view test-data/0343/poliovirus3sabin.json @ 0:7e49c6b19f5e draft

planemo upload commit a99e10fec2fac5aae70974c977eb3b362a1a8429
author sanbi-uwc
date Tue, 19 Jul 2022 11:47:08 +0000
parents
children
line wrap: on
line source

{
"gapFreeConsensus": "CATGATTGAGGGGGCCGTTGAAGGGATTACTAAAAATGCATTGATTCCCCCGACTCCCACCAATAGCCTGCCCGACACGAAGCCGAGCGGTCCAGCCCATTCCAAGGAGATACCTGCATTGACAGCCGTGGAGACAGGGGCTACCAATCCGTTGGTGCCTTCGGACACCGTGCAAACGCGCCATGTCATCCAGAGACGGACGCGATCAGAGTCCACGGTTGAGTCATTCTTTGCAAGAGGGGCTTGTGTGGCTATCATTGAGGTGGACAATGATGCACCGACAAAGCGCGCCAGCAGATTGTTTTCGGTTTGGAAAATAACTTACAAAGATACTGTTCAACTGAGACGCAAACTGGAATTTTTCACATATTCGAGATTTGACATGGAGTTCACTTTTGTGGTCACCTCAAACTACACTGATGCAAATAACGGACATGCATTGAACCAAGTTTATCAGATAATGTATATACCACCCGGAGCACCTATCCCTGGTAAATGGAATGATTACACGTGGCAGACGTCCTCTAACCCGTCGGTGTTTTACACCTATGGGGCGCCCCCAGCAAGAATATCAGTGCCCTACGTGGGAATTGCTAATGCGTATTCCCACTTTTATGATGGGTTTGCAAAAGTACCACTAGCGGGTCAAGCCTCAACTGAAGGCGATTCGTTGTACGGTGCTGCCTCACTGAATGATTTTGGATCACTGGCTGTCCGCGTGGTAAATGACCACAACCCCACGCGGCTCACCTCCAAGATCAGAGTGTACATGAAGCCAAAGCATGTCAGAGTCTGGTGCCCACGACCTCCACGAGCAGTCCCATACTTCGGACCAGGTGTTGATTATAAAGATGGGCTCACCCCACTACCAGAAAAGGGACTAACGACTTATGGATTTGGACACCAAAACAAAGCTGTGTACACAGCTGGCTACAAAATTTGCAATTACCACCTAGCTACACAAGAAGACTTGCAAAATGCCGTGAGTGTCATGT",
"gappedConsensus": "------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------CATGATTGAGGGGGCCGTTGAAGGGATTACTAAAAATGCATTGATTCCCCCGACTCCCACCAATAGCCTGCCCGACACGAAGCCGAGCGGTCCAGCCCATTCCAAGGAGATACCTGCATTGACAGCCGTGGAGACAGGGGCTACCAATCCGTTGGTGCCTTCGGACACCGTGCAAACGCGCCATGTCATCCAGAGACGGACGCGATCAGAGTCCACGGTTGAGTCATTCTTTGCAAGAGGGGCTTGTGTGGCTATCATTGAGGTGGACAATGATGCACCGACAAAGCGCGC-CAGCAGATTGTTTTCGGTTTGGAAAATAACTTACAAAGATACTGTTCAACTGAGACGCAAACTGGAATTTTTCACATATTCGAGATTTGACATGGAGTTCACTTTTGTGGTCACCTCAAACTACACTGATGCAAATAACGGACATGCATTGAACCAAGTTTATCAGATAATGTATATACCACCCGGAGCACCTATCCCTGGTAAATGGAATGATTACACGTGGCAGACGTCCTCTAACCCGTCGGTGTTTTACACCTATGGGGCGCCCCCAGCAAGAATATCAGTGCCCTACGTGGGAATTGCTAATGCGTATTCCCACTTTTATGATGGGTTTGCAAAAGTACCACTAGCGGGTCAAGCC--TCAACTGAA-GGCGATTCGTTGTACGGTGCTGCCTCACTGAATGATTTTGGATCACTGGCTGTCCGCGTGGTAAATGACCACAACCCCACGCGGCTCACCTCCAAGATCAGAGTGTACATGAAGCCAAAGCATGTCAGAGTCTGGTGCCCACGACCTCCACGAGCAGTCCCATACTTCGGACCAGGTGTTGATTATAAAGATGGGCTCACCCCACTACCAGAAAAGGGACTAACGACTTATGGATTTGGACACCAAAACAAAGCTGTGTACACAGCTGGCTACAAAATTTGCAATTACCACCTAGCTACACAAGAAGACTTGCAAAATGCCGTGAGTGTCATGT-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------",
"msa": 
[
{
"reference": false,
"forward": false,
"traceFileName": "dataset_152163",
"leadingGaps": "2600",
"trailingGaps": "4025",
"align": "TACCTGCATTGACAGCCGTGGAGACAGGGGCTACCAATCCGTTGGTGCCTTCGGACACCGTGCAAACGCGCCATGTCATCCAGAGACGGACGCGATCAGAGTCCACGGTTGAGTCATTCTTTGCAAGAGGGGCTTGTGTGGCTATCATTGAGGTGGACAATGATGCACCGACAAAGCGCGC-CAGCAGATTGTTTTCGGTTTGGAAAATAACTTACAAAGATACTGTTCAACTGAGACGCAAACTGGAATTTTTCACATATTCGAGATTTGACATGGAGTTCACTTTTGTGGTCACCTCAAACTACACTGATGCAAATAACGGACATGCATTGAACCAAGTTTATCAGATAATGTATATACCACCCGGAGCACCTATCCCTGGTAAATGGAATGATTACACGTGGCAGACGTCCTCTAACCCGTCGGTGTTTTACACCTATGGGGCGCCCCCAGCAAGAATATCAGTGCCCTACGTGGGAATTGCTAATGCGTATTCCCACTTTTATGATGGGTTTGCAAAAGTACCACTAGCGGGTCAAGCC--TCAACTGAA-GGCGATTCGTTGTACGGTGCTGCCTCACTGAATGATTTTGGATCACTGGCTGTCCGCGTGGTAAATGACCACAACCCCACGCGGCTCACCTCCAAGATCAGAGTGTACATGAAGCCAAAGCATGTCAGAGTCTGGTGCCCACGACCTCCACGAGCAGTCCCATACTTCGGACCAGGTGTTGATTATAAAGATGGGCTCACCCCACTACCAGAAAAGGGACTAACGACTTATGGATTTGGACACCAAAACAAAGCTGTGTACA"
}
,
{
"reference": false,
"forward": true,
"traceFileName": "dataset_152166",
"leadingGaps": "2490",
"trailingGaps": "4119",
"align": "CATGATTGAGGGGGCCGTTGAAGGGATTACTAAAAATGCATTGATTCCCCCGACTCCCACCAATAGCCTGCCCGACACGAAGCCGAGCGGTCCAGCCCATTCCAAGGAGATACCTGCATTGACAGCCGTGGAGACAGGGGCTACCAATCCGTTGGTGCCTTCGGACACCGTGCAAACGCGCCATGTCATCCAGAGACGGACGCGATCAGAGTCCACGGTTGAGTCATTCTTTGCAAGAGGGGCTTGTGTGGCTATCATTGAGGTGGACAATGATGCACCGACAAAGCGCGC-CAGCAGATTGTTTTCGGTTTGGAAAATAACTTACAAAGATACTGTTCAACTGAGACGCAAACTGGAATTTTTCACATATTCGAGATTTGACATGGAGTTCACTTTTGTGGTCACCTCAAACTACACTGATGCAAATAACGGACATGCATTGAACCAAGTTTATCAGATAATGTATATACCACCCGGAGCACCTATCCCTGGTAAATGGAATGATTACACGTGGCAGACGTCCTCTAACCCGTCGGTGTTTTACACCTATGGGGCGCCCCCAGCAAGAATATCAGTGCCCTACGTGGGAATTGCTAATGCGTATTCCCACTTTTATGATGGGTTTGCAAAAGTACCACTAGCGGGTCAAGCC--TCAACTGAA-GGCGATTCGTTGTACGGTGCTGCCTCACTGAATGATTTTGGATCACTGGCTGTCCGCGTGGTAAATGACCACAACCCCACGCGGCTCACCTCCAAGATCAGAGTGTACATGAAGCCAAAGCATGTCAGAGTCTGGTGCCCACGACCTCCACGAGCAGTCCCATACTTC"
}
,
{
"reference": false,
"forward": true,
"traceFileName": "dataset_152164",
"leadingGaps": "2922",
"trailingGaps": "3953",
"align": "GACATGCATTGAACCAAGTTTATCAGATAATGTATATACCACCCGGAGCACCTATCCCTGGTAAATGGAATGATTACACGTGGCAGACGTCCTCTAACCCGTCGGTGTTTTACACCTATGGGGCGCCCCCAGCAAGAATATCAGTGCCCTACGTGGGAATTGCTAATGCGTATTCCCACTTTTATGATGGGTTTGCAAAAGTACCACTAGCGGGTCAAGCC--TCAACTGAA-GGCGATTCGTTGTACGGTGCTGCCTCACTGAATGATTTTGGATCACTGGCTGTCCGCGTGGTAAATGACCACAACCCCACGCGGCTCACCTCCAAGATCAGAGTGTACATGAAGCCAAAGCATGTCAGAGTCTGGTGCCCACGACCTCCACGAGCAGTCCCATACTTCGGACCAGGTGTTGATTATAAAGATGGGCTCACCCCACTACCAGAAAAGGGACTAACGACTTATGGATTTGGACACCAAAACAAAGCTGTGTACACAGCTGGCTACAAAATTTGCAATTACCACCTAGCTACACAAGAAGACTTGCAAAATGCCGTGAGTGTCATGT"
}
,
{
"reference": true,
"forward": true,
"traceFileName": "",
"leadingGaps": "0",
"trailingGaps": "0",
"align": "TTAAAACAGCTCTGGGGTTGTTCCCACCCCAGAGGCCCACGTGGCGGCTAGTACACTGGTATCACGGTACCTTTGTACGCCTGTTTTATACTCCCTCCCCCGCAACTTAGAAGCATACAATTCAAGCTCAATAGGAGGGGGTGCAAGCCAGCGCCTCCGTGGGCAAGCACTACTGTTTCCCCGGTGAGGCCGCATAGACTGTTCCCACGGTTGAAAGTGTCCGATCCGTTATCCGCTCATGTACTTCGAGAAGCCTAGTATCGCTCTGGAATCTTCGACGCGTTGCGCTCAGCACTCAACCCCGGAGTGTAGCTTGGGCCGATGAGTCTGGACAGTCCCCACTGGCGACAGTGGTCCAGGCTGCGCTGGCGGCCCACCTGTGGCCCAAAGCCACGGGACGCTAGTTGTGAACAGGGTGTGAAGAGCCTATTGAGCTACATGAGAGTCCTCCGGCCCCTGAATGCGGCTAATTCTAACCATGGAGCAGGCAGCTGCAACCCAGCAGCCAGCCTGTCGTAACGCGCAAGTCCGTGGCGGAACCGACTACTTTGGGTGTCCGTGTTTCCTTTTATTCTTGAATGGCTGCTTATGGTGACAATCATAGATTGTTATCATAAAGCGAGTTGGATTGGCCATCCAGTGTGAATCAGATTAATTACTCCCTTGTTTGTTGGATCCACTCCCGAAACGTTTTACTCCTTAACTTATTGAAATTGTTTGAAGACAGGATTTCAGTGTCACAATGGGAGCTCAAGTATCATCCCAAAAAGTAGGCGCTCACGAGAATTCTAACCGAGCCTACGGTGGTTCTACGATCAACTACACCACAATTAATTATTATAAAGATTCCGCAAGTAATGCGGCGTCCAAACAAGATTACTCACAGGATCCATCAAAATTCACCGAGCCACTAAAGGACGTGCTCATAAAAACAGCTCCAGCACTCAATTCACCAAATGTGGAAGCGTGTGGGTATAGTGATAGAGTGTTGCAACTCACTTTAGGCAATTCCACTATTACTACACAGGAGGCAGCAAATTCAGTAGTGGCTTACGGACGTTGGCCTGAGTTTATTAGAGATGACGAAGCAAACCCGGTGGACCAACCAACTGAACCAGATGTGGCTACATGCAGATTCTACACACTAGACACTGTAATGTGGGGTAAGGAGTCGAAAGGCTGGTGGTGGAAGTTACCTGACGCACTGAGAGACATGGGTCTGTTTGGACAAAACATGTATTACCACTACCTAGGAAGATCCGGGTACACTGTGCACGTGCAGTGTAATGCATCCAAATTTCACCAAGGTGCACTCGGGGTGTTTGCGATTCCTGAGTATTGTCTGGCGGGTGACAGTGACAAGCAAAGGTACACTAGTTATGCAAATGCGAATCCAGGTGAAAGAGGGGGAAAATTTTACTCCCAATTCAACAAGGATAACGCAGTAACATCCCCAAAAAGAGAGTTCTGCCCAGTGGATTATCTCCTGGGATGTGGGGTGTTACTGGGAAATGCCTTTGTATACCCACATCAAATCATTAATCTGAGGACCAACAACAGCGCAACTATTGTCCTACCATATGTGAATGCTTTGGCCATTGATTCAATGGTTAAACACAACAACTGGGGCATTGCCATTCTGCCCTTATCACCGCTGGATTTTGCTCAAGATTCATCAGTTGAAATTCCAATTACTGTGACAATTGCCCCAATGTGTAGCGAGTTCAACGGCCTTCGCAACGTGACTGCACCTAAATTTCAAGGACTACCAGTGTTGAACACTCCTGGTAGTAACCAGTACCTGACGTCAGACAACCACCAATCACCATGCGCAATCCCAGAATTTGATGTCACTCCGCCTATTGATATCCCAGGTGAGGTTAAAAACATGATGGAGCTCGCCGAGATAGACACCATGATTCCTCTCAATTTGGAGAGCACCAAGAGAAACACAATGGACATGTACAGAGTTACTCTGAGCGACAGTGCCGATCTATCGCAACCAATTTTGTGCTTGTCACTATCCCCAGCATTTGATCCGCGCTTGTCACACACCATGCTTGGGGAAGTACTGAACTATTATACTCATTGGGCCGGGTCCTTGAAATTTACCTTCCTGTTCTGTGGTTCAATGATGGCTACGGGGAAAATCCTAGTGGCCTATGCACCACCAGGTGCACAACCCCCCACCAGCCGTAAGGAGGCTATGTTGGGCACACATGTCATTTGGGATCTTGGCCTGCAATCATCTTGTACTATGGTGGTGCCGTGGATTAGTAATGTGACATACAGACAGACTACACAAGATAGTTTCACTGAGGGCGGATATATCAGCATGTTCTACCAAACAAGAATTGTGGTGCCACTGTCCACCCCTAAGAGTATGAGCATGCTGGGGTTTGTGTCAGCCTGTAATGATTTCAGTGTGCGATTGCTGCGAGACACCACTCACATTTCACAATCTGCGCTTCCACAGGGTATTGAAGATTTGATTTCTGAAGTTGCAC----AGGGCGCCCTAA-----CTTTGTCACTCCCGAAGCAACAGGATAGCTTACCTGATACTAAGGCCAGTGGCCCGGCGCATTCCAAGGAGGTACCTGCACTCACTGCAGTCGAGACTGGAGCCACCAATCCTCTGGCACCATCCGACACAGTTCAAACGCGCCACGTAGTCCAACGACGCAGCAGGTCAGAGTCCACAATAGAATCATTCTTCGCACGCGGGGCGTGCGTCGCTATTATTGAGGTGGACAATGAACAACCAACCACCCGGGCACAGAA-ACTATTTGCCATGTGGCGCATTACATACAAAGATACAGTGCAGTTGCGCCGTAAGTTGGAGTTTTTCACATACTCTCGTTTTGACATGGAATTCACCTTCGTGGTAACCGCCAACTTCACCAACGCTAATAATGGGCATGCACTCAACCAGGTGTACCAGATAATGTACATCCCCCCAGGGGCACCCACACCAAAGTCATGGGACGACTACACTTGGCAAACATCTTCCAACCCGTCCATATTTTACACCTATGGGGCTGCCCCGGCGCGAATCTCAGTGCCATACGTGGGGTTAGCCAATGCTTACTCGCACTTTTACGACGGCTTCGCCAAGGTGCCATTGAAGACAGATGCCAATGACCAGATTGGTGATTCCTTGTACAGCGCCATGACAGTTGATGACTTTGGTGTATTGGCAGTTCGTGTTGTCAATGATCACAACCCCACTAAAGTAACCTCCAAAGTCCGCATTTACATGAAACCCAAACACGTACGTGTCTGGTGCCCTAGACCGCCGCGCGCGGTACCTTATTATGGACCAGGGGTGGACTATAGGAACAACTTGGACCCCTTATCTGAGAAAGGTTTGACCACATATGGCTTTGGGCATCAGAATAAAGCTGTGTACACTGCTGGTTACAAGATCTGCAACTACCATCTCGCCACTAAGGAGGATTTACAAAATGCTGTAAGCATCATGTGGAATAGAGACCTCTTGGTTGTTGAATCAAAAGCTCAAGGTACCGACTCAATAGCAAGGTGCAATTGCAATGCAGGGGTGTACTATTGTGAGTCCAGAAGGAAATACTACCCTGTGTCGTTTGTGGGACCCACCTTCCAATACATGGAGGCTAATGACTACTACCCAGCTAGATACCAATCCCACATGTTAATCGGGCACGGCTTTGCCTCACCAGGTGACTGTGGTGGTATCCTTAGGTGTCAACATGGCGTCATCGGAATCGTGACAGCTGGTGGAGAGGGATTAGTCGCATTCTCTGACATAAGGGACTTGTATGCTTACGAGGAAGAGGCCATGGAGCAGGGCATTTCAAACTATATTGAGTCACTCGGTGCTGCGTTCGGTAGTGGGTTCACTCAGCAAATAGGGGATAAGATATCAGAACTAACCAGCATGGTGACCAGCACGATTACAGAGAAGCTACTTAAAAACCTAATCAAAATTATTTCATCTCTGGTGATTATCACTAGAAATTACGAAGATACCACCACAGTGCTCGCCACTCTAGCTCTTCTTGGGTGTGATGTTTCACCGTGGCAATGGCTGAAGAAGAAAGCATGTGACACTTTGGAGATTCCCTATGTTATTAGACAGGGTGATAGTTGGTTGAAAAAATTTACTGAGGCGTGCAACGCAGCTAAGGGGTTGGAATGGGTGTCCAACAAAATCTCAAAATTTATTGACTGGTTGAGAGAAAGAATCATCCCACAAGCCAGGGACAAGCTTGAGTTTGTAACCAAATTGAAACAGTTGGAAATGCTAGAGAATCAGATATCCACAATACACCAATCTTGTCCAAGTCAGGAACACCAGGAAATTTTGTTCAACAATGTACGCTGGTTGTCCATTCAATCCAAGAGATTCGCTCCATTGTACGCACTTGAGGCCAAGAGAATACAAAAGTTGGAACACACCATTAATAATTACATACAGTTCAAGAGCAAACACCGTATTGAGCCAGTATGTTTGTTAGTGCATGGGAGCCCAGGTACAGGAAAATCAGTTGCGACTAACCTAATTGCTAGAGCCATAGCTGAGAAAGAGAACACCTCCACCTACTCGCTACCACCGGACCCGTCTCACTTTGATGGATACAAACAACAAGGTGTGGTTATCATGGACGACCTAAACCAAAACCCGGATGGGGCAGATATGAAGCTCTTTTGTCAAATGGTGTCCACTGTGGAGTTTATCCCACCTATGGCCTCGCTGGAAGAGAAAGGCATTCTGTTCACATCCAACTATGTTTTAGCCTCCACCAACTCCAGTCGCATCACACCACCTACAGTAGCCCACAGTGACGCTCTGGCCAGGAGGTTCGCTTTCGATATGGATATTCAAGTGATGGGCGAGTACTCCAGAGATGGTAAACTCAACATGGCAATGGCTACTGAGACGTGCAAGGACTGCCACCAACCAGCAAACTTCAAAAGATGCTGTCCTTTAGTGTGTGGTAAGGCAATTCAGTTAATGGACAAATCTTCCAGAGTTAGGTACAGTGTTGACCAGATTACTACAATGATTATCAACGAGAGAAACAGAAGATCTAACATTGGCAATTGCATGGAGGCTTTGTTCCAAGGACCACTCCAGTACAAAGACCTGAAAATTGACATCAAGACGAGGCCCCCCCCTGAATGCATCAATGATCTGCTTCAAGCAGTTGACTCCCAGGAAGTGAGGGATTATTGTGAAAAGAAAGGATGGATCGTCAACATCACTAGCCAAGTTCAAACAGAGAGAAACATTAACCGAGCAATGACCATTTTGCAGGCAGTGACAACTTTCGCCGCAGTGGCTGGTGTCGTGTACGTCATGTACAAGTTATTCGCTGGACACCAGGGAGCATACACTGGTCTGCCAAACAAAAGACCCAATGTGCCCACCATTAGAGCAGCAAAAGTGCAAGGGCCTGGGTTTGACTATGCAGTGGCTATGGCTAAAAGAAACATTGTTACAGCAACTACTAGCAAAGGGGAGTTCACAATGCTAGGAGTCCACGACAACGTGGCCATTTTACCAACTCATGCCTCACCTGGTGAGAGTATTGTAATTGATGGCAAAGAGGTTGAAATCCTAGACGCTAAAGCCCTCGAAGATCAGGCAGGCACTAATCTGGAAATCACCATAATAACCCTCAAAAGAAATGAAAAGTTCAGAGATATCAGACAACACATACCCACTCAAATCACCGAGACGAATGATGGAGTTCTGATTGTGAACACTAGTAAGTACCCCAACATGTATGTTCCTGTCGGTGCTGTGACTGAGCAGGGATACCTAAATCTCGGTGGGCGCCAGACTGCTCGTATTCTAATGTACAACTTTCCAACCAGAGCTGGTCAGTGTGGTGGAGTCATCACATGCACTGGGAAAGTCATCGGGATGCACGTTGGTGGGAATGGTTCACATGGGTTTGCAGCGGCCCTGAAGCGGTCATACTTCACTCAGAGCCAAGGTGAAATCCAGTGGATGAGACCATCAAAGGAGGCAGGGTATCCAATTATAAACGCCCCAACCAAGACCAAGCTCGAGCCCAGCGCTTTCCACTATGTGTTTGAAGGAGTAAAGGAACCAGCAGTCCTCACAAAGAATGATCCCAGACTCAAAACAGACTTTGAAGAAGCAATCTTCTCTAAGTATGTAGGGAACAAGATCACTGAGGTGGATGAGTACATGAAAGAGGCAGTGGACCATTATGCTGGACAACTTATGTCGCTGGATATCAGCACAGAGCAAATGTGTCTAGAAGACGCCATGTATGGTACTGATGGTCTGGAGGCGCTAGATCTGTCTACCAGTGCCGGGTACCCCTACGTGGCAATGGGGAAGAAGAAGAGAGATATCCTAAACAAGCAAACCAGAGACACCAAAGAAATGCAAAGACTTTTGGACGCTTACGGAATCAACCTACCATTAGTGACATATGTCAAGGACGAGCTGAGGTCCAAAACAAAAGTGGAACAGGGAAAATCCAGACTGATTGAAGCTTCCAGTCTAAATGACTCAGTGGCCATGAGAATGGCATTTGGAAACCTTTATGCAGCATTCCACAGGAATCCAGGGGTCGTCACTGGTAGTGCAGTTGGATGCGATCCAGACCTATTCTGGAGCAAGATCCCAGTGTTGATGGAAGAAAAGCTATTTGCCTTTGATTACACAGGATACGACGCATCACTTAGCCCAGCTTGGTTTGAGGCACTCAAGATGGTGTTAGAGAAAATTGGTTTTGGAGATAGAGTGGATTACATAGACTACCTTAACCATTCACACCACTTGTACAAAAACAAGATATATTGTGTTAAGGGCGGCATGCCATCTGGCTGCTCCGGCACTTCAATTTTTAATTCAATGATTAACAATTTGATCATTAGGACGCTTTTACTGAAAACCTACAAGGGCATAGATTTGGACCACTTAAAAATGATTGCCTATGGTGACGATGTAATAGCTTCCTATCCCCATGAGGTTGACGCTAGTCTCCTAGCCCAATCAGGAAAAGACTATGGACTAACCATGACTCCGGCAGATAAATCTGCCACTTTTGAGACAGTCACATGGGAGAATGTAACTTTCTTGAAAAGATTCTTCAGAGCAGATGAGAAATACCCCTTCCTCATACATCCAGTAATGCCAATGAAGGAAATTCATGAATCAATCAGATGGACAAAAGATCCTCGGAATACGCAGGACCATGTACGCTCCTTGTGTCTATTGGCTTGGCACAACGGGGAAGAAGAATACAACAAATTTTTAGCTAAAATTAGGAGTGTGCCAATCGGAAGAGCTTTGTTGCTCCCAGAGTACTCAACATTGTACCGCCGTTGGCTTGACTCATTTTAGTAACCCTACCTCAGTCGAATTGGATTGGGTCATACTGTTGTAGGGGTAAATTTTTCTTTAATTCGGAGG"
}
],
"gappedTraces": 
[
{
"traceFileName": "dataset_152163",
"leadingGaps": 2600,
"trailingGaps": 4025,
"peakA": [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 2, 1, 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, 0, 1, 1, 1, 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, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 3, 3, 2, 2, 1, 2, 3, 5, 7, 9, 9, 9, 7, 6, 5, 4, 5, 6, 7, 8, 8, 9, 9, 10, 10, 10, 10, 10, 9, 9, 9, 10, 11, 13, 14, 15, 15, 14, 14, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 15, 16, 16, 16, 16, 16, 15, 15, 15, 15, 15, 16, 16, 17, 18, 19, 19, 20, 19, 19, 19, 18, 18, 18, 18, 19, 20, 21, 22, 22, 22, 22, 22, 22, 22, 22, 23, 24, 24, 24, 23, 22, 21, 20, 20, 21, 22, 24, 25, 27, 27, 27, 27, 26, 25, 25, 25, 25, 25, 25, 25, 25, 26, 26, 27, 28, 29, 30, 30, 30, 29, 28, 27, 27, 27, 28, 29, 29, 30, 31, 31, 31, 32, 32, 32, 32, 32, 33, 33, 32, 32, 31, 30, 30, 30, 31, 31, 33, 34, 36, 37, 39, 39, 39, 38, 36, 35, 34, 34, 35, 36, 37, 38, 38, 38, 37, 37, 37, 38, 39, 39, 39, 39, 38, 37, 37, 38, 39, 41, 42, 43, 43, 42, 42, 42, 43, 44, 45, 46, 46, 45, 44, 42, 41, 41, 42, 43, 44, 46, 47, 47, 47, 47, 47, 47, 47, 48, 49, 50, 51, 52, 53, 53, 53, 53, 54, 55, 57, 59, 60, 63, 65, 70, 77, 88, 102, 117, 131, 142, 146, 143, 132, 116, 99, 84, 74, 72, 77, 89, 104, 121, 138, 154, 168, 183, 200, 221, 247, 277, 311, 346, 380, 412, 440, 465, 486, 505, 520, 530, 535, 533, 524, 508, 485, 457, 426, 393, 359, 326, 294, 263, 235, 209, 187, 167, 152, 140, 133, 130, 132, 136, 143, 151, 159, 166, 172, 178, 183, 188, 193, 197, 199, 197, 193, 184, 174, 161, 147, 134, 120, 107, 94, 82, 70, 59, 50, 42, 34, 28, 22, 17, 12, 9, 7, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 7, 9, 11, 14, 16, 18, 20, 23, 27, 31, 36, 42, 49, 57, 64, 72, 78, 85, 91, 98, 105, 114, 123, 132, 140, 148, 154, 161, 167, 174, 181, 188, 195, 200, 202, 203, 201, 198, 194, 188, 182, 175, 168, 159, 150, 140, 130, 120, 109, 99, 89, 79, 70, 61, 53, 46, 40, 34, 30, 26, 23, 21, 18, 16, 14, 13, 12, 12, 12, 11, 11, 10, 10, 9, 9, 9, 9, 9, 10, 11, 11, 12, 12, 11, 9, 7, 5, 3, 2, 2, 2, 3, 4, 5, 5, 5, 4, 4, 3, 3, 2, 3, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 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, 1, 1, 2, 3, 3, 4, 5, 6, 8, 10, 13, 17, 20, 24, 28, 32, 37, 43, 49, 56, 63, 69, 73, 77, 80, 84, 89, 94, 100, 105, 109, 111, 110, 108, 105, 102, 99, 97, 94, 89, 84, 76, 68, 59, 50, 42, 35, 30, 26, 23, 20, 17, 13, 10, 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, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 3, 5, 6, 8, 11, 14, 19, 24, 30, 36, 43, 49, 55, 62, 71, 80, 91, 101, 112, 122, 133, 143, 153, 164, 176, 188, 199, 208, 215, 219, 222, 223, 223, 222, 221, 218, 215, 210, 204, 198, 193, 188, 183, 180, 177, 174, 172, 170, 168, 168, 170, 173, 179, 188, 197, 207, 217, 225, 231, 235, 236, 237, 236, 235, 233, 231, 228, 225, 221, 215, 208, 200, 190, 180, 169, 160, 152, 146, 142, 140, 138, 136, 134, 132, 129, 128, 128, 129, 131, 133, 134, 135, 133, 131, 127, 123, 119, 116, 113, 111, 110, 109, 109, 110, 110, 110, 111, 113, 117, 123, 130, 138, 146, 154, 162, 170, 179, 190, 201, 213, 224, 233, 240, 244, 247, 248, 249, 250, 250, 250, 248, 246, 243, 239, 235, 230, 224, 217, 209, 200, 190, 181, 171, 161, 151, 141, 132, 124, 118, 113, 110, 108, 107, 107, 106, 107, 107, 109, 112, 115, 119, 123, 127, 130, 132, 134, 135, 136, 135, 134, 131, 128, 124, 119, 115, 110, 107, 103, 100, 97, 94, 91, 89, 89, 90, 92, 95, 98, 100, 103, 106, 110, 115, 119, 124, 128, 131, 133, 133, 133, 133, 131, 129, 127, 123, 119, 114, 110, 106, 103, 101, 99, 98, 97, 97, 97, 98, 100, 103, 106, 110, 113, 116, 119, 122, 125, 128, 131, 133, 133, 132, 130, 126, 121, 116, 112, 107, 102, 96, 89, 82, 75, 68, 62, 56, 52, 49, 47, 45, 44, 44, 45, 47, 51, 55, 60, 65, 71, 78, 86, 96, 108, 121, 135, 147, 157, 166, 173, 179, 186, 193, 199, 204, 206, 205, 200, 194, 186, 178, 170, 161, 152, 142, 132, 121, 109, 98, 87, 77, 67, 58, 50, 43, 37, 31, 27, 23, 19, 16, 14, 12, 10, 8, 7, 6, 7, 8, 10, 13, 16, 19, 23, 26, 31, 36, 42, 50, 59, 69, 81, 93, 107, 120, 133, 145, 157, 170, 184, 199, 215, 231, 247, 260, 271, 278, 283, 287, 290, 294, 298, 300, 302, 301, 298, 293, 287, 282, 277, 272, 267, 260, 250, 238, 224, 210, 197, 186, 177, 171, 166, 161, 157, 154, 154, 155, 160, 167, 175, 183, 191, 199, 206, 213, 219, 225, 230, 232, 231, 228, 222, 213, 203, 192, 179, 166, 153, 140, 127, 115, 103, 91, 80, 70, 60, 52, 44, 38, 33, 29, 25, 21, 18, 15, 13, 11, 10, 9, 8, 8, 7, 6, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 3, 6, 9, 13, 18, 23, 28, 34, 41, 49, 58, 68, 79, 91, 104, 118, 133, 147, 161, 174, 187, 199, 210, 221, 229, 235, 237, 234, 228, 219, 208, 196, 183, 169, 154, 138, 121, 106, 91, 79, 68, 59, 51, 43, 35, 28, 21, 17, 14, 13, 12, 12, 11, 9, 7, 5, 3, 2, 3, 4, 5, 6, 6, 5, 4, 2, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 9, 13, 17, 21, 25, 30, 36, 43, 50, 59, 68, 78, 87, 97, 105, 113, 120, 125, 130, 135, 138, 140, 141, 140, 137, 133, 127, 121, 114, 109, 104, 99, 96, 93, 92, 92, 94, 98, 104, 113, 124, 136, 150, 166, 181, 197, 211, 225, 237, 247, 257, 267, 276, 284, 291, 296, 298, 298, 297, 296, 293, 291, 287, 283, 277, 270, 261, 251, 240, 226, 212, 196, 180, 164, 148, 133, 120, 108, 96, 86, 77, 68, 59, 52, 46, 41, 39, 39, 42, 46, 51, 57, 63, 69, 76, 85, 95, 107, 120, 134, 149, 165, 183, 202, 220, 239, 255, 269, 281, 292, 301, 310, 318, 325, 329, 331, 329, 326, 321, 317, 315, 313, 311, 307, 301, 291, 277, 261, 243, 224, 205, 186, 168, 150, 132, 114, 97, 81, 66, 54, 44, 36, 30, 24, 19, 14, 10, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 5, 6, 7, 7, 7, 7, 8, 8, 8, 9, 9, 10, 11, 11, 12, 12, 12, 11, 9, 8, 6, 5, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 3, 5, 8, 11, 14, 18, 23, 28, 35, 43, 53, 64, 77, 90, 105, 120, 135, 149, 162, 173, 181, 187, 190, 190, 188, 184, 179, 173, 165, 155, 144, 131, 118, 106, 95, 88, 84, 85, 89, 95, 104, 114, 125, 138, 153, 169, 186, 202, 217, 229, 238, 243, 245, 244, 239, 231, 219, 204, 187, 169, 150, 131, 114, 97, 82, 69, 56, 45, 36, 29, 24, 21, 20, 21, 24, 29, 36, 46, 57, 70, 84, 98, 113, 129, 146, 164, 182, 199, 215, 228, 237, 242, 243, 240, 234, 225, 214, 202, 187, 171, 155, 137, 119, 101, 83, 67, 53, 42, 32, 24, 18, 12, 7, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 7, 14, 22, 31, 42, 55, 69, 84, 102, 121, 142, 164, 187, 208, 228, 246, 260, 271, 278, 280, 279, 274, 266, 255, 240, 223, 204, 183, 162, 141, 122, 103, 86, 71, 58, 47, 39, 33, 28, 24, 21, 18, 16, 14, 13, 12, 12, 11, 11, 10, 9, 9, 9, 9, 11, 12, 14, 14, 15, 14, 14, 13, 12, 12, 11, 10, 9, 8, 7, 7, 8, 10, 12, 14, 14, 14, 12, 9, 7, 5, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 7, 8, 9, 9, 10, 11, 13, 15, 17, 19, 21, 22, 22, 22, 21, 20, 18, 16, 15, 13, 12, 11, 9, 8, 7, 6, 5, 4, 3, 2, 2, 1, 1, 1, 1, 1, 2, 3, 5, 7, 10, 14, 19, 25, 32, 39, 48, 58, 70, 83, 99, 117, 138, 160, 184, 207, 228, 247, 263, 276, 289, 300, 310, 320, 328, 334, 337, 339, 339, 339, 339, 341, 343, 345, 345, 341, 333, 321, 305, 286, 265, 243, 220, 197, 174, 152, 131, 113, 97, 84, 73, 64, 56, 51, 47, 44, 42, 41, 39, 37, 36, 34, 32, 32, 32, 33, 34, 35, 36, 37, 38, 39, 41, 43, 45, 48, 53, 61, 72, 86, 103, 122, 143, 165, 188, 211, 235, 258, 280, 299, 315, 325, 330, 330, 324, 312, 295, 274, 249, 223, 196, 171, 147, 125, 106, 88, 72, 58, 46, 37, 29, 24, 22, 22, 24, 27, 31, 36, 42, 51, 62, 75, 90, 106, 123, 139, 153, 165, 175, 182, 186, 186, 182, 176, 167, 156, 143, 129, 114, 98, 84, 69, 57, 47, 39, 33, 29, 26, 24, 22, 21, 20, 20, 21, 23, 27, 33, 41, 51, 64, 79, 94, 111, 129, 148, 168, 188, 209, 229, 248, 265, 279, 289, 297, 301, 304, 306, 308, 311, 314, 316, 319, 320, 320, 320, 319, 318, 319, 320, 322, 324, 325, 327, 328, 328, 330, 332, 335, 338, 341, 343, 343, 340, 337, 334, 331, 330, 331, 332, 335, 337, 339, 341, 342, 343, 343, 342, 342, 341, 340, 341, 343, 346, 350, 352, 354, 352, 347, 339, 327, 311, 291, 269, 243, 216, 189, 162, 137, 114, 94, 76, 61, 48, 38, 30, 24, 20, 16, 13, 11, 10, 10, 9, 10, 11, 11, 12, 12, 12, 12, 12, 12, 11, 11, 11, 13, 16, 22, 30, 41, 54, 70, 89, 112, 137, 164, 193, 220, 246, 267, 283, 293, 297, 296, 289, 276, 260, 239, 217, 192, 167, 142, 120, 99, 81, 66, 52, 40, 30, 21, 15, 11, 8, 7, 7, 7, 5, 4, 2, 1, 1, 1, 3, 5, 7, 9, 11, 15, 20, 28, 39, 53, 71, 92, 116, 143, 172, 202, 232, 261, 286, 307, 324, 334, 339, 338, 330, 316, 296, 272, 245, 216, 187, 159, 134, 111, 91, 73, 58, 45, 35, 26, 19, 14, 11, 9, 7, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 6, 9, 14, 20, 26, 34, 43, 53, 65, 79, 95, 113, 132, 152, 171, 188, 202, 214, 222, 227, 227, 222, 213, 200, 183, 164, 145, 126, 109, 93, 79, 66, 54, 44, 35, 28, 22, 18, 16, 15, 14, 14, 14, 14, 13, 12, 11, 10, 10, 10, 11, 11, 11, 11, 11, 10, 9, 8, 7, 7, 6, 5, 5, 4, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 3, 3, 3, 2, 1, 1, 1, 2, 4, 5, 7, 9, 13, 19, 28, 40, 54, 70, 87, 104, 121, 138, 155, 171, 185, 196, 201, 200, 194, 183, 170, 155, 139, 124, 108, 93, 77, 62, 48, 36, 26, 20, 15, 13, 11, 9, 8, 6, 5, 4, 5, 7, 10, 14, 20, 29, 39, 52, 68, 85, 105, 126, 147, 169, 191, 213, 233, 251, 267, 280, 290, 298, 305, 312, 321, 331, 343, 356, 369, 380, 389, 395, 396, 391, 382, 366, 345, 319, 289, 256, 223, 191, 163, 141, 126, 118, 120, 129, 144, 166, 191, 219, 249, 277, 303, 326, 343, 353, 355, 349, 334, 311, 282, 249, 214, 180, 150, 123, 100, 81, 65, 52, 41, 33, 27, 23, 20, 18, 16, 14, 11, 8, 6, 4, 3, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 8, 9, 10, 10, 11, 11, 10, 9, 8, 7, 7, 7, 7, 7, 7, 7, 6, 5, 4, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 3, 5, 7, 9, 12, 14, 17, 22, 29, 39, 53, 68, 86, 104, 124, 145, 167, 190, 211, 229, 243, 251, 252, 247, 236, 221, 203, 182, 160, 137, 115, 94, 76, 62, 54, 51, 53, 60, 70, 84, 100, 119, 138, 157, 176, 192, 206, 215, 219, 218, 210, 197, 180, 161, 141, 121, 103, 88, 74, 62, 51, 41, 33, 27, 23, 21, 20, 20, 21, 22, 24, 26, 31, 37, 46, 57, 72, 90, 111, 135, 161, 189, 218, 246, 272, 296, 317, 334, 347, 357, 365, 372, 379, 387, 398, 409, 421, 430, 436, 438, 433, 423, 407, 385, 357, 324, 286, 246, 206, 168, 135, 107, 86, 70, 58, 49, 42, 36, 30, 26, 22, 20, 17, 15, 13, 11, 9, 8, 7, 7, 6, 5, 3, 1, 1, 1, 2, 4, 5, 6, 6, 5, 4, 2, 1, 1, 2, 4, 6, 8, 10, 14, 18, 25, 34, 45, 60, 78, 101, 128, 159, 194, 230, 265, 297, 323, 342, 353, 356, 352, 341, 324, 302, 275, 244, 212, 178, 146, 117, 91, 71, 55, 43, 35, 30, 26, 23, 21, 19, 17, 15, 13, 11, 9, 8, 6, 5, 3, 3, 3, 3, 4, 5, 7, 8, 10, 12, 14, 16, 18, 21, 23, 25, 25, 25, 24, 23, 22, 22, 22, 22, 23, 24, 24, 23, 22, 21, 20, 20, 20, 19, 17, 15, 13, 10, 7, 5, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 13, 23, 36, 53, 75, 101, 132, 167, 206, 246, 285, 320, 349, 370, 381, 382, 374, 357, 333, 303, 269, 233, 196, 161, 129, 103, 82, 66, 54, 45, 37, 31, 25, 20, 16, 13, 11, 10, 8, 7, 6, 5, 4, 3, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 4, 5, 5, 5, 5, 4, 4, 5, 6, 7, 9, 10, 12, 16, 23, 32, 46, 65, 88, 114, 144, 176, 210, 242, 273, 298, 316, 327, 328, 321, 305, 283, 256, 225, 191, 157, 125, 96, 71, 51, 38, 28, 22, 18, 15, 12, 9, 6, 4, 3, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 8, 11, 18, 28, 42, 61, 84, 111, 141, 172, 202, 232, 260, 285, 306, 323, 334, 339, 338, 334, 328, 323, 321, 323, 329, 338, 345, 350, 349, 341, 325, 304, 276, 245, 212, 180, 150, 123, 101, 83, 69, 58, 49, 42, 36, 31, 28, 26, 24, 24, 24, 25, 27, 29, 32, 37, 45, 56, 72, 94, 121, 152, 185, 218, 250, 280, 306, 329, 346, 355, 356, 345, 324, 294, 258, 219, 182, 148, 119, 97, 80, 68, 63, 64, 73, 90, 115, 147, 186, 228, 273, 318, 361, 398, 426, 442, 445, 434, 411, 377, 336, 292, 246, 203, 163, 128, 101, 81, 69, 65, 68, 77, 91, 108, 128, 149, 170, 190, 206, 218, 224, 223, 215, 202, 184, 163, 140, 116, 94, 73, 55, 41, 30, 22, 17, 13, 11, 9, 8, 7, 7, 7, 7, 7, 7, 6, 5, 4, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 5, 6, 7, 7, 6, 6, 6, 7, 7, 7, 6, 5, 3, 2, 2, 4, 8, 15, 26, 42, 62, 88, 118, 153, 190, 228, 264, 297, 322, 339, 345, 341, 328, 307, 279, 246, 210, 174, 140, 109, 82, 60, 44, 31, 22, 15, 9, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 6, 10, 16, 24, 35, 49, 66, 86, 109, 134, 161, 188, 212, 232, 245, 250, 246, 235, 217, 195, 170, 143, 117, 92, 70, 51, 38, 30, 29, 34, 46, 65, 91, 124, 162, 204, 247, 289, 327, 358, 378, 387, 385, 370, 346, 313, 274, 232, 191, 153, 119, 92, 70, 53, 40, 31, 25, 20, 17, 15, 14, 12, 10, 8, 6, 4, 3, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 22, 24, 25, 27, 27, 28, 28, 27, 26, 25, 24, 22, 20, 18, 16, 14, 11, 9, 8, 7, 8, 9, 11, 14, 16, 18, 20, 23, 25, 27, 28, 29, 29, 28, 27, 26, 26, 28, 32, 41, 54, 74, 100, 131, 167, 206, 247, 287, 323, 352, 372, 380, 376, 360, 334, 300, 262, 222, 183, 148, 116, 91, 71, 58, 51, 51, 56, 67, 83, 104, 128, 156, 186, 216, 243, 266, 281, 288, 284, 271, 250, 223, 192, 160, 128, 99, 74, 53, 38, 29, 26, 29, 38, 53, 75, 104, 139, 178, 221, 262, 301, 332, 355, 368, 370, 361, 342, 313, 276, 235, 192, 152, 117, 89, 68, 55, 46, 42, 39, 37, 35, 33, 32, 30, 30, 29, 28, 27, 26, 25, 24, 23, 22, 22, 22, 23, 23, 22, 21, 20, 19, 18, 18, 18, 18, 19, 19, 20, 19, 19, 18, 17, 16, 15, 14, 14, 14, 14, 14, 14, 13, 12, 11, 10, 9, 7, 5, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 10, 19, 31, 48, 68, 92, 119, 147, 175, 200, 219, 230, 234, 229, 216, 197, 174, 148, 121, 96, 72, 52, 35, 22, 13, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 9, 19, 32, 49, 71, 98, 129, 163, 198, 233, 263, 288, 306, 316, 320, 318, 313, 307, 301, 298, 299, 305, 315, 327, 339, 345, 344, 332, 310, 279, 242, 203, 165, 130, 100, 74, 53, 36, 23, 13, 6, 2, 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, 6, 8, 9, 10, 11, 12, 12, 12, 12, 13, 14, 16, 19, 20, 22, 22, 22, 20, 18, 16, 15, 13, 11, 9, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 6, 8, 10, 13, 15, 18, 20, 21, 22, 22, 23, 23, 23, 23, 23, 22, 22, 21, 21, 20, 21, 21, 21, 21, 21, 19, 18, 15, 13, 11, 9, 7, 6, 4, 3, 3, 2, 3, 4, 5, 7, 9, 10, 11, 11, 10, 9, 7, 6, 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, 1, 1, 1, 1, 1, 1, 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, 2, 3, 5, 6, 7, 7, 7, 8, 9, 11, 14, 16, 19, 20, 22, 22, 22, 22, 21, 20, 18, 17, 16, 16, 17, 21, 28, 39, 55, 75, 99, 126, 156, 187, 216, 242, 263, 275, 277, 268, 249, 222, 189, 154, 119, 89, 63, 42, 27, 17, 12, 11, 14, 21, 32, 45, 62, 81, 102, 124, 144, 161, 172, 176, 173, 163, 148, 130, 109, 89, 70, 52, 37, 25, 16, 10, 7, 6, 6, 5, 5, 5, 4, 4, 4, 5, 6, 8, 9, 10, 11, 11, 11, 10, 10, 11, 11, 12, 13, 15, 16, 17, 19, 21, 22, 24, 25, 25, 25, 23, 21, 18, 15, 12, 10, 8, 6, 5, 4, 3, 3, 4, 4, 5, 7, 8, 10, 12, 14, 16, 17, 18, 16, 14, 10, 7, 4, 3, 3, 6, 11, 20, 34, 52, 75, 102, 135, 170, 207, 243, 276, 301, 319, 326, 325, 317, 305, 294, 287, 286, 292, 303, 316, 329, 339, 342, 339, 330, 315, 298, 281, 266, 258, 256, 259, 265, 271, 275, 273, 265, 250, 229, 203, 173, 141, 109, 79, 54, 34, 21, 13, 8, 6, 5, 3, 2, 1, 1, 2, 4, 6, 8, 9, 11, 11, 12, 13, 13, 13, 12, 11, 9, 6, 4, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 3, 4, 5, 6, 6, 7, 7, 8, 8, 8, 7, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 15, 32, 56, 89, 129, 176, 227, 279, 328, 369, 399, 413, 411, 391, 356, 311, 259, 205, 156, 112, 77, 51, 33, 20, 13, 8, 6, 5, 5, 6, 6, 7, 8, 10, 12, 14, 17, 19, 20, 21, 21, 21, 20, 18, 16, 14, 11, 8, 5, 3, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 5, 17, 37, 67, 105, 151, 203, 256, 308, 353, 388, 407, 408, 392, 360, 316, 264, 211, 160, 115, 78, 50, 29, 15, 7, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 12, 26, 47, 77, 117, 164, 219, 276, 332, 381, 418, 438, 440, 423, 389, 342, 286, 229, 174, 125, 86, 56, 37, 26, 25, 31, 45, 68, 98, 137, 184, 236, 292, 347, 395, 431, 451, 452, 432, 395, 346, 288, 230, 175, 127, 88, 60, 41, 29, 25, 27, 34, 47, 65, 89, 119, 153, 188, 223, 255, 279, 294, 298, 288, 266, 235, 197, 157, 119, 86, 60, 40, 26, 17, 11, 8, 6, 5, 4, 4, 4, 5, 6, 9, 12, 16, 20, 23, 25, 25, 24, 23, 21, 19, 18, 16, 15, 14, 13, 15, 18, 25, 35, 50, 69, 94, 125, 160, 196, 232, 261, 282, 290, 285, 268, 241, 207, 171, 134, 100, 71, 47, 29, 17, 10, 6, 5, 4, 4, 4, 4, 3, 3, 4, 5, 6, 8, 9, 10, 11, 11, 12, 12, 11, 11, 10, 8, 6, 4, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 4, 6, 10, 15, 23, 35, 53, 79, 115, 160, 211, 267, 320, 366, 400, 417, 415, 395, 360, 312, 258, 204, 153, 109, 74, 48, 30, 19, 12, 8, 5, 4, 4, 3, 3, 3, 2, 1, 0, 0, 0, 1, 7, 17, 35, 62, 98, 144, 198, 256, 314, 365, 404, 425, 428, 410, 376, 328, 274, 218, 166, 121, 86, 60, 43, 34, 32, 34, 41, 53, 72, 101, 141, 193, 254, 320, 385, 442, 483, 502, 498, 470, 421, 359, 289, 221, 160, 111, 74, 50, 36, 30, 28, 28, 28, 29, 28, 27, 25, 23, 20, 17, 14, 12, 10, 8, 5, 3, 1, 0, 0, 1, 3, 6, 8, 9, 8, 7, 6, 5, 4, 3, 3, 2, 2, 1, 1, 0, 0, 0, 0, 1, 7, 18, 35, 58, 87, 119, 153, 186, 214, 233, 242, 239, 223, 198, 165, 130, 97, 67, 44, 26, 14, 7, 3, 1, 1, 1, 2, 4, 5, 7, 9, 11, 14, 17, 20, 22, 25, 27, 28, 29, 30, 29, 28, 26, 23, 21, 19, 18, 18, 19, 20, 22, 24, 26, 26, 25, 23, 20, 16, 12, 8, 5, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 3, 4, 6, 7, 8, 8, 9, 9, 11, 13, 17, 23, 33, 50, 76, 113, 162, 220, 285, 350, 409, 454, 480, 484, 466, 427, 372, 308, 242, 179, 127, 87, 61, 46, 39, 37, 37, 37, 36, 34, 32, 31, 29, 28, 27, 25, 22, 18, 14, 11, 7, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 10, 26, 52, 88, 132, 183, 238, 291, 338, 374, 393, 394, 375, 339, 290, 236, 181, 131, 90, 59, 37, 24, 16, 11, 8, 7, 6, 5, 4, 4, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 7, 8, 9, 10, 10, 10, 9, 8, 6, 5, 4, 4, 3, 2, 2, 1, 0, 0, 0, 0, 1, 3, 5, 7, 9, 11, 12, 14, 14, 15, 15, 14, 13, 11, 9, 6, 3, 1, 0, 0, 1, 6, 17, 35, 61, 97, 140, 189, 240, 286, 322, 345, 351, 343, 324, 301, 282, 274, 282, 307, 346, 393, 440, 476, 494, 488, 458, 406, 339, 267, 196, 135, 86, 51, 29, 16, 11, 11, 16, 26, 42, 68, 104, 152, 211, 277, 344, 407, 456, 486, 490, 470, 425, 364, 293, 222, 158, 107, 71, 48, 37, 33, 33, 35, 37, 39, 38, 36, 33, 29, 24, 20, 18, 17, 18, 20, 22, 24, 24, 24, 23, 21, 19, 18, 17, 17, 17, 18, 19, 19, 19, 18, 18, 17, 16, 15, 14, 14, 13, 13, 13, 14, 16, 17, 18, 17, 16, 13, 10, 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, 0, 0, 0, 0, 1, 4, 7, 10, 14, 17, 19, 20, 20, 19, 17, 16, 14, 12, 10, 8, 6, 4, 2, 1, 0, 0, 0, 1, 4, 8, 12, 16, 20, 23, 25, 26, 26, 26, 25, 24, 21, 19, 15, 12, 9, 7, 6, 6, 6, 6, 6, 6, 7, 8, 11, 15, 19, 22, 25, 26, 25, 22, 18, 15, 12, 10, 10, 11, 13, 15, 16, 16, 15, 13, 11, 9, 7, 6, 5, 4, 3, 3, 2, 1, 1, 1, 1, 2, 2, 3, 3, 2, 1, 0, 0, 1, 8, 23, 48, 86, 137, 198, 268, 338, 402, 450, 476, 476, 449, 400, 335, 264, 194, 132, 82, 46, 23, 10, 4, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 11, 31, 66, 115, 177, 246, 316, 379, 426, 451, 451, 426, 379, 316, 247, 180, 121, 75, 42, 22, 11, 5, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 7, 14, 25, 44, 72, 114, 168, 234, 307, 378, 439, 481, 498, 486, 447, 387, 314, 237, 165, 106, 61, 33, 19, 14, 15, 19, 23, 26, 27, 27, 26, 25, 24, 24, 23, 24, 25, 27, 29, 31, 32, 32, 31, 29, 25, 22, 17, 13, 9, 6, 3, 1, 0, 0, 0, 0, 2, 4, 8, 12, 16, 20, 22, 23, 23, 22, 21, 19, 17, 15, 12, 10, 9, 8, 9, 12, 19, 32, 51, 80, 116, 160, 206, 251, 288, 313, 322, 313, 287, 247, 198, 147, 99, 60, 31, 12, 3, 0, 0, 0, 1, 7, 20, 44, 80, 131, 193, 263, 333, 394, 439, 460, 456, 427, 380, 326, 277, 245, 235, 251, 289, 340, 392, 434, 455, 451, 421, 369, 304, 234, 167, 110, 65, 33, 15, 6, 3, 4, 5, 6, 6, 5, 4, 3, 2, 2, 1, 1, 1, 2, 8, 18, 38, 69, 113, 172, 242, 320, 397, 463, 507, 522, 505, 458, 387, 304, 220, 146, 87, 46, 21, 8, 3, 2, 2, 3, 3, 3, 4, 6, 7, 9, 12, 15, 18, 21, 23, 24, 24, 21, 16, 11, 7, 3, 1, 0, 0, 0, 0, 3, 13, 30, 57, 92, 134, 178, 219, 252, 272, 275, 262, 233, 194, 149, 106, 68, 38, 18, 6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 5, 6, 8, 10, 14, 20, 32, 52, 81, 119, 164, 211, 255, 289, 308, 309, 293, 261, 218, 170, 123, 81, 49, 25, 11, 3, 0, 0, 0, 5, 18, 40, 75, 123, 181, 246, 310, 365, 404, 422, 416, 388, 344, 296, 255, 230, 228, 249, 287, 333, 375, 402, 407, 389, 353, 310, 271, 248, 250, 279, 333, 401, 472, 530, 563, 564, 532, 470, 388, 297, 209, 134, 76, 38, 17, 9, 9, 12, 16, 19, 20, 19, 17, 15, 13, 10, 7, 4, 2, 0, 0, 0, 1, 1, 2, 3, 3, 5, 6, 9, 12, 14, 17, 19, 20, 20, 19, 17, 14, 11, 7, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 8, 9, 10, 10, 10, 10, 9, 7, 5, 4, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 14, 40, 84, 148, 227, 316, 404, 479, 529, 546, 526, 472, 393, 303, 213, 136, 76, 37, 15, 6, 6, 9, 14, 18, 21, 22, 22, 19, 16, 11, 7, 4, 2, 1, 0, 0, 0, 1, 9, 30, 66, 120, 190, 270, 350, 418, 465, 483, 469, 428, 365, 291, 216, 149, 94, 55, 31, 18, 13, 13, 14, 16, 18, 24, 36, 60, 99, 153, 221, 295, 368, 428, 466, 475, 453, 404, 335, 258, 182, 116, 66, 32, 13, 4, 1, 2, 2, 3, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 7, 11, 15, 20, 23, 25, 25, 24, 23, 21, 19, 17, 16, 15, 14, 12, 10, 7, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 4, 3, 3, 2, 1, 1, 2, 3, 5, 7, 10, 12, 13, 12, 11, 8, 5, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 9, 12, 15, 19, 22, 25, 27, 28, 29, 29, 29, 27, 25, 23, 23, 23, 24, 26, 29, 31, 32, 32, 30, 28, 25, 23, 21, 19, 18, 17, 15, 13, 10, 8, 6, 5, 5, 6, 7, 9, 11, 12, 12, 11, 9, 7, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 5, 9, 13, 18, 22, 25, 26, 26, 24, 21, 17, 13, 10, 8, 7, 7, 8, 11, 19, 33, 58, 99, 155, 224, 299, 371, 427, 459, 460, 431, 379, 316, 258, 220, 210, 233, 284, 352, 421, 474, 499, 490, 450, 388, 319, 259, 222, 217, 244, 297, 361, 423, 464, 476, 454, 404, 338, 274, 229, 217, 244, 305, 388, 475, 547, 588, 589, 550, 477, 382, 282, 188, 112, 57, 23, 6, 0, 0, 0, 3, 13, 33, 68, 116, 176, 241, 301, 347, 372, 370, 344, 300, 250, 206, 180, 181, 209, 258, 318, 373, 409, 418, 397, 348, 282, 208, 139, 82, 41, 16, 3, 0, 0, 1, 2, 2, 2, 2, 3, 4, 6, 8, 9, 10, 10, 9, 7, 6, 4, 3, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 12, 30, 61, 104, 157, 216, 273, 321, 351, 359, 342, 302, 247, 184, 123, 71, 33, 10, 0, 0, 0, 1, 0, 0, 0, 12, 39, 85, 150, 230, 317, 400, 465, 504, 507, 476, 416, 340, 265, 207, 179, 186, 226, 285, 348, 398, 421, 412, 373, 315, 254, 205, 182, 193, 237, 305, 384, 456, 507, 525, 507, 454, 378, 290, 203, 128, 71, 33, 13, 7, 7, 11, 14, 15, 17, 24, 41, 76, 132, 208, 299, 396, 482, 545, 572, 559, 507, 425, 327, 227, 139, 73, 29, 7, 0, 0, 0, 0, 0, 3, 15, 40, 78, 126, 179, 230, 269, 291, 291, 270, 231, 182, 130, 83, 46, 20, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 5, 8, 12, 15, 18, 21, 22, 22, 22, 21, 19, 18, 16, 15, 14, 12, 11, 9, 8, 6, 5, 4, 3, 3, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 8, 32, 76, 139, 218, 303, 380, 437, 464, 455, 414, 351, 278, 213, 168, 154, 170, 210, 263, 312, 345, 353, 333, 289, 230, 167, 108, 61, 29, 10, 1, 0, 0, 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 10, 32, 72, 133, 215, 309, 403, 483, 534, 547, 521, 459, 373, 277, 184, 107, 50, 16, 0, 0, 0, 4, 7, 10, 16, 28, 51, 88, 142, 208, 281, 350, 404, 432, 429, 394, 334, 258, 180, 110, 57, 22, 5, 0, 0, 1, 3, 4, 4, 3, 3, 4, 5, 5, 6, 8, 9, 12, 15, 18, 21, 24, 25, 25, 23, 20, 16, 11, 7, 4, 2, 1, 0, 0, 3, 13, 36, 74, 130, 201, 280, 355, 413, 443, 437, 398, 336, 267, 210, 181, 191, 239, 314, 398, 471, 514, 517, 479, 408, 321, 237, 175, 146, 154, 194, 253, 315, 363, 385, 376, 337, 276, 204, 134, 76, 35, 10, 0, 0, 0, 2, 3, 2, 1, 1, 1, 1, 1, 2, 2, 2, 3, 4, 4, 4, 3, 2, 1, 0, 0, 2, 4, 7, 10, 14, 17, 21, 23, 25, 25, 23, 19, 15, 10, 5, 3, 1, 0, 0, 0, 3, 13, 36, 76, 136, 214, 302, 388, 457, 495, 494, 454, 385, 305, 234, 191, 188, 226, 297, 382, 462, 516, 531, 504, 440, 352, 256, 165, 92, 42, 13, 0, 0, 1, 4, 5, 4, 3, 2, 1, 1, 2, 3, 4, 5, 5, 5, 3, 2, 0, 0, 0, 0, 2, 3, 5, 6, 6, 6, 5, 4, 2, 1, 0, 0, 1, 2, 4, 5, 5, 5, 3, 2, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 3, 22, 59, 118, 193, 276, 353, 410, 437, 427, 383, 314, 233, 153, 86, 39, 10, 0, 0, 0, 3, 3, 1, 0, 0, 6, 32, 83, 162, 265, 381, 493, 580, 626, 620, 564, 468, 351, 232, 130, 57, 15, 0, 0, 1, 2, 0, 0, 3, 26, 71, 140, 228, 323, 411, 477, 508, 499, 451, 373, 280, 187, 107, 49, 15, 0, 0, 1, 6, 8, 8, 7, 6, 5, 5, 7, 8, 10, 12, 13, 14, 14, 14, 13, 12, 11, 10, 8, 7, 6, 5, 4, 3, 3, 3, 4, 4, 5, 6, 6, 7, 7, 7, 8, 10, 11, 11, 11, 13, 23, 46, 91, 160, 251, 356, 460, 542, 588, 586, 535, 446, 336, 224, 128, 58, 17, 0, 0, 0, 4, 5, 2, 0, 0, 9, 35, 82, 152, 245, 350, 452, 535, 581, 581, 534, 449, 341, 231, 135, 64, 20, 0, 0, 1, 6, 9, 9, 8, 6, 4, 4, 4, 5, 6, 7, 8, 9, 9, 9, 9, 8, 8, 8, 8, 10, 12, 14, 16, 17, 18, 17, 16, 14, 12, 10, 10, 11, 13, 15, 16, 14, 12, 11, 16, 32, 66, 120, 191, 272, 352, 416, 451, 452, 417, 353, 272, 189, 116, 60, 23, 4, 0, 0, 1, 3, 3, 0, 0, 0, 16, 56, 124, 220, 335, 453, 552, 614, 625, 584, 500, 387, 268, 162, 80, 28, 3, 0, 1, 7, 12, 14, 13, 11, 9, 7, 7, 8, 10, 12, 16, 19, 22, 24, 25, 24, 22, 19, 15, 11, 7, 5, 4, 4, 4, 2, 0, 0, 11, 42, 102, 193, 310, 436, 553, 638, 673, 650, 575, 461, 333, 210, 112, 45, 9, 0, 0, 7, 16, 24, 29, 32, 33, 31, 27, 22, 17, 12, 10, 8, 8, 7, 6, 4, 2, 0, 0, 0, 2, 4, 5, 6, 6, 4, 3, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 16, 49, 103, 175, 257, 336, 397, 429, 425, 384, 316, 234, 152, 83, 35, 8, 0, 0, 1, 3, 3, 2, 1, 2, 3, 4, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 2, 2, 4, 6, 9, 11, 14, 15, 16, 15, 13, 11, 9, 6, 5, 3, 3, 4, 4, 5, 5, 5, 4, 3, 2, 1, 0, 1, 3, 5, 8, 11, 13, 14, 14, 14, 12, 10, 8, 7, 6, 6, 8, 11, 17, 22, 28, 31, 32, 30, 25, 20, 14, 10, 7, 6, 5, 4, 3, 2, 0, 0, 0, 1, 3, 6, 10, 14, 18, 22, 26, 28, 29, 28, 25, 21, 17, 14, 13, 14, 16, 20, 23, 25, 26, 25, 22, 19, 16, 12, 8, 5, 3, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 3, 2, 0, 0, 5, 29, 75, 143, 227, 312, 383, 424, 427, 391, 323, 238, 154, 83, 34, 7, 0, 0, 1, 3, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 4, 3, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 15, 49, 107, 184, 272, 354, 413, 436, 418, 362, 283, 203, 143, 121, 145, 212, 308, 408, 489, 529, 520, 461, 369, 264, 171, 111, 96, 125, 188, 265, 336, 382, 393, 365, 306, 230, 152, 85, 38, 10, 0, 0, 1, 3, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 3, 3, 1, 0, 0, 11, 44, 100, 176, 262, 342, 397, 416, 394, 337, 257, 173, 98, 44, 11, 0, 0, 0, 4, 5, 3, 0, 0, 0, 12, 43, 93, 161, 240, 315, 373, 402, 394, 353, 287, 209, 134, 73, 31, 8, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 3, 3, 2, 2, 1, 1, 0, 0, 0, 0, 1, 3, 4, 1, 0, 0, 15, 56, 129, 235, 366, 501, 616, 686, 694, 636, 526, 386, 246, 129, 49, 8, 0, 0, 4, 7, 5, 2, 0, 0, 0, 0, 2, 3, 5, 7, 10, 13, 16, 18, 18, 17, 14, 10, 5, 0, 0, 0, 1, 3, 4, 1, 0, 0, 17, 60, 135, 238, 357, 469, 551, 584, 559, 482, 371, 255, 163, 119, 135, 205, 313, 429, 524, 573, 562, 493, 385, 265, 165, 114, 128, 207, 334, 481, 612, 695, 711, 655, 542, 398, 252, 131, 48, 5, 0, 0, 8, 12, 7, 0, 0, 4, 37, 99, 189, 295, 399, 481, 521, 510, 449, 353, 245, 149, 90, 79, 118, 196, 292, 383, 445, 464, 436, 369, 278, 183, 102, 43, 11, 0, 0, 2, 4, 4, 2, 1, 1, 2, 3, 4, 5, 6, 7, 10, 14, 18, 23, 28, 32, 34, 34, 32, 28, 21, 14, 7, 3, 2, 3, 3, 2, 0, 0, 8, 36, 89, 168, 264, 363, 445, 492, 493, 447, 365, 266, 168, 88, 34, 6, 0, 0, 0, 3, 5, 5, 1, 0, 0, 6, 41, 111, 215, 343, 474, 582, 642, 641, 580, 472, 342, 216, 113, 44, 8, 0, 0, 4, 7, 7, 5, 3, 3, 4, 5, 5, 5, 6, 7, 9, 12, 16, 20, 23, 24, 24, 20, 15, 8, 2, 0, 0, 1, 4, 4, 0, 0, 1, 26, 84, 178, 302, 439, 561, 643, 665, 621, 521, 387, 249, 132, 51, 8, 0, 0, 5, 9, 8, 4, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 3, 2, 0, 0, 5, 31, 83, 164, 268, 379, 477, 539, 551, 509, 421, 307, 195, 110, 71, 85, 146, 234, 326, 397, 428, 414, 357, 273, 182, 101, 43, 10, 0, 0, 2, 5, 4, 1, 0, 0, 0, 2, 3, 4, 3, 0, 0, 0, 0, 2, 5, 4, 0, 0, 1, 25, 78, 162, 270, 384, 481, 539, 541, 486, 387, 268, 160, 92, 83, 138, 248, 388, 526, 629, 673, 647, 559, 430, 289, 163, 71, 17, 0, 0, 4, 11, 14, 15, 16, 17, 19, 20, 20, 17, 14, 10, 7, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 2, 6, 6, 1, 0, 0, 21, 76, 169, 292, 426, 543, 616, 628, 575, 471, 341, 213, 108, 38, 4, 0, 1, 8, 11, 9, 5, 1, 0, 0, 2, 3, 2, 0, 0, 0, 0, 3, 4, 1, 0, 0, 16, 61, 140, 252, 382, 508, 603, 644, 623, 542, 421, 287, 165, 74, 20, 0, 0, 1, 8, 11, 12, 9, 4, 0, 0, 10, 52, 130, 246, 388, 531, 647, 709, 702, 627, 500, 352, 211, 100, 30, 0, 0, 0, 7, 11, 8, 1, 0, 0, 15, 59, 133, 236, 353, 464, 545, 575, 544, 457, 333, 200, 93, 39, 55, 143, 287, 456, 614, 725, 764, 723, 615, 465, 306, 168, 70, 15, 0, 0, 6, 12, 14, 13, 11, 11, 12, 13, 13, 13, 13, 14, 16, 18, 21, 24, 26, 26, 24, 20, 14, 6, 0, 0, 0, 3, 6, 5, 0, 0, 6, 47, 129, 253, 405, 558, 680, 742, 729, 644, 507, 349, 203, 91, 22, 0, 0, 3, 14, 16, 9, 0, 0, 5, 54, 148, 284, 446, 605, 728, 785, 764, 669, 523, 359, 209, 95, 26, 0, 0, 3, 10, 11, 4, 0, 0, 8, 44, 103, 180, 264, 338, 386, 396, 365, 302, 222, 140, 73, 27, 3, 0, 0, 5, 9, 9, 8, 7, 7, 8, 8, 7, 5, 1, 0, 0, 1, 3, 4, 1, 0, 0, 13, 52, 118, 208, 307, 396, 452, 461, 421, 342, 243, 146, 69, 20, 0, 0, 0, 5, 5, 3, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 3, 3, 4, 5, 6, 8, 10, 13, 17, 22, 27, 31, 33, 32, 26, 18, 8, 1, 0, 0, 5, 8, 5, 0, 0, 12, 64, 163, 306, 474, 636, 754, 799, 759, 644, 482, 311, 164, 62, 8, 0, 0, 9, 16, 17, 16, 15, 17, 20, 22, 22, 18, 12, 4, 0, 0, 0, 3, 5, 3, 0, 0, 9, 48, 120, 220, 335, 441, 511, 529, 489, 402, 290, 178, 86, 27, 0, 0, 1, 7, 10, 8, 4, 1, 0, 1, 3, 4, 4, 5, 4, 4, 3, 2, 2, 2, 3, 5, 7, 8, 6, 3, 0, 0, 0, 5, 8, 6, 0, 0, 3, 43, 126, 252, 407, 561, 680, 736, 714, 620, 478, 321, 180, 77, 18, 0, 0, 6, 13, 13, 9, 4, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 4, 7, 11, 15, 19, 22, 23, 22, 19, 15, 11, 9, 8, 11, 16, 23, 30, 36, 39, 37, 30, 20, 10, 3, 1, 3, 6, 6, 1, 0, 1, 32, 102, 213, 352, 495, 611, 669, 652, 561, 419, 262, 130, 60, 73, 170, 329, 513, 675, 775, 788, 707, 553, 363, 185, 63, 26, 84, 222, 404, 586, 723, 782, 753, 647, 491, 323, 176, 71, 14, 0, 0, 8, 14, 14, 10, 6, 4, 4, 6, 8, 10, 12, 14, 18, 22, 26, 29, 31, 31, 29, 24, 18, 12, 7, 4, 5, 8, 10, 8, 2, 0, 2, 32, 98, 203, 336, 476, 593, 658, 653, 573, 437, 276, 132, 44, 38, 121, 278, 473, 659, 791, 838, 791, 663, 489, 309, 158, 57, 6, 0, 0, 10, 15, 13, 9, 7, 8, 10, 12, 12, 9, 5, 4, 5, 8, 10, 8, 2, 0, 1, 32, 102, 213, 354, 501, 623, 690, 684, 605, 474, 322, 182, 77, 17, 0, 0, 6, 13, 14, 12, 8, 7, 7, 7, 6, 3, 0, 0, 2, 5, 7, 4, 0, 0, 7, 44, 114, 213, 327, 432, 501, 517, 476, 387, 275, 166, 79, 24, 0, 0, 0, 3, 5, 5, 4, 1, 0, 0, 3, 31, 88, 174, 279, 384, 464, 499, 480, 412, 312, 203, 109, 43, 7, 0, 0, 4, 7, 7, 4, 1, 0, 1, 2, 3, 3, 3, 3, 4, 6, 9, 12, 16, 19, 21, 22, 20, 18, 14, 11, 8, 6, 6, 5, 5, 4, 2, 1, 0, 0, 0, 3, 7, 11, 16, 20, 22, 23, 22, 20, 16, 12, 10, 9, 10, 14, 18, 22, 25, 28, 30, 29, 26, 21, 13, 6, 1, 0, 4, 8, 9, 3, 0, 0, 24, 93, 208, 361, 524, 659, 734, 727, 640, 496, 333, 184, 76, 15, 0, 0, 3, 9, 11, 9, 6, 2, 0, 0, 7, 42, 113, 218, 345, 470, 564, 603, 574, 486, 360, 228, 115, 39, 1, 0, 0, 8, 11, 9, 6, 4, 5, 8, 12, 15, 15, 14, 13, 12, 12, 14, 15, 17, 18, 19, 19, 19, 18, 18, 17, 15, 13, 10, 6, 3, 1, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 2, 1, 2, 3, 4, 5, 6, 6, 6, 5, 3, 2, 2, 2, 2, 4, 5, 7, 10, 11, 12, 12, 10, 8, 6, 4, 4, 5, 8, 10, 12, 13, 12, 11, 10, 9, 10, 12, 13, 14, 14, 12, 10, 9, 10, 12, 11, 6, 0, 0, 11, 56, 139, 254, 385, 502, 576, 586, 528, 414, 274, 144, 58, 36, 81, 179, 299, 409, 478, 489, 441, 350, 240, 137, 60, 14, 0, 0, 4, 8, 7, 4, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 11, 12, 13, 13, 14, 15, 17, 19, 21, 23, 24, 24, 22, 20, 18, 14, 11, 8, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 6, 8, 11, 14, 17, 19, 20, 19, 17, 13, 9, 6, 4, 5, 7, 10, 14, 17, 19, 18, 16, 14, 12, 11, 11, 11, 11, 10, 9, 8, 7, 7, 7, 9, 10, 12, 14, 16, 18, 20, 20, 20, 18, 15, 12, 9, 8, 8, 8, 8, 8, 6, 4, 1, 0, 0, 0, 1, 3, 6, 7, 7, 7, 5, 3, 1, 0, 0, 0, 2, 4, 6, 8, 8, 8, 8, 8, 7, 5, 3, 0, 0, 0, 0, 5, 8, 6, 0, 0, 3, 39, 114, 225, 357, 483, 572, 600, 560, 463, 334, 204, 98, 31, 0, 0, 0, 5, 9, 10, 7, 2, 0, 0, 5, 41, 113, 217, 339, 454, 532, 553, 509, 413, 290, 170, 76, 19, 0, 0, 3, 9, 10, 6, 2, 0, 0, 2, 4, 6, 6, 7, 6, 6, 5, 4, 3, 2, 2, 4, 6, 8, 7, 4, 0, 0, 0, 2, 8, 10, 6, 0, 0, 14, 74, 184, 334, 499, 642, 724, 724, 641, 497, 330, 179, 69, 10, 0, 0, 9, 16, 16, 12, 7, 5, 6, 7, 9, 9, 10, 11, 14, 18, 23, 27, 30, 31, 29, 26, 23, 19, 17, 16, 16, 18, 21, 23, 25, 24, 22, 19, 14, 10, 7, 6, 8, 12, 16, 21, 25, 27, 26, 24, 20, 17, 15, 14, 