 5, 135, 2074, 2074, 657, 12996, 9, 215, 9, 1031, 2074, 2074, 139, 85, 20, 1031, 3332, 1907, 2830, 7341, 5188, 4186, 17962, 20, 261, 964, 269, 447, 4706, 190, 135, 2074, 2074, 657, 12996, 9, 215, 9, 1031, 2074, 2074, 139, 402, 20, 1869, 3332, 10699, 3792, 17737, 5942, 13765, 16, 3043, 4, 4263, 11415, 250, 36426, 20, 19275, 708, 5, 88, 654, 11139, 13765, 16, 3043, 4, 39, 1161, 928 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20, 36, 4, 3160, 15958, 7, 1419, 4, 40, 4, 13667, 39433, 7, 1026, 9, 145, 4, 272, 4, 964, 37073, 1113, 12, 103, 9, 245, 11, 20, 4283, 175, 3073, 4, 784, 4, 11203, 1671, 6199, 12, 316, 11, 20, 36, 4, 28360, 873, 1396, 5, 1414, 11753, 7385, 7, 141, 1117, 12, 9526, 5829, 174, 11, 4, 40, 4, 668, 1226, 549, 4, 1224, 4, 14530, 32509, 12, 526, 9, 2316, 11, 20, 36, 4, 27868, 5, 6, 3713, 7, 4120, 5002, 3311, 290, 4, 40, 4, 3234, 6386, 5, 1414, 11753, 7385, 7, 141, 1117, 12, 9526, 5829, 174, 9, 272, 11, 7, 197, 6, 6661, 8654, 477, 4, 54, 4, 12613, 4920, 5, 3897, 7, 9691, 7, 8, 2378, 3312, 44, 668, 186, 4, 20650, 27, 12, 2628, 27491, 11, 20, 19095, 8277, 13621, 15974, 3916, 29263, 19337, 23896, 35319, 2713, 20, 20650, 37015, 38215, 7, 1297, 21146, 4, 4602, 12361, 20, 11203, 1098, 4, 4602, 17221, 273, 36141, 4067, 5985, 20, 2766, 1027, 4, 5475, 3459, 20, 2766, 1027, 4, 3302, 2245, 26, 29735, 7433, 38552, 20, 18019, 1661, 7, 964, 37073, 1113, 4, 21111, 3916, 29263, 19337, 15193, 2713, 20, 261, 23634, 2700, 4, 15193, 8603, 20, 5028, 20, 31770, 7701, 2577, 4, 10452, 287, 17772, 2568, 3190, 16687, 36426, 2930, 4602, 20, 341, 3501, 20, 4602, 10481, 3256, 6, 3713, 61, 205, 1146, 5, 6, 11820, 2142, 30, 6, 1698, 5976, 612, 4, 9281, 20934, 299, 10421, 20, 341, 299, 4964, 20, 20845, 10, 236, 1936, 1502, 1829, 12, 4120, 24586, 11, 4, 20934, 299, 10421, 17688, 325, 20, 1083, 4, 17688, 396, 20, 40, 4, 23497, 1670, 1481, 20, 341, 32414, 20, 11054, 41, 33, 424, 4, 29581, 1578, 20, 29581, 1578, 446, 396, 23, 1226, 549, 20, 34017, 29, 17229, 6199, 20, 3510, 1027, 4, 23896, 6834, 6199, 20, 11203, 1671, 4, 15139, 26, 10584, 4286, 2828, 1833, 20, 5674, 7771, 4, 3246, 36971, 1833, 20, 18194, 4, 5475, 24993, 5188, 20, 11203, 11753, 7064, 4783, 1029, 1117, 20, 9526, 5829, 20, 40, 4, 4341, 4920, 20, 18, 186, 10481, 34851, 122, 6, 22381, 31171, 4286, 3581, 207, 4, 810, 5, 6, 1502, 2509, 396, 15, 186, 21, 244, 13, 16274, 3023, 4, 1119, 20, 11203, 101, 4, 4, 25495, 5469, 10896, 2550, 17406, 1470, 1514, 1470, 26, 452, 103, 1514, 2630, 9551, 283, 7, 299, 6101, 9, 2660, 269, 5222, 20187, 1237, 261, 786, 5, 135, 2074, 2074, 657, 12996, 9, 215, 9, 414, 2074, 2074, 139, 36, 20, 1342, 3417, 4263, 11415, 250, 36426, 20, 36, 4, 9712, 818, 16, 630, 6158, 4, 40, 4, 230, 2898, 5610, 36133, 28492, 1528, 1184, 7, 1715, 1253, 13, 29390, 7, 61, 234, 26, 4516, 2251, 33, 3392, 4, 24032, 4067, 14500, 4, 20833, 4382, 6974, 4, 54, 4, 16098, 5532, 2481, 645, 38681, 744, 1307, 1037, 1214, 5, 6, 11026, 4, 24032, 4067, 407, 1001, 4, 85, 4, 7410, 14424, 4, 82, 4, 2797, 34108, 815, 429, 436, 7, 837, 491, 4162, 4, 116, 4, 2900, 2620, 2193, 5, 6, 284, 2917, 4576, 1235, 7, 663, 3991, 4, 4, 25495, 5469, 2550, 17406, 12, 37990, 2935, 7044, 1876, 11, 1237, 261, 786, 5, 135, 2074, 2074, 657, 12996, 9, 215, 9, 219, 2074, 2074, 139, 85, 20, 1577, 3332, 18812, 5469, 2630, 3264, 6101, 13635, 10452, 3332, 20, 1223, 13878, 977, 125, 7, 516, 9, 14530, 32509, 4, 2381, 21, 661, 15, 947, 38, 178, 6, 262, 2180, 4, 271, 47, 58, 102, 928, 163, 4, 2677, 2481, 21, 10, 595, 1001, 4, 12801, 453, 1260, 2449, 5025, 21, 10, 6, 29504, 4, 5890, 1844, 4382, 14441, 7, 368, 10, 6, 491, 752, 15, 73, 29390, 8, 29390, 10, 6, 702, 1349, 3820, 31, 3470, 27, 844, 6439, 17921, 8, 3912, 630, 2090, 4, 271, 21, 102, 8713, 30, 176, 417, 1409, 4, 7489, 2481, 5025, 21, 387, 5, 1957, 2004, 6, 9617, 4, 4, 135, 2074, 2074, 18820, 846, 36, 414, 2074, 2074, 139, 3083, 5515, 28953, 3409, 403, 4695, 2379, 313, 1341, 15269, 4263, 11415, 250, 36426, 20, 3860, 1367, 1406, 352, 4, 17815, 15, 4749, 1936, 8, 1524, 164, 4, 18, 6150, 21, 41, 126, 724, 61, 63, 33, 7288, 15, 3951, 2384, 164, 4, 13930, 630, 612, 2384, 936, 4, 2200, 15, 6, 947, 38, 12, 1198, 1094, 11, 5, 135, 2074, 2074, 657, 14031, 9, 215, 9, 116, 2074, 2074, 139, 7, 6, 702, 4162, 1147, 13, 33, 7288, 15, 3951, 164, 25, 6, 404, 38, 4, 13930, 630, 612, 2384, 936, 21, 1472, 724, 4, 18, 98, 229, 31, 242, 4, 4, 25495, 5469, 621, 2935, 5181, 25190, 1470, 26, 9551, 2739, 9275, 1237, 261, 786, 5, 135, 2074, 2074, 657, 12996, 9, 215, 9, 777, 2074, 2074, 139, 402, 20, 297, 3332, 4263, 11415, 250, 36426, 20, 36, 4, 2974, 21, 517, 516, 6526, 14530, 32509, 662, 4, 271, 21, 14, 2917, 4576, 477, 2669, 13, 6, 32305, 19735, 22, 2251, 33, 330, 126, 205, 579, 476, 4, 18, 2917, 4576, 477, 1147, 13, 33, 14, 11661, 2878, 44, 523, 7, 7476, 30, 828, 2774, 2251, 33, 3392, 4, 40, 4, 3234, 2917, 4576, 284, 496, 10, 74, 10965, 5, 6, 284, 7, 86, 10, 2112, 272, 1147, 13, 33, 176, 4, 13176, 374, 33, 8021, 13, 55, 708, 25, 894, 100, 4, 54, 4, 5890, 1844, 4382, 14441, 15, 88, 267, 29390, 666, 12419, 10, 6, 702, 200, 3820, 4, 20833, 29390, 10, 6, 491, 1425, 4, 85, 4, 11461, 516, 1354, 5838, 1051, 4, 82, 4, 6417, 1661, 23631, 4, 116, 4, 22765, 15518, 1939, 205, 248, 5, 26041, 4, 4, 25495, 5469, 2550, 17406, 12, 37990, 2935, 7044, 1876, 11, 1237, 261, 786, 5, 135, 2074, 2074, 657, 12996, 9, 215, 9, 1031, 2074, 2074, 139, 85, 20, 1031, 3332, 1907, 2830, 7341, 5188, 4186, 17962, 20, 261, 964, 269, 447, 4706, 190, 135, 2074, 2074, 657, 12996, 9, 215, 9, 1031, 2074, 2074, 139, 402, 20, 1869, 3332, 10699, 3792, 17737, 5942, 13765, 16, 3043, 4, 4263, 11415, 250, 36426, 20, 19275, 708, 5, 88, 654, 11139, 13765, 16, 3043, 4, 39, 1161, 928 ]
94,125
30125
[ 1235, 7, 663, 3991, 4, 4, 25495, 5469, 2550, 17406, 12, 37990, 2935, 7044, 1876, 11, 1237, 261, 786, 5, 135, 2074, 2074, 657, 12996, 9, 215, 9, 219, 2074, 2074, 139, 85, 20, 1577, 3332, 18812, 5469, 2630, 3264, 6101, 13635, 10452, 3332, 20, 1223, 13878, 977, 125, 7, 516, 9, 14530, 32509, 4, 2381, 21, 661, 15, 947, 38, 178, 6, 262, 2180, 4, 271, 47, 58, 102, 928, 163, 4, 2677, 2481, 21, 10, 595, 1001, 4, 12801, 453, 1260, 2449, 5025, 21, 10, 6, 29504, 4, 5890, 1844, 4382, 14441, 7, 368, 10, 6, 491, 752, 15, 73, 29390, 8, 29390, 10, 6, 702, 1349, 3820, 31, 3470, 27, 844, 6439, 17921, 8, 3912, 630, 2090, 4, 271, 21, 102, 8713, 30, 176, 417, 1409, 4, 7489, 2481, 5025, 21, 387, 5, 1957, 2004, 6, 9617, 4, 4, 135, 2074, 2074, 18820, 846, 36, 414, 2074, 2074, 139, 3083, 5515, 28953, 3409, 403, 4695, 2379, 313, 1341, 15269, 4263, 11415, 250, 36426, 20, 3860, 1367, 1406, 352, 4, 17815, 15, 4749, 1936, 8, 1524, 164, 4, 18, 6150, 21, 41, 126, 724, 61, 63, 33, 7288, 15, 3951, 2384, 164, 4, 13930, 630, 612, 2384, 936, 4, 2200, 15, 6, 947, 38, 12, 1198, 1094, 11, 5, 135, 2074, 2074, 657, 14031, 9, 215, 9, 116, 2074, 2074, 139, 7, 6, 702, 4162, 1147, 13, 33, 7288, 15, 3951, 164, 25, 6, 404, 38, 4, 13930, 630, 612, 2384, 936, 21, 1472, 724, 4, 18, 98, 229, 31, 242, 4, 4, 25495, 5469, 621, 2935, 5181, 25190, 1470, 26, 9551, 2739, 9275, 1237, 261, 786, 5, 135, 2074, 2074, 657, 12996, 9, 215, 9, 777, 2074, 2074, 139, 402, 20, 297, 3332, 4263, 11415, 250, 36426, 20, 36, 4, 2974, 21, 517, 516, 6526, 14530, 32509, 662, 4, 271, 21, 14, 2917, 4576, 477, 2669, 13, 6, 32305, 19735, 22, 2251, 33, 330, 126, 205, 579, 476, 4, 18, 2917, 4576, 477, 1147, 13, 33, 14, 11661, 2878, 44, 523, 7, 7476, 30, 828, 2774, 2251, 33, 3392, 4, 40, 4, 3234, 2917, 4576, 284, 496, 10, 74, 10965, 5, 6, 284, 7, 86, 10, 2112, 272, 1147, 13, 33, 176, 4, 13176, 374, 33, 8021, 13, 55, 708, 25, 894, 100, 4, 54, 4, 5890, 1844, 4382, 14441, 15, 88, 267, 29390, 666, 12419, 10, 6, 702, 200, 3820, 4, 20833, 29390, 10, 6, 491, 1425, 4, 85, 4, 11461, 516, 1354, 5838, 1051, 4, 82, 4, 6417, 1661, 23631, 4, 116, 4, 22765, 15518, 1939, 205, 248, 5, 26041, 4, 4, 25495, 5469, 2550, 17406, 12, 37990, 2935, 7044, 1876, 11, 1237, 261, 786, 5, 135, 2074, 2074, 657, 12996, 9, 215, 9, 1031, 2074, 2074, 139, 85, 20, 1031, 3332, 1907, 2830, 7341, 5188, 4186, 17962, 20, 261, 964, 269, 447, 4706, 190, 135, 2074, 2074, 657, 12996, 9, 215, 9, 1031, 2074, 2074, 139, 402, 20, 1869, 3332, 10699, 3792, 17737, 5942, 13765, 16, 3043, 4, 4263, 11415, 250, 36426, 20, 19275, 708, 5, 88, 654, 11139, 13765, 16, 3043, 4, 39, 1161, 928, 410, 4, 25495, 5469, 621, 4703, 1291, 1470, 26, 452, 9551, 2739, 9275, 1237, 261, 786, 5, 135, 2074, 2074, 657, 12996, 9, 215, 9, 880, 2074, 2074, 139, 198, 20, 479, 3417, 4263, 11415, 250, 36426, 20, 36, 4, 668, 293, 3546, 1947, 220, 4, 40, 4, 32887, 76, 27, 532, 1316, 7, 663, 132, 13, 308, 548, 370, 8, 26, 30, 125, 121, 20207, 517, 44, 523, 7, 557, 282, 33, 661, 16, 420, 229, 13, 224, 293, 15172, 26, 3733, 19356, 28663, 4, 54, 4, 283, 26, 68, 491, 7959, 12246, 1365, 8951, 81, 2234, 7983, 378, 4310, 16, 35, 662, 4, 4, 25495, 5469, 2550, 17406, 12, 37990, 2935, 7044, 1876, 11, 1237, 261, 786, 5, 135, 2074, 2074, 657, 12996, 9, 215, 9, 249, 2074, 2074, 139, 40, 20, 1870, 3332, 5098, 20, 18, 15699, 2481, 888, 10, 2018, 7, 61, 1147, 13, 1426, 6, 702, 1307, 5532, 1214, 4, 23999, 22448, 2481, 21, 859, 10, 2018, 4, 18, 702, 1231, 10296, 638, 5121, 10, 6, 29504, 4, 1875, 30966, 16, 419, 10, 3053, 7, 223, 21, 102, 99, 410, 10, 6, 931, 5, 6439, 17921, 7, 1844, 4382, 14441, 7, 30, 630, 647, 16291, 4, 4, 25495, 5469, 10896, 2550, 17406, 1470, 1514, 1470, 26, 452, 103, 1514, 2630, 9551, 283, 7, 299, 6101, 9, 2660, 269, 5222, 20187, 1237, 261, 786, 5, 135, 2074, 2074, 657, 12996, 9, 208, 9, 36, 2074, 2074, 139, 91, 20, 627, 3417, 4263, 11415, 250, 36426, 20, 36, 4, 668, 630, 12735, 507, 30, 293, 1261, 5240, 4, 40, 4, 10699, 4382, 14441, 7, 702, 368, 48, 491, 7, 15, 902, 5100, 122, 6, 34980, 7, 46, 181, 33, 6521, 5453, 4, 5919, 12090, 29390, 2513, 2187, 7, 8, 21, 41, 663, 13, 1676, 7430, 3089, 10360, 4, 54, 4, 11068, 829, 10, 2018, 4, 85, 4, 12881, 647, 6604, 4, 82, 4, 15489, 17921, 4, 4, 25495, 5469, 2550, 17406, 12, 37990, 2935, 7044, 1876, 11, 1237, 261, 786, 5, 135, 2074, 2074, 657, 12996, 9, 208, 9, 116, 2074, 2074, 139, 85, 20, 1020, 3332, 4263, 11415, 250, 36426, 20, 1876, 2268, 97, 13, 135, 2074, 2074, 215, 9, 1083, 2074, 2074, 139, 20, 13930, 630, 3237, 57, 14775, 1221, 135, 2074, 2074, 208, 9, 82, 2074, 2074, 139, 4, 6417, 429, 8, 1589, 318, 8, 24205, 1980, 2795, 3614, 31, 308, 4, 668, 12837, 30, 4382, 6974, 4, 12801, 14488, 638, 24492, 698, 282, 33, 1905, 9, 330, 23, 3310, 114, 21, 41, 21471, 4, 18303, 2481, 30, 2033, 5121, 10, 6, 1349, 3897, 7, 27, 356, 4, 4, 25495, 5469, 2550, 17406, 12, 37990, 2935, 7044, 1876, 11, 1237, 261, 786, 5, 135, 2074, 2074, 657, 12996, 9, 208, 9, 400, 2074, 2074, 139, 85, 20, 1648, 3332, 916, 9464, 7, 6, 125, 21, 1916, 21471, 4, 14979, 3734, 9537, 2481, 8, 702, 321, 7421, 31, 10, 595, 3053, 4, 7489, 2481, 5025, 21, 387, 5, 1957, 2004, 6, 9617, 4, 230, 2898, 5610, 36133, 28492, 1528, 1184, 997, 15, 4516, 30, 3043, 31, 988 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1235, 7, 663, 3991, 4, 4, 25495, 5469, 2550, 17406, 12, 37990, 2935, 7044, 1876, 11, 1237, 261, 786, 5, 135, 2074, 2074, 657, 12996, 9, 215, 9, 219, 2074, 2074, 139, 85, 20, 1577, 3332, 18812, 5469, 2630, 3264, 6101, 13635, 10452, 3332, 20, 1223, 13878, 977, 125, 7, 516, 9, 14530, 32509, 4, 2381, 21, 661, 15, 947, 38, 178, 6, 262, 2180, 4, 271, 47, 58, 102, 928, 163, 4, 2677, 2481, 21, 10, 595, 1001, 4, 12801, 453, 1260, 2449, 5025, 21, 10, 6, 29504, 4, 5890, 1844, 4382, 14441, 7, 368, 10, 6, 491, 752, 15, 73, 29390, 8, 29390, 10, 6, 702, 1349, 3820, 31, 3470, 27, 844, 6439, 17921, 8, 3912, 630, 2090, 4, 271, 21, 102, 8713, 30, 176, 417, 1409, 4, 7489, 2481, 5025, 21, 387, 5, 1957, 2004, 6, 9617, 4, 4, 135, 2074, 2074, 18820, 846, 36, 414, 2074, 2074, 139, 3083, 5515, 28953, 3409, 403, 4695, 2379, 313, 1341, 15269, 4263, 11415, 250, 36426, 20, 3860, 1367, 1406, 352, 4, 17815, 15, 4749, 1936, 8, 1524, 164, 4, 18, 6150, 21, 41, 126, 724, 61, 63, 33, 7288, 15, 3951, 2384, 164, 4, 13930, 630, 612, 2384, 936, 4, 2200, 15, 6, 947, 38, 12, 1198, 1094, 11, 5, 135, 2074, 2074, 657, 14031, 9, 215, 9, 116, 2074, 2074, 139, 7, 6, 702, 4162, 1147, 13, 33, 7288, 15, 3951, 164, 25, 6, 404, 38, 4, 13930, 630, 612, 2384, 936, 21, 1472, 724, 4, 18, 98, 229, 31, 242, 4, 4, 25495, 5469, 621, 2935, 5181, 25190, 1470, 26, 9551, 2739, 9275, 1237, 261, 786, 5, 135, 2074, 2074, 657, 12996, 9, 215, 9, 777, 2074, 2074, 139, 402, 20, 297, 3332, 4263, 11415, 250, 36426, 20, 36, 4, 2974, 21, 517, 516, 6526, 14530, 32509, 662, 4, 271, 21, 14, 2917, 4576, 477, 2669, 13, 6, 32305, 19735, 22, 2251, 33, 330, 126, 205, 579, 476, 4, 18, 2917, 4576, 477, 1147, 13, 33, 14, 11661, 2878, 44, 523, 7, 7476, 30, 828, 2774, 2251, 33, 3392, 4, 40, 4, 3234, 2917, 4576, 284, 496, 10, 74, 10965, 5, 6, 284, 7, 86, 10, 2112, 272, 1147, 13, 33, 176, 4, 13176, 374, 33, 8021, 13, 55, 708, 25, 894, 100, 4, 54, 4, 5890, 1844, 4382, 14441, 15, 88, 267, 29390, 666, 12419, 10, 6, 702, 200, 3820, 4, 20833, 29390, 10, 6, 491, 1425, 4, 85, 4, 11461, 516, 1354, 5838, 1051, 4, 82, 4, 6417, 1661, 23631, 4, 116, 4, 22765, 15518, 1939, 205, 248, 5, 26041, 4, 4, 25495, 5469, 2550, 17406, 12, 37990, 2935, 7044, 1876, 11, 1237, 261, 786, 5, 135, 2074, 2074, 657, 12996, 9, 215, 9, 1031, 2074, 2074, 139, 85, 20, 1031, 3332, 1907, 2830, 7341, 5188, 4186, 17962, 20, 261, 964, 269, 447, 4706, 190, 135, 2074, 2074, 657, 12996, 9, 215, 9, 1031, 2074, 2074, 139, 402, 20, 1869, 3332, 10699, 3792, 17737, 5942, 13765, 16, 3043, 4, 4263, 11415, 250, 36426, 20, 19275, 708, 5, 88, 654, 11139, 13765, 16, 3043, 4, 39, 1161, 928, 410, 4, 25495, 5469, 621, 4703, 1291, 1470, 26, 452, 9551, 2739, 9275, 1237, 261, 786, 5, 135, 2074, 2074, 657, 12996, 9, 215, 9, 880, 2074, 2074, 139, 198, 20, 479, 3417, 4263, 11415, 250, 36426, 20, 36, 4, 668, 293, 3546, 1947, 220, 4, 40, 4, 32887, 76, 27, 532, 1316, 7, 663, 132, 13, 308, 548, 370, 8, 26, 30, 125, 121, 20207, 517, 44, 523, 7, 557, 282, 33, 661, 16, 420, 229, 13, 224, 293, 15172, 26, 3733, 19356, 28663, 4, 54, 4, 283, 26, 68, 491, 7959, 12246, 1365, 8951, 81, 2234, 7983, 378, 4310, 16, 35, 662, 4, 4, 25495, 5469, 2550, 17406, 12, 37990, 2935, 7044, 1876, 11, 1237, 261, 786, 5, 135, 2074, 2074, 657, 12996, 9, 215, 9, 249, 2074, 2074, 139, 40, 20, 1870, 3332, 5098, 20, 18, 15699, 2481, 888, 10, 2018, 7, 61, 1147, 13, 1426, 6, 702, 1307, 5532, 1214, 4, 23999, 22448, 2481, 21, 859, 10, 2018, 4, 18, 702, 1231, 10296, 638, 5121, 10, 6, 29504, 4, 1875, 30966, 16, 419, 10, 3053, 7, 223, 21, 102, 99, 410, 10, 6, 931, 5, 6439, 17921, 7, 1844, 4382, 14441, 7, 30, 630, 647, 16291, 4, 4, 25495, 5469, 10896, 2550, 17406, 1470, 1514, 1470, 26, 452, 103, 1514, 2630, 9551, 283, 7, 299, 6101, 9, 2660, 269, 5222, 20187, 1237, 261, 786, 5, 135, 2074, 2074, 657, 12996, 9, 208, 9, 36, 2074, 2074, 139, 91, 20, 627, 3417, 4263, 11415, 250, 36426, 20, 36, 4, 668, 630, 12735, 507, 30, 293, 1261, 5240, 4, 40, 4, 10699, 4382, 14441, 7, 702, 368, 48, 491, 7, 15, 902, 5100, 122, 6, 34980, 7, 46, 181, 33, 6521, 5453, 4, 5919, 12090, 29390, 2513, 2187, 7, 8, 21, 41, 663, 13, 1676, 7430, 3089, 10360, 4, 54, 4, 11068, 829, 10, 2018, 4, 85, 4, 12881, 647, 6604, 4, 82, 4, 15489, 17921, 4, 4, 25495, 5469, 2550, 17406, 12, 37990, 2935, 7044, 1876, 11, 1237, 261, 786, 5, 135, 2074, 2074, 657, 12996, 9, 208, 9, 116, 2074, 2074, 139, 85, 20, 1020, 3332, 4263, 11415, 250, 36426, 20, 1876, 2268, 97, 13, 135, 2074, 2074, 215, 9, 1083, 2074, 2074, 139, 20, 13930, 630, 3237, 57, 14775, 1221, 135, 2074, 2074, 208, 9, 82, 2074, 2074, 139, 4, 6417, 429, 8, 1589, 318, 8, 24205, 1980, 2795, 3614, 31, 308, 4, 668, 12837, 30, 4382, 6974, 4, 12801, 14488, 638, 24492, 698, 282, 33, 1905, 9, 330, 23, 3310, 114, 21, 41, 21471, 4, 18303, 2481, 30, 2033, 5121, 10, 6, 1349, 3897, 7, 27, 356, 4, 4, 25495, 5469, 2550, 17406, 12, 37990, 2935, 7044, 1876, 11, 1237, 261, 786, 5, 135, 2074, 2074, 657, 12996, 9, 208, 9, 400, 2074, 2074, 139, 85, 20, 1648, 3332, 916, 9464, 7, 6, 125, 21, 1916, 21471, 4, 14979, 3734, 9537, 2481, 8, 702, 321, 7421, 31, 10, 595, 3053, 4, 7489, 2481, 5025, 21, 387, 5, 1957, 2004, 6, 9617, 4, 230, 2898, 5610, 36133, 28492, 1528, 1184, 997, 15, 4516, 30, 3043, 31, 988 ]
94,125
30125
[ 410, 4, 25495, 5469, 621, 4703, 1291, 1470, 26, 452, 9551, 2739, 9275, 1237, 261, 786, 5, 135, 2074, 2074, 657, 12996, 9, 215, 9, 880, 2074, 2074, 139, 198, 20, 479, 3417, 4263, 11415, 250, 36426, 20, 36, 4, 668, 293, 3546, 1947, 220, 4, 40, 4, 32887, 76, 27, 532, 1316, 7, 663, 132, 13, 308, 548, 370, 8, 26, 30, 125, 121, 20207, 517, 44, 523, 7, 557, 282, 33, 661, 16, 420, 229, 13, 224, 293, 15172, 26, 3733, 19356, 28663, 4, 54, 4, 283, 26, 68, 491, 7959, 12246, 1365, 8951, 81, 2234, 7983, 378, 4310, 16, 35, 662, 4, 4, 25495, 5469, 2550, 17406, 12, 37990, 2935, 7044, 1876, 11, 1237, 261, 786, 5, 135, 2074, 2074, 657, 12996, 9, 215, 9, 249, 2074, 2074, 139, 40, 20, 1870, 3332, 5098, 20, 18, 15699, 2481, 888, 10, 2018, 7, 61, 1147, 13, 1426, 6, 702, 1307, 5532, 1214, 4, 23999, 22448, 2481, 21, 859, 10, 2018, 4, 18, 702, 1231, 10296, 638, 5121, 10, 6, 29504, 4, 1875, 30966, 16, 419, 10, 3053, 7, 223, 21, 102, 99, 410, 10, 6, 931, 5, 6439, 17921, 7, 1844, 4382, 14441, 7, 30, 630, 647, 16291, 4, 4, 25495, 5469, 10896, 2550, 17406, 1470, 1514, 1470, 26, 452, 103, 1514, 2630, 9551, 283, 7, 299, 6101, 9, 2660, 269, 5222, 20187, 1237, 261, 786, 5, 135, 2074, 2074, 657, 12996, 9, 208, 9, 36, 2074, 2074, 139, 91, 20, 627, 3417, 4263, 11415, 250, 36426, 20, 36, 4, 668, 630, 12735, 507, 30, 293, 1261, 5240, 4, 40, 4, 10699, 4382, 14441, 7, 702, 368, 48, 491, 7, 15, 902, 5100, 122, 6, 34980, 7, 46, 181, 33, 6521, 5453, 4, 5919, 12090, 29390, 2513, 2187, 7, 8, 21, 41, 663, 13, 1676, 7430, 3089, 10360, 4, 54, 4, 11068, 829, 10, 2018, 4, 85, 4, 12881, 647, 6604, 4, 82, 4, 15489, 17921, 4, 4, 25495, 5469, 2550, 17406, 12, 37990, 2935, 7044, 1876, 11, 1237, 261, 786, 5, 135, 2074, 2074, 657, 12996, 9, 208, 9, 116, 2074, 2074, 139, 85, 20, 1020, 3332, 4263, 11415, 250, 36426, 20, 1876, 2268, 97, 13, 135, 2074, 2074, 215, 9, 1083, 2074, 2074, 139, 20, 13930, 630, 3237, 57, 14775, 1221, 135, 2074, 2074, 208, 9, 82, 2074, 2074, 139, 4, 6417, 429, 8, 1589, 318, 8, 24205, 1980, 2795, 3614, 31, 308, 4, 668, 12837, 30, 4382, 6974, 4, 12801, 14488, 638, 24492, 698, 282, 33, 1905, 9, 330, 23, 3310, 114, 21, 41, 21471, 4, 18303, 2481, 30, 2033, 5121, 10, 6, 1349, 3897, 7, 27, 356, 4, 4, 25495, 5469, 2550, 17406, 12, 37990, 2935, 7044, 1876, 11, 1237, 261, 786, 5, 135, 2074, 2074, 657, 12996, 9, 208, 9, 400, 2074, 2074, 139, 85, 20, 1648, 3332, 916, 9464, 7, 6, 125, 21, 1916, 21471, 4, 14979, 3734, 9537, 2481, 8, 702, 321, 7421, 31, 10, 595, 3053, 4, 7489, 2481, 5025, 21, 387, 5, 1957, 2004, 6, 9617, 4, 230, 2898, 5610, 36133, 28492, 1528, 1184, 997, 15, 4516, 30, 3043, 31, 988, 4, 403, 10247, 3318, 10, 6, 702, 1349, 3820, 21, 77, 20252, 10, 35, 818, 181, 33, 244, 13, 4516, 4, 4, 25495, 5469, 5726, 3494, 452, 403, 3916, 4079, 2435, 1015, 18029, 343, 3907, 4737, 2697, 5783, 1470, 1237, 261, 786, 5, 135, 2074, 2074, 657, 12996, 9, 208, 9, 656, 2074, 2074, 139, 348, 20, 1648, 3332, 4263, 11415, 250, 36426, 20, 13930, 15284, 9680, 667, 23, 13801, 239, 6240, 115, 15, 3129, 12106, 7, 8, 13801, 239, 6184, 2764, 8, 6184, 1954, 3321, 7, 946, 10, 2832, 5, 5470, 70, 25442, 5, 3129, 12106, 4, 4, 25495, 5469, 621, 2935, 5181, 25190, 1470, 26, 9551, 2739, 9275, 1237, 261, 786, 5, 135, 2074, 2074, 657, 12996, 9, 208, 9, 219, 2074, 2074, 139, 91, 20, 465, 3332, 4263, 11415, 250, 36426, 20, 36, 4, 6045, 1060, 5289, 828, 2414, 23592, 517, 516, 14530, 32509, 662, 4, 17949, 207, 5511, 2048, 36100, 831, 10, 6, 32305, 19735, 4015, 21, 41, 27, 126, 330, 25, 6, 404, 38, 61, 21, 41, 90, 2620, 8, 663, 2183, 8478, 5, 12417, 4, 40, 4, 1243, 2917, 4576, 284, 496, 102, 1649, 667, 4, 13176, 282, 33, 8021, 13, 55, 708, 25, 14500, 100, 4, 54, 4, 3246, 17178, 16921, 23840, 3844, 4084, 23046, 63, 1676, 234, 7, 986, 8, 188, 663, 3237, 4, 85, 4, 2797, 34108, 815, 630, 612, 800, 1064, 630, 993, 936, 4, 82, 4, 261, 8400, 700, 612, 11160, 16708, 772, 1184, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 410, 4, 25495, 5469, 621, 4703, 1291, 1470, 26, 452, 9551, 2739, 9275, 1237, 261, 786, 5, 135, 2074, 2074, 657, 12996, 9, 215, 9, 880, 2074, 2074, 139, 198, 20, 479, 3417, 4263, 11415, 250, 36426, 20, 36, 4, 668, 293, 3546, 1947, 220, 4, 40, 4, 32887, 76, 27, 532, 1316, 7, 663, 132, 13, 308, 548, 370, 8, 26, 30, 125, 121, 20207, 517, 44, 523, 7, 557, 282, 33, 661, 16, 420, 229, 13, 224, 293, 15172, 26, 3733, 19356, 28663, 4, 54, 4, 283, 26, 68, 491, 7959, 12246, 1365, 8951, 81, 2234, 7983, 378, 4310, 16, 35, 662, 4, 4, 25495, 5469, 2550, 17406, 12, 37990, 2935, 7044, 1876, 11, 1237, 261, 786, 5, 135, 2074, 2074, 657, 12996, 9, 215, 9, 249, 2074, 2074, 139, 40, 20, 1870, 3332, 5098, 20, 18, 15699, 2481, 888, 10, 2018, 7, 61, 1147, 13, 1426, 6, 702, 1307, 5532, 1214, 4, 23999, 22448, 2481, 21, 859, 10, 2018, 4, 18, 702, 1231, 10296, 638, 5121, 10, 6, 29504, 4, 1875, 30966, 16, 419, 10, 3053, 7, 223, 21, 102, 99, 410, 10, 6, 931, 5, 6439, 17921, 7, 1844, 4382, 14441, 7, 30, 630, 647, 16291, 4, 4, 25495, 5469, 10896, 2550, 17406, 1470, 1514, 1470, 26, 452, 103, 1514, 2630, 9551, 283, 7, 299, 6101, 9, 2660, 269, 5222, 20187, 1237, 261, 786, 5, 135, 2074, 2074, 657, 12996, 9, 208, 9, 36, 2074, 2074, 139, 91, 20, 627, 3417, 4263, 11415, 250, 36426, 20, 36, 4, 668, 630, 12735, 507, 30, 293, 1261, 5240, 4, 40, 4, 10699, 4382, 14441, 7, 702, 368, 48, 491, 7, 15, 902, 5100, 122, 6, 34980, 7, 46, 181, 33, 6521, 5453, 4, 5919, 12090, 29390, 2513, 2187, 7, 8, 21, 41, 663, 13, 1676, 7430, 3089, 10360, 4, 54, 4, 11068, 829, 10, 2018, 4, 85, 4, 12881, 647, 6604, 4, 82, 4, 15489, 17921, 4, 4, 25495, 5469, 2550, 17406, 12, 37990, 2935, 7044, 1876, 11, 1237, 261, 786, 5, 135, 2074, 2074, 657, 12996, 9, 208, 9, 116, 2074, 2074, 139, 85, 20, 1020, 3332, 4263, 11415, 250, 36426, 20, 1876, 2268, 97, 13, 135, 2074, 2074, 215, 9, 1083, 2074, 2074, 139, 20, 13930, 630, 3237, 57, 14775, 1221, 135, 2074, 2074, 208, 9, 82, 2074, 2074, 139, 4, 6417, 429, 8, 1589, 318, 8, 24205, 1980, 2795, 3614, 31, 308, 4, 668, 12837, 30, 4382, 6974, 4, 12801, 14488, 638, 24492, 698, 282, 33, 1905, 9, 330, 23, 3310, 114, 21, 41, 21471, 4, 18303, 2481, 30, 2033, 5121, 10, 6, 1349, 3897, 7, 27, 356, 4, 4, 25495, 5469, 2550, 17406, 12, 37990, 2935, 7044, 1876, 11, 1237, 261, 786, 5, 135, 2074, 2074, 657, 12996, 9, 208, 9, 400, 2074, 2074, 139, 85, 20, 1648, 3332, 916, 9464, 7, 6, 125, 21, 1916, 21471, 4, 14979, 3734, 9537, 2481, 8, 702, 321, 7421, 31, 10, 595, 3053, 4, 7489, 2481, 5025, 21, 387, 5, 1957, 2004, 6, 9617, 4, 230, 2898, 5610, 36133, 28492, 1528, 1184, 997, 15, 4516, 30, 3043, 31, 988, 4, 403, 10247, 3318, 10, 6, 702, 1349, 3820, 21, 77, 20252, 10, 35, 818, 181, 33, 244, 13, 4516, 4, 4, 25495, 5469, 5726, 3494, 452, 403, 3916, 4079, 2435, 1015, 18029, 343, 3907, 4737, 2697, 5783, 1470, 1237, 261, 786, 5, 135, 2074, 2074, 657, 12996, 9, 208, 9, 656, 2074, 2074, 139, 348, 20, 1648, 3332, 4263, 11415, 250, 36426, 20, 13930, 15284, 9680, 667, 23, 13801, 239, 6240, 115, 15, 3129, 12106, 7, 8, 13801, 239, 6184, 2764, 8, 6184, 1954, 3321, 7, 946, 10, 2832, 5, 5470, 70, 25442, 5, 3129, 12106, 4, 4, 25495, 5469, 621, 2935, 5181, 25190, 1470, 26, 9551, 2739, 9275, 1237, 261, 786, 5, 135, 2074, 2074, 657, 12996, 9, 208, 9, 219, 2074, 2074, 139, 91, 20, 465, 3332, 4263, 11415, 250, 36426, 20, 36, 4, 6045, 1060, 5289, 828, 2414, 23592, 517, 516, 14530, 32509, 662, 4, 17949, 207, 5511, 2048, 36100, 831, 10, 6, 32305, 19735, 4015, 21, 41, 27, 126, 330, 25, 6, 404, 38, 61, 21, 41, 90, 2620, 8, 663, 2183, 8478, 5, 12417, 4, 40, 4, 1243, 2917, 4576, 284, 496, 102, 1649, 667, 4, 13176, 282, 33, 8021, 13, 55, 708, 25, 14500, 100, 4, 54, 4, 3246, 17178, 16921, 23840, 3844, 4084, 23046, 63, 1676, 234, 7, 986, 8, 188, 663, 3237, 4, 85, 4, 2797, 34108, 815, 630, 612, 800, 1064, 630, 993, 936, 4, 82, 4, 261, 8400, 700, 612, 11160, 16708, 772, 1184, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
