view test-data/SOA-22-0312/poliovirus3sabin.json @ 0:7e49c6b19f5e draft

planemo upload commit a99e10fec2fac5aae70974c977eb3b362a1a8429

{
"gapFreeConsensus": "TGGTTTTGTGTCAGCGTGTAATGACTTCAGTGTGCGCTTGCTGCGGGACACAACACACATTAGTCAAGAGGCTATGCCACAAGGAATTGGTGACATGATTGAGGGGGCCGTTGAAGGGATTACTAAAAATGCATTGGTTCCCCCGACCTCCACCAATAGCCTGCCTGACACAAAGCCGAGCGGCCCAGCCCACTCCAAGGAGATACCCGCATTGACAGCTGTGGAGACAGGGGCTACCAATCCGTTGGTGCCTTCGGACACCGTGCAAACGCGCCATGTCATCCAGAGACGAACGCGATCAGAATCCACAGTTGAGTCATTCTTTGCAAGAGGGGCTTGTGTGGCTATCATTGAGGTGGACAATGATGCACCGACAAAGCGCACCAGCAGATTGTTTTCGGTTTGGAAAATAACTTACAAAGATACTGTTCAACTGAGACGCAAGCTGGAATTTTTCACATATTCGAGATTTGACATGGAGTTCACTTTTGTAGTCACCTCAAACTACACCGATGCAAATAACGGACATGCATTGAACCAAGTTTATCAGATAATGTATATACCACCCGGAGCACCTATCCCTGGTAAATGGAACGATTACACGTGGCAGACGTCCTCTAACCCGTCGGTGTTTTACACCTATGGGGCGCCCCCAGCAAGAATATCAGTGCCCTATGTGGGAATTGCTAATGCGTATTCCCACTTTTATGATGGGTTTGCAAAAGTACCACTAGCGGGTCAGGCCTCAACTGAAGGTGATTCGTTGTACGGTGCTGCCTCACTGAATGATTTTGGATCACTAGCTGTTCGCGTGGTAAATGATCATAACCCCACGCGGCTCACTTCTAAGATCAGAGTGTACATGAAGCCAAAGCATGTCAGAGTCTGGTGCCCACGACCTCCGCGGGCGGTCCCATACTTTGGACCAGGTGTTGATTATAAAGATGGACTCACCCCACTACCAGAAAAGGGGTTAACGACTTATGGATTTGGACACCAAAACAAAGCTGTGTACACAGCTGGCTACAAAATTTGCAATTACCATTTAGCTACACAAGAAGACTTGCAAAATGCCGTAAGTGTCAT",
"gappedConsensus": "------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------TGGTTTTGTGTCAGCGTGTAATGACTTCAGTGTGCGCTTGCTGCGGGACACAACACACATTAGTCAAGAGGCTATGCCACAAGGAATTGGTGACATGATTGAGGGGGCCGTTGAA--GGGATTACTAAAAATGCATTGGTTCCCCCGACCTCCACCA--ATAGCCTGCCTGACACAAAGCCGAGCGGCCCAGCCCACTCCAAGGAGATACCCGCATTGACAGCTGTGGAGACAGGGGCTACCAATCCGTTGGTGCCTTCGGACACCGTGCAAACGCGCCATGTCATCCAGAGACGAACGCGATCAGAATCCACAGTTGAGTCATTCTTTGCAAGAGGGGCTTGTGTGGCTATCATTGAGGTGGACAATGATGCACCGACAAAGCGCAC-CAGCAGATTGTTTTCGGTTTGGAAAATAACTTACAAAGATACTGTTCAACTGAGACGCAAGCTGGAATTTTTCACATATTCGAGATTTGACATGGAGTTCACTTTTGTAGTCACCTCAAACTACACCGATGCAAATAACGGACATGCATTGAACCAAGTTTATCAGATAATGTATATACCACCCGGAGCACCTATCCCTGGTAAATGGAACGATTACACGTGGCAGACGTCCTCTAACCCGTCGGTGTTTTACACCTATGGGGCGCCCCCAGCAAGAATATCAGTGCCCTATGTGGGAATTGCTAATGCGTATTCCCACTTTTATGATGGGTTTGCAAAAGTACCACTAGCGGGTCAGGCC--TCAACTGAA-GGTGATTCGTTGTACGGTGCTGCCTCACTGAATGATTTTGGATCACTAGCTGTTCGCGTGGTAAATGATCATAACCCCACGCGGCTCACTTCTAAGATCAGAGTGTACATGAAGCCAAAGCATGTCAGAGTCTGGTGCCCACGACCTCCGCGGGCGGTCCCATACTTTGGACCAGGTGTTGATTATAAAGATGGACTC--ACCCCACTACCAGAAAAGGGGTTAACGACTTATGGATTTGGACACCAAAACAAAGCTGTGTACACAGCTGGCTACAAAATTTGCAATTACCATTTAGCTACACAAGAAGACTTGCAAAATGCCGTAAGTGTCAT-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------",
"msa": 
[
{
"reference": false,
"forward": false,
"traceFileName": "dataset_152157",
"leadingGaps": "2580",
"trailingGaps": "4018",
"align": "GCCCAGCCCACTCCAAGGAGATACCCGCATTGACAGCTGTGGAGACAGGGGCTACCAATCCGTTGGTGCCTTCGGACACCGTGCAAACGCGCCATGTCATCCAGAGACGAACGCGATCAGAATCCACAGTTGAGTCATTCTTTGCAAGAGGGGCTTGTGTGGCTATCATTGAGGTGGACAATGATGCACCGACAAAGCGCAC-CAGCAGATTGTTTTCGGTTTGGAAAATAACTTACAAAGATACTGTTCAACTGAGACGCAAGCTGGAATTTTTCACATATTCGAGATTTGACATGGAGTTCACTTTTGTAGTCACCTCAAACTACACCGATGCAAATAACGGACATGCATTGAACCAAGTTTATCAGATAATGTATATACCACCCGGAGCACCTATCCCTGGTAAATGGAACGATTACACGTGGCAGACGTCCTCTAACCCGTCGGTGTTTTACACCTATGGGGCGCCCCCAGCAAGAATATCAGTGCCCTATGTGGGAATTGCTAATGCGTATTCCCACTTTTATGATGGGTTTGCAAAAGTACCACTAGCGGGTCAGGCC--TCAACTGAA-GGTGATTCGTTGTACGGTGCTGCCTCACTGAATGATTTTGGATCACTAGCTGTTCGCGTGGTAAATGATCATAACCCCACGCGGCTCACTTCTAAGATCAGAGTGTACATGAAGCCAAAGCATGTCAGAGTCTGGTGCCCACGACCTCCGCGGGCGGTCCCATACTTTGGACCAGGTGTTGATTATAAAGATGGACTC--ACCCCACTACCAGAAAAGGGGTTAACGACTTATGGATTTGGACACCAAAACAAAGCTGTGTACACAGCTGG"
}
,
{
"reference": false,
"forward": true,
"traceFileName": "dataset_152162",
"leadingGaps": "2925",
"trailingGaps": "3955",
"align": "CATGCATTGAACCAAGTTTATCAGATAATGTATATACCACCCGGAGCACCTATCCCTGGTAAATGGAACGATTACACGTGGCAGACGTCCTCTAACCCGTCGGTGTTTTACACCTATGGGGCGCCCCCAGCAAGAATATCAGTGCCCTATGTGGGAATTGCTAATGCGTATTCCCACTTTTATGATGGGTTTGCAAAAGTACCACTAGCGGGTCAGGCC--TCAACTGAA-GGTGATTCGTTGTACGGTGCTGCCTCACTGAATGATTTTGGATCACTAGCTGTTCGCGTGGTAAATGATCATAACCCCACGCGGCTCACTTCTAAGATCAGAGTGTACATGAAGCCAAAGCATGTCAGAGTCTGGTGCCCACGACCTCCGCGGGCGGTCCCATACTTTGGACCAGGTGTTGATTATAAAGATGGACTC--ACCCCACTACCAGAAAAGGGGTTAACGACTTATGGATTTGGACACCAAAACAAAGCTGTGTACACAGCTGGCTACAAAATTTGCAATTACCATTTAGCTACACAAGAAGACTTGCAAAATGCCGTAAGTGTCAT"
}
,
{
"reference": false,
"forward": true,
"traceFileName": "dataset_152160",
"leadingGaps": "2456",
"trailingGaps": "4404",
"align": "GTCAAGAGGCTATGCCACAAGGAATTGGTGACATGATTGAGGGGGCCGTTGAA--GGGATTACTAAAAATGCATTGGTTCCCCCGACCTCCACCA--ATAGCCTGCCTGACACAAAGCCGAGCGGCCCAGCCCACTCCAAGGAGATACCCGCATTGACAGCTGTGGAGACAGGGGCTACCAATCCGTTGGTGCCTTCGGACACCGTGCAAACGCGCCATGTCATCCAGAGACGAACGCGATCAGAATCCACAGTTGAGTCATTCTTTGCAAGAGGGGCTTGTGTGGCTATCATTGAGGTGGACAATGATGCACCGACAAAGCGCAC-CAGCAGATTGTTTTCGGTTTGGAAAATAACTTACAAAGATACTGTTCAACTGAGACGCAAGCTGGAATTTTTCACATATTCGAGATTTGACATGGAGTTCACTTTTGTAGTCACCTCAAACTACACCGATGCAAATAACGGACATGCATTGAACCAAGTTTATCAGATAATGTATATACCACCCGGAGCACCTATCCCTGGTAAATGGAACGATTACACGTGGCAGACGTCCTCTAACCCGTCGGTGTTTTACACCTA"
}
,
{
"reference": false,
"forward": false,
"traceFileName": "dataset_152161",
"leadingGaps": "2394",
"trailingGaps": "4608",
"align": "TGGTTTTGTGTCAGCGTGTAATGACTTCAGTGTGCGCTTGCTGCGGGACACAACACACATTAGTCAAGAGGCTATGCCACAAGGAATTGGTGACATGATTGAGGGGGCCGTTGAA--GGGATTACTAAAAATGCATTGGTTCCCCCGACCTCCACCA--ATAGCCTGCCTGACACAAAGCCGAGCGGCCCAGCCCACTCCAAGGAGATACCCGCATTGACAGCTGTGGAGACAGGGGCTACCAATCCGTTGGTGCCTTCGGACACCGTGCAAACGCGCCATGTCATCCAGAGACGAACGCGATCAGAATCCACAGTTGAGTCATTCTTTGCAAGAGGGGCTTGTGTGGCTATCATTGAGGTGGACAATGATGCACCGACAAAGCGCAC-CAGCAGATTGTTTTCGGTTTGGAAAATAACTTACAAAGATACTGTTCAACTGAG"
}
,
{
"reference": true,
"forward": true,
"traceFileName": "",
"leadingGaps": "0",
"trailingGaps": "0",
"align": "TTAAAACAGCTCTGGGGTTGTTCCCACCCCAGAGGCCCACGTGGCGGCTAGTACACTGGTATCACGGTACCTTTGTACGCCTGTTTTATACTCCCTCCCCCGCAACTTAGAAGCATACAATTCAAGCTCAATAGGAGGGGGTGCAAGCCAGCGCCTCCGTGGGCAAGCACTACTGTTTCCCCGGTGAGGCCGCATAGACTGTTCCCACGGTTGAAAGTGTCCGATCCGTTATCCGCTCATGTACTTCGAGAAGCCTAGTATCGCTCTGGAATCTTCGACGCGTTGCGCTCAGCACTCAACCCCGGAGTGTAGCTTGGGCCGATGAGTCTGGACAGTCCCCACTGGCGACAGTGGTCCAGGCTGCGCTGGCGGCCCACCTGTGGCCCAAAGCCACGGGACGCTAGTTGTGAACAGGGTGTGAAGAGCCTATTGAGCTACATGAGAGTCCTCCGGCCCCTGAATGCGGCTAATTCTAACCATGGAGCAGGCAGCTGCAACCCAGCAGCCAGCCTGTCGTAACGCGCAAGTCCGTGGCGGAACCGACTACTTTGGGTGTCCGTGTTTCCTTTTATTCTTGAATGGCTGCTTATGGTGACAATCATAGATTGTTATCATAAAGCGAGTTGGATTGGCCATCCAGTGTGAATCAGATTAATTACTCCCTTGTTTGTTGGATCCACTCCCGAAACGTTTTACTCCTTAACTTATTGAAATTGTTTGAAGACAGGATTTCAGTGTCACAATGGGAGCTCAAGTATCATCCCAAAAAGTAGGCGCTCACGAGAATTCTAACCGAGCCTACGGTGGTTCTACGATCAACTACACCACAATTAATTATTATAAAGATTCCGCAAGTAATGCGGCGTCCAAACAAGATTACTCACAGGATCCATCAAAATTCACCGAGCCACTAAAGGACGTGCTCATAAAAACAGCTCCAGCACTCAATTCACCAAATGTGGAAGCGTGTGGGTATAGTGATAGAGTGTTGCAACTCACTTTAGGCAATTCCACTATTACTACACAGGAGGCAGCAAATTCAGTAGTGGCTTACGGACGTTGGCCTGAGTTTATTAGAGATGACGAAGCAAACCCGGTGGACCAACCAACTGAACCAGATGTGGCTACATGCAGATTCTACACACTAGACACTGTAATGTGGGGTAAGGAGTCGAAAGGCTGGTGGTGGAAGTTACCTGACGCACTGAGAGACATGGGTCTGTTTGGACAAAACATGTATTACCACTACCTAGGAAGATCCGGGTACACTGTGCACGTGCAGTGTAATGCATCCAAATTTCACCAAGGTGCACTCGGGGTGTTTGCGATTCCTGAGTATTGTCTGGCGGGTGACAGTGACAAGCAAAGGTACACTAGTTATGCAAATGCGAATCCAGGTGAAAGAGGGGGAAAATTTTACTCCCAATTCAACAAGGATAACGCAGTAACATCCCCAAAAAGAGAGTTCTGCCCAGTGGATTATCTCCTGGGATGTGGGGTGTTACTGGGAAATGCCTTTGTATACCCACATCAAATCATTAATCTGAGGACCAACAACAGCGCAACTATTGTCCTACCATATGTGAATGCTTTGGCCATTGATTCAATGGTTAAACACAACAACTGGGGCATTGCCATTCTGCCCTTATCACCGCTGGATTTTGCTCAAGATTCATCAGTTGAAATTCCAATTACTGTGACAATTGCCCCAATGTGTAGCGAGTTCAACGGCCTTCGCAACGTGACTGCACCTAAATTTCAAGGACTACCAGTGTTGAACACTCCTGGTAGTAACCAGTACCTGACGTCAGACAACCACCAATCACCATGCGCAATCCCAGAATTTGATGTCACTCCGCCTATTGATATCCCAGGTGAGGTTAAAAACATGATGGAGCTCGCCGAGATAGACACCATGATTCCTCTCAATTTGGAGAGCACCAAGAGAAACACAATGGACATGTACAGAGTTACTCTGAGCGACAGTGCCGATCTATCGCAACCAATTTTGTGCTTGTCACTATCCCCAGCATTTGATCCGCGCTTGTCACACACCATGCTTGGGGAAGTACTGAACTATTATACTCATTGGGCCGGGTCCTTGAAATTTACCTTCCTGTTCTGTGGTTCAATGATGGCTACGGGGAAAATCCTAGTGGCCTATGCACCACCAGGTGCACAACCCCCCACCAGCCGTAAGGAGGCTATGTTGGGCACACATGTCATTTGGGATCTTGGCCTGCAATCATCTTGTACTATGGTGGTGCCGTGGATTAGTAATGTGACATACAGACAGACTACACAAGATAGTTTCACTGAGGGCGGATATATCAGCATGTTCTACCAAACAAGAATTGTGGTGCCACTGTCCACCCCTAAGAGTATGAGCATGCTGGGGTTTGTGTCAGCCTGTAATGATTTCAGTGTGCGATTGCTGCGAGACACCACTCACATTTCACAATCTGCGCTTCCACAGGGTATTGAAGATTTGATTTCTGAAG---TTGCACAGGGCGCCCTAA-----CTTTGTCACTCCCGAAG--CAACAGGATAGCTTACCTGATACTAAGGCCAGTGGCCCGGCGCATTCCAAGGAGGTACCTGCACTCACTGCAGTCGAGACTGGAGCCACCAATCCTCTGGCACCATCCGACACAGTTCAAACGCGCCACGTAGTCCAACGACGCAGCAGGTCAGAGTCCACAATAGAATCATTCTTCGCACGCGGGGCGTGCGTCGCTATTATTGAGGTGGACAATGAACAACCAACCACCCGGGCACAGAA-ACTATTTGCCATGTGGCGCATTACATACAAAGATACAGTGCAGTTGCGCCGTAAGTTGGAGTTTTTCACATACTCTCGTTTTGACATGGAATTCACCTTCGTGGTAACCGCCAACTTCACCAACGCTAATAATGGGCATGCACTCAACCAGGTGTACCAGATAATGTACATCCCCCCAGGGGCACCCACACCAAAGTCATGGGACGACTACACTTGGCAAACATCTTCCAACCCGTCCATATTTTACACCTATGGGGCTGCCCCGGCGCGAATCTCAGTGCCATACGTGGGGTTAGCCAATGCTTACTCGCACTTTTACGACGGCTTCGCCAAGGTGCCATTGAAGACAGATGCCAATGACCAGATTGGTGATTCCTTGTACAGCGCCATGACAGTTGATGACTTTGGTGTATTGGCAGTTCGTGTTGTCAATGATCACAACCCCACTAAAGTAACCTCCAAAGTCCGCATTTACATGAAACCCAAACACGTACGTGTCTGGTGCCCTAGACCGCCGCGCGCGGTACCTTATTATGGACCAGGGGTGGACTATAG-GAACAACTTGGACCCCT-TATCTGAGAAAGGTTTGACCACATATGGCTTTGGGCATCAGAATAAAGCTGTGTACACTGCTGGTTACAAGATCTGCAACTACCATCTCGCCACTAAGGAGGATTTACAAAATGCTGTAAGCATCATGTGGAATAGAGACCTCTTGGTTGTTGAATCAAAAGCTCAAGGTACCGACTCAATAGCAAGGTGCAATTGCAATGCAGGGGTGTACTATTGTGAGTCCAGAAGGAAATACTACCCTGTGTCGTTTGTGGGACCCACCTTCCAATACATGGAGGCTAATGACTACTACCCAGCTAGATACCAATCCCACATGTTAATCGGGCACGGCTTTGCCTCACCAGGTGACTGTGGTGGTATCCTTAGGTGTCAACATGGCGTCATCGGAATCGTGACAGCTGGTGGAGAGGGATTAGTCGCATTCTCTGACATAAGGGACTTGTATGCTTACGAGGAAGAGGCCATGGAGCAGGGCATTTCAAACTATATTGAGTCACTCGGTGCTGCGTTCGGTAGTGGGTTCACTCAGCAAATAGGGGATAAGATATCAGAACTAACCAGCATGGTGACCAGCACGATTACAGAGAAGCTACTTAAAAACCTAATCAAAATTATTTCATCTCTGGTGATTATCACTAGAAATTACGAAGATACCACCACAGTGCTCGCCACTCTAGCTCTTCTTGGGTGTGATGTTTCACCGTGGCAATGGCTGAAGAAGAAAGCATGTGACACTTTGGAGATTCCCTATGTTATTAGACAGGGTGATAGTTGGTTGAAAAAATTTACTGAGGCGTGCAACGCAGCTAAGGGGTTGGAATGGGTGTCCAACAAAATCTCAAAATTTATTGACTGGTTGAGAGAAAGAATCATCCCACAAGCCAGGGACAAGCTTGAGTTTGTAACCAAATTGAAACAGTTGGAAATGCTAGAGAATCAGATATCCACAATACACCAATCTTGTCCAAGTCAGGAACACCAGGAAATTTTGTTCAACAATGTACGCTGGTTGTCCATTCAATCCAAGAGATTCGCTCCATTGTACGCACTTGAGGCCAAGAGAATACAAAAGTTGGAACACACCATTAATAATTACATACAGTTCAAGAGCAAACACCGTATTGAGCCAGTATGTTTGTTAGTGCATGGGAGCCCAGGTACAGGAAAATCAGTTGCGACTAACCTAATTGCTAGAGCCATAGCTGAGAAAGAGAACACCTCCACCTACTCGCTACCACCGGACCCGTCTCACTTTGATGGATACAAACAACAAGGTGTGGTTATCATGGACGACCTAAACCAAAACCCGGATGGGGCAGATATGAAGCTCTTTTGTCAAATGGTGTCCACTGTGGAGTTTATCCCACCTATGGCCTCGCTGGAAGAGAAAGGCATTCTGTTCACATCCAACTATGTTTTAGCCTCCACCAACTCCAGTCGCATCACACCACCTACAGTAGCCCACAGTGACGCTCTGGCCAGGAGGTTCGCTTTCGATATGGATATTCAAGTGATGGGCGAGTACTCCAGAGATGGTAAACTCAACATGGCAATGGCTACTGAGACGTGCAAGGACTGCCACCAACCAGCAAACTTCAAAAGATGCTGTCCTTTAGTGTGTGGTAAGGCAATTCAGTTAATGGACAAATCTTCCAGAGTTAGGTACAGTGTTGACCAGATTACTACAATGATTATCAACGAGAGAAACAGAAGATCTAACATTGGCAATTGCATGGAGGCTTTGTTCCAAGGACCACTCCAGTACAAAGACCTGAAAATTGACATCAAGACGAGGCCCCCCCCTGAATGCATCAATGATCTGCTTCAAGCAGTTGACTCCCAGGAAGTGAGGGATTATTGTGAAAAGAAAGGATGGATCGTCAACATCACTAGCCAAGTTCAAACAGAGAGAAACATTAACCGAGCAATGACCATTTTGCAGGCAGTGACAACTTTCGCCGCAGTGGCTGGTGTCGTGTACGTCATGTACAAGTTATTCGCTGGACACCAGGGAGCATACACTGGTCTGCCAAACAAAAGACCCAATGTGCCCACCATTAGAGCAGCAAAAGTGCAAGGGCCTGGGTTTGACTATGCAGTGGCTATGGCTAAAAGAAACATTGTTACAGCAACTACTAGCAAAGGGGAGTTCACAATGCTAGGAGTCCACGACAACGTGGCCATTTTACCAACTCATGCCTCACCTGGTGAGAGTATTGTAATTGATGGCAAAGAGGTTGAAATCCTAGACGCTAAAGCCCTCGAAGATCAGGCAGGCACTAATCTGGAAATCACCATAATAACCCTCAAAAGAAATGAAAAGTTCAGAGATATCAGACAACACATACCCACTCAAATCACCGAGACGAATGATGGAGTTCTGATTGTGAACACTAGTAAGTACCCCAACATGTATGTTCCTGTCGGTGCTGTGACTGAGCAGGGATACCTAAATCTCGGTGGGCGCCAGACTGCTCGTATTCTAATGTACAACTTTCCAACCAGAGCTGGTCAGTGTGGTGGAGTCATCACATGCACTGGGAAAGTCATCGGGATGCACGTTGGTGGGAATGGTTCACATGGGTTTGCAGCGGCCCTGAAGCGGTCATACTTCACTCAGAGCCAAGGTGAAATCCAGTGGATGAGACCATCAAAGGAGGCAGGGTATCCAATTATAAACGCCCCAACCAAGACCAAGCTCGAGCCCAGCGCTTTCCACTATGTGTTTGAAGGAGTAAAGGAACCAGCAGTCCTCACAAAGAATGATCCCAGACTCAAAACAGACTTTGAAGAAGCAATCTTCTCTAAGTATGTAGGGAACAAGATCACTGAGGTGGATGAGTACATGAAAGAGGCAGTGGACCATTATGCTGGACAACTTATGTCGCTGGATATCAGCACAGAGCAAATGTGTCTAGAAGACGCCATGTATGGTACTGATGGTCTGGAGGCGCTAGATCTGTCTACCAGTGCCGGGTACCCCTACGTGGCAATGGGGAAGAAGAAGAGAGATATCCTAAACAAGCAAACCAGAGACACCAAAGAAATGCAAAGACTTTTGGACGCTTACGGAATCAACCTACCATTAGTGACATATGTCAAGGACGAGCTGAGGTCCAAAACAAAAGTGGAACAGGGAAAATCCAGACTGATTGAAGCTTCCAGTCTAAATGACTCAGTGGCCATGAGAATGGCATTTGGAAACCTTTATGCAGCATTCCACAGGAATCCAGGGGTCGTCACTGGTAGTGCAGTTGGATGCGATCCAGACCTATTCTGGAGCAAGATCCCAGTGTTGATGGAAGAAAAGCTATTTGCCTTTGATTACACAGGATACGACGCATCACTTAGCCCAGCTTGGTTTGAGGCACTCAAGATGGTGTTAGAGAAAATTGGTTTTGGAGATAGAGTGGATTACATAGACTACCTTAACCATTCACACCACTTGTACAAAAACAAGATATATTGTGTTAAGGGCGGCATGCCATCTGGCTGCTCCGGCACTTCAATTTTTAATTCAATGATTAACAATTTGATCATTAGGACGCTTTTACTGAAAACCTACAAGGGCATAGATTTGGACCACTTAAAAATGATTGCCTATGGTGACGATGTAATAGCTTCCTATCCCCATGAGGTTGACGCTAGTCTCCTAGCCCAATCAGGAAAAGACTATGGACTAACCATGACTCCGGCAGATAAATCTGCCACTTTTGAGACAGTCACATGGGAGAATGTAACTTTCTTGAAAAGATTCTTCAGAGCAGATGAGAAATACCCCTTCCTCATACATCCAGTAATGCCAATGAAGGAAATTCATGAATCAATCAGATGGACAAAAGATCCTCGGAATACGCAGGACCATGTACGCTCCTTGTGTCTATTGGCTTGGCACAACGGGGAAGAAGAATACAACAAATTTTTAGCTAAAATTAGGAGTGTGCCAATCGGAAGAGCTTTGTTGCTCCCAGAGTACTCAACATTGTACCGCCGTTGGCTTGACTCATTTTAGTAACCCTACCTCAGTCGAATTGGATTGGGTCATACTGTTGTAGGGGTAAATTTTTCTTTAATTCGGAGG"
}
],
"gappedTraces": 
[
{
"traceFileName": "dataset_152157",
"leadingGaps": 2580,
"trailingGaps": 4018,
"peakA": [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 4, 5, 4, 3, 2, 1, 0, 0, 0, 0, 1, 2, 4, 5, 6, 6, 5, 4, 3, 2, 2, 1, 1, 0, 0, 0, 0, 2, 4, 6, 8, 8, 7, 6, 4, 4, 5, 7, 10, 12, 14, 15, 14, 12, 10, 8, 7, 6, 6, 6, 7, 8, 10, 11, 12, 13, 12, 11, 10, 8, 7, 8, 9, 11, 13, 14, 14, 13, 12, 11, 11, 11, 12, 12, 12, 12, 11, 11, 10, 10, 10, 11, 12, 13, 14, 15, 16, 17, 16, 15, 13, 10, 9, 8, 8, 9, 11, 12, 12, 12, 10, 9, 9, 9, 10, 12, 14, 16, 17, 18, 18, 18, 17, 15, 12, 10, 8, 7, 6, 7, 9, 10, 12, 14, 15, 16, 16, 15, 13, 10, 7, 5, 5, 5, 5, 5, 4, 3, 1, 1, 1, 3, 6, 9, 12, 13, 13, 12, 10, 9, 8, 7, 7, 6, 6, 5, 5, 6, 6, 7, 6, 5, 4, 3, 2, 3, 5, 8, 10, 10, 10, 8, 5, 3, 2, 2, 3, 4, 5, 6, 7, 7, 8, 8, 8, 8, 8, 10, 11, 14, 15, 16, 15, 13, 10, 7, 6, 5, 6, 7, 8, 8, 9, 10, 12, 15, 18, 20, 20, 18, 15, 11, 8, 7, 9, 11, 14, 17, 18, 18, 17, 15, 14, 13, 12, 11, 12, 12, 13, 14, 15, 15, 15, 14, 13, 13, 13, 13, 15, 15, 16, 15, 14, 14, 14, 15, 17, 19, 20, 21, 21, 21, 21, 21, 22, 23, 25, 27, 28, 29, 30, 29, 28, 27, 26, 27, 28, 29, 30, 31, 31, 30, 30, 30, 30, 30, 29, 28, 28, 27, 27, 28, 30, 31, 33, 34, 34, 34, 34, 34, 34, 35, 35, 35, 36, 36, 36, 37, 38, 39, 39, 40, 39, 39, 38, 38, 37, 37, 37, 37, 37, 36, 35, 35, 34, 34, 34, 35, 37, 39, 40, 41, 41, 41, 41, 41, 43, 45, 47, 48, 48, 47, 45, 43, 41, 41, 42, 44, 45, 46, 46, 45, 43, 40, 39, 38, 38, 39, 41, 42, 44, 44, 43, 41, 39, 38, 37, 37, 39, 41, 42, 43, 42, 42, 42, 44, 48, 53, 59, 66, 73, 81, 88, 94, 98, 97, 92, 82, 69, 56, 44, 37, 36, 38, 43, 48, 51, 51, 50, 49, 49, 50, 54, 60, 67, 74, 83, 92, 102, 114, 128, 143, 161, 181, 204, 230, 258, 287, 315, 341, 366, 389, 411, 432, 451, 466, 475, 478, 474, 465, 453, 441, 429, 415, 397, 375, 347, 316, 285, 255, 230, 208, 190, 174, 158, 143, 128, 115, 105, 98, 94, 93, 95, 99, 105, 113, 122, 133, 144, 155, 166, 176, 184, 191, 196, 199, 201, 202, 202, 199, 194, 186, 174, 160, 144, 130, 117, 106, 97, 89, 80, 70, 59, 47, 37, 29, 23, 20, 19, 18, 18, 16, 14, 13, 11, 10, 9, 8, 7, 5, 3, 2, 2, 3, 4, 6, 8, 9, 10, 10, 11, 14, 17, 22, 27, 32, 36, 40, 44, 50, 59, 71, 86, 101, 115, 125, 132, 137, 143, 152, 163, 177, 190, 202, 208, 210, 208, 201, 193, 182, 172, 162, 152, 143, 135, 125, 115, 103, 90, 76, 64, 53, 45, 40, 36, 33, 29, 26, 21, 17, 14, 13, 13, 13, 13, 13, 11, 9, 6, 5, 4, 4, 5, 6, 7, 7, 7, 7, 8, 8, 8, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 6, 6, 4, 3, 1, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 4, 4, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 1, 2, 2, 3, 3, 4, 3, 3, 3, 3, 3, 4, 5, 6, 8, 8, 8, 7, 5, 2, 1, 0, 0, 0, 2, 3, 4, 4, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 7, 9, 10, 9, 7, 4, 2, 0, 0, 0, 0, 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, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 4, 6, 7, 8, 8, 8, 8, 9, 11, 12, 13, 14, 13, 12, 11, 10, 10, 12, 16, 21, 26, 31, 36, 41, 46, 51, 57, 64, 72, 81, 92, 103, 115, 127, 139, 149, 158, 167, 174, 181, 186, 189, 190, 187, 182, 175, 166, 157, 149, 141, 132, 123, 112, 102, 93, 86, 84, 85, 89, 94, 99, 104, 108, 113, 118, 126, 135, 145, 152, 156, 157, 153, 147, 139, 132, 127, 123, 121, 118, 115, 109, 102, 95, 88, 84, 85, 91, 102, 115, 129, 142, 155, 166, 177, 187, 198, 209, 219, 227, 234, 240, 245, 251, 258, 265, 272, 278, 281, 281, 279, 275, 268, 260, 250, 240, 230, 220, 210, 199, 189, 176, 162, 148, 133, 121, 110, 103, 99, 98, 98, 100, 103, 107, 112, 119, 126, 134, 142, 149, 155, 159, 161, 161, 159, 156, 151, 147, 143, 139, 134, 127, 119, 109, 99, 90, 82, 77, 76, 77, 82, 88, 97, 106, 114, 122, 129, 135, 141, 148, 155, 161, 166, 168, 166, 161, 153, 144, 135, 126, 118, 111, 104, 97, 89, 82, 74, 67, 60, 55, 51, 49, 50, 54, 59, 64, 69, 73, 75, 75, 75, 74, 74, 74, 74, 73, 71, 68, 64, 59, 54, 49, 46, 43, 41, 38, 34, 30, 26, 23, 21, 20, 21, 23, 26, 29, 34, 39, 47, 57, 68, 82, 96, 111, 126, 142, 157, 170, 182, 191, 197, 201, 203, 204, 203, 202, 198, 191, 182, 171, 159, 146, 133, 120, 109, 97, 86, 75, 65, 57, 49, 43, 37, 32, 27, 23, 20, 18, 17, 17, 16, 14, 13, 11, 10, 10, 11, 13, 15, 18, 21, 24, 28, 34, 41, 51, 62, 75, 89, 103, 118, 132, 147, 162, 178, 195, 213, 230, 246, 260, 273, 284, 293, 300, 304, 306, 304, 301, 297, 292, 290, 288, 287, 284, 277, 267, 252, 234, 215, 196, 179, 165, 153, 142, 133, 125, 118, 112, 108, 107, 109, 115, 124, 136, 149, 161, 172, 181, 187, 189, 189, 187, 182, 175, 167, 158, 149, 140, 130, 119, 106, 91, 76, 61, 48, 40, 37, 36, 36, 34, 30, 25, 18, 13, 10, 10, 12, 14, 15, 15, 13, 11, 8, 5, 3, 2, 1, 0, 1, 2, 5, 7, 8, 8, 6, 4, 1, 0, 0, 2, 6, 12, 19, 25, 31, 37, 44, 53, 65, 79, 96, 114, 130, 145, 158, 170, 181, 192, 203, 211, 216, 217, 214, 207, 197, 185, 172, 157, 141, 125, 109, 94, 80, 68, 57, 47, 40, 35, 32, 31, 31, 30, 29, 26, 22, 18, 15, 13, 13, 14, 15, 15, 14, 12, 8, 5, 3, 2, 2, 3, 4, 5, 6, 5, 4, 3, 2, 3, 6, 10, 15, 22, 29, 37, 46, 57, 69, 82, 96, 109, 121, 132, 141, 148, 155, 162, 168, 172, 174, 174, 169, 161, 151, 139, 126, 115, 105, 97, 90, 86, 84, 84, 88, 96, 106, 119, 134, 150, 167, 184, 202, 220, 238, 255, 269, 280, 287, 291, 293, 294, 293, 292, 289, 284, 276, 267, 256, 247, 239, 232, 227, 219, 209, 195, 178, 158, 138, 121, 107, 97, 88, 79, 70, 61, 51, 43, 37, 32, 29, 28, 27, 27, 29, 32, 39, 47, 58, 70, 83, 97, 113, 131, 151, 173, 196, 218, 239, 259, 277, 293, 307, 319, 329, 336, 341, 344, 346, 347, 347, 346, 344, 340, 334, 325, 315, 302, 288, 272, 254, 235, 215, 194, 174, 154, 135, 117, 99, 81, 63, 47, 34, 23, 16, 11, 8, 6, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 1, 0, 0, 1, 4, 8, 11, 14, 14, 14, 13, 12, 12, 13, 15, 15, 15, 13, 11, 8, 7, 7, 9, 10, 11, 10, 8, 5, 2, 0, 0, 1, 3, 7, 10, 13, 16, 19, 24, 32, 43, 57, 73, 90, 106, 122, 138, 153, 168, 183, 196, 208, 217, 222, 223, 221, 215, 207, 196, 182, 167, 149, 131, 113, 98, 85, 76, 71, 70, 72, 77, 86, 96, 109, 124, 139, 154, 168, 179, 188, 193, 194, 190, 183, 174, 163, 151, 139, 125, 111, 96, 81, 67, 54, 43, 33, 26, 21, 18, 16, 15, 16, 17, 20, 25, 32, 41, 52, 66, 82, 99, 117, 137, 157, 177, 197, 214, 228, 238, 243, 244, 241, 236, 227, 215, 199, 180, 159, 137, 114, 93, 76, 61, 50, 40, 32, 25, 18, 12, 6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 10, 16, 24, 34, 46, 61, 78, 97, 118, 140, 162, 185, 208, 229, 246, 260, 268, 272, 271, 266, 257, 244, 226, 205, 181, 156, 133, 113, 97, 83, 70, 59, 47, 36, 26, 18, 13, 10, 9, 10, 11, 11, 10, 8, 6, 3, 1, 1, 2, 5, 8, 11, 12, 11, 8, 5, 2, 1, 0, 1, 2, 3, 4, 5, 6, 8, 10, 12, 12, 12, 9, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 3, 5, 6, 7, 7, 7, 8, 9, 11, 13, 14, 14, 14, 14, 15, 16, 17, 17, 16, 15, 14, 14, 15, 16, 17, 17, 15, 12, 7, 3, 1, 0, 1, 3, 5, 7, 9, 10, 10, 9, 7, 6, 7, 9, 14, 21, 30, 40, 51, 63, 76, 92, 109, 128, 149, 170, 191, 212, 232, 253, 274, 292, 308, 321, 329, 334, 337, 337, 337, 337, 338, 339, 340, 340, 339, 336, 330, 319, 305, 288, 268, 245, 221, 197, 172, 149, 128, 108, 92, 78, 67, 58, 51, 45, 40, 36, 34, 32, 32, 32, 34, 36, 38, 40, 41, 40, 39, 36, 33, 31, 31, 33, 38, 44, 49, 54, 59, 63, 69, 78, 92, 109, 131, 154, 178, 202, 225, 247, 267, 286, 300, 308, 309, 301, 287, 268, 246, 224, 201, 179, 157, 135, 113, 92, 74, 59, 48, 39, 33, 27, 23, 20, 18, 19, 23, 28, 36, 45, 54, 65, 76, 89, 104, 121, 138, 156, 172, 185, 195, 200, 201, 197, 189, 178, 164, 148, 131, 113, 96, 81, 68, 57, 48, 40, 32, 26, 20, 16, 13, 13, 14, 16, 21, 27, 34, 42, 51, 60, 71, 84, 100, 120, 144, 170, 197, 221, 241, 256, 267, 274, 280, 286, 291, 295, 298, 300, 301, 301, 301, 301, 302, 303, 304, 304, 304, 304, 304, 304, 305, 307, 311, 315, 321, 326, 330, 332, 333, 333, 332, 331, 331, 332, 333, 334, 335, 335, 337, 339, 342, 346, 348, 348, 345, 340, 333, 327, 324, 322, 322, 323, 321, 317, 309, 300, 289, 277, 265, 250, 233, 212, 188, 161, 135, 111, 90, 73, 59, 48, 39, 31, 24, 18, 14, 11, 9, 7, 6, 5, 4, 3, 3, 3, 4, 5, 5, 6, 5, 5, 5, 7, 9, 13, 19, 26, 36, 49, 63, 79, 97, 117, 139, 163, 189, 213, 236, 254, 267, 274, 273, 266, 252, 234, 211, 186, 159, 134, 110, 89, 72, 57, 45, 35, 26, 19, 13, 8, 5, 3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 7, 7, 7, 7, 7, 8, 8, 9, 10, 11, 12, 13, 14, 14, 14, 14, 13, 12, 11, 10, 8, 6, 4, 2, 0, 0, 0, 1, 2, 2, 2, 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, 1, 2, 2, 2, 2, 2, 2, 4, 7, 12, 19, 28, 39, 51, 66, 84, 104, 125, 147, 168, 187, 202, 213, 220, 221, 218, 210, 198, 183, 165, 144, 124, 103, 84, 68, 54, 43, 34, 27, 21, 15, 10, 7, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 2, 1, 1, 1, 1, 2, 2, 2, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 7, 11, 16, 22, 28, 35, 44, 56, 72, 92, 115, 141, 165, 186, 202, 211, 214, 211, 203, 193, 180, 165, 149, 132, 114, 95, 77, 60, 45, 33, 24, 17, 11, 7, 3, 1, 0, 0, 2, 5, 7, 10, 12, 14, 18, 25, 35, 50, 67, 87, 109, 132, 156, 178, 200, 221, 240, 255, 268, 277, 283, 287, 290, 293, 300, 308, 319, 330, 341, 348, 352, 352, 346, 336, 320, 298, 271, 239, 205, 173, 144, 122, 105, 94, 88, 86, 90, 99, 115, 136, 162, 189, 213, 234, 249, 259, 265, 266, 263, 255, 240, 218, 191, 160, 130, 102, 78, 59, 45, 34, 26, 20, 15, 12, 10, 8, 7, 5, 3, 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, 1, 3, 5, 7, 8, 9, 8, 6, 5, 4, 5, 6, 9, 12, 16, 18, 20, 22, 22, 22, 22, 21, 20, 18, 16, 14, 12, 10, 9, 8, 7, 6, 5, 4, 3, 2, 2, 2, 3, 3, 4, 5, 5, 5, 4, 4, 3, 2, 2, 2, 3, 4, 6, 8, 10, 12, 13, 14, 15, 15, 16, 16, 17, 18, 18, 19, 21, 24, 29, 39, 53, 70, 91, 113, 136, 158, 180, 202, 222, 241, 256, 266, 270, 266, 256, 241, 222, 200, 177, 153, 130, 109, 90, 75, 65, 61, 63, 71, 83, 100, 120, 144, 168, 193, 216, 236, 249, 256, 256, 250, 237, 221, 202, 180, 157, 134, 112, 93, 77, 66, 61, 62, 69, 82, 101, 124, 150, 179, 209, 238, 266, 290, 310, 325, 335, 340, 341, 340, 338, 337, 337, 338, 340, 343, 346, 349, 352, 355, 356, 356, 356, 355, 356, 358, 364, 370, 376, 380, 380, 374, 361, 341, 316, 285, 251, 215, 180, 147, 119, 94, 75, 59, 46, 36, 29, 23, 19, 16, 13, 11, 8, 6, 4, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 5, 7, 9, 13, 20, 32, 49, 72, 100, 134, 169, 204, 238, 267, 291, 310, 323, 330, 331, 324, 309, 285, 254, 217, 179, 142, 109, 83, 62, 48, 38, 31, 26, 21, 18, 15, 13, 11, 10, 10, 8, 7, 4, 2, 1, 1, 2, 3, 4, 5, 4, 3, 3, 3, 5, 6, 8, 9, 10, 12, 13, 15, 17, 17, 17, 15, 12, 10, 8, 7, 7, 7, 7, 7, 7, 7, 8, 9, 9, 9, 8, 7, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 2, 2, 3, 3, 5, 6, 7, 7, 8, 8, 9, 10, 12, 14, 16, 19, 22, 26, 34, 46, 64, 88, 116, 148, 183, 217, 250, 280, 305, 322, 332, 333, 325, 307, 282, 251, 217, 181, 147, 115, 89, 67, 50, 37, 27, 20, 16, 13, 12, 11, 11, 10, 9, 7, 5, 3, 2, 2, 3, 3, 3, 3, 2, 0, 0, 0, 2, 4, 6, 7, 8, 7, 6, 5, 4, 5, 5, 6, 7, 8, 10, 14, 19, 28, 39, 52, 67, 86, 108, 134, 162, 190, 216, 236, 249, 253, 249, 238, 222, 202, 179, 155, 129, 103, 79, 57, 39, 26, 16, 10, 6, 3, 2, 3, 4, 5, 7, 7, 6, 5, 3, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 4, 5, 6, 6, 5, 4, 3, 2, 2, 1, 1, 1, 3, 7, 15, 27, 44, 66, 91, 118, 148, 179, 211, 244, 275, 304, 325, 338, 341, 335, 324, 309, 294, 282, 274, 269, 267, 268, 269, 270, 269, 263, 250, 230, 203, 172, 140, 111, 86, 68, 55, 47, 41, 35, 30, 24, 19, 16, 16, 17, 19, 21, 23, 23, 23, 24, 28, 35, 46, 63, 86, 114, 146, 181, 216, 249, 277, 300, 318, 329, 333, 330, 317, 295, 266, 231, 194, 158, 125, 97, 76, 61, 53, 53, 60, 76, 100, 130, 166, 207, 251, 296, 340, 379, 409, 426, 429, 418, 393, 358, 317, 272, 227, 185, 146, 113, 88, 70, 61, 60, 68, 82, 102, 127, 155, 184, 212, 236, 254, 262, 261, 250, 231, 206, 177, 147, 118, 92, 69, 50, 35, 23, 15, 9, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 4, 6, 8, 9, 9, 9, 8, 7, 7, 8, 8, 7, 7, 6, 7, 11, 19, 31, 48, 70, 98, 131, 168, 207, 246, 280, 306, 323, 329, 325, 311, 291, 264, 234, 201, 165, 130, 97, 68, 45, 30, 20, 15, 12, 9, 7, 5, 3, 2, 2, 3, 4, 5, 5, 5, 4, 4, 5, 5, 6, 7, 7, 8, 10, 14, 21, 32, 46, 65, 86, 110, 136, 163, 189, 214, 235, 250, 257, 257, 248, 232, 209, 182, 153, 122, 92, 66, 46, 32, 26, 28, 36, 51, 70, 95, 125, 160, 199, 240, 281, 319, 350, 371, 380, 375, 356, 326, 287, 244, 200, 158, 122, 92, 68, 50, 38, 29, 23, 18, 15, 13, 12, 11, 11, 12, 12, 11, 10, 8, 5, 4, 3, 4, 5, 7, 8, 8, 8, 7, 7, 8, 9, 10, 10, 11, 10, 10, 9, 7, 6, 6, 6, 8, 12, 17, 22, 26, 29, 29, 27, 25, 21, 18, 16, 14, 13, 12, 11, 10, 9, 9, 10, 11, 12, 14, 15, 17, 19, 20, 22, 22, 22, 22, 22, 22, 23, 24, 26, 28, 30, 35, 44, 59, 82, 113, 151, 195, 240, 283, 319, 346, 361, 362, 352, 331, 303, 270, 234, 197, 160, 126, 95, 69, 51, 40, 36, 40, 51, 68, 89, 115, 144, 175, 207, 237, 262, 279, 287, 286, 275, 256, 231, 201, 169, 136, 105, 76, 53, 36, 26, 22, 24, 31, 42, 58, 81, 110, 146, 186, 229, 268, 301, 324, 335, 334, 321, 298, 268, 232, 195, 157, 121, 89, 63, 43, 30, 22, 18, 17, 18, 18, 19, 19, 19, 19, 18, 17, 15, 14, 12, 11, 11, 11, 11, 12, 12, 13, 13, 13, 12, 11, 10, 9, 9, 10, 11, 12, 12, 13, 12, 11, 10, 8, 8, 7, 7, 7, 7, 8, 8, 7, 7, 6, 5, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 6, 12, 20, 33, 50, 74, 103, 136, 169, 201, 227, 245, 254, 253, 244, 227, 204, 177, 148, 120, 93, 69, 50, 34, 22, 13, 6, 2, 0, 0, 0, 1, 2, 3, 2, 1, 0, 0, 0, 3, 12, 26, 46, 72, 103, 137, 174, 210, 243, 273, 296, 312, 320, 319, 311, 298, 282, 268, 259, 257, 262, 272, 285, 294, 297, 292, 278, 257, 229, 197, 164, 130, 99, 70, 47, 30, 18, 10, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 4, 5, 6, 7, 7, 6, 6, 5, 3, 2, 2, 2, 3, 4, 6, 8, 9, 10, 11, 11, 11, 10, 10, 9, 8, 7, 6, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 6, 8, 9, 10, 12, 15, 18, 21, 24, 25, 24, 21, 18, 14, 12, 12, 12, 13, 14, 13, 12, 10, 10, 10, 12, 14, 16, 17, 17, 15, 13, 11, 9, 7, 7, 6, 5, 4, 3, 2, 0, 0, 0, 0, 2, 4, 6, 7, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 2, 1, 0, 0, 1, 2, 3, 4, 5, 5, 4, 3, 3, 3, 4, 6, 7, 8, 8, 9, 11, 13, 15, 17, 18, 19, 18, 16, 13, 11, 10, 10, 11, 15, 22, 33, 50, 73, 103, 137, 174, 211, 245, 271, 289, 295, 291, 275, 251, 219, 184, 148, 113, 83, 58, 39, 27, 20, 17, 18, 22, 29, 41, 57, 78, 103, 130, 156, 179, 196, 204, 204, 195, 179, 159, 135, 110, 86, 65, 47, 32, 21, 13, 9, 6, 6, 6, 8, 9, 9, 10, 10, 10, 11, 11, 12, 13, 13, 13, 13, 13, 14, 14, 16, 17, 18, 20, 21, 23, 24, 25, 26, 26, 26, 25, 23, 21, 18, 14, 11, 7, 5, 5, 6, 7, 9, 10, 10, 9, 8, 7, 6, 6, 6, 7, 9, 11, 14, 16, 17, 16, 14, 11, 8, 7, 9, 15, 25, 38, 54, 75, 99, 128, 161, 197, 233, 266, 293, 311, 318, 315, 305, 292, 281, 277, 280, 292, 309, 328, 344, 354, 355, 348, 332, 311, 287, 264, 246, 236, 233, 238, 247, 257, 263, 262, 252, 233, 208, 176, 141, 106, 74, 46, 24, 10, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 5, 6, 6, 5, 5, 4, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 10, 27, 51, 85, 125, 170, 217, 263, 305, 339, 362, 370, 361, 336, 297, 248, 196, 144, 97, 60, 32, 15, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 8, 10, 11, 11, 11, 10, 9, 8, 7, 5, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 8, 19, 37, 65, 104, 153, 208, 265, 316, 356, 381, 388, 379, 353, 316, 269, 218, 166, 118, 78, 46, 24, 11, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 7, 7, 6, 4, 2, 0, 0, 1, 2, 5, 10, 19, 33, 57, 92, 137, 190, 248, 306, 356, 393, 414, 417, 401, 369, 324, 272, 217, 165, 118, 79, 49, 28, 16, 13, 17, 29, 48, 76, 113, 158, 210, 265, 319, 366, 400, 417, 414, 392, 355, 307, 254, 200, 149, 104, 66, 37, 18, 8, 5, 10, 20, 34, 54, 80, 110, 146, 185, 223, 257, 283, 296, 296, 281, 254, 219, 178, 138, 101, 70, 46, 29, 17, 10, 5, 3, 2, 2, 2, 2, 2, 1, 1, 1, 2, 3, 6, 11, 19, 31, 49, 74, 106, 144, 187, 229, 267, 296, 314, 319, 312, 298, 279, 261, 247, 239, 240, 249, 264, 281, 297, 307, 307, 295, 269, 233, 190, 144, 102, 66, 39, 20, 8, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 5, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 3, 8, 17, 32, 52, 80, 115, 158, 207, 259, 311, 356, 389, 405, 403, 382, 346, 299, 247, 194, 145, 103, 68, 42, 24, 13, 8, 6, 5, 6, 6, 6, 5, 4, 2, 1, 0, 0, 0, 3, 9, 21, 41, 69, 107, 153, 205, 257, 305, 343, 365, 371, 360, 334, 297, 252, 205, 158, 115, 79, 52, 33, 24, 22, 25, 33, 45, 64, 91, 127, 171, 221, 273, 319, 355, 376, 381, 371, 351, 326, 303, 289, 287, 299, 324, 358, 392, 421, 435, 432, 409, 368, 315, 255, 195, 140, 94, 58, 32, 15, 5, 0, 0, 0, 2, 4, 5, 6, 6, 6, 5, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 15, 33, 61, 97, 139, 184, 226, 260, 282, 290, 282, 261, 228, 189, 147, 106, 70, 41, 21, 8, 1, 0, 0, 0, 7, 20, 43, 78, 124, 179, 240, 301, 357, 402, 431, 438, 423, 387, 336, 274, 211, 153, 104, 67, 42, 29, 23, 22, 24, 25, 25, 24, 22, 19, 15, 12, 9, 7, 6, 5, 5, 4, 4, 3, 1, 0, 0, 0, 1, 2, 4, 5, 6, 7, 7, 8, 8, 7, 7, 6, 5, 4, 5, 7, 11, 17, 27, 43, 67, 99, 142, 193, 250, 309, 362, 404, 428, 431, 411, 373, 320, 259, 198, 143, 96, 61, 37, 22, 15, 12, 12, 14, 15, 16, 16, 16, 14, 12, 9, 7, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 20, 42, 75, 117, 165, 214, 259, 296, 319, 324, 312, 284, 243, 194, 145, 101, 65, 39, 22, 12, 7, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 8, 8, 9, 8, 8, 7, 7, 7, 7, 8, 9, 9, 10, 10, 9, 8, 6, 4, 2, 1, 1, 2, 3, 5, 6, 6, 6, 4, 3, 2, 2, 4, 6, 10, 12, 14, 14, 12, 10, 8, 8, 8, 10, 12, 13, 12, 11, 8, 6, 5, 6, 11, 20, 34, 53, 78, 107, 140, 173, 204, 227, 240, 241, 232, 218, 205, 200, 209, 235, 277, 328, 381, 427, 457, 466, 451, 413, 357, 290, 221, 157, 103, 61, 33, 16, 8, 6, 9, 17, 29, 49, 76, 114, 162, 219, 283, 346, 402, 442, 461, 456, 426, 376, 313, 245, 180, 123, 79, 48, 28, 19, 16, 17, 20, 22, 22, 21, 19, 17, 15, 13, 12, 11, 11, 11, 11, 12, 13, 13, 13, 13, 11, 9, 8, 8, 8, 8, 8, 8, 8, 7, 7, 8, 9, 9, 10, 9, 9, 8, 8, 9, 11, 12, 12, 11, 8, 5, 3, 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, 2, 5, 9, 12, 14, 15, 15, 13, 12, 10, 9, 8, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 8, 11, 14, 15, 16, 15, 15, 15, 16, 17, 17, 17, 15, 11, 7, 4, 3, 4, 9, 16, 25, 33, 39, 43, 44, 43, 41, 38, 35, 32, 28, 24, 20, 16, 12, 9, 8, 8, 9, 11, 13, 13, 13, 10, 7, 4, 1, 0, 0, 1, 2, 4, 5, 5, 4, 3, 2, 1, 1, 1, 1, 1, 2, 4, 8, 17, 34, 61, 101, 154, 217, 287, 355, 410, 446, 455, 436, 390, 327, 255, 184, 121, 72, 38, 17, 6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 9, 26, 55, 98, 153, 216, 284, 347, 398, 430, 437, 417, 373, 312, 241, 171, 109, 60, 28, 9, 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, 3, 12, 29, 57, 99, 155, 221, 294, 364, 424, 462, 473, 455, 411, 347, 274, 200, 135, 84, 48, 25, 13, 8, 7, 8, 10, 12, 14, 15, 15, 14, 13, 12, 11, 11, 11, 12, 13, 15, 17, 18, 18, 16, 14, 10, 7, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 9, 12, 14, 16, 17, 18, 18, 17, 16, 15, 13, 10, 7, 6, 6, 10, 18, 34, 57, 90, 132, 181, 233, 282, 320, 341, 341, 319, 280, 229, 175, 124, 82, 50, 29, 15, 8, 4, 1, 0, 1, 7, 22, 51, 96, 157, 233, 314, 391, 452, 489, 496, 473, 426, 365, 302, 248, 213, 202, 215, 246, 286, 325, 351, 358, 343, 306, 255, 197, 139, 89, 50, 24, 8, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 3, 10, 24, 48, 83, 132, 194, 266, 341, 409, 459, 482, 472, 432, 366, 287, 207, 135, 79, 40, 16, 4, 0, 0, 0, 0, 1, 3, 5, 6, 6, 5, 4, 3, 3, 5, 8, 10, 12, 11, 8, 4, 1, 0, 0, 0, 0, 0, 0, 0, 8, 24, 51, 90, 138, 189, 239, 278, 302, 307, 292, 258, 212, 160, 110, 66, 34, 13, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 6, 11, 19, 31, 50, 76, 110, 149, 191, 229, 258, 273, 272, 256, 227, 188, 146, 105, 68, 40, 19, 7, 1, 0, 0, 0, 5, 16, 38, 73, 124, 188, 259, 330, 391, 432, 447, 435, 399, 347, 290, 242, 211, 205, 224, 262, 308, 350, 376, 379, 358, 320, 275, 236, 215, 222, 259, 319, 392, 462, 513, 535, 521, 474, 401, 314, 226, 148, 86, 42, 16, 3, 0, 1, 5, 7, 9, 9, 8, 7, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 1, 3, 3, 4, 4, 4, 4, 6, 8, 11, 13, 15, 14, 12, 9, 6, 2, 0, 0, 0, 0, 0, 0, 0, 3, 15, 36, 70, 114, 165, 218, 264, 297, 311, 304, 276, 233, 182, 129, 81, 44, 19, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 11, 35, 75, 133, 207, 289, 371, 440, 486, 502, 484, 435, 364, 281, 198, 126, 70, 33, 12, 5, 4, 7, 11, 14, 16, 17, 17, 16, 14, 11, 7, 5, 3, 1, 0, 0, 0, 0, 8, 28, 63, 115, 182, 259, 337, 406, 454, 475, 464, 423, 359, 282, 204, 134, 78, 40, 17, 6, 2, 2, 3, 5, 8, 13, 26, 48, 85, 137, 203, 277, 352, 415, 455, 466, 445, 396, 326, 248, 173, 108, 59, 27, 9, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 11, 15, 18, 20, 21, 21, 19, 17, 16, 15, 14, 12, 11, 9, 6, 3, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 2, 1, 0, 0, 0, 2, 4, 7, 9, 10, 9, 8, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 6, 8, 11, 12, 14, 16, 17, 19, 21, 23, 24, 24, 23, 22, 21, 19, 18, 16, 15, 15, 16, 18, 20, 22, 23, 24, 23, 21, 19, 16, 14, 11, 9, 7, 5, 3, 2, 3, 3, 4, 5, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 8, 12, 15, 18, 21, 23, 26, 28, 28, 27, 24, 20, 17, 14, 12, 11, 12, 16, 24, 42, 73, 120, 183, 258, 336, 406, 456, 477, 467, 429, 372, 309, 256, 226, 227, 261, 320, 392, 461, 511, 529, 511, 461, 390, 315, 253, 221, 224, 262, 323, 392, 450, 483, 482, 448, 391, 325, 266, 229, 226, 257, 318, 395, 473, 533, 561, 550, 500, 418, 320, 220, 133, 68, 27, 6, 0, 0, 0, 4, 12, 29, 59, 103, 159, 223, 286, 340, 375, 385, 368, 328, 277, 226, 192, 184, 208, 258, 325, 394, 447, 474, 466, 424, 355, 272, 188, 114, 58, 22, 5, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 3, 4, 6, 8, 9, 8, 7, 6, 4, 4, 4, 4, 5, 4, 2, 1, 5, 17, 42, 83, 138, 202, 268, 325, 366, 382, 372, 339, 287, 225, 162, 104, 58, 26, 7, 0, 0, 0, 0, 1, 4, 14, 37, 77, 137, 217, 309, 403, 484, 538, 554, 530, 471, 390, 304, 232, 188, 181, 208, 259, 321, 377, 412, 419, 396, 349, 289, 233, 194, 183, 207, 260, 334, 412, 477, 513, 510, 470, 398, 309, 217, 137, 75, 36, 16, 10, 11, 14, 17, 17, 18, 21, 32, 57, 99, 161, 239, 326, 410, 479, 519, 523, 488, 421, 333, 237, 149, 78, 31, 7, 0, 0, 1, 1, 0, 0, 7, 27, 63, 113, 171, 230, 281, 314, 325, 312, 276, 224, 166, 109, 61, 27, 8, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 10, 15, 20, 23, 24, 24, 22, 20, 17, 15, 13, 12, 10, 9, 7, 5, 5, 5, 6, 8, 9, 11, 11, 11, 9, 8, 7, 7, 7, 7, 6, 5, 3, 2, 1, 1, 1, 0, 0, 0, 5, 23, 59, 117, 195, 286, 377, 453, 500, 510, 480, 419, 340, 261, 200, 169, 174, 211, 268, 330, 379, 403, 395, 356, 293, 218, 144, 81, 37, 11, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 3, 5, 6, 6, 6, 6, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 3, 17, 48, 99, 172, 259, 352, 435, 496, 523, 512, 465, 389, 299, 207, 126, 65, 25, 4, 0, 0, 1, 3, 3, 5, 12, 28, 59, 106, 169, 241, 313, 373, 410, 416, 391, 337, 266, 190, 120, 65, 27, 7, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 6, 8, 12, 16, 21, 23, 24, 23, 20, 16, 11, 8, 5, 3, 2, 0, 0, 2, 10, 30, 66, 121, 193, 275, 358, 426, 466, 469, 434, 370, 294, 227, 190, 196, 247, 335, 440, 538, 608, 633, 606, 533, 428, 310, 198, 108, 45, 11, 0, 0, 1, 5, 7, 8, 8, 8, 8, 8, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 3, 4, 5, 6, 8, 11, 15, 18, 21, 22, 21, 17, 13, 8, 5, 4, 4, 5, 5, 3, 1, 2, 14, 43, 95, 171, 266, 368, 462, 530, 559, 542, 483, 397, 302, 223, 179, 180, 226, 303, 393, 471, 520, 525, 486, 410, 313, 213, 125, 60, 20, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 1, 3, 4, 5, 4, 3, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 9, 36, 84, 154, 240, 331, 411, 465, 483, 460, 401, 319, 229, 145, 78, 32, 7, 0, 0, 0, 3, 3, 0, 0, 0, 11, 44, 103, 190, 297, 412, 514, 585, 610, 584, 512, 408, 291, 182, 95, 37, 7, 0, 0, 1, 2, 0, 0, 8, 31, 73, 135, 211, 291, 362, 412, 429, 411, 361, 288, 207, 131, 70, 29, 6, 0, 0, 4, 8, 9, 9, 8, 6, 6, 8, 10, 13, 17, 19, 20, 19, 17, 14, 11, 7, 5, 3, 1, 0, 0, 0, 0, 1, 3, 6, 9, 12, 14, 14, 13, 11, 10, 11, 12, 15, 15, 14, 10, 9, 16, 40, 88, 163, 259, 365, 464, 537, 567, 549, 487, 392, 284, 182, 99, 43, 11, 0, 0, 0, 1, 0, 0, 0, 5, 19, 48, 99, 173, 270, 380, 486, 569, 611, 601, 540, 440, 320, 204, 108, 43, 8, 0, 0, 5, 9, 10, 9, 7, 6, 7, 9, 12, 16, 19, 22, 24, 25, 24, 22, 19, 16, 15, 16, 18, 21, 23, 26, 27, 27, 27, 26, 24, 22, 20, 17, 16, 16, 17, 18, 18, 17, 14, 13, 18, 35, 71, 129, 207, 296, 385, 457, 499, 502, 465, 396, 306, 212, 129, 65, 24, 3, 0, 0, 2, 4, 4, 0, 0, 0, 13, 50, 113, 203, 311, 421, 514, 571, 580, 540, 460, 354, 243, 144, 70, 24, 3, 0, 0, 3, 4, 4, 2, 2, 2, 4, 6, 7, 8, 9, 11, 14, 18, 22, 25, 27, 26, 23, 18, 12, 7, 4, 3, 3, 2, 1, 0, 0, 13, 46, 107, 198, 313, 436, 549, 629, 659, 633, 555, 441, 313, 194, 100, 39, 7, 0, 0, 3, 7, 10, 13, 16, 18, 20, 19, 16, 11, 7, 4, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 17, 55, 119, 206, 306, 402, 477, 514, 505, 451, 364, 261, 162, 82, 29, 3, 0, 0, 3, 4, 3, 0, 0, 0, 0, 0, 2, 4, 5, 6, 7, 7, 7, 6, 5, 5, 5, 5, 6, 7, 8, 8, 9, 9, 8, 6, 5, 3, 1, 0, 0, 0, 0, 1, 2, 3, 5, 5, 5, 5, 4, 5, 6, 7, 9, 10, 10, 10, 8, 7, 6, 6, 6, 6, 6, 6, 6, 7, 9, 13, 17, 23, 28, 30, 30, 26, 19, 12, 6, 2, 2, 3, 4, 1, 0, 0, 15, 58, 132, 236, 359, 481, 578, 629, 624, 563, 460, 336, 214, 114, 46, 9, 0, 0, 4, 10, 14, 17, 19, 21, 22, 21, 18, 15, 11, 8, 6, 4, 3, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 3, 1, 0, 0, 8, 38, 93, 174, 272, 371, 453, 500, 502, 458, 378, 278, 178, 94, 37, 7, 0, 0, 2, 4, 3, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 5, 5, 4, 3, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 3, 3, 0, 0, 0, 17, 54, 117, 202, 298, 388, 451, 473, 449, 384, 295, 207, 144, 126, 161, 244, 356, 471, 560, 600, 581, 508, 399, 279, 178, 119, 111, 154, 233, 323, 402, 448, 451, 409, 334, 243, 153, 80, 30, 5, 0, 0, 2, 3, 2, 0, 0, 0, 2, 3, 3, 1, 0, 0, 0, 2, 3, 1, 0, 0, 12, 46, 107, 193, 296, 398, 480, 523, 518, 465, 375, 268, 165, 83, 28, 1, 0, 0, 4, 6, 5, 1, 0, 0, 8, 35, 83, 152, 236, 322, 395, 439, 444, 408, 338, 250, 161, 86, 34, 6, 0, 0, 2, 4, 3, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 4, 3, 1, 0, 0, 0, 1, 3, 3, 0, 0, 3, 30, 87, 180, 303, 439, 565, 654, 685, 651, 558, 427, 286, 161, 69, 17, 0, 0, 2, 7, 7, 4, 2, 1, 2, 4, 7, 8, 10, 12, 15, 17, 19, 20, 20, 19, 18, 16, 14, 10, 6, 3, 2, 2, 2, 1, 0, 0, 14, 50, 118, 218, 341, 469, 577, 640, 643, 584, 477, 347, 229, 151, 134, 182, 282, 407, 524, 602, 620, 572, 472, 345, 226, 146, 129, 180, 288, 427, 564, 665, 705, 677, 586, 454, 310, 179, 80, 21, 0, 0, 4, 9, 8, 1, 0, 0, 27, 82, 168, 276, 391, 491, 555, 568, 527, 440, 327, 214, 128, 88, 103, 168, 266, 372, 461, 512, 513, 464, 379, 275, 173, 90, 34, 6, 0, 0, 3, 4, 3, 0, 0, 0, 0, 3, 6, 8, 10, 11, 12, 14, 18, 22, 25, 28, 28, 26, 21, 14, 8, 2, 0, 0, 0, 2, 2, 0, 0, 2, 21, 66, 140, 239, 352, 457, 532, 561, 534, 459, 352, 236, 133, 58, 15, 0, 0, 0, 3, 5, 4, 2, 0, 0, 0, 22, 69, 147, 249, 362, 464, 532, 551, 515, 432, 322, 208, 111, 44, 8, 0, 0, 3, 6, 5, 2, 0, 0, 1, 3, 5, 6, 7, 8, 9, 11, 13, 14, 16, 17, 17, 16, 12, 7, 2, 0, 0, 0, 5, 7, 4, 0, 0, 10, 56, 142, 265, 409, 546, 646, 686, 656, 564, 432, 289, 163, 71, 18, 0, 0, 2, 6, 5, 2, 0, 0, 0, 0, 2, 3, 3, 3, 3, 4, 5, 7, 7, 6, 4, 1, 0, 0, 0, 2, 5, 6, 3, 0, 0, 16, 58, 131, 233, 354, 471, 560, 602, 584, 509, 393, 265, 154, 88, 79, 129, 221, 330, 426, 484, 489, 442, 355, 250, 149, 71, 22, 0, 0, 1, 6, 6, 4, 1, 0, 1, 3, 5, 5, 4, 2, 0, 0, 0, 1, 4, 6, 3, 0, 0, 14, 59, 139, 250, 378, 499, 584, 614, 579, 486, 358, 225, 121, 73, 94, 181, 313, 460, 584, 655, 656, 588, 469, 327, 193, 90, 26, 0, 0, 2, 9, 11, 10, 8, 7, 7, 8, 7, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 7, 7, 7, 6, 4, 1, 0, 0, 0, 1, 5, 6, 3, 0, 0, 12, 56, 137, 249, 379, 500, 586, 617, 584, 497, 375, 247, 136, 57, 13, 0, 0, 4, 8, 8, 4, 1, 0, 1, 4, 6, 7, 7, 6, 5, 6, 7, 7, 4, 0, 0, 8, 43, 110, 209, 332, 459, 564, 624, 624, 563, 456, 326, 201, 100, 34, 2, 0, 0, 6, 11, 12, 9, 4, 0, 0, 6, 37, 99, 196, 321, 458, 581, 664, 685, 640, 538, 401, 260, 139, 54, 8, 0, 0, 5, 11, 11, 5, 0, 0, 5, 40, 107, 206, 327, 453, 556, 615, 612, 544, 426, 284, 151, 62, 40, 96, 220, 386, 556, 691, 760, 747, 659, 517, 356, 207, 95, 27, 0, 0, 3, 10, 12, 11, 8, 6, 5, 6, 6, 5, 4, 3, 4, 7, 11, 15, 18, 19, 18, 15, 10, 4, 0, 0, 0, 4, 8, 7, 2, 0, 0, 27, 93, 202, 345, 499, 633, 717, 728, 665, 542, 389, 238, 116, 36, 0, 0, 0, 10, 15, 11, 0, 0, 0, 32, 106, 220, 366, 520, 652, 731, 740, 676, 554, 402, 251, 127, 44, 3, 0, 0, 8, 11, 7, 0, 0, 2, 33, 90, 171, 265, 356, 423, 452, 434, 373, 286, 190, 105, 43, 9, 0, 0, 3, 6, 7, 5, 3, 4, 6, 8, 9, 7, 4, 1, 0, 1, 3, 5, 3, 0, 0, 6, 37, 99, 188, 296, 400, 479, 511, 489, 417, 314, 203, 108, 41, 5, 0, 0, 4, 6, 5, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 8, 9, 9, 9, 9, 10, 13, 17, 21, 25, 25, 22, 15, 7, 0, 0, 0, 4, 7, 6, 0, 0, 7, 52, 143, 280, 447, 615, 746, 807, 782, 676, 516, 341, 185, 74, 13, 0, 0, 7, 14, 16, 14, 13, 16, 20, 24, 26, 23, 17, 10, 4, 1, 2, 4, 6, 3, 0, 0, 12, 54, 132, 243, 373, 497, 586, 618, 584, 492, 364, 230, 117, 40, 2, 0, 0, 7, 9, 7, 2, 0, 0, 0, 4, 6, 6, 5, 4, 3, 3, 4, 5, 6, 7, 8, 7, 6, 4, 1, 0, 0, 1, 6, 9, 7, 1, 0, 0, 31, 103, 217, 362, 512, 635, 701, 693, 612, 480, 328, 187, 82, 21, 0, 0, 3, 8, 8, 4, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 2, 1, 1, 2, 2, 3, 5, 7, 11, 15, 19, 23, 24, 22, 19, 15, 11, 10, 12, 16, 22, 28, 34, 36, 36, 32, 26, 19, 14, 12, 13, 13, 10, 2, 0, 1, 32, 104, 218, 367, 524, 658, 736, 735, 654, 510, 340, 188, 96, 90, 176, 336, 529, 710, 831, 861, 793, 641, 442, 245, 96, 31, 63, 180, 351, 531, 674, 744, 728, 631, 482, 318, 172, 68, 12, 0, 0, 8, 14, 13, 8, 3, 0, 1, 3, 6, 9, 11, 13, 15, 18, 21, 24, 27, 28, 28, 24, 19, 13, 8, 6, 7, 9, 8, 3, 0, 0, 22, 79, 174, 302, 442, 566, 643, 652, 587, 464, 311, 166, 65, 31, 68, 163, 288, 409, 494, 524, 492, 409, 299, 187, 94, 32, 3, 0, 0, 6, 7, 5, 0, 0, 0, 1, 6, 9, 10, 9, 5, 1, 0, 0, 3, 6, 6, 0, 0, 1, 31, 97, 202, 334, 471, 581, 637, 624, 544, 418, 277, 151, 60, 10, 0, 0, 5, 9, 8, 5, 1, 1, 2, 3, 3, 1, 0, 0, 1, 5, 6, 3, 0, 0, 11, 54, 132, 239, 360, 467, 534, 543, 492, 394, 274, 160, 72, 19, 0, 0, 0, 3, 5, 5, 4, 1, 0, 0, 4, 35, 99, 195, 312, 428, 515, 549, 520, 437, 320, 198, 97, 31, 0, 0, 0, 6, 8, 5, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 5, 8, 10, 10, 9, 7, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 5, 7, 8, 10, 10, 11, 10, 10, 10, 11, 12, 13, 14, 14, 13, 14, 16, 19, 23, 25, 23, 17, 9, 1, 0, 0, 4, 8, 7, 0, 0, 1, 39, 119, 243, 394, 541, 649, 691, 654, 549, 404, 253, 127, 44, 3, 0, 0, 2, 5, 5, 4, 3, 0, 0, 0, 13, 64, 156, 288, 438, 576, 666, 684, 623, 500, 347, 200, 87, 20, 0, 0, 4, 11, 11, 5, 0, 0, 0, 1, 4, 5, 6, 5, 5, 5, 5, 7, 8, 9, 10, 11, 12, 11, 10, 9, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 5, 7, 10, 12, 13, 14, 14, 14, 14, 13, 12, 11, 9, 8, 7, 6, 6, 7, 9, 12, 15, 18, 20, 20, 18, 14, 10, 7, 7, 9, 11, 8, 2, 0, 0, 29, 93, 195, 325, 461, 571, 627, 612, 527, 391, 239, 110, 37, 35, 103, 219, 349, 456, 512, 503, 434, 328, 210, 109, 39, 4, 0, 0, 6, 8, 6, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 4, 4, 4, 5, 6, 8, 9, 9, 9, 7, 6, 6, 7, 10, 14, 18, 20, 19, 17, 12, 8, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 4, 6, 8, 10, 12, 13, 12, 10, 7, 4, 2, 1, 2, 4, 7, 10, 12, 13, 13, 13, 12, 11, 11, 12, 13, 14, 13, 12, 10, 8, 5, 3, 2, 2, 4, 6, 8, 9, 10, 11, 10, 10, 9, 8, 8, 7, 7, 6, 6, 4, 3, 1, 0, 0, 0, 1, 4, 7, 9, 10, 10, 8, 7, 5, 5, 5, 6, 7, 9, 10, 11, 12, 14, 15, 16, 16, 15, 13, 10, 9, 10, 13, 15, 14, 6, 0, 0, 16, 71, 168, 299, 442, 567, 642, 647, 580, 460, 317, 183, 81, 20, 0, 0, 0, 6, 9, 9, 6, 0, 0, 0, 18, 75, 172, 302, 441, 558, 623, 616, 539, 413, 270, 143, 53, 6, 0, 0, 7, 11, 8, 3, 0, 0, 0, 1, 3, 3, 2, 1, 0, 0, 0, 0, 1, 2, 4, 6, 7, 7, 5, 1, 0, 0, 0, 6, 10, 8, 1, 0, 0, 35, 114, 235, 383, 527, 630, 666, 623, 514, 367, 220, 101, 27, 0, 0, 3, 13, 15, 12, 8, 5, 5, 8, 11, 13, 13, 13, 12, 12, 12, 12, 14, 16, 18, 19, 20, 19, 17, 14, 12, 10, 9, 10, 10, 11, 11, 11, 11, 10, 10, 10, 9, 9, 9, 10, 12, 15, 17, 20, 20, 19, 16, 11, 6, 2, 0, 0, 1, 4, 6, 7, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 7, 7, 7, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 1, 3, 6, 8, 11, 12, 12, 12, 11, 10, 9, 9, 9, 10, 11, 12, 12, 11, 10, 9, 9, 10, 12, 14, 16, 18, 19, 19, 18, 17, 15, 14, 14, 14, 16, 19, 23, 26, 27, 26, 21, 14, 8, 5, 7, 11, 14, 10, 0, 0, 3, 52, 150, 297, 470, 633, 745, 775, 714, 579, 406, 236, 104, 25, 0, 0, 6, 15, 17, 13, 9, 10, 15, 23, 30, 32, 29, 21, 11, 2, 0, 1, 6, 9, 7, 0, 0, 7, 51, 137, 263, 408, 542, 631, 648, 585, 453, 287, 130, 25, 2, 72, 219, 406, 586, 713, 755, 705, 581, 417, 253, 121, 38, 0, 0, 0, 10, 16, 17, 15, 11, 3, 0, 0, 25, 90, 199, 343, 500, 633, 709, 704, 613, 456, 271, 107, 9, 5, 103, 281, 497, 697, 831, 866, 796, 644, 451, 265, 120, 31, 0, 0, 1, 13, 18, 16, 7, 0, 0, 0, 50, 148, 292, 462, 620, 724, 745, 676, 536, 364, 202, 81, 12, 0, 0, 9, 18, 17, 10, 2, 0, 0, 3, 7, 9, 8, 4, 0, 0, 0, 4, 12, 14, 8, 0, 0, 17, 96, 237, 428, 632, 800, 886, 864, 742, 554, 349, 173, 55, 0, 0, 0, 12, 16, 10, 1, 0, 0, 0, 5, 7, 7, 5, 3, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 4, 3, 2, 2, 2, 3, 4, 6, 7, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 1, 2, 5, 7, 9, 8, 6, 1, 0, 0, 0, 6, 12, 12, 4, 0, 0, 29, 111, 244, 411, 578, 703, 750, 706, 583, 416, 247, 112, 28, 0, 0, 4, 14, 16, 12, 8, 6, 7, 10, 11, 11, 9, 7, 7, 9, 12, 15, 18, 20, 21, 20, 18, 16, 14, 13, 12, 11, 11, 11, 10, 9, 7, 5, 3, 1, 0, 0, 0, 2, 6, 10, 15, 19, 21, 22, 21, 20, 20, 20, 21, 23, 24, 26, 28, 29, 28, 24, 18, 10, 3, 1, 5, 12, 16, 14, 3, 0, 0, 47, 153, 315, 514, 708, 849, 897, 834, 673, 454, 231, 61, 0, 24, 164, 369, 586, 757, 839, 813, 690, 508, 315, 153, 47, 0, 0, 3, 14, 17, 13, 5, 0, 0, 1, 3, 4, 4, 3, 3, 4, 5, 6, 5, 4, 2, 0, 0, 0, 0, 0, 1, 1, 2, 4, 5, 6, 7, 7, 6, 4, 2, 1, 0, 0, 0, 0, 1, 3, 6, 9, 11, 10, 7, 4, 2, 3, 9, 15, 15, 7, 0, 0, 19, 90, 214, 375, 542, 674, 732, 700, 583, 411, 227, 75, 0, 0, 72, 215, 386, 540, 639, 658, 594, 467, 313, 169, 64, 7, 0, 0, 11, 19, 19, 14, 9, 6, 6, 7, 7, 7, 6, 5, 5, 7, 9, 10, 12, 12, 10, 8, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 4, 4, 5, 7, 9, 13, 17, 19, 18, 13, 6, 0, 0, 0, 7, 14, 13, 3, 0, 0, 40, 143, 306, 504, 696, 829, 867, 796, 639, 439, 247, 101, 17, 0, 0, 9, 17, 16, 7, 0, 0, 0, 0, 2, 4, 4, 5, 5, 6, 7, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 3, 3, 2, 0, 0, 0, 0, 6, 12, 11, 2, 0, 0, 33, 118, 252, 415, 572, 681, 710, 651, 521, 356, 198, 79, 12, 0, 0, 8, 15, 14, 7, 0, 0, 0, 2, 6, 8, 10, 11, 12, 14, 15, 15, 13, 9, 5, 2, 0, 0, 1, 3, 6, 8, 8, 6, 4, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 6, 9, 6, 0, 0, 3, 41, 115, 220, 338, 440, 498, 495, 432, 327, 209, 105, 33, 0, 0, 1, 11, 17, 16, 14, 12, 13, 16, 20, 21, 18, 13, 7, 5, 8, 15, 19, 15, 3, 0, 0, 46, 154, 320, 518, 705, 829, 856, 775, 611, 409, 220, 82, 7, 0, 0, 13, 23, 21, 14, 6, 3, 4, 6, 7, 7, 5, 3, 2, 2, 4, 7, 9, 11, 13, 14, 13, 12, 10, 8, 7, 7, 9, 12, 16, 19, 20, 20, 19, 17, 14, 13, 12, 12, 14, 15, 16, 15, 14, 12, 9, 7, 6, 5, 5, 6, 6, 5, 3, 1, 0, 0, 1, 3, 5, 6, 6, 4, 3, 1, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 6, 7, 6, 5, 5, 4, 5, 6, 7, 8, 10, 12, 14, 16, 19, 19, 17, 13, 7, 2, 2, 6, 13, 16, 11, 0, 0, 4, 56, 160, 312, 485, 642, 738, 744, 655, 490, 293, 116, 4, 0, 74, 239, 443, 633, 761, 793, 722, 565, 364, 169, 29, 0, 34, 184, 394, 615, 791, 876, 848, 712, 503, 276, 89, 0, 0, 122, 321, 548, 742, 853, 856, 752, 575, 374, 195, 70, 6, 0, 0, 12, 15, 10, 1, 0, 0, 4, 11, 13, 11, 5, 1, 1, 6, 12, 14, 7, 0, 0, 15, 81, 194, 338, 483, 591, 628, 585, 474, 328, 185, 75, 13, 0, 0, 6, 13, 11, 4, 0, 0, 0, 2, 6, 7, 6, 2, 0, 0, 0, 4, 10, 11, 5, 0, 0, 17, 83, 194, 336, 478, 584, 622, 581, 472, 328, 187, 77, 14, 0, 0, 6, 13, 11, 4, 0, 0, 0, 3, 7, 7, 4, 0, 0, 0, 3, 12, 16, 11, 0, 0, 6, 75, 206, 389, 589, 756, 843, 823, 702, 515, 315, 147, 40, 0, 0, 4, 16, 17, 10, 1, 0, 0, 0, 3, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 8, 7, 6, 5, 5, 5, 7, 8, 9, 8, 7, 4, 2, 1, 1, 2, 5, 7, 9, 10, 9, 7, 4, 2, 0, 0, 0, 0, 0, 2, 3, 6, 8, 9, 11, 11, 10, 8, 6, 4, 4, 6, 9, 11, 10, 6, 1, 0, 0, 7, 15, 16, 8, 0, 0, 17, 97, 236, 420, 609, 754, 815, 771, 637, 451, 263, 114, 24, 0, 0, 7, 17, 17, 10, 3, 1, 4, 10, 15, 16, 15, 12, 11, 11, 13, 15, 17, 17, 15, 11, 7, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 5, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 8, 11, 14, 16, 16, 15, 12, 9, 7, 6, 8, 8, 7, 3, 0, 0, 0, 8, 14, 13, 4, 0, 0, 38, 137, 292, 484, 668, 797, 831, 756, 589, 375, 170, 28, 0, 38, 178, 359, 530, 645, 674, 614, 485, 327, 179, 69, 10, 0, 0, 10, 17, 15, 8, 1, 0, 0, 2, 5, 7, 8, 9, 9, 10, 10, 10, 10, 10, 12, 13, 14, 12, 7, 2, 0, 2, 9, 15, 15, 6, 0, 0, 31, 121, 269, 456, 640, 776, 822, 763, 613, 410, 204, 47, 0, 1, 122, 311, 521, 702, 807, 810, 712, 544, 351, 180, 61, 1, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 0, 0, 15, 21, 18, 9, 2, 0, 2, 6, 10, 12, 12, 11, 9, 7, 5, 4, 3, 2, 2, 1, 2, 2, 3, 5, 7, 8, 8, 7, 5, 3, 3, 4, 5, 4, 1, 0, 0, 0, 6, 12, 13, 6, 0, 0, 21, 99, 229, 396, 564, 689, 734, 686, 559, 389, 221, 92, 16, 0, 0, 8, 19, 20, 14, 7, 3, 1, 2, 3, 4, 6, 9, 11, 13, 13, 11, 7, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 3, 2, 1, 0, 0, 0, 0, 0, 1, 2, 3, 5, 6, 7, 9, 10, 12, 12, 11, 8, 5, 3, 2, 3, 6, 10, 13, 15, 15, 13, 10, 7, 4, 3, 3, 4, 5, 6, 7, 8, 10, 12, 13, 13, 12, 9, 5, 2, 3, 7, 13, 15, 9, 0, 0, 2, 49, 140, 266, 403, 515, 568, 548, 459, 329, 194, 85, 18, 0, 0, 5, 14, 15, 12, 8, 6, 8, 11, 13, 13, 11, 10, 10, 11, 13, 15, 15, 14, 11, 8, 6, 5, 5, 5, 6, 6, 5, 4, 2, 1, 0, 0, 0, 2, 4, 5, 6, 6, 6, 5, 4, 3, 3, 3, 3, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 6, 6, 5, 3, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 2, 4, 7, 10, 12, 12, 11, 9, 7, 5, 5, 5, 7, 6, 4, 1, 0, 0, 1, 8, 12, 10, 1, 0, 0, 39, 128, 260, 415, 554, 639, 645, 569, 435, 279, 141, 45, 0, 0, 0, 14, 19, 17, 10, 5, 2, 3, 6, 9, 12, 14, 17, 20, 23, 24, 24, 22, 19, 18, 17, 17, 17, 15, 12, 10, 11, 16, 22, 23, 15, 0, 0, 5, 71, 198, 376, 575, 745, 842, 834, 721, 532, 314, 121, 0, 0, 55, 225, 446, 662, 819, 875, 816, 662, 458, 258, 105, 17, 0, 0, 13, 24, 24, 17, 11, 10, 15, 20, 22, 18, 9, 0, 0, 0, 8, 15, 13, 2, 0, 0, 44, 149, 310, 499, 671, 779, 790, 699, 536, 345, 174, 56, 0, 0, 0, 16, 22, 17, 8, 0, 0, 0, 0, 3, 5, 6, 7, 8, 8, 8, 8, 6, 4, 2, 0, 0, 0, 2, 4, 6, 7, 8, 6, 4, 1, 0, 0, 1, 5, 8, 11, 12, 12, 11, 9, 7, 7, 8, 10, 12, 14, 16, 16, 16, 17, 18, 21, 24, 26, 24, 18, 10, 2, 0, 5, 14, 20, 16, 1, 0, 0, 57, 183, 370, 583, 771, 878, 872, 755, 561, 347, 164, 44, 0, 0, 5, 19, 21, 13, 2, 0, 0, 3, 10, 12, 10, 4, 0, 0, 2, 10, 15, 11, 0, 0, 0, 46, 143, 285, 445, 583, 660, 653, 563, 418, 257, 121, 32, 0, 0, 4, 15, 17, 11, 3, 0, 0, 5, 11, 14, 12, 6, 0, 0, 0, 10, 21, 24, 14, 0, 0, 12, 100, 258, 468, 686, 852, 917, 861, 701, 485, 271, 108, 15, 0, 0, 12, 22, 19, 9, 0, 0, 0, 0, 3, 5, 5, 4, 3, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 3, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 1, 2, 4, 7, 10, 13, 15, 15, 14, 11, 6, 2, 0, 0, 3, 7, 12, 15, 16, 14, 10, 6, 3, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 4, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 7, 8, 8, 7, 6, 5, 5, 6, 7, 8, 9, 9, 7, 5, 2, 1, 2, 5, 8, 12, 14, 15, 15, 14, 12, 11, 11, 11, 11, 11, 10, 10, 9, 8, 7, 7, 7, 7, 9, 11, 15, 18, 20, 22, 21, 19, 15, 12, 9, 9, 10, 13, 17, 18, 17, 14, 11, 12, 17, 22, 22, 13, 0, 0, 12, 84, 215, 393, 585, 744, 824, 799, 672, 475, 258, 78, 0, 0, 125, 335, 576, 789, 918, 929, 820, 620, 379, 158, 9, 0, 42, 217, 451, 687, 864, 934, 881, 723, 507, 291, 123, 24, 0, 0, 12, 24, 23, 15, 7, 6, 12, 21, 26, 24, 15, 4, 0, 0, 7, 16, 18, 8, 0, 0, 26, 124, 288, 494, 696, 839, 881, 809, 644, 435, 237, 89, 8, 0, 0, 15, 27, 26, 18, 9, 6, 8, 14, 18, 19, 14, 7, 1, 0, 7, 17, 24, 20, 3, 0, 0, 56, 192, 398, 640, 859, 995, 1006, 889, 678, 435, 218, 68, 0, 0, 0, 22, 35, 31, 13, 0, 0, 10, 91, 233, 421, 620, 779, 851, 810, 661, 444, 219, 49, 0, 31, 184, 393, 596, 733, 767, 693, 540, 353, 183, 63, 2, 0, 0, 15, 21, 16, 8, 1, 0, 1, 5, 6, 6, 5, 5, 6, 9, 12, 13, 13, 10, 7, 4, 2, 1, 2, 4, 5, 5, 5, 5, 4, 5, 6, 8, 10, 10, 8, 3, 0, 0, 0, 5, 14, 16, 8, 0, 0, 15, 92, 225, 397, 571, 698, 741, 685, 548, 370, 201, 74, 6, 0, 0, 11, 18, 15, 6, 0, 0, 0, 1, 3, 4, 3, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 3, 5, 6, 6, 5, 3, 2, 1, 1, 2, 4, 5, 5, 5, 4, 2, 1, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 3, 4, 5, 5, 2, 0, 0, 0, 2, 12, 19, 15, 1, 0, 0, 54, 178, 362, 571, 753, 853, 842, 721, 529, 320, 146, 36, 0, 0, 5, 18, 19, 10, 0, 0, 0, 0, 3, 5, 5, 4, 4, 3, 3, 3, 2, 1, 0, 0, 0, 2, 4, 7, 10, 12, 13, 12, 10, 7, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 9, 11, 10, 6, 1, 0, 0, 5, 12, 15, 8, 0, 0, 18, 88, 211, 374, 542, 671, 723, 677, 542, 353, 161, 23, 0, 46, 211, 432, 651, 807, 859, 796, 640, 440, 248, 103, 21, 0, 0, 1, 6, 6, 6, 7, 7, 0, 0, 0, 29, 128, 294, 508, 722, 880, 933, 864, 695, 475, 262, 102, 12, 0, 0, 14, 24, 21, 10, 0, 0, 0, 8, 16, 20, 18, 10, 2, 0, 0, 8, 17, 17, 7, 0, 0, 30, 132, 299, 507, 707, 845, 879, 799, 628, 417, 221, 80, 7, 0, 0, 8, 10, 4, 0, 0, 6, 11, 5, 0, 0, 32, 135, 308, 527, 743, 897, 943, 867, 691, 467, 254, 96, 10, 0, 0, 12, 21, 17, 7, 0, 0, 0, 1, 4, 5, 5, 4, 4, 5, 6, 7, 7, 5, 4, 4, 6, 13, 22, 33, 43, 48, 49, 45, 37, 28, 18, 10, 3, 0, 1, 8, 18, 25, 22, 8, 0, 0, 33, 138, 306, 513, 710, 843, 874, 791, 621, 414, 222, 83, 10, 0, 0, 3, 7, 6, 5, 7, 8, 2, 0, 0, 23, 117, 280, 495, 716, 884, 949, 890, 726, 504, 285, 117, 20, 0, 0, 10, 21, 21, 14, 8, 8, 11, 12, 10, 4, 0, 0, 7, 15, 18, 9, 0, 0, 30, 128, 293, 506, 722, 883, 940, 869, 684, 433, 187, 17, 0, 77, 300, 585, 855, 1034, 1074, 970, 757, 500, 263, 94, 6, 0, 0, 17, 24, 17, 5, 0, 0, 0, 2, 6, 6, 4, 1, 0, 1, 2, 3, 4, 3, 3, 3, 4, 6, 5, 2, 0, 0, 0, 7, 16, 18, 10, 0, 0, 18, 101, 248, 442, 644, 801, 867, 819, 665, 447, 222, 50, 0, 17, 163, 376, 600, 776, 858, 823, 682, 471, 246, 64, 0, 5, 150, 377, 631, 844, 959, 948, 816, 606, 377, 181, 53, 0, 0, 3, 18, 20, 12, 1, 0, 0, 0, 5, 11, 13, 12, 7, 0, 0, 0, 3, 14, 22, 17, 0, 0, 0, 73, 226, 447, 697, 911, 1029, 1014, 870, 641, 392, 182, 48, 0, 0, 6, 21, 23, 13, 1, 0, 0, 0, 4, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 8, 9, 8, 6, 4, 3, 3, 4, 4, 3, 0, 0, 0, 0, 8, 16, 16, 5, 0, 0, 36, 144, 319, 534, 742, 887, 925, 845, 672, 455, 251, 100, 17, 0, 0, 1, 4, 3, 4, 8, 10, 4, 0, 0, 20, 120, 299, 538, 786, 978, 1055, 994, 813, 566, 321, 131, 21, 0, 0, 11, 23, 20, 9, 0, 0, 0, 0, 4, 6, 7, 7, 7, 8, 8, 7, 5, 3, 1, 0, 0, 0, 0, 1, 4, 8, 11, 14, 14, 12, 9, 5, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 9, 13, 15, 16, 15, 13, 11, 9, 8, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 2, 5, 8, 10, 12, 12, 11, 10, 8, 6, 5, 5, 5, 6, 8, 10, 11, 13, 13, 13, 13, 14, 15, 16, 18, 19, 18, 16, 15, 15, 18, 20, 18, 9, 0, 0, 13, 77, 189, 339, 497, 625, 687, 664, 562, 412, 252, 119, 33, 0, 0, 3, 14, 16, 12, 7, 5, 9, 17, 25, 27, 24, 15, 6, 1, 4, 11, 18, 16, 3, 0, 0, 48, 166, 348, 568, 777, 918, 951, 865, 686, 464, 254, 99, 14, 0, 0, 11, 19, 15, 6, 0, 0, 0, 2, 6, 7, 5, 3, 1, 0, 1, 2, 4, 6, 7, 8, 9, 9, 9, 9, 9, 10, 12, 13, 13, 11, 8, 5, 1, 0, 0, 2, 4, 5, 6, 6, 6, 7, 8, 9, 10, 11, 10, 9, 7, 6, 5, 4, 4, 5, 5, 7, 8, 9, 11, 11, 11, 10, 7, 5, 2, 0, 0, 0, 1, 3, 5, 6, 6, 5, 4, 3, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 9, 8, 7, 4, 2, 0, 0, 0, 2, 5, 7, 7, 6, 5, 3, 1, 0, 0, 0, 1, 3, 5, 6, 7, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 8, 8, 8, 6, 5, 5, 5, 7, 9, 11, 11, 10, 8, 5, 3, 1, 0, 0, 0, 0, 1, 3, 4, 4, 4, 3, 2, 0, 0, 0, 1, 3, 5, 8, 11, 14, 16, 17, 17, 16, 14, 10, 6, 4, 2, 2, 4, 6, 8, 9, 8, 7, 6, 4, 4, 5, 6, 7, 9, 9, 10, 9, 9, 8, 8, 9, 11, 14, 17, 18, 16, 12, 8, 6, 8, 14, 20, 20, 10, 0, 0, 19, 101, 244, 433, 631, 787, 857, 822, 692, 502, 304, 141, 35, 0, 0, 3, 22, 29, 22, 4, 0, 0, 34, 134, 291, 484, 672, 806, 848, 785, 635, 440, 250, 104, 19, 0, 0, 8, 16, 14, 6, 0, 0, 0, 4, 8, 10, 9, 8, 7, 8, 10, 12, 12, 11, 8, 5, 3, 2, 3, 5, 7, 9, 10, 10, 10, 8, 6, 3, 2, 2, 4, 8, 13, 17, 20, 21, 20, 18, 15, 12, 10, 9, 8, 7, 5, 3, 3, 4, 7, 10, 12, 10, 7, 4, 4, 8, 14, 16, 9, 0, 0, 9, 72, 191, 356, 537, 690, 772, 761, 658, 494, 312, 155, 49, 0, 0, 0, 13, 17, 13, 6, 2, 2, 6, 10, 12, 13, 12, 11, 9, 7, 4, 2, 4, 9, 16, 19, 12, 0, 0, 3, 64, 184, 358, 556, 731, 837, 842, 744, 572, 372, 193, 67, 3, 0, 0, 11, 16, 12, 3, 0, 0, 0, 1, 3, 4, 3, 3, 4, 5, 6, 6, 5, 3, 1, 0, 0, 0, 0, 2, 4, 7, 10, 12, 14, 14, 13, 11, 9, 7, 5, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 3, 6, 9, 12, 13, 14, 12, 9, 5, 2, 1, 2, 4, 8, 12, 15, 18, 21, 22, 21, 17, 10, 2, 0, 0, 5, 13, 17, 10, 0, 0, 13, 91, 235, 434, 651, 835, 936, 925, 804, 609, 390, 199, 67, 1, 0, 0, 14, 21, 19, 14, 13, 16, 20, 22, 18, 12, 6, 6, 11, 17, 16, 6, 0, 0, 37, 141, 312, 531, 754, 927, 1004, 962, 812, 596, 368, 177, 51, 0, 0, 2, 22, 28, 19, 1, 0, 0, 52, 161, 322, 514, 699, 835, 884, 829, 680, 472, 255, 82, 0, 20, 146, 344, 566, 757, 869, 876, 775, 591, 371, 167, 29, 0, 63, 230, 453, 677, 848, 923, 886, 749, 553, 346, 173, 58, 4, 0, 1, 10, 11, 8, 7, 10, 13, 10, 0, 0, 6, 77, 220, 432, 678, 905, 1053, 1079, 976, 773, 524, 291, 117, 20, 0, 0, 11, 21, 19, 10, 1, 0, 3, 10, 15, 16, 14, 9, 4, 0, 0, 0, 3, 6, 8, 8, 4, 0, 0, 0, 9, 17, 17, 7, 0, 0, 37, 151, 342, 588, 841, 1040, 1129, 1084, 915, 671, 414, 199, 60, 0, 0, 2, 17, 19, 11, 1, 0, 0, 0, 5, 9, 9, 8, 7, 6, 7, 8, 8, 9, 9, 10, 11, 10, 8, 4, 0, 0, 0, 5, 12, 13, 5, 0, 0, 27, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 112, 255, 443, 638, 794, 869, 841, 718, 533, 334, 165, 53, 0, 0, 0, 12, 15, 9, 1, 0, 0, 0, 2, 4, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 6, 7, 9, 10, 10, 7, 4, 2, 4, 10, 14, 13, 5, 0, 0, 29, 114, 254, 434, 620, 765, 831, 799, 677, 499, 310, 152, 47, 0, 0, 0, 11, 13, 7, 0, 0, 0, 3, 6, 6, 2, 0, 0, 2, 8, 10, 5, 0, 0, 17, 79, 190, 339, 502, 639, 716, 711, 625, 481, 317, 170, 65, 9, 0, 0, 7, 11, 8, 2, 0, 0, 4, 11, 16, 16, 13, 8, 4, 2, 5, 11, 15, 13, 5, 0, 0, 28, 107, 239, 411, 594, 747, 831, 823, 727, 566, 382, 214, 90, 17, 0, 0, 3, 14, 18, 13, 1, 0, 0, 35, 125, 274, 470, 682, 865, 970, 968, 853, 652, 416, 206, 81, 75, 190, 400, 650, 876, 1022, 1051, 954, 755, 502, 256, 77, 8, 69, 246, 500, 771, 996, 1122, 1119, 990, 765, 497, 246, 64, 0, 31, 177, 388, 615, 801, 902, 896, 789, 611, 409, 226, 93, 19, 0, 0, 7, 12, 10, 3, 0, 0, 0, 1, 3, 4, 3, 3, 3, 3, 4, 5, 5, 4, 2, 1, 0, 0, 0, 2, 5, 8, 10, 11, 10, 7, 4, 1, 0, 0, 0, 1, 2, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 6, 10, 15, 19, 21, 20, 16, 10, 5, 2, 3, 6, 8, 6, 0, 0, 7, 46, 124, 243, 390, 540, 661, 722, 705, 611, 460, 286, 133, 35, 17, 82, 213, 378, 534, 644, 683, 642, 535, 391, 244, 122, 41, 2, 0, 0, 7, 9, 5, 0, 0, 3, 10, 19, 24, 24, 18, 10, 3, 0, 3, 9, 12, 8, 0, 0, 12, 75, 196, 370, 573, 764, 897, 938, 875, 724, 524, 322, 156, 49, 0, 0, 0, 10, 12, 7, 0, 0, 0, 2, 7, 9, 9, 7, 5, 4, 4, 6, 8, 11, 13, 14, 14, 12, 9, 4, 0, 0, 2, 7, 11, 8, 0, 0, 3, 51, 150, 306, 501, 702, 865, 951, 936, 824, 643, 436, 246, 105, 24, 0, 0, 6, 14, 15, 11, 7, 6, 8, 11, 13, 12, 10, 6, 3, 1, 0, 0, 2, 4, 6, 7, 6, 3, 1, 2, 7, 11, 11, 4, 0, 0, 32, 120, 271, 474, 697, 895, 1019, 1039, 947, 768, 545, 328, 156, 47, 0, 0, 1, 11, 12, 6, 0, 0, 0, 0, 4, 6, 6, 5, 4, 5, 6, 7, 8, 7, 5, 3, 1, 0, 0, 1, 4, 7, 9, 11, 12, 12, 11, 11, 10, 9, 9, 9, 10, 9, 8, 5, 1, 0, 0, 1, 5, 8, 6, 0, 0, 7, 51, 141, 279, 450, 626, 771, 852, 849, 762, 612, 433, 262, 127, 40, 0, 0, 0, 8, 13, 9, 1, 0, 0, 24, 89, 199, 348, 521, 687, 812, 865, 835, 725, 562, 381, 218, 96, 25, 0, 0, 3, 9, 10, 8, 6, 9, 15, 21, 26, 27, 25, 22, 21, 22, 23, 23, 18, 10, 2, 6, 32, 93, 195, 332, 489, 639, 750, 798, 770, 672, 528, 376, 258, 207, 240, 349, 506, 666, 784, 825, 776, 653, 493, 345, 251, 237, 300, 415, 542, 644, 692, 678, 609, 505, 389, 286, 214, 188, 216, 294, 411, 540, 651, 715, 711, 638, 512, 363, 219, 107, 35, 1, 0, 0, 4, 7, 6, 2, 0, 0, 6, 41, 114, 229, 382, 555, 718, 838, 888, 855, 745, 581, 402, 247, 152, 136, 198, 321, 472, 613, 710, 739, 694, 585, 439, 291, 178, 129, 162, 275, 447, 643, 821, 942, 977, 919, 782, 595, 397, 224, 98, 26, 0, 0, 3, 8, 7, 2, 0, 0, 0, 1, 3, 4, 3, 1, 0, 0, 0, 0, 0, 1, 2, 4, 7, 9, 11, 12, 12, 11, 10, 10, 10, 11, 12, 13, 15, 16, 16, 16, 16, 15, 14, 12, 10, 8, 5, 3, 1, 0, 0, 0, 0, 1, 2, 4, 7, 9, 12, 15, 19, 21, 23, 24, 23, 21, 17, 12, 7, 2, 0, 0, 0, 1, 1, 0, 0, 5, 27, 73, 150, 259, 389, 525, 643, 722, 745, 706, 612, 482, 339, 208, 106, 39, 5, 0, 0, 3, 5, 3, 0, 0, 1, 20, 63, 133, 230, 348, 470, 577, 651, 675, 646, 569, 458, 334, 216, 120, 53, 15, 0, 0, 0, 3, 3, 0, 0, 0, 15, 55, 128, 238, 380, 540, 695, 819, 887, 886, 814, 685, 524, 357, 212, 103, 36, 5, 0, 0, 2, 3, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 3, 5, 6, 6, 7, 6, 6, 7, 7, 8, 8, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 8, 10, 12, 14, 14, 14, 14, 13, 11, 8, 6, 7, 12, 27, 56, 101, 164, 243, 329, 413, 480, 521, 525, 492, 428, 344, 253, 169, 101, 52, 22, 7, 1, 1, 3, 4, 4, 5, 9, 22, 47, 92, 158, 245, 346, 448, 536, 596, 618, 599, 543, 463, 376, 300, 252, 241, 270, 331, 414, 498, 567, 604, 600, 558, 487, 405, 333, 290, 288, 330, 408, 506, 604, 679, 717, 709, 656, 570, 470, 376, 310, 285, 308, 371, 462, 559, 641, 689, 695, 655, 577, 473, 358, 248, 154, 83, 36, 10, 0, 0, 0, 1, 1, 1, 2, 3, 5, 6, 7, 7, 7, 6, 5, 5, 5, 7, 9, 10, 12, 13, 13, 13, 12, 11, 10, 10, 11, 11, 12, 12, 11, 9, 7, 5, 4, 4, 4, 5, 7, 8, 8, 8, 7, 5, 4, 4, 7, 17, 37, 72, 123, 193, 281, 381, 484, 579, 652, 692, 694, 657, 590, 506, 420, 350, 309, 303, 333, 391, 465, 539, 597, 628, 624, 586, 518, 430, 335, 242, 161, 96, 51, 22, 6, 0, 0, 0, 1, 3, 4, 6, 7, 9, 11, 16, 27, 46, 76, 116, 166, 221, 276, 326, 363, 384, 384, 365, 329, 280, 225, 169, 119, 76, 44, 22, 9, 2, 0, 0, 1, 3, 6, 8, 10, 11, 10, 9, 8, 8, 8, 8, 9, 9, 10, 14, 23, 41, 71, 114, 170, 236, 307, 378, 441, 490, 521, 529, 514, 478, 424, 358, 287, 217, 154, 101, 62, 34, 17, 8, 4, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 12, 14, 17, 22, 30, 41, 58, 82, 116, 160, 213, 274, 337, 396, 446, 480, 495, 490, 465, 425, 374, 317, 257, 200, 147, 101, 63, 35, 16, 5, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 5, 9, 15, 23, 35, 50, 71, 97, 129, 164, 200, 236, 269, 296, 316, 327, 329, 321, 303, 278, 246, 211, 174, 138, 106, 78, 56, 40, 31, 29, 32, 41, 54, 72, 92, 116, 142, 169, 197, 224, 248, 267, 278, 282, 277, 264, 245, 222, 195, 167, 140, 114, 92, 72, 57, 46, 38, 35, 35, 40, 49, 64, 83, 107, 134, 163, 194, 225, 256, 285, 312, 334, 351, 362, 365, 361, 352, 339, 325, 313, 302, 296, 295, 297, 302, 306, 307, 304, 296, 283, 267, 248, 228, 209, 188, 167, 145, 123, 102, 83, 69, 61, 58, 60, 66, 75, 88, 104, 122, 143, 166, 189, 212, 233, 251, 265, 277, 285, 291, 294, 297, 297, 298, 297, 296, 294, 293, 292, 293, 295, 297, 299, 298, 295, 288, 278, 264, 249, 231, 211, 190, 169, 149, 131, 116, 104, 95, 89, 85, 85, 88, 93, 102, 114, 127, 139, 151, 162, 172, 181, 188, 195, 200, 202, 203, 200, 195, 188, 178, 166, 154, 139, 124, 108, 93, 78, 64, 53, 43, 35, 28, 23, 17, 13, 8, 5, 3, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 5, 6, 7, 8, 8, 8, 8, 7],
"peakC": [0, 0, 0, 1, 2, 2, 2, 2, 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, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 3, 3, 4, 5, 5, 5, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 4, 4, 3, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 3, 4, 4, 3, 2, 1, 1, 2, 4, 7, 9, 10, 9, 7, 5, 4, 3, 4, 7, 10, 13, 15, 15, 14, 13, 12, 11, 11, 11, 12, 12, 13, 13, 12, 12, 12, 12, 13, 13, 14, 15, 16, 17, 18, 20, 21, 23, 25, 27, 28, 29, 29, 28, 26, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 24, 25, 26, 28, 31, 35, 39, 42, 43, 43, 42, 41, 40, 39, 39, 38, 38, 38, 39, 40, 42, 44, 47, 48, 49, 48, 46, 45, 44, 45, 48, 51, 55, 57, 59, 58, 56, 54, 52, 51, 52, 54, 56, 59, 62, 64, 66, 67, 68, 68, 68, 68, 68, 68, 68, 70, 71, 72, 72, 72, 71, 70, 71, 73, 77, 80, 82, 82, 80, 78, 76, 75, 76, 78, 80, 82, 83, 84, 85, 86, 89, 92, 97, 102, 110, 119, 130, 142, 153, 161, 166, 170, 174, 185, 205, 236, 276, 321, 364, 397, 415, 416, 401, 371, 333, 289, 243, 200, 162, 130, 106, 89, 79, 74, 72, 72, 74, 78, 82, 86, 90, 93, 96, 99, 102, 105, 107, 108, 106, 103, 97, 90, 83, 76, 70, 64, 60, 55, 50, 45, 40, 36, 34, 33, 33, 34, 35, 36, 37, 37, 37, 38, 40, 42, 45, 48, 51, 52, 53, 52, 50, 46, 42, 38, 34, 32, 30, 29, 28, 27, 26, 24, 24, 23, 24, 25, 26, 27, 29, 31, 34, 38, 44, 50, 58, 66, 73, 80, 86, 90, 92, 93, 92, 92, 92, 94, 96, 98, 100, 101, 99, 96, 92, 86, 79, 72, 66, 59, 54, 49, 47, 46, 47, 47, 48, 48, 49, 50, 52, 57, 62, 69, 77, 85, 93, 103, 113, 124, 136, 148, 159, 169, 178, 186, 193, 198, 201, 202, 201, 198, 194, 191, 187, 182, 175, 165, 154, 141, 128, 115, 104, 92, 80, 68, 55, 44, 35, 28, 24, 21, 20, 18, 15, 13, 10, 9, 8, 8, 9, 9, 8, 8, 7, 7, 7, 8, 9, 10, 11, 11, 10, 10, 9, 9, 9, 8, 7, 6, 5, 5, 5, 6, 7, 9, 11, 12, 13, 13, 14, 14, 15, 16, 15, 14, 12, 10, 10, 11, 14, 17, 21, 23, 25, 26, 27, 29, 31, 36, 41, 47, 53, 60, 67, 74, 82, 91, 101, 111, 120, 128, 134, 137, 138, 137, 136, 136, 136, 137, 137, 135, 131, 125, 118, 111, 106, 103, 103, 105, 109, 113, 118, 123, 128, 134, 142, 150, 158, 167, 177, 185, 193, 199, 202, 202, 199, 195, 189, 183, 176, 170, 162, 153, 142, 129, 115, 102, 90, 80, 72, 65, 58, 51, 43, 34, 27, 20, 16, 15, 15, 17, 18, 18, 17, 15, 12, 10, 10, 11, 14, 17, 20, 22, 22, 21, 19, 18, 18, 22, 28, 35, 44, 52, 59, 65, 69, 72, 73, 74, 73, 73, 74, 74, 75, 76, 77, 76, 75, 72, 69, 65, 60, 54, 48, 42, 38, 34, 32, 31, 30, 29, 28, 27, 28, 30, 34, 39, 46, 53, 60, 66, 70, 74, 78, 83, 91, 100, 109, 119, 128, 134, 138, 140, 141, 142, 142, 142, 140, 138, 134, 128, 120, 111, 100, 89, 77, 67, 57, 49, 42, 36, 32, 28, 24, 21, 19, 17, 16, 15, 15, 15, 14, 14, 14, 13, 12, 12, 11, 11, 11, 12, 12, 12, 11, 11, 11, 12, 13, 15, 16, 17, 19, 21, 24, 28, 35, 43, 53, 63, 74, 84, 95, 107, 120, 134, 150, 168, 188, 208, 228, 246, 262, 276, 286, 292, 295, 293, 288, 279, 266, 252, 237, 221, 205, 192, 179, 169, 161, 155, 150, 148, 149, 153, 161, 173, 188, 204, 218, 230, 237, 241, 243, 244, 244, 245, 244, 240, 233, 221, 207, 191, 175, 160, 146, 132, 118, 105, 91, 78, 67, 59, 52, 47, 44, 41, 38, 37, 37, 38, 42, 48, 56, 67, 80, 94, 110, 125, 139, 153, 167, 180, 193, 206, 220, 233, 245, 254, 260, 262, 260, 253, 244, 232, 219, 204, 188, 173, 159, 146, 136, 128, 124, 122, 123, 126, 131, 139, 148, 159, 170, 182, 193, 202, 209, 213, 215, 215, 214, 211, 206, 199, 192, 183, 176, 168, 162, 156, 150, 143, 137, 131, 127, 127, 132, 141, 154, 170, 187, 204, 220, 233, 245, 255, 263, 268, 272, 273, 271, 267, 259, 250, 238, 224, 208, 190, 170, 148, 126, 106, 88, 74, 64, 56, 51, 45, 39, 32, 25, 18, 13, 10, 9, 9, 9, 10, 10, 10, 9, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 5, 5, 5, 4, 3, 3, 4, 5, 7, 8, 8, 8, 9, 11, 15, 20, 27, 32, 36, 38, 40, 43, 50, 61, 76, 93, 111, 128, 144, 159, 176, 193, 210, 226, 239, 248, 252, 252, 249, 243, 236, 225, 211, 194, 175, 155, 135, 118, 103, 90, 77, 65, 54, 42, 32, 23, 17, 14, 12, 11, 10, 8, 7, 7, 6, 6, 6, 5, 4, 3, 2, 1, 0, 0, 1, 2, 3, 4, 5, 6, 7, 7, 7, 6, 5, 3, 2, 1, 1, 2, 2, 4, 5, 6, 7, 8, 9, 10, 10, 10, 10, 9, 8, 6, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 7, 8, 8, 9, 11, 13, 18, 24, 31, 38, 44, 49, 54, 59, 64, 71, 80, 90, 99, 106, 110, 111, 110, 106, 102, 97, 91, 85, 79, 72, 65, 58, 51, 44, 37, 31, 27, 24, 22, 20, 19, 16, 13, 10, 7, 4, 4, 4, 6, 8, 10, 11, 11, 11, 10, 10, 11, 12, 13, 13, 14, 14, 14, 14, 15, 16, 17, 19, 21, 25, 32, 40, 50, 61, 71, 80, 89, 100, 115, 134, 158, 184, 209, 231, 248, 259, 266, 269, 272, 277, 284, 293, 302, 311, 316, 319, 320, 320, 321, 323, 325, 324, 318, 305, 285, 262, 239, 218, 201, 187, 174, 161, 148, 135, 125, 120, 120, 125, 135, 147, 163, 182, 205, 230, 256, 280, 300, 314, 321, 323, 321, 315, 307, 295, 278, 256, 231, 204, 178, 154, 134, 115, 98, 81, 65, 49, 36, 27, 21, 19, 18, 17, 15, 12, 9, 5, 3, 2, 2, 2, 4, 4, 5, 4, 4, 3, 2, 2, 2, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 4, 4, 5, 6, 6, 5, 4, 3, 2, 1, 1, 2, 3, 5, 6, 6, 5, 4, 3, 1, 0, 0, 0, 0, 1, 2, 3, 5, 5, 5, 4, 3, 4, 5, 6, 7, 8, 8, 7, 6, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 4, 4, 3, 2, 2, 2, 2, 4, 5, 7, 8, 8, 8, 7, 6, 5, 4, 3, 4, 4, 5, 6, 6, 7, 7, 7, 7, 6, 6, 5, 4, 3, 4, 5, 6, 8, 8, 8, 8, 7, 6, 6, 7, 7, 7, 7, 6, 4, 2, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 4, 6, 10, 15, 21, 28, 36, 44, 54, 65, 79, 96, 116, 138, 162, 185, 206, 225, 241, 254, 264, 270, 271, 266, 256, 240, 221, 200, 179, 158, 138, 119, 101, 83, 66, 51, 40, 31, 25, 21, 19, 17, 16, 14, 13, 11, 10, 10, 9, 9, 9, 9, 9, 8, 7, 7, 6, 6, 6, 6, 5, 4, 4, 3, 3, 2, 2, 2, 1, 1, 1, 1, 2, 2, 3, 2, 2, 1, 1, 2, 3, 4, 5, 6, 5, 4, 3, 3, 3, 4, 5, 5, 5, 4, 3, 2, 1, 0, 0, 1, 2, 3, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 3, 2, 1, 1, 1, 3, 5, 7, 8, 8, 7, 7, 7, 8, 9, 10, 11, 12, 14, 17, 22, 29, 38, 48, 60, 72, 86, 103, 121, 142, 164, 186, 206, 224, 239, 251, 261, 268, 271, 270, 264, 255, 245, 236, 230, 229, 231, 234, 235, 232, 223, 210, 193, 176, 161, 147, 135, 123, 111, 97, 83, 69, 56, 46, 39, 34, 29, 24, 18, 12, 8, 5, 5, 7, 9, 11, 11, 10, 8, 7, 7, 7, 8, 9, 9, 8, 6, 5, 5, 7, 9, 11, 12, 12, 10, 8, 6, 4, 4, 5, 6, 8, 9, 9, 7, 6, 3, 1, 1, 1, 2, 4, 5, 6, 7, 6, 6, 6, 6, 7, 9, 10, 10, 10, 9, 8, 8, 9, 11, 12, 13, 14, 13, 12, 12, 12, 13, 14, 14, 13, 11, 8, 6, 6, 7, 10, 13, 14, 14, 13, 10, 8, 6, 5, 5, 6, 7, 7, 7, 6, 5, 4, 3, 2, 1, 0, 0, 1, 1, 2, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 3, 3, 4, 4, 4, 5, 6, 6, 7, 8, 8, 8, 8, 8, 8, 8, 9, 9, 11, 12, 14, 15, 17, 17, 17, 16, 15, 14, 14, 13, 13, 13, 12, 11, 10, 9, 9, 11, 16, 24, 34, 45, 59, 73, 89, 105, 122, 140, 156, 170, 181, 189, 193, 194, 191, 186, 178, 168, 156, 142, 127, 112, 97, 84, 71, 59, 47, 36, 26, 18, 13, 10, 8, 8, 8, 8, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 4, 6, 6, 6, 4, 3, 1, 1, 1, 2, 4, 5, 7, 8, 9, 10, 12, 15, 18, 24, 32, 43, 57, 75, 96, 119, 144, 169, 194, 219, 242, 264, 282, 297, 306, 307, 301, 287, 267, 242, 214, 186, 158, 131, 107, 85, 66, 50, 38, 29, 23, 20, 18, 18, 16, 15, 13, 11, 9, 9, 10, 10, 11, 11, 11, 10, 10, 10, 11, 13, 14, 15, 15, 15, 14, 13, 12, 11, 10, 10, 11, 12, 13, 14, 16, 16, 16, 15, 14, 12, 10, 9, 9, 10, 12, 13, 14, 13, 13, 12, 11, 12, 14, 16, 18, 18, 17, 16, 14, 14, 14, 16, 17, 17, 17, 16, 15, 15, 17, 20, 24, 28, 32, 36, 40, 46, 55, 70, 90, 115, 143, 172, 200, 225, 247, 267, 286, 303, 319, 331, 338, 340, 337, 330, 320, 311, 304, 299, 298, 300, 303, 306, 308, 308, 306, 302, 299, 296, 296, 297, 299, 302, 305, 308, 309, 309, 308, 306, 303, 301, 301, 303, 306, 310, 313, 313, 309, 303, 295, 287, 280, 275, 271, 265, 259, 252, 245, 239, 236, 234, 233, 232, 228, 222, 213, 202, 188, 171, 153, 134, 114, 96, 79, 64, 50, 39, 29, 21, 14, 9, 6, 5, 4, 4, 5, 6, 9, 14, 23, 35, 50, 69, 90, 112, 137, 163, 191, 220, 249, 277, 300, 318, 328, 331, 327, 319, 307, 295, 285, 277, 271, 266, 260, 252, 242, 230, 216, 203, 189, 176, 163, 148, 131, 114, 96, 80, 67, 58, 54, 54, 58, 67, 80, 98, 119, 144, 169, 193, 215, 232, 247, 259, 269, 278, 286, 293, 299, 303, 306, 307, 307, 308, 310, 311, 312, 311, 307, 298, 284, 264, 240, 213, 184, 155, 128, 104, 85, 70, 60, 55, 54, 57, 62, 69, 78, 89, 103, 118, 134, 150, 165, 177, 186, 193, 199, 206, 215, 227, 240, 255, 271, 286, 301, 316, 331, 343, 350, 352, 346, 332, 312, 286, 256, 225, 192, 161, 130, 102, 77, 56, 40, 27, 18, 12, 9, 8, 7, 7, 7, 6, 5, 5, 5, 5, 6, 6, 6, 7, 7, 8, 7, 7, 5, 3, 1, 1, 2, 4, 6, 8, 7, 6, 3, 1, 0, 0, 2, 4, 6, 6, 6, 5, 5, 5, 5, 7, 8, 11, 13, 17, 21, 28, 37, 50, 67, 87, 111, 138, 166, 196, 226, 257, 286, 313, 334, 349, 355, 353, 344, 332, 318, 304, 291, 278, 266, 252, 239, 224, 210, 196, 182, 166, 150, 133, 116, 100, 85, 72, 62, 53, 46, 38, 31, 23, 15, 9, 4, 2, 1, 3, 6, 11, 18, 28, 41, 59, 81, 106, 135, 167, 201, 237, 275, 313, 349, 383, 412, 433, 445, 445, 434, 412, 381, 346, 309, 275, 246, 223, 207, 194, 183, 170, 156, 140, 122, 105, 88, 73, 61, 50, 41, 33, 25, 18, 11, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 9, 14, 19, 27, 39, 55, 76, 103, 134, 166, 196, 223, 244, 258, 265, 265, 258, 244, 226, 204, 181, 156, 132, 108, 86, 67, 52, 41, 35, 35, 39, 49, 62, 79, 100, 123, 147, 170, 189, 204, 214, 217, 215, 208, 197, 182, 163, 142, 121, 100, 82, 66, 54, 43, 34, 26, 19, 14, 10, 8, 6, 6, 5, 3, 2, 2, 2, 3, 4, 4, 4, 3, 2, 1, 0, 0, 1, 2, 3, 3, 3, 2, 1, 1, 2, 3, 5, 7, 8, 9, 10, 10, 12, 16, 23, 35, 52, 75, 100, 127, 153, 174, 192, 205, 215, 224, 231, 238, 243, 244, 243, 239, 234, 231, 229, 231, 235, 240, 245, 246, 244, 238, 229, 215, 198, 179, 157, 133, 109, 87, 66, 50, 37, 27, 21, 16, 13, 11, 10, 9, 8, 8, 7, 7, 5, 4, 3, 1, 1, 1, 2, 3, 4, 5, 6, 6, 6, 7, 8, 12, 20, 31, 46, 65, 87, 110, 132, 151, 167, 180, 192, 202, 209, 212, 209, 199, 183, 161, 137, 113, 92, 75, 61, 49, 39, 30, 23, 17, 13, 11, 10, 9, 10, 11, 14, 18, 22, 27, 32, 38, 47, 60, 79, 105, 136, 169, 202, 233, 259, 279, 294, 304, 310, 312, 311, 308, 306, 306, 311, 321, 335, 351, 366, 375, 379, 377, 371, 364, 357, 352, 351, 353, 358, 366, 377, 389, 400, 407, 405, 394, 371, 339, 301, 259, 217, 177, 140, 108, 82, 60, 44, 33, 26, 21, 18, 15, 11, 8, 5, 5, 6, 10, 16, 23, 33, 44, 60, 80, 105, 134, 166, 198, 228, 254, 276, 293, 304, 311, 311, 307, 298, 286, 273, 261, 254, 251, 251, 254, 256, 258, 258, 260, 263, 271, 284, 303, 326, 351, 376, 399, 418, 431, 437, 433, 418, 393, 359, 317, 271, 225, 181, 143, 111, 86, 68, 56, 50, 50, 54, 62, 75, 92, 111, 134, 157, 179, 199, 213, 222, 223, 218, 206, 189, 168, 143, 118, 95, 75, 59, 49, 43, 41, 44, 50, 61, 77, 96, 119, 141, 163, 182, 199, 213, 225, 234, 240, 243, 243, 242, 243, 249, 261, 279, 301, 324, 342, 353, 357, 353, 342, 324, 300, 270, 234, 196, 156, 118, 85, 59, 40, 28, 20, 15, 12, 9, 6, 4, 3, 3, 4, 4, 4, 4, 3, 3, 2, 2, 1, 1, 1, 1, 2, 2, 3, 5, 6, 8, 10, 11, 11, 9, 7, 4, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 5, 10, 18, 31, 48, 71, 99, 129, 158, 185, 208, 228, 243, 256, 266, 272, 274, 271, 263, 252, 242, 235, 233, 235, 242, 248, 252, 251, 243, 229, 212, 195, 180, 171, 167, 170, 176, 182, 185, 183, 176, 164, 148, 131, 113, 96, 80, 66, 53, 41, 31, 22, 15, 12, 14, 23, 40, 64, 96, 132, 171, 209, 245, 276, 302, 321, 331, 332, 322, 302, 273, 237, 198, 159, 124, 95, 71, 53, 38, 26, 16, 8, 3, 1, 2, 4, 6, 8, 8, 8, 7, 6, 5, 4, 4, 3, 3, 4, 5, 7, 9, 9, 9, 7, 5, 3, 2, 2, 3, 4, 4, 3, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 10, 20, 34, 52, 73, 98, 126, 156, 187, 216, 241, 260, 270, 271, 261, 243, 219, 191, 161, 132, 106, 81, 60, 42, 27, 17, 11, 8, 7, 7, 6, 5, 3, 2, 1, 2, 4, 6, 9, 12, 17, 23, 33, 46, 61, 78, 97, 116, 135, 152, 167, 178, 183, 181, 172, 157, 139, 120, 100, 82, 64, 48, 34, 22, 12, 5, 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, 1, 2, 4, 5, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 11, 21, 38, 62, 94, 134, 182, 234, 287, 335, 376, 405, 420, 420, 405, 377, 338, 292, 242, 193, 148, 109, 78, 55, 38, 27, 19, 14, 11, 10, 9, 9, 9, 9, 8, 7, 5, 4, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 11, 20, 34, 52, 74, 101, 131, 162, 192, 218, 239, 253, 257, 253, 238, 216, 187, 154, 122, 92, 68, 49, 36, 27, 21, 16, 12, 8, 4, 2, 0, 0, 0, 0, 0, 1, 3, 8, 15, 27, 42, 61, 83, 106, 128, 150, 168, 183, 194, 200, 203, 205, 206, 210, 219, 234, 256, 286, 321, 358, 395, 425, 445, 452, 442, 417, 378, 331, 279, 227, 178, 135, 99, 69, 46, 29, 18, 11, 8, 8, 8, 8, 8, 7, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 1, 0, 0, 0, 2, 7, 15, 26, 41, 59, 83, 112, 145, 182, 219, 253, 279, 294, 296, 287, 268, 245, 221, 200, 186, 179, 179, 182, 188, 192, 193, 189, 180, 165, 147, 127, 107, 87, 69, 53, 39, 27, 18, 12, 8, 6, 5, 5, 6, 6, 6, 5, 4, 4, 3, 4, 4, 5, 5, 5, 4, 4, 4, 5, 6, 6, 5, 4, 3, 1, 1, 1, 2, 4, 5, 6, 5, 3, 2, 0, 0, 1, 3, 6, 9, 11, 13, 14, 14, 13, 13, 12, 12, 13, 13, 13, 13, 13, 12, 11, 10, 9, 8, 8, 8, 8, 8, 8, 8, 7, 6, 4, 1, 0, 0, 4, 11, 23, 38, 57, 81, 112, 152, 201, 259, 322, 383, 437, 477, 498, 501, 486, 457, 421, 381, 341, 305, 275, 253, 238, 229, 226, 223, 219, 210, 194, 171, 143, 114, 87, 63, 45, 31, 21, 14, 8, 5, 3, 4, 5, 7, 9, 9, 7, 4, 1, 0, 1, 7, 16, 29, 45, 62, 82, 102, 124, 145, 165, 181, 192, 194, 188, 174, 153, 128, 102, 78, 56, 39, 25, 14, 7, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 8, 19, 37, 62, 92, 128, 167, 208, 248, 283, 311, 328, 332, 322, 299, 266, 226, 183, 140, 102, 69, 44, 26, 15, 9, 10, 16, 29, 49, 77, 112, 152, 194, 237, 274, 305, 325, 333, 331, 319, 300, 276, 251, 229, 212, 202, 197, 198, 201, 204, 203, 196, 184, 165, 143, 118, 92, 69, 49, 32, 20, 11, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 3, 9, 20, 37, 62, 94, 134, 179, 227, 274, 316, 349, 371, 378, 371, 350, 318, 277, 232, 185, 142, 103, 71, 47, 28, 15, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 5, 5, 4, 3, 3, 4, 6, 9, 11, 14, 15, 18, 22, 30, 43, 64, 94, 131, 174, 220, 265, 306, 339, 358, 363, 352, 326, 287, 240, 188, 138, 93, 57, 32, 18, 12, 12, 14, 17, 21, 28, 38, 55, 77, 105, 134, 162, 185, 201, 208, 207, 196, 178, 154, 126, 96, 69, 45, 27, 14, 7, 3, 2, 3, 5, 9, 18, 32, 52, 78, 107, 139, 170, 198, 220, 235, 242, 241, 235, 228, 224, 228, 243, 269, 306, 348, 389, 422, 440, 439, 418, 380, 330, 274, 217, 164, 117, 79, 49, 27, 13, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 3, 5, 6, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 6, 9, 16, 30, 53, 84, 123, 166, 212, 255, 292, 319, 335, 337, 324, 297, 258, 211, 161, 113, 73, 42, 23, 12, 8, 6, 6, 6, 6, 6, 6, 7, 7, 6, 5, 5, 6, 10, 17, 31, 54, 86, 129, 182, 241, 299, 350, 388, 407, 407, 389, 360, 323, 286, 253, 229, 215, 212, 220, 235, 253, 268, 274, 269, 251, 222, 186, 148, 112, 81, 56, 37, 23, 14, 7, 3, 0, 0, 0, 2, 3, 4, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 4, 4, 3, 3, 3, 2, 2, 1, 0, 0, 1, 3, 8, 15, 27, 44, 66, 93, 123, 156, 187, 213, 231, 240, 237, 224, 203, 175, 145, 114, 85, 60, 39, 24, 14, 8, 5, 6, 7, 9, 11, 12, 12, 12, 12, 13, 13, 14, 14, 14, 14, 13, 12, 11, 11, 12, 13, 14, 14, 13, 11, 10, 12, 19, 32, 52, 79, 111, 145, 179, 211, 238, 257, 267, 265, 251, 226, 193, 155, 119, 86, 60, 41, 26, 16, 9, 4, 2, 5, 13, 28, 50, 79, 113, 148, 182, 209, 227, 234, 229, 215, 192, 164, 134, 105, 79, 56, 38, 25, 16, 10, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 3, 4, 5, 6, 6, 5, 4, 1, 0, 0, 1, 6, 17, 33, 56, 87, 126, 172, 222, 272, 317, 351, 368, 366, 345, 309, 264, 215, 167, 123, 87, 58, 36, 20, 9, 4, 1, 1, 2, 4, 5, 5, 5, 4, 4, 3, 3, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 3, 3, 4, 6, 7, 7, 7, 6, 5, 5, 6, 8, 10, 12, 12, 11, 9, 7, 7, 8, 9, 11, 12, 12, 9, 6, 3, 1, 4, 14, 31, 56, 89, 126, 166, 205, 241, 271, 293, 307, 309, 300, 280, 253, 225, 203, 193, 199, 223, 258, 299, 336, 360, 366, 351, 319, 273, 221, 169, 123, 85, 57, 36, 22, 11, 4, 1, 4, 16, 39, 74, 121, 176, 237, 299, 358, 409, 447, 466, 464, 439, 395, 335, 266, 197, 135, 84, 47, 23, 9, 4, 2, 3, 5, 6, 7, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 8, 9, 11, 13, 15, 16, 16, 16, 14, 12, 9, 8, 7, 6, 7, 8, 9, 10, 10, 9, 8, 6, 5, 4, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 7, 9, 9, 8, 7, 6, 6, 6, 8, 9, 11, 11, 11, 10, 8, 7, 7, 9, 12, 15, 16, 15, 12, 7, 2, 0, 3, 12, 30, 58, 98, 150, 212, 281, 351, 414, 462, 487, 487, 461, 412, 349, 279, 211, 151, 104, 70, 47, 34, 26, 22, 19, 17, 16, 16, 15, 15, 15, 14, 14, 13, 13, 14, 14, 14, 13, 12, 10, 9, 8, 8, 7, 7, 6, 5, 6, 9, 17, 31, 54, 84, 120, 158, 194, 224, 244, 251, 246, 229, 204, 173, 142, 111, 84, 61, 43, 29, 20, 15, 13, 12, 11, 11, 9, 7, 5, 3, 2, 2, 2, 3, 3, 2, 2, 1, 1, 2, 3, 4, 6, 6, 6, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 14, 36, 73, 124, 189, 263, 339, 409, 465, 499, 508, 491, 451, 394, 326, 255, 187, 126, 76, 39, 16, 3, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 5, 5, 4, 4, 3, 2, 1, 1, 1, 2, 3, 5, 7, 9, 10, 11, 11, 10, 9, 7, 5, 3, 2, 3, 4, 6, 9, 10, 11, 11, 10, 10, 10, 10, 10, 11, 12, 13, 15, 16, 17, 18, 19, 19, 18, 18, 18, 18, 18, 17, 15, 13, 11, 10, 9, 9, 10, 11, 11, 10, 9, 7, 5, 4, 3, 4, 8, 16, 29, 48, 76, 111, 153, 198, 243, 282, 308, 318, 309, 282, 243, 197, 150, 108, 74, 48, 29, 17, 10, 6, 5, 5, 5, 6, 6, 6, 6, 5, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 7, 9, 9, 10, 11, 11, 11, 10, 9, 9, 8, 7, 7, 6, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 1, 1, 2, 4, 5, 6, 6, 4, 2, 0, 0, 0, 4, 14, 29, 51, 79, 113, 151, 189, 226, 255, 273, 275, 262, 234, 197, 155, 114, 78, 49, 29, 15, 7, 3, 1, 1, 2, 3, 4, 5, 5, 5, 5, 5, 7, 8, 10, 13, 15, 16, 18, 19, 19, 19, 17, 14, 10, 7, 4, 5, 10, 22, 42, 71, 112, 165, 227, 294, 360, 416, 454, 467, 452, 412, 351, 280, 207, 142, 89, 51, 27, 13, 7, 6, 7, 8, 10, 12, 14, 15, 17, 17, 18, 18, 18, 18, 18, 18, 17, 16, 13, 11, 10, 10, 11, 13, 15, 16, 15, 12, 9, 6, 3, 3, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 2, 2, 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, 1, 9, 25, 51, 90, 141, 203, 273, 342, 402, 443, 457, 442, 400, 338, 266, 195, 133, 85, 50, 27, 13, 5, 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 6, 6, 7, 8, 9, 11, 13, 15, 18, 22, 25, 28, 30, 30, 29, 27, 24, 21, 18, 16, 14, 13, 12, 10, 9, 7, 7, 6, 6, 7, 7, 7, 6, 4, 3, 3, 3, 4, 5, 7, 9, 10, 11, 13, 14, 15, 15, 16, 16, 15, 15, 15, 15, 16, 17, 17, 17, 17, 15, 13, 10, 9, 8, 8, 12, 22, 40, 70, 115, 172, 238, 307, 369, 415, 439, 436, 408, 359, 297, 229, 164, 108, 65, 35, 19, 12, 11, 13, 18, 28, 46, 76, 119, 177, 244, 313, 375, 421, 444, 440, 412, 363, 303, 242, 192, 160, 149, 158, 182, 211, 235, 249, 247, 231, 203, 167, 129, 93, 61, 36, 19, 9, 5, 4, 6, 8, 8, 8, 7, 5, 4, 2, 2, 2, 2, 2, 1, 0, 0, 0, 10, 33, 72, 127, 194, 265, 333, 387, 420, 427, 408, 366, 306, 237, 167, 105, 57, 25, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 5, 5, 6, 8, 10, 11, 10, 7, 3, 0, 0, 5, 19, 44, 79, 125, 177, 232, 283, 324, 348, 353, 337, 302, 255, 201, 146, 98, 59, 32, 15, 7, 4, 3, 2, 3, 7, 22, 51, 98, 162, 238, 317, 389, 443, 471, 472, 445, 395, 329, 255, 182, 117, 65, 29, 8, 0, 0, 1, 4, 8, 19, 41, 79, 135, 204, 281, 353, 411, 447, 455, 438, 399, 347, 293, 248, 222, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 222, 250, 302, 368, 434, 485, 509, 500, 458, 389, 307, 223, 148, 88, 46, 21, 8, 3, 4, 6, 8, 11, 12, 13, 13, 12, 10, 8, 5, 4, 3, 2, 3, 5, 13, 27, 54, 96, 154, 227, 307, 384, 447, 486, 495, 472, 420, 349, 268, 189, 120, 66, 30, 9, 0, 0, 0, 3, 5, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9, 8, 6, 5, 5, 5, 5, 6, 7, 8, 8, 8, 7, 7, 7, 7, 9, 11, 14, 17, 19, 21, 22, 23, 23, 23, 22, 21, 19, 16, 14, 11, 10, 9, 9, 10, 12, 13, 14, 14, 13, 11, 10, 9, 9, 9, 10, 11, 11, 10, 9, 7, 5, 4, 4, 5, 6, 8, 8, 9, 8, 8, 7, 6, 4, 4, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 4, 5, 6, 8, 9, 9, 10, 11, 11, 11, 11, 10, 8, 7, 5, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 3, 12, 31, 60, 99, 145, 192, 233, 259, 266, 252, 220, 176, 128, 83, 46, 21, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 5, 7, 7, 7, 5, 3, 1, 0, 0, 0, 0, 1, 2, 4, 4, 4, 3, 2, 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, 1, 1, 1, 1, 1, 1, 2, 4, 6, 7, 8, 8, 7, 6, 4, 2, 1, 0, 0, 0, 1, 3, 5, 7, 9, 10, 11, 11, 11, 11, 10, 9, 9, 8, 8, 8, 7, 5, 3, 0, 0, 4, 18, 46, 88, 143, 207, 272, 329, 370, 389, 382, 351, 301, 239, 175, 117, 71, 40, 23, 17, 17, 18, 19, 17, 14, 11, 8, 7, 7, 8, 7, 6, 4, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 15, 42, 87, 150, 224, 302, 372, 423, 448, 440, 403, 343, 268, 191, 121, 66, 29, 8, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 3, 5, 6, 7, 7, 6, 6, 6, 8, 9, 11, 12, 12, 11, 9, 7, 5, 4, 3, 3, 3, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 4, 5, 5, 5, 7, 9, 12, 16, 19, 21, 23, 24, 25, 25, 26, 25, 23, 20, 17, 13, 10, 8, 6, 5, 5, 6, 7, 10, 14, 21, 33, 54, 84, 126, 177, 233, 286, 328, 349, 346, 318, 271, 212, 153, 101, 62, 38, 26, 22, 23, 24, 24, 23, 21, 21, 21, 21, 22, 22, 22, 21, 19, 17, 15, 14, 13, 12, 12, 12, 12, 12, 12, 12, 13, 13, 14, 15, 16, 18, 18, 19, 19, 18, 17, 15, 12, 8, 3, 0, 0, 11, 36, 78, 137, 209, 285, 354, 405, 428, 419, 380, 317, 242, 165, 99, 49, 18, 3, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 8, 21, 42, 69, 100, 130, 155, 169, 170, 158, 135, 105, 75, 47, 27, 15, 10, 9, 10, 10, 10, 8, 6, 5, 5, 5, 4, 4, 3, 3, 3, 4, 6, 7, 9, 9, 10, 10, 10, 10, 11, 12, 12, 13, 13, 14, 14, 14, 13, 10, 8, 5, 2, 1, 1, 1, 1, 1, 2, 2, 3, 4, 5, 5, 6, 5, 4, 3, 1, 0, 0, 1, 10, 30, 64, 113, 171, 232, 285, 320, 330, 314, 276, 222, 164, 109, 64, 31, 11, 1, 0, 0, 1, 1, 0, 0, 2, 22, 65, 138, 240, 364, 496, 616, 704, 744, 729, 659, 547, 413, 278, 162, 77, 25, 2, 0, 0, 2, 3, 2, 0, 0, 0, 0, 2, 4, 6, 7, 8, 9, 8, 8, 8, 8, 9, 10, 10, 10, 8, 6, 4, 3, 2, 1, 0, 0, 0, 8, 28, 61, 109, 166, 228, 283, 323, 342, 334, 302, 251, 191, 131, 79, 42, 20, 10, 8, 9, 9, 9, 7, 6, 4, 3, 3, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 7, 8, 8, 8, 8, 7, 7, 8, 11, 13, 15, 15, 13, 9, 5, 2, 1, 2, 5, 8, 10, 12, 11, 10, 8, 7, 7, 7, 8, 10, 11, 11, 12, 11, 11, 10, 9, 8, 7, 8, 9, 11, 13, 15, 17, 18, 17, 16, 15, 14, 13, 14, 15, 17, 17, 17, 15, 13, 11, 9, 7, 4, 1, 0, 0, 13, 45, 97, 169, 253, 336, 403, 441, 445, 415, 357, 283, 206, 136, 80, 41, 17, 7, 5, 8, 10, 9, 6, 4, 8, 24, 56, 105, 168, 238, 304, 355, 384, 387, 362, 315, 254, 188, 126, 75, 38, 17, 9, 9, 14, 19, 23, 25, 25, 26, 26, 27, 28, 27, 26, 24, 22, 20, 19, 19, 19, 18, 17, 15, 15, 15, 15, 17, 19, 20, 21, 21, 19, 18, 17, 16, 16, 16, 16, 16, 15, 