14, 15, 16, 17, 17, 15, 13, 10, 6, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 8, 10, 11, 10, 9, 7, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 6, 6, 7, 8, 9, 10, 10, 9, 8, 7, 7, 7, 8, 9, 10, 11, 11, 11, 10, 8, 7, 8, 10, 12, 14, 13, 10, 4, 0, 0, 4, 9, 12, 7, 0, 0, 14, 80, 198, 360, 539, 692, 780, 778, 688, 533, 355, 193, 76, 12, 0, 0, 10, 18, 19, 17, 14, 15, 19, 23, 25, 23, 17, 8, 1, 0, 0, 2, 8, 10, 6, 0, 0, 15, 71, 173, 311, 462, 590, 660, 651, 560, 408, 233, 82, 0, 0, 95, 260, 453, 626, 735, 753, 680, 540, 369, 210, 90, 21, 0, 0, 4, 11, 14, 14, 11, 7, 0, 0, 1, 33, 105, 219, 364, 511, 626, 677, 646, 537, 374, 198, 56, 0, 13, 137, 333, 555, 749, 865, 875, 781, 611, 411, 228, 93, 17, 0, 0, 4, 15, 19, 14, 4, 0, 0, 8, 69, 179, 333, 503, 652, 738, 739, 652, 503, 330, 175, 64, 6, 0, 0, 12, 19, 17, 10, 3, 0, 0, 3, 6, 7, 6, 1, 0, 0, 0, 5, 13, 15, 7, 0, 0, 23, 110, 260, 458, 663, 825, 899, 863, 728, 532, 326, 156, 45, 0, 0, 3, 15, 19, 15, 9, 6, 8, 12, 16, 17, 15, 11, 7, 5, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 3, 5, 6, 7, 7, 6, 5, 4, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 5, 3, 1, 0, 0, 1, 2, 3, 2, 0, 0, 0, 0, 5, 9, 8, 2, 0, 0, 24, 87, 186, 307, 423, 504, 527, 485, 391, 270, 154, 65, 13, 0, 0, 4, 9, 8, 4, 0, 0, 0, 0, 2, 3, 4, 5, 6, 8, 10, 13, 16, 19, 23, 25, 26, 25, 24, 22, 19, 16, 13, 10, 7, 4, 2, 0, 0, 0, 0, 1, 3, 5, 7, 10, 13, 15, 17, 17, 16, 14, 12, 10, 8, 9, 11, 15, 20, 25, 30, 33, 33, 29, 22, 12, 4, 0, 2, 9, 13, 11, 1, 0, 2, 52, 156, 312, 495, 666, 779, 801, 720, 555, 348, 153, 19, 0, 52, 212, 422, 630, 782, 840, 793, 657, 471, 282, 130, 35, 0, 0, 6, 17, 19, 13, 5, 0, 0, 0, 1, 3, 6, 7, 9, 10, 10, 9, 7, 4, 1, 0, 0, 0, 0, 1, 3, 6, 8, 11, 12, 13, 12, 10, 9, 7, 6, 5, 4, 3, 3, 2, 2, 2, 3, 5, 6, 4, 1, 0, 0, 0, 4, 10, 11, 5, 0, 0, 21, 92, 209, 360, 513, 629, 675, 634, 516, 350, 178, 42, 0, 4, 117, 293, 493, 667, 772, 782, 697, 542, 360, 194, 74, 10, 0, 0, 11, 19, 18, 12, 7, 5, 6, 9, 11, 12, 12, 12, 12, 12, 13, 15, 16, 18, 19, 19, 18, 16, 13, 9, 6, 3, 1, 0, 0, 0, 0, 0, 2, 3, 5, 6, 6, 7, 7, 9, 12, 16, 21, 24, 24, 19, 11, 1, 0, 0, 5, 14, 16, 8, 0, 0, 24, 117, 276, 480, 688, 845, 908, 858, 709, 504, 297, 132, 31, 0, 0, 7, 19, 19, 12, 3, 0, 0, 0, 2, 5, 7, 8, 8, 8, 7, 6, 4, 1, 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, 2, 4, 5, 4, 2, 0, 0, 0, 3, 9, 12, 6, 0, 0, 10, 67, 170, 308, 453, 568, 620, 593, 496, 357, 213, 97, 24, 0, 0, 4, 12, 14, 9, 4, 2, 4, 8, 11, 12, 12, 10, 9, 8, 9, 10, 10, 10, 9, 7, 6, 5, 5, 6, 8, 9, 10, 10, 9, 7, 4, 2, 0, 0, 0, 2, 3, 4, 4, 3, 3, 2, 3, 3, 3, 2, 0, 0, 0, 0, 5, 12, 12, 5, 0, 0, 21, 95, 219, 376, 533, 649, 691, 646, 528, 371, 215, 93, 20, 0, 0, 7, 17, 18, 13, 8, 6, 8, 13, 17, 17, 12, 5, 0, 0, 3, 11, 14, 9, 0, 0, 11, 80, 208, 386, 581, 749, 843, 837, 732, 559, 362, 188, 66, 4, 0, 0, 12, 18, 15, 8, 3, 2, 6, 10, 14, 15, 14, 13, 12, 13, 14, 15, 16, 16, 15, 14, 12, 11, 11, 11, 11, 12, 14, 15, 16, 18, 19, 20, 21, 20, 19, 17, 15, 12, 11, 10, 11, 12, 14, 16, 17, 17, 16, 15, 12, 9, 7, 4, 2, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 2, 0, 0, 0, 1, 5, 12, 18, 23, 25, 23, 18, 11, 5, 1, 0, 0, 0, 2, 4, 5, 7, 8, 9, 10, 9, 7, 3, 0, 0, 0, 1, 9, 14, 13, 2, 0, 0, 41, 138, 285, 459, 620, 723, 737, 653, 493, 298, 120, 4, 0, 54, 208, 402, 587, 716, 753, 690, 544, 352, 165, 28, 0, 20, 155, 351, 561, 734, 825, 810, 691, 499, 283, 97, 0, 0, 103, 305, 548, 771, 915, 943, 850, 665, 442, 236, 86, 7, 0, 0, 17, 30, 31, 27, 23, 22, 23, 23, 19, 13, 7, 4, 5, 11, 18, 20, 14, 1, 0, 0, 40, 123, 241, 374, 488, 552, 547, 474, 354, 222, 108, 32, 0, 0, 1, 12, 16, 14, 10, 6, 5, 5, 6, 5, 4, 3, 4, 6, 11, 18, 24, 25, 18, 5, 0, 0, 28, 103, 218, 354, 479, 559, 571, 512, 398, 262, 137, 49, 2, 0, 0, 9, 14, 11, 4, 0, 0, 0, 4, 7, 7, 3, 0, 0, 0, 4, 15, 20, 13, 0, 0, 3, 75, 214, 408, 621, 797, 885, 860, 728, 530, 320, 146, 37, 0, 0, 5, 19, 23, 19, 15, 14, 18, 23, 26, 24, 19, 12, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 5, 6, 8, 10, 11, 13, 13, 13, 12, 10, 10, 10, 11, 13, 15, 16, 16, 15, 14, 13, 13, 12, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 8, 6, 4, 2, 1, 1, 4, 5, 5, 3, 0, 0, 0, 3, 11, 14, 9, 0, 0, 13, 81, 203, 368, 542, 682, 744, 705, 573, 379, 178, 28, 0, 40, 217, 463, 716, 909, 989, 938, 773, 546, 318, 138, 30, 0, 0, 10, 23, 23, 14, 5, 1, 4, 10, 15, 18, 18, 16, 13, 10, 8, 6, 4, 2, 1, 0, 0, 0, 0, 3, 6, 10, 14, 16, 17, 14, 10, 6, 3, 3, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 5, 10, 15, 19, 20, 18, 14, 8, 4, 2, 2, 3, 3, 1, 0, 0, 0, 3, 11, 15, 10, 0, 0, 7, 69, 186, 347, 520, 661, 730, 702, 583, 405, 214, 61, 0, 0, 99, 253, 419, 550, 612, 590, 495, 356, 213, 96, 24, 0, 0, 5, 14, 15, 10, 4, 0, 0, 0, 2, 3, 5, 7, 11, 16, 22, 26, 28, 28, 26, 21, 16, 10, 3, 0, 0, 0, 5, 13, 17, 11, 0, 0, 8, 74, 197, 365, 545, 692, 765, 738, 618, 433, 232, 68, 0, 0, 112, 300, 514, 698, 801, 798, 691, 516, 321, 155, 44, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 0, 0, 6, 24, 35, 37, 36, 35, 36, 36, 35, 30, 24, 18, 15, 15, 16, 19, 20, 19, 16, 12, 8, 6, 5, 6, 9, 14, 20, 25, 28, 27, 24, 18, 12, 7, 5, 3, 3, 4, 5, 8, 15, 22, 26, 21, 7, 0, 0, 32, 129, 282, 468, 644, 762, 787, 712, 559, 371, 196, 69, 2, 0, 0, 21, 37, 41, 36, 27, 19, 13, 11, 11, 14, 19, 25, 29, 31, 29, 24, 17, 9, 3, 0, 0, 0, 4, 8, 13, 18, 21, 22, 22, 18, 14, 8, 4, 2, 2, 4, 6, 9, 11, 10, 9, 6, 3, 1, 1, 3, 7, 12, 18, 24, 28, 28, 26, 21, 16, 11, 8, 8, 11, 16, 20, 23, 23, 21, 17, 11, 7, 3, 1, 1, 2, 4, 6, 9, 11, 13, 13, 11, 9, 6, 3, 3, 7, 14, 22, 28, 28, 18, 3, 0, 0, 40, 123, 239, 366, 472, 526, 513, 436, 318, 192, 87, 21, 0, 0, 4, 15, 19, 17, 14, 11, 10, 10, 11, 11, 11, 13, 16, 20, 24, 26, 26, 23, 20, 16, 13, 12, 14, 18, 23, 28, 34, 38, 40, 40, 36, 30, 22, 14, 7, 4, 6, 11, 18, 25, 29, 29, 25, 18, 10, 4, 0, 0, 0, 3, 6, 9, 11, 11, 10, 7, 4, 0, 0, 0, 3, 11, 21, 30, 38, 41, 38, 30, 19, 8, 1, 0, 3, 9, 15, 18, 18, 15, 10, 5, 1, 0, 0, 0, 1, 3, 5, 8, 9, 10, 9, 6, 3, 0, 0, 0, 3, 8, 11, 13, 13, 10, 7, 3, 0, 0, 0, 1, 3, 6, 8, 9, 8, 7, 4, 2, 0, 0, 0, 0, 1, 4, 9, 14, 18, 21, 20, 18, 14, 10, 6, 2, 0, 0, 0, 2, 9, 13, 10, 0, 0, 0, 40, 127, 254, 397, 519, 584, 573, 488, 356, 214, 97, 23, 0, 0, 5, 15, 18, 16, 12, 11, 12, 14, 16, 15, 13, 12, 12, 14, 18, 21, 22, 22, 20, 18, 16, 15, 13, 10, 8, 7, 10, 17, 23, 25, 16, 0, 0, 2, 62, 177, 339, 516, 664, 741, 724, 614, 440, 247, 81, 0, 0, 78, 260, 487, 706, 861, 910, 841, 675, 460, 253, 98, 11, 0, 0, 21, 39, 45, 41, 34, 29, 27, 26, 25, 21, 16, 12, 11, 15, 22, 27, 22, 7, 0, 0, 33, 136, 298, 493, 673, 787, 801, 709, 541, 346, 172, 52, 0, 0, 3, 23, 35, 39, 38, 36, 36, 35, 32, 27, 20, 14, 11, 13, 16, 21, 24, 24, 22, 18, 13, 10, 9, 11, 13, 16, 18, 17, 14, 9, 4, 1, 0, 0, 2, 7, 12, 17, 21, 23, 22, 19, 14, 9, 5, 3, 4, 6, 11, 17, 23, 29, 34, 37, 36, 31, 21, 9, 0, 0, 1, 12, 20, 19, 5, 0, 0, 44, 163, 346, 561, 757, 878, 885, 778, 588, 371, 181, 53, 0, 0, 3, 20, 24, 17, 5, 0, 0, 0, 4, 8, 7, 3, 0, 0, 0, 5, 11, 12, 5, 0, 0, 18, 87, 202, 346, 488, 587, 615, 562, 444, 297, 158, 57, 4, 0, 0, 8, 14, 12, 8, 8, 13, 21, 28, 31, 28, 21, 12, 6, 2, 3, 5, 8, 9, 9, 7, 4, 1, 0, 1, 3, 7, 11, 15, 18, 19, 19, 17, 14, 10, 6, 3, 2, 3, 8, 14, 22, 29, 34, 34, 30, 24, 15, 7, 2, 0, 0, 1, 2, 3, 3, 2, 1, 0, 0, 0, 0, 1, 3, 4, 5, 4, 3, 2, 0, 0, 0, 2, 7, 12, 17, 20, 21, 20, 16, 11, 6, 3, 5, 11, 21, 32, 41, 47, 47, 41, 32, 22, 12, 5, 2, 1, 2, 3, 4, 4, 4, 4, 3, 3, 4, 4, 5, 6, 7, 8, 9, 9, 8, 6, 3, 1, 0, 0, 1, 5, 10, 15, 19, 21, 20, 17, 12, 8, 3, 0, 0, 0, 1, 4, 7, 10, 11, 11, 10, 7, 4, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 3, 3, 2, 1, 1, 2, 4, 5, 6, 5, 4, 2, 1, 0, 0, 0, 0, 2, 5, 7, 9, 11, 11, 10, 8, 6, 4, 2, 0, 0, 1, 4, 8, 12, 14, 13, 8, 1, 0, 0, 2, 11, 17, 12, 0, 0, 3, 65, 185, 354, 537, 686, 759, 730, 605, 416, 214, 53, 0, 1, 128, 328, 552, 743, 851, 848, 735, 541, 316, 116, 0, 0, 73, 275, 536, 792, 974, 1032, 952, 759, 511, 275, 100, 6, 0, 0, 22, 37, 39, 33, 26, 22, 21, 19, 14, 7, 0, 0, 0, 7, 14, 14, 4, 0, 0, 27, 111, 244, 404, 553, 649, 661, 587, 449, 287, 143, 44, 0, 0, 0, 14, 22, 22, 19, 18, 18, 20, 20, 17, 11, 5, 0, 0, 0, 4, 15, 23, 25, 15, 0, 0, 6, 70, 186, 341, 502, 626, 677, 639, 525, 369, 213, 92, 20, 0, 0, 0, 5, 10, 13, 13, 9, 0, 0, 0, 50, 163, 335, 536, 719, 830, 832, 719, 521, 293, 99, 0, 0, 102, 278, 468, 617, 683, 653, 541, 383, 224, 98, 22, 0, 0, 7, 14, 13, 6, 0, 0, 0, 0, 1, 2, 3, 5, 9, 16, 24, 30, 32, 29, 22, 14, 5, 0, 0, 1, 6, 11, 16, 18, 17, 14, 9, 5, 3, 3, 3, 2, 0, 0, 2, 8, 16, 21, 17, 3, 0, 0, 39, 142, 296, 475, 632, 721, 716, 617, 455, 277, 127, 30, 0, 0, 9, 28, 37, 37, 31, 24, 18, 13, 9, 7, 7, 9, 13, 16, 19, 19, 16, 11, 6, 1, 0, 0, 1, 6, 12, 18, 22, 22, 20, 14, 8, 2, 0, 0, 1, 5, 10, 14, 16, 15, 13, 9, 4, 1, 0, 0, 1, 7, 15, 24, 31, 34, 33, 26, 18, 9, 3, 0, 1, 3, 6, 7, 6, 5, 3, 1, 0, 0, 0, 2, 6, 11, 16, 19, 20, 18, 13, 7, 2, 0, 1, 4, 6, 7, 5, 4, 4, 8, 14, 18, 13, 0, 0, 0, 48, 152, 304, 476, 626, 710, 703, 606, 449, 276, 130, 35, 0, 0, 3, 14, 16, 10, 1, 0, 0, 0, 3, 7, 8, 9, 8, 7, 5, 3, 1, 0, 0, 1, 5, 11, 17, 22, 24, 22, 18, 12, 6, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 3, 7, 9, 8, 5, 0, 0, 0, 3, 12, 17, 13, 0, 0, 3, 65, 185, 353, 533, 678, 745, 708, 576, 382, 181, 28, 0, 17, 169, 386, 610, 782, 855, 810, 666, 467, 270, 116, 26, 0, 0, 0, 6, 6, 6, 7, 7, 1, 0, 0, 22, 114, 275, 486, 704, 871, 936, 880, 719, 501, 285, 118, 20, 0, 0, 11, 21, 19, 8, 0, 0, 0, 7, 18, 24, 24, 16, 7, 0, 0, 6, 15, 17, 8, 0, 0, 23, 117, 277, 483, 689, 839, 889, 824, 663, 454, 253, 102, 18, 0, 0, 6, 9, 3, 0, 0, 7, 13, 9, 0, 0, 17, 110, 279, 503, 734, 910, 977, 916, 744, 514, 288, 115, 17, 0, 0, 12, 23, 19, 8, 0, 0, 0, 3, 10, 13, 13, 11, 8, 7, 7, 8, 11, 14, 16, 17, 17, 14, 11, 8, 4, 1, 0, 0, 1, 5, 9, 14, 16, 17, 18, 21, 26, 29, 24, 10, 0, 0, 20, 111, 263, 456, 646, 782, 822, 756, 602, 408, 225, 89, 15, 0, 0, 0, 3, 3, 4, 8, 11, 5, 0, 0, 20, 119, 296, 530, 772, 956, 1027, 963, 783, 542, 303, 121, 17, 0, 0, 14, 26, 24, 14, 6, 4, 8, 11, 10, 5, 0, 1, 7, 15, 18, 10, 0, 0, 24, 115, 270, 470, 671, 817, 862, 787, 607, 371, 145, 0, 0, 96, 333, 626, 898, 1073, 1104, 986, 759, 491, 250, 82, 0, 0, 0, 19, 25, 18, 4, 0, 0, 0, 4, 10, 14, 14, 13, 11, 8, 4, 2, 0, 0, 0, 2, 5, 7, 6, 2, 0, 0, 0, 5, 14, 16, 9, 0, 0, 17, 96, 234, 414, 597, 734, 784, 729, 580, 378, 176, 28, 0, 21, 167, 374, 588, 754, 827, 786, 642, 433, 213, 42, 0, 10, 169, 408, 668, 882, 992, 968, 821, 598, 361, 165, 42, 0, 0, 7, 20, 21, 12, 0, 0, 0, 0, 5, 11, 15, 16, 12, 6, 1, 2, 9, 19, 24, 16, 0, 0, 2, 86, 250, 478, 727, 931, 1031, 996, 838, 603, 358, 159, 36, 0, 0, 9, 23, 23, 13, 0, 0, 0, 2, 12, 21, 28, 30, 29, 25, 18, 11, 4, 0, 0, 1, 8, 18, 28, 35, 37, 33, 24, 14, 7, 4, 4, 5, 5, 1, 0, 0, 3, 14, 22, 20, 4, 0, 0, 51, 186, 393, 635, 852, 981, 982, 855, 640, 399, 193, 58, 0, 0, 0, 10, 12, 11, 11, 13, 12, 1, 0, 0, 46, 178, 390, 649, 893, 1055, 1083, 970, 749, 486, 248, 80, 0, 0, 1, 25, 38, 35, 24, 13, 7, 5, 5, 5, 4, 3, 3, 4, 6, 8, 8, 7, 5, 2, 0, 0, 0, 1, 2, 3, 3, 2, 1, 0, 0, 0, 0, 0, 1, 3, 5, 8, 10, 10, 9, 7, 4, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 5, 8, 9, 8, 7, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 9, 13, 17, 20, 21, 19, 15, 10, 5, 1, 0, 0, 1, 2, 3, 3, 2, 2, 2, 2, 2, 1, 0, 0, 1, 7, 13, 16, 12, 0, 0, 0, 41, 131, 263, 413, 546, 622, 621, 541, 408, 257, 126, 38, 0, 0, 3, 15, 18, 13, 5, 0, 0, 3, 9, 12, 10, 5, 0, 0, 0, 7, 14, 14, 4, 0, 0, 36, 133, 288, 477, 658, 782, 814, 743, 591, 401, 220, 85, 11, 0, 0, 12, 22, 20, 12, 4, 0, 0, 2, 4, 6, 6, 5, 4, 4, 4, 4, 5, 6, 7, 9, 10, 12, 13, 14, 14, 12, 10, 7, 4, 1, 0, 0, 0, 0, 0, 0, 2, 5, 10, 16, 21, 23, 24, 21, 16, 10, 3, 0, 0, 0, 4, 11, 14, 10, 0, 0, 2, 50, 146, 282, 433, 561, 630, 619, 531, 393, 242, 114, 31, 0, 0, 3, 14, 19, 17, 14, 12, 13, 15, 17, 16, 12, 6, 0, 0, 0, 0, 10, 19, 20, 8, 0, 0, 29, 134, 308, 529, 748, 906, 956, 884, 711, 487, 271, 108, 16, 0, 0, 11, 20, 19, 12, 8, 11, 20, 31, 39, 40, 35, 24, 10, 0, 0, 0, 7, 20, 24, 14, 0, 0, 15, 119, 308, 563, 833, 1046, 1143, 1092, 910, 651, 384, 170, 39, 0, 0, 9, 24, 24, 13, 2, 0, 0, 6, 13, 17, 19, 20, 21, 23, 25, 25, 24, 20, 16, 14, 13, 15, 18, 21, 23, 24, 23, 22, 20, 18, 16, 15, 13, 12, 10, 8, 7, 6, 6, 5, 5, 5, 5, 5, 6, 8, 8, 7, 3, 0, 0, 0, 2, 12, 18, 14, 0, 0, 0, 60, 188, 376, 590, 780, 893, 895, 785, 597, 383, 192, 60, 0, 0, 1, 24, 34, 26, 5, 0, 0, 40, 148, 310, 497, 665, 767, 773, 682, 520, 333, 168, 54, 0, 0, 0, 14, 20, 16, 8, 2, 1, 2, 5, 6, 6, 5, 4, 5, 6, 7, 7, 6, 3, 1, 0, 0, 1, 4, 6, 8, 8, 7, 5, 3, 1, 0, 0, 0, 1, 3, 6, 9, 11, 11, 11, 9, 7, 6, 6, 6, 8, 10, 12, 12, 11, 8, 6, 4, 3, 3, 3, 2, 0, 0, 0, 0, 5, 12, 13, 6, 0, 0, 18, 89, 211, 367, 524, 640, 682, 636, 518, 360, 205, 85, 15, 0, 0, 7, 15, 15, 9, 2, 0, 0, 0, 2, 4, 7, 9, 9, 7, 3, 0, 0, 0, 7, 14, 15, 5, 0, 0, 33, 133, 294, 494, 690, 830, 874, 809, 654, 452, 257, 107, 20, 0, 0, 9, 18, 16, 8, 0, 0, 0, 0, 3, 6, 7, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 1, 3, 7, 10, 12, 13, 12, 10, 7, 6, 5, 6, 7, 8, 8, 7, 5, 3, 2, 0, 0, 0, 0, 0, 2, 6, 10, 14, 16, 17, 14, 10, 5, 1, 0, 0, 2, 5, 9, 10, 9, 8, 6, 6, 8, 10, 12, 10, 5, 0, 0, 0, 7, 16, 17, 6, 0, 0, 35, 146, 328, 558, 785, 950, 1006, 937, 763, 533, 307, 132, 28, 0, 0, 10, 22, 23, 16, 9, 7, 8, 9, 7, 2, 0, 0, 7, 17, 21, 12, 0, 0, 17, 114, 290, 531, 790, 1005, 1116, 1092, 940, 703, 444, 220, 68, 0, 0, 1, 25, 35, 26, 5, 0, 0, 43, 153, 319, 517, 705, 835, 872, 799, 635, 418, 204, 46, 0, 36, 187, 403, 630, 810, 896, 867, 729, 517, 285, 92, 0, 0, 128, 346, 601, 830, 975, 1002, 906, 719, 491, 279, 120, 29, 0, 0, 1, 4, 1, 0, 2, 8, 8, 0, 0, 0, 64, 207, 429, 700, 960, 1143, 1197, 1105, 895, 624, 360, 156, 35, 0, 0, 9, 22, 22, 14, 4, 0, 2, 6, 9, 10, 7, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 7, 7, 5, 3, 1, 0, 0, 0, 0, 2, 2, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 3, 4, 6, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 4, 4, 3, 2, 2, 3, 4, 4, 4, 1, 0, 0, 0, 3, 10, 13, 9, 0, 0, 6, 67, 184, 351, 537, 702, 800, 804, 713, 553, 366, 197, 76, 10, 0, 0, 8, 13, 10, 3, 0, 0, 0, 1, 4, 4, 3, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 5, 6, 7, 6, 4, 0, 0, 0, 0, 5, 11, 11, 4, 0, 0, 24, 100, 229, 395, 566, 701, 764, 735, 624, 462, 288, 142, 46, 0, 0, 0, 9, 11, 6, 1, 0, 1, 5, 8, 7, 2, 0, 0, 3, 8, 10, 5, 0, 0, 18, 84, 195, 340, 492, 613, 670, 648, 553, 411, 259, 130, 43, 1, 0, 0, 8, 10, 6, 0, 0, 0, 0, 5, 9, 9, 6, 1, 0, 0, 0, 7, 14, 14, 4, 0, 0, 32, 127, 282, 479, 679, 833, 901, 863, 732, 543, 344, 175, 61, 2, 0, 0, 8, 18, 20, 12, 0, 0, 0, 45, 149, 313, 520, 730, 894, 966, 922, 766, 539, 299, 111, 26, 69, 228, 465, 718, 922, 1028, 1008, 868, 642, 385, 159, 18, 0, 101, 309, 570, 825, 1010, 1083, 1025, 852, 605, 342, 124, 0, 0, 109, 313, 560, 791, 950, 1001, 935, 773, 558, 342, 166, 53, 0, 0, 1, 11, 13, 7, 0, 0, 0, 0, 5, 9, 10, 11, 11, 12, 13, 14, 14, 15, 14, 14, 11, 7, 2, 0, 0, 0, 6, 12, 11, 3, 0, 0, 37, 131, 284, 476, 671, 823, 890, 854, 726, 539, 340, 172, 58, 3, 0, 0, 10, 13, 8, 1, 0, 0, 1, 5, 7, 4, 0, 0, 0, 3, 9, 10, 5, 0, 0, 22, 93, 215, 375, 547, 691, 770, 761, 663, 499, 309, 139, 29, 4, 67, 199, 366, 524, 634, 671, 629, 522, 379, 234, 116, 38, 2, 0, 0, 7, 9, 5, 0, 0, 0, 2, 7, 10, 10, 5, 0, 0, 0, 2, 8, 11, 6, 0, 0, 14, 79, 199, 365, 552, 719, 826, 843, 766, 616, 430, 252, 114, 30, 0, 0, 3, 11, 11, 5, 0, 0, 0, 1, 5, 7, 7, 5, 3, 2, 1, 0, 1, 2, 4, 6, 7, 5, 2, 0, 0, 0, 3, 10, 14, 8, 0, 0, 16, 94, 240, 445, 680, 895, 1040, 1078, 999, 825, 598, 370, 184, 63, 4, 0, 0, 9, 12, 9, 4, 2, 6, 12, 17, 18, 15, 9, 4, 0, 0, 0, 2, 4, 5, 4, 1, 0, 0, 0, 3, 10, 13, 7, 0, 0, 19, 100, 246, 452, 685, 897, 1038, 1071, 988, 811, 583, 357, 174, 56, 1, 0, 0, 10, 13, 7, 0, 0, 0, 0, 2, 4, 4, 3, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 4, 5, 7, 7, 6, 4, 2, 0, 0, 0, 0, 1, 2, 3, 4, 3, 1, 0, 0, 0, 2, 7, 8, 5, 0, 0, 14, 71, 175, 323, 494, 655, 769, 810, 767, 651, 490, 321, 174, 71, 13, 0, 0, 4, 13, 14, 8, 0, 0, 0, 39, 118, 240, 392, 548, 677, 748, 745, 667, 534, 376, 226, 108, 34, 1, 0, 0, 6, 6, 2, 0, 0, 2, 7, 12, 12, 9, 4, 0, 0, 0, 4, 7, 5, 0, 0, 11, 56, 142, 270, 424, 577, 697, 753, 732, 639, 497, 347, 229, 179, 211, 317, 469, 623, 737, 780, 738, 625, 470, 317, 208, 172, 219, 336, 493, 646, 755, 790, 742, 622, 462, 302, 181, 128, 154, 248, 384, 525, 634, 685, 667, 586, 461, 322, 194, 95, 33, 2, 0, 0, 3, 8, 8, 4, 0, 0, 2, 39, 115, 236, 392, 559, 707, 803, 825, 766, 640, 476, 311, 183, 120, 134, 218, 351, 499, 625, 698, 699, 627, 499, 347, 209, 124, 118, 200, 357, 559, 763, 924, 1006, 992, 886, 714, 512, 318, 163, 62, 10, 0, 0, 5, 7, 4, 0, 0, 0, 0, 2, 3, 3, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 5, 6, 6, 7, 8, 8, 8, 8, 8, 8, 9, 10, 11, 12, 13, 14, 12, 10, 8, 5, 2, 1, 0, 0, 0, 0, 1, 4, 6, 9, 11, 12, 11, 9, 8, 6, 6, 5, 4, 3, 1, 0, 0, 0, 1, 3, 3, 0, 0, 0, 21, 70, 151, 261, 388, 512, 611, 665, 664, 608, 509, 385, 259, 150, 69, 21, 0, 0, 0, 5, 6, 3, 0, 0, 3, 29, 82, 163, 268, 383, 491, 573, 613, 602, 545, 450, 338, 226, 130, 60, 18, 0, 0, 0, 4, 6, 4, 0, 0, 0, 29, 91, 192, 330, 491, 651, 784, 865, 879, 823, 707, 554, 390, 240, 124, 48, 9, 0, 0, 2, 3, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 4, 4, 4, 2, 2, 1, 1, 1, 0, 0, 0, 9, 31, 71, 129, 203, 285, 362, 424, 459, 462, 433, 377, 303, 224, 149, 87, 42, 14, 1, 0, 0, 1, 1, 0, 0, 0, 9, 34, 78, 143, 225, 318, 408, 484, 532, 545, 520, 464, 388, 309, 245, 211, 214, 254, 321, 399, 470, 518, 533, 510, 458, 388, 318, 266, 244, 259, 308, 381, 463, 534, 580, 588, 559, 499, 421, 345, 288, 264, 280, 333, 411, 500, 579, 633, 649, 623, 559, 468, 363, 258, 166, 94, 45, 16, 2, 0, 0, 2, 4, 5, 6, 7, 8, 8, 9, 9, 9, 9, 9, 8, 7, 6, 6, 5, 5, 6, 7, 9, 9, 9, 9, 7, 6, 4, 3, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 12, 35, 75, 133, 208, 292, 378, 455, 511, 540, 537, 505, 452, 388, 328, 284, 266, 278, 318, 379, 448, 512, 557, 576, 562, 518, 450, 368, 280, 198, 127, 73, 36, 14, 3, 0, 0, 0, 0, 0, 0, 0, 2, 8, 18, 34, 57, 89, 128, 172, 215, 254, 282, 296, 293, 275, 245, 207, 165, 124, 87, 56, 32, 16, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 13, 28, 50, 81, 119, 162, 206, 248, 282, 305, 313, 304, 282, 248, 206, 163, 121, 85, 55, 32, 17, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 8, 20, 39, 65, 99, 139, 184, 231, 277, 317, 349, 367, 371, 360, 334, 297, 254, 207, 162, 121, 86, 57, 35, 19, 9, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 10, 18, 30, 45, 63, 84, 106, 129, 152, 172, 189, 202, 207, 206, 198, 184, 165, 142, 119, 96, 74, 56, 42, 31, 23, 18, 17, 18, 22, 30, 42, 57, 74, 93, 112, 129, 143, 153, 160, 163, 161, 156, 146, 133, 117, 100, 82, 66, 51, 39, 29, 22, 17, 14, 14, 17, 23, 31, 42, 55, 70, 87, 105, 123, 140, 156, 170, 180, 187, 190, 191, 188, 185, 180, 176, 172, 169, 167, 166, 166, 166, 166, 165, 162, 157, 151, 142, 132, 120, 107, 93, 79, 65, 54, 45, 38, 33, 30, 29, 29, 31, 35, 42, 52, 62, 74, 86, 97, 107, 116, 123, 129, 134, 137, 138, 138, 138, 137, 138, 138, 140, 142, 143, 145, 145, 145, 144, 142, 138, 133, 127, 118, 108, 98, 87, 78, 69, 62, 55, 50, 45, 42, 39, 37, 37, 38, 40, 43, 47, 52, 56, 61, 66, 69, 71, 72, 72, 71, 69, 68, 66, 64, 61, 56, 50, 44, 37, 30, 25, 21, 18, 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, 1, 2, 3, 4, 5, 6, 6, 7, 7, 7],
"peakC": [0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 7, 8, 8, 9, 9, 9, 9, 9, 9, 8, 8, 9, 9, 10, 11, 12, 12, 12, 12, 12, 12, 12, 13, 13, 14, 14, 15, 15, 15, 15, 16, 16, 17, 17, 17, 17, 17, 18, 18, 19, 19, 19, 19, 19, 20, 20, 21, 22, 22, 22, 22, 22, 22, 22, 23, 25, 26, 27, 27, 28, 28, 28, 28, 29, 29, 30, 30, 30, 30, 30, 30, 30, 31, 32, 33, 34, 34, 34, 34, 34, 33, 33, 33, 33, 34, 36, 37, 38, 38, 38, 38, 39, 39, 40, 41, 41, 42, 42, 41, 40, 40, 40, 41, 43, 46, 48, 50, 50, 49, 47, 45, 44, 43, 44, 45, 47, 48, 48, 48, 48, 48, 48, 49, 50, 50, 51, 51, 50, 50, 50, 50, 51, 51, 52, 52, 52, 52, 53, 53, 55, 56, 57, 58, 58, 57, 56, 55, 55, 56, 57, 57, 58, 58, 58, 58, 58, 59, 61, 62, 63, 63, 63, 62, 62, 61, 60, 61, 62, 65, 68, 72, 75, 77, 78, 80, 83, 90, 100, 113, 128, 144, 157, 171, 186, 207, 236, 274, 317, 359, 391, 404, 393, 359, 306, 244, 183, 132, 94, 73, 64, 65, 71, 78, 85, 90, 93, 93, 91, 88, 83, 77, 71, 65, 60, 56, 51, 47, 43, 40, 37, 36, 36, 37, 40, 44, 47, 49, 51, 51, 50, 48, 47, 46, 45, 45, 44, 43, 42, 41, 39, 38, 38, 37, 37, 37, 38, 39, 41, 45, 49, 54, 59, 64, 69, 75, 81, 88, 94, 101, 107, 112, 117, 121, 123, 124, 123, 121, 117, 111, 106, 100, 95, 90, 86, 82, 78, 74, 69, 65, 61, 58, 57, 56, 57, 59, 62, 65, 70, 74, 78, 82, 86, 90, 95, 100, 105, 112, 119, 126, 133, 139, 146, 153, 159, 164, 169, 171, 172, 172, 169, 166, 162, 157, 151, 144, 137, 130, 123, 116, 108, 100, 92, 82, 73, 64, 56, 49, 43, 38, 34, 30, 27, 25, 23, 21, 19, 18, 16, 15, 13, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 12, 12, 11, 10, 9, 9, 9, 9, 9, 10, 10, 10, 10, 9, 8, 8, 8, 8, 9, 11, 13, 14, 16, 17, 18, 18, 19, 20, 22, 25, 29, 34, 39, 44, 49, 54, 60, 65, 72, 78, 85, 92, 99, 106, 113, 119, 126, 132, 137, 140, 143, 143, 143, 142, 139, 137, 134, 131, 129, 128, 127, 129, 132, 136, 142, 149, 156, 164, 170, 176, 182, 189, 197, 206, 217, 228, 239, 247, 253, 257, 258, 257, 255, 252, 248, 243, 238, 232, 225, 217, 208, 199, 188, 178, 167, 157, 147, 138, 129, 120, 110, 102, 93, 86, 79, 72, 66, 59, 53, 48, 43, 38, 34, 31, 28, 25, 23, 22, 22, 22, 22, 23, 24, 25, 28, 31, 35, 39, 43, 47, 50, 52, 55, 58, 61, 64, 68, 71, 73, 74, 74, 74, 74, 74, 75, 74, 73, 70, 66, 62, 57, 53, 50, 48, 45, 43, 40, 36, 33, 30, 29, 29, 29, 31, 33, 35, 38, 41, 46, 50, 55, 61, 66, 71, 76, 82, 88, 94, 101, 106, 111, 115, 117, 119, 121, 121, 122, 121, 119, 117, 113, 109, 103, 97, 90, 83, 75, 67, 59, 52, 46, 40, 35, 31, 26, 22, 18, 14, 11, 9, 7, 6, 6, 5, 4, 3, 2, 2, 1, 2, 2, 3, 3, 3, 3, 3, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 6, 7, 8, 9, 9, 10, 10, 11, 12, 15, 17, 20, 24, 28, 33, 38, 44, 50, 56, 63, 71, 79, 89, 99, 109, 119, 130, 140, 150, 160, 169, 179, 188, 196, 203, 209, 213, 214, 214, 211, 207, 200, 192, 182, 171, 160, 148, 137, 125, 114, 102, 92, 82, 73, 66, 61, 57, 55, 54, 55, 55, 57, 60, 63, 68, 75, 82, 91, 101, 111, 122, 133, 143, 154, 165, 175, 185, 194, 203, 210, 216, 219, 221, 221, 219, 216, 212, 207, 202, 197, 191, 184, 178, 172, 166, 161, 157, 153, 150, 147, 146, 146, 148, 152, 157, 163, 169, 174, 178, 182, 185, 187, 190, 192, 194, 195, 194, 192, 188, 183, 177, 172, 168, 164, 160, 156, 152, 149, 146, 146, 149, 153, 159, 165, 171, 177, 183, 190, 197, 205, 212, 218, 223, 225, 224, 222, 218, 214, 208, 201, 193, 184, 174, 163, 151, 138, 125, 111, 99, 87, 77, 68, 61, 53, 46, 40, 34, 28, 23, 20, 17, 14, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 6, 5, 4, 3, 2, 2, 3, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 3, 4, 6, 8, 10, 13, 16, 20, 24, 28, 33, 39, 46, 52, 59, 66, 72, 79, 85, 93, 101, 110, 120, 131, 143, 154, 166, 176, 185, 191, 194, 195, 194, 192, 189, 184, 179, 172, 163, 153, 141, 128, 114, 101, 88, 76, 65, 55, 47, 39, 33, 27, 21, 16, 12, 9, 6, 4, 3, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 4, 5, 5, 6, 7, 9, 11, 13, 17, 20, 24, 28, 33, 37, 42, 47, 52, 58, 64, 70, 77, 83, 88, 92, 94, 95, 94, 92, 90, 88, 85, 82, 78, 73, 67, 61, 54, 48, 42, 36, 31, 26, 22, 19, 16, 14, 13, 12, 11, 9, 7, 6, 5, 4, 4, 4, 5, 5, 4, 3, 3, 2, 2, 3, 4, 6, 7, 7, 8, 8, 9, 11, 14, 18, 22, 26, 31, 36, 41, 47, 54, 63, 74, 86, 100, 114, 129, 143, 157, 170, 184, 198, 210, 223, 234, 244, 253, 261, 268, 273, 278, 280, 282, 282, 282, 282, 283, 283, 282, 279, 274, 266, 257, 246, 235, 223, 211, 199, 187, 176, 165, 155, 147, 142, 139, 138, 139, 142, 147, 155, 164, 176, 189, 204, 218, 231, 243, 253, 262, 268, 272, 272, 269, 263, 253, 241, 227, 211, 194, 177, 160, 142, 125, 108, 92, 78, 66, 55, 45, 37, 30, 23, 17, 13, 9, 7, 6, 5, 4, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 4, 4, 3, 2, 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, 2, 4, 7, 11, 15, 21, 28, 36, 46, 57, 69, 83, 97, 112, 127, 145, 164, 183, 202, 220, 233, 241, 244, 242, 237, 229, 219, 209, 197, 183, 167, 149, 130, 111, 93, 78, 65, 55, 46, 39, 32, 26, 22, 18, 15, 12, 10, 8, 7, 7, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 3, 3, 3, 3, 3, 3, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 10, 15, 21, 30, 41, 53, 66, 81, 96, 113, 131, 150, 168, 186, 202, 215, 226, 233, 239, 242, 244, 245, 245, 243, 240, 236, 233, 230, 227, 224, 219, 212, 202, 191, 179, 167, 156, 144, 133, 122, 109, 96, 82, 69, 57, 47, 39, 32, 27, 22, 18, 15, 12, 10, 9, 8, 8, 9, 8, 8, 6, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 1, 1, 1, 2, 2, 2, 2, 3, 4, 6, 7, 9, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 7, 6, 6, 6, 6, 7, 7, 7, 7, 6, 5, 4, 4, 3, 3, 3, 3, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 4, 5, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 7, 7, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 9, 10, 11, 12, 14, 16, 21, 27, 34, 44, 54, 66, 78, 92, 107, 124, 141, 159, 175, 189, 201, 208, 211, 211, 207, 199, 189, 177, 162, 146, 130, 113, 97, 82, 68, 57, 47, 38, 31, 25, 20, 15, 11, 8, 5, 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, 0, 2, 6, 12, 20, 31, 43, 58, 76, 95, 116, 140, 165, 191, 218, 243, 265, 283, 294, 298, 293, 281, 263, 240, 216, 190, 165, 141, 119, 99, 80, 63, 49, 37, 28, 22, 17, 14, 11, 9, 8, 6, 5, 5, 5, 5, 4, 4, 3, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 3, 5, 6, 7, 7, 8, 8, 9, 10, 11, 12, 13, 14, 14, 15, 15, 15, 15, 15, 15, 15, 14, 14, 14, 14, 15, 17, 19, 23, 28, 34, 44, 57, 75, 96, 121, 147, 175, 202, 227, 252, 274, 294, 311, 324, 333, 337, 338, 335, 329, 323, 316, 311, 307, 304, 301, 298, 296, 293, 290, 288, 287, 287, 288, 290, 292, 294, 296, 298, 300, 302, 304, 305, 306, 306, 307, 307, 307, 307, 308, 309, 311, 314, 317, 320, 321, 320, 316, 308, 298, 286, 274, 263, 255, 247, 240, 232, 223, 214, 205, 196, 188, 180, 171, 160, 148, 133, 117, 100, 84, 69, 56, 45, 36, 28, 22, 17, 13, 10, 7, 5, 4, 2, 2, 3, 5, 10, 16, 25, 35, 48, 63, 80, 100, 122, 146, 171, 197, 220, 240, 255, 264, 266, 262, 251, 237, 218, 198, 176, 154, 133, 113, 96, 83, 74, 71, 74, 82, 94, 111, 130, 151, 174, 196, 217, 235, 250, 262, 272, 280, 288, 295, 304, 311, 319, 324, 328, 331, 334, 336, 338, 341, 343, 344, 343, 342, 340, 339, 339, 341, 346, 350, 353, 354, 351, 343, 331, 316, 296, 274, 249, 221, 193, 164, 137, 112, 91, 76, 65, 60, 60, 62, 68, 76, 86, 99, 113, 130, 147, 163, 177, 187, 195, 200, 204, 209, 216, 225, 235, 247, 261, 274, 285, 295, 303, 309, 313, 315, 315, 312, 304, 290, 269, 243, 212, 181, 151, 125, 102, 83, 66, 52, 40, 30, 22, 15, 9, 6, 3, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 3, 4, 6, 8, 11, 16, 23, 33, 47, 65, 86, 109, 135, 161, 189, 217, 244, 271, 295, 316, 332, 342, 347, 346, 341, 332, 320, 308, 296, 285, 275, 268, 261, 254, 247, 238, 226, 212, 196, 179, 160, 140, 121, 102, 84, 68, 53, 40, 30, 22, 17, 13, 11, 10, 9, 8, 9, 11, 15, 22, 31, 44, 60, 79, 101, 125, 150, 175, 198, 220, 240, 258, 273, 286, 295, 301, 302, 299, 295, 290, 285, 282, 280, 279, 276, 272, 264, 254, 242, 230, 218, 208, 200, 194, 189, 184, 180, 175, 170, 164, 158, 151, 143, 133, 122, 110, 96, 82, 69, 56, 45, 35, 27, 19, 14, 9, 5, 3, 2, 1, 0, 0, 0, 1, 5, 12, 22, 37, 54, 75, 98, 124, 152, 183, 213, 243, 269, 289, 303, 309, 307, 298, 283, 263, 238, 211, 181, 151, 123, 97, 76, 60, 48, 41, 37, 36, 38, 42, 48, 56, 67, 78, 90, 100, 108, 112, 112, 108, 102, 95, 87, 79, 71, 63, 55, 46, 37, 29, 22, 16, 11, 8, 6, 5, 4, 4, 4, 4, 4, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 7, 11, 16, 23, 32, 45, 62, 82, 104, 126, 147, 166, 183, 197, 209, 219, 225, 229, 228, 226, 222, 218, 215, 216, 218, 224, 230, 236, 241, 243, 242, 235, 224, 209, 190, 170, 149, 128, 110, 93, 78, 64, 51, 39, 30, 23, 18, 15, 13, 11, 10, 8, 7, 5, 4, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 5, 11, 20, 30, 42, 57, 74, 94, 117, 141, 165, 187, 206, 219, 227, 228, 224, 215, 202, 184, 163, 140, 117, 95, 75, 57, 44, 33, 24, 18, 13, 10, 8, 8, 7, 7, 6, 6, 5, 5, 5, 6, 7, 8, 9, 10, 10, 10, 10, 10, 11, 12, 15, 20, 30, 43, 61, 82, 105, 131, 157, 185, 214, 242, 269, 292, 310, 321, 326, 327, 325, 323, 325, 330, 338, 349, 360, 369, 375, 376, 372, 364, 350, 331, 308, 279, 246, 210, 174, 139, 109, 83, 63, 48, 36, 27, 20, 14, 9, 6, 4, 4, 5, 6, 8, 10, 14, 20, 29, 43, 61, 83, 109, 137, 166, 194, 222, 246, 267, 283, 293, 297, 296, 291, 285, 278, 273, 270, 269, 271, 273, 275, 277, 278, 279, 280, 281, 283, 286, 292, 302, 316, 334, 356, 378, 398, 412, 418, 414, 399, 374, 341, 303, 262, 222, 184, 150, 120, 93, 71, 51, 36, 24, 16, 11, 9, 9, 9, 10, 10, 9, 7, 6, 5, 5, 5, 5, 5, 4, 3, 2, 2, 3, 5, 9, 14, 22, 30, 41, 55, 72, 92, 115, 139, 162, 182, 198, 209, 216, 220, 222, 224, 227, 230, 235, 242, 251, 262, 275, 289, 303, 315, 323, 324, 318, 304, 283, 257, 226, 194, 161, 130, 102, 77, 55, 38, 25, 15, 8, 4, 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, 3, 3, 3, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 8, 15, 25, 38, 55, 76, 102, 135, 172, 214, 257, 298, 334, 363, 381, 389, 386, 374, 354, 330, 305, 279, 256, 235, 218, 204, 193, 184, 175, 167, 157, 145, 132, 116, 100, 84, 68, 55, 43, 33, 25, 19, 14, 11, 9, 8, 7, 5, 3, 1, 0, 1, 4, 11, 20, 32, 47, 64, 84, 108, 137, 169, 203, 238, 269, 294, 310, 317, 314, 302, 283, 258, 229, 197, 165, 134, 105, 80, 59, 43, 32, 24, 20, 17, 16, 15, 14, 12, 11, 10, 9, 9, 9, 9, 9, 10, 10, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 6, 6, 6, 5, 5, 4, 4, 3, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 3, 8, 17, 30, 48, 71, 98, 129, 164, 201, 239, 278, 315, 346, 369, 380, 378, 362, 335, 300, 261, 221, 182, 147, 115, 87, 64, 45, 31, 22, 17, 14, 13, 12, 11, 10, 9, 8, 9, 10, 13, 17, 25, 36, 51, 72, 97, 127, 158, 191, 222, 249, 272, 288, 297, 300, 295, 286, 274, 261, 248, 236, 226, 218, 213, 209, 206, 202, 197, 190, 179, 165, 148, 129, 111, 92, 75, 60, 47, 36, 27, 20, 15, 12, 10, 9, 9, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 4, 3, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 13, 26, 45, 71, 103, 140, 181, 224, 267, 307, 342, 369, 387, 392, 384, 362, 328, 286, 241, 196, 155, 119, 91, 68, 50, 37, 26, 19, 14, 11, 11, 11, 13, 14, 14, 14, 12, 10, 8, 6, 5, 4, 4, 5, 5, 5, 5, 4, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 8, 16, 27, 44, 64, 90, 119, 152, 185, 217, 244, 265, 278, 282, 276, 262, 241, 215, 185, 154, 124, 97, 73, 53, 37, 26, 17, 12, 9, 6, 5, 3, 2, 1, 0, 0, 0, 1, 3, 8, 17, 29, 46, 66, 89, 113, 137, 160, 180, 196, 209, 217, 221, 223, 223, 225, 230, 242, 261, 286, 316, 347, 377, 401, 416, 421, 414, 395, 365, 327, 284, 238, 192, 150, 113, 82, 58, 39, 26, 17, 12, 10, 9, 9, 9, 9, 9, 8, 6, 5, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 3, 3, 4, 7, 13, 23, 37, 55, 78, 104, 133, 164, 193, 220, 243, 260, 269, 272, 267, 257, 243, 227, 212, 200, 191, 187, 186, 188, 190, 190, 188, 181, 171, 156, 139, 120, 101, 82, 65, 49, 35, 25, 16, 11, 8, 6, 5, 5, 6, 6, 6, 7, 7, 6, 6, 6, 5, 4, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 10, 10, 11, 11, 11, 11, 11, 10, 9, 8, 7, 7, 6, 6, 5, 4, 4, 2, 1, 0, 0, 0, 1, 8, 21, 40, 68, 103, 145, 194, 247, 303, 358, 407, 446, 471, 480, 472, 451, 421, 386, 351, 321, 297, 281, 272, 267, 265, 263, 257, 247, 230, 208, 183, 154, 126, 99, 76, 56, 41, 30, 23, 18, 16, 14, 13, 12, 10, 8, 7, 5, 5, 5, 7, 10, 16, 24, 35, 50, 68, 90, 114, 140, 165, 187, 202, 209, 208, 198, 182, 162, 139, 115, 92, 71, 52, 36, 23, 15, 9, 6, 5, 3, 3, 2, 1, 1, 1, 2, 3, 3, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 7, 18, 35, 59, 90, 127, 169, 214, 258, 298, 331, 353, 362, 358, 341, 314, 278, 237, 193, 149, 109, 74, 47, 28, 17, 13, 16, 25, 41, 64, 92, 126, 165, 207, 248, 286, 317, 337, 345, 340, 326, 304, 280, 256, 237, 223, 214, 211, 211, 213, 215, 214, 209, 198, 181, 159, 133, 106, 81, 60, 42, 29, 20, 13, 9, 6, 3, 2, 1, 1, 2, 2, 3, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 10, 22, 42, 68, 100, 137, 178, 220, 261, 298, 328, 348, 356, 352, 335, 307, 270, 229, 187, 146, 109, 79, 55, 37, 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, 1, 4, 10, 18, 31, 49, 74, 106, 144, 186, 228, 268, 301, 324, 335, 332, 317, 290, 255, 214, 172, 131, 96, 67, 44, 29, 18, 12, 11, 13, 20, 32, 48, 70, 95, 122, 149, 174, 194, 207, 212, 209, 197, 179, 156, 130, 104, 79, 57, 38, 23, 12, 5, 2, 2, 6, 12, 23, 36, 54, 76, 102, 129, 156, 181, 202, 217, 226, 229, 229, 227, 226, 230, 239, 256, 281, 311, 343, 372, 393, 402, 397, 377, 345, 303, 255, 206, 158, 115, 79, 51, 30, 17, 9, 5, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 4, 4, 3, 3, 3, 2, 2, 2, 2, 3, 4, 5, 6, 7, 7, 6, 5, 4, 3, 2, 2, 2, 3, 7, 14, 26, 46, 75, 112, 156, 203, 249, 290, 320, 339, 344, 335, 312, 279, 238, 193, 148, 107, 72, 46, 28, 17, 11, 8, 7, 7, 7, 6, 5, 4, 2, 1, 0, 0, 2, 9, 20, 39, 65, 99, 141, 189, 240, 288, 329, 360, 377, 379, 368, 347, 320, 292, 268, 253, 248, 255, 271, 292, 313, 327, 332, 323, 303, 272, 235, 194, 154, 117, 84, 58, 37, 22, 12, 6, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 6, 6, 5, 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, 2, 8, 18, 35, 57, 84, 116, 150, 184, 215, 239, 255, 260, 254, 236, 210, 177, 142, 108, 78, 54, 35, 23, 15, 11, 9, 8, 8, 9, 9, 10, 10, 11, 11, 11, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 8, 7, 8, 10, 16, 25, 39, 56, 78, 104, 132, 162, 192, 218, 238, 249, 248, 236, 214, 185, 151, 118, 87, 61, 41, 27, 17, 13, 12, 15, 21, 31, 46, 65, 89, 116, 146, 175, 200, 220, 231, 233, 225, 208, 185, 156, 126, 97, 71, 50, 34, 23, 17, 14, 12, 10, 9, 7, 6, 5, 4, 4, 5, 5, 4, 4, 3, 3, 4, 5, 7, 8, 8, 7, 6, 4, 3, 2, 2, 1, 3, 7, 17, 34, 60, 94, 135, 180, 225, 266, 300, 322, 333, 329, 312, 283, 245, 201, 157, 115, 81, 54, 36, 26, 20, 18, 18, 17, 17, 15, 14, 12, 10, 9, 8, 7, 6, 5, 4, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 5, 6, 8, 10, 11, 13, 14, 14, 15, 16, 17, 18, 20, 21, 21, 21, 20, 19, 18, 17, 16, 15, 14, 13, 13, 14, 18, 27, 41, 63, 91, 124, 161, 196, 227, 249, 261, 262, 255, 242, 227, 216, 212, 219, 238, 269, 309, 351, 389, 415, 425, 415, 385, 339, 284, 224, 167, 117, 76, 45, 24, 11, 4, 2, 5, 11, 21, 36, 56, 82, 113, 147, 181, 211, 233, 244, 244, 231, 210, 182, 150, 119, 90, 65, 44, 29, 17, 10, 6, 4, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 7, 9, 11, 13, 14, 16, 16, 16, 15, 14, 12, 11, 11, 11, 13, 14, 14, 14, 13, 12, 11, 9, 8, 7, 6, 5, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 2, 1, 1, 1, 2, 3, 3, 4, 4, 5, 6, 6, 6, 6, 5, 4, 2, 0, 0, 0, 6, 19, 42, 76, 119, 170, 227, 286, 342, 389, 424, 440, 435, 409, 365, 308, 245, 183, 130, 87, 57, 37, 26, 21, 18, 17, 16, 15, 15, 15, 15, 15, 14, 13, 12, 11, 10, 10, 10, 10, 10, 10, 10, 9, 8, 6, 4, 3, 3, 5, 10, 21, 39, 65, 97, 135, 175, 213, 244, 265, 273, 268, 250, 222, 188, 152, 117, 86, 62, 43, 31, 24, 20, 18, 17, 16, 15, 13, 11, 10, 8, 8, 7, 6, 6, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 4, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 3, 13, 33, 64, 107, 161, 222, 287, 350, 404, 443, 463, 461, 436, 392, 334, 268, 203, 143, 94, 57, 31, 15, 7, 3, 1, 1, 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, 1, 2, 3, 4, 5, 5, 5, 6, 6, 6, 6, 7, 6, 6, 5, 4, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 9, 10, 11, 11, 11, 11, 11, 11, 11, 10, 9, 7, 4, 3, 1, 0, 0, 0, 0, 0, 3, 12, 27, 50, 81, 120, 165, 210, 253, 288, 310, 318, 308, 284, 248, 206, 162, 122, 87, 59, 39, 26, 18, 14, 11, 10, 10, 10, 9, 9, 9, 9, 9, 8, 7, 6, 5, 4, 4, 3, 3, 3, 3, 2, 2, 1, 1, 1, 1, 2, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 6, 7, 7, 8, 9, 9, 8, 7, 7, 6, 6, 6, 7, 7, 7, 6, 6, 5, 5, 4, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 5, 16, 35, 61, 96, 136, 180, 223, 260, 287, 299, 294, 273, 239, 196, 151, 109, 74, 48, 30, 18, 11, 7, 4, 3, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 3, 4, 5, 6, 6, 5, 4, 3, 2, 1, 0, 0, 0, 2, 11, 29, 60, 104, 160, 225, 292, 353, 403, 433, 440, 423, 385, 330, 266, 200, 140, 90, 53, 28, 13, 6, 4, 4, 5, 7, 9, 11, 12, 14, 15, 16, 16, 16, 16, 16, 16, 15, 15, 14, 14, 13, 12, 12, 12, 12, 12, 12, 11, 10, 9, 8, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 4, 4, 4, 5, 5, 6, 7, 7, 8, 9, 10, 10, 10, 10, 9, 9, 8, 7, 5, 4, 3, 3, 3, 3, 4, 5, 6, 7, 7, 7, 6, 5, 5, 5, 5, 4, 4, 3, 3, 2, 1, 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, 8, 25, 55, 99, 155, 219, 284, 343, 390, 417, 421, 401, 361, 305, 241, 177, 119, 72, 38, 16, 4, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 12, 13, 13, 14, 14, 14, 13, 13, 11, 10, 7, 5, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 3, 4, 5, 6, 7, 7, 7, 7, 7, 6, 6, 7, 7, 7, 7, 6, 4, 3, 1, 1, 0, 0, 0, 0, 3, 13, 32, 62, 105, 158, 219, 281, 338, 384, 411, 417, 399, 360, 304, 238, 172, 112, 65, 31, 11, 1, 0, 0, 6, 17, 37, 69, 113, 169, 232, 296, 353, 394, 415, 411, 385, 341, 288, 236, 193, 165, 155, 163, 183, 208, 232, 247, 249, 236, 209, 173, 132, 93, 60, 36, 21, 14, 11, 11, 11, 11, 11, 11, 10, 9, 8, 6, 4, 2, 1, 1, 0, 0, 0, 1, 11, 32, 65, 111, 167, 229, 289, 341, 378, 395, 390, 363, 316, 257, 193, 131, 80, 41, 17, 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, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 7, 21, 47, 85, 135, 192, 250, 302, 340, 359, 355, 330, 288, 235, 178, 124, 79, 44, 21, 7, 1, 0, 0, 0, 3, 10, 24, 46, 76, 114, 156, 198, 234, 261, 273, 270, 250, 217, 175, 131, 88, 53, 27, 11, 3, 0, 0, 0, 0, 4, 17, 42, 80, 133, 196, 265, 331, 385, 420, 431, 416, 378, 326, 271, 225, 200, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 202, 230, 280, 342, 402, 448, 471, 464, 429, 370, 297, 219, 146, 87, 44, 17, 3, 0, 0, 2, 5, 7, 8, 9, 8, 7, 5, 3, 2, 2, 1, 0, 0, 0, 2, 15, 42, 87, 149, 225, 306, 383, 444, 481, 488, 465, 414, 345, 266, 189, 121, 68, 32, 11, 1, 0, 0, 2, 5, 6, 7, 7, 6, 6, 5, 4, 3, 3, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 3, 3, 4, 4, 5, 6, 8, 10, 12, 14, 17, 19, 21, 23, 24, 24, 22, 20, 18, 16, 14, 14, 15, 16, 17, 17, 17, 16, 15, 14, 13, 12, 12, 11, 11, 12, 13, 15, 16, 16, 16, 15, 13, 12, 11, 12, 13, 14, 15, 15, 15, 14, 12, 11, 10, 9, 9, 9, 10, 10, 9, 8, 8, 7, 6, 6, 6, 7, 8, 9, 11, 13, 15, 17, 19, 19, 19, 18, 16, 14, 12, 10, 9, 7, 5, 4, 2, 1, 1, 0, 0, 0, 2, 12, 30, 60, 99, 144, 189, 228, 254, 264, 255, 231, 195, 153, 111, 73, 43, 22, 8, 2, 0, 0, 2, 3, 4, 4, 3, 3, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 4, 6, 7, 8, 8, 8, 6, 4, 3, 2, 2, 2, 3, 4, 5, 5, 5, 4, 3, 3, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 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, 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, 0, 1, 3, 4, 6, 6, 7, 6, 4, 3, 2, 1, 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, 9, 29, 63, 112, 176, 246, 315, 371, 406, 413, 391, 346, 285, 217, 154, 101, 62, 37, 24, 18, 17, 18, 18, 17, 16, 13, 11, 10, 9, 8, 8, 7, 6, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 3, 19, 50, 98, 162, 233, 305, 365, 404, 417, 402, 361, 300, 229, 158, 96, 49, 18, 3, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 3, 4, 4, 3, 2, 2, 2, 2, 4, 6, 8, 10, 11, 12, 12, 12, 11, 10, 8, 7, 6, 6, 5, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 3, 4, 5, 6, 6, 6, 5, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 21, 49, 91, 143, 202, 258, 304, 332, 338, 321, 284, 234, 178, 125, 79, 46, 25, 14, 12, 14, 16, 18, 18, 18, 16, 15, 14, 14, 15, 16, 16, 17, 16, 16, 15, 14, 12, 12, 11, 11, 11, 11, 10, 10, 9, 8, 8, 8, 10, 11, 11, 11, 10, 8, 6, 3, 1, 0, 0, 5, 22, 54, 103, 166, 237, 307, 365, 403, 412, 393, 347, 283, 210, 140, 81, 39, 13, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 8, 21, 41, 67, 99, 132, 161, 182, 191, 187, 169, 142, 110, 78, 49, 28, 14, 7, 4, 4, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 1, 2, 4, 6, 7, 9, 10, 11, 12, 13, 13, 12, 11, 9, 8, 6, 4, 3, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 24, 53, 95, 146, 202, 253, 290, 309, 305, 280, 239, 189, 136, 88, 49, 22, 6, 0, 0, 0, 1, 0, 0, 0, 7, 31, 76, 145, 233, 333, 432, 514, 566, 578, 547, 478, 383, 278, 179, 98, 43, 11, 0, 0, 1, 3, 3, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 4, 19, 48, 92, 149, 211, 270, 316, 340, 339, 312, 267, 210, 151, 99, 59, 32, 18, 13, 14, 17, 19, 20, 19, 16, 13, 9, 6, 4, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 11, 11, 11, 11, 10, 9, 8, 7, 6, 5, 4, 4, 5, 7, 8, 10, 10, 10, 8, 7, 5, 4, 3, 3, 5, 7, 9, 11, 12, 13, 12, 10, 8, 7, 6, 5, 6, 7, 8, 9, 10, 9, 9, 8, 8, 8, 9, 9, 10, 9, 8, 6, 5, 4, 3, 2, 0, 0, 0, 7, 28, 67, 124, 195, 272, 341, 389, 409, 394, 350, 284, 208, 136, 76, 34, 9, 0, 0, 0, 1, 0, 0, 0, 3, 18, 46, 89, 146, 214, 283, 344, 387, 404, 390, 350, 288, 215, 143, 82, 37, 10, 0, 1, 8, 15, 20, 21, 21, 19, 18, 18, 19, 20, 20, 20, 19, 18, 17, 15, 14, 13, 12, 11, 10, 10, 11, 13, 15, 18, 20, 22, 23, 23, 23, 22, 21, 20, 18, 17, 15, 14, 13, 14, 15, 16, 16, 15, 12, 9, 5, 3, 2, 1, 0, 0, 0, 6, 22, 49, 88, 135, 183, 226, 254, 263, 251, 220, 175, 125, 78, 41, 16, 3, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 3, 5, 7, 8, 9, 9, 8, 6, 4, 2, 2, 2, 3, 4, 6, 7, 7, 7, 7, 6, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 5, 5, 4, 3, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 3, 3, 0, 0, 1, 23, 72, 152, 258, 377, 492, 581, 627, 622, 567, 472, 357, 240, 139, 65, 20, 0, 0, 2, 9, 14, 16, 16, 15, 14, 12, 11, 10, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 7, 8, 10, 12, 13, 14, 14, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 5, 6, 8, 10, 12, 14, 14, 15, 14, 14, 14, 14, 14, 13, 12, 9, 5, 2, 1, 1, 1, 1, 0, 0, 0, 13, 44, 98, 172, 260, 348, 421, 465, 471, 438, 373, 288, 198, 118, 56, 18, 0, 0, 0, 3, 5, 2, 0, 0, 5, 27, 66, 123, 191, 261, 321, 359, 370, 349, 303, 239, 169, 104, 53, 20, 3, 0, 0, 3, 6, 6, 5, 3, 2, 2, 3, 4, 5, 6, 5, 5, 3, 2, 1, 0, 0, 0, 1, 3, 4, 4, 5, 4, 3, 2, 1, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 3, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 3, 4, 5, 6, 6, 6, 5, 5, 6, 8, 12, 15, 18, 17, 14, 9, 4, 2, 3, 4, 3, 0, 0, 2, 28, 84, 176, 297, 429, 550, 636, 667, 638, 556, 438, 308, 187, 94, 33, 3, 0, 0, 5, 7, 3, 0, 0, 10, 48, 118, 220, 343, 472, 582, 653, 668, 624, 530, 405, 279, 177, 121, 119, 169, 255, 353, 440, 495, 507, 475, 406, 316, 221, 136, 70, 27, 4, 0, 0, 2, 4, 2, 0, 0, 5, 33, 89, 175, 287, 413, 533, 625, 670, 659, 593, 485, 356, 230, 125, 52, 12, 0, 0, 3, 7, 8, 7, 5, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 7, 7, 6, 5, 3, 1, 0, 0, 0, 1, 1, 0, 0, 3, 17, 44, 87, 141, 199, 251, 286, 298, 283, 244, 191, 133, 80, 40, 14, 1, 0, 0, 2, 3, 3, 3, 3, 3, 3, 2, 0, 0, 0, 0, 2, 4, 3, 0, 0, 1, 25, 78, 163, 273, 395, 506, 583, 611, 583, 505, 395, 273, 163, 79, 26, 1, 0, 0, 3, 5, 3, 0, 0, 0, 3, 18, 44, 81, 125, 171, 211, 236, 242, 228, 196, 153, 107, 65, 33, 12, 3, 2, 6, 12, 17, 20, 21, 20, 18, 16, 14, 11, 8, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 3, 4, 5, 5, 6, 6, 5, 5, 4, 4, 5, 6, 6, 5, 3, 0, 0, 0, 1, 2, 2, 0, 0, 0, 19, 61, 131, 226, 334, 438, 517, 554, 541, 480, 386, 276, 171, 88, 33, 5, 0, 0, 3, 5, 4, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 5, 6, 6, 6, 6, 5, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 3, 1, 0, 0, 1, 2, 2, 1, 0, 0, 6, 27, 67, 125, 198, 275, 344, 390, 405, 385, 334, 263, 184, 112, 56, 20, 2, 0, 0, 4, 6, 6, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 5, 4, 0, 0, 1, 30, 94, 197, 332, 481, 614, 705, 731, 687, 583, 441, 291, 161, 68, 15, 0, 0, 4, 9, 10, 7, 4, 3, 4, 6, 8, 10, 10, 9, 8, 7, 6, 5, 4, 4, 4, 4, 3, 1, 0, 0, 0, 2, 5, 4, 0, 0, 0, 25, 82, 178, 308, 452, 587, 683, 720, 689, 596, 462, 316, 183, 84, 24, 0, 0, 1, 6, 8, 5, 2, 1, 2, 4, 6, 8, 9, 9, 8, 8, 7, 5, 4, 2, 2, 2, 4, 6, 7, 8, 8, 7, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 8, 9, 9, 9, 9, 8, 8, 7, 7, 7, 8, 8, 8, 8, 7, 6, 5, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 4, 25, 67, 131, 212, 299, 377, 428, 439, 407, 336, 241, 144, 70, 40, 66, 148, 274, 419, 552, 646, 681, 649, 559, 431, 293, 170, 78, 23, 0, 0, 1, 5, 6, 4, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 3, 3, 4, 4, 4, 4, 4, 3, 2, 1, 0, 0, 0, 1, 2, 4, 7, 9, 10, 10, 9, 7, 5, 3, 1, 0, 0, 1, 2, 4, 6, 7, 7, 6, 4, 2, 1, 0, 0, 1, 2, 4, 5, 6, 6, 5, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 8, 10, 11, 8, 4, 1, 0, 1, 4, 5, 2, 0, 0, 14, 58, 137, 246, 371, 488, 572, 604, 576, 496, 381, 258, 147, 66, 18, 0, 0, 1, 5, 4, 2, 0, 0, 1, 3, 5, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 6, 7, 7, 8, 10, 13, 16, 19, 20, 19, 17, 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, 1, 2, 3, 4, 5, 5, 5, 4, 3, 3, 3, 3, 3, 4, 4, 5, 6, 6, 5, 4, 3, 2, 2, 2, 3, 5, 6, 8, 9, 9, 8, 7, 5, 4, 3, 3, 3, 3, 4, 4, 4, 3, 2, 2, 1, 1, 1, 2, 4, 6, 7, 8, 8, 7, 5, 4, 2, 1, 0, 0, 0, 1, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 12, 12, 11, 10, 9, 9, 9, 10, 10, 9, 7, 2, 0, 0, 0, 3, 6, 5, 0, 0, 5, 42, 118, 234, 379, 528, 651, 717, 708, 625, 485, 323, 179, 92, 88, 173, 334, 533, 727, 868, 923, 881, 754, 573, 379, 210, 89, 21, 0, 0, 3, 9, 10, 6, 0, 0, 0, 17, 63, 141, 250, 378, 502, 596, 636, 610, 521, 392, 253, 144, 92, 114, 205, 342, 492, 615, 683, 679, 605, 480, 331, 191, 86, 32, 34, 84, 164, 254, 332, 379, 388, 356, 294, 215, 136, 71, 27, 4, 0, 0, 4, 7, 7, 6, 5, 5, 6, 7, 9, 10, 10, 10, 9, 8, 7, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 6, 9, 11, 14, 15, 13, 8, 