94,125
30125
[ 5493, 305, 10421, 20, 9866, 1057, 627, 12, 1223, 7947, 7341, 5838, 205, 30746, 5, 2561, 30, 26021, 11, 44, 5216, 3690, 12, 2900, 7488, 836, 936, 11, 44, 449, 12544, 12, 18758, 757, 5, 1107, 7385, 5, 502, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 8738, 1541, 91, 12, 30393, 507, 5, 6979, 15, 98, 15958, 7, 205, 30746, 5, 2561, 11, 44, 2127, 5003, 12, 11283, 7385, 5, 1098, 5, 3713, 11, 44, 10536, 28566, 12, 22765, 15518, 1939, 5, 1963, 12, 205, 30746, 5, 2715, 11, 11, 44, 351, 10721, 2365, 12, 2768, 910, 608, 11, 44, 351, 10721, 1827, 12, 2768, 8, 308, 910, 608, 277, 1479, 8, 240, 11, 44, 430, 20215, 12, 3302, 308, 630, 429, 481, 11, 44, 430, 25972, 12, 3664, 4370, 277, 535, 240, 11, 44, 17446, 2646, 777, 12, 11075, 21699, 7, 15284, 349, 11, 44, 8030, 2646, 1520, 12, 3302, 910, 563, 11, 44, 351, 24043, 12, 5921, 9714, 11, 27730, 305, 10421, 20, 4419, 12982, 10440, 160, 1223, 12748, 2267, 20, 18726, 1717, 389, 9, 160, 15, 19594, 135, 2074, 2074, 30760, 299, 11142, 12, 2047, 1432, 4043, 11, 2074, 2074, 139, 25, 135, 2074, 2074, 657, 12996, 9, 348, 9, 198, 2074, 2074, 139, 34, 208, 20, 3536, 3175, 4, 17782, 23763, 23, 20, 135, 2074, 2074, 657, 12996, 9, 208, 9, 627, 2074, 2074, 139, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 9866, 1057, 627, 12, 1223, 7947, 7341, 5838, 205, 30746, 5, 2561, 30, 26021, 11, 44, 5216, 3690, 12, 2900, 7488, 836, 936, 11, 44, 449, 12544, 12, 18758, 757, 5, 1107, 7385, 5, 502, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 8738, 1541, 91, 12, 30393, 507, 5, 6979, 15, 98, 15958, 7, 205, 30746, 5, 2561, 11, 44, 2127, 5003, 12, 11283, 7385, 5, 1098, 5, 3713, 11, 44, 10536, 28566, 12, 22765, 15518, 1939, 5, 1963, 12, 205, 30746, 5, 2715, 11, 11, 44, 351, 10721, 2365, 12, 2768, 910, 608, 11, 44, 351, 10721, 1827, 12, 2768, 8, 308, 910, 608, 277, 1479, 8, 240, 11, 44, 430, 20215, 12, 3302, 308, 630, 429, 481, 11, 44, 430, 25972, 12, 3664, 4370, 277, 535, 240, 11, 44, 17446, 2646, 777, 12, 11075, 21699, 7, 15284, 349, 11, 44, 8030, 2646, 1520, 12, 3302, 910, 563, 11, 44, 351, 24043, 12, 5921, 9714, 11, 27730, 305, 10421, 20, 4419, 12982, 10440, 160, 1223, 12748, 2267, 20, 18726, 1717, 389, 9, 160, 15, 19594, 135, 2074, 2074, 30760, 299, 11142, 12, 2047, 1432, 4043, 11, 2074, 2074, 139, 25, 135, 2074, 2074, 657, 12996, 9, 348, 9, 198, 2074, 2074, 139, 34, 208, 20, 3536, 3175, 4, 17782, 23763, 23, 20, 135, 2074, 2074, 657, 12996, 9, 208, 9, 627, 2074, 2074, 139, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
94,125
30125
[ 5493, 305, 10421, 20, 9866, 1057, 627, 12, 1223, 7947, 7341, 5838, 205, 30746, 5, 2561, 30, 26021, 11, 44, 5216, 3690, 12, 2900, 7488, 836, 936, 11, 44, 449, 12544, 12, 18758, 757, 5, 1107, 7385, 5, 502, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 8738, 1541, 91, 12, 30393, 507, 5, 6979, 15, 98, 15958, 7, 205, 30746, 5, 2561, 11, 44, 2127, 5003, 12, 11283, 7385, 5, 1098, 5, 3713, 11, 44, 10536, 28566, 12, 22765, 15518, 1939, 5, 1963, 12, 205, 30746, 5, 2715, 11, 11, 44, 351, 10721, 2365, 12, 2768, 910, 608, 11, 44, 351, 10721, 1827, 12, 2768, 8, 308, 910, 608, 277, 1479, 8, 240, 11, 44, 430, 20215, 12, 3302, 308, 630, 429, 481, 11, 44, 430, 25972, 12, 3664, 4370, 277, 535, 240, 11, 44, 17446, 2646, 777, 12, 11075, 21699, 7, 15284, 349, 11, 44, 8030, 2646, 1520, 12, 3302, 910, 563, 11, 44, 351, 24043, 12, 5921, 9714, 11, 27730, 305, 10421, 20, 4419, 36321, 313, 2435, 6278, 2493, 3409, 1799, 18001, 20, 36, 4, 21566, 12, 24476, 11, 19667, 1320, 26, 1144, 21261, 5799, 454, 20, 810, 12, 36, 11, 13856, 1537, 1740, 354, 12, 1873, 198, 866, 11, 4, 40, 4, 15122, 36649, 10687, 297, 194, 26, 82, 1144, 14041, 5799, 454, 20, 810, 12, 36, 11, 6885, 31097, 12, 40, 711, 14, 262, 11, 4, 54, 4, 287, 28367, 10093, 2410, 194, 26, 82, 1144, 21261, 16, 4457, 6277, 2363, 5799, 454, 20, 810, 12, 36, 11, 1223, 27896, 135, 2074, 2074, 18820, 846, 36, 2074, 2074, 139, 12, 40, 711, 14, 262, 11, 4, 85, 4, 5234, 1060, 15353, 82, 194, 26332, 6613, 5799, 454, 20, 810, 12, 36, 11, 26332, 6613, 6885, 261, 4177, 21568, 12, 11108, 11, 4, 82, 4, 14405, 26584, 28205, 2582, 25073, 26332, 6613, 5799, 454, 20, 810, 12, 36, 11, 26332, 6613, 6885, 261, 4177, 21568, 12, 11108, 11, 4, 116, 4, 35160, 9016, 13964, 219, 194, 26332, 6613, 5799, 454, 20, 810, 12, 36, 11, 26332, 6613, 6885, 1537, 1740, 354, 12, 1873, 198, 866, 11, 4, 215, 4, 1875, 21415, 791, 25073, 26, 2938, 5287, 831, 18300, 32215, 5799, 454, 20, 722, 12, 40, 11, 19147, 9131, 1223, 27896, 1537, 28352, 12, 1873, 85, 866, 11, 27, 1003, 4, 208, 4, 5234, 38690, 91, 194, 26332, 6613, 5799, 454, 20, 722, 12, 40, 11, 26332, 6613, 6885, 1537, 6112, 12, 85, 711, 14, 262, 11, 4, 348, 4, 1875, 21415, 15784, 786, 1768, 194, 26, 54, 1144, 12, 2397, 2243, 24, 11, 21261, 16, 4457, 6277, 2363, 5799, 454, 20, 810, 12, 36, 11, 1223, 27896, 1537, 393, 354, 12, 1873, 116, 866, 11, 27, 1003, 4, 91, 4, 388, 3796, 12591, 434, 194, 26332, 6613, 5799, 454, 20, 810, 12, 36, 11, 26332, 6613, 6885, 261, 4177, 21568, 12, 11108, 11, 4, 402, 4, 6527, 6441, 86, 40, 194, 26332, 6613, 5799, 454, 20, 36, 9, 40, 26332, 10952, 6885, 1537, 1744, 12, 1873, 54, 866, 11, 27, 1003, 4, 198, 4, 29329, 35956, 504, 194, 26332, 6613, 21676, 15524, 5799, 454, 20, 810, 12, 36, 11, 26332, 6613, 21676, 15524, 6885, 261, 4177, 21568, 12, 11108, 11, 4, 465, 4, 6527, 38439, 6652, 194, 6638, 6307, 707, 5799, 454, 20, 810, 12, 36, 11, 6638, 6307, 707, 6885, 261, 4177, 21568, 12, 11108, 11, 4, 400, 4, 8488, 38251, 5552, 194, 26332, 6613, 5799, 454, 20, 722, 12, 40, 11, 26332, 6613, 6885, 261, 4177, 21568, 12, 11108, 11, 4, 274, 4, 6660, 29382, 1969, 39707, 787, 359, 1320, 26, 1144, 30677, 21487, 5799, 454, 20, 1723, 2656, 12, 434, 11, 22781, 2919, 14, 262, 4, 479, 4, 6660, 22867, 1969, 359, 1320, 26, 1144, 21261, 5799, 454, 20, 250, 18444, 820, 2113, 13856, 309, 711, 14, 262, 4, 580, 4, 8690, 1637, 36520, 9, 287, 1923, 39143, 9, 261, 7764, 279, 3462, 4806, 26, 359, 1144, 20828, 28519, 2135, 5799, 454, 20, 810, 12, 36, 11, 10613, 1537, 483, 354, 12, 1873, 208, 866, 11, 16, 40, 405, 20, 40, 405, 4, 414, 4, 21566, 7, 24476, 12, 5124, 11, 91, 1320, 26, 1144, 250, 4383, 22074, 5799, 454, 20, 722, 12, 40, 11, 8551, 10613, 2873, 190, 12, 27, 1003, 11, 27, 1003, 16, 638, 33706, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 9866, 1057, 627, 12, 1223, 7947, 7341, 5838, 205, 30746, 5, 2561, 30, 26021, 11, 44, 5216, 3690, 12, 2900, 7488, 836, 936, 11, 44, 449, 12544, 12, 18758, 757, 5, 1107, 7385, 5, 502, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 8738, 1541, 91, 12, 30393, 507, 5, 6979, 15, 98, 15958, 7, 205, 30746, 5, 2561, 11, 44, 2127, 5003, 12, 11283, 7385, 5, 1098, 5, 3713, 11, 44, 10536, 28566, 12, 22765, 15518, 1939, 5, 1963, 12, 205, 30746, 5, 2715, 11, 11, 44, 351, 10721, 2365, 12, 2768, 910, 608, 11, 44, 351, 10721, 1827, 12, 2768, 8, 308, 910, 608, 277, 1479, 8, 240, 11, 44, 430, 20215, 12, 3302, 308, 630, 429, 481, 11, 44, 430, 25972, 12, 3664, 4370, 277, 535, 240, 11, 44, 17446, 2646, 777, 12, 11075, 21699, 7, 15284, 349, 11, 44, 8030, 2646, 1520, 12, 3302, 910, 563, 11, 44, 351, 24043, 12, 5921, 9714, 11, 27730, 305, 10421, 20, 4419, 36321, 313, 2435, 6278, 2493, 3409, 1799, 18001, 20, 36, 4, 21566, 12, 24476, 11, 19667, 1320, 26, 1144, 21261, 5799, 454, 20, 810, 12, 36, 11, 13856, 1537, 1740, 354, 12, 1873, 198, 866, 11, 4, 40, 4, 15122, 36649, 10687, 297, 194, 26, 82, 1144, 14041, 5799, 454, 20, 810, 12, 36, 11, 6885, 31097, 12, 40, 711, 14, 262, 11, 4, 54, 4, 287, 28367, 10093, 2410, 194, 26, 82, 1144, 21261, 16, 4457, 6277, 2363, 5799, 454, 20, 810, 12, 36, 11, 1223, 27896, 135, 2074, 2074, 18820, 846, 36, 2074, 2074, 139, 12, 40, 711, 14, 262, 11, 4, 85, 4, 5234, 1060, 15353, 82, 194, 26332, 6613, 5799, 454, 20, 810, 12, 36, 11, 26332, 6613, 6885, 261, 4177, 21568, 12, 11108, 11, 4, 82, 4, 14405, 26584, 28205, 2582, 25073, 26332, 6613, 5799, 454, 20, 810, 12, 36, 11, 26332, 6613, 6885, 261, 4177, 21568, 12, 11108, 11, 4, 116, 4, 35160, 9016, 13964, 219, 194, 26332, 6613, 5799, 454, 20, 810, 12, 36, 11, 26332, 6613, 6885, 1537, 1740, 354, 12, 1873, 198, 866, 11, 4, 215, 4, 1875, 21415, 791, 25073, 26, 2938, 5287, 831, 18300, 32215, 5799, 454, 20, 722, 12, 40, 11, 19147, 9131, 1223, 27896, 1537, 28352, 12, 1873, 85, 866, 11, 27, 1003, 4, 208, 4, 5234, 38690, 91, 194, 26332, 6613, 5799, 454, 20, 722, 12, 40, 11, 26332, 6613, 6885, 1537, 6112, 12, 85, 711, 14, 262, 11, 4, 348, 4, 1875, 21415, 15784, 786, 1768, 194, 26, 54, 1144, 12, 2397, 2243, 24, 11, 21261, 16, 4457, 6277, 2363, 5799, 454, 20, 810, 12, 36, 11, 1223, 27896, 1537, 393, 354, 12, 1873, 116, 866, 11, 27, 1003, 4, 91, 4, 388, 3796, 12591, 434, 194, 26332, 6613, 5799, 454, 20, 810, 12, 36, 11, 26332, 6613, 6885, 261, 4177, 21568, 12, 11108, 11, 4, 402, 4, 6527, 6441, 86, 40, 194, 26332, 6613, 5799, 454, 20, 36, 9, 40, 26332, 10952, 6885, 1537, 1744, 12, 1873, 54, 866, 11, 27, 1003, 4, 198, 4, 29329, 35956, 504, 194, 26332, 6613, 21676, 15524, 5799, 454, 20, 810, 12, 36, 11, 26332, 6613, 21676, 15524, 6885, 261, 4177, 21568, 12, 11108, 11, 4, 465, 4, 6527, 38439, 6652, 194, 6638, 6307, 707, 5799, 454, 20, 810, 12, 36, 11, 6638, 6307, 707, 6885, 261, 4177, 21568, 12, 11108, 11, 4, 400, 4, 8488, 38251, 5552, 194, 26332, 6613, 5799, 454, 20, 722, 12, 40, 11, 26332, 6613, 6885, 261, 4177, 21568, 12, 11108, 11, 4, 274, 4, 6660, 29382, 1969, 39707, 787, 359, 1320, 26, 1144, 30677, 21487, 5799, 454, 20, 1723, 2656, 12, 434, 11, 22781, 2919, 14, 262, 4, 479, 4, 6660, 22867, 1969, 359, 1320, 26, 1144, 21261, 5799, 454, 20, 250, 18444, 820, 2113, 13856, 309, 711, 14, 262, 4, 580, 4, 8690, 1637, 36520, 9, 287, 1923, 39143, 9, 261, 7764, 279, 3462, 4806, 26, 359, 1144, 20828, 28519, 2135, 5799, 454, 20, 810, 12, 36, 11, 10613, 1537, 483, 354, 12, 1873, 208, 866, 11, 16, 40, 405, 20, 40, 405, 4, 414, 4, 21566, 7, 24476, 12, 5124, 11, 91, 1320, 26, 1144, 250, 4383, 22074, 5799, 454, 20, 722, 12, 40, 11, 8551, 10613, 2873, 190, 12, 27, 1003, 11, 27, 1003, 16, 638, 33706, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
94,125
30125
[ 5493, 305, 10421, 20, 9866, 1057, 627, 12, 1223, 7947, 7341, 5838, 205, 30746, 5, 2561, 30, 26021, 11, 44, 5216, 3690, 12, 2900, 7488, 836, 936, 11, 44, 449, 12544, 12, 18758, 757, 5, 1107, 7385, 5, 502, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 8738, 1541, 91, 12, 30393, 507, 5, 6979, 15, 98, 15958, 7, 205, 30746, 5, 2561, 11, 44, 2127, 5003, 12, 11283, 7385, 5, 1098, 5, 3713, 11, 44, 10536, 28566, 12, 22765, 15518, 1939, 5, 1963, 12, 205, 30746, 5, 2715, 11, 11, 44, 351, 10721, 2365, 12, 2768, 910, 608, 11, 44, 351, 10721, 1827, 12, 2768, 8, 308, 910, 608, 277, 1479, 8, 240, 11, 44, 430, 20215, 12, 3302, 308, 630, 429, 481, 11, 44, 430, 25972, 12, 3664, 4370, 277, 535, 240, 11, 44, 17446, 2646, 777, 12, 11075, 21699, 7, 15284, 349, 11, 44, 8030, 2646, 1520, 12, 3302, 910, 563, 11, 44, 351, 24043, 12, 5921, 9714, 11, 27730, 305, 10421, 20, 4419, 36321, 313, 2435, 6278, 33229, 12278, 20, 27868, 5, 6, 3713, 5517, 9, 8682, 2768, 8868, 8729, 26, 16012, 5517, 9, 8682, 2827, 8087, 25843, 5517, 9, 8682, 17814, 17442, 9482, 2130, 26, 5921, 10428, 5517, 9, 8682, 3978, 30074, 20612, 26, 5389, 7761, 2719, 5517, 9, 8682, 13930, 15284, 9680, 5517, 9, 8682, 29363, 5517, 9, 8682, 5619, 12805, 38946, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 9866, 1057, 627, 12, 1223, 7947, 7341, 5838, 205, 30746, 5, 2561, 30, 26021, 11, 44, 5216, 3690, 12, 2900, 7488, 836, 936, 11, 44, 449, 12544, 12, 18758, 757, 5, 1107, 7385, 5, 502, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 8738, 1541, 91, 12, 30393, 507, 5, 6979, 15, 98, 15958, 7, 205, 30746, 5, 2561, 11, 44, 2127, 5003, 12, 11283, 7385, 5, 1098, 5, 3713, 11, 44, 10536, 28566, 12, 22765, 15518, 1939, 5, 1963, 12, 205, 30746, 5, 2715, 11, 11, 44, 351, 10721, 2365, 12, 2768, 910, 608, 11, 44, 351, 10721, 1827, 12, 2768, 8, 308, 910, 608, 277, 1479, 8, 240, 11, 44, 430, 20215, 12, 3302, 308, 630, 429, 481, 11, 44, 430, 25972, 12, 3664, 4370, 277, 535, 240, 11, 44, 17446, 2646, 777, 12, 11075, 21699, 7, 15284, 349, 11, 44, 8030, 2646, 1520, 12, 3302, 910, 563, 11, 44, 351, 24043, 12, 5921, 9714, 11, 27730, 305, 10421, 20, 4419, 36321, 313, 2435, 6278, 33229, 12278, 20, 27868, 5, 6, 3713, 5517, 9, 8682, 2768, 8868, 8729, 26, 16012, 5517, 9, 8682, 2827, 8087, 25843, 5517, 9, 8682, 17814, 17442, 9482, 2130, 26, 5921, 10428, 5517, 9, 8682, 3978, 30074, 20612, 26, 5389, 7761, 2719, 5517, 9, 8682, 13930, 15284, 9680, 5517, 9, 8682, 29363, 5517, 9, 8682, 5619, 12805, 38946, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
94,125
30125
[ 5493, 305, 10421, 20, 9866, 1057, 627, 12, 1223, 7947, 7341, 5838, 205, 30746, 5, 2561, 30, 26021, 11, 44, 5216, 3690, 12, 2900, 7488, 836, 936, 11, 44, 449, 12544, 12, 18758, 757, 5, 1107, 7385, 5, 502, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 8738, 1541, 91, 12, 30393, 507, 5, 6979, 15, 98, 15958, 7, 205, 30746, 5, 2561, 11, 44, 2127, 5003, 12, 11283, 7385, 5, 1098, 5, 3713, 11, 44, 10536, 28566, 12, 22765, 15518, 1939, 5, 1963, 12, 205, 30746, 5, 2715, 11, 11, 44, 351, 10721, 2365, 12, 2768, 910, 608, 11, 44, 351, 10721, 1827, 12, 2768, 8, 308, 910, 608, 277, 1479, 8, 240, 11, 44, 430, 20215, 12, 3302, 308, 630, 429, 481, 11, 44, 430, 25972, 12, 3664, 4370, 277, 535, 240, 11, 44, 17446, 2646, 777, 12, 11075, 21699, 7, 15284, 349, 11, 44, 8030, 2646, 1520, 12, 3302, 910, 563, 11, 44, 351, 24043, 12, 5921, 9714, 11, 27730, 305, 10421, 20, 4419, 2493, 3409, 1799, 18001, 6101, 2571, 3643, 250, 36426, 20, 1875, 38784, 892, 1537, 4302, 7, 19766, 434, 104, 7, 34578, 1437, 104, 7, 871, 1506, 36472, 11016, 4253, 104, 7, 6742, 26584, 28205, 18981, 25073, 104, 7, 9402, 791, 104, 7, 31634, 12003, 104, 7, 8216, 2365, 104, 7, 12710, 279, 7, 765, 1511, 14108, 7, 10623, 7, 1232, 51, 245, 7, 24285, 7, 13139, 316, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 9866, 1057, 627, 12, 1223, 7947, 7341, 5838, 205, 30746, 5, 2561, 30, 26021, 11, 44, 5216, 3690, 12, 2900, 7488, 836, 936, 11, 44, 449, 12544, 12, 18758, 757, 5, 1107, 7385, 5, 502, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 8738, 1541, 91, 12, 30393, 507, 5, 6979, 15, 98, 15958, 7, 205, 30746, 5, 2561, 11, 44, 2127, 5003, 12, 11283, 7385, 5, 1098, 5, 3713, 11, 44, 10536, 28566, 12, 22765, 15518, 1939, 5, 1963, 12, 205, 30746, 5, 2715, 11, 11, 44, 351, 10721, 2365, 12, 2768, 910, 608, 11, 44, 351, 10721, 1827, 12, 2768, 8, 308, 910, 608, 277, 1479, 8, 240, 11, 44, 430, 20215, 12, 3302, 308, 630, 429, 481, 11, 44, 430, 25972, 12, 3664, 4370, 277, 535, 240, 11, 44, 17446, 2646, 777, 12, 11075, 21699, 7, 15284, 349, 11, 44, 8030, 2646, 1520, 12, 3302, 910, 563, 11, 44, 351, 24043, 12, 5921, 9714, 11, 27730, 305, 10421, 20, 4419, 2493, 3409, 1799, 18001, 6101, 2571, 3643, 250, 36426, 20, 1875, 38784, 892, 1537, 4302, 7, 19766, 434, 104, 7, 34578, 1437, 104, 7, 871, 1506, 36472, 11016, 4253, 104, 7, 6742, 26584, 28205, 18981, 25073, 104, 7, 9402, 791, 104, 7, 31634, 12003, 104, 7, 8216, 2365, 104, 7, 12710, 279, 7, 765, 1511, 14108, 7, 10623, 7, 1232, 51, 245, 7, 24285, 7, 13139, 316, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
94,125
30125
[ 5493, 305, 10421, 20, 9866, 1057, 627, 12, 1223, 7947, 7341, 5838, 205, 30746, 5, 2561, 30, 26021, 11, 44, 5216, 3690, 12, 2900, 7488, 836, 936, 11, 44, 449, 12544, 12, 18758, 757, 5, 1107, 7385, 5, 502, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 8738, 1541, 91, 12, 30393, 507, 5, 6979, 15, 98, 15958, 7, 205, 30746, 5, 2561, 11, 44, 2127, 5003, 12, 11283, 7385, 5, 1098, 5, 3713, 11, 44, 10536, 28566, 12, 22765, 15518, 1939, 5, 1963, 12, 205, 30746, 5, 2715, 11, 11, 44, 351, 10721, 2365, 12, 2768, 910, 608, 11, 44, 351, 10721, 1827, 12, 2768, 8, 308, 910, 608, 277, 1479, 8, 240, 11, 44, 430, 20215, 12, 3302, 308, 630, 429, 481, 11, 44, 430, 25972, 12, 3664, 4370, 277, 535, 240, 11, 44, 17446, 2646, 777, 12, 11075, 21699, 7, 15284, 349, 11, 44, 8030, 2646, 1520, 12, 3302, 910, 563, 11, 44, 351, 24043, 12, 5921, 9714, 11, 27730, 305, 10421, 20, 4419, 36321, 313, 2435, 6278, 3190, 12693, 6567, 18001, 20, 18726, 1717, 7923, 16312, 8801, 30, 4126, 13, 6, 1832, 16, 420, 5, 6, 277, 20, 2074, 1015, 20337, 854, 176, 2268, 353, 7, 314, 7, 28877, 25588, 30, 20585, 16712, 4, 2074, 1586, 30, 8881, 7167, 30, 20501, 4, 2074, 2875, 11980, 31, 5927, 8, 2251, 11024, 10, 5155, 30, 16312, 3132, 4, 2074, 1015, 20337, 31, 14192, 28884, 244, 13, 2947, 5927, 7, 4929, 30, 98, 3091, 4, 2074, 31842, 5, 10601, 1022, 2896, 5700, 7, 878, 21435, 10196, 30, 12607, 613, 39176, 30, 871, 19788, 154, 5300, 4, 2074, 1015, 20337, 4120, 136, 30, 4663, 26, 3625, 1189, 154, 11980, 36026, 114, 30, 47, 14, 2354, 1742, 4, 2074, 1015, 218, 611, 7, 30, 6, 12741, 5, 16312, 1654, 1466, 7349, 4, 2074, 1015, 218, 353, 21, 41, 2165, 192, 208, 9, 198, 866, 30, 41, 35099, 192, 334, 866, 4, 305, 93, 30, 4126, 2530, 598, 16312, 353, 21, 14192, 3961, 30, 21, 3464, 1687, 30, 6090, 13, 16312, 2268, 30, 2135, 4, 2074, 1015, 20337, 47, 32758, 20309, 4898, 7, 30, 14, 2723, 368, 48, 1266, 1641, 12, 526, 11, 729, 30, 1342, 12, 103, 11, 729, 4, 2074, 16023, 2105, 410, 10, 16312, 367, 7, 30, 420, 176, 367, 22, 3506, 11980, 4, 4, 2074, 6376, 3715, 93, 176, 2523, 4307, 27, 7261, 4, 2074, 10964, 41, 5618, 30, 10820, 2614, 8648, 247, 2602, 420, 22843, 353, 1817, 4, 1015, 20337, 63, 47, 10906, 154, 2602, 22843, 353, 3132, 12, 32135, 7, 12710, 1212, 1346, 7, 11541, 27920, 7, 3537, 37370, 7, 613, 6772, 17522, 636, 7, 6115, 4, 11, 44, 11980, 282, 4192, 2914, 5155, 7, 11980, 63, 2956, 8712, 14053, 3796, 1080, 7, 8, 282, 19501, 4452, 22, 31, 75, 10, 2057, 4, 2074, 15906, 8402, 13, 165, 79, 886, 2074, 4227, 11585, 16312, 5779, 16, 1622, 5, 234, 12, 20743, 7, 3865, 11, 4, 2074, 15906, 8402, 15, 15677, 177, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 9866, 1057, 627, 12, 1223, 7947, 7341, 5838, 205, 30746, 5, 2561, 30, 26021, 11, 44, 5216, 3690, 12, 2900, 7488, 836, 936, 11, 44, 449, 12544, 12, 18758, 757, 5, 1107, 7385, 5, 502, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 8738, 1541, 91, 12, 30393, 507, 5, 6979, 15, 98, 15958, 7, 205, 30746, 5, 2561, 11, 44, 2127, 5003, 12, 11283, 7385, 5, 1098, 5, 3713, 11, 44, 10536, 28566, 12, 22765, 15518, 1939, 5, 1963, 12, 205, 30746, 5, 2715, 11, 11, 44, 351, 10721, 2365, 12, 2768, 910, 608, 11, 44, 351, 10721, 1827, 12, 2768, 8, 308, 910, 608, 277, 1479, 8, 240, 11, 44, 430, 20215, 12, 3302, 308, 630, 429, 481, 11, 44, 430, 25972, 12, 3664, 4370, 277, 535, 240, 11, 44, 17446, 2646, 777, 12, 11075, 21699, 7, 15284, 349, 11, 44, 8030, 2646, 1520, 12, 3302, 910, 563, 11, 44, 351, 24043, 12, 5921, 9714, 11, 27730, 305, 10421, 20, 4419, 36321, 313, 2435, 6278, 3190, 12693, 6567, 18001, 20, 18726, 1717, 7923, 16312, 8801, 30, 4126, 13, 6, 1832, 16, 420, 5, 6, 277, 20, 2074, 1015, 20337, 854, 176, 2268, 353, 7, 314, 7, 28877, 25588, 30, 20585, 16712, 4, 2074, 1586, 30, 8881, 7167, 30, 20501, 4, 2074, 2875, 11980, 31, 5927, 8, 2251, 11024, 10, 5155, 30, 16312, 3132, 4, 2074, 1015, 20337, 31, 14192, 28884, 244, 13, 2947, 5927, 7, 4929, 30, 98, 3091, 4, 2074, 31842, 5, 10601, 1022, 2896, 5700, 7, 878, 21435, 10196, 30, 12607, 613, 39176, 30, 871, 19788, 154, 5300, 4, 2074, 1015, 20337, 4120, 136, 30, 4663, 26, 3625, 1189, 154, 11980, 36026, 114, 30, 47, 14, 2354, 1742, 4, 2074, 1015, 218, 611, 7, 30, 6, 12741, 5, 16312, 1654, 1466, 7349, 4, 2074, 1015, 218, 353, 21, 41, 2165, 192, 208, 9, 198, 866, 30, 41, 35099, 192, 334, 866, 4, 305, 93, 30, 4126, 2530, 598, 16312, 353, 21, 14192, 3961, 30, 21, 3464, 1687, 30, 6090, 13, 16312, 2268, 30, 2135, 4, 2074, 1015, 20337, 47, 32758, 20309, 4898, 7, 30, 14, 2723, 368, 48, 1266, 1641, 12, 526, 11, 729, 30, 1342, 12, 103, 11, 729, 4, 2074, 16023, 2105, 410, 10, 16312, 367, 7, 30, 420, 176, 367, 22, 3506, 11980, 4, 4, 2074, 6376, 3715, 93, 176, 2523, 4307, 27, 7261, 4, 2074, 10964, 41, 5618, 30, 10820, 2614, 8648, 247, 2602, 420, 22843, 353, 1817, 4, 1015, 20337, 63, 47, 10906, 154, 2602, 22843, 353, 3132, 12, 32135, 7, 12710, 1212, 1346, 7, 11541, 27920, 7, 3537, 37370, 7, 613, 6772, 17522, 636, 7, 6115, 4, 11, 44, 11980, 282, 4192, 2914, 5155, 7, 11980, 63, 2956, 8712, 14053, 3796, 1080, 7, 8, 282, 19501, 4452, 22, 31, 75, 10, 2057, 4, 2074, 15906, 8402, 13, 165, 79, 886, 2074, 4227, 11585, 16312, 5779, 16, 1622, 5, 234, 12, 20743, 7, 3865, 11, 4, 2074, 15906, 8402, 15, 15677, 177, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