14, 13, 12, 11, 10, 8, 6, 4, 3, 1, 1, 1, 0, 0, 0, 1, 10, 31, 64, 108, 159, 208, 248, 271, 273, 253, 215, 166, 115, 69, 34, 12, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 3, 5, 6, 6, 6, 5, 4, 3, 2, 2, 2, 3, 3, 3, 4, 5, 5, 5, 5, 4, 3, 3, 2, 2, 3, 4, 5, 5, 4, 4, 3, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 3, 2, 1, 0, 1, 2, 3, 3, 2, 1, 0, 0, 2, 3, 2, 0, 0, 4, 31, 87, 177, 298, 436, 569, 671, 723, 711, 639, 521, 381, 244, 130, 53, 10, 0, 0, 7, 14, 16, 15, 13, 10, 9, 9, 10, 11, 12, 13, 14, 14, 14, 13, 12, 12, 12, 12, 13, 13, 13, 13, 12, 11, 10, 9, 8, 7, 5, 5, 5, 6, 7, 9, 10, 9, 8, 6, 3, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 4, 6, 7, 8, 7, 7, 6, 7, 9, 13, 18, 22, 24, 24, 21, 17, 13, 10, 9, 9, 9, 9, 8, 6, 4, 3, 2, 2, 1, 0, 0, 3, 20, 58, 119, 202, 299, 395, 474, 519, 521, 478, 398, 298, 195, 108, 45, 10, 0, 0, 2, 5, 4, 0, 0, 0, 10, 36, 79, 137, 205, 272, 328, 362, 368, 344, 295, 230, 161, 99, 50, 19, 3, 0, 0, 1, 3, 4, 4, 4, 3, 3, 2, 1, 1, 1, 2, 3, 4, 4, 3, 1, 0, 0, 0, 0, 1, 3, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 4, 6, 7, 8, 8, 8, 8, 6, 5, 3, 2, 1, 0, 0, 0, 0, 0, 1, 2, 5, 8, 11, 13, 15, 16, 17, 17, 18, 18, 19, 20, 22, 24, 27, 30, 32, 33, 32, 30, 27, 24, 21, 18, 14, 7, 0, 0, 7, 41, 105, 203, 326, 459, 580, 664, 695, 665, 580, 457, 321, 194, 96, 32, 2, 0, 0, 4, 5, 2, 0, 1, 22, 70, 148, 257, 387, 521, 637, 714, 734, 692, 595, 462, 323, 206, 136, 126, 171, 256, 356, 443, 495, 501, 462, 388, 297, 205, 126, 67, 29, 10, 3, 3, 6, 6, 4, 1, 0, 11, 42, 103, 195, 314, 448, 574, 671, 718, 703, 630, 512, 372, 236, 125, 50, 10, 0, 0, 2, 5, 5, 3, 3, 4, 7, 8, 8, 7, 5, 5, 6, 8, 9, 10, 10, 8, 5, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 7, 27, 60, 108, 164, 221, 267, 294, 296, 272, 226, 169, 111, 61, 25, 6, 0, 0, 3, 7, 8, 9, 9, 8, 8, 7, 5, 2, 0, 0, 0, 2, 2, 0, 0, 0, 14, 52, 119, 214, 326, 438, 528, 577, 574, 520, 425, 311, 198, 105, 41, 7, 0, 0, 3, 5, 4, 0, 0, 0, 13, 41, 86, 145, 213, 280, 335, 367, 369, 338, 281, 208, 135, 77, 47, 52, 89, 151, 221, 284, 326, 336, 315, 266, 202, 135, 77, 35, 10, 0, 0, 1, 3, 4, 2, 1, 0, 0, 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 13, 13, 12, 11, 12, 13, 14, 16, 17, 17, 17, 17, 17, 18, 19, 19, 18, 16, 14, 11, 9, 5, 1, 0, 0, 15, 52, 116, 206, 313, 424, 517, 574, 582, 538, 451, 338, 221, 122, 51, 11, 0, 0, 2, 5, 4, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 5, 7, 9, 10, 10, 11, 12, 13, 15, 16, 16, 15, 12, 9, 5, 3, 2, 2, 3, 6, 8, 11, 13, 13, 11, 9, 8, 10, 17, 27, 38, 47, 51, 49, 42, 31, 20, 11, 4, 1, 4, 19, 49, 97, 161, 236, 308, 363, 391, 384, 343, 278, 202, 128, 69, 28, 6, 0, 0, 3, 6, 8, 8, 8, 7, 7, 6, 6, 7, 7, 8, 9, 8, 7, 6, 5, 5, 6, 8, 9, 8, 5, 1, 0, 0, 0, 4, 5, 2, 0, 0, 18, 72, 170, 308, 471, 628, 748, 803, 778, 680, 531, 364, 212, 97, 27, 0, 0, 2, 9, 11, 10, 7, 6, 8, 11, 13, 15, 15, 14, 13, 11, 10, 10, 11, 12, 13, 12, 10, 6, 1, 0, 0, 1, 5, 7, 3, 0, 0, 14, 67, 164, 302, 466, 626, 751, 812, 796, 706, 562, 396, 240, 117, 38, 2, 0, 0, 8, 11, 10, 6, 4, 4, 6, 9, 13, 16, 17, 18, 17, 14, 11, 8, 7, 7, 9, 11, 14, 15, 16, 16, 15, 14, 13, 12, 11, 12, 13, 14, 17, 19, 21, 21, 21, 19, 16, 14, 12, 12, 14, 15, 16, 17, 15, 13, 11, 9, 9, 10, 13, 17, 20, 21, 22, 22, 21, 20, 17, 12, 5, 0, 3, 20, 57, 119, 201, 294, 382, 448, 476, 459, 398, 306, 202, 113, 61, 66, 132, 253, 406, 561, 685, 748, 738, 656, 522, 366, 219, 105, 33, 0, 0, 0, 7, 9, 6, 2, 0, 0, 1, 2, 3, 2, 1, 1, 1, 2, 3, 3, 3, 3, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 7, 9, 10, 10, 8, 6, 5, 3, 2, 2, 3, 5, 7, 9, 10, 10, 8, 5, 2, 1, 1, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 2, 1, 0, 0, 1, 3, 5, 6, 6, 5, 5, 7, 10, 13, 15, 15, 13, 10, 7, 6, 6, 6, 3, 0, 0, 10, 47, 118, 222, 350, 479, 584, 639, 631, 561, 445, 309, 181, 83, 23, 0, 0, 1, 7, 8, 6, 4, 4, 6, 9, 11, 11, 8, 5, 3, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 4, 8, 12, 16, 19, 20, 18, 16, 13, 11, 10, 9, 9, 8, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 2, 2, 2, 3, 5, 7, 10, 12, 13, 13, 12, 10, 8, 7, 7, 7, 7, 7, 6, 6, 5, 4, 5, 6, 7, 9, 9, 10, 11, 12, 13, 15, 16, 16, 15, 13, 10, 7, 5, 3, 3, 3, 4, 6, 8, 9, 9, 8, 7, 6, 8, 11, 17, 24, 31, 36, 38, 36, 32, 26, 19, 13, 10, 8, 9, 11, 13, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 24, 24, 23, 22, 21, 21, 22, 22, 22, 21, 19, 16, 14, 13, 12, 12, 8, 3, 0, 4, 33, 97, 202, 343, 500, 644, 742, 768, 712, 585, 416, 249, 129, 90, 148, 296, 502, 720, 899, 997, 993, 888, 710, 500, 300, 143, 44, 0, 0, 4, 18, 26, 25, 16, 7, 5, 21, 64, 141, 251, 383, 517, 624, 681, 672, 597, 472, 328, 202, 128, 126, 201, 335, 496, 645, 744, 768, 710, 585, 422, 255, 119, 37, 20, 62, 144, 242, 331, 389, 404, 375, 311, 229, 145, 76, 29, 4, 0, 0, 5, 9, 10, 10, 9, 10, 12, 14, 15, 17, 18, 18, 18, 18, 18, 16, 15, 13, 11, 11, 11, 13, 16, 18, 21, 22, 23, 23, 24, 25, 27, 29, 30, 30, 28, 25, 24, 23, 22, 19, 12, 2, 0, 8, 50, 137, 272, 442, 623, 779, 873, 883, 803, 653, 466, 284, 138, 43, 0, 0, 0, 10, 16, 15, 7, 0, 0, 3, 43, 121, 240, 390, 547, 678, 755, 755, 679, 541, 375, 218, 106, 60, 87, 175, 299, 426, 525, 574, 563, 497, 392, 273, 161, 75, 22, 0, 0, 11, 23, 31, 33, 31, 26, 23, 22, 23, 25, 27, 27, 25, 23, 20, 19, 19, 22, 26, 30, 32, 33, 30, 25, 20, 16, 13, 11, 8, 4, 0, 2, 19, 58, 126, 219, 325, 422, 487, 500, 455, 362, 249, 153, 112, 150, 270, 451, 652, 826, 928, 933, 840, 671, 465, 269, 119, 40, 33, 85, 169, 256, 321, 349, 335, 287, 220, 148, 85, 39, 13, 2, 3, 8, 14, 17, 18, 17, 16, 14, 13, 12, 10, 8, 7, 5, 5, 5, 5, 6, 5, 5, 4, 3, 2, 2, 3, 3, 3, 3, 3, 3, 4, 5, 6, 8, 9, 10, 10, 9, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 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, 1, 3, 4, 4, 4, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 4, 3, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 3, 3, 1, 0, 0, 8, 35, 84, 153, 230, 302, 353, 369, 347, 292, 218, 140, 74, 29, 5, 0, 0, 2, 4, 3, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 4, 6, 7, 6, 4, 2, 1, 0, 0, 0, 2, 4, 5, 5, 4, 3, 1, 0, 0, 1, 3, 3, 2, 0, 0, 0, 0, 4, 9, 8, 1, 0, 0, 31, 107, 229, 384, 544, 671, 735, 717, 623, 478, 317, 174, 71, 15, 0, 0, 2, 6, 5, 3, 0, 0, 0, 0, 7, 35, 89, 171, 269, 368, 442, 474, 454, 387, 289, 185, 95, 34, 2, 0, 0, 5, 8, 5, 1, 0, 0, 0, 4, 7, 8, 8, 6, 4, 3, 3, 4, 5, 6, 6, 5, 3, 1, 0, 0, 0, 0, 1, 2, 3, 4, 5, 4, 1, 0, 0, 0, 2, 8, 11, 7, 0, 0, 14, 82, 210, 390, 596, 784, 907, 930, 848, 682, 475, 276, 122, 30, 0, 0, 5, 14, 13, 6, 0, 0, 0, 4, 7, 8, 7, 4, 2, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 3, 1, 0, 0, 2, 4, 4, 1, 0, 0, 16, 59, 130, 225, 326, 413, 464, 465, 416, 330, 228, 131, 57, 14, 0, 0, 5, 12, 15, 16, 16, 18, 22, 27, 30, 29, 25, 19, 15, 14, 15, 14, 7, 0, 0, 12, 70, 177, 331, 508, 674, 789, 822, 764, 625, 440, 251, 103, 27, 36, 123, 261, 412, 536, 605, 602, 533, 418, 287, 166, 76, 22, 0, 0, 0, 4, 5, 5, 3, 0, 0, 0, 4, 29, 78, 150, 236, 318, 378, 399, 375, 314, 229, 142, 70, 23, 0, 0, 1, 7, 10, 9, 7, 4, 3, 2, 3, 3, 2, 2, 1, 2, 4, 6, 8, 9, 11, 11, 10, 8, 5, 2, 0, 1, 4, 7, 8, 5, 0, 0, 12, 57, 138, 252, 385, 508, 593, 617, 569, 457, 307, 156, 45, 9, 67, 215, 426, 655, 848, 959, 961, 854, 665, 439, 229, 73, 0, 0, 59, 151, 243, 307, 331, 311, 256, 184, 112, 54, 17, 1, 0, 1, 4, 4, 3, 2, 3, 7, 13, 18, 20, 18, 14, 8, 4, 2, 2, 4, 5, 2, 0, 0, 9, 43, 103, 184, 274, 352, 399, 402, 360, 284, 195, 111, 48, 11, 0, 0, 2, 6, 7, 6, 5, 5, 7, 9, 10, 11, 12, 12, 12, 11, 10, 9, 8, 8, 8, 9, 9, 9, 8, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 13, 12, 10, 9, 9, 11, 15, 19, 22, 24, 24, 22, 19, 16, 14, 12, 11, 9, 8, 7, 6, 5, 4, 4, 3, 3, 3, 3, 4, 4, 3, 1, 0, 0, 0, 3, 9, 11, 5, 0, 0, 18, 86, 207, 371, 550, 702, 789, 785, 692, 535, 356, 195, 79, 15, 0, 0, 1, 6, 7, 5, 3, 0, 0, 0, 14, 66, 163, 304, 470, 628, 742, 780, 730, 603, 428, 247, 98, 10, 0, 43, 132, 232, 315, 359, 355, 309, 235, 153, 81, 30, 4, 0, 0, 6, 8, 7, 3, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 8, 9, 8, 7, 4, 2, 0, 0, 2, 4, 6, 7, 7, 6, 4, 2, 0, 0, 0, 1, 2, 4, 5, 5, 5, 4, 3, 2, 3, 4, 6, 9, 11, 12, 11, 10, 9, 7, 7, 8, 10, 12, 15, 17, 18, 19, 18, 17, 15, 15, 16, 16, 13, 6, 0, 0, 13, 60, 144, 262, 395, 515, 594, 610, 559, 453, 321, 191, 89, 25, 0, 0, 0, 8, 13, 15, 10, 2, 0, 0, 27, 100, 223, 389, 572, 734, 833, 841, 752, 587, 385, 197, 69, 31, 89, 221, 389, 548, 654, 679, 619, 488, 321, 160, 45, 4, 48, 165, 325, 489, 614, 668, 635, 525, 365, 201, 78, 36, 91, 235, 436, 645, 809, 884, 851, 716, 512, 290, 106, 5, 14, 130, 323, 544, 733, 845, 851, 756, 588, 393, 216, 87, 15, 0, 0, 9, 15, 12, 4, 0, 0, 2, 10, 17, 19, 15, 7, 0, 0, 0, 5, 14, 16, 7, 0, 0, 32, 136, 313, 542, 781, 970, 1058, 1021, 869, 644, 404, 200, 65, 0, 0, 0, 14, 19, 15, 9, 5, 6, 9, 12, 13, 11, 8, 7, 8, 10, 13, 14, 13, 11, 7, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 3, 2, 2, 2, 3, 3, 4, 5, 6, 7, 9, 11, 13, 14, 15, 15, 14, 12, 9, 7, 5, 4, 4, 4, 5, 5, 4, 3, 3, 3, 3, 6, 8, 11, 13, 13, 11, 9, 8, 10, 14, 20, 25, 26, 22, 15, 8, 5, 7, 11, 12, 6, 0, 0, 18, 91, 221, 395, 583, 740, 823, 810, 704, 534, 344, 178, 63, 4, 0, 0, 10, 16, 13, 7, 3, 5, 9, 15, 18, 19, 17, 14, 11, 10, 9, 10, 11, 12, 14, 16, 18, 20, 22, 22, 22, 21, 20, 19, 19, 20, 21, 20, 17, 11, 5, 0, 0, 5, 10, 12, 7, 0, 0, 18, 84, 203, 368, 551, 713, 814, 823, 736, 570, 365, 171, 35, 0, 45, 189, 384, 582, 733, 799, 765, 643, 466, 277, 117, 16, 0, 15, 93, 194, 290, 360, 387, 367, 306, 221, 135, 64, 19, 0, 0, 2, 6, 7, 4, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 3, 5, 6, 7, 7, 6, 4, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 4, 7, 10, 11, 12, 10, 9, 8, 8, 9, 11, 13, 13, 13, 12, 10, 10, 11, 13, 16, 18, 18, 16, 13, 8, 4, 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, 1, 1, 1, 0, 0, 1, 3, 6, 9, 12, 14, 14, 13, 10, 8, 6, 5, 6, 7, 10, 12, 13, 14, 13, 13, 12, 12, 11, 11, 11, 10, 8, 5, 2, 0, 0, 0, 1, 4, 5, 2, 0, 0, 9, 38, 89, 154, 222, 276, 300, 288, 243, 177, 108, 51, 14, 0, 0, 1, 6, 7, 4, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 6, 7, 7, 6, 6, 7, 7, 9, 10, 11, 11, 11, 9, 7, 5, 5, 5, 6, 7, 7, 5, 3, 1, 2, 5, 7, 6, 1, 0, 0, 16, 60, 130, 217, 303, 365, 386, 360, 294, 206, 119, 52, 11, 0, 0, 3, 8, 9, 6, 3, 1, 1, 3, 6, 9, 11, 13, 14, 13, 11, 8, 4, 1, 0, 0, 2, 5, 7, 8, 8, 8, 6, 6, 7, 9, 12, 16, 20, 23, 24, 23, 22, 19, 16, 15, 15, 17, 21, 24, 26, 24, 20, 16, 14, 14, 16, 14, 7, 0, 0, 15, 77, 186, 336, 501, 643, 725, 721, 629, 469, 281, 114, 10, 0, 74, 226, 411, 583, 697, 724, 657, 513, 328, 149, 22, 0, 48, 211, 440, 682, 878, 980, 962, 832, 628, 402, 206, 71, 3, 0, 0, 14, 24, 24, 17, 7, 0, 0, 0, 28, 92, 190, 309, 425, 509, 537, 500, 409, 288, 169, 75, 17, 0, 0, 4, 10, 11, 7, 1, 0, 0, 3, 7, 12, 15, 18, 20, 21, 21, 20, 18, 16, 13, 12, 11, 11, 13, 16, 19, 21, 22, 20, 17, 13, 9, 7, 6, 7, 10, 13, 14, 14, 11, 8, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 3, 4, 5, 7, 10, 12, 13, 13, 11, 9, 7, 7, 8, 11, 13, 15, 16, 16, 16, 15, 14, 14, 14, 14, 13, 11, 8, 5, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 3, 4, 4, 5, 4, 3, 2, 2, 2, 4, 6, 9, 11, 12, 13, 13, 12, 11, 10, 10, 10, 10, 11, 12, 13, 15, 16, 16, 16, 15, 14, 13, 13, 14, 16, 19, 22, 24, 24, 23, 20, 16, 14, 14, 14, 14, 12, 7, 0, 0, 0, 4, 12, 14, 7, 0, 0, 21, 106, 252, 443, 642, 797, 864, 824, 686, 492, 293, 132, 32, 0, 0, 5, 16, 16, 8, 0, 0, 0, 0, 4, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 3, 4, 6, 8, 11, 12, 12, 12, 11, 10, 9, 10, 11, 13, 14, 15, 16, 17, 17, 18, 19, 20, 21, 21, 20, 19, 19, 19, 20, 20, 18, 14, 9, 6, 6, 9, 12, 12, 6, 0, 0, 17, 76, 178, 314, 461, 585, 652, 641, 551, 400, 225, 71, 0, 0, 125, 351, 631, 901, 1093, 1155, 1074, 875, 613, 355, 155, 36, 0, 0, 4, 14, 13, 7, 3, 1, 0, 0, 0, 14, 75, 186, 340, 510, 653, 730, 717, 619, 463, 291, 144, 45, 0, 0, 1, 13, 16, 12, 4, 0, 0, 0, 2, 6, 9, 11, 12, 13, 13, 14, 14, 15, 17, 19, 20, 20, 18, 13, 7, 4, 5, 9, 14, 13, 6, 0, 0, 16, 78, 185, 322, 463, 571, 617, 587, 489, 352, 211, 97, 26, 0, 0, 3, 10, 11, 7, 1, 0, 1, 4, 8, 9, 8, 6, 5, 4, 5, 6, 8, 10, 11, 11, 12, 12, 13, 13, 14, 14, 14, 13, 14, 16, 21, 28, 33, 36, 33, 24, 14, 7, 8, 15, 23, 22, 9, 0, 0, 38, 160, 361, 615, 865, 1047, 1106, 1024, 827, 569, 319, 129, 21, 0, 0, 13, 25, 24, 15, 8, 7, 14, 23, 30, 33, 32, 29, 27, 26, 26, 27, 29, 32, 34, 35, 34, 28, 19, 8, 1, 1, 9, 18, 21, 12, 0, 0, 24, 129, 315, 563, 826, 1040, 1145, 1109, 940, 683, 402, 164, 14, 0, 29, 154, 307, 445, 533, 551, 500, 397, 272, 155, 67, 16, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 0, 0, 0, 4, 8, 11, 12, 8, 0, 0, 0, 49, 153, 310, 496, 667, 779, 798, 718, 563, 376, 202, 76, 7, 0, 0, 12, 21, 21, 15, 10, 9, 12, 16, 20, 22, 20, 15, 11, 8, 7, 9, 11, 10, 5, 0, 0, 11, 58, 138, 246, 360, 453, 501, 490, 422, 317, 201, 101, 33, 0, 0, 1, 12, 18, 18, 14, 8, 4, 2, 2, 3, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 3, 5, 6, 7, 6, 6, 5, 5, 6, 7, 7, 8, 9, 9, 9, 9, 9, 9, 7, 6, 5, 3, 3, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 2, 2, 1, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 4, 5, 5, 5, 4, 2, 1, 1, 3, 8, 16, 26, 34, 40, 41, 37, 29, 20, 11, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 6, 6, 7, 7, 7, 6, 5, 4, 4, 4, 7, 10, 15, 20, 24, 25, 25, 22, 17, 13, 10, 10, 11, 14, 16, 16, 12, 6, 2, 2, 4, 8, 8, 3, 0, 0, 18, 74, 166, 282, 397, 481, 510, 475, 386, 269, 154, 64, 11, 0, 0, 11, 23, 28, 29, 26, 23, 20, 19, 18, 18, 19, 22, 25, 28, 29, 27, 23, 17, 12, 9, 8, 10, 14, 18, 20, 21, 21, 19, 18, 16, 16, 16, 16, 16, 17, 17, 18, 19, 20, 20, 20, 19, 18, 17, 17, 16, 16, 17, 17, 18, 18, 19, 21, 22, 23, 24, 23, 20, 18, 18, 20, 24, 26, 22, 12, 0, 0, 10, 66, 164, 293, 427, 530, 573, 543, 449, 319, 186, 81, 17, 0, 0, 5, 12, 13, 8, 3, 1, 2, 6, 9, 11, 12, 13, 14, 16, 17, 17, 17, 16, 15, 15, 15, 17, 20, 23, 27, 30, 32, 33, 34, 33, 31, 27, 21, 16, 11, 10, 13, 18, 22, 23, 16, 5, 0, 1, 34, 101, 201, 317, 425, 498, 515, 472, 379, 263, 150, 63, 12, 0, 0, 8, 18, 21, 21, 20, 21, 23, 25, 25, 20, 13, 7, 7, 12, 21, 25, 17, 0, 0, 6, 84, 240, 465, 723, 954, 1097, 1109, 984, 752, 473, 215, 35, 0, 21, 168, 367, 562, 704, 756, 709, 581, 411, 242, 110, 30, 0, 0, 0, 4, 6, 9, 13, 15, 8, 0, 0, 11, 98, 263, 494, 746, 956, 1064, 1036, 881, 645, 392, 182, 48, 0, 0, 5, 20, 23, 16, 7, 1, 0, 0, 0, 4, 31, 84, 162, 251, 330, 376, 375, 328, 247, 157, 77, 24, 0, 0, 0, 7, 10, 8, 4, 1, 0, 2, 4, 6, 6, 6, 5, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 2, 2, 2, 3, 4, 6, 8, 9, 9, 8, 5, 3, 1, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 7, 9, 12, 13, 14, 15, 15, 14, 13, 11, 9, 8, 7, 9, 11, 15, 17, 18, 17, 15, 12, 8, 5, 4, 4, 6, 9, 13, 17, 19, 20, 18, 15, 12, 9, 8, 9, 11, 14, 16, 18, 18, 16, 13, 10, 7, 5, 4, 3, 2, 1, 1, 1, 2, 2, 3, 4, 4, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 7, 9, 11, 13, 13, 13, 12, 11, 13, 17, 23, 29, 31, 27, 18, 6, 0, 0, 8, 20, 24, 13, 0, 0, 23, 140, 345, 615, 891, 1101, 1183, 1112, 910, 636, 365, 154, 31, 0, 0, 7, 16, 13, 5, 0, 0, 0, 0, 0, 4, 51, 145, 284, 444, 587, 673, 675, 592, 449, 287, 144, 46, 0, 0, 0, 10, 14, 9, 2, 0, 0, 0, 2, 5, 6, 7, 7, 8, 7, 6, 5, 3, 2, 3, 5, 7, 8, 6, 2, 0, 0, 0, 7, 13, 11, 2, 0, 0, 39, 134, 278, 448, 605, 705, 719, 642, 497, 325, 169, 58, 1, 0, 0, 13, 20, 17, 9, 3, 0, 2, 5, 8, 10, 10, 10, 9, 10, 11, 11, 12, 12, 12, 13, 14, 15, 15, 14, 12, 9, 6, 5, 5, 8, 12, 14, 15, 11, 6, 1, 0, 3, 9, 11, 7, 0, 0, 5, 55, 147, 273, 408, 516, 567, 544, 455, 326, 192, 85, 20, 0, 0, 3, 8, 6, 3, 2, 4, 7, 5, 0, 0, 9, 60, 153, 279, 414, 521, 570, 545, 456, 326, 193, 85, 19, 0, 0, 5, 14, 16, 11, 5, 1, 0, 2, 6, 10, 13, 15, 15, 13, 11, 8, 5, 3, 3, 3, 4, 4, 4, 3, 2, 1, 0, 1, 1, 2, 2, 3, 4, 5, 7, 8, 9, 9, 8, 6, 4, 4, 5, 7, 10, 12, 13, 12, 9, 5, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 4, 6, 6, 6, 4, 2, 1, 0, 0, 0, 2, 4, 7, 9, 10, 9, 8, 6, 5, 5, 7, 10, 14, 18, 21, 20, 18, 15, 10, 7, 5, 4, 4, 5, 6, 7, 7, 8, 8, 7, 6, 4, 3, 3, 3, 5, 7, 10, 12, 12, 11, 10, 10, 13, 18, 24, 27, 26, 20, 12, 7, 8, 14, 19, 16, 3, 0, 0, 48, 166, 349, 565, 764, 890, 905, 804, 618, 399, 202, 66, 0, 0, 0, 17, 23, 17, 7, 0, 0, 6, 14, 21, 25, 26, 26, 25, 23, 21, 18, 14, 11, 8, 6, 5, 6, 8, 10, 11, 13, 16, 19, 22, 25, 25, 23, 18, 14, 14, 19, 28, 35, 31, 14, 0, 0, 39, 163, 371, 638, 910, 1119, 1206, 1142, 940, 651, 348, 106, 0, 0, 148, 387, 651, 871, 991, 982, 848, 627, 376, 156, 15, 0, 53, 210, 414, 614, 761, 818, 766, 617, 403, 183, 19, 0, 70, 320, 677, 1060, 1371, 1526, 1484, 1260, 923, 564, 266, 75, 0, 0, 3, 21, 25, 18, 11, 6, 2, 0, 0, 4, 68, 199, 394, 619, 820, 940, 942, 826, 625, 398, 199, 63, 0, 0, 0, 11, 18, 18, 15, 9, 0, 0, 0, 21, 99, 232, 407, 587, 725, 781, 736, 604, 423, 243, 102, 19, 0, 0, 8, 18, 17, 10, 4, 2, 6, 13, 19, 21, 19, 13, 6, 3, 5, 11, 19, 20, 12, 0, 0, 11, 84, 218, 402, 600, 762, 843, 819, 698, 514, 317, 154, 47, 0, 0, 0, 4, 10, 13, 14, 10, 0, 0, 0, 36, 151, 340, 581, 821, 997, 1056, 980, 792, 546, 308, 126, 22, 0, 0, 5, 17, 18, 14, 6, 0, 0, 0, 15, 79, 191, 343, 509, 646, 717, 700, 599, 443, 274, 131, 37, 0, 0, 4, 17, 21, 16, 7, 1, 1, 6, 12, 16, 16, 12, 5, 1, 0, 3, 7, 7, 2, 0, 0, 19, 71, 153, 252, 345, 406, 417, 374, 291, 191, 99, 34, 1, 0, 0, 6, 9, 6, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 2, 2, 3, 4, 6, 9, 11, 13, 13, 12, 10, 8, 5, 3, 1, 0, 0, 0, 0, 0, 1, 3, 5, 7, 8, 7, 6, 5, 6, 10, 16, 21, 22, 18, 9, 0, 0, 0, 10, 19, 18, 4, 0, 0, 55, 193, 405, 659, 894, 1045, 1067, 952, 736, 479, 247, 83, 1, 0, 0, 17, 23, 17, 4, 0, 0, 0, 3, 7, 7, 5, 2, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 7, 7, 6, 4, 3, 3, 4, 5, 6, 7, 8, 8, 7, 6, 5, 3, 2, 1, 1, 2, 5, 8, 12, 15, 16, 17, 16, 14, 12, 12, 12, 13, 15, 18, 20, 20, 19, 17, 13, 9, 6, 5, 6, 9, 13, 16, 18, 18, 14, 9, 4, 0, 0, 1, 7, 12, 13, 10, 2, 0, 0, 0, 14, 27, 26, 7, 0, 0, 65, 245, 529, 873, 1197, 1413, 1454, 1309, 1020, 670, 350, 121, 4, 0, 0, 23, 33, 24, 7, 0, 0, 0, 7, 15, 17, 16, 12, 7, 4, 3, 2, 2, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 7, 11, 13, 11, 5, 0, 0, 0, 8, 15, 14, 3, 0, 0, 46, 158, 331, 539, 736, 870, 902, 824, 657, 441, 227, 58, 0, 0, 107, 330, 614, 901, 1119, 1209, 1145, 945, 667, 386, 164, 33, 0, 0, 11, 25, 23, 11, 0, 0, 0, 1, 8, 12, 13, 12, 10, 8, 6, 3, 1, 0, 0, 1, 4, 7, 11, 14, 16, 16, 15, 13, 10, 9, 11, 16, 24, 31, 35, 31, 20, 7, 0, 1, 14, 28, 31, 15, 0, 0, 40, 202, 478, 834, 1194, 1462, 1561, 1460, 1189, 828, 471, 196, 36, 0, 0, 17, 33, 30, 13, 0, 0, 0, 8, 20, 27, 29, 26, 22, 17, 13, 10, 8, 5, 4, 3, 3, 3, 4, 5, 6, 7, 9, 12, 17, 22, 25, 23, 17, 8, 0, 0, 1, 11, 18, 15, 1, 0, 0, 67, 211, 426, 678, 908, 1053, 1071, 955, 740, 485, 254, 89, 4, 0, 0, 15, 22, 16, 5, 0, 0, 0, 3, 6, 7, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 3, 6, 9, 12, 12, 11, 7, 4, 1, 0, 0, 0, 1, 3, 4, 5, 7, 8, 8, 7, 6, 5, 6, 8, 12, 15, 16, 13, 7, 2, 0, 3, 7, 10, 7, 0, 0, 5, 53, 145, 273, 413, 532, 595, 584, 502, 372, 231, 111, 32, 0, 0, 1, 10, 12, 7, 0, 0, 0, 0, 4, 7, 7, 6, 5, 4, 3, 3, 3, 3, 4, 6, 8, 11, 13, 15, 16, 16, 15, 14, 13, 13, 13, 13, 14, 14, 13, 12, 11, 11, 13, 17, 23, 26, 26, 20, 11, 2, 0, 7, 18, 24, 18, 0, 0, 7, 99, 284, 554, 864, 1144, 1321, 1343, 1200, 929, 598, 286, 64, 0, 19, 180, 410, 649, 841, 937, 915, 777, 555, 303, 86, 0, 10, 220, 574, 1002, 1404, 1676, 1744, 1593, 1270, 866, 482, 196, 34, 0, 0, 12, 26, 23, 13, 2, 0, 0, 0, 6, 59, 165, 326, 519, 703, 828, 858, 784, 626, 428, 239, 97, 16, 0, 0, 10, 17, 15, 6, 1, 3, 14, 28, 37, 38, 29, 16, 7, 8, 16, 25, 24, 7, 0, 0, 72, 252, 541, 902, 1263, 1532, 1636, 1542, 1270, 891, 497, 177, 0, 0, 98, 325, 590, 824, 971, 996, 900, 712, 485, 272, 112, 21, 0, 0, 18, 38, 49, 49, 39, 20, 0, 0, 8, 83, 221, 413, 624, 807, 911, 907, 792, 595, 364, 154, 13, 0, 30, 184, 396, 618, 797, 887, 868, 746, 557, 352, 178, 60, 3, 0, 0, 3, 5, 5, 5, 6, 3, 0, 0, 5, 70, 200, 393, 618, 823, 952, 968, 863, 669, 439, 230, 81, 4, 0, 0, 14, 20, 14, 3, 0, 0, 1, 8, 14, 15, 13, 10, 6, 3, 2, 1, 2, 4, 8, 12, 15, 16, 13, 6, 0, 0, 0, 5, 16, 19, 10, 0, 0, 23, 125, 305, 543, 793, 990, 1079, 1032, 864, 622, 372, 169, 42, 0, 0, 6, 20, 21, 11, 0, 0, 0, 0, 5, 8, 9, 9, 8, 7, 6, 7, 9, 12, 18, 23, 27, 28, 24, 18, 11, 8, 10, 15, 17, 11, 0, 0, 11, 78, 208, 393, 607, 802, 930, 955, 864, 678, 441, 209, 39, 0, 32, 210, 469, 752, 992, 1128, 1128, 993, 757, 476, 215, 28, 0, 22, 218, 513, 846, 1142, 1327, 1352, 1211, 946, 628, 336, 125, 13, 0, 0, 17, 27, 20, 6, 0, 0, 0, 6, 12, 14, 12, 8, 3, 0, 0, 0, 0, 1, 4, 5, 6, 3, 0, 0, 0, 0, 8, 14, 12, 1, 0, 0, 46, 154, 322, 524, 718, 854, 891, 820, 659, 455, 258, 107, 20, 0, 0, 8, 16, 13, 5, 0, 0, 0, 4, 9, 11, 10, 6, 3, 0, 0, 0, 0, 1, 2, 3, 4, 6, 7, 7, 6, 5, 3, 2, 0, 0, 0, 0, 1, 3, 6, 9, 11, 13, 12, 11, 8, 5, 2, 1, 0, 1, 3, 5, 7, 9, 11, 13, 16, 18, 17, 13, 7, 0, 0, 0, 8, 16, 16, 5, 0, 0, 39, 147, 324, 549, 776, 952, 1029, 988, 839, 619, 374, 153, 1, 0, 40, 270, 626, 1052, 1459, 1745, 1833, 1695, 1371, 951, 541, 227, 44, 0, 0, 17, 34, 31, 13, 0, 0, 0, 1, 8, 10, 8, 4, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 5, 7, 8, 8, 7, 4, 2, 0, 1, 3, 6, 9, 11, 11, 10, 8, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 6, 7, 7, 5, 4, 2, 0, 0, 0, 0, 0, 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, 1, 3, 4, 5, 6, 7, 7, 7, 8, 9, 10, 11, 10, 8, 6, 4, 3, 3, 4, 5, 6, 6, 5, 3, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 3, 6, 9, 12, 14, 14, 14, 13, 11, 9, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 4, 4, 4, 3, 4, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 14, 15, 16, 15, 13, 11, 8, 5, 3, 2, 1, 1, 1, 1, 1, 1, 2, 3, 5, 7, 8, 10, 11, 11, 12, 12, 13, 14, 15, 17, 20, 22, 23, 23, 23, 22, 20, 19, 18, 17, 16, 15, 15, 14, 13, 13, 14, 16, 18, 19, 21, 22, 22, 22, 22, 22, 21, 20, 19, 18, 18, 19, 22, 26, 28, 29, 26, 21, 18, 18, 22, 26, 24, 13, 0, 0, 24, 121, 297, 542, 819, 1069, 1231, 1264, 1159, 943, 671, 406, 194, 60, 0, 0, 0, 12, 22, 24, 17, 4, 0, 0, 28, 132, 316, 570, 856, 1112, 1275, 1302, 1183, 952, 666, 391, 178, 47, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 0, 0, 2, 19, 28, 24, 10, 0, 0, 12, 89, 237, 453, 714, 970, 1163, 1243, 1183, 992, 715, 419, 177, 50, 70, 234, 503, 812, 1085, 1258, 1289, 1171, 936, 641, 357, 148, 57, 97, 247, 463, 684, 856, 935, 903, 764, 552, 316, 114, 2, 22, 186, 475, 833, 1186, 1450, 1562, 1496, 1271, 947, 603, 309, 109, 9, 0, 0, 15, 23, 19, 8, 0, 0, 0, 2, 29, 82, 167, 277, 397, 500, 564, 570, 517, 418, 297, 180, 87, 27, 0, 0, 1, 10, 16, 20, 23, 25, 27, 27, 25, 24, 24, 28, 32, 32, 22, 5, 0, 5, 75, 225, 455, 743, 1037, 1273, 1392, 1358, 1173, 878, 542, 250, 75, 66, 231, 536, 910, 1264, 1511, 1593, 1492, 1239, 900, 556, 273, 89, 2, 0, 1, 18, 22, 13, 0, 0, 0, 1, 9, 13, 12, 9, 4, 1, 0, 0, 0, 0, 0, 0, 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, 1, 3, 5, 7, 9, 10, 9, 7, 4, 2, 1, 2, 3, 4, 6, 7, 8, 8, 8, 8, 7, 7, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 5, 5, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 9, 11, 13, 14, 14, 14, 13, 12, 11, 11, 11, 11, 12, 13, 14, 14, 13, 11, 8, 5, 3, 2, 2, 3, 4, 5, 4, 3, 2, 1, 0, 0, 0, 0, 1, 3, 6, 9, 11, 11, 9, 6, 3, 2, 4, 7, 9, 7, 0, 0, 7, 53, 145, 283, 451, 619, 748, 807, 779, 671, 510, 333, 179, 69, 11, 0, 0, 6, 11, 8, 1, 0, 0, 0, 5, 10, 12, 10, 7, 3, 1, 2, 5, 7, 6, 1, 0, 0, 27, 86, 181, 303, 435, 550, 622, 636, 586, 485, 356, 226, 118, 45, 7, 0, 0, 3, 5, 3, 0, 0, 0, 2, 5, 7, 6, 4, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 4, 4, 5, 6, 9, 11, 13, 15, 16, 17, 17, 17, 17, 16, 14, 12, 11, 11, 12, 13, 15, 17, 17, 16, 14, 11, 8, 6, 6, 7, 9, 12, 14, 15, 16, 14, 12, 10, 7, 5, 3, 2, 1, 1, 1, 2, 4, 5, 6, 8, 9, 10, 11, 13, 14, 14, 13, 12, 10, 8, 9, 11, 15, 20, 24, 26, 25, 21, 18, 16, 17, 19, 18, 11, 0, 0, 10, 73, 200, 395, 646, 915, 1154, 1315, 1360, 1279, 1088, 829, 555, 313, 137, 34, 0, 0, 5, 13, 10, 1, 0, 4, 40, 110, 217, 352, 499, 635, 734, 773, 741, 640, 491, 325, 183, 99, 100, 192, 362, 578, 798, 976, 1075, 1074, 974, 798, 584, 373, 198, 79, 16, 0, 0, 4, 7, 4, 0, 0, 0, 5, 11, 15, 15, 12, 8, 4, 2, 2, 3, 5, 8, 10, 11, 12, 12, 11, 10, 9, 8, 7, 8, 9, 12, 16, 19, 21, 21, 19, 15, 11, 8, 8, 8, 6, 2, 0, 0, 20, 74, 171, 310, 478, 649, 793, 880, 891, 822, 687, 514, 337, 186, 79, 18, 0, 0, 3, 6, 5, 1, 0, 0, 0, 4, 7, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 4, 5, 6, 7, 6, 5, 3, 1, 0, 0, 1, 4, 7, 9, 9, 8, 5, 3, 1, 2, 2, 2, 0, 0, 0, 17, 57, 127, 226, 348, 475, 587, 664, 690, 660, 579, 463, 332, 209, 111, 45, 9, 0, 0, 1, 3, 2, 0, 0, 0, 2, 5, 8, 11, 12, 12, 11, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 1, 1, 1, 3, 4, 7, 9, 11, 13, 14, 15, 15, 14, 13, 12, 11, 11, 11, 11, 12, 13, 15, 16, 18, 19, 20, 20, 20, 18, 15, 10, 3, 0, 0, 16, 58, 136, 251, 400, 568, 731, 864, 941, 947, 881, 753, 587, 411, 252, 129, 49, 8, 0, 0, 2, 4, 1, 0, 0, 16, 60, 137, 250, 397, 562, 724, 856, 934, 942, 876, 747, 579, 403, 244, 123, 45, 7, 0, 0, 2, 3, 2, 1, 2, 7, 14, 20, 23, 23, 21, 18, 15, 12, 9, 4, 0, 0, 9, 42, 107, 211, 351, 516, 687, 837, 943, 985, 955, 859, 713, 541, 370, 222, 112, 43, 8, 0, 0, 0, 1, 1, 2, 5, 10, 16, 20, 20, 18, 15, 12, 10, 10, 11, 13, 14, 14, 12, 11, 9, 7, 6, 5, 6, 12, 26, 55, 102, 167, 245, 328, 403, 458, 483, 474, 432, 366, 287, 205, 133, 75, 35, 11, 0, 0, 0, 3, 6, 9, 10, 11, 11, 11, 9, 7, 5, 1, 0, 0, 6, 24, 60, 119, 203, 310, 432, 557, 667, 747, 782, 766, 699, 592, 461, 326, 205, 109, 46, 11, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 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, 1, 2, 3, 5, 6, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 10, 11, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 15, 15, 15, 13, 11, 9, 6, 6, 11, 25, 54, 99, 166, 252, 355, 465, 572, 662, 723, 744, 724, 663, 572, 461, 346, 238, 148, 81, 36, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 5, 6, 8, 9, 10, 10, 9, 8, 8, 8, 9, 9, 9, 9, 8, 7, 6, 5, 5, 6, 7, 9, 10, 11, 11, 11, 12, 14, 16, 18, 19, 20, 19, 18, 17, 16, 18, 23, 33, 49, 74, 110, 160, 223, 296, 374, 449, 510, 551, 566, 554, 520, 469, 412, 360, 321, 304, 314, 351, 410, 486, 567, 643, 702, 736, 740, 713, 656, 577, 481, 380, 281, 193, 121, 68, 33, 12, 3, 0, 0, 0, 0, 0, 1, 2, 4, 6, 8, 9, 9, 9, 8, 7, 7, 8, 8, 8, 8, 7, 5, 3, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 4, 6, 9, 15, 23, 33, 47, 64, 84, 107, 134, 162, 189, 214, 234, 247, 253, 251, 242, 227, 207, 184, 158, 130, 103, 78, 57, 41, 30, 22, 17, 14, 11, 8, 7, 8, 11, 18, 27, 40, 56, 77, 102, 131, 164, 202, 244, 290, 335, 379, 415, 440, 452, 450, 434, 409, 375, 337, 296, 254, 213, 174, 139, 110, 87, 71, 61, 55, 55, 61, 72, 91, 116, 149, 186, 226, 267, 306, 342, 374, 401, 422, 436, 442, 439, 427, 405, 374, 335, 292, 246, 202, 162, 128, 99, 76, 57, 40, 26, 15, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 5, 6, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 4, 4, 4, 3, 2, 2, 2, 3, 4, 6, 8, 10, 11, 12, 13, 14, 14, 16, 18, 21, 25, 28, 32, 36, 40, 45, 51, 59, 67, 75, 85, 94, 104, 115, 127, 140, 153, 166, 179, 192, 203, 212, 220, 225, 228, 228, 227, 225, 223, 219, 216, 211, 206, 199, 192, 184, 174, 164, 153, 141, 129, 117, 108, 100, 93, 85, 75, 66, 60, 55, 53, 52],
"peakG": [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 2, 3, 3, 3, 2, 2, 2, 3, 5, 6, 7, 7, 6, 5, 5, 6, 9, 13, 17, 21, 23, 25, 27, 30, 35, 40, 45, 49, 52, 54, 56, 58, 62, 68, 74, 80, 85, 88, 90, 93, 96, 101, 106, 112, 117, 121, 125, 129, 133, 137, 141, 143, 144, 143, 142, 142, 144, 148, 153, 158, 162, 164, 164, 164, 163, 163, 163, 162, 161, 158, 156, 154, 154, 155, 156, 156, 155, 154, 152, 150, 149, 150, 151, 151, 149, 146, 141, 136, 131, 127, 124, 123, 122, 121, 119, 117, 114, 113, 112, 112, 113, 112, 110, 107, 103, 99, 97, 97, 97, 97, 96, 93, 88, 84, 80, 78, 77, 78, 78, 78, 77, 76, 75, 74, 73, 73, 73, 74, 74, 74, 75, 77, 79, 80, 82, 83, 83, 84, 86, 88, 91, 93, 95, 95, 95, 94, 93, 92, 92, 93, 95, 97, 99, 102, 104, 107, 108, 108, 108, 108, 108, 110, 114, 118, 124, 128, 131, 132, 130, 126, 122, 118, 115, 114, 116, 120, 126, 131, 135, 137, 136, 133, 129, 125, 122, 122, 122, 123, 123, 122, 120, 116, 112, 108, 104, 101, 99, 98, 98, 98, 99, 100, 100, 100, 99, 98, 97, 97, 97, 97, 96, 93, 90, 88, 86, 86, 88, 91, 94, 96, 97, 97, 96, 96, 97, 99, 101, 102, 102, 101, 99, 97, 96, 94, 94, 93, 94, 94, 96, 97, 99, 99, 99, 98, 97, 96, 96, 96, 96, 96, 95, 93, 91, 89, 89, 90, 92, 95, 97, 97, 96, 93, 89, 85, 84, 83, 85, 88, 91, 93, 93, 91, 89, 87, 86, 86, 86, 86, 85, 83, 81, 79, 78, 79, 80, 81, 80, 78, 76, 73, 72, 73, 76, 79, 81, 82, 81, 79, 77, 75, 74, 74, 74, 75, 75, 75, 74, 73, 72, 71, 70, 68, 67, 65, 64, 64, 63, 64, 65, 67, 70, 72, 75, 76, 76, 74, 72, 70, 68, 68, 68, 70, 73, 75, 77, 79, 80, 80, 79, 79, 79, 78, 78, 78, 78, 78, 78, 78, 79, 81, 82, 84, 87, 92, 101, 115, 136, 162, 194, 226, 256, 281, 298, 309, 316, 321, 328, 339, 353, 370, 385, 397, 403, 403, 400, 395, 392, 391, 391, 392, 391, 387, 379, 366, 351, 333, 312, 288, 260, 228, 194, 160, 128, 100, 78, 62, 50, 40, 31, 24, 17, 12, 10, 10, 10, 11, 10, 9, 8, 8, 10, 15, 22, 30, 38, 44, 50, 56, 64, 74, 87, 101, 116, 131, 144, 156, 167, 177, 186, 193, 199, 202, 203, 200, 195, 189, 181, 171, 160, 149, 136, 123, 110, 97, 85, 75, 65, 57, 49, 42, 35, 28, 21, 15, 10, 6, 4, 3, 4, 5, 5, 4, 3, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 3, 5, 7, 8, 7, 6, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 5, 7, 9, 10, 12, 14, 16, 16, 16, 15, 14, 15, 17, 21, 27, 34, 40, 47, 53, 60, 68, 79, 91, 104, 116, 128, 139, 150, 162, 175, 190, 204, 216, 226, 233, 236, 236, 234, 230, 224, 217, 208, 199, 190, 182, 175, 171, 168, 168, 168, 169, 170, 172, 175, 179, 185, 192, 200, 207, 211, 213, 212, 209, 204, 200, 196, 192, 189, 185, 179, 172, 164, 157, 152, 149, 148, 148, 150, 151, 153, 155, 158, 162, 167, 172, 175, 176, 175, 174, 173, 172, 173, 172, 171, 166, 160, 151, 141, 132, 124, 117, 112, 109, 106, 105, 105, 108, 113, 119, 125, 132, 138, 142, 145, 147, 148, 148, 147, 145, 142, 139, 134, 129, 122, 113, 104, 93, 82, 72, 64, 56, 50, 44, 39, 34, 29, 24, 20, 17, 14, 12, 10, 9, 8, 7, 7, 8, 9, 10, 11, 13, 15, 18, 22, 26, 32, 37, 44, 50, 58, 66, 76, 88, 99, 110, 119, 128, 135, 143, 152, 161, 170, 176, 179, 178, 174, 169, 164, 159, 154, 149, 141, 130, 117, 103, 90, 79, 70, 62, 55, 48, 41, 35, 31, 29, 29, 31, 35, 38, 42, 45, 48, 53, 59, 67, 77, 88, 98, 109, 118, 126, 133, 140, 145, 150, 154, 156, 157, 156, 153, 149, 144, 139, 134, 129, 124, 120, 116, 113, 112, 112, 113, 116, 120, 125, 132, 142, 154, 168, 184, 200, 214, 227, 240, 251, 263, 277, 290, 303, 315, 324, 330, 334, 337, 340, 344, 350, 357, 364, 368, 370, 367, 362, 356, 350, 345, 341, 337, 333, 328, 320, 310, 299, 287, 274, 261, 248, 234, 220, 206, 191, 175, 159, 142, 125, 107, 91, 76, 63, 53, 45, 39, 33, 28, 23, 18, 13, 10, 7, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 2, 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, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 4, 6, 9, 11, 13, 15, 16, 17, 19, 21, 24, 28, 34, 42, 52, 63, 76, 90, 105, 120, 136, 154, 172, 190, 208, 223, 234, 241, 244, 243, 239, 233, 226, 216, 205, 191, 176, 160, 143, 127, 111, 97, 83, 70, 57, 46, 36, 29, 23, 20, 18, 17, 15, 14, 12, 10, 8, 7, 7, 8, 9, 10, 12, 14, 15, 15, 15, 14, 12, 10, 9, 8, 9, 11, 14, 17, 20, 24, 27, 31, 36, 41, 48, 55, 64, 74, 87, 103, 121, 141, 161, 182, 201, 220, 237, 253, 268, 281, 289, 293, 292, 285, 273, 257, 239, 219, 200, 183, 166, 151, 139, 129, 123, 122, 126, 135, 148, 164, 181, 198, 214, 230, 246, 261, 276, 290, 302, 311, 317, 320, 322, 321, 319, 316, 311, 305, 298, 290, 280, 270, 259, 247, 235, 222, 208, 194, 178, 161, 144, 128, 112, 98, 85, 74, 63, 52, 42, 32, 24, 17, 12, 9, 6, 5, 5, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 8, 10, 12, 16, 21, 27, 34, 42, 50, 58, 67, 78, 90, 103, 116, 128, 136, 140, 140, 137, 133, 128, 125, 122, 119, 114, 107, 96, 82, 67, 52, 39, 30, 24, 20, 17, 13, 9, 5, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 4, 4, 4, 4, 3, 2, 2, 3, 5, 8, 11, 12, 13, 12, 11, 10, 9, 10, 11, 12, 12, 11, 9, 8, 8, 9, 11, 14, 17, 20, 23, 27, 32, 40, 51, 63, 76, 90, 105, 122, 140, 161, 183, 206, 228, 248, 263, 276, 285, 291, 295, 298, 301, 304, 307, 312, 315, 317, 316, 311, 302, 290, 275, 259, 244, 229, 215, 200, 185, 168, 149, 130, 111, 93, 77, 62, 50, 39, 31, 25, 19, 15, 12, 9, 7, 7, 7, 7, 7, 7, 7, 6, 6, 5, 5, 4, 4, 3, 3, 3, 4, 5, 7, 9, 11, 12, 13, 13, 13, 13, 14, 17, 23, 31, 42, 53, 65, 77, 90, 104, 121, 140, 161, 184, 207, 229, 252, 274, 296, 317, 336, 352, 361, 365, 363, 357, 351, 345, 342, 341, 341, 341, 337, 330, 318, 302, 283, 263, 244, 226, 209, 193, 177, 162, 147, 135, 127, 124, 125, 131, 140, 152, 164, 177, 188, 198, 205, 209, 210, 208, 206, 202, 196, 189, 179, 166, 150, 133, 115, 99, 85, 73, 62, 51, 42, 32, 24, 17, 12, 9, 7, 7, 7, 8, 9, 9, 8, 7, 5, 4, 3, 2, 2, 1, 1, 1, 0, 1, 1, 2, 3, 3, 3, 3, 3, 4, 6, 9, 14, 19, 25, 33, 42, 53, 65, 79, 93, 108, 125, 142, 161, 180, 198, 213, 225, 232, 233, 229, 221, 210, 198, 185, 170, 154, 137, 118, 99, 80, 64, 50, 40, 32, 27, 22, 18, 14, 11, 9, 8, 8, 8, 9, 10, 11, 12, 13, 14, 15, 18, 22, 27, 33, 39, 46, 54, 63, 74, 88, 105, 124, 145, 167, 186, 203, 215, 224, 230, 232, 233, 232, 228, 221, 210, 196, 179, 162, 145, 129, 115, 104, 97, 93, 94, 98, 106, 117, 131, 146, 163, 182, 202, 222, 242, 261, 277, 292, 305, 318, 330, 342, 354, 364, 371, 377, 380, 384, 388, 393, 401, 409, 417, 423, 425, 423, 419, 414, 410, 409, 410, 413, 416, 418, 417, 413, 409, 404, 401, 400, 400, 399, 396, 391, 383, 375, 367, 360, 354, 349, 343, 336, 326, 316, 305, 294, 284, 275, 265, 256, 246, 236, 224, 211, 197, 181, 163, 145, 126, 109, 93, 80, 69, 59, 50, 42, 35, 29, 24, 21, 19, 18, 18, 21, 24, 29, 35, 43, 53, 65, 79, 95, 114, 134, 155, 176, 198, 218, 235, 250, 260, 266, 268, 267, 262, 253, 240, 224, 203, 180, 155, 132, 111, 94, 80, 69, 61, 53, 46, 39, 34, 30, 29, 30, 34, 42, 53, 67, 83, 100, 119, 138, 157, 176, 196, 215, 232, 246, 255, 260, 259, 253, 242, 228, 211, 191, 169, 147, 125, 105, 88, 73, 61, 51, 42, 34, 28, 23, 20, 18, 16, 16, 16, 17, 18, 22, 27, 34, 43, 54, 68, 84, 104, 128, 154, 181, 206, 229, 247, 263, 276, 288, 301, 312, 322, 329, 333, 333, 332, 332, 334, 337, 341, 343, 343, 338, 332, 326, 321, 319, 318, 317, 315, 312, 307, 301, 296, 291, 286, 280, 269, 254, 235, 212, 188, 164, 140, 118, 98, 80, 64, 51, 39, 29, 20, 13, 8, 3, 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, 1, 0, 0, 0, 0, 0, 1, 2, 2, 3, 2, 1, 0, 0, 0, 0, 2, 3, 4, 4, 4, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 3, 2, 1, 1, 1, 2, 4, 5, 7, 8, 8, 7, 6, 4, 4, 4, 5, 6, 7, 8, 9, 9, 8, 9, 9, 10, 11, 11, 11, 11, 10, 8, 6, 5, 4, 3, 2, 2, 3, 4, 5, 6, 6, 6, 5, 4, 3, 3, 3, 4, 4, 6, 6, 7, 6, 6, 6, 6, 9, 13, 19, 26, 35, 44, 54, 65, 78, 93, 109, 126, 143, 157, 168, 176, 179, 180, 179, 175, 169, 159, 146, 131, 113, 96, 79, 65, 54, 44, 36, 29, 23, 17, 11, 7, 4, 3, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 3, 2, 1, 0, 0, 1, 4, 7, 10, 12, 14, 16, 22, 32, 46, 64, 85, 108, 133, 158, 185, 213, 242, 271, 298, 320, 339, 352, 362, 370, 378, 385, 392, 400, 406, 412, 416, 419, 420, 418, 412, 401, 384, 359, 329, 293, 254, 214, 177, 142, 112, 87, 67, 50, 37, 25, 16, 9, 4, 1, 0, 0, 0, 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, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 3, 3, 3, 3, 4, 5, 6, 7, 8, 10, 12, 16, 21, 29, 39, 52, 67, 85, 105, 126, 147, 167, 186, 203, 217, 229, 236, 239, 237, 227, 213, 195, 175, 155, 135, 117, 100, 83, 67, 52, 39, 29, 22, 17, 15, 14, 13, 12, 10, 8, 6, 5, 4, 5, 5, 5, 4, 3, 2, 2, 2, 3, 4, 4, 4, 3, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 7, 8, 7, 7, 7, 7, 8, 9, 10, 10, 10, 8, 8, 7, 8, 10, 12, 13, 14, 14, 13, 13, 13, 14, 15, 16, 16, 16, 15, 14, 13, 12, 11, 10, 10, 9, 9, 10, 10, 11, 11, 11, 10, 9, 7, 6, 5, 6, 7, 8, 9, 9, 9, 8, 7, 7, 7, 9, 10, 11, 11, 11, 9, 8, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 8, 9, 10, 9, 8, 5, 3, 1, 1, 2, 3, 4, 5, 5, 4, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 4, 4, 6, 8, 10, 12, 13, 14, 16, 20, 26, 35, 46, 59, 73, 88, 104, 120, 137, 154, 169, 180, 186, 186, 180, 168, 153, 136, 118, 100, 82, 65, 49, 35, 23, 14, 8, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 8, 14, 23, 32, 41, 52, 64, 78, 94, 110, 126, 138, 147, 150, 147, 141, 132, 122, 111, 99, 86, 73, 58, 44, 30, 19, 10, 5, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 8, 15, 23, 34, 47, 62, 80, 101, 124, 149, 174, 197, 216, 230, 238, 239, 233, 221, 205, 186, 165, 143, 121, 99, 79, 61, 46, 34, 24, 16, 10, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 6, 11, 18, 28, 38, 49, 62, 77, 94, 113, 132, 150, 164, 175, 181, 185, 186, 185, 180, 169, 153, 132, 107, 83, 61, 45, 33, 26, 20, 16, 11, 7, 4, 2, 1, 2, 3, 5, 7, 10, 12, 16, 21, 28, 38, 50, 65, 83, 103, 123, 144, 163, 180, 192, 200, 201, 197, 187, 174, 157, 140, 122, 105, 90, 75, 62, 50, 41, 36, 35, 40, 50, 65, 85, 107, 131, 155, 178, 199, 217, 232, 242, 246, 245, 237, 223, 203, 179, 154, 128, 105, 86, 72, 63, 61, 65, 73, 87, 105, 128, 156, 188, 223, 260, 295, 324, 345, 356, 358, 353, 342, 330, 317, 306, 297, 291, 285, 281, 276, 270, 262, 251, 238, 220, 200, 176, 151, 125, 99, 75, 54, 37, 25, 15, 9, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 5, 5, 5, 5, 6, 8, 13, 21, 32, 47, 66, 87, 111, 134, 157, 177, 194, 208, 218, 224, 224, 218, 205, 186, 163, 137, 112, 90, 70, 54, 41, 30, 21, 14, 8, 5, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 8, 10, 11, 10, 7, 3, 1, 0, 1, 4, 6, 9, 9, 9, 8, 7, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 1, 0, 0, 0, 2, 5, 7, 8, 7, 6, 4, 3, 3, 5, 8, 11, 13, 13, 12, 12, 13, 16, 22, 32, 45, 62, 82, 107, 136, 170, 207, 245, 282, 316, 343, 362, 373, 376, 372, 364, 353, 339, 325, 312, 301, 292, 286, 283, 280, 277, 270, 258, 241, 218, 191, 162, 134, 108, 86, 70, 58, 51, 48, 48, 53, 62, 75, 94, 119, 149, 182, 215, 245, 270, 286, 293, 291, 280, 262, 237, 208, 178, 148, 120, 95, 73, 56, 41, 29, 19, 12, 7, 5, 5, 6, 8, 9, 11, 12, 13, 14, 14, 14, 14, 13, 12, 11, 11, 12, 13, 14, 13, 12, 11, 9, 7, 5, 4, 3, 3, 3, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 1, 2, 4, 4, 5, 5, 6, 7, 9, 11, 13, 15, 15, 14, 12, 10, 9, 8, 10, 12, 17, 25, 34, 47, 61, 79, 99, 122, 147, 173, 198, 220, 236, 244, 243, 234, 218, 198, 175, 152, 130, 108, 87, 67, 50, 35, 25, 18, 15, 14, 14, 14, 14, 14, 15, 16, 17, 17, 17, 16, 14, 12, 10, 9, 8, 8, 7, 7, 6, 4, 3, 3, 3, 3, 5, 6, 7, 7, 8, 8, 9, 11, 14, 20, 29, 40, 55, 74, 95, 119, 146, 173, 200, 225, 246, 259, 264, 259, 246, 225, 199, 171, 143, 117, 93, 71, 52, 37, 25, 16, 11, 9, 9, 10, 10, 10, 9, 7, 5, 3, 3, 3, 4, 5, 7, 8, 8, 7, 5, 4, 3, 3, 5, 8, 12, 17, 24, 32, 44, 60, 81, 106, 135, 164, 192, 214, 229, 235, 234, 225, 210, 192, 170, 146, 121, 96, 72, 52, 37, 26, 19, 16, 13, 11, 8, 6, 3, 2, 3, 6, 10, 16, 21, 28, 37, 51, 71, 99, 136, 179, 226, 273, 315, 349, 373, 385, 385, 374, 354, 324, 288, 248, 205, 164, 127, 97, 77, 67, 70, 84, 108, 141, 180, 221, 261, 299, 332, 358, 377, 388, 391, 387, 377, 365, 352, 343, 337, 336, 338, 341, 342, 338, 327, 308, 282, 249, 214, 177, 142, 111, 85, 64, 48, 38, 35, 39, 49, 67, 91, 119, 150, 182, 214, 243, 268, 287, 298, 298, 289, 270, 244, 212, 177, 143, 111, 83, 60, 43, 31, 23, 19, 17, 16, 16, 15, 14, 12, 11, 10, 10, 10, 11, 12, 12, 12, 12, 11, 11, 11, 11, 12, 13, 14, 15, 17, 20, 26, 37, 53, 76, 105, 142, 182, 226, 268, 307, 340, 363, 377, 382, 380, 373, 364, 354, 348, 344, 344, 347, 351, 355, 359, 360, 358, 354, 347, 340, 334, 330, 330, 336, 345, 357, 368, 375, 377, 371, 359, 343, 326, 312, 303, 301, 304, 310, 316, 320, 317, 308, 292, 269, 241, 209, 175, 141, 109, 80, 56, 37, 22, 12, 6, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 3, 4, 4, 5, 6, 7, 6, 5, 3, 1, 0, 0, 0, 2, 4, 6, 7, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 2, 1, 1, 0, 0, 1, 1, 3, 4, 6, 7, 8, 7, 5, 3, 1, 0, 0, 0, 3, 7, 12, 19, 27, 39, 55, 77, 104, 137, 174, 212, 249, 282, 308, 324, 329, 321, 301, 271, 233, 192, 152, 115, 86, 64, 48, 38, 30, 25, 20, 16, 13, 11, 11, 11, 12, 13, 14, 15, 18, 25, 37, 54, 78, 108, 142, 181, 223, 265, 305, 339, 363, 375, 375, 365, 351, 337, 327, 325, 331, 342, 355, 367, 376, 377, 371, 356, 332, 299, 259, 213, 167, 124, 87, 59, 40, 29, 27, 32, 44, 64, 91, 124, 161, 197, 229, 251, 263, 263, 254, 236, 213, 187, 158, 128, 98, 70, 46, 27, 15, 7, 4, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 4, 4, 5, 4, 4, 3, 3, 2, 1, 1, 1, 3, 8, 16, 29, 47, 69, 95, 126, 161, 200, 241, 281, 316, 340, 351, 349, 335, 315, 295, 281, 275, 279, 290, 305, 320, 330, 332, 323, 304, 275, 238, 197, 156, 117, 83, 55, 34, 20, 10, 5, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 4, 5, 4, 3, 1, 0, 0, 0, 1, 2, 4, 5, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 6, 6, 6, 5, 5, 4, 3, 3, 4, 7, 13, 22, 37, 58, 85, 120, 161, 207, 255, 298, 334, 357, 365, 357, 334, 300, 258, 212, 167, 125, 89, 61, 42, 31, 28, 33, 45, 64, 89, 119, 153, 188, 224, 256, 283, 301, 308, 303, 285, 256, 220, 180, 141, 105, 75, 52, 36, 25, 18, 14, 11, 10, 9, 8, 7, 6, 5, 5, 6, 6, 7, 8, 8, 8, 9, 8, 8, 7, 6, 5, 4, 4, 5, 6, 8, 10, 10, 9, 7, 5, 4, 3, 3, 5, 5, 6, 5, 4, 3, 3, 4, 5, 6, 6, 6, 5, 5, 6, 8, 13, 19, 28, 41, 58, 81, 110, 145, 183, 220, 252, 275, 286, 284, 272, 250, 222, 191, 158, 125, 94, 67, 44, 27, 16, 11, 13, 19, 29, 44, 64, 87, 114, 144, 173, 200, 221, 235, 239, 233, 220, 201, 178, 152, 125, 98, 72, 50, 32, 20, 14, 13, 15, 18, 20, 20, 18, 15, 12, 11, 12, 15, 18, 21, 23, 22, 20, 18, 15, 14, 14, 14, 15, 15, 14, 13, 11, 10, 8, 8, 7, 8, 9, 10, 11, 11, 11, 11, 11, 14, 20, 31, 46, 67, 94, 128, 168, 213, 258, 301, 336, 358, 363, 352, 324, 284, 236, 186, 138, 95, 61, 35, 18, 7, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 4, 5, 6, 5, 4, 2, 1, 0, 0, 1, 2, 2, 3, 2, 2, 2, 2, 3, 5, 6, 8, 8, 8, 6, 4, 1, 0, 0, 0, 2, 5, 10, 16, 25, 38, 58, 85, 122, 165, 213, 261, 304, 336, 354, 355, 339, 309, 267, 220, 172, 126, 87, 57, 34, 19, 11, 8, 11, 19, 33, 56, 86, 124, 168, 214, 258, 295, 322, 334, 332, 315, 286, 247, 203, 158, 115, 79, 51, 31, 18, 10, 6, 4, 3, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 5, 15, 31, 54, 84, 120, 160, 202, 245, 285, 319, 342, 353, 347, 325, 288, 242, 191, 142, 98, 64, 39, 23, 13, 7, 4, 3, 2, 3, 3, 4, 4, 4, 4, 3, 3, 2, 1, 0, 0, 0, 0, 1, 2, 3, 3, 2, 1, 1, 2, 5, 12, 23, 37, 56, 79, 107, 139, 174, 210, 243, 268, 283, 284, 271, 246, 212, 173, 135, 100, 71, 48, 32, 21, 14, 11, 13, 21, 34, 56, 84, 120, 160, 202, 242, 279, 307, 325, 330, 320, 296, 260, 216, 169, 125, 86, 56, 35, 21, 13, 7, 4, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 2, 1, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 3, 4, 6, 8, 9, 9, 8, 5, 3, 0, 0, 0, 2, 9, 21, 39, 66, 102, 149, 205, 268, 332, 392, 440, 471, 479, 464, 427, 371, 305, 236, 172, 117, 75, 45, 26, 15, 9, 5, 4, 3, 4, 5, 5, 6, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 5, 6, 7, 8, 8, 6, 5, 3, 2, 2, 2, 2, 2, 2, 3, 3, 5, 7, 9, 10, 11, 11, 10, 10, 10, 10, 11, 12, 13, 12, 11, 9, 7, 6, 6, 5, 4, 3, 2, 3, 6, 13, 27, 49, 81, 123, 174, 231, 290, 345, 388, 415, 421, 407, 373, 325, 269, 210, 154, 104, 65, 36, 18, 9, 5, 5, 6, 5, 4, 2, 0, 0, 0, 2, 3, 5, 7, 13, 23, 42, 70, 107, 153, 203, 254, 301, 338, 362, 370, 359, 332, 291, 241, 189, 140, 97, 63, 37, 18, 7, 0, 0, 3, 12, 28, 50, 81, 121, 170, 225, 281, 332, 372, 393, 393, 371, 331, 278, 220, 163, 113, 72, 42, 21, 9, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 2, 2, 1, 1, 2, 3, 5, 6, 6, 6, 6, 6, 6, 7, 8, 9, 10, 10, 11, 11, 11, 12, 14, 18, 26, 39, 59, 87, 122, 162, 205, 245, 278, 299, 304, 294, 270, 236, 195, 154, 116, 84, 60, 44, 34, 29, 26, 24, 23, 21, 19, 17, 16, 16, 16, 16, 17, 18, 20, 21, 22, 23, 23, 23, 24, 24, 25, 26, 25, 25, 24, 23, 25, 30, 42, 60, 87, 123, 169, 223, 280, 335, 381, 411, 421, 408, 375, 325, 267, 208, 153, 106, 69, 42, 25, 14, 9, 9, 14, 25, 43, 70, 106, 151, 201, 256, 309, 357, 394, 415, 419, 405, 379, 347, 319, 304, 308, 331, 368, 411, 449, 473, 477, 461, 427, 383, 340, 306, 287, 287, 303, 329, 357, 379, 387, 378, 353, 316, 277, 243, 224, 223, 241, 273, 313, 349, 376, 384, 373, 342, 296, 241, 184, 131, 87, 54, 32, 18, 12, 8, 7, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 9, 10, 11, 12, 12, 12, 11, 11, 10, 11, 12, 13, 13, 13, 13, 16, 23, 38, 63, 99, 144, 197, 254, 308, 355, 389, 405, 399, 373, 329, 272, 210, 150, 98, 58, 30, 14, 6, 6, 11, 22, 42, 71, 114, 170, 236, 309, 380, 441, 483, 499, 488, 451, 394, 325, 252, 183, 123, 76, 42, 21, 11, 9, 15, 29, 51, 83, 125, 175, 231, 285, 332, 367, 385, 385, 369, 340, 303, 266, 235, 218, 217, 233, 261, 296, 327, 346, 347, 328, 291, 242, 186, 133, 87, 52, 29, 15, 9, 8, 9, 10, 10, 9, 8, 6, 5, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 4, 5, 6, 6, 5, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 4, 5, 4, 4, 3, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 4, 4, 4, 4, 4, 3, 3, 2, 2, 2, 3, 6, 13, 25, 45, 74, 116, 167, 226, 286, 340, 380, 400, 396, 370, 326, 270, 210, 154, 106, 68, 40, 23, 12, 8, 7, 9, 14, 24, 40, 65, 102, 150, 208, 273, 337, 392, 431, 448, 442, 414, 371, 324, 282, 257, 254, 274, 313, 361, 407, 441, 453, 441, 404, 349, 283, 214, 150, 96, 57, 32, 20, 19, 25, 38, 57, 85, 124, 174, 236, 302, 366, 419, 450, 457, 438, 399, 350, 303, 268, 252, 259, 284, 322, 361, 392, 405, 397, 366, 319, 260, 199, 141, 92, 55, 30, 16, 10, 8, 10, 11, 12, 12, 10, 9, 7, 5, 4, 4, 4, 6, 8, 11, 14, 16, 18, 19, 19, 18, 16, 15, 14, 13, 12, 12, 12, 11, 11, 10, 9, 9, 9, 9, 9, 9, 9, 8, 6, 4, 2, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 7, 18, 35, 62, 99, 148, 206, 270, 332, 384, 418, 428, 411, 370, 310, 241, 173, 114, 67, 36, 16, 6, 2, 0, 0, 0, 2, 4, 7, 9, 10, 10, 8, 6, 4, 5, 10, 22, 42, 72, 113, 165, 226, 290, 351, 401, 429, 432, 407, 357, 290, 217, 146, 87, 44, 16, 3, 0, 0, 2, 5, 7, 7, 7, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 4, 4, 3, 2, 0, 0, 0, 1, 3, 4, 4, 3, 2, 3, 6, 14, 32, 61, 103, 158, 221, 286, 344, 387, 408, 404, 376, 329, 270, 208, 151, 105, 72, 52, 42, 39, 40, 41, 41, 40, 37, 34, 29, 23, 17, 11, 7, 5, 4, 5, 8, 10, 12, 13, 13, 13, 13, 13, 14, 15, 17, 18, 18, 18, 18, 17, 17, 16, 16, 16, 15, 15, 14, 14, 14, 13, 13, 12, 12, 11, 11, 12, 13, 14, 15, 16, 16, 16, 17, 21, 31, 49, 78, 119, 171, 229, 288, 340, 375, 389, 378, 345, 293, 231, 166, 108, 61, 28, 9, 1, 0, 0, 0, 0, 4, 15, 37, 72, 120, 177, 239, 296, 343, 371, 376, 358, 320, 266, 204, 144, 91, 50, 22, 6, 0, 0, 0, 0, 0, 1, 2, 5, 9, 15, 20, 25, 28, 30, 29, 27, 23, 19, 15, 11, 7, 4, 2, 1, 0, 0, 0, 0, 1, 2, 3, 3, 2, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 2, 0, 0, 0, 0, 1, 2, 4, 5, 6, 7, 7, 8, 8, 7, 7, 6, 5, 3, 2, 1, 3, 9, 22, 43, 75, 117, 168, 223, 277, 321, 349, 356, 339, 302, 250, 190, 132, 82, 44, 18, 5, 0, 0, 0, 3, 5, 7, 8, 8, 8, 6, 4, 2, 0, 0, 0, 0, 0, 0, 3, 13, 33, 67, 116, 181, 255, 330, 396, 441, 458, 443, 398, 331, 253, 177, 110, 60, 27, 9, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 9, 26, 58, 107, 175, 256, 343, 423, 485, 517, 514, 476, 409, 326, 238, 156, 91, 44, 15, 2, 0, 0, 2, 4, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 6, 7, 7, 6, 4, 2, 2, 2, 3, 4, 5, 6, 6, 6, 7, 8, 9, 10, 10, 9, 8, 6, 5, 3, 2, 1, 2, 6, 16, 36, 70, 118, 180, 251, 322, 384, 425, 440, 426, 388, 334, 278, 234, 214, 222, 257, 311, 371, 422, 451, 451, 421, 367, 297, 222, 151, 93, 50, 22, 8, 4, 5, 8, 10, 12, 11, 11, 10, 10, 11, 14, 16, 19, 21, 22, 22, 21, 21, 20, 20, 21, 22, 23, 24, 24, 24, 25, 30, 42, 65, 103, 156, 223, 296, 368, 429, 467, 477, 458, 414, 357, 301, 261, 247, 263, 305, 362, 420, 462, 477, 460, 413, 344, 264, 186, 120, 70, 37, 19, 12, 11, 13, 14, 14, 13, 12, 11, 12, 13, 14, 15, 14, 13, 11, 8, 7, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 3, 2, 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, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 3, 3, 2, 2, 2, 3, 3, 4, 3, 3, 4, 5, 7, 10, 12, 14, 14, 13, 12, 9, 7, 6, 6, 6, 8, 9, 9, 8, 7, 4, 2, 1, 0, 0, 0, 0, 0, 9, 29, 65, 118, 188, 268, 347, 415, 459, 472, 452, 401, 328, 246, 165, 98, 48, 17, 3, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 4, 3, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 3, 13, 36, 76, 137, 217, 309, 400, 476, 522, 529, 495, 425, 333, 235, 146, 76, 31, 7, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 4, 6, 8, 10, 12, 14, 15, 14, 13, 11, 9, 7, 6, 6, 8, 9, 10, 10, 9, 8, 7, 7, 9, 12, 15, 18, 19, 18, 16, 13, 11, 10, 12, 15, 19, 22, 24, 23, 21, 19, 16, 14, 14, 14, 15, 15, 15, 14, 13, 15, 20, 35, 61, 103, 161, 231, 305, 375, 427, 452, 445, 406, 343, 266, 186, 116, 61, 25, 6, 0, 0, 0, 1, 2, 4, 12, 32, 68, 124, 196, 280, 362, 431, 473, 482, 454, 396, 319, 236, 159, 97, 55, 32, 24, 25, 30, 35, 37, 35, 30, 24, 18, 12, 7, 4, 2, 2, 2, 1, 1, 1, 2, 7, 22, 50, 93, 151, 219, 290, 352, 394, 408, 392, 348, 284, 210, 140, 80, 38, 12, 1, 0, 0, 3, 7, 10, 13, 16, 18, 18, 16, 13, 10, 7, 5, 5, 6, 7, 9, 11, 13, 14, 14, 13, 11, 9, 7, 5, 3, 1, 0, 0, 6, 25, 61, 117, 191, 276, 362, 435, 483, 497, 474, 417, 336, 245, 158, 86, 36, 8, 0, 0, 3, 8, 11, 12, 12, 12, 12, 12, 11, 11, 9, 8, 6, 4, 2, 3, 9, 24, 53, 101, 170, 255, 350, 439, 510, 546, 541, 494, 417, 326, 244, 190, 175, 201, 260, 335, 404, 450, 463, 438, 382, 306, 223, 146, 84, 40, 14, 3, 0, 3, 6, 9, 10, 10, 10, 11, 11, 12, 12, 12, 11, 9, 7, 5, 3, 2, 2, 3, 4, 6, 8, 10, 12, 14, 16, 17, 18, 17, 16, 14, 14, 14, 15, 17, 18, 19, 19, 18, 17, 16, 15, 15, 16, 17, 18, 20, 21, 21, 21, 20, 19, 18, 16, 14, 12, 11, 10, 10, 12, 14, 16, 18, 18, 16, 13, 10, 8, 8, 9, 12, 15, 17, 18, 18, 16, 14, 11, 9, 7, 5, 5, 5, 5, 6, 8, 9, 9, 9, 8, 7, 5, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 5, 5, 5, 4, 3, 3, 3, 3, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 5, 5, 3, 1, 0, 0, 0, 1, 4, 7, 9, 11, 12, 11, 10, 8, 7, 6, 6, 7, 9, 9, 9, 7, 4, 2, 3, 12, 33, 69, 122, 190, 267, 344, 409, 450, 459, 433, 376, 299, 214, 135, 72, 30, 8, 2, 4, 9, 12, 13, 12, 13, 21, 42, 80, 140, 219, 311, 405, 486, 538, 551, 520, 451, 356, 252, 156, 81, 32, 6, 0, 0, 3, 6, 8, 8, 9, 9, 10, 11, 12, 12, 13, 14, 15, 16, 16, 14, 12, 9, 5, 3, 1, 0, 0, 2, 3, 5, 6, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 3, 16, 43, 87, 149, 225, 304, 375, 424, 443, 426, 377, 305, 222, 143, 78, 33, 8, 0, 0, 1, 3, 4, 5, 4, 4, 5, 5, 5, 4, 4, 5, 6, 8, 10, 12, 13, 15, 15, 15, 15, 14, 12, 10, 9, 8, 8, 8, 8, 9, 8, 7, 7, 6, 7, 8, 10, 10, 9, 7, 5, 8, 22, 53, 105, 179, 269, 365, 451, 513, 538, 519, 459, 372, 279, 202, 161, 169, 224, 316, 421, 514, 573, 584, 544, 462, 355, 243, 145, 71, 25, 4, 0, 3, 8, 10, 9, 5, 4, 12, 34, 75, 139, 223, 320, 417, 497, 546, 552, 513, 435, 332, 225, 130, 60, 18, 0, 0, 1, 6, 9, 11, 11, 12, 13, 13, 13, 12, 12, 12, 13, 14, 16, 18, 18, 17, 15, 13, 11, 10, 11, 12, 13, 15, 16, 17, 18, 18, 17, 17, 16, 16, 14, 12, 10, 7, 4, 3, 2, 2, 3, 3, 3, 2, 0, 0, 0, 0, 2, 3, 4, 4, 3, 1, 0, 0, 1, 2, 5, 6, 7, 6, 4, 3, 1, 0, 0, 1, 2, 3, 5, 8, 11, 14, 16, 18, 18, 17, 16, 15, 15, 17, 20, 23, 24, 25, 24, 21, 19, 17, 15, 15, 15, 15, 15, 14, 12, 8, 4, 3, 13, 41, 98, 190, 317, 471, 633, 775, 870, 898, 852, 738, 579, 405, 246, 122, 43, 4, 0, 0, 11, 20, 26, 30, 31, 32, 30, 27, 21, 16, 12, 10, 9, 7, 3, 0, 0, 13, 52, 123, 227, 354, 488, 606, 686, 712, 677, 588, 463, 324, 197, 97, 33, 2, 0, 0, 8, 12, 12, 9, 6, 3, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 3, 4, 5, 5, 4, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 5, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 5, 6, 6, 5, 4, 4, 4, 4, 3, 2, 1, 1, 1, 2, 5, 7, 9, 9, 8, 6, 3, 1, 0, 0, 1, 3, 6, 9, 11, 11, 11, 9, 9, 9, 10, 12, 13, 14, 14, 12, 9, 6, 3, 2, 1, 1, 1, 1, 1, 1, 2, 3, 5, 7, 8, 10, 11, 12, 13, 14, 15, 15, 15, 15, 13, 11, 8, 5, 3, 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, 1, 2, 3, 4, 5, 5, 5, 4, 2, 1, 0, 1, 2, 3, 2, 0, 0, 1, 18, 57, 121, 211, 316, 421, 507, 556, 559, 515, 431, 326, 218, 125, 58, 17, 0, 0, 0, 2, 3, 3, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 7, 30, 73, 137, 220, 310, 394, 456, 481, 464, 406, 320, 223, 132, 62, 19, 0, 0, 0, 4, 6, 6, 6, 6, 8, 9, 8, 7, 4, 2, 0, 0, 0, 0, 1, 2, 3, 4, 4, 3, 2, 1, 0, 0, 0, 0, 1, 2, 3, 3, 4, 5, 5, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 6, 7, 8, 7, 7, 6, 5, 3, 2, 0, 0, 0, 1, 3, 5, 7, 7, 5, 2, 2, 5, 12, 23, 35, 44, 47, 43, 34, 23, 12, 4, 0, 0, 2, 4, 6, 6, 4, 0, 0, 5, 31, 83, 166, 275, 399, 518, 608, 650, 635, 564, 454, 329, 218, 145, 126, 161, 237, 332, 418, 474, 484, 447, 372, 278, 183, 102, 45, 12, 0, 0, 5, 10, 12, 13, 12, 10, 9, 9, 8, 9, 9, 10, 11, 12, 13, 13, 13, 13, 12, 11, 10, 8, 7, 5, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 1, 1, 3, 4, 3, 1, 0, 1, 15, 47, 101, 177, 265, 351, 419, 452, 444, 395, 316, 225, 137, 68, 23, 1, 0, 0, 7, 13, 18, 23, 27, 29, 29, 27, 23, 18, 13, 10, 9, 9, 10, 11, 11, 10, 9, 7, 5, 3, 3, 4, 6, 7, 9, 9, 8, 7, 5, 3, 2, 2, 3, 5, 6, 4, 1, 0, 3, 24, 69, 143, 244, 359, 469, 553, 591, 574, 504, 397, 276, 164, 78, 24, 0, 0, 0, 4, 4, 2, 0, 0, 0, 2, 4, 5, 4, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 1, 2, 4, 6, 8, 9, 9, 10, 10, 11, 13, 16, 18, 21, 23, 24, 25, 25, 25, 23, 20, 16, 14, 12, 13, 16, 21, 25, 29, 29, 26, 21, 15, 10, 6, 4, 3, 1, 0, 2, 14, 45, 101, 184, 290, 402, 501, 564, 577, 534, 443, 326, 207, 107, 39, 4, 0, 0, 5, 8, 8, 7, 7, 8, 11, 12, 13, 12, 10, 9, 9, 10, 11, 11, 11, 10, 9, 7, 6, 4, 3, 2, 2, 2, 3, 3, 4, 5, 6, 7, 6, 5, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 3, 2, 1, 1, 1, 1, 1, 2, 2, 3, 4, 5, 7, 10, 12, 12, 10, 7, 2, 0, 0, 0, 2, 3, 1, 0, 0, 18, 63, 139, 243, 362, 473, 553, 581, 552, 471, 357, 236, 129, 53, 11, 0, 0, 3, 6, 5, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 8, 8, 7, 5, 3, 2, 2, 3, 5, 7, 11, 13, 15, 15, 14, 11, 7, 4, 1, 0, 0, 1, 2, 3, 3, 1, 0, 0, 0, 2, 3, 3, 0, 0, 4, 30, 86, 179, 304, 444, 576, 671, 705, 669, 569, 430, 280, 151, 59, 9, 0, 0, 6, 12, 12, 11, 9, 9, 11, 11, 10, 8, 4, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 5, 9, 13, 17, 19, 18, 16, 12, 7, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 6, 6, 5, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 3, 4, 6, 7, 7, 6, 5, 4, 2, 1, 0, 0, 0, 0, 0, 1, 3, 5, 8, 11, 12, 12, 11, 9, 7, 6, 5, 6, 7, 9, 10, 11, 12, 13, 15, 17, 19, 23, 26, 28, 29, 27, 24, 20, 17, 16, 17, 18, 16, 12, 7, 10, 33, 88, 184, 317, 471, 620, 731, 777, 744, 638, 484, 321, 192, 128, 144, 232, 366, 507, 618, 670, 651, 568, 442, 302, 176, 82, 25, 0, 0, 0, 5, 8, 7, 3, 0, 0, 3, 32, 92, 186, 310, 445, 565, 640, 652, 597, 486, 346, 209, 99, 29, 0, 0, 1, 8, 10, 7, 3, 2, 5, 9, 12, 14, 12, 9, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 3, 5, 6, 7, 8, 7, 5, 3, 1, 0, 0, 0, 0, 2, 5, 7, 10, 12, 13, 12, 10, 8, 5, 2, 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, 1, 2, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 5, 5, 5, 4, 3, 2, 2, 3, 5, 7, 9, 10, 10, 8, 6, 5, 6, 7, 7, 5, 1, 0, 5, 33, 91, 185, 306, 437, 553, 626, 636, 577, 462, 320, 187, 102, 89, 157, 290, 456, 614, 723, 754, 702, 581, 422, 261, 129, 43, 1, 0, 1, 10, 14, 13, 10, 8, 10, 14, 17, 18, 15, 11, 6, 1, 0, 0, 3, 7, 11, 14, 15, 14, 12, 8, 5, 3, 3, 4, 7, 10, 13, 15, 16, 16, 16, 16, 15, 14, 14, 14, 14, 14, 13, 10, 6, 2, 0, 0, 3, 7, 7, 3, 0, 0, 23, 82, 184, 322, 478, 619, 713, 735, 677, 553, 394, 242, 136, 101, 144, 249, 385, 510, 592, 607, 553, 446, 314, 187, 88, 26, 0, 0, 2, 9, 12, 11, 9, 7, 7, 8, 8, 7, 6, 4, 3, 2, 1, 0, 0, 0, 1, 4, 7, 9, 9, 6, 2, 0, 0, 0, 4, 6, 3, 0, 0, 15, 65, 158, 291, 446, 596, 704, 746, 709, 602, 451, 291, 154, 59, 9, 0, 0, 6, 10, 9, 6, 3, 4, 6, 8, 9, 8, 6, 4, 3, 2, 2, 2, 2, 1, 2, 3, 5, 6, 8, 9, 9, 10, 11, 12, 14, 15, 16, 15, 13, 10, 7, 3, 1, 0, 0, 0, 1, 2, 3, 4, 4, 4, 4, 4, 4, 4, 6, 7, 9, 10, 11, 11, 11, 10, 10, 9, 9, 9, 10, 11, 13, 15, 17, 17, 16, 13, 8, 4, 2, 3, 5, 6, 4, 0, 0, 11, 51, 127, 238, 373, 506, 609, 656, 634, 549, 420, 277, 150, 58, 7, 0, 0, 7, 13, 10, 1, 0, 2, 37, 107, 215, 349, 488, 605, 671, 669, 596, 467, 312, 170, 78, 62, 126, 255, 417, 569, 670, 697, 642, 523, 371, 222, 104, 30, 0, 0, 4, 13, 17, 16, 15, 16, 21, 27, 32, 34, 32, 27, 21, 17, 15, 15, 14, 10, 2, 0, 0, 32, 103, 218, 367, 526, 662, 742, 747, 672, 538, 375, 221, 101, 27, 0, 0, 3, 11, 13, 10, 7, 6, 7, 11, 13, 12, 8, 3, 0, 0, 0, 4, 7, 6, 0, 0, 5, 44, 125, 248, 398, 546, 656, 700, 664, 556, 406, 250, 120, 36, 0, 0, 1, 10, 12, 7, 1, 0, 0, 0, 2, 3, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 4, 8, 11, 13, 14, 12, 8, 5, 1, 0, 0, 1, 4, 7, 11, 13, 15, 14, 12, 10, 7, 4, 3, 4, 5, 7, 9, 9, 9, 8, 7, 6, 6, 6, 6, 6, 6, 7, 8, 9, 12, 14, 16, 16, 15, 12, 10, 10, 11, 15, 19, 21, 21, 18, 12, 6, 1, 1, 4, 8, 10, 5, 0, 0, 16, 69, 166, 301, 455, 594, 685, 703, 643, 520, 364, 213, 95, 24, 0, 0, 4, 13, 16, 14, 11, 11, 13, 16, 18, 17, 14, 10, 6, 4, 5, 9, 13, 13, 8, 0, 0, 14, 71, 177, 331, 513, 690, 822, 874, 831, 698, 506, 301, 129, 31, 25, 108, 252, 418, 562, 649, 659, 595, 475, 331, 194, 89, 24, 0, 0, 1, 10, 13, 10, 1, 0, 0, 20, 77, 172, 300, 441, 564, 640, 646, 580, 459, 313, 176, 73, 14, 0, 0, 7, 15, 17, 13, 9, 6, 5, 5, 4, 3, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 3, 5, 6, 8, 9, 9, 7, 5, 3, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 3, 4, 5, 5, 5, 4, 4, 3, 4, 4, 5, 5, 6, 6, 6, 6, 7, 9, 10, 11, 12, 12, 13, 13, 14, 16, 18, 20, 22, 23, 23, 23, 22, 21, 20, 20, 22, 24, 26, 27, 26, 22, 16, 11, 9, 10, 13, 15, 12, 3, 0, 2, 38, 120, 251, 418, 595, 743, 825, 817, 718, 550, 356, 186, 85, 77, 162, 316, 494, 645, 727, 716, 615, 451, 273, 132, 72, 116, 258, 465, 683, 856, 937, 904, 764, 555, 329, 145, 50, 63, 177, 355, 546, 696, 765, 738, 625, 462, 290, 145, 49, 1, 0, 0, 12, 19, 19, 14, 6, 0, 0, 7, 49, 130, 249, 393, 533, 637, 677, 641, 536, 391, 241, 116, 35, 0, 0, 1, 11, 14, 12, 8, 6, 7, 9, 11, 10, 7, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 4, 7, 10, 13, 13, 12, 8, 3, 0, 0, 0, 4, 9, 10, 4, 0, 0, 18, 78, 182, 318, 462, 579, 638, 622, 536, 403, 257, 131, 45, 2, 0, 0, 7, 11, 8, 3, 1, 3, 7, 12, 13, 12, 9, 5, 2, 0, 0, 0, 2, 4, 6, 9, 10, 10, 7, 2, 0, 0, 0, 4, 8, 8, 2, 0, 0, 30, 105, 225, 379, 535, 657, 712, 686, 584, 434, 273, 137, 45, 1, 0, 0, 10, 13, 10, 5, 3, 4, 9, 14, 16, 15, 11, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 7, 9, 10, 10, 9, 7, 4, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 6, 8, 10, 11, 11, 10, 8, 6, 5, 4, 4, 5, 5, 6, 7, 9, 11, 14, 18, 22, 26, 27, 26, 21, 15, 10, 8, 10, 13, 15, 11, 1, 0, 2, 45, 135, 269, 429, 581, 687, 718, 664, 540, 380, 222, 98, 22, 0, 0, 3, 13, 16, 12, 3, 0, 0, 7, 47, 118, 214, 319, 408, 458, 453, 394, 297, 189, 95, 31, 0, 0, 0, 7, 9, 6, 1, 0, 0, 0, 2, 5, 6, 7, 6, 4, 3, 1, 1, 1, 3, 4, 6, 8, 9, 9, 10, 10, 10, 10, 9, 8, 8, 8, 9, 9, 9, 7, 5, 3, 2, 2, 4, 7, 11, 14, 16, 16, 16, 14, 12, 11, 10, 10, 10, 10, 11, 12, 14, 15, 15, 13, 10, 7, 5, 8, 13, 17, 16, 8, 0, 0, 19, 88, 209, 372, 548, 698, 783, 778, 684, 527, 347, 184, 67, 5, 0, 0, 10, 20, 20, 10, 0, 0, 4, 48, 133, 257, 404, 547, 650, 684, 635, 512, 346, 183, 70, 44, 116, 271, 469, 657, 783, 812, 735, 573, 369, 177, 48, 12, 76, 219, 398, 563, 670, 693, 629, 501, 344, 196, 84, 19, 0, 0, 7, 13, 13, 8, 3, 2, 4, 9, 13, 16, 16, 14, 10, 7, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 6, 6, 6, 5, 2, 0, 0, 0, 0, 6, 10, 8, 1, 0, 0, 32, 105, 217, 353, 481, 570, 592, 542, 433, 296, 165, 66, 10, 0, 0, 6, 11, 9, 4, 0, 0, 0, 0, 3, 3, 3, 1, 0, 0, 0, 2, 5, 9, 13, 15, 15, 14, 12, 9, 7, 6, 5, 6, 7, 8, 9, 9, 10, 10, 9, 8, 6, 3, 1, 0, 0, 0, 0, 1, 2, 3, 1, 0, 0, 0, 0, 4, 8, 8, 2, 0, 0, 25, 91, 197, 333, 471, 579, 626, 598, 504, 368, 226, 109, 34, 0, 0, 0, 4, 5, 5, 7, 10, 9, 2, 0, 0, 38, 134, 290, 487, 685, 832, 888, 834, 687, 486, 285, 125, 29, 0, 0, 6, 16, 16, 8, 1, 0, 1, 6, 10, 10, 7, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 2, 2, 1, 1, 1, 3, 6, 9, 11, 11, 10, 7, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 5, 4, 3, 1, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 1, 3, 5, 6, 6, 6, 5, 4, 3, 3, 4, 5, 6, 8, 10, 12, 14, 15, 16, 17, 16, 16, 14, 13, 11, 10, 9, 10, 10, 11, 12, 11, 8, 4, 1, 0, 2, 8, 15, 16, 10, 0, 0, 7, 60, 160, 297, 448, 576, 646, 638, 554, 418, 267, 135, 45, 0, 0, 0, 10, 15, 13, 9, 8, 11, 16, 19, 19, 15, 8, 3, 2, 7, 13, 17, 12, 1, 0, 5, 57, 161, 313, 493, 663, 782, 816, 751, 601, 403, 206, 61, 3, 46, 176, 358, 544, 685, 745, 706, 579, 395, 204, 56, 0, 40, 180, 381, 587, 741, 801, 755, 621, 438, 256, 112, 26, 0, 0, 7, 17, 16, 9, 1, 0, 0, 0, 3, 5, 6, 6, 7, 7, 7, 8, 8, 9, 8, 7, 3, 0, 0, 0, 3, 10, 13, 9, 0, 0, 5, 54, 151, 290, 448, 587, 671, 674, 596, 457, 297, 153, 52, 1, 0, 0, 10, 14, 10, 3, 0, 1, 6, 13, 16, 16, 13, 8, 4, 1, 1, 3, 5, 8, 11, 14, 16, 17, 16, 15, 14, 13, 13, 15, 18, 21, 24, 26, 26, 24, 21, 18, 14, 12, 11, 11, 12, 14, 17, 21, 25, 28, 27, 21, 13, 5, 1, 3, 9, 13, 11, 1, 0, 0, 51, 160, 327, 527, 718, 849, 884, 810, 649, 445, 249, 101, 16, 0, 0, 10, 21, 21, 15, 9, 8, 10, 14, 15, 13, 10, 6, 4, 4, 5, 8, 9, 8, 6, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 9, 10, 10, 9, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 9, 11, 12, 11, 10, 8, 8, 8, 9, 12, 14, 17, 19, 21, 22, 22, 20, 17, 12, 5, 0, 0, 0, 3, 7, 7, 2, 0, 0, 21, 78, 172, 290, 409, 498, 533, 503, 417, 299, 179, 83, 23, 0, 0, 0, 7, 12, 16, 18, 17, 11, 0, 0, 13, 72, 183, 341, 522, 686, 788, 797, 704, 529, 321, 137, 31, 35, 150, 344, 563, 745, 841, 824, 700, 500, 279, 94, 0, 4, 119, 306, 513, 680, 763, 740, 624, 452, 272, 124, 32, 0, 0, 6, 17, 19, 13, 6, 2, 3, 5, 8, 8, 8, 7, 7, 9, 11, 13, 15, 17, 19, 22, 24, 24, 20, 14, 6, 2, 3, 8, 15, 15, 6, 0, 0, 31, 122, 274, 469, 668, 823, 888, 842, 693, 478, 254, 77, 0, 9, 119, 283, 449, 569, 612, 570, 460, 318, 180, 75, 15, 0, 0, 7, 12, 10, 4, 0, 0, 0, 0, 2, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 0, 2, 4, 6, 7, 7, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 6, 5, 3, 1, 0, 0, 0, 0, 1, 2, 2, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 5, 2, 0, 0, 0, 1, 8, 12, 9, 0, 0, 0, 45, 138, 276, 437, 584, 677, 690, 618, 483, 321, 172, 64, 6, 0, 0, 9, 15, 13, 8, 4, 6, 11, 17, 23, 24, 22, 15, 8, 1, 0, 1, 8, 14, 14, 5, 0, 0, 36, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 129, 279, 469, 662, 810, 872, 827, 684, 477, 259, 83, 0, 0, 99, 261, 438, 581, 653, 637, 544, 402, 251, 123, 38, 0, 0, 0, 11, 20, 21, 13, 0, 0, 0, 44, 149, 309, 502, 685, 809, 839, 764, 605, 407, 221, 83, 9, 0, 0, 11, 18, 15, 5, 0, 0, 0, 1, 4, 4, 3, 1, 0, 2, 4, 6, 7, 6, 4, 2, 0, 0, 0, 1, 3, 5, 7, 8, 8, 8, 9, 10, 12, 12, 10, 5, 1, 0, 2, 9, 15, 14, 5, 0, 0, 30, 119, 262, 440, 615, 740, 779, 720, 580, 399, 223, 90, 14, 0, 0, 9, 17, 15, 7, 0, 0, 1, 5, 7, 5, 1, 0, 0, 3, 9, 12, 8, 0, 0, 12, 74, 188, 344, 513, 652, 723, 703, 598, 438, 266, 123, 32, 0, 0, 4, 16, 17, 11, 3, 0, 0, 4, 8, 10, 9, 7, 6, 5, 5, 5, 5, 4, 5, 7, 11, 14, 14, 11, 5, 0, 0, 7, 16, 20, 14, 0, 0, 9, 84, 230, 439, 677, 889, 1018, 1022, 898, 673, 407, 169, 16, 0, 66, 237, 442, 621, 725, 730, 640, 486, 312, 160, 55, 2, 0, 0, 7, 16, 19, 15, 4, 0, 0, 9, 79, 206, 380, 567, 719, 792, 763, 640, 459, 270, 118, 25, 0, 0, 7, 17, 16, 8, 0, 0, 0, 2, 6, 7, 5, 0, 0, 0, 2, 9, 13, 8, 0, 0, 6, 61, 166, 312, 469, 598, 661, 638, 536, 385, 227, 100, 21, 0, 0, 5, 14, 14, 7, 0, 0, 0, 0, 2, 4, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 6, 6, 6, 5, 4, 3, 2, 2, 1, 2, 3, 4, 6, 8, 9, 9, 9, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 2, 0, 0, 0, 0, 5, 12, 13, 5, 0, 0, 21, 98, 225, 388, 549, 667, 706, 653, 526, 360, 199, 78, 11, 0, 0, 8, 15, 13, 7, 2, 3, 8, 14, 18, 18, 15, 10, 5, 2, 0, 0, 0, 0, 1, 2, 4, 3, 1, 0, 0, 0, 2, 9, 14, 10, 0, 0, 1, 53, 159, 314, 490, 644, 734, 732, 638, 480, 303, 149, 45, 0, 0, 1, 13, 16, 11, 2, 0, 0, 0, 1, 3, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 4, 4, 4, 3, 1, 0, 0, 0, 2, 4, 6, 7, 8, 9, 9, 10, 10, 7, 3, 0, 0, 0, 4, 12, 16, 11, 0, 0, 9, 75, 200, 377, 574, 743, 838, 827, 708, 510, 287, 98, 0, 0, 102, 280, 476, 636, 714, 692, 584, 422, 254, 117, 31, 0, 0, 5, 14, 14, 7, 0, 0, 0, 0, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 3, 4, 5, 7, 8, 9, 9, 9, 8, 6, 4, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 4, 7, 10, 11, 11, 10, 8, 6, 4, 3, 4, 5, 6, 7, 9, 11, 13, 15, 16, 17, 16, 12, 7, 1, 0, 0, 0, 7, 12, 10, 1, 0, 0, 33, 111, 228, 367, 492, 570, 576, 508, 387, 248, 124, 39, 0, 0, 0, 11, 14, 9, 2, 0, 0, 2, 7, 9, 7, 2, 0, 0, 0, 10, 18, 18, 6, 0, 0, 38, 148, 324, 540, 748, 890, 924, 839, 660, 439, 233, 83, 4, 0, 0, 15, 23, 19, 8, 0, 0, 0, 0, 3, 4, 4, 3, 2, 2, 2, 2, 2, 3, 4, 6, 8, 9, 7, 3, 0, 0, 4, 10, 13, 10, 0, 0, 1, 48, 142, 278, 434, 572, 652, 652, 569, 430, 273, 136, 43, 0, 0, 0, 8, 10, 8, 8, 11, 13, 10, 0, 0, 4, 62, 177, 341, 526, 684, 771, 760, 655, 486, 302, 144, 40, 0, 0, 0, 15, 24, 23, 13, 0, 0, 0, 41, 137, 284, 464, 637, 759, 792, 720, 559, 349, 148, 12, 0, 62, 243, 475, 697, 847, 887, 808, 637, 426, 228, 84, 7, 0, 0, 16, 25, 23, 15, 8, 7, 9, 13, 15, 14, 11, 9, 8, 9, 11, 12, 13, 13, 12, 11, 9, 7, 6, 4, 3, 2, 3, 5, 7, 9, 10, 11, 11, 9, 7, 5, 3, 1, 0, 0, 0, 2, 4, 4, 2, 0, 0, 0, 1, 9, 14, 11, 0, 0, 0, 48, 150, 300, 472, 623, 711, 709, 616, 460, 287, 138, 39, 0, 0, 2, 14, 16, 10, 1, 0, 0, 0, 2, 3, 3, 2, 2, 3, 6, 9, 11, 10, 7, 4, 1, 0, 0, 0, 1, 2, 4, 5, 6, 7, 8, 9, 9, 9, 8, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 7, 10, 13, 14, 14, 13, 10, 7, 5, 4, 4, 6, 7, 9, 9, 9, 7, 5, 3, 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, 2, 3, 4, 5, 5, 5, 4, 3, 2, 3, 4, 6, 9, 12, 14, 16, 16, 16, 16, 16, 17, 18, 18, 18, 17, 15, 13, 11, 8, 6, 5, 5, 6, 7, 8, 8, 6, 4, 2, 3, 8, 15, 20, 18, 8, 0, 0, 24, 101, 226, 382, 535, 644, 676, 622, 498, 339, 187, 74, 10, 0, 0, 5, 14, 19, 22, 23, 19, 7, 0, 0, 36, 139, 310, 527, 746, 910, 972, 909, 736, 497, 253, 66, 0, 2, 123, 304, 490, 629, 684, 644, 525, 365, 207, 85, 16, 0, 0, 8, 15, 12, 5, 0, 0, 0, 2, 6, 7, 5, 2, 0, 0, 0, 2, 3, 4, 3, 3, 2, 1, 1, 2, 4, 5, 6, 7, 8, 9, 10, 11, 11, 10, 8, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 1, 2, 3, 4, 5, 4, 3, 1, 0, 0, 0, 1, 2, 3, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 4, 7, 10, 13, 15, 16, 15, 14, 11, 8, 6, 5, 5, 6, 8, 10, 13, 15, 16, 14, 10, 3, 0, 0, 0, 7, 14, 14, 5, 0, 0, 31, 121, 267, 448, 623, 746, 780, 715, 570, 386, 211, 81, 10, 0, 0, 10, 17, 13, 5, 0, 0, 0, 4, 9, 11, 10, 8, 5, 3, 2, 1, 1, 1, 1, 2, 2, 2, 3, 4, 5, 6, 8, 10, 13, 17, 21, 26, 30, 31, 28, 21, 13, 8, 8, 14, 22, 25, 16, 0, 0, 6, 78, 215, 409, 621, 801, 898, 883, 760, 565, 352, 171, 52, 0, 0, 2, 13, 14, 10, 8, 10, 14, 11, 0, 0, 3, 68, 203, 400, 628, 832, 955, 961, 847, 647, 417, 212, 69, 0, 0, 0, 17, 29, 27, 14, 0, 0, 0, 53, 162, 319, 498, 656, 750, 751, 658, 498, 316, 156, 48, 0, 0, 1, 14, 19, 16, 9, 5, 6, 10, 12, 12, 9, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 6, 9, 14, 18, 22, 24, 23, 20, 15, 10, 7, 5, 6, 8, 12, 13, 12, 8, 3, 0, 1, 9, 19, 23, 16, 0, 0, 1, 68, 202, 396, 615, 808, 920, 919, 804, 609, 387, 193, 61, 0, 0, 1, 16, 21, 15, 7, 3, 7, 15, 23, 25, 20, 11, 2, 0, 0, 8, 16, 17, 7, 0, 0, 23, 103, 237, 405, 570, 688, 723, 665, 531, 359, 196, 74, 7, 0, 0, 11, 19, 17, 10, 3, 0, 0, 2, 4, 5, 5, 5, 6, 8, 10, 11, 12, 12, 12, 11, 10, 8, 5, 3, 1, 0, 0, 1, 2, 4, 5, 6, 7, 7, 8, 7, 7, 7, 7, 7, 7, 9, 11, 14, 17, 19, 19, 15, 8, 1, 0, 0, 4, 10, 11, 4, 0, 0, 22, 94, 212, 361, 507, 612, 644, 594, 475, 323, 177, 68, 8, 0, 0, 8, 14, 12, 5, 1, 2, 8, 15, 21, 22, 20, 15, 9, 4, 1, 1, 2, 3, 5, 5, 3, 0, 0, 0, 0, 7, 15, 16, 7, 0, 0, 20, 100, 236, 411, 590, 726, 779, 734, 603, 425, 247, 106, 22, 0, 0, 7, 17, 16, 9, 0, 0, 0, 0, 3, 5, 5, 4, 3, 3, 4, 6, 10, 14, 19, 24, 26, 24, 18, 9, 1, 0, 1, 10, 19, 21, 10, 0, 0, 26, 124, 290, 505, 724, 890, 956, 902, 744, 527, 309, 136, 32, 0, 0, 3, 13, 15, 13, 11, 9, 4, 0, 0, 10, 71, 186, 347, 521, 666, 738, 716, 606, 440, 264, 119, 29, 0, 0, 5, 16, 17, 10, 1, 0, 0, 1, 5, 8, 9, 7, 6, 5, 5, 6, 7, 9, 11, 13, 14, 13, 11, 9, 9, 12, 19, 26, 28, 22, 6, 0, 1, 52, 161, 328, 530, 728, 870, 916, 845, 671, 437, 207, 49, 9, 105, 313, 576, 822, 979, 1008, 905, 705, 465, 246, 88, 4, 0, 0, 18, 32, 28, 12, 0, 0, 7, 75, 192, 347, 509, 639, 700, 673, 566, 409, 245, 111, 27, 0, 0, 4, 13, 14, 7, 0, 0, 0, 0, 2, 4, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 4, 7, 9, 10, 11, 10, 8, 6, 4, 2, 1, 0, 0, 1, 2, 4, 5, 4, 2, 0, 0, 0, 5, 12, 14, 9, 0, 0, 10, 71, 184, 341, 512, 657, 734, 722, 624, 468, 295, 146, 46, 0, 0, 1, 12, 16, 11, 4, 0, 0, 0, 2, 4, 5, 6, 6, 7, 8, 9, 9, 8, 7, 7, 7, 9, 11, 13, 14, 14, 13, 11, 9, 7, 5, 5, 5, 6, 7, 8, 9, 9, 10, 10, 10, 9, 7, 5, 3, 2, 2, 1, 1, 1, 0, 0, 1, 3, 6, 9, 12, 14, 12, 8, 4, 1, 2, 7, 13, 15, 9, 0, 0, 10, 68, 178, 330, 498, 643, 725, 720, 631, 481, 311, 162, 57, 4, 0, 0, 7, 14, 17, 18, 17, 12, 3, 0, 2, 46, 145, 300, 493, 685, 828, 878, 816, 652, 428, 206, 52, 14, 107, 308, 565, 807, 969, 1007, 913, 712, 459, 217, 44, 0, 41, 207, 437, 672, 851, 929, 887, 742, 537, 326, 154, 45, 0, 0, 1, 10, 14, 15, 17, 18, 13, 0, 0, 3, 70, 216, 441, 714, 980, 1169, 1227, 1131, 902, 599, 300, 80, 0, 44, 210, 431, 640, 774, 801, 720, 562, 372, 200, 76, 10, 0, 0, 11, 16, 12, 4, 0, 0, 0, 1, 4, 4, 3, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 3, 4, 5, 6, 8, 10, 12, 14, 15, 15, 15, 14, 12, 10, 8, 7, 5, 4, 2, 1, 0, 0, 0, 1, 4, 8, 12, 15, 17, 16, 14, 10, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 4, 4, 4, 3, 3, 3, 4, 6, 7, 9, 11, 12, 13, 13, 13, 12, 11, 10, 9, 9, 10, 13, 17, 21, 25, 28, 29, 26, 21, 14, 9, 6, 9, 16, 23, 25, 18, 4, 0, 8, 63, 174, 336, 525, 701, 818, 839, 753, 580, 366, 172, 56, 52, 160, 349, 559, 728, 809, 780, 656, 476, 289, 136, 39, 0, 0, 4, 14, 15, 9, 1, 0, 0, 0, 3, 4, 4, 2, 0, 0, 0, 0, 0, 0, 1, 1, 3, 5, 6, 7, 8, 7, 6, 5, 5, 7, 9, 13, 18, 22, 26, 29, 29, 28, 24, 19, 15, 15, 18, 24, 28, 25, 13, 0, 0, 26, 113, 265, 469, 692, 882, 990, 983, 858, 643, 391, 164, 18, 0, 68, 244, 466, 674, 815, 856, 789, 638, 445, 259, 114, 27, 0, 0, 4, 17, 22, 17, 4, 0, 0, 17, 90, 213, 379, 556, 704, 783, 769, 666, 501, 319, 160, 52, 0, 0, 0, 11, 15, 10, 4, 0, 2, 6, 9, 9, 6, 3, 3, 9, 15, 18, 11, 0, 0, 11, 79, 205, 381, 575, 744, 840, 837, 735, 562, 365, 189, 66, 3, 0, 0, 11, 16, 12, 3, 0, 0, 0, 1, 4, 4, 3, 1, 0, 0, 1, 2, 3, 3, 2, 1, 0, 0, 0, 0, 3, 7, 11, 14, 15, 14, 11, 8, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 5, 8, 11, 13, 14, 14, 12, 9, 6, 4, 3, 3, 5, 8, 11, 14, 16, 18, 19, 18, 17, 15, 12, 10, 8, 7, 7, 9, 11, 15, 18, 20, 21, 20, 16, 12, 8, 5, 7, 13, 20, 23, 19, 7, 0, 0, 36, 127, 272, 455, 640, 783, 847, 812, 687, 507, 316, 155, 49, 0, 0, 1, 13, 18, 17, 13, 12, 15, 20, 22, 21, 18, 16, 17, 21, 25, 24, 14, 0, 0, 22, 100, 239, 432, 651, 849, 976, 994, 893, 695, 451, 227, 83, 58, 154, 340, 559, 746, 847, 839, 727, 547, 349, 178, 62, 4, 0, 0, 11, 15, 10, 2, 0, 0, 0, 2, 4, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 8, 11, 14, 16, 17, 16, 15, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 12, 8, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 2, 2, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 4, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 9, 13, 17, 18, 18, 15, 11, 7, 4, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 6, 8, 10, 10, 10, 8, 6, 5, 3, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 3, 5, 6, 7, 8, 9, 10, 10, 10, 10, 10, 11, 12, 14, 15, 16, 16, 16, 17, 18, 20, 22, 25, 27, 27, 25, 22, 20, 20, 22, 24, 21, 11, 0, 0, 18, 86, 209, 380, 573, 748, 862, 883, 806, 651, 456, 267, 120, 30, 0, 0, 5, 15, 17, 14, 9, 8, 9, 13, 15, 15, 13, 11, 10, 11, 13, 17, 20, 23, 24, 23, 21, 17, 14, 11, 10, 12, 16, 21, 25, 28, 29, 29, 28, 27, 26, 25, 24, 23, 22, 22, 25, 26, 25, 16, 4, 0, 6, 58, 163, 324, 524, 728, 892, 975, 953, 829, 633, 413, 225, 119, 121, 227, 409, 616, 793, 890, 883, 771, 585, 375, 197, 99, 107, 221, 409, 621, 799, 898, 889, 776, 590, 381, 205, 111, 123, 238, 424, 630, 800, 888, 873, 761, 584, 387, 211, 86, 17, 0, 0, 7, 12, 9, 2, 0, 0, 0, 3, 7, 9, 10, 10, 11, 11, 10, 8, 6, 6, 11, 22, 39, 58, 76, 87, 90, 83, 68, 50, 32, 17, 7, 2, 0, 0, 0, 0, 0, 0, 0, 2, 5, 7, 9, 9, 7, 6, 6, 7, 10, 11, 9, 1, 0, 1, 34, 108, 225, 377, 536, 671, 747, 744, 662, 521, 355, 202, 86, 19, 0, 0, 4, 10, 9, 4, 0, 0, 0, 0, 3, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 8, 9, 8, 7, 6, 6, 5, 5, 5, 6, 7, 8, 11, 13, 16, 17, 18, 16, 14, 10, 7, 5, 4, 4, 5, 8, 11, 15, 16, 17, 15, 14, 14, 16, 18, 19, 15, 6, 0, 0, 30, 104, 226, 391, 574, 742, 855, 885, 821, 677, 486, 295, 152, 90, 124, 241, 409, 581, 713, 771, 741, 634, 479, 313, 169, 67, 13, 0, 0, 6, 9, 7, 1, 0, 0, 0, 1, 3, 3, 2, 2, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 2, 6, 10, 14, 16, 17, 15, 13, 11, 11, 13, 15, 15, 11, 4, 0, 8, 42, 115, 229, 375, 531, 665, 747, 753, 682, 552, 401, 274, 210, 228, 323, 466, 613, 719, 752, 702, 582, 423, 262, 131, 45, 3, 0, 0, 7, 9, 6, 0, 0, 0, 0, 1, 3, 4, 4, 4, 5, 6, 7, 8, 7, 7, 6, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 4, 4, 5, 6, 8, 9, 9, 7, 5, 2, 0, 0, 0, 2, 6, 9, 11, 11, 10, 7, 4, 2, 1, 2, 4, 7, 9, 10, 11, 10, 9, 7, 5, 4, 3, 4, 5, 7, 10, 12, 12, 12, 11, 9, 7, 6, 6, 6, 6, 6, 6, 5, 3, 2, 0, 0, 1, 2, 3, 5, 6, 7, 8, 9, 9, 8, 8, 6, 5, 4, 3, 2, 3, 4, 5, 7, 9, 10, 11, 10, 9, 8, 6, 5, 5, 5, 7, 10, 12, 14, 14, 14, 13, 12, 11, 10, 9, 9, 9, 10, 11, 13, 13, 10, 5, 0, 0, 10, 43, 102, 189, 297, 412, 514, 583, 605, 573, 494, 384, 263, 154, 72, 22, 0, 0, 0, 3, 3, 1, 0, 1, 6, 13, 19, 22, 22, 20, 17, 16, 15, 13, 9, 3, 0, 4, 31, 91, 191, 330, 494, 660, 799, 883, 894, 829, 700, 533, 359, 208, 98, 33, 3, 0, 0, 3, 19, 58, 129, 237, 375, 524, 660, 758, 797, 771, 683, 550, 398, 252, 134, 53, 11, 0, 0, 2, 5, 3, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 3, 5, 6, 7, 8, 8, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 8, 10, 11, 12, 12, 12, 12, 13, 14, 14, 14, 14, 14, 13, 12, 10, 7, 3, 0, 0, 8, 32, 77, 145, 235, 337, 438, 521, 569, 573, 531, 449, 343, 233, 136, 64, 20, 1, 0, 0, 3, 4, 4, 5, 8, 13, 18, 22, 24, 23, 20, 16, 11, 9, 13, 29, 63, 122, 207, 315, 437, 555, 651, 708, 713, 666, 578, 469, 363, 286, 252, 267, 324, 406, 490, 553, 578, 558, 495, 402, 295, 192, 108, 48, 14, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 4, 5, 6, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 5, 6, 7, 6, 5, 3, 2, 1, 1, 2, 3, 4, 5, 5, 6, 6, 7, 8, 8, 7, 6, 4, 2, 0, 0, 0, 1, 2, 3, 4, 4, 4, 3, 2, 2, 2, 1, 1, 1, 1, 2, 3, 4, 6, 6, 6, 5, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 4, 6, 8, 9, 9, 8, 8, 8, 7, 7, 7, 8, 9, 11, 11, 11, 10, 6, 3, 0, 2, 10, 30, 63, 112, 175, 249, 326, 397, 452, 484, 486, 459, 407, 336, 258, 182, 116, 64, 29, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 6, 7, 8, 9, 8, 7, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 3, 2, 1, 0, 0, 0, 1, 2, 3, 2, 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, 1, 2, 4, 6, 7, 8, 8, 7, 7, 6, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 4, 6, 9, 11, 13, 14, 14, 14, 14, 14, 14, 13, 13, 12, 12, 11, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 13, 18, 27, 42, 62, 87, 117, 150, 184, 219, 253, 282, 306, 320, 323, 312, 290, 257, 219, 178, 139, 104, 75, 52, 35, 22, 13, 6, 2, 0, 0, 0, 1, 2, 3, 4, 5, 5, 4, 3, 1, 0, 0, 0, 1, 3, 4, 4, 4, 3, 3, 3, 4, 6, 7, 8, 8, 6, 3, 1, 0, 0, 0, 1, 2, 2, 3, 2, 2, 2, 3, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 4, 5, 6, 8, 9, 9, 9, 8, 7, 6, 6, 7, 8, 9, 9, 10, 10, 10, 11, 11, 11, 11, 11, 10, 9, 8, 8, 8, 9, 9, 10, 11, 12, 14, 16, 17, 18, 19, 19, 20, 22, 26, 32, 41, 53, 67, 83, 100, 120, 141, 165, 189, 215, 240, 265, 286, 302, 313, 318, 317, 310, 298, 281, 259, 235, 207, 178, 150, 123, 100, 80, 65, 53, 43, 36, 29, 23, 19, 15, 12, 10, 11, 12, 14, 16, 18, 20, 21, 23, 26, 31, 39, 48, 60, 73, 87, 101, 115, 128, 142, 156, 169, 182, 194, 205, 213, 219, 222, 224, 223, 220, 213, 201, 187, 170, 152, 135, 120, 106, 94, 83, 71, 60, 48, 38, 29, 23, 18, 16, 14, 13, 12, 11, 9, 7, 5, 3, 1, 0, 0, 0, 1, 2, 3, 3, 3, 3, 3, 3, 3, 4, 5, 6, 8, 10, 12, 16, 20, 24, 28, 32, 34, 35, 37, 40, 48, 59, 70, 79, 85, 88, 89],