3, 0, 0, 3, 6, 5, 0, 0, 5, 45, 127, 257, 421, 593, 737, 818, 815, 728, 578, 401, 234, 107, 29, 0, 0, 0, 9, 12, 10, 3, 0, 0, 6, 46, 123, 239, 380, 525, 641, 699, 684, 595, 454, 292, 150, 59, 40, 94, 204, 342, 471, 561, 592, 559, 472, 354, 232, 126, 51, 10, 0, 0, 8, 16, 20, 21, 20, 20, 20, 21, 22, 23, 23, 22, 20, 18, 15, 13, 12, 13, 15, 18, 20, 20, 17, 13, 9, 6, 5, 5, 4, 1, 0, 2, 21, 63, 131, 220, 314, 394, 440, 438, 386, 297, 199, 123, 99, 147, 265, 432, 611, 759, 838, 828, 731, 570, 383, 211, 86, 28, 37, 98, 186, 272, 334, 357, 339, 287, 215, 141, 78, 33, 10, 4, 8, 15, 20, 21, 19, 15, 12, 11, 12, 14, 16, 16, 15, 13, 10, 7, 5, 4, 4, 5, 6, 7, 8, 8, 7, 6, 4, 3, 2, 2, 4, 6, 8, 10, 11, 11, 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, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 3, 4, 6, 6, 6, 6, 4, 3, 2, 1, 1, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 4, 5, 6, 7, 7, 7, 6, 5, 4, 4, 4, 5, 6, 8, 10, 11, 11, 11, 9, 7, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 9, 10, 9, 8, 7, 6, 6, 7, 8, 9, 11, 12, 12, 11, 10, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 8, 10, 10, 9, 6, 4, 2, 1, 2, 3, 5, 7, 7, 6, 5, 3, 1, 0, 0, 1, 2, 3, 2, 0, 0, 0, 0, 3, 7, 8, 3, 0, 0, 19, 80, 183, 322, 473, 604, 683, 688, 619, 493, 342, 199, 90, 24, 0, 0, 0, 5, 6, 4, 2, 0, 0, 0, 1, 22, 67, 138, 229, 324, 402, 442, 433, 379, 293, 195, 108, 44, 8, 0, 0, 3, 7, 6, 4, 1, 1, 2, 5, 7, 8, 9, 8, 7, 6, 5, 4, 3, 3, 2, 2, 3, 3, 3, 2, 2, 1, 1, 2, 3, 6, 7, 7, 4, 0, 0, 0, 0, 6, 9, 7, 0, 0, 7, 56, 154, 301, 477, 651, 782, 837, 802, 685, 516, 335, 177, 67, 9, 0, 0, 7, 12, 10, 4, 1, 0, 3, 7, 9, 8, 6, 4, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 4, 6, 4, 0, 0, 4, 37, 100, 192, 299, 398, 465, 484, 448, 369, 265, 162, 78, 24, 0, 0, 1, 8, 11, 12, 12, 15, 20, 27, 32, 32, 27, 19, 13, 10, 10, 11, 8, 0, 0, 2, 45, 134, 271, 440, 609, 739, 797, 765, 649, 477, 289, 130, 36, 24, 91, 217, 365, 498, 584, 604, 556, 457, 331, 207, 106, 39, 6, 0, 0, 5, 9, 10, 8, 5, 0, 0, 0, 14, 54, 118, 202, 289, 359, 396, 389, 340, 262, 174, 95, 37, 6, 0, 0, 9, 16, 18, 16, 11, 6, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 3, 3, 2, 0, 0, 0, 0, 4, 8, 7, 2, 0, 0, 27, 91, 193, 322, 453, 557, 606, 583, 490, 350, 195, 67, 2, 22, 131, 310, 521, 717, 852, 893, 832, 684, 484, 279, 113, 15, 0, 42, 132, 231, 312, 354, 349, 302, 230, 151, 81, 32, 6, 0, 0, 5, 8, 8, 6, 4, 4, 6, 9, 12, 13, 12, 10, 7, 4, 4, 5, 5, 4, 0, 0, 1, 22, 67, 137, 223, 307, 370, 395, 375, 315, 230, 143, 70, 22, 0, 0, 0, 5, 7, 5, 2, 1, 2, 5, 8, 10, 11, 11, 11, 10, 9, 8, 7, 6, 6, 7, 9, 12, 15, 18, 19, 18, 16, 12, 8, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 9, 9, 8, 6, 4, 1, 0, 0, 1, 3, 5, 7, 8, 8, 7, 5, 3, 2, 2, 3, 5, 7, 9, 10, 10, 9, 9, 8, 8, 9, 10, 12, 14, 15, 16, 16, 15, 12, 9, 5, 3, 2, 2, 3, 3, 2, 0, 0, 0, 1, 7, 11, 9, 0, 0, 2, 51, 152, 304, 485, 658, 781, 819, 764, 629, 451, 273, 131, 40, 0, 0, 0, 4, 6, 5, 4, 2, 0, 0, 0, 23, 89, 202, 356, 522, 666, 748, 746, 659, 506, 326, 159, 42, 0, 16, 92, 195, 293, 360, 381, 355, 290, 207, 125, 59, 18, 0, 0, 2, 7, 8, 6, 3, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 4, 3, 1, 0, 0, 0, 2, 3, 4, 5, 4, 3, 1, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 3, 3, 4, 3, 2, 1, 0, 0, 0, 0, 2, 4, 5, 4, 2, 0, 0, 0, 2, 7, 9, 4, 0, 0, 14, 69, 166, 295, 433, 546, 606, 595, 516, 393, 256, 136, 52, 7, 0, 0, 0, 6, 10, 11, 7, 0, 0, 0, 41, 132, 277, 458, 640, 781, 841, 801, 667, 473, 268, 103, 17, 27, 124, 277, 444, 579, 648, 634, 541, 395, 232, 91, 7, 1, 73, 206, 368, 517, 615, 637, 576, 448, 286, 137, 44, 38, 129, 297, 504, 698, 829, 862, 788, 625, 413, 205, 51, 0, 33, 173, 374, 584, 750, 830, 807, 690, 515, 327, 166, 57, 3, 0, 0, 11, 14, 10, 2, 0, 0, 3, 10, 14, 14, 9, 2, 0, 0, 0, 7, 14, 13, 3, 0, 0, 41, 148, 318, 532, 745, 905, 967, 913, 759, 546, 329, 153, 42, 0, 0, 4, 17, 18, 12, 3, 0, 0, 4, 9, 11, 12, 10, 8, 8, 7, 8, 8, 8, 9, 10, 12, 14, 16, 16, 15, 12, 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, 1, 1, 1, 2, 3, 4, 5, 5, 6, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 3, 5, 9, 13, 17, 19, 16, 10, 3, 0, 0, 2, 8, 11, 5, 0, 0, 18, 87, 207, 369, 542, 685, 761, 747, 649, 492, 318, 165, 58, 4, 0, 0, 9, 13, 10, 3, 0, 0, 2, 6, 8, 9, 7, 6, 4, 4, 4, 4, 5, 6, 8, 10, 14, 17, 19, 20, 18, 16, 13, 11, 12, 14, 16, 18, 15, 10, 3, 0, 0, 3, 10, 12, 5, 0, 0, 26, 106, 241, 420, 608, 763, 843, 823, 702, 509, 290, 103, 0, 0, 115, 319, 562, 784, 929, 963, 879, 703, 480, 262, 94, 1, 0, 41, 132, 231, 313, 357, 355, 312, 240, 159, 87, 34, 6, 0, 0, 6, 10, 9, 6, 2, 0, 1, 4, 7, 9, 8, 5, 0, 0, 0, 2, 6, 6, 2, 0, 0, 18, 68, 150, 252, 352, 427, 454, 426, 352, 251, 150, 68, 18, 0, 0, 2, 7, 8, 4, 0, 0, 0, 1, 5, 8, 10, 10, 10, 9, 7, 5, 4, 3, 2, 3, 4, 6, 8, 9, 10, 10, 10, 9, 9, 10, 12, 15, 17, 19, 19, 16, 12, 8, 4, 1, 0, 0, 0, 1, 2, 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, 1, 3, 5, 7, 8, 9, 9, 7, 6, 4, 3, 3, 4, 5, 7, 9, 10, 11, 10, 8, 7, 6, 7, 8, 10, 11, 10, 7, 4, 1, 0, 2, 4, 4, 2, 0, 0, 9, 41, 95, 164, 235, 289, 312, 296, 248, 179, 109, 51, 14, 0, 0, 2, 6, 7, 5, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 2, 3, 5, 6, 6, 6, 5, 4, 2, 2, 2, 2, 3, 2, 0, 0, 0, 0, 2, 6, 7, 3, 0, 0, 8, 45, 111, 199, 290, 363, 396, 381, 321, 234, 143, 67, 19, 0, 0, 2, 8, 10, 7, 4, 1, 1, 2, 5, 7, 8, 8, 8, 7, 6, 4, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 4, 6, 9, 12, 15, 18, 19, 18, 15, 12, 8, 6, 6, 8, 12, 15, 16, 12, 6, 0, 0, 0, 6, 12, 11, 2, 0, 0, 40, 131, 271, 439, 597, 703, 724, 652, 503, 316, 140, 20, 0, 44, 180, 358, 535, 665, 717, 678, 557, 384, 201, 53, 0, 5, 131, 336, 576, 794, 935, 961, 871, 690, 469, 263, 109, 21, 0, 0, 5, 13, 14, 11, 5, 0, 0, 0, 12, 63, 151, 272, 404, 515, 576, 569, 495, 375, 241, 124, 42, 1, 0, 0, 10, 15, 14, 9, 4, 3, 4, 6, 9, 11, 12, 12, 12, 12, 11, 9, 8, 8, 8, 9, 11, 13, 15, 16, 16, 16, 15, 15, 15, 15, 16, 16, 17, 16, 15, 13, 11, 8, 6, 5, 5, 4, 4, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 1, 2, 3, 5, 6, 6, 6, 5, 4, 2, 1, 0, 0, 1, 2, 3, 4, 4, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 7, 10, 11, 11, 9, 6, 3, 0, 0, 0, 1, 4, 6, 8, 8, 8, 7, 6, 6, 7, 10, 12, 14, 15, 14, 12, 8, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 9, 11, 12, 11, 9, 6, 3, 0, 0, 0, 2, 7, 12, 19, 24, 28, 28, 26, 21, 16, 11, 9, 8, 9, 10, 10, 9, 7, 5, 4, 4, 6, 7, 6, 2, 0, 0, 0, 4, 12, 16, 10, 0, 0, 9, 84, 222, 414, 624, 799, 893, 877, 757, 567, 358, 178, 57, 0, 0, 0, 14, 19, 14, 5, 0, 0, 0, 2, 4, 4, 3, 2, 2, 3, 4, 4, 4, 3, 2, 0, 0, 0, 0, 0, 2, 5, 8, 10, 11, 10, 7, 4, 1, 0, 0, 0, 2, 5, 7, 9, 11, 11, 10, 9, 7, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 2, 4, 6, 7, 8, 8, 7, 6, 5, 5, 6, 6, 4, 1, 0, 0, 0, 5, 10, 11, 4, 0, 0, 24, 96, 214, 363, 510, 619, 658, 614, 494, 328, 156, 23, 0, 14, 168, 408, 686, 936, 1094, 1118, 1001, 780, 517, 276, 103, 12, 0, 0, 10, 14, 10, 4, 1, 3, 1, 0, 0, 10, 71, 188, 354, 537, 692, 776, 763, 657, 488, 304, 147, 44, 0, 0, 1, 13, 15, 9, 1, 0, 0, 0, 1, 3, 3, 3, 5, 9, 15, 20, 24, 25, 24, 21, 17, 13, 9, 4, 0, 0, 0, 0, 7, 12, 10, 1, 0, 0, 36, 122, 255, 413, 560, 656, 671, 602, 469, 308, 161, 56, 1, 0, 0, 12, 19, 17, 10, 4, 1, 2, 3, 5, 5, 5, 5, 5, 6, 6, 5, 4, 2, 0, 0, 0, 0, 1, 2, 3, 3, 2, 1, 0, 1, 4, 9, 12, 12, 7, 0, 0, 0, 4, 17, 23, 15, 0, 0, 13, 117, 311, 578, 866, 1103, 1221, 1185, 1005, 735, 447, 208, 56, 0, 0, 6, 24, 26, 16, 3, 0, 0, 0, 2, 5, 5, 6, 10, 17, 25, 32, 37, 38, 37, 35, 30, 24, 15, 5, 0, 0, 7, 19, 27, 20, 1, 0, 0, 83, 256, 510, 803, 1066, 1227, 1240, 1099, 843, 538, 259, 61, 0, 0, 101, 250, 401, 515, 564, 540, 452, 328, 200, 95, 28, -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, 13, 13, 5, 0, 0, 13, 85, 215, 390, 576, 725, 795, 764, 642, 464, 277, 126, 31, 0, 0, 5, 16, 17, 10, 1, 0, 0, 3, 9, 14, 16, 16, 15, 13, 13, 15, 18, 21, 18, 9, 0, 0, 10, 63, 156, 280, 410, 512, 558, 533, 445, 319, 189, 84, 19, 0, 0, 5, 14, 15, 11, 5, 3, 4, 8, 12, 16, 17, 16, 14, 12, 9, 6, 3, 1, 0, 0, 0, 1, 4, 7, 9, 10, 9, 7, 4, 2, 0, 0, 0, 1, 3, 6, 9, 10, 10, 9, 7, 4, 3, 4, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 6, 9, 12, 13, 13, 10, 7, 4, 2, 1, 0, 1, 1, 2, 3, 5, 11, 18, 25, 29, 24, 10, 0, 0, 17, 84, 194, 330, 461, 551, 573, 521, 411, 273, 145, 51, 2, 0, 0, 10, 15, 13, 6, 0, 0, 0, 0, 1, 1, 3, 8, 16, 26, 37, 44, 45, 41, 33, 24, 15, 11, 10, 12, 16, 18, 18, 16, 11, 6, 2, 0, 0, 3, 7, 11, 14, 15, 16, 18, 21, 22, 17, 7, 0, 0, 17, 80, 184, 314, 442, 533, 562, 519, 416, 284, 156, 58, 4, 0, 0, 22, 43, 57, 62, 60, 53, 45, 36, 28, 24, 23, 24, 26, 27, 26, 23, 19, 15, 13, 14, 16, 19, 22, 24, 24, 23, 20, 16, 12, 8, 6, 6, 8, 12, 17, 22, 26, 27, 27, 24, 20, 16, 14, 12, 11, 12, 12, 12, 11, 10, 8, 6, 5, 5, 6, 8, 9, 8, 6, 4, 4, 7, 12, 14, 10, 0, 0, 0, 44, 134, 263, 409, 535, 606, 601, 520, 387, 241, 115, 32, 0, 0, 4, 19, 27, 28, 25, 21, 17, 13, 9, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 7, 10, 12, 14, 15, 14, 12, 11, 11, 11, 12, 13, 13, 12, 11, 11, 14, 16, 15, 8, 0, 0, 6, 53, 139, 256, 382, 486, 538, 523, 446, 328, 202, 96, 27, 0, 0, 4, 14, 16, 11, 4, 0, 1, 7, 12, 15, 12, 5, 0, 0, 8, 19, 24, 15, 0, 0, 13, 112, 295, 544, 812, 1030, 1137, 1098, 923, 657, 370, 132, 0, 0, 77, 260, 476, 670, 790, 809, 725, 565, 375, 201, 77, 12, 0, 0, 4, 8, 9, 11, 16, 18, 10, 0, 0, 14, 113, 294, 540, 802, 1010, 1104, 1055, 878, 626, 368, 162, 37, 0, 0, 7, 20, 21, 14, 7, 2, 0, 0, 0, 6, 42, 111, 209, 318, 411, 460, 450, 385, 283, 172, 79, 19, 0, 0, 8, 23, 34, 38, 37, 32, 25, 16, 8, 3, 1, 4, 11, 18, 23, 25, 23, 18, 11, 5, 1, 0, 0, 2, 9, 18, 28, 37, 41, 39, 31, 20, 8, 1, 0, 4, 13, 23, 30, 32, 29, 21, 12, 4, 0, 0, 0, 4, 8, 12, 13, 12, 10, 7, 4, 1, 0, 0, 0, 1, 2, 4, 6, 6, 6, 5, 3, 1, 0, 0, 0, 0, 2, 4, 6, 7, 7, 7, 6, 5, 5, 6, 8, 9, 10, 9, 7, 4, 2, 2, 4, 7, 12, 18, 22, 25, 26, 24, 21, 17, 14, 12, 12, 14, 16, 17, 17, 16, 12, 8, 5, 2, 1, 2, 4, 7, 11, 13, 15, 15, 13, 11, 9, 8, 7, 7, 9, 10, 12, 13, 13, 12, 10, 7, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 8, 10, 12, 13, 15, 18, 21, 22, 19, 12, 2, 0, 0, 6, 19, 25, 15, 0, 0, 13, 118, 310, 568, 837, 1047, 1134, 1073, 882, 618, 354, 149, 29, 0, 0, 6, 17, 17, 11, 8, 7, 3, 0, 0, 7, 68, 187, 357, 545, 704, 788, 771, 657, 481, 292, 135, 34, 0, 0, 5, 18, 21, 15, 8, 3, 3, 5, 6, 6, 3, 1, 1, 3, 8, 13, 17, 19, 20, 19, 16, 12, 7, 1, 0, 0, 0, 9, 19, 21, 11, 0, 0, 15, 104, 260, 465, 675, 834, 894, 837, 681, 472, 266, 107, 16, 0, 0, 14, 28, 31, 25, 18, 14, 13, 13, 13, 11, 8, 6, 5, 7, 10, 13, 16, 19, 20, 19, 15, 9, 2, 0, 0, 0, 8, 14, 13, 3, 0, 0, 33, 119, 252, 410, 556, 649, 661, 587, 446, 274, 113, 3, 0, 23, 156, 341, 534, 688, 760, 731, 611, 437, 257, 113, 26, 0, 0, 6, 12, 8, 1, 0, 0, 5, 5, 0, 0, 2, 46, 136, 266, 413, 539, 609, 600, 516, 381, 235, 110, 30, 0, 0, 3, 13, 15, 10, 3, 0, 0, 0, 3, 8, 13, 19, 24, 28, 30, 29, 24, 18, 11, 5, 1, 0, 0, 0, 2, 6, 10, 15, 18, 20, 19, 16, 12, 8, 5, 3, 4, 4, 6, 7, 8, 8, 9, 11, 12, 14, 15, 16, 15, 14, 12, 9, 5, 2, 0, 0, 0, 2, 5, 8, 11, 12, 10, 8, 5, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 3, 5, 8, 10, 11, 11, 10, 9, 7, 7, 7, 8, 10, 11, 12, 13, 13, 12, 10, 8, 5, 2, 0, 0, 0, 1, 2, 4, 6, 8, 9, 9, 6, 0, 0, 0, 0, 10, 19, 20, 7, 0, 0, 37, 152, 340, 572, 796, 951, 991, 904, 710, 460, 215, 32, 0, 3, 179, 452, 764, 1040, 1208, 1220, 1075, 818, 522, 262, 85, 0, 0, 0, 9, 13, 11, 9, 8, 4, 0, 0, 1, 82, 246, 486, 760, 999, 1132, 1118, 961, 709, 433, 201, 52, 0, 0, 6, 24, 25, 14, 0, 0, 0, 2, 10, 13, 9, 0, 0, 0, 3, 17, 28, 23, 3, 0, 0, 81, 259, 522, 824, 1090, 1248, 1247, 1084, 802, 475, 186, 3, 0, 69, 290, 569, 835, 1019, 1075, 990, 789, 525, 265, 68, 0, 0, 129, 330, 553, 744, 853, 851, 738, 539, 305, 96, 0, 0, 150, 450, 827, 1192, 1450, 1527, 1403, 1119, 757, 413, 159, 20, 0, 0, 13, 22, 16, 6, 0, 0, 0, 0, 0, 18, 103, 257, 466, 689, 865, 943, 898, 743, 527, 308, 135, 30, 0, 0, 0, 8, 11, 12, 11, 8, 0, 0, 0, 40, 154, 335, 556, 765, 902, 926, 828, 638, 413, 209, 66, 0, 0, 3, 26, 39, 38, 28, 17, 9, 6, 7, 9, 9, 6, 1, 0, 0, 0, 9, 19, 21, 9, 0, 0, 30, 147, 341, 585, 825, 994, 1042, 955, 759, 514, 282, 111, 17, 0, 0, 1, 9, 12, 13, 13, 7, 0, 0, 0, 65, 208, 422, 666, 880, 1000, 989, 852, 631, 390, 186, 54, 0, 0, 0, 9, 22, 30, 28, 12, 0, 0, 12, 140, 381, 717, 1083, 1387, 1541, 1497, 1265, 909, 524, 201, 5, 0, 39, 208, 407, 580, 685, 699, 624, 485, 323, 176, 69, 11, 0, 0, 4, 11, 14, 13, 9, 0, 0, 0, 23, 99, 222, 378, 533, 646, 685, 636, 509, 336, 159, 21, 0, 5, 159, 404, 696, 968, 1150, 1193, 1087, 863, 584, 321, 126, 18, 0, 0, 14, 24, 19, 6, 0, 0, 0, 12, 27, 39, 46, 45, 39, 29, 17, 7, 0, 0, 0, 4, 10, 15, 19, 20, 17, 13, 7, 2, 0, 0, 3, 9, 14, 19, 21, 21, 17, 12, 5, 0, 0, 0, 7, 21, 35, 45, 45, 36, 20, 6, 0, 6, 16, 20, 11, 0, 0, 23, 136, 331, 584, 838, 1026, 1091, 1013, 817, 560, 311, 123, 17, 0, 0, 14, 24, 20, 7, 0, 0, 0, 11, 24, 35, 39, 37, 30, 20, 10, 3, 0, 0, 0, 6, 14, 23, 31, 34, 32, 25, 15, 6, 0, 0, 3, 9, 14, 16, 16, 12, 8, 3, 0, 0, 0, 5, 14, 25, 36, 44, 46, 43, 35, 24, 13, 4, 0, 0, 1, 9, 20, 33, 45, 53, 54, 49, 39, 26, 15, 7, 3, 4, 7, 11, 14, 14, 12, 7, 3, 0, 0, 3, 6, 8, 6, 0, 0, 0, 0, 13, 26, 28, 11, 0, 0, 44, 200, 461, 787, 1107, 1333, 1397, 1279, 1016, 683, 368, 137, 13, 0, 0, 19, 31, 24, 8, 0, 0, 0, 2, 8, 9, 6, 3, 0, 0, 0, 0, 0, 1, 3, 5, 10, 15, 20, 25, 27, 26, 22, 16, 9, 4, 0, 0, 1, 3, 5, 6, 6, 4, 3, 1, 1, 2, 3, 5, 5, 5, 4, 1, 0, 0, 0, 4, 11, 16, 19, 17, 13, 10, 12, 18, 23, 20, 6, 0, 0, 37, 151, 333, 554, 761, 900, 930, 842, 663, 438, 219, 51, 0, 0, 104, 324, 608, 897, 1119, 1212, 1149, 946, 665, 380, 158, 28, 0, 0, 14, 29, 26, 12, 0, 0, 0, 4, 16, 25, 30, 31, 27, 21, 13, 6, 1, 0, 0, 1, 6, 12, 17, 22, 23, 22, 18, 11, 4, 0, 0, 1, 10, 23, 35, 40, 38, 30, 21, 20, 26, 34, 32, 13, 0, 0, 42, 202, 473, 821, 1170, 1427, 1518, 1413, 1146, 792, 446, 181, 29, 0, 0, 20, 39, 38, 24, 11, 6, 10, 21, 30, 35, 35, 30, 23, 16, 10, 6, 4, 3, 4, 7, 10, 12, 13, 11, 7, 3, 0, 0, 3, 11, 18, 22, 20, 13, 5, 2, 7, 17, 23, 18, 0, 0, 0, 77, 239, 474, 738, 966, 1092, 1077, 927, 686, 422, 199, 54, 0, 0, 6, 26, 32, 26, 16, 8, 6, 7, 8, 7, 4, 2, 2, 6, 13, 20, 26, 27, 25, 20, 13, 7, 2, 0, 0, 0, 2, 4, 7, 9, 11, 12, 12, 11, 10, 10, 10, 11, 11, 11, 11, 11, 12, 15, 20, 25, 29, 29, 25, 17, 11, 8, 10, 13, 13, 6, 0, 0, 18, 90, 213, 370, 528, 646, 688, 641, 521, 361, 204, 84, 14, 0, 0, 7, 14, 12, 5, 0, 0, 0, 0, 3, 4, 4, 2, 0, 0, 0, 0, 0, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 22, 24, 24, 25, 24, 23, 21, 19, 19, 21, 25, 31, 34, 33, 26, 14, 1, 0, 0, 10, 22, 23, 8, 0, 0, 51, 199, 438, 735, 1027, 1235, 1300, 1201, 964, 651, 340, 102, 0, 0, 115, 319, 551, 753, 877, 890, 787, 591, 350, 128, 0, 0, 133, 427, 806, 1186, 1468, 1578, 1487, 1226, 870, 512, 229, 57, 0, 0, 5, 20, 22, 16, 8, 2, 0, 0, 0, 34, 130, 289, 494, 701, 857, 916, 860, 705, 496, 287, 123, 26, 0, 0, 10, 22, 23, 16, 8, 4, 6, 9, 11, 7, 0, 0, 0, 3, 18, 27, 22, 2, 0, 0, 88, 277, 559, 889, 1192, 1386, 1414, 1265, 978, 627, 297, 60, 0, 6, 174, 416, 671, 876, 983, 966, 837, 633, 408, 213, 78, 8, 0, 0, 6, 15, 18, 15, 6, 0, 0, 3, 62, 179, 353, 558, 748, 873, 896, 805, 621, 386, 161, 3, 0, 59, 292, 620, 971, 1257, 1403, 1369, 1169, 861, 531, 255, 75, 0, 0, 1, 16, 19, 11, 3, 0, 0, 0, 0, 4, 56, 162, 320, 505, 675, 781, 793, 706, 546, 358, 187, 66, 4, 0, 0, 10, 15, 11, 3, 0, 0, 0, 1, 4, 7, 8, 10, 12, 13, 12, 10, 7, 3, 2, 4, 8, 11, 12, 7, 0, 0, 0, 2, 20, 35, 31, 5, 0, 0, 93, 324, 677, 1097, 1483, 1729, 1762, 1571, 1214, 792, 410, 141, 5, 0, 0, 26, 37, 27, 8, 0, 0, 0, 3, 11, 16, 20, 24, 29, 34, 38, 39, 38, 36, 32, 27, 20, 12, 3, 0, 0, 1, 10, 16, 14, 1, 0, 0, 53, 169, 341, 541, 720, 830, 838, 737, 554, 334, 134, 2, 0, 54, 234, 473, 714, 900, 982, 940, 787, 561, 316, 108, 0, 0, 92, 323, 630, 948, 1201, 1322, 1278, 1083, 793, 485, 229, 64, 0, 0, 6, 24, 26, 14, 0, 0, 0, 6, 17, 26, 29, 27, 21, 15, 8, 4, 1, 1, 2, 4, 5, 5, 3, 2, 4, 9, 15, 16, 9, 0, 0, 10, 75, 195, 361, 542, 695, 779, 768, 668, 505, 324, 165, 56, 2, 0, 0, 10, 13, 8, 0, 0, 0, 6, 14, 17, 15, 9, 4, 3, 9, 15, 16, 7, 0, 0, 25, 118, 274, 475, 676, 825, 879, 820, 668, 466, 266, 112, 22, 0, 0, 8, 17, 15, 6, 0, 0, 0, 3, 8, 11, 11, 9, 6, 4, 1, 0, 0, 0, 0, 4, 10, 15, 16, 13, 6, 0, 0, 0, 10, 16, 13, 0, 0, 2, 71, 211, 415, 647, 852, 978, 988, 882, 687, 451, 223, 48, 0, 0, 147, 432, 810, 1209, 1540, 1716, 1686, 1458, 1095, 695, 348, 114, 0, 0, 0, 24, 31, 20, 3, 0, 0, 0, 9, 16, 17, 13, 8, 3, 0, 0, 0, 0, 1, 2, 4, 5, 7, 7, 7, 6, 3, 1, 0, 0, 2, 8, 16, 25, 32, 35, 33, 27, 18, 9, 2, 0, 0, 2, 8, 13, 17, 19, 18, 15, 10, 5, 1, 0, 0, 2, 6, 11, 14, 15, 13, 10, 6, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 3, 6, 10, 12, 13, 12, 8, 5, 1, 0, 0, 0, 2, 5, 8, 11, 12, 12, 10, 7, 4, 3, 3, 5, 6, 7, 7, 6, 4, 2, 0, 0, 0, 0, 0, 1, 3, 4, 4, 4, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 8, 11, 11, 10, 8, 5, 3, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 3, 4, 5, 6, 7, 6, 6, 5, 4, 4, 4, 5, 6, 8, 11, 13, 15, 15, 14, 11, 8, 5, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 3, 5, 7, 9, 9, 8, 7, 5, 4, 3, 4, 5, 6, 7, 7, 7, 6, 5, 3, 2, 2, 2, 2, 3, 5, 7, 8, 10, 10, 10, 9, 7, 4, 2, 1, 2, 6, 11, 16, 18, 14, 7, 0, 0, 0, 7, 19, 21, 9, 0, 0, 42, 184, 426, 744, 1080, 1355, 1495, 1463, 1267, 963, 628, 334, 129, 19, 0, 0, 4, 17, 21, 19, 10, 0, 0, 0, 66, 221, 465, 772, 1081, 1315, 1411, 1343, 1128, 826, 513, 253, 81, 0, 0, 0, 14, 26, 26, 15, 0, 0, 0, 45, 166, 363, 619, 888, 1108, 1220, 1190, 1017, 742, 433, 167, 13, 11, 165, 440, 771, 1079, 1289, 1350, 1247, 1007, 688, 370, 127, 14, 49, 213, 455, 709, 907, 1001, 970, 823, 595, 340, 120, 0, 0, 149, 434, 799, 1166, 1449, 1580, 1526, 1305, 977, 624, 322, 115, 11, 0, 0, 12, 19, 15, 7, 0, 0, 0, 0, 26, 88, 190, 328, 479, 609, 686, 689, 618, 490, 339, 197, 88, 24, 0, 0, 2, 8, 10, 9, 9, 11, 12, 10, 4, 0, 0, 0, 9, 16, 14, 1, 0, 5, 79, 236, 478, 776, 1074, 1303, 1400, 1335, 1116, 795, 448, 166, 20, 53, 262, 601, 988, 1330, 1544, 1579, 1434, 1150, 803, 470, 214, 58, 0, 0, 7, 20, 20, 9, 0, 0, 0, 4, 11, 14, 12, 7, 3, 0, 0, 0, 1, 2, 3, 3, 3, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 3, 5, 5, 6, 5, 4, 3, 1, 0, 0, 0, 2, 3, 6, 8, 9, 9, 8, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 7, 8, 7, 4, 0, 0, 0, 1, 8, 12, 8, 0, 0, 7, 65, 180, 348, 546, 734, 869, 916, 863, 724, 535, 339, 175, 64, 8, 0, 0, 8, 11, 8, 2, 0, 0, 0, 2, 4, 4, 3, 1, 0, 0, 0, 0, 1, 3, 4, 4, 2, 0, 0, 0, 1, 7, 11, 8, 0, 0, 4, 57, 165, 328, 524, 717, 863, 925, 888, 761, 576, 377, 204, 81, 15, 0, 0, 6, 11, 8, 1, 0, 0, 0, 6, 10, 11, 9, 3, 0, 0, 0, 4, 7, 6, 0, 0, 2, 38, 116, 238, 390, 547, 676, 746, 741, 662, 529, 372, 224, 108, 35, 1, 0, 0, 6, 7, 4, 1, 0, 2, 6, 8, 8, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 4, 5, 6, 7, 8, 9, 9, 8, 7, 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, 1, 2, 3, 4, 5, 6, 6, 6, 6, 7, 8, 9, 12, 16, 19, 23, 25, 24, 22, 18, 13, 9, 7, 6, 8, 10, 12, 14, 15, 15, 14, 12, 11, 9, 8, 7, 6, 6, 6, 7, 7, 8, 8, 8, 7, 6, 4, 2, 1, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 3, 2, 2, 1, 1, 2, 4, 6, 9, 10, 9, 5, 0, 0, 0, 1, 9, 12, 7, 0, 0, 18, 100, 255, 480, 748, 1012, 1216, 1315, 1286, 1136, 901, 633, 381, 185, 60, 1, 0, 0, 13, 16, 9, 0, 0, 9, 60, 151, 280, 432, 583, 703, 766, 756, 671, 529, 360, 203, 96, 70, 136, 288, 497, 722, 917, 1040, 1065, 989, 830, 623, 410, 228, 98, 25, 0, 0, 3, 8, 6, 1, 0, 0, 0, 5, 10, 13, 15, 14, 12, 10, 7, 5, 3, 3, 3, 3, 5, 6, 8, 9, 9, 9, 7, 5, 3, 3, 4, 6, 8, 9, 8, 5, 2, 0, 1, 4, 5, 3, 0, 0, 13, 63, 157, 295, 463, 636, 780, 866, 875, 804, 668, 496, 322, 176, 73, 16, 0, 0, 3, 6, 5, 3, 2, 4, 9, 14, 17, 16, 14, 10, 8, 6, 5, 5, 4, 3, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 3, 4, 3, 1, 0, 0, 0, 1, 4, 4, 0, 0, 0, 22, 77, 170, 297, 442, 581, 688, 741, 730, 658, 540, 400, 262, 147, 66, 19, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 4, 5, 6, 6, 7, 6, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 2, 2, 1, 1, 1, 1, 1, 2, 2, 3, 4, 4, 4, 4, 2, 0, 0, 0, 0, 3, 4, 1, 0, 0, 14, 59, 143, 265, 416, 577, 722, 824, 866, 839, 750, 616, 459, 305, 175, 81, 24, 0, 0, 0, 6, 6, 1, 0, 0, 22, 80, 178, 314, 474, 637, 777, 869, 896, 851, 744, 594, 427, 271, 145, 60, 14, 0, 0, 1, 3, 2, 0, 0, 0, 3, 6, 7, 5, 1, 0, 0, 1, 3, 3, 0, 0, 0, 27, 90, 195, 343, 518, 698, 855, 964, 1006, 974, 873, 722, 545, 369, 218, 106, 37, 4, 0, 0, 2, 3, 1, 0, 0, 0, 4, 7, 10, 11, 11, 11, 11, 10, 9, 7, 4, 1, 0, 0, 0, 0, 0, 0, 0, 9, 33, 74, 135, 210, 293, 371, 434, 471, 476, 449, 394, 320, 237, 158, 92, 44, 15, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 9, 37, 89, 169, 274, 393, 514, 618, 689, 717, 697, 633, 534, 416, 295, 187, 102, 45, 12, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 3, 3, 4, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 2, 2, 2, 2, 2, 3, 4, 4, 4, 3, 2, 1, 1, 1, 0, 0, 0, 2, 15, 43, 90, 159, 246, 345, 444, 532, 597, 632, 630, 594, 527, 440, 343, 246, 161, 93, 46, 17, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 9, 27, 55, 97, 152, 218, 290, 363, 429, 480, 511, 516, 496, 455, 402, 345, 297, 265, 255, 270, 307, 358, 417, 472, 515, 537, 535, 507, 458, 392, 319, 245, 178, 120, 74, 41, 18, 4, 0, 0, 8, 25, 49, 82, 122, 168, 217, 268, 315, 354, 381, 393, 389, 370, 341, 306, 273, 247, 233, 233, 247, 272, 303, 336, 365, 385, 391, 383, 360, 325, 281, 233, 184, 138, 98, 64, 38, 20, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 8, 16, 27, 41, 57, 76, 97, 118, 139, 159, 175, 187, 193, 192, 185, 171, 153, 131, 108, 86, 66, 48, 34, 22, 13, 7, 3, 1, 0, 0, 0, 0, 0, 2, 7, 15, 26, 42, 60, 83, 107, 134, 161, 188, 214, 236, 252, 262, 265, 260, 248, 231, 209, 184, 158, 131, 106, 83, 63, 47, 35, 27, 23, 22, 25, 31, 41, 55, 73, 95, 119, 144, 168, 190, 209, 225, 237, 245, 248, 245, 236, 221, 200, 177, 153, 129, 107, 88, 70, 55, 42, 30, 20, 12, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 3, 4, 5, 7, 9, 10, 12, 15, 18, 22, 26, 31, 36, 41, 46, 50, 54, 58, 63, 68, 72, 77, 80, 83, 85, 86, 86, 85, 83, 81, 79, 77, 75, 72, 69, 65, 61, 56, 51, 47, 43, 40, 37, 34, 31, 27, 24, 21, 18, 15, 13, 12, 11, 10, 9, 9, 8, 9, 9, 10, 11, 12, 13, 13],
"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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 3, 4, 6, 7, 7, 7, 7, 7, 8, 9, 11, 12, 14, 16, 18, 19, 22, 24, 26, 27, 28, 29, 29, 30, 31, 33, 35, 38, 41, 45, 48, 51, 53, 53, 53, 52, 50, 49, 50, 51, 53, 55, 57, 59, 61, 62, 63, 64, 65, 66, 67, 68, 68, 69, 69, 69, 69, 69, 69, 68, 69, 69, 69, 70, 70, 70, 70, 70, 70, 70, 70, 69, 69, 68, 68, 67, 68, 68, 69, 69, 68, 67, 65, 64, 63, 63, 63, 64, 64, 64, 64, 64, 64, 63, 63, 63, 63, 63, 63, 64, 64, 64, 64, 64, 64, 65, 65, 65, 66, 66, 65, 65, 64, 64, 63, 62, 62, 62, 62, 63, 64, 66, 67, 68, 69, 69, 70, 71, 72, 73, 75, 78, 80, 82, 84, 86, 87, 88, 90, 90, 91, 92, 94, 96, 98, 101, 105, 108, 111, 114, 117, 119, 121, 122, 122, 122, 120, 119, 118, 118, 118, 119, 121, 122, 123, 123, 123, 123, 123, 123, 124, 125, 126, 126, 126, 125, 123, 122, 121, 121, 122, 124, 125, 125, 124, 123, 122, 121, 120, 120, 119, 119, 118, 117, 116, 116, 116, 116, 116, 116, 116, 115, 114, 112, 111, 110, 109, 110, 110, 111, 111, 110, 108, 106, 104, 103, 103, 103, 103, 104, 103, 103, 102, 101, 100, 99, 98, 97, 95, 94, 93, 92, 92, 92, 92, 92, 93, 92, 92, 92, 91, 91, 91, 91, 92, 93, 93, 93, 92, 91, 90, 88, 87, 87, 87, 87, 87, 86, 85, 84, 83, 82, 82, 82, 83, 83, 83, 82, 82, 81, 81, 81, 82, 82, 83, 84, 84, 84, 84, 84, 84, 84, 83, 83, 83, 83, 83, 83, 83, 84, 84, 85, 85, 86, 86, 86, 86, 87, 89, 89, 90, 90, 90, 90, 90, 91, 92, 94, 94, 93, 92, 90, 89, 88, 89, 91, 93, 94, 95, 96, 97, 97, 98, 99, 100, 100, 101, 101, 102, 102, 103, 103, 103, 102, 101, 100, 101, 102, 103, 104, 104, 104, 103, 102, 101, 100, 100, 99, 99, 100, 100, 101, 101, 102, 102, 103, 103, 102, 102, 102, 102, 101, 101, 101, 101, 101, 102, 102, 102, 101, 101, 100, 100, 100, 100, 100, 100, 99, 98, 98, 98, 99, 99, 100, 100, 99, 98, 98, 98, 98, 99, 100, 99, 97, 95, 93, 91, 91, 92, 94, 96, 98, 100, 101, 101, 100, 98, 96, 95, 93, 93, 93, 93, 94, 95, 96, 97, 97, 97, 97, 97, 96, 96, 96, 96, 96, 96, 96, 97, 97, 97, 97, 97, 97, 97, 98, 99, 100, 101, 103, 103, 104, 103, 102, 101, 101, 101, 102, 104, 106, 108, 109, 110, 114, 122, 138, 161, 191, 224, 255, 280, 298, 308, 317, 330, 351, 384, 427, 476, 524, 564, 589, 597, 587, 560, 521, 472, 418, 363, 308, 257, 210, 169, 134, 105, 83, 65, 53, 44, 39, 36, 34, 35, 38, 42, 49, 56, 64, 72, 79, 87, 95, 104, 115, 127, 142, 157, 171, 184, 195, 204, 210, 215, 216, 215, 211, 204, 195, 183, 170, 157, 143, 129, 114, 100, 85, 71, 59, 48, 38, 31, 25, 21, 18, 15, 13, 11, 10, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 6, 6, 7, 7, 7, 8, 8, 8, 7, 7, 6, 6, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 12, 14, 16, 18, 20, 22, 23, 24, 25, 26, 29, 32, 36, 41, 46, 50, 55, 59, 62, 66, 71, 77, 85, 95, 105, 115, 124, 133, 142, 151, 162, 174, 188, 202, 217, 229, 238, 245, 248, 249, 250, 250, 251, 251, 252, 251, 249, 245, 240, 234, 228, 223, 219, 218, 219, 222, 227, 233, 240, 245, 250, 253, 255, 256, 255, 253, 249, 244, 238, 231, 225, 219, 213, 208, 204, 200, 196, 193, 192, 191, 191, 192, 193, 196, 199, 202, 206, 208, 210, 209, 207, 204, 199, 193, 187, 181, 174, 168, 161, 155, 148, 143, 138, 134, 132, 130, 130, 131, 132, 134, 135, 138, 140, 142, 143, 145, 146, 146, 145, 143, 139, 135, 129, 122, 115, 108, 100, 93, 85, 79, 72, 66, 59, 53, 46, 38, 31, 25, 19, 15, 13, 12, 12, 12, 12, 11, 10, 8, 6, 4, 3, 2, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 4, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 3, 4, 5, 6, 6, 7, 8, 10, 12, 14, 17, 20, 24, 28, 32, 37, 43, 50, 56, 63, 69, 74, 80, 86, 92, 99, 105, 110, 114, 117, 120, 123, 126, 129, 132, 133, 134, 133, 131, 129, 127, 125, 123, 120, 118, 115, 112, 110, 109, 109, 111, 115, 119, 124, 130, 134, 138, 142, 145, 149, 154, 159, 165, 170, 175, 178, 180, 180, 178, 175, 171, 166, 160, 155, 150, 146, 143, 141, 140, 139, 138, 137, 138, 140, 144, 150, 157, 164, 169, 172, 174, 176, 178, 180, 184, 187, 190, 192, 191, 188, 182, 175, 166, 156, 146, 137, 127, 116, 106, 95, 84, 74, 64, 56, 48, 41, 34, 29, 23, 19, 16, 13, 11, 10, 9, 7, 6, 4, 3, 1, 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, 0, 0, 1, 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, 1, 2, 3, 3, 2, 1, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 4, 5, 5, 5, 4, 3, 2, 1, 0, 1, 1, 2, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 4, 4, 3, 3, 2, 1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 6, 6, 7, 7, 8, 8, 9, 10, 11, 13, 16, 19, 23, 28, 32, 36, 41, 45, 51, 57, 64, 72, 81, 90, 100, 110, 121, 132, 143, 155, 167, 179, 190, 200, 209, 215, 220, 224, 226, 227, 227, 224, 219, 211, 200, 187, 172, 158, 145, 133, 122, 112, 101, 90, 80, 70, 60, 52, 45, 39, 34, 30, 26, 23, 20, 18, 17, 16, 15, 14, 14, 13, 12, 12, 12, 12, 12, 12, 12, 13, 14, 16, 17, 19, 21, 23, 24, 26, 29, 33, 37, 42, 48, 55, 63, 72, 81, 91, 102, 114, 126, 138, 151, 164, 178, 193, 207, 221, 233, 242, 250, 254, 256, 255, 253, 249, 245, 239, 232, 223, 214, 205, 196, 187, 180, 175, 171, 170, 171, 174, 181, 190, 202, 214, 227, 240, 253, 266, 280, 294, 307, 318, 326, 331, 332, 329, 326, 322, 318, 314, 308, 301, 291, 279, 265, 252, 239, 228, 217, 206, 194, 181, 167, 152, 137, 123, 110, 98, 86, 74, 62, 52, 44, 37, 33, 30, 28, 24, 20, 15, 11, 8, 7, 6, 7, 7, 7, 6, 6, 5, 4, 4, 3, 2, 1, 0, 0, 0, 1, 2, 4, 5, 6, 7, 7, 9, 11, 14, 18, 23, 29, 35, 42, 49, 56, 62, 69, 76, 83, 89, 96, 102, 109, 115, 121, 125, 128, 128, 127, 123, 118, 112, 104, 96, 88, 79, 71, 62, 55, 48, 41, 35, 29, 23, 17, 12, 8, 6, 5, 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, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 3, 3, 4, 4, 5, 5, 6, 7, 9, 10, 12, 14, 16, 18, 20, 24, 28, 33, 40, 47, 55, 64, 74, 85, 98, 111, 126, 141, 157, 174, 191, 209, 226, 242, 257, 269, 279, 288, 296, 303, 308, 312, 313, 312, 309, 306, 302, 299, 295, 289, 281, 270, 256, 241, 225, 211, 197, 184, 171, 157, 142, 127, 111, 97, 83, 71, 60, 51, 42, 33, 26, 20, 14, 11, 9, 8, 7, 7, 6, 5, 4, 3, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 5, 7, 9, 12, 15, 18, 22, 26, 31, 38, 46, 55, 66, 77, 89, 102, 117, 135, 155, 177, 201, 225, 248, 270, 289, 305, 319, 331, 341, 350, 357, 362, 366, 368, 368, 367, 366, 363, 359, 353, 344, 334, 321, 306, 291, 276, 260, 244, 227, 210, 193, 178, 164, 154, 147, 143, 142, 144, 148, 155, 163, 172, 181, 189, 196, 201, 205, 207, 207, 205, 203, 198, 191, 182, 170, 157, 141, 125, 108, 92, 78, 66, 56, 49, 42, 37, 33, 29, 25, 22, 19, 17, 16, 14, 14, 13, 12, 11, 10, 9, 8, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6, 7, 9, 11, 14, 17, 20, 25, 30, 37, 46, 57, 69, 83, 98, 112, 127, 142, 157, 171, 185, 197, 207, 214, 219, 221, 219, 214, 206, 196, 184, 170, 155, 140, 124, 109, 93, 79, 65, 53, 42, 33, 26, 21, 17, 14, 12, 10, 9, 8, 7, 6, 6, 6, 7, 9, 11, 13, 16, 19, 22, 26, 32, 39, 48, 59, 72, 86, 101, 117, 133, 149, 164, 180, 194, 207, 218, 226, 232, 234, 234, 230, 224, 215, 204, 190, 174, 158, 143, 130, 119, 111, 107, 105, 106, 110, 116, 124, 136, 150, 167, 187, 209, 230, 252, 271, 288, 303, 315, 327, 337, 348, 358, 368, 378, 386, 394, 401, 407, 413, 419, 424, 429, 433, 436, 438, 439, 439, 438, 437, 437, 437, 438, 439, 440, 440, 439, 436, 434, 432, 431, 432, 433, 433, 432, 429, 423, 416, 408, 400, 392, 384, 376, 366, 355, 342, 328, 313, 297, 281, 267, 254, 242, 231, 220, 207, 193, 177, 161, 145, 129, 115, 102, 89, 77, 64, 53, 43, 34, 28, 25, 23, 23, 24, 24, 24, 25, 26, 29, 34, 42, 52, 66, 82, 99, 117, 135, 155, 175, 196, 218, 240, 259, 275, 285, 289, 287, 281, 270, 256, 241, 224, 205, 186, 165, 145, 126, 109, 93, 79, 67, 57, 49, 43, 39, 38, 40, 44, 49, 56, 64, 74, 85, 98, 114, 131, 149, 168, 186, 202, 218, 231, 242, 251, 257, 258, 255, 248, 236, 220, 201, 181, 161, 142, 123, 106, 91, 77, 64, 53, 43, 35, 28, 24, 21, 19, 19, 19, 21, 23, 26, 30, 36, 44, 54, 66, 81, 98, 118, 140, 163, 188, 214, 240, 264, 286, 305, 321, 333, 343, 351, 357, 361, 364, 365, 365, 365, 366, 367, 368, 368, 366, 362, 357, 352, 347, 345, 345, 345, 345, 343, 338, 332, 324, 316, 308, 300, 290, 276, 259, 239, 216, 191, 167, 143, 122, 102, 84, 67, 53, 41, 32, 24, 19, 15, 12, 9, 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, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 3, 4, 4, 4, 5, 5, 5, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 2, 2, 1, 1, 2, 4, 5, 6, 7, 7, 7, 7, 6, 6, 6, 6, 7, 7, 8, 9, 9, 9, 9, 8, 7, 7, 7, 7, 8, 9, 10, 10, 10, 9, 8, 6, 5, 5, 4, 4, 3, 2, 2, 1, 1, 1, 1, 1, 2, 2, 3, 4, 5, 7, 10, 13, 18, 24, 32, 42, 54, 67, 80, 95, 109, 124, 138, 152, 164, 174, 181, 185, 186, 183, 177, 169, 158, 146, 132, 117, 102, 88, 74, 62, 51, 42, 34, 28, 22, 18, 14, 11, 9, 7, 5, 4, 3, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 4, 6, 7, 7, 7, 7, 8, 10, 14, 19, 25, 32, 40, 49, 61, 75, 92, 111, 132, 153, 176, 198, 219, 237, 252, 261, 265, 263, 256, 244, 229, 212, 192, 172, 150, 127, 106, 86, 68, 53, 41, 31, 24, 17, 11, 7, 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, 0, 0, 0, 0, 0, 0, 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, 3, 5, 8, 12, 17, 24, 33, 43, 56, 72, 90, 109, 130, 150, 170, 189, 205, 219, 229, 235, 236, 232, 224, 212, 198, 183, 167, 150, 132, 113, 95, 78, 62, 49, 39, 32, 26, 22, 18, 15, 12, 10, 9, 8, 8, 8, 8, 7, 7, 6, 5, 4, 3, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 1, 2, 2, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 5, 5, 6, 6, 7, 8, 9, 9, 10, 10, 11, 11, 12, 13, 13, 13, 13, 13, 12, 12, 11, 10, 9, 8, 8, 8, 8, 9, 10, 10, 11, 11, 11, 11, 11, 10, 10, 9, 9, 9, 10, 11, 12, 14, 14, 15, 14, 14, 13, 13, 13, 13, 13, 14, 14, 14, 13, 12, 11, 10, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 7, 7, 6, 6, 5, 4, 3, 2, 2, 2, 3, 4, 4, 5, 6, 8, 10, 14, 20, 27, 37, 50, 66, 83, 102, 121, 140, 156, 169, 179, 186, 190, 189, 185, 176, 164, 149, 132, 114, 96, 79, 64, 51, 40, 31, 23, 18, 13, 10, 7, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 6, 12, 20, 30, 43, 57, 73, 89, 106, 123, 140, 155, 168, 176, 179, 177, 170, 159, 146, 130, 113, 96, 80, 64, 50, 39, 29, 22, 16, 12, 8, 5, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 10, 16, 24, 34, 46, 62, 80, 101, 124, 148, 174, 199, 222, 242, 257, 265, 267, 261, 248, 231, 209, 185, 160, 134, 110, 88, 68, 52, 39, 29, 21, 14, 10, 6, 4, 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, 1, 3, 7, 13, 21, 30, 42, 58, 77, 102, 131, 163, 197, 230, 260, 284, 302, 313, 315, 310, 298, 281, 259, 235, 207, 179, 151, 123, 98, 76, 57, 43, 31, 22, 16, 11, 7, 4, 2, 0, 0, 0, 3, 7, 12, 20, 29, 41, 54, 71, 89, 110, 131, 151, 168, 182, 190, 193, 192, 185, 175, 162, 146, 128, 108, 89, 70, 54, 40, 30, 22, 17, 13, 11, 9, 7, 5, 3, 2, 1, 2, 4, 7, 12, 18, 26, 35, 47, 63, 83, 107, 133, 161, 188, 214, 235, 252, 264, 270, 270, 263, 251, 234, 212, 187, 161, 136, 111, 90, 72, 58, 49, 44, 43, 47, 54, 65, 79, 96, 117, 141, 167, 191, 212, 228, 237, 239, 234, 223, 207, 189, 169, 147, 126, 105, 86, 71, 62, 58, 61, 70, 84, 104, 127, 154, 183, 214, 246, 279, 311, 339, 363, 379, 388, 390, 387, 381, 375, 370, 369, 369, 371, 372, 372, 369, 362, 350, 334, 313, 287, 257, 225, 191, 157, 126, 97, 73, 54, 39, 28, 21, 15, 11, 8, 6, 5, 3, 2, 2, 1, 1, 1, 1, 2, 2, 3, 4, 5, 5, 4, 4, 3, 3, 3, 4, 6, 7, 8, 8, 7, 6, 4, 1, 0, 0, 0, 2, 6, 12, 20, 29, 40, 54, 71, 90, 113, 137, 160, 182, 198, 209, 213, 211, 203, 191, 176, 157, 137, 116, 94, 74, 57, 43, 32, 25, 20, 15, 11, 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, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 3, 3, 4, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 7, 12, 20, 31, 47, 67, 93, 123, 158, 195, 234, 272, 308, 338, 363, 380, 390, 392, 389, 383, 374, 365, 356, 348, 341, 335, 330, 325, 319, 309, 295, 277, 254, 229, 203, 176, 149, 124, 101, 81, 64, 51, 44, 42, 47, 59, 76, 97, 123, 151, 182, 213, 243, 270, 293, 310, 318, 316, 305, 285, 257, 224, 189, 156, 126, 100, 78, 60, 45, 33, 24, 17, 12, 10, 9, 9, 8, 8, 7, 7, 6, 6, 6, 7, 8, 8, 8, 8, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 3, 4, 4, 5, 6, 6, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 6, 5, 6, 7, 9, 13, 19, 27, 37, 51, 67, 86, 108, 133, 157, 181, 202, 218, 228, 231, 228, 218, 204, 185, 164, 141, 116, 93, 71, 52, 38, 27, 19, 14, 11, 9, 8, 6, 5, 4, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 3, 3, 2, 1, 1, 1, 1, 3, 6, 11, 18, 27, 38, 53, 72, 94, 119, 146, 174, 200, 223, 242, 255, 261, 260, 251, 235, 212, 186, 158, 130, 104, 80, 61, 45, 33, 24, 18, 14, 12, 11, 10, 9, 7, 6, 5, 4, 5, 5, 5, 5, 5, 4, 2, 1, 0, 0, 0, 0, 0, 2, 4, 9, 15, 23, 34, 48, 64, 83, 105, 127, 149, 169, 184, 194, 196, 191, 180, 163, 142, 120, 99, 78, 61, 45, 32, 22, 15, 10, 7, 5, 4, 4, 3, 2, 1, 0, 0, 1, 3, 7, 13, 22, 34, 50, 72, 100, 135, 177, 223, 270, 315, 355, 385, 404, 411, 407, 391, 366, 332, 292, 249, 205, 164, 130, 104, 89, 85, 91, 106, 130, 160, 195, 233, 273, 312, 348, 378, 399, 412, 416, 412, 404, 393, 382, 372, 366, 362, 361, 360, 357, 350, 338, 318, 292, 259, 223, 186, 150, 118, 91, 70, 55, 46, 43, 45, 53, 66, 84, 107, 134, 165, 198, 229, 257, 279, 292, 297, 292, 278, 256, 229, 198, 166, 134, 105, 79, 57, 40, 27, 18, 13, 10, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 6, 6, 6, 5, 5, 3, 2, 2, 3, 6, 12, 22, 36, 56, 82, 112, 147, 187, 229, 272, 314, 352, 384, 407, 419, 422, 417, 406, 394, 383, 376, 374, 377, 383, 390, 396, 399, 398, 392, 384, 374, 366, 362, 363, 369, 378, 389, 399, 405, 406, 401, 391, 376, 359, 342, 328, 318, 313, 312, 315, 319, 320, 316, 306, 287, 262, 230, 196, 161, 128, 99, 74, 54, 38, 25, 16, 10, 5, 3, 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, 1, 1, 2, 3, 3, 4, 5, 6, 7, 9, 10, 11, 11, 11, 11, 10, 9, 9, 9, 9, 9, 9, 9, 8, 7, 5, 4, 3, 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, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 9, 17, 28, 43, 62, 85, 112, 143, 179, 217, 254, 289, 317, 335, 342, 336, 319, 293, 260, 224, 186, 150, 116, 88, 64, 47, 35, 27, 21, 18, 16, 15, 14, 13, 12, 12, 11, 12, 15, 22, 34, 52, 77, 108, 145, 186, 230, 274, 317, 354, 383, 402, 409, 406, 396, 382, 370, 362, 361, 367, 378, 393, 408, 420, 423, 417, 399, 369, 330, 283, 235, 187, 143, 107, 78, 59, 48, 45, 49, 59, 75, 96, 121, 150, 179, 207, 230, 245, 251, 246, 232, 211, 185, 157, 129, 104, 80, 60, 42, 28, 18, 11, 8, 6, 6, 6, 6, 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, 1, 2, 2, 3, 3, 3, 3, 3, 3, 2, 1, 1, 1, 2, 6, 12, 22, 36, 55, 78, 108, 145, 186, 230, 275, 314, 346, 367, 376, 375, 366, 353, 338, 325, 315, 310, 310, 313, 318, 323, 325, 320, 306, 282, 249, 211, 171, 132, 97, 69, 47, 31, 19, 11, 6, 3, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 3, 4, 5, 5, 5, 5, 5, 6, 7, 8, 9, 8, 7, 6, 5, 5, 5, 7, 8, 9, 9, 8, 8, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 3, 4, 6, 9, 16, 28, 45, 70, 102, 141, 185, 233, 280, 323, 358, 383, 395, 394, 378, 349, 310, 263, 214, 166, 125, 92, 68, 53, 47, 47, 53, 66, 85, 111, 143, 178, 214, 247, 274, 293, 301, 299, 287, 266, 238, 205, 170, 135, 103, 76, 55, 39, 29, 22, 18, 16, 15, 15, 15, 14, 14, 12, 10, 8, 6, 4, 4, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 3, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 12, 23, 39, 60, 86, 117, 150, 185, 219, 248, 270, 281, 281, 267, 243, 211, 176, 139, 106, 77, 53, 35, 22, 13, 10, 10, 14, 22, 34, 50, 70, 95, 122, 150, 177, 201, 218, 227, 227, 217, 199, 175, 147, 118, 91, 67, 47, 32, 22, 14, 9, 6, 4, 3, 4, 5, 7, 9, 12, 13, 13, 13, 12, 12, 12, 13, 15, 16, 17, 17, 16, 14, 12, 11, 10, 9, 9, 9, 8, 7, 6, 6, 5, 6, 6, 7, 8, 10, 12, 16, 22, 32, 46, 65, 90, 121, 158, 200, 246, 291, 332, 364, 382, 385, 370, 338, 294, 242, 188, 138, 96, 63, 40, 25, 16, 11, 8, 6, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 4, 3, 3, 3, 4, 5, 5, 5, 5, 4, 3, 3, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 4, 5, 7, 8, 9, 10, 10, 9, 8, 7, 6, 5, 5, 5, 6, 8, 9, 9, 9, 9, 8, 6, 4, 3, 1, 0, 0, 0, 2, 9, 20, 39, 64, 98, 139, 185, 232, 276, 314, 340, 353, 352, 337, 309, 271, 227, 181, 136, 96, 61, 35, 18, 8, 5, 8, 18, 34, 56, 86, 123, 165, 209, 252, 287, 312, 324, 322, 306, 279, 244, 205, 164, 125, 89, 59, 36, 18, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 7, 19, 37, 64, 99, 142, 192, 246, 299, 347, 385, 408, 416, 408, 389, 363, 337, 316, 305, 304, 313, 327, 343, 354, 356, 347, 324, 289, 246, 199, 153, 112, 77, 50, 30, 16, 8, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 6, 15, 29, 49, 75, 107, 144, 183, 222, 257, 283, 298, 299, 286, 261, 226, 187, 147, 109, 77, 51, 33, 22, 16, 15, 18, 27, 40, 60, 87, 123, 164, 210, 257, 298, 330, 349, 353, 341, 316, 280, 238, 193, 150, 111, 78, 52, 33, 20, 13, 10, 8, 8, 9, 9, 9, 8, 8, 7, 6, 5, 5, 5, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 13, 29, 52, 85, 127, 176, 232, 289, 344, 392, 426, 443, 439, 416, 374, 319, 257, 195, 138, 91, 55, 30, 15, 8, 9, 15, 29, 50, 80, 119, 168, 222, 278, 330, 372, 398, 405, 391, 360, 315, 262, 207, 155, 109, 72, 44, 24, 12, 5, 2, 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, 4, 4, 3, 3, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 3, 10, 21, 37, 60, 91, 131, 180, 236, 294, 348, 391, 417, 424, 412, 387, 357, 329, 311, 307, 317, 339, 370, 402, 430, 446, 446, 429, 393, 343, 284, 221, 161, 108, 67, 37, 18, 7, 3, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 4, 11, 24, 43, 71, 107, 151, 201, 253, 303, 345, 373, 383, 375, 348, 306, 255, 200, 148, 103, 67, 40, 21, 9, 2, 0, 1, 9, 24, 48, 81, 123, 173, 226, 280, 330, 369, 395, 402, 389, 359, 314, 260, 203, 149, 103, 65, 38, 19, 8, 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, 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, 1, 1, 2, 3, 3, 3, 4, 4, 4, 3, 3, 4, 6, 11, 21, 38, 62, 93, 130, 171, 212, 249, 279, 298, 303, 293, 270, 236, 197, 155, 117, 84, 59, 40, 29, 22, 20, 20, 21, 22, 23, 21, 19, 16, 13, 11, 9, 9, 10, 11, 12, 13, 13, 13, 12, 12, 11, 12, 13, 14, 15, 15, 16, 20, 28, 43, 69, 105, 151, 206, 263, 319, 367, 401, 418, 416, 395, 357, 306, 248, 189, 134, 88, 52, 28, 13, 6, 5, 9, 17, 31, 52, 83, 124, 176, 235, 296, 354, 401, 431, 442, 433, 408, 376, 346, 325, 321, 335, 366, 407, 449, 484, 503, 502, 481, 445, 402, 360, 330, 315, 319, 339, 366, 394, 413, 418, 405, 376, 338, 298, 266, 247, 245, 259, 286, 318, 347, 367, 371, 358, 328, 285, 233, 179, 128, 85, 53, 30, 17, 11, 9, 9, 10, 10, 10, 10, 10, 9, 8, 7, 6, 6, 5, 5, 5, 6, 7, 8, 9, 10, 10, 9, 8, 8, 7, 8, 10, 15, 24, 41, 66, 102, 149, 204, 265, 325, 377, 415, 432, 425, 395, 347, 287, 223, 162, 110, 69, 39, 20, 9, 5, 8, 18, 37, 68, 111, 167, 233, 306, 377, 440, 486, 511, 512, 487, 440, 376, 303, 228, 159, 100, 55, 25, 9, 3, 8, 21, 43, 75, 119, 173, 235, 299, 360, 411, 443, 454, 443, 412, 367, 318, 274, 243, 231, 238, 259, 288, 316, 335, 339, 326, 298, 258, 210, 161, 115, 77, 48, 29, 18, 13, 13, 13, 14, 14, 14, 13, 12, 11, 10, 9, 7, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 3, 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, 3, 3, 3, 4, 5, 7, 8, 9, 9, 9, 9, 8, 8, 7, 6, 5, 5, 5, 5, 5, 5, 4, 3, 2, 0, 0, 0, 1, 2, 3, 5, 5, 5, 4, 3, 1, 0, 0, 0, 1, 5, 13, 25, 46, 77, 119, 172, 232, 293, 347, 387, 406, 401, 375, 330, 274, 214, 158, 109, 70, 42, 22, 10, 3, 0, 0, 5, 15, 32, 59, 97, 146, 204, 270, 336, 396, 441, 466, 467, 443, 402, 353, 309, 281, 275, 295, 336, 387, 436, 472, 484, 470, 431, 372, 303, 232, 167, 113, 71, 42, 25, 19, 21, 33, 54, 86, 128, 181, 244, 310, 375, 430, 466, 480, 469, 435, 388, 338, 296, 271, 268, 285, 316, 352, 382, 398, 395, 371, 330, 278, 221, 165, 116, 76, 47, 29, 18, 14, 14, 15, 17, 17, 16, 14, 12, 10, 9, 8, 9, 10, 11, 11, 11, 11, 10, 10, 10, 11, 11, 12, 13, 13, 13, 14, 15, 15, 16, 16, 15, 14, 12, 11, 9, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 5, 16, 37, 68, 111, 165, 225, 287, 343, 386, 410, 412, 389, 347, 291, 228, 166, 111, 67, 35, 15, 4, 0, 0, 1, 3, 5, 5, 5, 4, 4, 3, 3, 3, 4, 6, 13, 24, 44, 73, 113, 164, 224, 285, 343, 387, 411, 409, 382, 333, 270, 203, 139, 87, 48, 23, 10, 4, 3, 4, 5, 6, 7, 6, 6, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 2, 2, 1, 0, 0, 0, 0, 4, 14, 31, 59, 98, 148, 206, 266, 321, 364, 389, 390, 369, 328, 274, 212, 153, 100, 58, 29, 11, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 3, 4, 5, 6, 7, 8, 8, 9, 9, 9, 9, 8, 7, 7, 6, 6, 7, 9, 12, 14, 16, 16, 16, 15, 14, 12, 11, 9, 9, 8, 8, 8, 8, 8, 9, 9, 9, 9, 8, 6, 5, 4, 4, 5, 9, 17, 33, 59, 96, 144, 200, 258, 310, 351, 372, 372, 349, 308, 254, 195, 138, 88, 50, 23, 8, 1, 0, 0, 1, 6, 15, 33, 61, 102, 155, 215, 275, 329, 367, 383, 375, 343, 293, 233, 170, 112, 66, 32, 12, 2, 0, 0, 0, 1, 5, 12, 27, 51, 84, 126, 172, 218, 258, 284, 292, 282, 254, 213, 166, 118, 77, 44, 22, 9, 3, 1, 1, 2, 2, 2, 2, 3, 4, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 4, 5, 5, 4, 4, 3, 4, 4, 5, 6, 6, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 4, 17, 40, 75, 122, 177, 235, 290, 334, 360, 365, 347, 309, 257, 198, 140, 89, 50, 23, 8, 2, 0, 2, 4, 6, 7, 8, 8, 7, 6, 4, 2, 1, 0, 0, 0, 0, 0, 2, 12, 33, 68, 118, 181, 250, 319, 377, 415, 428, 413, 373, 315, 248, 180, 119, 71, 36, 15, 4, 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, 0, 0, 0, 8, 25, 56, 104, 169, 246, 329, 407, 469, 506, 511, 482, 424, 347, 262, 180, 111, 60, 27, 8, 1, 0, 1, 2, 3, 3, 3, 3, 3, 2, 1, 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, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 9, 28, 62, 112, 176, 250, 324, 391, 439, 461, 453, 420, 367, 308, 256, 226, 224, 251, 302, 363, 419, 457, 467, 446, 397, 329, 253, 178, 114, 65, 31, 11, 3, 1, 3, 6, 8, 9, 9, 8, 7, 6, 6, 6, 7, 8, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 12, 16, 28, 49, 85, 137, 205, 283, 364, 434, 483, 501, 485, 441, 380, 317, 269, 248, 259, 299, 356, 416, 463, 486, 477, 438, 375, 299, 221, 150, 93, 52, 27, 14, 10, 11, 14, 17, 19, 20, 20, 20, 19, 18, 17, 17, 17, 17, 16, 16, 15, 13, 11, 9, 8, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 5, 5, 5, 5, 5, 4, 3, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 5, 4, 3, 3, 3, 3, 3, 4, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10, 10, 10, 9, 8, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 2, 13, 38, 79, 138, 211, 291, 367, 427, 461, 464, 433, 376, 300, 219, 143, 81, 38, 12, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 3, 3, 4, 4, 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, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 19, 51, 103, 176, 265, 360, 446, 509, 539, 529, 481, 404, 311, 217, 134, 71, 29, 7, 0, 0, 0, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 5, 5, 5, 5, 6, 6, 8, 10, 12, 14, 16, 17, 17, 16, 14, 12, 10, 8, 6, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 15, 15, 15, 14, 13, 11, 10, 9, 8, 7, 7, 11, 20, 40, 74, 124, 189, 263, 340, 406, 450, 464, 445, 395, 323, 241, 161, 94, 46, 16, 2, 0, 0, 0, 0, 0, 4, 17, 43, 86, 145, 216, 292, 363, 418, 447, 444, 409, 349, 273, 193, 122, 65, 28, 7, 0, 0, 1, 3, 3, 3, 3, 3, 4, 4, 3, 2, 1, 1, 1, 0, 0, 0, 0, 7, 25, 58, 108, 172, 245, 317, 378, 417, 428, 409, 363, 298, 224, 152, 91, 46, 17, 3, 0, 0, 4, 7, 9, 10, 10, 10, 10, 9, 8, 7, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 2, 2, 2, 3, 4, 4, 4, 4, 4, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 3, 4, 4, 4, 4, 2, 1, 0, 0, 0, 0, 0, 0, 6, 24, 61, 121, 202, 297, 