94,125
30125
[ 5493, 305, 10421, 20, 9866, 1057, 627, 12, 1223, 7947, 7341, 5838, 205, 30746, 5, 2561, 30, 26021, 11, 44, 5216, 3690, 12, 2900, 7488, 836, 936, 11, 44, 449, 12544, 12, 18758, 757, 5, 1107, 7385, 5, 502, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 8738, 1541, 91, 12, 30393, 507, 5, 6979, 15, 98, 15958, 7, 205, 30746, 5, 2561, 11, 44, 2127, 5003, 12, 11283, 7385, 5, 1098, 5, 3713, 11, 44, 10536, 28566, 12, 22765, 15518, 1939, 5, 1963, 12, 205, 30746, 5, 2715, 11, 11, 44, 351, 10721, 2365, 12, 2768, 910, 608, 11, 44, 351, 10721, 1827, 12, 2768, 8, 308, 910, 608, 277, 1479, 8, 240, 11, 44, 430, 20215, 12, 3302, 308, 630, 429, 481, 11, 44, 430, 25972, 12, 3664, 4370, 277, 535, 240, 11, 44, 17446, 2646, 777, 12, 11075, 21699, 7, 15284, 349, 11, 44, 8030, 2646, 1520, 12, 3302, 910, 563, 11, 44, 351, 24043, 12, 5921, 9714, 11, 27730, 305, 10421, 20, 4419, 4079, 1015, 2807, 15592, 10452, 3332, 20, 482, 6743, 26, 482, 6743, 1841, 2001, 26, 1648, 656, 2465, 24, 25, 6470, 259, 9941, 297, 24, 871, 941, 17277, 8742, 9, 13569, 273, 1598, 20, 7153, 7, 15794, 4703, 17772, 20, 16755, 14644, 7, 299, 6820, 4596, 20, 2749, 7, 102, 27610, 5083, 15254, 20, 3493, 18519, 5894, 6491, 34, 7, 9223, 6494, 5674, 636, 20, 2095, 7, 7606, 5699, 7, 30256, 10, 2018, 38337, 20, 3987, 4, 3237, 7, 40, 51, 6189, 1599, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 9866, 1057, 627, 12, 1223, 7947, 7341, 5838, 205, 30746, 5, 2561, 30, 26021, 11, 44, 5216, 3690, 12, 2900, 7488, 836, 936, 11, 44, 449, 12544, 12, 18758, 757, 5, 1107, 7385, 5, 502, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 8738, 1541, 91, 12, 30393, 507, 5, 6979, 15, 98, 15958, 7, 205, 30746, 5, 2561, 11, 44, 2127, 5003, 12, 11283, 7385, 5, 1098, 5, 3713, 11, 44, 10536, 28566, 12, 22765, 15518, 1939, 5, 1963, 12, 205, 30746, 5, 2715, 11, 11, 44, 351, 10721, 2365, 12, 2768, 910, 608, 11, 44, 351, 10721, 1827, 12, 2768, 8, 308, 910, 608, 277, 1479, 8, 240, 11, 44, 430, 20215, 12, 3302, 308, 630, 429, 481, 11, 44, 430, 25972, 12, 3664, 4370, 277, 535, 240, 11, 44, 17446, 2646, 777, 12, 11075, 21699, 7, 15284, 349, 11, 44, 8030, 2646, 1520, 12, 3302, 910, 563, 11, 44, 351, 24043, 12, 5921, 9714, 11, 27730, 305, 10421, 20, 4419, 4079, 1015, 2807, 15592, 10452, 3332, 20, 482, 6743, 26, 482, 6743, 1841, 2001, 26, 1648, 656, 2465, 24, 25, 6470, 259, 9941, 297, 24, 871, 941, 17277, 8742, 9, 13569, 273, 1598, 20, 7153, 7, 15794, 4703, 17772, 20, 16755, 14644, 7, 299, 6820, 4596, 20, 2749, 7, 102, 27610, 5083, 15254, 20, 3493, 18519, 5894, 6491, 34, 7, 9223, 6494, 5674, 636, 20, 2095, 7, 7606, 5699, 7, 30256, 10, 2018, 38337, 20, 3987, 4, 3237, 7, 40, 51, 6189, 1599, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
94,125
30125
[ 5493, 305, 10421, 20, 9866, 1057, 627, 12, 1223, 7947, 7341, 5838, 205, 30746, 5, 2561, 30, 26021, 11, 44, 5216, 3690, 12, 2900, 7488, 836, 936, 11, 44, 449, 12544, 12, 18758, 757, 5, 1107, 7385, 5, 502, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 8738, 1541, 91, 12, 30393, 507, 5, 6979, 15, 98, 15958, 7, 205, 30746, 5, 2561, 11, 44, 2127, 5003, 12, 11283, 7385, 5, 1098, 5, 3713, 11, 44, 10536, 28566, 12, 22765, 15518, 1939, 5, 1963, 12, 205, 30746, 5, 2715, 11, 11, 44, 351, 10721, 2365, 12, 2768, 910, 608, 11, 44, 351, 10721, 1827, 12, 2768, 8, 308, 910, 608, 277, 1479, 8, 240, 11, 44, 430, 20215, 12, 3302, 308, 630, 429, 481, 11, 44, 430, 25972, 12, 3664, 4370, 277, 535, 240, 11, 44, 17446, 2646, 777, 12, 11075, 21699, 7, 15284, 349, 11, 44, 8030, 2646, 1520, 12, 3302, 910, 563, 11, 44, 351, 24043, 12, 5921, 9714, 11, 27730, 305, 10421, 20, 4419, 2550, 453, 4395, 17081, 2817, 388, 30521, 20, 11203, 12101, 8945, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 9866, 1057, 627, 12, 1223, 7947, 7341, 5838, 205, 30746, 5, 2561, 30, 26021, 11, 44, 5216, 3690, 12, 2900, 7488, 836, 936, 11, 44, 449, 12544, 12, 18758, 757, 5, 1107, 7385, 5, 502, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 8738, 1541, 91, 12, 30393, 507, 5, 6979, 15, 98, 15958, 7, 205, 30746, 5, 2561, 11, 44, 2127, 5003, 12, 11283, 7385, 5, 1098, 5, 3713, 11, 44, 10536, 28566, 12, 22765, 15518, 1939, 5, 1963, 12, 205, 30746, 5, 2715, 11, 11, 44, 351, 10721, 2365, 12, 2768, 910, 608, 11, 44, 351, 10721, 1827, 12, 2768, 8, 308, 910, 608, 277, 1479, 8, 240, 11, 44, 430, 20215, 12, 3302, 308, 630, 429, 481, 11, 44, 430, 25972, 12, 3664, 4370, 277, 535, 240, 11, 44, 17446, 2646, 777, 12, 11075, 21699, 7, 15284, 349, 11, 44, 8030, 2646, 1520, 12, 3302, 910, 563, 11, 44, 351, 24043, 12, 5921, 9714, 11, 27730, 305, 10421, 20, 4419, 2550, 453, 4395, 17081, 2817, 388, 30521, 20, 11203, 12101, 8945, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
94,125
30125
[ 5493, 305, 10421, 20, 9866, 1057, 627, 12, 1223, 7947, 7341, 5838, 205, 30746, 5, 2561, 30, 26021, 11, 44, 5216, 3690, 12, 2900, 7488, 836, 936, 11, 44, 449, 12544, 12, 18758, 757, 5, 1107, 7385, 5, 502, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 8738, 1541, 91, 12, 30393, 507, 5, 6979, 15, 98, 15958, 7, 205, 30746, 5, 2561, 11, 44, 2127, 5003, 12, 11283, 7385, 5, 1098, 5, 3713, 11, 44, 10536, 28566, 12, 22765, 15518, 1939, 5, 1963, 12, 205, 30746, 5, 2715, 11, 11, 44, 351, 10721, 2365, 12, 2768, 910, 608, 11, 44, 351, 10721, 1827, 12, 2768, 8, 308, 910, 608, 277, 1479, 8, 240, 11, 44, 430, 20215, 12, 3302, 308, 630, 429, 481, 11, 44, 430, 25972, 12, 3664, 4370, 277, 535, 240, 11, 44, 17446, 2646, 777, 12, 11075, 21699, 7, 15284, 349, 11, 44, 8030, 2646, 1520, 12, 3302, 910, 563, 11, 44, 351, 24043, 12, 5921, 9714, 11, 27730, 305, 10421, 20, 4419, 5641, 2047, 4024, 1341, 2568, 11415, 3768, 4476, 453, 7219, 5265, 1961, 20, 56, 21, 14, 2207, 206, 421, 649, 15, 1414, 1098, 459, 7, 46, 21, 2198, 220, 17848, 4, 5651, 9404, 838, 13, 6, 2333, 7993, 50, 1092, 724, 19594, 135, 2074, 2074, 3247, 299, 10357, 85, 12, 299, 10357, 37308, 36, 11, 2074, 2074, 139, 135, 2074, 2074, 30760, 299, 11142, 12, 299, 10357, 37308, 36, 11, 2074, 2074, 139, 29, 218, 6538, 64, 3994, 1066, 15905, 262, 4, 31289, 14812, 7, 5210, 17, 14192, 14, 15095, 16, 24160, 21872, 4, 5651, 17, 2901, 5550, 4, 18, 15095, 1183, 5601, 13, 1042, 5, 14, 459, 10, 6, 1098, 5, 6, 3713, 4, 5651, 57, 67, 102, 375, 435, 8, 102, 5708, 21092, 35964, 4, 5651, 57, 102, 248, 5, 599, 4, 5651, 67, 32, 1530, 9, 2886, 1306, 178, 23, 2443, 1530, 467, 8, 35, 57, 380, 42, 13765, 16, 2700, 4, 13093, 129, 4918, 930, 5, 1062, 57, 58, 6, 2443, 1530, 178, 25, 6, 135, 2074, 2074, 657, 12996, 9, 215, 9, 85, 2074, 2074, 139, 8, 35, 111, 1306, 3352, 2700, 4, 5651, 57, 41, 58, 36959, 4004, 815, 8, 5210, 57, 41, 524, 9336, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 9866, 1057, 627, 12, 1223, 7947, 7341, 5838, 205, 30746, 5, 2561, 30, 26021, 11, 44, 5216, 3690, 12, 2900, 7488, 836, 936, 11, 44, 449, 12544, 12, 18758, 757, 5, 1107, 7385, 5, 502, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 8738, 1541, 91, 12, 30393, 507, 5, 6979, 15, 98, 15958, 7, 205, 30746, 5, 2561, 11, 44, 2127, 5003, 12, 11283, 7385, 5, 1098, 5, 3713, 11, 44, 10536, 28566, 12, 22765, 15518, 1939, 5, 1963, 12, 205, 30746, 5, 2715, 11, 11, 44, 351, 10721, 2365, 12, 2768, 910, 608, 11, 44, 351, 10721, 1827, 12, 2768, 8, 308, 910, 608, 277, 1479, 8, 240, 11, 44, 430, 20215, 12, 3302, 308, 630, 429, 481, 11, 44, 430, 25972, 12, 3664, 4370, 277, 535, 240, 11, 44, 17446, 2646, 777, 12, 11075, 21699, 7, 15284, 349, 11, 44, 8030, 2646, 1520, 12, 3302, 910, 563, 11, 44, 351, 24043, 12, 5921, 9714, 11, 27730, 305, 10421, 20, 4419, 5641, 2047, 4024, 1341, 2568, 11415, 3768, 4476, 453, 7219, 5265, 1961, 20, 56, 21, 14, 2207, 206, 421, 649, 15, 1414, 1098, 459, 7, 46, 21, 2198, 220, 17848, 4, 5651, 9404, 838, 13, 6, 2333, 7993, 50, 1092, 724, 19594, 135, 2074, 2074, 3247, 299, 10357, 85, 12, 299, 10357, 37308, 36, 11, 2074, 2074, 139, 135, 2074, 2074, 30760, 299, 11142, 12, 299, 10357, 37308, 36, 11, 2074, 2074, 139, 29, 218, 6538, 64, 3994, 1066, 15905, 262, 4, 31289, 14812, 7, 5210, 17, 14192, 14, 15095, 16, 24160, 21872, 4, 5651, 17, 2901, 5550, 4, 18, 15095, 1183, 5601, 13, 1042, 5, 14, 459, 10, 6, 1098, 5, 6, 3713, 4, 5651, 57, 67, 102, 375, 435, 8, 102, 5708, 21092, 35964, 4, 5651, 57, 102, 248, 5, 599, 4, 5651, 67, 32, 1530, 9, 2886, 1306, 178, 23, 2443, 1530, 467, 8, 35, 57, 380, 42, 13765, 16, 2700, 4, 13093, 129, 4918, 930, 5, 1062, 57, 58, 6, 2443, 1530, 178, 25, 6, 135, 2074, 2074, 657, 12996, 9, 215, 9, 85, 2074, 2074, 139, 8, 35, 111, 1306, 3352, 2700, 4, 5651, 57, 41, 58, 36959, 4004, 815, 8, 5210, 57, 41, 524, 9336, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
94,125
30125
[ 5493, 305, 10421, 20, 9866, 1057, 627, 12, 1223, 7947, 7341, 5838, 205, 30746, 5, 2561, 30, 26021, 11, 44, 5216, 3690, 12, 2900, 7488, 836, 936, 11, 44, 449, 12544, 12, 18758, 757, 5, 1107, 7385, 5, 502, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 8738, 1541, 91, 12, 30393, 507, 5, 6979, 15, 98, 15958, 7, 205, 30746, 5, 2561, 11, 44, 2127, 5003, 12, 11283, 7385, 5, 1098, 5, 3713, 11, 44, 10536, 28566, 12, 22765, 15518, 1939, 5, 1963, 12, 205, 30746, 5, 2715, 11, 11, 44, 351, 10721, 2365, 12, 2768, 910, 608, 11, 44, 351, 10721, 1827, 12, 2768, 8, 308, 910, 608, 277, 1479, 8, 240, 11, 44, 430, 20215, 12, 3302, 308, 630, 429, 481, 11, 44, 430, 25972, 12, 3664, 4370, 277, 535, 240, 11, 44, 17446, 2646, 777, 12, 11075, 21699, 7, 15284, 349, 11, 44, 8030, 2646, 1520, 12, 3302, 910, 563, 11, 44, 351, 24043, 12, 5921, 9714, 11, 27730, 305, 10421, 20, 4419, 25060, 425, 757, 20, 3569, 354, 20, 24029, 7, 696, 856, 7, 4562, 1514, 7965, 7, 502, 7377, 135, 2074, 2074, 657, 12303, 2074, 2074, 139, 279, 26, 110, 213, 5106, 7, 23976, 7, 5388, 457, 3991, 7, 13893, 7, 8397, 7, 4581, 279, 26, 110, 1297, 18049, 7, 1984, 7, 33251, 501, 2048, 527, 321, 4444, 20, 213, 5106, 7, 35587, 3571, 527, 7, 17331, 15151, 29099, 2729, 7828, 5092, 1614, 169, 8, 1361, 7, 1297, 18049, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 9866, 1057, 627, 12, 1223, 7947, 7341, 5838, 205, 30746, 5, 2561, 30, 26021, 11, 44, 5216, 3690, 12, 2900, 7488, 836, 936, 11, 44, 449, 12544, 12, 18758, 757, 5, 1107, 7385, 5, 502, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 8738, 1541, 91, 12, 30393, 507, 5, 6979, 15, 98, 15958, 7, 205, 30746, 5, 2561, 11, 44, 2127, 5003, 12, 11283, 7385, 5, 1098, 5, 3713, 11, 44, 10536, 28566, 12, 22765, 15518, 1939, 5, 1963, 12, 205, 30746, 5, 2715, 11, 11, 44, 351, 10721, 2365, 12, 2768, 910, 608, 11, 44, 351, 10721, 1827, 12, 2768, 8, 308, 910, 608, 277, 1479, 8, 240, 11, 44, 430, 20215, 12, 3302, 308, 630, 429, 481, 11, 44, 430, 25972, 12, 3664, 4370, 277, 535, 240, 11, 44, 17446, 2646, 777, 12, 11075, 21699, 7, 15284, 349, 11, 44, 8030, 2646, 1520, 12, 3302, 910, 563, 11, 44, 351, 24043, 12, 5921, 9714, 11, 27730, 305, 10421, 20, 4419, 25060, 425, 757, 20, 3569, 354, 20, 24029, 7, 696, 856, 7, 4562, 1514, 7965, 7, 502, 7377, 135, 2074, 2074, 657, 12303, 2074, 2074, 139, 279, 26, 110, 213, 5106, 7, 23976, 7, 5388, 457, 3991, 7, 13893, 7, 8397, 7, 4581, 279, 26, 110, 1297, 18049, 7, 1984, 7, 33251, 501, 2048, 527, 321, 4444, 20, 213, 5106, 7, 35587, 3571, 527, 7, 17331, 15151, 29099, 2729, 7828, 5092, 1614, 169, 8, 1361, 7, 1297, 18049, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
94,125
30125
[ 5493, 305, 10421, 20, 9866, 1057, 627, 12, 1223, 7947, 7341, 5838, 205, 30746, 5, 2561, 30, 26021, 11, 44, 5216, 3690, 12, 2900, 7488, 836, 936, 11, 44, 449, 12544, 12, 18758, 757, 5, 1107, 7385, 5, 502, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 8738, 1541, 91, 12, 30393, 507, 5, 6979, 15, 98, 15958, 7, 205, 30746, 5, 2561, 11, 44, 2127, 5003, 12, 11283, 7385, 5, 1098, 5, 3713, 11, 44, 10536, 28566, 12, 22765, 15518, 1939, 5, 1963, 12, 205, 30746, 5, 2715, 11, 11, 44, 351, 10721, 2365, 12, 2768, 910, 608, 11, 44, 351, 10721, 1827, 12, 2768, 8, 308, 910, 608, 277, 1479, 8, 240, 11, 44, 430, 20215, 12, 3302, 308, 630, 429, 481, 11, 44, 430, 25972, 12, 3664, 4370, 277, 535, 240, 11, 44, 17446, 2646, 777, 12, 11075, 21699, 7, 15284, 349, 11, 44, 8030, 2646, 1520, 12, 3302, 910, 563, 11, 44, 351, 24043, 12, 5921, 9714, 11, 27730, 305, 10421, 20, 4419, 4009, 3650, 3907, 5641, 2047, 4024, 1341, 20, 1719, 1548, 1222, 32359, 783, 237, 21901, 838, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 9866, 1057, 627, 12, 1223, 7947, 7341, 5838, 205, 30746, 5, 2561, 30, 26021, 11, 44, 5216, 3690, 12, 2900, 7488, 836, 936, 11, 44, 449, 12544, 12, 18758, 757, 5, 1107, 7385, 5, 502, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 8738, 1541, 91, 12, 30393, 507, 5, 6979, 15, 98, 15958, 7, 205, 30746, 5, 2561, 11, 44, 2127, 5003, 12, 11283, 7385, 5, 1098, 5, 3713, 11, 44, 10536, 28566, 12, 22765, 15518, 1939, 5, 1963, 12, 205, 30746, 5, 2715, 11, 11, 44, 351, 10721, 2365, 12, 2768, 910, 608, 11, 44, 351, 10721, 1827, 12, 2768, 8, 308, 910, 608, 277, 1479, 8, 240, 11, 44, 430, 20215, 12, 3302, 308, 630, 429, 481, 11, 44, 430, 25972, 12, 3664, 4370, 277, 535, 240, 11, 44, 17446, 2646, 777, 12, 11075, 21699, 7, 15284, 349, 11, 44, 8030, 2646, 1520, 12, 3302, 910, 563, 11, 44, 351, 24043, 12, 5921, 9714, 11, 27730, 305, 10421, 20, 4419, 4009, 3650, 3907, 5641, 2047, 4024, 1341, 20, 1719, 1548, 1222, 32359, 783, 237, 21901, 838, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
91,563
42184
[ 5493, 305, 10421, 20, 11507, 5616, 12, 3160, 889, 76, 7, 446, 7488, 11, 44, 5216, 1541, 2529, 12, 33713, 429, 8, 308, 889, 76, 7, 446, 7488, 7, 15, 429, 608, 8, 15, 308, 889, 76, 469, 174, 199, 469, 1224, 7, 30, 446, 7488, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 3972, 5827, 12, 273, 387, 7, 446, 7488, 11, 44, 11711, 2646, 2401, 12, 3302, 7488, 535, 4252, 16874, 27021, 11, 44, 3977, 5616, 12, 25843, 7, 446, 7488, 11, 44, 11469, 10006, 12, 18303, 4532, 11, 44, 11711, 4830, 12, 388, 2175, 37347, 1782, 7, 767, 11, 44, 11711, 2646, 1059, 12, 12311, 21724, 11, 44, 430, 5843, 1800, 12, 2768, 989, 1596, 5, 98, 1307, 1214, 7, 682, 5288, 5, 177, 11, 44, 482, 14774, 8015, 12, 2499, 5287, 8332, 5, 1349, 2287, 11, 44, 17446, 2805, 12, 261, 4027, 38062, 8, 883, 1528, 683, 11646, 11, 44, 430, 13965, 1179, 12, 2768, 25, 308, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 27730, 305, 10421, 20, 4419, 28897, 3031, 1001, 20, 18900, 3282, 13580, 16711, 20, 37158, 2942, 20823, 28624, 701, 6530, 36104, 81, 135, 2074, 2074, 32820, 12, 12718, 11, 4692, 334, 2074, 2074, 139, 12, 13752, 803, 941, 33174, 135, 2074, 2074, 32820, 12, 12718, 11, 14235, 2365, 2074, 2074, 139, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 11507, 5616, 12, 3160, 889, 76, 7, 446, 7488, 11, 44, 5216, 1541, 2529, 12, 33713, 429, 8, 308, 889, 76, 7, 446, 7488, 7, 15, 429, 608, 8, 15, 308, 889, 76, 469, 174, 199, 469, 1224, 7, 30, 446, 7488, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 3972, 5827, 12, 273, 387, 7, 446, 7488, 11, 44, 11711, 2646, 2401, 12, 3302, 7488, 535, 4252, 16874, 27021, 11, 44, 3977, 5616, 12, 25843, 7, 446, 7488, 11, 44, 11469, 10006, 12, 18303, 4532, 11, 44, 11711, 4830, 12, 388, 2175, 37347, 1782, 7, 767, 11, 44, 11711, 2646, 1059, 12, 12311, 21724, 11, 44, 430, 5843, 1800, 12, 2768, 989, 1596, 5, 98, 1307, 1214, 7, 682, 5288, 5, 177, 11, 44, 482, 14774, 8015, 12, 2499, 5287, 8332, 5, 1349, 2287, 11, 44, 17446, 2805, 12, 261, 4027, 38062, 8, 883, 1528, 683, 11646, 11, 44, 430, 13965, 1179, 12, 2768, 25, 308, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 27730, 305, 10421, 20, 4419, 28897, 3031, 1001, 20, 18900, 3282, 13580, 16711, 20, 37158, 2942, 20823, 28624, 701, 6530, 36104, 81, 135, 2074, 2074, 32820, 12, 12718, 11, 4692, 334, 2074, 2074, 139, 12, 13752, 803, 941, 33174, 135, 2074, 2074, 32820, 12, 12718, 11, 14235, 2365, 2074, 2074, 139, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
91,563
42184
[ 5493, 305, 10421, 20, 11507, 5616, 12, 3160, 889, 76, 7, 446, 7488, 11, 44, 5216, 1541, 2529, 12, 33713, 429, 8, 308, 889, 76, 7, 446, 7488, 7, 15, 429, 608, 8, 15, 308, 889, 76, 469, 174, 199, 469, 1224, 7, 30, 446, 7488, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 3972, 5827, 12, 273, 387, 7, 446, 7488, 11, 44, 11711, 2646, 2401, 12, 3302, 7488, 535, 4252, 16874, 27021, 11, 44, 3977, 5616, 12, 25843, 7, 446, 7488, 11, 44, 11469, 10006, 12, 18303, 4532, 11, 44, 11711, 4830, 12, 388, 2175, 37347, 1782, 7, 767, 11, 44, 11711, 2646, 1059, 12, 12311, 21724, 11, 44, 430, 5843, 1800, 12, 2768, 989, 1596, 5, 98, 1307, 1214, 7, 682, 5288, 5, 177, 11, 44, 482, 14774, 8015, 12, 2499, 5287, 8332, 5, 1349, 2287, 11, 44, 17446, 2805, 12, 261, 4027, 38062, 8, 883, 1528, 683, 11646, 11, 44, 430, 13965, 1179, 12, 2768, 25, 308, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 27730, 305, 10421, 20, 4419, 14257, 1794, 30328, 20, 3264, 3768, 4013, 19191, 558, 2817, 5965, 56, 21, 14, 135, 2074, 2074, 4135, 222, 791, 2074, 2074, 139, 873, 26, 399, 649, 15, 3569, 313, 543, 5, 24029, 7, 5136, 7, 18537, 757, 5, 12872, 8, 8713, 7, 72, 15, 5027, 149, 471, 13, 135, 2074, 2074, 18820, 846, 54, 2074, 2074, 139, 503, 15, 1579, 12969, 95, 13, 33, 10, 10616, 931, 429, 1782, 26, 388, 21724, 15, 248, 5, 1307, 11962, 4, 5651, 17, 4721, 1565, 16, 3928, 5, 8737, 3051, 4, 2008, 10264, 316, 7337, 4706, 2940, 11084, 388, 7306, 787, 15, 964, 33480, 8267, 26, 767, 429, 1782, 20, 34049, 4787, 8, 5658, 7, 35, 67, 30494, 10, 6, 1694, 8, 22392, 67, 41, 58, 2562, 4, 4281, 163, 628, 663, 1448, 11962, 22, 181, 33, 4246, 13, 12872, 365, 293, 25, 308, 370, 4, 2974, 7987, 613, 39176, 154, 4030, 15, 614, 162, 4, 701, 35, 877, 10, 94, 114, 17, 13721, 13, 41, 2018, 14, 8737, 4, 11084, 17782, 23763, 11962, 20, 21217, 110, 1139, 17, 1641, 34, 6, 3780, 503, 4, 5651, 17, 183, 15, 3270, 16, 40, 217, 27, 6382, 53, 4, 5651, 17, 72, 690, 5062, 8, 2234, 13583, 543, 4, 13093, 243, 6304, 27413, 5488, 571, 5, 2108, 429, 134, 4, 5651, 17, 41, 7990, 13, 7500, 259, 11564, 571, 114, 17, 4531, 35, 17, 14, 1448, 3208, 4, 943, 135, 2074, 2074, 208, 9, 414, 2074, 2074, 139, 3109, 7516, 5081, 17, 1678, 13, 85, 8, 5230, 110, 1678, 13, 941, 1059, 4, 11084, 12801, 2287, 7476, 20, 37788, 2654, 169, 9404, 1824, 15, 14, 702, 2287, 7476, 4, 5651, 214, 41, 6279, 597, 5210, 19644, 35, 2815, 114, 21, 416, 114, 17, 132, 13, 154, 5210, 6481, 356, 8762, 10, 4, 1078, 503, 2478, 6, 7476, 19644, 1288, 8, 60, 22864, 647, 8, 1199, 240, 16, 66, 3240, 4, 1371, 181, 2303, 32, 9832, 2358, 25, 10361, 13883, 8, 1728, 6, 125, 33, 2752, 8, 223, 17, 102, 658, 13, 826, 420, 240, 34, 35, 94, 4, 52, 214, 345, 450, 46, 111, 14, 8827, 612, 3338, 15, 102, 1818, 10, 420, 5, 6, 6372, 10, 3109, 2287, 4, 52, 3217, 3109, 22312, 8, 765, 1511, 14108, 16, 353, 247, 5210, 17, 446, 15794, 4, 11084, 7124, 37214, 20, 943, 135, 2074, 2074, 208, 9, 219, 2074, 2074, 139, 125, 4124, 12607, 16125, 4, 5651, 532, 14, 15943, 423, 6, 3069, 21, 26131, 9646, 4, 5651, 13658, 114, 17, 3961, 154, 16167, 3109, 1098, 4, 52, 7987, 35, 17, 338, 3366, 8474, 12444, 121, 365, 1883, 1001, 3238, 1432, 7413, 365, 14, 304, 990, 1416, 6, 7022, 4, 52, 4124, 3109, 25, 16656, 30110, 1262, 25, 262, 5, 1953, 8, 7261, 14, 2095, 23812, 13, 1394, 1671, 3006, 4, 11084, 24029, 20, 13093, 5553, 1952, 19, 10, 6, 2143, 36597, 9, 2103, 36597, 4, 52, 9144, 3109, 1824, 696, 704, 20226, 8, 4124, 22820, 4, 5651, 17, 72, 25, 12165, 46, 17, 2620, 13, 3109, 1824, 13461, 21212, 13927, 34, 1953, 4, 13093, 2336, 7496, 2882, 5017, 4, 2550, 269, 5222, 3420, 7337, 4706, 2940, 4, 11084, 7054, 2026, 11480, 581, 37940, 20, 4979, 31686, 4, 52, 2947, 1824, 6742, 26584, 28205, 11084, 313, 4424, 20, 988, 52, 2947, 1824, 15931, 11084, 14581, 26, 17413, 11269, 5838, 185, 321, 3191, 24391, 466, 194, 886, 11084, 5136, 185, 11393, 19285, 219, 194, 