"peakT": [11, 11, 13, 15, 17, 20, 21, 20, 17, 13, 10, 7, 6, 7, 8, 10, 10, 9, 8, 6, 4, 3, 3, 4, 7, 11, 15, 17, 19, 19, 18, 15, 13, 11, 10, 9, 8, 8, 9, 10, 12, 14, 16, 18, 19, 19, 18, 16, 16, 16, 18, 20, 23, 26, 29, 31, 32, 32, 32, 31, 30, 30, 32, 36, 42, 49, 55, 60, 64, 66, 68, 72, 77, 85, 95, 105, 114, 122, 127, 131, 135, 142, 150, 159, 168, 174, 178, 180, 182, 185, 192, 202, 213, 222, 229, 231, 231, 229, 228, 227, 227, 227, 227, 225, 224, 224, 226, 229, 233, 238, 240, 241, 239, 236, 232, 228, 225, 223, 221, 220, 221, 222, 225, 227, 229, 229, 227, 224, 220, 216, 214, 215, 217, 221, 226, 230, 234, 236, 238, 238, 238, 238, 238, 239, 240, 242, 243, 245, 246, 248, 250, 252, 255, 257, 259, 261, 262, 264, 266, 269, 270, 271, 270, 268, 266, 264, 264, 266, 269, 272, 274, 272, 266, 259, 252, 248, 246, 247, 250, 253, 255, 256, 256, 256, 255, 253, 251, 246, 240, 235, 232, 232, 235, 240, 244, 246, 243, 237, 229, 221, 215, 211, 209, 209, 210, 212, 213, 215, 217, 220, 223, 226, 229, 231, 232, 231, 228, 223, 217, 210, 204, 198, 195, 194, 195, 198, 202, 204, 203, 200, 194, 187, 181, 177, 174, 174, 174, 176, 179, 183, 188, 194, 201, 207, 213, 218, 222, 227, 232, 237, 241, 244, 245, 245, 243, 241, 238, 234, 230, 224, 219, 215, 213, 212, 213, 213, 212, 208, 203, 195, 187, 181, 177, 175, 176, 177, 178, 178, 176, 173, 169, 166, 162, 159, 156, 154, 151, 148, 146, 144, 143, 141, 140, 138, 136, 134, 131, 129, 126, 124, 122, 121, 119, 118, 117, 117, 116, 116, 115, 115, 113, 111, 108, 105, 101, 99, 98, 98, 99, 99, 99, 97, 95, 93, 92, 92, 92, 92, 91, 90, 89, 90, 91, 93, 94, 94, 91, 88, 84, 80, 78, 77, 76, 76, 76, 75, 74, 75, 76, 77, 78, 77, 74, 69, 64, 60, 58, 58, 61, 65, 69, 71, 71, 69, 67, 64, 63, 63, 64, 63, 61, 58, 54, 51, 49, 49, 52, 56, 59, 61, 61, 58, 54, 48, 43, 39, 38, 40, 43, 48, 53, 55, 56, 53, 48, 42, 37, 34, 34, 36, 39, 43, 46, 47, 47, 47, 45, 43, 41, 39, 38, 37, 38, 40, 42, 45, 48, 48, 48, 48, 50, 53, 58, 65, 72, 78, 82, 85, 89, 96, 108, 127, 151, 179, 207, 234, 258, 280, 299, 314, 324, 328, 325, 315, 301, 286, 273, 264, 258, 254, 250, 243, 236, 228, 220, 213, 207, 200, 190, 177, 160, 141, 122, 104, 90, 81, 75, 73, 73, 76, 78, 82, 85, 88, 93, 99, 106, 114, 123, 131, 139, 144, 148, 151, 153, 153, 153, 152, 148, 141, 131, 119, 105, 91, 79, 69, 61, 54, 49, 45, 42, 39, 36, 34, 32, 31, 31, 32, 34, 37, 40, 44, 47, 50, 53, 56, 60, 67, 77, 90, 106, 123, 139, 154, 167, 180, 192, 206, 220, 236, 251, 267, 282, 297, 311, 322, 331, 335, 336, 334, 331, 328, 326, 323, 318, 309, 297, 280, 262, 242, 223, 206, 191, 177, 166, 155, 144, 133, 121, 108, 94, 80, 67, 56, 46, 39, 33, 29, 27, 26, 26, 26, 26, 24, 23, 22, 23, 24, 27, 30, 32, 33, 33, 34, 37, 41, 47, 55, 63, 71, 78, 85, 93, 102, 112, 122, 133, 144, 154, 162, 170, 177, 183, 189, 193, 195, 196, 195, 193, 189, 185, 178, 170, 162, 154, 148, 146, 147, 152, 157, 161, 163, 163, 162, 163, 166, 172, 180, 188, 195, 200, 201, 199, 195, 188, 179, 168, 155, 141, 126, 111, 98, 86, 76, 67, 60, 53, 47, 40, 33, 26, 18, 11, 6, 3, 2, 4, 8, 12, 15, 15, 14, 12, 9, 8, 8, 9, 12, 15, 17, 18, 17, 16, 15, 14, 14, 14, 14, 15, 16, 18, 21, 26, 32, 39, 45, 51, 56, 61, 65, 70, 75, 83, 92, 103, 115, 126, 137, 146, 154, 159, 164, 170, 177, 185, 195, 205, 213, 218, 221, 223, 223, 224, 224, 223, 221, 217, 211, 204, 195, 186, 176, 164, 152, 139, 125, 111, 98, 87, 77, 69, 62, 57, 52, 50, 49, 49, 51, 54, 57, 60, 63, 66, 69, 71, 75, 81, 90, 102, 117, 134, 151, 167, 180, 188, 192, 194, 194, 194, 192, 190, 185, 179, 171, 162, 152, 142, 132, 122, 110, 96, 83, 70, 59, 50, 43, 38, 33, 28, 23, 19, 14, 11, 9, 8, 8, 8, 8, 7, 5, 3, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 4, 4, 4, 3, 1, 0, 0, 0, 0, 2, 4, 5, 5, 4, 2, 1, 0, 0, 1, 2, 2, 3, 2, 2, 2, 2, 2, 1, 0, 0, 0, 3, 7, 11, 14, 15, 14, 11, 8, 6, 6, 7, 9, 11, 12, 11, 10, 9, 8, 7, 7, 6, 6, 5, 4, 4, 5, 6, 8, 8, 8, 6, 4, 2, 1, 1, 2, 5, 7, 9, 9, 9, 7, 5, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 3, 5, 6, 6, 6, 4, 2, 1, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 6, 6, 5, 3, 1, 0, 0, 0, 0, 1, 2, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 2, 1, 1, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 8, 9, 11, 13, 14, 15, 16, 17, 19, 24, 30, 39, 48, 59, 69, 80, 91, 102, 115, 129, 145, 161, 177, 194, 212, 230, 248, 268, 286, 304, 319, 331, 341, 348, 354, 357, 357, 354, 346, 335, 321, 305, 290, 276, 264, 254, 245, 235, 222, 207, 188, 167, 145, 125, 108, 95, 86, 80, 74, 68, 60, 52, 45, 40, 39, 42, 49, 59, 71, 83, 95, 108, 122, 136, 151, 166, 180, 194, 207, 220, 232, 241, 248, 251, 247, 239, 226, 210, 194, 178, 163, 148, 133, 117, 100, 84, 69, 56, 47, 39, 33, 28, 22, 16, 10, 5, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 5, 5, 6, 6, 7, 7, 7, 6, 5, 3, 2, 2, 2, 4, 7, 9, 11, 12, 11, 10, 9, 8, 7, 7, 7, 7, 7, 7, 9, 11, 15, 18, 20, 20, 20, 19, 19, 21, 27, 37, 48, 60, 73, 85, 96, 108, 120, 135, 152, 173, 195, 218, 239, 257, 268, 273, 271, 265, 257, 251, 246, 241, 233, 221, 204, 182, 159, 139, 125, 119, 120, 125, 131, 137, 141, 146, 153, 164, 177, 190, 202, 208, 207, 201, 189, 176, 162, 148, 135, 121, 107, 93, 79, 66, 55, 46, 38, 33, 28, 24, 21, 18, 16, 14, 13, 12, 12, 12, 13, 14, 15, 16, 17, 17, 17, 15, 14, 13, 13, 13, 14, 14, 15, 14, 13, 12, 11, 9, 8, 8, 8, 9, 10, 10, 10, 9, 8, 6, 5, 5, 4, 4, 4, 4, 5, 6, 7, 8, 9, 10, 10, 10, 9, 8, 6, 5, 3, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 3, 6, 8, 10, 10, 9, 7, 4, 2, 1, 1, 2, 3, 4, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 4, 7, 10, 13, 14, 14, 13, 12, 13, 15, 19, 22, 26, 29, 31, 36, 43, 54, 69, 85, 101, 117, 131, 146, 164, 186, 210, 235, 256, 271, 279, 282, 281, 280, 280, 281, 280, 278, 273, 267, 259, 251, 243, 233, 221, 206, 190, 173, 159, 146, 136, 127, 117, 105, 90, 75, 59, 46, 36, 30, 26, 24, 23, 20, 17, 15, 14, 16, 22, 32, 43, 54, 65, 74, 84, 95, 109, 125, 143, 160, 176, 188, 194, 196, 193, 187, 179, 169, 157, 145, 131, 116, 100, 85, 71, 60, 50, 42, 36, 30, 25, 20, 15, 11, 9, 9, 10, 13, 16, 19, 20, 18, 16, 12, 9, 8, 9, 11, 14, 17, 18, 19, 18, 17, 16, 17, 17, 17, 17, 17, 16, 16, 18, 23, 29, 36, 43, 51, 58, 65, 74, 85, 99, 115, 132, 149, 164, 176, 184, 188, 188, 186, 181, 174, 165, 154, 141, 127, 112, 97, 82, 69, 58, 48, 40, 33, 26, 22, 18, 17, 18, 21, 24, 29, 34, 40, 47, 56, 68, 80, 94, 109, 124, 139, 154, 170, 186, 202, 215, 226, 234, 241, 247, 253, 261, 269, 275, 278, 275, 269, 258, 247, 235, 223, 210, 196, 180, 162, 144, 127, 112, 100, 89, 78, 66, 54, 42, 32, 25, 22, 23, 25, 27, 28, 27, 23, 19, 15, 14, 14, 17, 20, 22, 22, 20, 16, 12, 9, 7, 7, 8, 9, 10, 10, 8, 6, 4, 2, 2, 3, 5, 8, 11, 14, 16, 15, 13, 10, 7, 5, 4, 5, 6, 6, 6, 5, 3, 1, 0, 0, 0, 2, 4, 7, 8, 8, 6, 4, 2, 2, 2, 5, 7, 10, 12, 13, 12, 10, 7, 5, 3, 3, 5, 8, 11, 13, 13, 13, 11, 10, 9, 10, 12, 13, 14, 14, 12, 10, 9, 9, 10, 12, 14, 16, 17, 17, 17, 17, 16, 15, 14, 13, 12, 11, 12, 14, 16, 18, 19, 19, 19, 18, 18, 20, 24, 31, 40, 50, 61, 73, 86, 101, 120, 141, 164, 185, 204, 219, 230, 241, 252, 263, 274, 283, 286, 284, 277, 267, 258, 250, 242, 234, 223, 209, 192, 175, 159, 145, 133, 121, 106, 89, 70, 53, 39, 31, 28, 28, 29, 28, 25, 20, 14, 10, 8, 8, 9, 11, 11, 11, 10, 8, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 3, 1, 0, 0, 0, 1, 2, 3, 4, 3, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 4, 4, 4, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 9, 12, 17, 22, 29, 37, 46, 57, 69, 81, 95, 111, 129, 150, 176, 203, 229, 253, 273, 287, 298, 306, 313, 319, 325, 331, 335, 337, 339, 339, 339, 337, 331, 323, 309, 291, 270, 245, 219, 192, 166, 142, 119, 99, 82, 68, 56, 46, 38, 32, 28, 26, 25, 25, 26, 28, 30, 34, 40, 49, 61, 74, 87, 101, 115, 129, 144, 162, 181, 200, 217, 230, 239, 243, 242, 237, 228, 216, 201, 184, 164, 142, 121, 101, 83, 69, 57, 48, 40, 32, 26, 20, 14, 11, 9, 9, 9, 10, 11, 10, 9, 8, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 8, 10, 11, 13, 15, 16, 18, 18, 18, 18, 17, 17, 16, 14, 13, 10, 8, 7, 7, 9, 12, 17, 22, 27, 31, 35, 39, 45, 52, 62, 73, 86, 102, 118, 135, 153, 170, 185, 196, 204, 206, 204, 197, 188, 176, 163, 149, 135, 120, 103, 86, 70, 55, 43, 35, 30, 28, 28, 28, 27, 25, 22, 20, 18, 18, 19, 20, 21, 21, 21, 20, 20, 20, 22, 24, 27, 31, 34, 38, 42, 50, 60, 75, 93, 115, 140, 166, 192, 218, 242, 265, 286, 305, 320, 330, 336, 336, 333, 328, 323, 320, 318, 316, 312, 307, 298, 288, 276, 262, 246, 228, 207, 183, 159, 137, 118, 102, 89, 78, 67, 56, 45, 35, 29, 26, 26, 29, 33, 38, 45, 53, 65, 82, 104, 132, 164, 200, 235, 269, 301, 329, 355, 381, 409, 437, 465, 491, 512, 527, 539, 550, 561, 576, 591, 604, 608, 602, 582, 551, 512, 468, 423, 377, 331, 284, 238, 193, 153, 120, 94, 76, 64, 56, 49, 42, 36, 30, 27, 25, 24, 25, 25, 25, 24, 22, 20, 19, 19, 20, 20, 19, 18, 16, 13, 12, 12, 13, 16, 18, 20, 20, 18, 15, 11, 9, 7, 6, 7, 8, 9, 10, 11, 11, 11, 10, 10, 9, 8, 8, 8, 9, 9, 10, 10, 10, 9, 8, 7, 8, 9, 10, 10, 9, 7, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 5, 6, 8, 9, 10, 11, 10, 8, 7, 6, 7, 10, 13, 16, 18, 19, 19, 18, 18, 19, 22, 27, 33, 40, 47, 55, 66, 80, 99, 123, 152, 185, 223, 262, 302, 340, 373, 398, 412, 414, 405, 387, 361, 331, 299, 267, 235, 204, 173, 142, 113, 86, 63, 45, 31, 23, 18, 16, 14, 12, 10, 7, 4, 2, 2, 4, 7, 11, 13, 13, 12, 8, 5, 2, 1, 2, 3, 4, 5, 4, 3, 1, 0, 0, 0, 0, 2, 3, 5, 7, 8, 8, 6, 4, 2, 0, 0, 0, 1, 2, 4, 4, 4, 3, 2, 1, 1, 2, 4, 6, 7, 8, 8, 8, 8, 8, 9, 10, 10, 10, 9, 8, 6, 5, 5, 6, 9, 12, 15, 18, 19, 20, 22, 26, 33, 45, 61, 82, 105, 130, 155, 178, 200, 220, 238, 253, 265, 272, 274, 270, 259, 243, 222, 198, 172, 146, 121, 98, 78, 61, 47, 36, 28, 23, 20, 19, 18, 18, 18, 18, 16, 14, 12, 10, 8, 9, 9, 11, 11, 11, 10, 8, 7, 6, 6, 7, 9, 11, 12, 12, 12, 12, 12, 13, 14, 15, 18, 20, 24, 29, 37, 46, 58, 72, 89, 108, 128, 149, 172, 194, 215, 231, 242, 245, 240, 228, 209, 188, 166, 144, 124, 105, 87, 71, 56, 43, 33, 24, 17, 13, 11, 11, 12, 14, 16, 18, 19, 18, 16, 15, 13, 13, 14, 16, 18, 19, 20, 20, 20, 21, 23, 28, 34, 43, 54, 68, 85, 103, 122, 142, 159, 174, 185, 193, 198, 200, 198, 194, 184, 170, 151, 128, 103, 79, 58, 42, 30, 23, 19, 16, 13, 10, 7, 3, 1, 0, 0, 1, 3, 4, 5, 5, 5, 4, 4, 5, 7, 8, 9, 8, 7, 5, 3, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 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, 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, 1, 2, 4, 6, 6, 6, 5, 3, 2, 2, 3, 5, 7, 9, 9, 9, 8, 6, 5, 4, 5, 5, 6, 6, 6, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 6, 6, 6, 5, 4, 4, 6, 8, 10, 11, 11, 11, 9, 7, 5, 3, 2, 2, 2, 2, 3, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 17, 16, 14, 12, 9, 7, 6, 5, 5, 4, 3, 2, 1, 0, 1, 2, 4, 5, 6, 5, 4, 3, 1, 0, 0, 0, 1, 3, 5, 8, 10, 10, 10, 9, 8, 9, 10, 12, 13, 14, 13, 12, 11, 10, 8, 8, 7, 7, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 9, 10, 9, 7, 4, 2, 1, 2, 5, 9, 12, 14, 13, 11, 8, 6, 5, 5, 6, 6, 6, 5, 4, 3, 2, 3, 3, 4, 4, 4, 3, 1, 0, 0, 0, 1, 4, 7, 10, 12, 13, 13, 12, 11, 11, 11, 11, 11, 11, 10, 9, 8, 7, 7, 7, 7, 8, 9, 10, 11, 12, 12, 11, 10, 8, 5, 4, 4, 5, 7, 9, 10, 10, 9, 7, 6, 6, 7, 8, 9, 10, 10, 8, 7, 5, 3, 3, 5, 9, 15, 22, 29, 38, 49, 64, 85, 113, 148, 188, 232, 276, 317, 351, 376, 391, 395, 387, 368, 339, 302, 260, 216, 174, 134, 101, 73, 52, 36, 24, 16, 10, 5, 3, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 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, 1, 2, 3, 4, 5, 5, 5, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 8, 11, 15, 20, 27, 37, 51, 71, 96, 126, 161, 197, 232, 262, 285, 299, 302, 295, 278, 254, 225, 192, 159, 127, 99, 75, 55, 41, 31, 24, 20, 17, 14, 12, 11, 9, 8, 6, 5, 4, 5, 6, 7, 9, 10, 10, 10, 9, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 7, 8, 9, 9, 8, 7, 6, 4, 3, 4, 7, 10, 13, 15, 15, 14, 11, 9, 8, 8, 10, 12, 14, 14, 13, 12, 10, 9, 9, 9, 10, 11, 11, 10, 9, 8, 7, 7, 7, 7, 7, 7, 7, 8, 9, 12, 14, 16, 19, 23, 29, 39, 55, 75, 98, 123, 148, 172, 196, 218, 239, 255, 267, 273, 273, 268, 262, 256, 253, 254, 257, 262, 266, 267, 264, 256, 242, 222, 197, 169, 140, 110, 82, 58, 37, 22, 11, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 1, 0, 0, 0, 1, 2, 3, 3, 2, 1, 0, 0, 0, 1, 3, 3, 3, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 3, 6, 8, 11, 14, 17, 22, 30, 41, 55, 75, 99, 126, 155, 183, 207, 226, 237, 239, 233, 219, 200, 177, 151, 124, 98, 74, 55, 41, 33, 33, 38, 49, 65, 84, 107, 132, 158, 183, 205, 223, 233, 234, 226, 209, 184, 155, 125, 98, 75, 57, 43, 32, 24, 17, 12, 8, 6, 5, 5, 6, 7, 7, 6, 6, 5, 6, 7, 8, 9, 10, 11, 12, 12, 12, 11, 11, 10, 9, 8, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 2, 2, 2, 2, 3, 4, 5, 6, 5, 4, 2, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 6, 6, 6, 5, 5, 5, 5, 4, 4, 3, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 3, 4, 6, 7, 7, 7, 6, 6, 5, 5, 5, 6, 6, 5, 4, 3, 1, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 5, 6, 6, 8, 10, 14, 18, 22, 27, 31, 35, 41, 51, 64, 83, 106, 132, 160, 190, 219, 248, 275, 296, 308, 308, 295, 271, 238, 201, 166, 135, 109, 87, 69, 53, 39, 28, 21, 17, 16, 15, 14, 12, 10, 8, 6, 7, 8, 10, 11, 11, 10, 8, 7, 6, 7, 8, 10, 11, 12, 12, 12, 13, 13, 13, 12, 12, 11, 11, 12, 12, 13, 13, 13, 13, 14, 15, 16, 18, 18, 18, 19, 20, 23, 27, 33, 39, 48, 60, 77, 102, 136, 178, 225, 276, 326, 372, 410, 437, 449, 444, 421, 382, 331, 273, 216, 164, 121, 88, 65, 48, 36, 28, 22, 17, 14, 12, 11, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 18, 17, 15, 13, 11, 10, 9, 10, 11, 14, 18, 24, 33, 45, 62, 85, 114, 148, 187, 226, 264, 296, 321, 336, 341, 337, 325, 308, 291, 275, 265, 262, 265, 272, 279, 283, 280, 268, 247, 219, 187, 153, 121, 93, 69, 49, 35, 24, 18, 14, 12, 12, 11, 11, 11, 11, 12, 12, 14, 15, 19, 25, 36, 52, 74, 102, 135, 170, 205, 235, 258, 271, 274, 266, 249, 224, 195, 163, 130, 99, 71, 48, 33, 24, 21, 23, 25, 27, 27, 25, 22, 19, 18, 20, 23, 28, 33, 37, 39, 39, 38, 35, 31, 28, 25, 22, 21, 22, 26, 33, 44, 61, 82, 108, 140, 176, 217, 259, 300, 335, 359, 371, 371, 364, 357, 356, 366, 387, 418, 451, 482, 506, 519, 519, 505, 478, 437, 385, 325, 263, 203, 150, 107, 76, 55, 41, 32, 26, 22, 19, 17, 16, 16, 15, 14, 13, 11, 10, 9, 9, 9, 9, 10, 9, 8, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 7, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 5, 5, 5, 5, 6, 5, 4, 3, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 3, 5, 7, 7, 6, 4, 2, 2, 2, 4, 7, 10, 11, 13, 13, 14, 14, 14, 13, 11, 9, 6, 4, 1, 0, 0, 0, 0, 0, 3, 9, 20, 36, 58, 85, 115, 146, 176, 201, 219, 229, 229, 220, 203, 180, 154, 126, 99, 74, 53, 35, 22, 12, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 4, 5, 5, 6, 5, 4, 3, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 3, 4, 5, 5, 5, 4, 3, 3, 4, 4, 4, 4, 3, 1, 0, 0, 0, 0, 0, 1, 2, 4, 5, 6, 7, 9, 10, 10, 10, 10, 9, 9, 10, 11, 13, 15, 15, 14, 12, 10, 9, 9, 9, 11, 12, 13, 13, 13, 14, 16, 18, 21, 22, 23, 22, 20, 19, 19, 22, 29, 42, 59, 82, 111, 144, 179, 213, 243, 266, 281, 284, 277, 259, 234, 204, 170, 137, 105, 77, 56, 43, 41, 52, 77, 116, 169, 234, 306, 383, 458, 527, 584, 622, 635, 620, 578, 511, 426, 335, 247, 171, 113, 74, 51, 40, 35, 32, 28, 24, 20, 19, 20, 25, 30, 35, 37, 38, 39, 41, 48, 62, 86, 120, 165, 217, 274, 328, 373, 402, 412, 400, 368, 323, 270, 217, 166, 123, 87, 59, 38, 24, 15, 12, 11, 13, 15, 16, 16, 14, 12, 9, 7, 6, 7, 9, 11, 13, 15, 15, 15, 16, 16, 17, 19, 20, 21, 22, 22, 21, 20, 19, 17, 15, 12, 9, 6, 3, 1, 0, 0, 0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 9, 9, 10, 10, 11, 12, 12, 12, 10, 9, 7, 6, 6, 7, 8, 8, 8, 6, 4, 3, 3, 5, 7, 10, 13, 14, 14, 13, 11, 9, 7, 6, 5, 4, 3, 2, 3, 3, 4, 6, 7, 7, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 4, 4, 5, 6, 6, 6, 5, 4, 4, 4, 5, 7, 9, 10, 9, 8, 6, 4, 2, 2, 4, 5, 7, 7, 7, 6, 5, 5, 5, 6, 7, 7, 7, 5, 3, 1, 0, 0, 0, 0, 1, 1, 2, 3, 4, 6, 9, 11, 12, 11, 9, 6, 4, 3, 4, 6, 8, 9, 8, 7, 4, 2, 0, 0, 0, 2, 4, 7, 10, 12, 14, 15, 14, 13, 12, 14, 19, 32, 53, 84, 127, 182, 246, 318, 391, 458, 512, 545, 552, 531, 485, 421, 345, 269, 197, 136, 89, 54, 31, 18, 11, 9, 10, 11, 12, 13, 12, 12, 11, 10, 11, 11, 11, 12, 11, 11, 10, 9, 8, 8, 7, 6, 5, 4, 3, 2, 1, 0, 0, 0, 1, 2, 4, 7, 9, 12, 13, 13, 13, 12, 11, 10, 10, 11, 12, 15, 18, 21, 24, 27, 30, 35, 44, 61, 88, 131, 188, 260, 338, 415, 480, 523, 538, 523, 482, 420, 348, 273, 203, 143, 95, 60, 37, 23, 17, 15, 15, 16, 17, 18, 17, 17, 16, 16, 17, 18, 20, 21, 21, 21, 19, 17, 16, 15, 16, 18, 20, 22, 23, 22, 21, 19, 18, 16, 16, 15, 14, 12, 10, 9, 8, 9, 10, 12, 13, 14, 13, 12, 11, 11, 12, 14, 16, 17, 19, 20, 21, 23, 25, 26, 27, 27, 25, 22, 20, 18, 16, 15, 13, 13, 12, 14, 18, 26, 39, 57, 80, 106, 132, 158, 180, 195, 203, 204, 199, 191, 186, 187, 199, 221, 253, 288, 321, 343, 351, 341, 316, 280, 236, 189, 145, 104, 69, 41, 22, 11, 6, 7, 10, 14, 17, 19, 21, 22, 23, 25, 27, 28, 29, 29, 28, 27, 26, 24, 23, 22, 20, 19, 18, 18, 19, 23, 31, 46, 69, 104, 150, 207, 272, 340, 406, 461, 498, 511, 498, 458, 398, 327, 253, 188, 135, 99, 76, 63, 55, 49, 43, 36, 32, 29, 30, 32, 35, 37, 38, 39, 39, 40, 44, 50, 62, 82, 113, 157, 215, 282, 354, 420, 473, 505, 515, 503, 475, 440, 407, 384, 378, 392, 424, 464, 503, 527, 528, 500, 446, 374, 296, 223, 162, 117, 87, 67, 55, 45, 39, 34, 35, 43, 61, 92, 136, 192, 255, 320, 379, 426, 455, 463, 451, 422, 382, 338, 298, 266, 248, 244, 252, 266, 281, 289, 286, 273, 254, 235, 223, 223, 235, 256, 279, 296, 301, 292, 268, 235, 196, 156, 119, 87, 61, 40, 25, 15, 10, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 8, 6, 4, 2, 1, 2, 4, 6, 9, 10, 9, 8, 6, 4, 2, 2, 2, 2, 3, 4, 6, 7, 9, 10, 10, 9, 7, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 4, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 4, 3, 3, 2, 2, 1, 0, 0, 2, 4, 7, 10, 12, 13, 13, 13, 12, 12, 11, 11, 11, 12, 14, 19, 28, 43, 66, 97, 137, 182, 229, 272, 307, 328, 335, 326, 306, 281, 256, 236, 227, 228, 238, 254, 271, 285, 290, 284, 268, 240, 203, 162, 120, 82, 51, 29, 15, 9, 8, 9, 14, 21, 34, 55, 86, 126, 174, 223, 267, 300, 316, 313, 290, 251, 203, 153, 106, 68, 39, 20, 8, 1, 0, 0, 7, 22, 46, 77, 116, 159, 206, 252, 294, 326, 344, 343, 322, 281, 228, 170, 116, 71, 39, 19, 9, 4, 2, 1, 0, 0, 1, 3, 6, 8, 10, 10, 9, 8, 7, 7, 7, 9, 12, 14, 15, 16, 15, 14, 14, 15, 16, 18, 21, 25, 30, 40, 57, 83, 118, 160, 202, 240, 267, 278, 275, 257, 230, 197, 161, 126, 94, 67, 45, 30, 21, 19, 23, 33, 53, 85, 133, 198, 276, 361, 442, 508, 550, 561, 539, 490, 418, 335, 250, 172, 108, 60, 30, 15, 11, 13, 17, 20, 21, 19, 17, 16, 15, 15, 17, 19, 21, 23, 23, 22, 22, 24, 30, 44, 67, 99, 140, 185, 230, 266, 290, 298, 291, 273, 251, 232, 221, 222, 236, 258, 286, 312, 331, 338, 329, 303, 261, 210, 155, 104, 62, 33, 15, 8, 6, 8, 10, 11, 12, 12, 12, 13, 14, 15, 17, 18, 20, 21, 21, 19, 15, 10, 6, 3, 1, 2, 3, 5, 6, 6, 5, 4, 3, 3, 4, 5, 5, 5, 4, 3, 1, 0, 0, 0, 3, 13, 31, 59, 100, 152, 212, 274, 332, 376, 400, 400, 376, 331, 274, 211, 152, 102, 63, 35, 18, 7, 2, 0, 0, 0, 1, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 3, 4, 5, 6, 5, 3, 1, 0, 0, 2, 6, 9, 11, 12, 12, 10, 8, 7, 6, 6, 6, 6, 7, 7, 8, 9, 9, 10, 11, 14, 22, 37, 63, 99, 145, 197, 250, 295, 325, 336, 324, 293, 247, 192, 138, 90, 51, 25, 9, 1, 0, 0, 1, 3, 5, 7, 8, 9, 10, 11, 13, 15, 17, 17, 17, 19, 25, 41, 68, 110, 163, 223, 282, 330, 361, 368, 351, 312, 258, 197, 137, 85, 45, 19, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 5, 6, 8, 10, 11, 12, 12, 11, 9, 8, 7, 6, 6, 7, 8, 8, 7, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 2, 2, 3, 5, 8, 10, 12, 13, 13, 13, 12, 12, 12, 12, 12, 10, 8, 5, 4, 3, 3, 4, 6, 7, 7, 7, 6, 5, 3, 2, 1, 1, 0, 0, 0, 0, 0, 1, 3, 4, 5, 6, 7, 9, 11, 14, 16, 18, 19, 19, 18, 17, 16, 14, 13, 11, 9, 6, 4, 3, 3, 4, 4, 4, 4, 4, 4, 6, 9, 12, 16, 19, 21, 22, 22, 21, 20, 19, 17, 17, 16, 17, 19, 20, 22, 23, 23, 22, 21, 19, 18, 18, 18, 19, 20, 22, 23, 24, 23, 22, 20, 18, 16, 15, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 14, 15, 15, 16, 16, 17, 17, 16, 16, 15, 14, 14, 13, 12, 12, 12, 12, 12, 12, 12, 11, 10, 8, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 4, 3, 2, 2, 3, 4, 6, 8, 9, 8, 7, 5, 4, 3, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 5, 8, 11, 15, 18, 20, 21, 19, 17, 15, 16, 24, 42, 73, 120, 181, 252, 325, 391, 439, 460, 451, 415, 361, 302, 253, 224, 220, 241, 276, 315, 346, 359, 349, 319, 272, 217, 162, 113, 74, 47, 29, 18, 13, 12, 17, 31, 58, 103, 167, 248, 341, 434, 517, 575, 600, 588, 542, 471, 392, 320, 270, 249, 257, 285, 320, 348, 358, 344, 311, 269, 230, 209, 213, 244, 296, 359, 417, 458, 473, 458, 417, 363, 310, 273, 264, 288, 342, 415, 488, 544, 568, 554, 503, 423, 330, 237, 157, 97, 58, 37, 28, 27, 27, 27, 26, 24, 22, 21, 20, 18, 17, 15, 12, 11, 10, 10, 12, 13, 15, 15, 16, 16, 15, 15, 14, 13, 13, 11, 10, 8, 7, 10, 21, 46, 89, 154, 240, 339, 440, 527, 584, 603, 578, 518, 435, 347, 275, 231, 224, 250, 300, 358, 407, 433, 430, 398, 347, 291, 245, 221, 226, 255, 301, 348, 382, 394, 377, 336, 278, 212, 148, 93, 52, 24, 8, 1, 0, 0, 2, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 6, 7, 7, 6, 6, 5, 5, 5, 6, 8, 9, 10, 10, 10, 9, 9, 8, 8, 7, 7, 7, 7, 7, 8, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 9, 10, 12, 13, 14, 15, 16, 18, 25, 41, 69, 113, 173, 246, 326, 404, 466, 502, 505, 472, 409, 325, 234, 149, 81, 34, 8, 0, 0, 3, 7, 7, 5, 2, 0, 0, 1, 4, 7, 10, 12, 13, 13, 12, 12, 12, 12, 13, 15, 17, 19, 21, 21, 20, 18, 15, 15, 21, 41, 77, 133, 207, 293, 378, 450, 495, 505, 479, 425, 355, 289, 239, 217, 223, 251, 290, 327, 350, 352, 332, 293, 241, 184, 130, 84, 50, 28, 16, 11, 10, 11, 11, 11, 9, 8, 8, 8, 9, 10, 11, 11, 11, 9, 8, 5, 3, 2, 1, 1, 3, 5, 7, 8, 8, 7, 5, 2, 1, 0, 0, 0, 0, 1, 3, 4, 5, 6, 5, 4, 2, 0, 0, 0, 2, 5, 8, 12, 14, 16, 16, 15, 13, 11, 9, 8, 8, 7, 7, 6, 4, 2, 1, 0, 0, 1, 3, 5, 8, 10, 13, 17, 20, 23, 24, 23, 21, 20, 25, 39, 69, 116, 180, 255, 331, 397, 440, 454, 435, 389, 323, 249, 178, 117, 71, 40, 23, 15, 14, 15, 17, 18, 17, 15, 13, 11, 11, 11, 12, 14, 14, 14, 12, 10, 9, 13, 26, 52, 93, 150, 220, 293, 360, 410, 432, 424, 384, 322, 246, 170, 104, 54, 22, 6, 0, 0, 0, 0, 5, 18, 46, 91, 153, 227, 304, 373, 422, 443, 434, 399, 349, 300, 269, 268, 303, 370, 457, 543, 607, 631, 608, 539, 437, 319, 207, 114, 50, 14, 0, 0, 1, 6, 9, 11, 12, 14, 15, 16, 16, 16, 17, 18, 18, 18, 17, 14, 10, 7, 4, 3, 3, 5, 6, 8, 8, 7, 7, 6, 6, 6, 6, 6, 5, 3, 1, 0, 0, 0, 2, 3, 3, 3, 7, 18, 43, 84, 143, 217, 296, 371, 426, 452, 442, 397, 325, 239, 155, 84, 35, 8, 0, 0, 1, 3, 2, 0, 0, 0, 0, 1, 4, 6, 7, 8, 7, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 5, 5, 5, 4, 3, 2, 2, 2, 4, 6, 9, 11, 13, 14, 15, 14, 13, 11, 9, 7, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 5, 6, 8, 9, 11, 12, 12, 12, 13, 14, 15, 16, 17, 18, 17, 16, 14, 11, 8, 5, 2, 1, 2, 4, 7, 10, 14, 16, 16, 15, 12, 9, 6, 5, 5, 6, 7, 8, 8, 7, 7, 8, 9, 11, 14, 16, 17, 17, 16, 14, 14, 13, 13, 12, 11, 9, 8, 13, 26, 51, 90, 142, 199, 255, 298, 321, 319, 292, 246, 190, 133, 82, 44, 18, 5, 0, 0, 1, 4, 7, 9, 11, 12, 11, 10, 8, 7, 6, 5, 5, 4, 3, 2, 2, 3, 6, 11, 16, 19, 22, 21, 20, 18, 16, 15, 16, 18, 22, 25, 27, 29, 29, 27, 24, 21, 21, 31, 57, 106, 181, 279, 391, 502, 591, 642, 643, 593, 504, 398, 303, 242, 233, 275, 357, 453, 535, 581, 576, 522, 436, 340, 262, 222, 232, 288, 377, 476, 560, 608, 608, 560, 476, 377, 290, 236, 230, 273, 353, 448, 533, 584, 589, 545, 465, 373, 293, 250, 255, 308, 393, 486, 563, 602, 593, 535, 441, 330, 220, 128, 61, 21, 3, 0, 0, 3, 6, 6, 6, 6, 6, 5, 5, 4, 3, 4, 5, 6, 8, 8, 8, 6, 4, 3, 3, 4, 6, 8, 9, 9, 9, 8, 7, 6, 6, 7, 8, 9, 11, 14, 18, 21, 22, 19, 12, 4, 2, 12, 42, 98, 179, 278, 384, 479, 549, 581, 569, 517, 432, 331, 228, 137, 68, 24, 3, 0, 1, 5, 7, 8, 14, 37, 84, 160, 264, 383, 499, 591, 641, 639, 587, 497, 391, 292, 222, 192, 203, 247, 307, 364, 399, 403, 372, 313, 238, 161, 93, 44, 14, 1, 0, 2, 7, 11, 14, 14, 14, 13, 11, 8, 5, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 3, 7, 11, 15, 18, 19, 18, 15, 12, 9, 8, 7, 8, 9, 9, 8, 7, 6, 4, 3, 4, 5, 8, 13, 20, 27, 34, 38, 39, 36, 29, 19, 11, 9, 21, 55, 116, 205, 316, 437, 549, 633, 672, 658, 594, 494, 381, 280, 213, 193, 220, 283, 360, 427, 464, 459, 412, 336, 253, 186, 151, 158, 201, 266, 332, 380, 395, 373, 320, 247, 169, 101, 49, 18, 3, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 3, 4, 5, 6, 5, 5, 3, 2, 0, 0, 0, 1, 2, 3, 4, 5, 5, 6, 7, 7, 6, 5, 3, 2, 0, 0, 1, 2, 4, 4, 3, 1, 0, 0, 8, 30, 66, 119, 184, 255, 322, 372, 395, 385, 342, 274, 194, 118, 57, 18, 0, 0, 0, 3, 4, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 8, 11, 13, 14, 15, 15, 15, 15, 15, 15, 14, 13, 10, 8, 7, 5, 4, 1, 0, 0, 10, 38, 89, 168, 270, 384, 492, 574, 612, 598, 535, 439, 336, 255, 220, 240, 311, 414, 519, 598, 629, 605, 529, 419, 298, 186, 97, 39, 8, 0, 0, 7, 14, 18, 20, 19, 18, 17, 16, 16, 18, 20, 22, 24, 25, 25, 25, 25, 26, 27, 28, 28, 27, 27, 28, 30, 32, 33, 31, 27, 23, 24, 39, 74, 133, 214, 308, 402, 478, 520, 519, 474, 396, 303, 217, 159, 142, 171, 236, 322, 406, 466, 487, 463, 400, 313, 224, 156, 127, 147, 212, 308, 411, 497, 542, 536, 481, 390, 285, 191, 129, 107, 126, 173, 231, 281, 309, 307, 277, 226, 165, 105, 56, 22, 4, 0, 0, 3, 4, 2, 0, 0, 9, 43, 103, 191, 298, 411, 510, 576, 597, 568, 495, 392, 278, 172, 87, 31, 3, 0, 2, 12, 21, 27, 29, 28, 26, 22, 19, 16, 15, 16, 16, 14, 7, 0, 0, 10, 54, 138, 261, 410, 562, 689, 765, 776, 719, 608, 466, 318, 187, 89, 28, 1, 0, 7, 21, 32, 38, 38, 35, 29, 22, 16, 12, 9, 8, 7, 8, 8, 8, 9, 9, 10, 11, 12, 14, 15, 16, 17, 18, 18, 18, 18, 18, 19, 19, 18, 16, 14, 12, 11, 10, 9, 7, 3, 0, 0, 11, 44, 106, 199, 316, 444, 560, 644, 677, 651, 571, 453, 320, 196, 98, 35, 4, 0, 0, 3, 4, 3, 1, 1, 3, 7, 9, 10, 8, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 7, 9, 9, 7, 5, 2, 0, 0, 0, 1, 3, 5, 6, 6, 5, 5, 7, 9, 11, 13, 13, 12, 10, 8, 7, 9, 10, 11, 9, 6, 4, 11, 35, 83, 158, 254, 360, 454, 519, 539, 509, 437, 337, 230, 136, 65, 22, 2, 0, 0, 5, 10, 13, 15, 16, 16, 14, 10, 6, 4, 3, 5, 8, 10, 11, 10, 8, 5, 3, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 9, 10, 11, 12, 12, 11, 10, 10, 9, 8, 7, 6, 5, 5, 7, 11, 18, 27, 34, 39, 39, 35, 28, 20, 12, 6, 2, 0, 0, 0, 0, 1, 3, 5, 7, 8, 10, 10, 11, 14, 17, 21, 24, 23, 19, 12, 9, 17, 43, 92, 164, 252, 342, 419, 466, 472, 436, 364, 271, 177, 97, 40, 9, 0, 0, 1, 4, 3, 0, 0, 0, 0, 4, 7, 10, 13, 15, 16, 17, 17, 15, 13, 10, 8, 6, 6, 8, 10, 13, 16, 17, 17, 16, 13, 11, 9, 9, 11, 16, 21, 27, 31, 32, 31, 28, 23, 18, 14, 12, 12, 15, 19, 23, 27, 27, 23, 15, 6, 2, 14, 51, 118, 212, 324, 433, 518, 559, 547, 483, 383, 267, 159, 75, 24, 0, 0, 0, 4, 4, 2, 0, 0, 0, 0, 0, 0, 1, 4, 10, 16, 22, 25, 24, 20, 13, 6, 1, 0, 0, 0, 1, 2, 3, 4, 4, 4, 3, 2, 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, 1, 2, 3, 5, 7, 8, 9, 10, 9, 6, 4, 1, 0, 0, 1, 3, 6, 6, 4, 0, 0, 7, 30, 76, 144, 231, 323, 404, 455, 465, 430, 357, 262, 166, 85, 30, 3, 0, 0, 3, 5, 4, 0, 0, 0, 0, 1, 4, 6, 8, 11, 13, 16, 17, 18, 17, 15, 12, 8, 6, 5, 5, 8, 11, 14, 15, 13, 6, 0, 0, 12, 47, 108, 192, 287, 377, 442, 467, 445, 382, 298, 216, 164, 158, 203, 289, 393, 487, 545, 551, 501, 407, 292, 179, 88, 29, 1, 0, 0, 6, 7, 5, 1, 0, 0, 1, 6, 11, 17, 21, 23, 24, 22, 18, 13, 7, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 2, 1, 1, 0, 0, 0, 0, 2, 4, 6, 7, 8, 7, 5, 3, 1, 0, 0, 1, 3, 6, 8, 9, 10, 9, 6, 4, 2, 2, 3, 6, 11, 16, 20, 22, 22, 20, 18, 15, 15, 15, 17, 19, 20, 22, 22, 22, 20, 15, 8, 0, 0, 14, 56, 133, 245, 382, 521, 635, 700, 698, 629, 509, 368, 241, 161, 148, 203, 311, 440, 555, 625, 630, 571, 463, 337, 227, 160, 154, 207, 303, 413, 510, 566, 570, 520, 428, 315, 201, 106, 41, 6, 0, 4, 14, 16, 9, 0, 0, 23, 94, 218, 390, 587, 776, 915, 974, 936, 811, 627, 424, 241, 106, 26, 0, 0, 5, 15, 19, 17, 13, 10, 9, 8, 9, 10, 12, 14, 17, 19, 20, 19, 18, 16, 14, 13, 12, 11, 9, 7, 5, 2, 1, 0, 0, 0, 0, 0, 2, 4, 7, 9, 12, 14, 16, 19, 20, 19, 13, 4, 0, 0, 27, 88, 187, 317, 460, 588, 673, 695, 647, 541, 400, 256, 133, 48, 4, 0, 1, 14, 23, 27, 26, 23, 21, 20, 20, 21, 21, 21, 20, 21, 22, 22, 21, 16, 9, 4, 9, 33, 82, 156, 247, 342, 419, 462, 461, 415, 336, 242, 150, 76, 27, 3, 0, 3, 11, 16, 17, 13, 10, 14, 36, 85, 163, 267, 381, 486, 558, 580, 545, 462, 348, 227, 122, 47, 6, 0, 0, 13, 22, 22, 13, 0, 0, 8, 54, 139, 257, 394, 524, 618, 655, 624, 533, 404, 265, 143, 56, 8, 0, 0, 7, 12, 9, 1, 0, 0, 31, 95, 194, 318, 450, 564, 635, 645, 591, 485, 351, 217, 108, 37, 2, 0, 0, 5, 7, 4, 0, 0, 0, 0, 1, 2, 2, 2, 2, 3, 5, 7, 8, 8, 6, 4, 2, 0, 0, 0, 0, 2, 3, 5, 6, 6, 5, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 6, 6, 6, 6, 7, 7, 9, 10, 11, 11, 10, 9, 7, 6, 6, 7, 9, 10, 10, 9, 7, 4, 1, 0, 0, 1, 3, 5, 7, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 5, 5, 4, 1, 0, 0, 0, 3, 6, 9, 11, 11, 11, 10, 10, 11, 13, 15, 16, 16, 13, 10, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 8, 10, 13, 15, 16, 17, 16, 15, 13, 12, 11, 11, 11, 11, 11, 12, 13, 14, 14, 14, 14, 14, 15, 16, 18, 20, 22, 23, 23, 24, 24, 24, 23, 22, 19, 16, 15, 16, 19, 22, 23, 18, 8, 0, 0, 25, 83, 178, 301, 434, 549, 621, 632, 580, 475, 343, 212, 103, 32, 0, 0, 2, 13, 15, 8, 0, 0, 20, 86, 202, 360, 540, 707, 824, 863, 812, 683, 508, 326, 170, 63, 8, 0, 0, 10, 18, 21, 20, 21, 24, 28, 31, 32, 31, 29, 26, 24, 23, 24, 25, 27, 29, 30, 30, 29, 27, 23, 19, 16, 13, 11, 12, 14, 15, 13, 7, 0, 0, 10, 53, 130, 238, 362, 477, 557, 582, 547, 459, 340, 217, 114, 43, 6, 0, 0, 5, 9, 10, 10, 10, 11, 13, 13, 13, 13, 12, 14, 15, 15, 10, 2, 0, 3, 34, 98, 197, 323, 453, 560, 619, 614, 545, 430, 296, 171, 76, 19, 0, 0, 4, 12, 15, 14, 11, 8, 8, 9, 12, 16, 21, 27, 31, 33, 33, 29, 25, 20, 16, 14, 14, 15, 17, 19, 20, 22, 22, 19, 12, 3, 0, 0, 25, 79, 163, 266, 372, 456, 499, 488, 426, 328, 218, 120, 49, 9, 0, 0, 3, 7, 6, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 8, 9, 9, 9, 8, 7, 5, 5, 5, 6, 9, 13, 16, 19, 20, 20, 19, 17, 15, 14, 13, 12, 12, 11, 11, 12, 12, 13, 14, 14, 14, 13, 11, 9, 7, 6, 4, 4, 3, 3, 3, 3, 4, 5, 7, 9, 11, 14, 17, 21, 25, 29, 29, 24, 12, 0, 0, 14, 72, 174, 314, 470, 609, 699, 714, 648, 520, 362, 216, 122, 101, 157, 269, 401, 516, 579, 575, 506, 393, 264, 147, 62, 13, 0, 0, 8, 15, 18, 17, 14, 12, 11, 11, 12, 13, 13, 13, 12, 11, 11, 10, 11, 11, 12, 13, 13, 12, 10, 9, 8, 8, 8, 8, 9, 10, 11, 11, 12, 13, 15, 17, 19, 21, 23, 25, 27, 29, 30, 31, 31, 27, 22, 15, 9, 6, 5, 6, 6, 2, 0, 0, 17, 66, 150, 263, 387, 497, 565, 572, 517, 413, 286, 166, 73, 18, 0, 0, 2, 8, 7, 3, 0, 0, 0, 0, 2, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 6, 5, 3, 1, 0, 0, 0, 1, 3, 4, 4, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 9, 11, 11, 10, 8, 7, 6, 6, 6, 6, 7, 8, 10, 13, 16, 20, 25, 28, 30, 29, 27, 23, 20, 20, 23, 28, 31, 27, 12, 0, 0, 30, 132, 309, 546, 805, 1031, 1167, 1178, 1062, 847, 588, 343, 154, 40, 0, 0, 6, 18, 20, 16, 11, 10, 14, 20, 25, 26, 23, 17, 12, 10, 12, 18, 23, 22, 12, 0, 0, 19, 100, 247, 448, 671, 867, 984, 992, 888, 699, 475, 267, 112, 23, 0, 0, 5, 15, 18, 16, 11, 5, 0, 0, 1, 40, 120, 243, 393, 542, 652, 694, 657, 550, 401, 248, 121, 38, 0, 0, 0, 9, 11, 7, 1, 0, 0, 0, 1, 2, 2, 2, 2, 3, 5, 6, 5, 4, 2, 1, 0, 1, 4, 6, 9, 11, 13, 14, 16, 17, 17, 16, 15, 13, 10, 8, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 8, 9, 11, 13, 15, 16, 15, 12, 8, 3, 0, 0, 0, 6, 12, 12, 6, 0, 0, 21, 88, 202, 355, 518, 655, 730, 723, 636, 491, 327, 178, 70, 11, 0, 0, 10, 21, 26, 27, 27, 28, 29, 29, 25, 20, 13, 6, 2, 0, 0, 0, 2, 3, 5, 5, 6, 6, 6, 6, 5, 5, 7, 10, 14, 16, 13, 5, 0, 0, 22, 86, 192, 331, 480, 604, 674, 670, 593, 463, 312, 173, 69, 10, 0, 0, 11, 22, 24, 15, 1, 0, 6, 57, 158, 307, 488, 669, 812, 879, 850, 727, 539, 333, 165, 81, 105, 231, 426, 634, 796, 867, 827, 687, 486, 280, 127, 68, 117, 257, 448, 633, 760, 793, 723, 570, 378, 200, 83, 56, 120, 251, 406, 537, 607, 597, 514, 385, 244, 124, 42, 2, 0, 1, 10, 14, 13, 8, 5, 3, 3, 3, 3, 2, 2, 2, 4, 6, 9, 10, 11, 10, 10, 10, 11, 12, 13, 14, 15, 14, 14, 14, 15, 15, 15, 14, 11, 8, 4, 2, 2, 3, 6, 10, 13, 15, 15, 15, 14, 12, 11, 10, 11, 13, 17, 20, 18, 10, 0, 0, 11, 64, 163, 300, 456, 595, 682, 694, 627, 498, 341, 194, 82, 17, 0, 0, 1, 9, 12, 11, 6, 0, 0, 0, 18, 73, 164, 284, 409, 510, 559, 542, 464, 346, 218, 109, 36, 0, 0, 0, 7, 9, 6, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 3, 5, 5, 4, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 2, 2, 2, 3, 4, 6, 8, 9, 10, 10, 10, 9, 9, 9, 9, 10, 10, 9, 8, 6, 3, 2, 0, 0, 0, 0, 1, 2, 4, 4, 4, 4, 4, 4, 5, 6, 7, 8, 9, 9, 8, 6, 4, 2, 0, 0, 0, 1, 3, 6, 8, 9, 8, 6, 4, 2, 0, 0, 0, 0, 2, 5, 7, 9, 9, 8, 6, 3, 1, 0, 0, 1, 4, 7, 10, 12, 11, 9, 6, 2, 0, 0, 0, 2, 5, 7, 8, 8, 7, 6, 5, 4, 4, 4, 6, 8, 9, 11, 12, 13, 13, 12, 10, 8, 6, 4, 2, 2, 3, 6, 9, 12, 15, 16, 16, 14, 11, 9, 9, 11, 14, 18, 21, 21, 19, 15, 10, 5, 2, 1, 1, 2, 4, 5, 6, 6, 5, 3, 1, 0, 0, 0, 3, 7, 11, 13, 13, 11, 7, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 7, 9, 8, 7, 4, 2, 1, 1, 3, 5, 9, 12, 16, 19, 18, 12, 2, 0, 0, 29, 93, 193, 315, 435, 526, 562, 536, 453, 335, 211, 106, 34, 0, 0, 0, 14, 26, 29, 20, 3, 0, 0, 50, 165, 341, 555, 762, 911, 960, 895, 734, 520, 306, 138, 34, 0, 0, 6, 17, 19, 13, 7, 5, 8, 12, 15, 16, 14, 11, 11, 13, 16, 19, 20, 19, 17, 16, 15, 16, 17, 18, 17, 15, 15, 17, 21, 23, 19, 7, 0, 0, 28, 115, 257, 438, 620, 759, 815, 772, 641, 459, 274, 124, 31, 0, 0, 5, 16, 18, 13, 7, 3, 5, 8, 11, 11, 9, 6, 4, 4, 6, 8, 10, 11, 10, 9, 7, 6, 6, 7, 8, 11, 13, 14, 15, 15, 14, 13, 12, 12, 12, 12, 11, 11, 10, 12, 15, 18, 17, 10, 0, 0, 7, 58, 153, 288, 440, 575, 659, 669, 600, 473, 321, 179, 73, 12, 0, 0, 7, 17, 22, 21, 15, 5, 0, 0, 13, 65, 156, 276, 404, 508, 561, 548, 471, 353, 224, 114, 38, 0, 0, 0, 6, 13, 15, 11, 1, 0, 0, 20, 88, 202, 350, 506, 631, 691, 668, 570, 423, 264, 130, 41, 0, 0, 0, 9, 11, 7, 1, 0, 0, 0, 1, 3, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 9, 14, 17, 19, 18, 16, 13, 10, 8, 9, 10, 12, 13, 15, 17, 20, 23, 23, 17, 6, 0, 0, 33, 113, 239, 396, 554, 671, 715, 670, 544, 372, 200, 77, 36, 84, 203, 354, 491, 573, 579, 511, 392, 256, 135, 50, 5, 0, 0, 9, 13, 12, 9, 8, 11, 16, 22, 26, 26, 24, 20, 19, 21, 25, 30, 29, 20, 3, 0, 0, 50, 155, 312, 497, 670, 786, 812, 740, 591, 404, 226, 92, 15, 0, 0, 9, 19, 18, 11, 4, 2, 4, 9, 15, 18, 20, 19, 18, 19, 22, 24, 22, 13, 1, 0, 0, 40, 121, 239, 374, 495, 570, 575, 510, 394, 257, 134, 47, 2, 0, 0, 8, 11, 7, 1, 0, 0, 0, 4, 7, 8, 8, 9, 11, 14, 18, 22, 24, 25, 25, 24, 22, 20, 17, 14, 14, 17, 22, 25, 21, 9, 0, 0, 23, 99, 227, 392, 562, 696, 757, 730, 621, 460, 288, 141, 42, 0, 0, 3, 22, 34, 32, 18, 0, 0, 12, 84, 217, 403, 614, 803, 921, 932, 826, 627, 390, 184, 72, 89, 235, 468, 719, 913, 996, 945, 782, 556, 327, 145, 35, 0, 0, 11, 27, 32, 29, 23, 20, 21, 22, 23, 22, 20, 17, 17, 17, 19, 21, 21, 20, 17, 14, 11, 9, 7, 6, 5, 6, 6, 8, 10, 11, 11, 10, 8, 5, 2, 1, 2, 5, 9, 13, 15, 14, 11, 9, 7, 8, 11, 14, 17, 17, 17, 18, 19, 20, 17, 10, 0, 0, 12, 66, 165, 304, 458, 592, 669, 664, 571, 414, 234, 83, 7, 32, 157, 351, 562, 735, 822, 800, 675, 483, 274, 104, 12, 18, 112, 264, 427, 555, 614, 587, 482, 327, 166, 45, 0, 46, 176, 356, 538, 672, 722, 678, 556, 393, 231, 103, 26, 0, 0, 2, 11, 15, 14, 9, 1, 0, 0, 11, 63, 156, 281, 417, 529, 585, 568, 482, 352, 214, 99, 26, 0, 0, 2, 11, 12, 6, 0, 0, 0, 0, 4, 7, 7, 6, 4, 4, 7, 11, 15, 14, 6, 0, 0, 15, 78, 184, 321, 460, 565, 605, 567, 463, 323, 184, 77, 14, 0, 0, 6, 12, 11, 4, 0, 0, 0, 1, 4, 5, 5, 3, 2, 1, 1, 1, 4, 7, 12, 17, 21, 23, 22, 20, 20, 22, 24, 24, 17, 3, 0, 1, 54, 168, 342, 553, 758, 906, 953, 882, 707, 474, 246, 83, 26, 83, 229, 415, 582, 679, 678, 582, 422, 246, 106, 42, 70, 174, 321, 460, 549, 562, 499, 382, 246, 125, 42, 1, 0, 0, 9, 12, 8, 2, 0, 0, 0, 0, 2, 2, 2, 3, 6, 9, 12, 13, 11, 8, 4, 2, 1, 2, 4, 6, 7, 6, 5, 3, 1, 0, 0, 0, 0, 2, 4, 5, 6, 6, 5, 3, 2, 0, 0, 0, 0, 1, 4, 8, 11, 12, 12, 9, 6, 2, 0, 0, 0, 4, 8, 12, 15, 17, 18, 17, 16, 14, 13, 11, 9, 6, 2, 0, 0, 5, 11, 16, 12, 1, 0, 0, 40, 133, 274, 440, 592, 690, 703, 627, 485, 316, 163, 56, 1, 0, 0, 11, 16, 12, 4, 0, 0, 0, 1, 3, 3, 3, 3, 4, 7, 11, 14, 16, 16, 15, 14, 12, 11, 11, 13, 16, 19, 22, 24, 25, 25, 24, 22, 20, 17, 14, 11, 9, 8, 8, 10, 12, 14, 15, 15, 12, 9, 5, 3, 4, 8, 14, 19, 18, 11, 0, 0, 3, 44, 120, 224, 333, 421, 463, 445, 374, 271, 162, 73, 17, 0, 0, 5, 14, 17, 14, 8, 3, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 3, 5, 8, 10, 12, 13, 12, 9, 6, 4, 1, 0, 0, 0, 0, 1, 3, 5, 7, 9, 9, 8, 6, 4, 4, 4, 6, 8, 11, 13, 16, 17, 16, 13, 8, 3, 1, 3, 10, 16, 17, 9, 0, 0, 18, 98, 239, 423, 612, 758, 817, 773, 638, 451, 262, 113, 24, 0, 0, 8, 19, 21, 16, 11, 9, 11, 14, 16, 15, 13, 10, 10, 12, 14, 17, 17, 15, 12, 7, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 8, 11, 14, 17, 22, 27, 31, 34, 36, 36, 35, 34, 31, 27, 23, 21, 22, 27, 33, 33, 21, 0, 0, 0, 73, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 221, 434, 676, 889, 1015, 1016, 892, 678, 434, 219, 71, 0, 0, 0, 20, 29, 26, 18, 11, 9, 10, 12, 12, 11, 9, 8, 8, 8, 8, 7, 5, 2, 0, 0, 0, 0, 3, 5, 7, 8, 8, 6, 3, 1, 0, 0, 1, 3, 4, 4, 4, 5, 8, 13, 16, 15, 8, 0, 0, 10, 61, 149, 264, 384, 477, 516, 490, 407, 290, 171, 75, 17, 0, 0, 4, 10, 10, 5, 0, 0, 0, 0, 4, 8, 12, 15, 16, 17, 15, 12, 8, 4, 1, 0, 0, 0, 3, 6, 9, 11, 12, 11, 9, 6, 3, 1, 0, 0, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 7, 8, 7, 5, 4, 6, 11, 15, 14, 5, 0, 0, 22, 97, 219, 372, 522, 628, 660, 607, 485, 330, 181, 70, 9, 0, 0, 8, 13, 10, 3, 0, 0, 8, 19, 28, 32, 33, 32, 34, 37, 40, 36, 21, 0, 0, 12, 99, 259, 481, 724, 930, 1040, 1019, 867, 621, 347, 118, 0, 0, 121, 323, 541, 709, 783, 747, 619, 440, 259, 115, 27, 0, 0, 9, 21, 24, 21, 16, 13, 14, 17, 22, 25, 26, 24, 19, 14, 10, 9, 12, 15, 14, 6, 0, 0, 24, 98, 224, 385, 550, 674, 720, 668, 529, 341, 159, 37, 14, 97, 261, 457, 625, 717, 711, 612, 455, 284, 139, 43, 0, 0, 0, 13, 21, 21, 11, 0, 0, 0, 42, 135, 273, 431, 573, 658, 660, 577, 436, 275, 134, 40, 0, 0, 2, 14, 17, 12, 4, 0, 0, 0, 1, 3, 3, 1, 1, 1, 4, 7, 11, 13, 13, 11, 8, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 2, 0, 0, 0, 0, 7, 12, 11, 3, 0, 0, 24, 95, 208, 346, 476, 562, 578, 518, 401, 261, 134, 44, 0, 0, 0, 10, 13, 9, 2, 0, 0, 0, 4, 7, 7, 5, 3, 3, 6, 11, 15, 13, 5, 0, 0, 22, 90, 200, 337, 471, 568, 599, 556, 451, 314, 180, 76, 15, 0, 0, 5, 13, 15, 12, 9, 7, 7, 8, 9, 8, 7, 7, 8, 11, 15, 19, 22, 25, 26, 26, 24, 21, 17, 15, 15, 19, 25, 27, 21, 6, 0, 0, 37, 135, 287, 470, 641, 755, 777, 701, 548, 363, 192, 69, 4, 0, 0, 11, 17, 14, 7, 0, 0, 2, 5, 7, 7, 6, 5, 5, 5, 5, 5, 3, 1, 0, 0, 0, 1, 3, 4, 3, 1, 0, 2, 7, 13, 15, 10, 0, 0, 0, 41, 126, 249, 387, 507, 575, 571, 494, 369, 230, 111, 32, 0, 0, 1, 11, 12, 8, 1, 0, 0, 0, 2, 6, 8, 9, 10, 9, 7, 5, 2, 0, 0, 1, 3, 5, 6, 7, 7, 9, 13, 17, 19, 13, 2, 0, 0, 35, 118, 244, 393, 531, 619, 633, 567, 441, 290, 152, 53, 2, 0, 0, 10, 16, 14, 9, 7, 10, 18, 26, 31, 31, 28, 25, 24, 26, 26, 20, 7, 0, 0, 36, 129, 278, 463, 645, 774, 812, 740, 574, 357, 149, 12, 0, 86, 285, 534, 764, 914, 943, 843, 643, 399, 174, 25, 0, 52, 205, 396, 570, 677, 687, 598, 436, 246, 85, 0, 13, 119, 284, 456, 584, 631, 586, 470, 319, 175, 67, 8, 0, 0, 9, 15, 12, 5, 0, 0, 0, 0, 3, 4, 4, 3, 2, 1, 1, 1, 2, 3, 4, 4, 4, 5, 8, 14, 21, 26, 22, 8, 0, 0, 27, 119, 268, 453, 630, 752, 782, 710, 558, 370, 196, 70, 3, 0, 0, 12, 19, 17, 11, 8, 10, 15, 19, 19, 15, 9, 4, 1, 3, 7, 10, 12, 11, 8, 5, 3, 2, 2, 3, 4, 4, 6, 9, 13, 16, 14, 7, 0, 0, 11, 63, 152, 268, 384, 470, 500, 466, 376, 258, 143, 56, 6, 0, 0, 9, 17, 19, 16, 10, 6, 4, 4, 5, 7, 11, 15, 20, 22, 21, 17, 12, 7, 4, 5, 10, 17, 23, 26, 26, 26, 27, 28, 29, 23, 11, 0, 0, 15, 83, 200, 353, 510, 631, 682, 649, 542, 392, 237, 110, 28, 0, 0, 0, 17, 27, 24, 9, 0, 0, 24, 127, 303, 533, 771, 955, 1032, 972, 788, 529, 268, 75, 0, 52, 205, 402, 578, 679, 679, 586, 434, 267, 128, 37, 0, 0, 5, 17, 21, 19, 15, 13, 13, 14, 14, 11, 7, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 9, 13, 14, 14, 13, 13, 13, 14, 14, 11, 7, 2, 1, 5, 12, 17, 14, 2, 0, 0, 45, 153, 315, 505, 674, 775, 777, 678, 509, 319, 153, 43, 0, 0, 4, 19, 23, 16, 7, 2, 3, 8, 14, 16, 15, 12, 12, 16, 21, 22, 14, 0, 0, 1, 63, 182, 349, 530, 679, 751, 725, 609, 437, 257, 112, 23, 0, 0, 8, 19, 20, 13, 3, 0, 0, 0, 0, 4, 8, 12, 16, 18, 19, 16, 11, 5, 1, 0, 2, 8, 14, 19, 24, 28, 31, 33, 31, 21, 5, 0, 0, 35, 127, 269, 438, 596, 700, 718, 646, 504, 332, 174, 61, 2, 0, 0, 12, 17, 12, 4, 0, 0, 5, 14, 21, 25, 26, 29, 34, 40, 42, 31, 7, 0, 0, 58, 210, 442, 716, 968, 1125, 1141, 1010, 772, 495, 248, 79, 0, 0, 0, 21, 27, 19, 7, 0, 0, 8, 16, 22, 21, 17, 12, 11, 14, 22, 30, 30, 18, 0, 0, 1, 69, 197, 375, 564, 716, 786, 751, 623, 440, 253, 106, 19, 0, 0, 8, 18, 16, 7, 0, 0, 0, 0, 3, 5, 4, 4, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 5, 8, 13, 16, 18, 18, 16, 12, 7, 4, 2, 3, 5, 7, 10, 12, 13, 13, 12, 11, 10, 9, 8, 7, 6, 6, 6, 7, 9, 11, 13, 13, 13, 11, 9, 6, 5, 5, 6, 9, 12, 14, 15, 14, 13, 10, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 10, 14, 17, 18, 17, 14, 10, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 8, 12, 15, 17, 17, 16, 14, 11, 9, 8, 7, 7, 7, 7, 7, 6, 5, 5, 5, 6, 9, 12, 16, 20, 23, 24, 22, 18, 15, 12, 13, 16, 21, 26, 30, 31, 33, 36, 40, 41, 34, 17, 0, 0, 19, 113, 275, 487, 704, 871, 938, 885, 728, 513, 297, 127, 26, 0, 0, 8, 20, 22, 16, 10, 8, 10, 13, 15, 14, 13, 12, 13, 16, 17, 17, 15, 13, 12, 14, 17, 21, 23, 24, 25, 27, 31, 33, 30, 17, 0, 0, 15, 89, 223, 408, 607, 772, 853, 821, 677, 460, 234, 70, 22, 110, 312, 569, 806, 954, 973, 863, 662, 429, 222, 78, 5, 0, 0, 13, 20, 19, 16, 13, 10, 2, 0, 0, 25, 107, 247, 427, 609, 745, 795, 743, 605, 420, 238, 97, 16, 0, 0, 10, 20, 18, 9, 0, 0, 0, 4, 11, 17, 20, 20, 19, 16, 12, 9, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 3, 7, 13, 19, 22, 22, 20, 20, 22, 25, 25, 17, 1, 0, 0, 56, 181, 367, 584, 782, 906, 919, 816, 628, 407, 208, 69, 0, 0, 0, 16, 23, 18, 8, 1, 1, 5, 11, 15, 14, 12, 9, 7, 7, 9, 10, 10, 9, 6, 4, 2, 1, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 1, 4, 7, 11, 14, 16, 15, 13, 10, 8, 9, 12, 16, 19, 20, 17, 13, 10, 10, 14, 18, 16, 6, 0, 0, 26, 110, 248, 422, 595, 722, 765, 714, 582, 407, 235, 100, 18, 0, 0, 7, 22, 25, 16, 0, 0, 0, 40, 133, 269, 426, 567, 652, 657, 578, 440, 280, 140, 44, 0, 0, 0, 12, 15, 11, 3, 0, 0, 0, 1, 4, 5, 7, 9, 11, 14, 17, 18, 19, 19, 20, 20, 20, 19, 17, 14, 13, 14, 16, 15, 9, 0, 0, 3, 47, 130, 248, 376, 484, 540, 528, 451, 332, 204, 96, 26, 0, 0, 2, 10, 11, 6, 0, 0, 0, 0, 4, 8, 10, 11, 11, 9, 7, 4, 1, 0, 0, 0, 2, 5, 8, 12, 14, 14, 13, 10, 6, 3, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 8, 9, 8, 7, 5, 4, 4, 5, 7, 9, 11, 12, 13, 12, 12, 12, 13, 14, 14, 14, 12, 10, 7, 4, 2, 0, 0, 0, 0, 1, 3, 4, 6, 6, 6, 5, 3, 1, 0, 0, 0, 1, 4, 7, 10, 12, 12, 10, 7, 4, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 3, 6, 9, 12, 15, 17, 18, 19, 21, 24, 28, 31, 32, 29, 24, 18, 16, 17, 20, 20, 13, 0, 0, 0, 47, 142, 280, 437, 576, 660, 665, 589, 455, 297, 154, 51, 0, 0, 0, 20, 29, 21, 0, 0, 0, 76, 223, 432, 665, 869, 988, 988, 869, 665, 431, 222, 76, 2, 0, 0, 16, 25, 23, 15, 9, 8, 13, 18, 22, 23, 22, 21, 19, 17, 16, 14, 12, 10, 9, 8, 9, 10, 12, 14, 14, 13, 11, 8, 5, 2, 0, 0, 0, 0, 3, 7, 12, 17, 19, 19, 17, 15, 17, 22, 31, 39, 42, 38, 29, 20, 15, 18, 23, 23, 10, 0, 0, 30, 151, 359, 633, 916, 1136, 1229, 1169, 972, 695, 412, 185, 46, 0, 0, 10, 23, 21, 10, 1, 1, 7, 12, 8, 0, 0, 24, 100, 229, 394, 559, 680, 721, 670, 542, 375, 211, 86, 15, 0, 0, 7, 14, 12, 7, 4, 7, 14, 20, 22, 19, 14, 11, 12, 14, 12, 4, 0, 0, 25, 103, 229, 387, 542, 654, 690, 638, 514, 354, 198, 80, 13, 0, 0, 7, 14, 12, 5, 0, 0, 0, 1, 6, 9, 11, 12, 13, 15, 16, 18, 20, 21, 21, 19, 16, 12, 9, 5, 3, 1, 2, 3, 5, 7, 9, 11, 12, 11, 10, 8, 6, 5, 5, 7, 10, 15, 20, 25, 27, 27, 25, 21, 16, 12, 7, 4, 2, 1, 0, 0, 0, 0, 1, 4, 8, 11, 15, 17, 18, 19, 18, 17, 16, 14, 11, 8, 5, 2, 1, 0, 0, 0, 0, 0, 1, 3, 6, 10, 13, 14, 13, 11, 8, 6, 5, 7, 9, 12, 14, 16, 16, 16, 19, 26, 39, 55, 71, 82, 82, 71, 53, 35, 24, 22, 23, 20, 7, 0, 0, 43, 173, 389, 663, 938, 1144, 1222, 1147, 943, 666, 389, 170, 38, 0, 0, 9, 22, 21, 9, 0, 0, 0, 9, 18, 22, 21, 17, 12, 8, 6, 6, 7, 10, 13, 17, 21, 23, 23, 21, 17, 12, 7, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 7, 11, 17, 22, 25, 26, 23, 18, 12, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 5, 6, 7, 8, 10, 12, 14, 18, 21, 24, 25, 24, 22, 18, 14, 10, 8, 7, 8, 13, 20, 29, 38, 42, 41, 34, 24, 16, 15, 19, 23, 19, 4, 0, 0, 53, 190, 407, 676, 940, 1129, 1191, 1105, 897, 624, 357, 151, 30, 0, 0, 11, 23, 22, 12, 4, 4, 11, 20, 27, 28, 24, 18, 12, 9, 8, 9, 11, 14, 18, 22, 26, 28, 28, 25, 21, 16, 12, 10, 10, 12, 15, 19, 24, 29, 36, 42, 44, 43, 37, 28, 22, 19, 19, 18, 12, 0, 0, 0, 50, 153, 307, 488, 655, 764, 784, 710, 562, 381, 211, 85, 14, 0, 0, 9, 18, 20, 17, 17, 21, 29, 38, 43, 43, 37, 29, 22, 21, 23, 23, 18, 6, 0, 0, 42, 141, 301, 506, 717, 888, 971, 942, 804, 590, 357, 164, 62, 73, 189, 371, 563, 706, 756, 699, 553, 365, 195, 99, 110, 228, 418, 621, 775, 833, 781, 637, 445, 256, 110, 24, 0, 0, 8, 17, 15, 7, 0, 0, 0, 0, 3, 5, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 2, 3, 5, 6, 6, 5, 3, 2, 0, 0, 0, 0, 0, 1, 2, 4, 7, 10, 12, 14, 14, 14, 12, 10, 8, 7, 7, 9, 12, 16, 20, 25, 27, 29, 28, 25, 21, 17, 13, 11, 9, 8, 8, 7, 6, 4, 2, 0, 0, 0, 1, 2, 4, 4, 4, 3, 1, 1, 2, 7, 15, 24, 33, 38, 37, 30, 21, 14, 11, 11, 12, 8, 0, 0, 4, 54, 156, 308, 489, 662, 785, 826, 773, 640, 463, 284, 137, 41, 0, 0, 0, 12, 20, 18, 7, 0, 0, 16, 91, 225, 412, 623, 813, 934, 948, 850, 661, 431, 222, 86, 54, 125, 267, 432, 565, 630, 609, 514, 375, 230, 111, 34, 0, 0, 3, 12, 14, 13, 12, 14, 21, 29, 35, 36, 32, 27, 24, 23, 25, 23, 15, 1, 0, 8, 67, 186, 360, 567, 763, 900, 940, 868, 702, 484, 274, 125, 72, 122, 249, 407, 546, 623, 620, 541, 411, 267, 140, 50, 3, 0, 0, 13, 20, 16, 3, 0, 0, 34, 122, 259, 427, 592, 715, 761, 717, 595, 427, 257, 119, 32, 0, 0, 3, 12, 13, 7, 0, 0, 0, 0, 2, 5, 6, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 2, 3, 5, 6, 7, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 6, 12, 18, 21, 20, 15, 10, 6, 7, 9, 10, 6, 0, 0, 13, 71, 180, 331, 501, 650, 741, 747, 667, 521, 350, 192, 76, 12, 0, 0, 7, 12, 10, 3, 0, 0, 0, 2, 5, 5, 4, 2, 0, 0, 0, 0, 0, 0, 1, 3, 6, 9, 11, 15, 18, 23, 29, 35, 39, 39, 34, 25, 16, 10, 9, 11, 13, 9, 0, 0, 9, 67, 185, 365, 586, 808, 979, 1055, 1014, 865, 646, 411, 209, 71, 3, 0, 0, 12, 17, 11, 1, 0, 0, 4, 13, 20, 22, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 21, 17, 12, 8, 5, 2, 1, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 9, 12, 15, 18, 20, 19, 16, 12, 7, 3, 1, 1, 2, 5, 7, 10, 13, 15, 15, 14, 11, 7, 4, 1, 1, 2, 4, 7, 10, 10, 10, 7, 5, 2, 1, 1, 2, 4, 7, 10, 14, 18, 21, 23, 23, 21, 19, 15, 10, 7, 5, 6, 9, 14, 19, 22, 22, 18, 11, 5, 2, 3, 5, 6, 2, 0, 0, 22, 81, 182, 315, 461, 587, 661, 662, 590, 463, 313, 174, 71, 13, 0, 0, 5, 10, 8, 3, 0, 0, 0, 0, 2, 3, 3, 2, 3, 4, 7, 9, 11, 12, 11, 9, 7, 4, 2, 0, 0, 1, 4, 7, 10, 13, 15, 16, 15, 13, 10, 7, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 8, 10, 11, 10, 8, 5, 2, 0, 0, 0, 0, 2, 5, 7, 9, 9, 8, 6, 3, 1, 0, 0, 0, 1, 4, 5, 7, 7, 7, 6, 4, 2, 0, 0, 0, 0, 1, 2, 4, 5, 5, 4, 3, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 4, 6, 7, 7, 7, 6, 6, 7, 10, 14, 20, 27, 34, 39, 42, 42, 39, 33, 25, 18, 13, 12, 13, 14, 10, 2, 0, 3, 43, 131, 272, 453, 647, 811, 906, 907, 813, 650, 464, 306, 218, 217, 292, 409, 523, 592, 594, 527, 411, 277, 155, 66, 16, 0, 0, 5, 8, 6, 1, 0, 0, 0, 6, 11, 14, 15, 14, 13, 11, 9, 8, 8, 7, 6, 6, 6, 7, 9, 11, 12, 13, 14, 15, 17, 19, 22, 23, 24, 22, 19, 15, 10, 7, 4, 2, 1, 2, 4, 7, 12, 16, 20, 22, 23, 23, 23, 23, 25, 26, 28, 30, 29, 27, 23, 19, 15, 13, 13, 15, 16, 15, 11, 7, 13, 40, 98, 194, 323, 467, 602, 696, 727, 684, 574, 425, 273, 160, 115, 150, 254, 400, 546, 655, 698, 665, 566, 429, 283, 157, 66, 15, 0, 0, 3, 9, 10, 5, 0, 0, 2, 35, 102, 203, 329, 458, 565, 624, 623, 560, 451, 320, 195, 96, 33, 2, 0, 0, 5, 6, 4, 1, 1, 5, 11, 18, 24, 27, 28, 27, 26, 24, 22, 21, 20, 19, 18, 18, 19, 21, 24, 26, 25, 20, 13, 13, 30, 78, 167, 296, 453, 614, 746, 819, 812, 726, 582, 416, 274, 194, 197, 280, 415, 562, 676, 725, 695, 600, 472, 353, 281, 279, 347, 462, 587, 681, 714, 672, 565, 420, 269, 141, 54, 9, 0, 0, 6, 8, 6, 1, 0, 0, 0, 2, 3, 3, 2, 0, 0, 0, 1, 3, 6, 7, 8, 7, 6, 4, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 4, 7, 10, 13, 16, 19, 21, 21, 21, 19, 15, 11, 7, 4, 1, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 9, 10, 9, 8, 7, 5, 5, 4, 4, 4, 4, 4, 5, 5, 7, 9, 11, 13, 14, 15, 14, 11, 9, 6, 3, 1, 0, 0, 0, 0, 2, 3, 5, 5, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 4, 6, 8, 9, 12, 15, 18, 20, 20, 19, 17, 13, 9, 5, 2, 0, 0, 0, 0, 1, 3, 4, 4, 4, 3, 2, 0, 0, 0, 0, 0, 0, 0, 2, 3, 5, 6, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 8, 11, 13, 14, 15, 15, 15, 13, 12, 9, 6, 4, 3, 2, 2, 3, 3, 2, 0, 2, 11, 32, 73, 135, 217, 313, 409, 490, 541, 549, 512, 437, 336, 230, 136, 66, 23, 3, 0, 0, 0, 5, 24, 64, 135, 234, 353, 476, 582, 652, 672, 637, 554, 438, 310, 193, 101, 40, 7, 0, 0, 13, 45, 100, 181, 283, 394, 496, 570, 600, 581, 516, 418, 306, 198, 109, 48, 13, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 3, 6, 9, 14, 18, 21, 21, 19, 14, 9, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 5, 8, 11, 15, 17, 18, 17, 15, 11, 8, 5, 3, 2, 1, 0, 0, 0, 1, 4, 6, 9, 10, 11, 11, 10, 10, 9, 9, 9, 8, 6, 5, 3, 3, 3, 4, 5, 5, 4, 5, 11, 27, 56, 99, 156, 221, 287, 343, 382, 396, 383, 345, 287, 219, 151, 91, 46, 17, 3, 0, 0, 1, 2, 4, 6, 9, 12, 16, 18, 19, 18, 16, 13, 10, 8, 5, 4, 3, 4, 4, 5, 5, 4, 3, 4, 7, 18, 41, 79, 135, 209, 296, 388, 474, 540, 576, 575, 535, 464, 371, 271, 178, 101, 47, 15, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 6, 9, 13, 15, 17, 17, 15, 12, 9, 5, 2, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 6, 8, 9, 11, 13, 16, 18, 20, 21, 22, 21, 20, 19, 18, 17, 17, 17, 17, 18, 17, 18, 19, 21, 23, 25, 26, 24, 21, 19, 19, 26, 43, 75, 124, 190, 273, 365, 460, 546, 612, 650, 654, 628, 578, 517, 460, 420, 404, 412, 438, 469, 494, 503, 492, 467, 436, 407, 390, 385, 392, 401, 407, 402, 382, 347, 300, 246, 188, 133, 85, 47, 21, 6, 0, 0, 0, 1, 0, 0, 0, 0, 2, 5, 9, 13, 16, 17, 17, 17, 17, 18, 19, 21, 22, 23, 23, 23, 21, 19, 17, 16, 15, 15, 15, 14, 14, 13, 12, 11, 11, 12, 17, 27, 44, 71, 110, 160, 220, 285, 351, 412, 461, 494, 510, 508, 492, 468, 443, 423, 411, 408, 411, 414, 412, 399, 372, 331, 279, 221, 163, 111, 68, 36, 16, 5, 0, 0, 0, 0, 0, 1, 2, 4, 7, 10, 13, 15, 16, 16, 17, 18, 19, 20, 22, 24, 25, 26, 27, 27, 25, 24, 21, 19, 17, 17, 18, 20, 24, 27, 30, 32, 33, 34, 35, 37, 42, 48, 57, 70, 88, 111, 142, 179, 220, 263, 304, 340, 369, 392, 410, 426, 443, 462, 484, 508, 533, 555, 571, 577, 572, 555, 526, 490, 451, 414, 382, 357, 338, 323, 307, 289, 267, 241, 211, 179, 146, 114, 85, 60, 39, 24, 13, 6, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 4, 5, 8, 12, 20, 31, 45, 62, 83, 109, 138, 170, 205, 240, 272, 299, 317, 324, 321, 308, 287, 261, 230, 197, 163, 128, 96, 66, 42, 24, 11, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 3, 4, 5, 4, 4, 3, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 4, 5, 5, 5, 4, 2, 2, 2, 4, 7, 11, 14, 16, 18, 18, 19, 21, 25, 32, 40, 50, 59, 68, 76, 84, 92, 102, 113, 126, 140, 153, 165, 176, 185, 195, 205, 216, 227, 237, 244, 248, 248, 247, 246, 244, 240, 233, 221, 207, 195, 187, 182, 179],
"basecallPos": [2661, 2675, 2686, 2699, 2713, 2727, 2740, 2751, 2764, 2777, 2791, 2802, 2819, 2829, 2843, 2854, 2870, 2883, 2895, 2908, 2921, 2932, 2944, 2960, 2970, 2982, 2997, 3011, 3023, 3038, 3047, 3060, 3073, 3086, 3098, 3111, 3125, 3138, 3150, 3162, 3174, 3184, 3197, 3211, 3222, 3237, 3248, 3263, 3275, 3288, 3299, 3313, 3326, 3337, 3351, 3364, 3377, 3389, 3401, 3416, 3428, 3442, 3455, 3466, 3480, 3491, 3503, 3515, 3528, 3541, 3553, 3564, 3578, 3591, 3603, 3615, 3629, 3641, 3654, 3666, 3680, 3692, 3704, 3716, 3729, 3741, 3753, 3767, 3779, 3792, 3805, 3819, 3831, 3845, 3857, 3869, 3880, 3893, 3905, 3916, 3929, 3942, 3955, 3968, 3979, 3992, 4005, 4017, 4030, 4042, 4055, 4067, 4081, 4092, 4106, 4118, 4130, 4142, 4156, 4169, 4181, 4193, 4204, 4218, 4231, 4243, 4256, 4269, 4282, 4295, 4306, 4318, 4331, 4344, 4355, 4368, 4381, 4392, 4404, 4416, 4429, 4441, 4452, 4464, 4476, 4489, 4501, 4514, 4526, 4540, 4552, 4564, 4577, 4590, 4603, 4615, 4627, 4639, 4651, 4663, 4675, 4688, 4700, 4712, 4725, 4736, 4749, 4762, 4774, 4786, 4797, 4810, 4823, 4836, 4848, 4859, 4871, 4884, 4896, 4909, 4922, 4934, 4946, 4958, 4970, 4982, 4993, 5006, 5017, 5030, 5043, 5055, 5068, 5080, 5093, 5105, 5118, 5130, 5143, 5155, 5167, 5179, 5191, 5204, 5217, 5230, 5242, 5255, 5268, 5281, 5293, 5305, 5316, 5328, 5340, 5352, 5364, 5377, 5390, 5403, 5415, 5427, 5439, 5450, 5462, 5474, 5487, 5499, 5512, 5524, 5535, 5547, 5559, 5572, 5584, 5595, 5607, 5620, 5633, 5645, 5658, 5671, 5682, 5694, 5706, 5719, 5731, 5742, 5754, 5766, 5779, 5791, 5804, 5816, 5827, 5839, 5852, 5864, 5876, 5889, 5901, 5914, 5926, 5939, 5951, 5964, 5975, 5988, 6000, 6013, 6024, 6035, 6048, 6060, 6071, 6084, 6097, 6109, 6122, 6133, 6145, 6156, 6169, 6181, 6194, 6206, 6219, 6231, 6243, 6255, 6267, 6278, 6291, 6303, 6316, 6328, 6339, 6352, 6364, 6377, 6388, 6400, 6413, 6425, 6437, 6449, 6462, 6474, 6486, 6498, 6510, 6521, 6534, 6545, 6557, 6570, 6581, 6594, 6606, 6618, 6631, 6643, 6656, 6668, 6680, 6691, 6703, 6716, 6728, 6741, 6754, 6766, 6778, 6789, 6801, 6814, 6826, 6838, 6849, 6861, 6874, 6885, 6898, 6911, 6923, 6935, 6948, 6960, 6971, 6983, 6996, 7008, 7020, 7030, 7042, 7055, 7066, 7079, 7092, 7105, 7117, 7128, 7141, 7153, 7164, 7175, 7187, 7201, 7213, 7226, 7238, 7249, 7262, 7274, 7286, 7298, 7310, 7321, 7333, 7344, 7355, 7367, 7379, 7391, 7403, 7416, 7429, 7441, 7453, 7465, 7478, 7490, 7502, 7514, 7526, 7539, 7550, 7561, 7575, 7587, 7599, 7612, 7623, 7635, 7646, 7657, 7670, 7682, 7694, 7705, 7717, 7729, 7741, 7753, 7766, 7778, 7790, 7801, 7813, 7825, 7837, 7850, 7862, 7874, 7884, 7897, 7909, 7921, 7934, 7946, 7958, 7970, 7981, 7993, 8005, 8018, 8030, 8042, 8053, 8065, 8078, 8091, 8103, 8115, 8126, 8140, 8152, 8165, 8176, 8188, 8199, 8211, 8223, 8234, 8246, 8257, 8269, 8282, 8294, 8307, 8318, 8330, 8341, 8353, 8365, 8377, 8389, 8401, 8413, 8425, 8437, 8449, 8462, 8474, 8486, 8498, 8511, 8523, 8535, 8547, 8560, 8571, 8583, 8594, 8607, 8619, 8632, 8643, 8654, 8667, 8679, 8692, 8705, 8716, 8728, 8739, 8751, 8762, 8774, 8786, 8798, 8810, 8822, 8834, 8845, 8857, 8870, 8881, 8894, 8906, 8917, 8929, 8942, 8953, 8965, 8976, 8987, 8999, 9012, 9024, 9037, 9048, 9060, 9072, 9084, 9096, 9107, 9119, 9130, 9143, 9155, 9166, 9178, 9190, 9202, 9213, 9225, 9236, 9247, 9260, 9272, 9284, 9297, 9309, 9320, 9331, 9342, 9355, 9367, 9379, 9391, 9402, 9415, 9427, 9440, 9451, 9463, 9474, 9487, 9499, 9511, 9523, 9534, 9547, 9559, 9571, 9583, 9595, 9607, 9619, 9631, 9643, 9654, 9666, 9679, 9691, 9703, 9715, 9727, 9738, 9750, 9761, 9773, 9786, 9798, 9810, 9821, 9832, 9844, 9855, 9868, 9881, 9893, 9904, 9915, 9927, 9939, 9950, 9962, 9974, 9986, 9998, 10011, 10022, 10035, 10046, 10058, 10071, 10083, 10093, 10106, 10117, 10129, 10141, 10152, 10162, 10174, 10186, 10197, 10209, 10221, 10234, 10246, 10257, 10270, 10282, 10294, 10305, 10316, 10328, 10340, 10353, 10365, 10377, 10390, 10400, 10412, 10423, 10434, 10447, 10459, 10471, 10481, 10494, 10505, 10517, 10530, 10540, 10551, 10563, 10574, 10586, 10599, 10611, 10623, 10636, 10648, 10659, 10672, 10684, 10695, 10707, 10719, 10731, 10742, 10754, 10766, 10778, 10790, 10801, 10813, 10825, 10837, 10848, 10861, 10873, 10885, 10898, 10911, 10922, 10933, 10944, 10955, 10967, 10979, 10990, 11000, 11012, 11024, 11036, 11047, 11060, 11072, 11084, 11096, 11109, 11121, 11133, 11145, 11155, 11166, 11179, 11191, 11203, 11215, 11227, 11238, 11251, 11264, 11275, 11287, 11297, 11308, 11320, 11332, 11345, 11357, 11369, 11381, 11393, 11404, 11417, 11427, 11440, 11453, 11465, 11478, 11490, 11502, 11514, 11526, 11539, 11551, 11561, 11574, 11587, 11600, 11613, 11624, 11635, 11647, 11659, 11671, 11682, 11692, 11703, 11715, 11728, 11742, 11755, 11767, 11780, 11792, 11802, 11815, 11826, 11836, 11849, 11861, 11872, 11883, 11894, 11905, 11918, 11930, 11943, 11956, 11968, 11978, 11989, 12001, 12013, 12024, 12037, 12049, 12061, 12073, 12084, 12097, 12109, 12122, 12135, 12147, 12159, 12169, 12180, 12193, 12206, 12218, 12229, 12242, 12254, 12267, 12280, 12292, 12304, 12316, 12328, 12339, 12349, 12362, 12373, 12386, 12399, 12411, 12424, 12436, 12447, 12459, 12469, 12481, 12494, 12505, 12517, 12528, 12537, 12548, 12559, 12570, 12583, 12593, 12606, 12620, 12632, 12643, 12656, 12669, 12681, 12694, 12707, 12720, 12734, 12748, 12758, 12769, 12778, 12788, 12799, 12812, 12824, 12837, 12849, 12863, 12875, 12889, 12898, 12910],
"basecalls": {"2661":"1:G", "2675":"2:C", "2686":"3:C", "2699":"4:C", "2713":"5:A", "2727":"6:G", "2740":"7:C", "2751":"8:C", "2764":"9:C", "2777":"10:A", "2791":"11:C", "2802":"12:T", "2819":"13:C", "2829":"14:C", "2843":"15:A", "2854":"16:A", "2870":"17:G", "2883":"18:G", "2895":"19:A", "2908":"20:G", "2921":"21:A", "2932":"22:T", "2944":"23:A", "2960":"24:C", "2970":"25:C", "2982":"26:C", "2997":"27:G", "3011":"28:C", "3023":"29:A", "3038":"30:T", "3047":"31:T", "3060":"32:G", "3073":"33:A", "3086":"34:C", "3098":"35:A", "3111":"36:G", "3125":"37:C", "3138":"38:T", "3150":"39:G", "3162":"40:T", "3174":"41:G", "3184":"42:G", "3197":"43:A", "3211":"44:G", "3222":"45:A", "3237":"46:C", "3248":"47:A", "3263":"48:G", "3275":"49:G", "3288":"50:G", "3299":"51:G", "3313":"52:C", "3326":"53:T", "3337":"54:A", "3351":"55:C", "3364":"56:C", "3377":"57:A", "3389":"58:A", "3401":"59:T", "3416":"60:C", "3428":"61:C", "3442":"62:G", "3455":"63:T", "3466":"64:T", "3480":"65:G", "3491":"66:G", "3503":"67:T", "3515":"68:G", "3528":"69:C", "3541":"70:C", "3553":"71:T", "3564":"72:T", "3578":"73:C", "3591":"74:G", "3603":"75:G", "3615":"76:A", "3629":"77:C", "3641":"78:A", "3654":"79:C", "3666":"80:C", "3680":"81:G", "3692":"82:T", "3704":"83:G", "3716":"84:C", "3729":"85:A", "3741":"86:A", "3753":"87:A", "3767":"88:C", "3779":"89:G", "3792":"90:C", "3805":"91:G", "3819":"92:C", "3831":"93:C", "3845":"94:A", "3857":"95:T", "3869":"96:G", "3880":"97:T", "3893":"98:C", "3905":"99:A", "3916":"100:T", "3929":"101:C", "3942":"102:C", "3955":"103:A", "3968":"104:G", "3979":"105:A", "3992":"106:G", "4005":"107:A", "4017":"108:C", "4030":"109:G", "4042":"110:A", "4055":"111:A", "4067":"112:C", "4081":"113:G", "4092":"114:C", "4106":"115:G", "4118":"116:A", "4130":"117:T", "4142":"118:C", "4156":"119:A", "4169":"120:G", "4181":"121:A", "4193":"122:A", "4204":"123:T", "4218":"124:C", "4231":"125:C", "4243":"126:A", "4256":"127:C", "4269":"128:A", "4282":"129:G", "4295":"130:T", "4306":"131:T", "4318":"132:G", "4331":"133:A", "4344":"134:G", "4355":"135:T", "4368":"136:C", "4381":"137:A", "4392":"138:T", "4404":"139:T", "4416":"140:C", "4429":"141:T", "4441":"142:T", "4452":"143:T", "4464":"144:G", "4476":"145:C", "4489":"146:A", "4501":"147:A", "4514":"148:G", "4526":"149:A", "4540":"150:G", "4552":"151:G", "4564":"152:G", "4577":"153:G", "4590":"154:C", "4603":"155:T", "4615":"156:T", "4627":"157:G", "4639":"158:T", "4651":"159:G", "4663":"160:T", "4675":"161:G", "4688":"162:G", "4700":"163:C", "4712":"164:T", "4725":"165:A", "4736":"166:T", "4749":"167:C", "4762":"168:A", "4774":"169:T", "4786":"170:T", "4797":"171:G", "4810":"172:A", "4823":"173:G", "4836":"174:G", "4848":"175:T", "4859":"176:G", "4871":"177:G", "4884":"178:A", "4896":"179:C", "4909":"180:A", "4922":"181:A", "4934":"182:T", "4946":"183:G", "4958":"184:A", "4970":"185:T", "4982":"186:G", "4993":"187:C", "5006":"188:A", "5017":"189:C", "5030":"190:C", "5043":"191:G", "5055":"192:A", "5068":"193:C", "5080":"194:A", "5093":"195:A", "5105":"196:A", "5118":"197:G", "5130":"198:C", "5143":"199:G", "5155":"200:C", "5167":"201:A", "5179":"202:C", "5191":"-", "5204":"203:C", "5217":"204:A", "5230":"205:G", "5242":"206:C", "5255":"207:A", "5268":"208:G", "5281":"209:A", "5293":"210:T", "5305":"211:T", "5316":"212:G", "5328":"213:T", "5340":"214:T", "5352":"215:T", "5364":"216:T", "5377":"217:C", "5390":"218:G", "5403":"219:G", "5415":"220:T", "5427":"221:T", "5439":"222:T", "5450":"223:G", "5462":"224:G", "5474":"225:A", "5487":"226:A", "5499":"227:A", "5512":"228:A", "5524":"229:T", "5535":"230:A", "5547":"231:A", "5559":"232:C", "5572":"233:T", "5584":"234:T", "5595":"235:A", "5607":"236:C", "5620":"237:A", "5633":"238:A", "5645":"239:A", "5658":"240:G", "5671":"241:A", "5682":"242:T", "5694":"243:A", "5706":"244:C", "5719":"245:T", "5731":"246:G", "5742":"247:T", "5754":"248:T", "5766":"249:C", "5779":"250:A", "5791":"251:A", "5804":"252:C", "5816":"253:T", "5827":"254:G", "5839":"255:A", "5852":"256:G", "5864":"257:A", "5876":"258:C", "5889":"259:G", "5901":"260:C", "5914":"261:A", "5926":"262:A", "5939":"263:G", "5951":"264:C", "5964":"265:T", "5975":"266:G", "5988":"267:G", "6000":"268:A", "6013":"269:A", "6024":"270:T", "6035":"271:T", "6048":"272:T", "6060":"273:T", "6071":"274:T", "6084":"275:C", "6097":"276:A", "6109":"277:C", "6122":"278:A", "6133":"279:T", "6145":"280:A", "6156":"281:T", "6169":"282:T", "6181":"283:C", "6194":"284:G", "6206":"285:A", "6219":"286:G", "6231":"287:A", "6243":"288:T", "6255":"289:T", "6267":"290:T", "6278":"291:G", "6291":"292:A", "6303":"293:C", "6316":"294:A", "6328":"295:T", "6339":"296:G", "6352":"297:G", "6364":"298:A", "6377":"299:G", "6388":"300:T", "6400":"301:T", "6413":"302:C", "6425":"303:A", "6437":"304:C", "6449":"305:T", "6462":"306:T", "6474":"307:T", "6486":"308:T", "6498":"309:G", "6510":"310:T", "6521":"311:A", "6534":"312:G", "6545":"313:T", "6557":"314:C", "6570":"315:A", "6581":"316:C", "6594":"317:C", "6606":"318:T", "6618":"319:C", "6631":"320:A", "6643":"321:A", "6656":"322:A", "6668":"323:C", "6680":"324:T", "6691":"325:A", "6703":"326:C", "6716":"327:A", "6728":"328:C", "6741":"329:C", "6754":"330:G", "6766":"331:A", "6778":"332:T", "6789":"333:G", "6801":"334:C", "6814":"335:A", "6826":"336:A", "6838":"337:A", "6849":"338:T", "6861":"339:A", "6874":"340:A", "6885":"341:C", "6898":"342:G", "6911":"343:G", "6923":"344:A", "6935":"345:C", "6948":"346:A", "6960":"347:T", "6971":"348:G", "6983":"349:C", "6996":"350:A", "7008":"351:T", "7020":"352:T", "7030":"353:G", "7042":"354:A", "7055":"355:A", "7066":"356:C", "7079":"357:C", "7092":"358:A", "7105":"359:A", "7117":"360:G", "7128":"361:T", "7141":"362:T", "7153":"363:T", "7164":"364:A", "7175":"365:T", "7187":"366:C", "7201":"367:A", "7213":"368:G", "7226":"369:A", "7238":"370:T", "7249":"371:A", "7262":"372:A", "7274":"373:T", "7286":"374:G", "7298":"375:T", "7310":"376:A", "7321":"377:T", "7333":"378:A", "7344":"379:T", "7355":"380:A", "7367":"381:C", "7379":"382:C", "7391":"383:A", "7403":"384:C", "7416":"385:C", "7429":"386:C", "7441":"387:G", "7453":"388:G", "7465":"389:A", "7478":"390:G", "7490":"391:C", "7502":"392:A", "7514":"393:C", "7526":"394:C", "7539":"395:T", "7550":"396:A", "7561":"397:T", "7575":"398:C", "7587":"399:C", "7599":"400:C", "7612":"401:T", "7623":"402:G", "7635":"403:G", "7646":"404:T", "7657":"405:A", "7670":"406:A", "7682":"407:A", "7694":"408:T", "7705":"409:G", "7717":"410:G", "7729":"411:A", "7741":"412:A", "7753":"413:C", "7766":"414:G", "7778":"415:A", "7790":"416:T", "7801":"417:T", "7813":"418:A", "7825":"419:C", "7837":"420:A", "7850":"421:C", "7862":"422:G", "7874":"423:T", "7884":"424:G", "7897":"425:G", "7909":"426:C", "7921":"427:A", "7934":"428:G", "7946":"429:A", "7958":"430:C", "7970":"431:G", "7981":"432:T", "7993":"433:C", "8005":"434:C", "8018":"435:T", "8030":"436:C", "8042":"437:T", "8053":"438:A", "8065":"439:A", "8078":"440:C", "8091":"441:C", "8103":"442:C", "8115":"443:G", "8126":"444:T", "8140":"445:C", "8152":"446:G", "8165":"447:G", "8176":"448:T", "8188":"449:G", "8199":"450:T", "8211":"451:T", "8223":"452:T", "8234":"453:T", "8246":"454:A", "8257":"455:C", "8269":"456:A", "8282":"457:C", "8294":"458:C", "8307":"459:T", "8318":"460:A", "8330":"461:T", "8341":"462:G", "8353":"463:G", "8365":"464:G", "8377":"465:G", "8389":"466:C", "8401":"467:G", "8413":"468:C", "8425":"469:C", "8437":"470:C", "8449":"471:C", "8462":"472:C", "8474":"473:A", "8486":"474:G", "8498":"475:C", "8511":"476:A", "8523":"477:A", "8535":"478:G", "8547":"479:A", "8560":"480:A", "8571":"481:T", "8583":"482:A", "8594":"483:T", "8607":"484:C", "8619":"485:A", "8632":"486:G", "8643":"487:T", "8654":"488:G", "8667":"489:C", "8679":"490:C", "8692":"491:C", "8705":"492:T", "8716":"493:A", "8728":"494:T", "8739":"495:G", "8751":"496:T", "8762":"497:G", "8774":"498:G", "8786":"499:G", "8798":"500:A", "8810":"501:A", "8822":"502:T", "8834":"503:T", "8845":"504:G", "8857":"505:C", "8870":"506:T", "8881":"507:A", "8894":"508:A", "8906":"509:T", "8917":"510:G", "8929":"511:C", "8942":"512:G", "8953":"513:T", "8965":"514:A", "8976":"515:T", "8987":"516:T", "8999":"517:C", "9012":"518:C", "9024":"519:C", "9037":"520:A", "9048":"521:C", "9060":"522:T", "9072":"523:T", "9084":"524:T", "9096":"525:T", "9107":"526:A", "9119":"527:T", "9130":"528:G", "9143":"529:A", "9155":"530:T", "9166":"531:G", "9178":"532:G", "9190":"533:G", "9202":"534:T", "9213":"535:T", "9225":"536:T", "9236":"537:G", "9247":"538:C", "9260":"539:A", "9272":"540:A", "9284":"541:A", "9297":"542:A", "9309":"543:G", "9320":"544:T", "9331":"545:A", "9342":"546:C", "9355":"547:C", "9367":"548:A", "9379":"549:C", "9391":"550:T", "9402":"551:A", "9415":"552:G", "9427":"553:C", "9440":"554:G", "9451":"555:G", "9463":"556:G", "9474":"557:T", "9487":"558:C", "9499":"559:A", "9511":"560:G", "9523":"561:G", "9534":"562:C", "9547":"563:C", "9559":"-", "9571":"-", "9583":"564:T", "9595":"565:C", "9607":"566:A", "9619":"567:A", "9631":"568:C", "9643":"569:T", "9654":"570:G", "9666":"571:A", "9679":"572:A", "9691":"-", "9703":"573:G", "9715":"574:G", "9727":"575:T", "9738":"576:G", "9750":"577:A", "9761":"578:T", "9773":"579:T", "9786":"580:C", "9798":"581:G", "9810":"582:T", "9821":"583:T", "9832":"584:G", "9844":"585:T", "9855":"586:A", "9868":"587:C", "9881":"588:G", "9893":"589:G", "9904":"590:T", "9915":"591:G", "9927":"592:C", "9939":"593:T", "9950":"594:G", "9962":"595:C", "9974":"596:C", "9986":"597:T", "9998":"598:C", "10011":"599:A", "10022":"600:C", "10035":"601:T", "10046":"602:G", "10058":"603:A", "10071":"604:A", "10083":"605:T", "10093":"606:G", "10106":"607:A", "10117":"608:T", "10129":"609:T", "10141":"610:T", "10152":"611:T", "10162":"612:G", "10174":"613:G", "10186":"614:A", "10197":"615:T", "10209":"616:C", "10221":"617:A", "10234":"618:C", "10246":"619:T", "10257":"620:A", "10270":"621:G", "10282":"622:C", "10294":"623:T", "10305":"624:G", "10316":"625:T", "10328":"626:T", "10340":"627:C", "10353":"628:G", "10365":"629:C", "10377":"630:G", "10390":"631:T", "10400":"632:G", "10412":"633:G", "10423":"634:T", "10434":"635:A", "10447":"636:A", "10459":"637:A", "10471":"638:T", "10481":"639:G", "10494":"640:A", "10505":"641:T", "10517":"642:C", "10530":"643:A", "10540":"644:T", "10551":"645:A", "10563":"646:A", "10574":"647:C", "10586":"648:C", "10599":"649:C", "10611":"650:C", "10623":"651:A", "10636":"652:C", "10648":"653:G", "10659":"654:C", "10672":"655:G", "10684":"656:G", "10695":"657:C", "10707":"658:T", "10719":"659:C", "10731":"660:A", "10742":"661:C", "10754":"662:T", "10766":"663:T", "10778":"664:C", "10790":"665:T", "10801":"666:A", "10813":"667:A", "10825":"668:G", "10837":"669:A", "10848":"670:T", "10861":"671:C", "10873":"672:A", "10885":"673:G", "10898":"674:A", "10911":"675:G", "10922":"676:T", "10933":"677:G", "10944":"678:T", "10955":"679:A", "10967":"680:C", "10979":"681:A", "10990":"682:T", "11000":"683:G", "11012":"684:A", "11024":"685:A", "11036":"686:G", "11047":"687:C", "11060":"688:C", "11072":"689:A", "11084":"690:A", "11096":"691:A", "11109":"692:G", "11121":"693:C", "11133":"694:A", "11145":"695:T", "11155":"696:G", "11166":"697:T", "11179":"698:C", "11191":"699:A", "11203":"700:G", "11215":"701:A", "11227":"702:G", "11238":"703:T", "11251":"704:C", "11264":"705:T", "11275":"706:G", "11287":"707:G", "11297":"708:T", "11308":"709:G", "11320":"710:C", "11332":"711:C", "11345":"712:C", "11357":"713:A", "11369":"714:C", "11381":"715:G", "11393":"716:A", "11404":"717:C", "11417":"718:C", "11427":"719:T", "11440":"720:C", "11453":"721:C", "11465":"722:G", "11478":"723:C", "11490":"724:G", "11502":"725:G", "11514":"726:G", "11526":"727:C", "11539":"728:G", "11551":"729:G", "11561":"730:T", "11574":"731:C", "11587":"732:C", "11600":"733:C", "11613":"734:A", "11624":"735:T", "11635":"736:A", "11647":"737:C", "11659":"738:T", "11671":"739:T", "11682":"740:T", "11692":"741:G", "11703":"742:G", "11715":"743:A", "11728":"744:C", "11742":"745:C", "11755":"746:A", "11767":"747:G", "11780":"748:G", "11792":"749:T", "11802":"750:G", "11815":"751:T", "11826":"752:T", "11836":"753:G", "11849":"754:A", "11861":"755:T", "11872":"756:T", "11883":"757:A", "11894":"758:T", "11905":"759:A", "11918":"760:A", "11930":"761:A", "11943":"762:G", "11956":"763:A", "11968":"764:T", "11978":"765:G", "11989":"766:G", "12001":"767:A", "12013":"768:C", "12024":"769:T", "12037":"770:C", "12049":"-", "12061":"-", "12073":"771:A", "12084":"772:C", "12097":"773:C", "12109":"774:C", "12122":"775:C", "12135":"776:A", "12147":"777:C", "12159":"778:T", "12169":"779:A", "12180":"780:C", "12193":"781:C", "12206":"782:A", "12218":"783:G", "12229":"784:A", "12242":"785:A", "12254":"786:A", "12267":"787:A", "12280":"788:G", "12292":"789:G", "12304":"790:G", "12316":"791:G", "12328":"792:T", "12339":"793:T", "12349":"794:A", "12362":"795:A", "12373":"796:C", "12386":"797:G", "12399":"798:A", "12411":"799:C", "12424":"800:T", "12436":"801:T", "12447":"802:A", "12459":"803:T", "12469":"804:G", "12481":"805:G", "12494":"806:A", "12505":"807:T", "12517":"808:T", "12528":"809:T", "12537":"810:G", "12548":"811:G", "12559":"812:A", "12570":"813:C", "12583":"814:A", "12593":"815:C", "12606":"816:C", "12620":"817:A", "12632":"818:A", "12643":"819:A", "12656":"820:A", "12669":"821:C", "12681":"822:A", "12694":"823:A", "12707":"824:A", "12720":"825:G", "12734":"826:C", "12748":"827:T", "12758":"828:G", "12769":"829:T", "12778":"830:G", "12788":"831:T", "12799":"832:A", "12812":"833:C", "12824":"834:A", "12837":"835:C", "12849":"836:A", "12863":"837:G", "12875":"838:C", "12889":"839:T", "12898":"840:G", "12910":"841:G"}
}
, {
"traceFileName": "dataset_152162",
"leadingGaps": 2925,
"trailingGaps": 3955,
"peakA": [801, 800, 801, 809, 827, 857, 895, 934, 967, 995, 1020, 1045, 1069, 1095, 1124, 1157, 1194, 1234, 1276, 1320, 1368, 1421, 1480, 1546, 1616, 1690, 1766, 1842, 1919, 2000, 2086, 2177, 2274, 2374, 2476, 2578, 2682, 2792, 2908, 3032, 3158, 3279, 3387, 3474, 3540, 3590, 3635, 3685, 3744, 3810, 3873, 3918, 3934, 3915, 3864, 3789, 3701, 3608, 3513, 3414, 3307, 3192, 3067, 2936, 2801, 2661, 2516, 2362, 2197, 2026, 1856, 1695, 1549, 1421, 1309, 1205, 1104, 1004, 906, 813, 730, 657, 595, 539, 488, 438, 391, 349, 314, 287, 268, 254, 244, 232, 219, 202, 183, 162, 142, 122, 106, 92, 81, 73, 68, 64, 61, 60, 60, 60, 62, 65, 73, 85, 104, 128, 155, 181, 203, 219, 229, 236, 242, 250, 259, 267, 272, 272, 265, 253, 236, 217, 198, 180, 165, 152, 143, 136, 130, 124, 116, 106, 95, 83, 72, 64, 59, 56, 53, 51, 48, 44, 40, 35, 30, 24, 17, 10, 4, 1, 2, 6, 13, 22, 31, 41, 53, 70, 93, 123, 157, 195, 231, 265, 296, 323, 349, 374, 397, 416, 431, 440, 443, 442, 441, 441, 445, 451, 458, 464, 469, 473, 477, 484, 492, 500, 501, 492, 469, 431, 383, 329, 275, 226, 183, 147, 115, 86, 59, 34, 14, 2, 0, 3, 16, 34, 54, 74, 92, 110, 131, 157, 191, 233, 282, 331, 376, 410, 429, 430, 414, 384, 344, 299, 254, 211, 174, 145, 125, 117, 121, 136, 162, 196, 232, 268, 301, 327, 344, 349, 342, 322, 290, 249, 204, 159, 119, 86, 60, 39, 24, 12, 4, 0, 0, 1, 4, 5, 6, 6, 6, 7, 10, 15, 20, 24, 26, 25, 22, 19, 18, 17, 17, 16, 14, 10, 4, 0, 0, 2, 11, 26, 44, 65, 90, 121, 162, 216, 282, 356, 430, 493, 538, 559, 553, 522, 473, 410, 342, 273, 210, 153, 107, 71, 46, 29, 19, 14, 13, 14, 14, 14, 13, 12, 9, 7, 5, 3, 1, 0, 0, 0, 1, 4, 7, 9, 12, 16, 23, 36, 57, 89, 130, 181, 239, 300, 361, 415, 459, 487, 498, 493, 479, 461, 444, 434, 429, 426, 423, 417, 410, 407, 413, 434, 471, 519, 569, 612, 637, 639, 615, 567, 501, 421, 334, 249, 171, 105, 55, 24, 12, 15, 34, 65, 108, 162, 225, 292, 356, 410, 446, 459, 450, 425, 394, 370, 363, 379, 417, 469, 522, 561, 577, 562, 519, 452, 371, 287, 207, 138, 82, 43, 17, 3, 0, 0, 1, 4, 8, 11, 13, 15, 15, 14, 12, 10, 9, 8, 8, 10, 13, 16, 20, 24, 26, 26, 25, 23, 21, 21, 22, 24, 25, 22, 16, 8, 4, 11, 39, 94, 178, 287, 412, 537, 646, 726, 765, 759, 711, 627, 518, 398, 280, 174, 89, 32, 5, 11, 48, 113, 199, 297, 395, 483, 550, 587, 591, 560, 498, 412, 314, 215, 128, 61, 19, 0, 0, 8, 18, 25, 26, 22, 15, 9, 4, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 8, 21, 45, 81, 132, 194, 264, 331, 386, 416, 414, 376, 310, 228, 144, 75, 28, 3, 0, 0, 2, 4, 3, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 6, 12, 19, 25, 30, 32, 31, 28, 22, 16, 10, 5, 2, 3, 6, 11, 16, 19, 18, 15, 12, 18, 40, 86, 157, 249, 348, 438, 501, 526, 512, 472, 424, 388, 383, 413, 472, 543, 604, 634, 622, 565, 472, 359, 245, 147, 74, 29, 7, 0, 0, 0, 0, 0, 1, 5, 10, 14, 15, 11, 4, 1, 8, 32, 81, 154, 246, 347, 440, 509, 540, 528, 476, 398, 316, 251, 222, 237, 292, 374, 459, 526, 553, 532, 465, 364, 251, 147, 68, 20, 0, 0, 1, 5, 5, 3, 0, 0, 0, 0, 1, 1, 1, 1, 2, 5, 9, 12, 15, 16, 16, 14, 12, 9, 7, 4, 2, 1, 0, 0, 0, 0, 0, 2, 3, 3, 3, 3, 3, 3, 4, 5, 4, 0, 0, 0, 19, 65, 143, 250, 375, 498, 598, 654, 654, 599, 501, 378, 253, 145, 67, 19, 0, 0, 2, 10, 16, 20, 20, 18, 15, 11, 8, 7, 7, 8, 9, 11, 18, 38, 78, 144, 234, 339, 445, 531, 578, 577, 525, 434, 322, 210, 115, 49, 11, 0, 0, 6, 13, 19, 22, 21, 14, 3, 0, 0, 38, 126, 270, 465, 689, 908, 1082, 1176, 1172, 1067, 884, 657, 428, 234, 96, 20, 0, 0, 7, 10, 4, 0, 2, 36, 107, 211, 335, 455, 547, 591, 579, 517, 425, 334, 271, 259, 303, 392, 501, 597, 652, 648, 584, 473, 341, 213, 110, 42, 8, 0, 0, 5, 10, 15, 19, 25, 30, 32, 30, 24, 16, 9, 6, 8, 13, 21, 27, 30, 29, 26, 21, 15, 10, 7, 6, 7, 10, 10, 7, 0, 0, 0, 28, 88, 181, 298, 418, 517, 571, 567, 508, 408, 288, 175, 84, 26, 0, 0, 2, 10, 11, 3, 0, 0, 22, 87, 191, 325, 467, 587, 660, 670, 617, 513, 384, 253, 142, 63, 16, 0, 0, 4, 10, 10, 3, 0, 0, 21, 81, 179, 306, 438, 547, 605, 598, 527, 411, 278, 156, 66, 15, 0, 0, 3, 7, 6, 2, 0, 0, 0, 0, 1, 1, 2, 5, 9, 13, 12, 7, 0, 0, 14, 64, 154, 279, 421, 552, 643, 673, 632, 531, 394, 252, 131, 48, 5, 0, 0, 6, 9, 7, 2, 0, 0, 0, 3, 8, 14, 18, 20, 18, 14, 9, 3, 0, 0, 0, 2, 3, 3, 2, 1, 0, 0, 0, 1, 3, 8, 13, 19, 23, 26, 26, 24, 20, 14, 8, 3, 0, 0, 0, 3, 8, 12, 15, 17, 18, 17, 16, 16, 15, 15, 15, 17, 19, 22, 21, 15, 3, 0, 0, 43, 139, 293, 491, 701, 880, 987, 997, 907, 739, 532, 330, 166, 59, 6, 0, 0, 7, 11, 7, 2, 0, 0, 1, 11, 25, 41, 56, 64, 60, 44, 20, 0, 0, 38, 124, 257, 419, 580, 706, 766, 747, 652, 505, 340, 191, 82, 19, 0, 0, 3, 8, 8, 3, 0, 0, 0, 0, 3, 6, 9, 11, 12, 10, 8, 5, 3, 2, 1, 0, 0, 0, 0, 1, 6, 10, 9, 2, 0, 0, 33, 110, 234, 391, 552, 681, 745, 728, 633, 486, 322, 175, 70, 13, 0, 0, 6, 10, 8, 2, 0, 0, 0, 3, 7, 8, 7, 5, 2, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 2, 3, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 8, 8, 8, 9, 10, 14, 21, 28, 35, 40, 42, 40, 36, 32, 31, 32, 35, 40, 45, 47, 45, 40, 34, 27, 22, 21, 24, 32, 42, 51, 56, 55, 49, 39, 27, 18, 13, 13, 17, 23, 29, 34, 38, 41, 41, 36, 26, 11, 0, 0, 25, 91, 197, 334, 474, 586, 638, 615, 522, 387, 255, 174, 177, 272, 436, 620, 766, 828, 783, 647, 465, 301, 209, 223, 340, 523, 716, 859, 911, 857, 716, 525, 329, 166, 57, 3, 0, 5, 25, 40, 49, 51, 50, 48, 47, 47, 50, 54, 58, 60, 59, 55, 47, 37, 27, 20, 16, 16, 18, 20, 21, 19, 16, 14, 15, 19, 24, 25, 18, 4, 0, 1, 53, 163, 329, 529, 720, 853, 889, 814, 650, 446, 262, 157, 160, 265, 435, 614, 743, 784, 729, 596, 424, 255, 122, 38, 1, 0, 4, 14, 19, 19, 18, 20, 25, 31, 38, 41, 40, 37, 34, 32, 33, 33, 29, 16, 0, 0, 8, 75, 203, 385, 595, 787, 915, 944, 865, 700, 491, 288, 129, 34, 0, 0, 4, 12, 11, 5, 4, 12, 28, 46, 57, 58, 48, 33, 20, 13, 12, 10, 4, 0, 0, 21, 95, 224, 395, 578, 728, 806, 790, 683, 515, 329, 167, 55, 0, 0, 0, 15, 20, 13, 0, 0, 3, 45, 121, 223, 332, 426, 481, 481, 428, 335, 226, 125, 51, 9, 0, 0, 4, 8, 7, 3, 0, 0, 0, 4, 10, 17, 22, 25, 24, 20, 14, 8, 4, 4, 7, 11, 16, 18, 18, 15, 11, 9, 9, 12, 17, 22, 26, 27, 26, 24, 22, 21, 20, 20, 21, 21, 23, 24, 25, 26, 25, 23, 19, 14, 9, 6, 5, 7, 12, 19, 26, 32, 34, 31, 25, 16, 8, 2, 0, 3, 10, 20, 30, 35, 33, 23, 6, 0, 0, 35, 115, 235, 379, 515, 614, 648, 610, 510, 375, 237, 123, 46, 7, 0, 0, 3, 11, 21, 31, 36, 29, 8, 0, 0, 67, 237, 507, 841, 1169, 1408, 1489, 1387, 1131, 793, 458, 197, 42, 0, 0, 12, 26, 21, 7, 0, 0, 21, 51, 80, 101, 107, 100, 83, 61, 39, 21, 10, 5, 5, 8, 10, 11, 9, 6, 3, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 4, 6, 10, 13, 16, 18, 18, 16, 13, 9, 8, 9, 14, 21, 27, 31, 31, 26, 18, 10, 3, 0, 0, 1, 6, 12, 17, 21, 21, 19, 15, 10, 5, 2, 0, 0, 1, 4, 10, 17, 25, 28, 23, 10, 0, 0, 31, 117, 256, 430, 604, 732, 776, 719, 574, 381, 198, 80, 62, 145, 302, 482, 629, 702, 683, 583, 433, 274, 139, 49, 5, 0, 1, 10, 12, 8, 2, 0, 1, 7, 15, 22, 24, 23, 18, 11, 5, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 4, 7, 11, 15, 18, 21, 23, 23, 21, 17, 12, 7, 2, 0, 0, 0, 2, 5, 8, 11, 15, 19, 24, 29, 31, 31, 27, 21, 14, 8, 3, 0, 0, 0, 1, 3, 6, 10, 14, 18, 21, 23, 22, 20, 16, 11, 7, 3, 2, 2, 5, 9, 15, 20, 25, 28, 30, 30, 28, 25, 22, 18, 15, 11, 9, 7, 6, 5, 4, 3, 2, 2, 3, 6, 12, 20, 29, 37, 43, 45, 42, 37, 30, 23, 19, 17, 17, 18, 19, 18, 17, 15, 15, 15, 17, 18, 18, 17, 13, 9, 4, 1, 1, 3, 7, 12, 17, 21, 22, 21, 17, 13, 8, 4, 1, 0, 0, 2, 4, 7, 10, 12, 13, 15, 16, 17, 17, 15, 13, 13, 15, 20, 22, 17, 4, 0, 0, 35, 130, 280, 465, 644, 772, 814, 757, 619, 437, 256, 113, 25, 0, 0, 10, 23, 21, 6, 0, 0, 34, 126, 264, 428, 582, 685, 709, 646, 514, 350, 194, 78, 12, 0, 0, 6, 14, 15, 13, 12, 14, 18, 19, 17, 12, 5, 0, 0, 1, 6, 11, 15, 17, 17, 16, 15, 13, 12, 9, 5, 2, 2, 7, 14, 18, 15, 2, 0, 0, 41, 142, 295, 476, 641, 746, 758, 674, 519, 337, 174, 59, 1, 0, 0, 10, 16, 13, 10, 10, 16, 26, 34, 38, 37, 31, 25, 18, 12, 6, 2, 0, 0, 5, 14, 24, 33, 38, 37, 31, 22, 13, 5, 1, 0, 0, 0, 2, 5, 9, 12, 15, 15, 13, 10, 6, 2, 0, 0, 0, 0, 1, 4, 9, 16, 22, 26, 26, 22, 16, 9, 3, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 4, 8, 13, 18, 22, 24, 24, 23, 20, 18, 15, 14, 13, 12, 11, 9, 7, 5, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 4, 4, 3, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 3, 6, 10, 13, 13, 12, 9, 5, 2, 0, 0, 1, 3, 6, 11, 17, 23, 24, 19, 8, 0, 0, 20, 86, 192, 324, 453, 546, 576, 535, 435, 304, 175, 75, 16, 0, 0, 8, 20, 26, 27, 26, 24, 21, 17, 12, 8, 5, 6, 12, 22, 35, 46, 52, 46, 29, 5, 0, 0, 56, 166, 320, 485, 619, 682, 651, 532, 358, 184, 63, 32, 101, 249, 431, 594, 693, 703, 627, 490, 330, 184, 77, 15, 0, 0, 12, 30, 48, 61, 66, 57, 33, 2, 0, 19, 123, 308, 555, 815, 1021, 1114, 1063, 875, 601, 319, 108, 24, 83, 258, 490, 706, 841, 860, 767, 592, 388, 203, 71, 3, 0, 6, 33, 50, 48, 28, 0, 0, 0, 72, 205, 386, 578, 734, 811, 786, 666, 487, 296, 138, 37, 0, 0, 4, 15, 16, 11, 7, 7, 12, 19, 22, 19, 10, 1, 0, 0, 7, 14, 13, 4, 0, 0, 28, 108, 231, 376, 505, 581, 581, 505, 376, 232, 110, 30, 0, 0, 2, 11, 12, 6, 1, 0, 3, 11, 17, 20, 18, 13, 7, 2, 0, 0, 0, 2, 4, 5, 7, 9, 10, 12, 13, 12, 9, 5, 2, 0, 0, 0, 3, 5, 6, 5, 4, 2, 0, 0, 0, 1, 2, 3, 3, 2, 0, 0, 0, 1, 7, 15, 23, 29, 32, 29, 22, 13, 5, 0, 0, 0, 2, 5, 6, 6, 5, 4, 3, 3, 3, 2, 1, 0, 0, 3, 12, 23, 34, 37, 28, 9, 0, 0, 39, 143, 302, 488, 657, 764, 777, 692, 534, 349, 182, 64, 3, 0, 0, 10, 14, 11, 7, 8, 15, 26, 34, 37, 32, 23, 14, 7, 3, 3, 5, 6, 6, 5, 3, 2, 0, 0, 0, 0, 3, 9, 16, 25, 32, 34, 32, 24, 15, 8, 6, 12, 23, 38, 52, 61, 61, 54, 42, 28, 17, 9, 7, 9, 15, 23, 32, 40, 47, 49, 46, 40, 32, 24, 19, 18, 19, 23, 28, 38, 49, 57, 54, 34, 2, 0, 1, 107, 315, 608, 930, 1196, 1325, 1270, 1041, 703, 360, 116, 39, 142, 379, 664, 900, 1015, 981, 819, 585, 347, 157, 41, 0, 0, 9, 23, 29, 29, 31, 37, 46, 54, 54, 48, 36, 24, 15, 13, 16, 24, 32, 39, 42, 42, 40, 38, 38, 40, 44, 46, 46, 42, 34, 23, 13, 5, 2, 3, 8, 16, 23, 27, 28, 26, 21, 15, 9, 4, 1, 0, 3, 9, 20, 32, 41, 41, 28, 7, 0, 0, 53, 166, 327, 504, 649, 716, 680, 545, 348, 149, 10, 0, 71, 267, 514, 743, 889, 914, 815, 626, 403, 205, 67, 0, 0, 1, 15, 18, 11, 1, 0, 3, 15, 28, 36, 37, 32, 25, 20, 16, 15, 15, 13, 10, 6, 3, 0, 0, 0, 2, 7, 13, 20, 25, 28, 29, 29, 28, 27, 28, 29, 30, 30, 29, 27, 24, 22, 20, 19, 17, 15, 11, 6, 0, 0, 0, 0, 11, 22, 25, 14, 0, 0, 11, 94, 242, 433, 625, 765, 809, 746, 594, 401, 216, 80, 5, 0, 0, 16, 32, 41, 44, 44, 42, 37, 29, 17, 7, 1, 1, 6, 14, 20, 23, 23, 19, 14, 9, 5, 3, 2, 2, 1, 1, 0, 0, 0, 0, 2, 7, 13, 18, 21, 21, 16, 10, 5, 1, 0, 1, 2, 2, 0, 0, 0, 2, 11, 19, 22, 13, 0, 0, 4, 67, 183, 338, 500, 624, 675, 636, 520, 362, 205, 84, 14, 0, 0, 7, 14, 12, 5, 0, 0, 0, 0, 3, 4, 4, 5, 7, 11, 16, 20, 22, 22, 21, 19, 16, 15, 14, 15, 17, 20, 22, 24, 24, 22, 18, 12, 6, 1, 0, 0, 3, 11, 22, 32, 38, 40, 35, 27, 16, 7, 1, 0, 4, 13, 25, 38, 48, 48, 34, 10, 0, 0, 45, 166, 346, 552, 730, 830, 821, 705, 518, 315, 144, 35, 0, 0, 9, 29, 41, 45, 44, 43, 44, 44, 42, 38, 32, 25, 19, 18, 25, 37, 49, 50, 33, 1, 0, 0, 99, 305, 596, 911, 1168, 1291, 1239, 1031, 730, 421, 177, 32, 0, 0, 14, 32, 33, 24, 16, 18, 28, 40, 49, 50, 44, 35, 25, 17, 13, 11, 9, 8, 7, 6, 5, 7, 9, 11, 13, 13, 11, 8, 5, 4, 6, 12, 20, 28, 33, 33, 29, 22, 16, 11, 11, 14, 19, 23, 25, 24, 20, 15, 10, 7, 7, 9, 14, 19, 22, 24, 23, 19, 15, 12, 12, 14, 19, 23, 26, 28, 28, 28, 30, 33, 38, 43, 46, 48, 46, 42, 36, 29, 22, 19, 20, 27, 38, 52, 64, 70, 68, 58, 42, 26, 14, 8, 9, 16, 27, 37, 48, 56, 60, 58, 46, 25, 0, 0, 7, 78, 203, 368, 535, 657, 694, 628, 473, 274, 94, 0, 5, 135, 347, 579, 762, 839, 786, 620, 389, 162, 9, 0, 86, 308, 589, 853, 1029, 1065, 951, 720, 435, 175, 10, 0, 82, 285, 528, 739, 863, 869, 764, 583, 378, 198, 73, 8, 0, 0, 15, 26, 33, 39, 45, 52, 55, 50, 37, 22, 10, 7, 17, 35, 52, 58, 46, 20, 0, 0, 40, 151, 318, 506, 668, 755, 743, 634, 463, 279, 125, 29, 0, 0, 9, 25, 29, 24, 14, 6, 2, 1, 3, 6, 9, 14, 21, 29, 35, 35, 25, 6, 0, 0, 36, 132, 276, 440, 583, 665, 659, 568, 421, 258, 121, 32, 0, 0, 3, 13, 15, 10, 4, 2, 4, 8, 11, 11, 7, 2, 0, 0, 5, 17, 31, 40, 37, 20, 0, 0, 9, 94, 243, 432, 618, 747, 780, 707, 550, 358, 182, 58, 0, 0, 0, 16, 22, 18, 10, 4, 3, 6, 9, 10, 8, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 5, 8, 9, 8, 6, 3, 1, 0, 0, 0, 0, 0, 0, 2, 5, 10, 14, 17, 17, 15, 12, 9, 9, 11, 15, 20, 25, 29, 30, 30, 28, 26, 23, 21, 19, 16, 13, 9, 6, 4, 4, 6, 10, 13, 14, 13, 11, 8, 5, 2, 0, 0, 0, 0, 6, 15, 22, 19, 5, 0, 0, 35, 136, 292, 478, 645, 746, 750, 654, 489, 303, 142, 37, 0, 0, 6, 21, 26, 20, 10, 2, 2, 7, 17, 28, 39, 48, 53, 54, 51, 43, 34, 23, 14, 7, 3, 2, 2, 5, 9, 15, 22, 29, 32, 31, 26, 17, 7, 0, 0, 4, 15, 30, 42, 49, 48, 40, 27, 15, 5, 0, 0, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 0, 6, 15, 27, 40, 50, 55, 52, 41, 27, 12, 2, 0, 2, 14, 29, 45, 54, 53, 40, 16, 0, 0, 29, 114, 246, 398, 534, 612, 604, 509, 351, 179, 45, 0, 34, 161, 333, 498, 606, 629, 565, 437, 285, 147, 49, 0, 0, 3, 27, 50, 67, 77, 78, 71, 57, 38, 18, 5, 0, 5, 18, 34, 50, 61, 66, 64, 57, 47, 37, 28, 22, 20, 20, 22, 27, 36, 47, 55, 53, 35, 4, 0, 0, 79, 247, 482, 736, 940, 1029, 971, 779, 510, 240, 44, 0, 22, 176, 373, 552, 659, 668, 583, 435, 270, 129, 36, 0, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 0, 10, 28, 39, 41, 37, 31, 25, 19, 15, 13, 14, 19, 28, 38, 48, 53, 52, 44, 32, 19, 8, 1, 0, 0, 3, 9, 17, 24, 30, 33, 33, 30, 27, 24, 23, 22, 23, 27, 34, 45, 56, 59, 46, 16, 0, 0, 49, 214, 473, 784, 1070, 1248, 1263, 1111, 839, 527, 254, 72, 0, 0, 7, 35, 47, 44, 32, 22, 17, 16, 16, 17, 19, 22, 27, 33, 37, 37, 32, 23, 14, 6, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 9, 13, 15, 15, 13, 9, 5, 2, 0, 0, 0, 1, 2, 4, 4, 5, 4, 3, 1, 0, 0, 0, 2, 5, 11, 17, 23, 27, 29, 29, 27, 24, 21, 19, 19, 20, 20, 20, 19, 15, 11, 7, 3, 2, 2, 2, 5, 9, 16, 25, 34, 36, 27, 8, 0, 0, 36, 138, 293, 471, 626, 712, 703, 601, 438, 263, 117, 26, 0, 0, 6, 16, 16, 9, 1, 0, 0, 6, 11, 13, 13, 12, 10, 10, 9, 8, 5, 2, 0, 0, 1, 6, 12, 17, 20, 19, 15, 10, 4, 0, 0, 0, 3, 11, 20, 27, 32, 32, 28, 20, 12, 7, 5, 9, 18, 29, 41, 52, 58, 58, 52, 40, 26, 13, 4, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 7, 11, 14, 16, 16, 16, 15, 16, 19, 23, 27, 29, 29, 26, 20, 12, 5, 0, 0, 2, 7, 12, 17, 20, 20, 18, 14, 9, 5, 2, 0, 0, 0, 1, 2, 5, 7, 8, 9, 9, 7, 5, 3, 1, 0, 0, 1, 7, 14, 22, 29, 31, 29, 22, 13, 5, 0, 0, 4, 13, 23, 32, 37, 33, 19, 0, 0, 0, 53, 153, 291, 439, 559, 618, 597, 503, 365, 219, 99, 23, 0, 0, 7, 25, 39, 47, 50, 48, 42, 31, 18, 6, 0, 2, 11, 25, 39, 51, 56, 54, 46, 36, 26, 18, 16, 17, 24, 33, 46, 59, 70, 72, 61, 34, 2, 0, 9, 105, 281, 518, 771, 973, 1066, 1016, 832, 563, 284, 75, 0, 48, 222, 452, 664, 794, 809, 712, 538, 341, 170, 54, 0, 0, 2, 20, 31, 35, 36, 39, 43, 49, 54, 56, 57, 56, 55, 56, 59, 64, 65, 56, 33, 2, 0, 0, 85, 257, 501, 770, 997, 1117, 1093, 932, 684, 416, 192, 49, 0, 0, 8, 28, 34, 28, 18, 10, 7, 7, 7, 6, 3, 2, 4, 8, 12, 16, 17, 15, 11, 6, 2, 0, 0, 0, 4, 10, 16, 22, 25, 24, 20, 13, 5, 0, 0, 1, 8, 18, 28, 35, 37, 32, 24, 14, 5, 0, 1, 5, 12, 21, 28, 33, 34, 30, 23, 15, 9, 8, 12, 20, 29, 38, 46, 54, 61, 63, 51, 23, 0, 0, 23, 157, 388, 682, 975, 1184, 1248, 1147, 911, 611, 327, 117, 5, 0, 0, 30, 51, 54, 44, 30, 21, 17, 16, 18, 20, 24, 29, 37, 43, 41, 29, 6, 0, 0, 45, 161, 330, 521, 682, 767, 750, 635, 460, 273, 121, 27, 0, 0, 6, 19, 24, 21, 18, 17, 18, 19, 16, 11, 5, 2, 3, 11, 22, 33, 38, 30, 11, 0, 0, 29, 126, 278, 460, 628, 736, 751, 668, 514, 332, 169, 55, 0, 0, 0, 14, 21, 20, 14, 10, 9, 12, 14, 15, 13, 11, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 12, 12, 13, 13, 14, 13, 12, 11, 8, 6, 4, 3, 3, 5, 8, 12, 17, 21, 24, 27, 28, 28, 27, 23, 19, 15, 11, 8, 7, 7, 10, 13, 17, 19, 20, 18, 14, 9, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 9, 11, 11, 8, 4, 1, 0, 3, 9, 16, 22, 25, 24, 21, 18, 15, 13, 11, 9, 6, 4, 4, 7, 14, 23, 32, 36, 36, 31, 23, 13, 6, 1, 0, 0, 1, 5, 10, 17, 23, 28, 30, 27, 20, 11, 4, 3, 10, 24, 43, 60, 71, 71, 61, 43, 23, 7, 0, 0, 9, 23, 40, 55, 64, 66, 61, 50, 36, 21, 8, 1, 0, 6, 18, 34, 51, 66, 71, 63, 40, 11, 0, 1, 64, 189, 367, 564, 734, 827, 813, 690, 489, 266, 89, 9, 55, 216, 448, 684, 855, 909, 829, 635, 384, 152, 12, 13, 160, 416, 710, 957, 1088, 1073, 923, 686, 430, 211, 66, 0, 0, 7, 34, 53, 62, 65, 65, 63, 61, 56, 50, 44, 40, 38, 39, 42, 49, 55, 55, 44, 18, 0, 0, 31, 159, 370, 637, 899, 1087, 1146, 1058, 850, 580, 320, 122, 11, 0, 0, 37, 70, 87, 87, 75, 59, 44, 35, 32, 36, 45, 55, 63, 66, 62, 48, 26, 1, 0, 0, 56, 167, 323, 493, 636, 712, 698, 599, 444, 276, 132, 37, 0, 0, 6, 28, 47, 58, 59, 47, 24, 0, 0, 17, 101, 247, 433, 620, 758, 804, 740, 580, 366, 159, 16, 0, 51, 221, 440, 649, 791, 830, 761, 608, 416, 233, 96, 19, 0, 0, 9, 18, 17, 11, 5, 2, 3, 4, 5, 4, 3, 2, 2, 3, 5, 7, 9, 11, 13, 15, 16, 17, 16, 15, 13, 11, 9, 9, 9, 11, 13, 16, 17, 18, 16, 13, 10, 9, 12, 17, 21, 19, 10, 0, 0, 7, 61, 156, 280, 408, 505, 544, 515, 427, 305, 182, 84, 23, 0, 0, 2, 7, 9, 8, 10, 16, 26, 38, 48, 52, 52, 49, 43, 37, 32, 27, 22, 17, 13, 9, 7, 5, 5, 5, 5, 4, 3, 1, 0, 0, 0, 0, 0, 0, 3, 6, 9, 12, 12, 11, 8, 5, 2, 0, 0, 0, 1, 6, 12, 18, 22, 23, 21, 15, 8, 3, 0, 0, 0, 0, 0, 0, 0, 1, 5, 10, 15, 17, 16, 11, 5, 0, 0, 2, 11, 22, 31, 36, 34, 27, 17, 9, 3, 1, 1, 2, 3, 7, 13, 21, 26, 21, 6, 0, 0, 35, 141, 307, 505, 688, 803, 816, 722, 551, 351, 175, 54, 0, 0, 3, 20, 26, 22, 12, 3, 0, 0, 0, 1, 2, 2, 4, 7, 11, 15, 15, 13, 9, 5, 2, 0, 0, 0, 0, 1, 5, 12, 19, 25, 27, 24, 16, 7, 0, 0, 3, 11, 19, 26, 27, 25, 20, 14, 8, 2, 0, 0, 2, 16, 37, 61, 80, 83, 67, 35, 3, 0, 30, 126, 274, 449, 608, 707, 712, 618, 446, 245, 76, 0, 18, 158, 374, 606, 788, 871, 835, 696, 498, 295, 133, 33, 0, 0, 13, 31, 44, 53, 61, 62, 49, 21, 0, 0, 43, 205, 470, 800, 1117, 1337, 1393, 1268, 1000, 668, 357, 130, 8, 0, 0, 27, 48, 51, 43, 32, 22, 15, 10, 5, 3, 6, 16, 30, 43, 50, 43, 23, 0, 0, 9, 84, 214, 383, 554, 682, 730, 684, 559, 392, 225, 97, 21, 0, 0, 9, 20, 27, 34, 43, 50, 46, 25, 0, 0, 23, 161, 403, 721, 1047, 1294, 1392, 1311, 1076, 756, 436, 185, 36, 0, 0, 18, 40, 44, 35, 21, 10, 5, 4, 5, 5, 3, 2, 2, 3, 4, 5, 4, 2, 0, 0, 2, 10, 22, 37, 50, 58, 58, 51, 38, 23, 10, 3, 1, 2, 7, 12, 17, 25, 33, 38, 36, 22, 0, 0, 0, 62, 189, 365, 554, 704, 772, 736, 607, 425, 242, 98, 13, 0, 0, 11, 29, 37, 33, 20, 2, 0, 0, 32, 124, 265, 432, 587, 687, 702, 627, 485, 316, 162, 54, 0, 0, 0, 18, 31, 38, 41, 46, 53, 60, 64, 63, 57, 47, 36, 28, 28, 36, 52, 69, 79, 73, 49, 13, 0, 2, 83, 246, 475, 732, 956, 1086, 1082, 939, 694, 409, 161, 13, 0, 117, 320, 548, 731, 820, 794, 670, 486, 294, 137, 36, 0, 0, 13, 36, 52, 59, 58, 51, 41, 27, 14, 5, 2, 8, 22, 41, 59, 72, 74, 66, 50, 30, 13, 2, 1, 7, 19, 33, 44, 51, 50, 39, 20, 0, 0, 7, 67, 170, 302, 434, 528, 554, 498, 372, 212, 67, 0, 3, 124, 327, 562, 767, 888, 891, 774, 572, 337, 131, 4, 0, 63, 222, 414, 587, 696, 715, 643, 504, 337, 183, 69, 8, 0, 0, 17, 32, 38, 36, 31, 24, 18, 12, 7, 3, 0, 0, 4, 11, 21, 28, 29, 19, 2, 0, 0, 50, 154, 304, 470, 613, 692, 685, 594, 445, 281, 138, 43, 0, 0, 1, 18, 30, 36, 38, 38, 36, 30, 22, 14, 10, 11, 20, 32, 44, 50, 49, 41, 28, 16, 5, 0, 0, 0, 10, 24, 41, 55, 63, 62, 50, 32, 14, 1, 0, 5, 21, 40, 58, 69, 68, 54, 28, 1, 0, 4, 66, 175, 316, 460, 570, 616, 586, 488, 352, 212, 99, 29, 0, 0, 9, 23, 37, 52, 67, 74, 62, 27, 0, 0, 52, 262, 611, 1052, 1485, 1795, 1888, 1737, 1387, 940, 514, 196, 22, 0, 0, 29, 51, 48, 29, 10, 0, 0, 4, 8, 9, 7, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 3, 1, 0, 0, 0, 4, 12, 21, 27, 30, 27, 20, 12, 6, 6, 11, 19, 28, 34, 35, 32, 25, 17, 10, 8, 11, 18, 28, 40, 49, 55, 55, 49, 40, 29, 20, 15, 15, 18, 23, 27, 29, 27, 22, 15, 8, 2, 0, 0, 2, 9, 17, 25, 31, 33, 30, 24, 16, 8, 3, 0, 0, 0, 3, 6, 10, 12, 13, 12, 10, 8, 5, 2, 0, 0, 0, 6, 17, 32, 47, 58, 62, 57, 46, 32, 20, 14, 16, 25, 38, 51, 58, 55, 40, 16, 0, 0, 32, 125, 270, 447, 619, 743, 786, 735, 604, 429, 253, 113, 27, 0, 0, 11, 29, 40, 44, 41, 36, 31, 25, 21, 18, 17, 19, 23, 30, 39, 49, 56, 53, 37, 10, 0, 0, 56, 198, 414, 672, 914, 1076, 1113, 1014, 808, 552, 310, 127, 24, 0, 0, 11, 24, 26, 19, 12, 8, 7, 8, 8, 7, 5, 5, 6, 8, 11, 13, 14, 13, 11, 8, 5, 3, 2, 3, 6, 9, 12, 13, 13, 10, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 7, 14, 20, 25, 26, 24, 18, 12, 6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 8, 12, 14, 16, 17, 18, 19, 19, 20, 21, 22, 23, 26, 30, 35, 38, 40, 38, 35, 30, 27, 26, 28, 32, 36, 39, 41, 40, 37, 32, 26, 20, 13, 7, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 5, 9, 13, 15, 14, 10, 5, 1, 0, 0, 2, 6, 9, 11, 10, 8, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 2, 1, 0, 0, 0, 3, 10, 19, 27, 31, 30, 23, 14, 6, 2, 3, 8, 15, 21, 27, 30, 31, 25, 13, 0, 0, 4, 59, 161, 300, 451, 575, 638, 621, 530, 392, 243, 117, 34, 0, 0, 1, 16, 27, 33, 33, 24, 9, 0, 0, 26, 112, 252, 428, 603, 730, 773, 720, 586, 409, 235, 101, 21, 0, 0, 6, 14, 12, 5, 0, 0, 0, 1, 4, 5, 3, 1, 0, 0, 2, 5, 8, 10, 10, 9, 5, 1, 0, 0, 2, 8, 16, 24, 28, 27, 22, 15, 7, 2, 0, 0, 0, 5, 13, 23, 32, 38, 41, 38, 33, 27, 25, 28, 36, 47, 58, 65, 66, 60, 47, 31, 16, 8, 10, 22, 41, 60, 74, 82, 82, 77, 67, 49, 23, 0, 0, 14, 113, 295, 547, 823, 1061, 1198, 1195, 1053, 812, 534, 284, 105, 11, 0, 0, 20, 33, 33, 25, 17, 13, 12, 11, 8, 4, 1, 3, 9, 17, 19, 11, 0, 0, 7, 72, 190, 350, 518, 652, 712, 682, 571, 412, 247, 112, 29, 0, 0, 6, 16, 18, 13, 4, 0, 0, 0, 6, 13, 21, 30, 40, 49, 56, 58, 55, 46, 34, 21, 12, 8, 10, 15, 21, 25, 25, 22, 18, 15, 14, 16, 20, 26, 32, 39, 47, 54, 60, 62, 59, 51, 38, 23, 10, 2, 0, 5, 13, 24, 34, 41, 44, 43, 39, 32, 23, 15, 7, 1, 0, 0, 2, 9, 17, 25, 30, 31, 28, 24, 22, 24, 28, 33, 38, 41, 44, 44, 41, 31, 12, 0, 0, 26, 127, 300, 527, 767, 963, 1064, 1042, 904, 687, 444, 230, 79, 2, 0, 8, 38, 60, 64, 54, 34, 16, 4, 2, 10, 25, 43, 59, 68, 69, 57, 35, 7, 0, 0, 57, 177, 353, 558, 746, 871, 898, 820, 657, 453, 255, 103, 14, 0, 0, 33, 65, 82, 79, 57, 26, 0, 0, 29, 115, 250, 412, 568, 679, 710, 649, 508, 326, 153, 44, 35, 136, 326, 556, 766, 900, 922, 824, 634, 402, 191, 57, 31, 115, 281, 478, 651, 753, 761, 679, 533, 362, 205, 88, 20, 0, 0, 16, 35, 51, 62, 66, 58, 37, 7, 0, 0, 74, 225, 442, 687, 904, 1035, 1043, 928, 721, 480, 259, 100, 13, 0, 0, 18, 35, 43, 42, 38, 34, 30, 25, 21, 17, 15, 15, 17, 19, 21, 22, 22, 20, 17, 14, 11, 10, 10, 13, 19, 30, 42, 52, 54, 44, 21, 0, 0, 22, 121, 290, 509, 736, 915, 1000, 969, 830, 623, 398, 205, 73, 6, 0, 1, 17, 27, 26, 19, 10, 3, 0, 0, 0, 3, 6, 11, 15, 18, 17, 15, 10, 6, 3, 1, 0, 0, 0, 0, 0, 4, 9, 9, 4, 0, 0, 15, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 71, 164, 286, 411, 508, 551, 528, 445, 327, 203, 99, 31, 0, 0, 1, 8, 10, 7, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 7, 12, 11, 4, 0, 0, 23, 91, 202, 341, 477, 577, 613, 573, 471, 334, 197, 88, 21, 0, 0, 7, 21, 28, 29, 25, 19, 12, 6, 3, 6, 15, 32, 53, 74, 88, 89, 75, 46, 13, 0, 1, 59, 171, 328, 503, 657, 753, 764, 689, 547, 376, 214, 91, 19, 0, 0, 8, 19, 23, 21, 17, 11, 7, 2, 0, 2, 11, 28, 50, 71, 83, 81, 64, 37, 12, 8, 38, 111, 224, 359, 490, 588, 627, 599, 510, 381, 243, 123, 40, 0, 0, 18, 51, 84, 111, 124, 119, 95, 55, 13, 0, 15, 105, 267, 481, 709, 898, 1000, 986, 857, 647, 409, 202, 76, 55, 138, 295, 478, 634, 722, 716, 619, 456, 275, 125, 53, 82, 207, 398, 602, 762, 835, 800, 667, 474, 276, 130, 75, 126, 271, 469, 669, 820, 884, 847, 724, 546, 355, 190, 75, 13, 0, 0, 11, 19, 20, 16, 12, 9, 9, 10, 11, 12, 13, 13, 12, 11, 8, 5, 2, 0, 0, 0, 2, 6, 10, 13, 14, 13, 11, 7, 3, 0, 0, 0, 2, 9, 20, 33, 45, 53, 54, 47, 34, 19, 6, 0, 2, 12, 28, 45, 58, 65, 64, 56, 42, 27, 13, 3, 1, 7, 23, 46, 71, 90, 96, 85, 56, 23, 3, 19, 89, 218, 390, 575, 731, 818, 811, 707, 535, 339, 177, 97, 124, 258, 466, 695, 889, 997, 994, 884, 698, 480, 277, 123, 31, 0, 0, 17, 38, 51, 54, 50, 42, 33, 25, 20, 20, 25, 35, 47, 60, 69, 72, 64, 45, 17, 0, 0, 38, 148, 322, 541, 764, 942, 1031, 1008, 880, 680, 456, 255, 108, 25, 0, 0, 6, 13, 12, 6, 0, 0, 0, 0, 2, 2, 2, 5, 12, 21, 30, 37, 38, 33, 25, 16, 9, 7, 12, 21, 33, 44, 52, 51, 40, 21, 0, 0, 13, 81, 200, 359, 529, 672, 752, 748, 663, 518, 351, 197, 83, 18, 0, 0, 10, 22, 29, 30, 28, 25, 20, 14, 8, 3, 1, 3, 7, 13, 18, 21, 22, 21, 19, 17, 14, 11, 9, 7, 7, 11, 19, 28, 36, 37, 26, 6, 0, 0, 49, 163, 334, 537, 730, 866, 910, 851, 708, 516, 323, 164, 59, 7, 0, 0, 8, 11, 8, 4, 0, 0, 1, 2, 2, 2, 2, 4, 7, 11, 14, 15, 14, 10, 6, 1, 0, 0, 0, 4, 11, 17, 20, 20, 15, 8, 1, 0, 2, 12, 26, 39, 49, 51, 47, 37, 26, 17, 13, 17, 27, 41, 57, 71, 82, 89, 90, 83, 65, 37, 6, 0, 4, 76, 214, 411, 637, 847, 993, 1037, 970, 809, 593, 372, 186, 62, 0, 0, 3, 22, 32, 25, 8, 0, 0, 28, 107, 227, 371, 513, 619, 665, 640, 552, 423, 282, 157, 65, 13, 0, 4, 22, 39, 49, 49, 39, 25, 12, 3, 2, 10, 23, 38, 50, 56, 52, 38, 19, 1, 0, 17, 73, 167, 290, 420, 529, 589, 581, 504, 375, 227, 101, 35, 48, 141, 291, 458, 596, 669, 657, 564, 418, 258, 130, 67, 85, 179, 325, 489, 629, 714, 722, 651, 519, 359, 211, 113, 89, 143, 258, 400, 529, 610, 625, 572, 470, 344, 223, 126, 62, 32, 26, 32, 39, 40, 33, 17, 0, 0, 7, 56, 145, 268, 406, 532, 615, 633, 580, 469, 329, 200, 119, 107, 170, 290, 434, 563, 643, 651, 583, 456, 303, 166, 84, 84, 174, 336, 535, 722, 852, 893, 837, 701, 518, 331, 173, 66, 10, 0, 0, 12, 23, 29, 33, 37, 40, 41, 39, 35, 29, 23, 20, 19, 18, 18, 16, 12, 7, 2, 0, 0, 0, 2, 4, 7, 10, 15, 21, 27, 32, 35, 35, 32, 26, 21, 17, 16, 19, 25, 31, 37, 40, 40, 36, 30, 25, 21, 20, 22, 25, 28, 30, 29, 27, 24, 22, 21, 22, 25, 30, 34, 37, 36, 32, 25, 17, 9, 3, 0, 0, 1, 4, 7, 12, 18, 22, 22, 17, 5, 0, 0, 25, 92, 198, 332, 471, 585, 647, 643, 575, 461, 328, 202, 102, 37, 5, 0, 1, 8, 10, 5, 0, 0, 7, 50, 129, 239, 364, 481, 563, 594, 565, 486, 374, 255, 149, 69, 21, 0, 0, 3, 10, 12, 9, 1, 0, 0, 22, 75, 157, 259, 362, 445, 488, 481, 427, 338, 236, 140, 66, 20, 1, 0, 4, 10, 12, 9, 4, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 8, 15, 22, 28, 31, 31, 29, 24, 20, 17, 15, 16, 18, 21, 25, 27, 27, 24, 18, 11, 5, 1, 0, 2, 7, 14, 21, 27, 31, 32, 30, 25, 18, 11, 4, 0, 0, 1, 4, 6, 7, 6, 4, 2, 1, 0, 0, 0, 2, 4, 8, 14, 23, 32, 39, 40, 34, 19, 2, 0, 5, 53, 143, 267, 409, 540, 631, 660, 622, 526, 393, 253, 133, 50, 9, 4, 20, 40, 51, 47, 29, 9, 2, 21, 75, 163, 273, 386, 474, 519, 507, 442, 341, 233, 150, 119, 151, 244, 376, 512, 618, 666, 642, 551, 418, 276, 162, 106, 124, 213, 351, 504, 634, 707, 704, 624, 488, 331, 194, 116, 118, 200, 343, 510, 655, 743, 750, 677, 543, 382, 228, 108, 33, 0, 0, 2, 10, 14, 13, 11, 9, 8, 7, 6, 5, 5, 7, 10, 15, 18, 20, 19, 15, 10, 5, 1, 0, 0, 5, 11, 19, 26, 31, 32, 30, 26, 20, 15, 12, 13, 19, 27, 35, 41, 43, 38, 30, 18, 8, 1, 0, 0, 6, 14, 23, 28, 28, 22, 10, 0, 0, 19, 70, 155, 267, 389, 495, 560, 565, 508, 405, 284, 182, 131, 149, 231, 356, 491, 597, 647, 629, 548, 426, 290, 168, 77, 23, 0, 0, 1, 4, 4, 1, 0, 0, 0, 0, 0, 1, 3, 7, 15, 23, 27, 26, 18, 7, 0, 7, 40, 108, 210, 336, 464, 569, 625, 617, 544, 425, 286, 159, 64, 11, 0, 0, 4, 9, 8, 3, 0, 0, 0, 1, 3, 5, 7, 9, 13, 16, 15, 9, 0, 0, 4, 43, 120, 231, 364, 493, 592, 639, 626, 557, 449, 326, 209, 113, 48, 11, 0, 4, 18, 36, 53, 65, 70, 67, 57, 44, 34, 28, 28, 34, 43, 51, 56, 58, 57, 54, 51, 46, 40, 33, 28, 27, 29, 35, 39, 37, 27, 11, 0, 3, 40, 117, 231, 369, 505, 614, 673, 670, 609, 502, 373, 245, 137, 60, 16, 0, 0, 4, 10, 12, 13, 12, 14, 17, 21, 25, 26, 25, 22, 20, 19, 21, 26, 32, 37, 39, 38, 35, 32, 32, 35, 41, 47, 50, 46, 35, 21, 12, 21, 59, 131, 234, 354, 470, 560, 603, 591, 525, 423, 304, 192, 103, 47, 21, 17, 22, 26, 23, 13, 1, 0, 13, 53, 117, 200, 290, 372, 433, 460, 449, 403, 331, 245, 160, 88, 37, 9, 0, 5, 13, 19, 19, 14, 12, 21, 53, 111, 195, 296, 397, 480, 527, 526, 478, 394, 294, 205, 150, 145, 196, 291, 407, 517, 591, 611, 572, 483, 363, 239, 132, 57, 18, 10, 24, 48, 70, 84, 85, 73, 50, 27, 17, 38, 104, 223, 390, 585, 775, 924, 998, 980, 873, 701, 503, 325, 205, 163, 199, 294, 413, 520, 586, 594, 546, 453, 338, 224, 128, 60, 25, 15, 24, 40, 54, 57, 46, 24, 0, 0, 28, 121, 285, 507, 759, 992, 1158, 1216, 1153, 983, 747, 495, 276, 118, 30, 0, 0, 4, 9, 8, 2, 0, 0, 0, 1, 5, 7, 9, 10, 12, 14, 16, 17, 18, 17, 15, 12, 9, 6, 5, 6, 9, 13, 18, 22, 24, 24, 23, 22, 23, 27, 35, 44, 53, 59, 60, 54, 44, 32, 22, 15, 15, 20, 29, 39, 48, 53, 50, 40, 27, 16, 17, 42, 97, 182, 288, 399, 491, 546, 552, 507, 425, 328, 242, 193, 192, 243, 331, 434, 524, 575, 571, 512, 413, 302, 212, 174, 205, 303, 449, 607, 736, 802, 788, 698, 555, 399, 269, 198, 201, 274, 396, 532, 647, 712, 712, 645, 527, 382, 240, 123, 45, 5, 0, 0, 9, 15, 16, 13, 9, 6, 4, 3, 3, 3, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 8, 10, 9, 8, 6, 5, 5, 8, 13, 18, 21, 23, 21, 16, 9, 3, 0, 0, 4, 13, 24, 34, 39, 39, 34, 25, 17, 12, 11, 15, 24, 35, 48, 61, 69, 72, 67, 54, 39, 31, 42, 84, 162, 274, 407, 541, 649, 710, 711, 653, 550, 425, 307, 220, 180, 190, 240, 312, 382, 429, 439, 407, 342, 256, 168, 93, 41, 13, 5, 9, 15, 19, 18, 13, 7, 3, 1, 3, 6, 12, 18, 24, 28, 30, 28, 23, 16, 9, 5, 6, 11, 21, 30, 38, 40, 38, 33, 25, 18, 12, 8, 5, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 3, 4, 6, 7, 6, 2, 0, 0, 11, 48, 113, 203, 309, 412, 491, 531, 522, 466, 376, 271, 170, 89, 34, 5, 0, 0, 4, 8, 9, 10, 9, 9, 10, 11, 13, 18, 25, 33, 41, 46, 46, 41, 32, 22, 12, 3, 0, 0, 2, 11, 23, 37, 47, 51, 47, 36, 22, 12, 10, 20, 39, 63, 84, 96, 96, 82, 61, 38, 20, 12, 14, 25, 42, 61, 78, 90, 94, 89, 74, 52, 34, 34, 70, 155, 290, 465, 650, 807, 902, 909, 830, 687, 523, 389, 324, 348, 452, 604, 758, 867, 898, 841, 709, 532, 350, 196, 91, 41, 34, 51, 72, 83, 81, 74, 78, 112, 189, 308, 455, 603, 717, 768, 741, 642, 496, 340, 211, 129, 92, 83, 75, 51, 18, 3, 43, 165, 368, 620, 858, 1019, 1059, 973, 793, 576, 380, 243, 174, 158, 165, 168, 155, 126, 91, 61, 43, 37, 38, 41, 43, 43, 42, 42, 45, 53, 66, 90, 127, 181, 252, 339, 432, 520, 589, 627, 629, 592, 524, 437, 341, 250, 170, 107, 61, 32, 16, 12, 15, 21, 27, 30, 28, 24, 18, 14, 14, 19, 27, 37, 45, 49, 51, 50, 47, 44, 43, 45, 51, 61, 75, 91, 105, 115, 117, 111, 97, 80, 66, 58, 60, 70, 85, 101, 113, 116, 111, 97, 77, 55, 37, 25, 24, 33, 53, 79, 108, 131, 145, 147, 135, 114, 92, 76, 76, 95, 131, 175, 213, 230, 217, 176, 125, 100, 147, 315, 638, 1126, 1748, 2436, 3092, 3609, 3891, 3884, 3587, 3055, 2381, 1679, 1049, 560, 239, 72, 21, 34, 68, 93, 97, 82, 56, 31, 14, 5, 4, 6, 7, 7, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