393, 474, 523, 532, 499, 433, 348, 266, 206, 181, 196, 243, 310, 378, 429, 451, 438, 392, 323, 244, 166, 101, 53, 23, 8, 3, 4, 8, 11, 14, 14, 14, 13, 11, 8, 6, 5, 4, 4, 4, 3, 3, 2, 1, 0, 0, 1, 3, 5, 7, 8, 9, 9, 8, 8, 8, 8, 8, 9, 10, 11, 13, 15, 17, 18, 19, 18, 17, 15, 14, 14, 14, 15, 17, 18, 19, 20, 20, 19, 18, 16, 14, 12, 11, 11, 12, 14, 16, 18, 18, 18, 16, 14, 13, 12, 13, 15, 17, 19, 20, 20, 20, 19, 17, 16, 14, 12, 10, 10, 10, 11, 12, 13, 14, 14, 14, 12, 10, 8, 7, 5, 4, 4, 3, 3, 3, 2, 2, 2, 2, 3, 5, 6, 8, 9, 10, 10, 10, 11, 11, 11, 11, 11, 10, 8, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 5, 6, 6, 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, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 14, 45, 97, 168, 253, 338, 411, 458, 471, 448, 392, 315, 230, 149, 83, 36, 10, 0, 0, 1, 4, 5, 3, 2, 7, 24, 57, 112, 188, 278, 370, 450, 503, 520, 496, 436, 353, 260, 171, 99, 47, 16, 2, 0, 0, 3, 6, 7, 8, 7, 7, 6, 6, 7, 8, 10, 13, 15, 16, 16, 15, 13, 11, 8, 6, 5, 3, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 9, 31, 71, 129, 203, 282, 354, 406, 427, 413, 366, 295, 213, 135, 72, 29, 6, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 3, 5, 6, 8, 9, 10, 10, 10, 10, 10, 9, 8, 6, 4, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 10, 37, 87, 162, 257, 361, 456, 525, 554, 536, 475, 386, 290, 210, 167, 170, 219, 302, 397, 482, 536, 546, 511, 439, 344, 242, 151, 79, 32, 7, 0, 0, 2, 3, 2, 0, 0, 3, 24, 65, 132, 222, 326, 430, 516, 568, 574, 533, 453, 349, 240, 143, 70, 24, 2, 0, 0, 5, 9, 9, 9, 7, 6, 6, 7, 8, 9, 11, 12, 13, 14, 15, 15, 14, 14, 14, 13, 13, 13, 13, 13, 15, 17, 18, 20, 21, 21, 20, 18, 16, 14, 13, 12, 12, 12, 13, 13, 13, 13, 11, 9, 7, 5, 3, 2, 1, 1, 2, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 6, 9, 11, 13, 15, 16, 17, 17, 15, 11, 7, 3, 0, 0, 0, 1, 0, 0, 0, 15, 52, 121, 224, 355, 499, 634, 734, 780, 762, 682, 556, 408, 264, 145, 61, 15, 0, 0, 1, 5, 5, 5, 11, 30, 68, 130, 214, 316, 421, 513, 576, 593, 561, 485, 381, 278, 201, 173, 206, 295, 420, 551, 655, 707, 692, 615, 492, 350, 215, 109, 39, 5, 0, 0, 8, 13, 14, 13, 12, 12, 12, 12, 11, 10, 9, 9, 8, 8, 8, 7, 7, 6, 5, 4, 3, 3, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 4, 3, 2, 1, 0, 0, 0, 0, 2, 4, 5, 6, 6, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 6, 7, 6, 5, 4, 2, 1, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 6, 7, 7, 8, 7, 6, 4, 2, 1, 0, 0, 0, 0, 0, 1, 1, 3, 4, 6, 8, 10, 12, 13, 15, 16, 17, 16, 14, 11, 8, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 3, 2, 2, 1, 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, 1, 2, 1, 0, 0, 4, 24, 66, 133, 221, 318, 409, 477, 507, 492, 437, 351, 253, 159, 84, 33, 7, 0, 0, 2, 4, 5, 4, 4, 3, 3, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 10, 39, 92, 167, 256, 345, 417, 456, 456, 415, 344, 257, 169, 96, 43, 12, 0, 0, 1, 4, 6, 7, 9, 10, 11, 11, 10, 8, 6, 3, 2, 1, 2, 3, 5, 7, 8, 9, 8, 7, 6, 5, 4, 3, 3, 4, 5, 6, 6, 6, 6, 5, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 6, 6, 6, 5, 4, 2, 1, 0, 0, 1, 3, 4, 6, 6, 6, 6, 4, 3, 2, 1, 0, 0, 0, 0, 1, 2, 3, 4, 4, 3, 1, 0, 0, 0, 2, 3, 2, 0, 0, 9, 43, 108, 206, 330, 461, 575, 648, 663, 615, 515, 386, 259, 162, 114, 123, 181, 267, 356, 424, 454, 439, 386, 307, 219, 138, 73, 30, 7, 0, 1, 5, 10, 13, 15, 17, 18, 19, 20, 20, 21, 20, 19, 18, 17, 16, 16, 17, 18, 19, 20, 20, 18, 15, 12, 8, 5, 3, 2, 3, 4, 5, 5, 3, 1, 0, 0, 0, 1, 2, 1, 0, 0, 4, 23, 61, 119, 194, 276, 349, 399, 415, 393, 338, 261, 178, 104, 47, 13, 0, 0, 3, 10, 15, 18, 21, 23, 26, 28, 30, 30, 27, 23, 18, 13, 9, 7, 7, 8, 10, 12, 13, 14, 13, 12, 10, 8, 7, 6, 6, 7, 6, 5, 3, 1, 0, 1, 3, 4, 2, 0, 0, 8, 38, 96, 184, 294, 410, 511, 574, 585, 541, 452, 336, 218, 118, 48, 10, 0, 0, 3, 6, 6, 4, 3, 3, 5, 6, 7, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 6, 8, 10, 13, 16, 18, 20, 22, 22, 22, 21, 19, 17, 15, 13, 13, 13, 15, 17, 20, 22, 21, 19, 15, 11, 8, 7, 6, 5, 1, 0, 0, 17, 58, 128, 226, 341, 453, 539, 581, 567, 500, 395, 276, 164, 78, 24, 0, 0, 1, 7, 10, 11, 11, 11, 13, 14, 16, 16, 16, 15, 15, 15, 14, 14, 13, 13, 13, 14, 15, 17, 18, 19, 18, 17, 15, 13, 12, 11, 10, 9, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 4, 6, 8, 9, 10, 9, 6, 2, 0, 0, 0, 2, 4, 3, 0, 0, 2, 26, 79, 164, 274, 391, 492, 556, 565, 517, 425, 308, 191, 96, 33, 3, 0, 0, 5, 7, 6, 3, 1, 1, 3, 5, 5, 5, 4, 3, 3, 4, 5, 6, 6, 7, 8, 8, 8, 7, 6, 4, 3, 3, 4, 6, 8, 11, 12, 13, 12, 10, 7, 5, 2, 0, 0, 0, 0, 1, 3, 5, 5, 3, 0, 0, 0, 0, 3, 6, 4, 0, 0, 5, 41, 116, 229, 371, 516, 636, 704, 702, 632, 511, 364, 223, 111, 38, 3, 0, 0, 6, 10, 10, 9, 9, 10, 12, 12, 12, 9, 7, 5, 4, 3, 3, 3, 2, 1, 0, 1, 2, 4, 6, 8, 11, 13, 14, 16, 18, 19, 19, 19, 17, 13, 9, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 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, 1, 2, 3, 4, 4, 4, 3, 2, 1, 0, 0, 2, 4, 6, 8, 9, 9, 8, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 6, 7, 8, 8, 7, 7, 6, 6, 6, 7, 8, 11, 13, 15, 15, 13, 10, 6, 3, 3, 4, 6, 5, 1, 0, 4, 33, 98, 204, 345, 499, 638, 730, 752, 696, 576, 421, 270, 162, 122, 157, 255, 386, 515, 608, 642, 611, 523, 402, 272, 158, 74, 23, 0, 0, 0, 4, 7, 7, 3, 0, 0, 3, 35, 97, 191, 308, 429, 528, 582, 579, 518, 414, 292, 176, 84, 27, 0, 0, 1, 8, 11, 12, 11, 12, 13, 15, 17, 17, 15, 12, 8, 5, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 5, 6, 7, 8, 8, 7, 7, 5, 4, 4, 4, 5, 6, 8, 10, 11, 12, 12, 11, 10, 9, 8, 8, 7, 8, 8, 9, 10, 11, 11, 10, 9, 7, 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, 1, 2, 4, 5, 6, 6, 5, 4, 2, 1, 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, 2, 5, 4, 0, 0, 4, 33, 96, 196, 323, 458, 571, 634, 630, 556, 429, 283, 156, 85, 93, 181, 329, 500, 652, 745, 758, 688, 556, 394, 237, 113, 35, 0, 0, 2, 11, 15, 15, 13, 11, 11, 11, 10, 8, 5, 2, 1, 1, 3, 5, 8, 10, 10, 11, 10, 8, 6, 4, 3, 2, 3, 5, 7, 9, 10, 10, 9, 8, 5, 3, 1, 0, 0, 1, 3, 5, 5, 5, 2, 0, 0, 0, 1, 4, 6, 3, 0, 0, 16, 65, 151, 272, 409, 537, 626, 653, 609, 503, 361, 220, 116, 75, 107, 205, 340, 476, 578, 619, 590, 501, 375, 242, 128, 50, 8, 0, 0, 6, 10, 9, 7, 6, 7, 10, 14, 15, 15, 13, 10, 6, 3, 1, 0, 0, 0, 1, 3, 3, 1, 0, 0, 0, 0, 4, 7, 6, 0, 0, 2, 39, 115, 230, 372, 513, 621, 670, 647, 557, 423, 278, 150, 60, 11, 0, 0, 5, 9, 8, 4, 1, 0, 2, 4, 6, 7, 8, 8, 9, 9, 9, 8, 6, 4, 1, 0, 0, 0, 0, 1, 2, 4, 7, 10, 12, 13, 14, 13, 12, 11, 10, 8, 7, 6, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 7, 8, 8, 8, 7, 6, 5, 3, 1, 0, 0, 0, 2, 5, 8, 10, 10, 7, 3, 1, 1, 4, 7, 5, 0, 0, 1, 35, 105, 216, 354, 496, 610, 668, 655, 574, 446, 301, 168, 70, 13, 0, 0, 6, 14, 13, 5, 0, 0, 18, 75, 170, 298, 439, 566, 648, 664, 606, 487, 335, 189, 86, 53, 99, 210, 356, 499, 601, 637, 599, 501, 368, 231, 118, 41, 4, 0, 0, 9, 14, 15, 15, 15, 17, 21, 23, 24, 22, 17, 12, 8, 7, 9, 11, 11, 6, 0, 0, 12, 63, 157, 289, 441, 582, 677, 703, 652, 537, 387, 237, 115, 36, 0, 0, 1, 10, 13, 10, 6, 3, 4, 8, 12, 13, 11, 7, 2, 0, 0, 3, 7, 6, 1, 0, 0, 29, 96, 206, 348, 497, 619, 683, 672, 588, 452, 298, 160, 62, 8, 0, 0, 7, 12, 9, 4, 0, 0, 0, 1, 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, 0, 1, 2, 2, 3, 3, 2, 1, 0, 0, 0, 0, 0, 1, 2, 3, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 3, 2, 2, 1, 2, 3, 4, 5, 5, 5, 4, 3, 1, 0, 0, 0, 0, 1, 3, 4, 6, 7, 7, 7, 7, 6, 6, 7, 8, 8, 8, 7, 6, 4, 3, 2, 3, 3, 4, 5, 7, 9, 12, 15, 18, 19, 16, 11, 5, 1, 1, 4, 7, 6, 0, 0, 2, 39, 116, 233, 377, 520, 627, 671, 639, 540, 399, 251, 126, 42, 1, 0, 0, 9, 13, 11, 6, 3, 4, 7, 11, 13, 12, 9, 3, 0, 0, 0, 4, 9, 9, 3, 0, 0, 32, 114, 249, 426, 615, 775, 864, 859, 757, 580, 372, 181, 51, 11, 63, 190, 355, 514, 626, 665, 625, 519, 378, 235, 117, 39, 1, 0, 0, 7, 13, 12, 5, 0, 0, 4, 46, 126, 244, 384, 519, 615, 648, 606, 502, 362, 219, 104, 30, 0, 0, 2, 12, 17, 16, 14, 12, 11, 12, 12, 11, 10, 9, 9, 9, 9, 9, 7, 5, 3, 1, 0, 0, 0, 1, 2, 2, 3, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 3, 5, 6, 8, 8, 8, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 8, 9, 9, 9, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 3, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 3, 4, 5, 6, 8, 10, 11, 13, 13, 12, 11, 9, 8, 7, 6, 7, 8, 11, 14, 17, 17, 15, 10, 7, 5, 8, 12, 14, 10, 0, 0, 6, 55, 153, 301, 478, 650, 775, 819, 768, 631, 443, 252, 107, 47, 84, 207, 379, 553, 679, 722, 669, 534, 356, 184, 70, 50, 135, 307, 524, 729, 869, 905, 829, 660, 442, 232, 82, 26, 74, 206, 380, 546, 657, 685, 627, 502, 347, 200, 88, 21, 0, 0, 3, 10, 13, 11, 6, 0, 0, 0, 15, 66, 154, 274, 407, 524, 595, 599, 535, 419, 282, 156, 62, 10, 0, 0, 7, 13, 14, 11, 8, 7, 10, 13, 16, 17, 17, 15, 13, 11, 8, 6, 4, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 7, 8, 9, 10, 10, 9, 7, 4, 0, 0, 0, 0, 4, 8, 7, 0, 0, 0, 30, 97, 201, 328, 454, 547, 581, 548, 456, 329, 200, 95, 28, 0, 0, 1, 9, 11, 8, 5, 3, 6, 9, 12, 13, 12, 8, 5, 2, 1, 0, 1, 3, 6, 9, 12, 13, 11, 7, 2, 0, 0, 0, 5, 9, 8, 0, 0, 0, 39, 122, 248, 399, 544, 647, 679, 631, 517, 367, 217, 98, 25, 0, 0, 4, 13, 15, 12, 9, 9, 13, 19, 25, 27, 26, 21, 15, 10, 5, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 7, 8, 9, 10, 11, 12, 11, 10, 8, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 7, 8, 9, 9, 10, 11, 11, 11, 11, 10, 9, 7, 7, 7, 9, 13, 17, 20, 22, 20, 14, 7, 0, 0, 0, 5, 9, 7, 0, 0, 5, 53, 148, 288, 453, 606, 709, 732, 668, 535, 368, 208, 87, 16, 0, 0, 5, 14, 16, 10, 0, 0, 0, 12, 54, 122, 209, 301, 375, 411, 398, 340, 252, 157, 77, 23, 0, 0, 0, 7, 9, 6, 3, 0, 0, 2, 4, 6, 6, 5, 4, 3, 2, 1, 1, 1, 2, 3, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 9, 10, 10, 10, 10, 9, 9, 8, 7, 6, 6, 6, 6, 6, 6, 5, 4, 3, 2, 1, 0, 0, 0, 1, 3, 6, 8, 9, 7, 3, 0, 0, 0, 5, 10, 10, 3, 0, 0, 32, 116, 252, 425, 601, 737, 794, 757, 636, 463, 283, 134, 38, 0, 0, 0, 13, 19, 17, 7, 0, 0, 7, 56, 149, 284, 440, 585, 682, 699, 627, 481, 301, 138, 41, 39, 138, 311, 512, 686, 785, 783, 680, 505, 303, 128, 22, 10, 91, 238, 409, 557, 642, 645, 570, 440, 291, 158, 62, 10, 0, 0, 10, 16, 15, 11, 7, 6, 8, 11, 13, 14, 14, 12, 11, 9, 7, 6, 4, 3, 2, 2, 2, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 2, 0, 0, 0, 0, 5, 9, 6, 0, 0, 1, 36, 108, 215, 340, 456, 531, 546, 494, 391, 265, 147, 59, 9, 0, 0, 6, 10, 9, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 4, 6, 7, 8, 9, 9, 9, 8, 8, 7, 6, 6, 7, 8, 10, 13, 16, 18, 20, 20, 19, 16, 12, 8, 5, 2, 1, 1, 2, 3, 4, 4, 2, 0, 0, 0, 0, 3, 8, 9, 4, 0, 0, 15, 69, 163, 288, 419, 524, 574, 555, 471, 346, 215, 105, 33, 0, 0, 0, 3, 3, 2, 4, 7, 8, 3, 0, 0, 27, 109, 250, 435, 626, 778, 846, 812, 684, 499, 305, 144, 40, 0, 0, 3, 15, 19, 15, 9, 7, 9, 14, 17, 17, 14, 9, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 4, 3, 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, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 4, 7, 9, 10, 10, 8, 5, 3, 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, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 4, 9, 16, 24, 29, 32, 31, 27, 21, 15, 10, 7, 8, 11, 15, 19, 23, 24, 23, 21, 18, 14, 10, 5, 1, 0, 0, 0, 5, 10, 10, 4, 0, 0, 19, 83, 191, 329, 469, 575, 617, 583, 482, 344, 203, 91, 22, 0, 0, 5, 14, 17, 14, 10, 7, 8, 10, 11, 10, 6, 0, 0, 0, 0, 7, 12, 10, 1, 0, 1, 49, 150, 302, 484, 657, 774, 802, 728, 570, 368, 173, 36, 0, 38, 170, 350, 529, 662, 716, 677, 558, 388, 211, 72, 5, 27, 134, 299, 483, 643, 740, 752, 679, 541, 375, 216, 95, 23, 0, 0, 8, 18, 20, 16, 9, 2, 0, 0, 1, 5, 8, 11, 13, 13, 12, 10, 8, 5, 3, 1, 0, 0, 0, 1, 9, 15, 15, 5, 0, 0, 24, 102, 229, 386, 539, 646, 676, 619, 492, 333, 182, 70, 8, 0, 0, 9, 15, 13, 7, 2, 1, 3, 7, 8, 7, 3, 0, 0, 2, 7, 14, 20, 25, 26, 24, 20, 15, 11, 8, 8, 10, 13, 16, 18, 20, 21, 21, 20, 18, 16, 16, 16, 19, 24, 30, 35, 38, 39, 38, 34, 29, 23, 15, 6, 0, 0, 0, 6, 14, 15, 7, 0, 0, 22, 106, 250, 437, 629, 778, 841, 799, 666, 478, 285, 129, 32, 0, 0, 6, 19, 22, 17, 10, 5, 4, 5, 6, 7, 8, 9, 11, 14, 16, 17, 16, 12, 7, 2, 0, 0, 3, 10, 19, 27, 33, 35, 33, 26, 18, 9, 3, 0, 0, 0, 2, 4, 6, 8, 9, 9, 8, 7, 5, 3, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 4, 7, 9, 10, 9, 8, 6, 4, 4, 5, 7, 10, 13, 15, 17, 18, 18, 17, 17, 15, 13, 9, 4, 0, 0, 0, 3, 8, 9, 5, 0, 0, 8, 53, 133, 239, 349, 437, 476, 456, 382, 277, 167, 79, 22, 0, 0, 0, 7, 12, 17, 22, 24, 21, 10, 0, 0, 33, 120, 263, 444, 628, 769, 825, 775, 627, 418, 205, 47, 0, 56, 226, 456, 684, 847, 900, 829, 655, 425, 201, 42, 0, 41, 190, 388, 579, 713, 754, 698, 563, 390, 223, 94, 19, 0, 0, 14, 30, 37, 36, 30, 22, 15, 9, 4, 2, 2, 6, 12, 19, 25, 28, 28, 24, 18, 12, 7, 4, 6, 11, 18, 26, 32, 35, 34, 30, 24, 18, 12, 8, 5, 4, 6, 10, 16, 21, 20, 11, 0, 0, 5, 59, 157, 290, 431, 543, 595, 570, 477, 342, 202, 89, 20, 0, 0, 6, 17, 21, 20, 16, 13, 11, 10, 8, 5, 3, 2, 3, 5, 7, 8, 8, 6, 3, 1, 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, 3, 6, 9, 11, 12, 11, 9, 7, 4, 3, 2, 2, 2, 3, 3, 4, 5, 5, 6, 7, 7, 8, 8, 10, 11, 13, 15, 16, 17, 17, 15, 12, 9, 5, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 3, 7, 11, 15, 18, 19, 18, 17, 14, 12, 9, 5, 2, 0, 3, 10, 17, 19, 12, 0, 0, 4, 62, 173, 329, 498, 641, 716, 701, 601, 446, 277, 134, 39, 0, 0, 2, 14, 20, 18, 14, 12, 13, 15, 18, 18, 15, 8, 1, 0, 0, 2, 13, 21, 21, 8, 0, 0, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 35, 145, 322, 540, 752, 900, 941, 859, 677, 443, 218, 53, 0, 0, 97, 235, 373, 472, 509, 477, 389, 272, 157, 69, 16, 0, 0, 2, 6, 8, 10, 13, 14, 9, 0, 0, 4, 63, 179, 344, 531, 693, 786, 783, 684, 518, 330, 165, 53, 0, 0, 1, 15, 21, 16, 7, 0, 0, 0, 0, 2, 5, 8, 10, 12, 14, 13, 11, 7, 4, 1, 0, 0, 0, 1, 2, 4, 5, 5, 4, 3, 2, 1, 2, 4, 4, 3, 0, 0, 0, 0, 7, 13, 13, 4, 0, 0, 28, 111, 245, 411, 574, 690, 724, 668, 536, 367, 204, 81, 12, 0, 0, 9, 15, 13, 5, 0, 0, 0, 3, 6, 4, 0, 0, 0, 2, 10, 15, 10, 0, 0, 3, 60, 174, 333, 509, 656, 733, 714, 608, 444, 269, 123, 31, 0, 0, 5, 16, 18, 12, 4, 0, 0, 2, 4, 4, 3, 3, 6, 11, 17, 23, 27, 27, 23, 18, 13, 10, 6, 3, 0, 0, 0, 0, 10, 18, 18, 5, 0, 0, 46, 169, 364, 604, 837, 999, 1043, 952, 747, 483, 227, 43, 0, 22, 173, 378, 577, 717, 760, 700, 559, 380, 211, 84, 13, 0, 0, 8, 20, 25, 23, 14, 0, 0, 0, 34, 126, 269, 443, 609, 720, 744, 673, 527, 349, 185, 66, 3, 0, 0, 12, 19, 15, 7, 0, 0, 1, 5, 6, 3, 0, 0, 2, 10, 21, 28, 25, 13, 0, 0, 19, 87, 199, 339, 477, 575, 605, 560, 451, 311, 174, 71, 11, 0, 0, 6, 13, 13, 9, 6, 4, 6, 7, 7, 5, 2, 0, 0, 2, 5, 8, 10, 9, 7, 5, 2, 0, 0, 0, 2, 5, 9, 12, 14, 15, 13, 11, 8, 5, 2, 1, 0, 0, 1, 3, 5, 7, 9, 10, 10, 8, 6, 3, 0, 0, 0, 1, 3, 5, 5, 5, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 2, 0, 0, 0, 0, 6, 13, 13, 5, 0, 0, 21, 98, 223, 380, 532, 637, 663, 603, 475, 316, 167, 60, 3, 0, 0, 11, 16, 13, 7, 2, 3, 9, 16, 22, 23, 21, 16, 11, 6, 2, 0, 0, 0, 1, 4, 6, 6, 4, 0, 0, 0, 1, 8, 13, 11, 0, 0, 0, 43, 139, 282, 447, 595, 685, 691, 610, 467, 302, 156, 53, 2, 0, 0, 10, 17, 17, 15, 16, 20, 24, 26, 24, 18, 11, 4, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 3, 7, 11, 13, 14, 12, 9, 5, 1, 0, 0, 0, 2, 5, 8, 11, 13, 13, 10, 5, 0, 0, 0, 1, 10, 17, 14, 2, 0, 0, 53, 169, 342, 545, 730, 845, 853, 747, 554, 326, 124, 2, 0, 77, 241, 429, 588, 675, 672, 584, 441, 282, 144, 49, 3, 0, 1, 11, 15, 13, 8, 4, 4, 6, 8, 9, 7, 3, 0, 0, 1, 5, 12, 19, 25, 28, 27, 23, 17, 10, 4, 0, 1, 4, 9, 16, 22, 26, 28, 27, 24, 19, 14, 10, 6, 4, 3, 2, 1, 0, 0, 0, 1, 3, 5, 7, 7, 7, 6, 6, 9, 12, 15, 16, 13, 7, 1, 0, 3, 11, 17, 14, 2, 0, 0, 52, 167, 340, 541, 722, 834, 841, 740, 558, 342, 147, 16, 0, 17, 127, 270, 404, 494, 517, 470, 370, 246, 130, 47, 3, 0, 0, 9, 13, 11, 5, 0, 0, 3, 7, 9, 6, 1, 0, 0, 0, 10, 19, 20, 9, 0, 0, 25, 121, 281, 484, 682, 824, 865, 794, 632, 427, 231, 86, 8, 0, 0, 12, 20, 16, 6, 0, 0, 0, 2, 4, 4, 3, 1, 2, 6, 13, 20, 26, 29, 28, 24, 17, 9, 2, 0, 0, 3, 13, 26, 38, 42, 34, 14, 0, 0, 27, 112, 244, 400, 541, 627, 633, 556, 421, 267, 131, 39, 0, 0, 4, 21, 32, 38, 42, 43, 40, 27, 7, 0, 0, 53, 170, 342, 536, 706, 802, 795, 689, 514, 319, 153, 42, 0, 0, 1, 20, 32, 32, 21, 5, 0, 0, 30, 120, 264, 444, 624, 756, 800, 740, 586, 378, 170, 20, 0, 41, 217, 458, 701, 882, 951, 893, 727, 506, 287, 118, 21, 0, 0, 12, 24, 24, 17, 10, 7, 9, 12, 12, 10, 7, 5, 6, 11, 17, 24, 28, 28, 25, 21, 16, 13, 13, 16, 23, 32, 40, 44, 43, 38, 29, 19, 10, 3, 0, 0, 0, 0, 1, 1, 2, 3, 3, 2, 0, 0, 0, 0, 5, 12, 14, 6, 0, 0, 16, 87, 210, 370, 533, 654, 699, 653, 531, 368, 208, 85, 14, 0, 0, 7, 15, 16, 13, 11, 12, 15, 18, 17, 13, 6, 1, 0, 0, 6, 14, 23, 30, 33, 33, 29, 22, 15, 10, 7, 8, 12, 17, 22, 25, 26, 23, 18, 12, 7, 3, 3, 6, 10, 14, 16, 16, 14, 9, 4, 0, 0, 0, 2, 8, 14, 21, 25, 27, 25, 20, 14, 8, 4, 2, 3, 5, 8, 12, 14, 15, 15, 13, 10, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 9, 14, 18, 20, 19, 15, 10, 4, 0, 0, 0, 3, 7, 11, 13, 14, 13, 10, 6, 2, 0, 0, 0, 3, 8, 12, 14, 15, 13, 10, 6, 3, 2, 3, 6, 11, 16, 21, 25, 28, 29, 28, 25, 20, 16, 11, 8, 6, 6, 6, 7, 7, 6, 6, 6, 6, 7, 6, 3, 0, 0, 0, 2, 9, 13, 9, 0, 0, 0, 45, 135, 265, 410, 533, 600, 590, 506, 373, 230, 110, 32, 0, 0, 0, 6, 11, 15, 19, 20, 14, 0, 0, 0, 65, 200, 400, 634, 845, 974, 982, 861, 643, 385, 155, 7, 0, 51, 212, 405, 574, 674, 678, 592, 444, 277, 134, 39, 0, 0, 4, 16, 18, 12, 3, 0, 0, 0, 1, 4, 6, 7, 7, 7, 6, 5, 2, 0, 0, 3, 9, 18, 27, 35, 39, 39, 34, 26, 18, 11, 7, 6, 9, 12, 15, 17, 16, 12, 8, 5, 1, 0, 0, 0, 2, 6, 11, 16, 18, 16, 12, 7, 2, 0, 2, 7, 15, 22, 27, 29, 26, 20, 13, 6, 1, 0, 0, 1, 5, 10, 13, 15, 15, 13, 9, 6, 4, 4, 6, 10, 14, 17, 17, 16, 12, 8, 5, 2, 1, 2, 4, 7, 10, 12, 12, 12, 10, 8, 6, 5, 5, 7, 9, 11, 12, 11, 10, 8, 6, 5, 5, 6, 7, 8, 10, 10, 9, 6, 1, 0, 0, 0, 6, 13, 15, 7, 0, 0, 19, 98, 234, 408, 583, 711, 755, 701, 565, 387, 214, 84, 11, 0, 0, 9, 17, 14, 6, 0, 0, 0, 0, 3, 6, 7, 8, 9, 10, 10, 9, 8, 7, 7, 8, 9, 10, 11, 10, 8, 6, 4, 3, 3, 5, 9, 14, 17, 18, 16, 9, 2, 0, 0, 1, 11, 18, 15, 2, 0, 0, 47, 161, 333, 534, 715, 824, 829, 727, 551, 350, 174, 56, 0, 0, 0, 8, 8, 1, 0, 2, 10, 12, 4, 0, 0, 43, 158, 339, 560, 769, 907, 935, 843, 659, 436, 230, 81, 2, 0, 0, 14, 28, 29, 16, 0, 0, 0, 44, 149, 305, 486, 652, 756, 767, 681, 523, 338, 172, 57, 0, 0, 0, 13, 18, 14, 8, 4, 5, 9, 13, 14, 11, 6, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 7, 9, 10, 9, 6, 3, 1, 0, 0, 0, 3, 6, 8, 8, 6, 4, 4, 7, 15, 24, 28, 21, 4, 0, 0, 50, 168, 343, 546, 726, 834, 837, 733, 554, 350, 172, 52, 0, 0, 2, 17, 21, 16, 7, 2, 2, 6, 11, 13, 10, 5, 0, 0, 3, 11, 18, 18, 8, 0, 0, 16, 87, 206, 356, 504, 610, 641, 588, 467, 314, 169, 62, 5, 0, 0, 9, 14, 11, 5, 0, 1, 6, 13, 17, 18, 16, 13, 9, 7, 6, 7, 10, 13, 16, 19, 20, 21, 19, 17, 13, 10, 7, 6, 6, 6, 6, 6, 5, 5, 5, 7, 11, 16, 21, 25, 27, 27, 25, 21, 16, 12, 8, 4, 0, 0, 0, 0, 6, 12, 12, 4, 0, 0, 19, 88, 201, 341, 476, 568, 589, 533, 416, 274, 142, 48, 0, 0, 0, 11, 16, 14, 9, 6, 7, 12, 17, 19, 18, 15, 9, 4, 1, 0, 0, 0, 2, 3, 3, 2, 0, 0, 3, 10, 19, 26, 24, 11, 0, 0, 19, 101, 240, 414, 586, 708, 745, 685, 546, 369, 201, 76, 7, 0, 0, 11, 18, 17, 9, 3, 0, 1, 4, 6, 8, 9, 12, 17, 23, 29, 32, 32, 29, 24, 20, 15, 10, 5, 0, 0, 0, 2, 12, 19, 18, 5, 0, 0, 38, 147, 319, 529, 729, 863, 891, 806, 633, 421, 224, 82, 6, 0, 0, 13, 25, 29, 29, 25, 18, 6, 0, 0, 23, 101, 230, 391, 549, 662, 696, 641, 514, 350, 193, 75, 9, 0, 0, 12, 23, 25, 21, 16, 13, 11, 10, 10, 9, 8, 8, 9, 10, 10, 9, 7, 6, 5, 6, 7, 8, 8, 10, 15, 24, 34, 42, 41, 27, 5, 0, 4, 73, 208, 401, 617, 804, 910, 897, 764, 543, 293, 87, 0, 22, 189, 440, 705, 908, 992, 939, 772, 541, 311, 131, 24, 0, 0, 12, 30, 32, 20, 0, 0, 0, 36, 126, 258, 412, 552, 640, 650, 578, 445, 289, 148, 49, 0, 0, 0, 12, 17, 14, 7, 2, 0, 2, 4, 6, 5, 3, 1, 0, 0, 2, 5, 8, 11, 12, 13, 11, 9, 6, 4, 1, 0, 0, 0, 0, 2, 4, 7, 9, 10, 10, 9, 7, 4, 2, 0, 0, 0, 0, 1, 3, 3, 3, 1, 0, 0, 0, 4, 11, 15, 11, 0, 0, 1, 54, 159, 312, 484, 634, 721, 718, 626, 472, 298, 148, 46, 0, 0, 0, 12, 15, 10, 2, 0, 0, 0, 1, 3, 4, 2, 1, 0, 0, 0, 0, 0, 2, 5, 9, 13, 17, 19, 19, 17, 15, 12, 10, 10, 10, 11, 11, 11, 11, 9, 8, 7, 6, 5, 5, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 3, 6, 9, 11, 13, 14, 13, 12, 9, 7, 6, 6, 6, 7, 8, 8, 7, 6, 5, 6, 8, 12, 17, 22, 25, 27, 25, 20, 12, 3, 0, 0, 1, 11, 20, 19, 8, 0, 0, 31, 130, 291, 492, 688, 829, 872, 805, 649, 448, 253, 106, 21, 0, 0, 5, 15, 19, 22, 24, 24, 17, 2, 0, 2, 62, 184, 363, 568, 750, 861, 867, 766, 588, 381, 196, 66, 1, 0, 0, 15, 23, 22, 17, 15, 19, 26, 33, 36, 32, 23, 12, 3, 0, 2, 10, 18, 17, 6, 0, 0, 30, 123, 274, 464, 652, 787, 832, 772, 626, 434, 247, 103, 19, 0, 0, 8, 16, 15, 6, 0, 0, 0, 2, 6, 7, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 9, 13, 17, 21, 23, 24, 22, 18, 14, 9, 4, 1, 0, 0, 0, 4, 9, 16, 22, 26, 28, 25, 20, 14, 8, 3, 1, 1, 3, 6, 8, 11, 12, 13, 13, 13, 14, 15, 16, 17, 18, 18, 17, 15, 12, 8, 4, 1, 0, 0, 0, 2, 4, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 1, 3, 5, 7, 8, 8, 8, 6, 5, 5, 5, 6, 8, 9, 10, 9, 9, 8, 7, 6, 5, 4, 4, 5, 7, 11, 14, 15, 12, 7, 3, 2, 6, 13, 16, 12, 0, 0, 7, 70, 194, 372, 576, 757, 865, 863, 748, 546, 316, 122, 23, 44, 177, 378, 584, 733, 782, 723, 579, 396, 220, 89, 15, 0, 0, 11, 20, 19, 13, 6, 3, 3, 5, 7, 7, 6, 5, 4, 3, 3, 2, 1, 0, 0, 0, 0, 1, 3, 5, 8, 10, 11, 12, 12, 11, 10, 9, 9, 10, 13, 16, 19, 18, 14, 7, 2, 1, 6, 15, 20, 15, 0, 0, 2, 69, 205, 405, 638, 850, 986, 1004, 897, 689, 434, 196, 31, 0, 42, 204, 421, 636, 795, 858, 812, 674, 486, 293, 137, 37, 0, 0, 1, 17, 25, 21, 7, 0, 0, 12, 87, 219, 396, 584, 739, 816, 793, 677, 500, 310, 149, 44, 0, 0, 2, 13, 15, 9, 2, 0, 0, 1, 3, 2, 0, 0, 0, 7, 14, 15, 7, 0, 0, 25, 113, 260, 449, 642, 790, 850, 806, 671, 482, 289, 133, 35, 0, 0, 4, 14, 14, 8, 0, 0, 0, 0, 3, 4, 4, 2, 0, 0, 0, 2, 3, 4, 4, 4, 3, 2, 2, 3, 5, 7, 9, 10, 10, 8, 5, 3, 1, 0, 0, 0, 0, 1, 2, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 9, 9, 9, 7, 4, 2, 0, 0, 1, 3, 5, 8, 9, 10, 9, 7, 5, 3, 2, 2, 3, 3, 4, 5, 5, 6, 6, 7, 6, 5, 1, 0, 0, 0, 3, 11, 14, 9, 0, 0, 10, 78, 205, 383, 580, 751, 849, 848, 746, 572, 373, 196, 71, 6, 0, 0, 10, 15, 10, 2, 0, 4, 13, 21, 24, 18, 9, 1, 0, 6, 15, 17, 9, 0, 0, 30, 130, 302, 528, 764, 952, 1038, 993, 824, 577, 323, 135, 70, 148, 347, 611, 866, 1039, 1083, 986, 773, 501, 242, 59, 0, 58, 226, 447, 658, 803, 844, 777, 626, 435, 251, 110, 27, 0, 0, 7, 14, 12, 5, 0, 0, 0, 1, 5, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 4, 5, 6, 9, 13, 17, 19, 21, 19, 16, 11, 7, 3, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 3, 4, 4, 4, 2, 1, 0, 0, 0, 0, 1, 2, 4, 5, 6, 5, 4, 2, 0, 0, 0, 1, 3, 6, 8, 9, 9, 8, 6, 3, 1, 0, 0, 3, 6, 9, 11, 12, 11, 8, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 8, 9, 8, 7, 6, 4, 3, 3, 3, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 3, 7, 10, 13, 14, 13, 11, 8, 5, 4, 5, 7, 10, 14, 17, 19, 20, 17, 12, 6, 0, 0, 0, 4, 11, 14, 7, 0, 0, 18, 93, 228, 412, 613, 785, 884, 881, 778, 603, 400, 217, 85, 13, 0, 0, 9, 15, 13, 6, 1, 0, 1, 4, 5, 5, 2, 0, 0, 1, 4, 7, 9, 9, 8, 5, 2, 0, 0, 0, 1, 4, 7, 9, 11, 11, 10, 9, 7, 6, 5, 2, 0, 0, 0, 0, 6, 12, 13, 6, 0, 0, 30, 116, 261, 453, 655, 820, 904, 880, 753, 561, 361, 214, 166, 231, 389, 592, 774, 881, 878, 765, 575, 361, 186, 96, 115, 233, 413, 599, 738, 792, 748, 622, 450, 276, 134, 42, 1, 0, 2, 10, 11, 6, 0, 0, 0, 0, 2, 3, 3, 3, 3, 5, 7, 8, 9, 9, 8, 6, 5, 4, 4, 4, 5, 5, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 1, 3, 5, 6, 7, 7, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 3, 0, 0, 0, 0, 4, 8, 8, 1, 0, 0, 30, 103, 221, 372, 528, 656, 721, 707, 617, 474, 314, 171, 68, 11, 0, 0, 6, 10, 8, 2, 0, 0, 0, 1, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 3, 3, 4, 6, 8, 10, 12, 13, 14, 15, 15, 14, 13, 10, 7, 4, 2, 1, 0, 0, 0, 0, 0, 3, 5, 8, 8, 6, 1, 0, 0, 0, 6, 9, 7, 0, 0, 11, 67, 176, 337, 530, 719, 861, 920, 878, 743, 548, 341, 174, 88, 101, 207, 373, 552, 697, 770, 754, 655, 503, 334, 184, 77, 17, 0, 0, 5, 9, 7, 2, 0, 0, 0, 1, 3, 3, 3, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 4, 8, 10, 12, 10, 5, 1, 0, 0, 4, 7, 7, 1, 0, 4, 43, 128, 261, 428, 602, 743, 817, 802, 705, 551, 387, 260, 207, 241, 349, 494, 630, 714, 721, 647, 514, 356, 207, 94, 26, 0, 0, 3, 8, 8, 3, 0, 0, 0, 0, 3, 5, 5, 6, 6, 7, 8, 9, 8, 8, 6, 5, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 3, 2, 2, 2, 3, 5, 7, 8, 10, 11, 10, 9, 8, 6, 4, 2, 1, 1, 2, 4, 6, 8, 10, 10, 9, 7, 4, 2, 0, 0, 0, 2, 5, 7, 9, 10, 9, 7, 5, 3, 2, 1, 2, 4, 6, 8, 9, 9, 8, 7, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 5, 4, 3, 3, 2, 1, 0, 0, 0, 0, 1, 3, 5, 6, 6, 6, 5, 3, 1, 0, 0, 0, 0, 1, 3, 5, 7, 8, 8, 7, 5, 4, 3, 2, 1, 0, 0, 0, 0, 1, 4, 4, 2, 0, 0, 11, 50, 120, 218, 333, 444, 528, 567, 553, 488, 388, 273, 166, 82, 28, 2, 0, 0, 3, 4, 2, 0, 0, 0, 4, 10, 13, 13, 10, 6, 3, 3, 5, 6, 3, 0, 0, 13, 61, 152, 288, 457, 634, 788, 888, 911, 851, 721, 548, 366, 207, 93, 28, 1, 0, 0, 0, 9, 42, 114, 230, 382, 548, 698, 802, 839, 802, 699, 553, 391, 241, 124, 47, 8, 0, 0, 3, 4, 3, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 5, 4, 3, 2, 2, 3, 4, 4, 3, 2, 1, 1, 1, 2, 1, 0, 0, 2, 18, 55, 114, 195, 289, 383, 460, 505, 511, 474, 402, 310, 212, 126, 61, 21, 2, 0, 0, 2, 3, 2, 2, 3, 4, 6, 7, 8, 7, 6, 3, 0, 0, 0, 15, 50, 112, 204, 321, 448, 566, 655, 697, 684, 620, 520, 407, 308, 243, 224, 250, 310, 385, 452, 494, 498, 464, 397, 310, 218, 135, 70, 28, 6, 0, 0, 1, 1, 1, 0, 0, 0, 1, 4, 5, 6, 6, 6, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 5, 4, 4, 3, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 5, 6, 8, 8, 8, 8, 6, 4, 3, 2, 0, 0, 0, 1, 9, 27, 58, 103, 162, 230, 299, 359, 403, 422, 415, 382, 330, 266, 199, 136, 85, 46, 20, 6, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 5, 5, 6, 6, 6, 5, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 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, 1, 1, 2, 3, 4, 4, 3, 3, 2, 1, 1, 0, 0, 0, 0, 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, 1, 1, 2, 2, 3, 3, 4, 5, 5, 6, 6, 7, 7, 7, 7, 6, 6, 6, 5, 5, 5, 6, 6, 5, 4, 3, 2, 1, 1, 1, 3, 5, 9, 14, 21, 32, 47, 67, 91, 119, 147, 174, 197, 214, 224, 224, 217, 202, 181, 157, 130, 103, 77, 56, 38, 24, 14, 8, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 3, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 4, 4, 6, 8, 11, 15, 20, 26, 33, 41, 51, 62, 75, 88, 102, 115, 127, 136, 144, 149, 150, 149, 144, 137, 127, 117, 105, 93, 82, 70, 59, 48, 37, 28, 20, 15, 12, 9, 8, 6, 5, 3, 1, 1, 1, 2, 3, 4, 5, 7, 9, 11, 14, 17, 21, 26, 31, 38, 44, 52, 59, 65, 71, 75, 78, 81, 83, 85, 87, 87, 86, 83, 78, 71, 65, 58, 51, 46, 40, 36, 31, 26, 21, 17, 13, 9, 6, 4, 3, 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, 1, 3, 5, 6, 7, 8, 9, 10, 12, 14, 16, 18, 20, 21, 22, 23, 24, 25, 27, 28, 29, 29, 29, 29, 28, 27, 27, 27],
"peakT": [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, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 4, 6, 8, 10, 11, 12, 13, 15, 17, 19, 21, 23, 25, 26, 28, 29, 30, 32, 34, 36, 39, 41, 43, 46, 48, 51, 53, 56, 57, 58, 58, 57, 57, 58, 60, 63, 66, 69, 71, 72, 72, 72, 72, 72, 72, 72, 72, 71, 70, 70, 70, 72, 74, 76, 77, 77, 76, 74, 72, 70, 69, 69, 69, 70, 72, 73, 75, 76, 77, 77, 76, 75, 74, 74, 75, 78, 80, 83, 84, 85, 84, 83, 82, 82, 82, 83, 85, 86, 87, 88, 90, 92, 94, 96, 99, 100, 101, 102, 101, 102, 102, 103, 104, 106, 108, 109, 110, 111, 113, 116, 119, 123, 126, 129, 130, 129, 127, 125, 122, 121, 121, 123, 126, 129, 132, 134, 135, 136, 137, 138, 140, 141, 142, 143, 143, 143, 142, 142, 141, 141, 142, 143, 145, 148, 151, 155, 159, 162, 165, 167, 168, 169, 170, 170, 170, 170, 171, 173, 175, 179, 184, 188, 192, 195, 196, 196, 195, 193, 192, 192, 193, 195, 196, 197, 196, 195, 194, 193, 193, 195, 196, 198, 198, 197, 196, 194, 192, 192, 192, 192, 192, 190, 187, 185, 183, 183, 185, 187, 190, 191, 191, 189, 186, 183, 180, 178, 178, 178, 179, 180, 181, 180, 178, 177, 176, 176, 177, 178, 178, 178, 176, 173, 170, 168, 167, 167, 167, 167, 166, 164, 162, 160, 159, 159, 160, 162, 165, 167, 169, 169, 169, 167, 165, 162, 159, 156, 154, 152, 151, 150, 151, 152, 154, 155, 155, 155, 154, 152, 151, 150, 150, 150, 150, 151, 151, 152, 152, 151, 151, 149, 148, 147, 146, 146, 146, 146, 146, 147, 147, 147, 147, 147, 147, 147, 147, 146, 145, 144, 143, 144, 145, 146, 147, 147, 146, 144, 143, 142, 142, 142, 143, 143, 142, 141, 140, 140, 141, 142, 143, 143, 142, 139, 136, 134, 133, 133, 134, 135, 134, 132, 128, 123, 120, 117, 117, 117, 117, 117, 116, 115, 113, 112, 112, 113, 115, 116, 117, 116, 114, 110, 107, 104, 102, 101, 101, 100, 100, 99, 98, 98, 98, 99, 99, 99, 98, 96, 92, 89, 86, 84, 84, 85, 86, 88, 89, 90, 90, 89, 88, 87, 86, 85, 85, 85, 86, 85, 85, 83, 81, 79, 77, 75, 73, 73, 73, 74, 76, 77, 78, 78, 78, 78, 77, 76, 75, 74, 73, 71, 70, 69, 67, 66, 65, 65, 66, 67, 68, 68, 68, 67, 66, 65, 64, 63, 63, 64, 64, 64, 64, 63, 62, 61, 61, 62, 63, 64, 64, 63, 61, 58, 55, 53, 52, 52, 53, 55, 56, 57, 57, 57, 57, 57, 57, 57, 57, 56, 55, 54, 53, 52, 52, 53, 54, 54, 54, 53, 52, 51, 51, 51, 51, 52, 54, 54, 55, 55, 55, 56, 56, 57, 58, 59, 60, 62, 66, 70, 75, 80, 85, 89, 91, 92, 92, 92, 96, 106, 124, 153, 193, 242, 294, 343, 384, 410, 421, 416, 401, 380, 357, 336, 316, 296, 277, 256, 234, 212, 191, 172, 156, 143, 132, 124, 118, 115, 115, 117, 122, 129, 137, 143, 149, 154, 158, 161, 164, 165, 164, 161, 154, 145, 134, 122, 110, 99, 90, 81, 74, 67, 61, 56, 52, 49, 47, 47, 48, 51, 55, 61, 68, 75, 83, 91, 100, 111, 122, 136, 149, 162, 175, 188, 200, 214, 228, 244, 260, 275, 289, 301, 309, 316, 320, 323, 325, 326, 328, 328, 326, 323, 316, 307, 296, 283, 270, 257, 243, 229, 213, 198, 181, 166, 152, 140, 129, 119, 109, 99, 88, 78, 69, 61, 54, 47, 42, 39, 36, 34, 33, 32, 30, 29, 28, 26, 26, 26, 27, 28, 31, 34, 37, 40, 44, 48, 51, 55, 59, 64, 70, 79, 89, 100, 111, 122, 132, 142, 151, 162, 173, 183, 194, 202, 208, 211, 212, 211, 210, 208, 205, 202, 198, 193, 187, 182, 178, 175, 175, 177, 180, 183, 186, 187, 187, 185, 181, 179, 177, 178, 180, 183, 184, 183, 178, 169, 157, 144, 132, 122, 113, 105, 97, 88, 79, 69, 60, 53, 46, 40, 35, 29, 24, 19, 15, 12, 11, 11, 12, 12, 12, 11, 9, 7, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 7, 8, 9, 10, 10, 10, 10, 10, 10, 10, 11, 13, 15, 17, 20, 23, 26, 29, 32, 35, 39, 42, 47, 53, 59, 67, 75, 82, 89, 96, 103, 110, 118, 126, 135, 145, 154, 163, 171, 178, 183, 186, 186, 183, 180, 175, 171, 167, 162, 157, 151, 143, 133, 123, 113, 104, 97, 91, 86, 81, 76, 71, 67, 64, 63, 64, 66, 70, 74, 78, 82, 86, 91, 97, 104, 112, 121, 129, 137, 145, 152, 160, 168, 175, 182, 188, 191, 191, 189, 184, 178, 172, 165, 158, 150, 141, 131, 121, 110, 99, 89, 80, 71, 63, 54, 47, 39, 33, 28, 24, 21, 18, 17, 15, 13, 11, 8, 6, 4, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 3, 3, 3, 3, 2, 2, 2, 3, 4, 6, 8, 10, 11, 12, 14, 15, 18, 21, 24, 28, 33, 37, 42, 47, 53, 59, 66, 75, 84, 93, 102, 109, 116, 121, 128, 135, 144, 154, 165, 174, 180, 184, 184, 183, 182, 180, 178, 176, 172, 166, 158, 149, 139, 130, 122, 113, 105, 95, 85, 74, 65, 56, 49, 43, 38, 34, 30, 26, 22, 18, 16, 14, 12, 10, 9, 8, 7, 6, 6, 7, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 3, 2, 2, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 4, 3, 3, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 6, 7, 9, 11, 13, 15, 18, 21, 25, 28, 31, 34, 38, 43, 48, 55, 63, 72, 80, 89, 98, 108, 120, 132, 145, 159, 172, 184, 197, 209, 223, 237, 251, 265, 277, 287, 294, 299, 302, 304, 305, 307, 309, 310, 311, 309, 306, 299, 289, 278, 266, 254, 243, 233, 223, 212, 200, 186, 171, 156, 143, 133, 124, 117, 109, 101, 92, 83, 75, 70, 67, 66, 68, 72, 77, 82, 88, 94, 101, 108, 116, 124, 133, 143, 154, 166, 177, 187, 196, 201, 205, 206, 206, 206, 204, 202, 198, 191, 183, 173, 163, 151, 139, 127, 115, 102, 90, 79, 69, 59, 52, 45, 39, 34, 29, 25, 22, 18, 15, 11, 8, 5, 3, 2, 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, 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, 1, 2, 2, 2, 2, 2, 3, 3, 5, 7, 9, 12, 14, 15, 17, 17, 18, 19, 22, 26, 31, 37, 45, 54, 63, 73, 84, 95, 107, 118, 129, 139, 148, 157, 168, 179, 192, 205, 217, 227, 234, 238, 237, 234, 228, 221, 212, 204, 195, 186, 177, 168, 159, 151, 144, 140, 138, 139, 142, 146, 151, 156, 160, 164, 167, 170, 171, 172, 172, 170, 166, 160, 152, 143, 132, 122, 112, 103, 94, 86, 77, 68, 58, 49, 40, 33, 27, 23, 20, 18, 17, 16, 15, 14, 13, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 11, 11, 11, 12, 12, 12, 13, 13, 13, 13, 13, 13, 12, 12, 11, 11, 10, 11, 12, 13, 14, 14, 13, 12, 11, 10, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 10, 8, 7, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 2, 2, 2, 3, 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, 1, 2, 3, 4, 4, 4, 5, 5, 6, 7, 9, 10, 11, 13, 16, 19, 22, 27, 32, 37, 43, 50, 57, 64, 73, 84, 96, 111, 128, 147, 166, 185, 202, 216, 229, 240, 251, 261, 271, 279, 285, 289, 291, 289, 284, 278, 269, 259, 249, 240, 232, 225, 218, 210, 202, 191, 179, 165, 151, 136, 121, 107, 92, 79, 68, 58, 51, 46, 42, 39, 36, 33, 30, 28, 27, 28, 31, 36, 42, 49, 56, 64, 72, 83, 95, 109, 123, 135, 147, 156, 163, 169, 173, 177, 179, 180, 179, 175, 168, 159, 147, 134, 119, 104, 89, 76, 64, 55, 48, 42, 37, 33, 29, 26, 22, 19, 16, 14, 13, 12, 12, 12, 12, 12, 12, 11, 11, 10, 10, 10, 10, 10, 10, 11, 12, 12, 13, 13, 14, 15, 17, 20, 24, 28, 31, 34, 36, 39, 43, 49, 57, 66, 76, 88, 99, 111, 124, 136, 149, 160, 169, 176, 181, 184, 184, 183, 178, 171, 161, 148, 134, 120, 106, 93, 81, 71, 61, 54, 47, 42, 37, 34, 31, 30, 28, 28, 29, 32, 37, 44, 53, 64, 75, 88, 101, 115, 130, 146, 163, 180, 198, 214, 229, 241, 251, 259, 265, 270, 275, 279, 282, 284, 283, 280, 274, 267, 258, 248, 237, 225, 212, 197, 182, 166, 151, 136, 122, 108, 95, 81, 69, 57, 47, 39, 32, 27, 24, 21, 19, 17, 16, 15, 15, 14, 13, 13, 12, 12, 12, 12, 13, 13, 13, 13, 12, 12, 12, 11, 11, 11, 10, 9, 8, 8, 7, 7, 8, 8, 9, 9, 10, 10, 10, 9, 8, 6, 5, 3, 2, 1, 1, 1, 1, 2, 2, 3, 4, 5, 6, 6, 6, 4, 3, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 3, 5, 7, 9, 9, 9, 9, 9, 8, 9, 9, 10, 11, 12, 13, 14, 16, 17, 17, 17, 17, 16, 14, 13, 13, 13, 14, 14, 15, 15, 15, 15, 14, 14, 14, 13, 13, 13, 14, 14, 15, 15, 16, 17, 18, 18, 18, 19, 20, 22, 26, 31, 39, 48, 58, 70, 84, 99, 117, 138, 160, 182, 203, 221, 236, 246, 254, 261, 267, 274, 280, 285, 287, 285, 279, 270, 260, 251, 241, 233, 224, 214, 202, 187, 171, 153, 135, 118, 103, 89, 77, 66, 56, 47, 38, 30, 24, 19, 16, 15, 14, 14, 14, 14, 14, 14, 15, 15, 16, 16, 17, 16, 16, 15, 15, 14, 13, 13, 12, 12, 11, 11, 10, 9, 9, 8, 7, 6, 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, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 8, 14, 20, 26, 34, 43, 53, 67, 84, 104, 126, 149, 172, 195, 217, 238, 258, 277, 295, 311, 326, 338, 347, 353, 355, 354, 351, 348, 344, 342, 338, 333, 324, 309, 289, 265, 238, 211, 186, 164, 145, 128, 111, 95, 79, 65, 52, 42, 35, 30, 27, 25, 24, 24, 24, 25, 28, 32, 39, 47, 59, 72, 88, 104, 121, 139, 157, 174, 191, 207, 220, 230, 235, 237, 234, 228, 219, 208, 194, 179, 161, 142, 123, 104, 87, 72, 60, 49, 41, 33, 27, 21, 17, 15, 13, 12, 11, 10, 8, 7, 6, 5, 4, 4, 5, 5, 5, 5, 4, 3, 2, 2, 2, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 6, 6, 7, 8, 8, 9, 9, 10, 11, 12, 13, 14, 15, 16, 18, 20, 24, 30, 38, 47, 59, 71, 85, 100, 115, 130, 146, 160, 175, 187, 196, 202, 203, 199, 191, 180, 166, 151, 137, 122, 108, 94, 80, 67, 55, 45, 36, 29, 24, 21, 19, 19, 19, 19, 20, 19, 19, 18, 17, 16, 16, 16, 17, 19, 20, 22, 24, 26, 28, 30, 34, 38, 45, 54, 66, 80, 98, 119, 142, 166, 191, 215, 238, 260, 280, 298, 314, 327, 338, 344, 346, 344, 340, 334, 328, 323, 318, 313, 306, 296, 281, 263, 243, 223, 203, 185, 167, 150, 131, 111, 91, 72, 56, 44, 36, 32, 30, 30, 31, 32, 35, 40, 48, 60, 76, 96, 118, 143, 170, 200, 232, 267, 303, 340, 376, 410, 439, 464, 484, 498, 510, 519, 529, 539, 550, 560, 569, 573, 572, 564, 551, 531, 505, 473, 436, 394, 348, 301, 255, 213, 176, 145, 120, 100, 84, 71, 60, 51, 44, 38, 34, 31, 29, 28, 27, 25, 23, 21, 20, 19, 19, 19, 20, 20, 21, 21, 21, 20, 20, 19, 19, 18, 18, 18, 18, 18, 18, 18, 17, 16, 15, 14, 12, 11, 10, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 2, 2, 2, 3, 4, 6, 8, 10, 12, 14, 15, 17, 21, 26, 34, 46, 61, 81, 104, 129, 157, 187, 218, 250, 283, 314, 341, 363, 376, 380, 374, 360, 339, 312, 281, 248, 214, 181, 150, 121, 96, 75, 58, 45, 35, 27, 22, 18, 15, 13, 12, 11, 10, 10, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7, 5, 4, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 4, 4, 5, 5, 6, 8, 10, 12, 14, 18, 23, 30, 40, 52, 69, 89, 114, 141, 171, 200, 227, 249, 265, 274, 277, 274, 266, 254, 238, 218, 195, 170, 144, 120, 98, 78, 61, 47, 35, 26, 18, 12, 8, 5, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 5, 5, 5, 6, 8, 9, 11, 12, 14, 15, 18, 22, 28, 37, 50, 66, 86, 108, 132, 158, 184, 210, 233, 253, 268, 276, 275, 268, 254, 236, 215, 193, 171, 149, 126, 104, 83, 63, 47, 34, 25, 19, 16, 15, 14, 13, 12, 11, 10, 9, 9, 8, 8, 8, 7, 7, 7, 8, 9, 9, 10, 10, 10, 9, 9, 10, 10, 11, 11, 11, 11, 11, 10, 10, 10, 10, 10, 10, 9, 8, 8, 7, 7, 7, 7, 6, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 6, 7, 7, 7, 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, 0, 0, 0, 0, 0, 0, 0, 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, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 4, 6, 7, 7, 7, 6, 5, 5, 5, 5, 6, 7, 7, 7, 6, 4, 3, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 7, 7, 7, 6, 6, 5, 4, 4, 5, 6, 6, 7, 7, 7, 6, 6, 6, 6, 7, 6, 6, 6, 5, 5, 6, 7, 7, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6, 6, 5, 5, 5, 6, 7, 8, 9, 11, 13, 15, 17, 19, 22, 26, 31, 40, 52, 68, 89, 115, 146, 181, 219, 258, 296, 331, 361, 383, 396, 399, 390, 372, 345, 312, 276, 238, 201, 166, 135, 106, 82, 63, 47, 36, 29, 24, 21, 18, 17, 15, 14, 13, 12, 12, 12, 12, 12, 12, 12, 11, 11, 10, 10, 9, 9, 9, 9, 9, 9, 8, 7, 6, 6, 6, 5, 5, 5, 4, 3, 2, 1, 0, 0, 1, 2, 3, 3, 4, 4, 4, 5, 5, 6, 7, 9, 10, 11, 12, 12, 12, 12, 12, 12, 13, 14, 15, 16, 16, 16, 16, 15, 14, 13, 12, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 13, 14, 14, 14, 15, 15, 18, 22, 27, 35, 45, 56, 71, 89, 113, 141, 175, 213, 253, 292, 327, 357, 380, 397, 409, 417, 422, 426, 430, 434, 438, 443, 446, 447, 443, 435, 419, 395, 365, 329, 290, 249, 209, 171, 137, 107, 81, 61, 45, 34, 27, 23, 20, 18, 16, 13, 11, 9, 8, 8, 9, 10, 11, 11, 11, 10, 9, 8, 8, 8, 9, 10, 11, 12, 12, 12, 11, 10, 9, 8, 8, 8, 9, 11, 12, 13, 14, 14, 13, 12, 10, 9, 7, 5, 4, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 5, 7, 9, 11, 14, 15, 16, 15, 14, 13, 12, 11, 10, 9, 8, 6, 5, 4, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 4, 6, 8, 10, 12, 14, 18, 24, 31, 41, 55, 71, 90, 111, 134, 159, 183, 206, 227, 244, 254, 258, 252, 239, 219, 194, 167, 140, 116, 94, 76, 60, 47, 37, 28, 22, 18, 15, 14, 13, 13, 13, 12, 11, 11, 10, 10, 11, 11, 12, 12, 12, 11, 10, 9, 9, 9, 11, 13, 16, 19, 23, 29, 38, 51, 68, 90, 115, 140, 165, 187, 205, 218, 225, 227, 223, 212, 196, 174, 150, 125, 101, 80, 63, 49, 38, 30, 24, 20, 18, 17, 18, 18, 18, 18, 18, 17, 16, 16, 16, 16, 15, 15, 15, 14, 14, 14, 14, 14, 16, 18, 22, 29, 39, 53, 70, 89, 112, 136, 164, 193, 222, 250, 275, 294, 307, 314, 315, 313, 309, 305, 302, 299, 298, 297, 295, 292, 286, 275, 259, 238, 211, 182, 151, 122, 95, 73, 55, 40, 29, 21, 15, 11, 9, 7, 8, 8, 9, 10, 11, 11, 10, 10, 9, 8, 7, 7, 6, 6, 5, 5, 5, 6, 6, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 7, 7, 7, 7, 7, 6, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 3, 5, 7, 7, 8, 7, 6, 6, 6, 6, 7, 7, 7, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 8, 10, 15, 23, 36, 54, 75, 100, 125, 150, 173, 192, 207, 217, 222, 221, 213, 198, 178, 154, 127, 102, 79, 60, 46, 35, 27, 21, 16, 12, 9, 6, 4, 2, 0, 0, 1, 2, 4, 6, 8, 10, 11, 13, 15, 17, 19, 21, 22, 22, 21, 19, 16, 14, 12, 10, 8, 6, 4, 3, 2, 2, 2, 2, 2, 2, 2, 3, 4, 5, 7, 8, 10, 10, 11, 11, 11, 10, 10, 9, 9, 8, 7, 6, 6, 5, 5, 5, 6, 7, 8, 9, 9, 8, 8, 7, 7, 6, 7, 7, 7, 7, 7, 6, 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, 1, 2, 4, 5, 5, 6, 5, 5, 4, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 4, 6, 7, 9, 10, 12, 13, 15, 19, 24, 32, 43, 57, 75, 98, 124, 153, 184, 216, 246, 272, 292, 304, 306, 297, 278, 251, 219, 185, 152, 124, 99, 80, 64, 51, 41, 32, 26, 21, 18, 17, 17, 17, 17, 16, 15, 13, 12, 11, 11, 12, 13, 14, 14, 13, 12, 10, 10, 10, 11, 12, 13, 13, 13, 11, 10, 9, 9, 10, 10, 11, 11, 10, 10, 10, 10, 11, 12, 14, 15, 16, 17, 18, 19, 21, 25, 32, 42, 56, 77, 103, 136, 174, 217, 263, 309, 351, 387, 413, 426, 424, 408, 379, 340, 295, 247, 200, 158, 121, 91, 67, 48, 34, 25, 20, 18, 17, 18, 18, 17, 17, 15, 14, 13, 12, 12, 11, 10, 10, 11, 11, 11, 11, 11, 10, 10, 10, 10, 11, 12, 14, 18, 25, 36, 52, 75, 103, 138, 177, 217, 257, 292, 320, 340, 350, 350, 342, 328, 310, 292, 277, 268, 264, 265, 269, 273, 273, 266, 250, 228, 201, 171, 142, 115, 92, 71, 53, 38, 26, 18, 12, 10, 9, 9, 9, 10, 10, 9, 8, 8, 10, 14, 23, 37, 56, 80, 108, 139, 171, 202, 230, 252, 267, 272, 267, 252, 228, 198, 165, 132, 102, 77, 56, 41, 29, 22, 16, 14, 13, 13, 15, 16, 18, 20, 21, 21, 21, 22, 23, 25, 28, 30, 31, 31, 29, 27, 24, 22, 22, 24, 29, 38, 50, 67, 89, 116, 148, 184, 223, 262, 299, 331, 355, 371, 379, 383, 385, 389, 398, 412, 431, 454, 476, 495, 505, 505, 491, 463, 422, 371, 313, 255, 200, 152, 112, 81, 58, 43, 33, 26, 22, 20, 18, 16, 15, 14, 13, 13, 12, 12, 12, 12, 13, 13, 13, 13, 12, 12, 11, 10, 9, 8, 7, 6, 5, 4, 4, 4, 4, 5, 6, 7, 9, 10, 12, 14, 15, 15, 15, 15, 14, 14, 14, 15, 15, 15, 15, 14, 14, 13, 13, 13, 13, 13, 14, 14, 13, 12, 11, 9, 8, 6, 5, 5, 6, 6, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 3, 3, 2, 2, 3, 6, 13, 25, 41, 63, 88, 115, 142, 168, 191, 209, 222, 227, 224, 213, 195, 172, 144, 116, 89, 65, 47, 33, 24, 19, 15, 14, 12, 12, 11, 11, 10, 10, 10, 9, 8, 7, 6, 6, 5, 5, 6, 7, 7, 7, 6, 5, 4, 3, 3, 3, 3, 3, 3, 2, 1, 0, 0, 0, 1, 3, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 6, 5, 4, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 2, 2, 1, 0, 0, 0, 1, 3, 4, 6, 7, 7, 7, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 7, 7, 8, 9, 10, 11, 12, 12, 12, 12, 12, 13, 15, 19, 25, 35, 49, 68, 91, 117, 147, 178, 208, 234, 255, 267, 269, 261, 245, 221, 193, 163, 133, 105, 81, 62, 50, 45, 50, 67, 98, 144, 204, 276, 355, 435, 507, 563, 598, 608, 591, 551, 492, 422, 346, 273, 206, 150, 106, 73, 51, 37, 30, 26, 25, 25, 25, 24, 23, 21, 20, 19, 21, 24, 31, 43, 61, 87, 122, 165, 214, 265, 314, 355, 383, 395, 390, 369, 335, 290, 241, 191, 144, 105, 74, 51, 36, 27, 21, 17, 14, 13, 12, 11, 11, 11, 11, 10, 9, 8, 7, 7, 8, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 18, 18, 18, 18, 17, 16, 14, 11, 7, 4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 4, 5, 7, 9, 10, 11, 11, 10, 9, 8, 7, 6, 6, 5, 5, 5, 5, 6, 7, 7, 8, 9, 9, 10, 11, 12, 13, 13, 13, 13, 13, 13, 14, 14, 15, 14, 14, 12, 11, 10, 9, 10, 11, 13, 14, 15, 14, 12, 10, 7, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 9, 8, 7, 7, 7, 7, 7, 8, 8, 9, 9, 8, 8, 7, 6, 5, 5, 5, 5, 5, 4, 3, 3, 2, 2, 2, 3, 3, 4, 5, 5, 5, 5, 6, 6, 7, 8, 9, 9, 10, 10, 9, 9, 8, 6, 5, 3, 1, 0, 0, 0, 1, 2, 4, 5, 7, 9, 11, 12, 13, 14, 17, 24, 36, 55, 83, 119, 163, 215, 273, 333, 389, 438, 471, 485, 476, 446, 398, 339, 275, 212, 156, 110, 75, 50, 35, 25, 20, 18, 17, 16, 16, 15, 15, 15, 15, 14, 14, 13, 13, 12, 11, 10, 9, 8, 8, 7, 6, 6, 4, 3, 2, 1, 0, 0, 0, 0, 2, 3, 4, 6, 8, 10, 11, 12, 13, 14, 14, 14, 13, 12, 11, 11, 10, 11, 11, 13, 15, 19, 29, 47, 77, 120, 177, 247, 324, 400, 469, 522, 555, 562, 545, 505, 447, 377, 302, 229, 163, 109, 68, 41, 25, 18, 17, 18, 19, 20, 19, 18, 16, 14, 13, 12, 13, 13, 14, 14, 14, 14, 14, 14, 15, 16, 17, 17, 18, 18, 17, 17, 17, 16, 16, 15, 15, 14, 13, 13, 12, 11, 10, 10, 11, 11, 12, 12, 12, 12, 11, 10, 9, 8, 7, 6, 5, 4, 4, 4, 5, 7, 9, 12, 14, 15, 16, 14, 12, 10, 8, 7, 9, 12, 20, 31, 47, 68, 94, 124, 156, 187, 215, 235, 247, 248, 243, 233, 225, 221, 226, 239, 260, 286, 311, 330, 339, 334, 314, 280, 237, 189, 142, 101, 68, 44, 28, 18, 12, 9, 7, 7, 8, 10, 12, 13, 14, 15, 16, 16, 16, 16, 16, 15, 14, 13, 12, 11, 11, 11, 11, 11, 12, 15, 21, 33, 51, 79, 118, 168, 227, 290, 353, 408, 448, 467, 464, 439, 396, 340, 278, 217, 162, 115, 80, 56, 41, 34, 32, 32, 33, 33, 31, 29, 27, 26, 25, 24, 24, 24, 25, 29, 38, 56, 84, 126, 179, 242, 310, 377, 436, 480, 504, 507, 492, 462, 427, 397, 378, 378, 395, 426, 461, 492, 507, 501, 471, 421, 358, 289, 224, 166, 121, 87, 64, 49, 40, 37, 39, 47, 63, 87, 121, 165, 218, 276, 335, 388, 430, 455, 461, 447, 418, 380, 341, 307, 285, 275, 277, 287, 300, 309, 311, 305, 290, 272, 255, 244, 243, 253, 270, 288, 302, 306, 297, 274, 241, 202, 161, 122, 89, 63, 43, 30, 21, 17, 16, 16, 16, 17, 16, 16, 15, 14, 14, 14, 14, 14, 13, 12, 11, 10, 9, 9, 10, 11, 11, 11, 11, 10, 9, 8, 7, 7, 7, 7, 7, 8, 8, 9, 10, 10, 10, 10, 9, 7, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 8, 9, 9, 8, 7, 6, 4, 4, 3, 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, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 3, 4, 6, 7, 9, 10, 11, 12, 12, 13, 14, 17, 25, 39, 61, 93, 134, 181, 230, 276, 313, 336, 344, 336, 314, 285, 254, 229, 214, 214, 228, 252, 278, 301, 312, 307, 286, 251, 208, 163, 120, 85, 57, 37, 24, 16, 12, 12, 16, 26, 42, 66, 98, 136, 179, 220, 256, 282, 292, 287, 268, 237, 199, 159, 121, 86, 57, 35, 18, 8, 4, 5, 11, 24, 43, 70, 106, 150, 199, 248, 292, 324, 340, 337, 316, 280, 234, 184, 135, 92, 58, 33, 17, 9, 5, 4, 5, 5, 6, 6, 5, 5, 4, 3, 