886, 2739, 3413, 2807, 30341, 3907, 7337, 4706, 2940, 11084, 3238, 1432, 7413, 20, 15782, 1787, 169, 282, 389, 160, 15, 9760, 11084, 135, 2074, 2074, 299, 10357, 91, 12, 299, 10357, 2882, 11, 2074, 2074, 139, 7476, 111, 33, 537, 160, 15, 647, 240, 598, 844, 41, 9314, 4, 11084, 936, 20, 60, 4124, 22820, 70, 38158, 12658, 2478, 8, 9669, 3109, 1824, 35159, 4, 13093, 5553, 1952, 19, 10, 6, 5017, 121, 4, 11084, 3978, 30074, 20612, 15, 429, 1782, 20, 282, 33, 537, 160, 15, 3623, 6439, 6364, 10, 1065, 5, 598, 125, 374, 658, 14, 8737, 10, 6, 894, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 11507, 5616, 12, 3160, 889, 76, 7, 446, 7488, 11, 44, 5216, 1541, 2529, 12, 33713, 429, 8, 308, 889, 76, 7, 446, 7488, 7, 15, 429, 608, 8, 15, 308, 889, 76, 469, 174, 199, 469, 1224, 7, 30, 446, 7488, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 3972, 5827, 12, 273, 387, 7, 446, 7488, 11, 44, 11711, 2646, 2401, 12, 3302, 7488, 535, 4252, 16874, 27021, 11, 44, 3977, 5616, 12, 25843, 7, 446, 7488, 11, 44, 11469, 10006, 12, 18303, 4532, 11, 44, 11711, 4830, 12, 388, 2175, 37347, 1782, 7, 767, 11, 44, 11711, 2646, 1059, 12, 12311, 21724, 11, 44, 430, 5843, 1800, 12, 2768, 989, 1596, 5, 98, 1307, 1214, 7, 682, 5288, 5, 177, 11, 44, 482, 14774, 8015, 12, 2499, 5287, 8332, 5, 1349, 2287, 11, 44, 17446, 2805, 12, 261, 4027, 38062, 8, 883, 1528, 683, 11646, 11, 44, 430, 13965, 1179, 12, 2768, 25, 308, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 27730, 305, 10421, 20, 4419, 14257, 1794, 30328, 20, 3264, 3768, 4013, 19191, 558, 2817, 5965, 56, 21, 14, 135, 2074, 2074, 4135, 222, 791, 2074, 2074, 139, 873, 26, 399, 649, 15, 3569, 313, 543, 5, 24029, 7, 5136, 7, 18537, 757, 5, 12872, 8, 8713, 7, 72, 15, 5027, 149, 471, 13, 135, 2074, 2074, 18820, 846, 54, 2074, 2074, 139, 503, 15, 1579, 12969, 95, 13, 33, 10, 10616, 931, 429, 1782, 26, 388, 21724, 15, 248, 5, 1307, 11962, 4, 5651, 17, 4721, 1565, 16, 3928, 5, 8737, 3051, 4, 2008, 10264, 316, 7337, 4706, 2940, 11084, 388, 7306, 787, 15, 964, 33480, 8267, 26, 767, 429, 1782, 20, 34049, 4787, 8, 5658, 7, 35, 67, 30494, 10, 6, 1694, 8, 22392, 67, 41, 58, 2562, 4, 4281, 163, 628, 663, 1448, 11962, 22, 181, 33, 4246, 13, 12872, 365, 293, 25, 308, 370, 4, 2974, 7987, 613, 39176, 154, 4030, 15, 614, 162, 4, 701, 35, 877, 10, 94, 114, 17, 13721, 13, 41, 2018, 14, 8737, 4, 11084, 17782, 23763, 11962, 20, 21217, 110, 1139, 17, 1641, 34, 6, 3780, 503, 4, 5651, 17, 183, 15, 3270, 16, 40, 217, 27, 6382, 53, 4, 5651, 17, 72, 690, 5062, 8, 2234, 13583, 543, 4, 13093, 243, 6304, 27413, 5488, 571, 5, 2108, 429, 134, 4, 5651, 17, 41, 7990, 13, 7500, 259, 11564, 571, 114, 17, 4531, 35, 17, 14, 1448, 3208, 4, 943, 135, 2074, 2074, 208, 9, 414, 2074, 2074, 139, 3109, 7516, 5081, 17, 1678, 13, 85, 8, 5230, 110, 1678, 13, 941, 1059, 4, 11084, 12801, 2287, 7476, 20, 37788, 2654, 169, 9404, 1824, 15, 14, 702, 2287, 7476, 4, 5651, 214, 41, 6279, 597, 5210, 19644, 35, 2815, 114, 21, 416, 114, 17, 132, 13, 154, 5210, 6481, 356, 8762, 10, 4, 1078, 503, 2478, 6, 7476, 19644, 1288, 8, 60, 22864, 647, 8, 1199, 240, 16, 66, 3240, 4, 1371, 181, 2303, 32, 9832, 2358, 25, 10361, 13883, 8, 1728, 6, 125, 33, 2752, 8, 223, 17, 102, 658, 13, 826, 420, 240, 34, 35, 94, 4, 52, 214, 345, 450, 46, 111, 14, 8827, 612, 3338, 15, 102, 1818, 10, 420, 5, 6, 6372, 10, 3109, 2287, 4, 52, 3217, 3109, 22312, 8, 765, 1511, 14108, 16, 353, 247, 5210, 17, 446, 15794, 4, 11084, 7124, 37214, 20, 943, 135, 2074, 2074, 208, 9, 219, 2074, 2074, 139, 125, 4124, 12607, 16125, 4, 5651, 532, 14, 15943, 423, 6, 3069, 21, 26131, 9646, 4, 5651, 13658, 114, 17, 3961, 154, 16167, 3109, 1098, 4, 52, 7987, 35, 17, 338, 3366, 8474, 12444, 121, 365, 1883, 1001, 3238, 1432, 7413, 365, 14, 304, 990, 1416, 6, 7022, 4, 52, 4124, 3109, 25, 16656, 30110, 1262, 25, 262, 5, 1953, 8, 7261, 14, 2095, 23812, 13, 1394, 1671, 3006, 4, 11084, 24029, 20, 13093, 5553, 1952, 19, 10, 6, 2143, 36597, 9, 2103, 36597, 4, 52, 9144, 3109, 1824, 696, 704, 20226, 8, 4124, 22820, 4, 5651, 17, 72, 25, 12165, 46, 17, 2620, 13, 3109, 1824, 13461, 21212, 13927, 34, 1953, 4, 13093, 2336, 7496, 2882, 5017, 4, 2550, 269, 5222, 3420, 7337, 4706, 2940, 4, 11084, 7054, 2026, 11480, 581, 37940, 20, 4979, 31686, 4, 52, 2947, 1824, 6742, 26584, 28205, 11084, 313, 4424, 20, 988, 52, 2947, 1824, 15931, 11084, 14581, 26, 17413, 11269, 5838, 185, 321, 3191, 24391, 466, 194, 886, 11084, 5136, 185, 11393, 19285, 219, 194, 886, 2739, 3413, 2807, 30341, 3907, 7337, 4706, 2940, 11084, 3238, 1432, 7413, 20, 15782, 1787, 169, 282, 389, 160, 15, 9760, 11084, 135, 2074, 2074, 299, 10357, 91, 12, 299, 10357, 2882, 11, 2074, 2074, 139, 7476, 111, 33, 537, 160, 15, 647, 240, 598, 844, 41, 9314, 4, 11084, 936, 20, 60, 4124, 22820, 70, 38158, 12658, 2478, 8, 9669, 3109, 1824, 35159, 4, 13093, 5553, 1952, 19, 10, 6, 5017, 121, 4, 11084, 3978, 30074, 20612, 15, 429, 1782, 20, 282, 33, 537, 160, 15, 3623, 6439, 6364, 10, 1065, 5, 598, 125, 374, 658, 14, 8737, 10, 6, 894, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
91,563
42184
[ 5493, 305, 10421, 20, 11507, 5616, 12, 3160, 889, 76, 7, 446, 7488, 11, 44, 5216, 1541, 2529, 12, 33713, 429, 8, 308, 889, 76, 7, 446, 7488, 7, 15, 429, 608, 8, 15, 308, 889, 76, 469, 174, 199, 469, 1224, 7, 30, 446, 7488, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 3972, 5827, 12, 273, 387, 7, 446, 7488, 11, 44, 11711, 2646, 2401, 12, 3302, 7488, 535, 4252, 16874, 27021, 11, 44, 3977, 5616, 12, 25843, 7, 446, 7488, 11, 44, 11469, 10006, 12, 18303, 4532, 11, 44, 11711, 4830, 12, 388, 2175, 37347, 1782, 7, 767, 11, 44, 11711, 2646, 1059, 12, 12311, 21724, 11, 44, 430, 5843, 1800, 12, 2768, 989, 1596, 5, 98, 1307, 1214, 7, 682, 5288, 5, 177, 11, 44, 482, 14774, 8015, 12, 2499, 5287, 8332, 5, 1349, 2287, 11, 44, 17446, 2805, 12, 261, 4027, 38062, 8, 883, 1528, 683, 11646, 11, 44, 430, 13965, 1179, 12, 2768, 25, 308, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 27730, 305, 10421, 20, 4419, 7728, 3673, 30, 15031, 27730, 20, 3198, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 11507, 5616, 12, 3160, 889, 76, 7, 446, 7488, 11, 44, 5216, 1541, 2529, 12, 33713, 429, 8, 308, 889, 76, 7, 446, 7488, 7, 15, 429, 608, 8, 15, 308, 889, 76, 469, 174, 199, 469, 1224, 7, 30, 446, 7488, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 3972, 5827, 12, 273, 387, 7, 446, 7488, 11, 44, 11711, 2646, 2401, 12, 3302, 7488, 535, 4252, 16874, 27021, 11, 44, 3977, 5616, 12, 25843, 7, 446, 7488, 11, 44, 11469, 10006, 12, 18303, 4532, 11, 44, 11711, 4830, 12, 388, 2175, 37347, 1782, 7, 767, 11, 44, 11711, 2646, 1059, 12, 12311, 21724, 11, 44, 430, 5843, 1800, 12, 2768, 989, 1596, 5, 98, 1307, 1214, 7, 682, 5288, 5, 177, 11, 44, 482, 14774, 8015, 12, 2499, 5287, 8332, 5, 1349, 2287, 11, 44, 17446, 2805, 12, 261, 4027, 38062, 8, 883, 1528, 683, 11646, 11, 44, 430, 13965, 1179, 12, 2768, 25, 308, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 27730, 305, 10421, 20, 4419, 7728, 3673, 30, 15031, 27730, 20, 3198, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
91,563
42184
[ 5493, 305, 10421, 20, 11507, 5616, 12, 3160, 889, 76, 7, 446, 7488, 11, 44, 5216, 1541, 2529, 12, 33713, 429, 8, 308, 889, 76, 7, 446, 7488, 7, 15, 429, 608, 8, 15, 308, 889, 76, 469, 174, 199, 469, 1224, 7, 30, 446, 7488, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 3972, 5827, 12, 273, 387, 7, 446, 7488, 11, 44, 11711, 2646, 2401, 12, 3302, 7488, 535, 4252, 16874, 27021, 11, 44, 3977, 5616, 12, 25843, 7, 446, 7488, 11, 44, 11469, 10006, 12, 18303, 4532, 11, 44, 11711, 4830, 12, 388, 2175, 37347, 1782, 7, 767, 11, 44, 11711, 2646, 1059, 12, 12311, 21724, 11, 44, 430, 5843, 1800, 12, 2768, 989, 1596, 5, 98, 1307, 1214, 7, 682, 5288, 5, 177, 11, 44, 482, 14774, 8015, 12, 2499, 5287, 8332, 5, 1349, 2287, 11, 44, 17446, 2805, 12, 261, 4027, 38062, 8, 883, 1528, 683, 11646, 11, 44, 430, 13965, 1179, 12, 2768, 25, 308, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 27730, 305, 10421, 20, 4419, 28897, 20350, 4036, 20, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 11507, 5616, 12, 3160, 889, 76, 7, 446, 7488, 11, 44, 5216, 1541, 2529, 12, 33713, 429, 8, 308, 889, 76, 7, 446, 7488, 7, 15, 429, 608, 8, 15, 308, 889, 76, 469, 174, 199, 469, 1224, 7, 30, 446, 7488, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 3972, 5827, 12, 273, 387, 7, 446, 7488, 11, 44, 11711, 2646, 2401, 12, 3302, 7488, 535, 4252, 16874, 27021, 11, 44, 3977, 5616, 12, 25843, 7, 446, 7488, 11, 44, 11469, 10006, 12, 18303, 4532, 11, 44, 11711, 4830, 12, 388, 2175, 37347, 1782, 7, 767, 11, 44, 11711, 2646, 1059, 12, 12311, 21724, 11, 44, 430, 5843, 1800, 12, 2768, 989, 1596, 5, 98, 1307, 1214, 7, 682, 5288, 5, 177, 11, 44, 482, 14774, 8015, 12, 2499, 5287, 8332, 5, 1349, 2287, 11, 44, 17446, 2805, 12, 261, 4027, 38062, 8, 883, 1528, 683, 11646, 11, 44, 430, 13965, 1179, 12, 2768, 25, 308, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 27730, 305, 10421, 20, 4419, 28897, 20350, 4036, 20, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
91,563
42184
[ 5493, 305, 10421, 20, 11507, 5616, 12, 3160, 889, 76, 7, 446, 7488, 11, 44, 5216, 1541, 2529, 12, 33713, 429, 8, 308, 889, 76, 7, 446, 7488, 7, 15, 429, 608, 8, 15, 308, 889, 76, 469, 174, 199, 469, 1224, 7, 30, 446, 7488, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 3972, 5827, 12, 273, 387, 7, 446, 7488, 11, 44, 11711, 2646, 2401, 12, 3302, 7488, 535, 4252, 16874, 27021, 11, 44, 3977, 5616, 12, 25843, 7, 446, 7488, 11, 44, 11469, 10006, 12, 18303, 4532, 11, 44, 11711, 4830, 12, 388, 2175, 37347, 1782, 7, 767, 11, 44, 11711, 2646, 1059, 12, 12311, 21724, 11, 44, 430, 5843, 1800, 12, 2768, 989, 1596, 5, 98, 1307, 1214, 7, 682, 5288, 5, 177, 11, 44, 482, 14774, 8015, 12, 2499, 5287, 8332, 5, 1349, 2287, 11, 44, 17446, 2805, 12, 261, 4027, 38062, 8, 883, 1528, 683, 11646, 11, 44, 430, 13965, 1179, 12, 2768, 25, 308, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 27730, 305, 10421, 20, 4419, 3246, 38086, 605, 20, 402, 20, 2143, 110, 5017, 2457, 1737, 9300, 4289, 8081, 43, 274, 4802, 1083, 3078, 4341, 4920, 20, 9517, 20, 2875, 18286, 7, 887, 9, 359, 7832, 7, 361, 4220, 1907, 2830, 7341, 5372, 4779, 7331, 20, 249, 26, 1020, 12, 20272, 16, 5377, 11, 5753, 20, 10136, 5081, 20, 91, 5490, 174, 20, 5972, 21217, 110, 9, 157, 20, 11891, 4341, 4920, 20, 5753, 12, 30339, 11, 20, 1586, 14222, 28834, 521, 916, 135, 2074, 2074, 657, 12006, 9, 36, 9, 1031, 2074, 2074, 139, 44, 13796, 10830, 114, 12, 28731, 12986, 24, 15942, 11, 449, 7762, 920, 1955, 7666, 19769, 8842, 11847, 12, 6213, 26, 8573, 11, 44, 25895, 17806, 26, 8232, 28297, 13168, 26, 32408, 17000, 393, 1574, 26, 24630, 704, 19591, 790, 157, 20, 16293, 167, 8842, 1719, 3449, 23395, 1215, 704, 19591, 790, 157, 20, 24789, 3978, 24618, 8580, 4129, 1756, 135, 2074, 2074, 657, 14400, 9, 208, 9, 580, 2074, 2074, 139, 704, 19591, 790, 157, 20, 305, 16842, 10099, 361, 8312, 299, 454, 26, 286, 688, 24032, 31650, 2768, 286, 390, 1232, 20, 6952, 4901, 20, 3545, 68, 20, 3575, 2487, 14897, 14545, 8232, 26573, 3523, 20, 13085, 20340, 20, 430, 3582, 16815, 20, 1998, 343, 26746, 20, 185, 37, 6536, 20, 13675, 466, 7, 10616, 931, 6248, 1782, 7, 27430, 827, 7, 668, 1982, 163, 724, 25, 35, 343, 26746, 4, 185, 403, 5437, 81, 26647, 10, 4068, 8229, 806, 10924, 8, 174, 15, 8899, 163, 10, 1111, 82, 8, 1111, 116, 4, 15251, 8267, 5596, 222, 10, 8692, 20, 1737, 20, 1020, 3417, 343, 26746, 4, 4, 3544, 9, 3083, 5515, 28953, 3409, 33953, 31500, 20, 4395, 504, 9, 1206, 24, 7, 175, 2384, 164, 7, 702, 9597, 13801, 7288, 7, 5694, 2316, 7, 102, 2174, 7, 5921, 24029, 143, 15, 7564, 2186, 1630, 135, 2074, 2074, 657, 14400, 9, 208, 9, 479, 2074, 2074, 139, 402, 20, 2143, 3417, 36595, 2660, 2552, 9, 9300, 2074, 715, 2630, 39, 190, 9, 1737, 2074, 21085, 1527, 9, 3078, 2074, 4009, 3409, 20893, 9, 5017, 2818, 4062, 250, 2807, 20893, 9, 4802, 2550, 237, 4024, 6092, 316, 9, 2457, 7683, 287, 3907, 3117, 9, 1083, 3413, 23720, 15216, 9, 274, 135, 2074, 2074, 657, 14400, 9, 208, 9, 479, 2074, 2074, 139, 402, 20, 2143, 3417, 4779, 7331, 9, 753, 35, 135, 2074, 2074, 657, 14400, 9, 208, 9, 479, 2074, 2074, 139, 402, 20, 2143, 3417, 5753, 12, 30339, 11, 185, 10136, 135, 2074, 2074, 657, 14400, 9, 208, 9, 479, 2074, 2074, 139, 402, 20, 2143, 3417, 1799, 237, 3650, 20893, 9, 6952, 4079, 403, 2844, 313, 22403, 9, 3575, 22569, 5265, 2807, 20893, 9, 3545, 135, 2074, 2074, 657, 14400, 9, 208, 9, 479, 2074, 2074, 139, 402, 20, 2143, 3417, 12021, 9, 14897, 2074, 7074, 9, 1057, 2099, 2074, 313, 9233, 9, 14545, 12877, 9, 26573, 2074, 27484, 9, 2487, 25159, 9, 12851, 2074, 286, 21765, 9, 33246, 2074, 29215, 9, 16103, 135, 2074, 2074, 657, 14400, 9, 208, 9, 479, 2074, 2074, 139, 402, 20, 2143, 3417, 26512, 2660, 715, 4476, 9, 8232, 135, 2074, 2074, 657, 14400, 9, 208, 9, 479, 2074, 2074, 139, 402, 20, 2143, 3417, 3523, 9, 13085, 20340, 9, 430, 3582, 2074, 16815, 12, 3523, 11, 185, 1998, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 11507, 5616, 12, 3160, 889, 76, 7, 446, 7488, 11, 44, 5216, 1541, 2529, 12, 33713, 429, 8, 308, 889, 76, 7, 446, 7488, 7, 15, 429, 608, 8, 15, 308, 889, 76, 469, 174, 199, 469, 1224, 7, 30, 446, 7488, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 3972, 5827, 12, 273, 387, 7, 446, 7488, 11, 44, 11711, 2646, 2401, 12, 3302, 7488, 535, 4252, 16874, 27021, 11, 44, 3977, 5616, 12, 25843, 7, 446, 7488, 11, 44, 11469, 10006, 12, 18303, 4532, 11, 44, 11711, 4830, 12, 388, 2175, 37347, 1782, 7, 767, 11, 44, 11711, 2646, 1059, 12, 12311, 21724, 11, 44, 430, 5843, 1800, 12, 2768, 989, 1596, 5, 98, 1307, 1214, 7, 682, 5288, 5, 177, 11, 44, 482, 14774, 8015, 12, 2499, 5287, 8332, 5, 1349, 2287, 11, 44, 17446, 2805, 12, 261, 4027, 38062, 8, 883, 1528, 683, 11646, 11, 44, 430, 13965, 1179, 12, 2768, 25, 308, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 27730, 305, 10421, 20, 4419, 3246, 38086, 605, 20, 402, 20, 2143, 110, 5017, 2457, 1737, 9300, 4289, 8081, 43, 274, 4802, 1083, 3078, 4341, 4920, 20, 9517, 20, 2875, 18286, 7, 887, 9, 359, 7832, 7, 361, 4220, 1907, 2830, 7341, 5372, 4779, 7331, 20, 249, 26, 1020, 12, 20272, 16, 5377, 11, 5753, 20, 10136, 5081, 20, 91, 5490, 174, 20, 5972, 21217, 110, 9, 157, 20, 11891, 4341, 4920, 20, 5753, 12, 30339, 11, 20, 1586, 14222, 28834, 521, 916, 135, 2074, 2074, 657, 12006, 9, 36, 9, 1031, 2074, 2074, 139, 44, 13796, 10830, 114, 12, 28731, 12986, 24, 15942, 11, 449, 7762, 920, 1955, 7666, 19769, 8842, 11847, 12, 6213, 26, 8573, 11, 44, 25895, 17806, 26, 8232, 28297, 13168, 26, 32408, 17000, 393, 1574, 26, 24630, 704, 19591, 790, 157, 20, 16293, 167, 8842, 1719, 3449, 23395, 1215, 704, 19591, 790, 157, 20, 24789, 3978, 24618, 8580, 4129, 1756, 135, 2074, 2074, 657, 14400, 9, 208, 9, 580, 2074, 2074, 139, 704, 19591, 790, 157, 20, 305, 16842, 10099, 361, 8312, 299, 454, 26, 286, 688, 24032, 31650, 2768, 286, 390, 1232, 20, 6952, 4901, 20, 3545, 68, 20, 3575, 2487, 14897, 14545, 8232, 26573, 3523, 20, 13085, 20340, 20, 430, 3582, 16815, 20, 1998, 343, 26746, 20, 185, 37, 6536, 20, 13675, 466, 7, 10616, 931, 6248, 1782, 7, 27430, 827, 7, 668, 1982, 163, 724, 25, 35, 343, 26746, 4, 185, 403, 5437, 81, 26647, 10, 4068, 8229, 806, 10924, 8, 174, 15, 8899, 163, 10, 1111, 82, 8, 1111, 116, 4, 15251, 8267, 5596, 222, 10, 8692, 20, 1737, 20, 1020, 3417, 343, 26746, 4, 4, 3544, 9, 3083, 5515, 28953, 3409, 33953, 31500, 20, 4395, 504, 9, 1206, 24, 7, 175, 2384, 164, 7, 702, 9597, 13801, 7288, 7, 5694, 2316, 7, 102, 2174, 7, 5921, 24029, 143, 15, 7564, 2186, 1630, 135, 2074, 2074, 657, 14400, 9, 208, 9, 479, 2074, 2074, 139, 402, 20, 2143, 3417, 36595, 2660, 2552, 9, 9300, 2074, 715, 2630, 39, 190, 9, 1737, 2074, 21085, 1527, 9, 3078, 2074, 4009, 3409, 20893, 9, 5017, 2818, 4062, 250, 2807, 20893, 9, 4802, 2550, 237, 4024, 6092, 316, 9, 2457, 7683, 287, 3907, 3117, 9, 1083, 3413, 23720, 15216, 9, 274, 135, 2074, 2074, 657, 14400, 9, 208, 9, 479, 2074, 2074, 139, 402, 20, 2143, 3417, 4779, 7331, 9, 753, 35, 135, 2074, 2074, 657, 14400, 9, 208, 9, 479, 2074, 2074, 139, 402, 20, 2143, 3417, 5753, 12, 30339, 11, 185, 10136, 135, 2074, 2074, 657, 14400, 9, 208, 9, 479, 2074, 2074, 139, 402, 20, 2143, 3417, 1799, 237, 3650, 20893, 9, 6952, 4079, 403, 2844, 313, 22403, 9, 3575, 22569, 5265, 2807, 20893, 9, 3545, 135, 2074, 2074, 657, 14400, 9, 208, 9, 479, 2074, 2074, 139, 402, 20, 2143, 3417, 12021, 9, 14897, 2074, 7074, 9, 1057, 2099, 2074, 313, 9233, 9, 14545, 12877, 9, 26573, 2074, 27484, 9, 2487, 25159, 9, 12851, 2074, 286, 21765, 9, 33246, 2074, 29215, 9, 16103, 135, 2074, 2074, 657, 14400, 9, 208, 9, 479, 2074, 2074, 139, 402, 20, 2143, 3417, 26512, 2660, 715, 4476, 9, 8232, 135, 2074, 2074, 657, 14400, 9, 208, 9, 479, 2074, 2074, 139, 402, 20, 2143, 3417, 3523, 9, 13085, 20340, 9, 430, 3582, 2074, 16815, 12, 3523, 11, 185, 1998, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
91,563
42184
[ 5493, 305, 10421, 20, 11507, 5616, 12, 3160, 889, 76, 7, 446, 7488, 11, 44, 5216, 1541, 2529, 12, 33713, 429, 8, 308, 889, 76, 7, 446, 7488, 7, 15, 429, 608, 8, 15, 308, 889, 76, 469, 174, 199, 469, 1224, 7, 30, 446, 7488, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 3972, 5827, 12, 273, 387, 7, 446, 7488, 11, 44, 11711, 2646, 2401, 12, 3302, 7488, 535, 4252, 16874, 27021, 11, 44, 3977, 5616, 12, 25843, 7, 446, 7488, 11, 44, 11469, 10006, 12, 18303, 4532, 11, 44, 11711, 4830, 12, 388, 2175, 37347, 1782, 7, 767, 11, 44, 11711, 2646, 1059, 12, 12311, 21724, 11, 44, 430, 5843, 1800, 12, 2768, 989, 1596, 5, 98, 1307, 1214, 7, 682, 5288, 5, 177, 11, 44, 482, 14774, 8015, 12, 2499, 5287, 8332, 5, 1349, 2287, 11, 44, 17446, 2805, 12, 261, 4027, 38062, 8, 883, 1528, 683, 11646, 11, 44, 430, 13965, 1179, 12, 2768, 25, 308, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 27730, 305, 10421, 20, 4419, 12982, 10440, 160, 1223, 12748, 2267, 20, 4469, 20, 230, 6092, 4037, 135, 2074, 2074, 32820, 12, 12718, 11, 2074, 2074, 139, 845, 20, 278, 4628, 8382, 1341, 135, 2074, 2074, 657, 14400, 9, 348, 9, 334, 2074, 2074, 139, 34, 402, 20, 4094, 3332, 920, 20, 135, 2074, 2074, 3247, 299, 10357, 85, 12, 299, 10357, 37308, 36, 11, 2103, 249, 2074, 2074, 139, 135, 2074, 2074, 30760, 299, 11142, 12, 299, 10357, 37308, 36, 11, 2074, 2074, 139, 7, 3818, 135, 2074, 2074, 583, 9, 34233, 2074, 2074, 139, 21804, 20, 135, 2074, 2074, 11432, 1346, 3649, 683, 12408, 12, 40, 11, 926, 7183, 2074, 2074, 139, 12, 135, 2074, 2074, 32820, 12, 12718, 11, 2074, 2074, 139, 7, 3466, 11, 135, 2074, 2074, 32820, 12, 12718, 11, 483, 1933, 2074, 2074, 139, 25925, 507, 20, 25680, 1799, 12549, 1510, 20360, 3587, 3432, 20, 943, 11432, 1346, 3587, 3432, 135, 2074, 2074, 3247, 299, 10357, 85, 12, 299, 10357, 37308, 36, 11, 2103, 249, 2074, 2074, 139, 135, 2074, 2074, 30760, 299, 11142, 12, 299, 10357, 37308, 36, 11, 2074, 2074, 139, 3818, 135, 2074, 2074, 3818, 17688, 12, 36, 11, 4005, 1926, 2074, 2074, 139, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 11507, 5616, 12, 3160, 889, 76, 7, 446, 7488, 11, 44, 5216, 1541, 2529, 12, 33713, 429, 8, 308, 889, 76, 7, 446, 7488, 7, 15, 429, 608, 8, 15, 308, 889, 76, 469, 174, 199, 469, 1224, 7, 30, 446, 7488, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 3972, 5827, 12, 273, 387, 7, 446, 7488, 11, 44, 11711, 2646, 2401, 12, 3302, 7488, 535, 4252, 16874, 27021, 11, 44, 3977, 5616, 12, 25843, 7, 446, 7488, 11, 44, 11469, 10006, 12, 18303, 4532, 11, 44, 11711, 4830, 12, 388, 2175, 37347, 1782, 7, 767, 11, 44, 11711, 2646, 1059, 12, 12311, 21724, 11, 44, 430, 5843, 1800, 12, 2768, 989, 1596, 5, 98, 1307, 1214, 7, 682, 5288, 5, 177, 11, 44, 482, 14774, 8015, 12, 2499, 5287, 8332, 5, 1349, 2287, 11, 44, 17446, 2805, 12, 261, 4027, 38062, 8, 883, 1528, 683, 11646, 11, 44, 430, 13965, 1179, 12, 2768, 25, 308, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 27730, 305, 10421, 20, 4419, 12982, 10440, 160, 1223, 12748, 2267, 20, 4469, 20, 230, 6092, 4037, 135, 2074, 2074, 32820, 12, 12718, 11, 2074, 2074, 139, 845, 20, 278, 4628, 8382, 1341, 135, 2074, 2074, 657, 14400, 9, 348, 9, 334, 2074, 2074, 139, 34, 402, 20, 4094, 3332, 920, 20, 135, 2074, 2074, 3247, 299, 10357, 85, 12, 299, 10357, 37308, 36, 11, 2103, 249, 2074, 2074, 139, 135, 2074, 2074, 30760, 299, 11142, 12, 299, 10357, 37308, 36, 11, 2074, 2074, 139, 7, 3818, 135, 2074, 2074, 583, 9, 34233, 2074, 2074, 139, 21804, 20, 135, 2074, 2074, 11432, 1346, 3649, 683, 12408, 12, 40, 11, 926, 7183, 2074, 2074, 139, 12, 135, 2074, 2074, 32820, 12, 12718, 11, 2074, 2074, 139, 7, 3466, 11, 135, 2074, 2074, 32820, 12, 12718, 11, 483, 1933, 2074, 2074, 139, 25925, 507, 20, 25680, 1799, 12549, 1510, 20360, 3587, 3432, 20, 943, 11432, 1346, 3587, 3432, 135, 2074, 2074, 3247, 299, 10357, 85, 12, 299, 10357, 37308, 36, 11, 2103, 249, 2074, 2074, 139, 135, 2074, 2074, 30760, 299, 11142, 12, 299, 10357, 37308, 36, 11, 2074, 2074, 139, 3818, 135, 2074, 2074, 3818, 17688, 12, 36, 11, 4005, 1926, 2074, 2074, 139, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
91,563
42184