"peakC": [2243, 2237, 2224, 2203, 2170, 2131, 2095, 2076, 2074, 2086, 2109, 2142, 2183, 2230, 2280, 2330, 2379, 2428, 2476, 2526, 2580, 2639, 2702, 2767, 2831, 2891, 2945, 2994, 3039, 3081, 3123, 3166, 3212, 3262, 3320, 3387, 3463, 3548, 3636, 3723, 3805, 3879, 3945, 4006, 4067, 4129, 4194, 4256, 4308, 4343, 4356, 4345, 4312, 4264, 4205, 4140, 4072, 4001, 3925, 3845, 3760, 3670, 3574, 3471, 3357, 3228, 3083, 2921, 2746, 2562, 2376, 2192, 2013, 1840, 1672, 1507, 1344, 1186, 1036, 898, 775, 669, 580, 504, 439, 382, 332, 289, 254, 226, 206, 193, 185, 179, 175, 171, 167, 164, 164, 166, 172, 180, 188, 197, 205, 213, 225, 240, 262, 290, 322, 355, 389, 420, 448, 474, 496, 517, 536, 553, 569, 583, 596, 607, 615, 620, 622, 620, 615, 609, 601, 594, 586, 576, 562, 543, 518, 488, 454, 421, 388, 358, 329, 299, 267, 232, 195, 159, 128, 102, 84, 73, 68, 69, 74, 84, 98, 115, 134, 155, 178, 205, 234, 267, 302, 335, 362, 381, 389, 386, 372, 349, 320, 286, 247, 206, 166, 128, 96, 71, 54, 44, 39, 38, 37, 36, 33, 30, 27, 25, 26, 30, 38, 50, 66, 85, 108, 136, 169, 207, 249, 292, 333, 367, 391, 405, 407, 401, 386, 363, 333, 296, 255, 210, 167, 128, 95, 69, 49, 34, 23, 15, 11, 10, 13, 19, 26, 34, 43, 56, 77, 107, 148, 199, 257, 319, 378, 431, 474, 503, 516, 512, 490, 452, 402, 344, 285, 230, 184, 150, 131, 128, 141, 169, 209, 257, 306, 350, 386, 410, 422, 424, 417, 404, 388, 372, 360, 358, 368, 390, 420, 453, 477, 484, 470, 434, 381, 317, 249, 184, 126, 78, 42, 17, 3, 0, 1, 7, 13, 17, 17, 15, 12, 10, 9, 10, 12, 15, 17, 18, 17, 15, 13, 11, 9, 7, 5, 3, 2, 0, 0, 0, 0, 0, 1, 3, 6, 9, 9, 9, 6, 3, 0, 0, 0, 1, 2, 4, 7, 11, 21, 40, 71, 118, 179, 252, 329, 401, 458, 494, 505, 491, 454, 399, 333, 260, 189, 124, 70, 32, 9, 0, 0, 0, 4, 6, 7, 5, 3, 1, 0, 0, 2, 5, 8, 10, 11, 10, 7, 4, 2, 0, 0, 0, 0, 0, 1, 2, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 3, 1, 0, 0, 3, 17, 44, 86, 145, 217, 296, 372, 435, 475, 484, 462, 411, 340, 261, 183, 117, 65, 31, 11, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 17, 47, 95, 158, 230, 301, 363, 405, 423, 415, 382, 328, 262, 191, 126, 72, 33, 10, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 3, 4, 4, 4, 2, 0, 0, 0, 0, 0, 0, 2, 11, 31, 68, 123, 195, 277, 358, 424, 464, 469, 439, 379, 298, 211, 132, 69, 27, 5, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 3, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 2, 5, 8, 10, 10, 10, 7, 4, 1, 0, 0, 1, 7, 14, 21, 27, 30, 28, 24, 18, 11, 7, 5, 5, 7, 10, 13, 15, 17, 18, 17, 15, 12, 8, 4, 0, 0, 0, 0, 3, 5, 4, 2, 0, 0, 10, 39, 92, 167, 260, 357, 443, 503, 526, 509, 459, 390, 326, 289, 296, 355, 458, 584, 702, 783, 804, 756, 647, 500, 342, 202, 97, 32, 3, 0, 0, 4, 4, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 3, 4, 5, 4, 2, 0, 0, 0, 2, 6, 11, 15, 18, 18, 17, 14, 10, 7, 3, 1, 0, 0, 1, 3, 6, 8, 9, 8, 6, 3, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 5, 7, 7, 3, 0, 0, 15, 58, 131, 232, 347, 455, 532, 560, 532, 454, 344, 226, 123, 50, 10, 0, 0, 3, 6, 4, 1, 0, 0, 0, 0, 2, 2, 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, 2, 6, 9, 11, 11, 9, 5, 2, 0, 0, 0, 1, 2, 2, 2, 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, 1, 2, 3, 5, 6, 7, 7, 6, 5, 3, 2, 0, 0, 0, 0, 0, 1, 2, 3, 3, 2, 1, 0, 0, 0, 1, 4, 8, 11, 13, 13, 11, 8, 4, 1, 1, 4, 9, 15, 22, 28, 32, 33, 31, 27, 22, 17, 15, 15, 19, 25, 32, 37, 39, 38, 33, 26, 20, 16, 15, 17, 23, 30, 37, 42, 45, 45, 42, 38, 33, 29, 27, 29, 36, 47, 60, 68, 69, 58, 38, 18, 16, 51, 139, 283, 472, 676, 853, 962, 976, 888, 717, 503, 297, 145, 81, 113, 226, 387, 554, 686, 752, 740, 656, 522, 366, 220, 106, 35, 5, 5, 18, 30, 31, 21, 8, 5, 27, 86, 184, 313, 453, 577, 658, 675, 621, 505, 354, 205, 97, 60, 106, 230, 403, 587, 737, 819, 815, 726, 575, 397, 235, 122, 83, 122, 227, 369, 513, 624, 676, 659, 578, 454, 314, 186, 88, 28, 1, 0, 1, 6, 10, 12, 15, 20, 28, 34, 36, 33, 27, 19, 11, 7, 6, 9, 14, 20, 24, 27, 28, 26, 23, 20, 17, 16, 17, 19, 23, 27, 30, 32, 32, 32, 33, 34, 36, 37, 39, 39, 41, 41, 41, 37, 27, 13, 0, 0, 22, 84, 188, 327, 479, 614, 701, 717, 659, 539, 385, 232, 109, 32, 0, 0, 8, 14, 10, 2, 6, 42, 122, 248, 404, 560, 679, 729, 694, 580, 416, 252, 138, 118, 208, 393, 632, 865, 1032, 1091, 1030, 867, 643, 411, 214, 79, 9, 0, 3, 25, 43, 52, 53, 49, 42, 36, 31, 28, 27, 29, 35, 42, 50, 56, 59, 58, 52, 44, 34, 25, 19, 18, 22, 30, 41, 51, 56, 52, 38, 17, 0, 0, 25, 93, 202, 341, 485, 602, 663, 648, 559, 415, 254, 121, 57, 86, 209, 399, 611, 788, 885, 876, 763, 580, 377, 212, 127, 140, 240, 390, 541, 648, 680, 632, 521, 376, 232, 117, 41, 5, 0, 2, 9, 12, 10, 5, 0, 0, 1, 5, 10, 15, 17, 18, 17, 15, 14, 13, 13, 13, 11, 9, 6, 3, 1, 0, 1, 4, 7, 9, 9, 8, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 5, 7, 8, 9, 8, 7, 7, 7, 8, 8, 9, 9, 8, 6, 4, 2, 1, 0, 0, 0, 0, 1, 2, 4, 5, 5, 5, 4, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 8, 9, 9, 7, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 1, 0, 0, 0, 2, 8, 13, 10, 0, 0, 0, 43, 134, 272, 435, 587, 690, 715, 654, 525, 363, 208, 89, 20, 0, 0, 5, 11, 10, 5, 0, 0, 0, 0, 3, 6, 7, 7, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 4, 10, 17, 22, 25, 23, 17, 9, 2, 0, 0, 5, 14, 25, 35, 43, 46, 44, 39, 31, 23, 17, 15, 16, 20, 26, 35, 43, 47, 42, 25, 0, 0, 3, 80, 230, 443, 683, 895, 1024, 1036, 926, 726, 489, 270, 108, 16, 0, 0, 13, 29, 30, 17, 0, 0, 0, 61, 180, 347, 538, 708, 816, 830, 747, 591, 402, 225, 94, 19, 0, 0, 6, 12, 10, 3, 0, 0, 0, 3, 6, 7, 5, 1, 0, 0, 3, 9, 16, 21, 23, 22, 18, 13, 8, 6, 5, 4, 4, 4, 4, 6, 9, 13, 16, 18, 17, 14, 9, 5, 1, 0, 0, 0, 4, 9, 15, 19, 16, 6, 0, 0, 18, 82, 186, 317, 445, 536, 566, 525, 426, 297, 171, 73, 16, 0, 0, 6, 13, 13, 8, 2, 0, 0, 0, 0, 1, 2, 4, 7, 11, 14, 14, 12, 8, 4, 2, 3, 7, 14, 23, 31, 38, 41, 37, 23, 3, 0, 0, 48, 154, 309, 486, 646, 746, 756, 674, 525, 348, 187, 71, 9, 0, 0, 9, 16, 17, 14, 12, 13, 15, 16, 15, 10, 5, 1, 0, 5, 14, 27, 37, 41, 32, 12, 0, 0, 38, 143, 307, 506, 696, 825, 853, 768, 588, 363, 153, 17, 0, 79, 257, 477, 678, 810, 840, 767, 616, 428, 249, 112, 30, 0, 0, 4, 16, 25, 31, 33, 27, 13, 0, 0, 18, 109, 267, 475, 692, 863, 941, 904, 762, 555, 338, 158, 43, 0, 0, 19, 43, 53, 47, 30, 12, 0, 0, 0, 11, 25, 40, 52, 59, 59, 53, 43, 29, 15, 5, 0, 0, 6, 16, 29, 42, 51, 49, 36, 14, 0, 0, 37, 139, 298, 492, 680, 811, 847, 772, 601, 380, 169, 29, 1, 95, 288, 527, 747, 890, 915, 818, 624, 387, 170, 27, 0, 74, 242, 449, 639, 760, 782, 705, 555, 374, 207, 84, 15, 0, 0, 8, 13, 11, 3, 0, 0, 0, 3, 7, 8, 7, 4, 0, 0, 0, 0, 4, 13, 18, 14, 3, 0, 0, 39, 134, 278, 447, 603, 703, 717, 643, 501, 331, 176, 64, 6, 0, 0, 9, 14, 11, 3, 0, 0, 0, 6, 12, 17, 18, 16, 12, 8, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 7, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 9, 15, 20, 23, 22, 19, 14, 8, 5, 6, 11, 19, 28, 35, 39, 39, 34, 27, 20, 16, 15, 19, 25, 33, 41, 45, 45, 41, 33, 23, 12, 4, 1, 4, 13, 26, 40, 54, 64, 70, 68, 56, 32, 3, 0, 0, 70, 213, 416, 642, 836, 945, 938, 817, 616, 391, 195, 60, 0, 0, 2, 28, 45, 44, 27, 2, 0, 0, 56, 178, 354, 554, 731, 838, 842, 737, 550, 329, 129, 0, 0, 63, 244, 478, 710, 881, 949, 898, 745, 533, 318, 146, 39, 0, 0, 5, 16, 16, 9, 0, 0, 0, 0, 5, 11, 15, 18, 19, 18, 15, 11, 7, 3, 0, 0, 0, 1, 3, 7, 11, 14, 17, 16, 13, 9, 4, 2, 4, 10, 19, 29, 36, 39, 37, 32, 25, 18, 14, 11, 9, 7, 5, 2, 0, 0, 2, 7, 12, 16, 17, 15, 11, 6, 2, 0, 0, 1, 2, 4, 6, 9, 14, 21, 27, 31, 32, 29, 22, 15, 12, 15, 25, 40, 57, 70, 73, 62, 38, 8, 0, 0, 59, 172, 327, 494, 633, 707, 695, 600, 449, 282, 137, 39, 0, 0, 22, 56, 82, 96, 93, 74, 42, 7, 0, 3, 80, 224, 421, 632, 803, 883, 841, 682, 448, 206, 31, 0, 90, 334, 659, 983, 1219, 1304, 1214, 972, 646, 323, 87, 0, 58, 248, 500, 736, 888, 911, 801, 591, 342, 125, 6, 21, 170, 418, 698, 934, 1061, 1041, 880, 622, 339, 111, 1, 36, 204, 451, 706, 894, 966, 908, 745, 527, 310, 140, 36, 0, 0, 9, 20, 21, 13, 3, 0, 0, 0, 4, 10, 14, 17, 19, 20, 22, 24, 23, 16, 5, 0, 0, 22, 89, 196, 328, 458, 551, 580, 537, 434, 300, 171, 71, 14, 0, 0, 5, 10, 9, 4, 0, 0, 0, 0, 2, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 4, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 6, 9, 10, 9, 7, 4, 1, 0, 0, 1, 6, 14, 22, 28, 30, 27, 21, 13, 8, 7, 10, 16, 20, 23, 23, 21, 20, 20, 24, 28, 31, 31, 27, 20, 14, 12, 15, 22, 30, 32, 24, 7, 0, 0, 40, 133, 274, 437, 585, 678, 688, 613, 473, 309, 161, 56, 2, 0, 0, 11, 17, 17, 14, 13, 15, 17, 18, 14, 8, 2, 1, 7, 18, 31, 42, 47, 45, 36, 23, 11, 2, 0, 6, 18, 31, 44, 51, 53, 47, 38, 26, 17, 11, 10, 14, 21, 29, 38, 47, 52, 51, 41, 21, 0, 0, 13, 88, 217, 382, 548, 669, 709, 651, 508, 317, 132, 5, 0, 60, 243, 484, 720, 888, 939, 855, 659, 406, 169, 15, 0, 84, 279, 512, 715, 832, 836, 731, 555, 357, 183, 64, 5, 0, 0, 13, 17, 12, 3, 0, 0, 0, 3, 10, 15, 18, 19, 18, 16, 12, 9, 6, 4, 3, 2, 1, 1, 1, 4, 7, 10, 12, 13, 13, 12, 11, 11, 11, 12, 12, 11, 10, 8, 6, 7, 9, 11, 13, 12, 10, 7, 3, 1, 0, 0, 0, 0, 0, 0, 2, 5, 8, 11, 12, 10, 7, 4, 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, 1, 3, 6, 9, 11, 11, 9, 6, 3, 1, 0, 0, 0, 0, 2, 6, 10, 13, 14, 13, 10, 5, 1, 0, 0, 1, 4, 8, 11, 13, 15, 14, 13, 12, 11, 10, 9, 9, 11, 14, 18, 23, 28, 32, 33, 31, 27, 22, 16, 12, 11, 14, 21, 30, 37, 36, 24, 4, 0, 0, 46, 151, 302, 469, 609, 681, 664, 562, 407, 244, 109, 26, 0, 0, 4, 14, 14, 7, 0, 0, 0, 0, 3, 7, 9, 12, 14, 15, 15, 14, 12, 8, 4, 1, 0, 0, 2, 7, 14, 19, 21, 21, 18, 13, 7, 2, 0, 0, 0, 2, 7, 14, 20, 24, 25, 22, 17, 11, 7, 5, 5, 7, 11, 17, 24, 30, 30, 22, 6, 0, 0, 32, 123, 259, 416, 554, 635, 632, 548, 408, 253, 120, 33, 0, 0, 4, 17, 23, 23, 20, 19, 19, 18, 15, 11, 6, 5, 12, 24, 40, 54, 61, 58, 47, 32, 18, 9, 10, 20, 36, 52, 65, 71, 68, 57, 40, 23, 9, 2, 4, 13, 26, 39, 48, 50, 45, 36, 25, 16, 10, 9, 12, 18, 27, 38, 51, 64, 70, 64, 41, 9, 0, 0, 78, 238, 463, 710, 916, 1019, 985, 816, 560, 286, 72, 0, 21, 193, 442, 697, 884, 949, 873, 679, 421, 177, 17, 0, 96, 313, 573, 802, 935, 941, 824, 624, 399, 202, 65, 0, 0, 0, 24, 42, 45, 31, 5, 0, 0, 46, 186, 399, 651, 880, 1022, 1032, 908, 688, 436, 214, 65, 0, 0, 1, 18, 22, 14, 3, 0, 0, 0, 4, 9, 13, 15, 16, 15, 13, 11, 7, 3, 1, 0, 0, 2, 5, 8, 10, 11, 12, 12, 12, 11, 10, 8, 5, 3, 2, 3, 4, 6, 7, 7, 6, 4, 2, 1, 1, 3, 5, 6, 7, 7, 7, 7, 9, 12, 15, 17, 17, 15, 12, 8, 5, 4, 6, 11, 18, 26, 33, 40, 44, 44, 41, 34, 26, 16, 9, 4, 2, 4, 7, 9, 10, 9, 7, 3, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 11, 15, 16, 16, 13, 9, 8, 8, 9, 11, 12, 11, 8, 6, 5, 5, 7, 9, 9, 8, 6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 7, 10, 12, 12, 11, 9, 8, 7, 8, 9, 10, 11, 12, 12, 11, 10, 9, 8, 8, 9, 13, 20, 29, 38, 45, 47, 44, 35, 24, 12, 3, 0, 0, 6, 17, 31, 44, 50, 43, 24, 0, 0, 7, 83, 219, 395, 572, 701, 744, 687, 548, 369, 198, 72, 4, 0, 0, 11, 18, 14, 5, 0, 0, 0, 1, 4, 4, 3, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 1, 2, 5, 8, 12, 15, 17, 16, 14, 9, 3, 0, 0, 3, 13, 26, 38, 44, 44, 36, 24, 11, 2, 0, 0, 6, 14, 22, 28, 31, 30, 26, 20, 12, 5, 1, 1, 7, 19, 36, 56, 75, 86, 82, 59, 22, 0, 0, 54, 205, 432, 693, 926, 1064, 1063, 920, 673, 387, 140, 0, 0, 92, 305, 558, 782, 916, 927, 817, 623, 400, 203, 67, 0, 0, 0, 17, 31, 35, 31, 18, 0, 0, 0, 48, 167, 346, 553, 739, 850, 851, 743, 558, 349, 170, 50, 0, 0, 2, 14, 16, 8, 0, 0, 1, 12, 23, 30, 31, 27, 21, 15, 11, 10, 10, 12, 13, 14, 13, 12, 10, 7, 4, 1, 0, 0, 0, 7, 17, 23, 22, 10, 0, 0, 15, 90, 212, 363, 503, 590, 598, 522, 389, 238, 109, 26, 0, 0, 5, 15, 17, 10, 2, 0, 0, 1, 4, 5, 3, 0, 0, 2, 7, 14, 21, 25, 25, 20, 14, 7, 2, 0, 0, 1, 4, 6, 9, 10, 10, 9, 7, 6, 4, 2, 0, 0, 0, 4, 14, 27, 37, 35, 19, 0, 0, 10, 96, 248, 442, 636, 775, 817, 750, 593, 394, 206, 68, 0, 0, 8, 39, 59, 61, 49, 30, 12, 1, 0, 0, 8, 18, 28, 36, 42, 43, 40, 33, 24, 14, 6, 2, 2, 6, 15, 26, 38, 48, 54, 49, 33, 9, 0, 0, 44, 148, 295, 456, 588, 652, 626, 514, 346, 167, 27, 0, 5, 146, 362, 604, 811, 928, 924, 802, 600, 375, 181, 53, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 0, 0, 6, 24, 33, 34, 31, 25, 14, 0, 0, 0, 53, 172, 350, 557, 743, 854, 858, 753, 571, 363, 181, 57, 0, 0, 2, 17, 22, 15, 5, 0, 0, 0, 4, 6, 5, 4, 6, 14, 24, 32, 29, 12, 0, 0, 26, 131, 301, 507, 700, 822, 837, 740, 561, 354, 172, 50, 0, 0, 2, 17, 19, 12, 1, 0, 0, 1, 8, 14, 16, 15, 13, 10, 8, 7, 7, 7, 6, 4, 2, 0, 0, 0, 3, 8, 13, 16, 17, 16, 12, 8, 4, 0, 0, 0, 1, 5, 9, 13, 16, 15, 12, 8, 3, 0, 0, 0, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 8, 7, 6, 3, 0, 0, 0, 3, 12, 25, 39, 49, 53, 48, 37, 25, 16, 13, 17, 23, 29, 31, 27, 19, 11, 4, 0, 0, 0, 0, 0, 1, 4, 9, 15, 21, 23, 22, 17, 10, 4, 0, 0, 0, 1, 4, 7, 9, 12, 14, 15, 16, 17, 17, 15, 12, 8, 7, 10, 18, 27, 31, 23, 4, 0, 0, 50, 173, 353, 556, 730, 823, 807, 686, 498, 297, 132, 29, 0, 0, 9, 24, 25, 17, 5, 0, 0, 0, 5, 13, 22, 29, 34, 35, 32, 25, 16, 9, 5, 6, 10, 18, 25, 30, 31, 29, 24, 17, 10, 4, 2, 3, 8, 17, 26, 35, 41, 42, 39, 32, 24, 15, 8, 3, 1, 2, 5, 9, 13, 16, 17, 15, 12, 8, 4, 3, 3, 4, 5, 6, 8, 12, 20, 28, 32, 25, 7, 0, 0, 40, 158, 338, 549, 738, 850, 850, 738, 550, 340, 161, 44, 0, 0, 4, 18, 22, 16, 8, 3, 4, 6, 8, 7, 4, 2, 3, 8, 15, 21, 24, 22, 17, 10, 4, 0, 0, 0, 2, 6, 11, 16, 20, 22, 20, 17, 11, 6, 2, 1, 4, 10, 19, 30, 43, 53, 56, 47, 24, 0, 0, 9, 97, 251, 451, 650, 795, 841, 776, 619, 416, 222, 78, 1, 0, 1, 29, 49, 55, 50, 41, 32, 27, 26, 27, 28, 30, 34, 39, 46, 56, 64, 67, 58, 36, 6, 0, 0, 70, 208, 399, 603, 767, 841, 800, 651, 434, 209, 37, 0, 15, 176, 409, 653, 844, 932, 894, 748, 537, 319, 143, 35, 0, 0, 17, 37, 48, 50, 45, 35, 18, 0, 0, 2, 72, 210, 403, 617, 795, 889, 868, 740, 543, 331, 154, 39, 0, 0, 4, 26, 37, 34, 19, 0, 0, 0, 54, 169, 332, 512, 666, 749, 736, 633, 469, 290, 139, 40, 0, 0, 2, 13, 15, 9, 0, 0, 0, 0, 6, 13, 17, 18, 17, 15, 11, 6, 3, 1, 0, 1, 2, 4, 5, 6, 5, 4, 2, 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, 2, 5, 8, 11, 12, 12, 9, 6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 3, 3, 4, 6, 8, 9, 10, 10, 9, 6, 4, 1, 0, 0, 1, 5, 9, 13, 15, 14, 11, 7, 2, 0, 0, 1, 6, 14, 21, 27, 30, 29, 26, 22, 19, 19, 21, 23, 25, 26, 24, 23, 22, 23, 24, 26, 26, 23, 17, 10, 3, 0, 0, 2, 10, 18, 27, 32, 32, 29, 21, 13, 5, 0, 0, 1, 7, 14, 21, 26, 28, 26, 20, 14, 7, 3, 2, 5, 9, 15, 21, 28, 35, 41, 39, 28, 7, 0, 0, 43, 155, 323, 520, 697, 805, 812, 716, 546, 350, 176, 55, 0, 0, 0, 22, 37, 40, 29, 8, 0, 0, 24, 121, 277, 467, 649, 773, 801, 724, 567, 375, 197, 69, 3, 0, 0, 14, 22, 21, 15, 11, 11, 15, 19, 20, 18, 14, 11, 10, 12, 15, 18, 20, 19, 16, 13, 11, 10, 11, 11, 12, 12, 13, 16, 21, 26, 25, 16, 0, 0, 0, 46, 142, 276, 422, 540, 596, 574, 479, 342, 200, 87, 18, 0, 0, 6, 15, 17, 14, 11, 10, 12, 16, 21, 26, 30, 35, 40, 44, 47, 48, 45, 41, 34, 25, 16, 8, 2, 1, 4, 12, 23, 33, 40, 41, 37, 29, 21, 15, 13, 15, 19, 25, 32, 40, 47, 49, 41, 21, 0, 0, 9, 89, 232, 421, 619, 774, 843, 805, 672, 482, 287, 130, 32, 0, 0, 5, 19, 26, 28, 26, 20, 8, 0, 0, 14, 86, 209, 370, 531, 649, 689, 637, 511, 347, 190, 72, 8, 0, 0, 9, 15, 12, 4, 0, 0, 0, 0, 3, 4, 3, 1, 0, 0, 0, 1, 2, 4, 4, 4, 2, 1, 0, 0, 0, 2, 3, 3, 3, 2, 2, 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, 2, 5, 8, 11, 13, 14, 12, 10, 7, 3, 1, 0, 0, 0, 3, 6, 9, 11, 11, 9, 6, 3, 1, 0, 0, 0, 0, 0, 1, 3, 5, 6, 7, 5, 4, 2, 2, 5, 9, 13, 17, 18, 18, 15, 10, 6, 2, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 6, 4, 3, 2, 2, 3, 4, 8, 13, 20, 29, 36, 35, 22, 2, 0, 0, 55, 172, 341, 526, 682, 764, 746, 635, 464, 280, 128, 31, 0, 0, 9, 24, 29, 22, 11, 1, 0, 0, 5, 18, 33, 49, 64, 73, 77, 72, 62, 47, 32, 19, 14, 17, 27, 44, 62, 77, 85, 86, 79, 66, 50, 34, 22, 16, 20, 35, 61, 92, 119, 129, 115, 75, 24, 0, 2, 91, 262, 493, 735, 928, 1017, 975, 811, 566, 304, 92, 0, 0, 142, 369, 625, 844, 968, 965, 838, 620, 369, 147, 6, 0, 66, 247, 476, 694, 845, 887, 806, 623, 386, 160, 8, 0, 83, 304, 590, 868, 1069, 1141, 1070, 879, 625, 372, 170, 44, 0, 0, 9, 32, 46, 47, 35, 14, 0, 0, 13, 106, 267, 476, 689, 850, 911, 854, 697, 487, 280, 119, 25, 0, 0, 7, 17, 20, 19, 21, 25, 24, 13, 0, 0, 15, 92, 226, 401, 576, 707, 753, 702, 569, 394, 223, 91, 15, 0, 0, 11, 24, 29, 30, 30, 31, 32, 30, 26, 18, 11, 5, 5, 10, 20, 32, 43, 47, 41, 26, 6, 0, 0, 46, 137, 264, 404, 524, 592, 587, 512, 387, 246, 123, 38, 0, 0, 5, 23, 37, 46, 49, 45, 32, 11, 0, 0, 36, 140, 304, 503, 695, 828, 867, 798, 642, 442, 248, 99, 14, 0, 0, 22, 43, 49, 37, 15, 0, 0, 15, 88, 207, 355, 500, 605, 640, 595, 482, 334, 190, 79, 14, 0, 0, 7, 14, 13, 7, 2, 2, 7, 15, 24, 29, 30, 27, 22, 18, 16, 19, 26, 33, 32, 21, 2, 0, 0, 57, 177, 348, 539, 701, 789, 777, 668, 494, 306, 146, 42, 0, 0, 2, 13, 15, 9, 1, 0, 0, 0, 2, 5, 6, 7, 6, 5, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 3, 7, 13, 18, 21, 20, 16, 10, 4, 0, 0, 0, 5, 11, 15, 18, 17, 13, 8, 4, 2, 1, 2, 2, 2, 1, 3, 7, 15, 21, 20, 9, 0, 0, 16, 91, 220, 386, 552, 675, 719, 670, 544, 377, 214, 89, 16, 0, 0, 6, 13, 12, 5, 0, 0, 0, 0, 3, 4, 3, 1, 0, 0, 0, 2, 6, 10, 14, 18, 20, 21, 20, 18, 14, 11, 8, 6, 5, 4, 4, 3, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 4, 8, 11, 12, 10, 6, 2, 0, 0, 3, 10, 19, 25, 27, 25, 18, 11, 4, 0, 0, 0, 0, 0, 1, 2, 3, 5, 7, 7, 6, 5, 4, 2, 2, 1, 2, 5, 12, 22, 30, 30, 19, 0, 0, 1, 67, 195, 372, 566, 726, 808, 789, 674, 498, 309, 150, 45, 0, 0, 1, 12, 14, 8, 0, 0, 0, 0, 2, 4, 4, 3, 0, 0, 0, 1, 5, 8, 10, 11, 8, 5, 1, 0, 0, 4, 8, 13, 15, 15, 12, 8, 3, 0, 0, 0, 3, 9, 16, 22, 25, 25, 21, 15, 7, 1, 0, 0, 3, 10, 19, 27, 32, 33, 30, 23, 15, 7, 1, 0, 0, 4, 12, 22, 33, 39, 38, 28, 10, 0, 0, 32, 111, 230, 371, 502, 589, 604, 538, 405, 238, 83, 0, 0, 109, 323, 591, 849, 1029, 1084, 1001, 807, 557, 316, 131, 24, 0, 0, 18, 35, 36, 26, 11, 0, 0, 0, 4, 12, 18, 22, 22, 19, 14, 8, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 8, 8, 7, 3, 0, 0, 0, 6, 17, 29, 39, 40, 31, 13, 0, 0, 24, 99, 214, 350, 474, 554, 567, 510, 400, 269, 147, 57, 8, 0, 0, 9, 15, 14, 8, 2, 0, 0, 0, 0, 2, 3, 3, 2, 1, 0, 0, 1, 3, 6, 9, 11, 12, 11, 9, 7, 6, 6, 7, 8, 8, 6, 5, 3, 1, 0, 0, 1, 5, 11, 19, 22, 18, 6, 0, 0, 24, 97, 214, 357, 494, 588, 612, 558, 443, 299, 164, 63, 8, 0, 0, 7, 11, 9, 3, 0, 0, 0, 0, 1, 1, 2, 5, 11, 18, 26, 31, 32, 28, 22, 16, 12, 12, 15, 20, 26, 30, 31, 29, 25, 20, 16, 13, 12, 12, 12, 11, 10, 9, 9, 10, 11, 13, 14, 13, 11, 7, 4, 2, 3, 8, 17, 25, 29, 23, 9, 0, 0, 24, 105, 237, 401, 562, 679, 720, 674, 554, 394, 235, 108, 30, 0, 0, 2, 10, 11, 8, 5, 6, 9, 15, 20, 24, 26, 28, 31, 35, 38, 38, 35, 29, 21, 12, 4, 0, 0, 3, 11, 22, 33, 42, 46, 43, 34, 21, 9, 0, 0, 4, 17, 34, 51, 63, 68, 65, 54, 39, 25, 15, 13, 17, 28, 44, 59, 72, 79, 75, 58, 32, 4, 0, 8, 75, 194, 353, 520, 655, 718, 686, 562, 377, 183, 38, 0, 64, 249, 505, 770, 974, 1063, 1013, 837, 583, 320, 117, 26, 65, 215, 427, 637, 786, 835, 775, 631, 443, 259, 114, 26, 0, 0, 16, 38, 50, 46, 27, 1, 0, 0, 65, 196, 381, 591, 776, 889, 900, 807, 636, 432, 242, 100, 19, 0, 0, 18, 38, 50, 53, 50, 43, 33, 22, 12, 6, 6, 14, 29, 51, 73, 89, 93, 79, 49, 14, 0, 5, 76, 211, 397, 601, 774, 871, 860, 741, 540, 309, 110, 0, 0, 116, 321, 557, 764, 888, 902, 808, 635, 431, 241, 99, 17, 0, 1, 28, 57, 79, 88, 83, 63, 31, 0, 0, 25, 128, 303, 532, 773, 969, 1069, 1041, 888, 648, 382, 156, 25, 17, 123, 307, 512, 679, 765, 751, 647, 487, 314, 164, 61, 8, 0, 0, 10, 18, 21, 20, 15, 6, 0, 0, 6, 54, 145, 273, 415, 539, 612, 614, 544, 424, 283, 155, 62, 11, 0, 0, 6, 11, 10, 6, 2, 0, 1, 2, 3, 2, 1, 0, 0, 1, 4, 8, 10, 11, 10, 7, 4, 2, 1, 1, 3, 5, 10, 15, 20, 20, 14, 3, 0, 0, 30, 102, 210, 337, 453, 527, 538, 482, 377, 250, 132, 47, 1, 0, 2, 20, 34, 40, 38, 30, 20, 10, 3, 0, 0, 5, 14, 26, 38, 47, 50, 47, 37, 25, 12, 3, 1, 4, 13, 24, 36, 46, 51, 48, 36, 15, 0, 0, 31, 123, 270, 452, 632, 762, 804, 741, 589, 388, 197, 71, 52, 147, 335, 566, 778, 912, 931, 830, 636, 405, 201, 81, 79, 194, 389, 609, 790, 883, 866, 748, 565, 365, 191, 71, 9, 0, 1, 15, 22, 20, 12, 4, 1, 2, 7, 12, 16, 18, 18, 17, 16, 15, 15, 15, 16, 16, 17, 18, 20, 22, 27, 33, 37, 34, 23, 5, 0, 0, 46, 149, 303, 485, 656, 772, 802, 738, 597, 419, 245, 110, 28, 0, 0, 3, 11, 11, 5, 0, 0, 0, 0, 3, 8, 12, 17, 22, 26, 29, 29, 27, 23, 19, 16, 15, 17, 20, 23, 25, 26, 24, 22, 18, 15, 13, 12, 11, 12, 13, 16, 20, 24, 28, 30, 29, 25, 20, 13, 6, 1, 0, 0, 1, 7, 15, 22, 26, 27, 24, 18, 11, 5, 1, 0, 0, 2, 6, 13, 21, 27, 27, 17, 1, 0, 6, 66, 181, 344, 527, 690, 787, 790, 692, 518, 313, 136, 34, 38, 148, 335, 547, 727, 830, 830, 733, 568, 379, 209, 86, 18, 0, 0, 7, 11, 9, 3, 0, 0, 0, 1, 3, 4, 3, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 3, 7, 10, 12, 13, 12, 11, 9, 8, 8, 10, 11, 11, 11, 11, 10, 10, 11, 13, 14, 14, 12, 9, 6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 7, 10, 11, 11, 8, 5, 2, 0, 0, 1, 5, 9, 14, 17, 18, 16, 13, 9, 4, 1, 0, 0, 0, 1, 2, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 4, 8, 11, 11, 10, 7, 3, 0, 0, 0, 2, 5, 6, 7, 6, 5, 3, 3, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 3, 7, 11, 15, 17, 17, 16, 15, 16, 18, 23, 27, 28, 26, 21, 14, 7, 1, 0, 0, 3, 8, 13, 18, 21, 24, 26, 27, 28, 27, 25, 21, 16, 11, 7, 5, 5, 5, 6, 5, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 6, 12, 17, 20, 19, 15, 8, 2, 0, 0, 5, 13, 21, 27, 29, 26, 21, 14, 7, 2, 0, 0, 1, 5, 9, 13, 17, 20, 21, 21, 18, 14, 10, 7, 6, 10, 17, 28, 39, 49, 51, 42, 23, 0, 0, 11, 85, 216, 390, 575, 728, 811, 803, 706, 547, 366, 202, 81, 15, 0, 6, 30, 53, 68, 70, 58, 35, 8, 0, 0, 58, 179, 357, 567, 765, 907, 956, 900, 755, 558, 354, 183, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 70, 20, 21, 50, 84, 102, 96, 67, 27, 0, 0, 53, 173, 349, 555, 748, 883, 925, 860, 702, 491, 279, 121, 57, 102, 246, 451, 666, 836, 920, 895, 769, 575, 361, 182, 82, 86, 190, 366, 569, 747, 855, 866, 779, 616, 419, 236, 116, 86, 154, 301, 487, 662, 783, 819, 765, 635, 464, 290, 145, 50, 7, 6, 28, 55, 70, 65, 43, 12, 0, 0, 52, 163, 320, 498, 659, 765, 789, 728, 596, 429, 262, 128, 41, 1, 0, 6, 21, 32, 37, 36, 34, 31, 28, 25, 23, 25, 31, 44, 61, 76, 83, 76, 52, 19, 0, 2, 62, 187, 368, 579, 775, 910, 951, 883, 722, 507, 293, 130, 57, 86, 205, 379, 558, 697, 761, 737, 634, 481, 315, 170, 67, 12, 0, 0, 11, 18, 18, 14, 10, 9, 13, 18, 24, 28, 30, 28, 25, 20, 15, 11, 7, 4, 3, 5, 10, 18, 27, 36, 42, 43, 37, 27, 16, 7, 5, 9, 17, 28, 35, 38, 36, 29, 23, 18, 17, 20, 24, 28, 30, 30, 28, 25, 21, 17, 13, 8, 4, 1, 0, 0, 2, 5, 7, 7, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 7, 13, 19, 23, 23, 20, 15, 11, 9, 11, 16, 22, 25, 25, 21, 15, 8, 2, 0, 1, 6, 12, 18, 22, 25, 24, 22, 19, 15, 13, 13, 15, 19, 24, 28, 29, 28, 23, 17, 10, 4, 0, 0, 0, 2, 6, 11, 17, 22, 25, 25, 22, 17, 11, 6, 2, 0, 1, 6, 14, 25, 36, 42, 40, 26, 6, 0, 0, 52, 160, 321, 509, 687, 813, 856, 806, 678, 504, 324, 172, 67, 12, 0, 0, 11, 20, 26, 28, 30, 33, 36, 38, 40, 40, 41, 42, 44, 47, 50, 49, 41, 24, 3, 0, 1, 58, 171, 336, 529, 712, 843, 889, 839, 707, 525, 337, 179, 70, 13, 0, 0, 5, 8, 5, 0, 0, 0, 0, 1, 2, 3, 3, 4, 6, 10, 13, 16, 16, 14, 13, 12, 12, 13, 15, 15, 13, 9, 5, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 3, 5, 7, 7, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 10, 13, 16, 16, 14, 10, 7, 5, 4, 5, 7, 9, 10, 9, 8, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 7, 10, 13, 13, 11, 8, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 6, 8, 9, 9, 7, 6, 6, 8, 12, 17, 22, 25, 27, 27, 27, 26, 23, 19, 13, 7, 4, 3, 7, 14, 23, 31, 38, 40, 37, 31, 22, 14, 9, 11, 20, 37, 58, 78, 90, 89, 73, 44, 13, 0, 7, 68, 181, 338, 514, 677, 791, 832, 791, 679, 524, 358, 213, 108, 49, 29, 34, 47, 53, 44, 23, 1, 0, 22, 100, 231, 404, 591, 753, 855, 872, 796, 647, 459, 278, 145, 92, 127, 237, 390, 546, 665, 716, 690, 596, 457, 306, 173, 76, 20, 0, 0, 2, 6, 5, 2, 0, 0, 0, 0, 1, 3, 4, 6, 8, 9, 10, 8, 6, 3, 1, 0, 0, 0, 0, 1, 3, 3, 4, 3, 2, 1, 1, 2, 4, 7, 10, 13, 16, 19, 20, 16, 7, 0, 0, 14, 69, 167, 300, 448, 580, 665, 683, 628, 516, 374, 233, 118, 43, 5, 0, 0, 6, 9, 9, 9, 10, 12, 16, 19, 20, 20, 19, 19, 19, 18, 16, 12, 8, 3, 1, 0, 0, 0, 0, 0, 2, 5, 8, 11, 12, 11, 7, 3, 0, 0, 0, 4, 9, 14, 15, 11, 3, 0, 0, 23, 74, 154, 254, 356, 439, 483, 479, 426, 339, 237, 141, 67, 21, 0, 0, 0, 3, 4, 1, 0, 0, 0, 2, 4, 6, 5, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 7, 10, 11, 10, 6, 2, 0, 0, 1, 5, 11, 16, 19, 18, 15, 10, 5, 2, 0, 0, 0, 0, 3, 9, 16, 22, 26, 25, 19, 11, 5, 4, 8, 17, 27, 36, 42, 45, 44, 39, 28, 12, 0, 0, 16, 86, 207, 369, 544, 697, 790, 802, 733, 601, 439, 280, 150, 61, 12, 0, 0, 8, 15, 14, 5, 0, 0, 19, 87, 204, 359, 531, 684, 783, 805, 744, 615, 451, 285, 148, 56, 9, 0, 0, 5, 7, 4, 0, 0, 0, 0, 2, 3, 4, 5, 8, 15, 24, 32, 36, 33, 25, 16, 14, 31, 74, 146, 241, 345, 437, 499, 516, 485, 414, 319, 220, 133, 70, 31, 15, 11, 14, 17, 19, 18, 18, 18, 19, 21, 24, 27, 30, 34, 38, 41, 43, 42, 39, 35, 30, 27, 28, 32, 40, 49, 59, 67, 70, 68, 59, 44, 27, 12, 8, 22, 60, 124, 210, 306, 395, 460, 487, 469, 410, 322, 224, 135, 69, 30, 16, 18, 26, 31, 30, 23, 15, 11, 12, 19, 30, 42, 50, 55, 55, 49, 37, 19, 1, 0, 5, 58, 160, 308, 486, 661, 799, 868, 853, 755, 600, 420, 251, 120, 38, 1, 0, 0, 6, 8, 4, 0, 0, 0, 0, 2, 3, 3, 2, 1, 0, 0, 0, 1, 5, 8, 11, 13, 14, 13, 11, 10, 9, 9, 9, 8, 6, 3, 1, 0, 0, 3, 7, 12, 17, 21, 24, 27, 28, 28, 26, 23, 20, 18, 19, 22, 29, 36, 41, 45, 46, 45, 43, 40, 39, 38, 37, 35, 33, 30, 27, 24, 22, 20, 19, 18, 17, 16, 15, 14, 12, 12, 11, 13, 15, 17, 19, 20, 20, 20, 19, 20, 20, 19, 15, 8, 0, 0, 8, 39, 97, 179, 278, 376, 457, 502, 503, 458, 378, 279, 181, 99, 42, 9, 0, 0, 6, 13, 19, 22, 24, 26, 29, 33, 37, 40, 42, 43, 42, 41, 40, 40, 41, 43, 45, 47, 48, 48, 49, 50, 50, 48, 44, 37, 31, 26, 25, 28, 35, 43, 50, 55, 55, 53, 48, 41, 34, 28, 24, 24, 28, 36, 45, 52, 51, 41, 23, 4, 0, 22, 92, 212, 377, 563, 738, 865, 913, 872, 748, 571, 382, 225, 132, 120, 182, 294, 423, 532, 594, 596, 540, 442, 325, 210, 116, 51, 15, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 3, 6, 8, 10, 9, 6, 3, 0, 0, 1, 5, 8, 9, 8, 5, 2, 0, 0, 1, 2, 3, 2, 1, 0, 1, 4, 8, 12, 15, 16, 14, 12, 9, 6, 3, 1, 0, 1, 4, 12, 22, 33, 41, 44, 39, 26, 10, 0, 3, 35, 99, 195, 311, 428, 523, 576, 576, 523, 429, 315, 204, 112, 49, 16, 5, 7, 14, 18, 19, 19, 19, 21, 27, 36, 48, 61, 74, 83, 86, 78, 59, 32, 6, 0, 22, 99, 233, 412, 612, 797, 929, 980, 940, 820, 646, 453, 277, 140, 53, 11, 3, 10, 18, 19, 10, 0, 0, 10, 61, 151, 274, 414, 546, 643, 684, 661, 578, 455, 317, 191, 94, 32, 3, 0, 0, 3, 4, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 3, 5, 7, 10, 13, 16, 18, 20, 21, 22, 22, 21, 20, 18, 17, 16, 16, 18, 20, 23, 25, 25, 24, 22, 20, 21, 24, 29, 36, 42, 46, 47, 45, 40, 33, 26, 18, 12, 7, 4, 4, 6, 9, 13, 16, 16, 13, 8, 3, 1, 3, 7, 15, 22, 29, 34, 35, 31, 23, 9, 0, 0, 17, 75, 174, 307, 452, 582, 668, 692, 648, 549, 417, 280, 162, 75, 24, 1, 0, 0, 3, 3, 1, 0, 0, 0, 3, 8, 11, 13, 13, 11, 11, 11, 13, 16, 19, 21, 21, 18, 14, 11, 8, 8, 9, 11, 12, 10, 5, 0, 0, 9, 38, 89, 162, 249, 337, 410, 452, 453, 413, 340, 249, 158, 83, 32, 6, 0, 0, 2, 4, 2, 0, 0, 0, 1, 5, 9, 12, 14, 14, 13, 12, 13, 13, 13, 13, 12, 11, 11, 15, 20, 27, 32, 33, 28, 20, 10, 2, 0, 1, 9, 19, 27, 32, 31, 26, 21, 16, 15, 16, 21, 26, 32, 36, 40, 42, 44, 46, 46, 45, 44, 43, 42, 44, 48, 55, 63, 71, 75, 74, 65, 52, 42, 44, 68, 121, 203, 303, 404, 484, 525, 515, 454, 359, 253, 165, 122, 140, 221, 350, 500, 638, 732, 761, 721, 621, 484, 338, 208, 109, 46, 13, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 6, 8, 9, 9, 9, 8, 8, 8, 7, 6, 4, 3, 1, 0, 0, 0, 2, 6, 11, 15, 17, 15, 12, 8, 6, 8, 13, 21, 27, 31, 31, 29, 27, 26, 27, 30, 34, 37, 38, 37, 36, 37, 39, 43, 46, 46, 43, 36, 27, 20, 15, 15, 19, 25, 30, 32, 32, 28, 24, 20, 18, 17, 18, 19, 20, 21, 21, 23, 26, 30, 33, 33, 28, 18, 6, 0, 4, 32, 88, 173, 277, 385, 479, 541, 559, 530, 462, 368, 267, 173, 98, 46, 16, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 5, 6, 6, 5, 3, 2, 2, 3, 6, 8, 10, 10, 9, 8, 7, 7, 8, 8, 7, 6, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 5, 5, 4, 2, 1, 0, 0, 0, 0, 2, 3, 4, 5, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 9, 10, 10, 9, 8, 7, 5, 2, 0, 0, 2, 18, 48, 93, 147, 202, 246, 269, 265, 237, 191, 137, 87, 50, 28, 20, 22, 27, 29, 26, 19, 12, 8, 10, 19, 30, 40, 45, 44, 40, 38, 42, 55, 74, 93, 106, 108, 97, 78, 57, 40, 31, 30, 34, 37, 37, 35, 32, 30, 32, 37, 45, 52, 58, 60, 60, 57, 53, 49, 45, 42, 40, 40, 41, 45, 51, 59, 68, 75, 79, 79, 77, 78, 88, 115, 166, 242, 343, 460, 583, 696, 782, 827, 823, 769, 674, 557, 441, 350, 303, 305, 351, 423, 498, 554, 575, 555, 498, 415, 321, 229, 149, 87, 44, 19, 7, 4, 6, 7, 7, 7, 10, 24, 58, 116, 200, 305, 419, 527, 609, 653, 648, 596, 506, 393, 275, 170, 89, 35, 8, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 3, 12, 25, 40, 56, 69, 79, 84, 85, 83, 78, 70, 60, 49, 38, 29, 22, 19, 18, 18, 17, 15, 11, 8, 6, 7, 9, 14, 19, 23, 27, 28, 28, 27, 25, 24, 23, 23, 25, 28, 33, 39, 45, 49, 49, 47, 42, 38, 34, 32, 31],
"peakG": [1968, 1973, 1980, 1988, 1995, 1996, 1986, 1965, 1937, 1905, 1871, 1838, 1807, 1780, 1755, 1730, 1702, 1669, 1630, 1585, 1536, 1485, 1436, 1392, 1356, 1325, 1301, 1283, 1272, 1268, 1274, 1289, 1315, 1350, 1396, 1454, 1531, 1633, 1765, 1928, 2121, 2340, 2582, 2846, 3135, 3454, 3804, 4186, 4591, 5012, 5437, 5860, 6276, 6686, 7094, 7497, 7892, 8269, 8618, 8928, 9192, 9408, 9580, 9709, 9797, 9841, 9831, 9760, 9620, 9414, 9150, 8843, 8509, 8157, 7789, 7399, 6976, 6513, 6013, 5490, 4966, 4462, 3996, 3571, 3184, 2823, 2479, 2148, 1835, 1549, 1300, 1093, 929, 799, 694, 604, 522, 446, 375, 313, 263, 223, 195, 175, 160, 148, 137, 126, 115, 103, 91, 79, 69, 61, 55, 51, 49, 48, 48, 48, 47, 45, 42, 37, 33, 28, 25, 24, 25, 28, 31, 33, 34, 32, 29, 24, 21, 19, 19, 21, 25, 27, 29, 29, 27, 23, 18, 13, 9, 7, 7, 9, 12, 14, 15, 13, 10, 7, 5, 3, 3, 3, 3, 3, 3, 4, 7, 10, 13, 14, 13, 11, 9, 8, 9, 13, 17, 20, 22, 22, 21, 19, 18, 17, 16, 14, 13, 12, 12, 13, 15, 17, 19, 19, 19, 19, 21, 23, 27, 31, 34, 34, 32, 28, 24, 21, 19, 20, 22, 25, 27, 28, 26, 23, 18, 15, 14, 15, 17, 18, 19, 17, 14, 11, 10, 10, 12, 15, 18, 21, 22, 22, 22, 22, 21, 21, 19, 17, 15, 14, 14, 17, 20, 24, 26, 28, 28, 27, 27, 26, 26, 25, 24, 22, 20, 17, 15, 14, 13, 12, 11, 11, 11, 13, 15, 17, 18, 18, 17, 15, 13, 13, 16, 23, 36, 54, 81, 116, 160, 213, 274, 341, 409, 472, 525, 561, 574, 562, 526, 469, 399, 324, 251, 185, 130, 86, 54, 31, 17, 9, 7, 8, 11, 14, 15, 15, 13, 10, 7, 6, 6, 8, 13, 19, 28, 40, 57, 82, 118, 170, 239, 323, 417, 513, 599, 663, 698, 700, 669, 611, 533, 443, 351, 261, 181, 114, 63, 28, 8, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 6, 6, 7, 8, 10, 12, 13, 12, 10, 7, 3, 1, 0, 0, 0, 0, 0, 0, 3, 9, 16, 24, 32, 36, 38, 36, 33, 29, 26, 25, 25, 25, 26, 26, 26, 26, 26, 27, 27, 28, 29, 29, 30, 33, 36, 41, 46, 51, 53, 53, 50, 44, 37, 28, 20, 13, 8, 6, 6, 8, 16, 30, 56, 99, 161, 243, 341, 445, 543, 619, 661, 662, 624, 554, 467, 379, 306, 259, 248, 275, 335, 419, 515, 606, 675, 710, 703, 652, 567, 460, 347, 242, 155, 90, 47, 22, 9, 4, 4, 7, 12, 19, 27, 35, 41, 45, 47, 46, 43, 38, 32, 26, 21, 17, 15, 15, 18, 21, 25, 28, 30, 30, 31, 31, 33, 36, 40, 44, 47, 46, 42, 36, 34, 44, 74, 135, 232, 365, 527, 701, 865, 995, 1069, 1074, 1009, 884, 716, 533, 359, 213, 107, 41, 8, 0, 0, 1, 3, 2, 1, 1, 3, 6, 9, 11, 13, 14, 14, 15, 15, 16, 18, 21, 24, 26, 27, 26, 23, 18, 13, 10, 8, 10, 14, 19, 22, 22, 18, 11, 4, 0, 0, 1, 7, 10, 9, 5, 4, 20, 66, 153, 282, 441, 609, 756, 856, 891, 857, 761, 624, 469, 320, 194, 100, 40, 9, 0, 0, 1, 6, 10, 14, 18, 21, 24, 24, 21, 16, 11, 6, 2, 0, 0, 1, 4, 8, 12, 14, 15, 14, 12, 10, 8, 8, 9, 10, 11, 11, 10, 8, 7, 6, 6, 6, 6, 7, 6, 5, 4, 3, 2, 2, 3, 3, 3, 2, 1, 0, 1, 3, 9, 18, 29, 40, 47, 50, 47, 41, 39, 50, 85, 151, 248, 369, 499, 615, 698, 730, 706, 630, 515, 383, 254, 146, 68, 22, 1, 0, 0, 4, 6, 8, 9, 11, 13, 13, 12, 9, 5, 2, 0, 0, 0, 0, 2, 6, 10, 16, 20, 24, 24, 22, 17, 11, 6, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 7, 14, 21, 26, 27, 24, 18, 11, 4, 0, 0, 1, 5, 10, 15, 20, 25, 31, 37, 43, 46, 47, 45, 41, 34, 27, 20, 12, 5, 0, 0, 13, 41, 91, 160, 243, 330, 406, 458, 475, 454, 398, 318, 228, 143, 74, 28, 4, 0, 0, 5, 7, 7, 4, 2, 4, 8, 15, 23, 28, 30, 28, 23, 16, 10, 5, 2, 2, 4, 7, 13, 20, 28, 35, 39, 40, 38, 32, 26, 21, 17, 15, 16, 17, 20, 22, 25, 28, 29, 29, 26, 21, 15, 10, 10, 16, 24, 32, 31, 20, 4, 0, 19, 97, 250, 478, 761, 1056, 1311, 1471, 1503, 1399, 1180, 895, 598, 341, 155, 45, 0, 0, 1, 8, 8, 3, 0, 0, 0, 1, 4, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 8, 13, 17, 19, 20, 18, 14, 11, 7, 4, 3, 1, 0, 0, 0, 0, 3, 6, 12, 17, 23, 27, 30, 30, 28, 23, 18, 13, 9, 8, 9, 13, 19, 24, 29, 30, 30, 26, 21, 15, 9, 7, 7, 12, 20, 31, 42, 52, 58, 61, 59, 53, 45, 36, 27, 21, 18, 18, 21, 26, 32, 37, 40, 41, 39, 35, 28, 21, 15, 10, 7, 9, 13, 20, 28, 37, 45, 50, 52, 49, 42, 32, 22, 16, 15, 20, 28, 34, 35, 29, 22, 26, 56, 126, 238, 386, 548, 695, 797, 832, 788, 675, 511, 329, 162, 41, 0, 22, 134, 307, 509, 700, 838, 894, 856, 737, 566, 382, 219, 100, 29, 0, 0, 0, 4, 7, 7, 4, 0, 0, 0, 21, 80, 182, 324, 487, 640, 750, 792, 754, 647, 496, 332, 188, 83, 22, 0, 0, 2, 6, 5, 2, 0, 0, 0, 0, 2, 3, 4, 6, 9, 13, 18, 23, 27, 30, 30, 28, 24, 18, 11, 5, 1, 0, 0, 4, 9, 15, 21, 25, 27, 28, 27, 23, 18, 13, 9, 7, 10, 17, 26, 37, 45, 48, 45, 36, 25, 13, 5, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 8, 10, 11, 9, 6, 3, 1, 0, 0, 0, 0, 0, 0, 1, 5, 10, 15, 19, 22, 24, 24, 26, 28, 32, 37, 43, 48, 52, 54, 53, 48, 40, 30, 19, 9, 1, 0, 0, 7, 20, 35, 48, 57, 57, 50, 37, 22, 8, 0, 0, 4, 17, 32, 43, 41, 24, 0, 0, 23, 142, 362, 668, 1012, 1321, 1520, 1556, 1419, 1145, 799, 457, 182, 13, 0, 27, 185, 409, 660, 891, 1053, 1108, 1041, 870, 636, 395, 195, 63, 1, 0, 0, 13, 16, 10, 1, 0, 0, 2, 14, 28, 42, 54, 60, 61, 54, 43, 30, 19, 13, 13, 20, 31, 43, 51, 54, 50, 41, 28, 15, 5, 0, 0, 9, 25, 45, 67, 84, 95, 96, 87, 70, 50, 29, 14, 6, 9, 21, 38, 52, 55, 41, 13, 0, 0, 75, 241, 497, 808, 1114, 1344, 1439, 1370, 1153, 840, 504, 216, 31, 0, 41, 203, 416, 628, 791, 870, 849, 739, 568, 379, 210, 88, 19, 0, 0, 9, 18, 21, 21, 20, 20, 22, 22, 22, 20, 19, 18, 20, 24, 27, 29, 28, 24, 18, 12, 8, 8, 12, 21, 31, 41, 44, 39, 24, 5, 0, 7, 58, 153, 287, 437, 571, 656, 669, 606, 483, 333, 191, 82, 19, 0, 0, 4, 10, 11, 9, 7, 9, 12, 15, 16, 14, 9, 4, 0, 0, 0, 3, 9, 15, 21, 24, 24, 20, 15, 8, 3, 0, 0, 0, 2, 8, 16, 25, 33, 37, 36, 31, 23, 13, 6, 1, 0, 0, 1, 4, 8, 12, 16, 21, 24, 26, 25, 22, 18, 14, 12, 13, 17, 24, 34, 45, 57, 66, 70, 69, 62, 51, 40, 31, 30, 38, 52, 68, 78, 76, 60, 34, 12, 11, 46, 126, 245, 383, 507, 588, 603, 548, 439, 305, 177, 80, 21, 0, 0, 1, 9, 17, 29, 42, 50, 47, 27, 0, 0, 24, 135, 331, 589, 860, 1077, 1184, 1151, 987, 734, 454, 208, 40, 0, 3, 117, 286, 473, 638, 742, 762, 693, 555, 384, 221, 95, 21, 0, 0, 8, 19, 22, 20, 16, 13, 11, 9, 8, 7, 8, 12, 20, 29, 38, 43, 41, 31, 15, 0, 0, 10, 61, 145, 252, 361, 444, 479, 456, 382, 278, 170, 82, 24, 0, 0, 1, 7, 10, 10, 9, 10, 13, 16, 19, 21, 21, 22, 24, 28, 33, 38, 37, 29, 14, 0, 0, 15, 78, 184, 319, 457, 563, 607, 577, 481, 346, 207, 95, 24, 0, 0, 4, 13, 17, 16, 14, 14, 17, 21, 23, 23, 21, 18, 15, 13, 10, 8, 6, 4, 2, 0, 0, 0, 0, 1, 3, 6, 10, 12, 13, 13, 11, 8, 5, 2, 0, 0, 0, 0, 2, 4, 7, 9, 9, 8, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 3, 8, 15, 23, 29, 34, 36, 34, 31, 26, 21, 16, 10, 6, 4, 4, 8, 13, 19, 23, 25, 22, 17, 11, 5, 1, 0, 0, 0, 1, 4, 7, 11, 12, 12, 10, 7, 4, 2, 1, 2, 4, 8, 14, 21, 25, 24, 14, 0, 0, 6, 64, 175, 330, 502, 651, 739, 739, 653, 504, 331, 176, 65, 6, 0, 0, 12, 23, 28, 31, 34, 37, 39, 37, 29, 17, 5, 0, 0, 10, 29, 48, 61, 61, 46, 22, 1, 0, 37, 116, 233, 367, 488, 565, 577, 520, 406, 259, 115, 7, 0, 27, 183, 420, 695, 946, 1110, 1143, 1038, 825, 563, 317, 133, 27, 0, 0, 1, 13, 19, 21, 19, 10, 0, 0, 2, 82, 244, 481, 754, 1000, 1154, 1170, 1046, 816, 545, 297, 117, 18, 0, 0, 12, 19, 15, 6, 0, 0, 2, 8, 12, 12, 8, 3, 0, 0, 0, 2, 6, 8, 10, 10, 8, 5, 1, 0, 0, 2, 6, 11, 15, 16, 15, 12, 7, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 3, 8, 14, 21, 27, 31, 31, 29, 25, 20, 15, 11, 9, 9, 11, 15, 19, 23, 24, 22, 18, 12, 6, 1, 0, 0, 2, 7, 13, 18, 22, 24, 22, 16, 10, 4, 2, 6, 17, 32, 50, 66, 76, 79, 73, 61, 45, 28, 13, 3, 0, 1, 10, 24, 41, 57, 69, 74, 70, 58, 41, 22, 5, 0, 0, 11, 31, 51, 61, 54, 33, 7, 0, 36, 133, 295, 501, 710, 875, 953, 923, 792, 591, 365, 161, 18, 0, 12, 164, 397, 670, 926, 1104, 1156, 1067, 861, 588, 314, 101, 0, 0, 95, 272, 476, 658, 773, 793, 715, 557, 356, 162, 19, 0, 24, 189, 433, 704, 936, 1069, 1066, 932, 707, 452, 229, 77, 2, 0, 0, 12, 20, 19, 17, 16, 12, 2, 0, 0, 34, 132, 289, 481, 667, 794, 826, 752, 596, 403, 221, 86, 12, 0, 0, 9, 15, 12, 3, 0, 0, 0, 5, 11, 14, 15, 13, 11, 9, 6, 4, 2, 0, 0, 0, 3, 6, 8, 10, 9, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 8, 9, 10, 9, 8, 7, 6, 4, 3, 2, 1, 1, 1, 1, 1, 1, 3, 6, 11, 18, 24, 27, 23, 11, 0, 0, 13, 72, 175, 307, 442, 546, 589, 560, 466, 335, 200, 91, 23, 0, 0, 6, 21, 33, 42, 48, 52, 52, 48, 38, 25, 13, 4, 0, 2, 9, 16, 23, 28, 31, 32, 30, 27, 23, 19, 16, 17, 22, 27, 28, 18, 1, 0, 0, 59, 180, 357, 559, 739, 846, 849, 747, 570, 366, 186, 61, 0, 0, 0, 13, 19, 15, 8, 4, 4, 6, 8, 7, 5, 3, 3, 7, 13, 18, 21, 19, 14, 8, 2, 0, 0, 0, 3, 7, 10, 11, 10, 8, 5, 3, 0, 0, 0, 0, 0, 1, 3, 5, 6, 6, 5, 5, 6, 9, 16, 24, 31, 36, 35, 31, 23, 15, 7, 2, 0, 0, 1, 7, 16, 27, 37, 44, 46, 44, 38, 31, 24, 20, 20, 22, 27, 32, 33, 27, 14, 0, 0, 7, 55, 137, 243, 348, 424, 450, 417, 336, 231, 130, 54, 11, 0, 0, 3, 7, 11, 18, 29, 39, 36, 18, 0, 0, 29, 157, 372, 641, 902, 1084, 1131, 1029, 810, 539, 286, 103, 7, 0, 0, 15, 24, 20, 13, 11, 17, 28, 37, 38, 30, 18, 8, 3, 5, 13, 22, 29, 31, 28, 21, 13, 6, 2, 3, 7, 14, 21, 27, 28, 26, 20, 13, 7, 5, 7, 13, 21, 29, 33, 33, 29, 23, 16, 9, 3, 0, 0, 1, 8, 20, 35, 49, 58, 58, 50, 36, 20, 8, 4, 10, 25, 47, 70, 84, 83, 62, 25, 0, 0, 46, 186, 399, 650, 876, 1015, 1027, 906, 692, 444, 225, 74, 0, 0, 0, 19, 34, 43, 52, 61, 62, 48, 19, 0, 0, 66, 225, 459, 727, 960, 1093, 1087, 943, 699, 421, 174, 10, 0, 22, 184, 409, 648, 845, 951, 940, 811, 597, 352, 136, 1, 0, 61, 237, 458, 668, 811, 850, 778, 619, 418, 227, 86, 9, 0, 0, 16, 26, 24, 17, 10, 8, 13, 21, 28, 32, 34, 34, 33, 32, 31, 29, 25, 20, 13, 6, 2, 2, 7, 17, 29, 40, 48, 49, 44, 33, 22, 12, 6, 6, 11, 22, 38, 55, 65, 59, 34, 0, 0, 4, 117, 327, 608, 900, 1123, 1212, 1138, 926, 640, 358, 142, 20, 0, 0, 16, 29, 26, 13, 0, 0, 0, 4, 9, 12, 15, 20, 28, 41, 56, 68, 75, 75, 70, 59, 47, 37, 32, 32, 37, 47, 57, 65, 68, 64, 54, 40, 28, 20, 18, 25, 36, 51, 64, 74, 78, 76, 69, 60, 49, 39, 30, 25, 26, 35, 47, 56, 50, 27, 0, 0, 16, 139, 358, 642, 929, 1141, 1214, 1126, 904, 614, 335, 127, 14, 0, 0, 14, 22, 15, 4, 0, 0, 4, 3, 0, 0, 17, 80, 186, 322, 453, 543, 563, 508, 395, 257, 131, 42, 0, 0, 1, 13, 19, 16, 8, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 5, 8, 10, 9, 7, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 4, 4, 3, 2, 0, 0, 0, 0, 0, 0, 0, 2, 5, 7, 9, 8, 7, 4, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 3, 2, 0, 0, 0, 1, 3, 5, 6, 5, 3, 0, 0, 0, 3, 8, 12, 15, 14, 11, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 4, 3, 1, 0, 0, 0, 5, 14, 26, 37, 45, 48, 46, 39, 30, 23, 20, 21, 25, 28, 29, 26, 20, 13, 5, 0, 0, 0, 4, 11, 18, 25, 31, 34, 34, 31, 25, 18, 13, 12, 15, 21, 27, 30, 30, 25, 18, 12, 9, 10, 16, 26, 38, 49, 56, 52, 35, 7, 0, 0, 54, 188, 383, 599, 780, 873, 849, 715, 513, 301, 130, 26, 0, 0, 11, 30, 41, 45, 46, 46, 43, 37, 26, 15, 6, 6, 14, 31, 52, 70, 77, 67, 38, 2, 0, 3, 98, 270, 499, 737, 920, 997, 942, 770, 528, 277, 78, 0, 0, 111, 319, 565, 790, 937, 967, 870, 671, 421, 184, 17, 0, 29, 205, 449, 701, 896, 982, 939, 782, 559, 330, 146, 34, 0, 0, 10, 23, 24, 14, 3, 0, 0, 0, 0, 3, 5, 9, 15, 23, 30, 34, 33, 28, 21, 13, 7, 3, 0, 0, 0, 2, 14, 28, 39, 36, 17, 0, 0, 28, 154, 364, 625, 875, 1043, 1078, 968, 748, 483, 244, 77, 0, 0, 0, 20, 26, 17, 4, 0, 0, 7, 18, 27, 30, 30, 28, 27, 27, 29, 29, 27, 23, 17, 12, 9, 9, 14, 21, 28, 35, 40, 40, 36, 29, 20, 12, 5, 4, 9, 18, 31, 43, 52, 55, 52, 42, 30, 19, 10, 7, 10, 17, 26, 32, 30, 18, 0, 0, 1, 51, 146, 275, 411, 519, 567, 542, 450, 320, 187, 81, 17, 0, 0, 5, 13, 14, 10, 5, 2, 2, 3, 4, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 8, 12, 16, 18, 18, 15, 11, 7, 3, 0, 0, 0, 2, 6, 10, 12, 12, 10, 7, 3, 0, 0, 0, 2, 5, 9, 12, 14, 15, 16, 15, 14, 14, 14, 15, 19, 24, 30, 36, 40, 41, 39, 34, 26, 17, 8, 2, 0, 0, 6, 16, 26, 34, 37, 35, 26, 14, 3, 0, 0, 14, 37, 64, 84, 89, 74, 41, 6, 0, 11, 88, 217, 376, 528, 632, 659, 604, 483, 333, 190, 82, 19, 0, 0, 6, 21, 39, 61, 84, 101, 101, 79, 41, 3, 0, 35, 142, 306, 494, 661, 760, 763, 668, 500, 302, 124, 5, 0, 30, 164, 343, 522, 658, 712, 668, 538, 353, 164, 22, 0, 23, 181, 409, 651, 842, 932, 896, 748, 534, 312, 133, 25, 0, 0, 20, 45, 56, 55, 45, 32, 20, 10, 5, 6, 11, 22, 34, 43, 48, 46, 38, 26, 14, 5, 0, 0, 4, 14, 28, 43, 55, 58, 49, 29, 5, 0, 6, 65, 169, 305, 443, 549, 593, 559, 451, 293, 124, 0, 0, 57, 303, 667, 1076, 1427, 1623, 1606, 1383, 1022, 627, 294, 78, 0, 0, 9, 33, 35, 20, 1, 0, 0, 0, 8, 12, 11, 6, 2, 1, 2, 5, 9, 11, 12, 10, 8, 5, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 2, 1, 1, 3, 6, 8, 10, 10, 8, 5, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 3, 9, 17, 27, 36, 42, 42, 38, 29, 18, 9, 6, 10, 20, 32, 41, 45, 42, 32, 19, 7, 0, 0, 2, 11, 21, 31, 38, 43, 42, 38, 30, 20, 11, 4, 1, 3, 10, 22, 37, 53, 61, 55, 32, 0, 0, 3, 98, 275, 513, 762, 955, 1036, 981, 806, 566, 323, 134, 22, 0, 0, 17, 40, 52, 55, 55, 53, 51, 46, 38, 28, 21, 21, 29, 46, 68, 89, 101, 97, 76, 40, 4, 0, 13, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 96, 235, 406, 570, 684, 714, 647, 499, 306, 119, 0, 0, 76, 305, 616, 938, 1189, 1299, 1239, 1029, 732, 429, 188, 42, 0, 0, 6, 25, 32, 30, 21, 7, 0, 0, 1, 72, 210, 408, 632, 825, 933, 924, 800, 597, 373, 181, 54, 0, 0, 2, 16, 19, 12, 2, 0, 0, 8, 18, 27, 32, 34, 36, 37, 38, 37, 33, 27, 19, 11, 5, 2, 2, 4, 7, 10, 13, 16, 18, 20, 21, 22, 22, 21, 21, 21, 24, 28, 35, 41, 45, 41, 27, 7, 0, 0, 35, 121, 245, 382, 495, 550, 530, 442, 313, 180, 74, 12, 0, 0, 7, 15, 17, 13, 10, 9, 10, 11, 10, 8, 6, 5, 7, 14, 25, 38, 46, 46, 31, 6, 0, 0, 56, 187, 377, 592, 778, 885, 880, 766, 576, 363, 178, 53, 0, 0, 9, 34, 49, 50, 40, 26, 12, 3, 0, 2, 10, 21, 34, 46, 55, 57, 54, 46, 35, 25, 17, 15, 19, 30, 44, 58, 69, 71, 61, 38, 10, 0, 0, 50, 152, 292, 442, 565, 625, 604, 505, 354, 187, 48, 0, 0, 113, 326, 592, 850, 1035, 1096, 1017, 822, 568, 320, 131, 22, 0, 0, 16, 39, 53, 59, 54, 37, 9, 0, 0, 56, 214, 457, 743, 1003, 1162, 1172, 1029, 779, 492, 242, 73, 0, 0, 2, 23, 31, 26, 17, 11, 13, 19, 23, 23, 18, 9, 1, 0, 0, 6, 18, 30, 36, 29, 10, 0, 0, 34, 141, 306, 501, 675, 778, 779, 677, 503, 310, 145, 38, 0, 0, 4, 16, 18, 10, 1, 0, 0, 0, 2, 4, 4, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 0, 0, 0, 0, 3, 7, 11, 14, 13, 11, 7, 4, 4, 7, 12, 20, 27, 36, 45, 52, 52, 41, 18, 0, 0, 24, 129, 303, 521, 732, 878, 917, 836, 659, 439, 233, 83, 4, 0, 0, 18, 29, 28, 20, 11, 6, 4, 4, 4, 2, 2, 4, 10, 20, 30, 38, 42, 42, 39, 36, 34, 32, 31, 28, 26, 26, 30, 39, 48, 46, 29, 0, 0, 0, 93, 275, 528, 800, 1020, 1122, 1075, 894, 634, 368, 157, 31, 0, 0, 10, 23, 23, 14, 9, 12, 24, 38, 47, 48, 44, 38, 36, 39, 47, 56, 62, 62, 57, 48, 39, 34, 35, 43, 54, 66, 75, 78, 75, 67, 54, 41, 29, 20, 17, 18, 25, 34, 44, 52, 54, 49, 39, 25, 12, 3, 0, 5, 15, 30, 46, 60, 66, 59, 36, 5, 0, 0, 75, 223, 427, 647, 827, 915, 885, 745, 533, 303, 108, 0, 0, 53, 227, 458, 692, 873, 953, 909, 757, 542, 320, 143, 35, 0, 0, 6, 16, 16, 11, 8, 13, 23, 35, 43, 44, 39, 31, 23, 17, 14, 13, 12, 11, 9, 8, 7, 8, 10, 12, 15, 17, 18, 19, 18, 16, 14, 13, 13, 13, 14, 15, 15, 15, 14, 13, 11, 10, 10, 13, 17, 23, 29, 34, 35, 33, 29, 22, 17, 15, 17, 23, 32, 42, 51, 58, 62, 61, 57, 49, 38, 26, 14, 4, 0, 0, 5, 17, 31, 42, 45, 34, 13, 0, 0, 29, 115, 244, 392, 521, 595, 590, 508, 376, 230, 108, 28, 0, 0, 2, 12, 14, 11, 7, 7, 9, 12, 14, 13, 9, 4, 0, 0, 1, 9, 21, 36, 46, 43, 24, 0, 0, 8, 101, 271, 495, 724, 896, 960, 895, 723, 494, 272, 104, 11, 0, 0, 13, 22, 18, 6, 0, 0, 0, 2, 5, 5, 3, 0, 1, 6, 14, 22, 29, 30, 27, 19, 10, 3, 0, 1, 6, 14, 24, 34, 40, 40, 30, 12, 0, 0, 19, 92, 207, 346, 478, 565, 582, 524, 409, 269, 140, 48, 0, 0, 1, 22, 42, 57, 64, 61, 46, 20, 0, 0, 25, 121, 275, 461, 635, 750, 772, 696, 545, 363, 195, 73, 7, 0, 0, 14, 31, 43, 50, 47, 31, 5, 0, 0, 80, 259, 527, 840, 1124, 1300, 1316, 1163, 881, 548, 245, 39, 0, 14, 158, 346, 526, 651, 695, 650, 535, 382, 228, 105, 29, 0, 0, 10, 23, 27, 24, 16, 9, 4, 4, 7, 11, 16, 21, 23, 24, 21, 17, 11, 5, 1, 0, 0, 4, 8, 11, 13, 13, 11, 10, 9, 9, 11, 13, 15, 17, 20, 24, 29, 35, 39, 41, 39, 33, 25, 16, 9, 5, 4, 8, 17, 28, 37, 38, 25, 3, 0, 0, 68, 213, 427, 672, 893, 1030, 1044, 931, 724, 480, 257, 97, 12, 0, 0, 12, 19, 17, 11, 8, 9, 14, 18, 19, 15, 8, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 11, 15, 18, 19, 18, 16, 15, 16, 19, 23, 26, 27, 25, 22, 17, 13, 9, 7, 6, 5, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 5, 5, 3, 2, 0, 0, 0, 0, 3, 6, 10, 13, 15, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 19, 19, 18, 17, 14, 10, 7, 4, 4, 5, 7, 8, 8, 6, 3, 0, 0, 0, 3, 6, 10, 13, 14, 14, 12, 11, 9, 8, 8, 9, 13, 19, 26, 33, 38, 41, 39, 33, 25, 15, 7, 3, 4, 12, 24, 37, 48, 50, 42, 23, 1, 0, 5, 59, 152, 273, 396, 490, 531, 507, 427, 313, 194, 96, 31, 0, 0, 3, 17, 32, 44, 54, 57, 50, 32, 8, 0, 5, 62, 171, 318, 474, 600, 660, 635, 531, 373, 202, 61, 0, 0, 87, 248, 439, 614, 731, 758, 691, 551, 376, 210, 86, 16, 0, 0, 8, 14, 11, 4, 0, 0, 1, 6, 10, 10, 8, 4, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 4, 5, 4, 3, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 5, 11, 18, 25, 30, 31, 28, 23, 17, 10, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 6, 6, 4, 2, 0, 0, 0, 0, 1, 3, 4, 4, 3, 1, 0, 0, 2, 8, 16, 24, 29, 30, 26, 20, 12, 5, 0, 0, 0, 2, 7, 12, 17, 20, 20, 16, 11, 7, 5, 5, 8, 12, 16, 22, 26, 28, 26, 16, 2, 0, 0, 34, 109, 218, 340, 445, 505, 501, 435, 327, 206, 101, 30, 0, 0, 5, 21, 34, 41, 42, 40, 34, 26, 18, 10, 5, 5, 9, 16, 22, 26, 26, 22, 15, 8, 2, 0, 0, 1, 5, 8, 9, 9, 8, 6, 3, 1, 0, 0, 3, 8, 14, 22, 29, 34, 34, 27, 14, 0, 0, 4, 49, 128, 229, 330, 403, 426, 392, 312, 209, 111, 39, 0, 0, 0, 18, 38, 53, 62, 60, 47, 24, 0, 0, 16, 86, 202, 347, 489, 592, 628, 587, 481, 340, 198, 87, 19, 0, 0, 17, 37, 53, 62, 61, 48, 23, 0, 0, 18, 127, 319, 574, 842, 1056, 1155, 1110, 933, 676, 407, 186, 48, 0, 0, 6, 22, 23, 12, 0, 0, 0, 2, 13, 22, 29, 32, 34, 34, 33, 32, 31, 29, 27, 26, 25, 24, 25, 28, 32, 37, 43, 47, 50, 51, 48, 45, 43, 43, 46, 54, 64, 72, 77, 75, 65, 50, 33, 18, 8, 6, 11, 23, 37, 49, 54, 46, 26, 0, 0, 5, 78, 211, 390, 579, 730, 801, 771, 650, 473, 287, 134, 37, 0, 0, 2, 11, 11, 6, 3, 5, 12, 20, 24, 24, 19, 13, 11, 12, 18, 25, 33, 37, 36, 26, 9, 0, 0, 20, 92, 209, 353, 494, 592, 620, 568, 453, 308, 170, 66, 9, 0, 0, 7, 12, 10, 3, 0, 0, 0, 1, 3, 4, 3, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 3, 7, 11, 13, 14, 11, 7, 3, 0, 0, 0, 2, 5, 7, 8, 7, 5, 4, 2, 1, 1, 0, 0, 1, 4, 11, 18, 22, 19, 8, 0, 0, 19, 88, 199, 336, 464, 549, 565, 507, 393, 255, 131, 43, 0, 0, 0, 13, 19, 18, 12, 6, 2, 2, 3, 3, 2, 1, 0, 0, 1, 5, 8, 12, 14, 15, 13, 11, 8, 5, 5, 10, 21, 36, 48, 47, 29, 0, 0, 2, 100, 290, 552, 837, 1071, 1190, 1158, 986, 725, 446, 213, 62, 0, 0, 3, 19, 22, 14, 2, 0, 0, 0, 3, 5, 5, 7, 9, 14, 19, 21, 20, 16, 10, 5, 1, 0, 0, 0, 2, 4, 8, 13, 18, 20, 16, 6, 0, 0, 17, 67, 147, 242, 329, 385, 392, 348, 267, 171, 86, 27, 0, 0, 0, 6, 12, 15, 17, 18, 15, 7, 0, 0, 14, 67, 156, 271, 387, 474, 507, 478, 393, 278, 161, 68, 12, 0, 0, 19, 38, 51, 54, 49, 40, 28, 17, 8, 2, 2, 8, 18, 31, 44, 53, 57, 53, 44, 30, 17, 6, 1, 2, 8, 18, 32, 47, 58, 59, 45, 18, 0, 0, 44, 179, 394, 657, 910, 1086, 1135, 1041, 826, 546, 270, 64, 0, 6, 158, 387, 636, 841, 950, 937, 809, 606, 383, 191, 62, 0, 0, 0, 14, 25, 30, 31, 26, 14, 0, 0, 8, 95, 262, 496, 756, 978, 1101, 1089, 945, 712, 453, 227, 74, 0, 0, 0, 18, 27, 25, 19, 15, 15, 17, 18, 17, 15, 14, 15, 18, 21, 22, 20, 15, 9, 3, 0, 0, 0, 3, 9, 15, 20, 24, 25, 24, 19, 13, 6, 1, 0, 0, 2, 6, 9, 12, 13, 12, 10, 9, 9, 10, 12, 14, 17, 20, 21, 20, 14, 3, 0, 0, 21, 79, 169, 277, 377, 442, 453, 407, 318, 211, 113, 43, 5, 0, 0, 5, 11, 14, 17, 21, 25, 28, 27, 22, 15, 7, 2, 0, 0, 0, 0, 0, 0, 0, 1, 4, 9, 14, 18, 20, 19, 16, 12, 8, 4, 2, 0, 0, 0, 0, 2, 8, 17, 27, 37, 45, 48, 45, 37, 26, 15, 8, 7, 10, 18, 27, 34, 37, 35, 29, 20, 11, 3, 0, 0, 4, 14, 27, 40, 50, 52, 42, 23, 2, 0, 7, 60, 153, 276, 404, 506, 556, 540, 463, 346, 219, 109, 33, 0, 0, 11, 38, 65, 84, 91, 82, 59, 28, 3, 5, 50, 147, 289, 454, 605, 706, 728, 663, 523, 343, 165, 35, 0, 29, 161, 352, 557, 724, 811, 794, 676, 487, 276, 97, 0, 0, 99, 272, 471, 640, 735, 735, 642, 489, 316, 164, 59, 5, 0, 0, 10, 18, 20, 20, 18, 11, 1, 0, 0, 40, 129, 264, 425, 576, 676, 696, 626, 483, 302, 130, 9, 0, 37, 192, 408, 637, 824, 922, 905, 782, 586, 372, 187, 62, 1, 0, 0, 13, 16, 10, 1, 0, 0, 0, 2, 5, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 6, 7, 6, 4, 1, 0, 0, 2, 7, 11, 14, 14, 11, 7, 3, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 3, 7, 10, 12, 12, 9, 6, 2, 0, 0, 0, 3, 7, 11, 14, 14, 13, 9, 5, 2, 0, 0, 0, 4, 9, 16, 22, 25, 26, 24, 19, 12, 6, 1, 0, 0, 2, 10, 19, 27, 31, 29, 23, 13, 5, 1, 3, 12, 24, 37, 48, 52, 46, 31, 9, 0, 0, 42, 147, 307, 503, 695, 838, 896, 851, 713, 517, 306, 125, 10, 0, 31, 152, 313, 475, 601, 660, 640, 548, 411, 262, 135, 47, 3, 0, 4, 19, 29, 31, 27, 22, 18, 16, 17, 22, 28, 35, 42, 46, 47, 42, 34, 22, 10, 2, 0, 1, 11, 26, 42, 56, 66, 68, 62, 49, 33, 16, 5, 0, 5, 16, 31, 45, 51, 48, 35, 16, 0, 0, 23, 84, 177, 290, 398, 475, 497, 452, 349, 213, 82, 1, 7, 115, 317, 575, 832, 1027, 1114, 1071, 914, 686, 440, 229, 83, 7, 0, 0, 20, 39, 48, 47, 35, 14, 0, 0, 24, 122, 291, 512, 744, 932, 1025, 997, 855, 640, 406, 205, 69, 2, 0, 0, 12, 16, 10, 1, 0, 0, 1, 8, 15, 20, 23, 29, 37, 49, 61, 68, 64, 46, 18, 0, 0, 42, 147, 307, 497, 676, 802, 842, 786, 651, 472, 291, 145, 49, 3, 0, 0, 8, 9, 5, 0, 0, 0, 6, 14, 21, 27, 31, 33, 34, 33, 30, 25, 19, 12, 7, 2, 0, 0, 0, 4, 8, 13, 16, 19, 20, 19, 17, 13, 9, 5, 2, 2, 4, 9, 14, 19, 20, 18, 13, 7, 1, 0, 0, 3, 7, 10, 11, 9, 6, 3, 0, 0, 0, 3, 9, 15, 20, 23, 22, 18, 12, 5, 0, 0, 0, 5, 13, 23, 30, 35, 34, 28, 18, 9, 1, 0, 4, 15, 29, 44, 55, 57, 47, 27, 4, 0, 3, 56, 154, 288, 433, 556, 628, 629, 559, 438, 297, 167, 70, 14, 0, 0, 7, 17, 25, 29, 31, 32, 31, 26, 19, 12, 8, 9, 17, 29, 40, 44, 36, 17, 0, 0, 28, 115, 259, 442, 633, 787, 866, 846, 728, 539, 323, 134, 21, 14, 119, 315, 556, 783, 942, 993, 926, 763, 547, 331, 157, 47, 0, 0, 4, 16, 19, 16, 10, 6, 6, 7, 8, 7, 5, 4, 5, 8, 13, 16, 18, 17, 16, 16, 17, 20, 25, 30, 34, 34, 31, 25, 17, 9, 3, 0, 0, 0, 2, 4, 6, 7, 8, 7, 6, 4, 2, 1, 0, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 5, 5, 5, 5, 5, 6, 7, 8, 9, 9, 9, 7, 5, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 8, 12, 17, 19, 18, 15, 11, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 9, 10, 10, 9, 7, 4, 3, 2, 3, 4, 6, 8, 10, 11, 12, 11, 9, 8, 6, 7, 8, 11, 13, 14, 13, 11, 7, 3, 0, 0, 0, 3, 8, 13, 18, 20, 19, 12, 2, 0, 0, 26, 79, 157, 248, 331, 386, 397, 363, 291, 202, 116, 50, 11, 0, 0, 3, 8, 10, 10, 10, 12, 14, 16, 16, 14, 13, 14, 17, 24, 33, 41, 46, 45, 38, 27, 15, 8, 8, 17, 33, 53, 71, 82, 83, 74, 57, 37, 19, 9, 9, 20, 40, 63, 83, 93, 87, 67, 36, 9, 1, 29, 103, 222, 369, 518, 634, 686, 656, 547, 385, 212, 78, 27, 83, 244, 477, 730, 940, 1054, 1045, 917, 705, 464, 255, 127, 103, 178, 323, 491, 633, 711, 703, 611, 459, 285, 133, 43, 37, 117, 264, 441, 603, 710, 736, 678, 554, 395, 240, 116, 37, 1, 0, 1, 7, 8, 5, 0, 0, 0, 0, 2, 3, 3, 2, 1, 1, 1, 2, 3, 2, 1, 0, 0, 3, 15, 34, 56, 77, 92, 96, 89, 73, 53, 33, 18, 7, 2, 0, 1, 3, 6, 9, 10, 10, 9, 6, 4, 2, 1, 3, 7, 11, 15, 16, 12, 3, 0, 0, 20, 72, 155, 259, 364, 443, 476, 453, 380, 277, 171, 82, 25, 0, 0, 0, 6, 10, 11, 13, 17, 22, 27, 29, 27, 23, 18, 15, 16, 20, 26, 30, 31, 30, 27, 24, 23, 25, 30, 37, 45, 51, 55, 55, 51, 43, 33, 23, 16, 12, 14, 22, 33, 46, 57, 62, 60, 52, 38, 23, 10, 1, 0, 2, 11, 22, 34, 43, 49, 48, 42, 31, 18, 6, 0, 0, 7, 22, 37, 46, 43, 28, 6, 0, 7, 66, 179, 336, 514, 676, 785, 815, 757, 623, 445, 264, 121, 48, 58, 148, 295, 463, 611, 705, 723, 664, 543, 391, 241, 118, 39, 1, 0, 4, 18, 30, 36, 37, 36, 34, 31, 27, 23, 21, 20, 22, 25, 28, 30, 30, 28, 23, 17, 9, 3, 0, 0, 3, 12, 23, 34, 41, 42, 36, 24, 12, 2, 0, 8, 25, 46, 64, 72, 64, 42, 15, 0, 6, 57, 158, 299, 460, 610, 715, 749, 701, 579, 409, 230, 83, 3, 9, 98, 250, 427, 587, 693, 723, 673, 560, 413, 264, 140, 56, 12, 0, 0, 3, 6, 4, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 2, 1, 1, 3, 6, 9, 12, 13, 11, 8, 4, 1, 0, 0, 0, 1, 3, 5, 5, 5, 3, 1, 0, 0, 2, 7, 13, 19, 23, 24, 23, 20, 18, 16, 15, 15, 15, 14, 14, 14, 15, 16, 18, 18, 16, 13, 10, 8, 10, 15, 22, 30, 34, 35, 31, 25, 18, 12, 9, 9, 10, 12, 13, 12, 10, 6, 3, 1, 0, 0, 0, 0, 0, 1, 2, 4, 7, 10, 13, 14, 14, 12, 9, 6, 3, 1, 0, 0, 0, 0, 0, 0, 2, 4, 7, 9, 10, 9, 8, 5, 3, 2, 0, 0, 0, 0, 1, 4, 8, 12, 15, 16, 13, 9, 4, 0, 0, 0, 7, 16, 27, 34, 35, 28, 14, 1, 0, 17, 63, 138, 233, 331, 411, 455, 452, 403, 321, 224, 133, 62, 18, 0, 0, 2, 9, 14, 16, 16, 15, 12, 9, 6, 3, 3, 5, 10, 17, 24, 30, 30, 23, 10, 0, 0, 20, 84, 189, 328, 475, 602, 676, 681, 614, 493, 347, 209, 100, 31, 0, 0, 0, 4, 9, 11, 8, 1, 0, 0, 17, 76, 179, 318, 474, 613, 704, 723, 668, 552, 404, 257, 135, 53, 10, 0, 0, 5, 7, 5, 2, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 6, 6, 7, 9, 12, 16, 18, 18, 15, 10, 5, 1, 0, 0, 0, 0, 0, 0, 0, 1, 5, 9, 13, 14, 13, 10, 6, 2, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 5, 4, 3, 2, 4, 9, 18, 27, 33, 32, 23, 9, 0, 3, 32, 94, 183, 287, 386, 456, 482, 458, 389, 293, 192, 105, 43, 9, 0, 0, 2, 5, 7, 7, 8, 9, 11, 12, 12, 11, 9, 9, 10, 13, 17, 22, 26, 24, 16, 3, 0, 3, 43, 123, 242, 385, 524, 627, 665, 627, 518, 364, 204, 80, 24, 55, 170, 345, 545, 725, 847, 884, 831, 700, 525, 342, 185, 75, 15, 0, 0, 5, 9, 7, 2, 0, 0, 0, 1, 4, 6, 8, 9, 10, 10, 9, 7, 6, 5, 6, 6, 7, 6, 6, 6, 8, 13, 20, 28, 33, 34, 31, 26, 21, 18, 19, 23, 27, 29, 28, 23, 15, 8, 3, 2, 6, 13, 21, 28, 31, 31, 28, 24, 22, 22, 24, 29, 33, 36, 35, 31, 26, 20, 15, 11, 9, 7, 5, 3, 0, 0, 0, 1, 4, 8, 11, 12, 12, 10, 6, 3, 1, 2, 5, 9, 14, 17, 18, 17, 13, 8, 4, 1, 0, 0, 0, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 1, 2, 4, 5, 5, 5, 3, 2, 2, 1, 1, 0, 0, 0, 0, 2, 6, 9, 8, 2, 0, 0, 24, 85, 183, 310, 445, 562, 635, 646, 593, 490, 360, 230, 122, 48, 9, 0, 0, 3, 5, 3, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 3, 5, 6, 6, 5, 3, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 3, 6, 8, 8, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 12, 19, 24, 27, 26, 23, 18, 14, 13, 15, 18, 24, 29, 33, 36, 37, 37, 36, 34, 33, 32, 32, 33, 33, 33, 32, 30, 27, 24, 20, 18, 17, 18, 19, 21, 22, 22, 20, 18, 15, 14, 14, 15, 17, 17, 16, 13, 9, 6, 4, 5, 7, 11, 15, 19, 21, 22, 20, 17, 13, 9, 5, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 8, 13, 19, 24, 28, 31, 34, 38, 44, 52, 58, 62, 61, 55, 45, 37, 38, 54, 90, 145, 216, 289, 353, 391, 395, 362, 300, 220, 140, 73, 27, 3, 0, 0, 6, 12, 16, 20, 23, 26, 28, 29, 27, 24, 20, 16, 12, 9, 7, 6, 4, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 7, 11, 14, 17, 19, 19, 17, 14, 9, 5, 3, 4, 7, 12, 18, 23, 26, 27, 25, 22, 17, 13, 8, 4, 1, 0, 0, 2, 5, 9, 12, 13, 12, 10, 6, 3, 2, 1, 1, 3, 5, 8, 11, 13, 14, 13, 10, 6, 3, 4, 8, 17, 28, 37, 41, 36, 24, 8, 0, 1, 28, 83, 163, 257, 350, 425, 465, 463, 418, 342, 249, 158, 83, 32, 5, 0, 0, 3, 6, 6, 4, 2, 1, 1, 1, 1, 2, 5, 9, 14, 18, 20, 18, 12, 3, 0, 1, 25, 73, 144, 233, 323, 398, 443, 447, 410, 342, 256, 170, 97, 44, 14, 1, 0, 0, 2, 4, 6, 10, 16, 24, 33, 40, 45, 47, 46, 44, 42, 40, 39, 40, 42, 44, 45, 46, 46, 44, 41, 37, 32, 28, 25, 24, 24, 25, 25, 25, 26, 28, 31, 37, 41, 43, 39, 30, 23, 28, 59, 124, 228, 360, 503, 629, 713, 738, 698, 603, 473, 333, 206, 108, 44, 11, 0, 0, 2, 4, 3, 2, 0, 0, 0, 0, 4, 10, 15, 19, 20, 17, 11, 6, 2, 2, 5, 11, 17, 23, 26, 28, 28, 27, 24, 19, 14, 10, 8, 10, 17, 27, 38, 49, 55, 57, 54, 47, 38, 28, 18, 11, 6, 5, 7, 12, 18, 25, 30, 31, 29, 22, 13, 5, 1, 3, 11, 21, 29, 30, 22, 7, 0, 2, 43, 129, 261, 427, 601, 751, 847, 867, 806, 678, 510, 336, 186, 79, 19, 0, 0, 3, 7, 6, 2, 0, 0, 0, 2, 4, 4, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 14, 43, 89, 150, 217, 278, 321, 336, 320, 276, 214, 145, 84, 38, 11, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 5, 12, 20, 28, 33, 35, 33, 28, 20, 13, 9, 9, 14, 23, 31, 36, 35, 25, 11, 2, 9, 44, 115, 222, 353, 486, 597, 663, 670, 616, 515, 387, 258, 146, 65, 18, 0, 0, 5, 14, 19, 16, 6, 0, 0, 22, 83, 187, 326, 481, 626, 731, 774, 749, 661, 532, 388, 253, 144, 69, 25, 5, 0, 0, 1, 1, 0, 0, 0, 1, 3, 7, 12, 17, 21, 23, 22, 20, 16, 12, 10, 10, 13, 17, 23, 28, 34, 38, 41, 41, 39, 33, 28, 24, 25, 32, 45, 62, 78, 87, 85, 71, 50, 35, 39, 79, 167, 304, 478, 664, 828, 938, 969, 914, 784, 605, 412, 238, 106, 26, 0, 0, 21, 45, 62, 64, 55, 42, 36, 52, 104, 197, 327, 477, 622, 732, 783, 762, 673, 534, 377, 235, 136, 94, 111, 175, 262, 347, 408, 432, 414, 360, 284, 200, 123, 64, 24, 4, 0, 0, 5, 10, 12, 12, 10, 7, 3, 1, 0, 1, 3, 5, 6, 6, 5, 3, 1, 0, 0, 0, 0, 1, 1, 2, 4, 4, 4, 3, 1, 0, 0, 0, 4, 10, 13, 12, 7, 0, 1, 19, 61, 129, 213, 298, 362, 389, 371, 313, 230, 143, 71, 22, 0, 0, 0, 12, 26, 44, 66, 92, 118, 142, 160, 171, 177, 179, 178, 176, 171, 164, 154, 141, 127, 112, 95, 78, 59, 41, 25, 12, 3, 0, 0, 0, 0, 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, 1, 3, 4, 6, 6, 7, 8, 11, 15, 20, 23, 24, 21, 17, 12, 9, 11, 17, 27, 37, 45, 49, 50, 48, 45, 43, 41, 40, 40, 38, 37, 37, 37, 39, 41, 41, 40, 37, 33, 30, 29, 31, 36, 42, 48, 51, 51, 49, 45, 42, 41, 40, 41, 42, 43, 44, 47, 53, 61, 73, 85, 96, 103, 104, 99, 89, 77, 65, 56, 51, 50, 52, 55, 58, 58, 56, 53, 49, 45, 41, 37, 34, 32, 30, 28, 26, 22, 17, 12, 7, 4, 4, 7, 11, 14, 14, 12, 8, 3, 0, 0, 0, 0],
"peakT": [290, 301, 321, 353, 399, 453, 502, 537, 561, 585, 618, 664, 717, 773, 826, 876, 923, 967, 1007, 1042, 1072, 1098, 1119, 1139, 1156, 1172, 1184, 1192, 1196, 1197, 1196, 1193, 1191, 1188, 1185, 1182, 1183, 1190, 1208, 1240, 1285, 1344, 1412, 1486, 1561, 1637, 1712, 1787, 1866, 1949, 2039, 2133, 2229, 2320, 2401, 2467, 2515, 2546, 2566, 2577, 2583, 2583, 2576, 2557, 2523, 2474, 2411, 2340, 2260, 2174, 2078, 1970, 1850, 1719, 1583, 1448, 1319, 1199, 1086, 980, 878, 781, 690, 608, 537, 479, 432, 395, 365, 339, 316, 293, 270, 246, 222, 198, 176, 158, 146, 142, 144, 151, 162, 173, 185, 196, 207, 219, 233, 249, 265, 281, 294, 304, 307, 303, 291, 274, 253, 231, 209, 190, 172, 154, 135, 114, 93, 74, 57, 45, 38, 35, 34, 33, 31, 29, 25, 21, 18, 15, 14, 16, 21, 31, 45, 62, 81, 101, 121, 141, 164, 191, 224, 262, 301, 338, 367, 387, 397, 398, 391, 378, 358, 330, 295, 253, 208, 164, 127, 98, 78, 65, 56, 49, 41, 33, 26, 20, 19, 20, 23, 25, 27, 25, 21, 16, 12, 9, 8, 9, 12, 15, 17, 18, 17, 15, 14, 14, 14, 16, 17, 18, 18, 18, 18, 21, 27, 36, 47, 61, 78, 100, 129, 166, 211, 264, 321, 376, 424, 462, 484, 489, 478, 451, 410, 359, 301, 241, 181, 127, 81, 46, 22, 7, 1, 0, 0, 0, 0, 1, 2, 5, 7, 8, 8, 7, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 3, 9, 17, 27, 36, 43, 47, 48, 47, 46, 45, 45, 47, 48, 48, 44, 36, 26, 17, 9, 5, 5, 7, 10, 11, 12, 12, 12, 12, 14, 15, 17, 18, 18, 18, 17, 17, 18, 19, 22, 30, 46, 75, 120, 181, 257, 339, 420, 488, 535, 557, 552, 523, 474, 411, 338, 263, 189, 122, 68, 29, 6, 0, 0, 3, 8, 10, 10, 8, 6, 6, 8, 13, 19, 26, 32, 35, 35, 33, 28, 24, 19, 15, 12, 10, 8, 7, 6, 6, 7, 8, 10, 13, 16, 19, 23, 25, 26, 25, 23, 19, 14, 10, 8, 9, 14, 27, 51, 90, 145, 217, 303, 394, 481, 551, 595, 607, 585, 532, 457, 369, 277, 192, 120, 65, 28, 8, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 5, 4, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 3, 5, 7, 7, 7, 7, 7, 9, 12, 15, 17, 17, 14, 10, 6, 2, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 2, 1, 0, 1, 4, 9, 14, 17, 17, 15, 9, 3, 0, 0, 10, 39, 92, 173, 281, 410, 545, 669, 763, 809, 800, 735, 623, 484, 339, 209, 108, 43, 8, 0, 0, 2, 4, 5, 4, 3, 2, 2, 0, 0, 1, 5, 13, 23, 33, 39, 40, 36, 29, 21, 16, 15, 17, 19, 20, 17, 10, 3, 0, 5, 27, 73, 145, 245, 366, 496, 617, 709, 756, 748, 686, 579, 449, 319, 217, 162, 165, 224, 326, 449, 566, 652, 690, 674, 607, 503, 382, 262, 160, 83, 34, 8, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 4, 5, 7, 8, 8, 7, 7, 7, 9, 12, 15, 16, 15, 12, 8, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 7, 14, 21, 27, 30, 30, 25, 19, 11, 5, 1, 1, 5, 13, 22, 32, 40, 43, 41, 35, 26, 17, 11, 9, 11, 15, 21, 25, 28, 28, 26, 23, 18, 14, 11, 11, 14, 21, 28, 34, 36, 31, 21, 8, 0, 6, 34, 93, 186, 309, 450, 588, 701, 765, 766, 701, 584, 442, 308, 216, 187, 227, 324, 453, 580, 672, 706, 673, 583, 456, 325, 220, 166, 175, 240, 342, 453, 543, 589, 581, 521, 425, 313, 205, 118, 57, 23, 8, 2, 0, 0, 5, 33, 92, 190, 321, 470, 612, 718, 766, 743, 654, 517, 362, 217, 104, 33, 0, 0, 0, 6, 8, 6, 1, 0, 0, 0, 2, 7, 11, 16, 19, 20, 19, 16, 11, 7, 3, 1, 1, 2, 5, 8, 10, 11, 11, 10, 10, 11, 13, 16, 19, 21, 22, 22, 22, 22, 19, 13, 4, 0, 0, 22, 76, 166, 288, 424, 551, 642, 677, 648, 561, 435, 298, 174, 80, 23, 0, 0, 4, 10, 12, 9, 4, 0, 0, 3, 12, 24, 34, 40, 36, 24, 7, 0, 3, 43, 124, 245, 391, 539, 659, 726, 725, 657, 537, 391, 248, 131, 51, 10, 0, 0, 8, 15, 18, 16, 12, 4, 0, 0, 10, 51, 125, 231, 354, 475, 567, 611, 596, 526, 418, 294, 177, 85, 28, 3, 1, 11, 19, 18, 7, 0, 0, 29, 104, 225, 377, 536, 669, 746, 749, 679, 551, 396, 244, 121, 40, 0, 0, 0, 11, 16, 10, 0, 0, 7, 65, 174, 332, 517, 695, 828, 883, 847, 729, 556, 369, 204, 85, 19, 0, 0, 4, 9, 7, 2, 0, 0, 0, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 5, 10, 14, 18, 20, 22, 22, 21, 20, 19, 19, 19, 19, 20, 20, 19, 16, 12, 8, 4, 1, 0, 0, 0, 1, 3, 4, 5, 4, 3, 1, 0, 0, 1, 4, 8, 10, 11, 9, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 2, 3, 5, 5, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 3, 1, 0, 0, 0, 1, 3, 6, 8, 9, 10, 9, 8, 7, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 4, 3, 1, 0, 1, 6, 14, 23, 30, 34, 32, 26, 17, 9, 3, 0, 0, 0, 2, 7, 15, 23, 29, 31, 29, 23, 17, 12, 12, 14, 18, 23, 27, 29, 29, 24, 14, 0, 0, 4, 54, 154, 303, 482, 655, 781, 828, 781, 653, 477, 296, 146, 47, 0, 0, 0, 9, 17, 18, 12, 0, 0, 0, 36, 130, 287, 494, 718, 912, 1028, 1034, 927, 736, 507, 292, 128, 31, 0, 0, 6, 16, 17, 13, 9, 9, 12, 16, 17, 15, 9, 3, 0, 0, 4, 11, 19, 24, 25, 23, 17, 10, 3, 0, 0, 0, 9, 20, 28, 28, 16, 0, 0, 16, 86, 212, 383, 570, 732, 827, 830, 740, 580, 391, 217, 89, 17, 0, 0, 6, 12, 10, 4, 0, 0, 0, 0, 3, 5, 6, 7, 6, 5, 4, 3, 4, 7, 9, 8, 4, 0, 0, 14, 60, 141, 251, 374, 482, 551, 560, 509, 409, 286, 167, 75, 20, 0, 0, 2, 7, 6, 1, 0, 0, 5, 14, 23, 29, 30, 28, 23, 17, 12, 8, 4, 1, 0, 3, 9, 18, 26, 27, 18, 2, 0, 0, 55, 166, 327, 511, 676, 780, 793, 713, 561, 379, 210, 85, 15, 0, 0, 7, 12, 10, 4, 0, 0, 0, 0, 3, 5, 5, 6, 6, 6, 6, 5, 3, 0, 0, 0, 2, 4, 6, 7, 7, 7, 8, 10, 14, 17, 19, 18, 14, 10, 8, 10, 15, 22, 30, 34, 35, 30, 23, 16, 9, 6, 7, 10, 15, 21, 25, 28, 27, 24, 18, 13, 9, 8, 10, 15, 20, 25, 29, 31, 32, 32, 30, 26, 20, 14, 9, 9, 14, 27, 44, 60, 67, 60, 37, 7, 0, 5, 83, 231, 436, 662, 859, 974, 977, 865, 663, 423, 199, 41, 0, 18, 143, 319, 501, 643, 712, 694, 598, 452, 293, 155, 59, 9, 0, 0, 8, 12, 9, 3, 0, 0, 0, 2, 4, 4, 3, 3, 3, 5, 8, 10, 10, 10, 10, 10, 11, 13, 15, 15, 13, 9, 5, 2, 0, 0, 0, 0, 0, 1, 4, 8, 13, 18, 21, 21, 20, 16, 12, 7, 2, 0, 0, 0, 3, 11, 18, 18, 8, 0, 0, 19, 97, 229, 396, 564, 687, 730, 680, 553, 385, 220, 93, 19, 0, 0, 6, 13, 11, 5, 0, 0, 0, 1, 3, 3, 2, 0, 1, 4, 8, 12, 14, 14, 11, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 7, 10, 12, 14, 13, 11, 7, 4, 1, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 6, 6, 4, 2, 0, 0, 0, 3, 10, 19, 28, 35, 37, 35, 28, 19, 10, 4, 0, 0, 0, 0, 0, 1, 4, 6, 9, 10, 10, 8, 6, 4, 3, 4, 9, 17, 26, 32, 30, 18, 0, 0, 4, 70, 196, 370, 561, 723, 811, 801, 695, 524, 334, 169, 56, 0, 0, 0, 13, 22, 24, 23, 24, 26, 29, 32, 32, 31, 30, 29, 30, 34, 40, 45, 46, 38, 19, 0, 0, 13, 96, 244, 442, 651, 819, 902, 874, 744, 550, 342, 168, 53, 0, 0, 0, 11, 15, 14, 14, 15, 15, 8, 0, 0, 16, 92, 227, 408, 600, 754, 828, 800, 678, 499, 309, 150, 46, 0, 0, 2, 13, 16, 11, 3, 0, 0, 6, 13, 19, 23, 22, 20, 15, 10, 6, 4, 3, 4, 7, 10, 13, 17, 19, 22, 23, 23, 21, 18, 13, 9, 6, 5, 7, 11, 16, 22, 26, 29, 30, 30, 28, 27, 24, 21, 17, 14, 12, 12, 14, 17, 20, 22, 20, 17, 12, 7, 3, 1, 2, 5, 10, 16, 21, 22, 16, 4, 0, 0, 30, 104, 215, 344, 461, 532, 538, 475, 362, 233, 118, 39, 0, 0, 0, 7, 10, 9, 8, 11, 18, 27, 32, 31, 25, 16, 8, 4, 4, 9, 14, 18, 18, 14, 9, 3, 0, 1, 7, 19, 33, 47, 59, 64, 61, 46, 23, 0, 0, 7, 69, 178, 318, 460, 567, 609, 574, 472, 334, 194, 84, 17, 0, 0, 11, 29, 43, 50, 49, 37, 16, 0, 0, 29, 126, 283, 478, 669, 805, 844, 770, 601, 380, 169, 22, 0, 50, 215, 429, 633, 770, 803, 722, 550, 334, 135, 9, 0, 80, 259, 478, 675, 798, 811, 712, 527, 307, 114, 0, 0, 95, 273, 478, 653, 752, 751, 657, 500, 323, 167, 60, 5, 0, 0, 11, 15, 13, 9, 8, 11, 17, 24, 28, 28, 26, 22, 17, 13, 8, 4, 0, 0, 2, 8, 15, 22, 26, 26, 23, 18, 12, 6, 2, 0, 0, 2, 8, 16, 26, 33, 37, 36, 30, 22, 15, 11, 10, 13, 19, 26, 34, 42, 45, 38, 20, 0, 0, 8, 86, 228, 418, 618, 776, 848, 811, 677, 486, 289, 131, 33, 0, 0, 0, 8, 13, 16, 18, 15, 5, 0, 0, 22, 121, 292, 512, 734, 897, 952, 882, 708, 482, 265, 103, 13, 0, 0, 12, 20, 16, 5, 0, 0, 0, 3, 7, 9, 7, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 5, 8, 11, 12, 12, 10, 7, 4, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 4, 7, 10, 11, 11, 8, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 9, 11, 12, 14, 16, 20, 23, 26, 28, 28, 26, 22, 17, 12, 9, 7, 9, 12, 17, 22, 25, 24, 21, 15, 10, 7, 7, 10, 14, 18, 20, 19, 15, 12, 9, 8, 10, 13, 17, 20, 22, 22, 22, 21, 20, 18, 16, 14, 12, 10, 8, 6, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 8, 9, 9, 6, 3, 1, 0, 0, 0, 1, 0, 0, 0, 0, 3, 8, 12, 15, 16, 13, 8, 4, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 4, 9, 16, 22, 26, 26, 23, 17, 12, 10, 13, 18, 25, 30, 32, 33, 34, 37, 38, 32, 14, 0, 0, 15, 107, 267, 471, 672, 813, 851, 773, 606, 400, 208, 71, 0, 0, 0, 13, 29, 34, 27, 9, 0, 0, 11, 104, 268, 483, 702, 865, 924, 858, 688, 466, 252, 93, 7, 0, 0, 13, 22, 17, 6, 0, 0, 0, 1, 5, 5, 3, 1, 0, 1, 2, 4, 4, 4, 3, 1, 1, 2, 3, 2, 0, 0, 0, 0, 8, 18, 23, 18, 3, 0, 0, 43, 144, 290, 451, 585, 650, 626, 522, 370, 213, 89, 16, 0, 0, 6, 16, 19, 20, 22, 26, 31, 33, 29, 20, 10, 2, 0, 1, 6, 12, 17, 19, 18, 15, 10, 5, 1, 0, 1, 7, 16, 25, 32, 35, 33, 26, 17, 9, 3, 1, 2, 7, 15, 26, 38, 46, 43, 27, 1, 0, 0, 73, 224, 435, 665, 853, 945, 912, 764, 546, 320, 138, 27, 0, 0, 8, 27, 38, 40, 34, 20, 0, 0, 0, 56, 190, 387, 612, 807, 914, 899, 767, 559, 335, 151, 36, 0, 0, 4, 15, 15, 11, 9, 12, 14, 9, 0, 0, 12, 84, 213, 381, 548, 667, 700, 637, 498, 326, 167, 55, 0, 0, 0, 12, 17, 12, 3, 0, 0, 0, 1, 4, 4, 3, 2, 1, 2, 3, 6, 8, 8, 8, 6, 4, 3, 6, 12, 20, 27, 32, 31, 25, 17, 8, 2, 0, 0, 2, 8, 16, 23, 27, 28, 26, 20, 13, 7, 3, 1, 2, 5, 14, 26, 42, 56, 59, 45, 16, 0, 0, 52, 201, 428, 690, 923, 1056, 1048, 896, 642, 356, 116, 0, 0, 108, 322, 563, 762, 866, 849, 721, 523, 313, 140, 33, 0, 0, 9, 21, 20, 11, 0, 0, 0, 3, 12, 19, 21, 19, 13, 7, 4, 8, 17, 28, 31, 19, 0, 0, 2, 84, 238, 446, 663, 828, 890, 830, 667, 451, 242, 87, 4, 0, 0, 15, 23, 17, 6, 0, 0, 0, 4, 7, 5, 0, 0, 0, 9, 21, 28, 21, 2, 0, 0, 57, 188, 374, 577, 742, 819, 783, 647, 452, 255, 102, 15, 0, 0, 9, 19, 20, 18, 18, 22, 29, 31, 27, 18, 9, 5, 9, 20, 33, 43, 46, 39, 26, 12, 2, 0, 5, 15, 25, 32, 35, 35, 35, 35, 33, 25, 9, 0, 0, 20, 106, 245, 410, 561, 652, 654, 566, 417, 253, 114, 25, 0, 0, 0, 18, 32, 37, 31, 13, 0, 0, 14, 115, 291, 522, 757, 932, 996, 925, 740, 489, 240, 51, 0, 0, 133, 341, 568, 756, 854, 837, 713, 520, 313, 142, 34, 0, 0, 8, 20, 20, 11, 0, 0, 0, 5, 14, 22, 27, 31, 34, 35, 34, 31, 23, 14, 5, 0, 0, 5, 14, 26, 36, 43, 45, 41, 32, 22, 12, 3, 0, 0, 4, 15, 29, 44, 56, 61, 57, 44, 28, 11, 2, 3, 15, 37, 65, 90, 106, 104, 80, 39, 0, 0, 24, 145, 344, 588, 821, 979, 1017, 919, 713, 451, 200, 21, 0, 16, 190, 436, 694, 896, 989, 947, 782, 542, 290, 87, 0, 0, 95, 285, 507, 703, 824, 836, 735, 548, 326, 126, 0, 0, 54, 217, 419, 606, 727, 751, 674, 523, 342, 176, 57, 0, 0, 0, 23, 42, 47, 34, 9, 0, 0, 35, 162, 360, 594, 805, 930, 931, 806, 595, 362, 165, 40, 0, 0, 7, 23, 26, 18, 9, 5, 6, 10, 12, 10, 6, 3, 4, 12, 25, 40, 49, 46, 26, 0, 0, 3, 84, 233, 429, 629, 778, 830, 769, 615, 414, 221, 79, 3, 0, 0, 13, 23, 23, 17, 14, 14, 16, 17, 14, 8, 2, 0, 2, 9, 19, 29, 34, 33, 28, 20, 11, 4, 1, 0, 1, 5, 12, 22, 33, 43, 46, 37, 16, 0, 0, 25, 117, 262, 433, 586, 677, 674, 575, 407, 217, 59, 0, 0, 115, 304, 515, 691, 784, 769, 648, 456, 244, 70, 0, 0, 113, 302, 512, 685, 771, 749, 629, 449, 262, 112, 22, 0, 0, 9, 19, 18, 8, 0, 0, 0, 1, 6, 8, 8, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 6, 6, 4, 2, 0, 0, 0, 2, 5, 9, 12, 13, 11, 8, 4, 0, 0, 0, 4, 10, 16, 20, 20, 18, 13, 7, 2, 0, 0, 0, 2, 7, 12, 16, 17, 16, 13, 9, 5, 3, 2, 2, 0, 0, 0, 0, 4, 14, 19, 15, 1, 0, 0, 47, 154, 309, 482, 625, 696, 672, 561, 398, 229, 95, 16, 0, 0, 7, 16, 15, 7, 0, 0, 0, 0, 3, 7, 12, 17, 24, 29, 31, 30, 23, 14, 5, 0, 0, 4, 14, 26, 35, 38, 34, 24, 13, 3, 0, 0, 5, 11, 16, 19, 20, 19, 17, 15, 13, 11, 9, 7, 6, 4, 4, 6, 12, 22, 33, 39, 31, 11, 0, 0, 37, 160, 353, 582, 791, 917, 922, 803, 599, 369, 173, 45, 0, 0, 5, 20, 22, 13, 1, 0, 0, 0, 3, 6, 6, 3, 1, 0, 0, 2, 6, 12, 17, 20, 19, 16, 10, 4, 0, 0, 3, 9, 17, 23, 25, 23, 19, 12, 6, 1, 0, 0, 0, 2, 5, 7, 8, 7, 6, 4, 1, 0, 0, 0, 3, 6, 9, 11, 11, 10, 8, 6, 4, 3, 2, 1, 0, 0, 1, 6, 14, 23, 25, 18, 2, 0, 0, 44, 143, 282, 435, 558, 616, 590, 488, 343, 194, 78, 11, 0, 0, 9, 18, 17, 10, 3, 0, 0, 0, 0, 2, 3, 5, 8, 11, 13, 12, 9, 5, 1, 0, 0, 3, 8, 14, 18, 19, 17, 13, 7, 3, 0, 0, 0, 0, 3, 5, 7, 9, 10, 9, 7, 4, 2, 0, 0, 0, 2, 6, 11, 16, 19, 19, 16, 12, 9, 8, 12, 18, 24, 28, 31, 33, 37, 44, 47, 39, 19, 0, 0, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 15, 121, 304, 536, 764, 924, 967, 879, 689, 453, 234, 78, 0, 0, 0, 24, 36, 33, 20, 6, 0, 0, 0, 5, 15, 24, 32, 36, 35, 28, 19, 9, 2, 0, 0, 2, 7, 11, 14, 16, 15, 14, 12, 11, 11, 11, 10, 9, 9, 9, 14, 25, 39, 49, 47, 29, 0, 0, 0, 89, 256, 480, 713, 889, 955, 889, 714, 483, 260, 94, 5, 0, 0, 15, 23, 18, 6, 0, 0, 0, 1, 5, 5, 4, 2, 1, 1, 3, 6, 8, 9, 8, 6, 3, 1, 0, 0, 1, 5, 9, 13, 14, 12, 9, 5, 1, 0, 0, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 0, 1, 2, 4, 5, 5, 5, 5, 3, 1, 0, 1, 4, 12, 22, 34, 46, 51, 46, 28, 4, 0, 0, 52, 162, 312, 470, 592, 641, 601, 484, 327, 173, 59, 0, 0, 2, 23, 37, 37, 28, 17, 7, 2, 1, 2, 3, 5, 10, 18, 32, 46, 56, 52, 33, 3, 0, 1, 81, 232, 435, 647, 810, 876, 822, 663, 442, 217, 45, 0, 0, 129, 332, 555, 738, 830, 808, 680, 487, 283, 118, 19, 0, 0, 21, 45, 56, 55, 48, 39, 31, 23, 15, 8, 4, 4, 9, 18, 30, 42, 50, 51, 43, 24, 1, 0, 2, 58, 160, 295, 434, 539, 581, 545, 438, 289, 135, 16, 0, 4, 132, 327, 547, 735, 840, 831, 712, 522, 316, 144, 36, 0, 0, 4, 14, 15, 11, 8, 8, 6, 0, 0, 0, 31, 115, 244, 396, 531, 607, 601, 514, 374, 222, 98, 20, 0, 0, 5, 15, 15, 8, 0, 0, 0, 1, 8, 15, 21, 26, 27, 25, 22, 16, 10, 6, 3, 3, 5, 10, 16, 22, 26, 27, 25, 20, 13, 7, 2, 0, 0, 3, 7, 11, 14, 18, 22, 27, 29, 25, 13, 0, 0, 1, 53, 145, 266, 386, 470, 491, 441, 338, 214, 102, 27, 0, 0, 2, 13, 15, 9, 1, 0, 0, 1, 9, 17, 23, 26, 26, 23, 23, 28, 38, 48, 50, 34, 5, 0, 0, 78, 253, 503, 777, 1002, 1112, 1071, 892, 632, 364, 152, 27, 0, 0, 13, 26, 24, 11, 1, 0, 9, 23, 36, 43, 43, 37, 29, 22, 17, 16, 19, 26, 35, 44, 51, 55, 55, 52, 48, 46, 47, 52, 57, 56, 41, 15, 0, 0, 38, 162, 357, 589, 802, 937, 951, 842, 643, 411, 205, 63, 0, 0, 5, 27, 36, 32, 22, 13, 11, 16, 25, 33, 39, 41, 41, 37, 33, 27, 21, 17, 18, 23, 32, 41, 48, 52, 52, 52, 53, 52, 43, 23, 0, 0, 5, 94, 260, 481, 711, 887, 956, 895, 725, 496, 272, 103, 10, 0, 0, 14, 24, 20, 8, 0, 0, 0, 0, 2, 4, 5, 8, 11, 15, 18, 18, 15, 11, 7, 3, 1, 1, 1, 3, 7, 16, 29, 43, 52, 46, 25, 0, 0, 8, 102, 268, 481, 690, 835, 871, 787, 609, 392, 194, 57, 0, 0, 4, 27, 40, 39, 31, 22, 15, 11, 7, 5, 4, 8, 18, 34, 53, 70, 77, 68, 42, 7, 0, 0, 72, 217, 414, 619, 777, 841, 789, 635, 420, 203, 39, 0, 0, 133, 334, 552, 734, 829, 812, 684, 481, 258, 75, 0, 0, 120, 315, 529, 703, 789, 763, 632, 435, 225, 57, 0, 0, 119, 312, 525, 702, 794, 777, 660, 480, 287, 129, 30, 0, 0, 9, 24, 28, 24, 19, 18, 21, 26, 28, 27, 23, 17, 12, 10, 10, 12, 12, 11, 8, 5, 3, 3, 6, 10, 16, 23, 31, 41, 48, 46, 31, 5, 0, 0, 63, 207, 417, 650, 850, 956, 937, 800, 585, 355, 163, 41, 0, 0, 7, 22, 25, 18, 8, 1, 0, 2, 6, 10, 14, 18, 23, 28, 29, 27, 21, 14, 8, 6, 7, 10, 12, 13, 14, 18, 26, 35, 38, 30, 9, 0, 0, 44, 171, 367, 596, 802, 923, 924, 803, 598, 369, 174, 46, 0, 0, 6, 24, 30, 24, 14, 5, 1, 1, 3, 6, 8, 11, 14, 20, 26, 33, 39, 44, 46, 44, 39, 31, 23, 18, 18, 23, 33, 46, 60, 70, 70, 55, 26, 0, 0, 22, 132, 315, 547, 773, 934, 981, 900, 716, 482, 260, 97, 8, 0, 0, 15, 27, 30, 28, 27, 24, 16, 2, 0, 1, 56, 167, 324, 496, 635, 700, 669, 546, 366, 179, 34, 0, 4, 128, 311, 509, 668, 747, 727, 616, 449, 272, 126, 32, 0, 0, 8, 24, 30, 29, 24, 18, 15, 13, 11, 8, 5, 2, 0, 0, 0, 0, 0, 0, 1, 3, 4, 5, 4, 2, 0, 0, 1, 4, 8, 12, 14, 13, 11, 7, 3, 0, 0, 0, 1, 9, 19, 27, 25, 13, 0, 0, 14, 91, 223, 391, 557, 674, 707, 646, 509, 338, 178, 62, 2, 0, 0, 11, 17, 12, 4, 0, 0, 0, 2, 6, 7, 5, 1, 0, 0, 0, 5, 11, 14, 8, 0, 0, 3, 49, 134, 250, 370, 463, 501, 472, 385, 266, 149, 58, 7, 0, 0, 10, 17, 16, 10, 3, 0, 0, 0, 1, 5, 9, 13, 16, 17, 15, 12, 8, 4, 1, 1, 2, 6, 13, 23, 36, 47, 52, 42, 19, 0, 0, 22, 129, 307, 524, 730, 866, 889, 792, 607, 388, 193, 59, 0, 0, 1, 19, 26, 23, 15, 10, 9, 11, 14, 17, 19, 21, 25, 31, 38, 45, 51, 49, 35, 11, 0, 0, 35, 150, 330, 544, 740, 863, 876, 774, 589, 376, 187, 57, 0, 0, 4, 25, 38, 38, 31, 22, 14, 10, 8, 7, 6, 7, 10, 16, 25, 36, 44, 43, 26, 0, 0, 0, 79, 237, 456, 692, 881, 967, 923, 762, 535, 305, 124, 20, 0, 0, 11, 22, 20, 9, 0, 0, 0, 0, 5, 7, 6, 4, 2, 1, 0, 0, 0, 0, 0, 1, 4, 7, 10, 12, 12, 10, 7, 3, 0, 0, 0, 3, 8, 15, 21, 26, 26, 24, 18, 11, 4, 0, 0, 0, 6, 15, 24, 32, 36, 35, 29, 20, 11, 2, 0, 0, 4, 12, 21, 29, 33, 32, 27, 18, 10, 3, 0, 0, 0, 0, 2, 3, 5, 6, 6, 4, 1, 0, 0, 3, 10, 19, 26, 29, 26, 20, 12, 4, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 7, 13, 18, 22, 23, 21, 17, 12, 7, 3, 0, 0, 0, 1, 5, 9, 13, 15, 15, 12, 8, 4, 1, 0, 0, 0, 3, 6, 10, 13, 13, 12, 8, 4, 2, 2, 6, 13, 20, 28, 37, 48, 58, 61, 51, 26, 0, 0, 16, 131, 330, 590, 852, 1048, 1118, 1042, 842, 576, 317, 120, 10, 0, 0, 31, 54, 57, 43, 23, 6, 0, 0, 4, 16, 30, 44, 56, 65, 68, 66, 59, 48, 37, 27, 20, 18, 20, 28, 40, 55, 66, 67, 52, 23, 0, 0, 39, 170, 378, 631, 870, 1031, 1065, 959, 739, 463, 203, 22, 0, 26, 204, 446, 690, 874, 949, 900, 743, 527, 309, 136, 32, 0, 0, 11, 23, 26, 24, 23, 22, 18, 6, 0, 0, 30, 128, 289, 488, 679, 807, 834, 752, 586, 384, 199, 68, 1, 0, 0, 15, 25, 24, 17, 11, 8, 8, 8, 9, 12, 17, 25, 37, 48, 56, 58, 54, 44, 32, 20, 11, 7, 8, 13, 18, 23, 24, 21, 16, 9, 3, 0, 0, 4, 13, 26, 40, 49, 50, 37, 14, 0, 0, 34, 133, 287, 470, 640, 752, 775, 703, 556, 376, 207, 82, 12, 0, 0, 16, 29, 32, 30, 26, 26, 29, 35, 39, 40, 38, 34, 31, 30, 32, 37, 42, 44, 43, 37, 29, 22, 19, 22, 29, 38, 44, 44, 37, 26, 14, 4, 0, 0, 4, 11, 19, 25, 29, 32, 31, 29, 24, 18, 12, 7, 3, 3, 5, 10, 17, 25, 29, 26, 13, 0, 0, 9, 75, 191, 343, 499, 618, 664, 623, 509, 354, 201, 82, 13, 0, 0, 9, 22, 28, 27, 20, 9, 0, 0, 1, 45, 130, 252, 391, 517, 597, 609, 550, 437, 299, 169, 71, 14, 0, 0, 13, 25, 30, 29, 24, 19, 16, 17, 20, 24, 29, 33, 36, 36, 33, 27, 20, 13, 7, 2, 1, 2, 8, 18, 30, 40, 42, 29, 6, 0, 0, 59, 199, 404, 639, 846, 967, 966, 842, 634, 399, 196, 60, 0, 0, 1, 16, 20, 13, 2, 0, 0, 0, 2, 5, 5, 3, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 5, 11, 17, 22, 23, 20, 14, 7, 1, 0, 0, 3, 6, 8, 8, 7, 6, 7, 8, 11, 13, 14, 12, 8, 3, 0, 0, 0, 7, 17, 28, 38, 43, 42, 36, 26, 16, 7, 2, 0, 0, 0, 0, 0, 0, 1, 5, 12, 19, 23, 24, 20, 14, 8, 6, 8, 16, 26, 36, 42, 43, 40, 33, 26, 21, 19, 20, 22, 26, 28, 29, 28, 25, 20, 15, 9, 4, 0, 0, 1, 5, 10, 15, 18, 18, 16, 11, 6, 3, 3, 6, 12, 19, 25, 29, 29, 25, 20, 14, 8, 3, 1, 0, 3, 9, 19, 32, 46, 52, 46, 25, 0, 0, 9, 98, 254, 457, 659, 807, 857, 792, 635, 431, 236, 91, 11, 0, 0, 8, 14, 11, 7, 6, 8, 8, 2, 0, 0, 31, 112, 236, 382, 514, 592, 592, 515, 385, 239, 113, 31, 0, 0, 5, 19, 26, 25, 21, 17, 16, 18, 21, 24, 27, 27, 27, 26, 24, 24, 24, 23, 22, 19, 13, 6, 1, 0, 2, 8, 16, 22, 24, 21, 16, 8, 2, 0, 0, 4, 14, 30, 47, 63, 73, 74, 65, 49, 31, 17, 10, 12, 20, 31, 40, 46, 48, 44, 32, 14, 0, 0, 10, 76, 190, 340, 493, 610, 657, 620, 508, 355, 202, 81, 11, 0, 1, 26, 49, 62, 63, 54, 37, 13, 0, 0, 25, 115, 261, 447, 634, 774, 828, 781, 645, 460, 273, 123, 32, 0, 0, 3, 12, 12, 7, 3, 4, 8, 14, 16, 15, 10, 4, 0, 0, 0, 3, 10, 17, 18, 12, 0, 0, 0, 43, 129, 249, 381, 492, 549, 536, 457, 336, 205, 96, 26, 0, 0, 3, 12, 16, 13, 9, 6, 6, 9, 13, 18, 22, 26, 27, 26, 21, 14, 7, 1, 0, 2, 8, 16, 22, 25, 23, 17, 10, 3, 0, 0, 0, 4, 9, 14, 18, 19, 18, 14, 9, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 8, 16, 24, 31, 33, 30, 23, 14, 7, 2, 0, 0, 1, 1, 1, 0, 0, 1, 4, 7, 10, 10, 8, 4, 1, 0, 0, 3, 8, 14, 19, 23, 24, 23, 20, 16, 13, 11, 11, 13, 17, 22, 26, 30, 31, 30, 27, 22, 19, 19, 21, 26, 30, 34, 36, 38, 40, 39, 32, 16, 0, 0, 10, 89, 230, 418, 617, 777, 854, 825, 699, 513, 315, 151, 44, 0, 0, 3, 15, 17, 10, 1, 0, 0, 5, 15, 25, 32, 36, 39, 41, 41, 39, 35, 27, 19, 10, 4, 0, 1, 4, 8, 12, 14, 13, 9, 5, 0, 0, 2, 8, 18, 27, 33, 34, 29, 21, 12, 4, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 5, 11, 20, 28, 35, 38, 36, 29, 20, 12, 9, 12, 22, 36, 52, 64, 72, 72, 67, 57, 46, 35, 26, 21, 21, 25, 32, 42, 50, 54, 53, 46, 36, 27, 21, 20, 25, 32, 40, 45, 48, 47, 43, 36, 24, 9, 0, 0, 19, 77, 171, 289, 409, 502, 544, 525, 449, 338, 219, 118, 52, 22, 21, 32, 44, 47, 41, 29, 17, 11, 12, 21, 35, 49, 60, 66, 64, 56, 45, 32, 23, 18, 20, 28, 39, 51, 61, 67, 67, 61, 49, 35, 20, 9, 3, 3, 11, 23, 38, 53, 64, 68, 58, 34, 4, 0, 1, 81, 235, 453, 698, 915, 1049, 1063, 954, 752, 511, 285, 116, 20, 0, 0, 23, 44, 54, 53, 47, 42, 40, 44, 52, 63, 76, 88, 99, 106, 106, 96, 73, 41, 8, 0, 11, 86, 225, 414, 623, 803, 911, 913, 804, 608, 374, 162, 25, 0, 86, 267, 491, 702, 845, 885, 813, 648, 432, 219, 59, 0, 25, 153, 336, 526, 673, 738, 708, 596, 435, 268, 131, 41, 0, 0, 1, 10, 11, 6, 0, 0, 0, 0, 3, 4, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 4, 4, 4, 3, 4, 7, 12, 21, 32, 42, 48, 49, 43, 31, 19, 9, 7, 13, 27, 44, 60, 71, 74, 71, 62, 51, 41, 31, 24, 21, 20, 24, 31, 41, 52, 61, 67, 67, 62, 53, 41, 28, 18, 12, 10, 14, 21, 28, 33, 35, 33, 27, 19, 10, 3, 0, 0, 5, 14, 25, 36, 44, 47, 43, 30, 11, 0, 0, 23, 95, 206, 342, 471, 559, 581, 531, 422, 286, 157, 60, 6, 0, 0, 11, 24, 32, 33, 27, 14, 0, 0, 9, 70, 183, 341, 517, 674, 769, 773, 681, 513, 312, 131, 17, 0, 84, 244, 438, 611, 719, 736, 661, 519, 350, 193, 77, 12, 0, 0, 16, 29, 34, 31, 24, 16, 9, 4, 2, 3, 10, 22, 37, 53, 65, 65, 52, 26, 0, 0, 22, 114, 270, 470, 676, 839, 914, 879, 739, 529, 300, 108, 0, 0, 88, 259, 460, 639, 751, 770, 695, 550, 374, 208, 82, 11, 0, 0, 23, 44, 52, 43, 19, 0, 0, 20, 117, 279, 488, 703, 870, 946, 908, 768, 565, 351, 172, 54, 0, 0, 0, 11, 14, 8, 1, 0, 0, 0, 1, 3, 4, 7, 11, 16, 20, 22, 20, 15, 8, 1, 0, 0, 6, 16, 29, 40, 47, 48, 44, 36, 28, 23, 21, 24, 28, 34, 38, 40, 40, 38, 36, 33, 30, 27, 27, 29, 35, 46, 61, 77, 88, 87, 72, 42, 8, 0, 7, 80, 215, 398, 594, 759, 851, 847, 747, 579, 386, 211, 84, 14, 0, 0, 10, 19, 20, 14, 7, 2, 0, 0, 1, 3, 6, 11, 17, 24, 29, 32, 31, 27, 21, 15, 11, 9, 9, 10, 11, 12, 13, 13, 12, 12, 14, 16, 20, 25, 28, 30, 31, 32, 34, 39, 42, 39, 26, 5, 0, 0, 58, 186, 377, 603, 815, 959, 995, 915, 741, 519, 304, 136, 35, 0, 0, 7, 17, 18, 11, 2, 0, 0, 0, 1, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 3, 5, 6, 7, 8, 6, 4, 1, 0, 2, 8, 18, 27, 34, 36, 32, 25, 16, 9, 6, 5, 7, 11, 17, 24, 31, 38, 42, 42, 38, 30, 21, 13, 10, 13, 22, 35, 48, 59, 66, 67, 62, 53, 42, 32, 27, 29, 37, 49, 63, 74, 79, 76, 66, 52, 37, 23, 12, 4, 0, 0, 1, 6, 12, 18, 21, 22, 20, 18, 19, 23, 30, 37, 42, 44, 42, 41, 40, 39, 34, 21, 1, 0, 0, 63, 191, 379, 594, 790, 914, 934, 844, 670, 459, 261, 111, 25, 0, 0, 6, 14, 12, 4, 0, 0, 0, 8, 20, 30, 39, 43, 44, 41, 36, 31, 26, 24, 25, 30, 38, 47, 53, 55, 52, 43, 33, 21, 13, 7, 5, 6, 8, 9, 10, 9, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 3, 8, 13, 16, 17, 15, 10, 4, 0, 0, 0, 2, 6, 9, 11, 11, 9, 7, 4, 1, 0, 0, 0, 2, 7, 12, 16, 19, 18, 15, 10, 5, 1, 0, 0, 0, 2, 6, 9, 12, 14, 14, 12, 8, 3, 0, 0, 2, 9, 20, 31, 40, 43, 41, 35, 26, 17, 12, 12, 15, 22, 29, 35, 38, 39, 36, 30, 21, 12, 4, 0, 0, 6, 18, 33, 46, 54, 55, 47, 33, 18, 6, 0, 2, 10, 21, 33, 42, 44, 37, 23, 4, 0, 1, 44, 129, 254, 400, 539, 639, 673, 630, 519, 367, 213, 98, 51, 87, 198, 355, 517, 643, 700, 676, 579, 436, 282, 148, 54, 6, 0, 2, 17, 27, 30, 28, 26, 26, 29, 35, 41, 45, 46, 46, 44, 41, 39, 36, 33, 30, 28, 28, 32, 40, 49, 59, 65, 65, 59, 49, 36, 23, 13, 8, 6, 9, 15, 22, 28, 33, 34, 31, 25, 16, 7, 0, 0, 0, 8, 21, 34, 45, 49, 45, 36, 25, 18, 17, 23, 33, 44, 55, 63, 69, 71, 66, 51, 28, 3, 0, 10, 80, 206, 378, 565, 727, 821, 823, 727, 558, 356, 172, 50, 20, 85, 228, 409, 583, 705, 747, 700, 582, 423, 262, 129, 41, 0, 0, 4, 19, 29, 28, 16, 0, 0, 0, 41, 130, 262, 421, 579, 700, 756, 735, 642, 501, 343, 199, 91, 25, 0, 0, 13, 28, 36, 38, 33, 26, 19, 14, 12, 12, 15, 21, 28, 37, 47, 53, 56, 52, 43, 31, 18, 10, 9, 17, 32, 50, 65, 71, 63, 41, 12, 0, 4, 62, 178, 346, 541, 725, 856, 900, 843, 697, 498, 295, 139, 67, 93, 208, 378, 557, 698, 764, 739, 631, 469, 296, 157, 91, 116, 227, 394, 573, 717, 787, 766, 662, 502, 328, 176, 69, 12, 0, 0, 7, 11, 8, 3, 0, 0, 1, 4, 5, 5, 3, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 4, 5, 6, 6, 6, 8, 12, 18, 26, 33, 37, 38, 34, 27, 18, 10, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 7, 12, 17, 21, 22, 20, 15, 9, 3, 0, 0, 1, 5, 9, 12, 12, 10, 7, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 5, 9, 12, 14, 13, 10, 6, 3, 3, 6, 10, 15, 19, 22, 22, 21, 18, 15, 11, 8, 6, 5, 6, 7, 8, 9, 8, 6, 3, 0, 0, 0, 4, 13, 23, 34, 41, 45, 43, 37, 29, 22, 17, 15, 15, 16, 16, 15, 11, 7, 3, 0, 0, 0, 0, 0, 0, 0, 1, 5, 12, 20, 25, 27, 23, 16, 8, 2, 0, 0, 3, 7, 11, 13, 15, 16, 17, 16, 14, 11, 7, 3, 0, 0, 0, 3, 8, 14, 17, 17, 13, 7, 2, 1, 6, 19, 38, 57, 73, 77, 65, 40, 10, 0, 3, 65, 187, 359, 556, 738, 866, 908, 856, 724, 543, 354, 192, 78, 16, 0, 0, 6, 15, 20, 19, 13, 3, 0, 0, 20, 77, 172, 295, 426, 536, 598, 599, 537, 430, 303, 183, 90, 30, 2, 0, 0, 4, 9, 12, 11, 5, 0, 0, 4, 43, 119, 231, 363, 489, 581, 614, 582, 491, 366, 235, 124, 47, 7, 0, 0, 5, 8, 5, 0, 0, 0, 5, 18, 33, 46, 54, 55, 48, 37, 25, 16, 11, 12, 14, 18, 19, 17, 12, 6, 1, 0, 0, 3, 10, 19, 27, 33, 37, 40, 42, 44, 45, 47, 46, 42, 36, 29, 24, 23, 25, 31, 36, 38, 35, 27, 18, 9, 3, 0, 0, 0, 0, 0, 0, 1, 3, 5, 6, 7, 8, 10, 14, 21, 28, 35, 38, 39, 37, 34, 29, 20, 8, 0, 0, 23, 95, 219, 391, 586, 767, 893, 932, 872, 728, 534, 335, 168, 57, 3, 0, 0, 9, 12, 8, 1, 0, 0, 0, 2, 4, 4, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 3, 9, 17, 26, 34, 39, 40, 38, 33, 22, 7, 0, 0, 27, 105, 238, 414, 607, 776, 882, 896, 816, 661, 468, 281, 133, 40, 0, 0, 1, 8, 8, 3, 0, 0, 8, 19, 28, 32, 30, 23, 14, 6, 1, 0, 0, 0, 0, 2, 5, 8, 12, 14, 15, 13, 9, 4, 0, 0, 0, 4, 13, 23, 31, 35, 33, 27, 17, 8, 1, 0, 0, 2, 7, 14, 20, 25, 28, 27, 23, 16, 9, 2, 0, 0, 7, 19, 32, 43, 47, 41, 26, 8, 0, 9, 54, 138, 259, 402, 541, 648, 698, 675, 584, 443, 289, 162, 96, 113, 210, 363, 534, 679, 759, 754, 666, 520, 356, 216, 137, 136, 210, 335, 475, 592, 655, 649, 577, 460, 323, 195, 96, 33, 3, 0, 0, 7, 12, 15, 17, 20, 23, 28, 35, 44, 55, 67, 75, 79, 76, 65, 49, 31, 15, 4, 0, 0, 4, 11, 20, 27, 30, 30, 25, 17, 8, 1, 0, 5, 15, 29, 42, 51, 51, 42, 24, 4, 0, 6, 56, 153, 291, 455, 613, 733, 786, 758, 655, 503, 338, 203, 130, 137, 220, 359, 518, 658, 746, 761, 702, 582, 431, 278, 149, 60, 13, 0, 0, 6, 9, 8, 4, 3, 9, 22, 40, 57, 71, 78, 78, 71, 61, 51, 43, 37, 35, 37, 41, 48, 58, 69, 77, 82, 81, 72, 56, 37, 18, 4, 0, 1, 13, 32, 50, 62, 61, 46, 23, 2, 0, 29, 103, 223, 378, 545, 693, 792, 820, 767, 645, 480, 310, 175, 105, 116, 204, 346, 508, 650, 739, 754, 694, 574, 423, 279, 174, 132, 163, 256, 386, 521, 625, 674, 656, 575, 452, 313, 185, 88, 27, 0, 0, 2, 10, 15, 17, 16, 14, 11, 8, 5, 2, 1, 0, 1, 1, 2, 4, 6, 10, 16, 23, 29, 34, 35, 34, 31, 29, 27, 25, 20, 9, 0, 0, 15, 74, 181, 333, 510, 680, 808, 864, 836, 731, 572, 394, 231, 107, 32, 0, 0, 1, 6, 6, 2, 0, 0, 3, 11, 19, 25, 26, 23, 18, 11, 6, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 8, 18, 30, 41, 50, 54, 53, 49, 42, 34, 28, 23, 20, 18, 18, 19, 21, 22, 22, 20, 17, 13, 9, 5, 3, 1, 1, 0, 0, 0, 2, 6, 11, 16, 19, 21, 19, 15, 11, 7, 3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 5, 8, 11, 13, 12, 9, 5, 1, 0, 0, 3, 9, 16, 22, 26, 27, 25, 21, 16, 10, 4, 0, 0, 2, 8, 17, 26, 32, 33, 29, 21, 14, 10, 11, 19, 30, 42, 53, 60, 62, 61, 58, 54, 52, 52, 54, 59, 63, 66, 66, 61, 49, 33, 14, 0, 0, 27, 93, 202, 347, 510, 661, 770, 809, 768, 655, 497, 332, 201, 137, 150, 236, 366, 507, 621, 682, 675, 604, 487, 349, 218, 112, 42, 7, 0, 0, 4, 6, 4, 1, 0, 0, 0, 3, 9, 15, 19, 22, 22, 18, 13, 8, 3, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 6, 10, 12, 11, 8, 3, 0, 2, 11, 26, 43, 57, 63, 57, 41, 22, 9, 16, 51, 120, 221, 343, 468, 574, 642, 658, 618, 529, 410, 281, 166, 79, 25, 1, 0, 0, 3, 2, 0, 0, 4, 14, 28, 41, 50, 53, 51, 45, 38, 32, 30, 29, 29, 30, 32, 33, 36, 40, 44, 48, 49, 47, 42, 34, 25, 16, 8, 2, 0, 1, 6, 14, 23, 30, 33, 29, 21, 11, 6, 13, 39, 88, 158, 242, 328, 399, 442, 447, 412, 345, 258, 169, 93, 39, 9, 0, 1, 7, 11, 11, 7, 3, 0, 0, 0, 4, 11, 18, 24, 28, 27, 23, 16, 9, 4, 0, 0, 1, 4, 10, 16, 22, 26, 25, 17, 5, 0, 0, 27, 90, 186, 307, 431, 533, 592, 596, 544, 449, 333, 217, 119, 50, 11, 0, 0, 4, 10, 11, 7, 0, 0, 2, 31, 88, 174, 282, 394, 491, 551, 562, 522, 442, 340, 235, 147, 85, 50, 38, 39, 43, 44, 39, 29, 17, 6, 0, 0, 4, 14, 26, 36, 41, 39, 29, 16, 6, 9, 34, 89, 175, 285, 405, 516, 596, 627, 602, 526, 414, 288, 172, 82, 26, 0, 0, 0, 6, 10, 10, 5, 0, 0, 2, 30, 84, 166, 269, 377, 470, 529, 539, 498, 416, 310, 201, 108, 43, 7, 0, 0, 9, 18, 22, 22, 19, 15, 12, 10, 11, 14, 19, 25, 31, 36, 39, 39, 36, 32, 27, 24, 24, 29, 36, 45, 53, 57, 57, 53, 47, 41, 37, 37, 40, 46, 53, 58, 59, 55, 45, 34, 29, 38, 69, 125, 203, 292, 374, 431, 449, 423, 359, 271, 177, 95, 37, 7, 0, 3, 11, 17, 18, 14, 10, 7, 8, 10, 13, 13, 11, 7, 2, 0, 0, 2, 5, 7, 8, 6, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 4, 3, 2, 0, 0, 0, 3, 7, 12, 17, 20, 21, 21, 20, 19, 20, 24, 30, 39, 48, 56, 63, 67, 69, 69, 69, 68, 68, 67, 66, 65, 63, 61, 61, 62, 66, 71, 78, 85, 93, 100, 107, 113, 117, 117, 114, 105, 93, 82, 81, 97, 140, 212, 311, 428, 546, 647, 714, 732, 698, 619, 506, 380, 260, 162, 94, 59, 50, 57, 70, 80, 80, 72, 58, 49, 57, 92, 164, 275, 416, 569, 709, 808, 846, 812, 715, 581, 446, 354, 341, 426, 607, 856, 1127, 1364, 1516, 1551, 1461, 1265, 1002, 719, 458, 250, 108, 29, 0, 2, 17, 32, 40, 40, 32, 22, 12, 5, 1, 1, 1, 2, 2, 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],