2, 2, 3, 3, 4, 5, 5, 6, 6, 8, 9, 10, 12, 12, 12, 11, 11, 13, 19, 31, 50, 79, 115, 159, 206, 252, 291, 318, 329, 322, 298, 261, 216, 169, 126, 89, 60, 40, 26, 19, 18, 25, 40, 66, 105, 156, 220, 291, 364, 431, 484, 516, 522, 499, 450, 382, 305, 227, 157, 101, 61, 36, 23, 17, 16, 16, 16, 15, 15, 14, 13, 13, 13, 13, 12, 12, 12, 12, 13, 17, 23, 34, 52, 79, 115, 158, 204, 249, 284, 307, 313, 303, 282, 257, 234, 221, 222, 237, 262, 292, 318, 334, 335, 320, 290, 248, 200, 150, 105, 67, 39, 21, 11, 7, 7, 9, 11, 12, 14, 15, 17, 18, 20, 21, 22, 23, 23, 23, 22, 20, 18, 15, 12, 9, 7, 5, 4, 4, 3, 2, 1, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 4, 14, 30, 57, 94, 141, 198, 258, 315, 362, 391, 397, 381, 344, 292, 231, 171, 117, 73, 41, 21, 10, 7, 7, 9, 11, 12, 12, 11, 10, 8, 7, 6, 5, 5, 5, 5, 5, 6, 8, 9, 10, 11, 12, 12, 11, 10, 10, 9, 8, 8, 8, 7, 7, 6, 5, 5, 5, 6, 7, 9, 9, 10, 9, 8, 7, 6, 6, 6, 7, 8, 8, 8, 7, 7, 6, 6, 6, 7, 7, 8, 7, 7, 6, 6, 7, 9, 13, 21, 34, 54, 83, 121, 166, 214, 259, 296, 318, 321, 306, 273, 229, 179, 130, 87, 53, 29, 14, 6, 4, 5, 8, 11, 13, 15, 16, 17, 18, 19, 19, 19, 18, 19, 21, 29, 43, 66, 100, 142, 191, 242, 289, 325, 346, 347, 328, 291, 242, 187, 133, 85, 49, 23, 8, 1, 0, 0, 2, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 7, 7, 7, 6, 5, 4, 3, 3, 3, 3, 4, 4, 5, 6, 6, 7, 7, 7, 8, 8, 7, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 5, 7, 8, 9, 9, 10, 11, 12, 13, 13, 13, 12, 11, 9, 8, 7, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10, 10, 11, 11, 11, 11, 10, 9, 7, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 5, 7, 9, 10, 11, 12, 13, 14, 14, 14, 14, 12, 10, 8, 5, 3, 1, 0, 0, 0, 0, 0, 1, 2, 3, 4, 6, 7, 8, 9, 10, 10, 10, 10, 10, 10, 9, 9, 8, 7, 7, 7, 8, 10, 12, 14, 16, 18, 18, 17, 16, 16, 16, 17, 20, 22, 24, 25, 25, 24, 22, 20, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 18, 17, 16, 15, 15, 16, 17, 17, 17, 17, 16, 14, 13, 13, 13, 14, 15, 16, 16, 15, 14, 12, 10, 8, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 6, 5, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 6, 7, 7, 8, 8, 7, 6, 6, 9, 19, 39, 72, 120, 181, 250, 317, 375, 413, 427, 414, 378, 330, 279, 237, 214, 212, 231, 264, 299, 328, 340, 332, 304, 261, 209, 155, 106, 65, 36, 16, 5, 0, 0, 5, 18, 44, 86, 147, 225, 316, 407, 488, 544, 565, 550, 502, 434, 361, 299, 262, 254, 273, 310, 350, 381, 392, 380, 347, 302, 257, 227, 219, 239, 282, 339, 394, 435, 451, 438, 401, 351, 302, 268, 259, 278, 323, 384, 447, 499, 526, 522, 485, 421, 339, 253, 174, 109, 63, 34, 21, 17, 19, 22, 24, 25, 25, 22, 19, 16, 13, 10, 9, 9, 8, 8, 7, 6, 5, 5, 5, 6, 7, 7, 8, 8, 8, 6, 4, 1, 0, 2, 13, 37, 78, 140, 219, 311, 405, 488, 546, 570, 556, 507, 435, 356, 286, 241, 229, 248, 292, 345, 392, 419, 421, 396, 353, 303, 260, 235, 233, 255, 291, 332, 365, 380, 372, 342, 292, 233, 172, 116, 71, 39, 19, 10, 7, 8, 9, 10, 10, 8, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 3, 4, 6, 7, 8, 9, 10, 10, 9, 7, 6, 5, 4, 4, 5, 6, 8, 9, 9, 9, 8, 7, 6, 4, 3, 3, 4, 5, 6, 7, 8, 8, 8, 7, 7, 6, 6, 6, 7, 7, 8, 10, 11, 11, 11, 10, 11, 20, 41, 79, 136, 209, 291, 371, 436, 475, 482, 455, 400, 327, 247, 171, 107, 59, 28, 11, 4, 3, 5, 7, 8, 8, 7, 7, 8, 9, 10, 11, 11, 11, 10, 9, 8, 8, 8, 8, 8, 9, 10, 11, 12, 12, 11, 10, 11, 16, 30, 58, 104, 166, 244, 327, 405, 465, 496, 492, 456, 396, 326, 264, 222, 209, 224, 258, 298, 331, 345, 336, 303, 254, 197, 142, 94, 58, 35, 23, 18, 18, 19, 21, 21, 20, 18, 16, 14, 13, 12, 13, 14, 16, 16, 16, 15, 13, 12, 10, 9, 8, 8, 8, 8, 8, 8, 8, 7, 5, 3, 2, 1, 2, 2, 4, 5, 6, 6, 6, 5, 3, 2, 0, 0, 0, 1, 3, 5, 7, 8, 8, 7, 6, 4, 3, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 8, 9, 10, 10, 8, 6, 6, 10, 20, 42, 77, 128, 193, 264, 334, 391, 426, 430, 403, 350, 281, 206, 138, 84, 46, 25, 16, 15, 18, 20, 21, 20, 18, 16, 13, 12, 11, 11, 12, 12, 11, 9, 6, 4, 5, 13, 33, 68, 118, 181, 252, 321, 378, 413, 420, 398, 349, 282, 208, 137, 79, 37, 13, 2, 0, 0, 0, 0, 5, 22, 54, 103, 169, 243, 316, 376, 412, 419, 396, 352, 301, 261, 247, 269, 324, 403, 486, 553, 586, 576, 524, 440, 339, 238, 150, 82, 37, 12, 3, 2, 5, 9, 12, 13, 13, 12, 12, 12, 13, 15, 17, 18, 19, 18, 17, 15, 12, 9, 7, 6, 6, 6, 7, 8, 9, 8, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 1, 0, 0, 8, 28, 64, 116, 181, 254, 324, 381, 416, 422, 397, 346, 276, 199, 127, 68, 28, 6, 0, 0, 0, 2, 1, 0, 0, 0, 2, 5, 8, 9, 9, 8, 6, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 4, 4, 3, 2, 2, 2, 2, 3, 4, 6, 7, 9, 11, 12, 13, 13, 12, 10, 7, 5, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 7, 8, 8, 7, 5, 4, 4, 5, 6, 8, 9, 10, 10, 9, 8, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 2, 3, 4, 6, 8, 11, 14, 16, 18, 19, 19, 18, 16, 14, 12, 11, 10, 11, 12, 14, 16, 16, 15, 13, 9, 7, 10, 21, 44, 80, 129, 185, 241, 287, 317, 324, 307, 269, 218, 160, 106, 61, 28, 9, 0, 0, 2, 5, 8, 9, 9, 8, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 6, 7, 8, 9, 9, 8, 7, 6, 6, 7, 9, 12, 14, 16, 17, 15, 10, 5, 2, 6, 25, 65, 130, 219, 327, 437, 534, 597, 615, 584, 511, 415, 321, 253, 227, 248, 310, 392, 472, 528, 544, 515, 451, 368, 288, 232, 216, 244, 313, 406, 500, 572, 602, 583, 517, 423, 326, 251, 220, 242, 310, 404, 499, 567, 591, 563, 494, 402, 315, 256, 241, 274, 344, 433, 516, 571, 582, 545, 467, 364, 254, 155, 79, 30, 5, 0, 0, 5, 9, 11, 11, 10, 9, 8, 7, 6, 6, 6, 7, 8, 9, 9, 8, 7, 5, 4, 4, 4, 4, 5, 6, 7, 6, 6, 5, 5, 4, 5, 5, 7, 9, 11, 12, 14, 13, 11, 6, 1, 0, 7, 29, 73, 139, 226, 323, 417, 491, 532, 532, 490, 415, 320, 223, 136, 70, 28, 6, 0, 0, 0, 0, 0, 6, 28, 72, 141, 235, 343, 450, 538, 589, 595, 554, 476, 381, 292, 227, 201, 215, 261, 321, 377, 409, 409, 375, 313, 236, 159, 92, 43, 13, 1, 0, 3, 9, 14, 17, 19, 19, 18, 16, 13, 10, 7, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 8, 11, 12, 13, 12, 10, 7, 5, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 10, 14, 18, 20, 21, 18, 12, 6, 4, 13, 42, 97, 180, 286, 401, 508, 586, 621, 605, 542, 447, 343, 254, 199, 189, 223, 289, 368, 435, 473, 469, 426, 354, 275, 209, 173, 175, 209, 264, 322, 363, 377, 359, 312, 246, 174, 108, 56, 23, 5, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 4, 6, 7, 9, 9, 9, 7, 5, 3, 1, 0, 1, 2, 4, 5, 6, 7, 7, 7, 7, 6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 3, 1, 0, 0, 6, 26, 62, 115, 180, 250, 312, 356, 372, 357, 313, 249, 177, 109, 55, 20, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 7, 7, 7, 6, 4, 3, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 6, 30, 78, 155, 255, 367, 471, 548, 580, 561, 495, 400, 300, 224, 192, 214, 283, 382, 482, 558, 587, 563, 491, 386, 271, 165, 84, 31, 5, 0, 0, 5, 9, 11, 12, 13, 14, 15, 14, 14, 13, 11, 11, 11, 11, 11, 11, 11, 10, 9, 8, 9, 10, 13, 16, 18, 19, 17, 12, 6, 3, 8, 28, 68, 131, 212, 302, 389, 454, 486, 477, 428, 350, 263, 187, 141, 137, 176, 247, 333, 411, 462, 474, 444, 379, 295, 212, 150, 121, 134, 183, 257, 337, 404, 439, 434, 390, 318, 235, 162, 116, 106, 132, 184, 244, 297, 328, 328, 300, 248, 185, 123, 69, 31, 8, 0, 0, 1, 3, 2, 0, 0, 2, 23, 64, 128, 212, 304, 389, 453, 481, 467, 416, 336, 243, 155, 83, 34, 8, 0, 0, 1, 2, 2, 2, 2, 2, 3, 3, 3, 4, 6, 8, 8, 5, 0, 0, 5, 39, 107, 211, 344, 485, 610, 692, 714, 672, 574, 441, 301, 176, 82, 25, 0, 0, 3, 14, 23, 29, 33, 35, 35, 33, 29, 24, 19, 15, 12, 10, 8, 7, 6, 5, 5, 6, 7, 8, 9, 10, 11, 12, 15, 17, 19, 21, 22, 21, 19, 16, 13, 12, 11, 11, 11, 10, 5, 0, 0, 6, 34, 91, 177, 287, 408, 517, 594, 621, 593, 513, 400, 276, 163, 77, 24, 0, 0, 0, 5, 8, 8, 7, 6, 7, 7, 7, 5, 4, 2, 2, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 2, 3, 5, 5, 4, 3, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 4, 6, 7, 5, 1, 0, 1, 16, 51, 108, 185, 276, 365, 435, 471, 465, 418, 339, 244, 153, 78, 29, 4, 0, 0, 5, 9, 11, 11, 11, 11, 12, 12, 12, 12, 11, 10, 9, 8, 7, 6, 4, 3, 2, 2, 2, 2, 3, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 8, 10, 12, 13, 12, 8, 3, 1, 7, 28, 71, 134, 213, 296, 367, 411, 419, 387, 323, 240, 156, 85, 36, 8, 0, 0, 1, 3, 2, 1, 0, 0, 1, 2, 4, 7, 10, 13, 17, 18, 15, 9, 3, 2, 16, 50, 109, 189, 280, 367, 432, 461, 446, 392, 309, 216, 130, 63, 21, 2, 0, 0, 2, 3, 1, 0, 0, 1, 2, 4, 4, 4, 4, 4, 6, 7, 8, 8, 7, 5, 3, 2, 2, 3, 4, 6, 7, 7, 5, 3, 1, 1, 1, 3, 5, 7, 9, 11, 12, 12, 13, 13, 13, 14, 14, 14, 15, 17, 18, 19, 19, 15, 9, 2, 0, 7, 34, 85, 161, 255, 354, 440, 496, 509, 475, 403, 306, 204, 116, 51, 14, 0, 0, 1, 4, 4, 1, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 2, 2, 1, 1, 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, 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, 0, 1, 3, 4, 6, 7, 7, 6, 5, 3, 2, 1, 0, 1, 2, 4, 5, 4, 1, 0, 0, 13, 44, 98, 171, 255, 336, 397, 425, 414, 365, 289, 203, 122, 59, 19, 1, 0, 0, 2, 3, 1, 0, 0, 0, 3, 5, 6, 6, 6, 6, 6, 7, 8, 8, 8, 8, 7, 7, 6, 5, 6, 6, 8, 9, 9, 6, 1, 0, 2, 22, 64, 131, 215, 304, 380, 424, 426, 385, 315, 235, 171, 142, 160, 221, 311, 405, 479, 513, 495, 431, 335, 228, 131, 59, 16, 0, 0, 1, 4, 4, 1, 0, 0, 2, 5, 8, 10, 10, 10, 11, 12, 13, 14, 14, 13, 12, 11, 10, 10, 10, 9, 8, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 4, 3, 2, 1, 0, 0, 0, 1, 2, 3, 4, 4, 3, 2, 1, 0, 0, 1, 2, 3, 4, 4, 3, 1, 0, 0, 0, 0, 2, 4, 6, 8, 9, 9, 9, 7, 6, 6, 6, 7, 6, 6, 5, 6, 8, 9, 8, 3, 0, 0, 18, 68, 155, 275, 414, 545, 642, 681, 651, 560, 429, 292, 183, 129, 142, 217, 331, 452, 546, 588, 567, 489, 376, 259, 169, 129, 147, 217, 318, 421, 497, 528, 505, 436, 338, 230, 134, 62, 19, 3, 5, 13, 19, 15, 4, 0, 0, 37, 122, 254, 423, 599, 749, 839, 848, 775, 636, 464, 293, 153, 58, 9, 0, 0, 9, 16, 19, 17, 15, 13, 12, 11, 9, 8, 8, 8, 10, 12, 14, 15, 14, 14, 13, 12, 12, 12, 11, 10, 8, 6, 4, 1, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 9, 12, 14, 13, 7, 0, 0, 5, 41, 111, 214, 338, 461, 559, 608, 597, 529, 420, 294, 176, 84, 27, 0, 0, 1, 8, 11, 12, 11, 10, 11, 13, 15, 16, 16, 16, 16, 16, 17, 16, 13, 6, 0, 0, 9, 43, 104, 189, 286, 378, 445, 472, 451, 389, 299, 201, 114, 49, 11, 0, 0, 3, 9, 10, 7, 2, 3, 16, 51, 112, 198, 302, 405, 487, 531, 524, 469, 377, 267, 162, 78, 24, 0, 0, 3, 12, 17, 13, 4, 0, 1, 29, 90, 184, 304, 429, 535, 598, 603, 548, 446, 319, 195, 95, 29, 0, 0, 1, 9, 11, 6, 0, 0, 9, 50, 123, 225, 343, 456, 540, 577, 556, 483, 375, 255, 146, 65, 17, 0, 0, 4, 10, 13, 11, 8, 5, 3, 3, 3, 4, 4, 5, 6, 8, 10, 12, 13, 14, 13, 12, 9, 6, 4, 3, 3, 6, 8, 11, 12, 12, 10, 8, 5, 3, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 8, 9, 11, 12, 12, 12, 12, 12, 11, 11, 11, 11, 12, 12, 12, 11, 11, 10, 9, 7, 7, 6, 6, 6, 6, 7, 8, 8, 7, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 4, 7, 11, 15, 19, 22, 23, 23, 21, 18, 15, 13, 11, 10, 10, 10, 9, 8, 6, 3, 1, 0, 0, 0, 0, 1, 2, 3, 5, 6, 8, 9, 10, 11, 12, 12, 11, 10, 9, 7, 6, 5, 5, 5, 6, 7, 7, 8, 8, 8, 8, 7, 7, 8, 9, 11, 13, 15, 16, 17, 18, 19, 20, 20, 19, 18, 16, 15, 15, 16, 17, 16, 10, 1, 0, 2, 34, 100, 200, 324, 449, 549, 600, 588, 517, 403, 273, 153, 64, 12, 0, 0, 8, 16, 15, 5, 0, 0, 27, 103, 226, 385, 553, 695, 778, 780, 702, 563, 396, 237, 112, 34, 0, 0, 3, 13, 19, 20, 19, 17, 17, 17, 18, 19, 19, 20, 20, 21, 22, 23, 24, 25, 26, 28, 28, 29, 28, 26, 23, 19, 15, 12, 11, 11, 12, 10, 5, 0, 0, 12, 54, 130, 235, 355, 464, 536, 554, 510, 418, 299, 180, 86, 26, 0, 0, 1, 7, 9, 7, 6, 6, 8, 11, 11, 9, 6, 4, 5, 7, 8, 5, 0, 0, 5, 41, 110, 212, 333, 451, 539, 575, 551, 473, 360, 237, 129, 52, 9, 0, 0, 8, 16, 17, 15, 11, 7, 6, 6, 9, 12, 15, 18, 19, 19, 17, 15, 13, 12, 12, 14, 17, 20, 23, 24, 25, 25, 24, 19, 11, 2, 0, 0, 26, 81, 163, 262, 362, 440, 477, 464, 404, 313, 211, 120, 52, 13, 0, 0, 2, 5, 5, 3, 1, 0, 1, 2, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 7, 10, 12, 13, 12, 10, 8, 5, 3, 1, 1, 3, 5, 9, 13, 17, 20, 20, 16, 8, 0, 0, 11, 49, 114, 203, 303, 393, 455, 472, 439, 365, 266, 166, 83, 28, 1, 0, 0, 5, 6, 4, 1, 0, 1, 4, 8, 11, 13, 14, 16, 19, 21, 18, 11, 0, 0, 7, 53, 141, 266, 412, 548, 643, 671, 623, 512, 368, 228, 131, 100, 141, 237, 359, 468, 534, 538, 481, 378, 258, 146, 63, 14, 0, 0, 7, 14, 17, 15, 12, 10, 9, 10, 11, 13, 16, 18, 20, 22, 22, 21, 18, 15, 11, 7, 5, 5, 6, 7, 9, 10, 11, 10, 8, 6, 4, 4, 4, 5, 7, 8, 10, 13, 15, 17, 20, 22, 24, 25, 25, 23, 20, 15, 12, 10, 10, 10, 10, 5, 0, 0, 7, 46, 118, 219, 335, 442, 514, 532, 492, 404, 291, 178, 87, 28, 0, 0, 0, 6, 8, 7, 3, 1, 1, 1, 2, 3, 2, 1, 0, 0, 0, 0, 0, 1, 2, 4, 5, 6, 7, 8, 8, 9, 10, 11, 10, 9, 7, 4, 2, 1, 1, 3, 5, 7, 8, 8, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 7, 10, 12, 12, 10, 7, 4, 2, 0, 0, 1, 3, 5, 6, 7, 7, 8, 8, 10, 12, 14, 15, 13, 10, 7, 8, 14, 20, 21, 13, 0, 0, 9, 85, 231, 442, 686, 911, 1060, 1093, 1002, 811, 569, 335, 152, 40, 0, 0, 5, 18, 22, 18, 13, 10, 12, 15, 19, 19, 18, 16, 14, 14, 16, 21, 24, 23, 13, 0, 0, 8, 71, 191, 362, 559, 741, 863, 894, 825, 674, 481, 291, 139, 42, 0, 0, 0, 10, 15, 15, 12, 7, 1, 0, 0, 21, 80, 178, 307, 446, 563, 627, 621, 546, 422, 280, 152, 59, 9, 0, 0, 7, 12, 10, 5, 0, 0, 0, 0, 1, 2, 3, 3, 4, 4, 5, 4, 3, 2, 1, 1, 1, 2, 3, 5, 6, 9, 11, 14, 17, 18, 18, 17, 16, 14, 12, 12, 12, 13, 13, 14, 14, 13, 12, 10, 8, 6, 5, 4, 3, 3, 4, 4, 5, 6, 7, 8, 8, 6, 3, 0, 0, 0, 1, 7, 10, 6, 0, 0, 7, 55, 147, 277, 426, 560, 647, 662, 602, 482, 335, 194, 85, 20, 0, 0, 5, 14, 18, 18, 16, 15, 15, 17, 17, 16, 13, 10, 7, 5, 3, 2, 0, 0, 0, 0, 0, 2, 4, 4, 4, 2, 1, 2, 6, 10, 11, 7, 0, 0, 5, 49, 134, 257, 400, 532, 620, 641, 589, 479, 339, 202, 93, 24, 0, 0, 1, 13, 20, 17, 6, 0, 0, 21, 95, 220, 386, 566, 719, 805, 799, 698, 527, 329, 156, 56, 57, 159, 336, 542, 723, 829, 831, 729, 551, 345, 171, 74, 81, 185, 354, 537, 677, 736, 698, 574, 402, 229, 103, 54, 89, 193, 330, 458, 541, 556, 502, 397, 271, 152, 64, 13, 0, 0, 7, 13, 13, 10, 5, 2, 1, 2, 3, 4, 5, 6, 7, 10, 12, 13, 12, 11, 8, 5, 3, 2, 3, 5, 8, 11, 13, 14, 14, 13, 12, 12, 12, 14, 16, 18, 19, 20, 19, 17, 14, 12, 10, 9, 8, 7, 6, 6, 7, 9, 14, 18, 19, 13, 3, 0, 0, 33, 107, 221, 361, 498, 600, 640, 606, 508, 372, 231, 114, 36, 0, 0, 0, 6, 12, 13, 10, 4, 0, 0, 1, 35, 105, 208, 329, 442, 518, 534, 487, 388, 265, 149, 61, 11, 0, 0, 4, 9, 8, 3, 0, 0, 0, 0, 2, 3, 2, 1, 0, 0, 0, 0, 2, 3, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 6, 7, 8, 9, 11, 13, 16, 18, 19, 18, 16, 13, 9, 5, 2, 0, 0, 0, 0, 0, 1, 3, 4, 5, 7, 8, 9, 11, 12, 13, 14, 15, 16, 16, 16, 14, 11, 8, 5, 2, 2, 3, 5, 7, 9, 11, 11, 10, 8, 6, 4, 2, 2, 2, 3, 5, 7, 8, 8, 8, 7, 5, 3, 3, 2, 3, 5, 7, 9, 11, 11, 11, 9, 7, 5, 3, 2, 3, 4, 6, 8, 8, 8, 6, 4, 2, 1, 1, 2, 4, 6, 7, 7, 5, 3, 2, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 6, 8, 10, 11, 13, 14, 15, 16, 16, 17, 18, 18, 18, 18, 16, 15, 13, 12, 11, 11, 10, 9, 7, 5, 3, 1, 0, 0, 0, 1, 3, 5, 7, 9, 9, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 7, 9, 10, 10, 8, 5, 3, 1, 1, 2, 5, 8, 12, 17, 22, 24, 22, 14, 2, 0, 0, 34, 107, 216, 343, 461, 541, 560, 514, 415, 289, 167, 72, 14, 0, 0, 7, 21, 29, 27, 15, 0, 0, 4, 68, 189, 360, 556, 731, 841, 855, 769, 607, 412, 229, 93, 17, 0, 0, 8, 17, 17, 12, 8, 8, 11, 15, 16, 15, 12, 10, 9, 10, 12, 13, 14, 13, 11, 10, 10, 11, 12, 13, 12, 11, 12, 15, 18, 18, 11, 0, 0, 3, 50, 146, 287, 451, 602, 702, 722, 657, 525, 361, 204, 86, 17, 0, 0, 6, 14, 14, 10, 6, 6, 10, 15, 19, 21, 21, 19, 17, 15, 15, 14, 14, 14, 14, 13, 12, 11, 10, 9, 9, 10, 12, 13, 15, 17, 18, 18, 17, 15, 12, 9, 7, 7, 9, 13, 16, 15, 8, 0, 0, 11, 62, 153, 274, 404, 510, 566, 555, 481, 365, 236, 123, 44, 4, 0, 0, 9, 15, 15, 12, 9, 8, 9, 11, 13, 14, 15, 16, 16, 17, 17, 16, 15, 15, 15, 15, 15, 14, 12, 7, 3, 2, 5, 10, 13, 11, 2, 0, 0, 34, 116, 244, 398, 547, 651, 681, 628, 507, 352, 202, 86, 18, 0, 0, 5, 12, 11, 5, 0, 0, 0, 4, 6, 6, 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, 4, 5, 6, 5, 4, 3, 3, 4, 7, 10, 11, 12, 11, 10, 12, 15, 16, 12, 3, 0, 0, 35, 116, 241, 393, 539, 641, 666, 605, 472, 304, 148, 48, 31, 97, 221, 362, 478, 533, 515, 433, 314, 191, 90, 26, 0, 0, 3, 9, 9, 4, 0, 0, 0, 5, 11, 16, 18, 17, 15, 13, 14, 18, 21, 20, 12, 0, 0, 4, 55, 155, 298, 460, 603, 690, 696, 619, 481, 319, 171, 64, 7, 0, 0, 9, 14, 12, 5, 0, 0, 0, 2, 6, 9, 10, 10, 11, 12, 15, 17, 16, 10, 0, 0, 2, 41, 116, 224, 345, 451, 515, 517, 456, 351, 229, 119, 42, 2, 0, 0, 6, 10, 7, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 3, 5, 7, 8, 8, 8, 7, 6, 4, 2, 0, 0, 2, 8, 13, 14, 8, 0, 0, 11, 69, 175, 318, 472, 599, 665, 651, 562, 423, 269, 136, 45, 0, 0, 0, 13, 25, 27, 17, 0, 0, 0, 55, 172, 346, 553, 745, 872, 892, 795, 605, 376, 173, 58, 63, 185, 387, 607, 781, 861, 829, 700, 512, 316, 154, 48, 0, 0, 4, 17, 22, 20, 16, 13, 15, 19, 23, 25, 24, 21, 17, 14, 12, 12, 13, 14, 16, 17, 16, 14, 11, 7, 4, 2, 1, 3, 4, 6, 7, 7, 5, 4, 2, 1, 1, 1, 2, 3, 2, 1, 0, 0, 0, 2, 4, 6, 7, 5, 3, 3, 5, 9, 12, 11, 3, 0, 0, 30, 102, 215, 353, 487, 581, 604, 546, 417, 253, 99, 3, 0, 88, 259, 466, 656, 777, 797, 711, 543, 337, 149, 24, 0, 55, 190, 358, 510, 604, 615, 540, 399, 231, 84, 0, 0, 86, 237, 410, 557, 640, 639, 558, 424, 274, 142, 50, 3, 0, 0, 11, 20, 23, 20, 11, 0, 0, 0, 28, 98, 207, 339, 464, 551, 572, 523, 416, 282, 154, 59, 6, 0, 0, 13, 26, 31, 30, 25, 18, 12, 7, 4, 4, 6, 10, 15, 21, 26, 29, 27, 20, 6, 0, 0, 24, 96, 210, 350, 484, 577, 602, 551, 439, 298, 164, 64, 8, 0, 0, 8, 14, 13, 7, 1, 0, 0, 0, 0, 3, 6, 11, 16, 20, 22, 20, 15, 10, 6, 6, 9, 12, 14, 14, 14, 16, 23, 29, 28, 16, 0, 0, 13, 105, 271, 496, 733, 921, 1003, 951, 775, 523, 267, 75, 0, 40, 182, 370, 544, 650, 660, 576, 426, 256, 115, 43, 57, 149, 287, 428, 528, 559, 516, 413, 283, 159, 65, 12, 0, 0, 8, 14, 12, 7, 1, 0, 0, 0, 1, 2, 3, 4, 6, 8, 10, 10, 9, 6, 3, 1, 0, 1, 2, 4, 6, 6, 5, 3, 1, 0, 0, 0, 0, 1, 4, 7, 11, 14, 15, 15, 12, 8, 4, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 5, 10, 15, 19, 20, 19, 17, 13, 10, 7, 4, 2, 2, 3, 8, 14, 18, 16, 6, 0, 0, 20, 88, 200, 342, 482, 584, 618, 576, 468, 326, 187, 79, 15, 0, 0, 8, 20, 27, 29, 29, 29, 27, 24, 19, 13, 7, 4, 4, 7, 11, 15, 17, 17, 15, 12, 8, 6, 6, 9, 14, 22, 29, 36, 40, 40, 36, 31, 25, 20, 19, 20, 24, 28, 32, 34, 33, 29, 24, 19, 15, 14, 16, 21, 29, 38, 47, 53, 52, 41, 21, 1, 0, 8, 64, 160, 285, 413, 512, 555, 529, 442, 319, 192, 87, 22, 0, 0, 6, 18, 24, 24, 20, 15, 12, 9, 8, 8, 8, 10, 12, 14, 14, 14, 11, 8, 4, 1, 0, 0, 1, 5, 10, 16, 21, 25, 26, 25, 22, 17, 12, 8, 5, 4, 4, 5, 7, 9, 11, 12, 12, 12, 12, 12, 12, 13, 13, 13, 12, 10, 7, 5, 4, 5, 6, 8, 10, 11, 12, 15, 19, 23, 24, 17, 4, 0, 0, 36, 124, 256, 410, 549, 635, 641, 566, 433, 278, 140, 45, 0, 0, 0, 12, 19, 18, 16, 15, 16, 19, 20, 19, 17, 15, 16, 20, 26, 31, 33, 30, 24, 16, 8, 2, 1, 4, 11, 19, 26, 30, 30, 27, 21, 13, 7, 2, 0, 0, 0, 2, 4, 6, 7, 8, 8, 8, 7, 6, 7, 10, 16, 25, 35, 46, 53, 56, 54, 49, 43, 38, 35, 34, 34, 35, 38, 41, 43, 40, 27, 7, 0, 0, 45, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 160, 337, 549, 748, 881, 908, 822, 648, 435, 234, 87, 7, 0, 0, 21, 40, 51, 54, 54, 54, 51, 46, 39, 30, 22, 18, 18, 21, 23, 24, 21, 16, 10, 4, 0, 0, 3, 8, 13, 17, 19, 18, 15, 10, 5, 2, 0, 1, 4, 7, 10, 13, 16, 20, 22, 21, 14, 3, 0, 0, 26, 90, 185, 297, 400, 465, 475, 425, 330, 218, 115, 41, 2, 0, 0, 8, 12, 9, 4, 0, 0, 0, 3, 9, 14, 18, 21, 21, 20, 16, 11, 6, 2, 0, 1, 3, 8, 13, 18, 22, 24, 24, 23, 21, 17, 12, 8, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 5, 10, 16, 21, 24, 25, 23, 19, 15, 10, 8, 6, 6, 6, 6, 5, 4, 1, 0, 0, 1, 6, 13, 20, 25, 27, 28, 30, 33, 35, 30, 14, 0, 0, 24, 128, 308, 543, 785, 970, 1044, 980, 793, 532, 266, 66, 0, 14, 156, 356, 554, 693, 737, 679, 543, 369, 205, 82, 13, 0, 0, 11, 20, 19, 13, 7, 3, 3, 6, 10, 12, 13, 13, 10, 7, 5, 7, 11, 15, 15, 7, 0, 0, 19, 88, 206, 358, 511, 623, 658, 599, 458, 275, 104, 0, 0, 99, 279, 487, 663, 758, 749, 644, 479, 299, 147, 45, 0, 0, 1, 16, 25, 24, 14, 0, 0, 0, 34, 116, 237, 377, 502, 578, 582, 511, 387, 246, 122, 37, 0, 0, 1, 14, 21, 21, 18, 15, 13, 11, 8, 4, 1, 2, 7, 16, 28, 38, 45, 46, 42, 33, 22, 12, 5, 0, 0, 0, 2, 3, 4, 3, 2, 1, 1, 1, 2, 3, 4, 4, 5, 8, 12, 16, 14, 6, 0, 0, 11, 68, 165, 290, 416, 508, 540, 501, 403, 276, 152, 59, 7, 0, 0, 7, 13, 11, 5, 0, 0, 0, 1, 5, 7, 8, 8, 9, 12, 16, 21, 21, 14, 1, 0, 0, 38, 123, 246, 384, 503, 567, 558, 479, 352, 214, 99, 25, 0, 0, 4, 13, 14, 10, 3, 0, 0, 4, 8, 11, 12, 13, 13, 14, 16, 17, 18, 18, 19, 18, 18, 17, 15, 14, 15, 18, 23, 26, 24, 14, 0, 0, 9, 70, 184, 338, 505, 642, 712, 692, 588, 431, 263, 122, 32, 0, 0, 4, 17, 23, 22, 21, 22, 25, 29, 28, 24, 16, 8, 3, 2, 4, 8, 11, 12, 10, 6, 3, 1, 2, 5, 10, 13, 16, 16, 17, 19, 21, 18, 10, 0, 0, 2, 48, 136, 258, 391, 500, 554, 536, 452, 327, 195, 87, 20, 0, 0, 3, 11, 11, 6, 0, 0, 0, 0, 2, 5, 9, 12, 15, 17, 17, 14, 9, 4, 1, 0, 1, 5, 9, 12, 15, 18, 21, 25, 25, 18, 5, 0, 0, 27, 105, 225, 368, 500, 582, 589, 521, 397, 253, 126, 39, 0, 0, 1, 11, 13, 7, 0, 0, 0, 10, 22, 31, 35, 34, 32, 30, 29, 28, 20, 6, 0, 0, 34, 126, 270, 447, 615, 730, 755, 678, 517, 314, 125, 3, 0, 75, 256, 481, 690, 827, 855, 765, 584, 362, 156, 19, 0, 46, 190, 369, 533, 636, 650, 572, 426, 254, 107, 28, 39, 134, 282, 437, 552, 595, 557, 452, 314, 179, 76, 16, 0, 0, 7, 13, 12, 6, 0, 0, 0, 1, 4, 4, 3, 1, 0, 0, 0, 1, 5, 10, 14, 17, 16, 13, 11, 12, 16, 19, 17, 6, 0, 0, 24, 106, 242, 411, 577, 696, 731, 673, 538, 366, 201, 78, 9, 0, 0, 9, 17, 16, 11, 7, 8, 13, 18, 22, 21, 17, 12, 7, 5, 4, 4, 4, 5, 5, 6, 8, 10, 12, 15, 16, 16, 16, 16, 18, 21, 21, 16, 5, 0, 0, 20, 83, 184, 307, 424, 505, 524, 477, 377, 253, 136, 51, 5, 0, 0, 6, 10, 8, 3, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 4, 5, 7, 9, 11, 13, 15, 19, 25, 32, 38, 39, 30, 14, 0, 0, 23, 96, 214, 359, 500, 602, 637, 596, 491, 351, 209, 94, 20, 0, 0, 7, 26, 32, 22, 0, 0, 0, 81, 247, 482, 743, 962, 1078, 1054, 898, 658, 399, 184, 47, 0, 0, 7, 23, 25, 16, 6, 2, 6, 15, 23, 27, 26, 21, 16, 11, 8, 7, 9, 11, 15, 19, 22, 24, 22, 18, 13, 7, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 6, 7, 8, 8, 9, 10, 11, 13, 14, 12, 9, 5, 5, 9, 16, 21, 17, 3, 0, 0, 42, 150, 313, 503, 673, 775, 777, 678, 510, 319, 154, 45, 0, 0, 2, 16, 19, 14, 7, 5, 10, 18, 24, 25, 21, 15, 12, 14, 18, 20, 13, 0, 0, 2, 59, 171, 327, 497, 639, 710, 690, 584, 425, 255, 116, 28, 0, 0, 6, 19, 24, 21, 17, 14, 14, 16, 16, 16, 14, 12, 11, 10, 10, 9, 8, 6, 6, 7, 10, 14, 17, 20, 22, 25, 28, 29, 25, 12, 0, 0, 9, 74, 188, 339, 497, 619, 672, 639, 530, 377, 221, 97, 22, 0, 0, 5, 13, 13, 7, 0, 0, 0, 1, 6, 9, 10, 11, 10, 10, 9, 7, 6, 5, 4, 5, 7, 10, 12, 14, 14, 14, 14, 13, 13, 13, 12, 11, 8, 6, 3, 2, 3, 7, 13, 19, 25, 28, 28, 24, 18, 12, 8, 7, 10, 15, 21, 25, 27, 25, 19, 13, 6, 3, 2, 6, 13, 21, 29, 36, 38, 38, 34, 28, 21, 16, 11, 9, 8, 8, 8, 7, 5, 3, 1, 0, 0, 0, 3, 7, 11, 15, 18, 19, 17, 13, 8, 3, 0, 1, 5, 13, 23, 33, 42, 47, 47, 43, 35, 26, 16, 8, 2, 0, 2, 5, 10, 15, 20, 22, 23, 22, 20, 16, 13, 12, 11, 13, 16, 18, 20, 21, 20, 18, 16, 14, 13, 14, 15, 18, 21, 23, 25, 24, 23, 21, 18, 15, 13, 11, 8, 6, 3, 2, 0, 0, 0, 0, 0, 0, 1, 2, 5, 8, 10, 12, 13, 13, 11, 9, 7, 6, 5, 5, 5, 6, 5, 5, 3, 2, 0, 0, 0, 0, 3, 6, 11, 17, 22, 26, 27, 25, 21, 16, 11, 8, 7, 7, 9, 10, 10, 8, 4, 1, 0, 0, 2, 6, 10, 13, 14, 12, 9, 5, 3, 5, 13, 24, 36, 47, 54, 58, 61, 63, 61, 50, 27, 0, 0, 8, 112, 304, 565, 842, 1065, 1169, 1123, 939, 673, 397, 175, 38, 0, 0, 10, 27, 28, 17, 6, 1, 4, 12, 21, 26, 28, 28, 26, 23, 18, 12, 6, 2, 1, 5, 13, 25, 36, 44, 48, 45, 38, 30, 25, 27, 36, 49, 63, 71, 70, 60, 48, 38, 32, 28, 20, 5, 0, 0, 36, 146, 320, 534, 738, 878, 910, 825, 649, 432, 230, 83, 5, 0, 0, 15, 24, 21, 12, 6, 7, 15, 25, 34, 38, 36, 31, 24, 18, 14, 13, 14, 17, 20, 23, 24, 24, 23, 21, 19, 17, 14, 12, 9, 6, 3, 1, 1, 3, 8, 14, 19, 23, 24, 21, 16, 10, 5, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 3, 9, 15, 19, 20, 18, 16, 17, 21, 23, 17, 3, 0, 0, 42, 152, 321, 521, 704, 818, 828, 732, 558, 357, 178, 55, 0, 0, 2, 20, 27, 23, 13, 4, 1, 3, 7, 11, 13, 13, 11, 9, 7, 5, 3, 1, 1, 1, 2, 5, 7, 8, 8, 6, 4, 2, 0, 0, 0, 1, 3, 5, 8, 9, 10, 10, 8, 6, 4, 3, 1, 0, 0, 2, 7, 12, 16, 17, 13, 7, 2, 2, 7, 14, 16, 8, 0, 0, 14, 89, 220, 392, 566, 697, 747, 700, 570, 397, 226, 93, 15, 0, 0, 8, 22, 24, 14, 0, 0, 0, 41, 127, 250, 390, 513, 586, 587, 516, 392, 251, 127, 41, 0, 0, 0, 9, 12, 9, 2, 0, 0, 0, 4, 10, 16, 21, 25, 28, 31, 32, 32, 32, 33, 34, 36, 35, 32, 27, 22, 18, 16, 16, 14, 8, 0, 0, 3, 45, 124, 234, 354, 454, 505, 493, 419, 306, 186, 86, 22, 0, 0, 3, 10, 11, 5, 0, 0, 0, 4, 11, 16, 19, 18, 15, 11, 6, 2, 0, 0, 1, 4, 9, 15, 21, 26, 29, 29, 27, 23, 18, 12, 7, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 6, 7, 8, 8, 9, 9, 9, 9, 10, 10, 10, 11, 11, 12, 12, 13, 15, 16, 16, 17, 17, 16, 16, 15, 15, 15, 15, 14, 13, 11, 9, 6, 4, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 4, 6, 7, 8, 8, 6, 5, 4, 3, 3, 5, 6, 8, 9, 8, 7, 5, 2, 0, 0, 0, 0, 2, 4, 6, 7, 8, 8, 7, 7, 8, 9, 11, 14, 19, 25, 32, 36, 37, 34, 26, 18, 12, 12, 14, 13, 7, 0, 0, 8, 65, 170, 314, 468, 595, 660, 644, 553, 411, 257, 124, 34, 0, 0, 6, 24, 30, 17, 0, 0, 8, 95, 250, 458, 676, 848, 925, 886, 741, 532, 317, 143, 35, 0, 0, 6, 20, 23, 18, 13, 12, 16, 22, 26, 26, 23, 19, 15, 13, 12, 12, 12, 11, 9, 8, 7, 6, 7, 8, 9, 11, 13, 14, 13, 12, 9, 5, 2, 1, 1, 4, 8, 12, 14, 13, 9, 6, 5, 8, 16, 26, 33, 34, 27, 17, 10, 10, 16, 21, 17, 1, 0, 0, 64, 213, 438, 701, 940, 1089, 1102, 976, 749, 484, 248, 83, 1, 0, 1, 19, 25, 18, 8, 3, 5, 10, 9, 1, 0, 5, 53, 149, 287, 440, 572, 646, 640, 555, 416, 262, 129, 40, 0, 0, 0, 10, 13, 10, 5, 3, 7, 12, 17, 20, 21, 22, 23, 25, 21, 11, 0, 0, 9, 68, 173, 315, 463, 579, 630, 601, 500, 356, 209, 92, 20, 0, 0, 6, 15, 15, 10, 3, 0, 0, 0, 1, 3, 5, 8, 12, 18, 24, 29, 32, 33, 32, 28, 24, 19, 15, 12, 9, 8, 8, 9, 11, 13, 14, 15, 15, 15, 14, 12, 11, 10, 10, 10, 12, 15, 18, 21, 22, 22, 20, 16, 12, 8, 4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 8, 11, 14, 17, 19, 20, 19, 17, 14, 10, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 8, 13, 17, 21, 22, 22, 20, 16, 13, 10, 9, 11, 15, 21, 29, 39, 51, 64, 76, 81, 78, 65, 47, 30, 21, 21, 23, 20, 6, 0, 0, 44, 174, 384, 646, 902, 1084, 1139, 1050, 844, 579, 325, 132, 22, 0, 0, 13, 27, 27, 21, 16, 17, 23, 31, 36, 36, 31, 25, 20, 16, 15, 16, 18, 20, 22, 25, 27, 30, 31, 31, 30, 27, 23, 18, 14, 10, 7, 4, 3, 3, 4, 5, 7, 8, 10, 12, 14, 16, 17, 17, 17, 17, 16, 15, 14, 12, 10, 8, 6, 3, 2, 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, 1, 2, 5, 8, 12, 17, 23, 28, 33, 36, 38, 39, 38, 37, 36, 35, 33, 30, 25, 19, 13, 11, 13, 19, 27, 33, 34, 27, 17, 9, 7, 13, 19, 17, 5, 0, 0, 42, 164, 360, 602, 836, 1000, 1047, 961, 769, 525, 292, 117, 18, 0, 0, 11, 22, 21, 15, 12, 16, 25, 35, 41, 40, 34, 26, 19, 13, 9, 8, 7, 7, 8, 10, 13, 16, 19, 21, 21, 20, 18, 16, 14, 13, 15, 19, 25, 33, 39, 42, 40, 33, 25, 18, 17, 18, 17, 11, 0, 0, 2, 56, 162, 313, 484, 632, 717, 715, 626, 476, 306, 155, 50, 0, 0, 5, 25, 37, 40, 38, 37, 38, 42, 45, 44, 37, 27, 19, 16, 17, 17, 11, 0, 0, 12, 81, 215, 411, 638, 845, 977, 990, 874, 657, 401, 185, 76, 113, 285, 542, 806, 998, 1062, 984, 794, 549, 312, 132, 28, 0, 0, 11, 21, 20, 13, 7, 7, 14, 22, 27, 26, 21, 13, 7, 2, 0, 0, 0, 1, 2, 3, 5, 7, 8, 8, 7, 5, 4, 2, 0, 0, 0, 0, 1, 4, 6, 8, 9, 9, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 7, 10, 14, 16, 18, 18, 17, 14, 10, 7, 5, 5, 8, 13, 19, 26, 31, 35, 36, 34, 29, 23, 16, 10, 5, 2, 0, 0, 0, 0, 0, 0, 1, 3, 4, 6, 6, 5, 3, 0, 0, 3, 9, 18, 27, 31, 29, 21, 11, 3, 2, 6, 11, 11, 2, 0, 0, 39, 135, 285, 469, 646, 772, 811, 753, 616, 436, 259, 118, 30, 0, 0, 1, 16, 23, 19, 5, 0, 0, 27, 118, 270, 471, 683, 856, 944, 917, 779, 566, 336, 151, 57, 72, 182, 343, 503, 611, 637, 579, 457, 308, 171, 69, 13, 0, 0, 7, 11, 11, 10, 13, 22, 33, 43, 46, 40, 29, 17, 11, 11, 14, 13, 5, 0, 0, 36, 130, 285, 485, 693, 856, 931, 890, 744, 529, 308, 139, 66, 102, 225, 390, 542, 636, 648, 578, 452, 305, 170, 70, 13, 0, 0, 12, 21, 18, 4, 0, 0, 35, 131, 279, 458, 630, 750, 786, 727, 589, 411, 238, 103, 23, 0, 0, 6, 13, 13, 6, 0, 0, 0, 0, 4, 6, 7, 6, 4, 3, 2, 1, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 8, 17, 26, 32, 30, 23, 13, 6, 5, 8, 13, 10, 0, 0, 0, 49, 156, 320, 514, 699, 826, 860, 791, 640, 447, 260, 114, 28, 0, 0, 5, 13, 12, 5, 0, 0, 0, 2, 6, 8, 7, 4, 2, 0, 0, 0, 0, 1, 2, 4, 5, 6, 6, 6, 7, 12, 21, 32, 42, 47, 44, 33, 19, 6, 2, 5, 12, 13, 5, 0, 0, 37, 146, 330, 572, 829, 1041, 1153, 1134, 989, 757, 496, 264, 100, 13, 0, 0, 12, 19, 16, 8, 3, 5, 13, 22, 29, 30, 28, 23, 17, 12, 8, 4, 2, 0, 0, 0, 1, 2, 3, 4, 5, 6, 7, 9, 12, 16, 20, 24, 27, 28, 26, 23, 19, 14, 11, 9, 9, 12, 16, 20, 23, 24, 22, 17, 12, 7, 3, 1, 2, 5, 8, 11, 13, 13, 12, 10, 7, 5, 4, 4, 5, 8, 12, 16, 20, 24, 25, 24, 22, 18, 13, 9, 6, 6, 8, 12, 17, 21, 22, 19, 13, 6, 1, 0, 4, 7, 7, 1, 0, 0, 30, 101, 216, 360, 509, 627, 685, 667, 577, 440, 288, 155, 60, 10, 0, 0, 5, 9, 7, 2, 0, 0, 0, 1, 2, 3, 3, 3, 3, 5, 8, 11, 14, 16, 17, 17, 15, 12, 10, 8, 7, 8, 10, 14, 18, 22, 24, 24, 22, 19, 14, 9, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 8, 9, 10, 9, 8, 6, 4, 2, 1, 1, 2, 4, 6, 7, 7, 6, 4, 2, 0, 0, 0, 0, 2, 5, 7, 9, 10, 10, 8, 6, 3, 1, 0, 0, 0, 1, 4, 7, 9, 11, 11, 10, 7, 5, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 3, 5, 7, 9, 12, 15, 19, 22, 25, 26, 23, 17, 9, 1, 0, 0, 3, 6, 5, 0, 0, 4, 41, 117, 232, 370, 508, 613, 660, 637, 550, 420, 279, 154, 64, 14, 0, 0, 3, 7, 6, 2, 0, 0, 0, 2, 5, 9, 11, 13, 14, 14, 13, 11, 9, 6, 4, 4, 4, 5, 7, 10, 12, 14, 16, 18, 20, 20, 21, 21, 20, 18, 15, 12, 9, 6, 3, 1, 0, 0, 0, 0, 2, 4, 7, 11, 15, 19, 22, 23, 24, 24, 23, 22, 20, 16, 11, 6, 2, 0, 2, 5, 8, 6, 0, 0, 6, 44, 123, 242, 391, 543, 665, 726, 709, 617, 472, 312, 178, 106, 113, 195, 330, 479, 603, 670, 665, 592, 470, 329, 197, 95, 30, 0, 0, 0, 8, 11, 9, 1, 0, 0, 19, 75, 169, 294, 431, 553, 632, 649, 598, 493, 358, 223, 112, 39, 3, 0, 0, 6, 8, 5, 0, 0, 0, 3, 9, 15, 21, 24, 26, 25, 23, 19, 15, 12, 9, 8, 7, 8, 10, 12, 15, 13, 7, 0, 0, 14, 66, 164, 305, 473, 637, 763, 820, 793, 687, 531, 365, 235, 176, 200, 300, 441, 582, 680, 706, 657, 551, 425, 323, 277, 302, 392, 516, 635, 712, 721, 658, 536, 386, 238, 120, 42, 5, 0, 0, 6, 7, 4, 0, 0, 0, 0, 2, 4, 3, 2, 1, 0, 0, 0, 1, 2, 3, 5, 5, 6, 5, 4, 3, 1, 0, 0, 0, 0, 1, 2, 3, 5, 8, 12, 16, 20, 24, 27, 28, 27, 25, 21, 16, 11, 7, 4, 3, 1, 1, 0, 0, 0, 0, 0, 2, 4, 6, 9, 11, 13, 14, 14, 13, 10, 8, 5, 3, 2, 3, 5, 8, 12, 16, 19, 21, 20, 18, 15, 11, 7, 3, 1, 0, 0, 0, 1, 2, 3, 4, 4, 3, 2, 1, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 3, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 6, 7, 7, 9, 11, 14, 18, 22, 24, 24, 21, 17, 11, 6, 2, 0, 0, 0, 0, 1, 2, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 3, 4, 5, 6, 5, 5, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 7, 9, 11, 12, 12, 11, 10, 8, 6, 4, 1, 0, 0, 0, 1, 1, 0, 0, 2, 18, 54, 114, 196, 294, 392, 475, 527, 536, 500, 425, 326, 221, 128, 59, 19, 2, 0, 0, 0, 1, 17, 56, 127, 229, 350, 473, 575, 637, 647, 601, 510, 391, 266, 157, 76, 25, 0, 0, 0, 18, 54, 114, 199, 301, 405, 493, 546, 555, 517, 441, 342, 237, 144, 72, 27, 4, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 4, 7, 10, 13, 15, 16, 15, 13, 11, 7, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 9, 11, 14, 16, 17, 17, 16, 14, 10, 6, 3, 1, 0, 0, 0, 0, 2, 4, 6, 8, 9, 9, 9, 7, 6, 5, 4, 4, 4, 4, 4, 3, 3, 2, 1, 0, 0, 0, 2, 13, 35, 73, 126, 191, 262, 328, 379, 407, 407, 379, 326, 259, 187, 120, 67, 30, 9, 0, 0, 0, 1, 2, 4, 7, 10, 14, 16, 16, 15, 12, 8, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 26, 61, 114, 185, 267, 352, 427, 481, 506, 498, 459, 394, 313, 229, 151, 87, 42, 14, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 10, 11, 12, 12, 12, 12, 10, 9, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 10, 13, 17, 20, 21, 22, 21, 19, 16, 14, 12, 11, 10, 10, 11, 12, 12, 12, 11, 9, 7, 5, 2, 0, 0, 0, 2, 11, 27, 56, 101, 161, 237, 323, 410, 488, 546, 577, 578, 550, 504, 452, 405, 375, 366, 375, 396, 418, 433, 434, 421, 398, 373, 352, 342, 342, 350, 358, 359, 348, 322, 283, 233, 179, 127, 81, 45, 21, 7, 1, 0, 0, 0, 0, 0, 0, 1, 4, 7, 10, 12, 14, 16, 17, 17, 18, 19, 20, 21, 22, 22, 22, 21, 20, 17, 15, 13, 10, 7, 5, 3, 1, 0, 0, 0, 0, 1, 7, 20, 44, 79, 127, 185, 248, 313, 371, 418, 449, 464, 464, 451, 433, 413, 396, 384, 376, 369, 360, 344, 319, 285, 244, 197, 150, 107, 69, 40, 19, 7, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 6, 7, 9, 11, 13, 14, 14, 14, 12, 10, 8, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 3, 6, 11, 19, 31, 48, 70, 95, 123, 150, 175, 197, 212, 220, 221, 213, 199, 178, 153, 126, 98, 73, 50, 32, 19, 10, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 9, 17, 27, 41, 57, 76, 97, 119, 141, 161, 178, 191, 198, 198, 192, 181, 165, 146, 126, 105, 85, 66, 48, 33, 20, 11, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 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, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 3, 3, 4, 5, 6, 8, 10, 12, 14, 16, 19, 22, 25, 30, 34, 39, 43, 47, 51, 53, 56, 60, 63, 68, 72, 75, 77, 78, 78, 76, 75, 73, 71, 70, 68, 67, 65, 62, 59, 55, 50, 45, 42, 39, 37, 35, 32, 27, 21, 16, 13, 11, 11],
"basecallPos": [3114, 3126, 3140, 3155, 3167, 3179, 3192, 3205, 3220, 3231, 3242, 3254, 3268, 3280, 3294, 3308, 3321, 3334, 3346, 3359, 3371, 3382, 3396, 3408, 3423, 3435, 3450, 3461, 3474, 3486, 3500, 3513, 3525, 3540, 3552, 3566, 3577, 3589, 3605, 3617, 3631, 3645, 3656, 3669, 3681, 3693, 3705, 3718, 3731, 3744, 3755, 3768, 3782, 3794, 3807, 3820, 3832, 3846, 3858, 3872, 3884, 3896, 3909, 3922, 3934, 3946, 3960, 3974, 3986, 4000, 4015, 4026, 4039, 4052, 4065, 4075, 4088, 4101, 4111, 4125, 4138, 4151, 4163, 4176, 4188, 4201, 4214, 4227, 4239, 4251, 4264, 4278, 4290, 4303, 4315, 4327, 4341, 4354, 4367, 4379, 4392, 4403, 4417, 4430, 4442, 4456, 4469, 4482, 4495, 4506, 4518, 4531, 4544, 4555, 4568, 4582, 4593, 4604, 4617, 4630, 4642, 4653, 4665, 4677, 4690, 4702, 4715, 4728, 4741, 4753, 4766, 4779, 4792, 4805, 4817, 4829, 4841, 4854, 4865, 4877, 4890, 4902, 4915, 4928, 4939, 4952, 4965, 4977, 4989, 5000, 5013, 5027, 5039, 5051, 5062, 5074, 5087, 5100, 5112, 5125, 5138, 5150, 5162, 5174, 5185, 5198, 5210, 5221, 5235, 5248, 5260, 5272, 5284, 5297, 5310, 5323, 5334, 5347, 5359, 5372, 5384, 5396, 5409, 5422, 5435, 5447, 5460, 5473, 5486, 5498, 5510, 5522, 5533, 5545, 5557, 5569, 5582, 5595, 5608, 5620, 5633, 5644, 5655, 5667, 5680, 5692, 5705, 5718, 5729, 5740, 5753, 5765, 5777, 5789, 5801, 5813, 5826, 5838, 5851, 5864, 5876, 5888, 5900, 5912, 5925, 5936, 5948, 5959, 5972, 5984, 5997, 6009, 6022, 6033, 6045, 6057, 6069, 6081, 6095, 6107, 6119, 6132, 6144, 6156, 6170, 6181, 6193, 6205, 6218, 6229, 6241, 6253, 6265, 6277, 6289, 6302, 6314, 6327, 6339, 6350, 6362, 6374, 6386, 6399, 6411, 6424, 6437, 6448, 6460, 6472, 6483, 6496, 6508, 6521, 6533, 6544, 6557, 6569, 6582, 6593, 6605, 6618, 6630, 6642, 6654, 6667, 6679, 6692, 6703, 6715, 6727, 6739, 6750, 6762, 6775, 6786, 6799, 6811, 6823, 6836, 6848, 6861, 6873, 6885, 6897, 6909, 6921, 6934, 6947, 6958, 6971, 6982, 6994, 7005, 7018, 7030, 7043, 7054, 7065, 7078, 7090, 7103, 7115, 7128, 7140, 7152, 7164, 7176, 7188, 7201, 7213, 7224, 7235, 7247, 7259, 7271, 7284, 7297, 7309, 7321, 7333, 7345, 7357, 7369, 7380, 7392, 7405, 7418, 7430, 7442, 7454, 7467, 7479, 7490, 7502, 7514, 7526, 7537, 7548, 7560, 7571, 7584, 7596, 7608, 7620, 7634, 7646, 7658, 7670, 7682, 7694, 7707, 7718, 7731, 7743, 7755, 7766, 7779, 7791, 7804, 7817, 7827, 7840, 7851, 7862, 7875, 7887, 7899, 7910, 7922, 7934, 7947, 7959, 7970, 7982, 7994, 8006, 8017, 8030, 8041, 8054, 8066, 8078, 8089, 8101, 8113, 8125, 8138, 8150, 8162, 8174, 8185, 8197, 8210, 8222, 8234, 8246, 8258, 8270, 8282, 8295, 8307, 8319, 8331, 8344, 8356, 8369, 8381, 8392, 8403, 8416, 8427, 8439, 8450, 8462, 8474, 8486, 8499, 8511, 8523, 8535, 8546, 8558, 8570, 8582, 8593, 8606, 8617, 8629, 8642, 8654, 8666, 8678, 8691, 8703, 8715, 8728, 8740, 8752, 8765, 8776, 8788, 8799, 8812, 8824, 8837, 8848, 8859, 8871, 8884, 8896, 8908, 8920, 8933, 8945, 8957, 8968, 8979, 8992, 9004, 9016, 9028, 9039, 9051, 9063, 9076, 9087, 9100, 9112, 9123, 9135, 9148, 9159, 9171, 9182, 9193, 9206, 9218, 9231, 9243, 9254, 9267, 9279, 9291, 9302, 9314, 9326, 9337, 9349, 9362, 9373, 9385, 9398, 9409, 9421, 9432, 9443, 9454, 9467, 9479, 9491, 9504, 9516, 9527, 9538, 9550, 9563, 9575, 9587, 9599, 9610, 9623, 9636, 9648, 9660, 9672, 9683, 9695, 9707, 9719, 9731, 9743, 9755, 9767, 9779, 9791, 9803, 9815, 9827, 9840, 9852, 9862, 9874, 9886, 9898, 9911, 9923, 9935, 9947, 9960, 9971, 9983, 9996, 10008, 10020, 10031, 10042, 10054, 10065, 10078, 10091, 10103, 10114, 10126, 10137, 10149, 10161, 10172, 10185, 10196, 10209, 10221, 10233, 10246, 10257, 10269, 10282, 10294, 10305, 10317, 10328, 10340, 10352, 10363, 10374, 10385, 10398, 10408, 10421, 10433, 10445, 10458, 10469, 10481, 10493, 10505, 10516, 10526, 10540, 10552, 10565, 10577, 10589, 10602, 10612, 10624, 10635, 10646, 10658, 10671, 10682, 10693, 10705, 10716, 10729, 10741, 10752, 10765, 10776, 10787, 10800, 10812, 10825, 10836, 10849, 10861, 10873, 10886, 10898, 10909, 10920, 10932, 10944, 10955, 10968, 10979, 10991, 11004, 11016, 11028, 11040, 11052, 11063, 11076, 11088, 11101, 11113, 11126, 11137, 11148, 11159, 11170, 11182, 11194, 11205, 11216, 11227, 11239, 11251, 11262, 11275, 11287, 11299, 11311, 11324, 11336, 11348, 11359, 11370, 11380, 11393, 11406, 11418, 11430, 11442, 11453, 11466, 11478, 11489, 11501, 11511, 11523, 11534, 11547, 11559, 11571, 11583, 11595, 11607, 11618, 11630, 11641, 11654, 11666, 11678, 11691, 11703, 11715, 11728, 11740, 11752, 11764, 11774, 11787, 11799, 11812, 11826, 11835, 11847, 11858, 11870, 11881, 11893, 11905, 11917, 11929, 11942, 11955, 11968, 11981, 11993, 12005, 12015, 12027, 12039, 12049, 12062, 12073, 12085, 12095, 12106, 12117, 12129, 12142, 12154, 12167, 12179, 12189, 12201, 12213, 12224, 12235, 12248, 12261, 12271, 12284, 12296, 12309, 12322, 12334, 12345, 12356, 12367, 12380, 12393, 12404, 12416, 12428, 12441, 12454, 12466, 12477, 12489, 12501, 12513, 12525, 12536, 12549, 12560, 12573, 12586, 12597, 12610, 12622, 12634, 12646, 12655, 12667, 12680, 12691, 12703, 12714, 12722, 12734, 12745, 12755, 12768, 12778, 12792, 12805, 12817, 12829, 12841, 12854, 12866, 12879, 12891, 12904, 12918, 12932, 12942, 12953, 12962, 12972, 12982, 12995, 13007],
"basecalls": {"3114":"1:T", "3126":"2:A", "3140":"3:C", "3155":"4:C", "3167":"5:T", "3179":"6:G", "3192":"7:C", "3205":"8:A", "3220":"9:T", "3231":"10:T", "3242":"11:G", "3254":"12:A", "3268":"13:C", "3280":"14:A", "3294":"15:G", "3308":"16:C", "3321":"17:C", "3334":"18:G", "3346":"19:T", "3359":"20:G", "3371":"21:G", "3382":"22:A", "3396":"23:G", "3408":"24:A", "3423":"25:C", "3435":"26:A", "3450":"27:G", "3461":"28:G", "3474":"29:G", "3486":"30:G", "3500":"31:C", "3513":"32:T", "3525":"33:A", "3540":"34:C", "3552":"35:C", "3566":"36:A", "3577":"37:A", "3589":"38:T", "3605":"39:C", "3617":"40:C", "3631":"41:G", "3645":"42:T", "3656":"43:T", "3669":"44:G", "3681":"45:G", "3693":"46:T", "3705":"47:G", "3718":"48:C", "3731":"49:C", "3744":"50:T", "3755":"51:T", "3768":"52:C", "3782":"53:G", "3794":"54:G", "3807":"55:A", "3820":"56:C", "3832":"57:A", "3846":"58:C", "3858":"59:C", "3872":"60:G", "3884":"61:T", "3896":"62:G", "3909":"63:C", "3922":"64:A", "3934":"65:A", "3946":"66:A", "3960":"67:C", "3974":"68:G", "3986":"69:C", "4000":"70:G", "4015":"71:C", "4026":"72:C", "4039":"73:A", "4052":"74:T", "4065":"75:G", "4075":"76:T", "4088":"77:C", "4101":"78:A", "4111":"79:T", "4125":"80:C", "4138":"81:C", "4151":"82:A", "4163":"83:G", "4176":"84:A", "4188":"85:G", "4201":"86:A", "4214":"87:C", "4227":"88:G", "4239":"89:G", "4251":"90:A", "4264":"91:C", "4278":"92:G", "4290":"93:C", "4303":"94:G", "4315":"95:A", "4327":"96:T", "4341":"97:C", "4354":"98:A", "4367":"99:G", "4379":"100:A", "4392":"101:G", "4403":"102:T", "4417":"103:C", "4430":"104:C", "4442":"105:A", "4456":"106:C", "4469":"107:G", "4482":"108:G", "4495":"109:T", "4506":"110:T", "4518":"111:G", "4531":"112:A", "4544":"113:G", "4555":"114:T", "4568":"115:C", "4582":"116:A", "4593":"117:T", "4604":"118:T", "4617":"119:C", "4630":"120:T", "4642":"121:T", "4653":"122:T", "4665":"123:G", "4677":"124:C", "4690":"125:A", "4702":"126:A", "4715":"127:G", "4728":"128:A", "4741":"129:G", "4753":"130:G", "4766":"131:G", "4779":"132:G", "4792":"133:C", "4805":"134:T", "4817":"135:T", "4829":"136:G", "4841":"137:T", "4854":"138:G", "4865":"139:T", "4877":"140:G", "4890":"141:G", "4902":"142:C", "4915":"143:T", "4928":"144:A", "4939":"145:T", "4952":"146:C", "4965":"147:A", "4977":"148:T", "4989":"149:T", "5000":"150:G", "5013":"151:A", "5027":"152:G", "5039":"153:G", "5051":"154:T", "5062":"155:G", "5074":"156:G", "5087":"157:A", "5100":"158:C", "5112":"159:A", "5125":"160:A", "5138":"161:T", "5150":"162:G", "5162":"163:A", "5174":"164:T", "5185":"165:G", "5198":"166:C", "5210":"167:A", "5221":"168:C", "5235":"169:C", "5248":"170:G", "5260":"171:A", "5272":"172:C", "5284":"173:A", "5297":"174:A", "5310":"175:A", "5323":"176:G", "5334":"177:C", "5347":"178:G", "5359":"179:C", "5372":"180:G", "5384":"181:C", "5396":"-", "5409":"182:C", "5422":"183:A", "5435":"184:G", "5447":"185:C", "5460":"186:A", "5473":"187:G", "5486":"188:A", "5498":"189:T", "5510":"190:T", "5522":"191:G", "5533":"192:T", "5545":"193:T", "5557":"194:T", "5569":"195:T", "5582":"196:C", "5595":"197:G", "5608":"198:G", "5620":"199:T", "5633":"200:T", "5644":"201:T", "5655":"202:G", "5667":"203:G", "5680":"204:A", "5692":"205:A", "5705":"206:A", "5718":"207:A", "5729":"208:T", "5740":"209:A", "5753":"210:A", "5765":"211:C", "5777":"212:T", "5789":"213:T", "5801":"214:A", "5813":"215:C", "5826":"216:A", "5838":"217:A", "5851":"218:A", "5864":"219:G", "5876":"220:A", "5888":"221:T", "5900":"222:A", "5912":"223:C", "5925":"224:T", "5936":"225:G", "5948":"226:T", "5959":"227:T", "5972":"228:C", "5984":"229:A", "5997":"230:A", "6009":"231:C", "6022":"232:T", "6033":"233:G", "6045":"234:A", "6057":"235:G", "6069":"236:A", "6081":"237:C", "6095":"238:G", "6107":"239:C", "6119":"240:A", "6132":"241:A", "6144":"242:A", "6156":"243:C", "6170":"244:T", "6181":"245:G", "6193":"246:G", "6205":"247:A", "6218":"248:A", "6229":"249:T", "6241":"250:T", "6253":"251:T", "6265":"252:T", "6277":"253:T", "6289":"254:C", "6302":"255:A", "6314":"256:C", "6327":"257:A", "6339":"258:T", "6350":"259:A", "6362":"260:T", "6374":"261:T", "6386":"262:C", "6399":"263:G", "6411":"264:A", "6424":"265:G", "6437":"266:A", "6448":"267:T", "6460":"268:T", "6472":"269:T", "6483":"270:G", "6496":"271:A", "6508":"272:C", "6521":"273:A", "6533":"274:T", "6544":"275:G", "6557":"276:G", "6569":"277:A", "6582":"278:G", "6593":"279:T", "6605":"280:T", "6618":"281:C", "6630":"282:A", "6642":"283:C", "6654":"284:T", "6667":"285:T", "6679":"286:T", "6692":"287:T", "6703":"288:G", "6715":"289:T", "6727":"290:G", "6739":"291:G", "6750":"292:T", "6762":"293:C", "6775":"294:A", "6786":"295:C", "6799":"296:C", "6811":"297:T", "6823":"298:C", "6836":"299:A", "6848":"300:A", "6861":"301:A", "6873":"302:C", "6885":"303:T", "6897":"304:A", "6909":"305:C", "6921":"306:A", "6934":"307:C", "6947":"308:T", "6958":"309:G", "6971":"310:A", "6982":"311:T", "6994":"312:G", "7005":"313:C", "7018":"314:A", "7030":"315:A", "7043":"316:A", "7054":"317:T", "7065":"318:A", "7078":"319:A", "7090":"320:C", "7103":"321:G", "7115":"322:G", "7128":"323:A", "7140":"324:C", "7152":"325:A", "7164":"326:T", "7176":"327:G", "7188":"328:C", "7201":"329:A", "7213":"330:T", "7224":"331:T", "7235":"332:G", "7247":"333:A", "7259":"334:A", "7271":"335:C", "7284":"336:C", "7297":"337:A", "7309":"338:A", "7321":"339:G", "7333":"340:T", "7345":"341:T", "7357":"342:T", "7369":"343:A", "7380":"344:T", "7392":"345:C", "7405":"346:A", "7418":"347:G", "7430":"348:A", "7442":"349:T", "7454":"350:A", "7467":"351:A", "7479":"352:T", "7490":"353:G", "7502":"354:T", "7514":"355:A", "7526":"356:T", "7537":"357:A", "7548":"358:T", "7560":"359:A", "7571":"360:C", "7584":"361:C", "7596":"362:A", "7608":"363:C", "7620":"364:C", "7634":"365:C", "7646":"366:G", "7658":"367:G", "7670":"368:A", "7682":"369:G", "7694":"370:C", "7707":"371:A", "7718":"372:C", "7731":"373:C", "7743":"374:T", "7755":"375:A", "7766":"376:T", "7779":"377:C", "7791":"378:C", "7804":"379:C", "7817":"380:T", "7827":"381:G", "7840":"382:G", "7851":"383:T", "7862":"384:A", "7875":"385:A", "7887":"386:A", "7899":"387:T", "7910":"388:G", "7922":"389:G", "7934":"390:A", "7947":"391:A", "7959":"392:T", "7970":"393:G", "7982":"394:A", "7994":"395:T", "8006":"396:T", "8017":"397:A", "8030":"398:C", "8041":"399:A", "8054":"400:C", "8066":"401:G", "8078":"402:T", "8089":"403:G", "8101":"404:G", "8113":"405:C", "8125":"406:A", "8138":"407:G", "8150":"408:A", "8162":"409:C", "8174":"410:G", "8185":"411:T", "8197":"412:C", "8210":"413:C", "8222":"414:T", "8234":"415:C", "8246":"416:T", "8258":"417:A", "8270":"418:A", "8282":"419:C", "8295":"420:C", "8307":"421:C", "8319":"422:G", "8331":"423:T", "8344":"424:C", "8356":"425:G", "8369":"426:G", "8381":"427:T", "8392":"428:G", "8403":"429:T", "8416":"430:T", "8427":"431:T", "8439":"432:T", "8450":"433:A", "8462":"434:C", "8474":"435:A", "8486":"436:C", "8499":"437:C", "8511":"438:T", "8523":"439:A", "8535":"440:T", "8546":"441:G", "8558":"442:G", "8570":"443:G", "8582":"444:G", "8593":"445:C", "8606":"446:G", "8617":"447:C", "8629":"448:C", "8642":"449:C", "8654":"450:C", "8666":"451:C", "8678":"452:A", "8691":"453:G", "8703":"454:C", "8715":"455:A", "8728":"456:A", "8740":"457:G", "8752":"458:A", "8765":"459:A", "8776":"460:T", "8788":"461:A", "8799":"462:T", "8812":"463:C", "8824":"464:A", "8837":"465:G", "8848":"466:T", "8859":"467:G", "8871":"468:C", "8884":"469:C", "8896":"470:C", "8908":"471:T", "8920":"472:A", "8933":"473:C", "8945":"474:G", "8957":"475:T", "8968":"476:G", "8979":"477:G", "8992":"478:G", "9004":"479:A", "9016":"480:A", "9028":"481:T", "9039":"482:T", "9051":"483:G", "9063":"484:C", "9076":"485:T", "9087":"486:A", "9100":"487:A", "9112":"488:T", "9123":"489:G", "9135":"490:C", "9148":"491:G", "9159":"492:T", "9171":"493:A", "9182":"494:T", "9193":"495:T", "9206":"496:C", "9218":"497:C", "9231":"498:C", "9243":"499:A", "9254":"500:C", "9267":"501:T", "9279":"502:T", "9291":"503:T", "9302":"504:T", "9314":"505:A", "9326":"506:T", "9337":"507:G", "9349":"508:A", "9362":"509:T", "9373":"510:G", "9385":"511:G", "9398":"512:G", "9409":"513:T", "9421":"514:T", "9432":"515:T", "9443":"516:G", "9454":"517:C", "9467":"518:A", "9479":"519:A", "9491":"520:A", "9504":"521:A", "9516":"522:G", "9527":"523:T", "9538":"524:A", "9550":"525:C", "9563":"526:C", "9575":"527:A", "9587":"528:C", "9599":"529:T", "9610":"530:A", "9623":"531:G", "9636":"532:C", "9648":"533:G", "9660":"534:G", "9672":"535:G", "9683":"536:T", "9695":"537:C", "9707":"538:A", "9719":"539:A", "9731":"540:G", "9743":"541:C", "9755":"542:C", "9767":"-", "9779":"-", "9791":"543:T", "9803":"544:C", "9815":"545:A", "9827":"546:A", "9840":"547:C", "9852":"548:T", "9862":"549:G", "9874":"550:A", "9886":"551:A", "9898":"-", "9911":"552:G", "9923":"553:G", "9935":"554:C", "9947":"555:G", "9960":"556:A", "9971":"557:T", "9983":"558:T", "9996":"559:C", "10008":"560:G", "10020":"561:T", "10031":"562:T", "10042":"563:G", "10054":"564:T", "10065":"565:A", "10078":"566:C", "10091":"567:G", "10103":"568:G", "10114":"569:T", "10126":"570:G", "10137":"571:C", "10149":"572:T", "10161":"573:G", "10172":"574:C", "10185":"575:C", "10196":"576:T", "10209":"577:C", "10221":"578:A", "10233":"579:C", "10246":"580:T", "10257":"581:G", "10269":"582:A", "10282":"583:A", "10294":"584:T", "10305":"585:G", "10317":"586:A", "10328":"587:T", "10340":"588:T", "10352":"589:T", "10363":"590:T", "10374":"591:G", "10385":"592:G", "10398":"593:A", "10408":"594:T", "10421":"595:C", "10433":"596:A", "10445":"597:C", "10458":"598:T", "10469":"599:G", "10481":"600:G", "10493":"601:C", "10505":"602:T", "10516":"603:G", "10526":"604:T", "10540":"605:C", "10552":"606:C", "10565":"607:G", "10577":"608:C", "10589":"609:G", "10602":"610:T", "10612":"611:G", "10624":"612:G", "10635":"613:T", "10646":"614:A", "10658":"615:A", "10671":"616:A", "10682":"617:T", "10693":"618:G", "10705":"619:A", "10716":"620:C", "10729":"621:C", "10741":"622:A", "10752":"623:C", "10765":"624:A", "10776":"625:A", "10787":"626:C", "10800":"627:C", "10812":"628:C", "10825":"629:C", "10836":"630:A", "10849":"631:C", "10861":"632:G", "10873":"633:C", "10886":"634:G", "10898":"635:G", "10909":"636:C", "10920":"637:T", "10932":"638:C", "10944":"639:A", "10955":"640:C", "10968":"641:C", "10979":"642:T", "10991":"643:C", "11004":"644:C", "11016":"645:A", "11028":"646:A", "11040":"647:G", "11052":"648:A", "11063":"649:T", "11076":"650:C", "11088":"651:A", "11101":"652:G", "11113":"653:A", "11126":"654:G", "11137":"655:T", "11148":"656:G", "11159":"657:T", "11170":"658:A", "11182":"659:C", "11194":"660:A", "11205":"661:T", "11216":"662:G", "11227":"663:A", "11239":"664:A", "11251":"665:G", "11262":"666:C", "11275":"667:C", "11287":"668:A", "11299":"669:A", "11311":"670:A", "11324":"671:G", "11336":"672:C", "11348":"673:A", "11359":"674:T", "11370":"675:G", "11380":"676:T", "11393":"677:C", "11406":"678:A", "11418":"679:G", "11430":"680:A", "11442":"681:G", "11453":"682:T", "11466":"683:C", "11478":"684:T", "11489":"685:G", "11501":"686:G", "11511":"687:T", "11523":"688:G", "11534":"689:C", "11547":"690:C", "11559":"691:C", "11571":"692:A", "11583":"693:C", "11595":"694:G", "11607":"695:A", "11618":"696:C", "11630":"697:C", "11641":"698:T", "11654":"699:C", "11666":"700:C", "11678":"701:A", "11691":"702:C", "11703":"703:G", "11715":"704:A", "11728":"705:G", "11740":"706:C", "11752":"707:A", "11764":"708:G", "11774":"709:T", "11787":"710:C", "11799":"711:C", "11812":"712:C", "11826":"713:A", "11835":"714:T", "11847":"715:A", "11858":"716:C", "11870":"717:T", "11881":"718:T", "11893":"719:C", "11905":"720:G", "11917":"721:G", "11929":"722:A", "11942":"723:C", "11955":"724:C", "11968":"725:A", "11981":"726:G", "11993":"727:G", "12005":"728:T", "12015":"729:G", "12027":"730:T", "12039":"731:T", "12049":"732:G", "12062":"733:A", "12073":"734:T", "12085":"735:T", "12095":"736:A", "12106":"737:T", "12117":"738:A", "12129":"739:A", "12142":"740:A", "12154":"741:G", "12167":"742:A", "12179":"743:T", "12189":"744:G", "12201":"745:G", "12213":"746:G", "12224":"747:C", "12235":"748:T", "12248":"749:C", "12261":"750:A", "12271":"751:C", "12284":"752:C", "12296":"753:C", "12309":"754:C", "12322":"755:A", "12334":"756:C", "12345":"757:T", "12356":"758:A", "12367":"759:C", "12380":"760:C", "12393":"761:A", "12404":"762:G", "12416":"763:A", "12428":"764:A", "12441":"765:A", "12454":"766:A", "12466":"767:G", "12477":"768:G", "12489":"769:G", "12501":"770:A", "12513":"771:C", "12525":"772:T", "12536":"773:A", "12549":"774:A", "12560":"775:C", "12573":"776:G", "12586":"777:A", "12597":"778:C", "12610":"779:T", "12622":"780:T", "12634":"781:A", "12646":"782:T", "12655":"783:G", "12667":"784:G", "12680":"785:A", "12691":"786:T", "12703":"787:T", "12714":"788:T", "12722":"789:G", "12734":"790:G", "12745":"791:A", "12755":"792:C", "12768":"793:A", "12778":"794:C", "12792":"795:C", "12805":"796:A", "12817":"797:A", "12829":"798:A", "12841":"799:A", "12854":"800:C", "12866":"801:A", "12879":"802:A", "12891":"803:A", "12904":"804:G", "12918":"805:C", "12932":"806:T", "12942":"807:G", "12953":"808:T", "12962":"809:G", "12972":"810:T", "12982":"811:A", "12995":"812:C", "13007":"813:A"}