[ 5493, 305, 10421, 20, 11507, 5616, 12, 3160, 889, 76, 7, 446, 7488, 11, 44, 5216, 1541, 2529, 12, 33713, 429, 8, 308, 889, 76, 7, 446, 7488, 7, 15, 429, 608, 8, 15, 308, 889, 76, 469, 174, 199, 469, 1224, 7, 30, 446, 7488, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 3972, 5827, 12, 273, 387, 7, 446, 7488, 11, 44, 11711, 2646, 2401, 12, 3302, 7488, 535, 4252, 16874, 27021, 11, 44, 3977, 5616, 12, 25843, 7, 446, 7488, 11, 44, 11469, 10006, 12, 18303, 4532, 11, 44, 11711, 4830, 12, 388, 2175, 37347, 1782, 7, 767, 11, 44, 11711, 2646, 1059, 12, 12311, 21724, 11, 44, 430, 5843, 1800, 12, 2768, 989, 1596, 5, 98, 1307, 1214, 7, 682, 5288, 5, 177, 11, 44, 482, 14774, 8015, 12, 2499, 5287, 8332, 5, 1349, 2287, 11, 44, 17446, 2805, 12, 261, 4027, 38062, 8, 883, 1528, 683, 11646, 11, 44, 430, 13965, 1179, 12, 2768, 25, 308, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 27730, 305, 10421, 20, 4419, 6827, 17246, 20, 33562, 8, 11998, 2065, 10, 5178, 279, 7, 11998, 29, 4055, 7, 10888, 101, 7, 3660, 1286, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 11507, 5616, 12, 3160, 889, 76, 7, 446, 7488, 11, 44, 5216, 1541, 2529, 12, 33713, 429, 8, 308, 889, 76, 7, 446, 7488, 7, 15, 429, 608, 8, 15, 308, 889, 76, 469, 174, 199, 469, 1224, 7, 30, 446, 7488, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 3972, 5827, 12, 273, 387, 7, 446, 7488, 11, 44, 11711, 2646, 2401, 12, 3302, 7488, 535, 4252, 16874, 27021, 11, 44, 3977, 5616, 12, 25843, 7, 446, 7488, 11, 44, 11469, 10006, 12, 18303, 4532, 11, 44, 11711, 4830, 12, 388, 2175, 37347, 1782, 7, 767, 11, 44, 11711, 2646, 1059, 12, 12311, 21724, 11, 44, 430, 5843, 1800, 12, 2768, 989, 1596, 5, 98, 1307, 1214, 7, 682, 5288, 5, 177, 11, 44, 482, 14774, 8015, 12, 2499, 5287, 8332, 5, 1349, 2287, 11, 44, 17446, 2805, 12, 261, 4027, 38062, 8, 883, 1528, 683, 11646, 11, 44, 430, 13965, 1179, 12, 2768, 25, 308, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 27730, 305, 10421, 20, 4419, 6827, 17246, 20, 33562, 8, 11998, 2065, 10, 5178, 279, 7, 11998, 29, 4055, 7, 10888, 101, 7, 3660, 1286, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
91,563
42184
[ 5493, 305, 10421, 20, 11507, 5616, 12, 3160, 889, 76, 7, 446, 7488, 11, 44, 5216, 1541, 2529, 12, 33713, 429, 8, 308, 889, 76, 7, 446, 7488, 7, 15, 429, 608, 8, 15, 308, 889, 76, 469, 174, 199, 469, 1224, 7, 30, 446, 7488, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 3972, 5827, 12, 273, 387, 7, 446, 7488, 11, 44, 11711, 2646, 2401, 12, 3302, 7488, 535, 4252, 16874, 27021, 11, 44, 3977, 5616, 12, 25843, 7, 446, 7488, 11, 44, 11469, 10006, 12, 18303, 4532, 11, 44, 11711, 4830, 12, 388, 2175, 37347, 1782, 7, 767, 11, 44, 11711, 2646, 1059, 12, 12311, 21724, 11, 44, 430, 5843, 1800, 12, 2768, 989, 1596, 5, 98, 1307, 1214, 7, 682, 5288, 5, 177, 11, 44, 482, 14774, 8015, 12, 2499, 5287, 8332, 5, 1349, 2287, 11, 44, 17446, 2805, 12, 261, 4027, 38062, 8, 883, 1528, 683, 11646, 11, 44, 430, 13965, 1179, 12, 2768, 25, 308, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 27730, 305, 10421, 20, 4419, 36321, 313, 2435, 6278, 2493, 3409, 1799, 18001, 20, 36, 4, 14405, 26584, 28205, 10687, 434, 25073, 6885, 261, 4177, 21568, 40, 4, 22277, 36509, 7675, 2464, 194, 7675, 2873, 190, 5635, 54, 4, 321, 3191, 24391, 466, 194, 6885, 1537, 4229, 354, 85, 4, 3157, 683, 4344, 250, 5222, 316, 82, 194, 6885, 261, 4177, 21568, 82, 4, 11393, 19285, 219, 194, 6885, 261, 4177, 21568, 116, 4, 11885, 36903, 18725, 194, 6885, 3598, 245, 215, 4, 4771, 38487, 82, 194, 6885, 261, 4177, 21568, 313, 421, 16, 7496, 109, 359, 208, 4, 25254, 18713, 194, 6885, 261, 4177, 21568, 348, 4, 3380, 1174, 37515, 1087, 194, 6885, 261, 4177, 21568, 91, 4, 15122, 36649, 10687, 359, 194, 6885, 31097, 20, 2873, 190, 10906, 7950, 16, 16732, 22086, 402, 4, 21566, 14903, 715, 4941, 157, 2539, 3598, 245, 245, 26, 103, 2750, 22392, 21, 4046, 198, 4, 35766, 30110, 1262, 6652, 194, 6885, 3598, 245, 465, 4, 12480, 8415, 36, 4062, 152, 6885, 31097, 20, 2873, 190, 10906, 400, 4, 7548, 25995, 11771, 12, 17993, 659, 11, 297, 194, 6885, 1537, 393, 354, 20, 2873, 190, 353, 2127, 4, 13461, 21212, 13927, 2074, 2014, 2074, 466, 194, 4024, 3907, 261, 4177, 21568, 313, 421, 7496, 109, 359, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 11507, 5616, 12, 3160, 889, 76, 7, 446, 7488, 11, 44, 5216, 1541, 2529, 12, 33713, 429, 8, 308, 889, 76, 7, 446, 7488, 7, 15, 429, 608, 8, 15, 308, 889, 76, 469, 174, 199, 469, 1224, 7, 30, 446, 7488, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 3972, 5827, 12, 273, 387, 7, 446, 7488, 11, 44, 11711, 2646, 2401, 12, 3302, 7488, 535, 4252, 16874, 27021, 11, 44, 3977, 5616, 12, 25843, 7, 446, 7488, 11, 44, 11469, 10006, 12, 18303, 4532, 11, 44, 11711, 4830, 12, 388, 2175, 37347, 1782, 7, 767, 11, 44, 11711, 2646, 1059, 12, 12311, 21724, 11, 44, 430, 5843, 1800, 12, 2768, 989, 1596, 5, 98, 1307, 1214, 7, 682, 5288, 5, 177, 11, 44, 482, 14774, 8015, 12, 2499, 5287, 8332, 5, 1349, 2287, 11, 44, 17446, 2805, 12, 261, 4027, 38062, 8, 883, 1528, 683, 11646, 11, 44, 430, 13965, 1179, 12, 2768, 25, 308, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 27730, 305, 10421, 20, 4419, 36321, 313, 2435, 6278, 2493, 3409, 1799, 18001, 20, 36, 4, 14405, 26584, 28205, 10687, 434, 25073, 6885, 261, 4177, 21568, 40, 4, 22277, 36509, 7675, 2464, 194, 7675, 2873, 190, 5635, 54, 4, 321, 3191, 24391, 466, 194, 6885, 1537, 4229, 354, 85, 4, 3157, 683, 4344, 250, 5222, 316, 82, 194, 6885, 261, 4177, 21568, 82, 4, 11393, 19285, 219, 194, 6885, 261, 4177, 21568, 116, 4, 11885, 36903, 18725, 194, 6885, 3598, 245, 215, 4, 4771, 38487, 82, 194, 6885, 261, 4177, 21568, 313, 421, 16, 7496, 109, 359, 208, 4, 25254, 18713, 194, 6885, 261, 4177, 21568, 348, 4, 3380, 1174, 37515, 1087, 194, 6885, 261, 4177, 21568, 91, 4, 15122, 36649, 10687, 359, 194, 6885, 31097, 20, 2873, 190, 10906, 7950, 16, 16732, 22086, 402, 4, 21566, 14903, 715, 4941, 157, 2539, 3598, 245, 245, 26, 103, 2750, 22392, 21, 4046, 198, 4, 35766, 30110, 1262, 6652, 194, 6885, 3598, 245, 465, 4, 12480, 8415, 36, 4062, 152, 6885, 31097, 20, 2873, 190, 10906, 400, 4, 7548, 25995, 11771, 12, 17993, 659, 11, 297, 194, 6885, 1537, 393, 354, 20, 2873, 190, 353, 2127, 4, 13461, 21212, 13927, 2074, 2014, 2074, 466, 194, 4024, 3907, 261, 4177, 21568, 313, 421, 7496, 109, 359, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
91,563
42184
[ 5493, 305, 10421, 20, 11507, 5616, 12, 3160, 889, 76, 7, 446, 7488, 11, 44, 5216, 1541, 2529, 12, 33713, 429, 8, 308, 889, 76, 7, 446, 7488, 7, 15, 429, 608, 8, 15, 308, 889, 76, 469, 174, 199, 469, 1224, 7, 30, 446, 7488, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 3972, 5827, 12, 273, 387, 7, 446, 7488, 11, 44, 11711, 2646, 2401, 12, 3302, 7488, 535, 4252, 16874, 27021, 11, 44, 3977, 5616, 12, 25843, 7, 446, 7488, 11, 44, 11469, 10006, 12, 18303, 4532, 11, 44, 11711, 4830, 12, 388, 2175, 37347, 1782, 7, 767, 11, 44, 11711, 2646, 1059, 12, 12311, 21724, 11, 44, 430, 5843, 1800, 12, 2768, 989, 1596, 5, 98, 1307, 1214, 7, 682, 5288, 5, 177, 11, 44, 482, 14774, 8015, 12, 2499, 5287, 8332, 5, 1349, 2287, 11, 44, 17446, 2805, 12, 261, 4027, 38062, 8, 883, 1528, 683, 11646, 11, 44, 430, 13965, 1179, 12, 2768, 25, 308, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 27730, 305, 10421, 20, 4419, 36321, 313, 2435, 6278, 33229, 12278, 20, 17782, 23763, 11962, 2768, 25, 308, 2839, 8749, 4596, 608, 2768, 25, 308, 889, 164, 12311, 29205, 15, 767, 429, 1782, 7124, 37214, 10428, 12801, 2287, 7476, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 11507, 5616, 12, 3160, 889, 76, 7, 446, 7488, 11, 44, 5216, 1541, 2529, 12, 33713, 429, 8, 308, 889, 76, 7, 446, 7488, 7, 15, 429, 608, 8, 15, 308, 889, 76, 469, 174, 199, 469, 1224, 7, 30, 446, 7488, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 3972, 5827, 12, 273, 387, 7, 446, 7488, 11, 44, 11711, 2646, 2401, 12, 3302, 7488, 535, 4252, 16874, 27021, 11, 44, 3977, 5616, 12, 25843, 7, 446, 7488, 11, 44, 11469, 10006, 12, 18303, 4532, 11, 44, 11711, 4830, 12, 388, 2175, 37347, 1782, 7, 767, 11, 44, 11711, 2646, 1059, 12, 12311, 21724, 11, 44, 430, 5843, 1800, 12, 2768, 989, 1596, 5, 98, 1307, 1214, 7, 682, 5288, 5, 177, 11, 44, 482, 14774, 8015, 12, 2499, 5287, 8332, 5, 1349, 2287, 11, 44, 17446, 2805, 12, 261, 4027, 38062, 8, 883, 1528, 683, 11646, 11, 44, 430, 13965, 1179, 12, 2768, 25, 308, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 27730, 305, 10421, 20, 4419, 36321, 313, 2435, 6278, 33229, 12278, 20, 17782, 23763, 11962, 2768, 25, 308, 2839, 8749, 4596, 608, 2768, 25, 308, 889, 164, 12311, 29205, 15, 767, 429, 1782, 7124, 37214, 10428, 12801, 2287, 7476, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
91,563
42184
[ 5493, 305, 10421, 20, 11507, 5616, 12, 3160, 889, 76, 7, 446, 7488, 11, 44, 5216, 1541, 2529, 12, 33713, 429, 8, 308, 889, 76, 7, 446, 7488, 7, 15, 429, 608, 8, 15, 308, 889, 76, 469, 174, 199, 469, 1224, 7, 30, 446, 7488, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 3972, 5827, 12, 273, 387, 7, 446, 7488, 11, 44, 11711, 2646, 2401, 12, 3302, 7488, 535, 4252, 16874, 27021, 11, 44, 3977, 5616, 12, 25843, 7, 446, 7488, 11, 44, 11469, 10006, 12, 18303, 4532, 11, 44, 11711, 4830, 12, 388, 2175, 37347, 1782, 7, 767, 11, 44, 11711, 2646, 1059, 12, 12311, 21724, 11, 44, 430, 5843, 1800, 12, 2768, 989, 1596, 5, 98, 1307, 1214, 7, 682, 5288, 5, 177, 11, 44, 482, 14774, 8015, 12, 2499, 5287, 8332, 5, 1349, 2287, 11, 44, 17446, 2805, 12, 261, 4027, 38062, 8, 883, 1528, 683, 11646, 11, 44, 430, 13965, 1179, 12, 2768, 25, 308, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 27730, 305, 10421, 20, 4419, 2493, 3409, 1799, 18001, 6101, 2571, 3643, 250, 36426, 20, 3157, 2126, 3132, 11210, 31, 2890, 8, 767, 4, 5151, 17, 253, 29, 2974, 4, 36, 4, 278, 4385, 37510, 219, 194, 6885, 5222, 4536, 18221, 20, 36, 28886, 40, 4, 6527, 38439, 434, 194, 6885, 261, 4177, 21568, 54, 4, 6956, 1336, 30336, 4227, 896, 17671, 12, 18900, 15524, 11, 504, 194, 6885, 261, 4177, 21568, 85, 4, 3157, 683, 4344, 250, 5222, 316, 82, 194, 6885, 261, 4177, 21568, 82, 4, 11393, 19285, 219, 194, 6885, 261, 4177, 21568, 116, 4, 321, 3191, 24391, 466, 194, 6885, 1537, 4229, 354, 215, 4, 14405, 26584, 28205, 10687, 434, 25073, 6885, 261, 4177, 21568, 208, 4, 22277, 36509, 7675, 2464, 194, 7675, 2873, 190, 5635, 482, 4, 13461, 21212, 13927, 2074, 2014, 2074, 466, 194, 5089, 886, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 11507, 5616, 12, 3160, 889, 76, 7, 446, 7488, 11, 44, 5216, 1541, 2529, 12, 33713, 429, 8, 308, 889, 76, 7, 446, 7488, 7, 15, 429, 608, 8, 15, 308, 889, 76, 469, 174, 199, 469, 1224, 7, 30, 446, 7488, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 3972, 5827, 12, 273, 387, 7, 446, 7488, 11, 44, 11711, 2646, 2401, 12, 3302, 7488, 535, 4252, 16874, 27021, 11, 44, 3977, 5616, 12, 25843, 7, 446, 7488, 11, 44, 11469, 10006, 12, 18303, 4532, 11, 44, 11711, 4830, 12, 388, 2175, 37347, 1782, 7, 767, 11, 44, 11711, 2646, 1059, 12, 12311, 21724, 11, 44, 430, 5843, 1800, 12, 2768, 989, 1596, 5, 98, 1307, 1214, 7, 682, 5288, 5, 177, 11, 44, 482, 14774, 8015, 12, 2499, 5287, 8332, 5, 1349, 2287, 11, 44, 17446, 2805, 12, 261, 4027, 38062, 8, 883, 1528, 683, 11646, 11, 44, 430, 13965, 1179, 12, 2768, 25, 308, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 27730, 305, 10421, 20, 4419, 2493, 3409, 1799, 18001, 6101, 2571, 3643, 250, 36426, 20, 3157, 2126, 3132, 11210, 31, 2890, 8, 767, 4, 5151, 17, 253, 29, 2974, 4, 36, 4, 278, 4385, 37510, 219, 194, 6885, 5222, 4536, 18221, 20, 36, 28886, 40, 4, 6527, 38439, 434, 194, 6885, 261, 4177, 21568, 54, 4, 6956, 1336, 30336, 4227, 896, 17671, 12, 18900, 15524, 11, 504, 194, 6885, 261, 4177, 21568, 85, 4, 3157, 683, 4344, 250, 5222, 316, 82, 194, 6885, 261, 4177, 21568, 82, 4, 11393, 19285, 219, 194, 6885, 261, 4177, 21568, 116, 4, 321, 3191, 24391, 466, 194, 6885, 1537, 4229, 354, 215, 4, 14405, 26584, 28205, 10687, 434, 25073, 6885, 261, 4177, 21568, 208, 4, 22277, 36509, 7675, 2464, 194, 7675, 2873, 190, 5635, 482, 4, 13461, 21212, 13927, 2074, 2014, 2074, 466, 194, 5089, 886, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
91,563
42184
[ 5493, 305, 10421, 20, 11507, 5616, 12, 3160, 889, 76, 7, 446, 7488, 11, 44, 5216, 1541, 2529, 12, 33713, 429, 8, 308, 889, 76, 7, 446, 7488, 7, 15, 429, 608, 8, 15, 308, 889, 76, 469, 174, 199, 469, 1224, 7, 30, 446, 7488, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 3972, 5827, 12, 273, 387, 7, 446, 7488, 11, 44, 11711, 2646, 2401, 12, 3302, 7488, 535, 4252, 16874, 27021, 11, 44, 3977, 5616, 12, 25843, 7, 446, 7488, 11, 44, 11469, 10006, 12, 18303, 4532, 11, 44, 11711, 4830, 12, 388, 2175, 37347, 1782, 7, 767, 11, 44, 11711, 2646, 1059, 12, 12311, 21724, 11, 44, 430, 5843, 1800, 12, 2768, 989, 1596, 5, 98, 1307, 1214, 7, 682, 5288, 5, 177, 11, 44, 482, 14774, 8015, 12, 2499, 5287, 8332, 5, 1349, 2287, 11, 44, 17446, 2805, 12, 261, 4027, 38062, 8, 883, 1528, 683, 11646, 11, 44, 430, 13965, 1179, 12, 2768, 25, 308, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 27730, 305, 10421, 20, 4419, 36321, 313, 2435, 6278, 3190, 12693, 6567, 18001, 20, 1015, 20337, 67, 14, 3435, 356, 11980, 28948, 1565, 8, 16312, 429, 134, 17, 95, 13, 33, 505, 2108, 4, 1015, 20337, 67, 14, 429, 5673, 356, 11980, 9404, 8, 11980, 47, 58, 4124, 25, 7791, 13, 1159, 16312, 429, 10429, 4, 1015, 218, 429, 134, 57, 58, 2108, 16, 14, 281, 94, 973, 14, 8737, 17, 41, 2377, 4, 1015, 20337, 67, 265, 902, 8358, 8, 17, 690, 15005, 13, 6787, 6, 902, 4, 39, 318, 16649, 5558, 289, 222, 16312, 1349, 8, 200, 702, 2287, 8, 11980, 19, 724, 23, 14, 647, 4488, 7, 14, 20681, 6364, 8, 14, 3692, 4488, 4, 1371, 47, 93, 7298, 22, 114, 21, 15029, 25, 114, 121, 2631, 4, 18726, 1717, 33, 22439, 13, 11024, 114, 951, 4, 1015, 20337, 47, 176, 15943, 22, 63, 47, 58, 518, 23, 14, 505, 304, 990, 4, 1015, 20337, 31, 1472, 25, 5062, 8, 2234, 13583, 543, 16, 16312, 429, 22, 63, 72, 1159, 13, 1394, 345, 14310, 4, 1015, 218, 16125, 282, 7413, 7195, 27, 11980, 10429, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 11507, 5616, 12, 3160, 889, 76, 7, 446, 7488, 11, 44, 5216, 1541, 2529, 12, 33713, 429, 8, 308, 889, 76, 7, 446, 7488, 7, 15, 429, 608, 8, 15, 308, 889, 76, 469, 174, 199, 469, 1224, 7, 30, 446, 7488, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 3972, 5827, 12, 273, 387, 7, 446, 7488, 11, 44, 11711, 2646, 2401, 12, 3302, 7488, 535, 4252, 16874, 27021, 11, 44, 3977, 5616, 12, 25843, 7, 446, 7488, 11, 44, 11469, 10006, 12, 18303, 4532, 11, 44, 11711, 4830, 12, 388, 2175, 37347, 1782, 7, 767, 11, 44, 11711, 2646, 1059, 12, 12311, 21724, 11, 44, 430, 5843, 1800, 12, 2768, 989, 1596, 5, 98, 1307, 1214, 7, 682, 5288, 5, 177, 11, 44, 482, 14774, 8015, 12, 2499, 5287, 8332, 5, 1349, 2287, 11, 44, 17446, 2805, 12, 261, 4027, 38062, 8, 883, 1528, 683, 11646, 11, 44, 430, 13965, 1179, 12, 2768, 25, 308, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 27730, 305, 10421, 20, 4419, 36321, 313, 2435, 6278, 3190, 12693, 6567, 18001, 20, 1015, 20337, 67, 14, 3435, 356, 11980, 28948, 1565, 8, 16312, 429, 134, 17, 95, 13, 33, 505, 2108, 4, 1015, 20337, 67, 14, 429, 5673, 356, 11980, 9404, 8, 11980, 47, 58, 4124, 25, 7791, 13, 1159, 16312, 429, 10429, 4, 1015, 218, 429, 134, 57, 58, 2108, 16, 14, 281, 94, 973, 14, 8737, 17, 41, 2377, 4, 1015, 20337, 67, 265, 902, 8358, 8, 17, 690, 15005, 13, 6787, 6, 902, 4, 39, 318, 16649, 5558, 289, 222, 16312, 1349, 8, 200, 702, 2287, 8, 11980, 19, 724, 23, 14, 647, 4488, 7, 14, 20681, 6364, 8, 14, 3692, 4488, 4, 1371, 47, 93, 7298, 22, 114, 21, 15029, 25, 114, 121, 2631, 4, 18726, 1717, 33, 22439, 13, 11024, 114, 951, 4, 1015, 20337, 47, 176, 15943, 22, 63, 47, 58, 518, 23, 14, 505, 304, 990, 4, 1015, 20337, 31, 1472, 25, 5062, 8, 2234, 13583, 543, 16, 16312, 429, 22, 63, 72, 1159, 13, 1394, 345, 14310, 4, 1015, 218, 16125, 282, 7413, 7195, 27, 11980, 10429, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
91,563
42184
[ 5493, 305, 10421, 20, 11507, 5616, 12, 3160, 889, 76, 7, 446, 7488, 11, 44, 5216, 1541, 2529, 12, 33713, 429, 8, 308, 889, 76, 7, 446, 7488, 7, 15, 429, 608, 8, 15, 308, 889, 76, 469, 174, 199, 469, 1224, 7, 30, 446, 7488, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 3972, 5827, 12, 273, 387, 7, 446, 7488, 11, 44, 11711, 2646, 2401, 12, 3302, 7488, 535, 4252, 16874, 27021, 11, 44, 3977, 5616, 12, 25843, 7, 446, 7488, 11, 44, 11469, 10006, 12, 18303, 4532, 11, 44, 11711, 4830, 12, 388, 2175, 37347, 1782, 7, 767, 11, 44, 11711, 2646, 1059, 12, 12311, 21724, 11, 44, 430, 5843, 1800, 12, 2768, 989, 1596, 5, 98, 1307, 1214, 7, 682, 5288, 5, 177, 11, 44, 482, 14774, 8015, 12, 2499, 5287, 8332, 5, 1349, 2287, 11, 44, 17446, 2805, 12, 261, 4027, 38062, 8, 883, 1528, 683, 11646, 11, 44, 430, 13965, 1179, 12, 2768, 25, 308, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 27730, 305, 10421, 20, 4419, 4079, 1015, 2807, 15592, 10452, 3332, 20, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 11507, 5616, 12, 3160, 889, 76, 7, 446, 7488, 11, 44, 5216, 1541, 2529, 12, 33713, 429, 8, 308, 889, 76, 7, 446, 7488, 7, 15, 429, 608, 8, 15, 308, 889, 76, 469, 174, 199, 469, 1224, 7, 30, 446, 7488, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 3972, 5827, 12, 273, 387, 7, 446, 7488, 11, 44, 11711, 2646, 2401, 12, 3302, 7488, 535, 4252, 16874, 27021, 11, 44, 3977, 5616, 12, 25843, 7, 446, 7488, 11, 44, 11469, 10006, 12, 18303, 4532, 11, 44, 11711, 4830, 12, 388, 2175, 37347, 1782, 7, 767, 11, 44, 11711, 2646, 1059, 12, 12311, 21724, 11, 44, 430, 5843, 1800, 12, 2768, 989, 1596, 5, 98, 1307, 1214, 7, 682, 5288, 5, 177, 11, 44, 482, 14774, 8015, 12, 2499, 5287, 8332, 5, 1349, 2287, 11, 44, 17446, 2805, 12, 261, 4027, 38062, 8, 883, 1528, 683, 11646, 11, 44, 430, 13965, 1179, 12, 2768, 25, 308, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 27730, 305, 10421, 20, 4419, 4079, 1015, 2807, 15592, 10452, 3332, 20, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
91,563
42184
[ 5493, 305, 10421, 20, 11507, 5616, 12, 3160, 889, 76, 7, 446, 7488, 11, 44, 5216, 1541, 2529, 12, 33713, 429, 8, 308, 889, 76, 7, 446, 7488, 7, 15, 429, 608, 8, 15, 308, 889, 76, 469, 174, 199, 469, 1224, 7, 30, 446, 7488, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 3972, 5827, 12, 273, 387, 7, 446, 7488, 11, 44, 11711, 2646, 2401, 12, 3302, 7488, 535, 4252, 16874, 27021, 11, 44, 3977, 5616, 12, 25843, 7, 446, 7488, 11, 44, 11469, 10006, 12, 18303, 4532, 11, 44, 11711, 4830, 12, 388, 2175, 37347, 1782, 7, 767, 11, 44, 11711, 2646, 1059, 12, 12311, 21724, 11, 44, 430, 5843, 1800, 12, 2768, 989, 1596, 5, 98, 1307, 1214, 7, 682, 5288, 5, 177, 11, 44, 482, 14774, 8015, 12, 2499, 5287, 8332, 5, 1349, 2287, 11, 44, 17446, 2805, 12, 261, 4027, 38062, 8, 883, 1528, 683, 11646, 11, 44, 430, 13965, 1179, 12, 2768, 25, 308, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 27730, 305, 10421, 20, 4419, 40, 4, 28953, 3409, 2685, 5641, 2047, 4024, 1341, 20, 927, 8713, 3978, 30074, 6439, 17251, 67, 58, 330, 23, 6439, 6364, 149, 1728, 102, 640, 27, 125, 17, 2901, 4, 2900, 1588, 598, 757, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 11507, 5616, 12, 3160, 889, 76, 7, 446, 7488, 11, 44, 5216, 1541, 2529, 12, 33713, 429, 8, 308, 889, 76, 7, 446, 7488, 7, 15, 429, 608, 8, 15, 308, 889, 76, 469, 174, 199, 469, 1224, 7, 30, 446, 7488, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 3972, 5827, 12, 273, 387, 7, 446, 7488, 11, 44, 11711, 2646, 2401, 12, 3302, 7488, 535, 4252, 16874, 27021, 11, 44, 3977, 5616, 12, 25843, 7, 446, 7488, 11, 44, 11469, 10006, 12, 18303, 4532, 11, 44, 11711, 4830, 12, 388, 2175, 37347, 1782, 7, 767, 11, 44, 11711, 2646, 1059, 12, 12311, 21724, 11, 44, 430, 5843, 1800, 12, 2768, 989, 1596, 5, 98, 1307, 1214, 7, 682, 5288, 5, 177, 11, 44, 482, 14774, 8015, 12, 2499, 5287, 8332, 5, 1349, 2287, 11, 44, 17446, 2805, 12, 261, 4027, 38062, 8, 883, 1528, 683, 11646, 11, 44, 430, 13965, 1179, 12, 2768, 25, 308, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 27730, 305, 10421, 20, 4419, 40, 4, 28953, 3409, 2685, 5641, 2047, 4024, 1341, 20, 927, 8713, 3978, 30074, 6439, 17251, 67, 58, 330, 23, 6439, 6364, 149, 1728, 102, 640, 27, 125, 17, 2901, 4, 2900, 1588, 598, 757, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
91,563
42184