"basecallPos": [467, 477, 487, 501, 515, 525, 536, 550, 563, 578, 588, 599, 611, 619, 631, 644, 658, 670, 682, 692, 703, 716, 725, 740, 752, 763, 774, 785, 796, 811, 822, 833, 845, 856, 867, 878, 891, 903, 913, 926, 938, 951, 964, 978, 993, 1003, 1016, 1026, 1036, 1048, 1061, 1072, 1085, 1097, 1109, 1121, 1134, 1146, 1160, 1173, 1183, 1194, 1205, 1216, 1229, 1242, 1255, 1266, 1277, 1290, 1302, 1313, 1325, 1336, 1348, 1357, 1370, 1383, 1396, 1408, 1422, 1435, 1446, 1458, 1471, 1482, 1494, 1506, 1519, 1531, 1543, 1555, 1568, 1579, 1590, 1602, 1614, 1626, 1638, 1652, 1664, 1676, 1689, 1701, 1713, 1725, 1737, 1749, 1760, 1771, 1781, 1792, 1804, 1816, 1829, 1841, 1853, 1865, 1879, 1892, 1904, 1916, 1929, 1940, 1952, 1964, 1975, 1987, 1998, 2010, 2023, 2034, 2046, 2058, 2070, 2082, 2092, 2103, 2114, 2127, 2137, 2151, 2163, 2176, 2188, 2200, 2212, 2224, 2236, 2247, 2260, 2272, 2284, 2297, 2310, 2322, 2333, 2343, 2355, 2368, 2379, 2392, 2403, 2415, 2426, 2439, 2450, 2464, 2476, 2487, 2498, 2510, 2522, 2534, 2546, 2556, 2568, 2581, 2593, 2606, 2618, 2628, 2640, 2652, 2664, 2675, 2688, 2701, 2713, 2724, 2736, 2748, 2761, 2772, 2783, 2794, 2806, 2818, 2830, 2841, 2852, 2863, 2876, 2886, 2899, 2912, 2923, 2936, 2949, 2962, 2974, 2986, 2998, 3010, 3021, 3033, 3045, 3057, 3069, 3080, 3091, 3104, 3116, 3126, 3138, 3150, 3162, 3174, 3187, 3199, 3210, 3222, 3234, 3245, 3257, 3270, 3280, 3292, 3304, 3317, 3329, 3341, 3353, 3365, 3376, 3387, 3400, 3413, 3425, 3437, 3449, 3461, 3474, 3485, 3497, 3510, 3521, 3532, 3543, 3556, 3568, 3581, 3593, 3604, 3616, 3628, 3639, 3651, 3663, 3675, 3688, 3701, 3713, 3723, 3736, 3746, 3758, 3771, 3782, 3794, 3807, 3820, 3832, 3844, 3856, 3868, 3881, 3892, 3905, 3917, 3929, 3941, 3953, 3964, 3976, 3987, 3999, 4012, 4024, 4035, 4047, 4058, 4070, 4082, 4094, 4106, 4118, 4131, 4143, 4154, 4166, 4178, 4191, 4203, 4216, 4228, 4241, 4253, 4264, 4275, 4288, 4300, 4312, 4325, 4336, 4347, 4359, 4372, 4383, 4395, 4406, 4419, 4431, 4443, 4455, 4467, 4479, 4490, 4501, 4513, 4524, 4537, 4550, 4562, 4575, 4587, 4599, 4610, 4622, 4634, 4646, 4658, 4669, 4681, 4693, 4705, 4718, 4729, 4742, 4754, 4766, 4778, 4790, 4802, 4815, 4827, 4839, 4851, 4863, 4875, 4887, 4898, 4910, 4922, 4935, 4946, 4959, 4971, 4983, 4995, 5007, 5020, 5032, 5044, 5056, 5069, 5081, 5093, 5105, 5117, 5129, 5140, 5151, 5164, 5175, 5187, 5200, 5212, 5224, 5236, 5249, 5261, 5273, 5284, 5295, 5308, 5320, 5333, 5344, 5357, 5369, 5381, 5393, 5404, 5417, 5428, 5439, 5451, 5463, 5475, 5488, 5500, 5510, 5523, 5536, 5548, 5559, 5572, 5584, 5594, 5605, 5617, 5629, 5641, 5654, 5666, 5677, 5689, 5702, 5713, 5725, 5737, 5748, 5761, 5773, 5785, 5797, 5809, 5821, 5833, 5845, 5858, 5869, 5881, 5892, 5904, 5916, 5929, 5941, 5953, 5966, 5978, 5989, 6001, 6014, 6027, 6039, 6050, 6062, 6074, 6087, 6100, 6112, 6123, 6134, 6146, 6158, 6169, 6181, 6194, 6206, 6218, 6229, 6241, 6253, 6265, 6277, 6290, 6303, 6315, 6327, 6339, 6350, 6362, 6373, 6385, 6396, 6409, 6422, 6435, 6447, 6460, 6472, 6485, 6496, 6507, 6518, 6530, 6542, 6555, 6566, 6578, 6590, 6604, 6616, 6627, 6638, 6650, 6663, 6674, 6686, 6699, 6709, 6722, 6735, 6747, 6758, 6772, 6783, 6796, 6807, 6819, 6830, 6842, 6853, 6866, 6878, 6891, 6904, 6916, 6928, 6939, 6951, 6963, 6976, 6989, 7000, 7011, 7023, 7035, 7047, 7060, 7071, 7084, 7097, 7109, 7121, 7133, 7145, 7157, 7169, 7181, 7193, 7204, 7216],
"basecalls": {"467":"1:C", "477":"2:A", "487":"3:T", "501":"4:G", "515":"5:C", "525":"6:A", "536":"7:T", "550":"8:T", "563":"9:G", "578":"10:A", "588":"11:A", "599":"12:C", "611":"13:C", "619":"14:A", "631":"15:A", "644":"16:G", "658":"17:T", "670":"18:T", "682":"19:T", "692":"20:A", "703":"21:T", "716":"22:C", "725":"23:A", "740":"24:G", "752":"25:A", "763":"26:T", "774":"27:A", "785":"28:A", "796":"29:T", "811":"30:G", "822":"31:T", "833":"32:A", "845":"33:T", "856":"34:A", "867":"35:T", "878":"36:A", "891":"37:C", "903":"38:C", "913":"39:A", "926":"40:C", "938":"41:C", "951":"42:C", "964":"43:G", "978":"44:G", "993":"45:A", "1003":"46:G", "1016":"47:C", "1026":"48:A", "1036":"49:C", "1048":"50:C", "1061":"51:T", "1072":"52:A", "1085":"53:T", "1097":"54:C", "1109":"55:C", "1121":"56:C", "1134":"57:T", "1146":"58:G", "1160":"59:G", "1173":"60:T", "1183":"61:A", "1194":"62:A", "1205":"63:A", "1216":"64:T", "1229":"65:G", "1242":"66:G", "1255":"67:A", "1266":"68:A", "1277":"69:C", "1290":"70:G", "1302":"71:A", "1313":"72:T", "1325":"73:T", "1336":"74:A", "1348":"75:C", "1357":"76:A", "1370":"77:C", "1383":"78:G", "1396":"79:T", "1408":"80:G", "1422":"81:G", "1435":"82:C", "1446":"83:A", "1458":"84:G", "1471":"85:A", "1482":"86:C", "1494":"87:G", "1506":"88:T", "1519":"89:C", "1531":"90:C", "1543":"91:T", "1555":"92:C", "1568":"93:T", "1579":"94:A", "1590":"95:A", "1602":"96:C", "1614":"97:C", "1626":"98:C", "1638":"99:G", "1652":"100:T", "1664":"101:C", "1676":"102:G", "1689":"103:G", "1701":"104:T", "1713":"105:G", "1725":"106:T", "1737":"107:T", "1749":"108:T", "1760":"109:T", "1771":"110:A", "1781":"111:C", "1792":"112:A", "1804":"113:C", "1816":"114:C", "1829":"115:T", "1841":"116:A", "1853":"117:T", "1865":"118:G", "1879":"119:G", "1892":"120:G", "1904":"121:G", "1916":"122:C", "1929":"123:G", "1940":"124:C", "1952":"125:C", "1964":"126:C", "1975":"127:C", "1987":"128:C", "1998":"129:A", "2010":"130:G", "2023":"131:C", "2034":"132:A", "2046":"133:A", "2058":"134:G", "2070":"135:A", "2082":"136:A", "2092":"137:T", "2103":"138:A", "2114":"139:T", "2127":"140:C", "2137":"141:A", "2151":"142:G", "2163":"143:T", "2176":"144:G", "2188":"145:C", "2200":"146:C", "2212":"147:C", "2224":"148:T", "2236":"149:A", "2247":"150:T", "2260":"151:G", "2272":"152:T", "2284":"153:G", "2297":"154:G", "2310":"155:G", "2322":"156:A", "2333":"157:A", "2343":"158:T", "2355":"159:T", "2368":"160:G", "2379":"161:C", "2392":"162:T", "2403":"163:A", "2415":"164:A", "2426":"165:T", "2439":"166:G", "2450":"167:C", "2464":"168:G", "2476":"169:T", "2487":"170:A", "2498":"171:T", "2510":"172:T", "2522":"173:C", "2534":"174:C", "2546":"175:C", "2556":"176:A", "2568":"177:C", "2581":"178:T", "2593":"179:T", "2606":"180:T", "2618":"181:T", "2628":"182:A", "2640":"183:T", "2652":"184:G", "2664":"185:A", "2675":"186:T", "2688":"187:G", "2701":"188:G", "2713":"189:G", "2724":"190:T", "2736":"191:T", "2748":"192:T", "2761":"193:G", "2772":"194:C", "2783":"195:A", "2794":"196:A", "2806":"197:A", "2818":"198:A", "2830":"199:G", "2841":"200:T", "2852":"201:A", "2863":"202:C", "2876":"203:C", "2886":"204:A", "2899":"205:C", "2912":"206:T", "2923":"207:A", "2936":"208:G", "2949":"209:C", "2962":"210:G", "2974":"211:G", "2986":"212:G", "2998":"213:T", "3010":"214:C", "3021":"215:A", "3033":"216:G", "3045":"217:G", "3057":"218:C", "3069":"219:C", "3080":"-", "3091":"-", "3104":"220:T", "3116":"221:C", "3126":"222:A", "3138":"223:A", "3150":"224:C", "3162":"225:T", "3174":"226:G", "3187":"227:A", "3199":"228:A", "3210":"-", "3222":"229:G", "3234":"230:G", "3245":"231:T", "3257":"232:G", "3270":"233:A", "3280":"234:T", "3292":"235:T", "3304":"236:C", "3317":"237:G", "3329":"238:T", "3341":"239:T", "3353":"240:G", "3365":"241:T", "3376":"242:A", "3387":"243:C", "3400":"244:G", "3413":"245:G", "3425":"246:T", "3437":"247:G", "3449":"248:C", "3461":"249:T", "3474":"250:G", "3485":"251:C", "3497":"252:C", "3510":"253:T", "3521":"254:C", "3532":"255:A", "3543":"256:C", "3556":"257:T", "3568":"258:G", "3581":"259:A", "3593":"260:A", "3604":"261:T", "3616":"262:G", "3628":"263:A", "3639":"264:T", "3651":"265:T", "3663":"266:T", "3675":"267:T", "3688":"268:G", "3701":"269:G", "3713":"270:A", "3723":"271:T", "3736":"272:C", "3746":"273:A", "3758":"274:C", "3771":"275:T", "3782":"276:A", "3794":"277:G", "3807":"278:C", "3820":"279:T", "3832":"280:G", "3844":"281:T", "3856":"282:T", "3868":"283:C", "3881":"284:G", "3892":"285:C", "3905":"286:G", "3917":"287:T", "3929":"288:G", "3941":"289:G", "3953":"290:T", "3964":"291:A", "3976":"292:A", "3987":"293:A", "3999":"294:T", "4012":"295:G", "4024":"296:A", "4035":"297:T", "4047":"298:C", "4058":"299:A", "4070":"300:T", "4082":"301:A", "4094":"302:A", "4106":"303:C", "4118":"304:C", "4131":"305:C", "4143":"306:C", "4154":"307:A", "4166":"308:C", "4178":"309:G", "4191":"310:C", "4203":"311:G", "4216":"312:G", "4228":"313:C", "4241":"314:T", "4253":"315:C", "4264":"316:A", "4275":"317:C", "4288":"318:T", "4300":"319:T", "4312":"320:C", "4325":"321:T", "4336":"322:A", "4347":"323:A", "4359":"324:G", "4372":"325:A", "4383":"326:T", "4395":"327:C", "4406":"328:A", "4419":"329:G", "4431":"330:A", "4443":"331:G", "4455":"332:T", "4467":"333:G", "4479":"334:T", "4490":"335:A", "4501":"336:C", "4513":"337:A", "4524":"338:T", "4537":"339:G", "4550":"340:A", "4562":"341:A", "4575":"342:G", "4587":"343:C", "4599":"344:C", "4610":"345:A", "4622":"346:A", "4634":"347:A", "4646":"348:G", "4658":"349:C", "4669":"350:A", "4681":"351:T", "4693":"352:G", "4705":"353:T", "4718":"354:C", "4729":"355:A", "4742":"356:G", "4754":"357:A", "4766":"358:G", "4778":"359:T", "4790":"360:C", "4802":"361:T", "4815":"362:G", "4827":"363:G", "4839":"364:T", "4851":"365:G", "4863":"366:C", "4875":"367:C", "4887":"368:C", "4898":"369:A", "4910":"370:C", "4922":"371:G", "4935":"372:A", "4946":"373:C", "4959":"374:C", "4971":"375:T", "4983":"376:C", "4995":"377:C", "5007":"378:G", "5020":"379:C", "5032":"380:G", "5044":"381:G", "5056":"382:G", "5069":"383:C", "5081":"384:G", "5093":"385:G", "5105":"386:T", "5117":"387:C", "5129":"388:C", "5140":"389:C", "5151":"390:A", "5164":"391:T", "5175":"392:A", "5187":"393:C", "5200":"394:T", "5212":"395:T", "5224":"396:T", "5236":"397:G", "5249":"398:G", "5261":"399:A", "5273":"400:C", "5284":"401:C", "5295":"402:A", "5308":"403:G", "5320":"404:G", "5333":"405:T", "5344":"406:G", "5357":"407:T", "5369":"408:T", "5381":"409:G", "5393":"410:A", "5404":"411:T", "5417":"412:T", "5428":"413:A", "5439":"414:T", "5451":"415:A", "5463":"416:A", "5475":"417:A", "5488":"418:G", "5500":"419:A", "5510":"420:T", "5523":"421:G", "5536":"422:G", "5548":"423:A", "5559":"424:C", "5572":"425:T", "5584":"426:C", "5594":"-", "5605":"-", "5617":"427:A", "5629":"428:C", "5641":"429:C", "5654":"430:C", "5666":"431:C", "5677":"432:A", "5689":"433:C", "5702":"434:T", "5713":"435:A", "5725":"436:C", "5737":"437:C", "5748":"438:A", "5761":"439:G", "5773":"440:A", "5785":"441:A", "5797":"442:A", "5809":"443:A", "5821":"444:G", "5833":"445:G", "5845":"446:G", "5858":"447:G", "5869":"448:T", "5881":"449:T", "5892":"450:A", "5904":"451:A", "5916":"452:C", "5929":"453:G", "5941":"454:A", "5953":"455:C", "5966":"456:T", "5978":"457:T", "5989":"458:A", "6001":"459:T", "6014":"460:G", "6027":"461:G", "6039":"462:A", "6050":"463:T", "6062":"464:T", "6074":"465:T", "6087":"466:G", "6100":"467:G", "6112":"468:A", "6123":"469:C", "6134":"470:A", "6146":"471:C", "6158":"472:C", "6169":"473:A", "6181":"474:A", "6194":"475:A", "6206":"476:A", "6218":"477:C", "6229":"478:A", "6241":"479:A", "6253":"480:A", "6265":"481:G", "6277":"482:C", "6290":"483:T", "6303":"484:G", "6315":"485:T", "6327":"486:G", "6339":"487:T", "6350":"488:A", "6362":"489:C", "6373":"490:A", "6385":"491:C", "6396":"492:A", "6409":"493:G", "6422":"494:C", "6435":"495:T", "6447":"496:G", "6460":"497:G", "6472":"498:C", "6485":"499:T", "6496":"500:A", "6507":"501:C", "6518":"502:A", "6530":"503:A", "6542":"504:A", "6555":"505:A", "6566":"506:T", "6578":"507:T", "6590":"508:T", "6604":"509:G", "6616":"510:C", "6627":"511:A", "6638":"512:A", "6650":"513:T", "6663":"514:T", "6674":"515:A", "6686":"516:C", "6699":"517:C", "6709":"518:A", "6722":"519:T", "6735":"520:T", "6747":"521:T", "6758":"522:A", "6772":"523:G", "6783":"524:C", "6796":"525:T", "6807":"526:A", "6819":"527:C", "6830":"528:A", "6842":"529:C", "6853":"530:A", "6866":"531:A", "6878":"532:G", "6891":"533:A", "6904":"534:A", "6916":"535:G", "6928":"536:A", "6939":"537:C", "6951":"538:T", "6963":"539:T", "6976":"540:G", "6989":"541:C", "7000":"542:A", "7011":"543:A", "7023":"544:A", "7035":"545:A", "7047":"546:T", "7060":"547:G", "7071":"548:C", "7084":"549:C", "7097":"550:G", "7109":"551:T", "7121":"552:A", "7133":"553:A", "7145":"554:G", "7157":"555:T", "7169":"556:G", "7181":"557:T", "7193":"558:C", "7204":"559:A", "7216":"560:T"}
}
, {
"traceFileName": "dataset_152160",
"leadingGaps": 2456,
"trailingGaps": 4404,
"peakA": [576, 583, 590, 598, 604, 605, 599, 588, 577, 568, 561, 552, 540, 521, 498, 474, 450, 430, 411, 390, 365, 334, 301, 271, 249, 239, 239, 243, 243, 233, 209, 173, 134, 101, 83, 82, 97, 119, 138, 145, 136, 112, 81, 51, 31, 23, 28, 38, 47, 50, 44, 31, 16, 4, 0, 0, 7, 15, 21, 21, 17, 11, 5, 1, 0, 0, 0, 0, 0, 1, 5, 9, 12, 14, 12, 9, 4, 1, 0, 0, 0, 1, 0, 0, 0, 0, 4, 9, 13, 15, 14, 11, 6, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 3, 8, 14, 19, 20, 17, 11, 4, 0, 0, 2, 9, 16, 20, 20, 16, 9, 3, 0, 0, 2, 4, 6, 6, 4, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 7, 14, 20, 23, 21, 16, 9, 2, 0, 0, 3, 8, 13, 14, 12, 7, 2, 0, 0, 5, 12, 19, 23, 22, 16, 9, 2, 0, 0, 3, 10, 17, 21, 22, 19, 13, 6, 0, 0, 0, 6, 16, 26, 33, 36, 33, 25, 16, 7, 1, 0, 0, 0, 2, 4, 4, 3, 0, 0, 0, 15, 45, 91, 147, 206, 260, 306, 346, 385, 427, 475, 527, 576, 615, 640, 652, 654, 650, 645, 638, 628, 611, 585, 549, 507, 462, 419, 382, 352, 331, 323, 328, 346, 377, 415, 454, 486, 505, 509, 499, 480, 457, 437, 424, 417, 412, 401, 379, 342, 293, 240, 191, 154, 131, 119, 113, 108, 106, 109, 125, 159, 211, 277, 348, 413, 461, 487, 488, 465, 421, 363, 298, 233, 178, 136, 111, 101, 104, 119, 146, 186, 239, 305, 378, 448, 504, 534, 532, 497, 435, 358, 276, 201, 138, 91, 58, 41, 38, 51, 81, 127, 187, 254, 321, 380, 424, 447, 448, 429, 395, 348, 296, 241, 188, 138, 95, 59, 31, 13, 3, 0, 0, 0, 2, 3, 2, 1, 0, 0, 0, 1, 3, 4, 3, 0, 0, 1, 22, 67, 134, 221, 315, 402, 471, 514, 529, 520, 490, 445, 388, 323, 252, 181, 115, 62, 25, 5, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 3, 9, 13, 13, 7, 0, 0, 15, 57, 126, 214, 310, 398, 467, 510, 530, 531, 523, 514, 510, 515, 532, 557, 585, 604, 603, 572, 509, 418, 316, 217, 136, 79, 46, 30, 22, 17, 11, 4, 0, 0, 4, 29, 81, 166, 287, 439, 606, 765, 891, 962, 965, 901, 783, 634, 480, 341, 232, 153, 99, 63, 36, 16, 3, 0, 0, 9, 21, 30, 33, 29, 20, 10, 2, 0, 0, 1, 6, 12, 18, 23, 27, 29, 30, 31, 32, 32, 30, 26, 19, 11, 4, 0, 0, 0, 0, 0, 0, 2, 19, 54, 109, 183, 271, 365, 456, 534, 587, 605, 581, 517, 420, 307, 199, 112, 56, 31, 26, 31, 33, 30, 22, 14, 10, 12, 18, 24, 28, 30, 30, 32, 34, 37, 37, 33, 26, 16, 7, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 9, 32, 69, 120, 183, 253, 323, 384, 429, 451, 445, 409, 347, 270, 189, 116, 60, 23, 3, 0, 0, 12, 42, 93, 167, 260, 359, 452, 522, 558, 552, 510, 442, 369, 310, 283, 294, 338, 399, 455, 486, 481, 438, 366, 282, 199, 129, 76, 39, 15, 2, 0, 1, 11, 25, 39, 48, 49, 42, 30, 17, 7, 1, 0, 0, 0, 0, 1, 4, 5, 3, 0, 0, 7, 43, 114, 221, 355, 496, 618, 698, 725, 698, 636, 563, 512, 504, 550, 641, 755, 856, 912, 899, 813, 666, 488, 312, 166, 66, 13, 0, 0, 3, 6, 5, 2, 0, 0, 0, 0, 1, 8, 20, 34, 47, 54, 53, 43, 28, 13, 3, 0, 0, 1, 2, 1, 0, 0, 3, 8, 15, 20, 21, 17, 11, 4, 0, 0, 0, 2, 4, 3, 1, 0, 0, 0, 5, 10, 14, 17, 18, 17, 16, 16, 17, 18, 18, 15, 11, 5, 0, 0, 0, 0, 3, 4, 1, 0, 0, 22, 78, 178, 328, 514, 713, 887, 1000, 1024, 950, 794, 590, 382, 208, 87, 20, 0, 0, 1, 23, 66, 135, 231, 338, 436, 502, 522, 492, 422, 327, 227, 136, 67, 23, 2, 0, 6, 15, 20, 20, 15, 8, 3, 1, 1, 2, 2, 1, 0, 0, 0, 3, 5, 2, 0, 0, 14, 63, 152, 281, 435, 588, 709, 770, 755, 669, 529, 368, 217, 100, 28, 0, 0, 2, 11, 14, 11, 7, 2, 0, 0, 0, 3, 8, 14, 22, 31, 39, 45, 47, 45, 39, 31, 20, 10, 1, 0, 0, 1, 7, 9, 5, 0, 0, 8, 56, 148, 286, 455, 631, 783, 881, 906, 851, 728, 562, 383, 223, 103, 30, 0, 0, 1, 13, 25, 36, 46, 53, 54, 49, 38, 26, 17, 16, 22, 34, 48, 60, 68, 70, 66, 57, 45, 30, 15, 3, 0, 0, 12, 29, 47, 61, 65, 58, 45, 29, 16, 9, 7, 7, 6, 5, 2, 1, 4, 11, 22, 32, 37, 37, 32, 23, 13, 6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 10, 14, 15, 14, 10, 6, 2, 0, 0, 1, 2, 2, 2, 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, 1, 4, 7, 10, 11, 10, 7, 1, 0, 0, 0, 7, 15, 16, 7, 0, 0, 30, 129, 296, 512, 738, 919, 1011, 992, 874, 701, 528, 406, 365, 405, 497, 600, 670, 680, 622, 507, 364, 222, 107, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 33, 2, 5, 25, 48, 62, 62, 50, 34, 21, 18, 26, 41, 57, 68, 68, 58, 42, 27, 18, 17, 23, 31, 36, 34, 24, 11, 0, 0, 1, 9, 14, 8, 0, 0, 20, 105, 256, 461, 683, 872, 979, 976, 865, 677, 459, 260, 112, 27, 0, 0, 6, 13, 13, 7, 0, 0, 0, 0, 5, 13, 19, 18, 8, 0, 0, 27, 109, 245, 423, 611, 768, 854, 846, 746, 581, 392, 219, 91, 19, 0, 0, 6, 12, 10, 5, 1, 0, 1, 2, 1, 0, 0, 1, 6, 10, 8, 0, 0, 6, 54, 154, 305, 485, 658, 777, 808, 735, 576, 372, 182, 60, 43, 137, 318, 535, 730, 851, 868, 782, 618, 425, 252, 143, 120, 181, 302, 443, 560, 619, 599, 506, 364, 218, 114, 90, 160, 311, 502, 677, 784, 789, 693, 526, 340, 196, 139, 187, 328, 522, 715, 854, 904, 853, 717, 531, 338, 174, 62, 5, 0, 6, 25, 39, 40, 32, 20, 11, 9, 15, 29, 44, 56, 59, 53, 40, 24, 11, 3, 0, 0, 0, 0, 0, 1, 7, 12, 10, 1, 0, 0, 35, 119, 247, 400, 544, 643, 674, 630, 527, 391, 255, 141, 62, 18, 0, 0, 4, 11, 16, 20, 20, 17, 12, 6, 2, 1, 2, 3, 4, 3, 0, 0, 0, 7, 16, 25, 31, 29, 22, 12, 3, 0, 1, 6, 11, 14, 13, 8, 3, 0, 0, 0, 1, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 3, 2, 1, 0, 0, 0, 2, 5, 7, 8, 8, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 7, 10, 12, 13, 12, 9, 6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 8, 12, 14, 14, 10, 6, 2, 0, 0, 0, 0, 0, 0, 5, 14, 27, 39, 46, 43, 31, 14, 1, 0, 5, 16, 20, 10, 0, 0, 33, 158, 373, 654, 947, 1177, 1282, 1230, 1038, 759, 466, 223, 66, 0, 0, 4, 21, 23, 13, 0, 0, 0, 7, 22, 34, 41, 40, 33, 22, 12, 4, 0, 0, 0, 1, 1, 0, 0, 0, 3, 8, 12, 15, 15, 12, 7, 3, 0, 0, 0, 0, 0, 0, 0, 2, 3, 4, 3, 0, 0, 0, 0, 6, 13, 14, 5, 0, 0, 24, 106, 244, 417, 589, 715, 757, 704, 571, 397, 227, 96, 20, 0, 0, 4, 9, 9, 7, 9, 16, 24, 28, 24, 14, 3, 0, 3, 10, 13, 7, 0, 0, 25, 108, 246, 421, 596, 723, 762, 697, 544, 345, 160, 44, 35, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 137, 324, 543, 735, 849, 858, 766, 602, 412, 238, 108, 31, 0, 0, 0, 7, 13, 14, 9, 0, 0, 0, 31, 117, 254, 425, 595, 725, 780, 749, 641, 487, 322, 180, 78, 21, 0, 0, 3, 8, 8, 7, 7, 9, 14, 18, 19, 17, 12, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 8, 11, 12, 11, 8, 5, 3, 4, 10, 19, 30, 41, 51, 57, 60, 58, 52, 42, 30, 18, 8, 2, 0, 0, 0, 0, 0, 0, 0, 2, 5, 7, 9, 8, 7, 5, 2, 0, 0, 0, 0, 4, 9, 14, 17, 17, 13, 7, 1, 0, 0, 6, 14, 20, 21, 17, 12, 9, 12, 20, 30, 36, 35, 26, 15, 10, 12, 19, 21, 11, 0, 0, 26, 146, 359, 644, 945, 1187, 1303, 1258, 1066, 781, 478, 226, 62, 0, 0, 9, 29, 29, 10, 0, 0, 40, 138, 281, 446, 597, 696, 716, 652, 520, 355, 197, 77, 7, 0, 0, 13, 29, 29, 14, 0, 0, 15, 100, 246, 436, 631, 780, 839, 787, 637, 430, 224, 77, 24, 71, 194, 349, 486, 565, 565, 489, 362, 221, 106, 53, 80, 190, 365, 571, 765, 902, 949, 894, 751, 553, 346, 171, 54, 0, 0, 7, 25, 32, 26, 15, 6, 4, 10, 19, 28, 32, 30, 24, 15, 9, 5, 5, 6, 9, 9, 9, 6, 3, 1, 0, 0, 0, 0, 0, 1, 3, 8, 13, 19, 21, 20, 13, 4, 0, 0, 0, 11, 23, 23, 8, 0, 0, 54, 212, 470, 799, 1131, 1385, 1491, 1420, 1192, 870, 535, 259, 80, 0, 0, 1, 18, 22, 18, 16, 24, 42, 63, 76, 77, 65, 44, 23, 7, 0, 0, 0, 9, 20, 30, 36, 37, 32, 23, 13, 5, 0, 0, 0, 0, 0, 0, 3, 9, 17, 24, 28, 26, 20, 12, 5, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 9, 13, 14, 13, 9, 5, 1, 0, 1, 2, 3, 1, 0, 0, 0, 6, 16, 22, 18, 3, 0, 0, 45, 154, 319, 513, 692, 805, 821, 734, 570, 375, 198, 71, 5, 0, 0, 12, 18, 14, 5, 0, 0, 4, 12, 17, 18, 14, 9, 3, 0, 0, 0, 3, 5, 6, 5, 4, 2, 0, 0, 0, 0, 2, 5, 8, 10, 12, 11, 9, 5, 0, 0, 0, 0, 8, 18, 19, 8, 0, 0, 25, 125, 294, 510, 725, 881, 932, 864, 697, 479, 269, 109, 19, 0, 0, 9, 16, 13, 4, 0, 0, 8, 17, 23, 22, 15, 7, 1, 0, 0, 1, 5, 7, 8, 7, 6, 4, 3, 3, 4, 4, 3, 2, 1, 1, 2, 3, 3, 1, 0, 0, 0, 2, 9, 14, 11, 1, 0, 0, 45, 137, 271, 424, 558, 632, 623, 529, 376, 212, 87, 44, 96, 232, 411, 582, 697, 725, 663, 533, 371, 216, 98, 28, 0, 0, 2, 6, 5, 2, 2, 7, 17, 30, 43, 52, 57, 55, 46, 32, 17, 6, 4, 10, 18, 18, 6, 0, 0, 37, 157, 352, 594, 830, 996, 1045, 961, 771, 530, 301, 128, 28, 0, 0, 0, 5, 10, 16, 20, 17, 2, 0, 0, 56, 214, 464, 768, 1057, 1250, 1291, 1168, 919, 615, 332, 124, 11, 0, 0, 21, 38, 34, 13, 0, 0, 16, 109, 262, 454, 645, 786, 834, 776, 627, 431, 240, 95, 12, 0, 0, 13, 27, 32, 31, 30, 32, 34, 33, 29, 21, 11, 4, 0, 0, 0, 1, 4, 7, 10, 13, 14, 14, 14, 13, 12, 12, 10, 9, 7, 4, 2, 0, 0, 0, 0, 3, 6, 10, 12, 12, 9, 4, 1, 0, 2, 6, 8, 8, 4, 0, 0, 1, 6, 10, 7, 0, 0, 4, 54, 152, 291, 444, 573, 640, 623, 528, 382, 226, 99, 20, 0, 0, 7, 17, 18, 10, 2, 0, 0, 0, 2, 2, 1, 1, 3, 7, 12, 14, 13, 8, 2, 0, 3, 12, 23, 30, 29, 20, 8, 0, 0, 4, 13, 14, 5, 0, 0, 31, 125, 275, 455, 623, 732, 751, 673, 524, 345, 181, 63, 1, 0, 0, 15, 26, 24, 10, 0, 0, 8, 73, 183, 323, 463, 566, 603, 563, 459, 321, 185, 79, 16, 0, 0, 6, 17, 23, 24, 23, 21, 17, 13, 9, 4, 1, 0, 0, 1, 1, 0, 0, 0, 0, 3, 6, 9, 11, 11, 10, 7, 5, 2, 0, 0, 0, 2, 7, 13, 19, 22, 22, 18, 12, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 8, 14, 18, 20, 19, 14, 8, 3, 0, 0, 0, 0, 0, 0, 2, 5, 9, 11, 10, 4, 0, 0, 0, 8, 17, 17, 5, 0, 0, 39, 153, 337, 564, 784, 940, 986, 910, 735, 511, 294, 129, 30, 0, 0, 0, 9, 14, 14, 10, 1, 0, 0, 18, 101, 254, 471, 718, 939, 1078, 1093, 979, 767, 512, 275, 101, 7, 0, 0, 20, 31, 24, 4, 0, 0, 37, 122, 241, 372, 486, 553, 555, 493, 383, 254, 138, 53, 7, 0, 0, 9, 15, 14, 10, 6, 4, 7, 12, 18, 24, 29, 32, 33, 32, 29, 23, 16, 9, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 6, 3, 0, 0, 0, 3, 14, 21, 16, 0, 0, 0, 62, 196, 389, 602, 780, 869, 843, 709, 510, 301, 132, 29, 0, 0, 10, 23, 23, 15, 6, 4, 10, 19, 25, 24, 17, 8, 1, 1, 6, 9, 7, 0, 0, 11, 69, 176, 324, 485, 616, 679, 650, 533, 357, 174, 37, 0, 44, 191, 391, 588, 729, 777, 721, 583, 404, 229, 96, 18, 0, 0, 10, 20, 20, 13, 4, 0, 0, 0, 1, 5, 9, 12, 14, 13, 11, 7, 3, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 1, 3, 3, 2, 1, 0, 0, 2, 6, 9, 11, 10, 7, 4, 1, 0, 0, 0, 0, 0, 0, 2, 5, 8, 10, 10, 7, 4, 1, 0, 0, 1, 1, 0, 0, 0, 3, 12, 23, 34, 42, 43, 37, 27, 15, 5, 0, 0, 0, 5, 10, 14, 15, 13, 9, 5, 2, 1, 2, 4, 6, 6, 5, 3, 1, 0, 0, 0, 4, 9, 16, 23, 29, 31, 30, 26, 19, 11, 4, 0, 0, 0, 2, 5, 7, 7, 6, 3, 0, 0, 0, 3, 7, 10, 12, 10, 8, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 3, 8, 14, 18, 18, 14, 8, 2, 0, 1, 4, 8, 10, 9, 7, 3, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 9, 19, 27, 30, 24, 14, 4, 1, 7, 16, 20, 11, 0, 0, 23, 133, 330, 592, 867, 1086, 1188, 1142, 963, 702, 427, 199, 53, 0, 0, 8, 30, 35, 20, 0, 0, 2, 71, 196, 366, 547, 696, 773, 754, 645, 477, 295, 141, 40, 0, 0, 2, 16, 21, 18, 11, 6, 5, 5, 6, 5, 4, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 7, 9, 9, 8, 4, 1, 0, 0, 2, 6, 10, 14, 16, 17, 17, 16, 14, 11, 8, 5, 2, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 2, 0, 0, 0, 0, 5, 11, 12, 5, 0, 0, 25, 98, 220, 376, 535, 655, 701, 656, 529, 358, 194, 88, 73, 153, 301, 468, 596, 642, 586, 444, 260, 93, 0, 9, 129, 327, 549, 737, 842, 843, 747, 584, 397, 228, 102, 28, 0, 0, 8, 19, 27, 32, 36, 41, 46, 50, 51, 50, 47, 42, 38, 34, 32, 30, 27, 23, 17, 11, 5, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 7, 12, 18, 22, 24, 23, 20, 15, 10, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 2, 0, 0, 0, 0, 7, 16, 23, 21, 10, 0, 0, 18, 87, 201, 341, 474, 565, 586, 532, 420, 282, 153, 58, 6, 0, 0, 12, 24, 32, 35, 35, 34, 31, 26, 20, 14, 10, 9, 10, 12, 15, 18, 21, 25, 28, 29, 26, 20, 13, 6, 1, 0, 0, 0, 0, 0, 1, 2, 4, 4, 3, 0, 0, 0, 1, 8, 13, 12, 1, 0, 0, 34, 120, 248, 395, 522, 594, 588, 506, 374, 231, 110, 32, 0, 0, 0, 8, 13, 16, 19, 24, 28, 29, 25, 17, 8, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 5, 11, 13, 8, 0, 0, 5, 55, 149, 278, 417, 531, 588, 571, 484, 353, 214, 99, 27, 0, 0, 9, 19, 21, 19, 20, 25, 30, 26, 10, 0, 0, 47, 188, 419, 707, 992, 1199, 1269, 1181, 963, 675, 391, 170, 38, 0, 0, 18, 38, 46, 45, 40, 31, 17, 0, 0, 0, 64, 197, 389, 606, 796, 906, 905, 793, 605, 393, 206, 77, 10, 0, 0, 7, 12, 13, 16, 26, 42, 57, 64, 59, 42, 19, 0, 0, 0, 11, 25, 27, 12, 0, 0, 44, 182, 411, 701, 995, 1216, 1302, 1224, 998, 684, 364, 122, 17, 65, 241, 482, 712, 865, 901, 816, 644, 435, 242, 100, 21, 0, 0, 10, 14, 10, 1, 0, 0, 6, 18, 27, 31, 28, 23, 16, 12, 10, 10, 11, 10, 7, 4, 1, 0, 0, 2, 3, 4, 3, 2, 0, 0, 0, 0, 1, 4, 5, 5, 3, 1, 0, 3, 8, 13, 12, 4, 0, 0, 27, 106, 235, 400, 569, 700, 759, 730, 621, 462, 293, 149, 51, 3, 0, 1, 12, 16, 13, 6, 0, 0, 0, 2, 2, 0, 0, 0, 4, 10, 13, 8, 0, 0, 6, 57, 153, 284, 425, 541, 600, 586, 502, 373, 233, 115, 39, 7, 7, 21, 34, 37, 32, 26, 22, 18, 11, 0, 0, 3, 65, 192, 380, 597, 793, 913, 919, 805, 601, 363, 156, 35, 31, 141, 333, 555, 748, 863, 874, 783, 616, 418, 233, 95, 17, 0, 0, 19, 34, 37, 30, 18, 7, 0, 0, 0, 2, 3, 3, 2, 0, 0, 0, 0, 2, 4, 5, 4, 1, 0, 0, 3, 9, 12, 7, 0, 0, 7, 60, 159, 296, 447, 573, 641, 629, 542, 405, 255, 126, 40, 0, 0, 0, 8, 14, 14, 8, 0, 0, 0, 17, 73, 167, 293, 428, 541, 602, 593, 516, 391, 251, 127, 41, 0, 0, 3, 17, 23, 21, 13, 4, 0, 0, 0, 1, 1, 1, 0, 1, 5, 10, 15, 18, 17, 13, 7, 2, 0, 0, 1, 4, 8, 11, 11, 10, 6, 1, 0, 0, 3, 13, 24, 32, 33, 27, 19, 13, 14, 21, 26, 20, 2, 0, 0, 71, 232, 474, 756, 1012, 1172, 1190, 1060, 822, 541, 286, 104, 8, 0, 0, 20, 32, 30, 22, 18, 21, 29, 38, 41, 36, 26, 15, 5, 0, 0, 0, 0, 1, 5, 9, 12, 13, 11, 7, 5, 6, 9, 10, 7, 0, 0, 3, 50, 143, 275, 423, 552, 627, 627, 552, 424, 277, 146, 53, 5, 0, 0, 11, 18, 17, 12, 5, 1, 1, 3, 8, 12, 16, 18, 17, 13, 9, 4, 3, 5, 10, 17, 22, 24, 21, 14, 6, 0, 0, 1, 7, 15, 20, 21, 19, 14, 8, 4, 1, 0, 0, 0, 0, 1, 6, 14, 23, 29, 30, 24, 13, 3, 0, 0, 11, 27, 42, 51, 50, 40, 25, 10, 0, 0, 2, 12, 23, 32, 35, 32, 24, 15, 6, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 3, 6, 7, 8, 10, 12, 15, 16, 13, 5, 0, 0, 20, 77, 173, 294, 417, 511, 546, 510, 408, 268, 134, 47, 38, 114, 256, 425, 573, 658, 658, 578, 444, 293, 160, 66, 15, 0, 0, 0, 4, 9, 17, 23, 20, 6, 0, 0, 41, 163, 362, 610, 856, 1039, 1112, 1058, 896, 671, 436, 238, 101, 25, 0, 0, 11, 26, 39, 48, 54, 55, 51, 44, 37, 33, 32, 33, 33, 29, 21, 10, 1, 0, 3, 16, 33, 49, 58, 57, 47, 33, 20, 11, 10, 15, 21, 25, 27, 28, 31, 36, 43, 50, 53, 49, 38, 23, 10, 1, 0, 0, 4, 8, 10, 8, 5, 1, 0, 0, 2, 7, 13, 18, 22, 24, 24, 24, 22, 21, 19, 16, 12, 9, 5, 3, 1, 0, 0, 0, 1, 5, 10, 15, 18, 19, 15, 9, 3, 0, 0, 2, 8, 15, 20, 20, 17, 10, 3, 0, 0, 3, 8, 11, 11, 8, 3, 0, 0, 4, 11, 17, 21, 19, 15, 8, 3, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 3, 4, 4, 2, 1, 0, 0, 2, 7, 15, 25, 37, 48, 57, 59, 56, 46, 34, 22, 15, 14, 15, 18, 19, 17, 12, 6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 4, 4, 3, 1, 1, 1, 2, 3, 3, 1, 0, 0, 0, 3, 11, 15, 10, 0, 0, 1, 54, 159, 305, 464, 595, 661, 642, 545, 399, 244, 116, 33, 0, 0, 2, 10, 11, 7, 1, 0, 0, 4, 7, 7, 4, 0, 0, 0, 4, 12, 15, 8, 0, 0, 8, 71, 182, 329, 480, 595, 642, 608, 504, 361, 216, 100, 27, 0, 0, 3, 10, 12, 9, 5, 2, 1, 2, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 6, 3, 0, 0, 0, 1, 7, 11, 8, 0, 0, 5, 58, 160, 311, 485, 647, 754, 778, 711, 572, 397, 228, 98, 21, 0, 0, 8, 19, 22, 17, 10, 4, 1, 1, 1, 1, 2, 4, 6, 7, 8, 6, 4, 1, 0, 0, 3, 7, 11, 14, 13, 10, 6, 2, 0, 0, 0, 1, 3, 5, 7, 7, 6, 5, 3, 1, 0, 0, 0, 1, 3, 4, 5, 3, 0, 0, 0, 0, 7, 13, 13, 4, 0, 0, 38, 141, 310, 529, 759, 950, 1053, 1043, 922, 720, 487, 272, 113, 21, 0, 0, 13, 22, 17, 2, 0, 0, 41, 120, 230, 353, 465, 541, 564, 529, 447, 341, 242, 177, 170, 228, 344, 495, 646, 760, 806, 770, 657, 494, 319, 166, 59, 4, 0, 0, 11, 16, 13, 4, 0, 0, 0, 10, 19, 25, 24, 17, 7, 0, 0, 3, 11, 14, 8, 0, 0, 14, 89, 221, 397, 580, 726, 793, 762, 643, 471, 290, 140, 43, 0, 0, 1, 10, 12, 6, 0, 0, 0, 0, 3, 3, 2, 1, 2, 7, 13, 18, 20, 19, 14, 8, 3, 0, 0, 0, 0, 0, 1, 5, 7, 5, 0, 0, 2, 35, 103, 204, 324, 436, 514, 537, 498, 408, 292, 176, 83, 25, 0, 0, 1, 6, 7, 4, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 4, 1, 0, 0, 0, 2, 9, 14, 10, 0, 0, 0, 50, 151, 298, 465, 611, 696, 695, 609, 463, 298, 153, 53, 2, 0, 0, 6, 12, 12, 7, 1, 0, 0, 2, 32, 89, 172, 268, 353, 400, 393, 327, 222, 112, 36, 28, 103, 252, 443, 630, 765, 813, 762, 623, 434, 244, 101, 44, 85, 211, 390, 572, 710, 771, 742, 634, 478, 312, 168, 68, 14, 0, 0, 6, 10, 7, 1, 0, 0, 1, 9, 18, 25, 27, 24, 18, 11, 4, 0, 0, 0, 0, 1, 2, 4, 6, 7, 7, 5, 2, 0, 0, 0, 2, 5, 6, 6, 3, 0, 0, 0, 1, 7, 10, 7, 0, 0, 2, 42, 124, 245, 386, 517, 605, 626, 575, 465, 326, 190, 85, 21, 0, 0, 4, 11, 12, 8, 4, 1, 1, 2, 3, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 2, 0, 0, 0, 1, 3, 3, 0, 0, 2, 22, 67, 139, 232, 332, 418, 470, 473, 426, 340, 236, 136, 60, 14, 0, 0, 2, 5, 4, 1, 0, 1, 5, 10, 14, 13, 9, 4, 0, 0, 0, 2, 5, 5, 2, 0, 0, 13, 49, 108, 185, 268, 338, 380, 383, 346, 279, 199, 121, 61, 21, 2, 0, 0, 0, 6, 16, 23, 22, 9, 0, 0, 28, 142, 336, 591, 860, 1081, 1199, 1186, 1048, 823, 568, 334, 157, 50, 2, 0, 4, 15, 22, 22, 19, 15, 11, 8, 5, 3, 3, 3, 4, 4, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 2, 4, 6, 8, 7, 5, 2, 0, 0, 1, 5, 8, 10, 10, 8, 5, 2, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 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, 1, 1, 0, 0, 0, 0, 2, 7, 12, 17, 18, 16, 12, 6, 2, 0, 0, 0, 0, 1, 2, 3, 6, 9, 12, 13, 14, 12, 10, 6, 3, 0, 0, 0, 4, 9, 15, 19, 20, 16, 11, 4, 0, 0, 0, 2, 5, 7, 8, 7, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 3, 7, 11, 14, 14, 12, 9, 6, 4, 2, 1, 0, 0, 0, 2, 10, 19, 22, 14, 0, 0, 5, 70, 197, 376, 577, 755, 863, 873, 787, 631, 455, 309, 232, 242, 329, 463, 604, 708, 745, 702, 590, 441, 298, 206, 195, 275, 425, 604, 759, 846, 840, 743, 586, 416, 280, 217, 241, 342, 491, 648, 772, 832, 815, 726, 584, 419, 261, 135, 51, 9, 0, 0, 4, 3, 0, 1, 25, 79, 167, 283, 411, 529, 611, 640, 607, 517, 391, 261, 161, 119, 147, 238, 365, 493, 587, 621, 589, 500, 378, 251, 142, 64, 19, 0, 0, 2, 6, 7, 7, 6, 6, 6, 6, 5, 4, 1, 0, 0, 1, 6, 14, 21, 26, 26, 22, 15, 6, 0, 0, 0, 3, 9, 12, 8, 0, 0, 4, 46, 128, 250, 397, 541, 651, 700, 677, 588, 455, 308, 175, 77, 19, 0, 0, 3, 11, 12, 6, 0, 0, 5, 44, 116, 217, 334, 444, 522, 549, 518, 435, 324, 215, 140, 121, 168, 270, 400, 522, 600, 610, 548, 430, 291, 173, 111, 126, 216, 357, 513, 644, 717, 716, 646, 525, 382, 245, 135, 62, 24, 13, 16, 25, 31, 33, 27, 15, 1, 0, 0, 42, 131, 268, 440, 620, 772, 864, 875, 802, 665, 494, 323, 179, 78, 20, 0, 0, 5, 10, 8, 0, 0, 0, 29, 95, 195, 320, 447, 548, 598, 584, 510, 393, 263, 145, 58, 10, 0, 3, 19, 34, 42, 43, 38, 30, 21, 12, 5, 1, 1, 3, 6, 9, 10, 7, 4, 0, 0, 0, 5, 11, 17, 19, 17, 12, 6, 1, 0, 0, 2, 5, 7, 7, 5, 2, 0, 0, 0, 2, 5, 9, 11, 10, 8, 5, 2, 0, 0, 0, 0, 0, 0, 0, 2, 5, 9, 11, 11, 9, 7, 5, 4, 3, 2, 0, 0, 8, 39, 98, 187, 297, 411, 503, 555, 552, 496, 405, 305, 225, 190, 209, 276, 369, 460, 521, 534, 496, 417, 316, 216, 134, 78, 46, 32, 27, 24, 19, 12, 6, 1, 0, 0, 0, 0, 3, 7, 12, 17, 19, 16, 10, 4, 0, 2, 9, 18, 25, 28, 25, 18, 12, 9, 10, 11, 7, 0, 0, 2, 44, 134, 270, 437, 606, 741, 814, 811, 737, 613, 466, 324, 205, 119, 64, 34, 22, 22, 27, 30, 28, 17, 3, 0, 9, 61, 161, 305, 474, 639, 765, 824, 803, 707, 560, 393, 237, 116, 39, 2, 0, 1, 11, 18, 20, 19, 17, 16, 17, 21, 25, 29, 31, 29, 25, 21, 17, 15, 14, 14, 12, 8, 3, 0, 0, 1, 4, 3, 0, 0, 2, 28, 82, 166, 269, 376, 464, 515, 516, 468, 381, 277, 180, 113, 90, 113, 169, 239, 299, 330, 324, 283, 221, 155, 100, 64, 47, 44, 45, 44, 38, 27, 14, 4, 0, 0, 2, 5, 7, 7, 5, 3, 1, 0, 0, 0, 0, 0, 1, 5, 9, 14, 16, 16, 13, 8, 3, 0, 0, 0, 0, 3, 6, 10, 14, 17, 19, 19, 16, 11, 5, 0, 0, 1, 7, 16, 24, 28, 28, 24, 19, 13, 7, 1, 0, 0, 13, 55, 131, 242, 380, 521, 639, 708, 711, 649, 541, 415, 307, 246, 247, 309, 412, 526, 617, 660, 642, 566, 448, 314, 189, 91, 29, 2, 0, 4, 10, 12, 8, 2, 0, 0, 7, 16, 23, 27, 26, 22, 18, 16, 17, 20, 22, 22, 18, 12, 6, 1, 0, 0, 1, 2, 2, 0, 0, 0, 3, 9, 16, 21, 22, 19, 13, 6, 1, 0, 0, 1, 3, 4, 4, 2, 0, 0, 0, 0, 4, 8, 10, 10, 8, 4, 1, 0, 1, 2, 1, 0, 0, 6, 35, 90, 173, 275, 378, 463, 511, 512, 465, 381, 278, 176, 91, 34, 5, 0, 1, 5, 3, 0, 0, 11, 53, 125, 222, 330, 431, 507, 545, 542, 500, 430, 343, 252, 168, 98, 47, 16, 1, 0, 1, 3, 2, 0, 0, 14, 53, 124, 224, 343, 460, 552, 598, 585, 516, 406, 281, 165, 78, 26, 5, 5, 12, 18, 19, 16, 12, 10, 9, 9, 8, 6, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 4, 6, 5, 2, 0, 0, 0, 5, 14, 21, 21, 11, 0, 0, 15, 78, 186, 330, 485, 620, 706, 728, 684, 586, 458, 324, 203, 109, 46, 13, 4, 10, 21, 27, 24, 11, 0, 0, 24, 96, 214, 368, 535, 689, 803, 858, 849, 781, 668, 528, 383, 249, 139, 61, 15, 0, 0, 9, 22, 31, 33, 29, 22, 14, 10, 11, 16, 23, 28, 30, 26, 18, 9, 2, 0, 0, 4, 11, 16, 17, 15, 11, 7, 5, 7, 10, 13, 14, 11, 7, 3, 1, 0, 0, 0, 0, 6, 29, 73, 145, 240, 352, 464, 559, 620, 634, 599, 521, 414, 296, 187, 99, 40, 8, 0, 0, 8, 19, 30, 45, 67, 101, 152, 218, 294, 369, 429, 461, 456, 414, 343, 257, 173, 103, 54, 27, 17, 16, 19, 21, 20, 16, 11, 6, 5, 7, 12, 17, 21, 21, 18, 12, 6, 2, 0, 0, 0, 1, 2, 2, 3, 4, 6, 8, 8, 7, 2, 0, 0, 13, 50, 117, 215, 336, 466, 583, 665, 694, 665, 584, 468, 340, 223, 133, 75, 46, 35, 34, 35, 36, 36, 37, 38, 38, 35, 29, 20, 10, 3, 0, 0, 3, 5, 5, 3, 1, 0, 1, 5, 11, 16, 18, 16, 12, 6, 2, 0, 0, 0, 2, 4, 6, 7, 5, 2, 0, 1, 14, 44, 96, 173, 268, 372, 467, 535, 560, 534, 461, 354, 237, 132, 57, 16, 6, 14, 26, 31, 27, 16, 5, 0, 0, 4, 14, 23, 30, 33, 33, 30, 24, 17, 11, 5, 1, 0, 0, 0, 1, 4, 7, 9, 10, 10, 8, 5, 2, 0, 0, 0, 0, 0, 1, 3, 4, 6, 6, 6, 4, 2, 0, 0, 0, 2, 8, 15, 20, 22, 20, 15, 8, 3, 0, 0, 0, 0, 1, 2, 3, 5, 7, 9, 9, 8, 5, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 16, 49, 104, 178, 262, 344, 410, 445, 445, 411, 350, 275, 200, 135, 87, 57, 40, 32, 29, 27, 26, 24, 22, 20, 16, 11, 7, 3, 0, 0, 0, 1, 4, 9, 13, 16, 16, 12, 7, 2, 0, 0, 2, 3, 2, 0, 0, 6, 33, 82, 153, 234, 311, 368, 393, 384, 344, 283, 216, 154, 103, 66, 42, 26, 16, 8, 3, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 4, 2, 0, 0, 0, 6, 15, 24, 32, 34, 32, 25, 16, 7, 0, 0, 0, 14, 42, 85, 142, 206, 270, 324, 360, 374, 363, 332, 287, 240, 203, 185, 192, 220, 259, 293, 311, 305, 276, 235, 196, 177, 188, 235, 313, 412, 515, 605, 663, 675, 635, 547, 426, 292, 169, 75, 18, 0, 0, 11, 25, 33, 35, 31, 23, 16, 9, 4, 3, 4, 7, 9, 9, 4, 0, 0, 10, 44, 105, 189, 289, 389, 474, 530, 547, 522, 461, 373, 273, 175, 93, 35, 4, 0, 2, 14, 23, 24, 21, 21, 34, 67, 123, 195, 270, 331, 364, 363, 332, 283, 228, 180, 143, 115, 92, 70, 47, 26, 9, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 1, 0, 0, 0, 1, 4, 4, 1, 0, 0, 14, 57, 132, 233, 349, 461, 552, 607, 617, 585, 515, 419, 312, 207, 118, 53, 15, 0, 0, 6, 11, 11, 7, 2, 0, 1, 5, 10, 12, 12, 8, 4, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 3, 5, 4, 0, 0, 0, 18, 59, 121, 198, 275, 338, 377, 386, 368, 331, 286, 243, 211, 196, 202, 228, 269, 315, 352, 368, 359, 327, 287, 255, 250, 279, 341, 424, 506, 570, 600, 594, 554, 489, 410, 327, 246, 170, 104, 52, 17, 0, 0, 11, 26, 41, 56, 77, 112, 166, 239, 319, 389, 429, 429, 390, 325, 257, 209, 196, 223, 282, 361, 441, 507, 548, 556, 529, 471, 389, 295, 202, 121, 60, 22, 3, 0, 0, 1, 3, 5, 7, 9, 10, 10, 8, 5, 2, 0, 0, 0, 1, 1, 0, 0, 1, 4, 8, 12, 16, 18, 18, 17, 13, 7, 0, 0, 2, 34, 100, 202, 333, 475, 607, 704, 752, 746, 691, 600, 490, 376, 272, 185, 117, 69, 38, 18, 5, 0, 0, 5, 29, 75, 143, 229, 323, 409, 474, 505, 499, 459, 394, 315, 236, 166, 110, 69, 41, 23, 11, 3, 0, 0, 1, 5, 10, 13, 14, 12, 9, 6, 4, 3, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 3, 4, 2, 0, 0, 4, 27, 71, 136, 214, 290, 348, 373, 360, 312, 242, 166, 100, 54, 29, 21, 21, 22, 19, 13, 6, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 3, 5, 6, 5, 4, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 8, 27, 63, 117, 187, 265, 341, 399, 430, 428, 396, 346, 295, 262, 260, 293, 355, 432, 502, 548, 560, 534, 477, 402, 320, 243, 176, 121, 79, 47, 24, 9, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 3, 6, 6, 2, 0, 0, 13, 52, 115, 196, 280, 349, 389, 394, 367, 321, 269, 226, 202, 200, 219, 255, 301, 350, 390, 411, 406, 370, 308, 230, 149, 80, 33, 9, 5, 12, 20, 23, 20, 12, 4, 0, 0, 1, 5, 8, 9, 8, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 8, 36, 87, 162, 255, 354, 442, 505, 533, 523, 481, 415, 338, 260, 187, 125, 75, 38, 14, 1, 0, 3, 9, 15, 16, 14, 8, 3, 0, 0, 0, 1, 0, 0, 1, 14, 42, 91, 159, 239, 322, 392, 438, 453, 434, 387, 319, 242, 167, 102, 52, 19, 3, 0, 3, 8, 10, 10, 11, 23, 57, 123, 225, 359, 513, 669, 805, 901, 944, 928, 860, 750, 615, 473, 340, 227, 141, 84, 55, 51, 65, 88, 115, 137, 153, 168, 187, 219, 266, 323, 379, 419, 432, 416, 378, 337, 311, 313, 345, 398, 456, 502, 525, 520, 491, 444, 386, 320, 251, 183, 120, 70, 38, 23, 23, 29, 34, 33, 25, 14, 5, 0, 0, 4, 8, 9, 8, 5, 2, 0, 0, 0, 2, 5, 9, 13, 15, 16, 13, 8, 1, 0, 0, 15, 49, 101, 169, 245, 320, 384, 428, 445, 433, 392, 327, 249, 168, 96, 43, 10, 0, 0, 3, 9, 14, 19, 31, 59, 107, 178, 265, 355, 433, 482, 495, 472, 419, 351, 281, 217, 163, 118, 81, 49, 24, 6, 0, 1, 12, 31, 56, 89, 132, 188, 255, 327, 390, 430, 436, 405, 342, 264, 188, 127, 88, 69, 61, 55, 45, 30, 14, 2, 0, 1, 7, 12, 14, 11, 5, 1, 0, 2, 7, 15, 26, 43, 69, 108, 161, 225, 292, 352, 395, 414, 406, 373, 323, 263, 201, 145, 98, 61, 35, 18, 10, 8, 11, 14, 16, 16, 14, 10, 5, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 3, 7, 10, 12, 12, 9, 5, 2, 0, 0, 0, 0, 2, 3, 5, 5, 5, 3, 1, 0, 0, 0, 2, 3, 2, 0, 0, 0, 17, 53, 110, 186, 277, 376, 475, 566, 641, 689, 703, 678, 617, 527, 422, 317, 223, 146, 89, 49, 22, 7, 0, 1, 5, 10, 14, 14, 10, 5, 1, 0, 0, 1, 3, 7, 15, 34, 69, 123, 194, 274, 351, 411, 446, 450, 426, 378, 318, 254, 193, 139, 94, 59, 34, 16, 5, 0, 0, 0, 5, 13, 22, 28, 29, 25, 17, 9, 2, 0, 0, 2, 3, 2, 0, 0, 0, 4, 10, 16, 19, 16, 11, 7, 11, 32, 75, 140, 223, 314, 399, 465, 500, 498, 461, 395, 312, 227, 149, 88, 47, 23, 12, 9, 9, 9, 7, 4, 1, 0, 0, 1, 3, 4, 4, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 4, 8, 12, 14, 13, 9, 5, 2, 1, 2, 5, 7, 9, 9, 6, 2, 0, 0, 5, 27, 64, 116, 177, 239, 294, 335, 360, 368, 362, 349, 335, 327, 333, 355, 395, 444, 493, 528, 540, 526, 491, 448, 412, 396, 404, 435, 479, 524, 558, 574, 569, 543, 500, 446, 384, 318, 252, 190, 134, 87, 51, 27, 15, 14, 22, 34, 48, 60, 65, 63, 53, 39, 23, 10, 4, 7, 15, 25, 32, 34, 29, 20, 10, 4, 4, 10, 19, 29, 38, 46, 56, 73, 101, 144, 203, 276, 356, 431, 490, 522, 524, 501, 462, 423, 395, 385, 394, 417, 445, 472, 493, 503, 500, 480, 443, 388, 321, 248, 179, 120, 75, 45, 27, 18, 14, 15, 19, 26, 33, 39, 43, 43, 40, 34, 26, 19, 16, 21, 37, 65, 105, 157, 220, 289, 362, 433, 494, 537, 553, 538, 492, 422, 339, 258, 188, 136, 101, 79, 64, 50, 38, 26, 17, 13, 13, 16, 20, 20, 16, 10, 2, 0, 0, 11, 34, 70, 118, 177, 245, 316, 384, 441, 477, 487, 468, 424, 362, 294, 229, 175, 136, 110, 94, 82, 71, 57, 41, 28, 24, 35, 66, 114, 172, 227, 266, 282, 274, 245, 207, 169, 137, 114, 95, 77, 59, 39, 21, 7, 0, 0, 0, 2, 5, 8, 11, 14, 17, 18, 16, 13, 7, 2, 0, 0, 3, 8, 12, 13, 11, 7, 2, 0, 1, 4, 9, 13, 14, 12, 8, 3, 0, 0, 0, 5, 12, 17, 20, 18, 13, 7, 1, 0, 0, 5, 11, 15, 15, 12, 7, 2, 0, 1, 2, 2, 0, 0, 0, 3, 12, 24, 32, 33, 27, 18, 16, 29, 62, 112, 170, 225, 267, 293, 304, 303, 295, 281, 260, 231, 193, 151, 111, 80, 61, 55, 57, 63, 69, 77, 91, 122, 176, 259, 367, 491, 614, 719, 791, 820, 806, 756, 681, 593, 501, 412, 330, 255, 188, 132, 88, 57, 38, 29, 29, 33, 41, 49, 56, 61, 61, 55, 46, 34, 22, 12, 5, 0, 0, 0, 1, 6, 12, 18, 23, 23, 19, 13, 7, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 5, 6, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 4, 3, 2, 1, 0, 0, 0, 1, 1, 3, 9, 19, 35, 57, 84, 112, 141, 171, 201, 234, 269, 304, 335, 359, 372, 372, 364, 352, 343, 343, 352, 369, 389, 405, 410, 401, 378, 343, 303, 263, 225, 191, 160, 129, 98, 67, 40, 21, 12, 15, 25, 37, 44, 43, 36, 24, 12, 5, 3, 6, 11, 15, 16, 14, 9, 3, 0, 0, 1, 11, 25, 40, 50, 53, 48, 38, 26, 19, 17, 19, 22, 23, 19, 12, 4, 0, 0, 4, 13, 22, 28, 28, 23, 16, 9, 3, 1, 1, 2, 3, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 3, 8, 15, 23, 29, 32, 32, 28, 21, 13, 7, 2, 0, 0, 0, 1, 2, 2, 2, 2, 4, 6, 8, 11, 12, 13, 13, 12, 10, 8, 5, 2, 0, 0, 1, 10, 23, 37, 46, 47, 41, 28, 14, 4, 0, 0, 3, 7, 9, 9, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 7, 8, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 10, 24, 42, 62, 84, 112, 150, 201, 264, 332, 393, 433, 443, 420, 369, 302, 234, 176, 131, 99, 75, 55, 39, 30, 33, 53, 88, 132, 178, 217, 246, 265, 278, 291, 303, 310, 306, 283, 242, 186, 128, 80, 50, 40, 44, 53, 57, 51, 37, 19, 4, 0, 0, 6, 15, 21, 22, 17, 10, 4, 0, 0, 0, 2, 3, 3, 4, 5, 9, 16, 23, 29, 33, 37, 42, 54, 77, 111, 155, 203, 248, 284, 308, 319, 318, 307, 287, 259, 223, 183, 141, 102, 71, 49, 35, 27, 21, 16, 11, 5, 1, 0, 0, 0, 2, 6, 10, 14, 17, 17, 15, 11, 5, 1, 0, 0, 3, 10, 16, 21, 23, 21, 15, 9, 3, 0, 0, 0, 3, 6, 8, 8, 7, 4, 1, 0, 0, 0, 2, 4, 6, 6, 5, 6, 7, 11, 14, 16, 16, 13, 9, 4, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 4, 6, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 8, 8, 7, 4, 2, 0, 0, 0, 3, 4, 5, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 7, 17, 31, 47, 66, 86, 108, 133, 160, 187, 209, 222, 223, 211, 189, 163, 137, 116, 99, 86, 72, 57, 40, 24, 10, 2, 0, 0, 1, 3, 5, 7, 8, 10, 12, 15, 21, 28, 40, 55, 75, 98, 124, 151, 177, 201, 220, 236, 246, 252, 255, 256, 257, 258, 261, 265, 271, 279, 289, 299, 306, 305, 294, 272, 240, 201, 162, 125, 95, 71, 56, 47, 45, 51, 65, 89, 120, 157, 197, 237, 277, 318, 359, 401, 439, 469, 486, 487, 474, 453, 430, 415, 411, 415, 423, 428, 424, 411, 392, 368, 343, 315, 283, 245, 201, 155, 114, 85, 70, 70, 81, 99, 122, 150, 183, 222, 265, 306, 338, 355, 356, 342, 318, 288, 257, 226, 195, 164, 136, 113, 99, 92, 90, 86, 76, 59, 38, 17, 3, 0, 0, 7, 12, 13, 10, 6, 8, 19, 42, 75, 117, 161, 202, 236, 259, 270, 268, 252, 227, 195, 161, 130, 104, 85, 70, 58, 45, 33, 20, 10, 3, 0, 0, 0, 0, 0, 2, 5, 9, 14, 16, 16, 13, 9, 4, 1, 0, 0, 0, 0, 0, 1, 4, 7, 10, 11, 10, 7, 4, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 4, 6, 7, 5, 3, 1, 0, 0, 0, 2, 4, 5, 4, 2, 0, 0, 0, 1, 4, 6, 8, 7, 6, 4, 4, 3, 3, 2, 0, 0, 0, 4, 15, 31, 50, 69, 87, 105, 125, 149, 177, 208, 238, 261, 275, 278, 272, 260, 246, 230, 214, 195, 170, 140, 105, 70, 40, 19, 8, 8, 14, 22, 28, 28, 23, 13, 5, 0, 2, 10, 21, 32, 37, 35, 27, 15, 4, 0, 0, 9, 21, 32, 39, 37, 29, 16, 5, 0, 0, 8, 21, 33, 41, 41, 33, 20, 9, 2, 2, 7, 14, 19, 20, 17, 12, 10, 11, 14, 19, 22, 22, 21, 20, 21, 22, 23, 23, 21, 21, 26, 38, 58, 84, 113, 146, 185, 234, 296, 369, 449, 524, 581, 614, 619, 603, 577, 551, 532, 523, 518, 512, 500, 479, 453, 426, 401, 378, 357, 332, 302, 266, 229, 194, 165, 144, 128, 112, 95, 75, 54, 35, 21, 14, 12, 14, 18, 22, 27, 31, 34, 35, 33, 28, 23, 20, 20, 24, 31, 36, 36, 31, 22, 12, 6, 5, 8, 14, 18, 17, 12, 6, 0, 0, 4, 13, 22, 30, 33, 32, 28, 24, 21, 21, 24, 30, 38, 49, 61, 72, 84, 98, 116, 140, 174, 215, 261, 304, 339, 361, 368, 364, 355, 347, 344, 349, 359, 369, 373, 369, 354, 330, 301, 270, 238, 206, 175, 144, 116, 94, 80, 74, 74, 76, 75, 68, 57, 44, 34, 30, 30, 31, 30, 23, 14, 5, 1, 4, 13, 25, 34, 38, 36, 29, 23, 17, 15, 13, 12, 9, 6, 5, 6, 10, 17, 24, 28, 28, 23, 16, 8, 2, 0, 0, 3, 8, 13, 15, 16, 17, 21, 32, 50, 74, 101, 128, 150, 167, 182, 196, 213, 232, 252, 267, 274, 270, 256, 233, 207, 179, 153, 130, 111, 95, 82, 70, 59, 48, 35, 23, 13, 5, 0, 0, 0, 2, 4, 5, 6, 5, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 5, 10, 16, 22, 31, 47, 73, 109, 152, 193, 223, 238, 235, 219, 199, 181, 168, 159, 150, 136, 116, 90, 63, 38, 21, 10, 5, 3, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 7, 14, 19, 22, 20, 16, 9, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 5, 6, 6, 4, 1, 0, 0, 0, 6, 14, 25, 36, 49, 64, 83, 108, 139, 175, 210, 240, 259, 266, 261, 249, 234, 218, 201, 183, 162, 139, 117, 98, 85, 77, 71, 62, 48, 31, 13, 1, 0, 9, 27, 48, 68, 82, 93, 103, 117, 139, 170, 208, 252, 297, 341, 381, 414, 437, 447, 443, 426, 401, 372, 344, 318, 293, 266, 233, 195, 153, 114, 83, 63, 52, 47, 45, 42, 39, 36, 35, 34, 35, 34, 33, 31, 30, 30, 31, 33, 34, 34, 33, 32, 29, 26, 22, 17, 13, 10, 12, 18, 26, 34, 39, 37, 30, 19, 9, 2, 0, 0, 3, 5, 5, 3, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 4, 6, 6, 5, 3, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 4, 8, 10, 10, 7, 3, 0, 0, 2, 6, 11, 14, 14, 11, 7, 2, 0, 0, 0, 0, 1, 3, 3, 1, 0, 0, 0, 9, 28, 53, 80, 105, 123, 134, 142, 151, 167, 190, 217, 243, 263, 274, 277, 275, 271, 271, 274, 283, 296, 312, 328, 343, 354, 361, 365, 369, 377, 387, 399, 406, 404, 392, 376, 363, 362, 376, 402, 428, 445, 442, 421, 386, 350, 321, 303, 295, 289, 278, 260, 234, 205, 177, 154, 136, 121, 106, 91, 75, 60, 48, 41, 37, 36, 34, 32, 29, 27, 30, 40, 58, 82, 111, 140, 167, 187, 200, 206, 208, 209, 212, 218, 225, 229, 227, 216, 194, 165, 132, 101, 77, 60, 51, 47, 45, 43, 38, 31, 22, 14, 7, 5, 7, 13, 23, 33, 44, 56, 67, 81, 97, 116, 137, 159, 180, 197, 209, 212, 207, 191, 169, 144, 120, 101, 87, 78, 69, 58, 44, 28, 13, 3, 0, 0, 1, 4, 4, 2, 0, 0, 3, 15, 33, 55, 77, 95, 108, 116, 125, 138, 157, 181, 205, 225, 235, 233, 220, 199, 174, 148, 123, 100, 80, 65, 54, 49, 49, 50, 49, 42, 31, 18, 6, 0, 0, 4, 10, 13, 12, 7, 2, 0, 0, 6, 13, 19, 21, 19, 13, 6, 1, 0, 0, 2, 6, 10, 11, 10, 8, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 3, 8, 12, 15, 15, 12, 8, 3, 0, 0, 0, 1, 4, 5, 5, 4, 2, 0, 0, 0, 2, 6, 11, 15, 20, 27, 37, 51, 71, 94, 118, 141, 164, 186, 208, 227, 241, 244, 233, 206, 170, 132, 102, 85, 81, 84, 85, 78, 62, 39, 18, 4, 1, 7, 17, 24, 26, 22, 14, 6, 0, 0, 0, 2, 3, 3, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 3, 7, 10, 11, 10, 8, 4, 1, 0, 0, 0, 1, 2, 3, 3, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 5, 14, 26, 37, 46, 50, 50, 49, 49, 52, 59, 70, 86, 108, 137, 171, 207, 239, 260, 268, 261, 243, 222, 205, 195, 193, 198, 205, 209, 206, 195, 180, 162, 146, 131, 119, 105, 89, 68, 46, 26, 12, 7, 10, 17, 23, 26, 24, 19, 15, 14, 15, 17, 18, 16, 13, 12, 15, 23, 32, 39, 41, 36, 26, 17, 14, 21, 38, 62, 87, 111, 130, 145, 160, 178, 202, 233, 270, 310, 349, 380, 398, 400, 385, 355, 318, 283, 259, 249, 255, 268, 282, 286, 276, 254, 222, 189, 159, 137, 120, 108, 99, 90, 83, 79, 77, 77, 76, 71, 62, 49, 34, 20, 10, 4, 3, 7, 14, 22, 31, 38, 40, 38, 32, 23, 15, 8, 4, 2, 2, 0, 0, 0, 3, 10, 22, 35, 47, 54, 55, 52, 47, 45, 51, 67, 93, 129, 170, 211, 247, 277, 298, 314, 328, 341, 353, 363, 365, 356, 336, 306, 272, 238, 207, 182, 160, 142, 124, 105, 87, 68, 51, 36, 24, 15, 12, 15, 22, 31, 37, 37, 33, 24, 13, 4, 0, 0, 0, 4, 8, 11, 13, 12, 9, 5, 1, 0, 0, 5, 11, 17, 20, 18, 14, 8, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 3, 3, 2, 1, 0, 0, 0, 2, 5, 8, 8, 7, 5, 2, 0, 0, 0, 2, 3, 3, 2, 0, 0, 0, 2, 7, 12, 14, 13, 8, 4, 2, 6, 14, 24, 32, 34, 33, 32, 36, 49, 69, 92, 112, 125, 130, 133, 138, 150, 170, 193, 210, 215, 205, 182, 152, 122, 99, 85, 78, 74, 70, 63, 52, 42, 32, 26, 22, 20, 19, 18, 18, 19, 21, 24, 27, 28, 27, 23, 16, 9, 3, 0, 0, 2, 6, 11, 13, 14, 11, 7, 3, 1, 0, 0, 0, 1, 0, 0, 0, 1, 3, 7, 10, 12, 11, 8, 4, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 4, 4, 4, 3, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 10, 12, 12, 10, 6, 2, 0, 0, 0, 0, 0, 0, 0, 2, 8, 17, 30, 44, 59, 75, 92, 110, 127, 142, 152, 155, 149, 138, 124, 110, 98, 91, 87, 85, 83, 80, 75, 69, 61, 53, 47, 42, 39, 38, 36, 32, 25, 16, 8, 2, 0, 2, 6, 10, 11, 11, 11, 13, 18, 25, 32, 38, 41, 43, 46, 52, 63, 78, 95, 114, 135, 158, 186, 219, 253, 286, 313, 333, 347, 357, 368, 378, 386, 389, 383, 367, 346, 325, 309, 301, 297, 290, 276, 251, 219, 187, 162, 146, 139, 136, 131, 121, 106, 89, 74, 62, 52, 43, 32, 21, 14, 14, 25, 46, 73, 100, 122, 138, 148, 158, 171, 192, 220, 252, 285, 313, 332, 338, 332, 316, 293, 269, 247, 233, 226, 224, 223, 217, 202, 177, 144, 110, 81, 61, 51, 46, 44, 40, 32, 22, 14, 10, 9, 11, 13, 11, 7, 3, 2, 6, 15, 24, 31, 33, 27, 17, 7, 0, 0, 2, 8, 13, 16, 14, 10, 5, 2, 3, 6, 12, 16, 18, 16, 11, 5, 0, 0, 0, 4, 10, 16, 18, 17, 12, 5, 0, 0, 3, 17, 36, 57, 76, 89, 98, 105, 115, 132, 155, 180, 204, 222, 237, 250, 268, 291, 318, 342, 358, 359, 345, 321, 291, 260, 231, 203, 176, 150, 125, 106, 93, 86, 81, 74, 63, 49, 37, 32, 36, 50, 69, 86, 97, 100, 99, 101, 110, 129, 155, 182, 205, 218, 219, 211, 195, 177, 160, 145, 136, 132, 134, 140, 148, 151, 146, 130, 102, 69, 38, 16, 8, 12, 22, 31, 36, 37, 38, 47, 66, 94, 126, 152, 167, 171, 167, 165, 169, 182, 199, 215, 221, 216, 200, 178, 157, 141, 132, 127, 124, 120, 112, 102, 89, 75, 63, 52, 43, 36, 32, 31, 33, 36, 40, 43, 45, 44, 41, 36, 31, 24, 17, 11, 5, 0, 0, 0, 3, 8, 13, 15, 14, 9, 4, 0, 0, 3, 11, 19, 25, 27, 24, 18, 11, 5, 1, 0, 0, 2, 5, 8, 11, 15, 18, 19, 19, 16, 12, 7, 4, 1, 0, 0, 0, 0, 0, 1, 4, 9, 14, 17, 17, 14, 10, 5, 2, 2, 2, 3, 3, 2, 0, 0, 0, 1, 3, 5, 4, 2, 0, 0, 0, 5, 14, 24, 31, 33, 27, 17, 6, 0, 0, 6, 15, 23, 26, 24, 17, 9, 2, 0, 0, 0, 3, 3, 2, 0, 0, 0, 4, 12, 21, 27, 28, 24, 16, 7, 1, 0, 0, 1, 2, 1, 0, 0, 0, 3, 6, 8, 9, 7, 3, 0, 0, 1, 7, 14, 20, 24, 23, 19, 12, 6, 2, 0, 0, 0, 0, 0, 1, 1, 4, 8, 14, 23, 31, 38, 41, 41, 39, 39, 45, 61, 85, 116, 148, 173, 190, 197, 197, 196, 198, 206, 220, 239, 261, 283, 303, 316, 322, 319, 309, 297, 289, 290, 305, 332, 365, 396, 416, 420, 404, 372, 333, 297, 273, 269, 285, 311, 337, 349, 336, 299, 245, 188, 143, 120, 120, 137, 156, 165, 158, 135, 106, 81, 68, 69, 80, 93, 103, 106, 106, 106, 111, 120, 134, 149, 164, 179, 194, 211, 228, 244, 256, 263, 266, 267, 269, 272, 273, 269, 258, 239, 215, 192, 173, 160, 152, 145, 136, 122, 105, 86, 69, 57, 53, 56, 63, 72, 78, 80, 79, 78, 81, 88, 100, 116, 130, 140, 144, 145, 144, 144, 147, 150, 153, 153, 152, 151, 152, 158, 166, 174, 177, 171, 158, 142, 130, 129, 143, 171, 205, 236, 254, 256, 242, 222, 207, 206, 222, 252, 287, 320, 342, 352, 351, 341, 325, 305, 282, 259, 238, 226, 224, 229, 237, 236, 221, 190, 146, 102, 67, 49, 48, 57, 68, 72, 66, 52, 37, 28, 27, 33, 42, 47, 45, 35, 22, 8, 0, 0, 1, 10, 23, 35, 44, 47, 44, 36, 25, 14, 6, 1, 1, 3, 6, 9, 12, 14, 17, 21, 27, 34, 42, 49, 55, 59, 64, 69, 76, 88, 102, 119, 135, 148, 155, 156, 149, 138, 124, 110, 96, 83, 71, 58, 47, 38, 35, 38, 45, 55, 61, 61, 54, 40, 24, 10, 0, 0, 0, 4, 10, 16, 21, 26, 28, 29, 27, 23, 16, 9, 2, 0, 0, 4, 9, 14, 16, 14, 10, 5, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 4, 5, 6, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 7, 7, 6, 3, 1, 0, 0, 0, 0, 0, 1, 2, 4, 4, 3, 2, 0, 0, 0, 2, 5, 8, 10, 13, 17, 25, 39, 56, 75, 92, 104, 107, 102, 93, 84, 81, 87, 104, 127, 153, 175, 188, 190, 183, 169, 153, 138, 126, 116, 105, 91, 75, 58, 44, 35, 32, 32, 33, 31, 25, 17, 8, 2, 0, 0, 1, 5, 10, 14, 18, 20, 19, 16, 10, 5, 1, 0, 0, 1, 3, 5, 5, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 11, 19, 28, 37, 46, 55, 63, 70, 74, 75, 75, 77, 85, 102, 130, 165, 201, 231, 249, 252, 245, 234, 226, 226, 232, 241, 247, 249, 247, 244, 245, 248, 248, 242, 225, 200, 171, 148, 136, 136, 143, 150, 154, 154, 154, 162, 182, 212, 247, 279, 300, 307, 302, 290, 278, 270, 270, 276, 282, 286, 284, 275, 260, 242, 224, 208, 193, 179, 167, 155, 143, 127, 108, 84, 59, 37, 25, 26, 42, 67, 93, 111, 116, 109, 96, 85, 84, 95, 116, 143, 167, 181, 183, 173, 154, 134, 118, 112, 113, 120, 128, 134, 136, 138, 141, 148, 161, 177, 194, 212, 231, 249, 265, 277, 281, 277, 266, 256, 251, 256, 270, 285, 294, 289, 270, 241, 213, 192, 184, 186, 191, 192, 183, 164, 138, 110, 86, 69, 57, 50, 45, 41, 36, 30, 26, 23, 22, 22, 22, 23, 22, 19, 14, 9, 4, 0, 0, 0, 2, 6, 11, 17, 21, 25, 28, 31, 35, 40, 46, 50, 51, 49, 47, 49, 59, 77, 102, 127, 147, 158, 159, 153, 147, 144, 145, 149, 155, 158, 159, 157, 155, 152, 149, 144, 139, 133, 130, 130, 133, 136, 138, 136, 132, 127, 123, 124, 127, 133, 139, 142, 142, 137, 128, 115, 99, 82, 67, 57, 55, 60, 69, 78, 80, 74, 60, 42, 25, 15, 14, 20, 31, 44, 58, 71, 82, 93, 102, 110, 117, 125, 135, 149, 168, 190, 214, 238, 261, 282, 301, 317, 328, 336, 337, 334, 327, 316, 302, 289, 278, 269, 264, 260, 254, 244, 228, 208, 187, 169, 157, 151, 146, 139, 124, 103, 79, 57, 41, 32, 29, 28, 25, 20, 12, 5, 0, 0, 2, 7, 13, 18, 21, 22, 22, 21, 19, 17, 15, 16, 18, 24, 32, 44, 60, 78, 96, 111, 120, 120, 112, 100, 91, 90, 103, 130, 163, 198, 226, 245, 254, 258, 259, 261, 263, 266, 269, 273, 278, 285, 292, 297, 295, 286, 270, 250, 230, 214, 203, 198, 197, 198, 199, 198, 193, 186, 177, 166, 153, 139, 123, 104, 84, 64, 48, 39, 38, 43, 48, 51, 49, 43, 38, 38, 44, 56, 68, 78, 84, 86, 89, 97, 109, 124, 136, 142, 139, 129, 117, 106, 101, 102, 107, 114, 118, 117, 108, 89, 64, 36, 12, 0, 2, 19, 47, 74, 91, 92, 78, 54, 28, 9, 0, 0, 0, 4, 7, 7, 6, 3, 1, 0, 0, 0, 2, 3, 4, 4, 3, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 4, 14, 27, 40, 50, 53, 50, 44, 40, 42, 53, 72, 95, 114, 125, 125, 115, 101, 86, 75, 71, 75, 86, 105, 130, 158, 185, 209, 226, 235, 239, 241, 247, 257, 272, 288, 302, 311, 317, 322, 329, 340, 351, 357, 354, 339, 315, 287, 263, 247, 239, 237, 234, 225, 207, 183, 155, 129, 108, 93, 80, 67, 51, 32, 14, 2, 0, 7, 22, 38, 47, 47, 38, 24, 9, 0, 0, 0, 6, 10, 11, 9, 6, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 4, 4, 2, 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, 1, 1, 1, 0, 0, 0, 0, 5, 12, 17, 18, 15, 8, 2, 1, 9, 23, 40, 55, 65, 68, 68, 69, 73, 82, 93, 106, 116, 124, 129, 132, 133, 133, 132, 130, 128, 125, 122, 116, 106, 92, 76, 61, 51, 49, 53, 61, 69, 73, 72, 67, 62, 59, 62, 71, 83, 96, 106, 112, 114, 116, 121, 133, 152, 176, 201, 222, 234, 238, 235, 231, 228, 228, 228, 224, 213, 196, 176, 159, 149, 148, 152, 153, 146, 128, 102, 74, 52, 40, 39, 44, 47, 45, 37, 24, 11, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 6, 11, 15, 15, 13, 8, 3, 0, 0, 1, 4, 5, 5, 3, 1, 0, 0, 3, 5, 6, 6, 3, 1, 0, 1, 4, 8, 11, 12, 11, 8, 4, 1, 0, 0, 0, 1, 4, 7, 11, 12, 12, 9, 6, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 9, 10, 8, 5, 1, 0, 0, 2, 8, 17, 23, 26, 25, 19, 11, 4, 0, 0, 1, 5, 8, 10, 10, 8, 5, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 4, 5, 4, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 3, 8, 13, 19, 23, 26, 30, 36, 45, 59, 78, 99, 119, 132, 137, 132, 120, 106, 95, 91, 91, 95, 98, 100, 102, 108, 118, 133, 148, 157, 155, 142, 121, 100, 88, 88, 99, 118, 136, 147, 148, 139, 123, 106, 92, 84, 84, 90, 100, 111, 118, 120, 115, 104, 90, 75, 64, 58, 57, 59, 60, 56, 46, 32, 19, 11, 10, 16, 25, 32, 32, 26, 16, 7, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 4, 5, 5, 3, 2, 0, 0, 0, 0, 0, 2, 5, 6, 7, 6, 4, 2, 0, 0, 0, 1, 3, 3, 2, 0, 0, 0, 1, 6, 12, 17, 18, 16, 13, 11, 15, 26, 44, 64, 79, 87, 84, 75, 65, 61, 68, 86, 112, 141, 168, 190, 207, 219, 229, 237, 241, 239, 231, 214, 192, 167, 143, 125, 113, 108, 109, 114, 121, 128, 132, 133, 128, 118, 105, 90, 77, 69, 68, 72, 78, 82, 83, 80, 77, 77, 82, 92, 102, 108, 106, 97, 83, 73, 72, 81, 99, 119, 134, 141, 137, 125, 109, 94, 81, 69, 58, 46, 34, 23, 15, 13, 16, 22, 28, 32, 33, 29, 21, 13, 5, 1, 0, 2, 6, 10, 12, 12, 9, 5, 2, 0, 0, 0, 2, 4, 5, 6, 6, 4, 2, 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, 1, 1, 0, 0, 0, 2, 12, 28, 50, 76, 100, 119, 130, 131, 124, 111, 97, 88, 87, 98, 118, 143, 167, 182, 186, 178, 164, 149, 138, 133, 134, 137, 138, 134, 127, 119, 112, 110, 112, 115, 117, 114, 106, 95, 84, 79, 80, 90, 104, 117, 125, 127, 124, 120, 119, 125, 139, 157, 175, 190, 199, 200, 195, 185, 174, 163, 156, 156, 164, 179, 197, 215, 227, 231, 228, 220, 210, 200, 193, 188, 188, 193, 205, 221, 239, 254, 261, 258, 248, 238, 235, 244, 265, 291, 316, 330, 332, 322, 307, 292, 283, 283, 289, 300, 310, 317, 320, 316, 305, 289, 269, 249, 233, 225, 226, 236, 252, 271, 287, 295, 293, 280, 259, 232, 205, 185, 175, 175, 183, 193, 201, 201, 195, 185, 177, 175, 181, 192, 207, 222, 235, 245, 251, 252, 244, 227, 205, 183, 168, 166, 176, 195, 214, 222, 216, 195, 166, 136, 113, 99, 92, 89, 85, 78, 70, 62, 58, 58, 61, 62, 60, 53, 43, 34, 30, 33, 44, 59, 77, 91, 99, 99, 94, 88, 86, 92, 106, 126, 146, 158, 159, 148, 131, 115, 110, 118, 139, 164, 186, 196, 195, 184, 172, 163, 163, 168, 175, 178, 173, 161, 143, 124, 108, 99, 96, 97, 99, 98, 92, 80, 65, 49, 38, 32, 32, 36, 41, 43, 42, 36, 27, 16, 6, 0, 0, 5, 21, 42, 63, 77, 81, 77, 67, 59, 57, 60, 67, 74, 76, 74, 70, 67, 68, 72, 77, 80, 81, 79, 77, 76, 73, 68, 59, 45, 30, 18, 14, 19, 29, 39, 44, 42, 32, 19, 7, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 3, 6, 8, 8, 6, 2, 0, 0, 3, 9, 16, 22, 27, 30, 33, 36, 38, 39, 40, 39, 39, 41, 43, 47, 50, 54, 57, 63, 70, 79, 86, 87, 82, 72, 61, 57, 61, 73, 87, 95, 93, 80, 60, 41, 31, 30, 36, 42, 44, 41, 34, 31, 35, 47, 64, 79, 87, 85, 77, 67, 63, 67, 78, 92, 106, 115, 121, 126, 133, 141, 149, 156, 158, 154, 146, 135, 125, 114, 103, 91, 77, 65, 56, 53, 55, 62, 68, 70, 66, 59, 50, 43, 42, 47, 56, 67, 76, 82, 83, 80, 75, 71, 71, 77, 88, 103, 118, 130, 135, 135, 132, 128, 127, 127, 128, 126, 120, 110, 100, 95, 98, 112, 133, 158, 180, 195, 200, 196, 188, 181, 179, 185, 199, 217, 234, 246, 251, 249, 244, 240, 240, 244, 252, 263, 275, 287, 298, 308, 315, 318, 319, 317, 315, 315, 316, 320, 322, 322, 318, 311, 306, 306, 314, 330, 350, 370, 384, 389, 384, 372, 358, 344, 333, 324, 318, 311, 303, 294, 285, 277, 272, 270, 268, 262, 250, 230, 202, 173, 149, 136, 138, 151, 169, 183, 186, 174, 149, 118, 90, 69, 58, 56, 57, 57, 52, 43, 33, 24, 20, 20, 25, 30, 33, 33, 31, 27, 25, 23, 21, 19, 14, 8, 2, 0, 1, 7, 15, 22, 24, 20, 14, 6, 1, 0, 0, 2, 3, 3, 2, 1, 0, 1, 1, 0, 0, 0, 1, 7, 15, 21, 23, 19, 11, 3, 3, 11, 29, 51, 72, 87, 95, 97, 97, 96, 94, 92, 90, 87, 87, 93, 104, 120, 138, 154, 168, 180, 191, 203, 215, 224, 230, 233, 236, 243, 254, 270, 283, 288, 279, 258, 230, 206, 195, 201, 221, 245, 262, 261, 240, 204, 164, 131, 112, 110, 121, 136, 149, 157, 160, 160, 161, 162, 161, 156, 144, 127, 110, 99, 99, 112, 133, 154, 170, 176, 172, 163, 155, 152, 155, 160, 163, 161, 154, 143, 133, 127, 126, 130, 137, 145, 150, 150, 145, 133, 118, 101, 89, 83, 86, 94, 104, 112, 114, 110, 100, 86, 67, 46, 24, 7, 0, 3, 21, 44, 65, 74, 69, 53, 37, 31, 39, 59, 81, 94, 92, 75, 53, 37, 34, 45, 65, 84, 97, 103, 106, 111, 122, 135, 145, 144, 131, 109, 85, 69, 66, 75, 90, 105, 113, 112, 104, 92, 81, 74, 71, 70, 70, 69, 64, 55, 42, 28, 15, 5, 1, 3, 11, 24, 37, 47, 51, 48, 39, 26, 16, 12, 16, 28, 43, 55, 62, 62, 58, 55, 57, 66, 82, 102, 122, 138, 150, 155, 154, 147, 136, 123, 110, 102, 99, 103, 112, 123, 133, 141, 145, 146, 145, 140, 131, 119, 105, 92, 83, 78, 79, 82, 86, 86, 81, 70, 55, 38, 23, 12, 7, 7, 12, 19, 23, 24, 21, 14, 7, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 11, 16, 19, 18, 15, 10, 5, 0, 0, 0, 1, 6, 13, 21, 30, 40, 49, 57, 66, 75, 83, 89, 92, 91, 87, 85, 87, 95, 110, 127, 143, 155, 162, 165, 166, 167, 166, 163, 156, 148, 143, 144, 155, 172, 189, 199, 197, 184, 164, 147, 138, 142, 154, 169, 180, 185, 181, 172, 161, 149, 138, 127, 118, 111, 108, 109, 114, 120, 123, 120, 111, 99, 89, 83, 84, 89, 97, 101, 101, 97, 90, 85, 82, 81, 79, 77, 73, 69, 67, 67, 70, 74, 78, 84, 92, 104, 120, 135, 147, 154, 154, 150, 149, 153, 164, 178, 192, 199, 198, 190, 181, 177, 180, 191, 205, 217, 224, 224, 222, 224, 233, 249, 267, 280, 279, 265, 241, 216, 201, 201, 216, 239, 258, 266, 260, 243, 225, 212, 211, 222, 239, 256, 265, 264, 252, 234, 216, 201, 195, 196, 201, 207, 207, 198, 182, 163, 148, 142, 147, 162, 178, 189, 188, 177, 163, 154, 156, 171, 195, 218, 233, 236, 228, 216, 206, 203, 208, 217, 225, 227, 225, 220, 217, 220, 231, 248, 265, 279, 285, 282, 274, 265, 260, 262, 270, 279, 285, 281, 268, 249, 232, 222, 225, 239, 260, 278, 286, 279, 260, 235, 210, 192, 182, 177, 171, 158, 137, 109, 80, 58, 49, 54, 71, 92, 109, 116, 111, 93, 68, 42, 20, 6, 0, 0, 2, 5, 6, 5, 3, 1, 0, 0, 0, 1, 3, 3, 3, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 5, 10, 15, 18, 18, 14, 9, 4, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 5, 7, 8, 6, 2, 0, 0, 5, 17, 34, 49, 59, 60, 52, 39, 24, 13, 7, 8, 14, 22, 30, 36, 41, 43, 44, 45, 46, 48, 54, 62, 73, 85, 97, 107, 116, 122, 125, 124, 120, 113, 105, 100, 99, 106, 117, 131, 142, 149, 150, 147, 141, 133, 124, 115, 107, 102, 103, 109, 121, 132, 139, 139, 133, 124, 119, 119, 126, 135, 141, 140, 133, 122, 114, 114, 121, 135, 147, 153, 146, 128, 100, 71, 48, 37, 41, 57, 79, 100, 114, 116, 109, 96, 84, 76, 72, 69, 65, 57, 46, 36, 30, 29, 33, 36, 36, 34, 31, 31, 37, 47, 57, 60, 54, 40, 21, 6, 0, 1, 9, 17, 21, 19, 13, 6, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 6, 10, 12, 11, 9, 5, 2, 0, 1, 3, 5, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 7, 7, 5, 1, 0, 0, 6, 18, 31, 44, 53, 56, 55, 51, 48, 45, 43, 39, 35, 31, 32, 38, 49, 60, 68, 69, 63, 52, 44, 43, 52, 69, 90, 108, 121, 127, 127, 125, 122, 120, 121, 125, 130, 136, 140, 141, 138, 132, 127, 129, 138, 155, 172, 183, 183, 172, 156, 145, 146, 162, 189, 218, 237, 241, 230, 213, 199, 197, 209, 230, 251, 263, 261, 249, 233, 220, 215, 218, 224, 230, 232, 230, 226, 224, 226, 233, 242, 250, 254, 252, 244, 231, 216, 204, 199, 202, 213, 229, 244, 250, 244, 225, 197, 167, 141, 123, 115, 115, 117, 119, 118, 113, 106, 97, 89, 81, 76, 73, 72, 73, 75, 73, 67, 56, 41, 25, 12, 3, 0, 0, 0, 0, 0, 0, 1, 3, 6, 8, 10, 9, 8, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 4, 7, 11, 18, 26, 36, 44, 52, 57, 62, 68, 75, 83, 92, 100, 104, 104, 101, 96, 94, 94, 98, 102, 105, 102, 96, 88, 86, 92, 109, 131, 153, 166, 166, 153, 135, 119, 113, 118, 130, 142, 148, 146, 137, 126, 118, 113, 109, 103, 95, 86, 81, 83, 92, 103, 109, 104, 87, 64, 44, 36, 43, 60, 79, 91, 91, 80, 64, 49, 43, 47, 59, 75, 90, 103, 113, 121, 127, 129, 127, 120, 107, 93, 80, 71, 66, 65, 65, 65, 63, 60, 57, 57, 60, 67, 77, 87, 93, 95, 90, 79, 67, 55, 47, 44, 46, 50, 53, 55, 53, 48, 43, 40, 40, 46, 56, 70, 85, 100, 110, 114, 112, 105, 93, 80, 68, 60, 57, 58, 62, 66, 68, 65, 59, 51, 44, 38, 36, 35, 33, 27, 17, 7, 1, 4, 16, 38, 61, 80, 87, 81, 63, 39, 17, 2, 0, 0, 7, 17, 25, 30, 30, 25, 16, 6, 0, 0, 2, 13, 26, 36, 40, 34, 23, 13, 11, 20, 41, 68, 91, 104, 103, 91, 74, 57, 45, 39, 40, 46, 55, 67, 79, 89, 95, 92, 81, 64, 45, 28, 18, 16, 18, 24, 31, 37, 42, 46, 50, 51, 50, 46, 41, 35, 29, 24, 21, 18, 17, 17, 19, 21, 23, 23, 20, 16, 10, 5, 1, 0, 0, 0, 4, 11, 19, 23, 21, 13, 3, 0, 6, 26, 54, 81, 96, 93, 72, 41, 13, 0, 0, 18, 42, 63, 72, 68, 57, 47, 47, 58, 79, 102, 118, 123, 114, 98, 80, 68, 64, 69, 79, 92, 102, 110, 115, 117, 116, 112, 106, 100, 96, 94, 95, 97, 98, 96, 92, 86, 82, 83, 87, 92, 95, 95, 92, 89, 86, 86, 88, 88, 88, 88, 93, 107, 129, 156, 181, 196, 194, 177, 148, 116, 87, 68, 61, 66, 79, 96, 113, 127, 136, 138, 135, 129, 124, 124, 130, 142, 158, 173, 183, 186, 180, 166, 151, 139, 135, 142, 158, 177, 194, 205, 208, 206, 202, 198, 196, 195, 192, 187, 179, 171, 165, 162, 163, 165, 166, 166, 165, 166, 171, 183, 200, 219, 235, 245, 246, 241, 232, 225, 222, 224, 228, 232, 233, 232, 233, 237, 246, 258, 271, 280, 283, 280, 273, 266, 261, 258, 256, 251, 243, 234, 227, 224, 226, 234, 241, 244, 241, 230, 216, 204, 199, 202, 212, 224, 235, 240, 239, 232, 222, 210, 198, 187, 177, 169, 165, 165, 170, 179, 189, 199, 204, 202, 193, 178, 158, 140, 128, 125, 130, 141, 150, 150, 139, 117, 89, 63, 47, 43, 49, 60, 69, 71, 65, 54, 42, 33, 27, 23, 19, 14, 8, 2, 0, 0, 4, 11, 16, 18, 18, 15, 12, 11, 11, 14, 17, 18, 17, 14, 10, 5, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 5, 17, 36, 58, 76, 86, 82, 67, 46, 27, 18, 23, 43, 71, 99, 118, 126, 122, 113, 105, 104, 111, 123, 137, 148, 153, 156, 158, 163, 171, 182, 192, 200, 203, 201, 199, 196, 196, 196, 198, 198, 198, 197, 196, 197, 199, 203, 208, 213, 217, 222, 227, 234, 243, 254, 265, 276, 284, 288, 287, 282, 273, 261, 248, 234, 224, 218, 219, 225, 235, 244, 251, 252, 249, 242, 234, 226, 218, 207, 193, 177, 161, 147, 138, 135, 139, 145, 152, 155, 153, 146, 135, 124, 115, 110, 110, 112, 111, 105, 89, 67, 41, 19, 5, 3, 9, 19, 28, 31, 28, 23, 21, 23, 30, 37, 40, 36, 27, 16, 5, 0, 0, 0, 3, 5, 5, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 7, 11, 15, 15, 13, 9, 3, 0, 0, 1, 7, 15, 24, 34, 44, 52, 58, 62, 63, 62, 60, 58, 60, 65, 75, 89, 105, 121, 133, 141, 142, 138, 130, 120, 109, 101, 97, 95, 95, 95, 95, 93, 90, 89, 91, 96, 103, 111, 116, 119, 120, 119, 118, 120, 122, 124, 123, 118, 108, 98, 89, 86, 88, 94, 98, 97, 89, 74, 58, 46, 42, 47, 57, 67, 72, 68, 57, 42, 27, 16, 12, 12, 16, 22, 29, 34, 37, 36, 32, 25, 16, 8, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 3, 5, 7, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 9, 18, 27, 33, 34, 32, 30, 29, 30, 33, 36, 34, 27, 17, 8, 1, 0, 2, 6, 12, 18, 26, 36, 50, 63, 71, 70, 58, 38, 15, 0, 0, 11, 36, 63, 84, 92, 86, 71, 53, 40, 34, 34, 35, 33, 27, 17, 7, 0, 0, 0, 2, 6, 7, 6, 2, 0, 0, 2, 9, 18, 27, 33, 34, 31, 24, 17, 10, 5, 3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 10, 20, 29, 35, 35, 31, 25, 20, 18, 17, 15, 11, 6, 5, 12, 31, 60, 91, 113, 119, 103, 72, 36, 10, 2, 17, 48, 85, 117, 136, 140, 135, 124, 115, 111, 112, 119, 130, 144, 160, 176, 189, 199, 207, 214, 221, 230, 240, 247, 247, 239, 227, 215, 210, 217, 232, 251, 267, 273, 269, 258, 248, 241, 239, 238, 234, 224, 211, 204, 208, 228, 260, 291, 308, 303, 274, 230, 185, 154, 145, 158, 185, 216, 243, 259, 265, 263, 253, 237, 215, 187, 157, 132, 117, 117, 132, 158, 186, 207, 216, 211, 196, 177, 162, 155, 158, 167, 177, 185, 187, 184, 179, 175, 176, 180, 186, 192, 194, 194, 193, 194, 197, 201, 204, 202, 194, 182, 166, 152, 142, 137, 136, 139, 143, 146, 148, 147, 143, 136, 130, 128, 133, 149, 172, 199, 221, 233, 230, 213, 190, 167, 152, 150, 160, 179, 201, 219, 229, 228, 218, 202, 187, 179, 179, 186, 193, 193, 182, 162, 141, 128, 128, 143, 166, 185, 192, 184, 166, 145, 131, 126, 130, 135, 135, 127, 112, 97, 89, 92, 108, 130, 152, 166, 167, 155, 134, 108, 83, 64, 53, 53, 61, 76, 95, 111, 120, 117, 102, 78, 49, 23, 4, 0, 0, 8, 24, 40, 52, 56, 51, 38, 22, 11, 9, 18, 34, 51, 60, 59, 49, 35, 24, 22, 27, 35, 42, 42, 37, 30, 28, 36, 52, 72, 87, 90, 79, 58, 36, 20, 18, 29, 49, 74, 97, 115, 129, 141, 151, 160, 165, 166, 163, 157, 154, 157, 166, 182, 200, 217, 229, 238, 245, 253, 267, 286, 308, 330, 348, 361, 372, 384, 402, 427, 456, 483, 501, 507, 505, 501, 505, 524, 556, 596, 630, 651, 655, 645, 632, 624, 627, 643, 664, 685, 698, 702, 700, 695, 690, 687, 684, 679, 669, 656, 642, 632, 630, 639, 657, 681, 700, 709, 700, 674, 636, 595, 562, 542, 538, 544, 553, 557, 551, 535, 511, 484, 459, 438, 422, 410, 403, 397, 389, 378, 361, 340, 319, 303, 295, 294, 293, 287, 271, 247, 220, 199, 190, 192, 201, 206, 204, 191, 174, 158, 148, 143, 141, 135, 123, 105, 87, 74, 71, 77, 86, 91, 89, 79, 65, 53, 48, 51, 58, 63, 61, 51, 35, 19, 6, 0, 0, 0, 0, 1, 4, 10, 17, 23, 26, 24, 17, 8, 1, 0, 2, 9, 17, 23, 27, 28, 27, 25, 23, 21, 17, 11, 4, 0, 0, 5, 14, 25, 33, 35, 31, 22, 11, 3, 0, 0, 0, 2, 5, 7, 9, 9, 8, 6, 4, 1, 0, 0, 0, 1, 1, 2],
"peakC": [1973, 1972, 1968, 1961, 1948, 1925, 1892, 1847, 1791, 1721, 1640, 1553, 1474, 1410, 1361, 1313, 1252, 1171, 1067, 949, 834, 735, 662, 615, 585, 559, 529, 488, 438, 386, 337, 297, 266, 240, 216, 193, 169, 147, 130, 120, 117, 116, 114, 109, 98, 84, 71, 62, 59, 59, 60, 58, 53, 44, 36, 31, 31, 34, 37, 37, 31, 23, 17, 18, 27, 44, 62, 74, 76, 69, 58, 51, 56, 75, 105, 140, 172, 193, 205, 212, 219, 231, 251, 273, 292, 302, 301, 291, 276, 262, 253, 249, 249, 251, 256, 261, 269, 279, 292, 308, 325, 342, 357, 368, 374, 373, 365, 350, 328, 302, 274, 246, 219, 195, 174, 156, 140, 123, 102, 77, 51, 26, 8, 1, 8, 24, 46, 64, 73, 69, 54, 33, 13, 0, 0, 5, 22, 41, 57, 65, 64, 57, 51, 57, 80, 124, 185, 252, 316, 365, 394, 403, 397, 382, 365, 351, 338, 325, 308, 284, 250, 209, 162, 116, 76, 47, 31, 27, 29, 32, 31, 24, 12, 0, 0, 2, 23, 54, 91, 127, 159, 190, 223, 262, 308, 354, 392, 413, 411, 390, 355, 317, 283, 256, 233, 208, 177, 138, 95, 55, 26, 12, 11, 19, 29, 34, 34, 28, 19, 11, 6, 3, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 0, 0, 0, 3, 19, 46, 80, 118, 157, 196, 236, 280, 329, 379, 424, 456, 470, 464, 443, 416, 391, 375, 371, 380, 400, 428, 460, 491, 514, 522, 511, 479, 431, 374, 313, 255, 203, 158, 118, 83, 54, 30, 14, 4, 0, 0, 0, 4, 11, 23, 42, 70, 110, 166, 238, 322, 409, 488, 547, 574, 564, 519, 448, 362, 275, 197, 137, 95, 73, 66, 75, 99, 140, 199, 273, 354, 433, 496, 532, 533, 499, 437, 358, 276, 202, 142, 97, 65, 43, 29, 27, 42, 78, 138, 218, 307, 393, 461, 501, 509, 486, 439, 377, 310, 245, 187, 139, 101, 72, 51, 35, 23, 14, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 2, 1, 0, 0, 2, 6, 10, 12, 12, 8, 3, 0, 0, 2, 10, 19, 25, 27, 24, 16, 9, 4, 4, 8, 13, 16, 15, 11, 5, 0, 0, 0, 5, 11, 17, 19, 17, 13, 7, 3, 1, 0, 0, 0, 0, 11, 38, 84, 150, 229, 314, 392, 454, 491, 498, 474, 423, 350, 265, 180, 106, 51, 17, 1, 0, 0, 1, 1, 0, 0, 3, 9, 15, 18, 17, 13, 7, 2, 0, 0, 2, 3, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 5, 4, 3, 2, 1, 0, 0, 0, 0, 1, 4, 8, 11, 12, 11, 8, 4, 0, 0, 0, 2, 7, 10, 10, 5, 0, 0, 9, 49, 120, 219, 335, 447, 536, 585, 587, 546, 471, 377, 277, 186, 112, 58, 24, 6, 0, 0, 0, 0, 3, 8, 14, 18, 18, 14, 7, 1, 0, 4, 15, 28, 38, 41, 36, 25, 11, 1, 0, 0, 9, 18, 25, 27, 23, 16, 9, 4, 4, 6, 9, 9, 5, 0, 0, 12, 45, 103, 187, 292, 405, 510, 588, 623, 608, 546, 452, 350, 269, 232, 251, 323, 431, 547, 642, 694, 690, 631, 529, 405, 280, 171, 87, 33, 3, 0, 6, 37, 94, 180, 293, 421, 547, 648, 705, 706, 652, 555, 434, 312, 204, 121, 65, 32, 14, 5, 1, 0, 0, 0, 1, 2, 3, 2, 0, 0, 0, 6, 14, 23, 29, 30, 25, 17, 7, 1, 0, 0, 2, 4, 5, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 3, 5, 6, 5, 5, 5, 8, 13, 19, 24, 25, 22, 17, 12, 10, 11, 16, 20, 22, 21, 17, 10, 5, 1, 0, 0, 0, 3, 8, 16, 25, 33, 37, 37, 31, 22, 12, 4, 0, 2, 7, 14, 19, 20, 17, 11, 5, 1, 0, 0, 1, 2, 1, 0, 0, 1, 7, 15, 23, 27, 24, 16, 6, 0, 0, 7, 16, 23, 24, 17, 7, 0, 0, 9, 24, 38, 45, 42, 30, 15, 3, 0, 0, 9, 18, 22, 21, 15, 8, 5, 7, 13, 20, 21, 14, 3, 0, 9, 55, 143, 271, 425, 580, 707, 779, 780, 709, 581, 422, 264, 134, 47, 4, 0, 1, 10, 12, 6, 0, 0, 4, 19, 37, 51, 56, 50, 36, 20, 6, 0, 0, 2, 8, 13, 17, 19, 20, 22, 22, 20, 16, 10, 3, 0, 1, 8, 19, 31, 39, 39, 33, 22, 11, 3, 0, 0, 1, 1, 0, 0, 0, 3, 8, 12, 13, 11, 8, 6, 10, 19, 31, 41, 44, 38, 27, 13, 3, 0, 0, 5, 9, 10, 7, 3, 0, 0, 3, 10, 17, 23, 25, 24, 19, 14, 8, 5, 3, 2, 2, 2, 1, 0, 0, 0, 5, 12, 19, 25, 28, 26, 20, 13, 6, 1, 0, 0, 1, 3, 3, 1, 0, 0, 0, 4, 10, 17, 21, 22, 18, 12, 6, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 2, 0, 0, 0, 2, 6, 8, 5, 0, 0, 12, 58, 144, 267, 412, 551, 652, 688, 647, 538, 393, 255, 170, 170, 263, 429, 622, 790, 883, 877, 775, 606, 412, 236, 105, 29, 0, 0, 11, 21, 26, 27, 27, 27, 27, 26, 22, 16, 9, 3, 0, 0, 0, 0, 0, 0, 0, 2, 5, 9, 11, 13, 12, 8, 4, 1, 0, 0, 2, 6, 11, 14, 14, 11, 6, 1, 0, 0, 5, 13, 20, 24, 23, 18, 11, 4, 0, 0, 0, 1, 3, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 5, 4, 2, 0, 0, 1, 5, 10, 14, 15, 12, 8, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 4, 3, 1, 0, 0, 0, 1, 2, 4, 4, 4, 3, 1, 0, 0, 0, 0, 2, 5, 7, 7, 6, 2, 0, 0, 2, 10, 21, 30, 33, 30, 21, 10, 2, 0, 1, 8, 14, 18, 17, 12, 5, 0, 0, 0, 8, 18, 22, 15, 0, 0, 2, 66, 194, 381, 597, 799, 936, 973, 902, 743, 537, 331, 165, 56, 5, 0, 0, 9, 13, 13, 12, 13, 16, 18, 17, 13, 7, 4, 4, 8, 14, 18, 19, 16, 11, 5, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 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, 1, 2, 3, 3, 1, 0, 0, 0, 4, 13, 17, 13, 0, 0, 0, 45, 141, 279, 435, 570, 647, 643, 560, 424, 272, 139, 48, 3, 0, 0, 8, 11, 7, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 3, 2, 1, 0, 0, 1, 4, 9, 13, 15, 14, 10, 5, 1, 0, 0, 0, 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, 1, 4, 8, 11, 12, 12, 10, 7, 3, 0, 0, 0, 0, 9, 21, 27, 22, 5, 0, 0, 53, 180, 372, 598, 804, 934, 947, 836, 634, 405, 220, 140, 189, 352, 575, 785, 913, 919, 802, 600, 381, 214, 151, 210, 367, 570, 750, 849, 835, 711, 513, 303, 147, 95, 170, 356, 605, 847, 1014, 1055, 957, 746, 480, 236, 82, 65, 186, 410, 667, 882, 994, 975, 836, 623, 394, 199, 69, 6, 0, 1, 12, 14, 8, 0, 0, 0, 0, 6, 10, 10, 7, 1, 0, 0, 0, 9, 17, 17, 7, 0, 0, 38, 144, 319, 540, 761, 923, 976, 900, 710, 459, 217, 57, 24, 128, 339, 595, 826, 969, 990, 891, 704, 483, 278, 125, 35, 0, 0, 0, 5, 10, 12, 11, 5, 0, 0, 12, 89, 239, 456, 708, 942, 1097, 1127, 1020, 803, 531, 278, 108, 61, 139, 309, 514, 691, 792, 791, 694, 533, 349, 184, 66, 3, 0, 3, 25, 35, 26, 2, 0, 0, 69, 211, 410, 624, 797, 878, 840, 690, 468, 235, 55, 0, 15, 165, 385, 616, 798, 881, 846, 708, 509, 304, 138, 35, 0, 0, 6, 17, 16, 8, 0, 0, 0, 0, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 3, 5, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 1, 0, 0, 0, 1, 7, 10, 7, 0, 0, 10, 61, 158, 293, 447, 583, 666, 669, 587, 437, 258, 97, 1, 1, 104, 293, 523, 741, 890, 936, 869, 710, 504, 299, 138, 38, 0, 0, 5, 14, 14, 5, 0, 0, 0, 10, 20, 26, 25, 17, 7, 0, 0, 0, 6, 11, 8, 0, 0, 7, 53, 142, 268, 410, 536, 610, 610, 530, 389, 225, 87, 18, 45, 171, 371, 596, 792, 907, 915, 815, 639, 431, 240, 100, 20, 0, 0, 10, 19, 19, 13, 5, 0, 0, 0, 1, 3, 5, 8, 9, 10, 8, 5, 1, 0, 0, 4, 9, 12, 11, 6, 1, 0, 0, 6, 12, 10, 0, 0, 0, 45, 144, 290, 461, 617, 716, 730, 657, 516, 347, 189, 72, 6, 0, 0, 17, 28, 24, 5, 0, 0, 41, 152, 319, 515, 694, 811, 833, 755, 601, 413, 237, 104, 26, 0, 0, 4, 10, 9, 3, 0, 0, 0, 0, 3, 5, 5, 5, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 3, 6, 7, 6, 2, 0, 0, 1, 8, 13, 11, 2, 0, 0, 41, 128, 257, 402, 528, 597, 585, 490, 336, 166, 33, 0, 36, 201, 445, 716, 947, 1079, 1080, 952, 733, 481, 255, 95, 11, 0, 0, 13, 18, 12, 1, 0, 0, 7, 20, 30, 34, 32, 25, 18, 12, 9, 7, 6, 4, 2, 0, 0, 3, 7, 12, 15, 15, 15, 15, 16, 17, 13, 3, 0, 0, 26, 105, 231, 386, 534, 637, 663, 606, 484, 331, 186, 77, 15, 0, 0, 5, 10, 9, 3, 0, 0, 0, 1, 5, 7, 7, 4, 1, 0, 0, 1, 5, 7, 5, 0, 0, 12, 58, 141, 257, 389, 508, 584, 592, 524, 392, 228, 79, 0, 9, 133, 346, 596, 813, 933, 919, 772, 534, 278, 80, 1, 62, 243, 491, 733, 902, 957, 890, 727, 515, 306, 141, 40, 0, 0, 11, 23, 25, 18, 9, 5, 9, 19, 30, 35, 31, 22, 10, 4, 6, 13, 18, 13, 0, 0, 4, 70, 198, 376, 568, 725, 799, 765, 629, 428, 216, 50, 0, 13, 158, 380, 626, 838, 961, 962, 840, 623, 370, 147, 13, 1, 111, 308, 534, 725, 832, 830, 726, 553, 360, 188, 67, 3, 0, 0, 21, 36, 34, 15, 0, 0, 12, 105, 262, 463, 664, 811, 863, 803, 652, 452, 258, 109, 23, 0, 0, 7, 12, 8, 3, 1, 5, 8, 5, 0, 0, 25, 106, 248, 439, 643, 811, 895, 867, 730, 517, 283, 91, 0, 14, 148, 358, 585, 767, 856, 833, 711, 527, 330, 165, 55, 2, 0, 1, 11, 14, 11, 5, 3, 4, 7, 10, 9, 6, 2, 0, 0, 3, 7, 10, 11, 10, 7, 3, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 4, 5, 5, 5, 3, 1, 0, 0, 0, 0, 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, 1, 4, 6, 8, 9, 10, 9, 7, 3, 0, 0, 0, 1, 13, 21, 18, 4, 0, 0, 57, 193, 401, 647, 873, 1015, 1028, 904, 673, 398, 154, 4, 0, 94, 304, 558, 791, 943, 977, 884, 690, 443, 209, 45, 0, 69, 246, 477, 699, 852, 897, 825, 662, 456, 259, 109, 24, 0, 0, 8, 11, 6, 0, 0, 8, 19, 22, 13, 0, 0, 24, 108, 245, 410, 561, 653, 660, 579, 436, 273, 131, 36, 0, 0, 6, 24, 33, 32, 25, 15, 7, 2, 0, 0, 1, 2, 3, 2, 1, 0, 0, 0, 2, 5, 10, 13, 13, 11, 7, 3, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 7, 13, 18, 21, 19, 15, 9, 4, 2, 2, 4, 5, 6, 8, 14, 22, 30, 29, 16, 0, 0, 7, 90, 242, 445, 655, 816, 881, 830, 680, 475, 272, 114, 22, 0, 0, 9, 19, 16, 7, 0, 0, 0, 3, 7, 7, 4, 0, 0, 0, 5, 14, 19, 13, 0, 0, 2, 57, 167, 323, 499, 655, 749, 756, 675, 529, 357, 198, 82, 17, 0, 0, 5, 11, 9, 3, 0, 0, 0, 1, 4, 6, 6, 6, 4, 2, 1, 0, 0, 0, 2, 4, 6, 7, 6, 4, 2, 0, 0, 0, 0, 0, 1, 1, 2, 4, 7, 11, 17, 21, 24, 23, 19, 13, 7, 2, 0, 0, 2, 5, 7, 7, 6, 4, 1, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 7, 7, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 6, 3, 0, 0, 0, 0, 11, 21, 20, 5, 0, 0, 47, 180, 389, 642, 879, 1036, 1065, 957, 746, 491, 257, 89, 3, 0, 0, 22, 32, 27, 13, 1, 0, 0, 2, 6, 7, 5, 3, 2, 2, 4, 4, 4, 2, 0, 0, 0, 2, 4, 5, 4, 2, 1, 0, 0, 2, 3, 3, 2, 0, 0, 0, 5, 13, 21, 25, 24, 20, 14, 10, 11, 14, 17, 16, 10, 2, 0, 0, 7, 15, 14, 3, 0, 0, 40, 144, 302, 485, 648, 744, 744, 648, 486, 305, 149, 45, 0, 0, 2, 13, 15, 8, 0, 0, 0, 7, 16, 20, 19, 13, 8, 8, 16, 26, 29, 18, 0, 0, 12, 111, 295, 544, 810, 1022, 1119, 1067, 878, 602, 314, 89, 0, 4, 144, 353, 569, 734, 807, 774, 652, 477, 296, 147, 49, 4, 0, 1, 7, 8, 4, 1, 3, 10, 19, 23, 22, 16, 9, 2, 0, 0, 0, 0, 1, 1, 2, 3, 3, 2, 0, 0, 0, 0, 7, 13, 13, 3, 0, 0, 34, 123, 261, 432, 597, 716, 755, 701, 565, 381, 194, 49, 0, 12, 134, 321, 526, 697, 790, 781, 676, 507, 320, 158, 49, 0, 0, 9, 29, 40, 39, 28, 15, 5, 0, 0, 1, 2, 2, 1, 0, 0, 3, 7, 11, 13, 11, 8, 4, 1, 0, 0, 1, 3, 3, 3, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 8, 15, 20, 20, 17, 10, 4, 0, 0, 3, 8, 11, 11, 9, 5, 1, 0, 0, 0, 4, 9, 14, 16, 13, 7, 0, 0, 0, 6, 17, 22, 15, 0, 0, 9, 84, 222, 408, 601, 748, 803, 743, 582, 364, 156, 20, 1, 108, 314, 565, 794, 940, 969, 879, 699, 480, 274, 119, 28, 0, 0, 6, 14, 12, 5, 0, 0, 0, 0, 6, 11, 15, 18, 18, 18, 18, 19, 19, 17, 8, 0, 0, 12, 81, 207, 381, 571, 734, 824, 818, 716, 548, 357, 188, 69, 8, 0, 0, 9, 13, 10, 2, 0, 0, 0, 1, 3, 3, 2, 1, 1, 1, 2, 3, 3, 3, 3, 4, 5, 4, 1, 0, 0, 0, 5, 16, 22, 17, 1, 0, 0, 56, 180, 361, 567, 747, 853, 854, 751, 576, 376, 197, 70, 3, 0, 0, 15, 28, 27, 13, 0, 0, 11, 93, 238, 434, 643, 814, 901, 873, 734, 520, 287, 96, 0, 12, 136, 331, 546, 725, 823, 820, 723, 561, 377, 211, 89, 21, 0, 0, 6, 10, 7, 1, 0, 0, 0, 6, 9, 9, 6, 2, 0, 0, 3, 9, 15, 18, 18, 15, 10, 5, 2, 1, 0, 0, 0, 0, 1, 7, 11, 11, 3, 0, 0, 22, 89, 196, 327, 452, 539, 563, 518, 420, 295, 174, 80, 23, 0, 0, 1, 6, 6, 3, 0, 0, 0, 0, 4, 7, 10, 10, 9, 6, 2, 0, 1, 3, 6, 6, 4, 0, 0, 0, 5, 15, 20, 13, 0, 0, 6, 85, 236, 444, 670, 859, 957, 939, 810, 609, 389, 200, 71, 7, 0, 3, 19, 29, 32, 29, 24, 13, 0, 0, 0, 46, 149, 304, 485, 653, 762, 783, 709, 563, 385, 219, 95, 24, 0, 0, 2, 4, 2, 0, 0, 4, 6, 2, 0, 0, 29, 104, 227, 382, 534, 643, 674, 612, 472, 290, 117, 4, 0, 74, 252, 481, 706, 872, 940, 897, 758, 562, 357, 183, 66, 7, 0, 0, 13, 21, 20, 16, 12, 11, 13, 15, 16, 15, 12, 7, 3, 0, 0, 0, 2, 4, 4, 4, 2, 0, 0, 4, 10, 16, 21, 23, 20, 15, 9, 5, 2, 0, 0, 0, 0, 1, 8, 15, 14, 4, 0, 0, 31, 123, 268, 444, 609, 717, 736, 661, 515, 339, 177, 62, 2, 0, 0, 17, 26, 24, 15, 7, 2, 2, 3, 4, 2, 0, 0, 0, 6, 14, 18, 12, 0, 0, 9, 73, 194, 363, 550, 711, 804, 800, 696, 519, 312, 128, 13, 0, 75, 232, 424, 603, 722, 755, 696, 565, 397, 234, 106, 28, 0, 0, 14, 26, 27, 20, 9, 0, 0, 0, 3, 6, 8, 7, 4, 2, 0, 0, 0, 1, 6, 12, 18, 22, 22, 18, 12, 5, 1, 0, 0, 0, 0, 0, 0, 1, 5, 12, 20, 26, 28, 26, 21, 14, 7, 2, 0, 1, 3, 6, 11, 18, 25, 28, 23, 10, 0, 0, 25, 112, 260, 455, 662, 836, 932, 925, 817, 637, 430, 242, 102, 22, 0, 0, 8, 21, 27, 27, 24, 20, 13, 6, 1, 0, 6, 18, 32, 43, 47, 42, 29, 15, 4, 0, 0, 6, 12, 17, 21, 23, 25, 24, 18, 7, 0, 0, 17, 84, 196, 341, 488, 603, 653, 626, 531, 394, 251, 131, 51, 10, 0, 0, 0, 0, 2, 5, 8, 5, 0, 0, 3, 55, 159, 311, 485, 641, 734, 737, 650, 496, 319, 161, 52, 0, 0, 6, 23, 31, 27, 15, 4, 0, 0, 0, 2, 3, 1, 0, 2, 7, 15, 22, 26, 24, 18, 10, 4, 1, 2, 6, 10, 13, 17, 20, 21, 17, 7, 0, 0, 14, 78, 191, 343, 505, 641, 713, 704, 616, 472, 310, 166, 62, 7, 0, 0, 17, 30, 35, 34, 29, 22, 16, 11, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 7, 9, 9, 7, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 3, 6, 9, 10, 8, 6, 5, 7, 14, 22, 24, 16, 0, 0, 5, 69, 194, 372, 573, 751, 858, 860, 751, 559, 332, 132, 11, 0, 92, 262, 460, 634, 742, 764, 702, 579, 426, 277, 154, 67, 18, 0, 0, 6, 14, 16, 7, 0, 0, 11, 76, 191, 344, 506, 640, 709, 696, 605, 460, 300, 158, 59, 7, 0, 0, 11, 17, 16, 10, 3, 0, 0, 1, 2, 3, 4, 6, 10, 15, 20, 24, 26, 25, 23, 20, 18, 16, 14, 11, 8, 4, 1, 0, 0, 1, 6, 11, 14, 16, 14, 11, 8, 7, 8, 11, 14, 17, 19, 19, 18, 17, 16, 14, 11, 7, 2, 0, 0, 4, 12, 23, 31, 34, 31, 23, 12, 3, 0, 0, 1, 6, 11, 13, 13, 11, 7, 3, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 4, 9, 16, 23, 28, 32, 34, 33, 26, 13, 0, 0, 5, 66, 177, 332, 502, 648, 733, 733, 651, 508, 343, 192, 81, 18, 0, 0, 5, 11, 10, 4, 0, 0, 0, 6, 17, 27, 34, 35, 29, 19, 8, 0, 0, 1, 10, 19, 24, 23, 15, 5, 0, 0, 6, 13, 14, 4, 0, 0, 34, 129, 279, 462, 638, 762, 802, 748, 617, 446, 276, 139, 49, 7, 0, 2, 8, 8, 3, 0, 0, 1, 15, 31, 44, 49, 44, 30, 14, 1, 0, 2, 14, 29, 39, 42, 37, 27, 15, 6, 0, 0, 0, 0, 0, 4, 11, 20, 28, 32, 30, 21, 11, 2, 0, 3, 8, 11, 7, 0, 0, 11, 65, 162, 292, 433, 553, 622, 621, 553, 436, 299, 172, 77, 21, 0, 0, 2, 6, 4, 0, 0, 0, 5, 13, 19, 21, 18, 12, 5, 0, 0, 0, 2, 5, 7, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 4, 5, 4, 4, 5, 5, 5, 4, 2, 1, 0, 0, 2, 5, 7, 8, 8, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 4, 8, 12, 14, 13, 9, 5, 2, 0, 0, 0, 0, 0, 0, 4, 12, 20, 27, 29, 25, 16, 6, 0, 0, 0, 5, 9, 7, 0, 0, 5, 46, 126, 243, 381, 509, 596, 618, 567, 458, 319, 183, 78, 16, 0, 0, 8, 15, 14, 7, 0, 0, 0, 3, 8, 10, 8, 5, 1, 0, 0, 5, 12, 20, 25, 27, 26, 21, 15, 8, 3, 0, 0, 0, 5, 13, 22, 28, 30, 26, 18, 9, 2, 0, 1, 5, 9, 11, 10, 9, 7, 7, 8, 9, 9, 7, 3, 0, 0, 1, 4, 7, 10, 10, 8, 4, 1, 0, 0, 1, 5, 9, 13, 15, 17, 19, 22, 25, 28, 30, 29, 25, 17, 9, 2, 0, 0, 4, 11, 18, 22, 22, 19, 15, 12, 9, 7, 3, 0, 0, 6, 38, 99, 187, 289, 386, 455, 479, 453, 383, 287, 187, 101, 41, 9, 0, 0, 2, 4, 3, 1, 0, 0, 0, 0, 2, 6, 13, 19, 24, 24, 20, 14, 7, 3, 1, 1, 1, 0, 0, 0, 0, 5, 10, 9, 2, 0, 0, 27, 97, 207, 344, 480, 585, 634, 615, 536, 417, 287, 169, 81, 28, 3, 0, 0, 4, 4, 2, 0, 0, 0, 2, 9, 15, 21, 23, 22, 17, 11, 6, 4, 4, 7, 10, 13, 17, 21, 25, 28, 28, 23, 15, 7, 2, 3, 10, 21, 31, 36, 33, 24, 13, 3, 0, 0, 5, 12, 18, 20, 19, 14, 8, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 4, 7, 9, 8, 6, 4, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 3, 4, 4, 3, 3, 2, 1, 0, 0, 0, 0, 1, 7, 14, 21, 26, 26, 23, 17, 11, 8, 7, 8, 9, 8, 5, 1, 0, 0, 4, 12, 19, 25, 25, 22, 15, 9, 5, 6, 10, 13, 12, 5, 0, 0, 18, 72, 165, 289, 426, 548, 629, 651, 610, 519, 400, 277, 171, 93, 45, 20, 9, 4, 1, 0, 0, 1, 5, 11, 15, 16, 13, 8, 2, 0, 0, 3, 9, 15, 19, 18, 14, 8, 2, 0, 0, 5, 12, 20, 25, 26, 23, 18, 12, 7, 4, 2, 1, 0, 0, 0, 0, 3, 8, 13, 17, 18, 16, 12, 6, 2, 0, 0, 0, 2, 6, 10, 13, 14, 12, 9, 4, 1, 0, 0, 0, 0, 0, 1, 3, 6, 10, 14, 16, 17, 19, 20, 18, 12, 2, 0, 0, 28, 100, 214, 353, 492, 600, 650, 632, 553, 434, 302, 181, 88, 29, 0, 0, 0, 10, 18, 18, 9, 0, 0, 12, 74, 182, 326, 480, 607, 674, 659, 564, 414, 250, 119, 59, 94, 221, 412, 623, 803, 908, 915, 826, 665, 472, 288, 143, 51, 7, 0, 1, 7, 9, 6, 2, 1, 3, 6, 8, 8, 5, 1, 0, 2, 10, 21, 30, 33, 25, 8, 0, 0, 32, 117, 249, 411, 571, 695, 754, 737, 650, 516, 365, 225, 116, 45, 9, 0, 0, 4, 6, 4, 1, 0, 0, 0, 0, 2, 3, 3, 3, 1, 0, 0, 0, 0, 2, 4, 6, 7, 6, 4, 2, 0, 0, 0, 0, 2, 3, 3, 2, 0, 0, 0, 0, 6, 12, 13, 7, 0, 0, 8, 60, 152, 274, 403, 509, 565, 558, 493, 390, 274, 169, 90, 40, 13, 2, 0, 0, 0, 3, 4, 3, 0, 0, 2, 35, 102, 202, 322, 438, 525, 561, 537, 462, 354, 238, 135, 60, 16, 0, 0, 2, 8, 10, 6, 0, 0, 5, 44, 121, 233, 366, 495, 587, 619, 579, 475, 335, 199, 107, 87, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 148, 277, 444, 608, 734, 793, 777, 693, 562, 412, 268, 151, 70, 23, 2, 0, 0, 1, 2, 3, 6, 10, 15, 17, 16, 11, 5, 0, 0, 0, 3, 7, 6, 1, 0, 0, 28, 92, 191, 313, 433, 522, 556, 527, 442, 324, 203, 104, 40, 11, 8, 15, 22, 22, 16, 7, 0, 0, 0, 0, 3, 5, 6, 6, 5, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 4, 3, 2, 0, 0, 1, 5, 10, 13, 14, 12, 8, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 4, 4, 3, 1, 0, 0, 0, 1, 3, 5, 5, 5, 4, 2, 1, 2, 4, 8, 14, 19, 22, 23, 21, 18, 15, 11, 9, 7, 6, 3, 1, 0, 0, 2, 8, 15, 22, 25, 24, 18, 10, 3, 0, 0, 2, 4, 3, 0, 0, 0, 1, 10, 17, 18, 9, 0, 0, 18, 89, 212, 370, 534, 667, 737, 730, 653, 528, 386, 255, 151, 80, 38, 17, 7, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 5, 10, 15, 17, 15, 11, 6, 2, 1, 3, 6, 7, 7, 4, 2, 0, 0, 0, 2, 4, 5, 5, 4, 2, 0, 0, 0, 0, 7, 16, 24, 30, 29, 23, 13, 5, 1, 3, 8, 13, 15, 13, 8, 3, 0, 0, 0, 1, 3, 6, 9, 12, 13, 12, 10, 6, 3, 0, 0, 1, 3, 4, 4, 3, 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, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 6, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 4, 8, 12, 13, 12, 9, 4, 1, 0, 0, 2, 4, 5, 5, 2, 0, 0, 0, 2, 7, 9, 5, 0, 0, 11, 59, 148, 274, 418, 552, 643, 670, 628, 530, 400, 268, 158, 81, 38, 18, 10, 6, 2, 0, 0, 6, 16, 26, 31, 28, 21, 13, 9, 11, 19, 28, 37, 40, 38, 32, 24, 17, 12, 9, 9, 11, 14, 14, 11, 4, 0, 0, 12, 57, 135, 238, 351, 454, 527, 558, 544, 490, 410, 315, 220, 135, 69, 27, 7, 6, 16, 27, 33, 32, 23, 11, 1, 0, 0, 5, 15, 26, 32, 33, 27, 17, 8, 1, 0, 3, 8, 10, 9, 4, 0, 0, 3, 12, 23, 30, 32, 26, 17, 7, 0, 0, 0, 3, 6, 6, 4, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 4, 5, 5, 3, 2, 2, 4, 9, 14, 18, 19, 15, 10, 5, 4, 7, 15, 22, 23, 16, 3, 0, 6, 54, 149, 290, 460, 629, 763, 834, 828, 746, 608, 445, 286, 156, 66, 16, 0, 0, 4, 12, 18, 24, 27, 28, 27, 24, 20, 17, 18, 22, 27, 30, 30, 25, 18, 10, 4, 0, 0, 0, 0, 0, 4, 10, 17, 23, 25, 23, 18, 11, 5, 1, 0, 0, 0, 0, 3, 7, 9, 7, 1, 0, 0, 22, 78, 168, 282, 402, 504, 567, 579, 539, 460, 359, 256, 167, 98, 51, 21, 6, 0, 0, 5, 15, 26, 34, 34, 28, 17, 7, 1, 1, 4, 4, 0, 0, 0, 33, 104, 216, 356, 497, 610, 668, 659, 587, 472, 340, 218, 123, 61, 27, 12, 7, 4, 0, 0, 0, 3, 11, 21, 29, 32, 29, 22, 13, 5, 0, 0, 0, 2, 3, 3, 1, 0, 0, 1, 4, 7, 8, 8, 5, 1, 0, 0, 4, 9, 14, 16, 14, 9, 3, 0, 0, 3, 12, 23, 30, 32, 26, 16, 6, 0, 0, 1, 5, 5, 1, 0, 0, 25, 82, 174, 291, 416, 526, 598, 619, 588, 514, 414, 307, 208, 129, 72, 34, 13, 2, 0, 0, 0, 4, 10, 22, 44, 82, 141, 223, 320, 418, 497, 536, 524, 461, 360, 245, 139, 60, 16, 1, 3, 10, 14, 12, 6, 0, 0, 0, 1, 2, 2, 0, 0, 3, 9, 17, 23, 26, 23, 17, 9, 2, 0, 0, 0, 2, 5, 5, 2, 0, 0, 7, 39, 98, 183, 283, 382, 460, 503, 503, 461, 388, 298, 207, 128, 67, 28, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 5, 9, 12, 14, 14, 12, 8, 5, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 9, 20, 31, 37, 37, 30, 20, 9, 1, 0, 0, 0, 3, 4, 4, 3, 0, 0, 0, 2, 8, 17, 26, 32, 32, 28, 20, 10, 3, 0, 0, 0, 2, 4, 5, 5, 4, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 5, 10, 16, 21, 23, 21, 14, 6, 0, 0, 11, 49, 115, 210, 325, 445, 549, 617, 635, 600, 518, 406, 286, 178, 96, 44, 20, 13, 12, 9, 1, 0, 0, 30, 96, 196, 319, 444, 547, 607, 613, 565, 475, 362, 247, 147, 72, 25, 3, 0, 1, 7, 12, 14, 13, 13, 12, 14, 16, 19, 20, 20, 16, 12, 8, 6, 9, 15, 23, 30, 32, 29, 22, 16, 12, 13, 17, 22, 24, 22, 15, 7, 0, 0, 1, 7, 15, 19, 20, 17, 12, 6, 2, 0, 0, 1, 3, 6, 8, 6, 2, 0, 0, 7, 40, 100, 186, 290, 399, 498, 574, 616, 619, 581, 506, 404, 290, 180, 91, 32, 2, 0, 0, 7, 11, 10, 6, 2, 0, 0, 0, 1, 6, 13, 21, 27, 30, 27, 20, 12, 5, 0, 0, 0, 0, 4, 9, 15, 19, 21, 19, 14, 8, 3, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 4, 4, 4, 3, 1, 0, 0, 0, 3, 7, 12, 15, 15, 13, 8, 4, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 8, 16, 23, 28, 29, 26, 19, 12, 6, 2, 0, 0, 0, 0, 2, 4, 6, 7, 7, 6, 5, 2, 0, 0, 0, 0, 1, 4, 4, 1, 0, 0, 20, 69, 153, 266, 393, 507, 581, 598, 554, 463, 346, 231, 138, 75, 41, 26, 19, 14, 8, 2, 0, 0, 0, 3, 5, 5, 3, 2, 1, 1, 3, 4, 5, 4, 2, 0, 0, 1, 5, 10, 15, 17, 16, 13, 8, 4, 3, 4, 7, 9, 10, 9, 6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 7, 17, 28, 37, 40, 36, 26, 15, 5, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 3, 5, 8, 11, 13, 12, 8, 2, 0, 0, 13, 47, 102, 177, 266, 357, 437, 494, 516, 501, 450, 374, 286, 200, 128, 75, 40, 20, 8, 2, 0, 2, 14, 38, 80, 143, 224, 319, 415, 495, 542, 543, 498, 415, 312, 209, 124, 66, 34, 22, 18, 16, 13, 7, 2, 0, 0, 0, 2, 5, 8, 10, 10, 8, 6, 5, 5, 7, 11, 14, 15, 12, 7, 1, 0, 0, 8, 19, 30, 35, 34, 26, 16, 6, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 3, 8, 14, 19, 20, 18, 14, 8, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 9, 20, 31, 39, 40, 33, 22, 10, 1, 0, 0, 4, 8, 10, 9, 6, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 3, 3, 0, 0, 0, 11, 44, 100, 177, 269, 364, 448, 509, 538, 529, 485, 413, 325, 233, 153, 92, 53, 32, 22, 15, 7, 1, 2, 22, 70, 151, 260, 385, 507, 604, 657, 655, 599, 503, 392, 295, 236, 232, 283, 375, 482, 576, 631, 633, 582, 490, 376, 263, 167, 97, 55, 36, 30, 29, 27, 21, 11, 0, 0, 2, 30, 81, 155, 244, 338, 425, 491, 528, 533, 505, 451, 379, 300, 223, 155, 102, 64, 39, 23, 12, 4, 0, 0, 1, 7, 14, 19, 21, 18, 12, 6, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 10, 33, 75, 137, 217, 307, 395, 467, 511, 519, 489, 427, 343, 252, 166, 96, 47, 17, 3, 0, 0, 0, 1, 0, 0, 0, 0, 2, 4, 6, 7, 6, 3, 0, 0, 5, 28, 73, 142, 233, 339, 447, 539, 600, 617, 584, 508, 404, 292, 192, 115, 66, 38, 23, 13, 5, 0, 3, 19, 48, 91, 146, 211, 283, 357, 426, 477, 499, 484, 433, 360, 284, 228, 207, 226, 279, 350, 423, 480, 512, 515, 488, 435, 363, 281, 199, 127, 70, 33, 12, 3, 1, 0, 0, 0, 1, 4, 8, 12, 13, 11, 8, 3, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 3, 5, 5, 5, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 8, 26, 59, 109, 177, 260, 349, 431, 493, 522, 512, 463, 383, 287, 191, 109, 50, 15, 0, 0, 0, 0, 1, 1, 2, 4, 7, 8, 8, 6, 3, 0, 0, 0, 1, 2, 3, 2, 1, 0, 0, 0, 2, 5, 8, 8, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 10, 13, 14, 13, 10, 6, 2, 0, 0, 0, 3, 8, 13, 15, 14, 7, 0, 0, 3, 29, 75, 139, 215, 293, 366, 427, 470, 489, 481, 441, 375, 289, 198, 117, 56, 21, 9, 10, 14, 15, 10, 3, 0, 0, 8, 19, 29, 33, 30, 21, 11, 2, 0, 0, 5, 12, 18, 20, 17, 11, 5, 1, 0, 1, 3, 5, 8, 15, 30, 56, 97, 150, 213, 279, 342, 392, 423, 426, 398, 341, 263, 179, 104, 50, 23, 19, 28, 38, 42, 38, 31, 25, 26, 31, 37, 40, 35, 24, 10, 0, 0, 3, 15, 28, 38, 42, 38, 29, 17, 7, 0, 0, 0, 3, 13, 29, 52, 85, 127, 178, 236, 296, 350, 390, 407, 395, 356, 293, 217, 142, 79, 34, 9, 1, 2, 6, 7, 6, 2, 0, 0, 3, 10, 19, 25, 25, 21, 14, 8, 7, 12, 21, 30, 35, 34, 27, 17, 6, 0, 0, 1, 7, 14, 19, 21, 21, 17, 12, 7, 2, 0, 0, 1, 9, 21, 32, 41, 42, 36, 26, 13, 4, 0, 0, 0, 1, 2, 3, 2, 1, 0, 0, 0, 0, 3, 8, 14, 15, 12, 8, 11, 29, 72, 144, 238, 342, 439, 511, 544, 536, 490, 421, 348, 292, 269, 288, 346, 430, 518, 587, 621, 611, 559, 479, 385, 292, 211, 145, 95, 58, 33, 18, 13, 14, 20, 24, 24, 20, 13, 6, 2, 4, 9, 15, 20, 22, 23, 22, 22, 21, 20, 17, 13, 7, 3, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 6, 11, 16, 18, 17, 12, 7, 2, 0, 0, 2, 5, 6, 4, 2, 0, 0, 3, 9, 14, 18, 18, 14, 8, 2, 0, 0, 1, 4, 7, 8, 8, 7, 7, 8, 11, 14, 18, 21, 22, 20, 15, 7, 0, 0, 1, 24, 67, 126, 196, 267, 329, 376, 404, 412, 400, 367, 317, 254, 184, 118, 64, 29, 13, 11, 16, 21, 22, 17, 10, 3, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 3, 7, 10, 11, 9, 6, 3, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 6, 5, 4, 2, 2, 2, 2, 2, 2, 2, 2, 3, 5, 6, 7, 6, 4, 2, 0, 0, 0, 1, 3, 8, 14, 20, 25, 26, 22, 15, 7, 2, 3, 10, 19, 27, 29, 26, 19, 11, 4, 0, 0, 0, 0, 3, 10, 21, 30, 35, 33, 25, 14, 6, 4, 8, 16, 23, 26, 26, 26, 27, 32, 38, 41, 40, 33, 22, 10, 1, 0, 0, 1, 7, 11, 13, 12, 9, 4, 1, 1, 5, 11, 18, 22, 22, 16, 8, 0, 0, 3, 21, 53, 100, 161, 235, 318, 405, 490, 563, 616, 641, 631, 588, 520, 443, 375, 335, 331, 363, 418, 477, 518, 528, 504, 451, 381, 308, 242, 187, 142, 103, 71, 44, 26, 20, 25, 42, 68, 104, 149, 204, 268, 335, 396, 442, 464, 459, 431, 391, 352, 325, 317, 329, 356, 394, 434, 471, 501, 517, 517, 497, 459, 411, 363, 327, 315, 331, 370, 421, 469, 498, 499, 469, 414, 345, 272, 204, 147, 103, 72, 51, 39, 33, 30, 28, 25, 20, 15, 10, 7, 8, 10, 13, 14, 13, 13, 14, 19, 25, 31, 34, 32, 25, 16, 7, 1, 0, 0, 0, 1, 4, 6, 8, 8, 7, 3, 0, 0, 0, 4, 10, 14, 15, 14, 18, 36, 73, 132, 205, 281, 345, 386, 399, 388, 360, 325, 286, 245, 200, 151, 100, 52, 16, 0, 1, 20, 50, 82, 114, 143, 174, 211, 257, 310, 363, 408, 436, 442, 428, 404, 382, 374, 388, 424, 476, 533, 582, 611, 614, 589, 540, 473, 398, 323, 255, 198, 151, 112, 78, 48, 23, 6, 0, 4, 19, 39, 57, 68, 69, 62, 49, 35, 23, 14, 8, 3, 1, 0, 0, 3, 8, 11, 13, 10, 5, 1, 2, 14, 40, 80, 130, 187, 244, 297, 340, 371, 388, 390, 379, 358, 336, 318, 315, 328, 358, 399, 441, 474, 492, 491, 474, 449, 422, 400, 386, 382, 383, 388, 394, 398, 399, 396, 384, 361, 325, 277, 220, 162, 112, 76, 57, 51, 52, 53, 49, 39, 27, 17, 14, 16, 21, 25, 25, 19, 11, 3, 0, 0, 2, 5, 7, 7, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 7, 10, 12, 11, 8, 5, 2, 0, 0, 0, 0, 1, 2, 2, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 10, 21, 32, 38, 37, 30, 19, 9, 1, 0, 0, 1, 3, 5, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 4, 6, 7, 4, 0, 0, 0, 19, 56, 110, 176, 245, 306, 351, 379, 387, 378, 354, 319, 276, 230, 186, 148, 117, 93, 74, 56, 39, 23, 9, 0, 0, 1, 8, 14, 18, 17, 12, 6, 1, 0, 0, 3, 5, 4, 3, 0, 0, 2, 6, 10, 11, 10, 5, 0, 0, 1, 9, 19, 25, 26, 21, 12, 5, 3, 9, 19, 30, 35, 33, 23, 10, 0, 0, 1, 13, 28, 44, 63, 88, 124, 175, 242, 321, 401, 471, 520, 542, 536, 505, 455, 393, 326, 260, 200, 149, 109, 77, 52, 33, 19, 16, 28, 59, 109, 177, 254, 332, 401, 454, 485, 493, 477, 439, 386, 323, 259, 199, 149, 108, 76, 50, 28, 12, 1, 0, 1, 9, 17, 21, 21, 16, 9, 3, 1, 2, 5, 7, 8, 6, 5, 6, 10, 16, 22, 26, 28, 26, 22, 18, 15, 12, 10, 7, 4, 2, 0, 0, 0, 0, 0, 2, 4, 6, 9, 14, 23, 39, 65, 101, 146, 194, 237, 268, 281, 274, 250, 216, 179, 144, 114, 90, 70, 51, 33, 18, 7, 0, 0, 0, 1, 3, 4, 3, 3, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 6, 11, 13, 13, 8, 3, 0, 5, 21, 49, 88, 134, 183, 230, 270, 300, 317, 321, 310, 287, 251, 208, 160, 115, 78, 54, 42, 40, 42, 44, 40, 32, 20, 9, 2, 0, 0, 0, 0, 0, 0, 3, 8, 17, 28, 43, 64, 97, 144, 205, 273, 338, 388, 414, 412, 387, 350, 314, 290, 286, 302, 330, 363, 391, 408, 411, 403, 386, 363, 335, 303, 267, 225, 181, 137, 98, 68, 48, 37, 36, 42, 57, 83, 122, 175, 238, 303, 363, 409, 438, 449, 443, 424, 395, 356, 308, 253, 194, 137, 88, 53, 34, 26, 27, 28, 27, 22, 16, 11, 9, 11, 14, 17, 17, 14, 9, 4, 0, 0, 0, 2, 9, 17, 23, 26, 24, 18, 11, 8, 14, 34, 68, 116, 174, 235, 294, 343, 377, 391, 388, 371, 350, 331, 322, 325, 339, 361, 386, 408, 426, 437, 442, 440, 431, 416, 397, 376, 359, 350, 350, 361, 378, 396, 407, 405, 387, 354, 309, 257, 205, 156, 114, 82, 60, 49, 47, 51, 56, 56, 50, 38, 25, 15, 13, 19, 27, 35, 36, 30, 22, 17, 23, 44, 79, 127, 180, 234, 282, 320, 345, 358, 358, 347, 328, 300, 264, 221, 172, 121, 73, 33, 7, 0, 0, 11, 24, 32, 33, 26, 16, 6, 0, 0, 4, 10, 14, 15, 12, 7, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 4, 6, 7, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 1, 4, 6, 7, 6, 5, 2, 0, 0, 1, 3, 6, 7, 7, 5, 3, 2, 1, 0, 0, 0, 0, 0, 5, 13, 21, 26, 27, 23, 15, 7, 1, 0, 0, 1, 4, 6, 6, 4, 2, 0, 0, 0, 5, 11, 18, 21, 20, 14, 6, 0, 0, 3, 11, 20, 28, 34, 44, 65, 102, 159, 230, 304, 369, 412, 427, 414, 381, 339, 296, 260, 231, 206, 181, 152, 121, 89, 64, 50, 52, 71, 103, 145, 190, 236, 278, 315, 345, 366, 379, 383, 383, 380, 378, 377, 378, 380, 381, 384, 387, 391, 394, 394, 387, 370, 343, 306, 262, 214, 167, 123, 84, 51, 27, 9, 0, 0, 3, 14, 29, 44, 54, 57, 51, 39, 24, 12, 6, 6, 10, 15, 18, 16, 10, 4, 0, 0, 0, 6, 11, 15, 16, 13, 9, 4, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 8, 9, 8, 6, 3, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 7, 15, 23, 27, 25, 19, 10, 2, 0, 1, 10, 24, 42, 62, 85, 113, 144, 178, 210, 237, 256, 263, 259, 246, 228, 206, 181, 154, 123, 90, 58, 31, 13, 7, 11, 24, 42, 63, 88, 118, 155, 197, 242, 285, 319, 342, 352, 353, 351, 352, 361, 379, 408, 444, 483, 520, 551, 572, 582, 579, 564, 538, 504, 468, 434, 408, 394, 391, 397, 407, 416, 423, 426, 428, 431, 436, 442, 448, 452, 452, 450, 447, 445, 445, 449, 455, 463, 470, 473, 472, 464, 454, 443, 434, 430, 429, 424, 410, 380, 334, 277, 216, 162, 122, 97, 83, 73, 62, 47, 30, 16, 7, 6, 10, 16, 19, 19, 16, 15, 19, 31, 51, 77, 103, 128, 150, 167, 180, 190, 199, 205, 208, 208, 202, 191, 174, 154, 134, 114, 95, 79, 63, 47, 32, 18, 7, 1, 0, 0, 1, 2, 2, 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, 1, 3, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 9, 12, 14, 13, 9, 4, 0, 0, 0, 5, 12, 20, 26, 28, 25, 17, 8, 0, 0, 3, 17, 38, 63, 87, 107, 122, 132, 143, 158, 179, 206, 236, 265, 285, 293, 285, 262, 228, 189, 150, 118, 94, 76, 63, 51, 37, 24, 11, 2, 0, 0, 2, 5, 6, 4, 1, 0, 0, 4, 10, 16, 20, 22, 22, 22, 23, 25, 28, 29, 28, 22, 15, 8, 4, 3, 4, 6, 8, 10, 15, 23, 34, 48, 60, 69, 72, 73, 77, 88, 112, 147, 188, 226, 254, 269, 271, 268, 266, 270, 281, 299, 318, 335, 349, 361, 372, 383, 396, 409, 420, 427, 428, 422, 411, 396, 384, 379, 384, 398, 413, 421, 412, 384, 336, 279, 225, 183, 157, 145, 138, 126, 105, 75, 43, 16, 4, 6, 21, 40, 54, 61, 58, 48, 37, 28, 22, 19, 17, 16, 15, 14, 12, 10, 8, 6, 4, 1, 0, 0, 0, 2, 4, 7, 8, 8, 7, 4, 1, 0, 0, 1, 3, 6, 7, 8, 9, 10, 11, 14, 17, 18, 16, 11, 5, 0, 0, 1, 8, 16, 22, 25, 23, 17, 10, 4, 0, 0, 0, 0, 1, 3, 5, 8, 9, 10, 8, 6, 3, 1, 0, 0, 0, 0, 0, 2, 5, 8, 10, 10, 8, 5, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 5, 7, 7, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 3, 6, 10, 13, 15, 17, 19, 21, 25, 30, 35, 43, 53, 69, 91, 119, 149, 177, 200, 216, 224, 228, 228, 227, 223, 215, 202, 182, 157, 129, 101, 75, 52, 32, 17, 7, 2, 0, 0, 0, 0, 0, 0, 1, 6, 12, 18, 21, 21, 16, 10, 4, 1, 0, 2, 5, 7, 7, 4, 1, 0, 0, 3, 11, 23, 33, 38, 37, 29, 18, 8, 0, 0, 0, 2, 4, 3, 1, 0, 0, 5, 19, 38, 58, 76, 87, 92, 94, 97, 106, 123, 147, 176, 204, 227, 239, 239, 227, 205, 177, 148, 121, 98, 81, 68, 59, 53, 49, 43, 37, 28, 19, 10, 4, 0, 0, 1, 3, 4, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 7, 12, 16, 18, 16, 12, 6, 2, 0, 0, 0, 0, 2, 3, 5, 8, 9, 9, 8, 4, 1, 0, 2, 7, 15, 23, 32, 43, 59, 82, 113, 150, 188, 222, 250, 273, 293, 315, 339, 365, 388, 403, 407, 400, 384, 364, 347, 338, 340, 352, 371, 393, 409, 417, 413, 401, 387, 375, 370, 372, 379, 384, 384, 377, 363, 343, 319, 292, 263, 236, 213, 198, 190, 189, 191, 193, 192, 191, 193, 204, 223, 249, 277, 302, 321, 333, 340, 346, 350, 348, 338, 316, 285, 249, 213, 183, 160, 142, 125, 107, 87, 67, 52, 44, 42, 44, 47, 47, 43, 37, 30, 26, 25, 25, 26, 25, 21, 14, 7, 1, 0, 1, 6, 13, 17, 17, 14, 9, 6, 6, 12, 20, 27, 30, 27, 22, 17, 15, 16, 20, 22, 20, 14, 6, 0, 0, 3, 11, 19, 24, 24, 18, 10, 3, 0, 0, 3, 7, 10, 10, 8, 5, 2, 3, 7, 12, 17, 19, 18, 14, 8, 3, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 5, 12, 20, 25, 26, 22, 16, 8, 2, 0, 0, 0, 2, 5, 9, 12, 14, 14, 12, 9, 5, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 6, 6, 4, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 6, 12, 18, 21, 20, 15, 8, 2, 0, 0, 1, 3, 4, 3, 1, 0, 0, 2, 6, 10, 11, 11, 8, 5, 2, 2, 3, 5, 7, 7, 5, 2, 0, 0, 0, 5, 15, 25, 33, 36, 31, 22, 13, 10, 15, 29, 46, 62, 73, 77, 79, 82, 91, 109, 136, 169, 202, 231, 253, 266, 267, 258, 238, 212, 182, 154, 131, 117, 110, 106, 103, 95, 83, 68, 52, 40, 32, 28, 25, 21, 15, 9, 4, 3, 6, 13, 19, 22, 21, 16, 9, 3, 0, 0, 0, 1, 1, 0, 0, 0, 3, 8, 12, 14, 14, 11, 6, 2, 0, 0, 3, 6, 10, 11, 11, 8, 4, 0, 0, 0, 4, 12, 22, 31, 34, 32, 24, 14, 4, 0, 0, 2, 9, 16, 21, 23, 22, 19, 16, 14, 15, 21, 31, 45, 64, 84, 106, 128, 149, 172, 197, 225, 257, 291, 325, 357, 384, 406, 418, 421, 413, 395, 371, 347, 327, 316, 313, 316, 318, 316, 310, 298, 285, 272, 257, 241, 222, 199, 176, 156, 144, 139, 142, 149, 159, 171, 186, 205, 228, 252, 274, 288, 294, 289, 277, 259, 239, 218, 196, 174, 151, 130, 111, 96, 84, 75, 67, 58, 49, 40, 33, 28, 25, 24, 24, 23, 21, 19, 17, 16, 16, 15, 15, 14, 15, 17, 22, 28, 35, 41, 45, 48, 53, 60, 73, 89, 106, 120, 128, 130, 127, 125, 128, 138, 154, 171, 183, 187, 179, 159, 130, 96, 64, 38, 22, 16, 18, 24, 29, 29, 23, 14, 5, 0, 0, 3, 7, 11, 11, 9, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 8, 10, 11, 13, 16, 23, 35, 50, 67, 86, 105, 126, 149, 171, 192, 208, 218, 221, 220, 215, 209, 201, 188, 170, 147, 120, 93, 71, 54, 43, 37, 32, 29, 25, 21, 17, 13, 10, 7, 4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 4, 7, 8, 4, 0, 0, 0, 17, 45, 80, 112, 134, 142, 139, 132, 132, 145, 170, 202, 233, 255, 265, 268, 268, 272, 281, 294, 305, 310, 306, 294, 280, 268, 262, 261, 261, 256, 242, 217, 184, 151, 125, 110, 107, 113, 124, 134, 142, 149, 159, 172, 192, 216, 240, 259, 269, 269, 261, 250, 240, 234, 229, 221, 205, 180, 146, 112, 83, 65, 58, 57, 56, 50, 38, 22, 10, 6, 11, 25, 44, 65, 84, 103, 124, 146, 170, 193, 213, 229, 239, 246, 249, 250, 247, 241, 230, 215, 200, 186, 175, 164, 151, 132, 107, 77, 48, 24, 10, 6, 11, 18, 25, 28, 27, 23, 18, 13, 9, 6, 5, 3, 1, 0, 0, 0, 3, 9, 17, 24, 28, 28, 23, 15, 7, 1, 0, 0, 5, 10, 14, 15, 12, 8, 4, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 3, 10, 18, 24, 27, 24, 18, 10, 3, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 9, 10, 10, 7, 3, 0, 0, 0, 3, 8, 13, 15, 15, 11, 7, 2, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 8, 6, 4, 2, 0, 0, 0, 0, 1, 3, 2, 1, 0, 0, 1, 10, 25, 42, 55, 60, 54, 41, 28, 24, 36, 63, 101, 140, 169, 185, 190, 188, 190, 198, 211, 224, 229, 221, 202, 177, 153, 135, 122, 111, 97, 78, 54, 30, 12, 5, 7, 14, 23, 27, 25, 19, 11, 4, 0, 0, 0, 0, 2, 5, 7, 9, 9, 7, 3, 0, 0, 0, 6, 13, 19, 23, 22, 17, 10, 4, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 4, 4, 3, 2, 0, 0, 1, 4, 8, 10, 11, 10, 6, 2, 0, 0, 4, 15, 30, 49, 69, 88, 106, 122, 136, 148, 160, 170, 182, 196, 213, 231, 245, 250, 242, 221, 190, 156, 125, 104, 91, 85, 81, 75, 65, 52, 40, 31, 25, 23, 21, 19, 15, 10, 5, 0, 0, 0, 2, 9, 18, 25, 28, 26, 19, 10, 3, 1, 4, 10, 15, 17, 14, 8, 1, 0, 0, 9, 25, 44, 61, 72, 76, 75, 72, 73, 81, 96, 118, 143, 168, 191, 210, 225, 234, 237, 235, 229, 220, 209, 197, 182, 165, 144, 122, 102, 87, 77, 71, 66, 59, 50, 39, 29, 25, 26, 32, 40, 46, 47, 43, 39, 38, 46, 66, 97, 137, 178, 215, 244, 263, 273, 277, 278, 279, 282, 287, 294, 305, 317, 329, 340, 345, 345, 338, 325, 309, 292, 276, 261, 248, 236, 224, 210, 195, 179, 165, 154, 151, 157, 170, 190, 211, 229, 240, 244, 242, 237, 232, 230, 233, 239, 246, 252, 252, 246, 233, 214, 192, 169, 150, 138, 133, 134, 137, 140, 141, 142, 147, 160, 184, 217, 250, 274, 281, 268, 239, 202, 169, 147, 137, 136, 135, 128, 111, 87, 63, 46, 39, 41, 46, 48, 43, 31, 17, 5, 0, 0, 6, 13, 19, 22, 23, 24, 25, 25, 24, 21, 17, 13, 10, 9, 9, 9, 8, 6, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 2, 3, 3, 2, 2, 1, 1, 0, 0, 0, 0, 1, 5, 11, 17, 22, 22, 19, 13, 6, 1, 0, 0, 2, 6, 11, 14, 16, 16, 15, 13, 12, 12, 11, 10, 8, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 9, 12, 14, 14, 14, 12, 11, 9, 7, 4, 1, 0, 0, 2, 7, 12, 15, 15, 12, 7, 4, 2, 4, 6, 8, 8, 6, 3, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 6, 16, 28, 39, 46, 50, 51, 55, 65, 85, 111, 138, 160, 172, 175, 173, 172, 179, 194, 213, 230, 235, 226, 205, 180, 160, 152, 154, 163, 169, 165, 151, 133, 121, 121, 137, 163, 188, 202, 200, 184, 162, 144, 139, 146, 160, 172, 172, 159, 135, 107, 83, 69, 67, 72, 79, 82, 78, 68, 54, 40, 28, 19, 13, 9, 6, 3, 1, 0, 0, 0, 0, 3, 6, 10, 14, 17, 22, 27, 35, 43, 50, 55, 55, 53, 52, 55, 67, 88, 115, 143, 165, 177, 177, 166, 150, 131, 112, 97, 85, 77, 74, 76, 80, 83, 83, 76, 63, 45, 26, 11, 1, 0, 0, 2, 6, 10, 11, 12, 11, 8, 5, 3, 1, 0, 0, 0, 0, 1, 3, 7, 12, 17, 23, 27, 29, 29, 26, 21, 15, 11, 9, 11, 16, 23, 33, 44, 60, 79, 103, 129, 155, 178, 195, 205, 211, 213, 213, 211, 205, 193, 177, 157, 138, 124, 117, 119, 127, 138, 148, 154, 154, 149, 138, 125, 113, 107, 111, 123, 143, 163, 178, 183, 179, 169, 157, 147, 140, 134, 125, 111, 96, 82, 72, 67, 65, 62, 54, 41, 25, 10, 1, 0, 2, 7, 10, 10, 7, 3, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 5, 5, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 3, 10, 19, 26, 29, 26, 19, 10, 3, 0, 0, 1, 2, 3, 2, 1, 0, 0, 0, 0, 0, 0, 2, 5, 7, 9, 8, 4, 0, 0, 1, 9, 21, 34, 45, 49, 47, 43, 40, 41, 47, 57, 67, 78, 88, 102, 121, 146, 174, 201, 220, 228, 224, 212, 197, 183, 175, 170, 167, 162, 152, 138, 120, 98, 74, 52, 35, 24, 23, 28, 39, 47, 50, 45, 33, 18, 6, 0, 0, 5, 12, 18, 20, 20, 19, 18, 19, 21, 22, 23, 22, 21, 18, 16, 12, 8, 3, 0, 1, 8, 23, 45, 74, 105, 134, 156, 169, 173, 171, 169, 172, 184, 205, 230, 257, 281, 301, 317, 331, 343, 352, 356, 355, 349, 344, 342, 345, 352, 359, 364, 363, 357, 352, 350, 354, 364, 378, 392, 401, 405, 400, 389, 374, 358, 346, 342, 346, 357, 369, 377, 377, 371, 361, 350, 340, 329, 314, 292, 265, 239, 220, 214, 220, 233, 246, 251, 247, 237, 228, 224, 227, 232, 235, 234, 230, 229, 235, 251, 271, 288, 291, 276, 246, 210, 180, 164, 165, 176, 188, 191, 181, 163, 145, 134, 137, 152, 174, 197, 213, 221, 221, 216, 209, 203, 198, 196, 193, 187, 179, 166, 150, 135, 124, 117, 115, 113, 107, 95, 78, 58, 41, 31, 30, 34, 41, 48, 52, 56, 59, 61, 59, 51, 39, 25, 16, 19, 37, 65, 97, 124, 137, 134, 120, 102, 91, 90, 99, 114, 126, 130, 125, 114, 104, 101, 109, 124, 140, 150, 149, 140, 127, 118, 119, 132, 152, 173, 189, 195, 193, 185, 175, 167, 161, 160, 163, 170, 178, 183, 184, 178, 164, 146, 126, 112, 105, 108, 117, 129, 140, 147, 148, 146, 142, 139, 140, 144, 149, 152, 149, 137, 117, 93, 71, 54, 48, 49, 55, 61, 62, 56, 47, 38, 33, 36, 47, 61, 75, 84, 86, 84, 80, 78, 81, 88, 98, 108, 116, 123, 130, 138, 149, 160, 170, 177, 179, 176, 169, 161, 152, 143, 135, 127, 121, 116, 112, 108, 103, 95, 85, 70, 54, 37, 22, 11, 3, 0, 0, 0, 0, 2, 4, 5, 6, 6, 6, 6, 8, 13, 19, 27, 31, 32, 27, 19, 9, 2, 0, 0, 3, 7, 10, 10, 7, 3, 0, 0, 0, 3, 7, 10, 11, 9, 7, 3, 1, 0, 0, 0, 0, 0, 0, 1, 3, 3, 4, 4, 7, 12, 20, 30, 40, 49, 56, 64, 74, 88, 107, 127, 144, 152, 149, 135, 117, 99, 87, 84, 89, 100, 110, 118, 119, 115, 105, 91, 74, 57, 41, 28, 20, 16, 17, 20, 21, 20, 16, 11, 5, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 6, 16, 27, 34, 36, 32, 22, 11, 3, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 7, 17, 27, 35, 37, 32, 22, 15, 17, 32, 60, 94, 125, 146, 153, 148, 140, 136, 143, 158, 175, 187, 188, 175, 153, 132, 118, 116, 123, 134, 141, 138, 123, 100, 75, 56, 47, 47, 52, 58, 60, 56, 47, 36, 26, 18, 12, 7, 3, 0, 0, 2, 7, 13, 16, 16, 12, 6, 2, 0, 1, 4, 7, 8, 7, 4, 1, 0, 0, 0, 1, 3, 3, 2, 0, 0, 0, 0, 4, 7, 10, 10, 8, 5, 2, 0, 1, 1, 2, 0, 0, 0, 2, 11, 22, 31, 33, 26, 15, 7, 8, 22, 49, 79, 106, 121, 124, 120, 115, 116, 125, 141, 158, 175, 189, 202, 215, 229, 244, 257, 265, 267, 263, 257, 250, 245, 244, 246, 251, 257, 261, 260, 251, 233, 206, 177, 150, 132, 126, 128, 132, 129, 116, 91, 60, 32, 14, 8, 11, 18, 23, 21, 14, 6, 1, 2, 7, 14, 19, 20, 17, 11, 5, 1, 0, 0, 0, 1, 4, 10, 17, 24, 30, 34, 37, 40, 43, 48, 53, 57, 60, 61, 61, 62, 65, 71, 80, 91, 103, 113, 119, 120, 115, 106, 97, 88, 82, 78, 74, 69, 63, 58, 55, 55, 59, 63, 65, 61, 51, 36, 22, 10, 4, 2, 2, 3, 2, 1, 1, 3, 8, 13, 18, 19, 17, 13, 7, 1, 0, 0, 0, 5, 9, 13, 15, 14, 13, 12, 13, 17, 22, 27, 32, 36, 40, 45, 54, 65, 79, 91, 102, 108, 111, 113, 115, 118, 122, 126, 126, 122, 112, 100, 87, 78, 74, 74, 77, 79, 75, 66, 52, 35, 19, 6, 0, 0, 0, 3, 7, 9, 9, 7, 4, 0, 0, 0, 5, 12, 20, 25, 25, 20, 13, 5, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 6, 18, 36, 56, 76, 91, 99, 99, 93, 84, 78, 78, 85, 98, 114, 127, 133, 130, 120, 106, 93, 84, 82, 85, 88, 88, 83, 73, 63, 54, 49, 46, 45, 42, 36, 27, 17, 8, 2, 0, 0, 0, 2, 4, 5, 6, 6, 5, 3, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 4, 8, 11, 13, 12, 8, 4, 0, 0, 0, 1, 2, 2, 0, 0, 0, 4, 14, 29, 44, 58, 70, 80, 90, 102, 118, 136, 154, 171, 183, 191, 196, 200, 203, 206, 212, 222, 235, 251, 269, 286, 298, 304, 305, 303, 300, 299, 302, 307, 314, 321, 328, 335, 343, 351, 355, 353, 341, 316, 284, 250, 224, 211, 213, 224, 234, 233, 216, 187, 155, 130, 119, 124, 138, 155, 168, 176, 179, 179, 178, 177, 175, 172, 171, 172, 176, 181, 184, 181, 172, 159, 145, 135, 129, 127, 122, 114, 100, 85, 72, 66, 66, 69, 72, 72, 68, 63, 62, 68, 82, 101, 121, 136, 142, 140, 132, 122, 118, 123, 138, 162, 191, 218, 239, 251, 254, 253, 253, 258, 270, 285, 298, 303, 295, 277, 254, 236, 231, 242, 264, 288, 300, 292, 264, 223, 183, 154, 145, 152, 170, 188, 202, 208, 212, 218, 230, 247, 265, 278, 280, 272, 257, 243, 237, 246, 269, 302, 336, 362, 372, 364, 343, 315, 292, 279, 279, 287, 296, 298, 291, 273, 250, 229, 213, 205, 203, 204, 202, 197, 187, 176, 166, 159, 156, 155, 153, 149, 141, 129, 114, 100, 90, 84, 83, 85, 88, 91, 93, 94, 95, 97, 100, 103, 105, 105, 102, 95, 84, 69, 51, 33, 20, 13, 14, 21, 31, 37, 37, 31, 20, 9, 1, 0, 0, 2, 2, 1, 0, 0, 5, 18, 35, 51, 62, 64, 57, 45, 34, 29, 31, 39, 49, 55, 55, 50, 44, 41, 44, 52, 64, 73, 79, 80, 79, 81, 86, 95, 103, 104, 96, 78, 54, 29, 10, 0, 0, 1, 6, 9, 8, 5, 2, 0, 0, 0, 2, 5, 7, 8, 8, 7, 7, 8, 9, 11, 14, 17, 21, 28, 38, 51, 68, 86, 104, 120, 133, 144, 151, 158, 166, 176, 189, 206, 225, 246, 264, 278, 289, 296, 302, 308, 314, 320, 325, 329, 331, 332, 331, 329, 324, 316, 305, 292, 282, 276, 276, 282, 289, 294, 290, 276, 252, 220, 186, 155, 134, 124, 123, 127, 127, 119, 100, 75, 49, 31, 28, 37, 55, 70, 77, 70, 53, 33, 17, 10, 11, 17, 24, 30, 36, 45, 58, 74, 88, 95, 91, 78, 63, 55, 59, 78, 106, 134, 153, 159, 152, 139, 126, 123, 130, 144, 160, 169, 165, 149, 124, 99, 81, 75, 80, 92, 102, 103, 91, 68, 41, 18, 3, 0, 2, 8, 11, 10, 6, 2, 0, 0, 1, 3, 5, 4, 3, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 9, 20, 34, 48, 59, 63, 61, 56, 51, 51, 57, 68, 80, 91, 102, 116, 134, 160, 190, 216, 233, 234, 221, 203, 188, 186, 197, 216, 231, 235, 225, 206, 189, 184, 194, 216, 236, 243, 229, 197, 155, 117, 91, 81, 83, 87, 89, 85, 79, 74, 74, 77, 80, 76, 64, 45, 25, 9, 0, 0, 0, 1, 3, 2, 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, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 5, 8, 9, 9, 6, 3, 0, 0, 1, 4, 6, 7, 6, 4, 2, 0, 0, 0, 0, 0, 0, 2, 5, 10, 13, 14, 12, 8, 2, 0, 0, 2, 9, 16, 22, 24, 22, 17, 11, 8, 8, 11, 16, 21, 23, 21, 16, 9, 3, 0, 0, 1, 6, 13, 17, 19, 18, 13, 7, 2, 0, 0, 2, 8, 15, 19, 20, 16, 11, 5, 2, 1, 3, 6, 6, 4, 1, 0, 1, 6, 14, 20, 22, 19, 12, 4, 0, 0, 5, 14, 22, 27, 25, 20, 12, 5, 0, 0, 0, 0, 0, 1, 4, 8, 12, 15, 15, 13, 8, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 7, 9, 9, 7, 4, 2, 2, 3, 5, 5, 3, 1, 0, 4, 13, 23, 32, 35, 31, 22, 12, 3, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 3, 5, 6, 5, 2, 0, 0, 1, 5, 11, 17, 19, 18, 13, 8, 3, 0, 0, 0, 0, 2, 6, 11, 19, 29, 37, 43, 44, 39, 28, 16, 5, 0, 2, 13, 33, 56, 79, 96, 105, 105, 99, 93, 89, 91, 99, 110, 120, 126, 129, 129, 130, 133, 139, 148, 159, 171, 182, 190, 195, 195, 190, 181, 173, 168, 169, 176, 185, 194, 199, 200, 198, 196, 195, 193, 191, 185, 178, 172, 173, 182, 197, 212, 223, 226, 221, 214, 209, 209, 214, 220, 225, 226, 223, 220, 217, 217, 218, 222, 228, 237, 252, 270, 287, 299, 302, 296, 287, 280, 284, 300, 322, 344, 356, 356, 345, 330, 319, 317, 325, 340, 354, 365, 371, 373, 372, 372, 373, 375, 377, 380, 381, 381, 377, 370, 361, 351, 344, 341, 341, 343, 345, 344, 341, 338, 339, 344, 350, 353, 349, 336, 316, 294, 276, 265, 261, 261, 261, 258, 253, 248, 247, 250, 254, 255, 251, 240, 224, 209, 198, 193, 193, 196, 198, 196, 190, 184, 180, 181, 188, 199, 210, 217, 216, 208, 195, 180, 168, 160, 155, 152, 148, 141, 131, 118, 104, 93, 86, 88, 100, 120, 147, 175, 197, 212, 217, 217, 217, 218, 223, 227, 228, 224, 218, 214, 217, 228, 246, 266, 281, 291, 296, 300, 305, 310, 313, 311, 303, 289, 276, 267, 265, 267, 268, 263, 251, 234, 214, 195, 180, 170, 162, 156, 152, 150, 150, 149, 145, 135, 120, 103, 89, 84, 88, 98, 106, 107, 96, 75, 48, 23, 5, 0, 0, 7, 19, 32, 43, 50, 51, 47, 39, 28, 16, 7, 1, 0, 1, 4, 8, 10, 10, 7, 3, 0, 0, 0, 6, 13, 19, 22, 20, 14, 6, 1, 0, 1, 5, 10, 12, 11, 7, 2, 0, 0, 2, 8, 15, 21, 23, 20, 15, 8, 1, 0, 0, 2, 9, 16, 22, 24, 22, 16, 10, 4, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 4, 5, 4, 2, 1, 0, 0, 2, 4, 6, 6, 4, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 3, 5, 6, 6, 5, 3, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 3, 6, 8, 9, 8, 5, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 4, 6, 7, 5, 1, 0, 0, 5, 16, 28, 37, 38, 30, 17, 4, 0, 3, 20, 45, 70, 89, 97, 93, 81, 67, 56, 51, 51, 54, 58, 63, 70, 83, 100, 121, 139, 150, 151, 145, 135, 128, 130, 139, 153, 165, 171, 167, 157, 145, 136, 132, 134, 137, 136, 130, 117, 100, 84, 73, 67, 68, 73, 81, 88, 96, 105, 114, 122, 129, 132, 130, 124, 117, 111, 110, 113, 120, 127, 131, 133, 132, 131, 134, 140, 151, 163, 172, 174, 168, 153, 135, 118, 106, 100, 100, 102, 103, 102, 98, 94, 91, 90, 90, 89, 88, 85, 82, 81, 81, 80, 76, 66, 50, 32, 15, 3, 0, 0, 2, 4, 5, 3, 0, 0, 0, 2, 5, 6, 4, 2, 0, 0, 1, 4, 8, 10, 9, 7, 4, 1, 0, 0, 0, 0, 0, 1, 2, 3, 5, 5, 4, 3, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 7, 8, 8, 6, 3, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 6, 15, 25, 33, 36, 34, 27, 17, 8, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 3, 8, 12, 14, 14, 11, 7, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 2, 6, 12, 17, 21, 20, 17, 12, 8, 9, 16, 27, 41, 54, 66, 77, 88, 101, 114, 125, 132, 130, 121, 106, 90, 77, 70, 69, 74, 84, 99, 120, 146, 174, 199, 216, 221, 214, 200, 184, 173, 169, 173, 180, 189, 195, 198, 198, 197, 195, 195, 195, 198, 202, 210, 220, 230, 238, 243, 242, 236, 228, 220, 216, 216, 221, 226, 231, 233, 233, 232, 233, 236, 240, 239, 231, 213, 190, 168, 153, 151, 159, 173, 185, 188, 180, 163, 142, 121, 104, 92, 86, 84, 86, 90, 92, 90, 83, 70, 57, 47, 45, 49, 56, 61, 58, 48, 33, 18, 10, 9, 15, 23, 30, 32, 30, 27, 27, 30, 38, 48, 56, 59, 56, 50, 44, 43, 51, 67, 85, 98, 100, 88, 68, 47, 36, 42, 64, 94, 124, 141, 143, 131, 112, 97, 91, 97, 112, 129, 140, 143, 135, 120, 100, 81, 66, 58, 55, 57, 62, 67, 71, 74, 76, 77, 78, 78, 78, 77, 75, 71, 64, 53, 41, 28, 16, 9, 5, 7, 11, 17, 21, 23, 21, 17, 12, 8, 4, 3, 2, 2, 1, 0, 0, 3, 11, 24, 40, 56, 68, 74, 73, 67, 57, 48, 44, 47, 57, 73, 90, 104, 111, 108, 97, 82, 67, 58, 57, 63, 73, 82, 86, 83, 74, 63, 54, 52, 57, 65, 72, 74, 67, 54, 40, 28, 22, 22, 25, 27, 25, 19, 13, 9, 10, 17, 26, 33, 37, 34, 27, 18, 10, 3, 0, 0, 0, 4, 12, 21, 30, 34, 33, 26, 16, 7, 0, 0, 0, 2, 4, 3, 0, 0, 0, 5, 16, 27, 34, 35, 28, 18, 8, 2, 3, 9, 14, 17, 16, 11, 5, 0, 0, 0, 0, 3, 8, 16, 25, 36, 48, 60, 71, 81, 88, 90, 86, 76, 64, 55, 53, 60, 74, 93, 111, 123, 130, 132, 132, 132, 135, 139, 141, 140, 137, 133, 131, 133, 140, 150, 161, 169, 172, 170, 166, 165, 169, 181, 197, 213, 223, 221, 209, 190, 171, 159, 155, 159, 164, 165, 158, 145, 129, 116, 110, 112, 118, 127, 133, 135, 132, 124, 111, 95, 78, 64, 55, 54, 60, 70, 81, 89, 94, 96, 96, 95, 93, 90, 87, 84, 84, 86, 92, 98, 101, 99, 92, 83, 75, 72, 73, 77, 80, 78, 73, 66, 62, 63, 70, 79, 86, 89, 88, 83, 78, 77, 80, 84, 88, 89, 85, 77, 65, 51, 37, 24, 15, 12, 17, 30, 45, 58, 64, 58, 42, 22, 5, 0, 2, 15, 32, 46, 51, 49, 41, 35, 34, 41, 52, 62, 63, 53, 32, 10, 0, 0, 23, 62, 104, 134, 142, 129, 100, 70, 51, 48, 57, 71, 79, 77, 67, 57, 54, 62, 77, 95, 106, 108, 98, 83, 67, 56, 55, 64, 80, 98, 111, 116, 110, 97, 83, 74, 74, 83, 97, 107, 110, 104, 96, 95, 107, 132, 164, 188, 194, 176, 140, 97, 63, 51, 64, 97, 138, 173, 193, 193, 177, 149, 117, 89, 70, 60, 60, 66, 72, 76, 75, 70, 64, 62, 66, 76, 91, 103, 108, 103, 88, 65, 40, 19, 4, 0, 0, 6, 13, 18, 19, 16, 11, 6, 3, 3, 5, 7, 8, 7, 5, 2, 0, 0, 0, 0, 2, 4, 5, 5, 5, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 4, 8, 12, 14, 13, 10, 6, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 8, 18, 27, 32, 30, 22, 12, 4, 4, 12, 26, 39, 46, 44, 35, 25, 19, 21, 31, 45, 58, 66, 67, 65, 63, 62, 64, 65, 63, 58, 51, 43, 37, 36, 39, 44, 51, 59, 66, 71, 75, 74, 69, 61, 53, 48, 48, 54, 64, 74, 80, 80, 73, 63, 50, 38, 31, 28, 31, 37, 43, 44, 40, 30, 18, 9, 7, 12, 22, 32, 36, 33, 23, 12, 3, 0, 0, 0, 1, 0, 0, 1, 4, 10, 17, 21, 21, 15, 7, 0, 0, 2, 14, 32, 50, 64, 72, 73, 68, 62, 57, 54, 53, 55, 59, 66, 75, 84, 91, 94, 93, 88, 84, 85, 96, 116, 142, 166, 182, 186, 177, 162, 148, 143, 150, 169, 192, 214, 228, 235, 235, 232, 230, 229, 225, 214, 196, 172, 152, 143, 152, 180, 218, 254, 276, 276, 255, 222, 188, 166, 159, 165, 176, 181, 175, 156, 129, 101, 81, 73, 78, 91, 107, 119, 123, 117, 103, 85, 69, 57, 50, 48, 46, 43, 40, 36, 37, 42, 51, 61, 67, 66, 56, 41, 24, 10, 1, 0, 0, 0, 5, 10, 15, 20, 22, 23, 22, 21, 20, 20, 19, 18, 15, 9, 4, 0, 0, 1, 7, 15, 20, 20, 15, 8, 1, 0, 5, 13, 21, 23, 20, 13, 9, 11, 22, 38, 51, 54, 46, 30, 14, 4, 4, 15, 29, 42, 49, 51, 51, 52, 55, 58, 60, 60, 59, 60, 67, 78, 92, 101, 100, 89, 70, 52, 41, 42, 55, 75, 93, 103, 104, 98, 90, 86, 89, 98, 110, 118, 122, 120, 117, 116, 119, 128, 138, 146, 150, 149, 144, 141, 139, 140, 142, 140, 134, 124, 113, 108, 112, 127, 151, 175, 195, 204, 203, 195, 187, 185, 191, 203, 216, 225, 226, 218, 205, 191, 181, 176, 179, 186, 195, 204, 212, 218, 222, 222, 218, 210, 196, 180, 166, 156, 155, 163, 177, 193, 204, 207, 200, 184, 164, 145, 131, 123, 119, 119, 119, 121, 122, 124, 125, 124, 118, 106, 90, 74, 62, 58, 63, 74, 85, 93, 95, 90, 79, 67, 54, 41, 31, 23, 21, 24, 32, 43, 52, 55, 50, 39, 24, 10, 1, 0, 0, 2, 4, 5, 4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 6, 10, 16, 22, 27, 29, 27, 21, 13, 5, 0, 0, 2, 8, 14, 17, 18, 15, 10, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 4, 9, 13, 17, 19, 22, 26, 34, 46, 58, 68, 70, 63, 48, 30, 15, 10, 17, 33, 52, 69, 78, 77, 71, 65, 64, 70, 82, 93, 100, 99, 90, 78, 67, 61, 60, 62, 67, 71, 75, 79, 82, 85, 87, 88, 90, 95, 103, 111, 119, 121, 116, 105, 92, 83, 80, 86, 97, 109, 116, 115, 105, 91, 76, 65, 58, 55, 54, 53, 53, 53, 56, 60, 63, 63, 57, 45, 30, 18, 14, 20, 35, 56, 76, 89, 92, 86, 72, 57, 43, 34, 32, 37, 46, 57, 66, 70, 70, 64, 58, 54, 54, 60, 70, 80, 87, 90, 89, 86, 83, 81, 79, 75, 67, 54, 38, 22, 10, 4, 3, 7, 14, 23, 35, 50, 67, 81, 90, 91, 83, 70, 56, 44, 38, 36, 37, 37, 34, 29, 21, 13, 7, 2, 0, 0, 1, 4, 7, 9, 9, 6, 3, 0, 0, 1, 6, 11, 15, 16, 14, 9, 5, 1, 0, 0, 0, 0, 0, 1, 5, 12, 18, 22, 21, 15, 8, 3, 4, 13, 26, 40, 50, 53, 49, 41, 32, 26, 24, 25, 28, 31, 36, 42, 52, 65, 77, 86, 87, 80, 68, 57, 51, 55, 68, 88, 108, 125, 138, 147, 155, 164, 172, 180, 183, 180, 171, 158, 145, 136, 134, 140, 152, 166, 177, 182, 179, 171, 159, 148, 140, 137, 137, 140, 143, 147, 154, 165, 179, 194, 206, 209, 200, 182, 158, 134, 116, 106, 102, 101, 100, 95, 88, 81, 75, 71, 67, 63, 59, 57, 58, 63, 72, 79, 82, 77, 64, 46, 29, 18, 15, 20, 29, 38, 42, 39, 31, 20, 9, 0, 0, 0, 8, 21, 35, 45, 48, 44, 33, 20, 8, 0, 0, 0, 1, 3, 5, 7, 9, 11, 13, 12, 9, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 10, 16, 20, 22, 20, 15, 9, 3, 0, 0, 0, 5, 11, 17, 20, 20, 16, 10, 3, 0, 0, 1, 5, 10, 14, 15, 15, 16, 18, 22, 25, 26, 24, 19, 14, 13, 17, 25, 32, 35, 31, 22, 14, 11, 17, 29, 44, 56, 61, 60, 56, 53, 52, 52, 49, 42, 31, 20, 15, 18, 32, 53, 75, 94, 104, 107, 104, 97, 90, 83, 76, 68, 59, 50, 41, 34, 32, 36, 45, 56, 68, 77, 82, 83, 82, 81, 82, 82, 81, 75, 66, 53, 41, 33, 28, 27, 26, 22, 15, 7, 0, 0, 6, 19, 33, 44, 46, 40, 29, 15, 5, 0, 0, 0, 3, 5, 7, 7, 6, 4, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 5, 11, 16, 18, 17, 12, 7, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 8, 8, 7, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 3, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 9, 17, 25, 30, 29, 24, 15, 5, 0, 0, 2, 9, 16, 20, 19, 15, 11, 9, 11, 17, 23, 27, 27, 21, 12, 4, 0, 0, 3, 11, 19, 26, 28, 27, 23, 17, 12, 7, 3, 0, 0, 0, 4, 11, 19, 27, 32, 34, 33, 30, 27, 23, 19, 14, 9, 4, 1, 1, 3, 7, 11, 15, 18, 20, 20, 19, 15, 11, 6, 3, 1, 1, 1, 0, 0, 0, 1, 9, 20, 32, 39, 39, 31, 19, 7, 0, 0, 4, 11, 17, 20, 19, 16, 12, 10, 9, 10, 15, 22, 33, 46, 61, 72, 78, 75, 64, 49, 35, 27, 29, 40, 59, 79, 95, 104, 104, 98, 89, 81, 74, 71, 69, 69, 73, 83, 100, 123, 148, 170, 184, 188, 183, 175, 170, 173, 184, 199, 213, 219, 214, 202, 187, 175, 170, 172, 180, 191, 202, 214, 226, 240, 256, 269, 276, 275, 264, 248, 233, 223, 222, 229, 240, 250, 254, 250, 239, 226, 213, 203, 200, 202, 211, 224, 239, 251, 258, 256, 246, 233, 221, 215, 216, 221, 225, 223, 215, 202, 194, 193, 204, 220, 234, 239, 231, 212, 189, 172, 166, 172, 184, 197, 204, 202, 193, 181, 172, 167, 168, 172, 176, 175, 167, 153, 132, 110, 90, 76, 72, 77, 89, 103, 114, 119, 117, 113, 111, 112, 116, 121, 122, 115, 102, 87, 73, 66, 66, 72, 80, 85, 87, 87, 86, 86, 88, 89, 86, 75, 59, 39, 21, 9, 8, 16, 30, 46, 60, 67, 69, 64, 57, 49, 43, 41, 44, 50, 56, 59, 57, 46, 31, 14, 2, 0, 8, 26, 50, 71, 85, 88, 77, 57, 33, 13, 4, 7, 22, 42, 59, 67, 62, 47, 28, 11, 0, 0, 0, 3, 6, 6, 4, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 3, 9, 17, 23, 26, 24, 18, 10, 4, 0, 0, 0, 0, 0, 0, 0, 4, 13, 22, 28, 30, 25, 17, 8, 1, 0, 0, 0, 2, 2, 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, 1, 2, 3, 3, 1, 0, 0, 0, 4, 14, 25, 35, 39, 35, 26, 14, 5, 0, 0, 0, 1, 2, 1, 0, 0, 0],
"peakG": [100, 104, 111, 123, 141, 161, 177, 184, 182, 176, 172, 173, 179, 187, 195, 200, 200, 197, 193, 191, 195, 204, 220, 240, 261, 280, 290, 291, 280, 259, 234, 211, 198, 199, 217, 248, 287, 327, 364, 397, 424, 447, 467, 483, 494, 498, 493, 480, 462, 445, 432, 428, 433, 445, 460, 471, 475, 471, 460, 449, 442, 443, 451, 462, 471, 475, 476, 478, 484, 497, 516, 534, 545, 543, 528, 503, 473, 446, 426, 417, 417, 423, 431, 435, 433, 423, 408, 392, 381, 379, 386, 401, 417, 427, 426, 414, 393, 369, 347, 332, 326, 324, 323, 314, 295, 263, 222, 176, 134, 102, 81, 73, 72, 74, 73, 67, 55, 41, 27, 17, 14, 18, 28, 41, 57, 75, 96, 121, 152, 189, 233, 283, 338, 397, 458, 520, 580, 633, 673, 695, 695, 673, 637, 596, 560, 532, 512, 492, 461, 413, 346, 269, 193, 131, 91, 72, 67, 66, 64, 57, 50, 45, 48, 58, 71, 84, 96, 110, 129, 162, 211, 275, 350, 424, 489, 538, 569, 584, 589, 587, 579, 565, 542, 506, 458, 401, 343, 290, 250, 225, 218, 226, 247, 277, 311, 344, 372, 393, 404, 406, 400, 389, 375, 361, 350, 344, 343, 347, 356, 369, 386, 406, 429, 454, 479, 499, 513, 523, 532, 547, 571, 605, 644, 678, 699, 699, 678, 641, 594, 544, 494, 442, 388, 329, 269, 211, 161, 122, 96, 80, 68, 58, 46, 32, 19, 9, 3, 0, 0, 0, 0, 2, 5, 9, 13, 15, 14, 10, 6, 2, 0, 0, 0, 0, 0, 0, 0, 4, 10, 17, 21, 21, 18, 12, 6, 1, 0, 0, 0, 0, 2, 3, 5, 6, 7, 7, 6, 4, 2, 0, 0, 0, 1, 5, 10, 15, 17, 16, 13, 7, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 8, 11, 11, 8, 4, 1, 1, 5, 11, 17, 21, 19, 15, 8, 2, 0, 0, 0, 0, 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, 1, 8, 22, 45, 75, 110, 149, 187, 221, 246, 257, 253, 233, 199, 158, 117, 84, 61, 50, 46, 44, 40, 33, 22, 11, 3, 0, 0, 0, 2, 2, 1, 1, 1, 5, 11, 19, 26, 31, 30, 26, 18, 10, 4, 0, 0, 0, 0, 0, 1, 3, 6, 11, 15, 16, 14, 13, 18, 37, 80, 147, 236, 334, 426, 496, 533, 535, 505, 451, 384, 312, 240, 172, 112, 63, 28, 7, 0, 0, 2, 14, 33, 65, 113, 179, 262, 357, 455, 546, 617, 659, 664, 634, 578, 512, 460, 445, 486, 591, 751, 943, 1133, 1285, 1365, 1353, 1249, 1070, 845, 612, 401, 234, 119, 51, 17, 4, 0, 0, 0, 0, 4, 11, 17, 21, 20, 16, 9, 3, 0, 0, 1, 3, 4, 4, 2, 0, 0, 0, 1, 3, 4, 3, 1, 0, 0, 0, 2, 4, 3, 0, 0, 1, 29, 93, 198, 340, 507, 675, 819, 915, 947, 909, 806, 655, 482, 313, 173, 74, 18, 0, 0, 1, 5, 5, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 3, 5, 6, 6, 5, 3, 1, 0, 0, 0, 3, 9, 16, 23, 28, 29, 26, 21, 14, 8, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 22, 66, 142, 252, 390, 539, 676, 778, 823, 802, 723, 607, 490, 410, 396, 465, 611, 808, 1016, 1192, 1296, 1307, 1221, 1053, 834, 601, 388, 218, 102, 35, 6, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 2, 0, 1, 4, 11, 19, 24, 25, 21, 14, 7, 2, 0, 0, 0, 0, 0, 0, 2, 7, 12, 16, 15, 9, 2, 0, 0, 4, 10, 9, 0, 0, 1, 57, 181, 379, 636, 911, 1155, 1317, 1364, 1288, 1106, 857, 588, 346, 170, 84, 93, 188, 345, 530, 705, 837, 901, 886, 799, 659, 493, 330, 190, 89, 26, 0, 0, 1, 10, 11, 4, 0, 0, 23, 103, 244, 442, 673, 900, 1080, 1176, 1169, 1062, 878, 655, 432, 244, 110, 32, 0, 0, 1, 5, 5, 1, 0, 0, 1, 7, 12, 14, 13, 8, 3, 0, 0, 1, 4, 7, 9, 9, 8, 6, 5, 5, 5, 5, 2, 0, 0, 0, 2, 9, 12, 8, 0, 0, 9, 78, 213, 414, 659, 908, 1113, 1232, 1242, 1141, 953, 716, 476, 270, 121, 34, 0, 0, 1, 7, 7, 3, 0, 0, 0, 0, 2, 4, 5, 5, 6, 7, 6, 4, 2, 1, 1, 2, 4, 5, 3, 0, 0, 0, 0, 8, 13, 10, 0, 0, 5, 68, 197, 394, 636, 879, 1070, 1162, 1135, 995, 779, 535, 312, 145, 43, 0, 0, 0, 9, 11, 8, 1, 0, 0, 7, 42, 105, 198, 311, 428, 526, 584, 584, 523, 409, 269, 138, 60, 74, 204, 449, 777, 1131, 1442, 1642, 1685, 1560, 1296, 953, 613, 354, 234, 276, 461, 733, 1017, 1236, 1333, 1286, 1108, 850, 580, 369, 272, 316, 494, 763, 1060, 1311, 1451, 1441, 1281, 1007, 689, 407, 235, 215, 348, 595, 885, 1138, 1287, 1296, 1168, 939, 664, 404, 200, 71, 10, 0, 0, 7, 8, 3, 0, 1, 6, 10, 11, 6, 1, 0, 4, 10, 12, 5, 0, 0, 28, 122, 284, 500, 734, 936, 1058, 1074, 981, 805, 588, 375, 201, 83, 20, 0, 0, 4, 6, 4, 1, 0, 2, 7, 12, 13, 9, 3, 0, 0, 0, 9, 16, 13, 1, 0, 0, 52, 166, 340, 548, 745, 884, 928, 868, 720, 524, 326, 165, 59, 7, 0, 0, 7, 8, 4, 0, 0, 0, 3, 5, 4, 1, 0, 0, 3, 9, 11, 6, 0, 0, 22, 91, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 210, 371, 546, 697, 788, 792, 707, 549, 360, 190, 93, 115, 278, 578, 975, 1397, 1759, 1977, 1997, 1808, 1452, 1012, 592, 286, 156, 211, 412, 685, 945, 1119, 1163, 1073, 879, 634, 392, 197, 71, 9, 0, 1, 10, 13, 8, 0, 0, 0, 0, 2, 4, 4, 2, 1, 1, 1, 2, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 2, 0, 0, 0, 0, 3, 7, 11, 12, 11, 8, 5, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 7, 14, 21, 25, 26, 23, 17, 12, 8, 5, 5, 5, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 5, 8, 12, 17, 20, 21, 20, 16, 10, 4, 0, 0, 3, 11, 23, 33, 40, 40, 35, 25, 14, 5, 0, 0, 1, 6, 13, 21, 28, 34, 36, 33, 25, 12, 0, 0, 0, 6, 21, 27, 16, 0, 0, 21, 149, 384, 710, 1070, 1383, 1569, 1579, 1414, 1118, 769, 445, 200, 54, 0, 0, 6, 16, 15, 5, 0, 0, 0, 5, 12, 14, 13, 9, 4, 2, 1, 1, 1, 0, 0, 0, 1, 4, 8, 11, 13, 11, 8, 5, 3, 4, 7, 8, 5, 0, 0, 0, 0, 15, 28, 26, 7, 0, 0, 75, 273, 589, 982, 1371, 1663, 1779, 1691, 1425, 1050, 655, 317, 84, 0, 0, 96, 279, 501, 722, 894, 975, 945, 810, 607, 386, 195, 65, 2, 0, 0, 15, 22, 18, 9, 1, 0, 0, 0, 3, 9, 16, 22, 28, 30, 28, 22, 14, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 7, 12, 16, 17, 14, 10, 5, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 3, 4, 2, 0, 0, 0, 0, 7, 15, 17, 10, 0, 0, 13, 84, 214, 393, 588, 754, 848, 845, 744, 575, 381, 206, 80, 12, 0, 0, 10, 18, 16, 8, 1, 0, 0, 0, 2, 7, 12, 16, 19, 19, 17, 13, 10, 8, 8, 9, 9, 7, 5, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 5, 11, 17, 20, 20, 16, 10, 4, 0, 0, 0, 0, 0, 1, 2, 4, 5, 6, 5, 4, 2, 0, 0, 0, 2, 4, 6, 7, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 6, 14, 22, 27, 27, 23, 15, 7, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 6, 11, 16, 19, 18, 14, 8, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 3, 0, 0, 0, 0, 1, 3, 6, 8, 10, 11, 11, 9, 7, 5, 3, 3, 2, 2, 2, 3, 4, 5, 6, 5, 4, 2, 2, 5, 9, 11, 8, 1, 0, 0, 32, 102, 212, 349, 486, 593, 641, 619, 531, 400, 258, 136, 50, 6, 0, 0, 6, 9, 6, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 5, 9, 9, 5, 0, 0, 0, 4, 20, 30, 22, 0, 0, 4, 121, 356, 697, 1086, 1434, 1648, 1666, 1484, 1155, 768, 415, 161, 23, 0, 0, 17, 28, 21, 6, 0, 0, 0, 9, 18, 22, 21, 18, 13, 8, 4, 1, 0, 0, 2, 7, 13, 15, 13, 5, 0, 0, 0, 10, 22, 23, 8, 0, 0, 55, 216, 481, 816, 1153, 1407, 1509, 1430, 1192, 863, 525, 249, 73, 0, 0, 2, 20, 24, 18, 10, 8, 12, 18, 21, 18, 11, 4, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 5, 11, 16, 18, 17, 13, 7, 3, 0, 0, 0, 0, 0, 0, 0, 3, 7, 12, 15, 15, 12, 7, 2, 0, 0, 4, 13, 22, 30, 33, 32, 26, 18, 9, 3, 0, 0, 0, 1, 2, 3, 2, 1, 0, 0, 3, 10, 18, 26, 28, 21, 7, 0, 0, 34, 120, 255, 420, 583, 705, 753, 717, 605, 447, 283, 145, 52, 5, 0, 0, 7, 9, 5, 0, 0, 0, 3, 8, 12, 12, 9, 4, 0, 0, 0, 2, 7, 10, 6, 0, 0, 8, 55, 144, 269, 409, 532, 607, 613, 549, 431, 293, 165, 70, 15, 0, 0, 0, 4, 7, 8, 6, 1, 0, 0, 11, 67, 169, 312, 472, 615, 703, 713, 644, 514, 358, 212, 100, 33, 3, 0, 0, 0, 0, 5, 14, 19, 14, 0, 0, 6, 93, 268, 521, 811, 1071, 1232, 1249, 1114, 859, 548, 255, 45, 0, 33, 233, 520, 825, 1073, 1200, 1175, 1008, 751, 471, 233, 74, 0, 0, 1, 17, 20, 13, 4, 2, 8, 19, 29, 33, 32, 26, 19, 13, 8, 5, 2, 0, 0, 2, 10, 21, 32, 39, 40, 35, 25, 13, 4, 0, 0, 4, 8, 10, 10, 9, 9, 10, 10, 7, 0, 0, 0, 26, 87, 180, 293, 399, 471, 488, 445, 354, 242, 134, 54, 9, 0, 0, 5, 10, 9, 5, 1, 0, 0, 1, 3, 3, 2, 1, 0, 0, 0, 2, 6, 11, 14, 14, 12, 8, 4, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 9, 20, 31, 37, 38, 31, 21, 10, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 3, 7, 12, 16, 18, 16, 13, 8, 5, 3, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 3, 3, 2, 0, 0, 0, 3, 11, 19, 26, 27, 22, 12, 2, 0, 0, 4, 9, 8, 1, 0, 13, 70, 183, 351, 552, 747, 889, 934, 863, 686, 445, 205, 42, 13, 144, 418, 773, 1120, 1370, 1459, 1369, 1130, 810, 489, 232, 70, 0, 0, 5, 22, 31, 31, 29, 27, 21, 9, 0, 0, 30, 119, 265, 449, 632, 768, 820, 773, 642, 463, 283, 136, 42, 0, 0, 0, 10, 19, 28, 38, 49, 58, 60, 54, 40, 25, 12, 5, 2, 3, 3, 2, 0, 0, 2, 7, 13, 17, 19, 16, 11, 5, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 3, 0, 0, 0, 0, 5, 12, 14, 8, 0, 0, 13, 82, 206, 370, 541, 676, 737, 706, 593, 431, 263, 124, 35, 0, 0, 4, 16, 19, 14, 4, 0, 0, 0, 9, 22, 33, 38, 37, 30, 20, 12, 10, 13, 19, 25, 27, 24, 17, 10, 5, 4, 7, 9, 10, 9, 6, 4, 4, 4, 4, 1, 0, 0, 0, 5, 18, 25, 18, 0, 0, 1, 86, 257, 503, 776, 1012, 1145, 1136, 989, 747, 478, 243, 82, 3, 0, 0, 15, 19, 13, 1, 0, 0, 0, 8, 15, 18, 19, 18, 17, 15, 13, 10, 8, 6, 5, 5, 4, 2, 0, 0, 0, 2, 11, 17, 13, 0, 0, 0, 57, 178, 357, 563, 747, 861, 870, 773, 599, 395, 210, 79, 9, 0, 0, 10, 15, 12, 3, 0, 0, 0, 3, 8, 11, 10, 5, 0, 0, 0, 2, 15, 25, 21, 3, 0, 0, 70, 236, 489, 786, 1057, 1229, 1252, 1118, 868, 572, 305, 114, 13, 0, 0, 10, 19, 19, 17, 14, 9, 0, 0, 0, 48, 173, 371, 613, 844, 1002, 1042, 951, 756, 509, 269, 84, 0, 0, 61, 219, 423, 633, 801, 886, 866, 746, 560, 357, 182, 63, 3, 0, 0, 7, 12, 11, 7, 0, 0, 0, 3, 41, 116, 232, 374, 517, 627, 676, 649, 554, 415, 266, 137, 48, 4, 0, 0, 8, 11, 7, 1, 0, 0, 3, 11, 18, 22, 21, 16, 9, 3, 0, 0, 2, 5, 6, 5, 0, 0, 0, 0, 8, 17, 18, 8, 0, 0, 34, 139, 314, 535, 759, 930, 998, 941, 770, 524, 265, 59, 0, 19, 225, 550, 922, 1250, 1445, 1451, 1262, 930, 550, 229, 52, 56, 219, 474, 728, 900, 943, 855, 672, 448, 237, 77, 0, 0, 49, 195, 400, 633, 846, 987, 1016, 924, 736, 503, 281, 115, 20, 0, 0, 9, 21, 24, 21, 18, 17, 17, 16, 13, 7, 3, 1, 1, 4, 8, 11, 15, 18, 22, 24, 25, 22, 18, 12, 6, 2, 0, 0, 0, 0, 1, 4, 10, 16, 21, 22, 20, 15, 8, 3, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 8, 15, 20, 22, 20, 15, 8, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 6, 14, 23, 29, 30, 26, 18, 10, 3, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 7, 13, 18, 19, 17, 14, 12, 13, 15, 14, 6, 0, 0, 17, 89, 214, 378, 548, 679, 733, 695, 575, 408, 239, 104, 22, 0, 0, 8, 22, 28, 28, 25, 22, 20, 20, 20, 18, 15, 9, 2, 0, 0, 0, 8, 15, 13, 1, 0, 0, 56, 179, 367, 592, 806, 953, 989, 901, 709, 459, 214, 34, 0, 24, 208, 480, 781, 1043, 1202, 1224, 1106, 884, 617, 365, 171, 52, 0, 0, 0, 10, 18, 23, 24, 18, 3, 0, 0, 49, 185, 405, 680, 954, 1157, 1230, 1152, 947, 670, 394, 175, 42, 0, 0, 10, 27, 30, 23, 14, 7, 6, 7, 7, 6, 3, 2, 4, 9, 16, 24, 31, 35, 36, 36, 33, 30, 26, 22, 18, 15, 13, 13, 14, 16, 18, 19, 17, 14, 9, 5, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 3, 7, 13, 20, 27, 30, 26, 15, 1, 0, 1, 42, 118, 221, 332, 424, 471, 461, 394, 289, 169, 63, 0, 0, 42, 171, 355, 563, 749, 868, 888, 804, 638, 435, 243, 98, 16, 0, 0, 15, 28, 29, 20, 8, 0, 0, 4, 12, 20, 24, 24, 20, 13, 6, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 3, 10, 17, 21, 16, 3, 0, 0, 40, 136, 279, 448, 603, 702, 717, 642, 502, 333, 178, 67, 8, 0, 0, 13, 21, 22, 22, 22, 20, 12, 0, 0, 5, 74, 215, 423, 667, 895, 1050, 1088, 998, 807, 564, 329, 146, 35, 0, 0, 9, 24, 28, 23, 15, 9, 6, 8, 11, 15, 19, 23, 25, 26, 23, 18, 13, 9, 8, 9, 11, 12, 11, 8, 5, 4, 5, 7, 10, 12, 13, 15, 18, 24, 33, 42, 46, 45, 37, 25, 13, 4, 0, 0, 3, 4, 3, 0, 0, 1, 5, 10, 10, 3, 0, 0, 20, 82, 183, 308, 431, 521, 551, 513, 419, 296, 173, 78, 20, 0, 0, 5, 12, 14, 14, 15, 14, 9, 0, 0, 0, 36, 117, 238, 378, 504, 580, 586, 520, 402, 266, 144, 56, 9, 0, 0, 4, 8, 6, 2, 0, 0, 0, 0, 5, 13, 22, 31, 36, 36, 31, 22, 13, 5, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 4, 13, 25, 37, 43, 43, 39, 35, 34, 36, 34, 21, 0, 0, 1, 96, 288, 567, 886, 1171, 1347, 1364, 1217, 951, 637, 350, 140, 24, 0, 0, 15, 29, 31, 26, 21, 18, 18, 17, 14, 9, 4, 1, 0, 1, 1, 0, 0, 0, 1, 6, 13, 18, 20, 19, 14, 8, 2, 0, 0, 0, 1, 3, 4, 4, 3, 1, 0, 0, 0, 1, 3, 7, 9, 10, 9, 6, 2, 0, 0, 0, 2, 6, 8, 9, 8, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 5, 4, 2, 0, 0, 0, 2, 7, 10, 6, 0, 0, 0, 34, 99, 189, 285, 361, 393, 373, 306, 214, 122, 51, 10, 0, 0, 0, 1, 0, 0, 3, 8, 9, 2, 0, 0, 28, 113, 248, 413, 570, 676, 701, 637, 506, 344, 192, 80, 16, 0, 0, 3, 9, 11, 10, 12, 15, 18, 19, 15, 10, 3, 0, 0, 0, 4, 9, 11, 9, 3, 0, 0, 16, 61, 134, 225, 317, 386, 413, 390, 323, 231, 138, 62, 16, 0, 0, 2, 7, 7, 4, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 4, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 3, 7, 9, 5, 0, 0, 11, 61, 151, 273, 406, 519, 585, 585, 520, 408, 278, 159, 70, 18, 0, 0, 0, 6, 9, 10, 9, 5, 0, 0, 0, 24, 78, 161, 262, 360, 433, 462, 441, 376, 284, 187, 103, 44, 11, 0, 0, 1, 3, 2, 0, 0, 0, 2, 5, 7, 7, 5, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 3, 7, 8, 4, 0, 0, 7, 48, 120, 216, 314, 391, 424, 405, 340, 247, 151, 72, 22, 0, 0, 1, 5, 5, 2, 0, 0, 0, 4, 8, 9, 8, 5, 2, 0, 0, 2, 5, 8, 10, 9, 6, 2, 0, 0, 1, 6, 11, 16, 19, 19, 16, 12, 7, 3, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 8, 7, 5, 3, 1, 0, 0, 0, 2, 5, 6, 7, 6, 5, 3, 1, 0, 0, 0, 0, 4, 7, 6, 0, 0, 0, 30, 95, 196, 320, 440, 528, 558, 521, 428, 304, 180, 81, 20, 0, 0, 6, 13, 13, 8, 2, 0, 0, 0, 2, 5, 7, 6, 2, 0, 0, 0, 2, 10, 15, 11, 0, 0, 0, 50, 156, 311, 489, 651, 754, 770, 695, 553, 382, 220, 99, 27, 0, 0, 0, 3, 3, 1, 1, 1, 0, 0, 0, 7, 47, 121, 226, 342, 444, 502, 502, 444, 344, 230, 127, 52, 11, 0, 0, 3, 6, 5, 2, 0, 0, 2, 4, 5, 5, 2, 0, 0, 0, 6, 15, 26, 34, 38, 35, 27, 16, 6, 0, 0, 0, 8, 17, 25, 29, 29, 23, 15, 7, 1, 0, 0, 3, 5, 5, 4, 1, 0, 0, 2, 8, 16, 22, 24, 21, 14, 6, 1, 0, 1, 6, 11, 13, 13, 9, 4, 0, 0, 0, 2, 5, 7, 7, 4, 1, 0, 0, 4, 12, 19, 24, 24, 19, 12, 5, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 5, 9, 11, 11, 8, 6, 7, 13, 19, 20, 12, 0, 0, 8, 82, 221, 412, 621, 797, 893, 881, 765, 578, 371, 190, 66, 4, 0, 0, 11, 14, 8, 0, 0, 0, 8, 19, 28, 33, 32, 28, 21, 14, 8, 3, 2, 2, 3, 4, 5, 6, 7, 12, 18, 23, 23, 14, 0, 0, 2, 56, 160, 308, 474, 623, 717, 734, 670, 545, 389, 238, 119, 42, 5, 0, 0, 2, 5, 6, 4, 1, 0, 0, 5, 34, 90, 175, 279, 385, 468, 503, 478, 391, 264, 129, 29, 1, 71, 235, 469, 721, 933, 1053, 1047, 916, 693, 433, 205, 66, 50, 158, 358, 594, 803, 933, 953, 863, 688, 472, 268, 122, 68, 118, 259, 460, 669, 836, 917, 892, 769, 582, 378, 199, 75, 11, 0, 0, 6, 9, 6, 4, 8, 20, 34, 44, 44, 36, 22, 8, 0, 0, 0, 3, 7, 10, 11, 11, 10, 6, 0, 0, 0, 0, 9, 21, 25, 12, 0, 0, 30, 163, 398, 713, 1050, 1331, 1481, 1462, 1279, 984, 653, 358, 146, 30, 0, 0, 10, 22, 24, 22, 19, 12, 1, 0, 0, 37, 142, 316, 541, 775, 961, 1052, 1021, 879, 664, 431, 229, 88, 14, 0, 0, 9, 19, 24, 24, 18, 7, 0, 0, 14, 89, 228, 420, 637, 831, 956, 978, 891, 714, 490, 269, 103, 25, 52, 174, 361, 565, 735, 830, 826, 728, 564, 376, 206, 83, 16, 0, 0, 8, 13, 11, 4, 0, 0, 0, 1, 3, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 8, 10, 10, 8, 4, 2, 1, 2, 5, 9, 11, 11, 8, 4, 1, 0, 0, 1, 4, 6, 6, 5, 4, 2, 0, 0, 0, 0, 0, 1, 2, 3, 3, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 4, 12, 20, 27, 29, 27, 20, 12, 4, 0, 0, 1, 4, 5, 4, 2, 0, 2, 7, 12, 13, 7, 0, 0, 16, 83, 202, 366, 547, 704, 799, 804, 719, 567, 386, 218, 92, 20, 0, 0, 4, 10, 10, 6, 2, 0, 0, 0, 0, 17, 56, 121, 209, 305, 391, 444, 448, 400, 308, 194, 90, 29, 38, 130, 297, 510, 725, 893, 975, 953, 835, 652, 446, 259, 119, 33, 0, 0, 0, 13, 21, 21, 11, 0, 0, 4, 72, 204, 394, 617, 828, 977, 1028, 967, 809, 590, 363, 176, 69, 61, 149, 306, 490, 654, 757, 774, 705, 571, 404, 243, 115, 35, 0, 0, 8, 22, 30, 32, 30, 28, 27, 27, 29, 30, 31, 31, 29, 25, 20, 15, 10, 7, 5, 6, 7, 9, 9, 8, 6, 3, 1, 1, 2, 3, 4, 3, 1, 0, 0, 4, 13, 25, 38, 46, 47, 42, 32, 19, 7, 0, 0, 0, 2, 9, 14, 10, 0, 0, 1, 54, 163, 327, 525, 717, 861, 922, 886, 763, 585, 393, 223, 99, 28, 0, 0, 5, 11, 10, 5, 0, 0, 0, 1, 5, 7, 6, 4, 2, 2, 6, 12, 16, 14, 5, 0, 0, 27, 100, 221, 377, 542, 679, 754, 746, 656, 508, 337, 182, 69, 8, 0, 0, 15, 25, 24, 15, 6, 0, 0, 0, 1, 2, 2, 1, 1, 3, 6, 9, 10, 9, 6, 3, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 3, 6, 9, 10, 9, 6, 3, 3, 5, 6, 4, 0, 0, 2, 33, 93, 179, 278, 369, 431, 450, 425, 363, 282, 199, 127, 73, 40, 24, 23, 34, 52, 72, 90, 98, 95, 80, 57, 33, 14, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 5, 13, 21, 27, 29, 24, 16, 7, 0, 0, 0, 4, 9, 13, 13, 11, 8, 4, 2, 1, 0, 0, 0, 0, 0, 1, 6, 12, 15, 15, 13, 18, 39, 84, 155, 247, 340, 415, 452, 440, 383, 295, 199, 113, 51, 15, 1, 0, 0, 0, 0, 2, 6, 7, 3, 0, 0, 12, 64, 155, 273, 395, 493, 540, 524, 453, 346, 230, 129, 56, 15, 0, 0, 3, 7, 8, 7, 4, 1, 0, 0, 2, 12, 27, 47, 67, 85, 95, 97, 89, 74, 55, 35, 18, 6, 0, 0, 0, 3, 5, 6, 5, 3, 1, 0, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 0, 0, 3, 6, 9, 10, 9, 7, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 15, 39, 78, 129, 187, 242, 283, 302, 293, 259, 206, 147, 91, 47, 18, 3, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 5, 8, 8, 4, 0, 0, 10, 45, 108, 194, 287, 369, 419, 424, 383, 306, 214, 126, 57, 15, 0, 0, 4, 10, 13, 11, 7, 4, 2, 4, 9, 15, 21, 25, 26, 22, 15, 7, 1, 0, 0, 5, 10, 12, 10, 4, 0, 0, 0, 6, 12, 12, 2, 0, 0, 49, 163, 345, 575, 810, 996, 1087, 1058, 919, 704, 467, 255, 103, 20, 0, 0, 13, 22, 20, 12, 3, 0, 0, 3, 7, 8, 7, 4, 1, 0, 0, 1, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 8, 14, 19, 21, 19, 15, 8, 2, 0, 0, 0, 1, 4, 6, 4, 0, 0, 4, 30, 79, 152, 240, 328, 395, 424, 406, 343, 249, 150, 73, 45, 81, 183, 335, 510, 672, 786, 827, 787, 676, 518, 347, 195, 84, 19, 0, 0, 7, 15, 15, 11, 4, 0, 0, 0, 3, 9, 15, 19, 20, 17, 12, 7, 3, 1, 2, 2, 2, 0, 0, 0, 2, 11, 20, 21, 12, 0, 0, 21, 106, 256, 460, 683, 874, 984, 981, 864, 662, 428, 220, 83, 40, 85, 192, 322, 437, 510, 529, 497, 425, 331, 232, 142, 73, 27, 4, 0, 5, 14, 21, 25, 25, 22, 20, 19, 20, 23, 25, 27, 27, 26, 25, 24, 24, 24, 25, 24, 22, 18, 12, 7, 2, 0, 0, 0, 2, 3, 2, 1, 0, 0, 1, 5, 10, 16, 19, 20, 17, 13, 7, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 8, 10, 10, 8, 5, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 3, 8, 13, 17, 17, 14, 9, 4, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 4, 11, 19, 25, 27, 25, 18, 10, 3, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 7, 11, 13, 12, 9, 4, 0, 0, 1, 7, 16, 26, 31, 29, 18, 4, 0, 0, 32, 98, 193, 303, 407, 482, 512, 492, 428, 338, 240, 152, 84, 38, 14, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 7, 12, 16, 18, 16, 11, 6, 2, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 6, 5, 3, 1, 0, 0, 3, 7, 10, 14, 17, 20, 26, 31, 36, 36, 31, 20, 7, 0, 0, 1, 10, 15, 9, 0, 0, 17, 100, 252, 462, 696, 903, 1034, 1056, 967, 791, 575, 363, 193, 80, 22, 1, 0, 2, 2, 0, 0, 3, 11, 20, 25, 25, 19, 10, 2, 0, 1, 6, 13, 17, 17, 13, 8, 3, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 4, 6, 6, 5, 3, 2, 1, 2, 3, 4, 4, 3, 0, 0, 0, 3, 9, 15, 20, 21, 19, 13, 7, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 2, 0, 0, 0, 1, 5, 8, 8, 3, 0, 0, 15, 64, 150, 273, 416, 557, 668, 724, 713, 638, 515, 369, 229, 115, 39, 1, 0, 5, 21, 33, 37, 30, 17, 2, 0, 3, 34, 89, 161, 237, 301, 338, 341, 312, 258, 194, 133, 85, 55, 43, 44, 54, 66, 77, 83, 82, 76, 64, 50, 35, 21, 10, 3, 0, 1, 5, 9, 11, 10, 6, 3, 9, 30, 73, 137, 215, 296, 363, 403, 406, 373, 310, 232, 154, 88, 42, 16, 5, 4, 5, 5, 3, 0, 0, 0, 3, 8, 12, 14, 14, 13, 13, 16, 22, 29, 34, 33, 27, 16, 6, 0, 0, 1, 4, 5, 1, 0, 0, 23, 77, 162, 272, 389, 494, 567, 596, 578, 517, 428, 324, 221, 133, 66, 23, 2, 0, 0, 6, 10, 14, 16, 19, 24, 29, 34, 36, 35, 32, 28, 24, 20, 15, 6, 0, 0, 12, 64, 159, 290, 441, 585, 691, 737, 713, 625, 494, 350, 229, 157, 153, 216, 329, 462, 582, 656, 670, 621, 526, 408, 290, 190, 116, 67, 39, 23, 17, 16, 20, 27, 34, 38, 38, 32, 23, 13, 5, 0, 0, 0, 2, 5, 10, 15, 21, 26, 30, 31, 28, 23, 16, 9, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 2, 5, 8, 10, 10, 8, 4, 1, 0, 0, 2, 4, 6, 6, 4, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 4, 12, 20, 28, 31, 30, 24, 15, 7, 1, 0, 0, 3, 9, 16, 22, 27, 29, 27, 23, 17, 11, 6, 3, 1, 0, 0, 0, 0, 2, 5, 7, 8, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 2, 5, 7, 8, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 9, 12, 13, 10, 6, 2, 0, 0, 2, 5, 8, 9, 8, 5, 2, 0, 0, 0, 0, 0, 0, 0, 2, 10, 25, 51, 88, 131, 176, 214, 237, 238, 215, 174, 123, 73, 32, 7, 0, 0, 3, 7, 7, 3, 0, 0, 8, 33, 76, 137, 214, 297, 375, 434, 461, 449, 397, 316, 221, 132, 62, 18, 0, 0, 0, 4, 4, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 3, 5, 7, 8, 7, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 5, 5, 2, 0, 0, 11, 48, 113, 205, 315, 423, 512, 564, 570, 531, 455, 357, 255, 163, 91, 42, 14, 2, 0, 0, 0, 0, 0, 0, 3, 7, 10, 11, 10, 7, 4, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 3, 9, 16, 21, 22, 18, 11, 3, 0, 0, 2, 9, 14, 12, 4, 0, 0, 31, 104, 220, 369, 528, 669, 763, 793, 754, 657, 525, 385, 265, 188, 164, 192, 258, 339, 409, 447, 442, 396, 320, 232, 152, 92, 58, 46, 46, 51, 52, 46, 34, 19, 6, 0, 2, 22, 63, 125, 205, 293, 376, 436, 461, 446, 395, 319, 235, 159, 99, 59, 36, 24, 17, 12, 6, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 3, 5, 5, 4, 2, 0, 0, 0, 3, 8, 15, 20, 22, 20, 16, 11, 8, 7, 7, 9, 11, 12, 12, 11, 9, 8, 8, 7, 7, 7, 8, 9, 11, 13, 14, 13, 11, 7, 4, 1, 0, 0, 0, 2, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 4, 9, 14, 18, 19, 17, 13, 8, 4, 1, 0, 0, 0, 0, 0, 2, 4, 5, 6, 5, 3, 1, 0, 1, 3, 7, 11, 13, 11, 6, 0, 0, 4, 29, 79, 157, 259, 373, 485, 575, 627, 633, 590, 508, 401, 288, 185, 104, 52, 25, 19, 24, 32, 38, 38, 33, 27, 22, 21, 24, 30, 36, 38, 34, 26, 16, 10, 11, 25, 54, 98, 155, 218, 281, 335, 371, 383, 367, 327, 268, 203, 140, 89, 54, 33, 23, 17, 13, 8, 3, 0, 0, 1, 5, 9, 11, 10, 7, 3, 0, 0, 2, 5, 9, 11, 11, 10, 8, 7, 6, 7, 8, 9, 10, 10, 9, 7, 4, 1, 0, 0, 2, 5, 8, 9, 9, 8, 8, 11, 15, 20, 24, 26, 24, 18, 12, 7, 5, 6, 10, 15, 20, 24, 26, 26, 24, 20, 15, 10, 5, 1, 0, 0, 0, 2, 6, 9, 12, 14, 14, 13, 11, 9, 8, 8, 9, 14, 21, 29, 38, 45, 46, 41, 32, 19, 8, 0, 0, 0, 8, 18, 27, 33, 36, 33, 28, 20, 12, 5, 1, 0, 0, 1, 6, 11, 14, 16, 14, 9, 4, 0, 0, 2, 7, 10, 11, 9, 6, 2, 0, 0, 0, 2, 3, 3, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 5, 11, 16, 19, 19, 15, 10, 4, 0, 0, 0, 2, 6, 10, 12, 13, 11, 8, 4, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 4, 5, 5, 3, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 3, 5, 3, 0, 0, 0, 15, 48, 100, 163, 230, 290, 334, 358, 361, 343, 307, 256, 197, 137, 82, 40, 13, 1, 0, 1, 4, 5, 3, 1, 0, 0, 2, 4, 7, 7, 7, 5, 3, 0, 0, 0, 9, 29, 66, 120, 191, 273, 356, 425, 469, 477, 450, 393, 316, 234, 159, 98, 55, 28, 13, 6, 3, 3, 3, 3, 3, 2, 2, 2, 4, 7, 9, 11, 11, 9, 5, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 4, 7, 8, 8, 7, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 6, 10, 12, 12, 9, 5, 2, 0, 0, 1, 3, 4, 4, 3, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 7, 22, 49, 91, 146, 210, 272, 322, 351, 353, 330, 289, 241, 200, 175, 175, 199, 244, 300, 355, 398, 419, 413, 380, 326, 260, 193, 133, 84, 48, 24, 9, 2, 1, 5, 12, 20, 25, 25, 21, 15, 8, 4, 3, 4, 6, 8, 7, 4, 1, 0, 0, 2, 5, 7, 8, 7, 4, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 4, 3, 0, 0, 2, 27, 81, 166, 277, 397, 504, 579, 608, 586, 523, 433, 334, 240, 162, 102, 60, 32, 15, 5, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 7, 14, 20, 23, 23, 18, 11, 5, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 6, 9, 10, 10, 6, 0, 0, 2, 23, 66, 132, 217, 313, 406, 484, 535, 552, 533, 484, 412, 328, 245, 170, 111, 67, 38, 21, 12, 7, 5, 4, 3, 2, 0, 0, 0, 3, 8, 14, 20, 24, 25, 23, 20, 16, 13, 10, 8, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 5, 12, 19, 25, 26, 22, 15, 7, 1, 0, 0, 5, 11, 16, 17, 14, 9, 3, 0, 0, 3, 15, 36, 67, 108, 159, 217, 277, 332, 372, 389, 377, 336, 272, 198, 126, 66, 25, 4, 0, 1, 7, 10, 10, 7, 3, 0, 0, 2, 4, 7, 8, 6, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 5, 6, 5, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 6, 9, 10, 10, 9, 7, 8, 13, 23, 42, 68, 102, 141, 179, 211, 231, 233, 219, 191, 155, 119, 88, 62, 41, 25, 12, 3, 0, 2, 9, 18, 26, 29, 26, 19, 13, 9, 11, 17, 24, 28, 27, 20, 12, 4, 0, 0, 1, 4, 5, 6, 5, 5, 6, 8, 11, 14, 15, 15, 12, 9, 4, 1, 0, 1, 5, 12, 18, 23, 25, 24, 21, 16, 12, 7, 2, 0, 0, 12, 44, 102, 188, 296, 417, 536, 635, 699, 717, 685, 612, 509, 396, 290, 204, 140, 98, 70, 50, 33, 18, 6, 0, 0, 0, 4, 8, 9, 8, 6, 4, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 9, 17, 23, 26, 24, 18, 10, 3, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 4, 8, 11, 12, 11, 7, 3, 0, 0, 2, 6, 9, 11, 10, 7, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 3, 8, 13, 16, 17, 15, 10, 5, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 7, 20, 41, 70, 106, 147, 192, 236, 276, 308, 329, 336, 328, 307, 277, 244, 219, 209, 222, 259, 316, 380, 435, 466, 465, 431, 371, 300, 229, 170, 124, 92, 68, 48, 31, 18, 10, 8, 14, 28, 51, 85, 129, 185, 248, 312, 366, 402, 413, 397, 357, 301, 239, 178, 125, 83, 51, 29, 15, 6, 1, 0, 0, 0, 2, 5, 10, 16, 20, 22, 22, 19, 15, 9, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 2, 1, 0, 0, 1, 4, 8, 10, 11, 9, 5, 2, 0, 0, 1, 5, 10, 13, 14, 12, 8, 4, 0, 0, 0, 1, 4, 7, 8, 7, 6, 3, 1, 0, 0, 0, 2, 4, 5, 5, 4, 3, 1, 0, 0, 0, 1, 2, 4, 6, 7, 7, 7, 5, 3, 1, 0, 0, 0, 0, 1, 2, 3, 3, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 4, 7, 13, 26, 51, 95, 160, 247, 348, 453, 549, 622, 663, 669, 641, 588, 523, 460, 411, 385, 385, 407, 444, 485, 516, 530, 521, 489, 439, 374, 304, 233, 169, 116, 77, 52, 39, 35, 34, 34, 33, 31, 29, 30, 32, 34, 33, 28, 21, 12, 5, 2, 3, 6, 9, 9, 6, 2, 0, 2, 8, 16, 23, 26, 25, 20, 13, 7, 3, 1, 0, 0, 0, 0, 0, 1, 3, 4, 5, 4, 3, 1, 0, 0, 1, 4, 10, 21, 43, 83, 146, 232, 334, 440, 533, 596, 621, 606, 559, 494, 428, 373, 338, 326, 334, 356, 384, 408, 421, 418, 398, 364, 321, 275, 230, 190, 156, 126, 101, 80, 64, 52, 44, 37, 29, 20, 11, 3, 0, 1, 8, 18, 28, 35, 36, 33, 26, 17, 10, 5, 3, 2, 1, 0, 0, 0, 4, 12, 27, 49, 78, 113, 151, 189, 223, 250, 266, 271, 265, 250, 231, 208, 184, 160, 135, 109, 82, 55, 32, 14, 3, 0, 0, 2, 5, 6, 6, 6, 7, 10, 14, 16, 16, 13, 9, 4, 0, 0, 0, 1, 3, 5, 6, 5, 4, 1, 0, 0, 0, 3, 7, 11, 12, 11, 8, 4, 1, 0, 0, 1, 4, 5, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 3, 2, 1, 0, 0, 0, 2, 5, 8, 10, 12, 12, 9, 5, 0, 0, 0, 12, 38, 75, 118, 160, 192, 211, 216, 211, 201, 190, 180, 169, 157, 140, 118, 92, 65, 40, 20, 6, 0, 0, 5, 17, 38, 71, 119, 183, 262, 350, 434, 502, 542, 548, 519, 465, 400, 339, 292, 267, 261, 270, 288, 308, 323, 330, 325, 307, 277, 237, 191, 147, 108, 80, 61, 51, 44, 37, 28, 18, 7, 0, 0, 0, 9, 19, 28, 32, 29, 20, 8, 0, 0, 10, 33, 64, 96, 124, 145, 157, 165, 172, 181, 190, 197, 194, 179, 153, 118, 83, 54, 33, 22, 16, 13, 9, 4, 0, 0, 3, 8, 15, 19, 20, 19, 16, 15, 17, 24, 36, 52, 73, 97, 125, 157, 189, 217, 240, 253, 256, 247, 227, 197, 161, 120, 80, 47, 24, 13, 14, 21, 30, 35, 34, 28, 19, 9, 2, 0, 0, 1, 6, 12, 16, 19, 19, 15, 10, 5, 1, 0, 0, 0, 0, 0, 1, 3, 6, 9, 11, 11, 9, 5, 2, 0, 0, 0, 2, 6, 10, 13, 13, 12, 8, 4, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 3, 2, 1, 0, 0, 1, 3, 6, 8, 8, 6, 3, 0, 0, 0, 2, 7, 12, 15, 15, 12, 6, 1, 0, 0, 3, 10, 17, 21, 21, 18, 12, 6, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 9, 21, 36, 52, 68, 84, 104, 131, 165, 203, 240, 267, 277, 268, 242, 205, 167, 133, 109, 91, 77, 63, 47, 30, 15, 4, 0, 0, 0, 2, 3, 3, 3, 3, 3, 2, 0, 0, 0, 4, 16, 37, 65, 100, 136, 169, 195, 212, 217, 212, 199, 185, 177, 182, 204, 244, 296, 353, 404, 440, 457, 453, 431, 396, 354, 310, 268, 230, 194, 161, 127, 95, 66, 45, 35, 41, 65, 105, 157, 214, 272, 323, 366, 399, 422, 433, 433, 420, 394, 356, 309, 259, 211, 168, 133, 105, 83, 67, 55, 46, 40, 35, 30, 25, 18, 11, 5, 2, 1, 3, 6, 9, 10, 10, 8, 5, 2, 0, 0, 0, 0, 1, 4, 7, 9, 9, 7, 4, 1, 0, 0, 2, 5, 7, 7, 5, 3, 1, 0, 0, 0, 2, 4, 7, 8, 9, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 3, 5, 6, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 6, 5, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 8, 17, 25, 31, 36, 44, 62, 94, 141, 200, 258, 307, 337, 346, 339, 321, 303, 290, 288, 298, 320, 351, 388, 425, 457, 479, 489, 487, 476, 461, 444, 426, 408, 390, 371, 357, 348, 347, 352, 357, 358, 352, 340, 327, 321, 326, 344, 371, 399, 422, 435, 436, 426, 409, 386, 360, 330, 296, 260, 224, 186, 150, 114, 81, 53, 36, 34, 50, 82, 126, 173, 216, 249, 272, 288, 302, 314, 325, 329, 324, 305, 273, 230, 184, 139, 102, 76, 61, 56, 56, 58, 55, 48, 35, 20, 8, 2, 4, 12, 22, 29, 31, 26, 17, 8, 3, 2, 5, 9, 12, 12, 9, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 5, 6, 6, 5, 4, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 5, 18, 38, 64, 93, 121, 145, 162, 173, 177, 176, 170, 160, 150, 140, 130, 120, 107, 92, 72, 51, 30, 14, 3, 0, 0, 0, 2, 2, 1, 0, 0, 0, 4, 7, 10, 12, 10, 7, 3, 0, 0, 0, 4, 8, 10, 7, 0, 0, 0, 18, 53, 100, 152, 197, 228, 245, 253, 259, 268, 283, 298, 304, 296, 269, 227, 175, 123, 77, 43, 23, 15, 17, 24, 31, 35, 34, 27, 18, 9, 2, 0, 0, 1, 4, 8, 12, 15, 16, 15, 12, 9, 4, 1, 0, 0, 0, 1, 2, 2, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 8, 8, 6, 4, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 3, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 4, 9, 15, 23, 33, 46, 61, 81, 101, 120, 133, 139, 136, 127, 115, 103, 93, 85, 78, 70, 62, 53, 47, 43, 44, 49, 57, 69, 87, 114, 149, 193, 242, 288, 327, 353, 366, 366, 358, 344, 324, 299, 268, 229, 185, 141, 103, 73, 55, 46, 42, 39, 33, 24, 15, 6, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 8, 10, 10, 9, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 5, 6, 5, 5, 7, 10, 16, 25, 34, 45, 57, 74, 96, 127, 165, 209, 254, 294, 322, 337, 337, 326, 307, 283, 253, 218, 178, 132, 87, 49, 25, 18, 28, 51, 81, 111, 138, 162, 187, 217, 253, 296, 339, 378, 404, 412, 402, 379, 350, 325, 311, 313, 330, 357, 387, 414, 432, 437, 429, 410, 383, 354, 329, 314, 310, 316, 328, 340, 347, 346, 336, 318, 294, 267, 237, 206, 175, 145, 116, 91, 70, 53, 42, 35, 33, 32, 32, 30, 27, 22, 18, 16, 16, 19, 23, 28, 30, 30, 28, 23, 17, 12, 7, 4, 1, 0, 0, 0, 1, 4, 9, 13, 15, 12, 7, 2, 2, 10, 28, 54, 85, 117, 148, 179, 210, 244, 279, 311, 336, 350, 354, 350, 341, 330, 317, 298, 270, 231, 182, 130, 84, 51, 35, 34, 40, 47, 47, 40, 27, 13, 2, 0, 0, 3, 7, 8, 7, 4, 1, 0, 0, 0, 3, 5, 8, 11, 13, 14, 16, 16, 15, 13, 10, 7, 3, 0, 0, 0, 1, 3, 5, 6, 6, 5, 5, 4, 2, 0, 0, 0, 6, 23, 50, 85, 124, 161, 194, 222, 248, 275, 304, 334, 360, 380, 388, 384, 369, 342, 306, 263, 214, 164, 117, 80, 55, 44, 45, 53, 63, 75, 86, 99, 115, 136, 157, 176, 186, 188, 181, 170, 159, 151, 145, 139, 130, 117, 98, 75, 54, 35, 22, 15, 13, 13, 14, 15, 14, 12, 10, 6, 3, 1, 0, 0, 1, 3, 4, 4, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 6, 6, 5, 3, 1, 0, 0, 0, 2, 4, 7, 10, 11, 12, 12, 12, 12, 11, 10, 8, 5, 2, 0, 0, 0, 1, 3, 4, 4, 2, 0, 0, 1, 7, 15, 22, 24, 22, 15, 7, 1, 0, 3, 8, 14, 16, 14, 10, 5, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 4, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 2, 0, 0, 0, 2, 3, 4, 2, 0, 0, 0, 3, 7, 12, 14, 12, 7, 1, 0, 1, 12, 28, 47, 65, 80, 93, 107, 127, 153, 186, 221, 252, 274, 283, 280, 267, 246, 222, 196, 171, 147, 125, 105, 87, 70, 54, 40, 27, 17, 8, 1, 0, 0, 4, 11, 17, 23, 28, 34, 47, 70, 103, 143, 184, 219, 243, 258, 266, 274, 286, 303, 323, 343, 359, 370, 374, 373, 369, 365, 363, 366, 375, 389, 403, 412, 413, 404, 386, 368, 353, 347, 350, 358, 366, 368, 362, 348, 328, 306, 283, 260, 238, 215, 191, 166, 140, 116, 95, 78, 65, 55, 47, 39, 31, 24, 19, 17, 19, 22, 26, 28, 28, 24, 20, 17, 16, 17, 21, 24, 26, 27, 29, 37, 53, 77, 108, 141, 172, 199, 222, 243, 265, 289, 313, 332, 341, 339, 326, 307, 285, 263, 241, 216, 187, 151, 113, 77, 50, 33, 28, 30, 36, 38, 36, 29, 20, 13, 10, 12, 18, 26, 32, 34, 32, 27, 21, 18, 17, 19, 23, 27, 27, 25, 20, 14, 7, 2, 0, 0, 0, 3, 7, 12, 18, 24, 28, 30, 29, 25, 18, 10, 2, 0, 0, 11, 28, 49, 68, 81, 87, 90, 93, 101, 115, 133, 149, 160, 162, 158, 150, 143, 138, 136, 131, 120, 102, 78, 54, 36, 26, 25, 30, 35, 35, 30, 21, 10, 2, 0, 0, 3, 8, 13, 15, 15, 11, 7, 4, 3, 5, 11, 18, 23, 25, 23, 17, 11, 4, 0, 0, 0, 0, 1, 2, 3, 4, 4, 3, 2, 0, 0, 0, 1, 3, 5, 7, 7, 7, 5, 3, 1, 0, 0, 0, 0, 1, 3, 4, 5, 5, 4, 1, 0, 0, 1, 4, 7, 9, 9, 7, 4, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 7, 15, 23, 29, 33, 37, 45, 60, 81, 106, 128, 142, 147, 145, 142, 142, 148, 154, 156, 146, 125, 96, 69, 50, 43, 48, 56, 62, 62, 57, 52, 53, 63, 81, 103, 125, 145, 164, 186, 211, 236, 257, 267, 265, 252, 235, 223, 222, 235, 256, 278, 292, 296, 289, 279, 273, 275, 286, 300, 311, 314, 307, 295, 286, 283, 290, 302, 311, 309, 293, 265, 230, 196, 167, 146, 130, 114, 95, 75, 55, 41, 34, 34, 39, 43, 44, 39, 29, 17, 6, 0, 0, 2, 9, 18, 26, 33, 36, 36, 32, 26, 20, 16, 18, 27, 42, 63, 85, 106, 123, 137, 152, 170, 194, 221, 247, 269, 281, 285, 286, 291, 308, 338, 381, 427, 469, 498, 508, 501, 478, 446, 408, 367, 326, 284, 244, 208, 179, 157, 143, 133, 122, 106, 85, 59, 33, 14, 6, 8, 18, 29, 36, 36, 30, 23, 18, 19, 25, 33, 38, 38, 31, 21, 10, 3, 0, 0, 2, 4, 6, 8, 9, 10, 11, 12, 11, 9, 6, 4, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 5, 5, 4, 3, 1, 0, 0, 0, 0, 1, 2, 3, 3, 2, 1, 0, 0, 0, 0, 2, 4, 7, 7, 6, 3, 0, 1, 7, 19, 35, 51, 65, 75, 83, 92, 105, 125, 152, 183, 214, 240, 258, 266, 263, 250, 228, 201, 173, 146, 126, 112, 103, 95, 86, 72, 54, 35, 19, 8, 5, 6, 11, 14, 15, 15, 15, 20, 30, 45, 64, 81, 95, 104, 110, 117, 128, 146, 172, 201, 229, 250, 262, 267, 268, 271, 281, 298, 320, 343, 361, 371, 370, 362, 350, 339, 331, 325, 318, 304, 282, 252, 217, 185, 160, 144, 135, 133, 133, 138, 148, 167, 194, 226, 258, 282, 295, 296, 288, 275, 263, 253, 245, 236, 223, 203, 177, 146, 116, 89, 70, 60, 56, 56, 55, 52, 46, 38, 30, 23, 19, 17, 14, 10, 6, 2, 0, 0, 2, 4, 6, 5, 2, 0, 0, 1, 6, 10, 13, 12, 8, 2, 0, 1, 8, 18, 26, 29, 27, 21, 17, 20, 32, 54, 80, 105, 122, 129, 128, 122, 116, 113, 111, 108, 102, 93, 81, 70, 63, 61, 63, 66, 66, 62, 53, 41, 30, 20, 13, 9, 7, 6, 9, 16, 26, 39, 52, 63, 70, 74, 78, 86, 101, 125, 156, 190, 223, 249, 265, 270, 262, 242, 214, 180, 146, 118, 98, 88, 86, 86, 83, 73, 58, 39, 20, 7, 0, 0, 0, 4, 6, 7, 7, 6, 5, 5, 4, 2, 0, 0, 0, 3, 8, 15, 23, 31, 39, 49, 62, 80, 100, 120, 135, 145, 147, 146, 144, 148, 158, 176, 199, 225, 250, 270, 284, 292, 294, 291, 287, 282, 278, 276, 275, 272, 267, 258, 243, 224, 203, 183, 166, 154, 146, 143, 144, 149, 158, 175, 199, 229, 261, 288, 306, 312, 307, 296, 285, 277, 272, 267, 259, 244, 223, 200, 178, 159, 144, 129, 112, 92, 69, 49, 35, 29, 30, 35, 38, 37, 35, 33, 38, 51, 72, 95, 116, 129, 133, 132, 131, 134, 145, 162, 181, 197, 209, 214, 213, 207, 196, 182, 163, 143, 123, 107, 94, 86, 79, 71, 60, 44, 28, 13, 3, 0, 0, 4, 8, 10, 10, 7, 4, 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, 1, 1, 1, 0, 0, 0, 0, 1, 3, 5, 5, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 10, 26, 48, 74, 100, 120, 134, 145, 155, 168, 184, 203, 219, 228, 227, 217, 201, 184, 170, 162, 157, 152, 146, 134, 115, 91, 65, 41, 24, 15, 15, 22, 30, 36, 36, 30, 20, 10, 2, 0, 0, 3, 7, 10, 12, 17, 24, 34, 46, 58, 68, 76, 83, 93, 106, 125, 149, 173, 196, 217, 235, 253, 270, 285, 296, 300, 294, 279, 256, 230, 203, 177, 155, 136, 120, 107, 94, 80, 66, 49, 33, 18, 8, 4, 5, 9, 12, 12, 10, 5, 2, 0, 2, 5, 8, 8, 6, 3, 0, 0, 0, 1, 3, 4, 3, 2, 0, 0, 0, 3, 8, 13, 15, 15, 12, 8, 4, 1, 0, 0, 0, 0, 1, 6, 12, 20, 30, 40, 52, 66, 84, 105, 128, 151, 173, 193, 212, 230, 247, 264, 277, 288, 296, 302, 307, 313, 319, 323, 321, 314, 301, 286, 274, 265, 261, 256, 246, 227, 199, 164, 131, 105, 89, 84, 84, 83, 78, 66, 52, 37, 26, 19, 15, 14, 12, 8, 4, 0, 0, 0, 4, 10, 15, 17, 15, 11, 5, 1, 0, 3, 9, 15, 20, 23, 23, 21, 18, 15, 12, 9, 7, 4, 2, 0, 0, 0, 1, 7, 14, 21, 25, 25, 20, 13, 6, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 9, 20, 30, 37, 37, 33, 27, 25, 33, 50, 74, 99, 119, 131, 133, 128, 121, 113, 108, 103, 98, 91, 84, 77, 71, 66, 61, 55, 47, 37, 27, 19, 15, 13, 14, 16, 18, 23, 29, 39, 50, 63, 73, 81, 87, 92, 102, 116, 137, 161, 183, 201, 211, 212, 208, 200, 193, 186, 181, 176, 170, 162, 151, 137, 121, 104, 87, 71, 58, 49, 43, 39, 35, 29, 22, 13, 5, 0, 0, 0, 3, 6, 8, 8, 7, 5, 3, 1, 0, 0, 0, 3, 7, 13, 21, 31, 40, 49, 58, 68, 79, 94, 112, 133, 151, 162, 162, 150, 129, 103, 81, 67, 63, 68, 78, 87, 93, 94, 91, 87, 85, 87, 94, 105, 119, 136, 152, 166, 177, 184, 188, 189, 190, 190, 188, 185, 177, 165, 151, 136, 125, 122, 126, 138, 154, 171, 185, 196, 207, 220, 237, 258, 282, 304, 323, 337, 348, 358, 368, 378, 385, 386, 377, 359, 336, 314, 298, 290, 289, 291, 288, 277, 255, 225, 193, 162, 139, 123, 115, 110, 105, 96, 83, 66, 48, 34, 24, 20, 19, 19, 19, 16, 13, 9, 6, 6, 8, 12, 17, 20, 22, 22, 20, 16, 12, 7, 4, 1, 0, 0, 0, 0, 0, 0, 0, 1, 4, 9, 17, 25, 32, 34, 32, 26, 19, 13, 14, 22, 38, 58, 78, 92, 98, 96, 91, 89, 97, 120, 154, 192, 226, 245, 246, 231, 210, 191, 182, 181, 186, 188, 184, 172, 156, 141, 130, 123, 116, 106, 89, 68, 45, 27, 15, 11, 12, 15, 17, 17, 14, 9, 5, 2, 0, 0, 0, 0, 2, 3, 4, 5, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 4, 5, 4, 3, 1, 0, 0, 0, 0, 0, 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, 2, 5, 9, 12, 13, 12, 10, 6, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 5, 8, 11, 11, 9, 6, 3, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 5, 11, 19, 30, 43, 58, 75, 92, 107, 117, 120, 117, 108, 96, 86, 80, 81, 89, 98, 106, 108, 103, 93, 83, 77, 78, 86, 96, 104, 106, 100, 91, 84, 84, 93, 111, 135, 160, 181, 197, 206, 210, 210, 208, 205, 204, 205, 210, 218, 227, 235, 238, 236, 229, 220, 211, 204, 199, 194, 187, 176, 162, 147, 134, 127, 124, 123, 120, 109, 92, 70, 49, 36, 31, 35, 43, 49, 50, 43, 30, 16, 4, 0, 0, 5, 15, 26, 36, 42, 44, 41, 35, 26, 17, 10, 4, 1, 0, 0, 0, 0, 3, 6, 10, 13, 14, 12, 9, 4, 0, 0, 0, 2, 5, 9, 11, 11, 9, 5, 2, 0, 0, 0, 2, 3, 4, 4, 3, 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, 1, 1, 0, 0, 0, 0, 3, 8, 13, 16, 16, 13, 7, 1, 0, 0, 6, 17, 31, 45, 57, 65, 70, 71, 72, 72, 75, 82, 91, 102, 112, 118, 117, 109, 95, 79, 65, 56, 52, 51, 51, 49, 42, 31, 21, 15, 13, 16, 21, 24, 23, 18, 10, 3, 0, 0, 0, 3, 6, 8, 8, 7, 4, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 5, 14, 27, 39, 47, 47, 40, 27, 16, 11, 17, 34, 58, 83, 100, 105, 99, 86, 71, 61, 58, 60, 64, 66, 63, 56, 48, 42, 41, 46, 55, 68, 81, 93, 102, 109, 112, 112, 110, 106, 104, 105, 109, 115, 118, 118, 112, 104, 96, 93, 97, 106, 118, 127, 130, 125, 117, 109, 107, 114, 131, 154, 179, 203, 222, 236, 246, 252, 254, 252, 245, 235, 225, 219, 217, 219, 220, 214, 199, 173, 139, 103, 74, 54, 46, 45, 48, 50, 47, 40, 31, 20, 11, 5, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 4, 7, 10, 12, 11, 8, 3, 0, 0, 0, 7, 16, 25, 33, 36, 36, 33, 30, 30, 34, 41, 53, 68, 85, 105, 123, 136, 141, 137, 126, 115, 109, 112, 123, 139, 150, 150, 139, 119, 98, 84, 81, 88, 96, 99, 91, 71, 45, 21, 5, 0, 6, 16, 24, 28, 26, 23, 23, 30, 41, 56, 68, 74, 72, 64, 55, 52, 56, 69, 85, 100, 108, 106, 98, 86, 77, 75, 79, 87, 93, 95, 90, 79, 66, 54, 46, 41, 39, 37, 33, 27, 19, 12, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 7, 6, 4, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 4, 10, 15, 17, 16, 11, 5, 0, 0, 6, 16, 28, 41, 52, 61, 66, 68, 67, 65, 63, 64, 68, 76, 83, 88, 87, 81, 74, 68, 68, 73, 79, 82, 78, 65, 48, 29, 16, 8, 6, 6, 6, 5, 3, 1, 0, 1, 1, 0, 0, 0, 2, 11, 23, 35, 42, 42, 36, 31, 31, 42, 63, 89, 114, 132, 141, 143, 144, 148, 156, 169, 182, 192, 200, 208, 216, 227, 236, 238, 231, 213, 188, 164, 147, 141, 143, 147, 145, 132, 107, 76, 45, 22, 11, 10, 16, 22, 24, 21, 14, 6, 0, 0, 2, 10, 18, 23, 24, 20, 13, 6, 2, 4, 12, 24, 35, 44, 48, 46, 41, 35, 32, 32, 37, 46, 57, 69, 81, 91, 97, 96, 89, 76, 61, 47, 40, 40, 47, 57, 66, 71, 70, 67, 64, 64, 69, 78, 88, 97, 102, 102, 99, 92, 82, 71, 58, 47, 38, 34, 36, 42, 50, 56, 57, 52, 41, 26, 12, 3, 0, 1, 6, 10, 11, 9, 4, 0, 0, 2, 7, 13, 15, 13, 8, 4, 4, 10, 20, 32, 41, 45, 46, 47, 52, 63, 81, 103, 127, 150, 171, 189, 203, 215, 226, 235, 246, 261, 280, 299, 317, 327, 328, 320, 306, 292, 283, 280, 282, 285, 285, 279, 267, 250, 233, 220, 213, 211, 213, 213, 209, 201, 191, 182, 179, 184, 195, 209, 220, 225, 225, 223, 225, 233, 247, 264, 277, 281, 274, 258, 239, 223, 213, 209, 210, 209, 204, 190, 170, 144, 117, 91, 70, 56, 48, 45, 45, 44, 41, 36, 28, 22, 17, 16, 17, 18, 17, 15, 10, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 3, 8, 13, 17, 18, 16, 13, 10, 11, 16, 24, 34, 42, 46, 46, 44, 43, 44, 49, 57, 65, 72, 75, 74, 69, 62, 55, 47, 41, 36, 33, 31, 31, 30, 29, 26, 22, 16, 11, 7, 4, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 6, 11, 16, 18, 17, 12, 6, 1, 0, 0, 5, 12, 20, 29, 38, 48, 59, 70, 81, 88, 90, 88, 82, 75, 69, 69, 74, 83, 94, 103, 109, 111, 109, 107, 105, 106, 107, 107, 107, 105, 104, 106, 114, 127, 142, 156, 166, 171, 174, 177, 182, 190, 198, 205, 208, 208, 208, 210, 217, 227, 237, 243, 244, 242, 241, 246, 260, 281, 302, 316, 318, 307, 289, 273, 263, 263, 269, 272, 266, 249, 226, 205, 193, 194, 206, 220, 230, 226, 209, 183, 154, 132, 122, 125, 139, 160, 180, 197, 209, 216, 222, 227, 231, 234, 233, 226, 214, 204, 199, 207, 227, 256, 284, 302, 303, 288, 263, 237, 220, 216, 222, 232, 240, 238, 228, 212, 197, 185, 179, 178, 176, 170, 159, 141, 122, 106, 96, 94, 100, 107, 111, 107, 92, 69, 43, 22, 10, 12, 23, 39, 53, 59, 55, 43, 27, 13, 4, 2, 6, 12, 19, 24, 26, 26, 23, 19, 15, 9, 5, 1, 1, 3, 7, 12, 17, 21, 25, 29, 33, 37, 38, 36, 30, 21, 12, 4, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 8, 7, 4, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 4, 5, 5, 4, 2, 0, 0, 1, 3, 5, 6, 6, 4, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 6, 7, 6, 3, 0, 1, 7, 18, 33, 48, 59, 67, 72, 78, 87, 98, 109, 114, 112, 105, 99, 100, 116, 147, 189, 232, 265, 281, 277, 256, 227, 199, 179, 172, 176, 188, 202, 216, 225, 231, 233, 231, 227, 218, 205, 190, 173, 158, 145, 135, 129, 124, 120, 115, 109, 100, 91, 80, 70, 60, 53, 48, 47, 48, 51, 53, 53, 50, 45, 37, 29, 22, 16, 11, 6, 2, 0, 0, 2, 8, 14, 20, 23, 22, 20, 20, 24, 32, 43, 54, 63, 68, 69, 69, 72, 78, 87, 98, 106, 111, 111, 110, 110, 117, 132, 153, 177, 200, 218, 232, 243, 255, 267, 277, 282, 277, 263, 244, 227, 219, 223, 239, 260, 279, 290, 290, 280, 265, 251, 241, 238, 238, 241, 240, 235, 226, 214, 203, 197, 198, 206, 219, 232, 243, 250, 253, 254, 254, 254, 250, 240, 224, 202, 176, 153, 135, 126, 124, 129, 135, 139, 140, 138, 135, 131, 128, 126, 122, 115, 104, 91, 79, 73, 75, 87, 105, 126, 143, 155, 160, 161, 161, 161, 164, 168, 173, 177, 179, 179, 178, 174, 168, 162, 155, 150, 148, 149, 150, 150, 145, 136, 123, 109, 96, 85, 75, 64, 52, 39, 29, 24, 26, 34, 44, 50, 50, 43, 30, 17, 6, 0, 0, 0, 1, 4, 6, 8, 10, 12, 13, 12, 10, 7, 4, 1, 0, 0, 0, 2, 4, 5, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 4, 5, 6, 5, 3, 1, 0, 0, 2, 5, 6, 6, 4, 1, 0, 0, 3, 11, 21, 32, 42, 50, 54, 54, 50, 43, 34, 27, 25, 28, 38, 52, 67, 78, 84, 84, 82, 79, 78, 81, 88, 97, 108, 119, 128, 134, 134, 129, 118, 102, 86, 71, 60, 55, 56, 62, 71, 81, 87, 86, 78, 63, 48, 37, 35, 44, 61, 79, 93, 101, 106, 113, 126, 146, 170, 190, 202, 203, 199, 197, 204, 222, 248, 272, 288, 292, 286, 277, 270, 272, 281, 292, 299, 298, 288, 273, 260, 252, 252, 255, 256, 250, 235, 213, 188, 168, 155, 152, 154, 158, 159, 153, 141, 125, 107, 91, 77, 66, 59, 55, 54, 54, 53, 51, 46, 37, 27, 17, 9, 4, 1, 0, 0, 0, 2, 6, 13, 19, 23, 23, 19, 13, 7, 2, 0, 0, 0, 0, 3, 7, 12, 17, 18, 16, 12, 7, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 2, 1, 0, 0, 0, 0, 2, 4, 5, 6, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 6, 8, 9, 8, 6, 3, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 4, 7, 10, 11, 9, 6, 3, 0, 0, 0, 1, 2, 3, 3, 2, 1, 0, 0, 1, 2, 3, 4, 3, 2, 0, 0, 0, 0, 2, 3, 4, 4, 3, 1, 0, 0, 0, 0, 0, 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, 1, 3, 5, 8, 10, 12, 14, 17, 21, 28, 38, 50, 61, 66, 63, 53, 37, 23, 15, 18, 30, 47, 62, 71, 71, 65, 57, 51, 51, 57, 65, 73, 77, 77, 73, 64, 53, 43, 34, 29, 27, 27, 27, 25, 22, 18, 16, 18, 24, 34, 42, 46, 43, 33, 20, 7, 0, 0, 3, 12, 22, 28, 29, 26, 20, 17, 19, 27, 38, 50, 58, 59, 54, 46, 39, 38, 43, 53, 68, 82, 95, 103, 108, 111, 114, 118, 124, 131, 138, 144, 149, 152, 156, 164, 177, 197, 221, 246, 266, 278, 281, 275, 264, 255, 251, 257, 273, 296, 321, 344, 360, 368, 367, 362, 355, 350, 349, 353, 360, 369, 377, 383, 385, 381, 371, 353, 330, 307, 289, 281, 284, 297, 313, 325, 327, 315, 292, 264, 238, 220, 212, 212, 219, 225, 228, 225, 216, 203, 190, 178, 169, 162, 156, 151, 144, 137, 128, 119, 111, 102, 94, 85, 75, 64, 54, 47, 43, 45, 50, 55, 57, 53, 43, 32, 24, 22, 27, 38, 49, 56, 56, 50, 41, 33, 29, 33, 41, 52, 62, 67, 67, 61, 52, 43, 37, 35, 36, 39, 41, 41, 40, 40, 44, 52, 63, 74, 81, 82, 80, 77, 78, 84, 94, 102, 105, 100, 89, 76, 65, 59, 60, 67, 75, 83, 89, 91, 89, 85, 78, 71, 64, 58, 54, 49, 43, 35, 27, 21, 18, 21, 28, 37, 44, 46, 42, 32, 20, 8, 0, 0, 0, 6, 13, 19, 21, 18, 13, 7, 2, 0, 0, 1, 3, 3, 2, 0, 0, 0, 3, 8, 13, 15, 15, 11, 6, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 3, 6, 11, 16, 20, 23, 25, 24, 21, 16, 10, 6, 6, 13, 25, 41, 58, 71, 77, 76, 68, 58, 53, 56, 69, 91, 117, 139, 153, 155, 151, 145, 145, 155, 173, 192, 208, 213, 208, 196, 185, 177, 176, 178, 181, 182, 182, 181, 183, 188, 194, 198, 196, 189, 179, 168, 161, 157, 155, 153, 150, 144, 135, 125, 115, 105, 94, 82, 71, 60, 53, 49, 48, 50, 52, 53, 53, 52, 49, 46, 42, 37, 31, 24, 20, 18, 20, 25, 30, 35, 35, 30, 22, 14, 9, 10, 20, 36, 56, 75, 88, 92, 85, 72, 59, 50, 52, 64, 82, 101, 114, 117, 112, 106, 107, 118, 140, 167, 190, 200, 195, 177, 155, 138, 135, 146, 169, 197, 222, 238, 245, 244, 237, 229, 221, 212, 202, 192, 183, 177, 174, 176, 181, 185, 185, 180, 169, 154, 138, 125, 115, 110, 109, 110, 109, 106, 97, 84, 68, 51, 36, 28, 27, 32, 41, 48, 51, 49, 42, 34, 28, 24, 23, 22, 19, 14, 8, 2, 0, 0, 3, 8, 13, 16, 15, 11, 6, 2, 0, 0, 0, 0, 1, 1, 2, 3, 4, 6, 6, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 8, 12, 14, 14, 11, 7, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 4, 9, 14, 17, 17, 13, 8, 3, 0, 0, 0, 0, 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, 1, 2, 3, 3, 2, 1, 0, 0, 1, 5, 11, 15, 16, 13, 8, 2, 0, 1, 9, 20, 30, 37, 37, 31, 23, 14, 10, 11, 17, 25, 32, 36, 37, 36, 33, 30, 27, 23, 18, 14, 13, 17, 28, 45, 64, 78, 85, 83, 74, 63, 57, 57, 63, 73, 81, 84, 81, 75, 68, 62, 59, 58, 56, 52, 46, 41, 38, 40, 48, 59, 72, 82, 87, 87, 85, 85, 89, 95, 102, 104, 99, 88, 75, 66, 65, 72, 84, 97, 108, 115, 122, 131, 141, 151, 157, 158, 153, 144, 136, 131, 130, 130, 130, 127, 124, 121, 123, 130, 141, 151, 159, 162, 161, 159, 159, 162, 167, 171, 173, 171, 163, 152, 141, 132, 127, 126, 127, 128, 127, 121, 111, 100, 89, 82, 82, 87, 94, 98, 97, 89, 75, 59, 46, 38, 35, 35, 34, 30, 23, 14, 5, 0, 0, 0, 1, 2, 1, 0, 0, 2, 8, 16, 23, 25, 23, 17, 9, 3, 0, 0, 0, 0, 0, 0, 0, 2, 3, 4, 4, 2, 0, 0, 1, 6, 13, 19, 21, 19, 13, 6, 2, 3, 8, 14, 18, 18, 13, 7, 1, 0, 0, 6, 16, 27, 39, 49, 57, 63, 64, 61, 55, 44, 32, 22, 17, 20, 30, 48, 67, 84, 94, 98, 95, 89, 83, 77, 71, 63, 54, 43, 35, 32, 37, 50, 65, 79, 85, 82, 71, 59, 52, 55, 69, 90, 109, 122, 123, 115, 103, 93, 92, 100, 116, 133, 145, 150, 148, 143, 139, 137, 136, 136, 135, 133, 135, 144, 163, 190, 219, 241, 248, 239, 216, 187, 162, 147, 147, 159, 178, 198, 215, 226, 231, 232, 230, 225, 217, 209, 201, 193, 185, 178, 171, 163, 156, 151, 149, 147, 145, 138, 125, 108, 90, 77, 74, 80, 92, 102, 102, 89, 66, 41, 21, 14, 18, 29, 39, 43, 37, 26, 15, 8, 8, 13, 19, 22, 20, 14, 6, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 5, 7, 9, 9, 7, 4, 2, 0, 0, 0, 0, 0, 1, 5, 10, 15, 18, 17, 13, 7, 2, 0, 2, 6, 10, 12, 12, 9, 6, 5, 6, 9, 12, 13, 12, 8, 3, 0, 0, 0, 1, 3, 3, 2, 1, 0, 0, 2, 4, 7, 8, 8, 6, 3, 1, 0, 0, 0, 1, 2, 4, 5, 5, 5, 4, 2, 1, 0, 0, 0, 1, 4, 7, 10, 10, 9, 6, 2, 0, 0, 0, 3, 6, 7, 8, 8, 6, 4, 1, 0, 0, 0, 5, 14, 26, 38, 48, 54, 55, 54, 51, 47, 42, 38, 35, 33, 35, 41, 51, 62, 72, 76, 76, 72, 68, 66, 68, 72, 78, 82, 86, 89, 93, 100, 107, 113, 114, 110, 102, 91, 81, 76, 77, 81, 88, 92, 93, 88, 79, 68, 59, 52, 48, 45, 42, 35, 25, 14, 4, 0, 1, 9, 21, 30, 35, 31, 22, 11, 2, 0, 0, 6, 13, 18, 19, 17, 12, 8, 5, 4, 3, 2, 2, 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, 1, 2, 2, 2, 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, 2, 4, 6, 7, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 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, 1, 5, 8, 11, 12, 10, 7, 3, 0, 0, 0, 2, 5, 10, 16, 22, 26, 28, 28, 24, 18, 14, 13, 17, 26, 39, 52, 61, 66, 63, 55, 42, 28, 15, 5, 0, 0, 2, 5, 8, 12, 17, 23, 30, 35, 37, 35, 28, 18, 8, 1, 0, 2, 7, 13, 18, 20, 19, 17, 13, 10, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 8, 10, 10, 9, 6, 3, 0, 0, 0, 0, 2, 3, 4, 4, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 9, 15, 19, 21, 20, 18, 17, 19, 25, 33, 40, 46, 47, 45, 40, 34, 31, 32, 38, 47, 57, 65, 67, 64, 55, 45, 37, 35, 38, 45, 52, 56, 57, 55, 52, 50, 50, 53, 57, 61, 64, 66, 67, 67, 68, 68, 68, 68, 66, 63, 59, 56, 52, 50, 50, 50, 49, 48, 43, 37, 31, 28, 30, 37, 50, 65, 76, 80, 75, 64, 52, 44, 43, 51, 63, 75, 80, 76, 63, 45, 28, 18, 16, 22, 33, 44, 54, 60, 62, 62, 59, 54, 47, 39, 30, 23, 20, 20, 23, 27, 31, 32, 29, 23, 14, 5, 0, 0, 3, 14, 28, 43, 52, 55, 51, 43, 35, 30, 30, 33, 36, 37, 33, 26, 19, 16, 18, 24, 33, 41, 46, 47, 48, 48, 50, 54, 59, 65, 70, 75, 80, 86, 93, 101, 108, 114, 116, 114, 109, 103, 97, 94, 94, 97, 103, 109, 112, 111, 106, 96, 86, 78, 76, 79, 87, 96, 103, 105, 102, 94, 85, 78, 72, 70, 70, 72, 74, 76, 75, 71, 64, 54, 42, 32, 25, 22, 21, 20, 18, 14, 9, 5, 1, 0, 0, 0, 1, 3, 6, 9, 11, 12, 10, 7, 4, 1, 0, 0, 1, 4, 7, 8, 8, 6, 4, 1, 0, 0, 0, 3, 7, 11, 14, 15, 13, 8, 3, 0, 0, 3, 13, 26, 40, 51, 57, 56, 51, 43, 35, 30, 28, 29, 31, 34, 38, 44, 54, 67, 82, 98, 110, 117, 120, 117, 113, 107, 104, 101, 101, 103, 105, 105, 104, 99, 92, 85, 81, 84, 94, 111, 130, 145, 152, 150, 140, 127, 116, 109, 108, 109, 110, 109, 105, 100, 95, 92, 91, 90, 89, 86, 81, 75, 69, 65, 64, 66, 70, 75, 79, 80, 78, 76, 74, 76, 80, 87, 93, 95, 91, 82, 68, 52, 38, 29, 27, 32, 43, 59, 76, 89, 95, 91, 80, 63, 46, 33, 27, 27, 33, 40, 47, 52, 52, 49, 42, 32, 20, 8, 0, 0, 4, 19, 39, 61, 76, 80, 71, 54, 34, 19, 13, 19, 34, 53, 71, 82, 86, 82, 71, 57, 44, 36, 34, 41, 54, 71, 88, 99, 103, 99, 89, 78, 70, 68, 73, 83, 95, 106, 111, 109, 102, 94, 88, 90, 100, 117, 135, 150, 158, 160, 158, 157, 161, 170, 181, 189, 189, 179, 163, 145, 132, 128, 133, 143, 154, 160, 160, 156, 149, 143, 140, 140, 140, 139, 134, 127, 121, 118, 121, 129, 141, 150, 152, 145, 130, 112, 98, 92, 97, 110, 123, 132, 132, 126, 117, 110, 107, 110, 114, 117, 115, 110, 102, 95, 90, 89, 89, 89, 87, 82, 74, 65, 56, 48, 43, 40, 42, 47, 55, 63, 69, 71, 67, 60, 52, 48, 51, 60, 73, 83, 87, 81, 68, 51, 37, 32, 37, 52, 70, 86, 94, 93, 87, 81, 84, 98, 122, 150, 174, 186, 184, 173, 160, 154, 158, 172, 188, 198, 196, 181, 159, 139, 128, 131, 142, 156, 164, 165, 160, 155, 158, 172, 196, 224, 247, 258, 255, 239, 217, 195, 181, 177, 182, 191, 200, 202, 197, 186, 175, 170, 176, 194, 217, 239, 250, 247, 231, 210, 193, 185, 188, 197, 206, 207, 198, 182, 165, 155, 154, 162, 176, 190, 201, 207, 208, 205, 198, 188, 174, 160, 149, 144, 146, 153, 158, 156, 144, 124, 102, 86, 81, 87, 98, 107, 109, 100, 85, 68, 56, 52, 56, 66, 78, 88, 94, 94, 86, 73, 56, 39, 26, 21, 23, 33, 46, 55, 58, 52, 40, 28, 20, 19, 26, 36, 46, 52, 53, 50, 46, 43, 42, 42, 39, 32, 23, 13, 8, 9, 16, 28, 40, 49, 54, 54, 51, 48, 46, 44, 42, 40, 36, 32, 29, 30, 36, 47, 61, 74, 83, 87, 82, 72, 58, 45, 36, 35, 41, 50, 59, 65, 64, 57, 47, 38, 35, 38, 45, 52, 57, 57, 54, 50, 50, 54, 63, 71, 76, 75, 70, 62, 57, 56, 59, 62, 63, 61, 55, 49, 46, 47, 51, 56, 58, 58, 55, 52, 52, 54, 56, 56, 51, 42, 32, 26, 25, 30, 39, 47, 49, 45, 36, 25, 16, 10, 8, 9, 11, 13, 15, 16, 18, 19, 18, 16, 12, 10, 10, 13, 19, 24, 27, 27, 23, 17, 10, 5, 3, 3, 4, 6, 8, 7, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 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, 2, 6, 10, 12, 13, 11, 7, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 5, 8, 9, 8, 5, 1, 0, 0, 3, 5, 7, 6, 2, 0, 0, 3, 10, 17, 21, 21, 16, 9, 4, 1, 3, 7, 11, 12, 9, 6, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 4, 3, 1, 0, 0, 0, 4, 7, 10, 11, 9, 6, 2, 1, 2, 4, 6, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 2, 1, 0, 0, 0, 1, 4, 6, 7, 7, 6, 3, 1, 0, 0, 0, 0],