}
, {
"traceFileName": "dataset_152166",
"leadingGaps": 2490,
"trailingGaps": 4119,
"peakA": [9, 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, 0, 0, 0, 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, 8, 10, 12, 15, 19, 24, 30, 36, 44, 50, 56, 62, 66, 70, 74, 78, 82, 84, 84, 83, 81, 77, 73, 69, 64, 59, 53, 46, 41, 37, 36, 38, 41, 45, 50, 56, 62, 70, 80, 91, 103, 115, 126, 135, 142, 146, 149, 151, 152, 152, 151, 149, 145, 141, 136, 131, 129, 128, 131, 135, 141, 146, 150, 151, 149, 145, 140, 134, 129, 124, 121, 119, 121, 124, 131, 139, 149, 159, 169, 176, 183, 187, 190, 191, 193, 193, 194, 193, 192, 189, 185, 179, 172, 163, 152, 140, 126, 110, 93, 76, 61, 49, 41, 39, 42, 51, 63, 77, 91, 106, 122, 138, 155, 172, 185, 194, 195, 189, 178, 163, 146, 129, 112, 95, 78, 63, 50, 43, 42, 49, 64, 84, 109, 136, 163, 189, 212, 230, 241, 246, 242, 232, 215, 193, 167, 139, 111, 85, 62, 44, 31, 24, 24, 30, 42, 61, 84, 113, 143, 175, 203, 227, 244, 252, 250, 239, 220, 195, 167, 137, 107, 81, 58, 40, 25, 15, 8, 4, 2, 3, 4, 6, 9, 10, 10, 10, 8, 6, 4, 3, 1, 0, 0, 0, 0, 2, 8, 19, 36, 60, 91, 128, 168, 210, 249, 282, 304, 313, 310, 293, 266, 231, 191, 151, 112, 78, 49, 28, 13, 5, 1, 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, 3, 9, 20, 37, 60, 92, 131, 177, 226, 274, 316, 348, 367, 374, 373, 370, 368, 373, 383, 397, 408, 411, 402, 379, 342, 295, 242, 188, 138, 94, 58, 32, 15, 5, 1, 0, 0, 0, 0, 3, 17, 43, 87, 148, 226, 314, 406, 491, 560, 606, 622, 607, 562, 493, 408, 316, 227, 149, 87, 43, 16, 3, 0, 0, 2, 4, 5, 5, 5, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 9, 12, 15, 17, 19, 19, 18, 16, 13, 9, 5, 2, 0, 0, 0, 0, 0, 0, 3, 16, 40, 78, 131, 195, 265, 334, 394, 436, 453, 444, 408, 351, 281, 208, 140, 85, 44, 18, 5, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 6, 9, 10, 10, 8, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 12, 32, 66, 114, 173, 239, 302, 355, 390, 400, 383, 341, 280, 210, 141, 83, 41, 15, 2, 0, 0, 4, 19, 49, 98, 164, 243, 325, 397, 448, 471, 464, 430, 379, 324, 277, 251, 249, 270, 306, 346, 377, 389, 376, 338, 281, 215, 149, 92, 49, 20, 5, 0, 0, 2, 6, 10, 15, 20, 24, 25, 24, 20, 15, 10, 7, 4, 3, 3, 3, 3, 3, 2, 0, 0, 2, 13, 41, 91, 167, 266, 379, 490, 581, 638, 650, 621, 564, 500, 454, 442, 473, 541, 627, 707, 757, 761, 713, 618, 493, 358, 233, 132, 62, 21, 3, 0, 0, 2, 4, 6, 9, 12, 15, 16, 16, 15, 13, 12, 13, 15, 19, 23, 26, 29, 30, 29, 25, 20, 14, 8, 3, 0, 0, 0, 0, 2, 3, 4, 4, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 6, 7, 8, 8, 7, 6, 3, 1, 0, 0, 1, 4, 4, 0, 0, 0, 24, 82, 181, 321, 486, 654, 797, 887, 907, 853, 735, 575, 404, 249, 129, 51, 9, 0, 0, 12, 46, 104, 186, 285, 384, 465, 511, 513, 474, 403, 314, 224, 145, 83, 41, 16, 4, 1, 2, 5, 8, 11, 12, 13, 14, 15, 15, 16, 15, 13, 12, 10, 9, 8, 6, 1, 0, 0, 18, 64, 144, 255, 386, 516, 623, 684, 687, 633, 531, 403, 272, 158, 74, 24, 1, 0, 0, 2, 3, 1, 0, 0, 0, 0, 1, 2, 5, 9, 15, 21, 27, 30, 30, 28, 24, 19, 14, 9, 5, 1, 0, 0, 0, 3, 4, 1, 0, 0, 17, 68, 160, 293, 456, 624, 769, 861, 880, 822, 698, 532, 358, 204, 92, 25, 0, 0, 1, 6, 6, 3, 2, 4, 10, 18, 26, 32, 35, 37, 37, 36, 35, 33, 30, 27, 23, 20, 17, 14, 11, 9, 7, 6, 7, 8, 10, 13, 15, 18, 19, 19, 18, 15, 12, 9, 7, 6, 7, 9, 12, 14, 16, 16, 14, 12, 9, 6, 4, 4, 4, 4, 4, 4, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 7, 9, 12, 13, 13, 13, 12, 10, 8, 6, 4, 2, 0, 0, 0, 1, 3, 6, 7, 8, 7, 6, 5, 5, 5, 5, 6, 5, 4, 3, 2, 0, 0, 0, 0, 0, 3, 6, 9, 11, 12, 11, 10, 9, 8, 7, 5, 3, 0, 0, 1, 6, 10, 11, 4, 0, 0, 29, 111, 250, 438, 645, 830, 952, 982, 918, 783, 621, 481, 401, 396, 457, 552, 638, 681, 660, 576, 448, 305, 176, 79, 22, 0, 0, 13, 27, 36, 41, 41, 40, 38, 37, 36, 36, 36, 36, 35, 34, 32, 28, 25, 21, 20, 19, 20, 18, 15, 9, 2, 0, 0, 4, 8, 7, 0, 0, 0, 41, 131, 277, 465, 664, 834, 936, 946, 861, 702, 506, 313, 157, 55, 5, 0, 0, 9, 12, 8, 1, 0, 0, 0, 9, 18, 24, 23, 14, 1, 0, 10, 62, 161, 304, 473, 637, 761, 814, 785, 678, 520, 348, 194, 82, 19, 0, 0, 4, 8, 8, 6, 7, 13, 24, 35, 42, 44, 42, 37, 31, 23, 12, 0, 0, 8, 54, 146, 281, 445, 609, 736, 796, 769, 659, 494, 314, 169, 98, 123, 241, 423, 622, 787, 876, 866, 763, 597, 410, 252, 159, 148, 214, 332, 462, 566, 611, 585, 495, 366, 238, 152, 136, 203, 340, 514, 678, 787, 810, 740, 596, 421, 266, 179, 186, 289, 461, 653, 815, 901, 891, 787, 618, 424, 246, 111, 31, 0, 0, 7, 17, 21, 19, 15, 12, 12, 16, 22, 29, 36, 42, 45, 46, 43, 39, 33, 27, 20, 14, 8, 3, 1, 3, 7, 10, 8, 1, 0, 0, 29, 99, 210, 351, 496, 612, 672, 659, 578, 449, 303, 171, 74, 18, 0, 0, 3, 7, 7, 4, 2, 3, 8, 14, 19, 22, 22, 20, 17, 13, 10, 7, 5, 2, 1, 2, 4, 8, 12, 15, 15, 12, 7, 3, 2, 5, 9, 9, 3, 0, 0, 21, 88, 202, 353, 515, 653, 732, 732, 653, 516, 356, 206, 93, 25, 0, 0, 3, 8, 8, 4, 1, 1, 5, 10, 16, 19, 20, 19, 17, 14, 11, 9, 6, 4, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 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, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 8, 14, 18, 18, 14, 7, 2, 2, 8, 14, 15, 6, 0, 0, 31, 134, 309, 544, 797, 1013, 1136, 1135, 1010, 794, 541, 307, 133, 31, 0, 0, 6, 14, 11, 3, 0, 0, 12, 28, 43, 51, 52, 47, 38, 28, 19, 13, 7, 4, 2, 0, 0, 0, 0, 0, 1, 2, 3, 3, 4, 4, 4, 4, 3, 2, 1, 0, 0, 0, 2, 5, 7, 8, 5, 1, 0, 0, 5, 11, 13, 6, 0, 0, 20, 97, 235, 421, 625, 800, 903, 905, 807, 634, 430, 242, 103, 23, 0, 0, 6, 11, 8, 3, 1, 7, 20, 33, 41, 41, 36, 28, 22, 19, 15, 8, 0, 0, 10, 64, 164, 306, 467, 612, 701, 707, 624, 473, 295, 143, 64, 89, 219, 423, 651, 843, 950, 946, 836, 652, 441, 250, 109, 27, 0, 0, 1, 9, 12, 11, 5, 0, 0, 0, 30, 103, 220, 372, 530, 659, 726, 714, 625, 483, 323, 179, 75, 17, 0, 0, 4, 8, 6, 3, 2, 6, 13, 22, 28, 29, 27, 21, 15, 10, 7, 6, 6, 6, 7, 8, 9, 11, 14, 18, 20, 22, 22, 21, 18, 14, 11, 9, 7, 7, 7, 7, 8, 9, 10, 10, 11, 12, 12, 11, 11, 10, 11, 12, 14, 15, 16, 16, 16, 15, 13, 12, 10, 9, 8, 6, 5, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 2, 3, 3, 4, 5, 6, 6, 6, 5, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 7, 15, 23, 29, 30, 25, 17, 11, 11, 18, 24, 22, 8, 0, 0, 44, 176, 395, 675, 960, 1181, 1280, 1228, 1042, 771, 484, 241, 77, 0, 0, 2, 22, 27, 14, 0, 0, 17, 89, 210, 364, 523, 653, 719, 705, 614, 469, 307, 163, 61, 7, 0, 0, 7, 12, 10, 6, 5, 11, 21, 32, 40, 42, 37, 26, 15, 7, 5, 9, 14, 15, 7, 0, 0, 26, 108, 245, 424, 610, 754, 815, 769, 624, 417, 209, 62, 27, 122, 330, 601, 865, 1055, 1124, 1058, 880, 639, 394, 194, 64, 3, 0, 1, 12, 14, 10, 7, 10, 21, 36, 49, 54, 51, 41, 28, 16, 8, 3, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 3, 9, 15, 18, 16, 10, 5, 6, 14, 24, 28, 16, 0, 0, 18, 137, 358, 665, 1001, 1288, 1448, 1436, 1254, 956, 619, 323, 116, 10, 0, 0, 16, 24, 20, 13, 14, 26, 43, 58, 64, 58, 44, 27, 13, 3, 0, 0, 1, 3, 5, 7, 8, 10, 12, 12, 12, 11, 9, 6, 3, 1, 0, 1, 3, 7, 9, 11, 11, 9, 7, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 4, 4, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 7, 7, 6, 4, 5, 9, 15, 18, 14, 1, 0, 0, 45, 150, 308, 495, 668, 781, 802, 724, 571, 384, 211, 83, 13, 0, 0, 8, 15, 15, 11, 10, 14, 20, 25, 26, 22, 15, 8, 2, 0, 0, 0, 2, 3, 4, 5, 5, 6, 7, 7, 8, 7, 6, 4, 2, 2, 3, 5, 7, 7, 4, 0, 0, 1, 8, 16, 18, 9, 0, 0, 18, 106, 260, 465, 680, 850, 928, 890, 748, 542, 328, 153, 41, 0, 0, 4, 17, 20, 17, 13, 13, 16, 21, 23, 20, 14, 6, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 3, 3, 3, 3, 3, 3, 3, 3, 2, 0, 0, 0, 0, 7, 14, 15, 6, 0, 0, 27, 109, 244, 413, 580, 697, 728, 659, 506, 315, 147, 56, 71, 191, 378, 576, 726, 784, 738, 607, 430, 254, 116, 31, 0, 0, 6, 16, 19, 17, 14, 14, 18, 24, 29, 33, 33, 31, 25, 17, 8, 2, 2, 8, 17, 21, 14, 0, 0, 6, 83, 232, 445, 684, 892, 1015, 1016, 896, 690, 453, 241, 91, 11, 0, 0, 6, 18, 25, 27, 22, 9, 0, 0, 20, 128, 324, 594, 890, 1140, 1277, 1260, 1093, 825, 525, 264, 84, 0, 0, 1, 27, 37, 26, 2, 0, 0, 53, 167, 330, 512, 672, 769, 775, 689, 534, 352, 188, 70, 8, 0, 0, 8, 14, 13, 11, 13, 21, 32, 40, 42, 37, 27, 15, 6, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 5, 6, 6, 5, 3, 1, 0, 0, 1, 4, 6, 8, 9, 8, 6, 4, 2, 1, 0, 1, 2, 3, 2, 0, 0, 0, 0, 3, 9, 12, 7, 0, 0, 7, 58, 152, 280, 414, 522, 571, 548, 459, 330, 197, 89, 22, 0, 0, 3, 12, 14, 11, 8, 7, 7, 8, 8, 6, 3, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 4, 8, 12, 13, 12, 10, 10, 14, 18, 19, 11, 0, 0, 3, 64, 181, 345, 526, 678, 759, 745, 641, 477, 298, 144, 41, 0, 0, 3, 19, 24, 15, 0, 0, 0, 49, 141, 268, 407, 526, 596, 598, 530, 412, 275, 150, 59, 8, 0, 0, 10, 20, 23, 23, 21, 19, 17, 15, 12, 9, 6, 6, 6, 7, 7, 7, 5, 3, 2, 0, 0, 0, 0, 2, 7, 14, 22, 31, 37, 39, 37, 32, 26, 20, 16, 14, 14, 14, 13, 11, 8, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 8, 13, 18, 24, 28, 31, 30, 27, 21, 15, 9, 4, 2, 3, 8, 14, 19, 20, 16, 8, 0, 0, 1, 12, 20, 18, 4, 0, 0, 52, 184, 387, 629, 853, 998, 1022, 918, 718, 479, 259, 100, 13, 0, 0, 7, 20, 28, 30, 25, 11, 0, 0, 16, 114, 291, 532, 789, 997, 1098, 1060, 895, 650, 392, 179, 44, 0, 0, 9, 26, 26, 11, 0, 0, 21, 86, 186, 304, 417, 497, 524, 490, 404, 290, 174, 81, 22, 0, 0, 4, 13, 18, 18, 17, 16, 16, 18, 19, 20, 20, 22, 24, 28, 32, 35, 36, 35, 31, 27, 22, 18, 16, 15, 14, 13, 10, 6, 2, 0, 0, 4, 10, 18, 26, 31, 32, 30, 25, 18, 10, 4, 0, 0, 2, 8, 15, 24, 30, 34, 33, 28, 20, 11, 4, 2, 4, 8, 14, 17, 16, 12, 8, 8, 12, 18, 18, 10, 0, 0, 15, 92, 230, 416, 613, 773, 852, 827, 706, 523, 327, 160, 49, 0, 0, 5, 23, 32, 33, 29, 27, 28, 32, 35, 36, 33, 29, 27, 26, 25, 20, 8, 0, 0, 23, 98, 222, 379, 534, 644, 674, 610, 466, 280, 108, 0, 0, 87, 264, 475, 664, 779, 794, 709, 552, 368, 199, 77, 11, 0, 0, 13, 23, 24, 20, 16, 15, 17, 19, 21, 21, 18, 14, 10, 6, 3, 1, 0, 0, 0, 1, 4, 8, 11, 12, 11, 8, 5, 1, 0, 0, 2, 7, 12, 16, 19, 20, 19, 16, 12, 7, 4, 1, 0, 0, 0, 1, 2, 4, 5, 6, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 9, 11, 12, 10, 7, 3, 0, 0, 1, 7, 15, 23, 30, 34, 33, 29, 23, 15, 9, 4, 2, 2, 2, 4, 4, 4, 4, 3, 2, 1, 1, 1, 1, 2, 4, 5, 7, 7, 7, 6, 4, 3, 4, 6, 9, 12, 14, 13, 11, 7, 4, 1, 0, 0, 0, 1, 3, 5, 8, 10, 10, 10, 8, 5, 3, 0, 0, 0, 0, 4, 9, 15, 20, 22, 21, 17, 11, 5, 1, 0, 0, 2, 5, 6, 7, 5, 3, 0, 0, 0, 2, 5, 9, 10, 10, 9, 6, 3, 1, 0, 0, 0, 2, 8, 15, 24, 31, 36, 37, 33, 25, 17, 9, 4, 1, 0, 0, 1, 2, 5, 8, 11, 12, 11, 8, 5, 6, 13, 23, 30, 25, 7, 0, 0, 51, 190, 407, 670, 918, 1086, 1125, 1023, 811, 547, 298, 113, 11, 0, 0, 19, 30, 22, 2, 0, 3, 62, 171, 322, 489, 639, 733, 747, 675, 537, 367, 206, 85, 15, 0, 0, 13, 26, 29, 27, 23, 22, 26, 31, 36, 38, 35, 29, 20, 12, 7, 5, 9, 16, 25, 35, 43, 47, 48, 44, 37, 28, 19, 12, 9, 10, 14, 21, 27, 32, 33, 31, 26, 19, 12, 6, 4, 3, 5, 7, 10, 12, 13, 13, 13, 12, 11, 9, 7, 5, 4, 5, 7, 7, 5, 2, 0, 0, 2, 9, 16, 15, 5, 0, 0, 33, 125, 268, 441, 603, 708, 723, 640, 483, 300, 148, 72, 93, 202, 360, 515, 617, 632, 554, 405, 230, 84, 15, 50, 184, 384, 596, 760, 831, 794, 662, 476, 286, 132, 36, 0, 0, 4, 13, 14, 11, 11, 18, 31, 47, 58, 61, 55, 43, 28, 15, 5, 0, 0, 2, 8, 17, 26, 33, 35, 32, 25, 16, 7, 1, 0, 0, 3, 7, 10, 11, 11, 10, 9, 9, 9, 11, 13, 15, 17, 17, 15, 12, 8, 5, 2, 0, 0, 0, 0, 3, 9, 17, 25, 30, 30, 25, 16, 9, 7, 9, 11, 9, 0, 0, 0, 33, 110, 227, 362, 484, 560, 566, 500, 384, 248, 127, 43, 0, 0, 0, 10, 15, 14, 10, 8, 9, 12, 14, 14, 11, 7, 4, 1, 0, 0, 0, 2, 6, 10, 15, 18, 20, 20, 18, 14, 9, 5, 2, 1, 1, 3, 5, 6, 5, 2, 0, 0, 0, 6, 12, 13, 6, 0, 0, 13, 74, 180, 314, 447, 542, 570, 523, 415, 278, 149, 54, 4, 0, 0, 8, 13, 11, 5, 0, 0, 0, 3, 7, 9, 10, 10, 9, 8, 6, 4, 2, 2, 2, 2, 2, 1, 0, 0, 0, 3, 10, 13, 9, 0, 0, 2, 54, 152, 289, 438, 559, 619, 598, 503, 364, 217, 99, 25, 0, 0, 8, 16, 17, 16, 19, 27, 33, 29, 9, 0, 0, 53, 203, 437, 718, 979, 1148, 1175, 1052, 816, 536, 281, 100, 6, 0, 0, 20, 35, 41, 41, 39, 33, 18, 0, 0, 10, 91, 242, 447, 665, 841, 923, 887, 744, 536, 320, 144, 35, 0, 0, 6, 20, 24, 22, 20, 24, 33, 45, 53, 55, 50, 41, 29, 18, 9, 4, 3, 7, 15, 26, 36, 42, 41, 33, 20, 9, 4, 8, 17, 22, 16, 0, 0, 1, 74, 220, 428, 661, 859, 968, 954, 823, 614, 384, 188, 58, 0, 0, 1, 17, 25, 25, 25, 29, 38, 48, 54, 54, 47, 37, 26, 17, 11, 9, 11, 14, 19, 23, 26, 26, 23, 18, 11, 6, 4, 5, 9, 15, 22, 29, 35, 38, 37, 32, 25, 17, 14, 15, 20, 23, 17, 2, 0, 0, 46, 155, 319, 509, 682, 789, 800, 710, 547, 356, 185, 64, 3, 0, 0, 14, 24, 28, 29, 31, 35, 38, 35, 27, 15, 5, 0, 1, 6, 10, 7, 0, 0, 7, 54, 143, 269, 408, 529, 599, 598, 525, 402, 262, 137, 49, 4, 0, 0, 9, 14, 16, 19, 24, 26, 20, 5, 0, 0, 51, 175, 364, 586, 788, 915, 928, 823, 633, 411, 211, 71, 0, 0, 0, 19, 31, 33, 31, 29, 28, 29, 27, 21, 14, 6, 0, 0, 0, 2, 5, 7, 8, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 2, 6, 9, 10, 8, 3, 0, 0, 5, 12, 16, 11, 0, 0, 4, 65, 181, 343, 519, 665, 740, 723, 619, 460, 287, 141, 43, 0, 0, 3, 17, 24, 25, 22, 18, 17, 16, 15, 13, 10, 8, 5, 4, 4, 4, 6, 8, 12, 15, 19, 20, 20, 18, 16, 14, 13, 13, 14, 14, 14, 11, 8, 4, 1, 0, 0, 1, 6, 11, 17, 21, 22, 20, 15, 9, 4, 1, 0, 1, 3, 6, 7, 6, 4, 1, 0, 1, 5, 10, 14, 14, 12, 9, 9, 16, 27, 33, 26, 5, 0, 0, 63, 220, 458, 736, 988, 1143, 1155, 1021, 781, 503, 256, 84, 0, 0, 1, 27, 44, 47, 44, 39, 37, 36, 34, 29, 22, 16, 12, 11, 11, 12, 12, 11, 10, 10, 10, 10, 10, 10, 12, 16, 21, 23, 18, 5, 0, 0, 30, 116, 250, 411, 560, 657, 672, 601, 466, 305, 158, 55, 2, 0, 0, 12, 20, 20, 18, 16, 19, 24, 29, 31, 30, 27, 25, 23, 23, 25, 27, 28, 26, 23, 17, 12, 6, 3, 0, 0, 0, 0, 1, 4, 8, 12, 17, 19, 19, 17, 12, 7, 3, 2, 4, 7, 10, 13, 14, 13, 10, 7, 3, 1, 0, 0, 2, 6, 10, 13, 15, 16, 15, 13, 11, 10, 10, 11, 12, 14, 15, 15, 15, 14, 13, 13, 14, 15, 17, 18, 17, 15, 11, 8, 6, 5, 5, 6, 6, 7, 10, 14, 18, 18, 11, 0, 0, 3, 50, 139, 263, 397, 508, 559, 533, 433, 288, 145, 52, 43, 124, 277, 455, 607, 689, 678, 583, 433, 270, 133, 42, 0, 0, 4, 17, 26, 31, 35, 36, 29, 12, 0, 0, 33, 153, 353, 607, 862, 1051, 1120, 1048, 858, 604, 352, 154, 35, 0, 0, 10, 27, 35, 37, 39, 44, 52, 57, 56, 49, 38, 26, 18, 15, 15, 17, 18, 17, 15, 11, 8, 5, 3, 3, 4, 6, 7, 7, 7, 5, 3, 1, 0, 0, 0, 0, 0, 2, 6, 11, 18, 24, 27, 27, 24, 18, 10, 4, 0, 0, 0, 1, 3, 3, 3, 2, 1, 0, 0, 0, 0, 1, 2, 3, 4, 4, 3, 2, 1, 0, 0, 0, 0, 1, 5, 11, 17, 23, 26, 25, 22, 16, 10, 5, 3, 3, 6, 10, 13, 15, 15, 12, 9, 5, 2, 0, 0, 0, 1, 2, 3, 4, 4, 4, 5, 6, 7, 10, 13, 16, 17, 17, 14, 10, 6, 3, 1, 0, 0, 0, 1, 3, 6, 10, 15, 19, 22, 25, 26, 26, 25, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 15, 16, 18, 20, 22, 22, 20, 16, 11, 6, 2, 0, 0, 0, 1, 2, 3, 4, 3, 3, 2, 2, 3, 3, 2, 0, 0, 0, 0, 7, 17, 23, 22, 10, 0, 0, 23, 103, 234, 400, 563, 681, 722, 673, 549, 384, 221, 94, 17, 0, 0, 18, 38, 51, 54, 50, 43, 33, 24, 14, 6, 0, 0, 0, 5, 13, 19, 15, 3, 0, 0, 37, 130, 272, 439, 592, 690, 705, 633, 495, 330, 178, 67, 7, 0, 0, 15, 30, 39, 43, 45, 45, 41, 35, 25, 14, 5, 0, 1, 5, 12, 18, 21, 20, 17, 12, 7, 3, 2, 3, 7, 14, 24, 36, 47, 52, 47, 29, 4, 0, 1, 67, 195, 375, 572, 740, 832, 822, 713, 536, 339, 168, 52, 0, 0, 4, 22, 32, 32, 25, 17, 11, 7, 5, 3, 2, 2, 5, 11, 19, 29, 37, 41, 41, 36, 28, 19, 11, 6, 4, 4, 5, 6, 5, 4, 2, 0, 0, 0, 0, 2, 4, 6, 8, 9, 8, 5, 1, 0, 0, 3, 9, 16, 20, 20, 19, 19, 23, 30, 34, 26, 6, 0, 0, 56, 207, 438, 714, 969, 1133, 1158, 1037, 806, 530, 277, 95, 0, 0, 0, 33, 55, 56, 36, 9, 0, 0, 50, 158, 313, 488, 644, 736, 733, 630, 451, 247, 81, 8, 58, 224, 465, 714, 903, 982, 933, 776, 557, 334, 154, 40, 0, 0, 15, 43, 64, 77, 81, 79, 72, 58, 42, 26, 13, 7, 7, 12, 20, 30, 39, 44, 41, 27, 5, 0, 0, 52, 169, 341, 537, 710, 813, 815, 715, 544, 348, 176, 56, 0, 0, 3, 23, 35, 36, 30, 21, 13, 8, 6, 5, 7, 9, 12, 14, 14, 12, 9, 6, 4, 4, 5, 6, 7, 7, 7, 8, 12, 16, 18, 14, 2, 0, 0, 34, 116, 242, 390, 528, 619, 637, 576, 455, 306, 168, 65, 9, 0, 0, 9, 17, 19, 16, 13, 11, 11, 10, 9, 6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 7, 9, 9, 8, 7, 9, 15, 21, 22, 13, 0, 0, 5, 73, 201, 379, 573, 736, 822, 807, 695, 519, 326, 161, 51, 0, 0, 0, 14, 21, 20, 13, 3, 0, 0, 12, 55, 129, 228, 334, 420, 460, 435, 348, 221, 95, 15, 17, 118, 301, 527, 737, 873, 898, 801, 609, 372, 154, 12, 0, 77, 266, 501, 720, 866, 904, 829, 665, 460, 262, 111, 22, 0, 0, 19, 44, 62, 73, 77, 76, 69, 56, 41, 24, 11, 3, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 4, 7, 9, 10, 10, 10, 8, 7, 6, 6, 6, 7, 9, 11, 13, 15, 16, 17, 18, 16, 14, 12, 9, 8, 9, 12, 17, 23, 27, 29, 27, 23, 17, 10, 4, 1, 0, 1, 3, 5, 6, 6, 6, 4, 3, 1, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 0, 0, 0, 0, 4, 8, 10, 6, 0, 0, 5, 45, 120, 225, 342, 444, 505, 507, 452, 354, 239, 133, 55, 11, 0, 0, 7, 14, 17, 16, 14, 12, 11, 10, 8, 5, 1, 0, 0, 2, 8, 16, 20, 18, 8, 0, 0, 15, 68, 153, 259, 363, 437, 462, 430, 350, 245, 142, 61, 14, 0, 0, 8, 19, 29, 36, 40, 37, 23, 1, 0, 2, 81, 240, 473, 745, 995, 1158, 1190, 1080, 859, 587, 329, 135, 23, 0, 0, 18, 40, 51, 54, 53, 51, 49, 44, 35, 24, 13, 5, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 4, 7, 8, 8, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 1, 5, 10, 15, 21, 24, 25, 22, 16, 8, 1, 0, 2, 12, 26, 43, 56, 62, 59, 48, 33, 17, 4, 0, 0, 5, 13, 20, 25, 25, 21, 16, 9, 4, 0, 0, 0, 2, 3, 4, 5, 5, 5, 6, 5, 4, 0, 0, 0, 6, 24, 50, 81, 108, 122, 121, 103, 75, 45, 20, 4, 0, 0, 2, 5, 7, 7, 7, 6, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 1, 3, 4, 5, 5, 4, 3, 1, 0, 0, 0, 1, 3, 5, 5, 5, 4, 2, 1, 0, 0, 0, 1, 3, 5, 7, 8, 8, 6, 3, 1, 1, 3, 7, 11, 12, 10, 8, 7, 11, 18, 23, 19, 5, 0, 0, 52, 176, 366, 597, 818, 969, 1004, 909, 709, 460, 237, 107, 107, 235, 449, 681, 858, 924, 858, 679, 441, 218, 76, 61, 178, 395, 648, 865, 983, 969, 828, 601, 354, 159, 73, 120, 288, 527, 770, 949, 1018, 961, 799, 578, 354, 170, 50, 0, 0, 7, 28, 38, 33, 15, 0, 0, 14, 85, 206, 365, 532, 666, 730, 703, 588, 414, 230, 86, 23, 60, 187, 367, 550, 686, 739, 697, 577, 413, 248, 115, 32, 0, 0, 4, 14, 16, 11, 5, 1, 0, 1, 2, 3, 3, 3, 4, 5, 6, 5, 4, 2, 1, 1, 2, 3, 3, 1, 0, 0, 2, 9, 16, 17, 8, 0, 0, 17, 94, 228, 405, 591, 739, 809, 781, 663, 489, 305, 150, 47, 0, 0, 0, 11, 19, 20, 13, 2, 0, 0, 19, 84, 191, 327, 465, 569, 606, 562, 444, 287, 136, 36, 21, 97, 245, 426, 590, 692, 703, 618, 460, 271, 101, 0, 0, 98, 283, 503, 703, 832, 857, 776, 617, 422, 239, 102, 23, 0, 0, 11, 22, 27, 28, 29, 28, 20, 5, 0, 0, 46, 159, 338, 557, 771, 925, 977, 912, 748, 530, 313, 139, 32, 0, 0, 13, 34, 41, 34, 15, 0, 0, 11, 74, 179, 315, 458, 573, 630, 615, 530, 400, 257, 132, 46, 2, 0, 0, 10, 15, 14, 9, 4, 3, 4, 6, 7, 8, 8, 9, 10, 12, 13, 12, 10, 6, 3, 0, 0, 1, 3, 6, 8, 9, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 4, 3, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 0, 0, 0, 0, 7, 12, 11, 3, 0, 0, 32, 112, 238, 391, 537, 638, 661, 597, 462, 295, 145, 59, 62, 150, 298, 458, 583, 637, 607, 506, 364, 219, 102, 29, 0, 0, 4, 12, 13, 8, 2, 0, 0, 3, 6, 7, 6, 3, 2, 3, 6, 10, 13, 14, 13, 9, 5, 3, 3, 5, 7, 8, 8, 8, 12, 18, 22, 19, 6, 0, 0, 33, 134, 301, 513, 728, 892, 960, 913, 764, 556, 340, 163, 49, 0, 0, 3, 18, 27, 30, 30, 25, 15, 0, 0, 2, 65, 194, 387, 615, 828, 972, 1007, 922, 742, 514, 295, 127, 28, 0, 0, 8, 20, 21, 16, 10, 8, 9, 11, 13, 12, 10, 8, 6, 5, 5, 4, 3, 2, 2, 2, 2, 0, 0, 0, 0, 4, 9, 11, 6, 0, 0, 15, 74, 176, 312, 455, 570, 624, 601, 505, 362, 210, 89, 30, 41, 116, 226, 338, 417, 440, 397, 300, 177, 65, 4, 22, 128, 307, 521, 719, 852, 886, 815, 660, 464, 273, 124, 33, 0, 0, 5, 15, 17, 13, 7, 4, 4, 5, 6, 5, 3, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 3, 1, 0, 0, 0, 3, 5, 5, 3, 0, 0, 0, 6, 13, 16, 10, 0, 0, 11, 77, 198, 367, 551, 708, 793, 779, 666, 485, 287, 129, 56, 88, 214, 394, 576, 707, 753, 703, 577, 410, 245, 114, 32, 0, 0, 5, 16, 20, 17, 13, 9, 7, 6, 5, 4, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 4, 5, 6, 5, 4, 2, 0, 0, 0, 1, 3, 5, 6, 6, 5, 3, 1, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 3, 3, 3, 3, 1, 0, 0, 0, 2, 8, 11, 7, 0, 0, 3, 50, 141, 272, 420, 551, 632, 641, 575, 455, 311, 177, 76, 16, 0, 0, 4, 14, 17, 11, 0, 0, 0, 30, 107, 225, 372, 516, 623, 666, 631, 529, 387, 240, 118, 38, 0, 0, 0, 11, 19, 22, 19, 11, 0, 0, 0, 37, 116, 235, 378, 514, 610, 640, 594, 485, 343, 203, 92, 23, 0, 0, 6, 17, 21, 19, 14, 10, 6, 4, 3, 2, 1, 1, 2, 4, 5, 6, 6, 5, 3, 2, 0, 0, 0, 0, 0, 0, 2, 3, 4, 4, 3, 2, 1, 2, 4, 7, 10, 11, 11, 13, 16, 20, 22, 16, 3, 0, 0, 40, 140, 298, 494, 687, 831, 888, 841, 705, 515, 319, 158, 51, 1, 0, 1, 15, 25, 30, 30, 25, 13, 0, 0, 9, 84, 227, 432, 667, 881, 1020, 1048, 956, 771, 539, 316, 143, 37, 0, 0, 8, 22, 28, 26, 21, 16, 13, 12, 11, 11, 10, 9, 9, 8, 7, 5, 3, 1, 0, 0, 0, 0, 1, 2, 4, 6, 6, 5, 5, 5, 6, 10, 14, 18, 20, 20, 20, 20, 21, 19, 12, 1, 0, 0, 39, 126, 261, 428, 596, 726, 786, 760, 654, 496, 324, 173, 65, 8, 0, 0, 11, 19, 17, 6, 0, 0, 15, 73, 170, 296, 428, 538, 599, 594, 525, 411, 279, 158, 67, 15, 0, 0, 6, 14, 17, 16, 13, 10, 9, 10, 12, 15, 17, 19, 20, 20, 17, 14, 10, 6, 4, 4, 6, 8, 11, 12, 11, 8, 7, 7, 11, 15, 16, 9, 0, 0, 12, 76, 194, 360, 546, 712, 817, 833, 756, 606, 422, 246, 110, 27, 0, 0, 10, 23, 28, 25, 19, 12, 8, 8, 9, 12, 14, 16, 16, 15, 13, 10, 6, 3, 1, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 6, 5, 4, 2, 0, 0, 0, 0, 6, 10, 10, 3, 0, 0, 27, 103, 225, 380, 537, 658, 712, 685, 583, 436, 278, 144, 52, 5, 0, 0, 7, 11, 8, 3, 0, 0, 0, 0, 2, 2, 3, 3, 5, 6, 7, 6, 5, 3, 1, 0, 0, 0, 0, 1, 2, 4, 5, 5, 5, 3, 2, 0, 0, 1, 3, 6, 9, 12, 13, 13, 11, 8, 5, 3, 1, 0, 0, 0, 0, 1, 3, 4, 5, 4, 2, 0, 0, 0, 3, 7, 12, 15, 17, 16, 14, 11, 8, 5, 4, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 4, 5, 6, 5, 3, 1, 0, 0, 1, 4, 10, 15, 20, 24, 24, 22, 17, 12, 7, 2, 0, 0, 0, 2, 3, 4, 4, 3, 2, 1, 2, 2, 3, 2, 0, 0, 0, 0, 5, 9, 8, 2, 0, 0, 24, 88, 190, 319, 452, 556, 607, 589, 510, 389, 256, 139, 56, 11, 0, 0, 4, 7, 5, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 4, 4, 4, 3, 3, 2, 1, 0, 0, 0, 0, 4, 7, 7, 2, 0, 0, 23, 80, 171, 283, 395, 480, 513, 485, 403, 288, 175, 94, 69, 105, 193, 306, 411, 475, 480, 423, 318, 198, 101, 60, 95, 207, 373, 556, 711, 801, 804, 721, 574, 400, 236, 109, 31, 0, 0, 3, 11, 12, 8, 3, 0, 1, 3, 5, 4, 2, 0, 0, 3, 8, 11, 9, 0, 0, 1, 41, 124, 251, 403, 551, 661, 703, 667, 562, 416, 263, 135, 48, 3, 0, 0, 5, 11, 11, 7, 0, 0, 0, 15, 64, 145, 252, 365, 460, 511, 505, 444, 343, 229, 126, 51, 10, 0, 0, 4, 7, 6, 3, 0, 0, 0, 0, 1, 1, 2, 2, 3, 5, 6, 6, 4, 2, 0, 0, 0, 2, 5, 6, 6, 5, 3, 4, 8, 12, 13, 7, 0, 0, 11, 71, 185, 349, 540, 718, 842, 881, 825, 689, 506, 319, 162, 57, 4, 0, 0, 13, 20, 19, 14, 7, 3, 1, 2, 4, 6, 8, 9, 9, 9, 8, 6, 5, 4, 4, 3, 2, 0, 0, 0, 0, 3, 7, 7, 2, 0, 0, 24, 82, 175, 293, 414, 507, 549, 527, 444, 325, 204, 114, 84, 121, 215, 339, 457, 533, 545, 489, 378, 245, 132, 75, 100, 209, 381, 577, 748, 853, 864, 782, 629, 443, 265, 125, 37, 0, 0, 5, 18, 25, 22, 12, 0, 0, 3, 43, 117, 224, 350, 469, 554, 581, 541, 441, 306, 175, 85, 65, 126, 259, 431, 602, 727, 778, 742, 632, 475, 309, 166, 66, 13, 0, 0, 6, 10, 8, 3, 0, 0, 0, 2, 5, 7, 9, 10, 11, 12, 11, 9, 6, 3, 1, 2, 5, 10, 14, 16, 15, 11, 8, 8, 12, 15, 13, 4, 0, 0, 32, 122, 274, 474, 688, 869, 975, 979, 879, 703, 493, 293, 136, 39, 0, 0, 4, 18, 22, 14, 0, 0, 0, 38, 118, 237, 380, 519, 626, 673, 651, 565, 436, 294, 166, 71, 17, 0, 0, 12, 23, 28, 25, 17, 10, 4, 3, 4, 7, 11, 12, 12, 9, 5, 1, 0, 0, 3, 8, 12, 14, 13, 10, 7, 5, 5, 6, 5, 1, 0, 0, 19, 67, 147, 251, 360, 451, 501, 497, 439, 344, 233, 132, 57, 13, 0, 0, 4, 9, 10, 8, 5, 3, 3, 3, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 3, 5, 5, 5, 4, 4, 6, 8, 9, 5, 0, 0, 8, 48, 125, 239, 376, 508, 607, 645, 612, 516, 384, 254, 164, 144, 202, 325, 483, 633, 736, 765, 712, 592, 435, 275, 142, 52, 7, 0, 0, 7, 11, 9, 5, 3, 4, 6, 7, 6, 3, 1, 0, 2, 5, 6, 3, 0, 0, 15, 60, 138, 243, 357, 457, 517, 521, 467, 367, 250, 148, 89, 91, 155, 265, 393, 506, 575, 584, 533, 434, 313, 195, 100, 37, 5, 0, 0, 5, 8, 6, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 3, 3, 2, 2, 1, 0, 0, 0, 3, 8, 12, 12, 6, 0, 0, 13, 67, 164, 298, 450, 589, 687, 719, 680, 581, 444, 298, 170, 76, 20, 0, 0, 9, 19, 24, 22, 17, 12, 8, 5, 5, 4, 4, 5, 6, 8, 7, 3, 0, 0, 10, 53, 129, 237, 361, 477, 560, 589, 557, 474, 358, 236, 130, 55, 13, 0, 0, 5, 13, 18, 21, 18, 10, 0, 0, 10, 77, 208, 406, 649, 896, 1097, 1205, 1195, 1069, 857, 606, 366, 176, 55, 0, 0, 7, 24, 31, 23, 9, 0, 2, 34, 99, 197, 316, 438, 538, 594, 591, 528, 418, 292, 183, 126, 140, 228, 369, 528, 664, 742, 742, 666, 533, 375, 225, 108, 34, 1, 0, 3, 13, 18, 18, 15, 12, 10, 11, 12, 15, 17, 18, 18, 17, 14, 11, 8, 5, 4, 5, 6, 7, 8, 7, 7, 8, 10, 11, 8, 1, 0, 0, 26, 89, 188, 315, 447, 556, 617, 615, 552, 443, 314, 191, 93, 31, 1, 0, 4, 14, 17, 13, 3, 0, 0, 26, 88, 186, 310, 442, 557, 630, 644, 597, 499, 372, 243, 133, 56, 15, 5, 12, 25, 33, 31, 19, 3, 0, 0, 39, 115, 224, 350, 471, 562, 602, 584, 513, 406, 286, 174, 88, 33, 5, 0, 0, 4, 5, 5, 3, 3, 5, 9, 13, 16, 17, 16, 15, 15, 13, 10, 3, 0, 0, 17, 66, 150, 265, 393, 512, 596, 625, 595, 511, 393, 267, 154, 70, 20, 0, 0, 1, 5, 6, 4, 2, 0, 0, 1, 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, 4, 6, 8, 9, 10, 10, 8, 6, 4, 3, 3, 6, 8, 11, 12, 12, 12, 15, 17, 16, 10, 0, 0, 4, 56, 162, 322, 519, 719, 881, 969, 963, 866, 702, 507, 319, 166, 64, 11, 0, 1, 14, 24, 29, 28, 25, 22, 19, 16, 13, 11, 10, 10, 10, 9, 5, 0, 0, 4, 38, 106, 208, 336, 467, 576, 640, 645, 591, 490, 365, 239, 133, 58, 15, 0, 0, 3, 7, 8, 7, 6, 6, 6, 8, 8, 7, 5, 3, 1, 0, 0, 0, 1, 2, 3, 4, 4, 4, 4, 6, 8, 11, 10, 5, 0, 0, 9, 50, 124, 229, 353, 473, 567, 614, 606, 545, 445, 329, 215, 120, 54, 15, 0, 0, 5, 11, 15, 16, 15, 13, 10, 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, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 5, 7, 8, 8, 7, 4, 1, 0, 0, 1, 3, 5, 7, 7, 6, 4, 2, 0, 0, 1, 2, 3, 4, 5, 5, 4, 4, 4, 5, 6, 6, 6, 5, 4, 3, 2, 3, 5, 8, 8, 5, 0, 0, 7, 38, 98, 187, 297, 409, 501, 551, 546, 490, 398, 300, 226, 205, 250, 354, 495, 637, 740, 777, 737, 632, 492, 357, 267, 248, 304, 420, 563, 694, 777, 792, 735, 618, 468, 313, 179, 81, 23, 0, 1, 11, 23, 29, 30, 26, 22, 18, 16, 16, 16, 15, 14, 12, 10, 9, 8, 8, 8, 9, 11, 13, 14, 15, 14, 13, 13, 12, 11, 7, 1, 0, 2, 32, 97, 203, 345, 503, 648, 749, 781, 737, 629, 486, 349, 254, 227, 275, 382, 519, 646, 731, 753, 705, 601, 462, 317, 189, 92, 33, 6, 2, 9, 18, 23, 24, 22, 19, 18, 19, 21, 23, 24, 25, 24, 22, 17, 9, 1, 0, 8, 46, 120, 232, 375, 527, 663, 756, 786, 747, 647, 508, 357, 219, 111, 42, 7, 0, 5, 14, 21, 24, 23, 20, 17, 15, 14, 15, 17, 19, 20, 18, 11, 2, 0, 2, 30, 90, 184, 305, 437, 555, 637, 665, 634, 552, 435, 307, 189, 97, 37, 7, 0, 0, 2, 2, 0, 0, 6, 31, 79, 148, 233, 320, 395, 441, 450, 420, 357, 277, 192, 118, 62, 26, 7, 0, 0, 0, 0, 0, 0, 1, 2, 5, 7, 9, 10, 10, 11, 12, 12, 13, 13, 12, 11, 9, 7, 5, 3, 2, 2, 3, 4, 5, 6, 6, 5, 4, 2, 2, 2, 3, 5, 7, 8, 8, 7, 4, 2, 0, 0, 0, 2, 3, 5, 6, 7, 7, 7, 8, 8, 9, 11, 13, 14, 15, 15, 14, 13, 11, 9, 7, 3, 0, 0, 5, 30, 78, 150, 242, 341, 429, 490, 511, 487, 425, 336, 239, 150, 81, 34, 10, 2, 5, 12, 17, 16, 8, 0, 0, 15, 81, 206, 390, 614, 846, 1041, 1161, 1180, 1095, 925, 705, 478, 278, 131, 41, 1, 0, 4, 17, 25, 29, 29, 29, 28, 28, 28, 27, 25, 24, 22, 21, 19, 17, 15, 11, 8, 5, 3, 2, 3, 5, 7, 9, 10, 9, 8, 5, 3, 1, 0, 0, 0, 0, 0, 1, 2, 3, 4, 6, 8, 9, 9, 8, 7, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 9, 12, 13, 14, 12, 10, 7, 4, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 6, 8, 10, 13, 15, 14, 11, 5, 0, 1, 16, 55, 121, 214, 322, 429, 515, 560, 555, 502, 416, 319, 241, 205, 221, 288, 387, 492, 574, 612, 595, 527, 423, 305, 194, 105, 45, 12, 0, 0, 6, 12, 16, 17, 17, 14, 11, 8, 5, 3, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 5, 7, 8, 9, 10, 10, 11, 13, 14, 15, 16, 15, 14, 12, 10, 8, 7, 7, 8, 8, 8, 8, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 8, 9, 10, 9, 8, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 3, 3, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 1, 3, 4, 4, 4, 3, 2, 0, 0, 0, 0, 0, 2, 3, 5, 5, 5, 5, 4, 3, 3, 4, 6, 8, 10, 10, 6, 1, 0, 1, 22, 67, 139, 236, 348, 459, 549, 603, 609, 566, 484, 377, 265, 164, 86, 35, 9, 0, 0, 0, 0, 3, 17, 49, 104, 181, 273, 366, 446, 498, 513, 489, 431, 349, 257, 170, 97, 45, 14, 0, 0, 4, 10, 14, 15, 13, 11, 9, 7, 6, 5, 4, 4, 4, 4, 5, 6, 7, 7, 7, 7, 8, 9, 12, 14, 15, 14, 10, 4, 0, 0, 12, 44, 100, 180, 279, 383, 477, 543, 569, 548, 484, 391, 285, 185, 102, 45, 13, 1, 2, 7, 12, 15, 16, 15, 14, 13, 13, 13, 13, 12, 12, 11, 10, 9, 9, 10, 12, 14, 16, 17, 16, 14, 11, 8, 6, 4, 4, 5, 6, 8, 8, 8, 8, 8, 8, 9, 10, 12, 13, 13, 14, 14, 13, 13, 12, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 6, 7, 8, 8, 8, 6, 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, 2, 2, 2, 2, 2, 2, 2, 4, 6, 8, 11, 12, 12, 11, 9, 7, 5, 4, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 15, 17, 18, 17, 15, 11, 7, 5, 10, 27, 58, 105, 166, 235, 302, 357, 390, 396, 374, 328, 266, 198, 134, 81, 42, 19, 9, 7, 11, 16, 20, 22, 22, 21, 19, 17, 16, 16, 17, 18, 17, 14, 10, 5, 5, 16, 43, 90, 155, 233, 313, 383, 430, 446, 428, 384, 324, 267, 227, 219, 244, 299, 370, 438, 485, 498, 473, 413, 331, 242, 161, 98, 57, 37, 31, 33, 35, 33, 26, 18, 14, 24, 57, 120, 215, 338, 473, 602, 703, 756, 753, 696, 600, 489, 389, 325, 308, 340, 407, 488, 558, 598, 593, 544, 460, 356, 252, 161, 94, 53, 32, 25, 23, 21, 18, 20, 34, 68, 128, 213, 314, 417, 505, 561, 575, 546, 479, 388, 289, 196, 121, 68, 36, 21, 17, 18, 20, 22, 23, 22, 20, 18, 15, 12, 9, 7, 5, 2, 0, 0, 1, 12, 36, 77, 135, 206, 281, 349, 398, 421, 412, 373, 313, 241, 168, 104, 55, 22, 5, 0, 1, 6, 10, 13, 13, 11, 9, 6, 5, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 4, 5, 6, 6, 6, 6, 5, 4, 3, 1, 0, 0, 0, 0, 0, 1, 1, 2, 3, 5, 6, 8, 10, 11, 11, 9, 7, 7, 12, 29, 63, 117, 190, 278, 368, 448, 503, 523, 503, 448, 366, 272, 181, 106, 51, 18, 3, 0, 0, 1, 2, 2, 2, 3, 5, 8, 11, 14, 17, 19, 21, 22, 23, 22, 21, 19, 17, 15, 15, 15, 16, 17, 17, 16, 16, 15, 14, 14, 14, 14, 15, 15, 14, 14, 13, 12, 11, 10, 10, 11, 12, 14, 16, 18, 20, 22, 23, 24, 24, 24, 23, 22, 22, 21, 22, 23, 24, 25, 26, 26, 25, 21, 15, 9, 8, 19, 51, 112, 206, 327, 466, 602, 714, 783, 796, 755, 671, 568, 471, 405, 386, 415, 481, 564, 638, 679, 674, 619, 525, 408, 290, 186, 108, 58, 32, 23, 22, 24, 26, 27, 26, 25, 24, 22, 20, 18, 15, 14, 13, 14, 15, 16, 16, 16, 15, 14, 14, 15, 16, 17, 18, 17, 15, 13, 10, 9, 8, 8, 9, 9, 9, 8, 6, 4, 3, 3, 3, 5, 7, 9, 11, 13, 15, 16, 16, 13, 10, 9, 15, 34, 70, 125, 197, 277, 355, 416, 452, 455, 427, 377, 321, 275, 255, 270, 319, 394, 478, 553, 600, 610, 579, 512, 421, 320, 223, 141, 79, 40, 19, 12, 13, 17, 20, 21, 21, 19, 18, 18, 19, 20, 21, 22, 22, 21, 19, 18, 16, 14, 13, 11, 10, 9, 8, 7, 5, 4, 3, 3, 3, 4, 5, 7, 9, 11, 13, 14, 14, 13, 12, 10, 9, 9, 9, 11, 13, 15, 16, 16, 15, 12, 8, 5, 6, 15, 35, 72, 127, 199, 282, 367, 441, 493, 513, 497, 448, 375, 291, 207, 135, 80, 44, 25, 17, 15, 16, 15, 14, 11, 9, 7, 7, 8, 9, 10, 10, 10, 9, 7, 6, 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, 1, 1, 2, 3, 3, 4, 3, 1, 0, 0, 4, 20, 52, 101, 166, 240, 314, 376, 417, 429, 412, 369, 307, 236, 166, 105, 58, 26, 8, 0, 0, 0, 1, 2, 2, 2, 2, 4, 7, 10, 14, 18, 22, 23, 23, 21, 18, 14, 11, 10, 11, 13, 16, 19, 20, 21, 20, 19, 17, 15, 13, 11, 9, 8, 8, 9, 11, 12, 13, 13, 12, 11, 10, 9, 10, 12, 14, 15, 14, 12, 8, 5, 7, 18, 41, 81, 138, 209, 288, 367, 434, 479, 495, 479, 434, 367, 289, 211, 142, 88, 52, 31, 22, 21, 23, 25, 25, 24, 22, 20, 20, 21, 24, 27, 28, 27, 23, 18, 16, 24, 48, 97, 174, 277, 400, 530, 648, 737, 783, 778, 723, 629, 510, 384, 268, 173, 103, 59, 37, 29, 30, 32, 34, 34, 31, 28, 24, 22, 20, 19, 18, 16, 15, 13, 11, 10, 10, 11, 13, 15, 17, 18, 19, 18, 17, 17, 16, 16, 17, 18, 19, 20, 20, 19, 19, 19, 19, 20, 19, 18, 16, 13, 10, 8, 7, 7, 9, 11, 13, 14, 13, 11, 8, 6, 5, 4, 5, 7, 9, 11, 12, 12, 11, 11, 10, 9, 9, 10, 11, 11, 11, 11, 9, 8, 6, 6, 7, 9, 11, 13, 14, 14, 13, 13, 14, 15, 16, 17, 16, 15, 13, 11, 9, 9, 8, 8, 8, 8, 8, 12, 21, 37, 64, 103, 154, 213, 275, 330, 370, 389, 384, 361, 329, 299, 284, 289, 316, 359, 409, 453, 482, 489, 473, 438, 394, 354, 333, 339, 378, 443, 522, 595, 645, 656, 626, 560, 475, 393, 333, 310, 326, 373, 436, 496, 536, 547, 523, 471, 398, 317, 238, 168, 111, 69, 41, 25, 18, 16, 18, 21, 23, 25, 25, 24, 23, 21, 20, 18, 16, 15, 14, 18, 29, 51, 88, 139, 203, 272, 338, 391, 421, 424, 400, 352, 290, 223, 160, 106, 64, 35, 16, 6, 1, 1, 2, 4, 5, 6, 6, 6, 5, 4, 3, 3, 3, 4, 10, 22, 44, 79, 127, 187, 251, 312, 360, 388, 391, 369, 327, 270, 208, 148, 95, 54, 26, 9, 1, 0, 0, 1, 2, 2, 2, 2, 2, 4, 8, 11, 15, 17, 17, 16, 16, 20, 32, 57, 98, 155, 223, 296, 362, 412, 437, 433, 402, 350, 285, 217, 153, 100, 60, 33, 16, 8, 6, 6, 7, 8, 8, 8, 7, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 6, 8, 9, 9, 8, 6, 4, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 3, 3, 4, 3, 2, 2, 2, 3, 3, 4, 3, 3, 2, 1, 2, 4, 6, 8, 8, 7, 5, 4, 3, 4, 5, 7, 7, 6, 4, 2, 2, 5, 15, 34, 64, 106, 162, 227, 296, 362, 414, 446, 452, 434, 398, 356, 320, 300, 303, 327, 367, 411, 446, 463, 454, 418, 362, 293, 222, 158, 107, 72, 50, 38, 31, 27, 24, 21, 19, 18, 18, 19, 18, 17, 14, 10, 6, 3, 2, 1, 2, 3, 4, 4, 4, 3, 3, 2, 1, 0, 0, 0, 0, 2, 3, 4, 5, 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, 4, 4, 4, 5, 7, 9, 12, 13, 13, 12, 9, 6, 3, 1, 0, 0, 0, 0, 4, 13, 28, 50, 82, 122, 171, 225, 277, 320, 348, 356, 345, 319, 286, 256, 239, 239, 255, 282, 311, 333, 341, 333, 307, 267, 219, 170, 123, 84, 53, 31, 17, 9, 6, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 16, 16, 14, 13, 12, 13, 14, 16, 17, 18, 17, 15, 13, 12, 11, 14, 22, 38, 67, 112, 175, 255, 345, 436, 515, 571, 595, 586, 549, 492, 428, 372, 331, 312, 313, 330, 353, 373, 381, 373, 345, 302, 249, 192, 139, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 94, 60, 37, 23, 17, 14, 14, 15, 16, 17, 17, 18, 19, 19, 19, 19, 18, 18, 18, 18, 18, 16, 14, 11, 7, 4, 2, 1, 0, 0, 0, 1, 1, 2, 4, 6, 8, 11, 12, 13, 14, 15, 15, 17, 22, 34, 58, 98, 159, 240, 337, 441, 541, 622, 674, 688, 664, 605, 520, 421, 319, 227, 150, 93, 55, 34, 24, 21, 19, 18, 16, 14, 12, 12, 13, 14, 15, 15, 14, 13, 11, 8, 7, 5, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 5, 6, 5, 5, 4, 3, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 5, 6, 6, 5, 3, 2, 0, 0, 1, 3, 5, 6, 6, 5, 4, 2, 2, 3, 4, 7, 8, 9, 9, 9, 10, 13, 22, 38, 64, 100, 147, 200, 254, 305, 345, 369, 375, 362, 333, 292, 242, 190, 139, 93, 56, 29, 12, 3, 0, 1, 3, 4, 5, 6, 7, 9, 10, 12, 12, 12, 12, 11, 11, 11, 11, 10, 9, 8, 8, 7, 7, 7, 7, 6, 5, 4, 3, 2, 2, 2, 2, 3, 3, 4, 3, 3, 3, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 5, 7, 8, 8, 7, 6, 4, 3, 2, 2, 3, 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, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 9, 9, 9, 8, 7, 6, 7, 7, 7, 6, 4, 2, 0, 1, 5, 15, 30, 52, 80, 115, 156, 202, 247, 288, 318, 331, 326, 302, 262, 214, 164, 117, 77, 47, 26, 13, 6, 4, 5, 7, 10, 12, 14, 14, 14, 14, 14, 14, 14, 16, 17, 19, 20, 21, 21, 20, 19, 19, 19, 20, 21, 23, 27, 32, 42, 59, 86, 125, 177, 241, 313, 388, 458, 517, 557, 574, 568, 542, 503, 461, 425, 403, 398, 408, 426, 442, 450, 441, 415, 371, 317, 258, 200, 150, 109, 79, 59, 46, 37, 32, 27, 25, 23, 24, 26, 29, 31, 32, 31, 27, 23, 21, 24, 38, 65, 108, 166, 237, 317, 399, 475, 538, 581, 600, 592, 557, 499, 425, 344, 263, 191, 132, 89, 62, 46, 38, 35, 34, 32, 29, 25, 21, 17, 14, 13, 13, 13, 13, 12, 11, 10, 10, 10, 10, 10, 10, 8, 7, 6, 6, 7, 7, 8, 9, 9, 8, 8, 8, 8, 8, 9, 9, 8, 8, 7, 6, 5, 5, 5, 6, 8, 9, 10, 10, 9, 8, 7, 7, 8, 10, 12, 14, 15, 17, 18, 18, 18, 19, 23, 34, 55, 91, 144, 213, 296, 385, 472, 546, 598, 621, 613, 574, 510, 430, 344, 261, 189, 132, 90, 62, 44, 32, 24, 19, 16, 14, 13, 13, 13, 12, 10, 8, 7, 11, 22, 42, 71, 111, 158, 211, 266, 317, 360, 388, 397, 386, 356, 310, 255, 199, 146, 101, 66, 40, 22, 11, 4, 1, 0, 0, 1, 2, 2, 3, 4, 4, 5, 6, 6, 6, 5, 4, 3, 2, 2, 3, 5, 6, 8, 9, 9, 9, 9, 9, 10, 10, 11, 11, 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, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 4, 5, 5, 6, 5, 4, 3, 1, 0, 0, 1, 2, 3, 4, 4, 3, 2, 1, 2, 3, 5, 6, 7, 6, 4, 1, 0, 0, 1, 3, 6, 7, 7, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 4, 4, 4, 4, 3, 3, 4, 4, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 8, 10, 10, 9, 8, 5, 4, 3, 2, 2, 2, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 8, 9, 11, 12, 11, 10, 8, 6, 5, 6, 8, 10, 13, 14, 14, 12, 10, 8, 7, 6, 7, 8, 8, 9, 10, 10, 10, 11, 12, 14, 19, 29, 44, 67, 98, 137, 184, 235, 285, 330, 364, 386, 395, 395, 388, 381, 378, 381, 392, 409, 429, 450, 468, 477, 477, 468, 454, 440, 433, 437, 454, 482, 513, 540, 557, 558, 541, 507, 457, 396, 329, 262, 199, 144, 100, 69, 49, 38, 33, 31, 30, 29, 27, 26, 24, 22, 20, 19, 18, 20, 25, 35, 52, 77, 112, 157, 214, 280, 352, 423, 487, 536, 564, 567, 544, 498, 434, 360, 285, 215, 155, 107, 71, 46, 29, 19, 13, 10, 10, 10, 11, 11, 10, 9, 8, 9, 14, 23, 37, 58, 85, 117, 155, 196, 239, 280, 315, 339, 348, 340, 317, 281, 237, 191, 148, 111, 80, 55, 37, 25, 20, 22, 32, 51, 76, 105, 137, 169, 200, 229, 254, 273, 285, 289, 285, 278, 271, 269, 275, 291, 314, 340, 363, 377, 380, 368, 344, 309, 267, 222, 176, 134, 98, 67, 44, 26, 15, 10, 8, 8, 10, 11, 11, 9, 6, 4, 4, 6, 8, 11, 13, 13, 11, 7, 4, 3, 3, 4, 5, 6, 6, 5, 3, 2, 2, 3, 5, 7, 8, 9, 9, 8, 7, 7, 11, 18, 30, 46, 67, 93, 121, 150, 180, 208, 231, 246, 250, 243, 225, 197, 164, 130, 99, 73, 52, 37, 26, 18, 11, 6, 2, 0, 0, 0, 3, 6, 9, 11, 12, 11, 9, 7, 5, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 7, 7, 7, 6, 5, 3, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 5, 5, 4, 3, 2, 2, 2, 4, 5, 5, 5, 4, 5, 9, 17, 32, 53, 82, 119, 162, 210, 259, 304, 341, 365, 373, 366, 344, 310, 269, 223, 178, 135, 97, 65, 41, 24, 14, 9, 6, 6, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 5, 7, 8, 7, 6, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 7, 11, 17, 24, 35, 48, 66, 90, 117, 148, 179, 208, 234, 253, 268, 280, 289, 297, 307, 319, 334, 351, 370, 388, 402, 409, 404, 386, 355, 313, 266, 218, 175, 137, 107, 83, 64, 50, 43, 44, 56, 80, 117, 166, 225, 293, 365, 438, 506, 560, 596, 608, 595, 559, 506, 443, 376, 311, 251, 198, 152, 115, 85, 62, 47, 36, 30, 26, 24, 22, 21, 21, 21, 23, 26, 33, 43, 58, 80, 108, 143, 183, 225, 265, 300, 327, 343, 347, 338, 319, 290, 256, 219, 182, 148, 117, 92, 72, 59, 51, 51, 60, 78, 108, 148, 200, 261, 327, 395, 461, 519, 566, 596, 606, 594, 559, 506, 438, 364, 291, 225, 169, 125, 91, 67, 49, 37, 30, 25, 23, 22, 21, 19, 17, 15, 13, 13, 14, 15, 16, 17, 17, 16, 14, 12, 12, 12, 13, 14, 15, 16, 17, 16, 15, 14, 13, 12, 12, 13, 16, 21, 27, 36, 48, 63, 83, 108, 140, 177, 218, 259, 297, 328, 348, 354, 346, 326, 296, 260, 221, 183, 147, 115, 88, 68, 56, 52, 59, 75, 100, 132, 168, 206, 243, 274, 299, 315, 320, 315, 301, 278, 247, 212, 175, 139, 106, 79, 58, 44, 35, 30, 26, 23, 20, 18, 16, 15, 14, 14, 14, 16, 20, 26, 35, 46, 62, 83, 112, 149, 196, 250, 309, 368, 420, 462, 490, 505, 507, 499, 486, 469, 452, 437, 425, 416, 410, 406, 402, 395, 382, 361, 331, 292, 249, 203, 160, 121, 89, 64, 46, 34, 26, 20, 17, 16, 14, 14, 13, 11, 9, 8, 6, 5, 4, 4, 4, 4, 3, 3, 3, 4, 6, 8, 11, 15, 21, 29, 41, 57, 76, 99, 123, 149, 176, 201, 225, 246, 264, 278, 287, 295, 302, 313, 328, 349, 374, 401, 425, 443, 453, 453, 445, 431, 415, 398, 382, 369, 359, 352, 346, 342, 337, 329, 315, 294, 266, 