[ 5493, 305, 10421, 20, 11507, 5616, 12, 3160, 889, 76, 7, 446, 7488, 11, 44, 5216, 1541, 2529, 12, 33713, 429, 8, 308, 889, 76, 7, 446, 7488, 7, 15, 429, 608, 8, 15, 308, 889, 76, 469, 174, 199, 469, 1224, 7, 30, 446, 7488, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 3972, 5827, 12, 273, 387, 7, 446, 7488, 11, 44, 11711, 2646, 2401, 12, 3302, 7488, 535, 4252, 16874, 27021, 11, 44, 3977, 5616, 12, 25843, 7, 446, 7488, 11, 44, 11469, 10006, 12, 18303, 4532, 11, 44, 11711, 4830, 12, 388, 2175, 37347, 1782, 7, 767, 11, 44, 11711, 2646, 1059, 12, 12311, 21724, 11, 44, 430, 5843, 1800, 12, 2768, 989, 1596, 5, 98, 1307, 1214, 7, 682, 5288, 5, 177, 11, 44, 482, 14774, 8015, 12, 2499, 5287, 8332, 5, 1349, 2287, 11, 44, 17446, 2805, 12, 261, 4027, 38062, 8, 883, 1528, 683, 11646, 11, 44, 430, 13965, 1179, 12, 2768, 25, 308, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 27730, 305, 10421, 20, 4419, 4079, 1015, 2807, 15592, 10452, 2888, 3190, 13249, 20, 9987, 20, 157, 43, 482, 6091, 1785, 43, 10267, 26, 1933, 1455, 43, 992, 10616, 931, 6248, 1782, 2681, 43, 219, 2607, 578, 34, 43, 2404, 24, 21914, 2952, 3907, 20, 7153, 4, 20927, 9958, 1614, 54, 4, 4703, 17772, 20, 299, 6820, 4, 23130, 14, 776, 1356, 18021, 4, 16755, 14644, 7, 19111, 3208, 4, 2499, 17464, 12067, 14, 19, 30872, 7, 102, 19888, 30, 30, 8948, 1939, 5, 6, 579, 2626, 4, 668, 1614, 776, 20292, 1716, 5273, 4, 299, 3083, 473, 20, 10585, 10114, 15, 964, 9310, 5, 348, 1027, 4, 28953, 3409, 2685, 20, 32127, 1393, 10, 12986, 21408, 1526, 7, 4123, 27220, 9514, 638, 4, 25035, 134, 7, 175, 3729, 7, 4844, 4, 668, 659, 26, 677, 26, 454, 4, 668, 2026, 825, 17069, 7, 16674, 1456, 4, 668, 11775, 30, 16287, 4, 237, 18187, 4954, 20, 5816, 18519, 5894, 806, 25503, 765, 977, 10, 491, 200, 3820, 2935, 5181, 25190, 20, 17949, 7, 7606, 5699, 4, 668, 313, 4131, 30, 18100, 4, 5674, 636, 3614, 41, 8592, 23, 20978, 4, 668, 19836, 3187, 16649, 106, 4, 10452, 16415, 3643, 3598, 2940, 20, 135, 2074, 2074, 36, 9, 434, 2074, 2074, 139, 51, 3237, 1844, 200, 8154, 7, 401, 361, 4797, 11173, 31506, 3423, 25, 213, 8122, 8159, 5829, 20, 668, 19351, 6057, 7, 5514, 7, 14151, 7, 30, 11202, 3853, 4, 9587, 237, 8262, 20, 12801, 20, 17955, 40, 51, 24745, 40, 51, 8306, 2234, 36865, 40, 51, 4933, 40, 51, 3523, 40, 51, 8123, 20, 17955, 40, 51, 24745, 40, 51, 8306, 2234, 36865, 40, 51, 4933, 40, 51, 3523, 40, 51, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 11507, 5616, 12, 3160, 889, 76, 7, 446, 7488, 11, 44, 5216, 1541, 2529, 12, 33713, 429, 8, 308, 889, 76, 7, 446, 7488, 7, 15, 429, 608, 8, 15, 308, 889, 76, 469, 174, 199, 469, 1224, 7, 30, 446, 7488, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 3972, 5827, 12, 273, 387, 7, 446, 7488, 11, 44, 11711, 2646, 2401, 12, 3302, 7488, 535, 4252, 16874, 27021, 11, 44, 3977, 5616, 12, 25843, 7, 446, 7488, 11, 44, 11469, 10006, 12, 18303, 4532, 11, 44, 11711, 4830, 12, 388, 2175, 37347, 1782, 7, 767, 11, 44, 11711, 2646, 1059, 12, 12311, 21724, 11, 44, 430, 5843, 1800, 12, 2768, 989, 1596, 5, 98, 1307, 1214, 7, 682, 5288, 5, 177, 11, 44, 482, 14774, 8015, 12, 2499, 5287, 8332, 5, 1349, 2287, 11, 44, 17446, 2805, 12, 261, 4027, 38062, 8, 883, 1528, 683, 11646, 11, 44, 430, 13965, 1179, 12, 2768, 25, 308, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 27730, 305, 10421, 20, 4419, 4079, 1015, 2807, 15592, 10452, 2888, 3190, 13249, 20, 9987, 20, 157, 43, 482, 6091, 1785, 43, 10267, 26, 1933, 1455, 43, 992, 10616, 931, 6248, 1782, 2681, 43, 219, 2607, 578, 34, 43, 2404, 24, 21914, 2952, 3907, 20, 7153, 4, 20927, 9958, 1614, 54, 4, 4703, 17772, 20, 299, 6820, 4, 23130, 14, 776, 1356, 18021, 4, 16755, 14644, 7, 19111, 3208, 4, 2499, 17464, 12067, 14, 19, 30872, 7, 102, 19888, 30, 30, 8948, 1939, 5, 6, 579, 2626, 4, 668, 1614, 776, 20292, 1716, 5273, 4, 299, 3083, 473, 20, 10585, 10114, 15, 964, 9310, 5, 348, 1027, 4, 28953, 3409, 2685, 20, 32127, 1393, 10, 12986, 21408, 1526, 7, 4123, 27220, 9514, 638, 4, 25035, 134, 7, 175, 3729, 7, 4844, 4, 668, 659, 26, 677, 26, 454, 4, 668, 2026, 825, 17069, 7, 16674, 1456, 4, 668, 11775, 30, 16287, 4, 237, 18187, 4954, 20, 5816, 18519, 5894, 806, 25503, 765, 977, 10, 491, 200, 3820, 2935, 5181, 25190, 20, 17949, 7, 7606, 5699, 4, 668, 313, 4131, 30, 18100, 4, 5674, 636, 3614, 41, 8592, 23, 20978, 4, 668, 19836, 3187, 16649, 106, 4, 10452, 16415, 3643, 3598, 2940, 20, 135, 2074, 2074, 36, 9, 434, 2074, 2074, 139, 51, 3237, 1844, 200, 8154, 7, 401, 361, 4797, 11173, 31506, 3423, 25, 213, 8122, 8159, 5829, 20, 668, 19351, 6057, 7, 5514, 7, 14151, 7, 30, 11202, 3853, 4, 9587, 237, 8262, 20, 12801, 20, 17955, 40, 51, 24745, 40, 51, 8306, 2234, 36865, 40, 51, 4933, 40, 51, 3523, 40, 51, 8123, 20, 17955, 40, 51, 24745, 40, 51, 8306, 2234, 36865, 40, 51, 4933, 40, 51, 3523, 40, 51, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
91,563
42184
[ 5493, 305, 10421, 20, 11507, 5616, 12, 3160, 889, 76, 7, 446, 7488, 11, 44, 5216, 1541, 2529, 12, 33713, 429, 8, 308, 889, 76, 7, 446, 7488, 7, 15, 429, 608, 8, 15, 308, 889, 76, 469, 174, 199, 469, 1224, 7, 30, 446, 7488, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 3972, 5827, 12, 273, 387, 7, 446, 7488, 11, 44, 11711, 2646, 2401, 12, 3302, 7488, 535, 4252, 16874, 27021, 11, 44, 3977, 5616, 12, 25843, 7, 446, 7488, 11, 44, 11469, 10006, 12, 18303, 4532, 11, 44, 11711, 4830, 12, 388, 2175, 37347, 1782, 7, 767, 11, 44, 11711, 2646, 1059, 12, 12311, 21724, 11, 44, 430, 5843, 1800, 12, 2768, 989, 1596, 5, 98, 1307, 1214, 7, 682, 5288, 5, 177, 11, 44, 482, 14774, 8015, 12, 2499, 5287, 8332, 5, 1349, 2287, 11, 44, 17446, 2805, 12, 261, 4027, 38062, 8, 883, 1528, 683, 11646, 11, 44, 430, 13965, 1179, 12, 2768, 25, 308, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 27730, 305, 10421, 20, 4419, 2550, 453, 4395, 17081, 2817, 388, 30521, 20, 261, 4027, 38062, 8, 5927, 4, 4, 5641, 2047, 4024, 1341, 2568, 39844, 21468, 453, 7219, 5265, 1961, 20, 7435, 21, 14, 135, 2074, 2074, 4135, 222, 791, 2074, 2074, 139, 873, 26, 399, 649, 15, 757, 5, 927, 12872, 7, 7044, 4609, 7, 5027, 7, 24029, 7, 5136, 7, 8397, 7, 1714, 149, 17, 4721, 13, 135, 2074, 2074, 18820, 846, 36, 414, 2074, 2074, 139, 16, 8737, 3051, 279, 26, 110, 2562, 12872, 4, 34049, 403, 4444, 12, 11706, 19119, 1162, 28302, 11, 2071, 7, 5210, 17, 10, 4624, 489, 5, 150, 1786, 35, 35251, 5992, 154, 5210, 289, 293, 874, 15943, 247, 10327, 3109, 25373, 154, 5210, 6481, 8, 12376, 17, 3919, 815, 4, 668, 9417, 30, 4554, 4, 943, 3874, 289, 2268, 353, 3233, 1118, 13, 3109, 2135, 8, 19644, 806, 5062, 18713, 8, 10316, 2750, 4, 37, 6, 22846, 5210, 17, 1686, 13, 33, 32439, 5833, 407, 2015, 7, 31242, 7, 6523, 15, 5927, 8, 613, 24963, 1516, 2945, 4, 18, 682, 343, 26746, 111, 10068, 12872, 10, 5216, 279, 4, 39, 1130, 198, 849, 343, 26746, 301, 3033, 33159, 2772, 15, 82, 20, 36, 4349, 15, 335, 45, 1869, 8, 1608, 4, 37, 6, 2448, 28850, 11962, 17, 823, 690, 26647, 10, 174, 8, 806, 10924, 8, 125, 346, 13, 33, 10354, 3671, 8, 3379, 157, 1387, 13, 7500, 259, 11564, 4, 5651, 17, 7771, 16, 621, 2268, 13, 677, 26, 399, 1261, 3338, 8, 50, 7226, 25, 3270, 32214, 7, 1344, 14, 7, 10316, 32214, 7, 3440, 7, 8, 2947, 25, 3109, 1824, 228, 5, 915, 5610, 543, 7, 26268, 7, 8, 1824, 13461, 21212, 13927, 17, 2620, 13, 20308, 501, 30318, 12, 1286, 228, 11, 4, 13093, 14226, 34, 403, 4444, 17, 10756, 16, 1785, 2384, 2143, 36597, 74, 1349, 8154, 7, 12872, 7, 3493, 18519, 5894, 10, 491, 1425, 7, 40, 51, 11693, 1357, 3237, 10, 7044, 11139, 7, 8, 611, 7695, 25, 491, 8122, 15, 4439, 59, 8, 5203, 5075, 13831, 744, 4, 11974, 279, 12021, 13826, 7, 696, 23487, 22377, 7, 2234, 527, 657, 3693, 3111, 7, 16815, 3351, 20340, 249, 4, 1491, 9409, 458, 4400, 7, 3380, 2487, 7, 7900, 1162, 787, 1205, 7, 5386, 400, 4, 24370, 26, 4759, 2076, 26, 1208, 28660, 3188, 1828, 2040, 8, 1232, 6294, 4, 2989, 2207, 7, 1139, 5081, 400, 7, 1139, 19591, 174, 19238, 4, 343, 26746, 15, 388, 21724, 82, 20, 36, 4349, 1782, 4, 926, 607, 26647, 10, 174, 7, 657, 16475, 26647, 10, 806, 10924, 15, 8899, 1982, 978, 15643, 10, 272, 7, 272, 7, 4228, 526, 7, 449, 82, 8, 449, 116, 4, 3185, 112, 176, 237, 9104, 112, 4, 10303, 401, 15, 8592, 535, 6508, 696, 3930, 17162, 4, 621, 15254, 111, 535, 7819, 15, 304, 10192, 6974, 7, 318, 9695, 11269, 5838, 7, 304, 702, 4382, 6974, 4, 3083, 6263, 111, 4395, 504, 9, 1206, 24, 7, 175, 2384, 164, 7, 702, 9597, 13801, 7288, 7, 5694, 2316, 7, 102, 2174, 7, 5921, 24029, 143, 15, 7564, 2186, 1630, 943, 12213, 13, 3864, 1002, 6, 125, 1568, 126, 8, 17, 36776, 1670, 7, 14757, 8, 5281, 1614, 54, 4, 5651, 214, 893, 265, 2268, 353, 25, 3109, 200, 702, 30954, 46, 129, 17, 143, 70, 6090, 4, 18, 353, 17, 7987, 13, 33, 1231, 8, 155, 9, 3233, 1118, 4, 5651, 31010, 6523, 7, 15943, 7, 29964, 5, 6996, 7, 61, 214, 18635, 3094, 14, 7167, 46, 21, 176, 4, 11002, 2568, 11623, 2047, 12376, 943, 256, 5, 515, 7, 279, 26, 3878, 4411, 3045, 420, 947, 757, 5, 990, 7, 17017, 7, 2039, 1631, 2925, 7, 630, 6158, 7, 1720, 34, 6, 94, 5, 240, 7, 2747, 846, 8050, 27, 7, 1463, 25187, 7, 7167, 7, 25969, 7, 3625, 22086, 30, 1222, 22086, 4, 283, 26, 3878, 4411, 3045, 736, 871, 3838, 1080, 7, 20309, 4898, 30, 14615, 3548, 4, 283, 26, 3878, 4411, 3045, 33486, 4443, 6826, 1244, 30, 7256, 353, 4, 487, 5, 6, 98, 256, 5, 515, 19, 383, 4, 5389, 256, 5, 515, 21, 10756, 16, 899, 5, 9605, 25, 18156, 7, 12264, 8449, 9605, 7, 26450, 12683, 7, 4725, 3237, 7, 25989, 19232, 7, 12969, 30, 5015, 4321, 9436, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 11507, 5616, 12, 3160, 889, 76, 7, 446, 7488, 11, 44, 5216, 1541, 2529, 12, 33713, 429, 8, 308, 889, 76, 7, 446, 7488, 7, 15, 429, 608, 8, 15, 308, 889, 76, 469, 174, 199, 469, 1224, 7, 30, 446, 7488, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 3972, 5827, 12, 273, 387, 7, 446, 7488, 11, 44, 11711, 2646, 2401, 12, 3302, 7488, 535, 4252, 16874, 27021, 11, 44, 3977, 5616, 12, 25843, 7, 446, 7488, 11, 44, 11469, 10006, 12, 18303, 4532, 11, 44, 11711, 4830, 12, 388, 2175, 37347, 1782, 7, 767, 11, 44, 11711, 2646, 1059, 12, 12311, 21724, 11, 44, 430, 5843, 1800, 12, 2768, 989, 1596, 5, 98, 1307, 1214, 7, 682, 5288, 5, 177, 11, 44, 482, 14774, 8015, 12, 2499, 5287, 8332, 5, 1349, 2287, 11, 44, 17446, 2805, 12, 261, 4027, 38062, 8, 883, 1528, 683, 11646, 11, 44, 430, 13965, 1179, 12, 2768, 25, 308, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 27730, 305, 10421, 20, 4419, 2550, 453, 4395, 17081, 2817, 388, 30521, 20, 261, 4027, 38062, 8, 5927, 4, 4, 5641, 2047, 4024, 1341, 2568, 39844, 21468, 453, 7219, 5265, 1961, 20, 7435, 21, 14, 135, 2074, 2074, 4135, 222, 791, 2074, 2074, 139, 873, 26, 399, 649, 15, 757, 5, 927, 12872, 7, 7044, 4609, 7, 5027, 7, 24029, 7, 5136, 7, 8397, 7, 1714, 149, 17, 4721, 13, 135, 2074, 2074, 18820, 846, 36, 414, 2074, 2074, 139, 16, 8737, 3051, 279, 26, 110, 2562, 12872, 4, 34049, 403, 4444, 12, 11706, 19119, 1162, 28302, 11, 2071, 7, 5210, 17, 10, 4624, 489, 5, 150, 1786, 35, 35251, 5992, 154, 5210, 289, 293, 874, 15943, 247, 10327, 3109, 25373, 154, 5210, 6481, 8, 12376, 17, 3919, 815, 4, 668, 9417, 30, 4554, 4, 943, 3874, 289, 2268, 353, 3233, 1118, 13, 3109, 2135, 8, 19644, 806, 5062, 18713, 8, 10316, 2750, 4, 37, 6, 22846, 5210, 17, 1686, 13, 33, 32439, 5833, 407, 2015, 7, 31242, 7, 6523, 15, 5927, 8, 613, 24963, 1516, 2945, 4, 18, 682, 343, 26746, 111, 10068, 12872, 10, 5216, 279, 4, 39, 1130, 198, 849, 343, 26746, 301, 3033, 33159, 2772, 15, 82, 20, 36, 4349, 15, 335, 45, 1869, 8, 1608, 4, 37, 6, 2448, 28850, 11962, 17, 823, 690, 26647, 10, 174, 8, 806, 10924, 8, 125, 346, 13, 33, 10354, 3671, 8, 3379, 157, 1387, 13, 7500, 259, 11564, 4, 5651, 17, 7771, 16, 621, 2268, 13, 677, 26, 399, 1261, 3338, 8, 50, 7226, 25, 3270, 32214, 7, 1344, 14, 7, 10316, 32214, 7, 3440, 7, 8, 2947, 25, 3109, 1824, 228, 5, 915, 5610, 543, 7, 26268, 7, 8, 1824, 13461, 21212, 13927, 17, 2620, 13, 20308, 501, 30318, 12, 1286, 228, 11, 4, 13093, 14226, 34, 403, 4444, 17, 10756, 16, 1785, 2384, 2143, 36597, 74, 1349, 8154, 7, 12872, 7, 3493, 18519, 5894, 10, 491, 1425, 7, 40, 51, 11693, 1357, 3237, 10, 7044, 11139, 7, 8, 611, 7695, 25, 491, 8122, 15, 4439, 59, 8, 5203, 5075, 13831, 744, 4, 11974, 279, 12021, 13826, 7, 696, 23487, 22377, 7, 2234, 527, 657, 3693, 3111, 7, 16815, 3351, 20340, 249, 4, 1491, 9409, 458, 4400, 7, 3380, 2487, 7, 7900, 1162, 787, 1205, 7, 5386, 400, 4, 24370, 26, 4759, 2076, 26, 1208, 28660, 3188, 1828, 2040, 8, 1232, 6294, 4, 2989, 2207, 7, 1139, 5081, 400, 7, 1139, 19591, 174, 19238, 4, 343, 26746, 15, 388, 21724, 82, 20, 36, 4349, 1782, 4, 926, 607, 26647, 10, 174, 7, 657, 16475, 26647, 10, 806, 10924, 15, 8899, 1982, 978, 15643, 10, 272, 7, 272, 7, 4228, 526, 7, 449, 82, 8, 449, 116, 4, 3185, 112, 176, 237, 9104, 112, 4, 10303, 401, 15, 8592, 535, 6508, 696, 3930, 17162, 4, 621, 15254, 111, 535, 7819, 15, 304, 10192, 6974, 7, 318, 9695, 11269, 5838, 7, 304, 702, 4382, 6974, 4, 3083, 6263, 111, 4395, 504, 9, 1206, 24, 7, 175, 2384, 164, 7, 702, 9597, 13801, 7288, 7, 5694, 2316, 7, 102, 2174, 7, 5921, 24029, 143, 15, 7564, 2186, 1630, 943, 12213, 13, 3864, 1002, 6, 125, 1568, 126, 8, 17, 36776, 1670, 7, 14757, 8, 5281, 1614, 54, 4, 5651, 214, 893, 265, 2268, 353, 25, 3109, 200, 702, 30954, 46, 129, 17, 143, 70, 6090, 4, 18, 353, 17, 7987, 13, 33, 1231, 8, 155, 9, 3233, 1118, 4, 5651, 31010, 6523, 7, 15943, 7, 29964, 5, 6996, 7, 61, 214, 18635, 3094, 14, 7167, 46, 21, 176, 4, 11002, 2568, 11623, 2047, 12376, 943, 256, 5, 515, 7, 279, 26, 3878, 4411, 3045, 420, 947, 757, 5, 990, 7, 17017, 7, 2039, 1631, 2925, 7, 630, 6158, 7, 1720, 34, 6, 94, 5, 240, 7, 2747, 846, 8050, 27, 7, 1463, 25187, 7, 7167, 7, 25969, 7, 3625, 22086, 30, 1222, 22086, 4, 283, 26, 3878, 4411, 3045, 736, 871, 3838, 1080, 7, 20309, 4898, 30, 14615, 3548, 4, 283, 26, 3878, 4411, 3045, 33486, 4443, 6826, 1244, 30, 7256, 353, 4, 487, 5, 6, 98, 256, 5, 515, 19, 383, 4, 5389, 256, 5, 515, 21, 10756, 16, 899, 5, 9605, 25, 18156, 7, 12264, 8449, 9605, 7, 26450, 12683, 7, 4725, 3237, 7, 25989, 19232, 7, 12969, 30, 5015, 4321, 9436, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
91,563
42184
[ 5493, 305, 10421, 20, 11507, 5616, 12, 3160, 889, 76, 7, 446, 7488, 11, 44, 5216, 1541, 2529, 12, 33713, 429, 8, 308, 889, 76, 7, 446, 7488, 7, 15, 429, 608, 8, 15, 308, 889, 76, 469, 174, 199, 469, 1224, 7, 30, 446, 7488, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 3972, 5827, 12, 273, 387, 7, 446, 7488, 11, 44, 11711, 2646, 2401, 12, 3302, 7488, 535, 4252, 16874, 27021, 11, 44, 3977, 5616, 12, 25843, 7, 446, 7488, 11, 44, 11469, 10006, 12, 18303, 4532, 11, 44, 11711, 4830, 12, 388, 2175, 37347, 1782, 7, 767, 11, 44, 11711, 2646, 1059, 12, 12311, 21724, 11, 44, 430, 5843, 1800, 12, 2768, 989, 1596, 5, 98, 1307, 1214, 7, 682, 5288, 5, 177, 11, 44, 482, 14774, 8015, 12, 2499, 5287, 8332, 5, 1349, 2287, 11, 44, 17446, 2805, 12, 261, 4027, 38062, 8, 883, 1528, 683, 11646, 11, 44, 430, 13965, 1179, 12, 2768, 25, 308, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 27730, 305, 10421, 20, 4419, 5641, 2047, 4024, 1341, 2568, 11415, 3768, 4476, 453, 7219, 5265, 1961, 20, 39531, 18250, 28953, 3409, 403, 5783, 21135, 20, 135, 2074, 2074, 30760, 299, 11142, 12, 7599, 11, 1740, 887, 2074, 2074, 139, 7, 135, 2074, 2074, 299, 10357, 208, 12, 3818, 11, 2074, 2074, 139, 3818, 4, 9760, 20, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 11507, 5616, 12, 3160, 889, 76, 7, 446, 7488, 11, 44, 5216, 1541, 2529, 12, 33713, 429, 8, 308, 889, 76, 7, 446, 7488, 7, 15, 429, 608, 8, 15, 308, 889, 76, 469, 174, 199, 469, 1224, 7, 30, 446, 7488, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 3972, 5827, 12, 273, 387, 7, 446, 7488, 11, 44, 11711, 2646, 2401, 12, 3302, 7488, 535, 4252, 16874, 27021, 11, 44, 3977, 5616, 12, 25843, 7, 446, 7488, 11, 44, 11469, 10006, 12, 18303, 4532, 11, 44, 11711, 4830, 12, 388, 2175, 37347, 1782, 7, 767, 11, 44, 11711, 2646, 1059, 12, 12311, 21724, 11, 44, 430, 5843, 1800, 12, 2768, 989, 1596, 5, 98, 1307, 1214, 7, 682, 5288, 5, 177, 11, 44, 482, 14774, 8015, 12, 2499, 5287, 8332, 5, 1349, 2287, 11, 44, 17446, 2805, 12, 261, 4027, 38062, 8, 883, 1528, 683, 11646, 11, 44, 430, 13965, 1179, 12, 2768, 25, 308, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 27730, 305, 10421, 20, 4419, 5641, 2047, 4024, 1341, 2568, 11415, 3768, 4476, 453, 7219, 5265, 1961, 20, 39531, 18250, 28953, 3409, 403, 5783, 21135, 20, 135, 2074, 2074, 30760, 299, 11142, 12, 7599, 11, 1740, 887, 2074, 2074, 139, 7, 135, 2074, 2074, 299, 10357, 208, 12, 3818, 11, 2074, 2074, 139, 3818, 4, 9760, 20, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
91,563
42184
[ 5493, 305, 10421, 20, 11507, 5616, 12, 3160, 889, 76, 7, 446, 7488, 11, 44, 5216, 1541, 2529, 12, 33713, 429, 8, 308, 889, 76, 7, 446, 7488, 7, 15, 429, 608, 8, 15, 308, 889, 76, 469, 174, 199, 469, 1224, 7, 30, 446, 7488, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 3972, 5827, 12, 273, 387, 7, 446, 7488, 11, 44, 11711, 2646, 2401, 12, 3302, 7488, 535, 4252, 16874, 27021, 11, 44, 3977, 5616, 12, 25843, 7, 446, 7488, 11, 44, 11469, 10006, 12, 18303, 4532, 11, 44, 11711, 4830, 12, 388, 2175, 37347, 1782, 7, 767, 11, 44, 11711, 2646, 1059, 12, 12311, 21724, 11, 44, 430, 5843, 1800, 12, 2768, 989, 1596, 5, 98, 1307, 1214, 7, 682, 5288, 5, 177, 11, 44, 482, 14774, 8015, 12, 2499, 5287, 8332, 5, 1349, 2287, 11, 44, 17446, 2805, 12, 261, 4027, 38062, 8, 883, 1528, 683, 11646, 11, 44, 430, 13965, 1179, 12, 2768, 25, 308, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 27730, 305, 10421, 20, 4419, 39377, 17369, 1510, 20, 25751, 8, 9879, 4, 6915, 5, 2499, 19972, 15013, 20, 1875, 13183, 8, 8219, 4, 5105, 11461, 20, 23171, 81, 1571, 7909, 30, 3482, 12, 13375, 4054, 30, 34816, 11, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 11507, 5616, 12, 3160, 889, 76, 7, 446, 7488, 11, 44, 5216, 1541, 2529, 12, 33713, 429, 8, 308, 889, 76, 7, 446, 7488, 7, 15, 429, 608, 8, 15, 308, 889, 76, 469, 174, 199, 469, 1224, 7, 30, 446, 7488, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 3972, 5827, 12, 273, 387, 7, 446, 7488, 11, 44, 11711, 2646, 2401, 12, 3302, 7488, 535, 4252, 16874, 27021, 11, 44, 3977, 5616, 12, 25843, 7, 446, 7488, 11, 44, 11469, 10006, 12, 18303, 4532, 11, 44, 11711, 4830, 12, 388, 2175, 37347, 1782, 7, 767, 11, 44, 11711, 2646, 1059, 12, 12311, 21724, 11, 44, 430, 5843, 1800, 12, 2768, 989, 1596, 5, 98, 1307, 1214, 7, 682, 5288, 5, 177, 11, 44, 482, 14774, 8015, 12, 2499, 5287, 8332, 5, 1349, 2287, 11, 44, 17446, 2805, 12, 261, 4027, 38062, 8, 883, 1528, 683, 11646, 11, 44, 430, 13965, 1179, 12, 2768, 25, 308, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 27730, 305, 10421, 20, 4419, 39377, 17369, 1510, 20, 25751, 8, 9879, 4, 6915, 5, 2499, 19972, 15013, 20, 1875, 13183, 8, 8219, 4, 5105, 11461, 20, 23171, 81, 1571, 7909, 30, 3482, 12, 13375, 4054, 30, 34816, 11, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
91,563
42184
[ 5493, 305, 10421, 20, 11507, 5616, 12, 3160, 889, 76, 7, 446, 7488, 11, 44, 5216, 1541, 2529, 12, 33713, 429, 8, 308, 889, 76, 7, 446, 7488, 7, 15, 429, 608, 8, 15, 308, 889, 76, 469, 174, 199, 469, 1224, 7, 30, 446, 7488, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 3972, 5827, 12, 273, 387, 7, 446, 7488, 11, 44, 11711, 2646, 2401, 12, 3302, 7488, 535, 4252, 16874, 27021, 11, 44, 3977, 5616, 12, 25843, 7, 446, 7488, 11, 44, 11469, 10006, 12, 18303, 4532, 11, 44, 11711, 4830, 12, 388, 2175, 37347, 1782, 7, 767, 11, 44, 11711, 2646, 1059, 12, 12311, 21724, 11, 44, 430, 5843, 1800, 12, 2768, 989, 1596, 5, 98, 1307, 1214, 7, 682, 5288, 5, 177, 11, 44, 482, 14774, 8015, 12, 2499, 5287, 8332, 5, 1349, 2287, 11, 44, 17446, 2805, 12, 261, 4027, 38062, 8, 883, 1528, 683, 11646, 11, 44, 430, 13965, 1179, 12, 2768, 25, 308, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 27730, 305, 10421, 20, 4419, 54, 4, 403, 4001, 1832, 2046, 1982, 2493, 3409, 15592, 5641, 2047, 4024, 1341, 20, 5027, 3413, 343, 26822, 14581, 20915, 1984, 2493, 3409, 1799, 18001, 20, 26268, 81, 10, 403, 1702, 7, 41, 25, 403, 4444, 2071, 434, 194, 10149, 1211, 12, 810, 1143, 11, 26332, 6613, 12, 279, 11, 23, 5700, 2750, 14, 262, 135, 2074, 2074, 657, 14400, 9, 85, 9, 348, 2074, 2074, 139, 25013, 30336, 2093, 896, 17671, 135, 4186, 683, 5083, 139, 504, 194, 10149, 2162, 529, 334, 2386, 36, 26332, 6613, 12, 279, 11, 23, 5700, 2750, 14, 262, 6742, 26584, 28205, 135, 8277, 13145, 2037, 139, 434, 25073, 10149, 36, 26332, 6613, 12, 279, 11, 23, 5700, 2750, 14, 262, 135, 2074, 2074, 657, 14400, 9, 40, 9, 198, 2074, 2074, 139, 17122, 135, 22277, 25375, 139, 2464, 194, 10149, 7, 21066, 36, 26332, 6613, 12, 279, 11, 734, 22598, 12588, 82, 1681, 135, 2074, 2074, 657, 13974, 9, 198, 9, 402, 2074, 2074, 139, 25703, 24391, 135, 1907, 5907, 13017, 139, 466, 194, 10149, 7, 1795, 529, 12, 3378, 26, 2061, 11, 15931, 135, 1196, 1212, 30, 139, 219, 194, 10149, 36, 26332, 6613, 12, 279, 11, 23, 5700, 2750, 14, 262, 14153, 24306, 466, 194, 886, 237, 5610, 543, 219, 194, 886, 3157, 22561, 37575, 82, 194, 886, 2697, 237, 2952, 6844, 2940, 20, 26723, 113, 5306, 7, 844, 41, 30955, 3109, 500, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 11507, 5616, 12, 3160, 889, 76, 7, 446, 7488, 11, 44, 5216, 1541, 2529, 12, 33713, 429, 8, 308, 889, 76, 7, 446, 7488, 7, 15, 429, 608, 8, 15, 308, 889, 76, 469, 174, 199, 469, 1224, 7, 30, 446, 7488, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 3972, 5827, 12, 273, 387, 7, 446, 7488, 11, 44, 11711, 2646, 2401, 12, 3302, 7488, 535, 4252, 16874, 27021, 11, 44, 3977, 5616, 12, 25843, 7, 446, 7488, 11, 44, 11469, 10006, 12, 18303, 4532, 11, 44, 11711, 4830, 12, 388, 2175, 37347, 1782, 7, 767, 11, 44, 11711, 2646, 1059, 12, 12311, 21724, 11, 44, 430, 5843, 1800, 12, 2768, 989, 1596, 5, 98, 1307, 1214, 7, 682, 5288, 5, 177, 11, 44, 482, 14774, 8015, 12, 2499, 5287, 8332, 5, 1349, 2287, 11, 44, 17446, 2805, 12, 261, 4027, 38062, 8, 883, 1528, 683, 11646, 11, 44, 430, 13965, 1179, 12, 2768, 25, 308, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 27730, 305, 10421, 20, 4419, 54, 4, 403, 4001, 1832, 2046, 1982, 2493, 3409, 15592, 5641, 2047, 4024, 1341, 20, 5027, 3413, 343, 26822, 14581, 20915, 1984, 2493, 3409, 1799, 18001, 20, 26268, 81, 10, 403, 1702, 7, 41, 25, 403, 4444, 2071, 434, 194, 10149, 1211, 12, 810, 1143, 11, 26332, 6613, 12, 279, 11, 23, 5700, 2750, 14, 262, 135, 2074, 2074, 657, 14400, 9, 85, 9, 348, 2074, 2074, 139, 25013, 30336, 2093, 896, 17671, 135, 4186, 683, 5083, 139, 504, 194, 10149, 2162, 529, 334, 2386, 36, 26332, 6613, 12, 279, 11, 23, 5700, 2750, 14, 262, 6742, 26584, 28205, 135, 8277, 13145, 2037, 139, 434, 25073, 10149, 36, 26332, 6613, 12, 279, 11, 23, 5700, 2750, 14, 262, 135, 2074, 2074, 657, 14400, 9, 40, 9, 198, 2074, 2074, 139, 17122, 135, 22277, 25375, 139, 2464, 194, 10149, 7, 21066, 36, 26332, 6613, 12, 279, 11, 734, 22598, 12588, 82, 1681, 135, 2074, 2074, 657, 13974, 9, 198, 9, 402, 2074, 2074, 139, 25703, 24391, 135, 1907, 5907, 13017, 139, 466, 194, 10149, 7, 1795, 529, 12, 3378, 26, 2061, 11, 15931, 135, 1196, 1212, 30, 139, 219, 194, 10149, 36, 26332, 6613, 12, 279, 11, 23, 5700, 2750, 14, 262, 14153, 24306, 466, 194, 886, 237, 5610, 543, 219, 194, 886, 3157, 22561, 37575, 82, 194, 886, 2697, 237, 2952, 6844, 2940, 20, 26723, 113, 5306, 7, 844, 41, 30955, 3109, 500, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