"peakT": [0, 1, 3, 7, 13, 18, 22, 21, 15, 8, 0, 0, 0, 17, 48, 90, 136, 176, 201, 209, 201, 186, 173, 172, 186, 214, 250, 287, 321, 348, 365, 376, 383, 390, 398, 409, 421, 430, 432, 426, 412, 395, 383, 379, 385, 395, 403, 402, 387, 362, 333, 308, 293, 291, 297, 305, 310, 310, 305, 299, 296, 296, 300, 303, 302, 294, 280, 263, 247, 236, 232, 235, 242, 251, 259, 264, 266, 264, 261, 256, 249, 242, 234, 223, 209, 190, 167, 141, 114, 90, 70, 57, 52, 53, 57, 61, 60, 54, 42, 26, 11, 2, 4, 16, 37, 60, 79, 87, 83, 68, 47, 29, 20, 27, 51, 90, 138, 187, 231, 265, 289, 308, 327, 354, 390, 434, 482, 525, 558, 578, 587, 588, 586, 583, 578, 570, 555, 533, 506, 477, 446, 415, 380, 340, 295, 250, 209, 177, 154, 138, 122, 102, 75, 48, 27, 21, 33, 59, 90, 120, 142, 160, 180, 209, 252, 305, 358, 402, 429, 439, 437, 431, 425, 418, 405, 379, 333, 270, 198, 129, 76, 46, 40, 50, 65, 73, 70, 56, 35, 15, 2, 0, 0, 4, 8, 9, 7, 3, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 4, 3, 0, 0, 0, 2, 6, 12, 16, 18, 15, 10, 4, 0, 0, 2, 8, 14, 18, 18, 15, 9, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 5, 3, 0, 0, 1, 7, 13, 19, 22, 21, 16, 10, 3, 0, 0, 0, 5, 14, 26, 37, 44, 45, 38, 28, 15, 6, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 4, 5, 4, 3, 2, 1, 1, 0, 0, 0, 0, 5, 12, 21, 28, 31, 28, 21, 13, 6, 2, 3, 6, 10, 12, 11, 8, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 3, 2, 1, 0, 1, 1, 0, 0, 0, 3, 22, 62, 127, 218, 328, 448, 566, 668, 745, 785, 785, 743, 665, 562, 449, 347, 271, 236, 244, 292, 367, 452, 529, 583, 604, 591, 546, 477, 393, 306, 224, 152, 96, 54, 25, 8, 0, 0, 0, 5, 10, 14, 15, 12, 7, 2, 0, 0, 2, 3, 2, 0, 0, 6, 32, 79, 147, 231, 323, 412, 488, 543, 571, 568, 532, 465, 376, 274, 176, 93, 35, 4, 0, 2, 13, 22, 26, 23, 18, 11, 5, 0, 0, 0, 3, 12, 23, 34, 39, 36, 26, 13, 3, 0, 6, 18, 29, 35, 33, 24, 13, 3, 0, 0, 0, 3, 5, 4, 2, 0, 0, 0, 3, 9, 16, 22, 23, 19, 12, 4, 0, 0, 4, 15, 25, 31, 30, 22, 11, 2, 0, 3, 12, 22, 29, 29, 24, 15, 6, 0, 0, 0, 0, 2, 3, 4, 3, 2, 0, 0, 0, 0, 6, 13, 16, 15, 14, 23, 59, 134, 252, 405, 569, 715, 814, 848, 811, 715, 579, 429, 288, 173, 90, 38, 10, 0, 0, 7, 39, 103, 207, 347, 510, 672, 805, 884, 895, 835, 718, 566, 404, 257, 140, 61, 17, 0, 0, 4, 8, 8, 4, 1, 0, 0, 2, 6, 9, 11, 10, 8, 6, 3, 2, 1, 1, 0, 0, 0, 0, 3, 9, 18, 26, 32, 33, 29, 22, 13, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 6, 12, 17, 20, 19, 16, 10, 4, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 4, 9, 13, 15, 14, 11, 7, 3, 1, 0, 0, 0, 0, 2, 8, 15, 22, 26, 25, 20, 12, 5, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 6, 11, 15, 17, 15, 11, 6, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 6, 5, 0, 0, 1, 34, 107, 227, 385, 562, 727, 846, 895, 861, 752, 595, 426, 289, 222, 245, 357, 532, 727, 891, 982, 975, 872, 700, 496, 304, 153, 56, 9, 0, 0, 5, 6, 4, 0, 0, 0, 0, 2, 3, 4, 6, 9, 13, 17, 20, 20, 17, 9, 0, 0, 3, 36, 102, 203, 331, 469, 593, 679, 710, 678, 588, 459, 317, 186, 86, 25, 0, 0, 0, 6, 7, 4, 0, 0, 0, 0, 5, 12, 18, 21, 22, 18, 12, 6, 1, 0, 0, 3, 7, 10, 12, 12, 11, 9, 6, 3, 0, 0, 0, 0, 8, 14, 14, 4, 0, 0, 31, 125, 282, 487, 707, 894, 1009, 1023, 939, 777, 575, 376, 209, 93, 27, 0, 0, 1, 5, 5, 1, 0, 0, 0, 5, 13, 21, 27, 30, 29, 27, 23, 18, 11, 1, 0, 1, 40, 126, 264, 443, 633, 793, 883, 879, 778, 605, 403, 224, 110, 89, 164, 314, 504, 689, 829, 895, 875, 775, 619, 439, 269, 135, 47, 5, 0, 0, 6, 7, 3, 0, 0, 4, 18, 34, 47, 51, 46, 34, 19, 6, 0, 0, 5, 11, 15, 14, 10, 5, 0, 0, 0, 2, 5, 7, 8, 6, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 6, 10, 12, 13, 10, 7, 3, 0, 0, 0, 0, 2, 3, 3, 2, 0, 0, 0, 2, 6, 11, 15, 16, 14, 10, 5, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 4, 5, 4, 1, 0, 0, 0, 2, 8, 11, 8, 0, 0, 4, 49, 137, 263, 407, 536, 618, 629, 564, 440, 289, 151, 61, 45, 108, 242, 420, 608, 765, 858, 865, 785, 635, 450, 270, 127, 37, 0, 0, 2, 10, 11, 6, 0, 0, 0, 0, 2, 2, 2, 2, 4, 7, 11, 13, 12, 9, 5, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 5, 4, 3, 1, 0, 0, 0, 1, 3, 5, 5, 2, 0, 0, 0, 0, 7, 12, 9, 0, 0, 12, 78, 212, 411, 651, 884, 1051, 1104, 1024, 825, 559, 298, 111, 45, 110, 278, 496, 698, 830, 863, 795, 652, 473, 298, 157, 63, 16, 0, 1, 4, 4, 0, 0, 1, 10, 21, 30, 34, 32, 29, 24, 20, 13, 2, 0, 0, 32, 120, 264, 449, 640, 791, 862, 833, 710, 527, 331, 165, 54, 0, 0, 0, 11, 13, 8, 0, 0, 0, 1, 6, 9, 8, 5, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 8, 10, 12, 13, 12, 10, 8, 6, 4, 4, 5, 4, 3, 1, 2, 6, 12, 16, 12, 0, 0, 0, 51, 163, 336, 546, 750, 901, 959, 907, 761, 558, 348, 173, 58, 2, 0, 0, 10, 13, 8, 1, 0, 0, 0, 3, 5, 4, 2, 0, 0, 3, 7, 11, 14, 15, 13, 8, 1, 0, 0, 0, 5, 12, 13, 6, 0, 0, 33, 126, 285, 493, 711, 888, 975, 942, 796, 570, 321, 112, 0, 0, 105, 307, 549, 775, 932, 984, 922, 766, 558, 346, 172, 57, 3, 0, 0, 10, 13, 8, 0, 0, 0, 0, 6, 12, 15, 15, 12, 6, 0, 0, 0, 1, 11, 18, 16, 3, 0, 0, 52, 172, 355, 571, 772, 899, 912, 801, 592, 343, 123, 0, 0, 126, 352, 619, 860, 1017, 1055, 970, 788, 559, 334, 157, 46, 0, 0, 4, 13, 13, 6, 0, 0, 3, 12, 20, 22, 19, 11, 4, 0, 0, 1, 5, 9, 11, 10, 7, 3, 0, 0, 0, 2, 5, 8, 9, 8, 5, 3, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 8, 14, 19, 19, 15, 9, 3, 0, 0, 3, 7, 8, 8, 5, 3, 3, 4, 6, 7, 7, 5, 2, 0, 0, 1, 7, 14, 19, 23, 22, 18, 12, 5, 1, 0, 0, 0, 4, 7, 10, 10, 8, 4, 1, 1, 3, 7, 10, 10, 5, 0, 0, 0, 8, 14, 11, 0, 0, 0, 61, 189, 382, 612, 829, 980, 1021, 943, 767, 541, 319, 145, 38, 0, 0, 5, 16, 18, 13, 7, 4, 7, 11, 13, 13, 9, 4, 0, 0, 1, 5, 7, 6, 3, 0, 0, 1, 12, 28, 44, 56, 58, 49, 34, 18, 5, 0, 0, 0, 4, 6, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 8, 14, 18, 21, 21, 19, 13, 7, 0, 0, 0, 7, 19, 32, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 40, 40, 32, 21, 14, 13, 15, 13, 3, 0, 0, 36, 144, 320, 541, 758, 916, 970, 905, 741, 524, 309, 140, 37, 0, 0, 4, 13, 13, 6, 0, 0, 0, 0, 4, 6, 6, 4, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 8, 20, 31, 38, 37, 28, 15, 5, 3, 9, 15, 15, 4, 0, 0, 41, 152, 326, 538, 740, 880, 920, 850, 692, 489, 292, 136, 40, 0, 0, 2, 10, 11, 6, 0, 0, 0, 2, 12, 22, 31, 36, 36, 31, 22, 12, 4, 0, 0, 0, 4, 6, 6, 3, 0, 0, 0, 3, 16, 25, 24, 9, 0, 0, 33, 146, 326, 547, 756, 896, 928, 841, 663, 445, 242, 94, 15, 0, 4, 22, 30, 24, 11, 0, 0, 0, 3, 10, 12, 11, 6, 2, 1, 3, 8, 12, 15, 14, 11, 6, 1, 0, 0, 1, 8, 17, 26, 33, 35, 33, 27, 18, 9, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 7, 9, 9, 6, 3, 1, 4, 11, 19, 25, 26, 20, 11, 3, 1, 5, 14, 23, 28, 26, 19, 11, 3, 0, 0, 0, 0, 0, 1, 2, 4, 7, 8, 8, 7, 3, 0, 0, 0, 2, 6, 10, 12, 12, 10, 6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 6, 10, 11, 11, 8, 5, 1, 0, 0, 0, 2, 3, 2, 0, 0, 0, 3, 8, 13, 16, 16, 13, 8, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 2, 0, 0, 0, 3, 8, 15, 20, 22, 21, 17, 12, 8, 6, 7, 8, 9, 9, 6, 4, 2, 0, 0, 0, 0, 0, 0, 2, 7, 12, 16, 17, 14, 8, 2, 0, 0, 4, 11, 18, 21, 20, 15, 8, 3, 0, 0, 1, 1, 1, 0, 0, 2, 9, 18, 26, 30, 28, 22, 13, 6, 1, 0, 0, 0, 0, 2, 6, 11, 15, 16, 13, 8, 2, 0, 2, 7, 15, 20, 21, 18, 11, 5, 0, 0, 0, 1, 4, 7, 9, 10, 8, 6, 3, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 9, 17, 24, 28, 26, 21, 13, 6, 0, 0, 0, 0, 5, 10, 15, 19, 19, 17, 11, 5, 0, 0, 0, 6, 12, 18, 21, 20, 15, 9, 3, 0, 0, 2, 6, 10, 12, 13, 11, 8, 5, 2, 0, 0, 2, 10, 20, 27, 23, 8, 0, 0, 39, 159, 354, 600, 844, 1025, 1093, 1028, 849, 608, 364, 168, 47, 0, 0, 3, 15, 20, 20, 21, 27, 35, 41, 40, 32, 20, 8, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 3, 8, 13, 16, 16, 13, 9, 4, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 6, 15, 23, 29, 30, 26, 18, 9, 2, 0, 0, 0, 3, 5, 7, 7, 5, 3, 4, 8, 18, 28, 31, 22, 1, 0, 0, 68, 212, 419, 652, 852, 966, 960, 838, 637, 411, 213, 77, 8, 0, 0, 10, 15, 12, 6, 2, 2, 5, 8, 8, 6, 3, 0, 0, 0, 3, 9, 16, 24, 31, 36, 36, 32, 25, 16, 8, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 3, 11, 22, 32, 39, 39, 34, 24, 14, 5, 0, 0, 0, 2, 7, 14, 19, 23, 24, 21, 15, 9, 3, 0, 0, 0, 0, 0, 1, 2, 3, 4, 3, 0, 0, 0, 3, 14, 29, 39, 36, 19, 0, 0, 25, 128, 301, 522, 741, 903, 960, 893, 716, 476, 233, 48, 0, 9, 166, 402, 659, 871, 984, 970, 836, 623, 390, 192, 60, 0, 0, 2, 15, 18, 10, 0, 0, 0, 0, 5, 6, 4, 2, 2, 6, 13, 21, 26, 25, 20, 13, 6, 0, 0, 0, 1, 5, 10, 16, 23, 27, 29, 28, 23, 16, 8, 2, 0, 0, 2, 10, 20, 29, 34, 32, 25, 15, 6, 0, 0, 2, 7, 12, 16, 20, 23, 26, 29, 29, 24, 15, 4, 0, 0, 2, 13, 20, 14, 0, 0, 4, 80, 228, 436, 664, 858, 962, 946, 816, 609, 383, 190, 61, 0, 0, 0, 8, 9, 5, 2, 2, 3, 0, 0, 0, 26, 104, 234, 398, 561, 678, 715, 660, 529, 361, 200, 79, 11, 0, 0, 8, 14, 12, 5, 0, 0, 0, 0, 5, 8, 11, 12, 12, 10, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 3, 7, 12, 15, 16, 15, 11, 8, 6, 4, 5, 5, 6, 5, 4, 2, 0, 0, 0, 1, 4, 8, 10, 10, 7, 3, 1, 0, 3, 7, 10, 10, 8, 4, 1, 0, 0, 4, 8, 10, 9, 7, 3, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 8, 7, 5, 3, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 9, 17, 25, 29, 28, 22, 13, 5, 0, 0, 0, 1, 3, 3, 1, 0, 0, 0, 3, 9, 15, 18, 17, 13, 7, 2, 1, 3, 8, 11, 11, 8, 2, 0, 0, 7, 21, 37, 46, 40, 19, 0, 0, 29, 144, 334, 573, 807, 974, 1027, 949, 765, 527, 296, 120, 19, 0, 0, 17, 33, 36, 29, 18, 8, 2, 1, 2, 3, 5, 6, 5, 3, 0, 0, 0, 5, 12, 18, 22, 21, 17, 10, 3, 0, 0, 0, 3, 6, 8, 8, 6, 4, 2, 0, 0, 0, 0, 0, 2, 4, 5, 3, 0, 0, 0, 0, 9, 21, 27, 19, 0, 0, 0, 67, 205, 401, 614, 790, 878, 850, 716, 517, 309, 139, 34, 0, 0, 6, 18, 18, 9, 0, 0, 0, 5, 17, 27, 33, 32, 26, 17, 8, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 9, 15, 14, 5, 0, 0, 29, 104, 221, 358, 483, 560, 564, 493, 362, 208, 70, 0, 0, 70, 233, 439, 637, 778, 823, 762, 615, 426, 242, 101, 20, 0, 0, 12, 21, 20, 12, 2, 0, 0, 0, 7, 13, 14, 11, 5, 0, 0, 0, 8, 14, 12, 0, 0, 0, 45, 144, 291, 458, 604, 688, 686, 598, 452, 287, 145, 47, 0, 0, 0, 9, 12, 9, 3, 0, 0, 2, 3, 3, 3, 4, 6, 10, 12, 12, 9, 5, 2, 2, 5, 7, 8, 5, 0, 0, 0, 3, 9, 11, 5, 0, 0, 27, 108, 246, 429, 623, 782, 865, 844, 720, 523, 299, 106, 0, 0, 91, 280, 502, 698, 812, 816, 712, 536, 338, 167, 52, 0, 0, 2, 14, 16, 9, 0, 0, 0, 4, 14, 22, 27, 29, 27, 24, 20, 15, 11, 7, 3, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 7, 12, 16, 16, 13, 8, 3, 0, 0, 2, 6, 10, 11, 10, 7, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 6, 15, 24, 30, 31, 26, 17, 8, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 8, 17, 29, 38, 44, 43, 36, 26, 16, 7, 3, 1, 0, 0, 0, 0, 0, 2, 6, 8, 5, 0, 0, 5, 44, 117, 220, 332, 427, 476, 465, 398, 293, 179, 84, 22, 0, 0, 2, 9, 10, 6, 1, 0, 0, 0, 1, 3, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 4, 9, 15, 20, 21, 18, 12, 5, 0, 0, 0, 3, 6, 8, 9, 7, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 5, 5, 3, 2, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 5, 5, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 3, 7, 11, 13, 12, 10, 7, 6, 7, 9, 11, 11, 9, 6, 2, 0, 0, 0, 0, 0, 0, 1, 2, 4, 4, 3, 0, 0, 0, 0, 9, 17, 16, 4, 0, 0, 39, 148, 321, 532, 736, 877, 915, 840, 674, 465, 264, 112, 25, 0, 0, 3, 8, 5, 1, 0, 1, 1, 0, 0, 4, 48, 138, 271, 425, 564, 650, 657, 582, 448, 291, 150, 51, 1, 0, 0, 12, 21, 22, 20, 18, 17, 17, 16, 12, 5, 0, 0, 0, 5, 14, 18, 10, 0, 0, 13, 94, 241, 441, 653, 826, 909, 880, 747, 548, 337, 162, 48, 0, 0, 1, 16, 25, 29, 31, 36, 39, 40, 35, 25, 13, 4, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 5, 9, 13, 15, 14, 10, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 3, 8, 14, 18, 19, 16, 11, 5, 1, 0, 0, 0, 0, 0, 1, 3, 5, 6, 5, 3, 1, 0, 0, 4, 9, 14, 17, 15, 11, 5, 0, 0, 0, 3, 6, 7, 5, 2, 0, 0, 2, 7, 13, 16, 17, 14, 9, 3, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 3, 7, 12, 15, 15, 13, 10, 6, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 4, 8, 11, 12, 11, 8, 5, 2, 0, 0, 0, 1, 4, 9, 13, 16, 17, 15, 12, 8, 3, 0, 0, 0, 0, 9, 18, 21, 13, 0, 0, 5, 71, 197, 372, 561, 718, 799, 780, 668, 496, 309, 151, 47, 0, 0, 1, 11, 14, 9, 1, 0, 0, 0, 2, 4, 4, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 6, 11, 14, 12, 7, 0, 0, 2, 10, 16, 13, 0, 0, 0, 57, 178, 354, 553, 725, 823, 817, 710, 534, 338, 168, 54, 0, 0, 0, 12, 14, 8, 0, 0, 0, 12, 25, 37, 42, 40, 33, 23, 14, 6, 1, 0, 0, 1, 8, 17, 27, 35, 39, 37, 31, 21, 12, 4, 0, 0, 0, 4, 10, 15, 19, 19, 15, 10, 4, 1, 0, 1, 4, 5, 5, 4, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 5, 8, 7, 1, 0, 0, 29, 94, 195, 315, 429, 508, 528, 483, 382, 249, 118, 20, 0, 19, 129, 294, 481, 646, 750, 765, 690, 545, 370, 206, 84, 16, 0, 0, 9, 16, 14, 7, 0, 0, 0, 0, 5, 9, 12, 12, 13, 13, 16, 20, 25, 29, 31, 30, 26, 19, 12, 4, 0, 0, 0, 1, 9, 15, 13, 2, 0, 0, 40, 141, 294, 477, 646, 757, 777, 702, 554, 376, 210, 89, 20, 0, 0, 3, 6, 5, 5, 10, 21, 34, 41, 39, 28, 13, 2, 0, 6, 14, 15, 6, 0, 0, 35, 132, 289, 484, 677, 819, 871, 815, 663, 452, 235, 66, 0, 10, 138, 336, 559, 752, 869, 885, 800, 640, 448, 266, 126, 40, 1, 0, 1, 9, 15, 18, 18, 13, 3, 0, 0, 27, 109, 245, 421, 603, 749, 819, 791, 670, 486, 283, 113, 17, 19, 116, 285, 485, 667, 787, 815, 744, 592, 395, 203, 65, 18, 75, 222, 421, 621, 771, 835, 801, 683, 513, 333, 180, 73, 16, 0, 0, 6, 8, 4, 0, 0, 4, 12, 21, 26, 26, 20, 11, 4, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 4, 6, 7, 6, 4, 1, 0, 0, 2, 11, 22, 32, 37, 33, 23, 10, 2, 0, 7, 18, 27, 31, 28, 19, 9, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 3, 10, 17, 23, 25, 22, 17, 9, 3, 0, 0, 0, 0, 1, 2, 3, 4, 4, 2, 0, 0, 0, 5, 12, 20, 25, 24, 19, 12, 5, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 5, 7, 5, 1, 0, 0, 0, 6, 15, 17, 8, 0, 0, 27, 125, 290, 507, 732, 909, 991, 949, 793, 560, 310, 108, 1, 12, 132, 323, 533, 706, 798, 789, 689, 528, 349, 190, 76, 15, 0, 0, 8, 16, 19, 19, 17, 12, 3, 0, 0, 23, 86, 190, 322, 455, 556, 598, 567, 474, 344, 210, 100, 30, 0, 0, 2, 11, 15, 15, 12, 7, 0, 0, 0, 22, 85, 189, 324, 467, 584, 648, 641, 567, 445, 304, 175, 78, 20, 0, 0, 5, 12, 13, 10, 6, 1, 0, 0, 0, 3, 9, 18, 27, 32, 31, 25, 16, 6, 1, 0, 4, 8, 10, 7, 1, 0, 0, 2, 9, 12, 7, 0, 0, 22, 105, 252, 452, 670, 857, 963, 959, 846, 654, 433, 233, 87, 8, 0, 0, 15, 31, 33, 20, 0, 0, 0, 56, 179, 364, 586, 803, 960, 1018, 960, 801, 583, 358, 173, 52, 0, 0, 5, 22, 28, 24, 13, 3, 0, 0, 3, 11, 19, 26, 31, 35, 36, 35, 28, 15, 0, 0, 4, 60, 165, 314, 481, 627, 712, 710, 617, 455, 266, 99, 0, 0, 77, 238, 433, 616, 740, 779, 727, 601, 435, 270, 136, 48, 6, 0, 0, 7, 8, 5, 0, 0, 0, 0, 1, 2, 2, 2, 3, 7, 11, 15, 18, 18, 16, 12, 7, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 5, 3, 0, 0, 0, 0, 6, 10, 9, 1, 0, 0, 30, 103, 214, 348, 474, 562, 587, 542, 441, 311, 183, 83, 22, 0, 0, 3, 10, 11, 6, 0, 0, 0, 3, 12, 21, 27, 28, 24, 16, 8, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 2, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 3, 8, 14, 17, 18, 14, 7, 1, 0, 1, 8, 16, 22, 22, 17, 9, 3, 1, 3, 4, 2, 0, 0, 13, 65, 159, 292, 444, 582, 672, 691, 633, 514, 365, 218, 102, 30, 0, 0, 1, 7, 8, 4, 0, 0, 0, 1, 5, 8, 12, 15, 19, 23, 28, 31, 30, 22, 7, 0, 0, 26, 106, 236, 403, 574, 711, 781, 764, 668, 517, 348, 196, 84, 20, 0, 0, 6, 17, 23, 24, 21, 15, 9, 4, 2, 4, 10, 17, 22, 23, 19, 12, 5, 0, 0, 1, 5, 8, 9, 7, 4, 1, 0, 0, 0, 0, 0, 0, 1, 4, 11, 19, 26, 31, 30, 25, 16, 7, 0, 0, 1, 10, 21, 30, 34, 30, 21, 11, 2, 0, 3, 9, 14, 16, 13, 8, 3, 1, 2, 4, 7, 8, 7, 5, 2, 0, 0, 0, 0, 1, 5, 9, 13, 15, 15, 13, 9, 4, 1, 0, 0, 0, 0, 0, 0, 0, 3, 7, 10, 11, 7, 2, 0, 0, 8, 21, 35, 45, 46, 38, 25, 10, 1, 0, 0, 5, 11, 14, 13, 10, 5, 1, 0, 0, 3, 8, 13, 15, 15, 12, 8, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 5, 6, 5, 4, 2, 1, 0, 0, 0, 0, 0, 1, 3, 5, 6, 7, 6, 4, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 9, 18, 27, 32, 31, 26, 17, 8, 2, 0, 0, 0, 1, 2, 2, 3, 4, 4, 4, 1, 0, 0, 1, 9, 20, 31, 37, 37, 31, 21, 10, 2, 0, 0, 0, 2, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 5, 8, 11, 12, 12, 9, 5, 2, 0, 0, 2, 5, 7, 9, 9, 10, 10, 11, 12, 12, 11, 9, 6, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 5, 10, 16, 21, 24, 23, 19, 13, 7, 2, 0, 0, 0, 0, 0, 0, 0, 1, 6, 12, 17, 20, 19, 16, 10, 5, 0, 0, 0, 0, 5, 14, 24, 32, 37, 35, 28, 18, 7, 0, 0, 0, 8, 18, 24, 24, 15, 2, 0, 5, 51, 139, 266, 414, 555, 656, 693, 652, 543, 391, 236, 119, 74, 116, 235, 399, 565, 686, 731, 690, 577, 423, 267, 138, 52, 8, 0, 0, 3, 9, 14, 18, 18, 12, 1, 0, 2, 45, 128, 247, 379, 492, 552, 541, 459, 330, 190, 83, 41, 81, 197, 361, 535, 675, 747, 733, 637, 484, 314, 170, 89, 91, 176, 319, 484, 626, 710, 715, 641, 510, 356, 221, 137, 125, 185, 300, 438, 563, 644, 663, 619, 523, 400, 272, 163, 82, 32, 8, 1, 2, 4, 4, 3, 2, 3, 8, 16, 25, 32, 35, 32, 24, 15, 6, 2, 4, 10, 18, 25, 28, 26, 19, 11, 4, 0, 0, 1, 2, 2, 3, 10, 32, 80, 155, 254, 360, 451, 504, 503, 446, 348, 236, 143, 100, 123, 211, 346, 494, 618, 686, 680, 602, 475, 334, 218, 158, 167, 241, 357, 482, 584, 636, 628, 561, 453, 325, 202, 102, 36, 3, 0, 3, 14, 20, 21, 16, 10, 6, 5, 8, 13, 17, 18, 16, 12, 7, 4, 3, 5, 9, 14, 20, 27, 34, 39, 43, 44, 42, 36, 27, 18, 10, 4, 0, 0, 0, 1, 4, 9, 12, 14, 13, 11, 8, 4, 3, 2, 3, 4, 3, 3, 1, 0, 0, 1, 3, 5, 8, 11, 14, 15, 14, 10, 2, 0, 0, 26, 84, 180, 307, 449, 576, 662, 683, 635, 527, 386, 243, 123, 43, 3, 0, 0, 8, 13, 13, 12, 11, 12, 14, 14, 13, 10, 5, 1, 0, 0, 3, 11, 21, 30, 35, 34, 27, 17, 8, 4, 6, 10, 12, 8, 0, 0, 11, 65, 166, 310, 479, 640, 761, 811, 780, 673, 514, 338, 186, 93, 79, 146, 274, 431, 573, 666, 688, 636, 527, 390, 256, 148, 77, 39, 23, 17, 14, 9, 5, 5, 10, 20, 29, 34, 33, 28, 22, 17, 15, 15, 17, 18, 17, 15, 11, 7, 2, 0, 0, 1, 9, 22, 35, 43, 45, 38, 26, 13, 3, 0, 0, 0, 4, 6, 6, 4, 2, 0, 0, 1, 4, 8, 12, 13, 11, 8, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 3, 7, 12, 17, 21, 22, 17, 9, 0, 0, 6, 41, 108, 207, 330, 459, 572, 647, 665, 622, 526, 397, 262, 145, 61, 13, 0, 0, 2, 8, 15, 23, 36, 52, 66, 71, 65, 51, 32, 18, 10, 8, 8, 4, 0, 0, 16, 70, 166, 299, 448, 583, 674, 701, 657, 556, 422, 282, 163, 76, 25, 3, 0, 0, 0, 1, 1, 0, 0, 0, 0, 11, 41, 95, 175, 274, 373, 454, 495, 487, 430, 339, 237, 152, 109, 122, 190, 298, 419, 524, 586, 590, 536, 440, 324, 213, 126, 68, 38, 26, 21, 17, 12, 5, 0, 0, 0, 0, 1, 3, 4, 3, 1, 0, 0, 0, 5, 14, 24, 31, 32, 27, 19, 9, 2, 0, 0, 0, 3, 3, 3, 2, 0, 0, 0, 3, 7, 11, 12, 8, 0, 0, 6, 51, 140, 273, 435, 597, 725, 787, 769, 676, 529, 363, 212, 98, 30, 0, 0, 0, 3, 4, 3, 5, 11, 18, 23, 23, 18, 11, 5, 1, 1, 2, 4, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 6, 5, 2, 0, 0, 3, 7, 13, 17, 18, 17, 14, 11, 9, 9, 9, 9, 8, 5, 2, 0, 0, 0, 3, 7, 9, 9, 7, 4, 1, 0, 0, 1, 4, 5, 5, 4, 1, 0, 1, 3, 7, 9, 11, 10, 9, 8, 6, 4, 0, 0, 0, 19, 65, 146, 260, 395, 529, 633, 683, 665, 581, 450, 301, 166, 66, 10, 0, 0, 15, 25, 25, 17, 6, 0, 0, 2, 14, 28, 39, 44, 42, 33, 21, 9, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 9, 10, 10, 7, 5, 4, 5, 5, 3, 0, 0, 15, 62, 151, 278, 427, 570, 671, 706, 665, 560, 423, 295, 215, 204, 266, 381, 517, 638, 715, 731, 685, 592, 474, 361, 279, 248, 276, 354, 462, 570, 647, 669, 629, 535, 413, 294, 211, 186, 225, 318, 438, 553, 631, 648, 600, 498, 371, 254, 178, 164, 214, 310, 427, 534, 604, 623, 590, 514, 410, 298, 193, 107, 47, 12, 0, 0, 9, 22, 32, 37, 36, 30, 20, 12, 9, 13, 24, 37, 48, 52, 46, 32, 16, 3, 0, 4, 15, 28, 35, 34, 26, 15, 5, 1, 3, 10, 19, 26, 30, 28, 22, 12, 0, 0, 1, 35, 104, 207, 333, 462, 571, 638, 652, 610, 523, 409, 287, 177, 91, 34, 5, 0, 0, 4, 5, 2, 0, 3, 28, 81, 167, 280, 406, 525, 616, 660, 650, 587, 486, 369, 260, 184, 157, 187, 265, 371, 475, 550, 575, 542, 461, 353, 242, 151, 89, 57, 44, 39, 33, 23, 11, 2, 0, 0, 3, 7, 7, 4, 1, 1, 6, 14, 23, 28, 28, 23, 15, 7, 1, 0, 0, 0, 2, 5, 8, 12, 15, 16, 14, 11, 6, 2, 0, 0, 0, 1, 4, 5, 6, 6, 5, 3, 2, 2, 3, 7, 10, 12, 11, 6, 0, 0, 6, 40, 105, 201, 318, 443, 556, 641, 682, 673, 616, 523, 414, 315, 251, 238, 281, 367, 471, 562, 614, 611, 556, 465, 365, 284, 245, 257, 314, 400, 489, 554, 580, 558, 495, 406, 310, 222, 151, 98, 61, 36, 18, 6, 0, 0, 2, 7, 13, 17, 19, 20, 20, 20, 20, 18, 15, 11, 7, 4, 3, 2, 2, 1, 0, 0, 0, 5, 13, 20, 26, 26, 21, 13, 4, 0, 0, 0, 5, 8, 5, 0, 0, 3, 39, 111, 217, 347, 480, 592, 663, 680, 642, 558, 445, 321, 205, 112, 47, 10, 0, 0, 4, 10, 13, 14, 12, 9, 6, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 5, 11, 16, 19, 18, 14, 9, 4, 1, 0, 0, 0, 0, 0, 0, 1, 4, 5, 2, 0, 0, 8, 41, 99, 180, 272, 359, 424, 454, 445, 400, 332, 261, 208, 190, 217, 286, 383, 485, 563, 599, 583, 520, 427, 322, 224, 145, 89, 51, 28, 13, 4, 0, 0, 0, 3, 7, 9, 8, 4, 0, 0, 1, 8, 18, 28, 32, 31, 24, 14, 4, 0, 0, 0, 5, 7, 5, 0, 0, 6, 40, 108, 209, 336, 469, 584, 661, 682, 646, 560, 447, 333, 247, 209, 232, 308, 419, 538, 635, 688, 686, 631, 539, 433, 338, 272, 249, 271, 331, 413, 496, 557, 580, 557, 493, 405, 318, 255, 232, 256, 319, 403, 488, 553, 586, 578, 531, 451, 352, 246, 150, 73, 24, 0, 0, 5, 14, 18, 15, 9, 8, 19, 50, 104, 177, 261, 341, 402, 430, 419, 371, 298, 215, 138, 78, 40, 21, 14, 11, 9, 5, 1, 0, 0, 4, 9, 13, 14, 12, 10, 7, 4, 2, 0, 0, 0, 14, 47, 100, 172, 253, 331, 391, 421, 416, 377, 313, 237, 163, 103, 63, 43, 37, 39, 41, 40, 34, 25, 16, 8, 3, 0, 0, 0, 3, 7, 12, 15, 17, 15, 10, 4, 0, 0, 2, 11, 21, 29, 32, 29, 22, 13, 7, 4, 4, 6, 9, 12, 15, 18, 20, 20, 18, 15, 17, 32, 67, 130, 219, 327, 439, 537, 603, 625, 600, 532, 434, 323, 216, 126, 61, 22, 3, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 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, 1, 4, 6, 8, 8, 7, 4, 1, 0, 0, 0, 0, 0, 0, 3, 17, 50, 108, 193, 302, 421, 530, 607, 637, 612, 536, 427, 306, 195, 108, 50, 18, 4, 0, 0, 0, 1, 6, 12, 18, 21, 21, 16, 10, 4, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 8, 7, 4, 1, 0, 0, 2, 9, 17, 25, 31, 33, 32, 26, 19, 12, 7, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 7, 8, 7, 4, 1, 0, 0, 1, 2, 0, 0, 0, 16, 55, 122, 214, 320, 424, 507, 554, 557, 518, 446, 354, 257, 170, 100, 51, 22, 7, 1, 0, 0, 0, 0, 2, 7, 12, 16, 17, 15, 10, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 7, 9, 9, 7, 4, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 3, 4, 2, 0, 0, 2, 26, 72, 141, 225, 314, 396, 459, 496, 506, 486, 442, 377, 298, 215, 138, 76, 33, 11, 7, 14, 24, 32, 35, 30, 22, 13, 6, 4, 7, 13, 19, 22, 20, 14, 6, 0, 0, 2, 8, 15, 19, 19, 15, 8, 3, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 5, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 6, 7, 7, 4, 1, 0, 0, 0, 4, 6, 4, 0, 0, 6, 43, 112, 214, 336, 458, 558, 617, 628, 592, 521, 429, 331, 238, 159, 96, 51, 22, 6, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 7, 15, 22, 27, 27, 23, 15, 8, 2, 0, 0, 0, 0, 3, 5, 4, 0, 0, 0, 22, 70, 148, 249, 358, 454, 519, 539, 515, 457, 383, 313, 264, 245, 259, 300, 355, 410, 452, 471, 463, 429, 375, 312, 249, 192, 144, 104, 72, 46, 24, 9, 1, 0, 0, 1, 3, 3, 2, 0, 0, 0, 3, 7, 11, 13, 13, 10, 6, 2, 0, 0, 0, 3, 5, 7, 7, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 9, 12, 14, 13, 9, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 11, 27, 55, 98, 158, 231, 311, 382, 432, 447, 425, 372, 304, 245, 211, 215, 254, 315, 382, 435, 463, 461, 432, 385, 331, 284, 252, 243, 257, 292, 339, 386, 423, 440, 431, 396, 339, 269, 195, 127, 73, 34, 11, 0, 0, 0, 9, 29, 63, 113, 178, 256, 340, 422, 491, 534, 544, 515, 452, 365, 270, 182, 112, 62, 32, 15, 6, 1, 0, 1, 5, 11, 15, 16, 14, 9, 4, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 18, 46, 91, 156, 233, 314, 384, 432, 448, 432, 390, 333, 273, 220, 176, 144, 118, 96, 74, 53, 34, 19, 8, 2, 0, 0, 0, 1, 2, 3, 3, 2, 0, 0, 0, 11, 36, 75, 130, 196, 268, 337, 393, 427, 434, 412, 364, 298, 227, 162, 108, 70, 46, 32, 24, 19, 13, 7, 1, 0, 0, 10, 40, 89, 154, 227, 295, 347, 373, 369, 338, 287, 225, 161, 106, 64, 37, 24, 19, 16, 11, 1, 0, 0, 26, 79, 157, 250, 343, 420, 472, 493, 486, 452, 398, 328, 249, 170, 100, 46, 14, 0, 0, 0, 1, 8, 23, 56, 111, 188, 281, 377, 465, 532, 569, 573, 542, 482, 399, 304, 210, 126, 62, 22, 4, 3, 10, 18, 21, 18, 11, 5, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 4, 4, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 8, 9, 8, 6, 3, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 6, 16, 29, 38, 43, 39, 30, 18, 7, 0, 0, 0, 1, 3, 4, 2, 0, 0, 0, 3, 10, 19, 26, 29, 26, 19, 10, 3, 0, 0, 1, 4, 6, 6, 4, 2, 1, 0, 0, 1, 2, 3, 3, 1, 0, 0, 0, 1, 5, 9, 12, 14, 13, 10, 5, 1, 0, 0, 1, 5, 10, 14, 16, 15, 12, 8, 3, 0, 0, 0, 0, 1, 1, 0, 0, 0, 3, 8, 14, 20, 24, 26, 25, 21, 16, 10, 5, 2, 0, 0, 0, 1, 0, 0, 0, 0, 4, 10, 18, 25, 28, 26, 21, 13, 5, 0, 0, 0, 7, 17, 28, 38, 43, 42, 34, 23, 12, 6, 10, 26, 58, 106, 169, 244, 325, 401, 463, 501, 509, 485, 432, 360, 278, 198, 130, 78, 44, 27, 22, 26, 37, 53, 76, 109, 152, 208, 273, 345, 419, 489, 547, 586, 599, 580, 532, 460, 373, 282, 197, 125, 70, 32, 9, 1, 2, 9, 17, 22, 22, 19, 18, 20, 29, 42, 54, 61, 60, 50, 34, 19, 8, 5, 7, 11, 14, 14, 9, 4, 0, 3, 14, 35, 66, 108, 159, 218, 283, 350, 413, 464, 493, 496, 471, 420, 353, 280, 210, 151, 108, 78, 60, 49, 42, 35, 30, 24, 20, 19, 19, 20, 21, 20, 16, 11, 7, 7, 11, 19, 31, 46, 62, 84, 113, 151, 198, 246, 289, 317, 323, 306, 269, 219, 165, 116, 77, 50, 34, 27, 26, 28, 31, 31, 29, 23, 15, 7, 1, 0, 0, 5, 12, 19, 26, 33, 39, 46, 52, 56, 55, 47, 35, 22, 14, 17, 36, 71, 117, 170, 223, 275, 324, 367, 401, 421, 423, 402, 361, 307, 248, 194, 150, 115, 89, 65, 42, 22, 6, 0, 0, 9, 21, 31, 34, 31, 23, 14, 6, 4, 5, 9, 13, 17, 19, 19, 18, 16, 12, 8, 5, 2, 0, 0, 0, 0, 0, 3, 6, 9, 9, 8, 7, 7, 10, 17, 24, 28, 26, 19, 10, 3, 2, 7, 15, 22, 26, 24, 18, 11, 4, 0, 0, 0, 2, 10, 20, 29, 34, 33, 26, 16, 6, 0, 0, 2, 5, 6, 4, 0, 0, 1, 14, 37, 69, 109, 156, 208, 264, 322, 378, 427, 461, 475, 466, 436, 393, 345, 306, 283, 281, 299, 330, 366, 396, 414, 414, 398, 366, 321, 267, 208, 147, 91, 46, 15, 1, 1, 10, 22, 31, 36, 37, 38, 39, 42, 45, 48, 48, 47, 44, 39, 32, 23, 13, 4, 0, 2, 11, 23, 34, 39, 35, 26, 14, 3, 0, 0, 2, 7, 10, 12, 13, 13, 13, 14, 13, 11, 8, 6, 5, 6, 7, 7, 4, 1, 0, 3, 17, 43, 81, 125, 172, 216, 254, 286, 311, 327, 332, 324, 300, 261, 211, 157, 105, 62, 31, 11, 1, 0, 0, 2, 7, 12, 17, 19, 18, 13, 6, 0, 0, 3, 13, 24, 33, 34, 27, 16, 5, 0, 2, 11, 22, 31, 33, 28, 18, 7, 0, 0, 0, 10, 22, 32, 38, 37, 30, 19, 9, 2, 0, 0, 1, 1, 1, 0, 0, 1, 5, 10, 14, 14, 12, 8, 3, 0, 0, 0, 2, 4, 5, 6, 5, 3, 1, 0, 0, 1, 5, 11, 17, 21, 21, 18, 12, 6, 1, 0, 0, 1, 1, 1, 0, 0, 1, 8, 18, 32, 48, 65, 83, 105, 132, 167, 209, 255, 299, 336, 357, 358, 337, 296, 242, 182, 126, 82, 55, 43, 42, 47, 50, 49, 43, 32, 19, 8, 0, 0, 0, 6, 15, 24, 30, 31, 30, 34, 49, 81, 131, 196, 265, 328, 376, 405, 415, 409, 391, 366, 335, 300, 261, 219, 174, 129, 86, 50, 25, 14, 19, 37, 65, 97, 130, 163, 197, 234, 274, 315, 353, 381, 393, 386, 359, 315, 259, 201, 148, 106, 78, 63, 56, 51, 43, 32, 19, 7, 0, 0, 4, 9, 13, 12, 8, 3, 0, 2, 7, 12, 15, 14, 12, 10, 11, 15, 21, 26, 27, 22, 14, 6, 0, 0, 1, 5, 8, 8, 6, 2, 0, 0, 1, 4, 7, 8, 8, 5, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 8, 17, 30, 47, 68, 96, 128, 162, 195, 220, 234, 234, 222, 200, 172, 142, 114, 88, 65, 45, 28, 15, 6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 5, 18, 39, 67, 99, 130, 156, 175, 185, 186, 182, 175, 166, 159, 151, 142, 128, 110, 87, 62, 39, 20, 10, 7, 12, 25, 46, 76, 113, 158, 205, 250, 289, 318, 337, 345, 346, 342, 335, 327, 319, 315, 316, 321, 331, 341, 349, 351, 348, 342, 339, 342, 355, 375, 396, 411, 415, 405, 385, 364, 348, 344, 351, 366, 382, 392, 393, 385, 374, 365, 362, 363, 365, 359, 337, 298, 244, 184, 129, 88, 63, 54, 53, 53, 50, 43, 36, 32, 30, 29, 28, 24, 18, 12, 9, 10, 14, 18, 20, 17, 12, 5, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 3, 7, 11, 13, 12, 7, 1, 0, 0, 11, 34, 67, 107, 151, 196, 238, 277, 312, 342, 363, 372, 364, 338, 295, 240, 180, 124, 78, 47, 31, 28, 35, 50, 69, 93, 119, 148, 181, 217, 254, 292, 327, 358, 381, 395, 397, 388, 367, 334, 289, 235, 175, 116, 66, 28, 6, 0, 0, 3, 8, 10, 10, 7, 4, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 3, 9, 14, 18, 19, 16, 10, 4, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 4, 10, 17, 21, 22, 18, 12, 5, 1, 0, 0, 0, 1, 0, 0, 0, 1, 4, 7, 9, 9, 7, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 4, 8, 12, 15, 17, 17, 15, 12, 7, 2, 0, 0, 1, 11, 24, 37, 46, 47, 40, 27, 13, 2, 0, 0, 2, 5, 6, 5, 3, 2, 2, 4, 7, 10, 11, 10, 7, 4, 1, 0, 0, 0, 4, 8, 13, 15, 15, 13, 8, 4, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 5, 8, 9, 8, 6, 4, 4, 8, 16, 24, 30, 31, 27, 18, 9, 1, 0, 0, 3, 7, 9, 9, 7, 3, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 7, 12, 15, 16, 14, 9, 3, 0, 0, 1, 5, 9, 9, 5, 0, 0, 1, 20, 55, 100, 149, 194, 231, 260, 281, 298, 312, 321, 320, 307, 282, 248, 209, 171, 137, 108, 84, 66, 54, 51, 56, 70, 93, 123, 161, 207, 258, 313, 363, 401, 421, 416, 389, 345, 292, 240, 192, 153, 121, 94, 71, 51, 36, 26, 20, 17, 15, 12, 8, 3, 0, 0, 3, 12, 23, 32, 35, 32, 23, 12, 3, 0, 1, 7, 15, 20, 23, 22, 19, 17, 18, 22, 31, 46, 67, 93, 124, 156, 187, 213, 231, 240, 238, 224, 198, 164, 123, 82, 48, 24, 15, 17, 27, 36, 41, 37, 26, 12, 1, 0, 0, 10, 23, 33, 38, 34, 26, 14, 5, 0, 0, 0, 2, 4, 4, 3, 0, 0, 0, 2, 7, 14, 21, 25, 24, 19, 11, 3, 0, 0, 6, 22, 44, 70, 98, 127, 160, 197, 238, 280, 319, 348, 362, 361, 346, 321, 292, 259, 226, 190, 154, 120, 92, 75, 69, 75, 89, 106, 123, 140, 161, 188, 223, 264, 304, 335, 353, 352, 335, 307, 275, 244, 218, 195, 172, 147, 118, 86, 57, 36, 27, 33, 53, 83, 118, 153, 182, 204, 216, 221, 221, 217, 212, 203, 190, 171, 145, 115, 84, 58, 42, 34, 34, 34, 33, 27, 18, 9, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 3, 4, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 4, 13, 26, 38, 44, 43, 35, 24, 17, 20, 39, 72, 117, 166, 215, 259, 297, 331, 362, 389, 409, 421, 421, 412, 398, 386, 381, 385, 396, 408, 416, 413, 398, 372, 337, 299, 259, 221, 186, 153, 123, 97, 73, 53, 38, 29, 25, 26, 32, 38, 44, 46, 44, 37, 29, 21, 17, 19, 28, 43, 66, 93, 126, 161, 198, 235, 268, 296, 317, 331, 337, 337, 332, 320, 301, 273, 236, 192, 146, 103, 66, 38, 19, 8, 4, 5, 11, 19, 26, 30, 30, 27, 26, 30, 43, 65, 93, 122, 147, 168, 186, 203, 222, 244, 268, 287, 299, 298, 282, 253, 213, 169, 126, 88, 58, 36, 22, 14, 9, 5, 3, 1, 0, 0, 0, 0, 2, 5, 9, 13, 15, 15, 12, 7, 3, 0, 0, 0, 0, 1, 0, 0, 0, 1, 7, 18, 35, 58, 86, 117, 146, 170, 186, 194, 195, 191, 187, 184, 183, 181, 176, 163, 143, 118, 90, 67, 52, 49, 59, 79, 108, 140, 172, 204, 234, 264, 293, 322, 350, 374, 393, 402, 401, 391, 375, 359, 346, 341, 342, 348, 354, 356, 350, 337, 318, 293, 266, 236, 205, 174, 142, 114, 90, 73, 64, 62, 63, 66, 68, 67, 62, 53, 43, 31, 20, 10, 3, 0, 0, 3, 10, 19, 27, 34, 37, 37, 33, 27, 20, 14, 10, 8, 8, 9, 10, 10, 9, 6, 4, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 3, 12, 26, 44, 61, 76, 88, 100, 116, 141, 176, 219, 266, 309, 341, 359, 361, 351, 334, 316, 303, 299, 307, 327, 355, 386, 411, 423, 419, 402, 377, 354, 340, 337, 344, 354, 364, 369, 370, 368, 366, 366, 367, 367, 363, 354, 343, 331, 322, 318, 320, 327, 337, 346, 350, 345, 327, 296, 253, 203, 156, 120, 99, 96, 107, 125, 144, 160, 174, 188, 206, 228, 256, 283, 306, 320, 323, 316, 299, 276, 249, 219, 187, 154, 121, 91, 66, 48, 39, 39, 45, 53, 57, 54, 44, 28, 12, 1, 0, 4, 16, 32, 46, 58, 70, 83, 102, 129, 161, 196, 226, 248, 259, 260, 251, 237, 219, 199, 178, 156, 133, 111, 88, 66, 47, 31, 19, 11, 7, 6, 6, 6, 5, 4, 2, 0, 0, 0, 1, 6, 11, 14, 15, 13, 8, 3, 1, 0, 1, 1, 0, 0, 0, 4, 20, 44, 75, 105, 131, 151, 168, 184, 204, 228, 251, 269, 278, 276, 268, 259, 254, 256, 264, 274, 285, 296, 306, 316, 328, 337, 343, 344, 339, 332, 325, 322, 320, 318, 310, 294, 268, 235, 199, 166, 138, 118, 104, 93, 83, 72, 58, 44, 30, 18, 10, 4, 1, 1, 2, 3, 5, 6, 5, 4, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 3, 6, 9, 10, 9, 6, 3, 1, 0, 0, 2, 3, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 1, 3, 3, 1, 0, 0, 2, 17, 42, 75, 110, 140, 161, 173, 179, 182, 186, 190, 194, 193, 186, 175, 161, 148, 135, 122, 107, 87, 64, 40, 20, 9, 8, 13, 21, 26, 26, 22, 15, 8, 2, 0, 0, 0, 3, 12, 23, 34, 40, 39, 31, 19, 8, 1, 0, 1, 4, 5, 4, 2, 0, 0, 2, 5, 9, 12, 14, 13, 10, 6, 1, 0, 1, 10, 26, 45, 63, 74, 75, 69, 62, 62, 74, 101, 138, 177, 209, 229, 237, 237, 236, 239, 246, 255, 260, 256, 241, 215, 183, 150, 119, 94, 74, 60, 52, 50, 51, 54, 55, 52, 43, 30, 17, 6, 0, 0, 2, 5, 7, 8, 9, 12, 17, 22, 26, 25, 21, 14, 7, 1, 0, 0, 0, 1, 2, 4, 5, 7, 7, 6, 4, 1, 0, 0, 1, 3, 5, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 5, 9, 12, 14, 14, 11, 8, 3, 0, 0, 0, 10, 29, 55, 85, 112, 134, 147, 153, 153, 150, 147, 144, 140, 136, 130, 124, 117, 107, 94, 78, 59, 43, 31, 27, 28, 32, 35, 33, 26, 17, 7, 1, 0, 0, 0, 2, 3, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 7, 12, 16, 16, 14, 8, 3, 0, 1, 9, 22, 39, 56, 70, 81, 87, 91, 97, 110, 130, 157, 189, 219, 244, 262, 271, 273, 269, 260, 244, 221, 194, 166, 141, 122, 108, 97, 85, 68, 49, 30, 16, 11, 14, 21, 29, 31, 28, 19, 9, 1, 0, 0, 3, 9, 15, 18, 18, 15, 11, 6, 2, 0, 0, 0, 3, 10, 19, 27, 33, 35, 35, 34, 36, 43, 55, 70, 84, 96, 109, 124, 145, 172, 202, 227, 243, 248, 243, 236, 232, 233, 237, 237, 227, 204, 169, 130, 97, 74, 62, 59, 58, 53, 43, 29, 15, 5, 0, 0, 0, 2, 7, 14, 20, 23, 22, 17, 10, 3, 0, 0, 2, 5, 7, 6, 3, 0, 0, 0, 4, 7, 10, 10, 8, 4, 0, 0, 0, 4, 10, 17, 22, 23, 19, 13, 5, 0, 0, 2, 11, 24, 38, 52, 64, 75, 87, 102, 119, 136, 151, 161, 166, 166, 163, 159, 154, 147, 134, 117, 96, 78, 65, 60, 60, 59, 54, 41, 24, 8, 0, 2, 14, 28, 39, 43, 41, 37, 38, 47, 66, 92, 119, 146, 172, 198, 226, 256, 286, 310, 324, 326, 319, 305, 291, 281, 279, 284, 295, 307, 317, 321, 316, 302, 283, 261, 241, 226, 213, 199, 180, 155, 124, 94, 72, 61, 61, 65, 66, 60, 47, 30, 17, 13, 18, 28, 39, 45, 47, 46, 47, 55, 69, 87, 106, 121, 133, 143, 152, 164, 178, 193, 207, 218, 227, 237, 250, 266, 282, 295, 299, 291, 273, 251, 231, 221, 220, 228, 236, 239, 231, 211, 182, 149, 118, 92, 75, 65, 63, 67, 74, 84, 96, 111, 126, 141, 153, 162, 166, 167, 167, 166, 164, 162, 154, 140, 119, 93, 66, 43, 28, 21, 22, 26, 30, 30, 25, 18, 10, 4, 2, 2, 4, 6, 6, 5, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 3, 6, 7, 7, 5, 3, 1, 1, 2, 2, 0, 0, 0, 2, 15, 35, 57, 76, 86, 87, 82, 77, 77, 83, 92, 96, 92, 77, 56, 35, 19, 13, 14, 20, 25, 27, 25, 18, 10, 3, 0, 0, 0, 8, 18, 27, 32, 32, 28, 26, 32, 50, 81, 122, 165, 204, 234, 255, 269, 277, 283, 284, 281, 272, 257, 238, 217, 197, 179, 163, 148, 133, 118, 102, 84, 67, 49, 32, 18, 7, 0, 0, 1, 7, 16, 25, 31, 31, 27, 19, 9, 2, 0, 0, 7, 16, 27, 37, 47, 58, 69, 84, 101, 120, 139, 155, 166, 173, 178, 182, 188, 197, 208, 218, 224, 223, 216, 202, 183, 162, 142, 122, 104, 86, 69, 52, 37, 23, 13, 5, 0, 0, 0, 5, 16, 29, 41, 48, 47, 38, 24, 9, 0, 0, 6, 19, 32, 42, 47, 48, 52, 63, 83, 112, 143, 171, 192, 206, 213, 217, 221, 223, 224, 218, 206, 187, 163, 137, 115, 97, 85, 77, 71, 64, 55, 44, 30, 18, 8, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 3, 7, 9, 9, 6, 0, 0, 2, 17, 40, 67, 91, 104, 106, 101, 96, 100, 115, 142, 172, 198, 212, 213, 203, 186, 168, 153, 140, 126, 109, 87, 63, 38, 17, 3, 0, 0, 4, 9, 12, 11, 7, 2, 0, 0, 9, 24, 45, 69, 95, 121, 147, 171, 192, 207, 213, 213, 210, 211, 223, 246, 275, 301, 316, 315, 301, 283, 271, 274, 291, 317, 340, 350, 344, 324, 298, 275, 263, 264, 274, 287, 297, 300, 299, 297, 298, 306, 322, 340, 357, 366, 363, 347, 321, 289, 258, 233, 217, 208, 203, 198, 186, 168, 144, 119, 95, 77, 66, 57, 50, 40, 29, 17, 7, 1, 0, 0, 0, 0, 0, 0, 3, 11, 20, 28, 31, 29, 23, 17, 17, 25, 42, 63, 82, 94, 98, 94, 90, 91, 103, 125, 154, 183, 207, 222, 230, 233, 235, 237, 237, 232, 219, 197, 168, 135, 104, 78, 58, 45, 36, 29, 23, 17, 11, 5, 1, 0, 1, 6, 12, 16, 18, 17, 13, 8, 3, 0, 0, 0, 4, 13, 25, 39, 56, 73, 92, 111, 130, 148, 162, 169, 171, 168, 164, 163, 166, 173, 181, 189, 191, 187, 176, 158, 137, 115, 95, 78, 64, 54, 44, 35, 25, 15, 7, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 11, 21, 33, 48, 64, 79, 93, 106, 119, 135, 155, 179, 202, 221, 232, 231, 220, 203, 186, 172, 164, 159, 152, 140, 123, 105, 89, 80, 79, 87, 98, 109, 117, 122, 124, 126, 129, 133, 138, 145, 153, 164, 178, 196, 217, 238, 255, 265, 266, 260, 250, 240, 233, 229, 226, 221, 213, 201, 187, 172, 160, 148, 137, 124, 108, 92, 78, 68, 61, 57, 52, 44, 34, 22, 11, 3, 0, 0, 0, 1, 3, 3, 2, 0, 0, 0, 0, 3, 7, 11, 12, 11, 6, 1, 0, 0, 5, 13, 20, 21, 15, 6, 0, 0, 11, 34, 59, 77, 83, 77, 66, 61, 68, 89, 118, 144, 158, 157, 145, 128, 114, 107, 104, 102, 95, 82, 65, 46, 29, 17, 8, 3, 1, 0, 1, 5, 10, 14, 16, 15, 10, 3, 0, 0, 8, 22, 40, 59, 75, 85, 88, 87, 83, 81, 81, 83, 88, 93, 95, 95, 91, 83, 74, 63, 51, 39, 27, 16, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 8, 17, 27, 35, 37, 34, 30, 28, 34, 51, 78, 107, 133, 149, 153, 147, 138, 133, 136, 148, 166, 184, 196, 199, 191, 174, 152, 128, 106, 88, 74, 64, 57, 54, 52, 50, 47, 41, 35, 28, 25, 27, 32, 39, 45, 47, 46, 45, 50, 63, 86, 115, 144, 167, 180, 186, 187, 189, 192, 197, 199, 195, 181, 159, 132, 105, 82, 67, 60, 56, 54, 50, 41, 29, 15, 4, 0, 5, 20, 41, 65, 86, 99, 102, 97, 88, 79, 76, 82, 98, 123, 153, 183, 206, 220, 223, 216, 200, 180, 158, 137, 119, 104, 94, 87, 82, 78, 73, 65, 55, 43, 32, 22, 15, 11, 9, 8, 7, 5, 3, 1, 0, 0, 0, 4, 11, 17, 21, 21, 17, 11, 5, 0, 0, 0, 0, 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, 1, 0, 0, 0, 0, 1, 4, 7, 10, 12, 10, 7, 4, 1, 0, 0, 0, 0, 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, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 5, 9, 13, 14, 12, 9, 4, 1, 0, 0, 0, 0, 0, 0, 3, 7, 12, 17, 18, 17, 12, 6, 0, 0, 0, 5, 15, 28, 42, 56, 68, 80, 91, 102, 113, 123, 129, 133, 137, 143, 156, 174, 195, 216, 231, 239, 238, 229, 215, 198, 178, 159, 143, 132, 126, 126, 128, 127, 121, 108, 87, 63, 39, 20, 10, 10, 18, 31, 43, 48, 45, 33, 18, 5, 0, 6, 20, 38, 54, 65, 70, 75, 83, 97, 118, 142, 167, 189, 207, 225, 241, 257, 272, 284, 293, 300, 308, 319, 331, 344, 353, 357, 355, 348, 340, 332, 326, 321, 316, 308, 298, 286, 273, 260, 247, 235, 223, 211, 201, 192, 186, 181, 176, 172, 169, 168, 169, 171, 174, 176, 176, 175, 174, 177, 183, 192, 199, 199, 189, 169, 143, 119, 104, 100, 107, 119, 128, 128, 116, 92, 63, 35, 13, 0, 0, 0, 9, 19, 27, 31, 30, 25, 18, 14, 14, 16, 20, 20, 17, 10, 3, 0, 2, 10, 19, 25, 26, 24, 22, 27, 39, 58, 77, 90, 95, 91, 84, 81, 89, 106, 131, 156, 175, 183, 180, 171, 160, 151, 146, 144, 141, 136, 126, 114, 103, 94, 90, 89, 89, 86, 77, 63, 46, 29, 14, 4, 0, 0, 1, 5, 9, 12, 13, 11, 7, 3, 0, 0, 2, 8, 13, 17, 18, 14, 8, 2, 0, 0, 4, 14, 25, 34, 36, 31, 21, 10, 1, 0, 1, 6, 13, 18, 22, 25, 29, 33, 37, 39, 37, 33, 29, 29, 35, 49, 67, 87, 104, 116, 122, 123, 121, 118, 114, 112, 112, 115, 120, 124, 125, 123, 116, 108, 102, 100, 103, 109, 112, 110, 102, 90, 80, 76, 83, 98, 118, 134, 141, 135, 116, 92, 70, 58, 60, 74, 93, 108, 111, 99, 74, 44, 17, 0, 0, 3, 16, 30, 38, 41, 39, 33, 27, 23, 22, 23, 23, 23, 21, 18, 16, 17, 22, 31, 42, 53, 63, 70, 77, 84, 93, 103, 114, 124, 134, 145, 157, 171, 186, 198, 204, 203, 195, 185, 175, 169, 166, 164, 160, 151, 135, 116, 95, 77, 65, 60, 60, 62, 63, 59, 50, 37, 24, 13, 7, 5, 5, 5, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 5, 5, 3, 0, 0, 0, 4, 9, 15, 18, 17, 13, 8, 3, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 6, 6, 4, 2, 0, 0, 0, 1, 3, 4, 3, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 8, 11, 11, 9, 6, 3, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 4, 7, 9, 10, 9, 6, 3, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 5, 13, 22, 30, 36, 39, 43, 50, 63, 80, 99, 114, 122, 123, 120, 118, 121, 131, 145, 159, 166, 165, 154, 141, 130, 129, 139, 154, 169, 172, 161, 136, 106, 81, 70, 76, 94, 115, 130, 134, 129, 121, 116, 118, 126, 135, 140, 136, 125, 111, 97, 87, 84, 83, 83, 81, 75, 67, 60, 56, 59, 67, 75, 81, 79, 69, 51, 31, 13, 1, 0, 0, 9, 20, 30, 35, 35, 29, 19, 9, 1, 0, 0, 6, 13, 18, 17, 12, 4, 0, 0, 9, 26, 44, 57, 59, 50, 33, 15, 1, 0, 0, 9, 18, 25, 26, 23, 18, 13, 11, 14, 22, 35, 51, 68, 84, 96, 104, 107, 106, 103, 101, 103, 111, 123, 137, 151, 161, 166, 167, 165, 161, 156, 151, 145, 138, 133, 130, 131, 134, 138, 140, 140, 140, 142, 148, 158, 168, 176, 176, 169, 157, 145, 139, 141, 149, 160, 168, 169, 160, 143, 120, 96, 74, 59, 51, 49, 51, 55, 56, 53, 47, 39, 33, 33, 38, 46, 56, 62, 63, 57, 48, 41, 38, 44, 57, 75, 93, 108, 118, 125, 131, 137, 143, 147, 147, 139, 124, 105, 86, 73, 67, 67, 69, 69, 65, 57, 47, 38, 33, 32, 33, 33, 29, 21, 12, 4, 0, 1, 4, 7, 8, 6, 5, 5, 9, 16, 22, 25, 24, 18, 10, 3, 0, 0, 0, 1, 1, 0, 0, 0, 2, 5, 6, 7, 7, 7, 9, 15, 21, 27, 29, 27, 22, 14, 6, 0, 0, 0, 1, 8, 17, 25, 31, 32, 27, 19, 10, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 4, 3, 1, 0, 0, 0, 5, 11, 17, 20, 18, 12, 6, 1, 0, 2, 7, 10, 9, 6, 1, 0, 1, 8, 18, 28, 35, 37, 37, 39, 47, 62, 82, 103, 123, 138, 148, 156, 164, 171, 175, 174, 168, 156, 144, 135, 135, 145, 162, 179, 190, 188, 173, 148, 120, 96, 83, 81, 87, 93, 94, 86, 71, 54, 39, 32, 31, 34, 37, 38, 34, 29, 23, 20, 19, 21, 23, 25, 24, 20, 14, 7, 1, 0, 0, 5, 11, 16, 17, 16, 13, 11, 11, 13, 15, 16, 15, 10, 5, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 3, 9, 16, 20, 21, 18, 12, 6, 1, 0, 0, 0, 0, 1, 0, 0, 0, 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, 1, 0, 0, 0, 0, 0, 3, 6, 10, 12, 12, 10, 5, 1, 0, 0, 5, 16, 28, 40, 49, 52, 51, 48, 45, 44, 44, 45, 47, 50, 57, 68, 84, 102, 116, 123, 118, 101, 76, 49, 26, 11, 4, 1, 2, 2, 3, 6, 12, 21, 30, 35, 36, 31, 22, 12, 4, 0, 0, 0, 1, 5, 10, 15, 18, 19, 16, 11, 5, 1, 0, 0, 1, 6, 13, 23, 35, 51, 68, 85, 100, 109, 111, 107, 98, 91, 89, 96, 112, 132, 153, 169, 177, 178, 175, 170, 163, 156, 146, 136, 127, 123, 124, 129, 135, 135, 126, 109, 89, 75, 71, 79, 94, 108, 114, 107, 90, 72, 59, 59, 72, 95, 120, 143, 159, 169, 174, 177, 182, 189, 198, 209, 222, 236, 249, 262, 272, 281, 289, 297, 304, 310, 313, 313, 310, 305, 300, 296, 295, 297, 298, 296, 290, 279, 265, 249, 236, 227, 221, 218, 217, 217, 216, 214, 212, 207, 199, 186, 167, 145, 121, 100, 83, 72, 68, 68, 70, 72, 73, 71, 66, 58, 50, 42, 35, 30, 25, 21, 16, 11, 6, 1, 0, 0, 0, 3, 5, 6, 6, 4, 2, 0, 1, 3, 6, 8, 8, 6, 3, 0, 0, 0, 2, 5, 7, 8, 6, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 6, 10, 13, 13, 11, 7, 3, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 3, 3, 3, 4, 5, 8, 13, 20, 29, 40, 50, 60, 67, 72, 74, 75, 76, 80, 86, 95, 103, 108, 109, 105, 99, 94, 93, 96, 103, 112, 119, 124, 126, 127, 126, 126, 127, 128, 131, 136, 141, 148, 155, 162, 170, 177, 183, 188, 191, 192, 192, 193, 196, 201, 206, 207, 202, 189, 174, 161, 156, 160, 168, 174, 171, 154, 126, 96, 74, 64, 69, 83, 99, 109, 110, 101, 86, 69, 55, 48, 49, 59, 74, 91, 105, 114, 116, 115, 115, 122, 135, 153, 173, 189, 200, 207, 213, 221, 231, 241, 249, 252, 249, 242, 236, 233, 236, 243, 251, 255, 251, 239, 223, 207, 199, 200, 211, 224, 232, 229, 215, 194, 175, 165, 168, 182, 200, 212, 213, 205, 191, 180, 175, 176, 179, 180, 174, 166, 158, 158, 166, 179, 189, 190, 177, 153, 126, 103, 91, 89, 94, 100, 101, 97, 91, 85, 81, 79, 74, 64, 49, 31, 14, 2, 0, 0, 6, 14, 23, 30, 34, 35, 33, 29, 23, 17, 11, 6, 3, 0, 0, 0, 0, 0, 2, 4, 6, 8, 9, 8, 8, 8, 11, 17, 25, 31, 34, 31, 22, 11, 3, 4, 15, 35, 59, 78, 88, 85, 73, 61, 54, 59, 75, 96, 115, 128, 132, 129, 124, 121, 120, 120, 118, 112, 101, 89, 79, 72, 70, 70, 70, 67, 61, 54, 46, 38, 32, 27, 21, 15, 9, 4, 0, 0, 0, 0, 2, 4, 6, 8, 7, 6, 4, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 5, 12, 21, 31, 40, 46, 48, 46, 43, 41, 43, 49, 61, 75, 90, 103, 114, 123, 132, 143, 155, 165, 167, 161, 148, 133, 123, 123, 132, 145, 154, 153, 139, 118, 96, 80, 75, 77, 81, 80, 72, 57, 40, 26, 18, 16, 18, 20, 21, 19, 18, 17, 18, 19, 19, 17, 12, 6, 2, 0, 0, 0, 0, 0, 0, 1, 4, 8, 12, 14, 13, 9, 4, 0, 0, 1, 5, 9, 12, 13, 11, 8, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 4, 6, 7, 6, 4, 2, 0, 0, 0, 1, 2, 2, 4, 8, 15, 22, 28, 29, 24, 15, 4, 0, 1, 14, 34, 54, 70, 76, 73, 67, 60, 57, 59, 64, 69, 74, 80, 88, 100, 115, 131, 144, 152, 154, 151, 145, 138, 130, 121, 112, 104, 99, 96, 93, 88, 79, 64, 47, 34, 29, 34, 48, 63, 71, 68, 54, 35, 19, 13, 18, 29, 40, 44, 38, 26, 12, 2, 0, 0, 2, 5, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 5, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 7, 9, 9, 7, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 0, 0, 0, 3, 10, 18, 24, 26, 24, 17, 8, 2, 0, 0, 1, 3, 3, 2, 0, 0, 0, 0, 2, 3, 2, 0, 0, 0, 3, 12, 25, 36, 43, 44, 41, 37, 39, 50, 70, 95, 120, 138, 145, 143, 134, 124, 120, 125, 140, 160, 180, 194, 199, 195, 187, 180, 180, 190, 206, 222, 231, 230, 218, 200, 183, 173, 171, 175, 180, 181, 176, 165, 151, 136, 123, 114, 108, 106, 104, 102, 98, 89, 75, 58, 41, 27, 20, 21, 29, 41, 53, 60, 60, 53, 42, 30, 21, 15, 14, 14, 15, 14, 11, 7, 3, 0, 0, 0, 0, 2, 6, 10, 13, 15, 15, 12, 8, 4, 0, 0, 0, 1, 5, 10, 13, 14, 13, 11, 7, 2, 0, 0, 0, 6, 16, 29, 42, 51, 56, 55, 53, 52, 54, 60, 66, 69, 67, 63, 60, 63, 75, 95, 116, 132, 141, 141, 138, 134, 135, 140, 148, 158, 170, 184, 201, 220, 238, 248, 247, 234, 215, 197, 191, 201, 226, 258, 287, 303, 299, 278, 247, 218, 200, 195, 201, 210, 213, 205, 189, 170, 157, 154, 163, 178, 193, 200, 198, 187, 173, 162, 157, 159, 166, 174, 181, 183, 180, 173, 162, 149, 136, 126, 119, 118, 121, 125, 128, 127, 120, 109, 97, 87, 82, 83, 87, 91, 93, 91, 85, 76, 66, 58, 54, 52, 53, 54, 55, 53, 50, 47, 45, 46, 50, 56, 64, 72, 82, 93, 107, 121, 132, 139, 140, 135, 128, 125, 127, 138, 155, 174, 192, 207, 219, 229, 238, 246, 252, 256, 257, 259, 264, 277, 295, 315, 330, 333, 323, 303, 281, 265, 261, 271, 289, 307, 316, 311, 294, 270, 246, 232, 230, 239, 252, 261, 261, 250, 230, 206, 185, 171, 163, 160, 158, 154, 146, 136, 127, 119, 114, 111, 107, 100, 91, 80, 68, 57, 48, 43, 39, 37, 36, 33, 31, 27, 23, 20, 16, 14, 14, 16, 18, 20, 20, 17, 12, 8, 6, 10, 18, 29, 38, 43, 40, 31, 19, 8, 0, 0, 0, 3, 7, 9, 8, 5, 2, 0, 0, 1, 5, 9, 11, 11, 9, 7, 4, 1, 0, 0, 0, 3, 11, 23, 35, 44, 46, 41, 31, 19, 9, 4, 3, 6, 10, 11, 10, 7, 4, 4, 7, 11, 15, 18, 17, 13, 8, 3, 0, 0, 0, 0, 0, 0, 0, 2, 5, 8, 10, 10, 8, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 5, 11, 17, 20, 20, 16, 10, 5, 0, 0, 0, 0, 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, 1, 1, 1, 0, 0, 0, 0, 6, 13, 21, 25, 24, 19, 13, 11, 18, 34, 56, 79, 96, 104, 101, 93, 85, 82, 85, 94, 103, 108, 105, 97, 87, 82, 86, 100, 121, 142, 157, 160, 152, 137, 120, 107, 103, 108, 118, 131, 141, 148, 151, 151, 148, 143, 136, 128, 120, 114, 111, 112, 117, 123, 128, 130, 128, 125, 122, 120, 119, 118, 115, 108, 99, 89, 79, 72, 68, 67, 70, 76, 84, 92, 99, 103, 104, 103, 100, 97, 95, 94, 93, 94, 96, 100, 107, 114, 118, 114, 101, 80, 58, 41, 36, 44, 61, 79, 91, 91, 80, 64, 50, 42, 43, 49, 55, 58, 57, 53, 50, 48, 48, 48, 45, 37, 26, 14, 4, 0, 0, 2, 6, 9, 10, 8, 5, 1, 0, 0, 1, 4, 7, 8, 7, 3, 0, 0, 0, 7, 16, 25, 30, 30, 24, 15, 6, 0, 0, 0, 3, 9, 16, 22, 26, 26, 22, 14, 5, 0, 0, 3, 12, 21, 26, 26, 21, 13, 6, 0, 0, 0, 1, 3, 5, 8, 11, 15, 19, 23, 27, 31, 35, 40, 45, 51, 57, 63, 68, 73, 78, 85, 92, 98, 100, 97, 91, 84, 80, 82, 91, 105, 122, 136, 143, 140, 127, 108, 89, 76, 73, 82, 100, 118, 128, 124, 104, 71, 38, 14, 7, 19, 43, 66, 79, 76, 59, 37, 22, 21, 35, 56, 75, 81, 70, 47, 21, 3, 1, 14, 38, 64, 83, 92, 91, 84, 76, 73, 75, 82, 91, 99, 102, 101, 97, 93, 91, 95, 101, 108, 111, 108, 101, 94, 91, 96, 110, 127, 139, 139, 129, 113, 101, 100, 113, 130, 142, 138, 114, 75, 34, 5, 0, 11, 40, 72, 94, 101, 90, 68, 40, 16, 0, 0, 1, 14, 31, 44, 51, 49, 38, 24, 10, 1, 0, 0, 1, 3, 3, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 6, 10, 14, 16, 15, 10, 5, 0, 0, 0, 3, 8, 12, 15, 16, 14, 10, 7, 6, 8, 14, 22, 32, 42, 52, 59, 65, 71, 76, 83, 92, 103, 112, 120, 122, 121, 117, 115, 117, 126, 141, 159, 176, 186, 189, 185, 178, 175, 178, 191, 211, 232, 250, 260, 262, 260, 257, 257, 262, 268, 271, 269, 259, 246, 234, 227, 229, 238, 249, 255, 254, 245, 230, 214, 200, 192, 188, 184, 174, 159, 138, 117, 103, 100, 108, 123, 136, 141, 133, 116, 97, 83, 80, 88, 102, 115, 119, 113, 97, 77, 59, 47, 42, 43, 47, 50, 50, 44, 35, 24, 16, 13, 19, 30, 44, 55, 60, 57, 47, 36, 26, 19, 17, 19, 24, 34, 47, 62, 74, 81, 80, 71, 59, 50, 49, 58, 76, 96, 113, 123, 128, 128, 129, 133, 140, 150, 161, 174, 189, 205, 220, 228, 226, 212, 190, 165, 147, 142, 150, 168, 187, 201, 206, 201, 191, 180, 171, 165, 163, 161, 159, 158, 158, 159, 160, 156, 147, 132, 113, 95, 83, 81, 90, 106, 124, 138, 143, 139, 128, 113, 100, 90, 84, 81, 77, 70, 57, 41, 26, 17, 16, 25, 38, 52, 60, 62, 59, 54, 52, 54, 59, 65, 67, 64, 58, 52, 52, 59, 73, 91, 108, 119, 121, 116, 108, 100, 98, 102, 112, 126, 140, 153, 163, 173, 181, 189, 194, 195, 192, 186, 178, 172, 169, 172, 181, 196, 216, 238, 259, 274, 280, 277, 268, 257, 252, 254, 262, 271, 277, 274, 264, 252, 242, 241, 248, 258, 266, 265, 254, 236, 217, 203, 198, 201, 210, 218, 221, 216, 206, 191, 175, 160, 149, 140, 133, 127, 123, 120, 121, 124, 131, 137, 141, 139, 131, 117, 102, 91, 87, 89, 93, 95, 91, 81, 68, 56, 51, 53, 60, 68, 73, 75, 75, 77, 82, 91, 100, 104, 102, 92, 78, 67, 62, 66, 77, 91, 104, 112, 118, 122, 125, 129, 131, 127, 118, 104, 92, 86, 92, 107, 129, 148, 157, 153, 137, 114, 93, 81, 78, 85, 95, 102, 102, 94, 82, 70, 63, 63, 67, 70, 68, 59, 45, 28, 13, 3, 0, 0, 1, 6, 11, 15, 17, 18, 15, 10, 4, 0, 0, 3, 10, 16, 19, 19, 15, 9, 3, 0, 0, 0, 0, 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, 1, 0, 0, 0, 0, 1, 4, 10, 15, 18, 18, 14, 9, 4, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 6, 10, 14, 15, 13, 9, 4, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 3, 10, 18, 27, 32, 32, 28, 22, 17, 16, 19, 26, 32, 35, 36, 37, 40, 49, 61, 75, 85, 89, 88, 87, 90, 102, 122, 144, 163, 173, 169, 156, 140, 130, 131, 146, 171, 198, 219, 228, 222, 207, 190, 178, 177, 185, 198, 209, 212, 204, 189, 171, 160, 158, 167, 182, 197, 204, 201, 188, 170, 153, 141, 138, 143, 152, 162, 170, 173, 172, 167, 158, 147, 131, 113, 94, 78, 68, 64, 66, 72, 78, 83, 85, 84, 82, 77, 69, 58, 44, 29, 18, 12, 12, 16, 21, 25, 24, 20, 16, 12, 11, 12, 13, 11, 8, 3, 0, 0, 2, 7, 12, 16, 17, 15, 10, 5, 0, 0, 0, 1, 8, 16, 24, 30, 32, 31, 29, 28, 31, 37, 42, 45, 41, 30, 17, 5, 0, 0, 10, 25, 41, 55, 62, 62, 55, 44, 33, 24, 20, 23, 32, 44, 55, 62, 63, 61, 57, 58, 64, 75, 87, 94, 92, 81, 64, 48, 39, 42, 55, 73, 91, 104, 109, 109, 107, 105, 105, 105, 103, 98, 92, 86, 82, 82, 82, 79, 69, 54, 37, 23, 18, 21, 31, 42, 50, 51, 45, 35, 26, 21, 19, 19, 18, 15, 10, 4, 0, 0, 5, 15, 26, 38, 46, 48, 45, 36, 23, 10, 0, 0, 2, 19, 42, 64, 78, 80, 70, 54, 38, 30, 31, 37, 42, 44, 41, 38, 37, 42, 50, 57, 58, 49, 33, 15, 2, 0, 5, 18, 33, 44, 49, 46, 39, 32, 28, 29, 35, 44, 52, 57, 57, 53, 45, 35, 26, 21, 20, 25, 36, 49, 60, 67, 65, 55, 42, 28, 17, 13, 16, 23, 34, 46, 60, 74, 84, 87, 81, 66, 46, 29, 20, 23, 36, 54, 69, 74, 68, 53, 35, 21, 15, 18, 28, 42, 56, 67, 75, 80, 81, 79, 75, 68, 60, 53, 50, 54, 65, 81, 101, 118, 129, 133, 130, 124, 117, 113, 111, 111, 111, 111, 110, 109, 108, 108, 106, 103, 101, 103, 110, 123, 139, 153, 160, 156, 142, 122, 100, 83, 73, 72, 79, 92, 107, 122, 135, 144, 146, 142, 133, 120, 106, 95, 89, 89, 94, 103, 113, 121, 125, 123, 116, 108, 101, 99, 101, 106, 111, 114, 115, 114, 112, 110, 107, 103, 94, 83, 71, 63, 61, 65, 76, 88, 98, 104, 106, 106, 106, 109, 115, 119, 119, 112, 98, 79, 63, 56, 63, 86, 120, 155, 182, 193, 185, 161, 130, 100, 80, 73, 80, 95, 114, 132, 146, 156, 161, 160, 155, 145, 133, 122, 115, 115, 122, 133, 146, 156, 159, 153, 139, 118, 95, 75, 62, 59, 68, 86, 108, 129, 144, 150, 144, 127, 101, 71, 41, 19, 10, 17, 38, 67, 94, 109, 109, 94, 70, 46, 29, 21, 22, 28, 34, 38, 39, 37, 35, 33, 29, 24, 17, 10, 3, 0, 0, 2, 9, 19, 30, 41, 48, 50, 45, 33, 18, 5, 0, 2, 18, 40, 63, 79, 82, 73, 54, 35, 22, 19, 24, 32, 37, 36, 32, 30, 34, 49, 71, 92, 106, 106, 92, 70, 49, 37, 36, 45, 55, 61, 61, 55, 50, 49, 52, 58, 60, 54, 41, 24, 9, 0, 0, 4, 12, 19, 26, 31, 37, 42, 46, 47, 41, 32, 19, 8, 0, 0, 0, 4, 8, 12, 14, 13, 12, 10, 9, 8, 7, 6, 4, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 8, 16, 24, 28, 27, 21, 12, 5, 0, 0, 0, 3, 4, 3, 2, 0, 0, 0, 0, 0, 0, 2, 4, 7, 11, 14, 17, 17, 16, 13, 10, 6, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 6, 13, 18, 19, 16, 8, 1, 0, 1, 13, 30, 47, 59, 63, 61, 54, 46, 39, 33, 29, 26, 27, 33, 46, 65, 85, 101, 106, 100, 85, 69, 59, 59, 69, 86, 105, 118, 124, 122, 116, 110, 109, 116, 128, 144, 156, 162, 158, 146, 131, 117, 111, 113, 121, 131, 139, 143, 144, 146, 152, 164, 180, 197, 211, 219, 221, 216, 207, 199, 192, 190, 195, 207, 226, 251, 277, 300, 316, 323, 320, 312, 304, 299, 299, 306, 316, 329, 343, 355, 366, 372, 373, 367, 355, 341, 329, 325, 329, 341, 356, 369, 376, 376, 372, 366, 362, 361, 363, 365, 365, 360, 352, 342, 333, 329, 333, 343, 356, 368, 373, 366, 349, 324, 297, 274, 259, 255, 259, 266, 271, 266, 251, 226, 197, 173, 161, 166, 187, 216, 242, 252, 240, 207, 163, 121, 96, 96, 120, 157, 193, 213, 208, 180, 137, 93, 60, 48, 56, 76, 98, 110, 107, 91, 69, 52, 45, 49, 60, 70, 73, 66, 53, 40, 34, 38, 50, 65, 75, 76, 67, 50, 30, 12, 1, 0, 3, 12, 22, 30, 33, 32, 28, 22, 18, 14, 11, 8, 5, 2, 0, 0, 2, 6, 10, 13, 12, 9, 3, 0, 0, 2, 13, 29, 43, 52, 52, 43, 28, 13, 2, 0, 0, 1, 4, 6, 5, 3, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 3, 5, 6, 6, 4, 2, 0, 0, 0, 1, 3, 4, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0],
"basecallPos": [391, 403, 417, 425, 433, 447, 460, 472, 484, 495, 506, 517, 527, 540, 552, 564, 573, 584, 593, 604, 617, 630, 645, 655, 664, 676, 690, 704, 715, 728, 741, 750, 759, 770, 783, 796, 806, 819, 832, 845, 856, 870, 882, 894, 907, 917, 928, 941, 953, 966, 977, 990, 1001, 1011, 1022, 1034, 1047, 1059, 1070, 1079, 1091, 1101, 1112, 1124, 1135, 1147, 1158, 1170, 1181, 1191, 1205, 1215, 1226, 1237, 1250, 1263, 1277, 1289, 1301, 1313, 1324, 1334, 1346, 1357, 1369, 1383, 1394, 1406, 1418, 1430, 1441, 1451, 1462, 1474, 1484, 1495, 1506, 1518, 1530, 1541, 1554, 1567, 1579, 1591, 1604, 1615, 1628, 1640, 1652, 1665, 1676, 1686, 1697, 1707, 1718, 1731, 1743, 1755, 1768, 1781, 1793, 1805, 1817, 1830, 1842, 1854, 1865, 1877, 1888, 1900, 1912, 1925, 1936, 1947, 1958, 1971, 1983, 1995, 2005, 2017, 2029, 2041, 2055, 2066, 2079, 2088, 2100, 2111, 2123, 2135, 2148, 2161, 2172, 2184, 2196, 2208, 2222, 2232, 2243, 2256, 2268, 2280, 2293, 2305, 2317, 2330, 2343, 2354, 2367, 2377, 2388, 2400, 2413, 2424, 2438, 2449, 2462, 2473, 2484, 2496, 2507, 2519, 2531, 2544, 2556, 2569, 2582, 2594, 2606, 2619, 2630, 2643, 2654, 2666, 2678, 2691, 2702, 2714, 2728, 2740, 2751, 2761, 2772, 2784, 2797, 2810, 2822, 2835, 2846, 2857, 2869, 2880, 2893, 2905, 2918, 2930, 2942, 2953, 2965, 2977, 2990, 3002, 3012, 3024, 3036, 3049, 3059, 3072, 3085, 3097, 3109, 3120, 3133, 3145, 3157, 3168, 3180, 3193, 3205, 3218, 3229, 3241, 3252, 3265, 3278, 3290, 3300, 3313, 3325, 3335, 3347, 3358, 3371, 3384, 3397, 3409, 3422, 3433, 3446, 3457, 3468, 3480, 3493, 3505, 3517, 3530, 3542, 3554, 3566, 3577, 3588, 3601, 3613, 3625, 3637, 3650, 3662, 3674, 3686, 3698, 3710, 3723, 3735, 3747, 3760, 3772, 3784, 3796, 3807, 3819, 3831, 3842, 3854, 3867, 3880, 3893, 3905, 3917, 3929, 3941, 3954, 3966, 3977, 3988, 4000, 4012, 4024, 4037, 4048, 4061, 4073, 4085, 4096, 4109, 4121, 4134, 4146, 4157, 4169, 4181, 4193, 4205, 4218, 4230, 4242, 4253, 4264, 4276, 4288, 4300, 4313, 4325, 4337, 4349, 4361, 4373, 4385, 4397, 4409, 4422, 4434, 4445, 4458, 4471, 4482, 4494, 4506, 4518, 4531, 4543, 4554, 4565, 4577, 4588, 4599, 4611, 4623, 4635, 4648, 4659, 4671, 4682, 4694, 4705, 4718, 4731, 4742, 4753, 4764, 4777, 4790, 4802, 4815, 4827, 4837, 4849, 4860, 4873, 4885, 4898, 4910, 4923, 4934, 4947, 4958, 4970, 4981, 4993, 5005, 5018, 5030, 5043, 5056, 5067, 5078, 5090, 5102, 5114, 5126, 5138, 5149, 5160, 5170, 5183, 5194, 5206, 5219, 5232, 5245, 5256, 5268, 5280, 5291, 5303, 5315, 5328, 5340, 5351, 5362, 5374, 5386, 5398, 5412, 5423, 5435, 5447, 5459, 5470, 5482, 5494, 5506, 5519, 5531, 5544, 5555, 5566, 5579, 5590, 5602, 5613, 5624, 5637, 5650, 5662, 5673, 5684, 5697, 5709, 5721, 5732, 5744, 5754, 5767, 5780, 5792, 5805, 5817, 5829, 5841, 5852, 5864, 5875, 5887, 5898, 5911, 5923, 5936, 5948, 5960, 5973, 5983, 5995, 6007, 6020, 6031, 6043, 6055, 6068, 6080, 6092, 6104, 6116, 6127, 6139, 6152, 6164, 6175, 6188, 6199, 6211, 6223, 6234, 6248, 6259, 6270, 6283, 6293, 6306, 6319, 6330, 6342, 6353, 6365, 6377, 6389, 6401, 6413, 6424, 6436, 6449, 6462, 6475, 6487, 6501, 6512, 6523, 6536, 6548, 6559, 6572, 6583, 6596, 6608, 6619, 6631, 6645, 6657, 6669, 6682, 6693, 6704, 6715, 6728, 6740, 6752, 6766, 6777, 6788, 6801, 6814, 6825, 6837, 6849, 6860, 6871, 6884, 6895, 6910, 6922, 6934, 6947, 6958, 6973, 6983, 6995, 7008, 7021, 7031, 7043, 7056, 7068, 7082, 7094, 7104, 7116, 7129, 7141, 7154, 7166, 7178, 7190, 7202, 7214, 7227, 7241, 7252, 7261, 7271, 7287, 7297, 7310, 7322, 7333, 7347, 7358],
"basecalls": {"391":"1:G", "403":"2:T", "417":"3:C", "425":"4:A", "433":"5:A", "447":"6:G", "460":"7:A", "472":"8:G", "484":"9:G", "495":"10:C", "506":"11:T", "517":"12:A", "527":"13:T", "540":"14:G", "552":"15:C", "564":"16:C", "573":"17:A", "584":"18:C", "593":"19:A", "604":"20:A", "617":"21:G", "630":"22:G", "645":"23:A", "655":"24:A", "664":"25:T", "676":"26:T", "690":"27:G", "704":"28:G", "715":"29:T", "728":"30:G", "741":"31:A", "750":"32:C", "759":"33:A", "770":"34:T", "783":"35:G", "796":"36:A", "806":"37:T", "819":"38:T", "832":"39:G", "845":"40:A", "856":"41:G", "870":"42:G", "882":"43:G", "894":"44:G", "907":"45:G", "917":"46:C", "928":"47:C", "941":"48:G", "953":"49:T", "966":"50:T", "977":"51:G", "990":"52:A", "1001":"53:A", "1011":"-", "1022":"-", "1034":"54:G", "1047":"55:G", "1059":"56:G", "1070":"57:A", "1079":"58:T", "1091":"59:T", "1101":"60:A", "1112":"61:C", "1124":"62:T", "1135":"63:A", "1147":"64:A", "1158":"65:A", "1170":"66:A", "1181":"67:A", "1191":"68:T", "1205":"69:G", "1215":"70:C", "1226":"71:A", "1237":"72:T", "1250":"73:T", "1263":"74:G", "1277":"75:G", "1289":"76:T", "1301":"77:T", "1313":"78:C", "1324":"79:C", "1334":"80:C", "1346":"81:C", "1357":"82:C", "1369":"83:G", "1383":"84:A", "1394":"85:C", "1406":"86:C", "1418":"87:T", "1430":"88:C", "1441":"89:C", "1451":"90:A", "1462":"91:C", "1474":"92:C", "1484":"93:A", "1495":"-", "1506":"-", "1518":"94:A", "1530":"95:T", "1541":"96:A", "1554":"97:G", "1567":"98:C", "1579":"99:C", "1591":"100:T", "1604":"101:G", "1615":"102:C", "1628":"103:C", "1640":"104:T", "1652":"105:G", "1665":"106:A", "1676":"107:C", "1686":"108:A", "1697":"109:C", "1707":"110:A", "1718":"111:A", "1731":"112:A", "1743":"113:G", "1755":"114:C", "1768":"115:C", "1781":"116:G", "1793":"117:A", "1805":"118:G", "1817":"119:C", "1830":"120:G", "1842":"121:G", "1854":"122:C", "1865":"123:C", "1877":"124:C", "1888":"125:A", "1900":"126:G", "1912":"127:C", "1925":"128:C", "1936":"129:C", "1947":"130:A", "1958":"131:C", "1971":"132:T", "1983":"133:C", "1995":"134:C", "2005":"135:A", "2017":"136:A", "2029":"137:G", "2041":"138:G", "2055":"139:A", "2066":"140:G", "2079":"141:A", "2088":"142:T", "2100":"143:A", "2111":"144:C", "2123":"145:C", "2135":"146:C", "2148":"147:G", "2161":"148:C", "2172":"149:A", "2184":"150:T", "2196":"151:T", "2208":"152:G", "2222":"153:A", "2232":"154:C", "2243":"155:A", "2256":"156:G", "2268":"157:C", "2280":"158:T", "2293":"159:G", "2305":"160:T", "2317":"161:G", "2330":"162:G", "2343":"163:A", "2354":"164:G", "2367":"165:A", "2377":"166:C", "2388":"167:A", "2400":"168:G", "2413":"169:G", "2424":"170:G", "2438":"171:G", "2449":"172:C", "2462":"173:T", "2473":"174:A", "2484":"175:C", "2496":"176:C", "2507":"177:A", "2519":"178:A", "2531":"179:T", "2544":"180:C", "2556":"181:C", "2569":"182:G", "2582":"183:T", "2594":"184:T", "2606":"185:G", "2619":"186:G", "2630":"187:T", "2643":"188:G", "2654":"189:C", "2666":"190:C", "2678":"191:T", "2691":"192:T", "2702":"193:C", "2714":"194:G", "2728":"195:G", "2740":"196:A", "2751":"197:C", "2761":"198:A", "2772":"199:C", "2784":"200:C", "2797":"201:G", "2810":"202:T", "2822":"203:G", "2835":"204:C", "2846":"205:A", "2857":"206:A", "2869":"207:A", "2880":"208:C", "2893":"209:G", "2905":"210:C", "2918":"211:G", "2930":"212:C", "2942":"213:C", "2953":"214:A", "2965":"215:T", "2977":"216:G", "2990":"217:T", "3002":"218:C", "3012":"219:A", "3024":"220:T", "3036":"221:C", "3049":"222:C", "3059":"223:A", "3072":"224:G", "3085":"225:A", "3097":"226:G", "3109":"227:A", "3120":"228:C", "3133":"229:G", "3145":"230:A", "3157":"231:A", "3168":"232:C", "3180":"233:G", "3193":"234:C", "3205":"235:G", "3218":"236:A", "3229":"237:T", "3241":"238:C", "3252":"239:A", "3265":"240:G", "3278":"241:A", "3290":"242:A", "3300":"243:T", "3313":"244:C", "3325":"245:C", "3335":"246:A", "3347":"247:C", "3358":"248:A", "3371":"249:G", "3384":"250:T", "3397":"251:T", "3409":"252:G", "3422":"253:A", "3433":"254:G", "3446":"255:T", "3457":"256:C", "3468":"257:A", "3480":"258:T", "3493":"259:T", "3505":"260:C", "3517":"261:T", "3530":"262:T", "3542":"263:T", "3554":"264:G", "3566":"265:C", "3577":"266:A", "3588":"267:A", "3601":"268:G", "3613":"269:A", "3625":"270:G", "3637":"271:G", "3650":"272:G", "3662":"273:G", "3674":"274:C", "3686":"275:T", "3698":"276:T", "3710":"277:G", "3723":"278:T", "3735":"279:G", "3747":"280:T", "3760":"281:G", "3772":"282:G", "3784":"283:C", "3796":"284:T", "3807":"285:A", "3819":"286:T", "3831":"287:C", "3842":"288:A", "3854":"289:T", "3867":"290:T", "3880":"291:G", "3893":"292:A", "3905":"293:G", "3917":"294:G", "3929":"295:T", "3941":"296:G", "3954":"297:G", "3966":"298:A", "3977":"299:C", "3988":"300:A", "4000":"301:A", "4012":"302:T", "4024":"303:G", "4037":"304:A", "4048":"305:T", "4061":"306:G", "4073":"307:C", "4085":"308:A", "4096":"309:C", "4109":"310:C", "4121":"311:G", "4134":"312:A", "4146":"313:C", "4157":"314:A", "4169":"315:A", "4181":"316:A", "4193":"317:G", "4205":"318:C", "4218":"319:G", "4230":"320:C", "4242":"321:A", "4253":"322:C", "4264":"-", "4276":"323:C", "4288":"324:A", "4300":"325:G", "4313":"326:C", "4325":"327:A", "4337":"328:G", "4349":"329:A", "4361":"330:T", "4373":"331:T", "4385":"332:G", "4397":"333:T", "4409":"334:T", "4422":"335:T", "4434":"336:T", "4445":"337:C", "4458":"338:G", "4471":"339:G", "4482":"340:T", "4494":"341:T", "4506":"342:T", "4518":"343:G", "4531":"344:G", "4543":"345:A", "4554":"346:A", "4565":"347:A", "4577":"348:A", "4588":"349:T", "4599":"350:A", "4611":"351:A", "4623":"352:C", "4635":"353:T", "4648":"354:T", "4659":"355:A", "4671":"356:C", "4682":"357:A", "4694":"358:A", "4705":"359:A", "4718":"360:G", "4731":"361:A", "4742":"362:T", "4753":"363:A", "4764":"364:C", "4777":"365:T", "4790":"366:G", "4802":"367:T", "4815":"368:T", "4827":"369:C", "4837":"370:A", "4849":"371:A", "4860":"372:C", "4873":"373:T", "4885":"374:G", "4898":"375:A", "4910":"376:G", "4923":"377:A", "4934":"378:C", "4947":"379:G", "4958":"380:C", "4970":"381:A", "4981":"382:A", "4993":"383:G", "5005":"384:C", "5018":"385:T", "5030":"386:G", "5043":"387:G", "5056":"388:A", "5067":"389:A", "5078":"390:T", "5090":"391:T", "5102":"392:T", "5114":"393:T", "5126":"394:T", "5138":"395:C", "5149":"396:A", "5160":"397:C", "5170":"398:A", "5183":"399:T", "5194":"400:A", "5206":"401:T", "5219":"402:T", "5232":"403:C", "5245":"404:G", "5256":"405:A", "5268":"406:G", "5280":"407:A", "5291":"408:T", "5303":"409:T", "5315":"410:T", "5328":"411:G", "5340":"412:A", "5351":"413:C", "5362":"414:A", "5374":"415:T", "5386":"416:G", "5398":"417:G", "5412":"418:A", "5423":"419:G", "5435":"420:T", "5447":"421:T", "5459":"422:C", "5470":"423:A", "5482":"424:C", "5494":"425:T", "5506":"426:T", "5519":"427:T", "5531":"428:T", "5544":"429:G", "5555":"430:T", "5566":"431:A", "5579":"432:G", "5590":"433:T", "5602":"434:C", "5613":"435:A", "5624":"436:C", "5637":"437:C", "5650":"438:T", "5662":"439:C", "5673":"440:A", "5684":"441:A", "5697":"442:A", "5709":"443:C", "5721":"444:T", "5732":"445:A", "5744":"446:C", "5754":"447:A", "5767":"448:C", "5780":"449:C", "5792":"450:G", "5805":"451:A", "5817":"452:T", "5829":"453:G", "5841":"454:C", "5852":"455:A", "5864":"456:A", "5875":"457:A", "5887":"458:T", "5898":"459:A", "5911":"460:A", "5923":"461:C", "5936":"462:G", "5948":"463:G", "5960":"464:A", "5973":"465:C", "5983":"466:A", "5995":"467:T", "6007":"468:G", "6020":"469:C", "6031":"470:A", "6043":"471:T", "6055":"472:T", "6068":"473:G", "6080":"474:A", "6092":"475:A", "6104":"476:C", "6116":"477:C", "6127":"478:A", "6139":"479:A", "6152":"480:G", "6164":"481:T", "6175":"482:T", "6188":"483:T", "6199":"484:A", "6211":"485:T", "6223":"486:C", "6234":"487:A", "6248":"488:G", "6259":"489:A", "6270":"490:T", "6283":"491:A", "6293":"492:A", "6306":"493:T", "6319":"494:G", "6330":"495:T", "6342":"496:A", "6353":"497:T", "6365":"498:A", "6377":"499:T", "6389":"500:A", "6401":"501:C", "6413":"502:C", "6424":"503:A", "6436":"504:C", "6449":"505:C", "6462":"506:C", "6475":"507:G", "6487":"508:G", "6501":"509:A", "6512":"510:G", "6523":"511:C", "6536":"512:A", "6548":"513:C", "6559":"514:C", "6572":"515:T", "6583":"516:A", "6596":"517:T", "6608":"518:C", "6619":"519:C", "6631":"520:C", "6645":"521:T", "6657":"522:G", "6669":"523:G", "6682":"524:T", "6693":"525:A", "6704":"526:A", "6715":"527:A", "6728":"528:T", "6740":"529:G", "6752":"530:G", "6766":"531:A", "6777":"532:A", "6788":"533:C", "6801":"534:G", "6814":"535:A", "6825":"536:T", "6837":"537:T", "6849":"538:A", "6860":"539:C", "6871":"540:A", "6884":"541:C", "6895":"542:G", "6910":"543:T", "6922":"544:G", "6934":"545:G", "6947":"546:C", "6958":"547:A", "6973":"548:G", "6983":"549:A", "6995":"550:C", "7008":"551:G", "7021":"552:T", "7031":"553:C", "7043":"554:C", "7056":"555:T", "7068":"556:C", "7082":"557:T", "7094":"558:A", "7104":"559:A", "7116":"560:C", "7129":"561:C", "7141":"562:C", "7154":"563:G", "7166":"564:T", "7178":"565:C", "7190":"566:G", "7202":"567:G", "7214":"568:T", "7227":"569:G", "7241":"570:T", "7252":"571:T", "7261":"572:T", "7271":"573:T", "7287":"574:A", "7297":"575:C", "7310":"576:A", "7322":"577:C", "7333":"578:C", "7347":"579:T", "7358":"580:A"}
}
, {
"traceFileName": "dataset_152161",
"leadingGaps": 2394,
"trailingGaps": 4608,
"peakA": [1, 1, 1, 1, 1, 0, 0, 0, 1, 5, 10, 14, 17, 16, 13, 8, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 6, 6, 4, 1, 0, 0, 6, 18, 32, 46, 54, 55, 48, 36, 22, 10, 2, 0, 0, 1, 5, 11, 17, 23, 28, 30, 30, 25, 19, 11, 5, 1, 0, 0, 2, 5, 7, 9, 10, 11, 11, 11, 10, 8, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 6, 10, 12, 11, 8, 5, 2, 1, 2, 3, 4, 3, 1, 0, 0, 4, 10, 16, 21, 22, 21, 17, 12, 8, 7, 6, 7, 7, 6, 4, 2, 0, 0, 0, 2, 4, 5, 5, 6, 6, 7, 8, 9, 10, 9, 7, 4, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 3, 4, 4, 5, 7, 10, 15, 21, 25, 27, 26, 22, 16, 11, 7, 7, 10, 13, 16, 15, 11, 5, 0, 0, 0, 3, 6, 5, 0, 0, 5, 43, 120, 237, 381, 523, 631, 678, 650, 554, 414, 264, 136, 47, 2, 0, 0, 11, 20, 23, 22, 21, 20, 19, 16, 12, 6, 1, 0, 1, 5, 10, 13, 15, 13, 10, 5, 1, 0, 0, 1, 4, 8, 13, 18, 24, 28, 30, 31, 29, 26, 23, 19, 17, 17, 18, 19, 21, 20, 18, 13, 8, 4, 1, 1, 2, 5, 9, 14, 18, 22, 26, 28, 29, 27, 23, 17, 12, 9, 9, 10, 10, 5, 0, 0, 11, 55, 138, 258, 398, 532, 629, 665, 628, 524, 376, 220, 94, 30, 44, 135, 281, 448, 596, 689, 706, 645, 524, 373, 226, 108, 33, 0, 0, 4, 15, 22, 25, 25, 25, 25, 23, 20, 15, 11, 10, 13, 19, 27, 31, 30, 24, 20, 29, 63, 129, 227, 343, 456, 539, 571, 543, 461, 344, 219, 112, 38, 0, 0, 3, 19, 33, 41, 45, 45, 42, 38, 33, 28, 24, 21, 21, 23, 28, 34, 39, 43, 44, 40, 33, 23, 13, 6, 4, 9, 18, 27, 34, 35, 30, 22, 12, 5, 2, 2, 4, 6, 7, 9, 10, 12, 12, 8, 0, 0, 1, 38, 114, 228, 368, 504, 604, 644, 611, 515, 380, 239, 121, 41, 1, 0, 0, 11, 18, 21, 21, 20, 20, 20, 19, 17, 16, 14, 12, 11, 10, 9, 9, 10, 13, 15, 16, 14, 10, 4, 0, 0, 3, 11, 22, 33, 39, 40, 34, 25, 15, 8, 6, 11, 19, 28, 34, 34, 29, 21, 13, 6, 4, 5, 9, 14, 17, 19, 20, 20, 21, 21, 21, 19, 15, 11, 6, 4, 4, 5, 8, 9, 9, 7, 4, 1, 0, 0, 1, 6, 12, 17, 20, 20, 17, 12, 7, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 4, 5, 5, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 8, 7, 6, 3, 1, 0, 0, 1, 2, 4, 5, 8, 11, 16, 21, 25, 25, 23, 19, 13, 7, 3, 1, 0, 0, 0, 0, 1, 2, 5, 7, 9, 10, 9, 6, 4, 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, 1, 2, 3, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 5, 4, 2, 0, 0, 0, 1, 5, 6, 3, 0, 0, 11, 52, 126, 228, 345, 451, 521, 538, 495, 405, 290, 176, 85, 27, 0, 0, 0, 1, 2, 3, 4, 4, 1, 0, 0, 6, 46, 120, 224, 338, 435, 489, 484, 422, 321, 208, 108, 39, 3, 0, 0, 7, 15, 19, 20, 16, 9, 0, 0, 8, 52, 134, 250, 385, 509, 592, 612, 559, 445, 298, 156, 55, 24, 70, 182, 330, 476, 582, 620, 584, 485, 351, 215, 104, 32, 0, 0, 3, 14, 22, 25, 24, 19, 10, 0, 0, 5, 44, 120, 226, 347, 454, 520, 527, 473, 372, 251, 139, 56, 9, 0, 0, 5, 15, 22, 26, 27, 22, 12, 0, 0, 12, 63, 151, 267, 389, 489, 539, 526, 455, 344, 222, 115, 41, 3, 0, 0, 9, 18, 24, 25, 22, 14, 4, 0, 0, 26, 82, 165, 262, 351, 410, 423, 386, 310, 215, 123, 52, 10, 0, 0, 10, 20, 23, 21, 15, 9, 4, 2, 1, 0, 0, 0, 0, 1, 6, 9, 6, 0, 0, 6, 53, 142, 271, 419, 554, 641, 656, 596, 476, 329, 189, 81, 17, 0, 0, 7, 22, 34, 43, 48, 49, 45, 35, 22, 9, 1, 0, 5, 12, 17, 19, 16, 10, 5, 2, 1, 1, 1, 0, 0, 0, 0, 5, 9, 8, 1, 0, 0, 35, 112, 233, 379, 519, 619, 647, 593, 468, 304, 144, 31, 0, 42, 165, 330, 495, 619, 671, 640, 539, 397, 248, 124, 41, 0, 0, 1, 14, 25, 32, 34, 30, 20, 6, 0, 0, 39, 121, 246, 396, 538, 639, 671, 624, 511, 362, 213, 94, 21, 0, 0, 16, 38, 54, 61, 61, 56, 48, 37, 26, 15, 9, 8, 14, 25, 37, 48, 53, 51, 42, 30, 17, 6, 0, 0, 0, 3, 8, 13, 16, 17, 15, 12, 8, 4, 1, 0, 0, 0, 3, 8, 16, 22, 23, 16, 1, 0, 0, 46, 142, 282, 441, 584, 672, 681, 608, 474, 315, 170, 65, 8, 0, 0, 9, 18, 19, 16, 13, 10, 9, 7, 4, 2, 2, 4, 9, 16, 22, 25, 24, 20, 14, 8, 3, 0, 0, 0, 3, 8, 13, 18, 22, 24, 23, 20, 16, 10, 4, 0, 0, 0, 4, 9, 8, 2, 0, 0, 20, 80, 174, 291, 404, 483, 505, 464, 372, 255, 144, 60, 12, 0, 0, 0, 2, 2, 3, 5, 7, 4, 0, 0, 8, 60, 158, 297, 454, 592, 672, 671, 586, 437, 263, 107, 6, 0, 41, 163, 318, 466, 571, 607, 567, 464, 329, 194, 87, 21, 0, 0, 9, 25, 38, 46, 49, 48, 42, 33, 23, 13, 6, 4, 7, 14, 23, 33, 39, 37, 25, 7, 0, 1, 49, 151, 304, 486, 663, 790, 834, 778, 634, 434, 228, 66, 0, 11, 129, 311, 510, 675, 765, 758, 661, 504, 327, 170, 60, 2, 0, 3, 27, 48, 61, 64, 59, 49, 36, 21, 9, 1, 1, 7, 18, 30, 41, 48, 47, 42, 32, 20, 9, 1, 0, 0, 5, 16, 30, 42, 50, 52, 46, 34, 20, 8, 0, 0, 0, 8, 17, 25, 28, 27, 22, 14, 7, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 3, 1, 0, 0, 0, 2, 7, 10, 7, 0, 0, 6, 54, 146, 276, 420, 543, 612, 605, 525, 394, 249, 124, 40, 0, 0, 0, 5, 5, 2, 0, 0, 2, 0, 0, 0, 16, 71, 169, 302, 444, 561, 620, 603, 515, 381, 236, 114, 33, 0, 0, 2, 12, 16, 15, 11, 8, 8, 9, 10, 7, 3, 0, 0, 0, 6, 13, 16, 10, 0, 0, 8, 63, 165, 308, 467, 606, 686, 687, 606, 466, 306, 161, 59, 5, 0, 0, 8, 15, 16, 14, 13, 14, 16, 15, 13, 7, 2, 0, 0, 2, 7, 12, 16, 17, 16, 12, 6, 0, 0, 0, 0, 8, 13, 10, 0, 0, 0, 46, 146, 299, 482, 655, 772, 800, 729, 581, 395, 218, 87, 13, 0, 0, 9, 17, 17, 13, 9, 9, 10, 12, 10, 6, 2, 0, 2, 9, 18, 26, 32, 33, 29, 22, 13, 5, 0, 0, 1, 10, 22, 34, 43, 45, 41, 31, 19, 8, 2, 1, 3, 8, 14, 18, 19, 18, 15, 11, 6, 2, 0, 0, 0, 3, 5, 7, 7, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 7, 10, 11, 10, 8, 4, 2, 2, 4, 8, 14, 20, 25, 28, 30, 29, 26, 21, 17, 12, 9, 7, 5, 4, 3, 2, 0, 0, 0, 0, 3, 5, 7, 8, 7, 4, 2, 0, 0, 1, 3, 4, 2, 0, 0, 0, 0, 7, 12, 10, 1, 0, 0, 44, 140, 284, 455, 614, 718, 736, 662, 512, 326, 149, 22, 0, 17, 138, 311, 497, 649, 732, 723, 629, 475, 304, 154, 50, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 0, 0, 3, 22, 36, 44, 47, 48, 47, 44, 39, 32, 24, 20, 20, 26, 35, 45, 53, 56, 55, 48, 38, 28, 19, 13, 10, 12, 18, 28, 38, 45, 44, 31, 10, 0, 0, 43, 148, 305, 490, 661, 775, 798, 724, 575, 391, 218, 88, 14, 0, 0, 11, 25, 32, 34, 34, 33, 30, 22, 13, 4, 0, 2, 11, 23, 31, 30, 19, 3, 0, 10, 61, 152, 271, 395, 494, 541, 524, 446, 331, 207, 102, 32, 0, 0, 0, 13, 24, 33, 41, 47, 50, 48, 38, 24, 10, 0, 0, 2, 13, 24, 28, 22, 7, 0, 0, 42, 130, 261, 415, 560, 656, 676, 610, 473, 298, 132, 18, 0, 46, 183, 363, 537, 660, 698, 642, 506, 325, 149, 22, 0, 32, 172, 365, 562, 712, 773, 730, 594, 402, 203, 51, 0, 13, 136, 322, 524, 691, 781, 770, 661, 484, 282, 106, 0, 0, 76, 245, 455, 655, 794, 839, 779, 634, 444, 255, 107, 18, 0, 0, 29, 62, 85, 95, 91, 77, 57, 35, 15, 2, 0, 6, 23, 46, 69, 86, 94, 90, 75, 53, 29, 9, 0, 0, 7, 27, 49, 66, 69, 55, 27, 0, 0, 27, 122, 270, 449, 615, 726, 750, 679, 535, 358, 192, 70, 4, 0, 0, 19, 35, 41, 39, 33, 25, 17, 10, 4, 0, 0, 4, 10, 17, 24, 28, 29, 25, 19, 12, 5, 0, 0, 0, 4, 13, 25, 38, 51, 58, 60, 54, 42, 29, 16, 9, 7, 13, 22, 33, 41, 46, 46, 40, 31, 20, 11, 6, 5, 7, 12, 17, 20, 19, 16, 12, 8, 6, 6, 7, 9, 9, 8, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 6, 8, 10, 9, 6, 2, 0, 0, 1, 5, 10, 14, 16, 16, 14, 11, 10, 9, 10, 11, 11, 12, 14, 17, 20, 23, 24, 22, 18, 12, 7, 4, 3, 6, 10, 15, 21, 26, 28, 28, 23, 15, 6, 1, 1, 5, 9, 7, 0, 0, 0, 35, 114, 233, 375, 506, 590, 602, 538, 417, 273, 141, 47, 0, 0, 0, 15, 23, 23, 19, 14, 12, 14, 17, 19, 19, 16, 12, 8, 5, 3, 3, 6, 11, 17, 22, 27, 29, 28, 27, 24, 21, 19, 18, 17, 15, 13, 10, 7, 3, 2, 2, 5, 10, 15, 18, 20, 18, 14, 10, 6, 3, 1, 0, 0, 0, 0, 3, 8, 9, 5, 0, 0, 12, 66, 160, 286, 419, 526, 575, 552, 464, 335, 201, 90, 21, 0, 0, 5, 17, 22, 20, 16, 12, 10, 8, 8, 7, 6, 4, 2, 0, 0, 1, 7, 15, 19, 14, 2, 0, 0, 44, 140, 281, 443, 588, 675, 677, 592, 439, 258, 95, 0, 0, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 67, 237, 456, 671, 828, 884, 826, 673, 469, 268, 111, 18, 0, 0, 15, 38, 51, 51, 37, 14, 0, 0, 31, 129, 285, 479, 667, 800, 840, 775, 624, 429, 241, 97, 14, 0, 0, 16, 37, 53, 65, 74, 81, 82, 75, 60, 40, 21, 10, 10, 20, 38, 58, 74, 80, 76, 62, 42, 21, 6, 0, 1, 11, 26, 41, 51, 54, 50, 39, 25, 11, 2, 0, 3, 14, 28, 41, 50, 51, 44, 31, 17, 8, 7, 18, 36, 58, 77, 86, 84, 71, 51, 31, 14, 4, 0, 0, 3, 5, 8, 10, 12, 12, 12, 10, 7, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 4, 4, 4, 4, 3, 2, 0, 0, 0, 0, 4, 10, 13, 8, 0, 0, 6, 59, 159, 298, 450, 577, 644, 631, 541, 402, 250, 121, 36, 0, 0, 0, 12, 20, 24, 25, 21, 10, 0, 0, 5, 60, 163, 302, 449, 566, 618, 591, 493, 353, 209, 94, 23, 0, 0, 0, 11, 19, 24, 25, 20, 8, 0, 0, 32, 119, 263, 443, 622, 752, 795, 732, 577, 370, 168, 27, 0, 59, 225, 442, 651, 795, 835, 757, 583, 359, 147, 7, 0, 82, 288, 546, 788, 946, 979, 881, 686, 451, 236, 82, 2, 0, 0, 26, 46, 57, 61, 62, 60, 54, 42, 26, 10, 1, 2, 17, 40, 65, 86, 96, 92, 77, 55, 31, 11, 0, 0, 4, 19, 38, 56, 70, 74, 68, 53, 34, 16, 3, 0, 2, 13, 29, 45, 57, 57, 41, 13, 0, 0, 49, 180, 376, 601, 799, 912, 905, 779, 575, 350, 160, 39, 0, 0, 9, 28, 34, 29, 21, 15, 13, 14, 15, 13, 9, 6, 5, 7, 13, 21, 28, 32, 33, 29, 22, 13, 5, 0, 0, 2, 10, 20, 29, 35, 35, 29, 21, 13, 9, 9, 15, 23, 31, 35, 35, 31, 24, 16, 9, 4, 0, 0, 0, 2, 5, 10, 14, 17, 17, 15, 11, 6, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 3, 5, 4, 1, 0, 0, 0, 5, 14, 18, 11, 0, 0, 9, 88, 235, 434, 644, 811, 885, 842, 697, 492, 284, 120, 22, 0, 0, 11, 24, 25, 18, 10, 6, 7, 9, 10, 8, 4, 1, 0, 3, 9, 15, 19, 20, 17, 11, 5, 0, 0, 0, 2, 8, 13, 18, 20, 19, 15, 11, 7, 4, 1, 0, 0, 0, 0, 7, 14, 18, 12, 0, 0, 1, 53, 155, 299, 457, 588, 654, 634, 535, 386, 229, 101, 22, 0, 0, 6, 16, 18, 14, 8, 6, 8, 10, 11, 9, 5, 1, 0, 0, 3, 7, 9, 9, 8, 5, 3, 0, 0, 0, 0, 0, 2, 5, 8, 11, 13, 13, 13, 10, 7, 2, 0, 0, 0, 2, 12, 19, 15, 2, 0, 0, 53, 173, 351, 553, 728, 826, 813, 692, 495, 276, 92, 0, 0, 75, 237, 425, 589, 685, 690, 605, 458, 292, 146, 47, 0, 0, 0, 14, 24, 30, 35, 40, 44, 44, 38, 27, 14, 4, 0, 0, 5, 15, 27, 36, 36, 22, 0, 0, 0, 73, 218, 419, 639, 819, 907, 875, 734, 526, 309, 134, 27, 0, 0, 14, 36, 49, 56, 58, 54, 40, 14, 0, 0, 49, 189, 407, 665, 899, 1042, 1051, 923, 698, 440, 215, 62, 0, 0, 1, 25, 38, 36, 21, 2, 0, 0, 29, 111, 236, 386, 528, 624, 644, 584, 460, 307, 166, 62, 5, 0, 0, 9, 23, 33, 41, 48, 52, 51, 44, 31, 16, 4, 0, 0, 3, 13, 25, 34, 39, 39, 33, 23, 12, 3, 0, 0, 1, 8, 16, 23, 27, 27, 22, 14, 6, 0, 0, 0, 4, 9, 14, 17, 17, 14, 10, 7, 4, 4, 3, 1, 0, 0, 0, 2, 12, 20, 20, 8, 0, 0, 28, 128, 288, 484, 668, 786, 802, 711, 541, 342, 167, 48, 0, 0, 4, 21, 27, 22, 11, 2, 0, 0, 3, 4, 3, 1, 0, 1, 6, 14, 22, 27, 28, 24, 16, 7, 0, 0, 0, 3, 9, 10, 5, 0, 0, 14, 71, 170, 303, 442, 554, 605, 580, 487, 351, 210, 96, 25, 0, 0, 0, 5, 8, 12, 16, 17, 11, 0, 0, 3, 74, 214, 412, 631, 813, 905, 880, 744, 539, 322, 144, 33, 0, 0, 9, 28, 36, 34, 30, 26, 23, 20, 14, 7, 1, 0, 7, 20, 36, 51, 60, 60, 50, 35, 19, 5, 0, 0, 4, 15, 28, 38, 42, 39, 31, 19, 8, 1, 0, 0, 2, 6, 10, 14, 19, 24, 27, 28, 25, 18, 11, 4, 0, 0, 0, 3, 6, 7, 6, 5, 3, 2, 1, 2, 3, 4, 6, 8, 10, 11, 11, 8, 3, 0, 0, 0, 6, 16, 20, 12, 0, 0, 8, 88, 233, 425, 621, 768, 819, 760, 609, 413, 225, 86, 10, 0, 0, 5, 11, 10, 8, 7, 6, 0, 0, 0, 21, 96, 224, 389, 553, 672, 709, 652, 518, 348, 187, 70, 7, 0, 0, 9, 15, 16, 18, 23, 28, 25, 10, 0, 0, 35, 148, 326, 540, 736, 855, 861, 752, 563, 348, 164, 42, 0, 0, 7, 30, 43, 47, 46, 44, 40, 35, 26, 14, 4, 0, 0, 9, 23, 37, 47, 50, 45, 34, 20, 8, 0, 0, 0, 7, 16, 24, 29, 30, 26, 19, 12, 5, 0, 0, 0, 0, 3, 5, 7, 9, 9, 8, 6, 3, 1, 0, 0, 0, 2, 4, 5, 5, 4, 4, 3, 3, 3, 1, 0, 0, 0, 2, 10, 15, 12, 0, 0, 0, 41, 136, 275, 429, 557, 619, 595, 493, 344, 192, 74, 7, 0, 0, 9, 17, 15, 6, 0, 0, 0, 1, 5, 8, 8, 5, 0, 0, 0, 0, 7, 16, 17, 8, 0, 0, 23, 111, 256, 438, 615, 737, 767, 691, 529, 325, 133, 3, 0, 40, 196, 397, 589, 722, 758, 691, 544, 361, 191, 66, 2, 0, 0, 20, 33, 36, 32, 26, 21, 16, 12, 7, 3, 0, 0, 5, 13, 22, 30, 34, 34, 29, 21, 11, 3, 0, 0, 1, 10, 22, 33, 42, 44, 40, 30, 18, 7, 0, 0, 0, 7, 15, 23, 28, 30, 27, 22, 14, 7, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 3, 5, 7, 7, 6, 4, 1, 0, 0, 0, 2, 6, 11, 14, 15, 14, 12, 8, 4, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 5, 13, 21, 28, 31, 28, 21, 12, 4, 0, 0, 1, 3, 5, 6, 5, 3, 1, 0, 0, 0, 1, 2, 3, 4, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 3, 1, 0, 0, 0, 1, 4, 7, 10, 11, 10, 7, 4, 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, 2, 4, 6, 6, 4, 0, 0, 0, 0, 8, 13, 11, 1, 0, 0, 38, 129, 265, 422, 560, 639, 635, 548, 406, 249, 116, 31, 0, 0, 1, 10, 11, 8, 5, 4, 2, 0, 0, 0, 25, 86, 178, 287, 384, 442, 442, 384, 286, 176, 83, 21, 0, 0, 3, 13, 16, 14, 9, 4, 2, 2, 2, 1, 0, 0, 2, 6, 12, 19, 25, 27, 25, 20, 12, 5, 0, 0, 0, 3, 7, 10, 11, 10, 8, 4, 1, 0, 0, 2, 7, 12, 17, 19, 17, 13, 7, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 3, 4, 4, 1, 0, 0, 0, 4, 13, 18, 12, 0, 0, 3, 67, 188, 353, 528, 665, 719, 671, 530, 336, 144, 10, 0, 43, 204, 412, 611, 745, 778, 704, 543, 342, 150, 16, 0, 12, 135, 304, 474, 599, 645, 602, 483, 328, 177, 64, 3, 0, 0, 17, 30, 34, 30, 25, 21, 18, 15, 11, 6, 0, 0, 1, 10, 25, 43, 57, 63, 59, 47, 29, 12, 0, 0, 0, 10, 23, 35, 43, 45, 39, 29, 16, 5, 0, 0, 2, 11, 20, 28, 31, 29, 22, 14, 6, 1, 0, 0, 0, 2, 4, 4, 4, 3, 2, 0, 0, 0, 1, 4, 5, 5, 1, 0, 0, 0, 7, 18, 22, 13, 0, 0, 10, 99, 261, 472, 686, 840, 888, 814, 641, 423, 219, 73, 0, 0, 0, 17, 25, 19, 7, 0, 0, 0, 2, 5, 6, 4, 1, 0, 0, 0, 4, 9, 13, 15, 14, 10, 5, 0, 0, 0, 4, 10, 15, 18, 18, 15, 8, 1, 0, 0, 0, 9, 19, 19, 7, 0, 0, 29, 134, 304, 514, 713, 843, 863, 767, 584, 370, 179, 51, 0, 0, 4, 22, 27, 19, 7, 0, 0, 0, 1, 3, 3, 2, 2, 5, 10, 16, 20, 22, 20, 17, 12, 8, 3, 0, 0, 0, 2, 13, 24, 26, 16, 0, 0, 11, 98, 256, 467, 687, 856, 926, 875, 718, 504, 289, 122, 23, 0, 0, 4, 19, 27, 32, 33, 27, 11, 0, 0, 24, 129, 303, 520, 729, 870, 899, 806, 622, 402, 203, 65, 0, 0, 0, 16, 28, 32, 33, 31, 24, 9, 0, 0, 28, 119, 265, 439, 600, 700, 708, 622, 469, 294, 142, 41, 0, 0, 1, 16, 26, 31, 34, 38, 41, 40, 35, 24, 13, 4, 3, 8, 19, 31, 38, 35, 21, 1, 0, 4, 67, 183, 342, 512, 650, 715, 685, 564, 384, 192, 41, 0, 11, 145, 343, 552, 715, 786, 749, 619, 437, 252, 107, 21, 0, 0, 10, 24, 30, 32, 32, 33, 33, 30, 23, 14, 4, 0, 0, 7, 17, 27, 35, 37, 34, 27, 18, 8, 1, 0, 0, 4, 14, 25, 35, 40, 39, 31, 21, 11, 4, 0, 0, 1, 6, 13, 23, 31, 30, 17, 0, 0, 7, 91, 246, 452, 666, 829, 894, 840, 683, 471, 262, 103, 12, 0, 0, 14, 26, 25, 14, 3, 0, 0, 2, 6, 7, 5, 0, 0, 0, 3, 15, 25, 26, 14, 0, 0, 13, 96, 242, 430, 620, 758, 803, 741, 592, 400, 218, 82, 8, 0, 0, 7, 19, 25, 29, 28, 20, 4, 0, 0, 46, 165, 348, 562, 754, 868, 867, 745, 537, 298, 94, 0, 0, 111, 332, 590, 817, 952, 956, 834, 625, 389, 185, 51, 0, 0, 8, 32, 46, 51, 51, 48, 45, 39, 29, 16, 4, 0, 1, 13, 30, 46, 57, 59, 52, 39, 23, 9, 0, 0, 0, 7, 20, 36, 49, 52, 40, 17, 0, 0, 32, 124, 263, 423, 562, 640, 634, 544, 400, 243, 112, 29, 0, 0, 3, 8, 6, 3, 5, 13, 20, 15, 0, 0, 1, 80, 236, 456, 693, 882, 966, 918, 753, 523, 292, 113, 11, 0, 0, 20, 39, 44, 37, 27, 19, 15, 12, 9, 5, 1, 0, 3, 10, 20, 29, 34, 33, 27, 17, 8, 0, 0, 0, 5, 14, 24, 33, 39, 41, 38, 31, 22, 12, 2, 0, 0, 0, 9, 19, 20, 8, 0, 0, 25, 127, 296, 509, 715, 857, 892, 808, 632, 416, 216, 73, 0, 0, 0, 17, 27, 24, 16, 8, 5, 6, 7, 7, 4, 1, 0, 2, 6, 12, 17, 19, 18, 14, 10, 6, 3, 0, 0, 0, 0, 4, 14, 23, 22, 9, 0, 0, 27, 124, 283, 478, 663, 784, 804, 717, 550, 352, 175, 53, 0, 0, 2, 18, 23, 18, 7, 0, 0, 0, 0, 2, 4, 6, 9, 13, 17, 19, 18, 15, 11, 6, 2, 0, 0, 0, 0, 2, 5, 9, 13, 15, 14, 11, 7, 3, 0, 0, 0, 3, 9, 15, 21, 25, 24, 21, 14, 8, 2, 0, 0, 1, 4, 6, 7, 7, 4, 2, 0, 0, 0, 3, 6, 8, 8, 7, 5, 3, 3, 4, 5, 5, 5, 3, 2, 1, 2, 3, 3, 1, 0, 0, 0, 3, 12, 18, 14, 1, 0, 0, 55, 168, 330, 509, 658, 733, 707, 585, 397, 197, 39, 0, 7, 150, 367, 602, 794, 892, 871, 740, 541, 329, 154, 42, 0, 0, 4, 16, 21, 21, 23, 27, 25, 14, 0, 0, 19, 115, 282, 501, 722, 888, 947, 883, 714, 491, 272, 106, 11, 0, 0, 21, 45, 57, 60, 56, 49, 39, 26, 14, 4, 0, 6, 18, 35, 52, 62, 65, 59, 46, 30, 15, 4, 0, 0, 7, 18, 29, 38, 41, 39, 30, 19, 8, 1, 0, 5, 14, 25, 33, 37, 35, 28, 19, 10, 3, 0, 0, 0, 2, 4, 5, 5, 5, 3, 2, 1, 0, 0, 0, 1, 3, 6, 8, 9, 8, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 11, 23, 39, 52, 61, 62, 55, 43, 28, 14, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 8, 8, 6, 4, 1, 0, 0, 2, 4, 5, 3, 0, 0, 0, 1, 11, 18, 15, 1, 0, 0, 52, 173, 355, 564, 747, 852, 845, 728, 538, 328, 151, 38, 0, 0, 5, 19, 20, 11, 0, 0, 0, 0, 7, 10, 8, 3, 0, 0, 0, 7, 17, 20, 11, 0, 0, 13, 95, 242, 439, 643, 802, 870, 825, 683, 485, 284, 124, 27, 0, 0, 7, 21, 26, 25, 23, 21, 21, 19, 14, 7, 2, 0, 4, 13, 23, 33, 38, 38, 33, 24, 13, 3, 0, 0, 0, 7, 16, 18, 8, 0, 0, 22, 116, 277, 487, 701, 865, 929, 874, 717, 503, 289, 122, 24, 0, 0, 9, 21, 22, 17, 11, 9, 11, 14, 14, 10, 5, 0, 0, 3, 9, 15, 19, 20, 17, 12, 6, 1, 0, 0, 1, 5, 11, 18, 25, 30, 33, 31, 26, 18, 10, 3, 0, 0, 3, 11, 20, 28, 32, 30, 23, 12, 1, 0, 0, 3, 12, 17, 11, 0, 0, 2, 60, 173, 329, 495, 628, 687, 654, 538, 377, 214, 88, 16, 0, 0, 5, 7, 3, 0, 0, 7, 12, 8, 0, 0, 20, 113, 281, 506, 743, 929, 1012, 966, 802, 566, 316, 111, 0, 0, 55, 216, 421, 620, 765, 820, 769, 629, 441, 252, 105, 18, 0, 0, 16, 36, 50, 55, 55, 52, 46, 37, 24, 10, 0, 0, 0, 9, 22, 30, 26, 10, 0, 0, 46, 165, 351, 575, 788, 934, 969, 883, 701, 474, 259, 99, 10, 0, 0, 18, 36, 45, 46, 43, 40, 35, 27, 17, 8, 1, 0, 3, 10, 18, 25, 28, 27, 22, 13, 4, 0, 0, 0, 6, 11, 9, 1, 0, 0, 37, 120, 246, 397, 538, 632, 653, 593, 471, 319, 176, 70, 11, 0, 0, 6, 10, 7, 1, 0, 2, 10, 19, 23, 21, 14, 6, 0, 0, 2, 7, 13, 16, 17, 14, 10, 6, 2, 0, 0, 0, 0, 5, 10, 12, 7, 0, 0, 6, 55, 146, 269, 401, 509, 561, 543, 461, 338, 209, 102, 32, 0, 0, 0, 0, 1, 4, 9, 11, 6, 0, 0, 11, 83, 220, 410, 617, 789, 876, 849, 712, 501, 272, 84, 0, 0, 119, 311, 525, 705, 805, 798, 686, 497, 280, 93, 0, 0, 125, 347, 609, 845, 991, 1011, 902, 700, 462, 245, 90, 8, 0, 0, 17, 31, 35, 35, 34, 36, 36, 32, 23, 11, 1, 0, 6, 23, 45, 66, 77, 76, 64, 43, 22, 5, 0, 0, 7, 20, 35, 47, 55, 56, 51, 40, 26, 13, 2, 0, 0, 6, 19, 33, 39, 34, 17, 0, 0, 20, 101, 234, 397, 553, 660, 687, 625, 493, 329, 176, 64, 4, 0, 0, 10, 16, 13, 5, 0, 0, 0, 1, 5, 7, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 7, 4, 0, 0, 0, 0, 8, 17, 20, 12, 0, 0, 9, 84, 224, 421, 638, 822, 923, 908, 784, 584, 364, 176, 51, 0, 0, 5, 24, 32, 30, 22, 13, 8, 6, 5, 4, 4, 5, 8, 11, 15, 19, 23, 27, 29, 25, 14, 0, 0, 5, 66, 184, 352, 540, 705, 804, 808, 715, 551, 360, 189, 67, 5, 0, 2, 18, 26, 27, 24, 22, 21, 17, 5, 0, 0, 38, 142, 309, 519, 724, 873, 922, 857, 697, 487, 281, 121, 26, 0, 0, 9, 23, 27, 25, 20, 17, 15, 13, 8, 3, 0, 2, 11, 24, 38, 49, 52, 47, 36, 22, 9, 1, 0, 0, 5, 13, 22, 29, 32, 30, 24, 16, 8, 1, 0, 0, 2, 7, 13, 18, 21, 21, 19, 15, 9, 4, 0, 0, 0, 1, 4, 6, 9, 9, 9, 6, 3, 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, 3, 7, 12, 15, 15, 13, 9, 4, 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, 1, 3, 5, 7, 7, 5, 2, 0, 0, 0, 3, 5, 6, 6, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 4, 1, 0, 0, 0, 3, 11, 14, 9, 0, 0, 11, 78, 204, 381, 578, 749, 848, 844, 733, 542, 318, 121, 1, 0, 98, 297, 541, 772, 933, 983, 909, 729, 489, 249, 70, 0, 44, 202, 430, 671, 866, 968, 952, 823, 612, 369, 153, 14, 0, 75, 263, 506, 742, 913, 975, 915, 754, 536, 317, 142, 33, 0, 0, 15, 36, 46, 45, 44, 56, 97, 174, 290, 431, 575, 690, 746, 723, 623, 470, 305, 180, 137, 198, 355, 571, 788, 949, 1010, 955, 802, 591, 374, 193, 71, 9, 0, 0, 10, 19, 26, 34, 45, 55, 61, 59, 48, 31, 14, 5, 6, 18, 35, 53, 64, 65, 56, 39, 20, 6, 0, 0, 5, 9, 13, 21, 45, 96, 182, 300, 434, 558, 642, 666, 623, 523, 389, 253, 137, 57, 13, 0, 0, 1, 8, 14, 17, 15, 7, 0, 0, 22, 94, 223, 399, 595, 771, 883, 899, 810, 636, 417, 206, 53, 0, 41, 180, 375, 577, 735, 811, 787, 670, 489, 289, 118, 17, 11, 102, 266, 466, 653, 782, 822, 768, 637, 462, 286, 142, 48, 2, 0, 0, 11, 21, 27, 30, 27, 17, 1, 0, 4, 63, 180, 355, 562, 759, 898, 943, 882, 729, 526, 319, 151, 42, 0, 0, 6, 23, 28, 22, 11, 8, 27, 78, 164, 279, 409, 528, 611, 637, 600, 507, 380, 248, 134, 53, 10, 0, 0, 5, 13, 19, 22, 24, 25, 23, 18, 11, 5, 0, 0, 2, 10, 20, 30, 37, 39, 35, 26, 15, 6, 0, 0, 1, 5, 8, 10, 10, 8, 5, 2, 0, 0, 0, 2, 6, 10, 14, 16, 15, 13, 9, 5, 1, 0, 0, 0, 2, 6, 9, 10, 8, 4, 0, 0, 0, 2, 8, 10, 5, 0, 0, 23, 94, 218, 389, 582, 756, 873, 902, 835, 685, 489, 292, 142, 72, 97, 207, 373, 549, 691, 761, 744, 645, 493, 324, 175, 68, 11, 0, 0, 8, 13, 11, 6, 2, 1, 3, 5, 5, 3, 0, 0, 2, 9, 19, 28, 34, 33, 26, 16, 6, 0, 0, 0, 1, 2, 3, 6, 17, 47, 104, 193, 313, 448, 578, 675, 718, 695, 610, 481, 336, 201, 96, 29, 0, 0, 0, 9, 13, 8, 0, 0, 0, 38, 116, 237, 389, 549, 688, 775, 791, 732, 612, 456, 297, 161, 66, 14, 0, 0, 4, 8, 8, 5, 2, 2, 4, 5, 5, 4, 1, 0, 0, 3, 9, 14, 19, 20, 18, 15, 10, 5, 1, 0, 0, 0, 1, 4, 5, 2, 0, 0, 23, 80, 182, 327, 498, 664, 789, 843, 808, 690, 517, 332, 184, 112, 137, 257, 445, 657, 844, 962, 984, 908, 752, 552, 352, 185, 71, 12, 0, 0, 7, 12, 9, 3, 0, 0, 0, 2, 4, 4, 2, 0, 0, 1, 5, 12, 19, 24, 25, 22, 16, 9, 3, 0, 0, 3, 11, 20, 30, 37, 39, 36, 28, 19, 10, 4, 2, 5, 11, 18, 24, 27, 26, 21, 15, 8, 1, 0, 0, 0, 4, 7, 6, 0, 0, 1, 33, 103, 218, 368, 531, 677, 775, 804, 757, 649, 506, 365, 261, 218, 248, 341, 475, 618, 733, 793, 783, 702, 569, 410, 255, 130, 46, 4, 0, 0, 10, 17, 18, 16, 12, 9, 6, 5, 3, 2, 0, 0, 0, 1, 5, 10, 16, 20, 22, 20, 15, 8, 2, 0, 0, 3, 10, 19, 26, 30, 29, 23, 16, 8, 2, 0, 0, 0, 4, 9, 15, 21, 24, 25, 23, 19, 13, 8, 4, 1, 0, 0, 0, 0, 1, 4, 4, 1, 0, 0, 11, 51, 122, 224, 346, 470, 576, 646, 668, 639, 566, 460, 341, 225, 128, 59, 17, 0, 0, 0, 3, 6, 6, 3, 0, 0, 3, 35, 101, 202, 332, 473, 601, 694, 733, 713, 639, 525, 393, 264, 155, 75, 26, 1, 0, 0, 19, 55, 114, 195, 293, 397, 491, 563, 599, 595, 552, 476, 380, 277, 182, 104, 49, 16, 2, 0, 0, 1, 0, 0, 0, 0, 5, 11, 16, 18, 16, 11, 7, 6, 9, 16, 24, 29, 30, 25, 17, 8, 2, 0, 0, 0, 1, 3, 5, 6, 7, 6, 5, 4, 3, 2, 0, 0, 0, 1, 13, 39, 84, 149, 231, 322, 412, 486, 533, 546, 521, 463, 381, 288, 196, 118, 59, 21, 3, 0, 0, 1, 2, 0, 0, 1, 19, 59, 127, 220, 334, 455, 566, 650, 695, 692, 643, 555, 443, 323, 212, 121, 56, 17, 0, 0, 2, 10, 18, 23, 25, 24, 19, 12, 6, 1, 0, 0, 3, 8, 13, 15, 15, 12, 8, 4, 1, 1, 1, 3, 4, 5, 5, 4, 2, 0, 0, 0, 5, 24, 59, 112, 183, 266, 351, 429, 489, 522, 526, 499, 447, 376, 296, 215, 142, 83, 40, 14, 1, 0, 0, 1, 1, 0, 0, 0, 5, 23, 55, 106, 173, 255, 341, 423, 488, 528, 537, 513, 462, 390, 308, 225, 151, 90, 46, 18, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 16, 36, 66, 108, 161, 225, 294, 366, 432, 486, 521, 530, 514, 474, 415, 344, 269, 196, 131, 78, 39, 14, 2, 0, 1, 5, 7, 7, 6, 3, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 5, 11, 17, 22, 23, 19, 12, 3, 0, 0, 9, 31, 63, 103, 147, 194, 241, 288, 334, 374, 406, 424, 425, 407, 371, 322, 266, 209, 157, 112, 75, 46, 25, 11, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 4, 4, 3, 1, 0, 0, 1, 4, 8, 12, 13, 12, 9, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 10, 14, 17, 17, 17, 16, 15, 13, 11, 9, 6, 2, 0, 0, 1, 6, 13, 22, 30, 36, 41, 45, 51, 60, 74, 93, 120, 151, 184, 215, 242, 259, 266, 264, 255, 244, 231, 219, 207, 193, 174, 150, 122, 93, 65, 43, 27, 18, 14, 13, 13, 12, 9, 6, 3, 0, 0, 0, 1, 2, 5, 8, 14, 21, 31, 41, 53, 64, 75, 87, 101, 116, 134, 152, 169, 183, 191, 194, 192, 187, 180, 173, 166, 158, 147, 134, 118, 102, 85, 71, 59, 49, 41, 34, 28, 22, 16, 12, 8, 5, 3, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 7, 13, 17, 19, 16, 11, 5, 1, 0, 1, 4, 6, 6, 4, 1, 0, 1, 7, 17, 30, 43, 54, 63, 71, 78, 85, 94, 104, 116, 128, 140, 149, 155, 157, 158, 159, 163, 170, 178, 185, 190, 192, 194],