233, 196, 158, 123, 91, 66, 46, 32, 23, 17, 15, 14, 13, 12, 12, 11, 12, 13, 15, 17, 20, 26, 37, 54, 78, 109, 145, 181, 216, 248, 274, 293, 306, 309, 303, 286, 260, 227, 191, 156, 123, 95, 72, 53, 38, 26, 17, 11, 7, 5, 4, 4, 4, 4, 3, 3, 2, 1, 0, 0, 0, 0, 1, 2, 2, 3, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 3, 4, 6, 7, 9, 13, 18, 26, 37, 52, 71, 94, 121, 151, 182, 212, 237, 253, 260, 257, 246, 228, 205, 181, 156, 131, 107, 85, 68, 57, 54, 59, 73, 94, 122, 160, 208, 269, 343, 426, 513, 595, 664, 713, 736, 734, 709, 665, 606, 535, 459, 380, 303, 233, 174, 128, 95, 73, 58, 48, 39, 30, 22, 16, 12, 11, 12, 14, 15, 15, 13, 9, 5, 2, 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, 1, 2, 2, 3, 2, 1, 1, 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, 0, 1, 1, 2, 2, 1, 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, 1, 2, 4, 6, 7, 7, 8, 12, 21, 37, 61, 93, 131, 171, 211, 247, 279, 303, 318, 325, 322, 309, 288, 260, 227, 191, 156, 122, 93, 68, 49, 34, 23, 16, 13, 12, 12, 13, 13, 14, 15, 17, 21, 28, 38, 51, 68, 89, 114, 145, 181, 222, 269, 319, 370, 415, 451, 472, 477, 464, 436, 398, 353, 306, 260, 215, 172, 132, 97, 67, 44, 28, 19, 14, 12, 11, 10, 8, 7, 6, 6, 5, 5, 4, 3, 2, 1, 1, 1, 0, 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, 2, 5, 9, 15, 21, 30, 42, 59, 81, 108, 137, 167, 195, 219, 239, 254, 264, 269, 268, 258, 239, 213, 181, 148, 116, 88, 66, 48, 35, 25, 17, 12, 9, 7, 7, 9, 10, 13, 16, 19, 25, 33, 44, 60, 83, 113, 151, 196, 245, 298, 350, 399, 442, 476, 498, 505, 496, 471, 433, 385, 333, 281, 232, 189, 152, 120, 93, 70, 52, 39, 30, 25, 23, 23, 22, 21, 19, 18, 18, 21, 28, 41, 59, 82, 109, 139, 170, 200, 229, 254, 275, 290, 297, 296, 287, 270, 247, 220, 191, 161, 132, 105, 81, 60, 43, 30, 20, 14, 10, 8, 7, 7, 7, 7, 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, 1, 3, 4, 6, 8, 9, 11, 13, 15, 17, 21, 27, 36, 48, 63, 82, 104, 129, 155, 181, 206, 227, 244, 255, 259, 256, 248, 234, 216, 195, 172, 147, 124, 103, 86, 75, 71, 73, 82, 97, 116, 140, 168, 198, 230, 261, 288, 308, 319, 320, 310, 292, 267, 237, 205, 171, 138, 108, 82, 60, 43, 31, 22, 15, 10, 7, 4, 3, 3, 4, 5, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 3, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 3, 5, 6, 6, 6, 6, 5, 6, 7, 9, 12, 15, 18, 20, 22, 24, 27, 32, 42, 57, 79, 107, 141, 181, 225, 273, 322, 372, 420, 463, 499, 524, 536, 534, 517, 488, 447, 399, 346, 292, 241, 194, 154, 121, 94, 73, 56, 42, 31, 24, 20, 21, 25, 32, 39, 46, 54, 63, 75, 93, 115, 142, 172, 200, 226, 247, 263, 273, 278, 276, 266, 248, 223, 193, 161, 131, 105, 84, 68, 55, 44, 34, 24, 15, 8, 5, 4, 6, 8, 10, 9, 7, 4, 2, 1, 1, 3, 6, 8, 9, 9, 7, 5, 3, 1, 0, 0, 0, 1, 3, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 4, 5, 5, 4, 3, 1, 0, 1, 3, 6, 9, 11, 12, 12, 14, 17, 25, 38, 55, 78, 106, 138, 175, 215, 256, 296, 332, 362, 384, 397, 402, 398, 388, 370, 346, 315, 279, 240, 200, 163, 130, 102, 79, 61, 48, 38, 31, 28, 28, 30, 34, 38, 42, 46, 53, 64, 82, 105, 133, 163, 192, 221, 247, 272, 297, 319, 336, 347, 348, 339, 319, 291, 260, 228, 199, 173, 151, 133, 119, 110, 106, 109, 119, 135, 155, 178, 202, 226, 248, 269, 289, 308, 324, 338, 349, 357, 364, 372, 382, 395, 411, 426, 439, 446, 447, 442, 435, 427, 422, 421, 421, 423, 423, 421, 416, 408, 397, 383, 365, 343, 316, 286, 253, 221, 192, 165, 143, 124, 110, 102, 101, 107, 122, 144, 173, 206, 240, 274, 307, 338, 367, 393, 415, 430, 434, 428, 409, 379, 341, 299, 255, 213, 175, 143, 116, 94, 76, 62, 50, 41, 33, 26, 22, 19, 17, 16, 15, 13, 10, 8, 7, 7, 8, 10, 12, 13, 13, 11, 8, 5, 3, 2, 2, 2, 4, 5, 7, 8, 9, 9, 10, 10, 10, 10, 10, 9, 7, 5, 3, 2, 1, 1, 2, 2, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 4, 6, 9, 10, 11, 11, 11, 11, 11, 12, 13, 14, 16, 18, 21, 25, 30, 36, 45, 57, 71, 89, 109, 132, 156, 181, 204, 224, 242, 255, 263, 264, 258, 245, 226, 202, 175, 148, 121, 98, 78, 61, 47, 35, 24, 15, 8, 3, 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, 3, 8, 15, 24, 34, 46, 60, 77, 97, 119, 142, 165, 185, 201, 213, 221, 225, 226, 224, 217, 206, 189, 166, 141, 113, 88, 66, 49, 38, 30, 25, 20, 16, 13, 11, 11, 13, 17, 24, 31, 40, 49, 61, 75, 93, 113, 136, 161, 186, 212, 236, 257, 275, 287, 291, 287, 275, 256, 233, 209, 185, 162, 140, 119, 97, 76, 55, 37, 22, 12, 7, 6, 8, 11, 14, 17, 19, 22, 28, 37, 49, 65, 83, 103, 124, 145, 167, 188, 207, 223, 233, 236, 233, 223, 209, 193, 177, 161, 146, 132, 119, 107, 98, 92, 91, 95, 103, 117, 135, 156, 181, 209, 241, 276, 314, 353, 389, 419, 439, 450, 451, 447, 440, 434, 432, 433, 435, 436, 434, 428, 421, 414, 410, 411, 415, 422, 430, 438, 445, 450, 456, 460, 464, 467, 468, 468, 466, 464, 462, 461, 462, 464, 465, 465, 461, 451, 436, 416, 392, 366, 338, 309, 278, 246, 214, 181, 149, 121, 98, 79, 66, 57, 51, 46, 41, 37, 33, 30, 27, 25, 22, 20, 19, 18, 18, 20, 22, 25, 27, 29, 31, 35, 41, 50, 62, 76, 92, 110, 131, 156, 186, 221, 258, 295, 328, 356, 378, 393, 402, 403, 396, 381, 357, 326, 292, 258, 225, 196, 169, 144, 119, 96, 75, 60, 50, 46, 47, 51, 56, 60, 64, 69, 79, 94, 116, 144, 176, 207, 235, 258, 279, 300, 321, 345, 370, 393, 410, 421, 426, 426, 425, 426, 428, 432, 436, 438, 435, 427, 413, 395, 371, 343, 311, 276, 241, 207, 175, 146, 120, 98, 78, 61, 48, 39, 34, 31, 31, 31, 31, 33, 37, 43, 51, 62, 74, 88, 105, 124, 146, 172, 200, 230, 258, 284, 307, 325, 338, 346, 346, 339, 325, 304, 278, 248, 218, 187, 158, 131, 107, 85, 67, 52, 41, 32, 26, 21, 17, 13, 10, 8, 7, 6, 6, 7, 9, 11, 12, 13, 13, 13, 14, 18, 25, 34, 46, 58, 69, 80, 91, 105, 124, 148, 175, 204, 230, 252, 266, 275, 278, 279, 277, 274, 266, 253, 235, 211, 183, 155, 129, 106, 86, 70, 56, 43, 33, 24, 17, 12, 9, 7, 6, 5, 4, 3, 2, 2, 3, 4, 5, 6, 7, 9, 12, 16, 21, 27, 34, 42, 52, 63, 78, 97, 121, 149, 179, 209, 238, 263, 286, 307, 327, 345, 359, 366, 365, 353, 330, 301, 268, 236, 205, 177, 152, 128, 105, 84, 65, 50, 38, 30, 24, 21, 18, 15, 13, 11, 9, 8, 6, 5, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 6, 5, 4, 2, 0, 0, 0, 3, 7, 12, 17, 22, 28, 34, 42, 52, 66, 84, 105, 128, 155, 185, 217, 250, 283, 314, 341, 364, 380, 389, 390, 384, 373, 356, 336, 314, 291, 268, 244, 222, 203, 186, 175, 169, 169, 174, 184, 196, 210, 223, 236, 246, 254, 258, 258, 253, 243, 229, 212, 193, 174, 156, 137, 118, 99, 81, 64, 50, 39, 32, 29, 28, 29, 30, 31, 34, 39, 45, 54, 65, 78, 94, 112, 132, 155, 178, 201, 224, 244, 262, 277, 289, 298, 305, 312, 319, 327, 337, 346, 356, 364, 370, 373, 374, 374, 373, 372, 373, 375, 380, 386, 392, 398, 401, 402, 400, 395, 389, 384, 380, 378, 378, 378, 376, 371, 363, 351, 337, 323, 309, 296, 283, 270, 256, 239, 222, 204, 187, 171, 157, 143, 133, 126, 125, 130, 141, 156, 172, 188, 203, 216, 229, 244, 261, 279, 297, 313, 325, 333, 337, 340, 343, 347, 351, 355, 358, 359, 360, 363, 368, 378, 390, 404, 416, 424, 428, 428, 425, 422, 418, 413, 405, 393, 375, 352, 324, 294, 264, 233, 204, 176, 151, 128, 108, 91, 76, 63, 51, 41, 32, 24, 19, 15, 12, 11, 9, 7, 5, 4, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 4, 6, 9, 10, 10, 9, 6, 3, 0, 0, 0, 2, 4, 6, 7, 7, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 5, 7, 11, 14, 17, 20, 24, 29, 36, 45, 56, 67, 78, 89, 99, 110, 123, 139, 160, 183, 207, 227, 242, 250, 250, 245, 237, 227, 218, 210, 200, 190, 177, 164, 151, 140, 134, 133, 138, 147, 158, 169, 180, 191, 201, 212, 221, 228, 231, 230, 223, 213, 200, 186, 172, 160, 149, 139, 130, 123, 118, 114, 113, 115, 120, 129, 139, 151, 163, 172, 179, 183, 184, 186, 187, 188, 187, 183, 175, 161, 144, 124, 103, 85, 71, 59, 51, 45, 39, 32, 25, 18, 11, 6, 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, 1, 3, 5, 5, 5, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 10, 14, 18, 22, 28, 36, 46, 60, 75, 91, 107, 123, 139, 156, 174, 194, 213, 229, 240, 246, 246, 242, 235, 227, 219, 209, 199, 189, 177, 166, 155, 145, 136, 129, 125, 125, 130, 140, 153, 168, 184, 197, 209, 219, 229, 241, 255, 272, 289, 304, 316, 324, 330, 335, 340, 347, 355, 364, 372, 380, 385, 390, 393, 396, 397, 397, 395, 393, 391, 392, 395, 399, 404, 406, 406, 403, 399, 395, 392, 390, 388, 385, 380, 372, 361, 347, 332, 315, 297, 277, 257, 236, 215, 195, 175, 155, 136, 118, 101, 85, 71, 59, 48, 39, 32, 28, 24, 23, 21, 20, 18, 15, 11, 8, 6, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 7, 8, 9, 9, 8, 6, 3, 0, 0, 0, 2, 6, 10, 15, 18, 20, 22, 23, 25, 29, 35, 43, 54, 66, 79, 93, 107, 121, 135, 150, 165, 181, 197, 213, 230, 248, 265, 281, 296, 308, 318, 326, 333, 340, 346, 352, 354, 352, 344, 331, 314, 295, 276, 258, 241, 225, 209, 191, 173, 155, 137, 120, 105, 91, 79, 69, 60, 53, 48, 46, 46, 48, 52, 56, 61, 67, 73, 80, 91, 104, 120, 139, 159, 177, 193, 206, 214, 219, 220, 219, 217, 213, 208, 202, 195, 188, 179, 167, 153, 135, 116, 97, 81, 69, 62, 58, 55, 52, 48, 43, 39, 37, 39, 45, 54, 67, 80, 93, 105, 116, 127, 138, 149, 162, 176, 189, 200, 209, 214, 214, 212, 207, 201, 194, 186, 177, 166, 152, 137, 121, 106, 92, 80, 69, 60, 52, 44, 36, 29, 24, 19, 16, 14, 11, 9, 7, 5, 3, 3, 4, 6, 9, 12, 16, 19, 23, 28, 34, 42, 53, 65, 78, 92, 107, 123, 140, 158, 176, 192, 206, 217, 227, 235, 242, 249, 253, 255, 252, 245, 234, 221, 206, 192, 177, 163, 148, 133, 118, 104, 91, 79, 68, 59, 50, 42, 34, 28, 22, 17, 14, 12, 11, 11, 11, 12, 12, 11, 10, 10, 11, 14, 20, 26, 34, 41, 47, 54, 61, 70, 82, 97, 113, 129, 144, 157, 168, 178, 187, 195, 202, 206, 207, 204, 198, 191, 184, 178, 173, 170, 168, 165, 161, 156, 150, 143, 138, 135, 136, 139, 144, 151, 157, 162, 165, 167, 168, 169, 169, 168, 166, 162, 157, 151, 145, 140, 138, 137, 137, 137, 137, 137, 139, 143, 150, 158, 169, 180, 190, 199, 207, 215, 224, 232, 240, 248, 255, 262, 269, 275, 281, 285, 288, 288, 285, 280, 275, 270, 266, 262, 256, 247, 236, 224, 210, 198, 188, 181, 175, 170, 165, 163, 164, 170, 182, 199, 218, 238, 255, 270, 283, 297, 312, 330, 351, 372, 392, 408, 418, 423, 423, 422, 420, 420, 421, 423, 421, 416, 405, 390, 372, 353, 337, 323, 311, 301, 290, 279, 266, 253, 241, 232, 226, 224, 227, 233, 243, 258, 276, 296, 318, 339, 358, 374, 388, 399, 407, 412, 415, 414, 412, 406, 398, 386, 369, 347, 321, 293, 265, 238, 213, 191, 171, 151, 132, 115, 100, 88, 79, 72, 64, 56, 46, 36, 27, 20, 17, 17, 18, 18, 17, 15, 12, 10, 9, 9, 11, 13, 13, 13, 10, 8, 6, 5, 5, 7, 9, 12, 13, 13, 13, 12, 10, 10, 9, 10, 11, 13, 17, 21, 27, 33, 41, 50, 59, 69, 78, 87, 96, 105, 117, 133, 152, 174, 195, 214, 228, 237, 243, 248, 256, 267, 283, 301, 318, 334, 348, 360, 371, 381, 392, 402, 411, 419, 426, 431, 436, 442, 448, 456, 465, 475, 486, 495, 502, 506, 506, 503, 499, 494, 491, 489, 487, 484, 476, 464, 446, 425, 401, 378, 356, 336, 317, 298, 278, 257, 234, 212, 190, 170, 152, 137, 122, 109, 96, 83, 72, 61, 52, 45, 39, 35, 31, 28, 25, 22, 19, 15, 13, 10, 9, 8, 8, 7, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 5, 7, 7, 6, 5, 2, 0, 0, 0, 2, 4, 7, 10, 12, 13, 14, 16, 17, 19, 20, 22, 24, 27, 32, 38, 46, 54, 62, 70, 77, 85, 95, 107, 122, 138, 153, 168, 180, 190, 199, 206, 211, 216, 219, 220, 220, 217, 213, 207, 201, 194, 186, 177, 166, 155, 142, 129, 116, 105, 95, 87, 80, 74, 68, 62, 55, 48, 41, 35, 29, 24, 20, 16, 12, 9, 8, 8, 9, 11, 12, 12, 10, 8, 6, 5, 6, 8, 10, 12, 14, 15, 17, 18, 20, 22, 24, 26, 30, 35, 42, 53, 64, 76, 88, 99, 110, 124, 141, 162, 184, 205, 222, 234, 241, 246, 250, 254, 259, 263, 264, 260, 251, 237, 220, 202, 185, 169, 153, 137, 122, 107, 93, 81, 71, 63, 57, 53, 49, 45, 41, 38, 34, 32, 31, 31, 33, 35, 38, 43, 52, 66, 88, 121, 165, 221, 292, 376, 473, 578, 681, 768, 823, 833, 793, 707, 591, 464, 348, 257, 198, 167, 158, 159, 165, 169, 172, 174, 176, 178, 179, 179, 177, 176, 175, 176, 177, 179, 181, 181, 179, 177, 176, 175, 176, 177, 177, 178, 177, 178, 179, 182, 186, 189, 192, 192, 190, 187, 183, 180, 179, 180, 183, 186, 189, 191, 192, 192, 191, 189, 187, 185, 183, 183, 184, 185, 188, 190, 193, 195, 197, 197, 197, 195, 192, 189, 188, 188, 190, 193, 194, 194, 191, 187, 182, 179, 178, 180, 183, 187, 190, 192, 192, 191, 190, 189, 188, 189, 190, 192, 195, 198, 201, 201, 199, 192, 184, 175, 169, 167, 169, 175, 180, 184, 185, 182, 176, 170, 165, 161, 159, 159, 159, 159, 159, 159, 159, 158, 156, 154, 151, 149, 147, 146, 147, 148, 150, 151, 152, 152, 150, 146, 139, 132, 126, 122, 120, 122, 125, 130, 135, 138, 139, 138, 135, 130, 125, 121, 120, 121, 123, 127, 129, 129, 127, 122, 117, 113, 112, 113, 115, 117, 118, 117, 114, 110, 107, 106, 108, 113, 118, 122, 123, 123, 121, 118, 116, 115, 114, 113, 111, 109, 107, 106, 108, 111, 116, 120, 122, 123, 123, 125, 131, 143, 161, 186, 215, 247, 281, 313, 345, 374, 401, 424, 443, 455, 459, 454, 439, 416, 389, 360, 332, 309, 290, 274, 259, 245, 232, 220, 211, 205, 203, 203, 204, 203, 200, 194, 188, 182, 179, 179, 183, 188, 193, 197, 198, 196, 193, 190, 187, 186, 188, 192, 197, 203, 209, 214, 217, 218, 217, 215, 212, 211, 211, 213, 215, 218, 221, 223, 225, 227, 229, 232, 234, 236, 238, 239, 240, 242, 246, 250, 254, 258, 260, 260, 259, 257, 258, 261, 267, 275, 283, 288, 290, 287, 284, 281, 284, 291, 304, 319, 333, 344, 350, 352, 353, 354, 356, 359, 364, 369, 373, 377, 381, 386, 394, 403, 413, 424, 432, 437, 440, 440, 438, 436, 435, 435, 435, 436, 436, 435, 434, 432, 428, 422, 411, 397, 381, 365, 351, 340, 332, 323, 314, 302, 286, 269, 250, 232, 215, 198, 182, 166, 151, 138, 126, 117, 110, 104, 98, 89, 79, 68, 56, 46, 38, 32, 28, 26, 25, 23, 22, 21, 19, 18, 15, 12, 9, 6, 3, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
"peakC": [18, 17, 16, 13, 10, 7, 4, 4, 4, 5, 5, 5, 3, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 3, 6, 11, 15, 17, 19, 20, 22, 24, 27, 30, 34, 37, 40, 42, 45, 47, 51, 53, 55, 56, 54, 51, 48, 44, 40, 37, 33, 29, 25, 21, 17, 13, 10, 7, 6, 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, 0, 0, 0, 0, 0, 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, 10, 15, 21, 31, 43, 57, 74, 91, 108, 125, 140, 153, 164, 170, 173, 170, 162, 151, 136, 120, 104, 88, 72, 58, 46, 35, 25, 18, 12, 8, 5, 4, 2, 2, 2, 3, 7, 13, 22, 33, 47, 64, 84, 106, 130, 154, 177, 196, 210, 217, 217, 210, 197, 180, 161, 140, 119, 99, 80, 65, 53, 46, 45, 48, 57, 72, 93, 117, 144, 171, 194, 212, 222, 225, 220, 209, 192, 172, 148, 123, 97, 73, 53, 37, 27, 22, 23, 29, 40, 55, 75, 99, 126, 155, 183, 208, 226, 237, 238, 230, 214, 192, 164, 135, 106, 78, 55, 36, 22, 12, 5, 3, 2, 3, 4, 6, 6, 6, 4, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 4, 2, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 16, 37, 68, 107, 152, 199, 242, 278, 301, 310, 302, 278, 242, 198, 150, 106, 67, 38, 18, 6, 1, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 4, 3, 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, 1, 1, 2, 2, 2, 2, 2, 3, 4, 4, 4, 3, 2, 0, 0, 0, 0, 0, 0, 1, 10, 29, 62, 110, 170, 238, 305, 362, 401, 416, 404, 366, 309, 241, 172, 110, 61, 28, 8, 0, 0, 0, 1, 2, 2, 2, 3, 5, 7, 9, 10, 11, 10, 8, 6, 4, 3, 3, 4, 5, 6, 6, 5, 3, 1, 1, 1, 3, 4, 6, 7, 7, 6, 6, 5, 6, 5, 4, 2, 0, 0, 5, 24, 60, 116, 189, 271, 352, 421, 467, 482, 464, 418, 352, 282, 224, 193, 199, 244, 318, 408, 492, 552, 575, 555, 496, 408, 308, 211, 129, 67, 27, 5, 0, 0, 18, 54, 114, 197, 298, 406, 503, 576, 610, 600, 546, 460, 354, 247, 152, 80, 33, 8, 0, 0, 0, 2, 3, 3, 4, 6, 8, 10, 11, 11, 10, 9, 8, 7, 6, 4, 3, 2, 2, 2, 3, 4, 6, 7, 9, 9, 9, 7, 6, 3, 2, 1, 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, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 2, 2, 2, 2, 3, 4, 6, 7, 8, 9, 9, 8, 8, 6, 5, 5, 5, 5, 6, 7, 7, 7, 6, 4, 3, 1, 1, 1, 2, 3, 4, 5, 5, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 3, 6, 9, 11, 11, 9, 7, 5, 3, 3, 4, 5, 4, 2, 0, 0, 0, 2, 3, 2, 0, 0, 9, 45, 114, 218, 347, 482, 599, 674, 693, 650, 555, 428, 293, 173, 83, 28, 2, 0, 0, 4, 6, 7, 9, 11, 15, 18, 20, 20, 18, 16, 13, 11, 10, 9, 8, 8, 9, 10, 10, 10, 9, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 2, 3, 4, 5, 7, 8, 8, 8, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 4, 6, 7, 8, 8, 7, 6, 6, 5, 6, 8, 9, 11, 12, 13, 13, 12, 11, 10, 9, 7, 6, 5, 5, 5, 6, 8, 10, 12, 12, 12, 10, 8, 6, 5, 4, 4, 4, 6, 8, 10, 11, 11, 8, 4, 0, 0, 2, 5, 6, 4, 0, 0, 14, 62, 148, 268, 405, 532, 619, 644, 600, 498, 367, 244, 169, 166, 243, 385, 559, 722, 833, 864, 808, 679, 509, 333, 183, 78, 19, 0, 0, 4, 9, 11, 11, 12, 15, 19, 21, 21, 18, 13, 9, 6, 5, 4, 4, 3, 1, 0, 0, 0, 1, 3, 4, 6, 7, 8, 8, 7, 7, 7, 7, 8, 9, 11, 12, 13, 14, 13, 11, 9, 6, 5, 4, 5, 7, 9, 10, 11, 10, 9, 8, 6, 6, 5, 5, 4, 4, 3, 3, 3, 4, 6, 9, 10, 11, 11, 9, 7, 5, 3, 3, 3, 4, 5, 6, 6, 7, 7, 7, 7, 8, 8, 8, 7, 5, 3, 1, 0, 1, 2, 3, 4, 5, 5, 4, 4, 3, 3, 2, 2, 2, 1, 1, 2, 3, 3, 4, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 3, 1, 1, 1, 2, 3, 6, 9, 12, 14, 16, 15, 14, 11, 10, 10, 11, 13, 13, 11, 8, 5, 6, 11, 15, 14, 6, 0, 0, 25, 111, 261, 462, 683, 875, 993, 1006, 912, 735, 519, 311, 148, 45, 0, 0, 1, 10, 12, 8, 4, 3, 6, 11, 15, 15, 12, 8, 5, 4, 5, 7, 8, 8, 6, 4, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 3, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 2, 3, 5, 6, 6, 6, 4, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 9, 12, 14, 14, 10, 5, 1, 1, 4, 8, 10, 5, 0, 0, 12, 66, 164, 298, 447, 577, 656, 664, 597, 475, 328, 189, 84, 21, 0, 0, 3, 9, 9, 5, 1, 0, 1, 4, 6, 7, 6, 5, 3, 3, 4, 4, 5, 4, 4, 5, 5, 7, 8, 9, 8, 7, 6, 5, 5, 6, 8, 10, 13, 14, 15, 15, 13, 11, 8, 5, 3, 1, 0, 0, 0, 0, 1, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 6, 4, 0, 0, 0, 0, 8, 15, 13, 2, 0, 0, 53, 168, 347, 564, 775, 927, 977, 906, 733, 504, 284, 137, 103, 192, 376, 601, 800, 916, 917, 804, 611, 397, 222, 137, 162, 287, 472, 660, 793, 831, 763, 607, 408, 226, 115, 112, 223, 420, 653, 857, 977, 977, 856, 646, 405, 199, 85, 93, 220, 431, 666, 863, 969, 960, 844, 653, 438, 244, 103, 23, 0, 0, 8, 15, 14, 7, 1, 0, 2, 9, 16, 20, 19, 13, 6, 1, 2, 9, 17, 19, 10, 0, 0, 20, 113, 277, 498, 733, 928, 1030, 1012, 880, 670, 439, 236, 93, 17, 0, 0, 2, 7, 9, 10, 9, 5, 0, 0, 12, 76, 202, 390, 611, 817, 953, 973, 864, 650, 392, 171, 63, 117, 335, 673, 1046, 1357, 1521, 1497, 1292, 966, 607, 307, 137, 122, 242, 440, 644, 788, 831, 766, 618, 432, 251, 112, 27, 0, 0, 12, 24, 23, 9, 0, 0, 31, 125, 275, 464, 655, 802, 866, 826, 687, 483, 267, 93, 7, 32, 161, 361, 580, 761, 860, 854, 749, 578, 384, 211, 86, 18, 0, 0, 7, 11, 9, 3, 0, 1, 6, 11, 13, 12, 8, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 8, 10, 10, 9, 7, 4, 1, 0, 0, 1, 5, 10, 13, 14, 11, 7, 4, 4, 8, 12, 12, 4, 0, 0, 26, 100, 222, 376, 531, 648, 693, 650, 528, 355, 177, 41, 0, 29, 170, 380, 611, 807, 920, 923, 817, 634, 422, 230, 91, 15, 0, 0, 9, 15, 12, 4, 0, 0, 2, 11, 20, 26, 27, 24, 17, 10, 5, 4, 8, 13, 13, 6, 0, 0, 22, 93, 212, 367, 524, 645, 691, 645, 515, 335, 156, 28, 0, 67, 237, 466, 697, 872, 943, 892, 732, 506, 278, 113, 59, 129, 303, 530, 743, 883, 911, 825, 653, 445, 250, 105, 22, 0, 0, 9, 15, 13, 5, 0, 0, 0, 2, 7, 9, 7, 2, 0, 0, 2, 10, 17, 16, 5, 0, 0, 32, 127, 280, 468, 650, 780, 820, 759, 615, 429, 247, 104, 18, 0, 0, 10, 27, 31, 18, 0, 0, 1, 77, 222, 427, 656, 856, 975, 978, 865, 668, 441, 236, 89, 11, 0, 0, 12, 18, 14, 5, 0, 0, 0, 2, 5, 5, 3, 1, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 2, 5, 8, 11, 13, 15, 17, 18, 17, 13, 8, 4, 3, 5, 11, 14, 11, 2, 0, 2, 45, 136, 274, 437, 592, 696, 716, 640, 482, 282, 98, 0, 0, 147, 409, 729, 1032, 1238, 1297, 1196, 968, 676, 393, 173, 42, 0, 0, 9, 22, 20, 10, 0, 0, 0, 6, 11, 13, 10, 5, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 3, 3, 0, 0, 0, 0, 6, 12, 13, 6, 0, 0, 17, 87, 207, 362, 519, 637, 685, 646, 534, 381, 226, 102, 26, 0, 0, 4, 13, 15, 11, 6, 4, 6, 10, 13, 15, 15, 14, 12, 10, 8, 5, 3, 0, 0, 0, 2, 5, 6, 5, 1, 0, 0, 0, 7, 15, 16, 6, 0, 0, 33, 127, 280, 468, 650, 775, 802, 716, 536, 315, 119, 9, 25, 167, 401, 662, 879, 995, 982, 850, 640, 409, 209, 73, 5, 0, 1, 15, 19, 14, 4, 0, 0, 2, 7, 9, 6, 0, 0, 0, 3, 13, 18, 12, 0, 0, 8, 81, 216, 403, 603, 767, 847, 818, 684, 480, 260, 79, 0, 0, 117, 325, 570, 796, 944, 975, 877, 675, 421, 185, 29, 0, 88, 277, 508, 714, 839, 852, 756, 584, 384, 204, 76, 9, 0, 0, 12, 18, 14, 5, 0, 0, 0, 1, 3, 4, 3, 1, 0, 0, 0, 0, 0, 0, 2, 5, 8, 8, 5, 0, 0, 0, 6, 16, 19, 12, 0, 0, 11, 87, 229, 422, 627, 792, 867, 825, 672, 450, 221, 50, 0, 50, 218, 445, 667, 821, 869, 802, 644, 444, 252, 106, 22, 0, 0, 9, 16, 14, 6, 0, 0, 0, 0, 3, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 5, 6, 6, 5, 4, 2, 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, 0, 0, 0, 0, 0, 2, 5, 9, 13, 13, 10, 4, 1, 3, 12, 22, 24, 14, 0, 0, 18, 117, 293, 528, 774, 968, 1053, 1001, 821, 560, 287, 73, 0, 11, 178, 430, 702, 923, 1034, 1012, 866, 642, 401, 197, 62, 0, 0, 3, 18, 22, 15, 5, 0, 0, 1, 7, 12, 15, 15, 13, 9, 5, 1, 0, 4, 10, 15, 14, 4, 0, 0, 28, 111, 240, 396, 541, 635, 650, 582, 452, 296, 154, 53, 1, 0, 0, 13, 21, 20, 14, 7, 2, 0, 1, 2, 5, 8, 10, 12, 12, 11, 9, 8, 8, 9, 11, 14, 17, 18, 17, 15, 11, 8, 4, 1, 0, 0, 3, 10, 20, 31, 41, 48, 48, 43, 33, 22, 11, 5, 3, 4, 6, 7, 8, 10, 14, 20, 23, 19, 5, 0, 0, 36, 138, 298, 490, 671, 792, 815, 736, 577, 384, 205, 74, 5, 0, 0, 20, 34, 38, 33, 25, 19, 16, 15, 14, 13, 11, 9, 10, 16, 23, 29, 27, 16, 0, 0, 9, 77, 200, 365, 538, 675, 736, 700, 574, 390, 197, 45, 0, 5, 133, 330, 549, 734, 838, 835, 730, 554, 357, 182, 62, 1, 0, 1, 19, 30, 32, 27, 22, 17, 15, 14, 13, 13, 14, 18, 22, 27, 31, 31, 29, 24, 19, 15, 13, 12, 12, 12, 11, 9, 7, 5, 2, 1, 0, 0, 0, 0, 2, 4, 6, 7, 7, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 3, 5, 6, 7, 6, 4, 2, 0, 0, 1, 4, 8, 9, 7, 4, 3, 8, 18, 27, 27, 13, 0, 0, 22, 136, 332, 586, 843, 1034, 1103, 1030, 838, 582, 331, 137, 25, 0, 0, 15, 29, 30, 20, 10, 4, 5, 10, 15, 18, 17, 14, 10, 6, 2, 0, 0, 0, 2, 7, 13, 18, 20, 20, 17, 12, 6, 2, 0, 0, 0, 2, 3, 5, 5, 5, 4, 3, 1, 0, 0, 0, 0, 3, 7, 11, 12, 10, 6, 2, 0, 4, 10, 16, 13, 3, 0, 0, 37, 129, 271, 439, 595, 695, 709, 634, 492, 323, 169, 59, 3, 0, 0, 11, 15, 10, 2, 0, 1, 10, 20, 24, 22, 14, 8, 8, 14, 22, 23, 10, 0, 0, 33, 153, 353, 610, 868, 1057, 1123, 1041, 830, 547, 267, 60, 0, 19, 176, 394, 612, 770, 829, 778, 637, 448, 261, 116, 28, 0, 0, 7, 15, 14, 6, 0, 0, 0, 4, 10, 12, 11, 7, 4, 1, 0, 0, 0, 0, 2, 5, 8, 9, 8, 4, 1, 1, 6, 13, 16, 12, 0, 0, 3, 59, 170, 327, 501, 648, 726, 710, 601, 426, 232, 71, 0, 0, 105, 286, 496, 681, 793, 805, 716, 554, 365, 193, 71, 7, 0, 0, 13, 20, 17, 8, 0, 0, 0, 0, 5, 8, 11, 14, 15, 15, 13, 10, 5, 1, 0, 0, 3, 8, 12, 14, 14, 12, 9, 5, 2, 0, 0, 0, 3, 10, 18, 26, 33, 35, 32, 26, 17, 8, 2, 0, 1, 6, 12, 17, 19, 19, 15, 10, 6, 3, 3, 6, 12, 18, 23, 26, 24, 20, 13, 6, 1, 0, 0, 5, 16, 29, 41, 47, 47, 40, 30, 22, 19, 18, 15, 6, 0, 0, 25, 105, 238, 409, 583, 713, 757, 696, 541, 334, 136, 8, 0, 106, 319, 577, 810, 955, 976, 874, 681, 452, 244, 94, 13, 0, 0, 13, 19, 14, 4, 0, 3, 18, 37, 54, 62, 59, 46, 29, 14, 7, 8, 14, 16, 8, 0, 0, 17, 98, 239, 424, 616, 763, 822, 777, 639, 450, 261, 112, 23, 0, 0, 7, 15, 13, 4, 0, 1, 10, 24, 34, 38, 35, 26, 16, 7, 1, 0, 0, 3, 9, 16, 22, 24, 22, 15, 7, 1, 3, 10, 18, 19, 9, 0, 0, 22, 115, 272, 471, 667, 807, 850, 783, 628, 429, 238, 93, 10, 0, 0, 11, 28, 32, 20, 0, 0, 0, 60, 191, 382, 599, 792, 905, 902, 780, 568, 325, 115, 0, 0, 99, 295, 522, 720, 836, 843, 743, 568, 369, 191, 67, 5, 0, 0, 13, 18, 13, 4, 0, 0, 0, 1, 4, 4, 3, 2, 0, 0, 0, 0, 0, 0, 2, 4, 6, 9, 9, 8, 4, 0, 0, 0, 1, 8, 13, 11, 2, 0, 0, 31, 108, 224, 359, 479, 552, 555, 488, 371, 237, 119, 38, 0, 0, 0, 11, 15, 12, 6, 1, 0, 0, 2, 4, 4, 3, 1, 0, 0, 1, 9, 20, 33, 42, 45, 41, 32, 25, 22, 23, 23, 15, 0, 0, 0, 67, 203, 400, 624, 822, 939, 941, 827, 633, 410, 212, 75, 5, 0, 0, 13, 21, 23, 20, 16, 10, 0, 0, 0, 34, 122, 262, 434, 602, 723, 762, 708, 579, 409, 241, 109, 30, 0, 0, 8, 17, 20, 19, 17, 16, 12, 3, 0, 0, 33, 115, 245, 405, 558, 663, 684, 612, 462, 274, 101, 0, 0, 93, 292, 539, 771, 929, 971, 890, 712, 489, 276, 115, 22, 0, 0, 14, 26, 26, 20, 12, 9, 10, 13, 14, 13, 9, 4, 0, 0, 0, 5, 10, 15, 19, 19, 18, 14, 9, 5, 2, 0, 0, 0, 0, 0, 1, 3, 4, 3, 0, 0, 0, 0, 4, 12, 16, 10, 0, 0, 4, 66, 181, 337, 500, 627, 680, 642, 526, 367, 208, 86, 15, 0, 0, 7, 14, 12, 4, 0, 0, 0, 4, 7, 6, 1, 0, 0, 1, 10, 17, 14, 1, 0, 0, 54, 169, 340, 536, 711, 816, 817, 711, 524, 307, 115, 0, 0, 67, 234, 438, 625, 748, 774, 700, 550, 367, 198, 75, 9, 0, 0, 11, 16, 13, 5, 0, 0, 0, 5, 8, 8, 5, 2, 0, 0, 0, 0, 2, 5, 8, 12, 15, 17, 17, 16, 12, 8, 4, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 4, 10, 16, 19, 17, 10, 3, 0, 4, 13, 20, 17, 2, 0, 0, 57, 191, 396, 636, 857, 997, 1017, 909, 707, 467, 248, 91, 8, 0, 0, 15, 22, 17, 6, 0, 0, 3, 14, 24, 30, 32, 30, 25, 19, 12, 5, 0, 0, 1, 8, 17, 26, 31, 30, 24, 16, 12, 12, 15, 15, 7, 0, 0, 13, 83, 207, 371, 539, 668, 719, 677, 556, 391, 227, 99, 23, 0, 0, 1, 8, 10, 11, 12, 12, 5, 0, 0, 10, 79, 205, 377, 560, 707, 774, 742, 620, 444, 263, 117, 27, 0, 0, 6, 15, 14, 6, 0, 0, 1, 10, 20, 26, 28, 25, 20, 14, 10, 6, 5, 4, 4, 5, 6, 7, 6, 3, 0, 0, 0, 2, 11, 17, 14, 2, 0, 0, 42, 143, 296, 475, 637, 737, 746, 662, 509, 331, 171, 58, 1, 0, 0, 13, 21, 19, 13, 8, 7, 9, 11, 13, 12, 11, 9, 7, 6, 5, 5, 5, 7, 9, 11, 13, 13, 12, 10, 7, 3, 1, 0, 0, 0, 0, 0, 1, 2, 4, 5, 5, 5, 4, 2, 1, 0, 1, 3, 4, 3, 0, 0, 0, 0, 7, 15, 16, 7, 0, 0, 25, 109, 249, 428, 607, 738, 778, 712, 552, 343, 143, 11, 0, 75, 257, 480, 685, 815, 838, 754, 591, 396, 216, 84, 10, 0, 0, 11, 25, 27, 16, 0, 0, 0, 50, 163, 327, 516, 685, 789, 798, 708, 547, 359, 189, 68, 6, 0, 0, 12, 18, 14, 6, 0, 0, 0, 3, 6, 7, 6, 3, 0, 0, 0, 0, 3, 8, 13, 18, 21, 21, 19, 14, 9, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 2, 2, 0, 0, 0, 1, 3, 5, 6, 7, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 8, 10, 10, 9, 7, 5, 4, 3, 2, 0, 0, 0, 0, 4, 13, 19, 18, 6, 0, 0, 28, 116, 257, 429, 593, 705, 732, 666, 528, 357, 195, 76, 10, 0, 0, 14, 23, 22, 14, 5, 0, 0, 0, 4, 7, 8, 9, 8, 8, 7, 7, 7, 7, 6, 6, 4, 1, 0, 0, 0, 4, 13, 18, 13, 0, 0, 0, 53, 166, 333, 524, 694, 797, 803, 709, 543, 351, 180, 61, 1, 0, 0, 12, 17, 12, 3, 0, 0, 0, 1, 3, 4, 3, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 4, 3, 3, 5, 11, 17, 20, 15, 2, 0, 0, 35, 124, 256, 408, 542, 620, 618, 537, 402, 251, 121, 35, 0, 0, 1, 11, 13, 8, 1, 0, 0, 0, 1, 3, 3, 3, 3, 3, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 7, 10, 12, 15, 16, 16, 14, 12, 9, 6, 4, 3, 3, 4, 6, 7, 7, 7, 6, 6, 7, 8, 9, 10, 10, 10, 9, 7, 6, 6, 7, 9, 11, 14, 16, 18, 18, 17, 15, 12, 8, 5, 3, 3, 5, 7, 11, 13, 15, 16, 15, 13, 9, 4, 0, 0, 0, 5, 12, 14, 7, 0, 0, 9, 68, 172, 310, 454, 567, 618, 593, 500, 365, 225, 108, 33, 0, 0, 1, 11, 16, 19, 22, 29, 38, 47, 52, 49, 40, 27, 14, 4, 0, 0, 2, 7, 11, 13, 12, 10, 6, 3, 0, 0, 2, 6, 11, 15, 17, 17, 14, 10, 5, 1, 0, 0, 3, 8, 14, 20, 25, 27, 27, 23, 17, 11, 5, 1, 0, 0, 3, 6, 9, 10, 10, 9, 8, 6, 4, 2, 1, 0, 0, 0, 0, 2, 5, 8, 10, 11, 11, 9, 7, 5, 3, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 5, 12, 18, 19, 13, 1, 0, 2, 42, 118, 223, 336, 431, 479, 468, 401, 297, 184, 89, 26, 0, 0, 2, 10, 14, 12, 9, 6, 6, 7, 8, 7, 5, 3, 3, 5, 9, 14, 20, 26, 30, 32, 31, 27, 21, 13, 7, 5, 8, 14, 18, 14, 2, 0, 0, 39, 132, 272, 435, 581, 671, 678, 599, 459, 298, 153, 53, 2, 0, 0, 9, 13, 9, 2, 0, 0, 0, 1, 3, 4, 2, 1, 0, 0, 0, 1, 4, 6, 8, 8, 8, 7, 5, 3, 1, 0, 0, 0, 1, 2, 4, 6, 8, 8, 8, 7, 6, 4, 3, 2, 2, 1, 1, 0, 0, 0, 0, 1, 3, 6, 8, 9, 9, 7, 4, 2, 0, 0, 0, 0, 2, 4, 6, 7, 6, 5, 3, 2, 1, 1, 2, 3, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 5, 12, 20, 28, 33, 35, 32, 26, 20, 16, 14, 15, 19, 23, 26, 26, 24, 19, 13, 7, 3, 0, 0, 2, 4, 6, 7, 7, 5, 2, 1, 1, 2, 4, 4, 3, 0, 0, 3, 10, 18, 19, 11, 0, 0, 10, 83, 217, 396, 585, 735, 803, 768, 643, 463, 276, 126, 32, 0, 0, 6, 16, 17, 10, 2, 0, 0, 0, 1, 4, 4, 3, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 9, 12, 15, 16, 16, 16, 15, 15, 15, 15, 15, 14, 11, 8, 5, 2, 0, 0, 0, 2, 5, 9, 13, 15, 16, 14, 10, 6, 2, 0, 0, 0, 1, 4, 7, 9, 10, 10, 9, 8, 7, 8, 10, 11, 13, 15, 19, 24, 27, 24, 12, 0, 0, 8, 75, 196, 357, 527, 662, 726, 700, 594, 437, 272, 133, 41, 0, 0, 0, 13, 23, 25, 18, 5, 0, 0, 24, 103, 235, 406, 583, 723, 785, 748, 616, 422, 215, 52, 0, 25, 184, 423, 685, 904, 1023, 1014, 884, 672, 434, 225, 80, 5, 0, 1, 21, 33, 34, 27, 19, 12, 9, 9, 10, 13, 16, 17, 17, 16, 15, 18, 22, 25, 20, 6, 0, 0, 32, 134, 298, 501, 700, 841, 885, 818, 660, 457, 259, 108, 21, 0, 0, 11, 22, 22, 15, 6, 0, 0, 0, 1, 3, 4, 5, 6, 7, 6, 6, 4, 2, 1, 0, 0, 0, 0, 0, 1, 4, 7, 12, 16, 19, 20, 20, 17, 12, 6, 1, 0, 0, 5, 11, 12, 6, 0, 0, 12, 69, 168, 299, 434, 539, 584, 556, 463, 333, 199, 92, 25, 0, 0, 1, 6, 7, 6, 6, 8, 6, 0, 0, 0, 29, 103, 221, 365, 504, 601, 629, 578, 464, 320, 182, 76, 16, 0, 0, 6, 13, 15, 14, 13, 11, 6, 0, 0, 10, 61, 158, 292, 440, 565, 631, 614, 514, 356, 182, 43, 0, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 28, 178, 404, 652, 862, 980, 976, 856, 656, 429, 227, 84, 10, 0, 0, 14, 20, 15, 6, 0, 0, 0, 6, 11, 13, 10, 6, 4, 6, 11, 15, 14, 6, 0, 0, 19, 85, 196, 335, 475, 578, 616, 579, 478, 341, 203, 93, 25, 0, 0, 4, 13, 16, 14, 11, 8, 8, 7, 7, 6, 5, 5, 7, 11, 16, 20, 22, 21, 19, 14, 9, 5, 2, 2, 5, 9, 14, 18, 21, 22, 21, 18, 14, 9, 5, 1, 0, 0, 2, 7, 13, 19, 24, 27, 26, 23, 18, 14, 11, 13, 19, 28, 39, 49, 55, 56, 51, 42, 30, 19, 12, 9, 12, 18, 26, 34, 37, 37, 33, 26, 19, 12, 7, 4, 3, 3, 4, 4, 4, 3, 3, 2, 1, 1, 1, 3, 7, 13, 20, 27, 31, 32, 28, 22, 14, 7, 2, 0, 0, 0, 0, 0, 2, 4, 8, 11, 11, 9, 5, 2, 2, 7, 13, 15, 7, 0, 0, 16, 90, 221, 394, 576, 721, 790, 762, 647, 476, 294, 143, 44, 0, 0, 1, 11, 14, 8, 1, 0, 0, 0, 4, 8, 10, 10, 8, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 3, 4, 5, 4, 3, 2, 0, 0, 0, 0, 2, 4, 5, 5, 5, 3, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 3, 5, 6, 6, 6, 5, 3, 1, 0, 0, 2, 4, 5, 4, 2, 0, 0, 4, 11, 15, 12, 0, 0, 0, 49, 153, 310, 496, 670, 788, 816, 747, 601, 416, 239, 103, 23, 0, 0, 6, 14, 14, 7, 1, 0, 3, 9, 16, 21, 22, 20, 17, 13, 10, 6, 3, 2, 2, 4, 7, 10, 11, 10, 9, 9, 12, 17, 20, 16, 5, 0, 0, 29, 114, 248, 415, 580, 702, 748, 705, 586, 424, 259, 124, 38, 0, 0, 1, 9, 10, 6, 0, 0, 0, 0, 2, 3, 3, 3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 11, 13, 12, 7, 3, 2, 7, 15, 19, 14, 0, 0, 0, 64, 196, 390, 612, 812, 936, 950, 849, 664, 445, 243, 96, 16, 0, 0, 11, 18, 15, 6, 0, 0, 0, 6, 13, 17, 19, 18, 15, 12, 10, 7, 5, 4, 4, 4, 5, 6, 7, 7, 8, 8, 7, 6, 4, 2, 1, 1, 3, 6, 9, 11, 11, 10, 7, 7, 9, 14, 17, 15, 4, 0, 0, 29, 109, 239, 400, 562, 683, 733, 697, 587, 431, 269, 134, 45, 2, 0, 0, 8, 9, 5, 0, 0, 1, 6, 11, 13, 12, 11, 12, 16, 19, 17, 6, 0, 0, 26, 111, 251, 430, 612, 751, 810, 772, 650, 476, 295, 145, 47, 1, 0, 0, 9, 11, 6, 0, 0, 0, 4, 10, 14, 15, 12, 9, 5, 3, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 3, 3, 2, 0, 0, 0, 6, 13, 16, 12, 0, 0, 1, 52, 157, 313, 495, 663, 774, 799, 729, 587, 409, 238, 107, 28, 0, 0, 0, 7, 10, 10, 8, 3, 0, 0, 0, 39, 117, 236, 378, 513, 606, 632, 583, 473, 333, 196, 89, 23, 0, 0, 3, 9, 9, 4, 0, 0, 0, 1, 5, 8, 9, 9, 7, 5, 2, 0, 0, 0, 2, 5, 6, 5, 2, 0, 2, 7, 14, 16, 10, 0, 0, 5, 65, 179, 340, 522, 681, 776, 781, 696, 543, 365, 201, 82, 15, 0, 0, 6, 11, 8, 2, 0, 0, 2, 10, 18, 22, 23, 20, 16, 11, 7, 4, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 3, 1, 0, 0, 0, 1, 2, 4, 5, 4, 4, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 5, 5, 4, 2, 0, 0, 0, 0, 4, 8, 12, 13, 11, 8, 6, 7, 11, 15, 13, 3, 0, 0, 30, 112, 243, 408, 572, 696, 747, 712, 602, 447, 283, 144, 49, 1, 0, 0, 13, 21, 18, 4, 0, 0, 28, 116, 255, 429, 603, 735, 792, 757, 641, 475, 300, 153, 54, 5, 0, 0, 8, 11, 7, 1, 0, 0, 0, 3, 7, 9, 10, 9, 9, 9, 9, 9, 9, 8, 7, 7, 7, 7, 9, 11, 13, 15, 15, 14, 12, 9, 6, 3, 1, 1, 3, 5, 8, 11, 12, 12, 11, 10, 10, 12, 13, 14, 13, 12, 11, 12, 16, 18, 15, 5, 0, 0, 28, 109, 241, 410, 582, 718, 782, 756, 647, 486, 312, 163, 60, 7, 0, 0, 7, 10, 7, 1, 0, 0, 0, 2, 4, 5, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 7, 8, 8, 7, 5, 3, 1, 0, 0, 0, 1, 3, 4, 5, 6, 5, 4, 3, 2, 1, 0, 1, 2, 5, 7, 9, 9, 9, 8, 7, 6, 5, 4, 4, 3, 3, 3, 3, 4, 5, 4, 4, 5, 8, 12, 16, 14, 5, 0, 0, 22, 93, 212, 367, 527, 655, 717, 697, 601, 455, 295, 157, 60, 9, 0, 0, 7, 10, 8, 2, 0, 0, 0, 2, 5, 8, 10, 12, 12, 13, 13, 12, 11, 10, 10, 9, 9, 7, 6, 4, 2, 0, 0, 0, 2, 4, 6, 8, 10, 10, 10, 9, 8, 6, 4, 2, 0, 0, 0, 1, 4, 7, 11, 14, 15, 14, 12, 9, 5, 3, 1, 0, 0, 0, 0, 0, 2, 3, 5, 6, 5, 4, 3, 1, 0, 0, 0, 0, 1, 1, 2, 3, 3, 4, 5, 8, 11, 14, 16, 15, 14, 13, 13, 15, 15, 12, 3, 0, 0, 27, 97, 211, 356, 503, 619, 675, 656, 568, 434, 286, 156, 62, 9, 0, 0, 8, 17, 17, 7, 0, 0, 13, 80, 195, 348, 512, 650, 728, 726, 645, 506, 346, 199, 88, 23, 0, 0, 3, 7, 7, 2, 0, 0, 0, 1, 5, 7, 8, 8, 7, 5, 3, 1, 0, 0, 0, 1, 2, 4, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 3, 5, 6, 6, 5, 3, 2, 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, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 6, 7, 6, 5, 4, 6, 9, 12, 10, 3, 0, 0, 26, 97, 214, 364, 519, 643, 705, 690, 602, 464, 310, 171, 70, 12, 0, 0, 9, 19, 19, 7, 0, 0, 27, 117, 266, 459, 662, 830, 920, 906, 791, 602, 389, 204, 93, 79, 162, 315, 496, 656, 755, 770, 701, 568, 405, 247, 123, 43, 5, 0, 0, 5, 9, 10, 9, 7, 2, 0, 0, 15, 68, 164, 300, 456, 600, 700, 730, 682, 570, 419, 266, 137, 51, 6, 0, 0, 7, 11, 8, 3, 0, 0, 1, 4, 6, 7, 6, 4, 2, 1, 0, 0, 1, 3, 5, 7, 8, 9, 11, 14, 18, 20, 17, 8, 0, 0, 16, 79, 190, 339, 501, 641, 723, 727, 652, 518, 359, 210, 96, 27, 0, 0, 2, 8, 7, 2, 0, 0, 0, 8, 15, 19, 19, 16, 14, 13, 15, 15, 10, 0, 0, 0, 44, 138, 285, 465, 645, 784, 849, 824, 717, 554, 375, 215, 96, 25, 0, 0, 1, 10, 14, 10, 0, 0, 0, 27, 98, 213, 362, 518, 650, 725, 724, 648, 515, 358, 210, 97, 28, 0, 0, 1, 7, 6, 2, 0, 0, 2, 8, 14, 18, 19, 18, 17, 15, 14, 13, 12, 11, 9, 6, 4, 1, 0, 0, 0, 0, 2, 4, 5, 6, 5, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 8, 9, 10, 10, 8, 6, 5, 6, 8, 11, 10, 5, 0, 0, 10, 56, 139, 253, 381, 497, 573, 591, 548, 455, 335, 214, 113, 45, 9, 0, 0, 3, 5, 4, 1, 0, 0, 0, 2, 5, 6, 7, 6, 4, 2, 1, 1, 2, 3, 4, 4, 4, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 3, 5, 5, 5, 5, 4, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 1, 0, 0, 0, 3, 9, 11, 7, 0, 0, 6, 52, 142, 273, 425, 569, 671, 707, 668, 565, 424, 277, 151, 64, 15, 0, 0, 2, 5, 4, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 6, 8, 4, 0, 0, 8, 51, 130, 242, 369, 484, 562, 582, 539, 446, 325, 204, 104, 38, 5, 0, 0, 4, 5, 3, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 4, 6, 7, 7, 5, 3, 1, 1, 3, 6, 6, 3, 0, 0, 13, 58, 136, 241, 357, 461, 527, 540, 497, 409, 297, 186, 95, 35, 5, 0, 0, 3, 5, 3, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 5, 7, 7, 7, 5, 3, 1, 0, 0, 1, 2, 3, 3, 1, 0, 0, 3, 7, 9, 7, 1, 0, 2, 33, 103, 214, 354, 501, 622, 688, 680, 597, 460, 306, 177, 112, 132, 237, 404, 591, 753, 850, 859, 782, 638, 461, 290, 151, 59, 12, 0, 0, 4, 6, 3, 0, 0, 0, 3, 7, 10, 10, 9, 6, 4, 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, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 1, 2, 4, 6, 8, 9, 8, 7, 5, 3, 2, 1, 0, 0, 0, 1, 5, 7, 6, 1, 0, 0, 21, 74, 163, 279, 406, 516, 586, 599, 552, 457, 337, 216, 115, 47, 10, 0, 0, 2, 4, 3, 0, 0, 0, 1, 3, 5, 5, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 3, 4, 5, 4, 3, 1, 0, 0, 0, 0, 2, 3, 4, 5, 5, 4, 3, 1, 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, 1, 2, 3, 3, 4, 3, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 9, 11, 11, 10, 8, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 5, 5, 6, 6, 6, 5, 4, 3, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 4, 6, 9, 11, 11, 9, 7, 5, 6, 9, 13, 13, 7, 0, 0, 14, 77, 194, 363, 564, 761, 912, 983, 955, 835, 649, 442, 260, 143, 114, 172, 297, 452, 598, 698, 731, 691, 592, 458, 315, 188, 92, 31, 2, 0, 0, 7, 9, 5, 0, 0, 8, 51, 132, 251, 393, 534, 645, 702, 688, 608, 479, 332, 202, 123, 114, 179, 307, 467, 626, 744, 796, 767, 665, 514, 349, 209, 127, 120, 186, 306, 446, 569, 646, 659, 607, 505, 377, 249, 141, 64, 20, 2, 0, 3, 5, 6, 4, 2, 2, 3, 6, 9, 12, 13, 13, 12, 11, 10, 8, 6, 5, 3, 3, 4, 5, 7, 8, 10, 10, 10, 9, 8, 6, 6, 6, 8, 10, 12, 13, 14, 13, 13, 13, 11, 6, 0, 0, 1, 24, 75, 155, 260, 376, 481, 554, 580, 553, 479, 376, 263, 160, 81, 31, 8, 2, 6, 9, 7, 1, 0, 5, 39, 107, 210, 340, 477, 595, 668, 677, 618, 505, 368, 244, 171, 173, 256, 406, 587, 758, 877, 917, 869, 747, 579, 400, 240, 119, 44, 8, 0, 0, 5, 7, 8, 8, 10, 14, 19, 23, 26, 26, 25, 22, 19, 16, 14, 12, 11, 11, 11, 12, 11, 10, 9, 8, 8, 8, 7, 5, 0, 0, 5, 31, 83, 165, 272, 389, 494, 565, 583, 542, 452, 335, 224, 150, 138, 196, 316, 470, 623, 737, 787, 759, 663, 524, 377, 259, 196, 200, 266, 370, 483, 571, 611, 595, 526, 421, 303, 194, 107, 49, 17, 5, 3, 5, 8, 10, 12, 15, 19, 24, 27, 28, 26, 23, 19, 16, 14, 12, 12, 11, 11, 10, 10, 11, 11, 11, 11, 11, 10, 9, 9, 8, 8, 8, 7, 5, 4, 3, 2, 2, 4, 5, 7, 8, 8, 8, 8, 7, 7, 7, 7, 7, 8, 8, 8, 7, 6, 4, 3, 2, 3, 3, 4, 5, 6, 6, 5, 3, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 5, 5, 6, 5, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 8, 12, 15, 17, 16, 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, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 6, 6, 6, 7, 9, 10, 9, 4, 0, 0, 16, 71, 170, 313, 483, 655, 796, 878, 884, 813, 682, 515, 346, 199, 91, 26, 0, 0, 2, 7, 6, 0, 0, 2, 36, 104, 207, 336, 473, 594, 676, 702, 667, 578, 454, 319, 194, 98, 36, 6, 0, 0, 2, 3, 2, 0, 0, 0, 0, 2, 4, 4, 3, 2, 0, 0, 0, 0, 1, 4, 6, 7, 8, 8, 6, 4, 2, 0, 0, 0, 1, 2, 3, 4, 4, 4, 3, 2, 2, 2, 3, 4, 4, 3, 0, 0, 0, 15, 48, 102, 172, 250, 323, 376, 400, 388, 345, 279, 203, 131, 73, 32, 9, 0, 0, 0, 1, 1, 1, 1, 2, 2, 3, 2, 2, 1, 1, 1, 1, 2, 2, 3, 2, 2, 2, 2, 2, 4, 7, 9, 9, 6, 0, 0, 3, 30, 85, 171, 278, 392, 492, 560, 580, 550, 476, 375, 265, 164, 86, 35, 8, 0, 0, 1, 3, 5, 7, 10, 13, 16, 17, 16, 14, 12, 11, 11, 11, 8, 4, 0, 2, 16, 51, 113, 203, 312, 427, 525, 586, 597, 554, 468, 360, 258, 191, 177, 221, 314, 433, 550, 638, 676, 658, 588, 482, 360, 242, 144, 73, 31, 11, 7, 10, 12, 9, 3, 0, 0, 21, 73, 160, 278, 415, 548, 654, 711, 708, 647, 540, 409, 277, 163, 80, 29, 5, 0, 0, 4, 7, 8, 9, 10, 12, 13, 15, 15, 15, 14, 14, 14, 14, 15, 15, 15, 14, 13, 13, 12, 13, 13, 12, 9, 4, 0, 1, 16, 53, 119, 214, 331, 454, 561, 632, 650, 610, 521, 407, 297, 221, 200, 241, 334, 456, 574, 660, 690, 659, 574, 457, 337, 244, 198, 210, 272, 368, 470, 554, 597, 591, 536, 447, 339, 232, 140, 72, 29, 7, 0, 0, 2, 4, 5, 6, 8, 9, 11, 12, 14, 15, 16, 18, 19, 18, 14, 7, 0, 0, 11, 45, 105, 190, 289, 389, 472, 521, 529, 494, 426, 338, 245, 161, 93, 45, 17, 4, 1, 4, 8, 12, 14, 14, 14, 13, 13, 13, 14, 14, 14, 14, 14, 13, 13, 13, 12, 12, 11, 10, 9, 8, 7, 6, 6, 6, 6, 7, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 3, 3, 2, 1, 0, 0, 0, 0, 1, 2, 4, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 4, 5, 6, 5, 4, 3, 1, 0, 0, 0, 0, 1, 3, 5, 6, 7, 7, 8, 9, 10, 10, 8, 2, 0, 0, 18, 67, 151, 268, 407, 546, 660, 730, 741, 693, 596, 471, 337, 216, 120, 55, 19, 4, 1, 1, 0, 0, 0, 16, 57, 128, 226, 344, 463, 563, 626, 638, 597, 513, 405, 299, 223, 196, 227, 311, 427, 550, 650, 705, 704, 646, 546, 421, 294, 183, 97, 41, 11, 0, 0, 3, 7, 11, 14, 17, 19, 22, 23, 23, 23, 21, 19, 17, 15, 13, 11, 10, 9, 9, 8, 7, 6, 4, 3, 2, 2, 3, 5, 8, 10, 12, 13, 13, 13, 12, 11, 10, 9, 7, 5, 4, 3, 3, 4, 4, 5, 5, 5, 3, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 4, 5, 5, 4, 4, 4, 3, 2, 0, 0, 0, 12, 39, 85, 150, 228, 307, 375, 419, 431, 408, 357, 286, 209, 137, 79, 39, 15, 4, 1, 2, 1, 0, 0, 2, 17, 49, 103, 180, 273, 373, 461, 522, 542, 517, 453, 368, 289, 242, 248, 313, 429, 574, 715, 821, 866, 842, 754, 625, 487, 372, 306, 300, 349, 434, 526, 597, 625, 602, 534, 443, 354, 295, 283, 324, 409, 517, 621, 695, 719, 688, 610, 504, 399, 321, 290, 314, 384, 481, 579, 652, 681, 661, 594, 495, 382, 271, 175, 103, 54, 25, 12, 8, 10, 13, 16, 18, 19, 19, 19, 19, 19, 20, 20, 18, 14, 8, 2, 2, 11, 34, 74, 131, 198, 269, 333, 379, 399, 390, 353, 295, 225, 155, 94, 48, 19, 5, 1, 3, 6, 8, 9, 8, 7, 7, 7, 8, 9, 10, 11, 11, 11, 10, 9, 7, 5, 4, 3, 3, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 4, 4, 3, 3, 1, 0, 0, 1, 3, 4, 6, 6, 6, 6, 5, 3, 1, 0, 0, 6, 25, 61, 117, 190, 273, 355, 423, 466, 476, 451, 397, 322, 239, 160, 94, 47, 18, 3, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 5, 6, 7, 9, 11, 13, 16, 17, 18, 19, 18, 17, 15, 12, 9, 5, 1, 0, 3, 16, 43, 87, 146, 217, 292, 359, 408, 429, 418, 380, 325, 269, 229, 221, 251, 317, 407, 502, 580, 623, 621, 576, 498, 409, 331, 284, 281, 321, 393, 477, 552, 597, 601, 560, 482, 383, 279, 184, 109, 56, 24, 8, 2, 1, 3, 5, 8, 10, 13, 15, 17, 18, 19, 19, 16, 11, 4, 0, 0, 14, 48, 106, 187, 284, 386, 477, 544, 575, 565, 516, 438, 342, 244, 156, 87, 39, 12, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 5, 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, 0, 0, 0, 0, 0, 0, 0, 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, 10, 10, 9, 8, 8, 8, 10, 12, 13, 13, 12, 11, 10, 10, 11, 13, 14, 14, 12, 7, 2, 0, 0, 13, 40, 84, 143, 213, 286, 354, 406, 434, 434, 405, 353, 285, 211, 142, 84, 42, 16, 3, 0, 0, 0, 1, 2, 2, 3, 5, 7, 8, 9, 9, 8, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 8, 10, 11, 12, 12, 11, 11, 10, 9, 8, 7, 7, 12, 23, 46, 84, 137, 202, 273, 338, 387, 411, 404, 368, 310, 241, 172, 111, 64, 32, 13, 4, 1, 0, 0, 0, 1, 1, 2, 3, 4, 6, 6, 6, 6, 5, 4, 3, 4, 6, 9, 11, 13, 14, 13, 12, 11, 9, 8, 7, 6, 5, 5, 6, 7, 9, 11, 12, 12, 12, 12, 12, 13, 15, 17, 18, 19, 19, 19, 18, 17, 14, 11, 10, 14, 28, 58, 108, 178, 267, 367, 464, 544, 594, 606, 578, 518, 441, 367, 313, 294, 314, 366, 435, 502, 547, 560, 536, 483, 416, 355, 316, 311, 342, 401, 473, 541, 587, 600, 574, 514, 429, 333, 241, 161, 101, 60, 35, 22, 15, 14, 21, 39, 76, 136, 220, 323, 435, 541, 626, 676, 683, 646, 570, 469, 357, 249, 157, 86, 39, 12, 1, 0, 2, 6, 10, 12, 13, 13, 12, 11, 11, 10, 10, 10, 9, 9, 8, 7, 6, 7, 8, 10, 12, 13, 14, 13, 11, 8, 6, 5, 5, 6, 8, 10, 11, 11, 11, 10, 8, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 3, 4, 5, 5, 6, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 2, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 6, 7, 8, 8, 9, 9, 9, 9, 9, 8, 7, 5, 4, 3, 3, 3, 3, 3, 2, 2, 1, 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, 1, 2, 2, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 5, 4, 3, 2, 0, 1, 6, 20, 46, 86, 142, 210, 284, 355, 413, 447, 453, 429, 380, 313, 240, 169, 109, 62, 31, 12, 3, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 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, 1, 2, 3, 4, 4, 4, 4, 4, 5, 7, 9, 11, 12, 13, 12, 11, 10, 9, 9, 12, 21, 40, 73, 124, 195, 282, 378, 473, 553, 604, 619, 596, 542, 471, 399, 345, 320, 328, 366, 422, 480, 527, 548, 539, 500, 435, 355, 272, 193, 127, 76, 40, 18, 5, 1, 3, 14, 35, 72, 124, 193, 273, 359, 439, 501, 538, 541, 512, 453, 376, 290, 206, 134, 78, 39, 15, 3, 0, 0, 0, 0, 1, 1, 1, 2, 4, 6, 7, 8, 7, 6, 4, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 5, 6, 9, 16, 30, 54, 88, 133, 184, 237, 284, 317, 332, 326, 300, 259, 210, 158, 111, 71, 41, 20, 8, 1, 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, 1, 1, 0, 0, 0, 1, 3, 5, 7, 7, 6, 4, 3, 7, 19, 42, 79, 129, 188, 254, 318, 375, 416, 436, 432, 403, 353, 289, 220, 153, 97, 54, 26, 10, 3, 1, 2, 3, 3, 2, 2, 1, 1, 2, 4, 6, 9, 11, 12, 12, 12, 12, 11, 12, 12, 13, 13, 12, 10, 8, 7, 11, 23, 47, 84, 134, 193, 255, 312, 357, 384, 390, 374, 343, 306, 273, 254, 256, 283, 330, 390, 452, 504, 533, 534, 505, 448, 372, 289, 208, 138, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 84, 47, 23, 9, 2, 0, 0, 6, 22, 50, 92, 147, 213, 285, 356, 417, 461, 480, 473, 440, 385, 317, 245, 177, 118, 72, 39, 19, 8, 4, 3, 5, 7, 9, 11, 12, 12, 12, 12, 11, 11, 13, 19, 33, 58, 96, 148, 212, 283, 354, 416, 461, 483, 479, 449, 396, 327, 251, 177, 112, 62, 27, 8, 0, 0, 2, 5, 7, 7, 7, 8, 8, 9, 10, 10, 10, 10, 9, 9, 9, 9, 8, 7, 6, 5, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 4, 5, 5, 4, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 4, 3, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 3, 2, 0, 0, 1, 8, 23, 47, 81, 124, 171, 220, 263, 295, 313, 312, 294, 260, 216, 167, 118, 76, 44, 21, 8, 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, 2, 4, 6, 7, 8, 9, 8, 7, 6, 8, 14, 28, 53, 92, 145, 211, 285, 360, 425, 472, 493, 486, 452, 397, 328, 254, 184, 124, 76, 43, 21, 9, 4, 4, 5, 6, 7, 7, 7, 6, 5, 5, 5, 6, 7, 7, 8, 9, 9, 9, 8, 7, 6, 5, 4, 4, 3, 3, 3, 3, 3, 4, 4, 6, 7, 9, 11, 13, 14, 14, 14, 13, 11, 8, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 7, 8, 10, 12, 14, 15, 15, 14, 14, 17, 26, 44, 75, 120, 178, 246, 317, 383, 437, 472, 484, 470, 433, 376, 308, 237, 169, 112, 68, 38, 20, 11, 7, 5, 4, 4, 5, 6, 8, 10, 12, 12, 12, 11, 10, 9, 9, 9, 9, 9, 9, 8, 7, 7, 8, 10, 12, 14, 15, 16, 15, 15, 15, 16, 17, 19, 20, 20, 20, 19, 20, 22, 28, 40, 62, 95, 140, 197, 260, 323, 378, 418, 436, 432, 406, 362, 307, 247, 187, 133, 89, 56, 34, 22, 16, 15, 15, 16, 17, 18, 19, 22, 25, 27, 29, 29, 27, 24, 23, 25, 35, 55, 87, 133, 189, 251, 313, 367, 406, 427, 429, 414, 388, 359, 335, 324, 330, 352, 387, 427, 463, 486, 490, 471, 432, 377, 313, 246, 184, 130, 86, 54, 31, 16, 10, 11, 20, 38, 67, 107, 159, 220, 286, 351, 409, 452, 475, 474, 451, 407, 348, 282, 215, 155, 104, 66, 39, 24, 20, 27, 44, 71, 110, 159, 216, 276, 335, 385, 421, 435, 427, 397, 349, 290, 227, 168, 117, 76, 45, 24, 11, 