91,563
42184
[ 5493, 305, 10421, 20, 11507, 5616, 12, 3160, 889, 76, 7, 446, 7488, 11, 44, 5216, 1541, 2529, 12, 33713, 429, 8, 308, 889, 76, 7, 446, 7488, 7, 15, 429, 608, 8, 15, 308, 889, 76, 469, 174, 199, 469, 1224, 7, 30, 446, 7488, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 3972, 5827, 12, 273, 387, 7, 446, 7488, 11, 44, 11711, 2646, 2401, 12, 3302, 7488, 535, 4252, 16874, 27021, 11, 44, 3977, 5616, 12, 25843, 7, 446, 7488, 11, 44, 11469, 10006, 12, 18303, 4532, 11, 44, 11711, 4830, 12, 388, 2175, 37347, 1782, 7, 767, 11, 44, 11711, 2646, 1059, 12, 12311, 21724, 11, 44, 430, 5843, 1800, 12, 2768, 989, 1596, 5, 98, 1307, 1214, 7, 682, 5288, 5, 177, 11, 44, 482, 14774, 8015, 12, 2499, 5287, 8332, 5, 1349, 2287, 11, 44, 17446, 2805, 12, 261, 4027, 38062, 8, 883, 1528, 683, 11646, 11, 44, 430, 13965, 1179, 12, 2768, 25, 308, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 27730, 305, 10421, 20, 4419, 25060, 425, 757, 20, 36, 4, 28953, 3409, 2685, 4628, 8223, 278, 22197, 24004, 20, 185, 5372, 7, 51, 11075, 36166, 7, 51, 10428, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 11507, 5616, 12, 3160, 889, 76, 7, 446, 7488, 11, 44, 5216, 1541, 2529, 12, 33713, 429, 8, 308, 889, 76, 7, 446, 7488, 7, 15, 429, 608, 8, 15, 308, 889, 76, 469, 174, 199, 469, 1224, 7, 30, 446, 7488, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 3972, 5827, 12, 273, 387, 7, 446, 7488, 11, 44, 11711, 2646, 2401, 12, 3302, 7488, 535, 4252, 16874, 27021, 11, 44, 3977, 5616, 12, 25843, 7, 446, 7488, 11, 44, 11469, 10006, 12, 18303, 4532, 11, 44, 11711, 4830, 12, 388, 2175, 37347, 1782, 7, 767, 11, 44, 11711, 2646, 1059, 12, 12311, 21724, 11, 44, 430, 5843, 1800, 12, 2768, 989, 1596, 5, 98, 1307, 1214, 7, 682, 5288, 5, 177, 11, 44, 482, 14774, 8015, 12, 2499, 5287, 8332, 5, 1349, 2287, 11, 44, 17446, 2805, 12, 261, 4027, 38062, 8, 883, 1528, 683, 11646, 11, 44, 430, 13965, 1179, 12, 2768, 25, 308, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 27730, 305, 10421, 20, 4419, 25060, 425, 757, 20, 36, 4, 28953, 3409, 2685, 4628, 8223, 278, 22197, 24004, 20, 185, 5372, 7, 51, 11075, 36166, 7, 51, 10428, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
91,563
42184
[ 5493, 305, 10421, 20, 11507, 5616, 12, 3160, 889, 76, 7, 446, 7488, 11, 44, 5216, 1541, 2529, 12, 33713, 429, 8, 308, 889, 76, 7, 446, 7488, 7, 15, 429, 608, 8, 15, 308, 889, 76, 469, 174, 199, 469, 1224, 7, 30, 446, 7488, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 3972, 5827, 12, 273, 387, 7, 446, 7488, 11, 44, 11711, 2646, 2401, 12, 3302, 7488, 535, 4252, 16874, 27021, 11, 44, 3977, 5616, 12, 25843, 7, 446, 7488, 11, 44, 11469, 10006, 12, 18303, 4532, 11, 44, 11711, 4830, 12, 388, 2175, 37347, 1782, 7, 767, 11, 44, 11711, 2646, 1059, 12, 12311, 21724, 11, 44, 430, 5843, 1800, 12, 2768, 989, 1596, 5, 98, 1307, 1214, 7, 682, 5288, 5, 177, 11, 44, 482, 14774, 8015, 12, 2499, 5287, 8332, 5, 1349, 2287, 11, 44, 17446, 2805, 12, 261, 4027, 38062, 8, 883, 1528, 683, 11646, 11, 44, 430, 13965, 1179, 12, 2768, 25, 308, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 27730, 305, 10421, 20, 4419, 4009, 3650, 3907, 5641, 2047, 4024, 1341, 20, 4009, 3650, 3907, 5641, 2047, 4024, 1341, 237, 21901, 10, 135, 2074, 2074, 18820, 846, 54, 2074, 2074, 139, 1824, 7, 915, 7701, 88, 2151, 25, 5258, 3482, 4, 36, 4787, 135, 2074, 2074, 299, 11142, 12, 13263, 11, 2074, 2074, 139, 135, 2074, 2074, 299, 11142, 12, 13263, 11, 2074, 2074, 139, 396, 10, 3109, 177, 185, 6226, 6446, 20257, 7, 135, 2074, 2074, 54, 9, 880, 2074, 2074, 139, 7255, 636, 992, 113, 7, 13445, 10, 135, 2074, 2074, 657, 9300, 2074, 2074, 139, 185, 668, 1787, 581, 259, 30, 3739, 1356, 106, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 11507, 5616, 12, 3160, 889, 76, 7, 446, 7488, 11, 44, 5216, 1541, 2529, 12, 33713, 429, 8, 308, 889, 76, 7, 446, 7488, 7, 15, 429, 608, 8, 15, 308, 889, 76, 469, 174, 199, 469, 1224, 7, 30, 446, 7488, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 4229, 5827, 12, 2900, 7488, 2007, 8397, 11, 44, 3972, 5827, 12, 273, 387, 7, 446, 7488, 11, 44, 11711, 2646, 2401, 12, 3302, 7488, 535, 4252, 16874, 27021, 11, 44, 3977, 5616, 12, 25843, 7, 446, 7488, 11, 44, 11469, 10006, 12, 18303, 4532, 11, 44, 11711, 4830, 12, 388, 2175, 37347, 1782, 7, 767, 11, 44, 11711, 2646, 1059, 12, 12311, 21724, 11, 44, 430, 5843, 1800, 12, 2768, 989, 1596, 5, 98, 1307, 1214, 7, 682, 5288, 5, 177, 11, 44, 482, 14774, 8015, 12, 2499, 5287, 8332, 5, 1349, 2287, 11, 44, 17446, 2805, 12, 261, 4027, 38062, 8, 883, 1528, 683, 11646, 11, 44, 430, 13965, 1179, 12, 2768, 25, 308, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 11711, 2646, 1083, 12, 12311, 3852, 11, 27730, 305, 10421, 20, 4419, 4009, 3650, 3907, 5641, 2047, 4024, 1341, 20, 4009, 3650, 3907, 5641, 2047, 4024, 1341, 237, 21901, 10, 135, 2074, 2074, 18820, 846, 54, 2074, 2074, 139, 1824, 7, 915, 7701, 88, 2151, 25, 5258, 3482, 4, 36, 4787, 135, 2074, 2074, 299, 11142, 12, 13263, 11, 2074, 2074, 139, 135, 2074, 2074, 299, 11142, 12, 13263, 11, 2074, 2074, 139, 396, 10, 3109, 177, 185, 6226, 6446, 20257, 7, 135, 2074, 2074, 54, 9, 880, 2074, 2074, 139, 7255, 636, 992, 113, 7, 13445, 10, 135, 2074, 2074, 657, 9300, 2074, 2074, 139, 185, 668, 1787, 581, 259, 30, 3739, 1356, 106, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
91,572
40520
[ 5493, 305, 10421, 20, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 8738, 2766, 12, 5674, 2861, 7836, 5, 284, 11, 44, 449, 8870, 2263, 12, 18758, 757, 5, 3020, 119, 11, 44, 1591, 22754, 1869, 12, 3302, 21571, 244, 13, 4806, 9, 383, 2282, 11, 44, 430, 13965, 1083, 12, 2768, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 8738, 1541, 1083, 12, 30393, 507, 5, 2378, 3312, 15, 293, 15958, 7, 15, 2561, 11, 27730, 305, 10421, 20, 4419, 28897, 3031, 1001, 20, 14407, 920, 8594, 13580, 16711, 20, 449, 3272, 5, 12715, 135, 2074, 2074, 32820, 12, 12718, 11, 11507, 2076, 2074, 2074, 139, 26, 135, 2074, 2074, 32820, 12, 12718, 11, 393, 12680, 2074, 2074, 139, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 8738, 2766, 12, 5674, 2861, 7836, 5, 284, 11, 44, 449, 8870, 2263, 12, 18758, 757, 5, 3020, 119, 11, 44, 1591, 22754, 1869, 12, 3302, 21571, 244, 13, 4806, 9, 383, 2282, 11, 44, 430, 13965, 1083, 12, 2768, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 8738, 1541, 1083, 12, 30393, 507, 5, 2378, 3312, 15, 293, 15958, 7, 15, 2561, 11, 27730, 305, 10421, 20, 4419, 28897, 3031, 1001, 20, 14407, 920, 8594, 13580, 16711, 20, 449, 3272, 5, 12715, 135, 2074, 2074, 32820, 12, 12718, 11, 11507, 2076, 2074, 2074, 139, 26, 135, 2074, 2074, 32820, 12, 12718, 11, 393, 12680, 2074, 2074, 139, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
91,572
40520
[ 5493, 305, 10421, 20, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 8738, 2766, 12, 5674, 2861, 7836, 5, 284, 11, 44, 449, 8870, 2263, 12, 18758, 757, 5, 3020, 119, 11, 44, 1591, 22754, 1869, 12, 3302, 21571, 244, 13, 4806, 9, 383, 2282, 11, 44, 430, 13965, 1083, 12, 2768, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 8738, 1541, 1083, 12, 30393, 507, 5, 2378, 3312, 15, 293, 15958, 7, 15, 2561, 11, 27730, 305, 10421, 20, 4419, 14257, 1794, 30328, 20, 36, 4, 28015, 26, 3041, 15, 20, 81, 15368, 81, 21571, 12, 273, 10645, 8, 4814, 10311, 11, 81, 284, 5844, 14722, 471, 13, 32, 403, 4444, 15, 1622, 8, 367, 6668, 5, 15368, 12, 17462, 1421, 353, 7, 2723, 8, 6351, 44, 30158, 8, 1530, 7265, 5, 3626, 2561, 11, 4, 4201, 17, 1387, 16, 13963, 25, 135, 2074, 2074, 116, 9, 85, 2074, 2074, 139, 46, 291, 15654, 11930, 683, 4537, 7485, 8, 14, 5831, 2131, 10, 6, 1750, 1202, 5, 14909, 205, 5773, 232, 30, 10988, 3341, 44, 14, 3374, 17, 2377, 4, 4661, 1728, 11145, 15677, 13, 13777, 9498, 6, 6979, 46, 17, 1924, 25, 135, 2074, 2074, 116, 9, 215, 2074, 2074, 139, 4, 2827, 1233, 4388, 15, 803, 36381, 37248, 8, 12463, 2414, 22229, 260, 4, 572, 2714, 2482, 10009, 7, 2190, 19, 29568, 4, 10177, 7, 6, 125, 14775, 15, 17462, 1421, 1530, 8, 4012, 2633, 111, 8881, 3792, 1072, 11501, 44, 3022, 136, 686, 4388, 211, 16, 25693, 4, 572, 3865, 5, 6, 3876, 284, 5844, 23, 7585, 9755, 8, 119, 5, 8129, 12, 16, 22652, 4796, 10842, 11, 7, 341, 8380, 9, 31468, 399, 7, 8, 15291, 12, 16, 22652, 3368, 3463, 11, 3878, 2750, 4780, 590, 4, 701, 6, 94, 5, 1953, 7, 4529, 311, 44, 81, 2190, 12, 8129, 8, 1210, 2837, 37741, 659, 11, 1786, 8032, 81, 8032, 10, 135, 2074, 2074, 85, 9, 54, 2074, 2074, 139, 405, 81, 2750, 8032, 178, 7, 74, 6, 6979, 15677, 8, 3692, 3374, 71, 33, 2469, 40, 4, 8713, 7, 293, 2839, 7, 3533, 4, 572, 604, 11604, 26133, 17, 22333, 1908, 3804, 2950, 19136, 4, 54, 4, 2768, 437, 608, 4, 9479, 15, 6963, 177, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 8738, 2766, 12, 5674, 2861, 7836, 5, 284, 11, 44, 449, 8870, 2263, 12, 18758, 757, 5, 3020, 119, 11, 44, 1591, 22754, 1869, 12, 3302, 21571, 244, 13, 4806, 9, 383, 2282, 11, 44, 430, 13965, 1083, 12, 2768, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 8738, 1541, 1083, 12, 30393, 507, 5, 2378, 3312, 15, 293, 15958, 7, 15, 2561, 11, 27730, 305, 10421, 20, 4419, 14257, 1794, 30328, 20, 36, 4, 28015, 26, 3041, 15, 20, 81, 15368, 81, 21571, 12, 273, 10645, 8, 4814, 10311, 11, 81, 284, 5844, 14722, 471, 13, 32, 403, 4444, 15, 1622, 8, 367, 6668, 5, 15368, 12, 17462, 1421, 353, 7, 2723, 8, 6351, 44, 30158, 8, 1530, 7265, 5, 3626, 2561, 11, 4, 4201, 17, 1387, 16, 13963, 25, 135, 2074, 2074, 116, 9, 85, 2074, 2074, 139, 46, 291, 15654, 11930, 683, 4537, 7485, 8, 14, 5831, 2131, 10, 6, 1750, 1202, 5, 14909, 205, 5773, 232, 30, 10988, 3341, 44, 14, 3374, 17, 2377, 4, 4661, 1728, 11145, 15677, 13, 13777, 9498, 6, 6979, 46, 17, 1924, 25, 135, 2074, 2074, 116, 9, 215, 2074, 2074, 139, 4, 2827, 1233, 4388, 15, 803, 36381, 37248, 8, 12463, 2414, 22229, 260, 4, 572, 2714, 2482, 10009, 7, 2190, 19, 29568, 4, 10177, 7, 6, 125, 14775, 15, 17462, 1421, 1530, 8, 4012, 2633, 111, 8881, 3792, 1072, 11501, 44, 3022, 136, 686, 4388, 211, 16, 25693, 4, 572, 3865, 5, 6, 3876, 284, 5844, 23, 7585, 9755, 8, 119, 5, 8129, 12, 16, 22652, 4796, 10842, 11, 7, 341, 8380, 9, 31468, 399, 7, 8, 15291, 12, 16, 22652, 3368, 3463, 11, 3878, 2750, 4780, 590, 4, 701, 6, 94, 5, 1953, 7, 4529, 311, 44, 81, 2190, 12, 8129, 8, 1210, 2837, 37741, 659, 11, 1786, 8032, 81, 8032, 10, 135, 2074, 2074, 85, 9, 54, 2074, 2074, 139, 405, 81, 2750, 8032, 178, 7, 74, 6, 6979, 15677, 8, 3692, 3374, 71, 33, 2469, 40, 4, 8713, 7, 293, 2839, 7, 3533, 4, 572, 604, 11604, 26133, 17, 22333, 1908, 3804, 2950, 19136, 4, 54, 4, 2768, 437, 608, 4, 9479, 15, 6963, 177, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
91,572
40520
[ 5493, 305, 10421, 20, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 8738, 2766, 12, 5674, 2861, 7836, 5, 284, 11, 44, 449, 8870, 2263, 12, 18758, 757, 5, 3020, 119, 11, 44, 1591, 22754, 1869, 12, 3302, 21571, 244, 13, 4806, 9, 383, 2282, 11, 44, 430, 13965, 1083, 12, 2768, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 8738, 1541, 1083, 12, 30393, 507, 5, 2378, 3312, 15, 293, 15958, 7, 15, 2561, 11, 27730, 305, 10421, 20, 4419, 7728, 3673, 30, 15031, 27730, 20, 13963, 15, 3051, 5, 14, 3692, 3374, 12, 135, 2074, 2074, 657, 13564, 9, 116, 9, 85, 2074, 2074, 139, 11, 321, 7421, 638, 3051, 12, 135, 2074, 2074, 657, 13564, 9, 116, 9, 116, 2074, 2074, 139, 11, 23790, 3344, 806, 36283, 23768, 9537, 15677, 12, 135, 2074, 2074, 657, 13564, 9, 116, 9, 215, 2074, 2074, 139, 11, 261, 15981, 118, 5, 284, 5844, 23, 7585, 9755, 12, 135, 2074, 2074, 657, 13564, 9, 116, 9, 465, 2074, 2074, 139, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 8738, 2766, 12, 5674, 2861, 7836, 5, 284, 11, 44, 449, 8870, 2263, 12, 18758, 757, 5, 3020, 119, 11, 44, 1591, 22754, 1869, 12, 3302, 21571, 244, 13, 4806, 9, 383, 2282, 11, 44, 430, 13965, 1083, 12, 2768, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 8738, 1541, 1083, 12, 30393, 507, 5, 2378, 3312, 15, 293, 15958, 7, 15, 2561, 11, 27730, 305, 10421, 20, 4419, 7728, 3673, 30, 15031, 27730, 20, 13963, 15, 3051, 5, 14, 3692, 3374, 12, 135, 2074, 2074, 657, 13564, 9, 116, 9, 85, 2074, 2074, 139, 11, 321, 7421, 638, 3051, 12, 135, 2074, 2074, 657, 13564, 9, 116, 9, 116, 2074, 2074, 139, 11, 23790, 3344, 806, 36283, 23768, 9537, 15677, 12, 135, 2074, 2074, 657, 13564, 9, 116, 9, 215, 2074, 2074, 139, 11, 261, 15981, 118, 5, 284, 5844, 23, 7585, 9755, 12, 135, 2074, 2074, 657, 13564, 9, 116, 9, 465, 2074, 2074, 139, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
91,572
40520
[ 5493, 305, 10421, 20, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 8738, 2766, 12, 5674, 2861, 7836, 5, 284, 11, 44, 449, 8870, 2263, 12, 18758, 757, 5, 3020, 119, 11, 44, 1591, 22754, 1869, 12, 3302, 21571, 244, 13, 4806, 9, 383, 2282, 11, 44, 430, 13965, 1083, 12, 2768, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 8738, 1541, 1083, 12, 30393, 507, 5, 2378, 3312, 15, 293, 15958, 7, 15, 2561, 11, 27730, 305, 10421, 20, 4419, 28897, 20350, 4036, 20, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 8738, 2766, 12, 5674, 2861, 7836, 5, 284, 11, 44, 449, 8870, 2263, 12, 18758, 757, 5, 3020, 119, 11, 44, 1591, 22754, 1869, 12, 3302, 21571, 244, 13, 4806, 9, 383, 2282, 11, 44, 430, 13965, 1083, 12, 2768, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 8738, 1541, 1083, 12, 30393, 507, 5, 2378, 3312, 15, 293, 15958, 7, 15, 2561, 11, 27730, 305, 10421, 20, 4419, 28897, 20350, 4036, 20, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
91,572
40520
[ 5493, 305, 10421, 20, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 8738, 2766, 12, 5674, 2861, 7836, 5, 284, 11, 44, 449, 8870, 2263, 12, 18758, 757, 5, 3020, 119, 11, 44, 1591, 22754, 1869, 12, 3302, 21571, 244, 13, 4806, 9, 383, 2282, 11, 44, 430, 13965, 1083, 12, 2768, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 8738, 1541, 1083, 12, 30393, 507, 5, 2378, 3312, 15, 293, 15958, 7, 15, 2561, 11, 27730, 305, 10421, 20, 4419, 3246, 38086, 605, 20, 13963, 12, 135, 2074, 2074, 657, 13564, 9, 116, 9, 85, 2074, 2074, 139, 11, 18, 310, 2378, 3312, 7, 310, 1072, 3312, 7, 702, 8, 491, 1072, 9378, 7, 3626, 3233, 8645, 8, 3184, 3312, 19, 5298, 15, 476, 8, 126, 7881, 4, 18, 912, 8, 26294, 5, 6, 788, 31, 175, 15, 102, 248, 5, 10988, 3341, 4, 271, 17, 14, 5831, 2131, 10, 6, 1750, 1202, 5, 6, 310, 2378, 3312, 4, 56, 181, 1676, 5773, 2266, 30, 13275, 4, 18, 5339, 28652, 12492, 1568, 175, 7, 61, 6, 19734, 4953, 17, 727, 244, 13, 14, 304, 1109, 5, 476, 793, 244, 13, 6, 125, 121, 3041, 29, 15368, 4, 8568, 3051, 5, 14, 3692, 3626, 3374, 16, 7400, 4, 34073, 175, 8967, 110, 13, 1202, 672, 5, 6, 9691, 621, 2935, 5181, 25190, 12, 135, 2074, 2074, 657, 13564, 9, 116, 9, 85, 2074, 2074, 139, 11, 36, 4, 13328, 192, 14, 13801, 8740, 7129, 6979, 15, 73, 1637, 5413, 22119, 23563, 2414, 23592, 21, 5455, 15, 293, 15958, 7, 15, 663, 1146, 5, 14, 1741, 9, 2442, 4175, 4, 40, 4, 17352, 1891, 17147, 8, 2847, 9, 802, 2917, 5942, 10, 6, 491, 3820, 5, 6, 284, 31, 2762, 16, 234, 15, 1096, 1072, 11501, 7, 663, 809, 13, 7782, 15368, 4, 54, 4, 14945, 14850, 10, 6, 427, 5, 6, 1666, 310, 2378, 3312, 181, 33, 192, 6, 5478, 5, 6, 3312, 7, 905, 181, 72, 33, 192, 6, 1414, 1098, 4, 1360, 536, 181, 33, 178, 15, 4012, 2633, 7, 598, 1271, 628, 4, 85, 4, 12801, 2800, 8874, 7, 41, 1649, 667, 4, 82, 4, 15383, 9, 802, 2917, 4576, 284, 496, 31, 663, 1052, 4243, 7, 27, 532, 1316, 4, 36321, 313, 2435, 6278, 237, 28083, 12, 135, 2074, 2074, 657, 13564, 9, 116, 9, 580, 2074, 2074, 139, 11, 12021, 9, 5003, 7074, 9, 1057, 1368, 2074, 15850, 787, 9, 11917, 2074, 313, 23487, 9, 678, 4311, 2074, 27484, 9, 2487, 25159, 9, 30111, 286, 21765, 9, 678, 3814, 29215, 9, 16103, 4752, 527, 305, 527, 9, 28358, 9517, 9, 7637, 2074, 16432, 806, 190, 9, 208, 9261, 34, 9, 1998, 1491, 9, 10590, 473, 9, 4400, 2989, 9, 6656, 21967, 9, 991, 1955, 31453, 9, 274, 230, 5783, 10097, 7560, 9, 1837, 2074, 9275, 9, 1800, 2074, 4424, 12, 7234, 11, 8988, 953, 18230, 17497, 279, 9, 1608, 38460, 21960, 390, 9, 3010, 230, 5783, 10097, 11138, 8872, 27680, 12, 135, 2074, 2074, 657, 13564, 9, 116, 9, 85, 2074, 2074, 139, 11, 20, 5388, 706, 230, 5783, 10097, 11138, 8872, 27680, 12, 135, 2074, 2074, 657, 13564, 9, 116, 9, 91, 2074, 2074, 139, 11, 273, 31500, 2818, 2807, 26848, 32104, 12, 283, 11, 4, 9551, 2807, 2047, 17772, 28549, 3153, 403, 12693, 453, 3409, 20893, 780, 14958, 453, 7219, 1510, 2844, 3083, 453, 2940, 4, 230, 4480, 316, 11138, 8872, 27680, 12, 135, 2074, 2074, 657, 13564, 9, 116, 9, 215, 2074, 2074, 139, 11, 13185, 5331, 2807, 9971, 3479, 321, 5265, 715, 33050, 453, 5338, 22192, 13185, 5331, 2807, 9971, 3479, 12238, 1015, 7683, 2068, 22192, 22192, 2888, 321, 3340, 4480, 4074, 190, 26, 31913, 14958, 287, 2888, 4783, 109, 43, 40, 283, 208, 283, 4773, 9665, 1196, 403, 23898, 17492, 17492, 17492, 81, 109, 43, 85, 283, 479, 174, 4773, 10449, 3597, 2493, 17492, 17492, 17492, 4783, 109, 43, 36, 283, 109, 43, 36, 283, 4773, 278, 4062, 1196, 453, 3409, 2493, 17492, 17492, 1659, 81, 109, 43, 36, 283, 109, 43, 36, 283, 4773, 278, 19307, 388, 1175, 5222, 343, 17492, 17492, 1659, 81, 109, 43, 36, 283, 109, 43, 36, 283, 3650, 7781, 278, 5783, 1175, 2008, 3190, 17492, 17492, 81, 109, 43, 4839, 283, 109, 43, 4839, 283, 21914, 287, 2888, 3340, 3190, 17492, 17492, 1659, 4783, 109, 43, 36, 283, 109, 43, 36, 283, 2493, 3916, 2954, 299, 4809, 17492, 17492, 17492, 81, 109, 43, 4839, 283, 109, 43, 4839, 283, 3597, 16755, 2008, 4480, 4074, 190, 26, 4062, 1196, 403, 17492, 81, 283, 283, 287, 6748, 269, 2888, 1015, 17360, 17492, 17492, 1659, 4783, 109, 43, 36, 283, 109, 43, 36, 283, 19307, 38840, 2873, 7325, 26, 31913, 9665, 1659, 4783, 109, 43, 36, 283, 109, 43, 36, 283, 3413, 7066, 3916, 230, 3420, 11138, 8872, 27680, 12, 18812, 135, 2074, 2074, 657, 13564, 9, 116, 9, 402, 2074, 2074, 139, 11, 20, 3153, 403, 12693, 453, 3409, 20893, 16755, 10252, 3190, 21914, 283, 4, 28185, 2552, 273, 3916, 629, 5834, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 8738, 2766, 12, 5674, 2861, 7836, 5, 284, 11, 44, 449, 8870, 2263, 12, 18758, 757, 5, 3020, 119, 11, 44, 1591, 22754, 1869, 12, 3302, 21571, 244, 13, 4806, 9, 383, 2282, 11, 44, 430, 13965, 1083, 12, 2768, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 8738, 1541, 1083, 12, 30393, 507, 5, 2378, 3312, 15, 293, 15958, 7, 15, 2561, 11, 27730, 305, 10421, 20, 4419, 3246, 38086, 605, 20, 13963, 12, 135, 2074, 2074, 657, 13564, 9, 116, 9, 85, 2074, 2074, 139, 11, 18, 310, 2378, 3312, 7, 310, 1072, 3312, 7, 702, 8, 491, 1072, 9378, 7, 3626, 3233, 8645, 8, 3184, 3312, 19, 5298, 15, 476, 8, 126, 7881, 4, 18, 912, 8, 26294, 5, 6, 788, 31, 175, 15, 102, 248, 5, 10988, 3341, 4, 271, 17, 14, 5831, 2131, 10, 6, 1750, 1202, 5, 6, 310, 2378, 3312, 4, 56, 181, 1676, 5773, 2266, 30, 13275, 4, 18, 5339, 28652, 12492, 1568, 175, 7, 61, 6, 19734, 4953, 17, 727, 244, 13, 14, 304, 1109, 5, 476, 793, 244, 13, 6, 125, 121, 3041, 29, 15368, 4, 8568, 3051, 5, 14, 3692, 3626, 3374, 16, 7400, 4, 34073, 175, 8967, 110, 13, 1202, 672, 5, 6, 9691, 621, 2935, 5181, 25190, 12, 135, 2074, 2074, 657, 13564, 9, 116, 9, 85, 2074, 2074, 139, 11, 36, 4, 13328, 192, 14, 13801, 8740, 7129, 6979, 15, 73, 1637, 5413, 22119, 23563, 2414, 23592, 21, 5455, 15, 293, 15958, 7, 15, 663, 1146, 5, 14, 1741, 9, 2442, 4175, 4, 40, 4, 17352, 1891, 17147, 8, 2847, 9, 802, 2917, 5942, 10, 6, 491, 3820, 5, 6, 284, 31, 2762, 16, 234, 15, 1096, 1072, 11501, 7, 663, 809, 13, 7782, 15368, 4, 54, 4, 14945, 14850, 10, 6, 427, 5, 6, 1666, 310, 2378, 3312, 181, 33, 192, 6, 5478, 5, 6, 3312, 7, 905, 181, 72, 33, 192, 6, 1414, 1098, 4, 1360, 536, 181, 33, 178, 15, 4012, 2633, 7, 598, 1271, 628, 4, 85, 4, 12801, 2800, 8874, 7, 41, 1649, 667, 4, 82, 4, 15383, 9, 802, 2917, 4576, 284, 496, 31, 663, 1052, 4243, 7, 27, 532, 1316, 4, 36321, 313, 2435, 6278, 237, 28083, 12, 135, 2074, 2074, 657, 13564, 9, 116, 9, 580, 2074, 2074, 139, 11, 12021, 9, 5003, 7074, 9, 1057, 1368, 2074, 15850, 787, 9, 11917, 2074, 313, 23487, 9, 678, 4311, 2074, 27484, 9, 2487, 25159, 9, 30111, 286, 21765, 9, 678, 3814, 29215, 9, 16103, 4752, 527, 305, 527, 9, 28358, 9517, 9, 7637, 2074, 16432, 806, 190, 9, 208, 9261, 34, 9, 1998, 1491, 9, 10590, 473, 9, 4400, 2989, 9, 6656, 21967, 9, 991, 1955, 31453, 9, 274, 230, 5783, 10097, 7560, 9, 1837, 2074, 9275, 9, 1800, 2074, 4424, 12, 7234, 11, 8988, 953, 18230, 17497, 279, 9, 1608, 38460, 21960, 390, 9, 3010, 230, 5783, 10097, 11138, 8872, 27680, 12, 135, 2074, 2074, 657, 13564, 9, 116, 9, 85, 2074, 2074, 139, 11, 20, 5388, 706, 230, 5783, 10097, 11138, 8872, 27680, 12, 135, 2074, 2074, 657, 13564, 9, 116, 9, 91, 2074, 2074, 139, 11, 273, 31500, 2818, 2807, 26848, 32104, 12, 283, 11, 4, 9551, 2807, 2047, 17772, 28549, 3153, 403, 12693, 453, 3409, 20893, 780, 14958, 453, 7219, 1510, 2844, 3083, 453, 2940, 4, 230, 4480, 316, 11138, 8872, 27680, 12, 135, 2074, 2074, 657, 13564, 9, 116, 9, 215, 2074, 2074, 139, 11, 13185, 5331, 2807, 9971, 3479, 321, 5265, 715, 33050, 453, 5338, 22192, 13185, 5331, 2807, 9971, 3479, 12238, 1015, 7683, 2068, 22192, 22192, 2888, 321, 3340, 4480, 4074, 190, 26, 31913, 14958, 287, 2888, 4783, 109, 43, 40, 283, 208, 283, 4773, 9665, 1196, 403, 23898, 17492, 17492, 17492, 81, 109, 43, 85, 283, 479, 174, 4773, 10449, 3597, 2493, 17492, 17492, 17492, 4783, 109, 43, 36, 283, 109, 43, 36, 283, 4773, 278, 4062, 1196, 453, 3409, 2493, 17492, 17492, 1659, 81, 109, 43, 36, 283, 109, 43, 36, 283, 4773, 278, 19307, 388, 1175, 5222, 343, 17492, 17492, 1659, 81, 109, 43, 36, 283, 109, 43, 36, 283, 3650, 7781, 278, 5783, 1175, 2008, 3190, 17492, 17492, 81, 109, 43, 4839, 283, 109, 43, 4839, 283, 21914, 287, 2888, 3340, 3190, 17492, 17492, 1659, 4783, 109, 43, 36, 283, 109, 43, 36, 283, 2493, 3916, 2954, 299, 4809, 17492, 17492, 17492, 81, 109, 43, 4839, 283, 109, 43, 4839, 283, 3597, 16755, 2008, 4480, 4074, 190, 26, 4062, 1196, 403, 17492, 81, 283, 283, 287, 6748, 269, 2888, 1015, 17360, 17492, 17492, 1659, 4783, 109, 43, 36, 283, 109, 43, 36, 283, 19307, 38840, 2873, 7325, 26, 31913, 9665, 1659, 4783, 109, 43, 36, 283, 109, 43, 36, 283, 3413, 7066, 3916, 230, 3420, 11138, 8872, 27680, 12, 18812, 135, 2074, 2074, 657, 13564, 9, 116, 9, 402, 2074, 2074, 139, 11, 20, 3153, 403, 12693, 453, 3409, 20893, 16755, 10252, 3190, 21914, 283, 4, 28185, 2552, 273, 3916, 629, 5834, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