"peakC": [9, 8, 8, 7, 5, 3, 1, 0, 0, 0, 1, 3, 5, 7, 7, 6, 4, 1, 0, 0, 1, 3, 4, 5, 3, 2, 0, 0, 0, 3, 6, 10, 14, 18, 21, 23, 23, 22, 19, 15, 10, 6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 7, 5, 2, 0, 0, 0, 2, 7, 13, 18, 22, 24, 23, 20, 15, 10, 5, 3, 2, 3, 6, 11, 15, 18, 19, 17, 14, 9, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 4, 5, 5, 4, 3, 2, 1, 1, 1, 2, 2, 2, 2, 3, 4, 6, 7, 8, 9, 9, 8, 7, 6, 7, 8, 9, 12, 16, 20, 23, 25, 25, 23, 18, 13, 9, 8, 10, 11, 8, 2, 0, 0, 25, 87, 185, 308, 433, 531, 576, 556, 476, 358, 231, 121, 44, 5, 0, 0, 6, 11, 12, 10, 8, 7, 7, 9, 10, 12, 14, 16, 18, 21, 23, 24, 22, 15, 3, 0, 0, 39, 128, 272, 456, 650, 812, 902, 896, 795, 624, 425, 241, 102, 22, 0, 0, 13, 28, 37, 38, 35, 31, 26, 21, 18, 15, 15, 17, 21, 24, 27, 27, 25, 21, 16, 12, 8, 6, 7, 11, 17, 24, 30, 32, 30, 23, 15, 12, 19, 41, 76, 119, 160, 188, 197, 183, 152, 110, 67, 31, 8, 0, 0, 6, 17, 26, 30, 30, 25, 18, 10, 4, 0, 0, 0, 0, 0, 0, 0, 2, 4, 8, 12, 18, 25, 35, 48, 62, 74, 80, 78, 67, 50, 31, 15, 4, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 4, 4, 1, 0, 0, 11, 44, 96, 163, 230, 283, 307, 296, 254, 192, 124, 65, 24, 2, 0, 0, 6, 11, 13, 12, 9, 6, 3, 2, 2, 2, 3, 2, 0, 0, 0, 0, 3, 6, 5, 0, 0, 0, 29, 94, 198, 330, 465, 573, 625, 607, 522, 393, 252, 129, 43, 0, 0, 1, 16, 26, 29, 26, 21, 15, 10, 5, 2, 0, 0, 2, 6, 11, 15, 17, 17, 13, 9, 4, 1, 0, 0, 0, 1, 4, 7, 11, 14, 14, 12, 8, 4, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 3, 6, 5, 0, 0, 0, 22, 70, 146, 237, 325, 388, 407, 377, 306, 215, 125, 56, 14, 0, 0, 0, 1, 1, 0, 1, 3, 2, 0, 0, 4, 39, 111, 220, 351, 478, 571, 605, 570, 477, 348, 216, 106, 33, 0, 0, 1, 12, 17, 17, 14, 10, 7, 5, 4, 2, 1, 0, 1, 4, 8, 14, 19, 22, 21, 18, 13, 7, 3, 0, 0, 0, 0, 2, 4, 3, 0, 0, 0, 11, 39, 85, 144, 204, 252, 275, 267, 231, 176, 115, 62, 24, 4, 0, 0, 2, 4, 5, 5, 5, 6, 7, 7, 6, 3, 0, 0, 0, 2, 5, 8, 8, 3, 0, 0, 16, 61, 135, 231, 331, 412, 451, 438, 377, 283, 180, 92, 31, 1, 0, 0, 6, 9, 9, 7, 7, 7, 8, 8, 6, 3, 1, 0, 1, 4, 7, 9, 9, 7, 5, 2, 0, 0, 0, 1, 3, 4, 4, 4, 3, 2, 2, 3, 3, 3, 1, 0, 0, 0, 2, 8, 11, 7, 0, 0, 13, 78, 200, 373, 571, 753, 872, 899, 824, 668, 472, 281, 132, 39, 0, 0, 0, 5, 7, 6, 5, 2, 0, 0, 0, 33, 111, 236, 398, 566, 702, 770, 750, 649, 492, 320, 169, 62, 6, 0, 0, 11, 20, 23, 23, 22, 21, 20, 18, 13, 7, 2, 1, 5, 13, 23, 30, 30, 22, 8, 0, 7, 52, 145, 285, 455, 625, 754, 811, 778, 662, 494, 313, 157, 51, 0, 0, 1, 22, 39, 50, 50, 41, 24, 3, 0, 6, 62, 165, 308, 466, 605, 690, 699, 631, 503, 350, 205, 94, 27, 0, 0, 0, 7, 13, 17, 18, 14, 4, 0, 0, 36, 127, 277, 472, 675, 839, 921, 895, 768, 575, 363, 181, 57, 0, 0, 3, 28, 47, 57, 61, 60, 56, 49, 40, 31, 24, 20, 21, 26, 31, 35, 36, 35, 31, 25, 20, 15, 12, 13, 17, 26, 36, 46, 53, 53, 47, 35, 21, 9, 0, 0, 2, 11, 21, 33, 42, 47, 47, 43, 35, 25, 16, 9, 5, 5, 7, 9, 11, 11, 10, 8, 6, 3, 0, 0, 0, 0, 2, 7, 9, 5, 0, 0, 11, 65, 164, 306, 469, 618, 717, 738, 675, 544, 379, 219, 96, 22, 0, 0, 5, 14, 16, 12, 8, 5, 5, 6, 6, 4, 2, 0, 1, 5, 10, 15, 18, 17, 14, 9, 4, 0, 0, 0, 1, 3, 5, 6, 6, 6, 4, 3, 1, 0, 0, 0, 1, 4, 8, 11, 13, 13, 10, 6, 3, 0, 0, 0, 0, 1, 3, 6, 8, 10, 11, 9, 7, 5, 2, 1, 0, 0, 0, 0, 0, 1, 2, 3, 1, 0, 0, 6, 30, 73, 131, 197, 255, 290, 293, 263, 207, 140, 78, 32, 6, 0, 0, 2, 4, 4, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 3, 6, 8, 9, 9, 7, 5, 3, 1, 0, 0, 0, 1, 2, 3, 4, 4, 2, 0, 0, 0, 0, 5, 8, 6, 0, 0, 3, 39, 111, 219, 347, 470, 557, 586, 547, 446, 306, 160, 43, 0, 8, 114, 286, 488, 672, 792, 818, 744, 593, 406, 229, 96, 20, 0, 0, 8, 17, 21, 21, 21, 18, 10, 0, 0, 10, 80, 215, 409, 633, 837, 969, 992, 900, 716, 491, 276, 113, 18, 0, 0, 23, 49, 66, 72, 69, 59, 45, 28, 13, 2, 1, 8, 23, 42, 59, 69, 70, 62, 46, 28, 11, 0, 0, 3, 15, 32, 48, 59, 62, 58, 47, 33, 20, 12, 9, 13, 20, 29, 37, 41, 42, 37, 29, 20, 11, 4, 0, 1, 5, 12, 19, 24, 26, 24, 19, 13, 6, 2, 0, 0, 0, 3, 7, 11, 14, 16, 17, 16, 13, 10, 6, 3, 1, 1, 3, 5, 7, 7, 6, 4, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 3, 6, 10, 12, 12, 10, 6, 3, 0, 0, 0, 0, 0, 0, 1, 2, 4, 4, 4, 2, 1, 2, 6, 12, 21, 28, 34, 36, 34, 30, 24, 18, 12, 8, 6, 4, 3, 2, 2, 2, 2, 3, 5, 7, 10, 14, 17, 20, 21, 20, 17, 10, 3, 0, 0, 0, 8, 13, 11, 0, 0, 0, 52, 160, 321, 509, 683, 796, 816, 737, 582, 393, 216, 84, 12, 0, 0, 13, 25, 27, 23, 18, 16, 16, 17, 17, 16, 14, 12, 12, 14, 18, 22, 25, 26, 23, 18, 11, 4, 0, 0, 1, 5, 9, 12, 13, 11, 8, 4, 0, 0, 0, 2, 6, 11, 17, 23, 27, 30, 30, 28, 23, 19, 15, 13, 13, 13, 14, 15, 14, 13, 13, 13, 14, 15, 16, 14, 11, 7, 3, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 3, 5, 7, 9, 10, 10, 9, 6, 3, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 6, 9, 12, 13, 13, 12, 10, 8, 7, 5, 3, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 4, 8, 10, 9, 5, 0, 0, 0, 4, 10, 10, 3, 0, 0, 29, 107, 233, 387, 538, 647, 683, 634, 514, 353, 190, 61, 0, 0, 54, 165, 296, 415, 494, 512, 466, 371, 253, 141, 57, 9, 0, 0, 9, 19, 24, 25, 22, 18, 13, 7, 2, 0, 2, 10, 24, 41, 56, 66, 68, 61, 47, 30, 14, 3, 0, 2, 11, 23, 35, 44, 49, 50, 47, 41, 35, 29, 26, 26, 28, 32, 36, 38, 37, 34, 27, 18, 10, 4, 0, 0, 0, 2, 6, 10, 13, 14, 13, 10, 6, 2, 0, 1, 4, 8, 11, 12, 11, 8, 4, 1, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 7, 8, 9, 9, 8, 8, 7, 7, 6, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 2, 4, 6, 7, 7, 6, 4, 2, 0, 0, 0, 0, 2, 4, 6, 6, 6, 4, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 4, 5, 3, 0, 0, 0, 0, 5, 8, 6, 0, 0, 1, 36, 110, 218, 344, 460, 535, 549, 498, 396, 270, 151, 62, 10, 0, 0, 11, 25, 33, 36, 36, 34, 29, 24, 17, 10, 4, 0, 0, 0, 2, 5, 7, 8, 7, 6, 3, 1, 0, 0, 3, 9, 18, 25, 30, 30, 26, 19, 11, 4, 0, 0, 0, 5, 14, 23, 31, 35, 34, 27, 19, 10, 3, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 5, 11, 17, 22, 22, 19, 12, 6, 1, 0, 0, 3, 5, 5, 2, 0, 0, 0, 4, 13, 17, 10, 0, 0, 10, 85, 225, 415, 619, 786, 867, 839, 709, 517, 314, 146, 38, 0, 0, 5, 18, 22, 16, 8, 2, 0, 1, 2, 3, 3, 6, 10, 16, 22, 26, 27, 26, 23, 20, 17, 15, 12, 10, 9, 10, 13, 18, 22, 25, 26, 22, 17, 10, 4, 0, 0, 0, 2, 7, 12, 16, 18, 17, 13, 9, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 5, 8, 10, 9, 4, 0, 0, 0, 6, 12, 12, 3, 0, 0, 42, 143, 301, 496, 683, 816, 854, 785, 626, 417, 210, 54, 0, 0, 101, 261, 439, 590, 677, 676, 585, 429, 248, 89, 0, 0, 89, 251, 440, 606, 702, 703, 607, 441, 249, 84, 0, 0, 104, 280, 480, 649, 743, 741, 645, 485, 301, 135, 19, 0, 5, 106, 255, 421, 564, 648, 651, 571, 434, 275, 135, 38, 0, 0, 15, 45, 71, 85, 87, 79, 63, 43, 24, 9, 2, 6, 20, 43, 66, 82, 83, 65, 32, 0, 0, 34, 144, 319, 535, 746, 899, 952, 888, 722, 496, 265, 84, 0, 0, 87, 235, 395, 522, 585, 569, 484, 355, 218, 103, 29, 0, 0, 9, 25, 38, 44, 42, 31, 14, 0, 0, 18, 89, 211, 371, 537, 670, 734, 707, 592, 418, 227, 68, 0, 0, 116, 312, 542, 749, 878, 898, 806, 630, 420, 227, 86, 9, 0, 0, 17, 37, 51, 57, 56, 46, 27, 6, 0, 12, 69, 167, 292, 416, 509, 545, 516, 426, 296, 157, 41, 0, 0, 103, 295, 539, 782, 962, 1031, 969, 795, 559, 321, 134, 23, 0, 0, 25, 53, 66, 65, 54, 39, 26, 15, 6, 1, 0, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 3, 11, 24, 39, 51, 57, 55, 44, 29, 15, 5, 3, 9, 19, 30, 38, 41, 39, 32, 24, 15, 8, 2, 0, 0, 2, 7, 14, 21, 26, 27, 24, 19, 13, 8, 4, 0, 0, 0, 0, 7, 18, 24, 17, 0, 0, 0, 72, 217, 426, 659, 860, 971, 957, 821, 600, 353, 142, 8, 0, 21, 129, 258, 368, 432, 433, 377, 282, 176, 85, 24, 0, 0, 4, 13, 17, 16, 13, 10, 9, 10, 10, 10, 6, 0, 0, 0, 0, 12, 25, 30, 17, 0, 0, 17, 132, 338, 615, 904, 1133, 1234, 1176, 976, 689, 391, 149, 5, 0, 16, 119, 237, 335, 391, 393, 345, 262, 168, 84, 26, 0, 0, 5, 21, 35, 45, 50, 48, 42, 32, 20, 8, 0, 0, 0, 9, 23, 38, 51, 58, 57, 48, 34, 18, 4, 0, 0, 0, 9, 17, 17, 8, 0, 0, 24, 107, 246, 423, 600, 729, 773, 717, 579, 398, 222, 89, 14, 0, 0, 6, 12, 12, 10, 10, 10, 6, 0, 0, 1, 50, 150, 293, 452, 586, 656, 640, 543, 395, 238, 109, 27, 0, 0, 3, 16, 23, 27, 30, 33, 36, 34, 27, 17, 6, 0, 0, 5, 15, 24, 29, 30, 25, 17, 9, 2, 0, 0, 1, 7, 15, 25, 33, 39, 39, 35, 26, 16, 6, 0, 0, 0, 3, 12, 18, 18, 9, 0, 0, 19, 87, 203, 349, 495, 604, 643, 599, 485, 329, 170, 44, 0, 0, 76, 218, 384, 535, 630, 644, 575, 443, 287, 146, 47, 0, 0, 1, 14, 20, 17, 10, 4, 1, 2, 3, 3, 2, 0, 0, 3, 8, 16, 22, 27, 27, 23, 17, 10, 3, 0, 0, 0, 8, 18, 30, 36, 32, 17, 0, 0, 9, 77, 194, 344, 493, 600, 634, 584, 467, 317, 173, 66, 7, 0, 0, 11, 23, 27, 27, 26, 25, 23, 21, 17, 11, 5, 0, 0, 0, 2, 11, 19, 21, 14, 1, 0, 8, 66, 177, 333, 505, 652, 733, 720, 610, 431, 229, 62, 0, 17, 166, 393, 640, 840, 937, 908, 761, 537, 295, 93, 0, 0, 108, 327, 594, 846, 1018, 1064, 975, 778, 530, 292, 114, 14, 0, 0, 22, 45, 59, 63, 63, 59, 51, 38, 23, 9, 0, 0, 9, 27, 48, 63, 66, 51, 23, 0, 0, 37, 146, 316, 517, 705, 829, 852, 765, 590, 372, 168, 26, 0, 27, 156, 328, 495, 614, 652, 599, 466, 289, 115, 0, 0, 79, 292, 577, 867, 1086, 1175, 1111, 916, 648, 377, 162, 33, 0, 0, 18, 46, 64, 71, 68, 56, 34, 9, 0, 2, 58, 166, 312, 467, 590, 647, 621, 521, 377, 228, 105, 27, 0, 0, 4, 23, 42, 55, 59, 52, 32, 8, 0, 14, 82, 200, 351, 501, 610, 646, 598, 476, 309, 141, 13, 0, 12, 162, 387, 637, 851, 969, 959, 827, 612, 376, 176, 45, 0, 0, 11, 38, 55, 59, 56, 49, 41, 31, 20, 9, 1, 0, 4, 15, 29, 45, 56, 60, 55, 43, 26, 11, 0, 0, 3, 16, 32, 47, 55, 56, 47, 32, 16, 3, 0, 0, 11, 29, 49, 64, 71, 66, 52, 33, 14, 1, 0, 0, 8, 18, 26, 29, 27, 21, 13, 6, 0, 0, 0, 2, 5, 7, 7, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 5, 5, 4, 2, 1, 0, 1, 2, 4, 6, 8, 11, 16, 22, 28, 27, 18, 1, 0, 0, 53, 158, 310, 480, 627, 709, 700, 600, 433, 244, 82, 0, 0, 80, 236, 415, 569, 657, 656, 569, 422, 254, 107, 8, 0, 7, 92, 210, 332, 429, 477, 463, 392, 285, 172, 78, 20, 0, 0, 8, 20, 28, 34, 39, 42, 36, 19, 0, 0, 15, 111, 282, 508, 742, 921, 994, 938, 770, 538, 306, 124, 17, 0, 0, 25, 52, 64, 62, 52, 39, 26, 14, 6, 1, 2, 7, 17, 29, 39, 47, 48, 44, 34, 22, 11, 4, 2, 7, 16, 28, 39, 46, 50, 48, 41, 31, 19, 9, 1, 0, 1, 9, 20, 31, 38, 40, 35, 26, 15, 4, 0, 0, 0, 5, 15, 19, 14, 0, 0, 0, 60, 182, 355, 546, 706, 787, 765, 646, 466, 277, 123, 27, 0, 0, 6, 17, 17, 9, 0, 0, 0, 0, 5, 7, 7, 5, 2, 0, 0, 0, 1, 7, 12, 10, 2, 0, 0, 23, 90, 194, 318, 431, 502, 509, 451, 345, 221, 111, 34, 0, 0, 3, 19, 30, 33, 30, 23, 16, 9, 4, 1, 0, 1, 5, 10, 15, 19, 20, 18, 15, 11, 7, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 2, 1, 0, 0, 0, 4, 9, 15, 20, 23, 23, 20, 15, 10, 6, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 6, 5, 0, 0, 0, 0, 9, 21, 25, 13, 0, 0, 20, 137, 340, 604, 869, 1063, 1125, 1036, 824, 552, 294, 104, 4, 0, 0, 23, 37, 36, 24, 13, 7, 6, 7, 7, 5, 2, 1, 3, 8, 14, 19, 22, 20, 15, 9, 3, 0, 0, 2, 9, 19, 28, 34, 36, 32, 24, 15, 8, 4, 6, 12, 20, 30, 37, 41, 41, 36, 29, 20, 12, 6, 0, 0, 0, 0, 7, 16, 21, 17, 5, 0, 0, 32, 120, 253, 406, 541, 619, 615, 530, 391, 238, 109, 26, 0, 0, 5, 17, 19, 13, 5, 0, 0, 2, 5, 6, 4, 0, 0, 0, 0, 7, 11, 10, 1, 0, 0, 33, 108, 219, 345, 457, 524, 528, 466, 354, 216, 83, 0, 0, 42, 219, 480, 774, 1027, 1168, 1156, 995, 733, 446, 205, 50, 0, 0, 11, 37, 49, 47, 38, 30, 24, 19, 12, 6, 3, 5, 13, 26, 39, 47, 48, 42, 32, 20, 10, 4, 1, 1, 2, 6, 12, 22, 34, 42, 40, 23, 0, 0, 4, 83, 227, 417, 611, 756, 808, 750, 600, 401, 204, 56, 0, 0, 58, 177, 312, 432, 506, 516, 460, 355, 231, 118, 38, 0, 0, 2, 18, 29, 34, 34, 31, 26, 21, 17, 15, 16, 21, 28, 37, 43, 45, 43, 36, 27, 17, 9, 2, 0, 0, 2, 8, 16, 23, 28, 29, 25, 18, 9, 2, 0, 1, 7, 15, 23, 27, 28, 24, 18, 11, 5, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 3, 3, 3, 1, 0, 0, 0, 2, 5, 7, 6, 2, 0, 0, 0, 8, 22, 28, 17, 0, 0, 15, 131, 345, 631, 932, 1165, 1262, 1192, 972, 666, 354, 112, 0, 0, 78, 230, 386, 498, 540, 504, 406, 277, 153, 59, 7, 0, 0, 12, 20, 22, 18, 13, 11, 10, 9, 7, 3, 0, 0, 1, 10, 21, 30, 32, 25, 10, 0, 2, 38, 112, 217, 334, 436, 493, 490, 427, 322, 204, 101, 31, 0, 0, 0, 11, 18, 21, 22, 22, 21, 19, 15, 10, 4, 0, 0, 0, 2, 6, 10, 14, 17, 18, 17, 14, 10, 4, 0, 0, 0, 0, 10, 19, 20, 8, 0, 0, 28, 134, 309, 528, 737, 878, 908, 818, 635, 415, 214, 74, 3, 0, 0, 6, 9, 7, 4, 5, 4, 0, 0, 0, 38, 141, 308, 513, 712, 848, 881, 799, 624, 403, 193, 41, 0, 0, 96, 238, 387, 502, 554, 532, 444, 317, 185, 78, 13, 0, 0, 16, 35, 46, 48, 43, 34, 24, 15, 8, 3, 0, 0, 0, 6, 14, 25, 34, 39, 39, 32, 20, 7, 0, 0, 0, 8, 18, 20, 9, 0, 0, 28, 133, 310, 536, 764, 932, 991, 923, 747, 515, 289, 116, 17, 0, 0, 12, 23, 22, 13, 5, 2, 4, 8, 9, 7, 4, 1, 1, 3, 7, 10, 11, 10, 7, 5, 4, 4, 3, 1, 0, 0, 0, 4, 15, 20, 14, 0, 0, 1, 74, 217, 416, 631, 803, 880, 839, 692, 484, 275, 112, 18, 0, 0, 8, 16, 13, 7, 3, 4, 4, 0, 0, 0, 26, 98, 210, 340, 455, 520, 512, 435, 313, 182, 77, 13, 0, 0, 10, 20, 22, 19, 19, 22, 26, 26, 16, 1, 0, 9, 69, 178, 324, 475, 592, 640, 603, 486, 318, 142, 8, 0, 26, 210, 481, 777, 1021, 1144, 1111, 934, 669, 390, 165, 29, 0, 0, 21, 49, 62, 62, 55, 47, 40, 32, 22, 12, 4, 0, 1, 7, 14, 20, 24, 24, 21, 15, 8, 2, 0, 0, 5, 17, 31, 46, 56, 59, 53, 39, 21, 5, 0, 0, 2, 13, 18, 12, 0, 0, 7, 76, 206, 385, 577, 734, 809, 781, 657, 474, 282, 126, 30, 0, 0, 5, 15, 15, 8, 2, 1, 7, 15, 19, 17, 9, 0, 0, 0, 5, 17, 21, 13, 0, 0, 12, 101, 262, 477, 700, 872, 944, 893, 734, 512, 280, 92, 0, 0, 52, 213, 419, 621, 768, 819, 758, 605, 406, 215, 75, 1, 0, 0, 20, 32, 33, 26, 19, 14, 12, 10, 7, 3, 0, 2, 7, 15, 23, 29, 30, 26, 20, 12, 5, 0, 0, 0, 2, 11, 23, 36, 44, 46, 39, 27, 13, 1, 0, 1, 10, 22, 32, 36, 34, 27, 18, 10, 4, 1, 0, 0, 0, 0, 4, 10, 14, 10, 0, 0, 0, 44, 132, 256, 390, 498, 548, 524, 434, 305, 174, 72, 12, 0, 0, 6, 13, 11, 5, 0, 0, 0, 0, 2, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 0, 0, 0, 0, 5, 12, 14, 8, 0, 0, 9, 71, 181, 326, 474, 585, 627, 586, 476, 330, 188, 79, 15, 0, 0, 2, 8, 10, 9, 9, 7, 2, 0, 0, 14, 71, 169, 297, 426, 522, 556, 517, 417, 286, 158, 61, 7, 0, 0, 9, 18, 19, 14, 9, 5, 4, 4, 4, 2, 1, 0, 2, 7, 14, 23, 32, 38, 41, 39, 34, 24, 13, 2, 0, 0, 0, 12, 21, 19, 4, 0, 0, 46, 173, 368, 596, 802, 923, 923, 801, 596, 366, 170, 43, 0, 0, 6, 25, 30, 25, 16, 10, 7, 8, 8, 7, 4, 3, 3, 7, 11, 16, 19, 20, 17, 13, 8, 3, 0, 0, 2, 7, 12, 15, 17, 15, 12, 7, 2, 0, 0, 1, 7, 15, 25, 33, 39, 40, 35, 26, 15, 6, 0, 0, 6, 18, 32, 44, 46, 36, 14, 0, 0, 30, 128, 278, 455, 614, 713, 723, 643, 495, 318, 154, 32, 0, 0, 79, 237, 441, 650, 813, 887, 849, 709, 508, 301, 134, 32, 0, 0, 9, 23, 31, 36, 42, 46, 39, 17, 0, 0, 39, 190, 439, 748, 1045, 1245, 1287, 1158, 898, 583, 296, 94, 0, 0, 3, 38, 60, 66, 59, 49, 38, 28, 18, 9, 3, 4, 12, 27, 45, 60, 69, 68, 58, 43, 26, 13, 7, 10, 20, 34, 47, 55, 56, 51, 41, 30, 20, 14, 12, 12, 14, 17, 20, 23, 25, 25, 23, 18, 11, 4, 0, 0, 2, 9, 17, 22, 24, 22, 19, 15, 13, 14, 16, 17, 17, 14, 10, 5, 1, 0, 0, 0, 2, 5, 7, 9, 9, 7, 5, 2, 2, 6, 11, 16, 18, 14, 6, 0, 0, 5, 18, 25, 20, 1, 0, 0, 76, 240, 479, 750, 982, 1110, 1094, 939, 692, 423, 196, 51, 0, 0, 7, 25, 28, 18, 6, 0, 1, 9, 16, 20, 20, 16, 12, 10, 11, 14, 19, 23, 25, 23, 18, 10, 2, 0, 0, 9, 21, 31, 32, 22, 4, 0, 4, 56, 154, 287, 429, 544, 599, 579, 488, 354, 213, 97, 23, 0, 0, 6, 19, 27, 29, 30, 31, 32, 31, 26, 18, 10, 4, 3, 7, 14, 22, 26, 26, 22, 16, 9, 3, 0, 0, 0, 4, 12, 20, 26, 28, 23, 13, 2, 0, 0, 11, 25, 29, 17, 0, 0, 20, 136, 343, 616, 898, 1115, 1203, 1133, 927, 645, 365, 148, 23, 0, 0, 15, 29, 25, 12, 0, 0, 0, 0, 5, 6, 4, 2, 3, 7, 14, 20, 25, 26, 23, 18, 11, 5, 0, 0, 0, 3, 11, 21, 31, 38, 40, 36, 26, 14, 4, 0, 0, 7, 16, 25, 31, 32, 30, 25, 18, 11, 6, 2, 1, 3, 7, 13, 20, 25, 27, 27, 24, 20, 15, 11, 8, 5, 3, 2, 3, 5, 8, 11, 12, 11, 8, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 6, 4, 2, 0, 2, 8, 14, 15, 8, 0, 0, 12, 80, 200, 360, 525, 653, 708, 673, 558, 397, 233, 102, 22, 0, 0, 9, 22, 26, 23, 17, 11, 8, 7, 5, 4, 2, 1, 2, 4, 7, 11, 13, 13, 11, 8, 3, 0, 0, 0, 4, 10, 17, 23, 26, 25, 21, 14, 7, 3, 3, 7, 14, 22, 27, 29, 26, 20, 12, 6, 1, 0, 0, 0, 0, 2, 5, 8, 12, 14, 14, 13, 10, 6, 3, 1, 0, 0, 0, 1, 3, 5, 7, 9, 9, 7, 4, 2, 0, 0, 0, 1, 3, 3, 2, 0, 0, 0, 0, 5, 10, 11, 4, 0, 0, 20, 87, 197, 334, 468, 563, 592, 546, 439, 301, 168, 68, 11, 0, 0, 6, 11, 10, 4, 0, 0, 0, 0, 2, 2, 2, 1, 2, 6, 11, 17, 23, 28, 32, 33, 31, 25, 16, 5, 0, 0, 4, 16, 23, 18, 0, 0, 0, 74, 231, 462, 727, 963, 1104, 1108, 975, 744, 479, 244, 81, 0, 0, 0, 22, 37, 42, 41, 40, 38, 35, 27, 17, 7, 2, 5, 14, 26, 36, 41, 39, 32, 22, 12, 5, 2, 3, 9, 17, 26, 35, 41, 43, 40, 32, 20, 9, 1, 0, 6, 18, 34, 47, 55, 54, 45, 31, 17, 6, 0, 0, 0, 2, 3, 4, 3, 2, 1, 0, 0, 0, 0, 2, 6, 12, 17, 22, 26, 27, 26, 23, 20, 16, 13, 10, 7, 4, 2, 0, 0, 0, 1, 4, 7, 10, 12, 14, 14, 12, 9, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 4, 8, 10, 10, 6, 0, 0, 0, 2, 13, 19, 13, 0, 0, 6, 84, 237, 456, 700, 912, 1032, 1025, 891, 671, 424, 210, 64, 0, 0, 3, 23, 32, 28, 18, 9, 5, 5, 6, 6, 3, 1, 1, 3, 9, 16, 22, 25, 23, 18, 11, 4, 0, 0, 2, 8, 17, 26, 32, 35, 33, 26, 18, 9, 2, 0, 0, 5, 11, 17, 20, 20, 16, 11, 5, 2, 0, 0, 0, 0, 1, 4, 8, 14, 19, 22, 22, 20, 15, 10, 6, 3, 1, 1, 2, 4, 6, 5, 3, 0, 0, 0, 0, 9, 16, 13, 0, 0, 0, 60, 190, 388, 626, 849, 999, 1033, 940, 747, 508, 283, 113, 17, 0, 0, 5, 20, 27, 22, 8, 0, 0, 4, 83, 232, 445, 686, 903, 1036, 1050, 939, 733, 483, 247, 72, 0, 0, 76, 220, 385, 531, 622, 636, 570, 444, 294, 155, 55, 3, 0, 0, 16, 31, 41, 47, 53, 57, 57, 52, 41, 26, 11, 2, 1, 9, 24, 40, 48, 43, 23, 0, 0, 18, 115, 285, 510, 745, 933, 1023, 989, 841, 621, 385, 186, 55, 0, 0, 6, 29, 42, 44, 39, 31, 23, 15, 8, 3, 2, 4, 11, 20, 27, 32, 31, 27, 19, 11, 5, 0, 0, 0, 2, 10, 21, 32, 41, 44, 41, 33, 21, 10, 2, 0, 0, 1, 9, 18, 24, 23, 12, 0, 0, 18, 95, 231, 411, 603, 760, 838, 816, 698, 519, 326, 163, 54, 1, 0, 0, 1, 5, 8, 11, 11, 5, 0, 0, 15, 109, 282, 524, 790, 1015, 1137, 1120, 969, 727, 461, 232, 77, 1, 0, 0, 11, 20, 22, 20, 16, 6, 0, 0, 22, 112, 277, 509, 768, 996, 1133, 1136, 1001, 758, 465, 195, 12, 0, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 60, 293, 614, 953, 1230, 1376, 1355, 1178, 895, 578, 299, 104, 3, 0, 1, 36, 65, 81, 84, 79, 69, 54, 37, 21, 10, 6, 10, 21, 37, 54, 70, 77, 68, 41, 4, 0, 2, 107, 312, 604, 931, 1218, 1388, 1394, 1233, 953, 627, 332, 120, 8, 0, 0, 35, 63, 77, 78, 71, 60, 46, 30, 15, 4, 1, 6, 19, 34, 47, 54, 52, 42, 28, 15, 4, 0, 0, 2, 11, 23, 37, 50, 59, 63, 61, 52, 39, 25, 14, 8, 10, 19, 33, 48, 60, 65, 62, 51, 35, 18, 5, 0, 0, 3, 10, 15, 17, 16, 12, 7, 3, 0, 0, 0, 1, 3, 8, 14, 20, 25, 28, 27, 23, 16, 9, 3, 0, 0, 0, 5, 12, 17, 21, 21, 18, 12, 6, 1, 0, 0, 2, 6, 12, 16, 20, 21, 20, 17, 12, 7, 2, 0, 0, 0, 3, 5, 6, 5, 1, 0, 0, 0, 6, 11, 11, 2, 0, 0, 30, 111, 237, 392, 540, 644, 673, 620, 499, 346, 198, 85, 19, 0, 0, 4, 11, 10, 4, 0, 0, 0, 0, 4, 8, 12, 16, 19, 21, 21, 20, 18, 15, 13, 12, 11, 11, 12, 13, 14, 15, 17, 19, 21, 22, 21, 18, 14, 9, 5, 5, 9, 15, 23, 30, 32, 31, 25, 17, 10, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 10, 16, 20, 23, 23, 21, 17, 13, 10, 7, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 7, 11, 15, 17, 17, 14, 10, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 1, 0, 0, 0, 1, 6, 8, 4, 0, 0, 17, 78, 191, 353, 542, 723, 855, 903, 856, 723, 537, 341, 175, 62, 5, 0, 0, 10, 16, 14, 9, 5, 4, 6, 7, 7, 4, 1, 0, 0, 2, 6, 10, 13, 12, 8, 3, 0, 0, 0, 4, 9, 8, 1, 0, 1, 43, 137, 289, 485, 692, 868, 971, 973, 875, 700, 490, 290, 135, 39, 0, 0, 2, 10, 10, 5, 0, 0, 0, 1, 3, 3, 2, 1, 3, 9, 18, 29, 36, 38, 35, 26, 16, 7, 0, 0, 0, 3, 10, 17, 23, 26, 24, 18, 10, 3, 0, 5, 16, 30, 42, 48, 46, 37, 24, 12, 3, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 6, 16, 30, 45, 57, 62, 60, 51, 38, 25, 14, 6, 1, 0, 0, 0, 0, 5, 9, 7, 0, 0, 0, 37, 118, 245, 404, 565, 694, 758, 742, 651, 508, 347, 200, 90, 24, 0, 0, 2, 10, 14, 16, 16, 16, 15, 13, 10, 5, 2, 1, 2, 5, 9, 13, 16, 17, 18, 18, 17, 14, 12, 11, 11, 12, 15, 17, 17, 16, 13, 10, 9, 9, 10, 7, 1, 0, 2, 33, 104, 222, 381, 560, 727, 848, 893, 852, 734, 566, 382, 218, 97, 25, 0, 0, 5, 16, 21, 22, 20, 17, 14, 12, 9, 6, 2, 0, 0, 0, 2, 6, 8, 7, 5, 3, 10, 32, 76, 140, 220, 303, 373, 414, 419, 384, 318, 235, 150, 78, 28, 2, 0, 4, 16, 26, 30, 28, 22, 14, 6, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 5, 7, 8, 9, 9, 11, 15, 21, 28, 32, 33, 29, 21, 11, 3, 0, 0, 0, 3, 3, 0, 0, 5, 31, 86, 174, 291, 422, 545, 636, 676, 654, 575, 455, 320, 194, 96, 33, 2, 0, 0, 1, 6, 8, 5, 0, 0, 0, 40, 133, 293, 517, 780, 1043, 1256, 1374, 1370, 1243, 1021, 748, 478, 254, 101, 18, 0, 0, 9, 19, 21, 18, 13, 10, 7, 6, 4, 4, 5, 9, 14, 21, 27, 33, 39, 44, 46, 46, 42, 35, 27, 20, 18, 21, 27, 35, 37, 33, 23, 14, 18, 49, 115, 219, 352, 495, 624, 713, 745, 713, 624, 496, 355, 223, 118, 48, 10, 0, 0, 3, 8, 12, 14, 15, 15, 13, 10, 5, 2, 0, 1, 2, 4, 5, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 2, 7, 14, 22, 30, 35, 35, 31, 24, 15, 7, 2, 0, 0, 0, 1, 2, 3, 3, 3, 4, 5, 7, 10, 12, 14, 16, 17, 17, 18, 18, 20, 23, 25, 26, 26, 22, 17, 11, 5, 1, 0, 0, 0, 0, 0, 0, 2, 5, 7, 9, 9, 7, 4, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 4, 9, 14, 16, 15, 11, 6, 1, 0, 1, 3, 3, 0, 0, 0, 20, 67, 145, 249, 366, 478, 566, 617, 622, 583, 508, 409, 302, 201, 117, 55, 18, 0, 0, 0, 3, 5, 5, 5, 10, 28, 65, 129, 221, 336, 461, 580, 675, 729, 733, 687, 598, 480, 352, 232, 132, 61, 18, 0, 0, 2, 9, 14, 18, 20, 20, 17, 13, 8, 4, 1, 1, 6, 14, 23, 30, 33, 31, 25, 17, 9, 6, 7, 14, 22, 30, 36, 39, 39, 38, 35, 33, 29, 25, 19, 13, 9, 8, 11, 17, 22, 25, 25, 19, 11, 3, 0, 2, 16, 41, 79, 128, 185, 243, 298, 341, 367, 372, 356, 320, 269, 209, 148, 92, 49, 19, 3, 0, 0, 1, 3, 3, 2, 1, 0, 0, 0, 0, 1, 2, 4, 5, 5, 5, 4, 4, 5, 8, 11, 15, 16, 15, 12, 7, 3, 0, 0, 0, 2, 4, 5, 5, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 8, 13, 16, 18, 17, 13, 9, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 8, 13, 17, 19, 18, 15, 12, 10, 10, 11, 12, 12, 9, 6, 3, 1, 1, 2, 1, 0, 0, 0, 10, 40, 94, 174, 278, 400, 530, 658, 770, 855, 903, 906, 863, 778, 661, 528, 394, 274, 176, 104, 57, 31, 19, 16, 17, 18, 18, 16, 13, 11, 9, 10, 12, 17, 21, 25, 28, 28, 27, 24, 21, 18, 16, 13, 11, 10, 10, 12, 16, 22, 28, 34, 38, 39, 38, 36, 34, 33, 32, 31, 30, 29, 26, 24, 22, 22, 23, 25, 27, 28, 29, 27, 25, 22, 20, 19, 19, 20, 21, 21, 19, 16, 13, 11, 12, 14, 17, 19, 18, 14, 9, 4, 1, 1, 3, 7, 10, 11, 12, 12, 12, 15, 20, 29, 42, 58, 79, 104, 136, 176, 224, 278, 335, 391, 440, 477, 495, 494, 472, 433, 380, 320, 259, 201, 150, 110, 80, 60, 48, 43, 44, 51, 63, 82, 105, 132, 161, 191, 221, 249, 274, 294, 308, 312, 309, 297, 279, 258, 235, 210, 186, 160, 133, 107, 82, 61, 46, 35, 29, 27, 27, 29, 30, 31, 33, 34, 35, 36, 37, 38, 38, 39, 39, 39, 38, 38, 38, 37, 36, 34, 33, 32, 33, 34, 35, 36, 37, 37, 36, 36, 36, 38, 40, 42, 43, 43, 42, 40, 38, 36, 35, 33, 31, 27, 23, 17, 11, 6, 3, 1, 1, 3, 6, 10, 14, 18, 20, 19, 17, 14, 11, 10, 11, 14, 18, 22, 24, 24, 22, 20, 17, 15, 13, 11, 8, 6, 7, 11, 20, 32, 45, 56, 64, 68, 71, 75, 83, 97, 117, 140, 164, 188, 211, 233, 255, 274, 290, 300, 304, 302, 296, 289, 283, 278, 274, 270, 262, 251, 238, 226, 216, 211, 212, 219, 231, 246, 262, 274, 283, 288, 291, 295, 302, 313, 327, 340, 350, 355, 354, 349, 342, 335, 327, 319, 309, 298, 287, 277, 270, 265, 263, 262, 259, 254, 248, 240, 232, 226, 220, 216, 211, 205, 198, 191, 183, 177, 174, 174, 177, 184, 192, 198, 202, 203, 202, 200, 199, 201, 206, 212, 219, 225, 229, 231, 233, 233, 233, 231, 228, 225, 222, 220, 219],
"peakG": [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 4, 11, 25, 47, 74, 102, 126, 138, 133, 110, 75, 41, 29, 59, 146, 291, 480, 684, 861, 973, 991, 908, 742, 532, 324, 167, 93, 113, 214, 364, 519, 638, 690, 665, 570, 431, 281, 151, 58, 7, 0, 1, 17, 33, 42, 44, 40, 32, 22, 13, 5, 0, 0, 1, 5, 12, 20, 28, 33, 35, 32, 25, 16, 7, 0, 0, 2, 12, 26, 42, 55, 61, 59, 49, 33, 16, 3, 0, 0, 7, 17, 24, 25, 20, 14, 18, 44, 101, 194, 317, 453, 578, 665, 695, 660, 567, 437, 296, 170, 77, 22, 0, 0, 3, 8, 8, 6, 8, 16, 30, 48, 64, 76, 89, 115, 169, 261, 390, 536, 666, 741, 734, 641, 484, 305, 147, 40, 0, 0, 9, 31, 43, 40, 30, 18, 9, 4, 3, 5, 11, 20, 31, 42, 49, 51, 46, 35, 21, 8, 0, 0, 4, 13, 23, 29, 28, 19, 6, 0, 9, 51, 133, 255, 400, 542, 648, 692, 660, 559, 416, 264, 134, 46, 2, 0, 0, 8, 15, 17, 16, 12, 6, 0, 0, 8, 47, 123, 234, 367, 499, 599, 641, 616, 527, 397, 257, 134, 48, 3, 0, 0, 13, 24, 26, 21, 13, 9, 19, 55, 125, 232, 367, 511, 634, 708, 711, 640, 512, 356, 206, 90, 20, 0, 0, 9, 21, 27, 28, 27, 26, 26, 26, 23, 18, 11, 6, 5, 10, 19, 30, 39, 43, 40, 32, 20, 9, 1, 0, 0, 4, 11, 18, 22, 24, 22, 17, 10, 3, 0, 0, 1, 5, 10, 10, 7, 0, 0, 10, 48, 120, 224, 348, 469, 561, 600, 576, 493, 372, 241, 126, 46, 4, 0, 0, 8, 13, 13, 11, 9, 8, 9, 10, 10, 9, 8, 7, 7, 7, 7, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 4, 4, 2, 0, 0, 0, 2, 6, 9, 11, 10, 8, 4, 1, 0, 0, 0, 1, 2, 3, 3, 2, 0, 0, 0, 1, 4, 7, 9, 8, 5, 1, 0, 0, 3, 6, 5, 0, 0, 4, 40, 116, 232, 375, 517, 626, 673, 646, 552, 414, 267, 140, 52, 6, 0, 0, 4, 9, 9, 5, 0, 0, 0, 17, 65, 146, 260, 390, 512, 596, 620, 578, 479, 347, 213, 103, 31, 0, 0, 1, 14, 24, 26, 21, 13, 7, 15, 45, 107, 199, 311, 421, 506, 543, 523, 449, 340, 223, 120, 47, 8, 0, 0, 4, 11, 15, 16, 16, 14, 11, 12, 25, 59, 120, 208, 311, 409, 479, 502, 471, 393, 287, 178, 87, 27, 0, 0, 1, 13, 23, 28, 30, 29, 26, 19, 11, 5, 1, 3, 9, 17, 26, 32, 33, 31, 26, 20, 13, 6, 1, 0, 0, 1, 7, 13, 16, 12, 6, 3, 17, 60, 139, 250, 376, 492, 569, 586, 538, 438, 310, 185, 85, 23, 0, 0, 3, 11, 15, 15, 13, 12, 12, 11, 10, 8, 5, 3, 5, 11, 20, 27, 29, 24, 11, 0, 0, 20, 76, 164, 275, 384, 466, 499, 475, 400, 294, 184, 92, 31, 1, 0, 0, 5, 9, 9, 8, 6, 3, 0, 1, 15, 52, 123, 229, 361, 494, 599, 645, 616, 514, 364, 210, 96, 58, 112, 244, 419, 588, 704, 738, 679, 545, 371, 201, 79, 34, 75, 189, 345, 500, 615, 659, 624, 523, 383, 239, 119, 40, 1, 0, 1, 12, 21, 28, 32, 36, 38, 36, 30, 19, 8, 0, 0, 6, 20, 36, 50, 57, 55, 44, 30, 15, 3, 0, 0, 6, 17, 29, 38, 43, 41, 33, 23, 11, 3, 0, 0, 2, 9, 16, 23, 27, 28, 26, 21, 14, 8, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 8, 10, 10, 8, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 9, 12, 13, 11, 8, 4, 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, 2, 3, 3, 2, 0, 0, 0, 0, 4, 9, 8, 1, 0, 0, 34, 113, 239, 397, 557, 680, 733, 700, 590, 432, 266, 128, 38, 0, 0, 1, 11, 13, 8, 1, 0, 0, 2, 5, 6, 5, 1, 0, 0, 4, 10, 18, 24, 27, 26, 21, 14, 7, 2, 0, 0, 1, 5, 8, 11, 13, 13, 11, 9, 5, 1, 0, 0, 0, 2, 8, 12, 10, 0, 0, 3, 52, 155, 311, 500, 683, 814, 857, 799, 655, 464, 273, 123, 31, 0, 0, 3, 14, 19, 19, 17, 13, 6, 0, 0, 13, 74, 186, 343, 518, 674, 770, 779, 695, 540, 350, 171, 44, 0, 31, 138, 287, 440, 558, 613, 596, 513, 387, 250, 131, 47, 3, 0, 1, 16, 30, 39, 41, 40, 34, 26, 17, 7, 1, 0, 3, 13, 25, 38, 47, 51, 49, 41, 29, 16, 6, 0, 0, 4, 15, 28, 40, 47, 48, 42, 30, 17, 5, 0, 0, 2, 9, 15, 16, 10, 1, 0, 13, 54, 124, 219, 322, 409, 459, 458, 406, 317, 212, 117, 46, 7, 0, 0, 4, 9, 9, 7, 4, 3, 3, 3, 3, 2, 0, 0, 1, 4, 8, 12, 13, 12, 9, 6, 2, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 2, 1, 0, 0, 0, 3, 7, 10, 12, 11, 9, 5, 2, 0, 0, 0, 3, 6, 8, 9, 7, 5, 2, 2, 3, 4, 4, 2, 0, 0, 0, 2, 7, 8, 3, 0, 0, 23, 87, 194, 336, 487, 613, 682, 672, 583, 436, 265, 115, 24, 14, 90, 230, 398, 548, 640, 650, 579, 449, 296, 158, 59, 6, 0, 0, 9, 14, 13, 9, 7, 7, 10, 12, 11, 8, 3, 0, 0, 3, 10, 16, 21, 22, 20, 15, 8, 1, 0, 0, 3, 12, 23, 32, 37, 35, 29, 19, 10, 3, 0, 0, 0, 2, 9, 18, 23, 21, 10, 0, 0, 25, 104, 235, 405, 583, 725, 793, 766, 646, 462, 260, 90, 0, 0, 95, 260, 448, 610, 703, 706, 622, 477, 312, 165, 60, 4, 0, 0, 11, 22, 24, 17, 5, 0, 0, 17, 78, 182, 317, 460, 577, 634, 615, 526, 390, 244, 120, 37, 0, 0, 0, 12, 22, 29, 35, 40, 44, 42, 35, 24, 11, 1, 0, 1, 12, 27, 42, 53, 57, 54, 44, 30, 16, 5, 0, 0, 3, 9, 14, 17, 17, 15, 11, 7, 3, 0, 0, 0, 0, 5, 11, 13, 7, 0, 0, 13, 75, 186, 335, 493, 620, 681, 658, 556, 405, 246, 115, 31, 0, 0, 3, 12, 13, 7, 0, 0, 0, 0, 2, 3, 3, 2, 0, 0, 0, 0, 0, 1, 2, 3, 3, 1, 0, 0, 0, 1, 6, 9, 7, 0, 0, 5, 45, 129, 255, 407, 553, 656, 689, 640, 523, 370, 219, 99, 26, 0, 0, 0, 5, 6, 5, 4, 4, 2, 0, 0, 11, 59, 151, 285, 441, 584, 678, 693, 620, 474, 293, 127, 24, 17, 115, 299, 524, 732, 868, 894, 802, 614, 382, 169, 34, 14, 113, 302, 528, 728, 846, 851, 741, 549, 326, 134, 26, 30, 145, 338, 556, 738, 837, 828, 715, 530, 320, 136, 21, 0, 58, 188, 346, 490, 584, 606, 553, 443, 305, 173, 71, 11, 0, 0, 24, 52, 75, 89, 92, 85, 68, 47, 26, 10, 3, 7, 21, 41, 63, 82, 90, 83, 60, 26, 0, 0, 35, 138, 297, 487, 665, 786, 816, 746, 596, 408, 226, 89, 11, 0, 0, 20, 39, 48, 46, 38, 28, 19, 11, 4, 0, 0, 0, 4, 9, 11, 8, 0, 0, 7, 56, 152, 289, 449, 596, 693, 712, 648, 517, 355, 201, 84, 17, 0, 0, 5, 13, 14, 13, 13, 18, 26, 33, 36, 34, 26, 15, 4, 0, 0, 3, 13, 22, 22, 12, 0, 0, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 22, 104, 243, 423, 604, 740, 791, 737, 590, 389, 188, 41, 0, 38, 177, 368, 560, 701, 757, 713, 582, 399, 209, 60, 0, 15, 130, 305, 495, 651, 732, 718, 618, 462, 291, 145, 46, 0, 0, 2, 19, 31, 35, 35, 32, 28, 23, 16, 8, 2, 0, 0, 7, 16, 27, 35, 38, 36, 29, 19, 9, 1, 0, 0, 5, 17, 31, 43, 50, 48, 39, 26, 12, 1, 0, 0, 5, 14, 22, 27, 28, 24, 18, 10, 4, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 6, 5, 3, 1, 0, 0, 1, 4, 8, 11, 12, 10, 7, 4, 1, 0, 0, 0, 1, 3, 5, 7, 8, 8, 7, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 5, 10, 10, 4, 0, 0, 17, 77, 176, 301, 424, 513, 542, 502, 405, 279, 157, 64, 11, 0, 0, 5, 10, 8, 3, 0, 1, 7, 14, 20, 23, 21, 16, 10, 5, 2, 1, 2, 5, 8, 10, 10, 9, 6, 3, 0, 0, 1, 4, 8, 12, 15, 16, 14, 10, 4, 0, 0, 0, 6, 15, 21, 19, 7, 0, 0, 42, 137, 286, 471, 654, 790, 838, 777, 618, 401, 185, 36, 2, 101, 313, 584, 844, 1021, 1070, 984, 791, 547, 312, 133, 28, 0, 0, 15, 34, 43, 42, 37, 32, 26, 20, 13, 5, 0, 0, 8, 22, 39, 55, 65, 66, 56, 40, 21, 5, 0, 0, 11, 29, 49, 66, 74, 73, 62, 45, 26, 9, 0, 0, 6, 19, 35, 50, 60, 64, 60, 50, 36, 22, 11, 5, 4, 8, 13, 18, 20, 20, 16, 10, 5, 1, 0, 1, 5, 9, 13, 15, 14, 11, 7, 4, 2, 2, 2, 1, 0, 0, 0, 0, 5, 11, 10, 3, 0, 0, 29, 107, 233, 389, 541, 649, 681, 628, 504, 346, 193, 77, 12, 0, 0, 8, 15, 13, 6, 0, 0, 0, 0, 2, 3, 3, 3, 4, 6, 9, 12, 14, 14, 12, 8, 4, 0, 0, 0, 4, 10, 16, 20, 21, 18, 13, 7, 2, 0, 0, 0, 5, 11, 16, 21, 22, 20, 16, 10, 5, 1, 0, 0, 0, 2, 4, 6, 7, 8, 7, 5, 2, 0, 0, 0, 1, 3, 6, 9, 10, 10, 8, 6, 3, 1, 0, 0, 0, 0, 0, 2, 3, 5, 6, 5, 4, 3, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 9, 13, 15, 16, 13, 9, 5, 2, 2, 6, 11, 16, 19, 19, 16, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 10, 4, 0, 0, 0, 2, 6, 9, 10, 9, 6, 4, 1, 0, 0, 0, 0, 0, 0, 2, 5, 10, 13, 13, 10, 4, 0, 0, 1, 7, 10, 7, 0, 0, 3, 46, 128, 243, 369, 472, 525, 509, 431, 313, 188, 85, 20, 0, 0, 4, 13, 15, 11, 5, 1, 0, 0, 2, 2, 1, 1, 1, 2, 4, 6, 6, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 4, 9, 11, 7, 0, 0, 4, 41, 112, 208, 311, 395, 434, 417, 349, 251, 149, 67, 16, 0, 0, 2, 9, 12, 13, 15, 18, 21, 23, 21, 15, 8, 2, 0, 0, 2, 7, 12, 15, 17, 16, 13, 9, 3, 0, 0, 0, 4, 12, 18, 16, 5, 0, 0, 32, 118, 253, 415, 568, 670, 692, 626, 492, 328, 176, 65, 5, 0, 0, 12, 23, 27, 27, 28, 30, 32, 31, 25, 16, 7, 0, 0, 4, 13, 25, 36, 42, 43, 37, 27, 16, 7, 2, 1, 4, 8, 14, 18, 19, 18, 14, 9, 3, 0, 0, 3, 12, 23, 34, 43, 47, 45, 37, 26, 15, 5, 0, 0, 1, 5, 10, 13, 13, 12, 8, 5, 1, 0, 0, 0, 0, 1, 2, 2, 3, 4, 4, 4, 3, 0, 0, 0, 0, 3, 9, 11, 6, 0, 0, 9, 61, 154, 277, 405, 504, 544, 513, 420, 292, 165, 67, 10, 0, 0, 6, 13, 12, 6, 0, 0, 0, 4, 7, 8, 6, 3, 0, 0, 0, 1, 7, 11, 8, 0, 0, 3, 51, 146, 286, 448, 596, 691, 706, 636, 502, 340, 188, 76, 12, 0, 0, 9, 22, 30, 35, 37, 34, 22, 4, 0, 0, 52, 157, 306, 471, 608, 680, 664, 566, 415, 253, 119, 33, 0, 0, 0, 12, 22, 27, 30, 27, 15, 0, 0, 12, 93, 243, 449, 672, 858, 952, 925, 780, 555, 310, 106, 0, 0, 87, 254, 440, 592, 669, 655, 557, 409, 250, 118, 32, 0, 0, 7, 23, 35, 42, 45, 45, 44, 38, 28, 16, 5, 0, 0, 8, 23, 39, 52, 57, 54, 42, 27, 11, 1, 0, 2, 13, 27, 41, 52, 57, 57, 50, 39, 25, 12, 2, 0, 0, 8, 22, 35, 44, 43, 30, 9, 0, 0, 40, 132, 266, 416, 545, 617, 610, 526, 391, 242, 115, 32, 0, 0, 3, 15, 18, 14, 7, 2, 0, 1, 2, 3, 2, 1, 0, 2, 4, 7, 9, 10, 9, 6, 3, 0, 0, 0, 3, 10, 18, 26, 30, 30, 26, 19, 11, 5, 1, 0, 0, 0, 2, 5, 8, 10, 11, 10, 8, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 6, 5, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 5, 4, 1, 0, 0, 0, 6, 15, 17, 9, 0, 0, 21, 111, 268, 476, 692, 860, 932, 881, 719, 488, 248, 61, 0, 6, 143, 346, 556, 714, 777, 732, 596, 414, 235, 97, 18, 0, 0, 8, 19, 23, 26, 30, 32, 26, 10, 0, 0, 39, 144, 309, 504, 685, 801, 817, 729, 564, 368, 190, 63, 0, 0, 4, 32, 57, 70, 72, 66, 52, 35, 19, 6, 0, 4, 17, 35, 52, 65, 71, 67, 57, 42, 27, 13, 3, 0, 0, 3, 12, 22, 32, 37, 36, 30, 20, 9, 1, 0, 0, 7, 18, 29, 36, 37, 32, 23, 12, 3, 0, 0, 1, 5, 8, 9, 8, 6, 4, 3, 2, 3, 2, 1, 0, 0, 0, 2, 8, 12, 8, 0, 0, 4, 54, 150, 286, 435, 558, 620, 602, 508, 366, 217, 95, 20, 0, 0, 5, 14, 13, 6, 0, 0, 0, 2, 6, 6, 4, 2, 0, 1, 5, 10, 13, 14, 12, 9, 5, 1, 0, 0, 0, 2, 5, 9, 13, 15, 15, 13, 9, 3, 0, 0, 0, 4, 11, 15, 9, 0, 0, 4, 60, 165, 311, 466, 591, 648, 618, 512, 361, 207, 85, 14, 0, 0, 8, 17, 16, 9, 1, 0, 0, 1, 3, 3, 2, 0, 0, 3, 9, 15, 21, 24, 23, 18, 12, 6, 2, 0, 0, 4, 11, 21, 30, 35, 30, 14, 0, 0, 15, 89, 213, 369, 521, 628, 657, 599, 472, 314, 165, 57, 1, 0, 0, 14, 22, 21, 14, 7, 4, 5, 8, 9, 9, 4, 0, 0, 0, 1, 13, 22, 20, 6, 0, 0, 46, 173, 372, 610, 831, 973, 992, 881, 676, 433, 215, 64, 0, 0, 3, 32, 48, 43, 21, 0, 0, 16, 105, 259, 462, 679, 855, 942, 909, 758, 529, 284, 95, 14, 63, 221, 436, 643, 778, 806, 725, 566, 376, 203, 78, 10, 0, 0, 11, 27, 38, 42, 38, 25, 9, 4, 30, 106, 237, 409, 589, 732, 798, 768, 650, 477, 295, 142, 41, 0, 0, 5, 26, 45, 58, 66, 69, 66, 57, 42, 24, 8, 0, 0, 7, 25, 48, 69, 83, 85, 74, 55, 33, 13, 1, 0, 3, 14, 30, 44, 52, 47, 29, 2, 0, 4, 84, 236, 448, 680, 874, 974, 948, 795, 557, 297, 87, 0, 10, 157, 381, 615, 792, 863, 807, 642, 416, 192, 33, 0, 54, 231, 467, 698, 863, 917, 846, 671, 438, 208, 40, 0, 27, 182, 397, 614, 776, 838, 789, 647, 454, 261, 110, 19, 0, 0, 24, 56, 81, 97, 101, 95, 80, 58, 34, 12, 0, 0, 7, 27, 54, 79, 98, 103, 93, 71, 43, 17, 0, 0, 5, 25, 48, 66, 75, 72, 58, 37, 17, 2, 0, 0, 9, 23, 37, 45, 46, 40, 29, 16, 6, 1, 0, 0, 0, 1, 3, 6, 10, 15, 19, 20, 18, 12, 6, 1, 0, 0, 3, 6, 8, 8, 6, 4, 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, 3, 6, 8, 8, 5, 0, 0, 0, 0, 9, 16, 15, 4, 0, 0, 37, 139, 299, 490, 665, 775, 784, 690, 522, 328, 159, 45, 0, 0, 2, 16, 18, 11, 1, 0, 0, 1, 7, 10, 7, 1, 0, 0, 1, 10, 18, 16, 4, 0, 0, 51, 165, 339, 546, 739, 865, 884, 784, 590, 351, 134, 0, 0, 94, 304, 557, 781, 916, 925, 811, 612, 387, 189, 55, 0, 0, 3, 27, 41, 40, 27, 8, 0, 3, 46, 134, 263, 413, 551, 641, 655, 588, 460, 306, 164, 61, 6, 0, 0, 6, 16, 25, 34, 47, 59, 67, 65, 53, 34, 15, 1, 0, 0, 12, 27, 41, 48, 48, 40, 27, 13, 2, 0, 0, 9, 18, 26, 29, 27, 20, 13, 5, 1, 0, 0, 0, 3, 7, 11, 15, 17, 16, 13, 9, 3, 0, 0, 0, 7, 17, 24, 24, 13, 0, 0, 17, 96, 232, 411, 596, 738, 794, 743, 595, 388, 180, 30, 0, 45, 208, 422, 625, 760, 789, 708, 547, 355, 181, 60, 0, 0, 1, 18, 27, 27, 22, 18, 16, 15, 13, 9, 4, 1, 0, 4, 11, 20, 27, 31, 32, 28, 22, 13, 5, 0, 0, 2, 12, 25, 37, 45, 46, 39, 27, 14, 3, 0, 0, 3, 11, 19, 26, 28, 26, 21, 14, 9, 5, 3, 0, 0, 0, 0, 2, 12, 22, 23, 11, 0, 0, 23, 125, 296, 510, 718, 860, 893, 805, 625, 406, 206, 65, 0, 0, 0, 21, 35, 36, 23, 4, 0, 0, 25, 114, 256, 431, 601, 720, 753, 688, 546, 368, 199, 75, 7, 0, 0, 10, 20, 23, 24, 26, 30, 33, 33, 28, 18, 8, 0, 0, 3, 13, 25, 38, 47, 50, 47, 38, 25, 13, 3, 0, 0, 5, 13, 21, 26, 27, 24, 17, 10, 5, 3, 5, 10, 15, 20, 21, 21, 18, 15, 11, 7, 3, 0, 0, 0, 1, 8, 14, 12, 2, 0, 0, 35, 125, 263, 425, 571, 659, 662, 577, 432, 269, 129, 37, 0, 0, 2, 9, 9, 4, 1, 3, 7, 7, 0, 0, 0, 44, 135, 265, 408, 524, 578, 553, 455, 316, 176, 67, 5, 0, 0, 12, 24, 27, 23, 17, 13, 10, 7, 5, 2, 0, 0, 4, 11, 18, 25, 29, 29, 25, 19, 11, 4, 0, 0, 0, 2, 7, 12, 16, 19, 19, 17, 13, 8, 3, 0, 0, 0, 3, 14, 23, 24, 14, 0, 0, 13, 93, 233, 416, 603, 743, 795, 743, 602, 414, 230, 90, 12, 0, 0, 11, 19, 16, 7, 0, 0, 0, 1, 3, 3, 2, 0, 2, 7, 14, 21, 25, 24, 19, 13, 6, 1, 0, 0, 1, 4, 6, 7, 7, 6, 4, 2, 0, 0, 0, 1, 3, 5, 7, 7, 6, 5, 3, 1, 0, 0, 0, 0, 2, 6, 10, 14, 16, 15, 12, 7, 2, 0, 0, 1, 5, 10, 15, 18, 18, 17, 14, 10, 6, 1, 0, 0, 0, 3, 13, 18, 12, 0, 0, 0, 67, 198, 384, 588, 757, 839, 810, 678, 483, 282, 121, 24, 0, 0, 3, 14, 19, 19, 19, 16, 7, 0, 0, 15, 96, 240, 430, 625, 772, 826, 769, 620, 422, 230, 86, 6, 0, 0, 15, 28, 30, 25, 21, 19, 21, 22, 19, 13, 4, 0, 0, 3, 18, 35, 44, 37, 16, 0, 0, 40, 155, 331, 538, 723, 835, 839, 736, 556, 351, 171, 50, 0, 0, 4, 24, 36, 38, 35, 31, 28, 24, 20, 14, 7, 2, 0, 0, 2, 7, 14, 20, 24, 25, 22, 16, 9, 2, 0, 0, 3, 14, 26, 34, 32, 18, 0, 0, 6, 72, 191, 348, 507, 624, 666, 618, 496, 337, 185, 71, 8, 0, 0, 4, 12, 16, 18, 19, 15, 5, 0, 0, 28, 121, 273, 464, 650, 779, 813, 741, 584, 389, 206, 73, 2, 0, 0, 17, 29, 30, 24, 17, 12, 10, 8, 6, 3, 1, 0, 3, 9, 16, 22, 24, 22, 17, 10, 4, 0, 0, 1, 7, 15, 25, 33, 38, 39, 36, 30, 21, 10, 1, 0, 0, 4, 22, 41, 53, 47, 22, 0, 0, 36, 175, 397, 666, 915, 1072, 1089, 960, 726, 455, 219, 61, 0, 0, 4, 24, 29, 19, 7, 0, 1, 7, 12, 12, 9, 4, 3, 6, 12, 18, 21, 20, 15, 10, 4, 0, 0, 0, 0, 3, 9, 17, 24, 28, 28, 24, 17, 8, 2, 0, 0, 2, 7, 14, 19, 21, 20, 15, 9, 3, 0, 0, 2, 6, 11, 15, 16, 14, 10, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 8, 9, 8, 6, 2, 0, 0, 0, 3, 14, 22, 19, 3, 0, 0, 52, 182, 379, 607, 809, 927, 924, 800, 594, 365, 171, 44, 0, 0, 6, 23, 28, 22, 13, 8, 7, 10, 11, 8, 2, 0, 0, 1, 10, 17, 15, 2, 0, 0, 49, 164, 338, 541, 724, 836, 844, 744, 566, 363, 183, 61, 1, 0, 0, 7, 10, 9, 9, 13, 15, 8, 0, 0, 17, 101, 252, 454, 661, 819, 880, 824, 670, 462, 257, 101, 12, 0, 0, 15, 32, 40, 41, 38, 35, 31, 24, 15, 6, 0, 1, 8, 19, 31, 40, 44, 42, 36, 26, 16, 8, 3, 2, 5, 10, 17, 23, 27, 27, 23, 15, 7, 1, 0, 2, 8, 17, 23, 26, 24, 18, 10, 4, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 7, 9, 10, 10, 8, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 4, 3, 0, 0, 0, 0, 6, 13, 13, 5, 0, 0, 22, 99, 224, 376, 520, 613, 627, 557, 425, 270, 133, 39, 0, 0, 1, 13, 15, 10, 2, 0, 0, 0, 2, 3, 3, 1, 1, 2, 5, 9, 12, 14, 15, 13, 11, 9, 6, 2, 0, 0, 0, 3, 15, 25, 26, 15, 0, 0, 17, 107, 264, 469, 678, 836, 895, 838, 683, 474, 268, 110, 19, 0, 0, 9, 19, 20, 19, 18, 20, 17, 7, 0, 0, 43, 147, 315, 526, 732, 879, 919, 833, 637, 385, 150, 3, 0, 128, 374, 663, 914, 1057, 1051, 902, 651, 369, 131, 0, 0, 118, 328, 564, 759, 861, 844, 715, 510, 283, 92, 0, 0, 110, 315, 556, 771, 902, 914, 808, 617, 397, 200, 64, 0, 0, 4, 34, 60, 77, 88, 90, 85, 70, 49, 25, 6, 0, 3, 22, 49, 75, 95, 103, 98, 80, 56, 30, 9, 0, 0, 11, 34, 59, 79, 82, 65, 32, 0, 0, 34, 145, 319, 525, 715, 837, 857, 769, 600, 397, 211, 76, 3, 0, 0, 12, 29, 35, 30, 13, 0, 0, 10, 101, 265, 488, 726, 918, 1008, 969, 811, 581, 343, 149, 30, 0, 0, 9, 28, 32, 19, 0, 0, 0, 45, 140, 281, 452, 621, 748, 799, 755, 623, 433, 231, 68, 0, 5, 125, 313, 519, 688, 775, 758, 646, 475, 293, 140, 41, 0, 0, 2, 16, 25, 31, 36, 43, 49, 49, 41, 27, 11, 1, 1, 11, 29, 49, 64, 71, 67, 55, 38, 20, 6, 0, 0, 7, 19, 32, 42, 45, 40, 29, 16, 6, 1, 2, 8, 15, 22, 27, 27, 25, 20, 13, 7, 2, 0, 0, 4, 9, 14, 17, 18, 15, 11, 7, 4, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 4, 2, 0, 0, 0, 1, 9, 15, 14, 2, 0, 0, 41, 145, 304, 493, 665, 774, 786, 697, 534, 343, 174, 58, 1, 0, 0, 11, 13, 8, 4, 7, 14, 17, 10, 0, 0, 29, 124, 286, 493, 702, 857, 913, 850, 682, 450, 217, 41, 0, 15, 174, 404, 645, 834, 918, 877, 727, 514, 296, 122, 18, 0, 0, 22, 41, 40, 21, 0, 0, 30, 127, 284, 482, 682, 836, 900, 852, 700, 483, 260, 92, 26, 77, 226, 428, 624, 759, 800, 741, 603, 426, 253, 118, 34, 0, 0, 4, 16, 25, 32, 38, 44, 46, 43, 34, 20, 7, 0, 0, 11, 28, 47, 61, 66, 61, 47, 29, 11, 1, 0, 9, 25, 43, 59, 67, 66, 56, 42, 26, 11, 1, 0, 0, 8, 21, 33, 42, 45, 41, 31, 20, 10, 3, 0, 0, 0, 1, 8, 16, 19, 13, 0, 0, 2, 62, 181, 354, 552, 727, 832, 835, 735, 561, 361, 183, 60, 0, 0, 0, 15, 19, 14, 5, 0, 0, 1, 4, 3, 0, 0, 0, 5, 14, 17, 9, 0, 0, 18, 105, 258, 461, 670, 831, 896, 845, 693, 486, 278, 117, 22, 0, 0, 8, 20, 24, 23, 23, 26, 32, 34, 31, 22, 11, 2, 0, 0, 5, 12, 17, 19, 17, 13, 8, 4, 0, 0, 0, 2, 7, 14, 21, 25, 25, 22, 17, 10, 4, 0, 0, 0, 3, 13, 23, 26, 18, 2, 0, 0, 56, 170, 336, 522, 685, 780, 778, 681, 516, 328, 163, 48, 0, 0, 11, 44, 71, 85, 86, 76, 59, 39, 22, 8, 1, 0, 0, 4, 8, 11, 14, 15, 13, 11, 7, 3, 0, 0, 0, 0, 4, 9, 14, 18, 19, 18, 13, 7, 1, 0, 0, 5, 15, 26, 34, 36, 33, 25, 16, 8, 3, 1, 1, 3, 6, 10, 16, 21, 19, 9, 0, 0, 14, 86, 213, 380, 555, 691, 750, 712, 590, 419, 245, 107, 23, 0, 0, 3, 13, 16, 16, 13, 8, 1, 0, 0, 22, 94, 215, 371, 530, 652, 703, 665, 552, 394, 234, 106, 27, 0, 0, 2, 11, 15, 15, 15, 18, 20, 19, 13, 5, 0, 6, 22, 48, 75, 94, 98, 88, 66, 40, 17, 2, 0, 0, 2, 9, 16, 22, 25, 25, 21, 15, 8, 3, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 0, 0, 0, 0, 1, 5, 9, 15, 19, 22, 21, 17, 12, 7, 2, 0, 0, 0, 0, 7, 12, 12, 4, 0, 0, 22, 97, 218, 369, 514, 615, 642, 586, 464, 312, 169, 64, 7, 0, 0, 8, 14, 12, 5, 0, 0, 1, 4, 7, 8, 8, 5, 2, 0, 0, 0, 2, 12, 20, 19, 6, 0, 0, 35, 141, 309, 514, 709, 841, 870, 788, 619, 412, 219, 79, 4, 0, 0, 16, 27, 26, 18, 9, 4, 4, 5, 5, 4, 1, 0, 1, 5, 12, 20, 26, 28, 26, 19, 9, 0, 0, 0, 1, 10, 15, 11, 0, 0, 4, 64, 187, 370, 586, 789, 929, 966, 889, 720, 504, 293, 129, 30, 0, 0, 6, 17, 19, 15, 9, 7, 9, 11, 12, 9, 4, 0, 0, 2, 9, 17, 24, 28, 27, 22, 13, 5, 0, 0, 1, 9, 17, 25, 28, 26, 21, 13, 5, 0, 0, 0, 4, 10, 16, 21, 24, 24, 20, 14, 7, 0, 0, 0, 0, 8, 14, 15, 7, 0, 0, 28, 109, 245, 422, 606, 754, 823, 790, 660, 464, 257, 95, 23, 64, 205, 408, 614, 768, 827, 780, 645, 461, 275, 127, 35, 0, 0, 5, 18, 25, 27, 28, 28, 28, 25, 18, 10, 2, 0, 2, 11, 23, 35, 43, 46, 42, 33, 24, 16, 10, 7, 3, 0, 0, 13, 51, 127, 244, 396, 561, 704, 791, 795, 711, 557, 375, 217, 131, 144, 255, 429, 614, 755, 808, 760, 627, 448, 268, 124, 34, 0, 0, 6, 19, 25, 26, 25, 23, 23, 21, 17, 10, 4, 0, 0, 5, 14, 25, 34, 38, 37, 30, 21, 11, 3, 0, 0, 2, 11, 21, 32, 39, 41, 36, 27, 15, 5, 0, 0, 4, 11, 17, 21, 20, 16, 10, 4, 0, 0, 0, 0, 2, 4, 5, 5, 5, 4, 3, 2, 0, 0, 0, 0, 0, 2, 4, 6, 6, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 8, 9, 8, 6, 3, 1, 1, 2, 3, 4, 4, 4, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 4, 7, 10, 13, 15, 16, 14, 11, 6, 1, 0, 0, 1, 6, 9, 6, 0, 0, 10, 60, 157, 299, 465, 625, 741, 782, 739, 621, 458, 288, 145, 50, 2, 0, 0, 9, 14, 13, 11, 10, 10, 11, 11, 8, 4, 2, 2, 6, 12, 19, 23, 25, 23, 19, 13, 8, 3, 0, 0, 0, 5, 12, 19, 24, 25, 21, 14, 6, 0, 0, 4, 13, 25, 35, 43, 45, 41, 31, 19, 8, 1, 1, 6, 9, 8, 0, 0, 2, 46, 139, 283, 463, 644, 785, 851, 824, 710, 539, 351, 188, 72, 10, 0, 0, 8, 15, 16, 13, 10, 9, 9, 9, 8, 5, 2, 1, 3, 7, 13, 20, 26, 30, 32, 30, 25, 18, 11, 6, 6, 11, 19, 26, 31, 32, 27, 19, 11, 6, 5, 9, 16, 25, 32, 37, 39, 37, 33, 28, 22, 16, 12, 9, 8, 9, 12, 15, 17, 17, 13, 8, 3, 0, 1, 6, 13, 19, 23, 23, 19, 14, 10, 7, 8, 11, 15, 15, 11, 2, 0, 2, 35, 105, 215, 352, 496, 617, 688, 690, 624, 506, 361, 221, 109, 35, 0, 0, 0, 8, 12, 8, 0, 0, 0, 33, 104, 215, 357, 511, 649, 740, 766, 719, 609, 460, 302, 163, 63, 8, 0, 6, 33, 60, 81, 90, 89, 80, 66, 50, 34, 20, 11, 6, 8, 15, 23, 31, 33, 32, 31, 40, 69, 127, 217, 329, 445, 543, 600, 600, 544, 443, 319, 198, 99, 33, 1, 0, 1, 15, 30, 41, 48, 49, 44, 34, 22, 12, 8, 10, 17, 27, 35, 38, 36, 31, 23, 18, 16, 18, 21, 24, 26, 26, 25, 22, 17, 11, 4, 0, 1, 20, 69, 155, 278, 432, 594, 737, 832, 857, 805, 685, 522, 349, 196, 85, 20, 0, 0, 5, 14, 20, 22, 23, 24, 25, 23, 19, 13, 8, 6, 7, 10, 13, 16, 21, 35, 68, 129, 223, 346, 486, 616, 712, 749, 718, 626, 496, 363, 262, 219, 242, 322, 434, 544, 622, 648, 617, 536, 424, 302, 192, 105, 46, 13, 1, 1, 9, 18, 28, 36, 41, 41, 37, 28, 19, 11, 7, 9, 15, 24, 31, 35, 34, 28, 20, 10, 3, 0, 0, 3, 11, 21, 31, 38, 41, 41, 37, 30, 23, 16, 9, 5, 3, 6, 12, 20, 28, 32, 32, 26, 16, 7, 0, 0, 0, 5, 10, 12, 12, 10, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 6, 6, 5, 3, 1, 0, 0, 0, 1, 1, 1, 1, 2, 3, 6, 9, 12, 13, 13, 12, 10, 8, 6, 5, 4, 4, 2, 1, 0, 0, 0, 0, 1, 2, 3, 3, 2, 1, 0, 0, 0, 1, 4, 6, 8, 8, 7, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 4, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 3, 15, 38, 76, 131, 203, 286, 371, 446, 498, 517, 498, 444, 363, 271, 181, 105, 51, 20, 5, 1, 0, 0, 0, 0, 2, 14, 38, 75, 130, 203, 291, 389, 486, 567, 618, 628, 593, 519, 416, 303, 196, 109, 48, 13, 0, 0, 4, 11, 17, 19, 18, 15, 11, 6, 4, 4, 6, 11, 17, 23, 27, 29, 29, 28, 26, 24, 21, 19, 16, 12, 8, 7, 8, 13, 20, 28, 35, 40, 44, 52, 69, 99, 146, 208, 278, 347, 403, 437, 443, 420, 372, 308, 235, 165, 104, 57, 25, 7, 0, 0, 2, 6, 10, 12, 13, 14, 15, 16, 17, 18, 19, 19, 18, 15, 12, 8, 5, 2, 1, 2, 3, 4, 6, 7, 8, 11, 13, 17, 20, 23, 26, 28, 30, 30, 29, 26, 22, 19, 19, 24, 36, 57, 89, 131, 184, 244, 308, 369, 419, 451, 463, 455, 432, 403, 377, 362, 361, 376, 402, 435, 467, 491, 500, 491, 461, 413, 350, 279, 208, 144, 91, 53, 29, 16, 12, 13, 18, 28, 43, 67, 101, 146, 199, 257, 316, 369, 410, 436, 443, 432, 405, 365, 316, 263, 210, 160, 117, 82, 56, 38, 27, 20, 17, 16, 17, 21, 26, 32, 37, 39, 39, 37, 35, 34, 36, 40, 45, 47, 47, 42, 35, 27, 21, 18, 17, 19, 21, 21, 20, 17, 14, 11, 10, 10, 12, 14, 15, 14, 12, 11, 9, 9, 9, 10, 10, 9, 7, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 3, 9, 16, 22, 25, 24, 20, 15, 13, 17, 28, 47, 74, 109, 150, 196, 244, 292, 336, 374, 404, 426, 441, 448, 447, 437, 418, 389, 351, 306, 258, 210, 165, 127, 97, 75, 60, 50, 42, 35, 29, 26, 26, 32, 44, 60, 78, 94, 109, 124, 141, 162, 190, 221, 252, 277, 294, 299, 294, 282, 266, 250, 234, 219, 204, 186, 166, 144, 121, 100, 81, 65, 52, 43, 36, 31, 30, 30, 32, 33, 33, 30, 24, 17, 9, 3, 1, 4, 9, 16, 22, 25, 24, 20, 15, 10, 7, 6, 8, 12, 15, 17, 17, 15, 12, 8, 6, 4, 5, 6, 8, 11, 12, 12, 11, 10, 10, 12, 17, 23, 27, 28, 25, 18, 9, 2, 0, 0, 3, 7, 10, 10, 8, 4, 0, 0, 0, 2, 7, 11, 12, 12, 9, 6, 4, 4, 6, 7, 9, 8, 6, 3, 1, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5],
"peakT": [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 6, 12, 21, 33, 47, 62, 75, 79, 70, 43, 8, 0, 10, 121, 348, 692, 1118, 1555, 1912, 2107, 2089, 1861, 1476, 1021, 592, 261, 60, 0, 0, 41, 92, 124, 132, 120, 97, 71, 46, 27, 14, 8, 10, 18, 29, 39, 45, 45, 39, 36, 47, 84, 156, 263, 393, 524, 629, 683, 671, 592, 464, 316, 187, 111, 111, 194, 342, 520, 686, 796, 822, 759, 623, 448, 276, 148, 87, 101, 176, 288, 402, 489, 526, 505, 434, 332, 225, 140, 97, 106, 165, 258, 362, 451, 505, 510, 465, 381, 275, 171, 85, 27, 0, 0, 8, 27, 45, 56, 59, 57, 51, 49, 58, 84, 128, 187, 252, 311, 352, 367, 353, 314, 257, 193, 131, 77, 36, 9, 0, 0, 4, 8, 6, 0, 0, 14, 75, 191, 359, 556, 742, 872, 911, 847, 696, 498, 299, 139, 37, 0, 0, 7, 26, 39, 46, 46, 44, 38, 29, 18, 8, 2, 3, 10, 21, 31, 37, 37, 31, 21, 11, 3, 0, 0, 0, 5, 11, 16, 20, 20, 16, 11, 5, 0, 0, 2, 7, 13, 19, 23, 24, 22, 18, 13, 7, 4, 1, 1, 1, 0, 0, 0, 0, 0, 3, 5, 3, 0, 0, 3, 31, 84, 164, 259, 352, 421, 452, 435, 375, 289, 194, 109, 48, 11, 0, 0, 0, 5, 8, 6, 1, 0, 0, 12, 53, 123, 218, 322, 411, 463, 463, 410, 318, 212, 115, 44, 5, 0, 0, 7, 15, 18, 18, 16, 15, 13, 11, 8, 3, 0, 0, 0, 6, 14, 20, 21, 16, 7, 1, 9, 39, 96, 177, 270, 355, 412, 426, 393, 321, 229, 137, 64, 18, 0, 0, 1, 5, 5, 2, 0, 0, 0, 2, 4, 4, 2, 1, 1, 2, 4, 6, 7, 7, 5, 4, 2, 1, 0, 0, 0, 0, 2, 6, 6, 2, 0, 0, 24, 84, 184, 316, 459, 582, 653, 653, 577, 444, 289, 151, 70, 66, 140, 273, 426, 558, 633, 632, 558, 433, 289, 160, 65, 12, 0, 0, 7, 16, 22, 25, 28, 30, 29, 25, 18, 9, 2, 0, 0, 6, 16, 26, 32, 34, 30, 23, 14, 6, 1, 0, 0, 4, 10, 18, 25, 30, 30, 22, 8, 0, 0, 23, 86, 186, 309, 431, 525, 566, 546, 469, 357, 235, 128, 52, 9, 0, 0, 3, 9, 11, 6, 0, 0, 0, 31, 95, 194, 317, 441, 538, 583, 563, 482, 361, 230, 117, 40, 1, 0, 0, 8, 10, 8, 3, 0, 2, 5, 9, 10, 8, 4, 1, 0, 0, 4, 9, 13, 15, 14, 11, 6, 2, 0, 0, 0, 2, 7, 12, 16, 18, 17, 13, 8, 2, 0, 0, 5, 14, 23, 30, 32, 27, 16, 2, 0, 5, 40, 104, 190, 284, 364, 408, 403, 348, 258, 158, 80, 49, 78, 164, 285, 410, 503, 541, 513, 428, 311, 191, 92, 28, 0, 0, 1, 7, 8, 5, 0, 0, 0, 1, 4, 6, 4, 1, 0, 0, 0, 4, 7, 6, 0, 0, 1, 32, 100, 204, 333, 464, 566, 615, 598, 519, 399, 266, 147, 60, 11, 0, 0, 7, 16, 20, 20, 16, 12, 8, 5, 3, 4, 7, 11, 15, 18, 19, 18, 15, 12, 8, 4, 1, 0, 0, 0, 2, 5, 7, 9, 9, 8, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 6, 6, 4, 2, 0, 0, 0, 2, 5, 8, 9, 9, 7, 4, 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, 1, 3, 6, 8, 10, 12, 12, 10, 8, 5, 2, 0, 0, 0, 1, 4, 7, 9, 10, 9, 6, 3, 0, 0, 0, 2, 6, 9, 11, 11, 8, 5, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 6, 12, 18, 21, 20, 16, 11, 8, 7, 8, 12, 15, 19, 22, 22, 19, 9, 0, 0, 11, 67, 171, 317, 483, 634, 733, 755, 690, 554, 382, 217, 102, 66, 116, 241, 405, 566, 681, 721, 675, 559, 403, 245, 115, 33, 0, 0, 11, 30, 41, 45, 44, 40, 37, 33, 30, 27, 26, 27, 30, 33, 33, 26, 14, 5, 14, 59, 152, 293, 468, 643, 781, 846, 821, 711, 544, 359, 195, 77, 12, 0, 0, 14, 30, 42, 51, 59, 66, 70, 68, 60, 48, 35, 26, 22, 25, 31, 39, 45, 48, 46, 41, 32, 23, 14, 9, 10, 17, 29, 42, 52, 54, 47, 35, 20, 7, 1, 2, 8, 16, 21, 23, 20, 15, 10, 5, 1, 0, 0, 0, 5, 13, 24, 33, 38, 35, 26, 14, 4, 0, 1, 8, 17, 23, 24, 20, 12, 5, 0, 0, 0, 2, 4, 6, 8, 8, 8, 7, 7, 6, 6, 7, 10, 15, 21, 25, 27, 25, 20, 13, 9, 8, 11, 14, 12, 3, 0, 0, 32, 116, 249, 417, 587, 719, 777, 747, 637, 475, 302, 154, 52, 1, 0, 0, 15, 27, 30, 23, 9, 0, 0, 15, 72, 167, 289, 416, 517, 565, 547, 468, 350, 223, 113, 39, 1, 0, 0, 10, 19, 24, 28, 31, 33, 31, 25, 17, 7, 1, 0, 7, 19, 33, 45, 53, 54, 49, 40, 29, 20, 16, 17, 24, 35, 46, 55, 57, 53, 42, 29, 17, 10, 11, 18, 30, 42, 49, 49, 42, 30, 17, 6, 0, 0, 2, 8, 15, 22, 28, 33, 35, 33, 27, 18, 9, 2, 0, 4, 13, 23, 30, 33, 30, 21, 11, 2, 0, 0, 7, 19, 30, 37, 38, 32, 23, 12, 4, 0, 0, 0, 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, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 3, 4, 4, 2, 0, 0, 3, 9, 15, 14, 5, 0, 0, 26, 105, 235, 401, 570, 700, 754, 716, 594, 417, 232, 84, 6, 11, 91, 216, 350, 455, 504, 488, 415, 308, 194, 97, 33, 1, 0, 2, 13, 24, 32, 39, 44, 46, 44, 35, 22, 11, 5, 8, 20, 36, 47, 46, 33, 13, 1, 12, 64, 161, 292, 434, 551, 613, 603, 523, 394, 252, 127, 42, 0, 0, 0, 11, 17, 18, 16, 16, 17, 19, 18, 16, 11, 8, 9, 13, 19, 25, 29, 28, 23, 15, 6, 0, 0, 1, 7, 16, 25, 31, 32, 29, 21, 12, 5, 1, 1, 5, 13, 22, 31, 37, 38, 31, 16, 0, 0, 6, 59, 155, 284, 421, 533, 589, 573, 489, 360, 223, 106, 30, 0, 0, 3, 15, 21, 21, 18, 15, 15, 17, 19, 22, 23, 24, 24, 25, 26, 25, 21, 12, 1, 0, 7, 52, 137, 259, 399, 525, 604, 609, 535, 401, 245, 114, 49, 72, 175, 326, 479, 586, 618, 569, 456, 315, 180, 77, 18, 0, 0, 6, 17, 25, 32, 38, 44, 47, 46, 42, 35, 28, 24, 23, 25, 28, 31, 33, 34, 33, 29, 23, 15, 9, 6, 9, 17, 31, 45, 55, 60, 56, 45, 30, 15, 3, 0, 0, 7, 18, 28, 35, 37, 33, 24, 14, 6, 0, 0, 0, 3, 9, 14, 17, 17, 15, 11, 6, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 4, 8, 12, 15, 17, 18, 17, 15, 14, 13, 13, 13, 14, 14, 15, 15, 15, 13, 11, 7, 4, 1, 1, 2, 4, 6, 7, 7, 6, 5, 3, 1, 0, 0, 0, 0, 6, 11, 11, 4, 0, 0, 26, 99, 217, 364, 509, 613, 644, 591, 466, 306, 156, 61, 44, 107, 225, 358, 464, 511, 487, 404, 287, 169, 76, 19, 0, 0, 4, 10, 11, 7, 3, 1, 2, 4, 5, 5, 3, 0, 0, 0, 5, 14, 23, 30, 34, 31, 24, 14, 5, 0, 0, 4, 14, 26, 35, 40, 39, 32, 23, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 13, 6, 4, 7, 14, 23, 30, 36, 37, 35, 30, 24, 18, 14, 12, 12, 12, 13, 13, 11, 9, 6, 4, 3, 3, 4, 5, 7, 8, 9, 8, 8, 8, 8, 9, 11, 13, 15, 17, 19, 21, 24, 26, 25, 18, 6, 0, 0, 32, 110, 235, 395, 559, 688, 746, 712, 589, 407, 216, 70, 14, 66, 213, 413, 607, 740, 774, 703, 553, 369, 197, 72, 6, 0, 0, 19, 31, 34, 29, 22, 19, 18, 19, 19, 18, 16, 15, 18, 26, 38, 48, 51, 42, 24, 7, 9, 51, 143, 285, 454, 612, 721, 749, 687, 554, 384, 218, 91, 16, 0, 0, 15, 32, 43, 46, 45, 41, 36, 29, 20, 10, 2, 0, 3, 11, 23, 33, 38, 37, 29, 17, 6, 0, 0, 7, 20, 34, 45, 51, 48, 40, 30, 20, 15, 15, 21, 30, 40, 47, 50, 48, 43, 37, 31, 26, 22, 21, 21, 23, 26, 30, 35, 36, 31, 18, 1, 0, 2, 49, 141, 269, 411, 535, 607, 608, 537, 415, 274, 146, 54, 5, 0, 0, 12, 22, 26, 25, 23, 21, 19, 17, 14, 13, 13, 16, 20, 26, 31, 34, 35, 33, 30, 26, 24, 23, 23, 24, 28, 33, 40, 45, 43, 32, 12, 0, 0, 38, 138, 296, 488, 674, 805, 843, 773, 609, 395, 186, 34, 0, 29, 168, 354, 534, 657, 690, 628, 493, 327, 173, 61, 2, 0, 0, 20, 36, 44, 46, 45, 42, 37, 29, 19, 11, 7, 9, 15, 22, 22, 15, 2, 0, 23, 102, 249, 457, 698, 920, 1064, 1084, 964, 732, 453, 216, 103, 161, 388, 723, 1071, 1330, 1426, 1336, 1091, 766, 445, 195, 44, 0, 0, 18, 46, 63, 72, 77, 80, 79, 69, 52, 30, 11, 2, 6, 22, 46, 68, 84, 90, 83, 68, 48, 28, 15, 11, 19, 37, 60, 82, 98, 101, 92, 72, 45, 20, 2, 0, 2, 19, 42, 64, 78, 81, 72, 54, 33, 14, 2, 0, 0, 4, 14, 25, 36, 42, 43, 38, 28, 17, 7, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 2, 2, 1, 0, 0, 0, 0, 1, 5, 11, 18, 24, 27, 26, 22, 15, 10, 6, 5, 6, 9, 13, 21, 32, 42, 44, 34, 10, 0, 0, 53, 200, 430, 709, 974, 1156, 1201, 1096, 873, 594, 330, 133, 22, 0, 0, 12, 27, 32, 33, 34, 39, 43, 42, 33, 19, 5, 0, 4, 19, 39, 57, 67, 65, 54, 36, 18, 5, 0, 0, 4, 14, 27, 39, 47, 49, 44, 34, 20, 9, 3, 4, 13, 25, 38, 47, 50, 48, 41, 32, 23, 14, 7, 2, 0, 0, 5, 12, 20, 26, 29, 28, 23, 15, 7, 1, 0, 0, 4, 9, 14, 16, 15, 11, 7, 3, 1, 2, 4, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 7, 10, 14, 20, 27, 33, 31, 20, 1, 0, 0, 59, 180, 353, 545, 709, 799, 788, 679, 505, 314, 151, 43, 0, 0, 3, 17, 23, 19, 12, 6, 3, 3, 3, 3, 3, 3, 4, 7, 9, 10, 11, 9, 7, 4, 2, 0, 0, 0, 3, 9, 17, 25, 30, 30, 26, 19, 11, 4, 2, 5, 12, 21, 31, 40, 45, 41, 28, 9, 0, 0, 34, 118, 246, 397, 539, 634, 657, 599, 478, 327, 183, 74, 11, 0, 0, 12, 27, 36, 40, 40, 38, 34, 28, 20, 13, 8, 7, 11, 19, 29, 40, 47, 50, 47, 40, 29, 19, 12, 10, 12, 19, 28, 35, 37, 31, 16, 0, 0, 10, 72, 180, 320, 463, 572, 615, 579, 474, 330, 188, 77, 12, 0, 0, 7, 15, 13, 6, 0, 0, 0, 0, 2, 2, 1, 0, 2, 7, 15, 22, 26, 26, 20, 12, 4, 0, 0, 6, 17, 28, 37, 41, 40, 35, 29, 24, 21, 20, 19, 20, 21, 22, 25, 28, 28, 26, 21, 14, 6, 0, 0, 0, 5, 11, 16, 18, 17, 13, 7, 3, 0, 0, 0, 2, 4, 4, 4, 2, 1, 0, 0, 0, 0, 0, 1, 3, 5, 8, 10, 10, 8, 6, 3, 2, 2, 4, 8, 10, 12, 12, 10, 7, 3, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 8, 10, 12, 12, 11, 8, 4, 1, 0, 0, 4, 12, 24, 35, 42, 44, 39, 29, 17, 7, 1, 0, 0, 1, 3, 4, 4, 3, 1, 0, 0, 0, 4, 11, 18, 23, 25, 23, 17, 9, 3, 0, 0, 3, 8, 11, 13, 12, 9, 6, 3, 2, 0, 0, 0, 0, 3, 9, 18, 29, 38, 44, 45, 39, 30, 18, 8, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 8, 10, 12, 15, 19, 23, 27, 28, 28, 24, 19, 13, 7, 3, 0, 0, 0, 2, 7, 13, 18, 21, 21, 18, 14, 12, 11, 14, 18, 22, 24, 24, 21, 17, 12, 9, 6, 5, 6, 7, 10, 13, 16, 17, 15, 12, 8, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 6, 6, 7, 8, 8, 9, 9, 9, 8, 6, 5, 5, 6, 9, 12, 15, 17, 18, 17, 14, 10, 6, 3, 1, 0, 0, 0, 1, 3, 6, 9, 11, 13, 12, 9, 6, 2, 0, 0, 2, 7, 12, 17, 20, 23, 25, 27, 29, 29, 28, 29, 32, 39, 44, 40, 23, 0, 0, 6, 102, 283, 530, 793, 1005, 1102, 1054, 876, 622, 361, 153, 29, 0, 0, 14, 33, 40, 37, 31, 27, 26, 24, 19, 12, 5, 2, 4, 12, 23, 34, 42, 45, 41, 32, 19, 7, 0, 0, 9, 23, 37, 48, 51, 46, 34, 20, 7, 0, 0, 2, 13, 27, 41, 52, 57, 54, 46, 33, 20, 10, 3, 0, 0, 0, 2, 5, 8, 11, 13, 13, 11, 7, 3, 0, 0, 0, 2, 4, 6, 7, 6, 4, 2, 0, 0, 0, 3, 6, 9, 10, 9, 7, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 8, 11, 12, 13, 16, 21, 25, 24, 13, 0, 0, 5, 75, 206, 386, 578, 731, 801, 765, 635, 450, 260, 109, 20, 0, 0, 10, 23, 23, 15, 5, 0, 0, 2, 5, 5, 2, 0, 0, 5, 13, 24, 33, 37, 35, 27, 16, 6, 0, 0, 2, 9, 16, 22, 25, 26, 23, 19, 13, 8, 6, 7, 14, 26, 41, 56, 66, 68, 61, 47, 29, 13, 3, 1, 5, 12, 19, 23, 23, 19, 14, 9, 5, 2, 0, 0, 1, 5, 11, 18, 25, 29, 30, 29, 27, 26, 27, 29, 32, 34, 35, 35, 35, 35, 30, 18, 1, 0, 1, 55, 161, 313, 484, 629, 706, 685, 567, 384, 190, 45, 0, 57, 209, 403, 576, 677, 677, 583, 428, 260, 119, 30, 0, 0, 9, 23, 30, 30, 28, 28, 30, 32, 30, 23, 14, 5, 2, 5, 15, 28, 40, 47, 48, 41, 29, 17, 8, 5, 10, 21, 35, 48, 57, 58, 53, 42, 29, 18, 11, 9, 13, 22, 32, 40, 46, 46, 42, 35, 26, 17, 10, 6, 5, 6, 9, 11, 11, 10, 8, 5, 3, 2, 2, 2, 2, 1, 3, 7, 13, 19, 19, 10, 0, 0, 10, 74, 187, 334, 484, 593, 631, 583, 466, 315, 170, 62, 2, 0, 0, 8, 19, 20, 14, 2, 0, 0, 15, 79, 184, 319, 458, 565, 609, 577, 479, 343, 203, 91, 22, 0, 0, 5, 17, 24, 27, 28, 29, 29, 27, 22, 15, 10, 7, 9, 14, 22, 30, 37, 41, 44, 44, 43, 39, 34, 29, 25, 24, 25, 28, 30, 31, 28, 21, 13, 6, 1, 0, 0, 3, 5, 6, 5, 4, 3, 4, 5, 8, 10, 12, 12, 11, 10, 8, 7, 7, 7, 8, 8, 8, 7, 6, 6, 7, 9, 12, 14, 15, 14, 10, 6, 2, 0, 0, 3, 6, 9, 9, 7, 4, 1, 1, 2, 6, 10, 12, 12, 10, 6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 6, 13, 23, 36, 48, 52, 43, 21, 0, 0, 17, 108, 258, 444, 621, 741, 767, 691, 537, 350, 179, 58, 0, 0, 2, 23, 36, 39, 34, 27, 21, 16, 13, 9, 5, 3, 4, 7, 12, 17, 20, 20, 17, 13, 7, 2, 0, 0, 1, 7, 17, 28, 38, 44, 43, 36, 25, 14, 7, 5, 8, 15, 22, 26, 27, 24, 20, 16, 14, 14, 14, 15, 16, 20, 28, 37, 41, 32, 9, 0, 0, 48, 191, 412, 674, 914, 1063, 1074, 944, 714, 450, 219, 63, 0, 0, 5, 29, 40, 38, 30, 23, 19, 18, 16, 12, 6, 2, 1, 5, 13, 21, 28, 33, 33, 31, 26, 19, 13, 7, 4, 4, 6, 11, 19, 29, 37, 38, 30, 12, 0, 0, 31, 128, 283, 474, 658, 786, 817, 739, 569, 354, 151, 15, 0, 47, 196, 381, 548, 650, 661, 584, 444, 284, 142, 46, 0, 0, 4, 21, 32, 38, 41, 45, 48, 48, 42, 31, 17, 6, 3, 8, 17, 21, 16, 2, 0, 4, 55, 154, 294, 447, 578, 651, 645, 563, 429, 278, 144, 51, 3, 0, 0, 12, 23, 29, 34, 39, 44, 46, 42, 34, 22, 11, 5, 7, 15, 28, 43, 55, 62, 62, 56, 45, 31, 19, 12, 12, 16, 21, 18, 8, 0, 0, 38, 129, 276, 463, 651, 791, 836, 765, 588, 352, 130, 0, 5, 171, 456, 784, 1062, 1211, 1191, 1017, 746, 454, 211, 55, 0, 0, 14, 45, 64, 71, 71, 67, 60, 50, 37, 21, 7, 0, 1, 12, 28, 46, 60, 65, 62, 49, 32, 15, 2, 0, 1, 13, 31, 48, 62, 68, 64, 52, 35, 18, 4, 0, 1, 13, 32, 51, 67, 74, 70, 57, 38, 19, 4, 0, 0, 9, 21, 32, 37, 37, 30, 20, 11, 3, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 6, 11, 14, 16, 14, 10, 6, 2, 0, 0, 0, 0, 0, 2, 7, 13, 18, 22, 23, 21, 15, 8, 1, 0, 0, 0, 6, 11, 12, 4, 0, 0, 17, 81, 185, 315, 441, 528, 549, 498, 391, 258, 135, 47, 1, 0, 0, 8, 12, 8, 2, 0, 0, 2, 7, 9, 7, 4, 0, 0, 2, 7, 12, 16, 16, 14, 9, 4, 0, 0, 0, 2, 5, 7, 8, 7, 6, 3, 1, 0, 0, 0, 1, 5, 9, 13, 15, 16, 13, 9, 4, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 5, 8, 9, 9, 7, 5, 4, 7, 12, 18, 23, 25, 22, 16, 9, 3, 0, 0, 1, 4, 6, 7, 6, 4, 2, 0, 0, 0, 2, 4, 6, 7, 7, 5, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 8, 9, 8, 6, 4, 1, 0, 0, 0, 1, 3, 6, 10, 13, 16, 17, 18, 18, 19, 19, 18, 17, 17, 19, 21, 23, 20, 10, 0, 0, 8, 68, 175, 316, 464, 580, 633, 608, 512, 373, 227, 105, 24, 0, 0, 8, 30, 40, 27, 0, 0, 0, 105, 317, 617, 948, 1228, 1376, 1347, 1151, 845, 516, 240, 63, 0, 0, 10, 38, 50, 50, 47, 49, 56, 64, 69, 66, 59, 51, 46, 48, 52, 51, 39, 17, 0, 0, 45, 161, 344, 567, 783, 935, 979, 902, 725, 498, 279, 111, 15, 0, 0, 17, 41, 59, 70, 78, 82, 79, 68, 49, 28, 9, 0, 0, 7, 21, 37, 50, 58, 59, 52, 40, 26, 14, 8, 10, 18, 29, 40, 47, 48, 45, 39, 32, 26, 22, 21, 21, 23, 25, 27, 28, 27, 23, 18, 11, 4, 0, 0, 1, 5, 9, 12, 12, 10, 8, 5, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 5, 13, 23, 30, 33, 31, 23, 14, 6, 1, 0, 0, 0, 1, 3, 7, 11, 15, 18, 18, 15, 10, 5, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 4, 6, 7, 7, 6, 5, 3, 1, 0, 0, 0, 0, 2, 5, 8, 9, 9, 7, 5, 2, 0, 0, 0, 0, 2, 5, 8, 13, 18, 21, 22, 20, 15, 9, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 9, 11, 12, 10, 7, 3, 1, 0, 0, 0, 0, 0, 0, 0, 5, 12, 19, 23, 23, 19, 16, 19, 25, 30, 24, 5, 0, 0, 57, 211, 448, 729, 986, 1146, 1158, 1019, 772, 487, 237, 69, 0, 0, 5, 31, 43, 42, 33, 26, 21, 18, 14, 9, 4, 3, 8, 18, 29, 37, 40, 36, 28, 18, 9, 2, 0, 0, 0, 5, 12, 20, 28, 33, 33, 27, 18, 7, 0, 0, 3, 16, 33, 51, 63, 67, 64, 55, 43, 32, 22, 16, 14, 18, 27, 36, 39, 27, 3, 0, 0, 69, 230, 468, 737, 968, 1093, 1073, 913, 664, 397, 176, 38, 0, 0, 13, 37, 45, 40, 31, 22, 17, 14, 11, 6, 3, 3, 8, 17, 29, 39, 45, 45, 39, 31, 21, 12, 6, 3, 4, 8, 14, 21, 27, 31, 29, 23, 15, 6, 1, 2, 11, 26, 43, 57, 65, 65, 57, 44, 29, 15, 5, 0, 0, 0, 4, 8, 13, 16, 17, 16, 14, 12, 12, 14, 18, 21, 23, 21, 18, 14, 12, 11, 9, 5, 0, 0, 11, 50, 124, 226, 341, 439, 492, 479, 396, 266, 126, 23, 0, 65, 216, 412, 596, 717, 742, 666, 517, 339, 176, 61, 1, 0, 1, 19, 31, 32, 26, 18, 11, 7, 4, 2, 1, 3, 7, 14, 23, 32, 42, 49, 54, 55, 52, 46, 38, 32, 29, 30, 32, 30, 18, 0, 0, 5, 75, 213, 412, 640, 843, 968, 977, 867, 668, 436, 226, 77, 0, 0, 0, 23, 38, 42, 40, 37, 37, 39, 41, 39, 33, 28, 26, 29, 37, 45, 45, 33, 10, 0, 0, 64, 204, 415, 663, 893, 1040, 1056, 928, 687, 402, 159, 34, 67, 250, 528, 816, 1029, 1108, 1037, 846, 594, 346, 153, 37, 0, 0, 15, 39, 57, 66, 66, 55, 32, 4, 0, 16, 109, 278, 507, 754, 957, 1058, 1024, 860, 608, 338, 123, 18, 43, 177, 370, 555, 674, 691, 607, 451, 279, 146, 95, 142, 268, 430, 576, 660, 659, 575, 436, 282, 147, 53, 5, 0, 0, 15, 30, 43, 54, 63, 67, 64, 53, 37, 19, 8, 7, 17, 38, 62, 84, 97, 97, 85, 64, 41, 22, 12, 13, 25, 42, 60, 73, 79, 77, 67, 52, 37, 25, 17, 16, 20, 26, 33, 36, 36, 31, 23, 16, 10, 7, 7, 8, 8, 8, 7, 4, 2, 1, 2, 6, 12, 19, 25, 28, 27, 22, 16, 8, 3, 0, 0, 1, 2, 4, 4, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 3, 10, 18, 24, 25, 20, 11, 2, 0, 3, 9, 12, 7, 0, 0, 20, 93, 218, 381, 545, 668, 710, 655, 516, 329, 147, 21, 0, 47, 187, 364, 527, 630, 647, 578, 448, 294, 155, 57, 5, 0, 0, 6, 15, 17, 14, 5, 0, 0, 3, 53, 148, 281, 428, 556, 630, 628, 552, 423, 277, 146, 53, 3, 0, 0, 9, 18, 17, 8, 0, 0, 8, 65, 170, 318, 484, 633, 727, 738, 663, 522, 353, 196, 80, 14, 0, 0, 5, 11, 11, 9, 11, 17, 25, 30, 28, 20, 10, 2, 1, 8, 20, 33, 44, 48, 44, 35, 23, 12, 5, 5, 11, 21, 30, 33, 26, 11, 0, 0, 28, 105, 226, 373, 515, 619, 655, 615, 510, 368, 223, 104, 27, 0, 0, 3, 22, 32, 27, 8, 0, 0, 38, 164, 365, 611, 847, 1010, 1052, 961, 765, 519, 287, 114, 17, 0, 0, 14, 29, 34, 35, 36, 40, 46, 49, 48, 42, 34, 26, 21, 21, 26, 33, 39, 40, 31, 15, 0, 0, 23, 96, 217, 368, 519, 630, 666, 612, 479, 305, 144, 47, 48, 151, 326, 521, 675, 745, 711, 589, 418, 244, 106, 23, 0, 0, 9, 23, 29, 29, 28, 27, 27, 26, 22, 18, 14, 13, 18, 26, 36, 44, 48, 46, 39, 29, 18, 8, 1, 0, 0, 2, 10, 20, 31, 40, 44, 41, 33, 20, 6, 0, 0, 0, 11, 23, 27, 17, 0, 0, 5, 78, 218, 410, 617, 787, 871, 844, 714, 520, 315, 145, 37, 0, 0, 5, 19, 23, 18, 10, 6, 6, 7, 8, 7, 4, 1, 0, 1, 5, 9, 12, 13, 12, 9, 6, 5, 6, 8, 10, 13, 15, 18, 20, 21, 21, 19, 15, 10, 4, 0, 0, 1, 5, 11, 17, 21, 23, 22, 19, 14, 9, 5, 2, 1, 0, 0, 0, 0, 0, 4, 11, 18, 23, 24, 21, 16, 13, 11, 11, 7, 0, 0, 0, 33, 108, 227, 371, 509, 605, 630, 576, 458, 310, 169, 64, 6, 0, 0, 10, 19, 21, 19, 16, 15, 15, 13, 9, 3, 0, 0, 3, 10, 14, 9, 0, 0, 7, 61, 165, 312, 476, 620, 704, 705, 621, 477, 311, 163, 58, 4, 0, 0, 10, 16, 14, 10, 8, 9, 12, 14, 12, 7, 2, 0, 5, 17, 34, 49, 59, 60, 52, 37, 21, 8, 0, 0, 0, 6, 13, 21, 27, 33, 35, 33, 28, 20, 14, 10, 12, 18, 27, 34, 37, 33, 25, 14, 4, 0, 0, 2, 10, 20, 30, 36, 37, 33, 25, 15, 7, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 6, 9, 10, 8, 5, 2, 2, 6, 14, 22, 27, 27, 22, 14, 7, 2, 1, 2, 4, 5, 4, 3, 1, 2, 4, 8, 10, 11, 10, 7, 3, 1, 0, 0, 0, 0, 0, 1, 2, 4, 6, 8, 7, 6, 3, 0, 0, 0, 3, 8, 14, 19, 20, 17, 12, 6, 1, 0, 0, 0, 2, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 10, 13, 15, 16, 15, 12, 9, 5, 3, 1, 0, 0, 0, 0, 1, 2, 4, 5, 6, 6, 5, 5, 5, 6, 7, 7, 6, 4, 1, 0, 0, 2, 8, 14, 19, 23, 23, 20, 16, 11, 8, 5, 4, 2, 0, 0, 0, 3, 8, 15, 22, 26, 25, 20, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 12, 5, 0, 0, 3, 10, 17, 23, 24, 21, 15, 8, 2, 0, 0, 0, 3, 5, 6, 7, 8, 9, 9, 9, 8, 7, 5, 5, 4, 4, 3, 2, 1, 0, 0, 0, 2, 5, 6, 6, 5, 3, 1, 0, 1, 3, 6, 7, 8, 8, 7, 6, 4, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 12, 17, 20, 18, 12, 3, 0, 0, 0, 8, 14, 12, 1, 0, 2, 55, 167, 333, 528, 709, 827, 844, 753, 577, 366, 183, 79, 82, 186, 355, 534, 669, 721, 678, 556, 391, 226, 95, 17, 0, 0, 17, 27, 19, 0, 0, 19, 110, 271, 490, 727, 929, 1043, 1037, 911, 700, 464, 269, 165, 174, 279, 436, 590, 686, 696, 618, 479, 324, 204, 158, 205, 338, 522, 710, 849, 899, 842, 692, 492, 300, 177, 167, 279, 485, 731, 945, 1067, 1065, 942, 734, 495, 278, 119, 27, 0, 0, 13, 35, 57, 78, 97, 112, 115, 105, 80, 49, 19, 1, 0, 13, 40, 72, 102, 122, 128, 118, 96, 66, 36, 13, 5, 13, 35, 62, 83, 88, 73, 40, 4, 0, 27, 134, 317, 557, 814, 1032, 1157, 1155, 1023, 792, 521, 281, 133, 109, 207, 388, 592, 753, 823, 782, 648, 467, 298, 193, 185, 272, 425, 594, 725, 778, 738, 619, 452, 281, 140, 47, 3, 0, 0, 11, 20, 28, 38, 49, 60, 65, 61, 48, 29, 11, 0, 0, 8, 25, 45, 64, 76, 81, 76, 63, 45, 27, 14, 10, 16, 30, 48, 64, 74, 74, 64, 47, 27, 10, 0, 0, 3, 13, 25, 35, 38, 36, 27, 17, 8, 4, 5, 11, 19, 26, 29, 27, 20, 11, 3, 0, 1, 8, 13, 13, 5, 0, 0, 30, 113, 250, 426, 609, 754, 826, 805, 695, 528, 343, 182, 69, 9, 0, 0, 8, 13, 10, 3, 0, 0, 0, 2, 7, 11, 14, 17, 18, 21, 23, 26, 29, 29, 27, 21, 13, 5, 0, 0, 0, 2, 3, 0, 0, 9, 43, 113, 223, 368, 526, 667, 758, 775, 715, 594, 448, 318, 240, 232, 288, 381, 473, 529, 528, 469, 369, 252, 146, 67, 20, 0, 0, 2, 6, 10, 13, 16, 20, 22, 21, 16, 9, 2, 0, 0, 7, 19, 32, 43, 50, 51, 46, 36, 25, 14, 7, 4, 5, 8, 13, 18, 21, 22, 20, 17, 14, 12, 12, 14, 16, 18, 19, 17, 13, 8, 3, 0, 0, 0, 0, 1, 2, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 11, 17, 22, 23, 21, 15, 9, 4, 3, 6, 10, 12, 8, 0, 0, 3, 43, 123, 241, 383, 523, 629, 677, 653, 564, 432, 287, 159, 66, 14, 0, 0, 4, 10, 11, 10, 10, 10, 12, 12, 11, 7, 3, 0, 0, 0, 1, 3, 3, 0, 0, 4, 33, 97, 203, 347, 511, 664, 774, 811, 764, 643, 477, 302, 154, 55, 6, 0, 0, 5, 7, 10, 30, 80, 165, 278, 399, 502, 564, 572, 530, 458, 388, 351, 370, 451, 576, 711, 815, 853, 809, 690, 521, 342, 185, 74, 13, 0, 0, 9, 18, 21, 20, 19, 21, 26, 34, 42, 47, 48, 43, 35, 25, 16, 12, 13, 19, 27, 32, 32, 27, 21, 16, 17, 25, 38, 52, 63, 67, 65, 56, 43, 28, 14, 3, 0, 0, 6, 18, 30, 36, 33, 21, 11, 16, 52, 130, 250, 396, 545, 664, 727, 718, 641, 513, 363, 220, 108, 36, 2, 0, 0, 5, 7, 6, 4, 3, 4, 4, 4, 3, 1, 1, 4, 7, 11, 13, 12, 9, 5, 2, 0, 0, 0, 0, 0, 0, 4, 10, 17, 23, 25, 23, 17, 10, 4, 0, 0, 0, 1, 3, 4, 5, 5, 4, 3, 2, 2, 2, 4, 7, 10, 11, 12, 10, 7, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 6, 12, 20, 27, 30, 29, 25, 17, 10, 3, 0, 0, 0, 2, 3, 4, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 3, 3, 1, 0, 0, 10, 43, 103, 189, 292, 394, 478, 525, 525, 479, 396, 294, 191, 105, 45, 11, 0, 0, 1, 3, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 3, 8, 13, 17, 18, 15, 10, 5, 1, 0, 1, 4, 6, 6, 5, 2, 0, 0, 0, 0, 0, 2, 9, 28, 68, 136, 238, 369, 515, 655, 763, 818, 810, 746, 647, 546, 473, 450, 477, 541, 613, 665, 676, 643, 577, 502, 442, 417, 435, 488, 559, 625, 665, 666, 627, 560, 487, 430, 409, 428, 480, 546, 600, 623, 610, 566, 510, 466, 452, 474, 525, 588, 639, 660, 639, 577, 485, 379, 277, 189, 124, 80, 54, 39, 31, 28, 29, 33, 41, 51, 60, 68, 71, 70, 66, 59, 54, 50, 49, 50, 53, 56, 58, 60, 61, 61, 60, 57, 52, 47, 42, 40, 42, 48, 55, 62, 66, 65, 60, 53, 46, 41, 38, 38, 37, 35, 33, 35, 47, 75, 124, 196, 290, 396, 503, 594, 654, 669, 637, 559, 449, 326, 209, 114, 49, 12, 0, 0, 6, 27, 67, 131, 222, 333, 452, 562, 645, 688, 690, 656, 600, 540, 490, 459, 448, 450, 455, 453, 439, 409, 364, 308, 246, 184, 126, 78, 42, 19, 9, 7, 10, 14, 18, 21, 24, 26, 29, 32, 32, 31, 28, 24, 21, 20, 20, 23, 26, 29, 31, 32, 32, 32, 32, 32, 32, 33, 35, 37, 39, 40, 39, 36, 30, 23, 15, 8, 4, 2, 2, 4, 6, 8, 9, 10, 10, 8, 5, 2, 0, 0, 2, 7, 12, 16, 21, 31, 52, 93, 158, 248, 353, 462, 557, 623, 653, 643, 604, 547, 487, 438, 409, 401, 410, 430, 451, 464, 465, 454, 433, 411, 392, 381, 377, 376, 373, 361, 338, 302, 256, 204, 152, 105, 66, 36, 17, 7, 3, 3, 4, 5, 6, 8, 10, 15, 20, 27, 32, 35, 36, 36, 36, 36, 36, 35, 34, 31, 27, 21, 16, 12, 9, 9, 10, 12, 15, 19, 23, 27, 31, 35, 38, 38, 36, 29, 22, 17, 17, 25, 44, 72, 107, 145, 185, 225, 263, 297, 324, 340, 340, 325, 293, 249, 199, 148, 102, 65, 37, 18, 7, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 5, 13, 23, 36, 50, 69, 96, 133, 184, 244, 308, 368, 418, 453, 474, 486, 493, 499, 507, 514, 518, 514, 500, 477, 446, 411, 375, 340, 304, 267, 226, 183, 140, 99, 66, 43, 30, 24, 22, 19, 15, 8, 2, 0, 1, 8, 18, 26, 31, 31, 27, 20, 13, 9, 8, 10, 12, 13, 13, 10, 8, 7, 9, 13, 20, 27, 35, 44, 57, 74, 97, 125, 158, 194, 231, 267, 299, 326, 345, 357, 362, 363, 362, 362, 362, 361, 360, 357, 353, 348, 343, 340, 337, 336, 335, 335, 335, 335, 334, 331, 329, 327, 328, 333, 340, 350, 357, 360, 356, 344, 325, 303, 279, 257, 237, 221, 208, 198, 191, 185, 178, 171, 161, 152, 147, 148, 157, 175, 199, 225, 249, 267, 277, 282, 283, 282, 281, 277, 270, 257, 238, 215, 191, 169, 153, 141, 134, 129, 127, 127, 132, 142, 159, 180, 201, 218, 228, 233, 233, 233, 234, 237, 239, 237, 228, 212, 191, 168, 148, 131, 117, 105, 93, 81, 69, 57, 47, 38, 30, 22, 15, 8, 2, 0, 0, 2, 7, 14, 20, 24, 27, 27, 25, 22, 18, 14, 11, 7, 5, 4, 4, 6, 9, 12, 13, 13, 10, 5, 1, 0, 0, 4, 13, 23, 33, 42, 48, 53, 57, 61, 66, 73, 81, 89, 97, 105, 113, 119, 123, 126, 126, 124, 122, 119, 117, 115, 111, 107, 101, 95, 90, 86, 83, 78, 70, 59, 46, 32, 19, 10, 5, 3, 3, 3, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0],
"basecallPos": [39, 51, 63, 75, 88, 100, 113, 124, 137, 151, 160, 172, 184, 197, 209, 222, 234, 246, 258, 269, 282, 294, 305, 317, 329, 342, 353, 367, 379, 392, 404, 416, 427, 439, 451, 464, 476, 488, 500, 512, 524, 536, 548, 560, 573, 585, 597, 609, 621, 633, 645, 658, 670, 682, 695, 707, 719, 731, 744, 756, 768, 779, 791, 802, 815, 827, 839, 852, 864, 877, 889, 902, 914, 926, 937, 948, 960, 973, 985, 998, 1009, 1022, 1034, 1047, 1059, 1071, 1084, 1096, 1107, 1120, 1131, 1142, 1154, 1167, 1179, 1191, 1202, 1215, 1227, 1238, 1249, 1261, 1274, 1286, 1298, 1309, 1322, 1334, 1347, 1359, 1371, 1382, 1393, 1405, 1417, 1428, 1439, 1452, 1464, 1476, 1489, 1500, 1512, 1523, 1535, 1548, 1559, 1571, 1583, 1595, 1608, 1620, 1631, 1643, 1656, 1668, 1680, 1691, 1703, 1714, 1725, 1738, 1750, 1763, 1774, 1788, 1800, 1812, 1823, 1835, 1847, 1859, 1872, 1884, 1896, 1909, 1922, 1933, 1944, 1956, 1967, 1979, 1991, 2003, 2016, 2028, 2039, 2051, 2064, 2076, 2087, 2098, 2110, 2122, 2134, 2146, 2158, 2170, 2182, 2194, 2207, 2219, 2230, 2243, 2255, 2267, 2279, 2291, 2303, 2316, 2328, 2340, 2352, 2364, 2376, 2388, 2400, 2411, 2424, 2436, 2448, 2461, 2473, 2485, 2497, 2510, 2522, 2532, 2544, 2555, 2567, 2580, 2593, 2605, 2618, 2629, 2641, 2651, 2663, 2675, 2687, 2700, 2713, 2725, 2736, 2747, 2757, 2769, 2780, 2792, 2804, 2817, 2829, 2841, 2853, 2865, 2877, 2888, 2901, 2912, 2924, 2936, 2949, 2961, 2972, 2985, 2998, 3010, 3022, 3034, 3045, 3057, 3067, 3079, 3090, 3102, 3114, 3125, 3137, 3150, 3162, 3173, 3186, 3198, 3210, 3222, 3235, 3246, 3257, 3268, 3280, 3292, 3304, 3316, 3329, 3340, 3353, 3366, 3378, 3391, 3402, 3413, 3423, 3435, 3448, 3458, 3470, 3483, 3495, 3507, 3519, 3531, 3543, 3554, 3567, 3578, 3590, 3602, 3615, 3626, 3639, 3651, 3662, 3674, 3687, 3699, 3710, 3723, 3732, 3745, 3758, 3770, 3783, 3795, 3807, 3819, 3831, 3842, 3854, 3866, 3877, 3888, 3902, 3912, 3923, 3935, 3947, 3959, 3969, 3980, 3991, 4003, 4015, 4028, 4040, 4053, 4064, 4076, 4089, 4101, 4114, 4126, 4137, 4148, 4159, 4171, 4181, 4193, 4205, 4218, 4229, 4240, 4253, 4265, 4277, 4288, 4299, 4311, 4324, 4336, 4347, 4357, 4369, 4381, 4393, 4406, 4419, 4431, 4442, 4454, 4465, 4475, 4487, 4499, 4510, 4523, 4535, 4547, 4559, 4571, 4583, 4596, 4608, 4619, 4632, 4643, 4656, 4668, 4679, 4691, 4704, 4717, 4729, 4743, 4755, 4768, 4780, 4791, 4801, 4811, 4823, 4834, 4845, 4858, 4871, 4883, 4895, 4907, 4918, 4927, 4938, 4950, 4963, 4975, 4988, 4998, 5009, 5021, 5032, 5045, 5055, 5066, 5078, 5091, 5103, 5116, 5128, 5141, 5151, 5163, 5174, 5188, 5197, 5208, 5218, 5230, 5243, 5255, 5268, 5280, 5290, 5301, 5313],
"basecalls": {"39":"1:T", "51":"2:G", "63":"3:G", "75":"4:T", "88":"5:T", "100":"6:T", "113":"7:T", "124":"8:G", "137":"9:T", "151":"10:G", "160":"11:T", "172":"12:C", "184":"13:A", "197":"14:G", "209":"15:C", "222":"16:G", "234":"17:T", "246":"18:G", "258":"19:T|C", "269":"20:A", "282":"21:A", "294":"22:T", "305":"23:G", "317":"24:A", "329":"25:C", "342":"26:T", "353":"27:T", "367":"28:C", "379":"29:A", "392":"30:G", "404":"31:T", "416":"32:G", "427":"33:T", "439":"34:G", "451":"35:C", "464":"36:G", "476":"37:C", "488":"38:T", "500":"39:T", "512":"40:G", "524":"41:C", "536":"42:T", "548":"43:G", "560":"44:C", "573":"45:G", "585":"46:G", "597":"47:G", "609":"48:A", "621":"49:C", "633":"50:A", "645":"51:C", "658":"52:A", "670":"53:A", "682":"54:C", "695":"55:A", "707":"56:C", "719":"57:A", "731":"58:C", "744":"59:A", "756":"60:T", "768":"61:T", "779":"62:A", "791":"63:G", "802":"64:T", "815":"65:C", "827":"66:A", "839":"67:A", "852":"68:G", "864":"69:A", "877":"70:G", "889":"71:G", "902":"72:C", "914":"73:T", "926":"74:A", "937":"75:T", "948":"76:G", "960":"77:C", "973":"78:C", "985":"79:A", "998":"80:C", "1009":"81:A", "1022":"82:A", "1034":"83:G", "1047":"84:G", "1059":"85:A", "1071":"86:A", "1084":"87:T", "1096":"88:T", "1107":"89:G", "1120":"90:G", "1131":"91:T", "1142":"92:G", "1154":"93:A", "1167":"94:C", "1179":"95:A", "1191":"96:T", "1202":"97:G", "1215":"98:A", "1227":"99:T", "1238":"100:T", "1249":"101:G", "1261":"102:A", "1274":"103:G", "1286":"104:G", "1298":"105:G", "1309":"106:G", "1322":"107:G", "1334":"108:C", "1347":"109:C", "1359":"110:G", "1371":"111:T", "1382":"112:T", "1393":"113:G", "1405":"114:A", "1417":"115:A", "1428":"-", "1439":"-", "1452":"116:G", "1464":"117:G", "1476":"118:G", "1489":"119:A", "1500":"120:T", "1512":"121:T", "1523":"122:A", "1535":"123:C", "1548":"124:T", "1559":"125:A", "1571":"126:A", "1583":"127:A", "1595":"128:A", "1608":"129:A", "1620":"130:T", "1631":"131:G", "1643":"132:C", "1656":"133:A", "1668":"134:T", "1680":"135:T", "1691":"136:G", "1703":"137:G", "1714":"138:T", "1725":"139:T", "1738":"140:C", "1750":"141:C", "1763":"142:C", "1774":"143:C", "1788":"144:C", "1800":"145:G", "1812":"146:A", "1823":"147:C", "1835":"148:C", "1847":"149:T", "1859":"150:C", "1872":"151:C", "1884":"152:A", "1896":"153:C", "1909":"154:C", "1922":"155:A", "1933":"-", "1944":"-", "1956":"156:A", "1967":"157:T", "1979":"158:A", "1991":"159:G", "2003":"160:C", "2016":"161:C", "2028":"162:T", "2039":"163:G", "2051":"164:C", "2064":"165:C", "2076":"166:T", "2087":"167:G", "2098":"168:A", "2110":"169:C", "2122":"170:A", "2134":"171:C", "2146":"172:A", "2158":"173:A", "2170":"174:A", "2182":"175:G", "2194":"176:C", "2207":"177:C", "2219":"178:G", "2230":"179:A", "2243":"180:G", "2255":"181:C", "2267":"182:G", "2279":"183:G", "2291":"184:C", "2303":"185:C", "2316":"186:C", "2328":"187:A", "2340":"188:G", "2352":"189:C", "2364":"190:C", "2376":"191:C", "2388":"192:A", "2400":"193:C", "2411":"194:T", "2424":"195:C", "2436":"196:C", "2448":"197:A", "2461":"198:A", "2473":"199:G", "2485":"200:G", "2497":"201:A", "2510":"202:G", "2522":"203:A", "2532":"204:T", "2544":"205:A", "2555":"206:C", "2567":"207:C", "2580":"208:C", "2593":"209:G", "2605":"210:C", "2618":"211:A", "2629":"212:T", "2641":"213:T", "2651":"214:G", "2663":"215:A", "2675":"216:C", "2687":"217:A", "2700":"218:G", "2713":"219:C", "2725":"220:T", "2736":"221:G", "2747":"222:T", "2757":"223:G", "2769":"224:G", "2780":"225:A", "2792":"226:G", "2804":"227:A", "2817":"228:C", "2829":"229:A", "2841":"230:G", "2853":"231:G", "2865":"232:G", "2877":"233:G", "2888":"234:C", "2901":"235:T", "2912":"236:A", "2924":"237:C", "2936":"238:C", "2949":"239:A", "2961":"240:A", "2972":"241:T", "2985":"242:C", "2998":"243:C", "3010":"244:G", "3022":"245:T", "3034":"246:T", "3045":"247:G", "3057":"248:G", "3067":"249:T", "3079":"250:G", "3090":"251:C", "3102":"252:C", "3114":"253:T", "3125":"254:T", "3137":"255:C", "3150":"256:G", "3162":"257:G", "3173":"258:A", "3186":"259:C", "3198":"260:A", "3210":"261:C", "3222":"262:C", "3235":"263:G", "3246":"264:T", "3257":"265:G", "3268":"266:C", "3280":"267:A", "3292":"268:A", "3304":"269:A", "3316":"270:C", "3329":"271:G", "3340":"272:C", "3353":"273:G", "3366":"274:C", "3378":"275:C", "3391":"276:A", "3402":"277:T", "3413":"278:G", "3423":"279:T", "3435":"280:C", "3448":"281:A", "3458":"282:T", "3470":"283:C", "3483":"284:C", "3495":"285:A", "3507":"286:G", "3519":"287:A", "3531":"288:G", "3543":"289:A", "3554":"290:C", "3567":"291:G", "3578":"292:A", "3590":"293:A", "3602":"294:C", "3615":"295:G", "3626":"296:C", "3639":"297:G", "3651":"298:A", "3662":"299:T", "3674":"300:C", "3687":"301:A", "3699":"302:G", "3710":"303:A", "3723":"304:A", "3732":"305:T", "3745":"306:C", "3758":"307:C", "3770":"308:A", "3783":"309:C", "3795":"310:A", "3807":"311:G", "3819":"312:T", "3831":"313:T", "3842":"314:G", "3854":"315:A", "3866":"316:G", "3877":"317:T", "3888":"318:C", "3902":"319:A", "3912":"320:T", "3923":"321:T", "3935":"322:C", "3947":"323:T", "3959":"324:T", "3969":"325:T", "3980":"326:G", "3991":"327:C", "4003":"328:A", "4015":"329:A", "4028":"330:G", "4040":"331:A", "4053":"332:G", "4064":"333:G", "4076":"334:G", "4089":"335:G", "4101":"336:C", "4114":"337:T", "4126":"338:T", "4137":"339:G", "4148":"340:T", "4159":"341:G", "4171":"342:T", "4181":"343:G", "4193":"344:G", "4205":"345:C", "4218":"346:T", "4229":"347:A", "4240":"348:T", "4253":"349:C", "4265":"350:A", "4277":"351:T", "4288":"352:T", "4299":"353:G", "4311":"354:A", "4324":"355:G", "4336":"356:G", "4347":"357:T", "4357":"358:G", "4369":"359:G", "4381":"360:A", "4393":"361:C", "4406":"362:A", "4419":"363:A", "4431":"364:T", "4442":"365:G", "4454":"366:A", "4465":"367:T", "4475":"368:G", "4487":"369:C", "4499":"370:A", "4510":"371:C", "4523":"372:C", "4535":"373:G", "4547":"374:A", "4559":"375:C", "4571":"376:A", "4583":"377:A", "4596":"378:A", "4608":"379:G", "4619":"380:C", "4632":"381:G", "4643":"382:C", "4656":"383:A", "4668":"384:C", "4679":"-", "4691":"385:C", "4704":"386:A", "4717":"387:G", "4729":"388:C", "4743":"389:A", "4755":"390:G", "4768":"391:A", "4780":"392:T", "4791":"393:T", "4801":"394:G", "4811":"395:T", "4823":"396:T", "4834":"397:T", "4845":"398:T", "4858":"399:C", "4871":"400:G", "4883":"401:G", "4895":"402:T", "4907":"403:T", "4918":"404:T", "4927":"405:G", "4938":"406:G", "4950":"407:A", "4963":"408:A", "4975":"409:A", "4988":"410:A", "4998":"411:T", "5009":"412:A", "5021":"413:A", "5032":"414:C", "5045":"415:T", "5055":"416:T", "5066":"417:A", "5078":"418:C", "5091":"419:A", "5103":"420:A", "5116":"421:A", "5128":"422:G", "5141":"423:A", "5151":"424:T", "5163":"425:A", "5174":"426:C", "5188":"427:T", "5197":"428:G", "5208":"429:T", "5218":"430:T", "5230":"431:C", "5243":"432:A", "5255":"433:A", "5268":"434:C", "5280":"435:T", "5290":"436:G", "5301":"437:A", "5313":"438:G"}
}
]
}