91,572
40520
[ 5493, 305, 10421, 20, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 8738, 2766, 12, 5674, 2861, 7836, 5, 284, 11, 44, 449, 8870, 2263, 12, 18758, 757, 5, 3020, 119, 11, 44, 1591, 22754, 1869, 12, 3302, 21571, 244, 13, 4806, 9, 383, 2282, 11, 44, 430, 13965, 1083, 12, 2768, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 8738, 1541, 1083, 12, 30393, 507, 5, 2378, 3312, 15, 293, 15958, 7, 15, 2561, 11, 27730, 305, 10421, 20, 4419, 12982, 10440, 160, 1223, 12748, 2267, 20, 4469, 20, 21914, 2952, 3907, 4706, 12818, 2952, 1341, 26, 135, 2074, 2074, 1794, 10021, 299, 11142, 657, 14603, 2074, 2074, 139, 845, 20, 11156, 343, 6123, 388, 1341, 135, 2074, 2074, 657, 13564, 9, 116, 9, 434, 2074, 2074, 139, 34, 85, 20, 274, 3417, 920, 20, 2008, 10264, 316, 1799, 7934, 38223, 3420, 135, 2074, 2074, 9886, 36169, 26, 278, 7327, 12, 36, 11, 4005, 1870, 2074, 2074, 139, 21804, 20, 7698, 135, 2074, 2074, 1794, 629, 4585, 299, 11142, 2074, 2074, 139, 14241, 683, 454, 12, 135, 2074, 2074, 30760, 299, 11142, 12, 299, 10357, 37308, 36, 11, 2074, 2074, 139, 11, 135, 2074, 2074, 32820, 12, 12718, 11, 2074, 2074, 139, 25925, 507, 20, 629, 17406, 20360, 3587, 3432, 20, 135, 2074, 2074, 1794, 629, 4585, 299, 11142, 2074, 2074, 139, 23199, 118, 4469, 20, 3190, 278, 3083, 3598, 403, 1510, 3409, 3768, 26301, 845, 20, 4001, 6458, 6123, 388, 1341, 135, 2074, 2074, 657, 13564, 9, 116, 9, 1031, 2074, 2074, 139, 34, 54, 20, 91, 3417, 920, 20, 135, 2074, 2074, 15122, 4148, 3247, 299, 11142, 2106, 198, 2074, 2074, 139, 135, 2074, 2074, 299, 11142, 7397, 12, 3818, 11, 2074, 2074, 139, 135, 2074, 2074, 299, 10357, 208, 12, 3818, 11, 2106, 465, 2074, 2074, 139, 7, 15749, 15779, 135, 2074, 2074, 9886, 36169, 26, 278, 7327, 12, 36, 11, 430, 1841, 2074, 2074, 139, 21804, 20, 7698, 135, 2074, 2074, 1794, 10021, 299, 11142, 2074, 2074, 139, 135, 2074, 2074, 1794, 2106, 777, 2074, 2074, 139, 25925, 507, 20, 629, 17406, 20360, 3587, 3432, 20, 135, 2074, 2074, 1794, 629, 4585, 299, 11142, 2074, 2074, 139, 23199, 118, 4469, 20, 4359, 13376, 4706, 7043, 2940, 845, 20, 11156, 343, 6123, 388, 1341, 135, 2074, 2074, 657, 13564, 9, 215, 9, 40, 2074, 2074, 139, 34, 198, 20, 4094, 3417, 4469, 20, 3409, 273, 9332, 26848, 3409, 3768, 26301, 24325, 31275, 845, 20, 11156, 343, 6123, 388, 1341, 135, 2074, 2074, 657, 13564, 9, 215, 9, 40, 2074, 2074, 139, 34, 198, 20, 4094, 3417, 920, 20, 135, 2074, 2074, 3247, 299, 10357, 402, 12, 299, 11142, 37308, 36, 11, 2074, 2074, 139, 135, 2074, 2074, 30760, 299, 11142, 12, 299, 10357, 37308, 36, 11, 3977, 1520, 2074, 2074, 139, 7, 3818, 135, 2074, 2074, 9886, 36169, 26, 278, 7327, 12, 36, 11, 430, 1837, 2074, 2074, 139, 21804, 20, 135, 2074, 2074, 3247, 299, 10357, 208, 12, 299, 10357, 37308, 40, 11, 2074, 2074, 139, 135, 2074, 2074, 1794, 629, 4585, 299, 11142, 24960, 2074, 2074, 139, 21804, 12, 135, 2074, 2074, 1794, 629, 4585, 299, 11142, 1940, 991, 2074, 2074, 139, 26, 135, 2074, 2074, 1794, 629, 4585, 299, 11142, 1940, 1031, 2074, 2074, 139, 8615, 11, 135, 2074, 2074, 32820, 12, 12718, 11, 1593, 1800, 2074, 2074, 139, 25925, 507, 20, 343, 9275, 20360, 3587, 3432, 20, 11175, 23199, 118, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 8738, 2766, 12, 5674, 2861, 7836, 5, 284, 11, 44, 449, 8870, 2263, 12, 18758, 757, 5, 3020, 119, 11, 44, 1591, 22754, 1869, 12, 3302, 21571, 244, 13, 4806, 9, 383, 2282, 11, 44, 430, 13965, 1083, 12, 2768, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 8738, 1541, 1083, 12, 30393, 507, 5, 2378, 3312, 15, 293, 15958, 7, 15, 2561, 11, 27730, 305, 10421, 20, 4419, 12982, 10440, 160, 1223, 12748, 2267, 20, 4469, 20, 21914, 2952, 3907, 4706, 12818, 2952, 1341, 26, 135, 2074, 2074, 1794, 10021, 299, 11142, 657, 14603, 2074, 2074, 139, 845, 20, 11156, 343, 6123, 388, 1341, 135, 2074, 2074, 657, 13564, 9, 116, 9, 434, 2074, 2074, 139, 34, 85, 20, 274, 3417, 920, 20, 2008, 10264, 316, 1799, 7934, 38223, 3420, 135, 2074, 2074, 9886, 36169, 26, 278, 7327, 12, 36, 11, 4005, 1870, 2074, 2074, 139, 21804, 20, 7698, 135, 2074, 2074, 1794, 629, 4585, 299, 11142, 2074, 2074, 139, 14241, 683, 454, 12, 135, 2074, 2074, 30760, 299, 11142, 12, 299, 10357, 37308, 36, 11, 2074, 2074, 139, 11, 135, 2074, 2074, 32820, 12, 12718, 11, 2074, 2074, 139, 25925, 507, 20, 629, 17406, 20360, 3587, 3432, 20, 135, 2074, 2074, 1794, 629, 4585, 299, 11142, 2074, 2074, 139, 23199, 118, 4469, 20, 3190, 278, 3083, 3598, 403, 1510, 3409, 3768, 26301, 845, 20, 4001, 6458, 6123, 388, 1341, 135, 2074, 2074, 657, 13564, 9, 116, 9, 1031, 2074, 2074, 139, 34, 54, 20, 91, 3417, 920, 20, 135, 2074, 2074, 15122, 4148, 3247, 299, 11142, 2106, 198, 2074, 2074, 139, 135, 2074, 2074, 299, 11142, 7397, 12, 3818, 11, 2074, 2074, 139, 135, 2074, 2074, 299, 10357, 208, 12, 3818, 11, 2106, 465, 2074, 2074, 139, 7, 15749, 15779, 135, 2074, 2074, 9886, 36169, 26, 278, 7327, 12, 36, 11, 430, 1841, 2074, 2074, 139, 21804, 20, 7698, 135, 2074, 2074, 1794, 10021, 299, 11142, 2074, 2074, 139, 135, 2074, 2074, 1794, 2106, 777, 2074, 2074, 139, 25925, 507, 20, 629, 17406, 20360, 3587, 3432, 20, 135, 2074, 2074, 1794, 629, 4585, 299, 11142, 2074, 2074, 139, 23199, 118, 4469, 20, 4359, 13376, 4706, 7043, 2940, 845, 20, 11156, 343, 6123, 388, 1341, 135, 2074, 2074, 657, 13564, 9, 215, 9, 40, 2074, 2074, 139, 34, 198, 20, 4094, 3417, 4469, 20, 3409, 273, 9332, 26848, 3409, 3768, 26301, 24325, 31275, 845, 20, 11156, 343, 6123, 388, 1341, 135, 2074, 2074, 657, 13564, 9, 215, 9, 40, 2074, 2074, 139, 34, 198, 20, 4094, 3417, 920, 20, 135, 2074, 2074, 3247, 299, 10357, 402, 12, 299, 11142, 37308, 36, 11, 2074, 2074, 139, 135, 2074, 2074, 30760, 299, 11142, 12, 299, 10357, 37308, 36, 11, 3977, 1520, 2074, 2074, 139, 7, 3818, 135, 2074, 2074, 9886, 36169, 26, 278, 7327, 12, 36, 11, 430, 1837, 2074, 2074, 139, 21804, 20, 135, 2074, 2074, 3247, 299, 10357, 208, 12, 299, 10357, 37308, 40, 11, 2074, 2074, 139, 135, 2074, 2074, 1794, 629, 4585, 299, 11142, 24960, 2074, 2074, 139, 21804, 12, 135, 2074, 2074, 1794, 629, 4585, 299, 11142, 1940, 991, 2074, 2074, 139, 26, 135, 2074, 2074, 1794, 629, 4585, 299, 11142, 1940, 1031, 2074, 2074, 139, 8615, 11, 135, 2074, 2074, 32820, 12, 12718, 11, 1593, 1800, 2074, 2074, 139, 25925, 507, 20, 343, 9275, 20360, 3587, 3432, 20, 11175, 23199, 118, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
91,572
40520
[ 5493, 305, 10421, 20, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 8738, 2766, 12, 5674, 2861, 7836, 5, 284, 11, 44, 449, 8870, 2263, 12, 18758, 757, 5, 3020, 119, 11, 44, 1591, 22754, 1869, 12, 3302, 21571, 244, 13, 4806, 9, 383, 2282, 11, 44, 430, 13965, 1083, 12, 2768, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 8738, 1541, 1083, 12, 30393, 507, 5, 2378, 3312, 15, 293, 15958, 7, 15, 2561, 11, 27730, 305, 10421, 20, 4419, 6827, 17246, 20, 668, 525, 757, 5, 3626, 30, 1072, 76, 7, 20006, 7, 4375, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 8738, 2766, 12, 5674, 2861, 7836, 5, 284, 11, 44, 449, 8870, 2263, 12, 18758, 757, 5, 3020, 119, 11, 44, 1591, 22754, 1869, 12, 3302, 21571, 244, 13, 4806, 9, 383, 2282, 11, 44, 430, 13965, 1083, 12, 2768, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 8738, 1541, 1083, 12, 30393, 507, 5, 2378, 3312, 15, 293, 15958, 7, 15, 2561, 11, 27730, 305, 10421, 20, 4419, 6827, 17246, 20, 668, 525, 757, 5, 3626, 30, 1072, 76, 7, 20006, 7, 4375, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
91,572
40520
[ 5493, 305, 10421, 20, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 8738, 2766, 12, 5674, 2861, 7836, 5, 284, 11, 44, 449, 8870, 2263, 12, 18758, 757, 5, 3020, 119, 11, 44, 1591, 22754, 1869, 12, 3302, 21571, 244, 13, 4806, 9, 383, 2282, 11, 44, 430, 13965, 1083, 12, 2768, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 8738, 1541, 1083, 12, 30393, 507, 5, 2378, 3312, 15, 293, 15958, 7, 15, 2561, 11, 27730, 305, 10421, 20, 4419, 36321, 313, 2435, 6278, 2493, 3409, 1799, 18001, 20, 926, 4, 28368, 466, 194, 26332, 6613, 5799, 454, 20, 810, 12, 36, 11, 26332, 6613, 6885, 2750, 14, 262, 4, 28660, 26268, 434, 194, 26332, 6613, 5799, 454, 20, 810, 12, 36, 11, 26332, 6613, 6885, 2750, 14, 262, 4, 31590, 704, 23164, 19955, 91, 194, 26332, 6613, 5799, 454, 20, 810, 12, 36, 11, 26332, 6613, 6885, 2750, 14, 262, 4, 430, 4, 1210, 10285, 35802, 36, 4806, 7433, 25, 9012, 169, 5799, 454, 20, 810, 12, 36, 11, 4806, 13856, 2750, 14, 262, 16, 85, 405, 4, 3031, 110, 20, 2074, 2717, 279, 194, 2074, 1719, 24044, 20, 2074, 583, 2074, 351, 4, 8129, 2157, 194, 7433, 25, 9012, 169, 5799, 454, 20, 1740, 297, 12, 1740, 297, 11, 194, 10613, 1421, 1740, 354, 12, 20143, 198, 313, 12627, 11, 16, 85, 405, 4, 3031, 110, 20, 2074, 135, 2074, 2074, 37033, 1047, 12288, 18566, 2074, 2074, 139, 194, 2074, 1719, 24044, 20, 2074, 583, 2074, 116, 4, 22471, 31951, 13840, 135, 2074, 2074, 657, 13564, 9, 116, 9, 334, 2074, 2074, 139, 81, 550, 13, 19594, 135, 2074, 2074, 30760, 299, 11142, 12, 2047, 1432, 4043, 11, 25904, 1933, 2074, 2074, 139, 12, 8844, 543, 135, 2074, 2074, 9886, 36169, 26, 278, 7327, 12, 36, 11, 2103, 440, 274, 2074, 2074, 139, 11, 17820, 26402, 14833, 20365, 4173, 34660, 15, 613, 9131, 11000, 215, 215, 4, 22471, 31951, 13840, 135, 2074, 2074, 657, 13564, 9, 215, 9, 40, 2074, 2074, 139, 81, 550, 13, 19594, 135, 2074, 2074, 30760, 299, 11142, 12, 2047, 1432, 4043, 11, 25904, 1933, 2074, 2074, 139, 12, 8844, 543, 135, 2074, 2074, 9886, 36169, 26, 278, 7327, 12, 36, 11, 2103, 440, 274, 2074, 2074, 139, 11, 17820, 26402, 14833, 20365, 4173, 34660, 15, 613, 9131, 11000, 215, 208, 4, 22471, 31951, 13840, 135, 2074, 2074, 657, 13564, 9, 215, 9, 208, 2074, 2074, 139, 81, 550, 13, 19594, 135, 2074, 2074, 30760, 299, 11142, 12, 2047, 1432, 4043, 11, 25904, 1933, 2074, 2074, 139, 12, 8844, 543, 135, 2074, 2074, 9886, 36169, 26, 278, 7327, 12, 36, 11, 2103, 440, 274, 2074, 2074, 139, 11, 17820, 26402, 14833, 20365, 4173, 34660, 15, 613, 9131, 11000, 215, 348, 4, 22471, 31951, 13840, 135, 2074, 2074, 657, 13564, 9, 215, 9, 274, 2074, 2074, 139, 81, 550, 13, 19594, 135, 2074, 2074, 30760, 299, 11142, 12, 2047, 1432, 4043, 11, 25904, 1933, 2074, 2074, 139, 12, 8844, 543, 135, 2074, 2074, 9886, 36169, 26, 278, 7327, 12, 36, 11, 2103, 440, 274, 2074, 2074, 139, 11, 17820, 26402, 14833, 20365, 4173, 34660, 15, 613, 9131, 11000, 215, 1266, 4, 32135, 82, 194, 26332, 6613, 5799, 454, 20, 810, 12, 36, 11, 26332, 6613, 6885, 1873, 1061, 12, 208, 11, 866, 27, 1003, 16, 353, 4, 3031, 110, 20, 2074, 219, 26332, 6613, 12, 279, 11, 2074, 1719, 24044, 20, 2074, 583, 2074, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 8738, 2766, 12, 5674, 2861, 7836, 5, 284, 11, 44, 449, 8870, 2263, 12, 18758, 757, 5, 3020, 119, 11, 44, 1591, 22754, 1869, 12, 3302, 21571, 244, 13, 4806, 9, 383, 2282, 11, 44, 430, 13965, 1083, 12, 2768, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 8738, 1541, 1083, 12, 30393, 507, 5, 2378, 3312, 15, 293, 15958, 7, 15, 2561, 11, 27730, 305, 10421, 20, 4419, 36321, 313, 2435, 6278, 2493, 3409, 1799, 18001, 20, 926, 4, 28368, 466, 194, 26332, 6613, 5799, 454, 20, 810, 12, 36, 11, 26332, 6613, 6885, 2750, 14, 262, 4, 28660, 26268, 434, 194, 26332, 6613, 5799, 454, 20, 810, 12, 36, 11, 26332, 6613, 6885, 2750, 14, 262, 4, 31590, 704, 23164, 19955, 91, 194, 26332, 6613, 5799, 454, 20, 810, 12, 36, 11, 26332, 6613, 6885, 2750, 14, 262, 4, 430, 4, 1210, 10285, 35802, 36, 4806, 7433, 25, 9012, 169, 5799, 454, 20, 810, 12, 36, 11, 4806, 13856, 2750, 14, 262, 16, 85, 405, 4, 3031, 110, 20, 2074, 2717, 279, 194, 2074, 1719, 24044, 20, 2074, 583, 2074, 351, 4, 8129, 2157, 194, 7433, 25, 9012, 169, 5799, 454, 20, 1740, 297, 12, 1740, 297, 11, 194, 10613, 1421, 1740, 354, 12, 20143, 198, 313, 12627, 11, 16, 85, 405, 4, 3031, 110, 20, 2074, 135, 2074, 2074, 37033, 1047, 12288, 18566, 2074, 2074, 139, 194, 2074, 1719, 24044, 20, 2074, 583, 2074, 116, 4, 22471, 31951, 13840, 135, 2074, 2074, 657, 13564, 9, 116, 9, 334, 2074, 2074, 139, 81, 550, 13, 19594, 135, 2074, 2074, 30760, 299, 11142, 12, 2047, 1432, 4043, 11, 25904, 1933, 2074, 2074, 139, 12, 8844, 543, 135, 2074, 2074, 9886, 36169, 26, 278, 7327, 12, 36, 11, 2103, 440, 274, 2074, 2074, 139, 11, 17820, 26402, 14833, 20365, 4173, 34660, 15, 613, 9131, 11000, 215, 215, 4, 22471, 31951, 13840, 135, 2074, 2074, 657, 13564, 9, 215, 9, 40, 2074, 2074, 139, 81, 550, 13, 19594, 135, 2074, 2074, 30760, 299, 11142, 12, 2047, 1432, 4043, 11, 25904, 1933, 2074, 2074, 139, 12, 8844, 543, 135, 2074, 2074, 9886, 36169, 26, 278, 7327, 12, 36, 11, 2103, 440, 274, 2074, 2074, 139, 11, 17820, 26402, 14833, 20365, 4173, 34660, 15, 613, 9131, 11000, 215, 208, 4, 22471, 31951, 13840, 135, 2074, 2074, 657, 13564, 9, 215, 9, 208, 2074, 2074, 139, 81, 550, 13, 19594, 135, 2074, 2074, 30760, 299, 11142, 12, 2047, 1432, 4043, 11, 25904, 1933, 2074, 2074, 139, 12, 8844, 543, 135, 2074, 2074, 9886, 36169, 26, 278, 7327, 12, 36, 11, 2103, 440, 274, 2074, 2074, 139, 11, 17820, 26402, 14833, 20365, 4173, 34660, 15, 613, 9131, 11000, 215, 348, 4, 22471, 31951, 13840, 135, 2074, 2074, 657, 13564, 9, 215, 9, 274, 2074, 2074, 139, 81, 550, 13, 19594, 135, 2074, 2074, 30760, 299, 11142, 12, 2047, 1432, 4043, 11, 25904, 1933, 2074, 2074, 139, 12, 8844, 543, 135, 2074, 2074, 9886, 36169, 26, 278, 7327, 12, 36, 11, 2103, 440, 274, 2074, 2074, 139, 11, 17820, 26402, 14833, 20365, 4173, 34660, 15, 613, 9131, 11000, 215, 1266, 4, 32135, 82, 194, 26332, 6613, 5799, 454, 20, 810, 12, 36, 11, 26332, 6613, 6885, 1873, 1061, 12, 208, 11, 866, 27, 1003, 16, 353, 4, 3031, 110, 20, 2074, 219, 26332, 6613, 12, 279, 11, 2074, 1719, 24044, 20, 2074, 583, 2074, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
91,572
40520
[ 5493, 305, 10421, 20, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 8738, 2766, 12, 5674, 2861, 7836, 5, 284, 11, 44, 449, 8870, 2263, 12, 18758, 757, 5, 3020, 119, 11, 44, 1591, 22754, 1869, 12, 3302, 21571, 244, 13, 4806, 9, 383, 2282, 11, 44, 430, 13965, 1083, 12, 2768, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 8738, 1541, 1083, 12, 30393, 507, 5, 2378, 3312, 15, 293, 15958, 7, 15, 2561, 11, 27730, 305, 10421, 20, 4419, 36321, 313, 2435, 6278, 33229, 12278, 20, 293, 15958, 7, 35042, 32208, 35116, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 8738, 2766, 12, 5674, 2861, 7836, 5, 284, 11, 44, 449, 8870, 2263, 12, 18758, 757, 5, 3020, 119, 11, 44, 1591, 22754, 1869, 12, 3302, 21571, 244, 13, 4806, 9, 383, 2282, 11, 44, 430, 13965, 1083, 12, 2768, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 8738, 1541, 1083, 12, 30393, 507, 5, 2378, 3312, 15, 293, 15958, 7, 15, 2561, 11, 27730, 305, 10421, 20, 4419, 36321, 313, 2435, 6278, 33229, 12278, 20, 293, 15958, 7, 35042, 32208, 35116, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
91,572
40520
[ 5493, 305, 10421, 20, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 8738, 2766, 12, 5674, 2861, 7836, 5, 284, 11, 44, 449, 8870, 2263, 12, 18758, 757, 5, 3020, 119, 11, 44, 1591, 22754, 1869, 12, 3302, 21571, 244, 13, 4806, 9, 383, 2282, 11, 44, 430, 13965, 1083, 12, 2768, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 8738, 1541, 1083, 12, 30393, 507, 5, 2378, 3312, 15, 293, 15958, 7, 15, 2561, 11, 27730, 305, 10421, 20, 4419, 2493, 3409, 1799, 18001, 6101, 2571, 3643, 250, 36426, 20, 81, 3921, 22923, 434, 194, 6885, 2717, 636, 81, 704, 23164, 19955, 91, 194, 6885, 2717, 636, 81, 28368, 219, 194, 6885, 2717, 636, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 8738, 2766, 12, 5674, 2861, 7836, 5, 284, 11, 44, 449, 8870, 2263, 12, 18758, 757, 5, 3020, 119, 11, 44, 1591, 22754, 1869, 12, 3302, 21571, 244, 13, 4806, 9, 383, 2282, 11, 44, 430, 13965, 1083, 12, 2768, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 8738, 1541, 1083, 12, 30393, 507, 5, 2378, 3312, 15, 293, 15958, 7, 15, 2561, 11, 27730, 305, 10421, 20, 4419, 2493, 3409, 1799, 18001, 6101, 2571, 3643, 250, 36426, 20, 81, 3921, 22923, 434, 194, 6885, 2717, 636, 81, 704, 23164, 19955, 91, 194, 6885, 2717, 636, 81, 28368, 219, 194, 6885, 2717, 636, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
91,572
40520
[ 5493, 305, 10421, 20, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 8738, 2766, 12, 5674, 2861, 7836, 5, 284, 11, 44, 449, 8870, 2263, 12, 18758, 757, 5, 3020, 119, 11, 44, 1591, 22754, 1869, 12, 3302, 21571, 244, 13, 4806, 9, 383, 2282, 11, 44, 430, 13965, 1083, 12, 2768, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 8738, 1541, 1083, 12, 30393, 507, 5, 2378, 3312, 15, 293, 15958, 7, 15, 2561, 11, 27730, 305, 10421, 20, 4419, 36321, 313, 2435, 6278, 3190, 12693, 6567, 18001, 20, 1015, 20337, 19, 2424, 15, 871, 3838, 1080, 7, 13396, 8, 15368, 4, 480, 13963, 25, 135, 2074, 2074, 116, 9, 85, 2074, 2074, 139, 291, 15654, 11930, 683, 4537, 7485, 8, 14, 5831, 2131, 10, 6, 1750, 1202, 5, 14909, 205, 5773, 4, 167, 1159, 897, 6, 314, 10, 6, 6979, 7, 14, 3374, 17, 2377, 537, 23, 14, 15677, 4, 1015, 20337, 72, 524, 3865, 5, 14, 284, 5844, 23, 7585, 9755, 4, 521, 14, 550, 5, 55, 406, 843, 7, 11980, 374, 1802, 20, 36, 4, 1335, 15, 2190, 12, 1210, 10285, 35802, 8, 8129, 11, 15, 4422, 8, 758, 2084, 23, 6, 2329, 481, 3551, 40, 4, 12188, 5, 16312, 6979, 12, 8032, 11, 4, 19594, 135, 2074, 2074, 30760, 299, 11142, 12, 2047, 1432, 4043, 11, 483, 1827, 2074, 2074, 139, 374, 9352, 3621, 5, 35, 15, 11980, 4, 10188, 6, 6979, 57, 58, 2469, 7, 6, 404, 6979, 15677, 8, 3374, 71, 33, 2469, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 8738, 2766, 12, 5674, 2861, 7836, 5, 284, 11, 44, 449, 8870, 2263, 12, 18758, 757, 5, 3020, 119, 11, 44, 1591, 22754, 1869, 12, 3302, 21571, 244, 13, 4806, 9, 383, 2282, 11, 44, 430, 13965, 1083, 12, 2768, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 8738, 1541, 1083, 12, 30393, 507, 5, 2378, 3312, 15, 293, 15958, 7, 15, 2561, 11, 27730, 305, 10421, 20, 4419, 36321, 313, 2435, 6278, 3190, 12693, 6567, 18001, 20, 1015, 20337, 19, 2424, 15, 871, 3838, 1080, 7, 13396, 8, 15368, 4, 480, 13963, 25, 135, 2074, 2074, 116, 9, 85, 2074, 2074, 139, 291, 15654, 11930, 683, 4537, 7485, 8, 14, 5831, 2131, 10, 6, 1750, 1202, 5, 14909, 205, 5773, 4, 167, 1159, 897, 6, 314, 10, 6, 6979, 7, 14, 3374, 17, 2377, 537, 23, 14, 15677, 4, 1015, 20337, 72, 524, 3865, 5, 14, 284, 5844, 23, 7585, 9755, 4, 521, 14, 550, 5, 55, 406, 843, 7, 11980, 374, 1802, 20, 36, 4, 1335, 15, 2190, 12, 1210, 10285, 35802, 8, 8129, 11, 15, 4422, 8, 758, 2084, 23, 6, 2329, 481, 3551, 40, 4, 12188, 5, 16312, 6979, 12, 8032, 11, 4, 19594, 135, 2074, 2074, 30760, 299, 11142, 12, 2047, 1432, 4043, 11, 483, 1827, 2074, 2074, 139, 374, 9352, 3621, 5, 35, 15, 11980, 4, 10188, 6, 6979, 57, 58, 2469, 7, 6, 404, 6979, 15677, 8, 3374, 71, 33, 2469, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
91,572
40520
[ 5493, 305, 10421, 20, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 8738, 2766, 12, 5674, 2861, 7836, 5, 284, 11, 44, 449, 8870, 2263, 12, 18758, 757, 5, 3020, 119, 11, 44, 1591, 22754, 1869, 12, 3302, 21571, 244, 13, 4806, 9, 383, 2282, 11, 44, 430, 13965, 1083, 12, 2768, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 8738, 1541, 1083, 12, 30393, 507, 5, 2378, 3312, 15, 293, 15958, 7, 15, 2561, 11, 27730, 305, 10421, 20, 4419, 4079, 1015, 2807, 15592, 10452, 3332, 20, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5493, 305, 10421, 20, 5216, 1208, 2529, 12, 2900, 7488, 2791, 429, 76, 15, 429, 608, 11, 44, 3972, 3582, 12, 3302, 8, 446, 7488, 14010, 11, 44, 8738, 2766, 12, 5674, 2861, 7836, 5, 284, 11, 44, 449, 8870, 2263, 12, 18758, 757, 5, 3020, 119, 11, 44, 1591, 22754, 1869, 12, 3302, 21571, 244, 13, 4806, 9, 383, 2282, 11, 44, 430, 13965, 1083, 12, 2768, 2839, 429, 608, 11, 44, 11507, 5827, 12, 2768, 889, 608, 7, 446, 7488, 11, 44, 8738, 1541, 1083, 12, 30393, 507, 5, 2378, 3312, 15, 293, 15958, 7, 15, 2561, 11, 27730, 305, 10421, 20, 4419, 4079, 1015, 2807, 15592, 10452, 3332, 20, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]