3, 0, 0, 1, 3, 5, 5, 5, 4, 4, 4, 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, 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, 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, 2, 3, 3, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 4, 5, 6, 5, 4, 2, 1, 1, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 2, 1, 0, 0, 0, 2, 5, 8, 11, 12, 13, 13, 15, 22, 36, 59, 94, 139, 192, 250, 308, 358, 395, 414, 412, 390, 350, 299, 241, 185, 134, 92, 61, 40, 28, 25, 30, 44, 67, 101, 145, 198, 255, 311, 360, 395, 413, 409, 387, 347, 295, 237, 179, 126, 81, 47, 24, 10, 3, 0, 0, 1, 2, 3, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 4, 6, 7, 9, 13, 20, 32, 51, 78, 111, 148, 183, 212, 231, 237, 231, 214, 189, 160, 128, 98, 70, 46, 28, 15, 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, 2, 5, 11, 22, 39, 64, 97, 139, 185, 233, 277, 315, 342, 357, 360, 355, 344, 335, 330, 336, 353, 381, 417, 453, 483, 498, 494, 468, 423, 364, 298, 233, 175, 126, 89, 61, 42, 29, 23, 24, 32, 48, 74, 109, 152, 201, 251, 298, 335, 358, 365, 354, 327, 289, 244, 196, 152, 112, 79, 54, 35, 21, 13, 7, 4, 2, 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, 2, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3, 3, 2, 1, 0, 0, 1, 2, 3, 4, 4, 4, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 6, 8, 9, 10, 10, 9, 7, 5, 3, 2, 2, 3, 5, 6, 8, 8, 9, 9, 9, 9, 10, 11, 12, 13, 14, 14, 15, 15, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 30, 41, 60, 89, 130, 182, 243, 307, 368, 419, 456, 475, 477, 467, 448, 427, 407, 393, 388, 392, 405, 424, 446, 464, 474, 469, 447, 409, 358, 299, 240, 185, 138, 101, 75, 59, 53, 58, 73, 101, 142, 194, 257, 326, 395, 459, 512, 546, 557, 544, 508, 453, 384, 311, 239, 175, 121, 80, 51, 32, 21, 16, 15, 15, 16, 17, 18, 19, 19, 20, 22, 25, 31, 42, 58, 82, 113, 153, 200, 253, 310, 367, 419, 462, 491, 502, 496, 477, 450, 425, 406, 400, 406, 422, 443, 462, 474, 477, 470, 455, 434, 412, 393, 379, 373, 377, 388, 404, 421, 435, 441, 439, 430, 418, 409, 410, 423, 449, 485, 523, 557, 580, 587, 574, 542, 493, 432, 363, 292, 224, 166, 118, 84, 62, 52, 54, 67, 92, 129, 177, 232, 292, 349, 398, 434, 454, 458, 446, 419, 379, 329, 272, 214, 160, 113, 77, 52, 36, 28, 26, 28, 36, 51, 73, 103, 140, 181, 224, 265, 300, 325, 337, 336, 322, 295, 260, 220, 178, 138, 103, 72, 48, 30, 16, 7, 2, 0, 0, 0, 1, 3, 4, 5, 5, 4, 4, 5, 7, 12, 19, 30, 45, 64, 89, 118, 152, 186, 217, 241, 253, 254, 242, 221, 194, 165, 135, 108, 83, 62, 43, 29, 19, 16, 21, 33, 55, 85, 124, 169, 219, 269, 317, 358, 389, 406, 409, 396, 369, 330, 283, 231, 181, 135, 99, 73, 59, 57, 65, 81, 104, 135, 172, 215, 261, 307, 349, 382, 403, 410, 406, 397, 387, 384, 389, 405, 429, 458, 486, 508, 519, 516, 498, 464, 416, 358, 295, 232, 174, 125, 88, 62, 47, 41, 41, 46, 57, 74, 98, 131, 172, 220, 270, 317, 357, 385, 400, 403, 397, 388, 380, 375, 377, 384, 397, 414, 431, 446, 455, 453, 437, 407, 364, 311, 254, 199, 149, 108, 75, 49, 31, 17, 8, 3, 1, 1, 3, 4, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 5, 6, 7, 7, 7, 6, 5, 4, 3, 3, 4, 4, 4, 3, 3, 3, 6, 13, 24, 40, 61, 87, 118, 153, 193, 234, 273, 305, 326, 334, 327, 309, 280, 244, 205, 166, 127, 92, 62, 38, 20, 8, 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, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 3, 4, 4, 4, 3, 3, 3, 3, 5, 6, 8, 9, 10, 11, 11, 12, 14, 18, 25, 36, 53, 76, 107, 145, 188, 235, 282, 325, 360, 383, 393, 386, 366, 332, 290, 243, 196, 152, 114, 83, 59, 41, 29, 20, 14, 11, 8, 5, 3, 2, 1, 1, 1, 2, 3, 5, 6, 8, 8, 7, 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, 0, 0, 0, 1, 3, 9, 18, 32, 50, 73, 99, 127, 157, 187, 216, 242, 264, 280, 289, 295, 300, 309, 324, 347, 378, 412, 445, 473, 491, 498, 492, 475, 446, 406, 357, 300, 241, 184, 133, 92, 61, 40, 26, 16, 10, 5, 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, 4, 8, 13, 21, 31, 45, 63, 86, 113, 142, 170, 196, 216, 229, 234, 233, 225, 211, 191, 168, 142, 115, 89, 67, 48, 34, 23, 15, 9, 5, 2, 1, 0, 0, 0, 0, 0, 1, 3, 5, 7, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7, 5, 3, 1, 0, 0, 0, 1, 1, 2, 4, 6, 9, 13, 19, 28, 39, 55, 74, 99, 129, 162, 195, 227, 253, 272, 281, 280, 269, 250, 225, 196, 164, 132, 101, 73, 50, 31, 18, 9, 4, 2, 1, 1, 0, 0, 0, 1, 2, 4, 5, 5, 5, 4, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 3, 5, 7, 8, 10, 12, 17, 24, 35, 51, 71, 95, 123, 154, 186, 219, 251, 281, 304, 319, 324, 317, 300, 274, 242, 207, 171, 137, 106, 79, 56, 38, 25, 16, 10, 6, 4, 3, 2, 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, 1, 1, 2, 2, 2, 2, 2, 3, 3, 4, 5, 6, 7, 8, 9, 12, 16, 22, 31, 44, 61, 81, 106, 134, 166, 199, 233, 264, 290, 311, 326, 337, 345, 353, 363, 376, 391, 410, 430, 450, 470, 487, 500, 508, 509, 504, 495, 483, 470, 458, 449, 440, 433, 423, 411, 394, 371, 343, 311, 276, 239, 204, 170, 141, 118, 101, 92, 92, 102, 122, 150, 186, 228, 271, 313, 349, 377, 393, 398, 391, 373, 345, 310, 270, 227, 184, 143, 107, 77, 54, 38, 26, 19, 14, 11, 10, 8, 8, 8, 9, 10, 13, 18, 26, 37, 54, 75, 102, 132, 166, 201, 236, 271, 304, 334, 362, 383, 398, 405, 404, 398, 391, 388, 390, 400, 415, 431, 443, 448, 441, 424, 397, 364, 326, 286, 245, 204, 165, 130, 102, 83, 74, 74, 84, 100, 122, 150, 185, 226, 273, 323, 373, 418, 454, 478, 490, 490, 482, 468, 453, 439, 427, 418, 413, 409, 405, 399, 389, 373, 351, 324, 292, 257, 221, 187, 157, 132, 113, 102, 98, 103, 115, 135, 161, 194, 230, 269, 307, 339, 363, 376, 376, 364, 341, 312, 277, 241, 204, 169, 135, 104, 77, 55, 37, 25, 16, 10, 6, 3, 1, 0, 0, 1, 2, 3, 3, 2, 0, 0, 0, 2, 5, 8, 10, 12, 11, 11, 11, 13, 19, 29, 43, 61, 81, 104, 128, 152, 176, 199, 219, 235, 246, 249, 245, 234, 216, 193, 168, 142, 117, 94, 72, 54, 37, 23, 12, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 7, 13, 20, 31, 45, 63, 84, 109, 137, 168, 200, 234, 267, 298, 324, 343, 356, 361, 362, 360, 359, 361, 368, 378, 392, 407, 419, 427, 429, 426, 420, 413, 410, 410, 415, 422, 428, 431, 427, 419, 405, 388, 367, 341, 311, 276, 236, 194, 152, 113, 81, 55, 37, 25, 17, 12, 8, 5, 3, 1, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 5, 6, 9, 12, 18, 27, 38, 52, 71, 94, 121, 153, 187, 224, 260, 294, 323, 344, 358, 361, 353, 334, 306, 271, 233, 193, 156, 123, 94, 70, 51, 36, 25, 17, 12, 8, 5, 3, 1, 0, 0, 1, 4, 11, 20, 32, 46, 63, 82, 103, 128, 157, 187, 218, 248, 272, 289, 297, 294, 283, 264, 241, 215, 187, 160, 132, 105, 80, 58, 39, 24, 13, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 9, 12, 16, 23, 32, 44, 60, 80, 104, 130, 160, 191, 225, 259, 291, 320, 344, 362, 374, 380, 384, 387, 392, 398, 405, 414, 421, 427, 429, 428, 422, 409, 389, 361, 327, 287, 244, 202, 162, 127, 97, 73, 53, 37, 26, 17, 11, 7, 5, 3, 1, 0, 0, 0, 0, 0, 1, 1, 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, 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, 2, 2, 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, 2, 1, 0, 0, 0, 1, 2, 3, 3, 2, 2, 1, 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, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 2, 1, 0, 0, 0, 1, 2, 2, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 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, 1, 2, 3, 4, 4, 3, 2, 0, 0, 0, 1, 3, 5, 6, 7, 6, 4, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 3, 5, 8, 11, 13, 15, 17, 20, 24, 31, 41, 54, 70, 86, 104, 122, 140, 158, 177, 196, 212, 223, 229, 228, 221, 208, 192, 174, 157, 141, 126, 112, 100, 90, 84, 83, 88, 101, 120, 146, 176, 210, 244, 276, 305, 329, 347, 359, 365, 364, 357, 342, 321, 294, 264, 233, 204, 180, 164, 154, 152, 157, 167, 184, 205, 230, 259, 290, 321, 351, 377, 400, 417, 430, 437, 440, 440, 438, 437, 439, 443, 449, 456, 462, 465, 465, 461, 455, 448, 440, 433, 428, 426, 427, 432, 440, 449, 456, 460, 460, 455, 448, 440, 433, 428, 426, 424, 423, 419, 413, 404, 390, 373, 351, 326, 298, 269, 240, 214, 193, 175, 162, 152, 145, 143, 145, 154, 169, 190, 216, 243, 268, 289, 304, 313, 315, 311, 302, 288, 270, 248, 222, 194, 164, 136, 109, 86, 68, 54, 43, 36, 31, 27, 26, 26, 28, 32, 38, 47, 57, 69, 85, 104, 128, 156, 188, 224, 260, 298, 334, 368, 399, 425, 445, 459, 466, 467, 464, 458, 450, 442, 434, 426, 417, 409, 400, 391, 378, 362, 341, 315, 284, 251, 217, 183, 152, 123, 99, 78, 61, 47, 36, 28, 22, 17, 13, 10, 8, 6, 5, 4, 3, 2, 2, 3, 3, 4, 4, 3, 3, 2, 2, 2, 2, 2, 2, 1, 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, 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, 2, 4, 7, 11, 13, 15, 15, 15, 15, 16, 21, 30, 42, 59, 78, 98, 120, 142, 165, 190, 216, 243, 269, 293, 313, 326, 333, 331, 322, 305, 283, 257, 228, 199, 171, 144, 121, 100, 82, 65, 50, 38, 28, 21, 17, 14, 13, 13, 12, 12, 12, 13, 15, 16, 16, 14, 12, 10, 10, 13, 19, 28, 39, 50, 60, 72, 87, 106, 130, 159, 189, 217, 241, 259, 272, 280, 286, 290, 291, 287, 277, 260, 237, 211, 183, 158, 135, 114, 96, 80, 65, 53, 42, 34, 28, 25, 23, 23, 24, 27, 32, 39, 48, 59, 72, 89, 108, 131, 159, 190, 224, 258, 288, 312, 328, 335, 335, 328, 317, 302, 285, 265, 242, 216, 189, 162, 136, 112, 92, 75, 60, 48, 38, 29, 21, 15, 11, 8, 6, 5, 5, 4, 4, 4, 3, 4, 5, 6, 7, 8, 8, 7, 6, 5, 4, 4, 5, 6, 6, 6, 5, 3, 1, 0, 0, 0, 1, 3, 3, 3, 2, 0, 0, 0, 1, 3, 4, 5, 5, 5, 4, 3, 3, 3, 2, 2, 1, 1, 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, 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, 3, 3, 4, 5, 6, 6, 5, 4, 3, 3, 3, 5, 6, 6, 5, 4, 3, 3, 3, 4, 4, 5, 5, 4, 4, 4, 6, 9, 12, 16, 19, 23, 28, 34, 43, 53, 66, 81, 99, 119, 142, 167, 192, 218, 244, 268, 290, 307, 320, 325, 324, 317, 305, 290, 274, 258, 241, 224, 207, 193, 182, 178, 181, 192, 209, 231, 256, 282, 306, 329, 351, 370, 388, 404, 417, 428, 436, 441, 444, 443, 439, 432, 424, 414, 404, 393, 380, 364, 346, 323, 298, 270, 241, 213, 186, 160, 135, 112, 91, 73, 57, 45, 35, 28, 22, 18, 16, 14, 13, 13, 12, 12, 11, 10, 8, 7, 7, 7, 8, 9, 10, 12, 13, 13, 12, 12, 12, 13, 15, 18, 22, 27, 32, 38, 44, 52, 63, 76, 93, 112, 133, 154, 175, 196, 217, 237, 255, 271, 284, 292, 295, 292, 283, 269, 252, 234, 214, 194, 175, 156, 137, 119, 101, 84, 69, 55, 45, 36, 29, 24, 20, 17, 15, 14, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 15, 14, 12, 10, 9, 8, 9, 10, 13, 16, 18, 20, 21, 23, 25, 28, 32, 38, 46, 56, 69, 83, 99, 115, 130, 145, 159, 171, 182, 191, 198, 201, 200, 194, 185, 174, 160, 146, 131, 117, 102, 88, 75, 62, 51, 41, 33, 27, 22, 18, 14, 11, 8, 5, 4, 4, 5, 6, 7, 7, 7, 6, 4, 2, 1, 0, 0, 1, 2, 3, 5, 6, 8, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 10, 10, 11, 11, 10, 9, 8, 8, 7, 8, 10, 12, 14, 17, 19, 22, 26, 32, 39, 49, 62, 76, 92, 110, 130, 150, 171, 193, 215, 237, 259, 278, 295, 309, 318, 322, 321, 315, 304, 291, 276, 259, 243, 227, 213, 200, 190, 183, 182, 187, 199, 217, 238, 259, 279, 294, 305, 311, 315, 318, 318, 315, 308, 296, 279, 257, 232, 206, 182, 160, 140, 123, 106, 90, 75, 61, 49, 40, 34, 30, 29, 30, 32, 34, 37, 42, 49, 59, 70, 83, 96, 110, 123, 135, 145, 154, 162, 171, 179, 187, 193, 197, 197, 192, 182, 169, 153, 136, 119, 103, 89, 77, 65, 55, 46, 38, 31, 26, 22, 19, 17, 15, 14, 14, 13, 12, 11, 11, 10, 11, 12, 13, 14, 15, 16, 17, 19, 22, 25, 29, 34, 39, 44, 51, 59, 69, 80, 92, 105, 117, 129, 140, 149, 157, 162, 165, 164, 161, 155, 147, 138, 130, 121, 114, 106, 99, 91, 82, 72, 63, 55, 48, 44, 42, 43, 45, 50, 57, 66, 77, 90, 106, 122, 141, 162, 184, 209, 235, 261, 286, 308, 326, 340, 349, 354, 355, 350, 341, 327, 308, 286, 261, 237, 212, 189, 166, 143, 121, 100, 82, 66, 54, 45, 38, 32, 26, 21, 15, 10, 6, 4, 3, 3, 4, 5, 6, 6, 7, 6, 5, 4, 3, 2, 1, 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, 1, 2, 3, 5, 5, 5, 4, 2, 1, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 4, 3, 2, 0, 0, 0, 2, 5, 8, 11, 14, 15, 17, 20, 26, 34, 44, 55, 66, 75, 84, 93, 104, 117, 132, 148, 162, 174, 182, 186, 189, 191, 192, 191, 187, 181, 171, 159, 146, 132, 117, 104, 91, 78, 67, 57, 48, 41, 35, 29, 23, 17, 12, 8, 6, 5, 5, 5, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 6, 6, 5, 5, 5, 5, 6, 8, 11, 14, 18, 22, 26, 29, 33, 38, 45, 54, 66, 80, 97, 115, 134, 155, 177, 202, 228, 256, 284, 311, 335, 356, 373, 388, 402, 416, 430, 443, 454, 461, 463, 461, 454, 445, 436, 425, 415, 403, 391, 377, 362, 347, 331, 314, 297, 280, 263, 247, 234, 225, 219, 218, 219, 222, 228, 235, 245, 257, 272, 288, 305, 322, 339, 354, 368, 380, 391, 399, 406, 410, 413, 415, 416, 417, 416, 413, 408, 400, 389, 375, 359, 341, 322, 301, 280, 259, 238, 218, 198, 179, 160, 142, 124, 106, 90, 75, 63, 52, 43, 37, 32, 29, 27, 25, 23, 20, 18, 15, 13, 12, 13, 14, 17, 21, 25, 29, 33, 37, 41, 44, 47, 51, 57, 66, 79, 95, 112, 129, 143, 154, 161, 166, 170, 174, 179, 184, 188, 189, 187, 182, 174, 164, 153, 142, 132, 123, 114, 106, 98, 90, 82, 74, 68, 64, 61, 61, 65, 71, 79, 90, 103, 118, 135, 154, 175, 198, 223, 248, 272, 295, 315, 333, 348, 361, 372, 380, 384, 385, 382, 375, 365, 352, 337, 322, 306, 290, 277, 265, 256, 249, 244, 241, 241, 242, 245, 249, 253, 257, 260, 262, 262, 262, 260, 256, 249, 240, 228, 215, 201, 186, 172, 157, 143, 127, 112, 96, 81, 68, 57, 47, 40, 35, 31, 27, 22, 18, 13, 8, 5, 3, 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, 2, 4, 7, 10, 12, 15, 19, 25, 31, 38, 45, 53, 61, 69, 80, 94, 109, 127, 144, 160, 175, 187, 199, 210, 222, 234, 243, 250, 252, 251, 247, 240, 232, 223, 212, 200, 186, 172, 157, 142, 128, 114, 101, 87, 75, 63, 53, 46, 40, 36, 33, 30, 27, 24, 21, 18, 16, 15, 15, 16, 18, 21, 24, 27, 30, 32, 35, 38, 43, 51, 60, 70, 81, 90, 98, 106, 114, 124, 134, 145, 155, 162, 167, 170, 170, 169, 166, 163, 158, 151, 143, 133, 124, 114, 106, 97, 89, 80, 71, 63, 55, 48, 41, 36, 30, 25, 20, 15, 11, 8, 7, 6, 7, 7, 6, 5, 4, 2, 0, 0, 0, 0, 1, 2, 3, 4, 4, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 4, 6, 8, 9, 10, 10, 11, 13, 18, 25, 34, 42, 50, 56, 62, 69, 79, 93, 109, 128, 148, 166, 183, 199, 215, 233, 251, 270, 286, 299, 306, 310, 312, 314, 318, 324, 330, 335, 336, 333, 327, 319, 311, 304, 298, 291, 282, 270, 255, 238, 221, 206, 192, 179, 167, 155, 141, 128, 114, 102, 91, 81, 73, 66, 59, 52, 46, 41, 36, 33, 30, 27, 24, 21, 18, 15, 13, 11, 10, 10, 10, 10, 10, 10, 9, 8, 7, 6, 6, 6, 6, 6, 5, 5, 4, 3, 3, 2, 2, 2, 2, 2, 3, 4, 5, 5, 5, 5, 4, 3, 3, 2, 1, 1, 1, 2, 3, 5, 7, 8, 8, 7, 4, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 4, 7, 9, 10, 11, 10, 9, 8, 8, 10, 13, 16, 20, 25, 31, 38, 47, 57, 67, 77, 87, 97, 108, 122, 137, 154, 171, 186, 197, 205, 208, 209, 209, 209, 209, 207, 203, 195, 183, 168, 153, 137, 123, 112, 101, 91, 80, 70, 59, 49, 41, 35, 30, 27, 23, 21, 18, 16, 14, 13, 13, 13, 12, 11, 11, 10, 9, 9, 8, 8, 7, 6, 5, 4, 3, 3, 4, 5, 6, 7, 7, 7, 7, 10, 16, 29, 46, 66, 85, 98, 103, 98, 83, 64, 43, 26, 15, 10, 11, 13, 16, 18, 18, 17, 16, 15, 15, 16, 17, 17, 17, 16, 16, 15, 16, 16, 17, 18, 17, 16, 15, 14, 14, 14, 15, 16, 17, 16, 14, 13, 12, 11, 12, 13, 15, 16, 17, 16, 15, 14, 12, 11, 10, 10, 11, 11, 12, 12, 12, 12, 13, 13, 14, 14, 15, 15, 15, 15, 15, 15, 16, 17, 19, 21, 22, 23, 23, 22, 21, 20, 19, 19, 20, 22, 25, 27, 29, 29, 29, 28, 28, 29, 31, 33, 35, 38, 40, 43, 45, 47, 50, 52, 54, 56, 57, 58, 59, 60, 62, 65, 68, 70, 72, 73, 73, 72, 72, 73, 76, 80, 86, 91, 96, 99, 101, 100, 98, 95, 94, 95, 98, 103, 108, 113, 117, 118, 118, 118, 118, 118, 119, 122, 124, 127, 129, 130, 132, 133, 134, 135, 135, 135, 135, 135, 135, 136, 138, 142, 146, 149, 153, 156, 158, 160, 162, 165, 167, 169, 171, 171, 172, 173, 174, 175, 177, 179, 180, 182, 183, 185, 190, 195, 202, 208, 213, 215, 215, 212, 209, 207, 206, 207, 208, 209, 210, 210, 209, 209, 211, 213, 216, 218, 218, 214, 207, 199, 191, 184, 179, 176, 174, 173, 170, 167, 164, 160, 158, 156, 154, 154, 153, 153, 153, 153, 152, 151, 150, 149, 146, 144, 141, 139, 137, 135, 134, 132, 130, 127, 124, 120, 116, 112, 109, 107, 106, 107, 108, 108, 106, 103, 97, 92, 87, 84, 83, 83, 83, 83, 82, 79, 77, 74, 71, 70, 69, 70, 70, 71, 72, 73, 73, 72, 71, 68, 66, 62, 59, 57, 56, 55, 55, 55, 55, 54, 51, 48, 45, 42, 39, 36, 34, 32, 30, 29, 27, 27, 26, 25, 24, 22, 19, 16, 13, 11, 10, 11, 12, 14, 16, 16, 15, 14, 12, 11, 10, 10, 9, 9, 9, 8, 8, 8, 9, 9, 10, 9, 9, 8, 7, 7, 8, 9, 10, 11, 11, 10, 9, 7, 5, 4, 3, 3, 4, 5, 5, 4, 3, 1, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
"peakG": [28, 29, 31, 34, 39, 45, 51, 57, 61, 67, 74, 82, 90, 96, 101, 103, 105, 107, 109, 112, 114, 114, 113, 109, 103, 97, 91, 85, 81, 76, 72, 67, 62, 55, 49, 42, 35, 30, 27, 25, 25, 25, 26, 26, 27, 28, 29, 31, 33, 37, 41, 45, 50, 55, 60, 64, 67, 68, 68, 66, 63, 60, 57, 54, 52, 49, 46, 42, 38, 34, 31, 30, 29, 29, 29, 29, 30, 31, 34, 40, 48, 57, 67, 77, 86, 95, 104, 113, 121, 127, 132, 134, 133, 130, 126, 122, 118, 113, 105, 96, 83, 69, 56, 45, 36, 29, 25, 21, 17, 13, 9, 5, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 2, 3, 2, 2, 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, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 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, 1, 4, 12, 23, 39, 59, 82, 108, 134, 158, 177, 190, 194, 189, 176, 155, 130, 104, 79, 56, 38, 24, 14, 7, 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, 4, 13, 30, 57, 97, 149, 211, 279, 347, 406, 450, 472, 470, 445, 398, 337, 269, 199, 136, 85, 47, 23, 9, 2, 0, 0, 0, 10, 34, 71, 121, 176, 234, 291, 346, 400, 450, 492, 518, 520, 497, 455, 411, 383, 393, 451, 558, 701, 856, 996, 1095, 1136, 1113, 1030, 900, 742, 574, 413, 273, 162, 83, 33, 8, 0, 0, 0, 1, 3, 4, 5, 7, 8, 9, 8, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 6, 31, 80, 159, 267, 396, 532, 660, 761, 820, 829, 786, 697, 575, 437, 303, 186, 97, 40, 9, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 5, 5, 5, 4, 3, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 3, 3, 4, 3, 2, 0, 0, 5, 31, 84, 170, 288, 430, 579, 715, 816, 866, 855, 788, 681, 562, 460, 406, 419, 503, 646, 822, 995, 1130, 1197, 1182, 1085, 923, 721, 512, 324, 176, 76, 22, 0, 0, 0, 2, 1, 0, 0, 1, 6, 12, 17, 19, 19, 18, 17, 16, 14, 13, 11, 8, 5, 2, 1, 0, 1, 2, 4, 4, 4, 3, 2, 2, 3, 4, 4, 3, 1, 0, 0, 0, 2, 5, 3, 0, 0, 10, 60, 162, 324, 538, 782, 1020, 1210, 1318, 1324, 1225, 1038, 798, 545, 322, 162, 87, 104, 203, 363, 553, 738, 885, 968, 974, 903, 769, 597, 418, 257, 131, 50, 7, 0, 0, 4, 9, 6, 0, 0, 1, 41, 127, 265, 451, 668, 885, 1067, 1181, 1205, 1132, 977, 767, 539, 331, 168, 62, 10, 0, 0, 4, 6, 4, 0, 0, 0, 3, 9, 13, 15, 13, 10, 7, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 9, 10, 8, 3, 0, 0, 0, 4, 8, 6, 0, 0, 7, 65, 185, 372, 614, 876, 1112, 1275, 1333, 1272, 1108, 873, 615, 377, 192, 72, 13, 0, 0, 5, 7, 5, 0, 0, 0, 2, 5, 7, 6, 6, 6, 7, 9, 9, 8, 6, 3, 1, 1, 2, 4, 4, 2, 0, 0, 0, 2, 7, 9, 4, 0, 0, 23, 101, 241, 439, 673, 904, 1087, 1184, 1176, 1064, 873, 643, 417, 229, 98, 24, 0, 0, 1, 7, 7, 4, 0, 0, 0, 16, 58, 130, 234, 361, 494, 607, 677, 685, 627, 511, 363, 220, 123, 110, 206, 413, 712, 1058, 1390, 1645, 1769, 1734, 1545, 1241, 888, 562, 335, 255, 333, 548, 843, 1147, 1385, 1501, 1467, 1295, 1026, 729, 479, 340, 350, 507, 775, 1088, 1368, 1545, 1575, 1449, 1199, 885, 582, 362, 274, 335, 525, 792, 1069, 1286, 1390, 1359, 1201, 955, 673, 410, 205, 73, 10, 0, 0, 9, 12, 10, 7, 7, 11, 17, 21, 21, 18, 15, 15, 15, 13, 6, 0, 0, 22, 102, 249, 460, 713, 964, 1164, 1267, 1250, 1115, 894, 634, 387, 191, 65, 5, 0, 0, 10, 14, 11, 7, 7, 11, 18, 23, 23, 18, 9, 1, 0, 0, 3, 9, 8, 1, 0, 0, 40, 132, 281, 474, 682, 862, 974, 992, 911, 751, 549, 347, 181, 69, 11, 0, 0, 6, 8, 5, 0, 0, 2, 10, 16, 19, 18, 14, 10, 9, 11, 11, 8, 0, 0, 9, 56, 152, 300, 488, 686, 856, 958, 964, 866, 681, 453, 243, 118, 134, 319, 663, 1113, 1585, 1981, 2216, 2234, 2033, 1658, 1194, 742, 397, 221, 234, 409, 682, 973, 1202, 1312, 1278, 1115, 866, 588, 338, 153, 44, 0, 0, 5, 12, 10, 3, 0, 0, 7, 18, 27, 31, 29, 23, 16, 10, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 5, 7, 9, 10, 10, 9, 8, 7, 7, 7, 7, 7, 7, 6, 6, 5, 4, 3, 2, 1, 0, 1, 3, 5, 8, 11, 13, 14, 14, 12, 9, 6, 4, 1, 0, 0, 0, 1, 2, 4, 5, 6, 6, 6, 7, 7, 7, 7, 7, 6, 5, 4, 3, 4, 6, 8, 9, 10, 11, 11, 11, 11, 13, 14, 16, 17, 18, 18, 18, 18, 19, 19, 19, 19, 19, 18, 16, 14, 11, 8, 9, 12, 19, 26, 30, 30, 23, 15, 10, 11, 18, 22, 16, 0, 0, 5, 94, 283, 576, 940, 1310, 1604, 1750, 1710, 1493, 1155, 775, 433, 182, 40, 0, 0, 10, 21, 18, 6, 0, 0, 2, 11, 17, 18, 13, 7, 1, 0, 0, 1, 5, 9, 11, 12, 12, 11, 9, 6, 4, 2, 0, 0, 0, 3, 7, 11, 12, 9, 2, 0, 0, 2, 13, 19, 13, 0, 0, 14, 112, 301, 575, 895, 1194, 1402, 1464, 1365, 1130, 821, 507, 251, 84, 4, 0, 0, 14, 17, 9, 0, 0, 0, 9, 20, 27, 29, 25, 18, 11, 6, 3, 2, 3, 4, 5, 6, 6, 5, 4, 2, 0, 0, 0, 2, 3, 5, 6, 6, 6, 5, 4, 4, 3, 3, 2, 2, 1, 2, 2, 3, 4, 6, 7, 9, 10, 10, 11, 11, 12, 12, 13, 14, 14, 14, 14, 13, 12, 12, 12, 13, 14, 14, 14, 14, 12, 10, 8, 7, 6, 6, 8, 10, 13, 18, 21, 23, 22, 17, 10, 6, 5, 9, 14, 14, 6, 0, 0, 27, 115, 265, 466, 683, 868, 975, 975, 869, 683, 466, 264, 113, 26, 0, 0, 6, 13, 12, 6, 1, 1, 6, 13, 19, 21, 19, 16, 13, 12, 12, 13, 13, 12, 10, 7, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 2, 1, 0, 0, 0, 2, 4, 6, 7, 6, 4, 2, 0, 0, 0, 1, 3, 4, 6, 7, 7, 8, 8, 7, 7, 6, 5, 4, 3, 3, 3, 3, 4, 6, 8, 10, 12, 14, 14, 14, 14, 15, 16, 19, 23, 27, 30, 30, 28, 25, 20, 15, 11, 8, 6, 5, 5, 5, 6, 6, 7, 7, 7, 7, 8, 8, 9, 10, 11, 11, 11, 11, 9, 7, 5, 3, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 4, 6, 6, 7, 6, 5, 3, 1, 0, 0, 1, 3, 4, 3, 0, 0, 0, 0, 4, 10, 12, 5, 0, 0, 22, 101, 237, 419, 616, 781, 873, 865, 760, 586, 387, 209, 81, 12, 0, 0, 8, 14, 10, 3, 0, 0, 0, 3, 7, 7, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 10, 15, 15, 8, 0, 0, 0, 14, 34, 41, 24, 0, 0, 34, 226, 575, 1054, 1574, 2013, 2254, 2227, 1943, 1480, 960, 503, 183, 19, 0, 0, 25, 35, 24, 4, 0, 0, 3, 17, 24, 23, 16, 7, 1, 0, 1, 3, 5, 5, 5, 5, 7, 9, 9, 8, 5, 4, 8, 15, 21, 20, 7, 0, 0, 35, 147, 332, 569, 811, 997, 1077, 1029, 865, 632, 389, 188, 57, 0, 0, 2, 14, 17, 10, 1, 0, 2, 10, 19, 25, 26, 23, 19, 15, 12, 10, 8, 7, 6, 5, 4, 4, 3, 3, 2, 3, 4, 7, 11, 16, 20, 21, 18, 11, 3, 0, 2, 9, 14, 13, 2, 0, 0, 44, 149, 311, 505, 689, 814, 845, 773, 619, 426, 242, 102, 21, 0, 0, 6, 13, 11, 4, 0, 0, 0, 7, 13, 17, 16, 13, 9, 6, 7, 12, 16, 16, 8, 0, 0, 13, 78, 194, 351, 523, 668, 749, 743, 650, 498, 325, 171, 63, 6, 0, 0, 8, 13, 9, 2, 0, 0, 0, 4, 8, 10, 10, 7, 4, 1, 2, 7, 13, 16, 11, 0, 0, 0, 45, 140, 282, 448, 600, 698, 714, 643, 505, 340, 187, 74, 12, 0, 0, 2, 9, 12, 11, 7, 0, 0, 0, 19, 85, 199, 355, 524, 668, 751, 747, 659, 510, 339, 186, 77, 17, 0, 0, 0, 0, 0, 2, 11, 19, 17, 1, 0, 1, 85, 264, 535, 857, 1156, 1356, 1397, 1265, 992, 646, 310, 62, 0, 14, 222, 533, 875, 1166, 1333, 1334, 1173, 898, 584, 305, 109, 9, 0, 0, 17, 24, 16, 3, 0, 0, 1, 10, 16, 16, 12, 6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 5, 4, 2, 0, 0, 2, 8, 14, 13, 4, 0, 0, 28, 109, 239, 401, 560, 674, 712, 663, 540, 378, 219, 95, 22, 0, 0, 5, 12, 12, 5, 0, 0, 0, 2, 5, 6, 4, 2, 0, 0, 1, 3, 5, 5, 5, 3, 2, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 8, 10, 10, 9, 8, 6, 4, 3, 4, 5, 7, 9, 12, 14, 16, 18, 19, 19, 19, 16, 13, 8, 5, 2, 2, 3, 6, 9, 10, 10, 8, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 6, 7, 8, 8, 9, 10, 11, 11, 10, 9, 8, 7, 6, 6, 6, 6, 6, 5, 6, 8, 12, 16, 19, 18, 15, 14, 17, 26, 35, 36, 23, 0, 0, 13, 120, 324, 609, 924, 1194, 1342, 1319, 1121, 798, 435, 134, 0, 22, 257, 628, 1041, 1388, 1579, 1569, 1370, 1042, 676, 354, 130, 16, 0, 0, 16, 22, 17, 8, 5, 6, 5, 0, 0, 8, 75, 208, 403, 628, 830, 954, 965, 860, 667, 441, 234, 86, 8, 0, 0, 14, 22, 20, 11, 3, 1, 3, 9, 14, 18, 21, 23, 25, 27, 28, 27, 24, 18, 12, 6, 2, 0, 0, 3, 7, 12, 16, 18, 18, 16, 12, 9, 7, 7, 8, 11, 13, 14, 12, 9, 5, 2, 1, 3, 6, 12, 17, 22, 24, 24, 22, 18, 15, 14, 13, 13, 11, 8, 5, 7, 17, 32, 43, 39, 16, 0, 0, 47, 219, 504, 863, 1219, 1478, 1564, 1452, 1176, 816, 464, 194, 38, 0, 0, 15, 30, 27, 14, 1, 0, 2, 9, 14, 14, 9, 3, 0, 0, 4, 9, 14, 17, 18, 17, 14, 11, 8, 5, 4, 4, 3, 2, 1, 1, 1, 3, 5, 6, 4, 0, 0, 0, 0, 14, 28, 32, 19, 0, 0, 15, 130, 341, 627, 931, 1175, 1291, 1244, 1049, 763, 463, 216, 59, 0, 0, 6, 25, 31, 26, 19, 18, 23, 29, 33, 31, 25, 18, 14, 13, 16, 20, 23, 24, 22, 19, 14, 7, 1, 0, 0, 2, 13, 22, 22, 10, 0, 0, 28, 136, 317, 549, 784, 960, 1029, 969, 799, 567, 334, 149, 35, 0, 0, 9, 26, 34, 34, 32, 31, 33, 34, 33, 29, 21, 13, 6, 1, 2, 8, 17, 24, 23, 11, 0, 0, 21, 112, 266, 465, 665, 814, 870, 816, 667, 467, 269, 114, 23, 0, 0, 12, 29, 40, 46, 46, 37, 15, 0, 0, 28, 160, 387, 683, 985, 1214, 1304, 1228, 1006, 700, 386, 135, 0, 0, 57, 222, 426, 620, 761, 815, 770, 640, 460, 275, 125, 32, 0, 0, 19, 41, 52, 54, 47, 34, 17, 0, 0, 3, 64, 180, 345, 529, 690, 784, 784, 689, 527, 341, 174, 57, 0, 0, 10, 36, 54, 60, 55, 45, 34, 27, 23, 21, 19, 18, 15, 12, 9, 7, 7, 9, 13, 16, 16, 12, 6, 1, 2, 10, 20, 24, 16, 0, 0, 12, 104, 278, 519, 779, 996, 1107, 1077, 910, 647, 354, 107, 0, 0, 169, 487, 876, 1245, 1497, 1562, 1417, 1100, 701, 334, 100, 53, 187, 437, 709, 910, 980, 909, 729, 496, 270, 92, 0, 0, 34, 188, 416, 682, 928, 1093, 1127, 1019, 799, 530, 280, 100, 6, 0, 0, 16, 24, 18, 5, 0, 0, 0, 7, 12, 12, 9, 4, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 4, 5, 7, 9, 11, 13, 15, 16, 17, 17, 17, 16, 14, 12, 10, 9, 8, 8, 9, 11, 13, 16, 19, 23, 29, 36, 43, 49, 52, 50, 44, 34, 23, 14, 7, 6, 9, 16, 25, 33, 37, 38, 34, 27, 19, 11, 5, 3, 3, 6, 11, 14, 16, 16, 13, 8, 3, 0, 0, 1, 6, 14, 21, 25, 27, 24, 18, 10, 3, 0, 0, 4, 13, 24, 32, 36, 36, 33, 31, 29, 25, 15, 0, 0, 0, 49, 154, 310, 490, 653, 754, 764, 679, 525, 344, 181, 65, 5, 0, 0, 11, 18, 16, 12, 10, 14, 24, 36, 44, 45, 37, 23, 8, 0, 0, 9, 21, 24, 12, 0, 0, 29, 148, 350, 609, 867, 1056, 1121, 1041, 836, 561, 283, 66, 0, 0, 154, 432, 768, 1087, 1308, 1372, 1262, 1011, 692, 386, 158, 29, 0, 0, 5, 15, 16, 15, 16, 13, 2, 0, 0, 39, 177, 412, 713, 1014, 1234, 1307, 1211, 974, 667, 371, 147, 22, 0, 0, 15, 27, 22, 9, 0, 0, 3, 13, 19, 19, 14, 7, 1, 0, 0, 0, 1, 3, 5, 6, 6, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 3, 3, 2, 0, 0, 0, 0, 4, 9, 10, 4, 0, 0, 16, 74, 168, 287, 405, 489, 517, 480, 388, 262, 133, 28, 0, 0, 95, 275, 505, 739, 919, 995, 946, 785, 561, 331, 147, 34, 0, 0, 7, 18, 17, 9, 2, 2, 9, 18, 25, 26, 22, 14, 8, 5, 5, 9, 15, 20, 22, 22, 20, 15, 10, 6, 6, 9, 15, 23, 30, 35, 35, 30, 23, 14, 6, 0, 0, 0, 5, 14, 23, 31, 35, 33, 26, 17, 10, 8, 11, 14, 11, 1, 0, 0, 42, 138, 283, 455, 613, 715, 732, 659, 517, 347, 190, 76, 13, 0, 0, 5, 10, 12, 15, 18, 19, 11, 0, 0, 14, 105, 275, 514, 777, 1004, 1132, 1125, 985, 752, 488, 254, 90, 7, 0, 0, 18, 27, 26, 20, 19, 26, 39, 52, 61, 61, 54, 42, 29, 18, 9, 5, 5, 7, 10, 14, 16, 16, 15, 12, 10, 10, 12, 16, 20, 24, 24, 22, 16, 10, 5, 1, 0, 0, 1, 4, 9, 13, 15, 16, 13, 7, 1, 0, 0, 2, 9, 11, 7, 0, 0, 8, 61, 158, 287, 423, 531, 578, 552, 460, 329, 196, 89, 23, 0, 0, 0, 3, 2, 0, 2, 5, 6, 0, 0, 0, 27, 103, 224, 371, 510, 603, 621, 559, 437, 289, 153, 56, 5, 0, 0, 8, 12, 8, 2, 0, 0, 0, 2, 4, 5, 4, 1, 0, 0, 0, 1, 5, 9, 12, 14, 14, 12, 9, 5, 1, 0, 0, 1, 8, 17, 27, 34, 34, 27, 15, 7, 7, 17, 30, 33, 18, 0, 0, 24, 164, 413, 743, 1086, 1351, 1462, 1386, 1146, 813, 475, 207, 45, 0, 0, 15, 34, 35, 21, 6, 0, 0, 9, 18, 24, 23, 18, 11, 5, 1, 0, 2, 5, 11, 17, 22, 27, 29, 28, 26, 22, 19, 17, 18, 22, 28, 35, 41, 45, 47, 46, 42, 36, 29, 21, 15, 10, 7, 5, 4, 4, 3, 3, 2, 1, 0, 0, 0, 1, 5, 11, 18, 25, 30, 31, 29, 23, 16, 8, 2, 0, 0, 3, 9, 15, 20, 23, 24, 24, 23, 21, 16, 6, 0, 0, 12, 63, 149, 261, 374, 459, 492, 463, 380, 267, 154, 66, 14, 0, 0, 7, 16, 22, 25, 25, 21, 10, 0, 0, 12, 86, 221, 405, 602, 762, 840, 812, 687, 500, 302, 139, 36, 0, 0, 5, 17, 18, 10, 0, 0, 0, 5, 14, 19, 19, 13, 5, 0, 0, 3, 9, 12, 8, 0, 0, 9, 62, 159, 290, 429, 541, 593, 567, 467, 314, 149, 17, 0, 16, 188, 455, 764, 1041, 1212, 1230, 1092, 840, 545, 280, 95, 2, 0, 0, 20, 28, 20, 8, 0, 1, 10, 21, 27, 25, 18, 8, 1, 1, 7, 15, 18, 11, 0, 0, 4, 61, 169, 317, 474, 601, 660, 633, 530, 380, 226, 102, 25, 0, 0, 2, 7, 7, 3, 2, 2, 1, 0, 0, 0, 30, 96, 198, 318, 430, 503, 515, 462, 359, 236, 124, 44, 3, 0, 0, 7, 10, 6, 0, 0, 0, 7, 15, 20, 21, 17, 11, 5, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 4, 6, 6, 4, 0, 0, 0, 3, 8, 9, 4, 0, 0, 14, 70, 164, 287, 413, 509, 546, 515, 424, 300, 176, 78, 19, 0, 0, 0, 2, 5, 6, 8, 8, 1, 0, 0, 22, 98, 229, 398, 571, 703, 756, 714, 590, 419, 246, 109, 26, 0, 0, 5, 13, 13, 6, 0, 0, 0, 0, 2, 4, 4, 2, 1, 0, 0, 0, 2, 6, 12, 18, 23, 25, 24, 19, 13, 7, 3, 0, 0, 0, 0, 2, 3, 4, 4, 4, 3, 2, 2, 2, 3, 5, 7, 7, 5, 1, 0, 0, 0, 7, 14, 14, 5, 0, 0, 27, 105, 230, 384, 531, 633, 660, 602, 473, 305, 137, 13, 0, 13, 160, 385, 642, 872, 1014, 1030, 917, 708, 463, 242, 85, 5, 0, 0, 14, 21, 15, 4, 0, 0, 0, 4, 10, 13, 12, 7, 0, 0, 0, 2, 14, 23, 21, 5, 0, 0, 55, 197, 420, 688, 941, 1111, 1148, 1042, 824, 556, 305, 121, 19, 0, 0, 9, 17, 15, 9, 4, 0, 0, 0, 0, 23, 87, 194, 333, 474, 582, 627, 594, 494, 356, 214, 100, 28, 0, 0, 2, 9, 9, 4, 0, 0, 1, 10, 20, 28, 32, 30, 25, 17, 9, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 6, 6, 5, 3, 1, 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, 1, 2, 4, 6, 7, 6, 5, 3, 1, 0, 0, 0, 2, 4, 6, 6, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 5, 2, 0, 0, 0, 3, 13, 21, 17, 3, 0, 0, 53, 181, 376, 605, 814, 947, 963, 859, 664, 435, 227, 80, 5, 0, 0, 13, 19, 13, 3, 0, 0, 6, 15, 21, 22, 18, 13, 8, 6, 5, 7, 9, 10, 11, 10, 8, 5, 5, 9, 15, 22, 22, 13, 0, 0, 10, 82, 214, 396, 592, 758, 848, 837, 727, 551, 355, 183, 63, 3, 0, 0, 15, 25, 28, 26, 22, 13, 2, 0, 0, 35, 114, 234, 378, 513, 602, 619, 553, 418, 249, 90, 0, 0, 103, 325, 615, 908, 1131, 1223, 1158, 949, 650, 338, 93, 0, 13, 193, 468, 766, 1009, 1133, 1106, 934, 663, 365, 117, 0, 1, 164, 429, 727, 978, 1116, 1107, 960, 722, 459, 230, 76, 1, 0, 2, 21, 27, 21, 9, 0, 0, 0, 3, 6, 8, 9, 11, 14, 17, 18, 17, 14, 10, 7, 6, 7, 8, 6, 3, 3, 9, 22, 36, 40, 25, 0, 0, 8, 134, 374, 709, 1074, 1380, 1539, 1506, 1291, 957, 595, 289, 88, 0, 0, 3, 25, 33, 31, 26, 24, 20, 8, 0, 0, 32, 151, 355, 618, 883, 1080, 1151, 1074, 873, 608, 348, 149, 33, 0, 0, 2, 10, 10, 10, 13, 15, 9, 0, 0, 12, 110, 299, 562, 851, 1093, 1220, 1194, 1018, 741, 432, 167, 1, 0, 55, 248, 496, 738, 914, 982, 924, 762, 540, 317, 141, 34, 0, 0, 8, 19, 19, 10, 0, 0, 0, 2, 9, 15, 19, 21, 22, 21, 19, 15, 10, 5, 2, 0, 0, 0, 2, 5, 9, 12, 15, 15, 12, 8, 4, 0, 0, 1, 6, 12, 18, 23, 23, 21, 17, 11, 6, 1, 0, 0, 0, 4, 9, 14, 17, 19, 17, 12, 7, 2, 0, 0, 0, 3, 7, 9, 11, 11, 9, 6, 3, 0, 0, 2, 6, 11, 17, 20, 21, 19, 15, 11, 6, 3, 0, 0, 1, 6, 16, 28, 37, 36, 23, 0, 0, 3, 76, 216, 410, 622, 797, 889, 869, 745, 552, 343, 166, 50, 0, 0, 4, 19, 26, 25, 21, 18, 15, 8, 0, 0, 11, 60, 149, 271, 403, 513, 570, 555, 467, 326, 169, 37, 0, 6, 146, 376, 653, 914, 1093, 1145, 1058, 858, 602, 352, 158, 40, 0, 0, 1, 17, 27, 31, 28, 17, 0, 0, 0, 73, 229, 461, 731, 976, 1130, 1144, 1012, 768, 475, 206, 23, 0, 28, 200, 433, 667, 845, 921, 880, 736, 532, 320, 148, 39, 0, 0, 9, 27, 36, 38, 37, 36, 37, 39, 38, 36, 31, 26, 22, 19, 17, 15, 12, 9, 5, 3, 1, 1, 2, 5, 9, 12, 15, 15, 14, 12, 9, 6, 6, 8, 13, 19, 24, 28, 30, 30, 28, 26, 25, 24, 23, 21, 18, 17, 20, 28, 35, 35, 21, 0, 0, 4, 92, 261, 497, 754, 968, 1079, 1052, 898, 660, 405, 192, 54, 0, 0, 4, 20, 23, 17, 8, 3, 5, 10, 14, 14, 11, 6, 3, 5, 12, 23, 35, 41, 36, 19, 0, 0, 12, 93, 236, 425, 622, 776, 844, 806, 674, 485, 290, 132, 33, 0, 0, 6, 18, 20, 15, 7, 2, 2, 3, 5, 5, 3, 1, 1, 4, 9, 16, 22, 24, 22, 17, 10, 4, 0, 0, 0, 1, 3, 4, 5, 5, 5, 4, 4, 2, 0, 0, 0, 0, 6, 14, 19, 16, 6, 0, 0, 24, 90, 194, 321, 442, 526, 549, 504, 404, 278, 156, 64, 12, 0, 0, 4, 11, 13, 13, 16, 22, 29, 35, 35, 31, 22, 13, 5, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 7, 14, 22, 30, 34, 36, 33, 27, 20, 13, 9, 8, 9, 12, 15, 16, 16, 14, 11, 8, 7, 8, 12, 18, 22, 22, 15, 3, 0, 0, 34, 106, 212, 334, 447, 521, 537, 490, 394, 274, 159, 70, 18, 0, 0, 3, 8, 9, 10, 12, 15, 14, 6, 0, 0, 18, 84, 198, 345, 495, 608, 652, 614, 506, 358, 210, 94, 24, 0, 0, 0, 3, 4, 5, 8, 9, 5, 0, 0, 7, 72, 195, 367, 555, 714, 799, 785, 676, 505, 318, 158, 51, 0, 0, 0, 10, 12, 7, 0, 0, 1, 8, 14, 16, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 14, 9, 3, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 3, 8, 13, 13, 8, 0, 0, 4, 45, 122, 228, 345, 444, 499, 494, 432, 329, 213, 111, 40, 4, 0, 0, 6, 8, 6, 1, 0, 0, 0, 2, 5, 4, 2, 0, 0, 0, 3, 9, 13, 11, 2, 0, 0, 26, 91, 190, 307, 415, 484, 494, 442, 343, 225, 117, 41, 2, 0, 0, 6, 10, 8, 4, 3, 7, 12, 18, 20, 19, 14, 10, 5, 3, 1, 0, 0, 0, 0, 3, 5, 6, 4, 0, 0, 0, 0, 12, 23, 24, 10, 0, 0, 36, 165, 381, 658, 936, 1144, 1222, 1149, 945, 670, 393, 175, 43, 0, 0, 7, 20, 20, 10, 0, 0, 0, 0, 4, 6, 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, 2, 4, 6, 7, 7, 6, 4, 1, 0, 0, 1, 3, 4, 4, 3, 4, 6, 10, 12, 10, 3, 0, 0, 23, 81, 173, 287, 400, 483, 513, 479, 387, 258, 123, 18, 0, 17, 146, 345, 577, 788, 926, 954, 867, 690, 473, 267, 112, 23, 0, 0, 8, 16, 14, 6, 0, 0, 0, 1, 4, 6, 5, 4, 2, 1, 0, 0, 0, 1, 4, 6, 8, 7, 4, 0, 0, 4, 13, 21, 21, 9, 0, 0, 32, 143, 329, 568, 811, 999, 1079, 1026, 853, 604, 341, 126, 0, 0, 59, 207, 381, 539, 642, 667, 611, 492, 343, 200, 89, 23, 0, 0, 5, 12, 14, 12, 11, 13, 17, 21, 23, 22, 18, 13, 11, 11, 14, 19, 23, 26, 27, 26, 24, 20, 17, 15, 15, 15, 15, 15, 15, 15, 13, 11, 9, 7, 6, 7, 9, 11, 13, 15, 15, 15, 13, 11, 10, 9, 8, 7, 6, 5, 3, 2, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 6, 7, 6, 5, 2, 1, 0, 0, 1, 3, 5, 7, 9, 9, 8, 6, 4, 2, 1, 0, 0, 0, 0, 0, 1, 2, 3, 4, 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, 1, 4, 7, 10, 13, 13, 13, 11, 8, 6, 5, 4, 5, 5, 5, 5, 5, 4, 4, 4, 3, 4, 5, 6, 9, 11, 12, 12, 11, 8, 4, 2, 2, 3, 6, 9, 12, 12, 12, 12, 12, 13, 15, 15, 15, 14, 13, 14, 16, 17, 14, 5, 0, 0, 24, 95, 211, 359, 510, 626, 677, 647, 546, 401, 249, 122, 39, 0, 0, 0, 9, 12, 10, 6, 4, 7, 12, 17, 20, 19, 17, 14, 11, 9, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 8, 8, 6, 3, 1, 0, 0, 1, 2, 2, 1, 0, 1, 3, 6, 8, 6, 2, 0, 0, 4, 15, 22, 19, 3, 0, 0, 62, 208, 433, 701, 955, 1129, 1173, 1077, 867, 603, 347, 152, 36, 0, 0, 7, 17, 16, 7, 0, 0, 0, 0, 4, 6, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 8, 9, 9, 8, 7, 7, 7, 8, 9, 9, 8, 7, 5, 4, 4, 5, 6, 9, 10, 10, 10, 9, 7, 6, 5, 4, 4, 4, 3, 2, 1, 0, 1, 4, 8, 12, 14, 13, 9, 5, 4, 7, 13, 17, 13, 0, 0, 0, 53, 167, 336, 535, 721, 846, 875, 801, 645, 450, 261, 115, 28, 0, 0, 6, 17, 20, 17, 12, 6, 1, 0, 0, 11, 46, 106, 190, 283, 367, 419, 427, 387, 310, 215, 125, 55, 13, 0, 0, 2, 8, 10, 10, 10, 11, 14, 18, 20, 19, 16, 12, 8, 6, 7, 10, 12, 10, 3, 0, 0, 17, 69, 154, 262, 371, 457, 495, 475, 404, 300, 190, 97, 33, 2, 0, 0, 6, 9, 6, 2, 0, 0, 0, 3, 7, 9, 9, 10, 10, 10, 11, 12, 12, 11, 9, 7, 6, 6, 8, 10, 13, 14, 13, 12, 9, 7, 5, 5, 6, 7, 8, 10, 11, 12, 13, 13, 13, 11, 9, 7, 6, 6, 6, 7, 8, 6, 4, 2, 1, 2, 5, 8, 8, 6, 3, 2, 5, 12, 19, 18, 6, 0, 0, 36, 146, 327, 559, 796, 980, 1061, 1016, 855, 620, 368, 154, 18, 0, 22, 138, 293, 449, 572, 636, 626, 548, 422, 281, 154, 62, 12, 0, 0, 5, 8, 6, 2, 0, 4, 11, 20, 27, 29, 28, 25, 21, 17, 16, 16, 16, 16, 15, 14, 12, 11, 10, 10, 10, 10, 9, 8, 7, 5, 3, 2, 1, 0, 0, 0, 1, 2, 4, 5, 5, 6, 6, 7, 8, 9, 11, 11, 10, 9, 6, 3, 1, 0, 0, 0, 3, 5, 8, 10, 12, 11, 10, 7, 5, 3, 2, 3, 5, 8, 10, 12, 12, 10, 8, 5, 3, 2, 2, 4, 5, 7, 9, 10, 10, 10, 9, 7, 6, 5, 4, 5, 8, 12, 16, 20, 22, 23, 22, 19, 15, 12, 8, 6, 5, 5, 5, 6, 6, 7, 7, 6, 6, 6, 6, 7, 9, 12, 15, 19, 22, 24, 23, 21, 17, 13, 10, 8, 8, 8, 8, 8, 7, 6, 4, 2, 0, 0, 0, 0, 0, 2, 4, 7, 9, 11, 11, 10, 8, 7, 5, 5, 5, 5, 6, 6, 5, 5, 3, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 4, 6, 4, 0, 0, 1, 23, 66, 131, 205, 273, 318, 328, 299, 241, 169, 100, 46, 13, 0, 0, 0, 0, 3, 6, 7, 5, 0, 0, 1, 35, 107, 216, 350, 481, 578, 615, 582, 489, 360, 226, 113, 39, 2, 0, 0, 7, 10, 9, 6, 5, 7, 11, 15, 17, 16, 14, 12, 9, 7, 5, 4, 2, 2, 1, 1, 3, 5, 8, 11, 12, 13, 11, 8, 5, 3, 2, 3, 5, 5, 4, 3, 3, 6, 11, 13, 9, 0, 0, 0, 44, 135, 272, 436, 593, 705, 742, 693, 572, 411, 250, 119, 35, 0, 0, 1, 9, 10, 6, 1, 0, 1, 5, 9, 11, 10, 7, 5, 3, 3, 3, 4, 3, 2, 1, 0, 0, 0, 1, 3, 5, 7, 7, 7, 7, 7, 7, 6, 4, 2, 0, 3, 9, 16, 18, 11, 0, 0, 13, 88, 230, 428, 650, 848, 972, 986, 884, 692, 458, 237, 80, 15, 43, 145, 281, 410, 498, 523, 485, 397, 285, 175, 87, 31, 4, 0, 0, 2, 4, 4, 5, 6, 5, 1, 0, 0, 25, 88, 190, 321, 457, 567, 623, 609, 529, 404, 265, 143, 56, 9, 0, 0, 5, 8, 6, 1, 0, 0, 0, 2, 5, 6, 5, 4, 3, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 5, 9, 13, 17, 19, 20, 19, 16, 13, 10, 8, 8, 8, 9, 11, 12, 13, 12, 12, 11, 10, 10, 9, 8, 7, 6, 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, 2, 4, 7, 8, 8, 7, 8, 11, 15, 17, 12, 1, 0, 0, 43, 140, 290, 475, 657, 795, 852, 815, 693, 519, 335, 178, 69, 11, 0, 0, 5, 14, 18, 17, 10, 0, 0, 0, 48, 150, 310, 512, 720, 890, 977, 958, 834, 632, 401, 193, 55, 18, 85, 238, 437, 634, 781, 844, 812, 696, 527, 346, 188, 76, 16, 0, 0, 6, 9, 6, 1, 0, 0, 2, 8, 13, 15, 14, 12, 9, 6, 4, 2, 1, 0, 0, 0, 0, 1, 2, 4, 6, 7, 7, 7, 6, 5, 3, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 8, 9, 10, 9, 7, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 6, 8, 9, 10, 11, 11, 10, 9, 7, 5, 4, 5, 6, 8, 10, 11, 11, 9, 7, 5, 4, 4, 5, 8, 10, 12, 13, 13, 13, 13, 13, 12, 12, 11, 11, 11, 11, 11, 12, 12, 12, 11, 10, 8, 7, 6, 6, 6, 5, 5, 4, 2, 1, 0, 1, 3, 6, 10, 14, 17, 20, 21, 21, 20, 19, 16, 14, 11, 8, 6, 6, 7, 8, 9, 9, 9, 7, 5, 3, 3, 3, 4, 6, 9, 11, 12, 13, 12, 11, 9, 7, 5, 4, 3, 3, 3, 2, 1, 0, 1, 2, 4, 6, 6, 4, 2, 2, 5, 10, 13, 11, 2, 0, 0, 38, 128, 270, 450, 634, 781, 855, 838, 733, 569, 384, 216, 93, 23, 0, 0, 4, 9, 7, 2, 0, 0, 4, 12, 19, 23, 23, 19, 13, 8, 7, 9, 12, 11, 5, 0, 0, 14, 72, 173, 311, 463, 596, 679, 690, 627, 506, 359, 216, 104, 33, 1, 0, 0, 6, 7, 3, 0, 0, 0, 0, 4, 6, 7, 8, 8, 8, 8, 9, 9, 8, 7, 6, 5, 5, 5, 5, 6, 7, 7, 7, 6, 5, 4, 2, 1, 0, 0, 1, 3, 6, 9, 11, 12, 12, 9, 6, 4, 2, 2, 3, 4, 5, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 7, 7, 6, 5, 3, 2, 3, 5, 8, 12, 15, 16, 16, 15, 13, 10, 8, 7, 7, 9, 11, 13, 11, 6, 0, 0, 7, 41, 106, 198, 306, 410, 485, 513, 486, 407, 294, 176, 81, 33, 47, 120, 237, 370, 487, 561, 576, 530, 436, 318, 200, 104, 40, 7, 0, 0, 3, 6, 6, 7, 10, 15, 22, 27, 30, 29, 27, 23, 19, 15, 13, 11, 11, 10, 10, 10, 10, 10, 11, 11, 13, 14, 16, 17, 17, 17, 16, 13, 10, 7, 6, 6, 10, 13, 14, 9, 0, 0, 5, 49, 136, 266, 421, 574, 692, 746, 723, 631, 490, 333, 192, 87, 24, 0, 0, 2, 6, 5, 1, 0, 0, 2, 8, 14, 17, 18, 17, 14, 12, 10, 10, 10, 11, 12, 13, 14, 15, 16, 17, 17, 16, 14, 11, 8, 6, 5, 5, 6, 6, 6, 4, 4, 5, 9, 12, 12, 6, 0, 0, 15, 73, 176, 320, 484, 635, 741, 775, 729, 615, 461, 300, 163, 67, 14, 0, 0, 4, 7, 6, 4, 2, 4, 9, 14, 17, 18, 18, 16, 15, 16, 17, 19, 20, 21, 19, 17, 13, 9, 6, 4, 3, 3, 4, 4, 4, 3, 3, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 4, 6, 7, 8, 9, 9, 9, 9, 9, 9, 10, 12, 13, 15, 17, 18, 20, 22, 23, 21, 16, 8, 0, 0, 10, 51, 122, 221, 336, 445, 527, 563, 544, 476, 374, 260, 156, 75, 25, 2, 0, 0, 3, 4, 2, 1, 1, 4, 8, 12, 15, 18, 19, 19, 19, 17, 15, 12, 8, 6, 5, 5, 7, 10, 13, 14, 14, 12, 10, 7, 4, 3, 1, 1, 0, 0, 1, 2, 3, 5, 7, 9, 11, 12, 12, 11, 10, 9, 7, 7, 6, 5, 5, 4, 3, 1, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 1, 1, 2, 4, 6, 7, 9, 9, 7, 4, 0, 0, 4, 25, 64, 122, 194, 266, 323, 352, 345, 303, 236, 160, 91, 39, 9, 0, 0, 1, 4, 5, 6, 8, 11, 15, 17, 17, 14, 10, 7, 5, 4, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 6, 7, 7, 7, 5, 4, 3, 3, 3, 5, 6, 8, 10, 12, 13, 11, 8, 4, 2, 2, 5, 10, 12, 7, 0, 0, 13, 77, 196, 367, 567, 759, 901, 958, 918, 789, 605, 404, 228, 99, 25, 0, 0, 3, 8, 7, 2, 0, 0, 0, 1, 3, 4, 3, 3, 2, 2, 3, 5, 6, 6, 6, 5, 4, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 7, 9, 9, 10, 9, 8, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 6, 7, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 7, 8, 8, 8, 7, 6, 4, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 3, 1, 0, 0, 1, 3, 3, 0, 0, 0, 16, 53, 116, 202, 301, 397, 469, 502, 486, 423, 326, 217, 122, 67, 70, 134, 250, 392, 529, 629, 669, 640, 553, 428, 291, 170, 79, 24, 0, 0, 0, 5, 6, 4, 0, 0, 0, 12, 48, 110, 200, 309, 421, 515, 572, 578, 530, 440, 326, 210, 113, 46, 10, 0, 0, 2, 4, 3, 0, 0, 0, 0, 1, 3, 4, 4, 5, 5, 7, 8, 9, 9, 9, 8, 7, 5, 4, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 4, 7, 11, 14, 16, 16, 14, 12, 8, 6, 4, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 8, 11, 12, 12, 11, 9, 7, 6, 5, 5, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 6, 8, 9, 9, 9, 9, 8, 6, 4, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 4, 5, 7, 7, 6, 4, 3, 3, 6, 9, 11, 8, 0, 0, 5, 49, 140, 280, 457, 644, 804, 903, 918, 845, 701, 518, 337, 196, 123, 131, 214, 351, 507, 648, 741, 765, 717, 607, 462, 309, 177, 80, 23, 0, 0, 1, 4, 4, 1, 0, 0, 0, 3, 5, 5, 5, 4, 4, 5, 6, 8, 9, 10, 9, 7, 6, 4, 4, 4, 6, 8, 10, 12, 13, 13, 11, 9, 8, 7, 8, 9, 11, 14, 15, 17, 19, 20, 20, 18, 14, 10, 7, 6, 7, 8, 5, 0, 0, 4, 41, 119, 241, 398, 568, 718, 817, 842, 788, 666, 504, 339, 207, 135, 135, 200, 311, 438, 548, 617, 628, 581, 488, 368, 246, 141, 65, 20, 1, 0, 0, 4, 5, 6, 8, 11, 14, 16, 17, 15, 13, 11, 11, 12, 15, 18, 21, 22, 22, 20, 15, 10, 6, 4, 6, 10, 11, 7, 0, 0, 5, 51, 145, 285, 458, 635, 781, 866, 870, 795, 659, 491, 323, 181, 81, 24, 0, 0, 0, 4, 5, 6, 7, 11, 16, 20, 22, 20, 16, 11, 7, 4, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 6, 7, 8, 9, 9, 9, 8, 6, 4, 2, 1, 1, 1, 2, 3, 4, 4, 4, 4, 3, 2, 1, 1, 1, 3, 5, 8, 11, 14, 15, 16, 14, 11, 8, 6, 5, 4, 4, 3, 0, 0, 1, 17, 51, 107, 179, 257, 328, 376, 391, 369, 316, 243, 166, 98, 47, 15, 0, 0, 0, 2, 5, 6, 3, 0, 0, 8, 49, 127, 244, 388, 538, 663, 738, 745, 685, 571, 429, 290, 183, 128, 131, 186, 275, 374, 457, 506, 509, 467, 389, 292, 195, 111, 51, 16, 0, 0, 0, 2, 2, 2, 2, 5, 9, 13, 17, 19, 20, 18, 16, 14, 11, 8, 7, 8, 15, 32, 61, 105, 161, 223, 282, 326, 346, 337, 300, 241, 174, 109, 57, 22, 4, 0, 0, 4, 8, 13, 19, 24, 30, 34, 36, 36, 32, 28, 22, 17, 13, 8, 3, 0, 1, 12, 38, 83, 146, 220, 295, 356, 392, 394, 361, 301, 226, 149, 84, 37, 10, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 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, 1, 3, 4, 6, 6, 6, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 5, 7, 9, 9, 8, 7, 5, 4, 3, 4, 7, 9, 12, 14, 16, 16, 15, 13, 11, 8, 6, 4, 3, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 14, 14, 13, 11, 9, 8, 6, 4, 2, 0, 0, 5, 25, 63, 121, 195, 277, 354, 410, 435, 423, 377, 306, 224, 145, 80, 36, 10, 0, 0, 0, 1, 1, 0, 0, 1, 3, 5, 7, 8, 9, 9, 9, 8, 6, 3, 0, 1, 8, 27, 61, 111, 173, 239, 299, 341, 354, 334, 286, 221, 159, 118, 118, 166, 259, 385, 520, 637, 712, 731, 690, 598, 473, 338, 213, 113, 46, 10, 0, 0, 3, 5, 1, 0, 0, 19, 70, 157, 279, 421, 563, 680, 749, 758, 705, 601, 467, 326, 200, 103, 40, 8, 0, 0, 5, 10, 12, 13, 13, 13, 14, 14, 15, 14, 13, 11, 10, 8, 6, 5, 5, 5, 5, 6, 7, 8, 8, 7, 7, 5, 4, 3, 2, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 4, 2, 1, 1, 2, 4, 7, 11, 14, 15, 15, 14, 12, 9, 7, 6, 5, 4, 4, 5, 5, 6, 6, 7, 7, 6, 6, 6, 7, 8, 9, 9, 10, 10, 9, 8, 7, 5, 4, 2, 1, 1, 1, 2, 5, 7, 9, 9, 8, 6, 3, 1, 0, 0, 0, 1, 1, 2, 3, 3, 3, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 9, 11, 13, 15, 15, 14, 13, 11, 10, 9, 7, 4, 0, 0, 3, 26, 73, 148, 247, 358, 464, 545, 586, 577, 520, 429, 324, 230, 169, 158, 202, 295, 420, 552, 662, 728, 734, 680, 578, 451, 327, 233, 185, 190, 242, 322, 409, 478, 513, 505, 455, 376, 290, 220, 186, 202, 268, 374, 498, 613, 694, 725, 700, 622, 509, 379, 254, 149, 73, 28, 8, 4, 8, 12, 12, 8, 7, 15, 41, 90, 163, 256, 357, 452, 525, 564, 561, 516, 439, 341, 240, 150, 79, 32, 7, 0, 0, 5, 10, 14, 16, 18, 19, 20, 20, 19, 17, 14, 11, 9, 8, 9, 11, 13, 14, 15, 15, 15, 13, 12, 10, 9, 7, 6, 6, 6, 7, 8, 9, 9, 9, 9, 8, 8, 8, 9, 9, 9, 9, 9, 8, 8, 7, 6, 6, 5, 4, 4, 4, 5, 7, 9, 12, 14, 14, 13, 10, 6, 3, 2, 8, 24, 51, 93, 148, 211, 276, 332, 368, 378, 359, 313, 249, 178, 112, 59, 24, 5, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 3, 4, 5, 6, 8, 9, 10, 10, 9, 7, 6, 6, 7, 10, 13, 15, 14, 10, 4, 0, 2, 21, 62, 128, 218, 321, 425, 512, 567, 579, 547, 477, 382, 279, 184, 106, 51, 18, 3, 0, 0, 3, 5, 7, 9, 11, 12, 12, 12, 10, 8, 7, 6, 6, 8, 9, 11, 11, 12, 11, 11, 10, 8, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 6, 5, 5, 4, 3, 3, 3, 4, 5, 6, 7, 7, 6, 6, 5, 3, 2, 1, 0, 0, 0, 1, 2, 4, 6, 7, 7, 7, 7, 6, 6, 6, 6, 7, 8, 11, 19, 32, 55, 87, 128, 173, 219, 256, 278, 281, 263, 228, 181, 131, 83, 45, 19, 5, 0, 1, 3, 2, 0, 0, 1, 21, 66, 141, 242, 360, 480, 581, 647, 667, 639, 567, 466, 351, 240, 146, 76, 32, 8, 0, 0, 0, 1, 1, 3, 5, 8, 11, 12, 12, 11, 8, 6, 5, 4, 5, 5, 6, 7, 7, 7, 7, 7, 6, 6, 6, 5, 5, 6, 6, 6, 7, 7, 7, 7, 7, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 1, 2, 5, 7, 9, 10, 11, 11, 11, 10, 9, 9, 9, 10, 11, 12, 12, 11, 13, 20, 35, 60, 97, 144, 195, 244, 284, 307, 311, 293, 258, 210, 158, 108, 66, 35, 17, 9, 7, 8, 7, 4, 0, 0, 9, 40, 97, 180, 285, 401, 511, 599, 650, 655, 615, 538, 441, 343, 266, 224, 226, 266, 332, 405, 463, 491, 481, 436, 367, 294, 234, 203, 208, 250, 321, 404, 484, 542, 566, 550, 496, 414, 318, 222, 138, 75, 33, 11, 3, 3, 7, 11, 14, 16, 18, 19, 20, 20, 19, 18, 17, 16, 17, 19, 21, 22, 21, 19, 17, 14, 13, 12, 12, 11, 10, 9, 7, 6, 6, 6, 7, 9, 9, 10, 9, 6, 2, 0, 0, 8, 36, 87, 167, 272, 395, 521, 632, 709, 739, 715, 640, 528, 396, 266, 154, 73, 24, 2, 0, 0, 2, 2, 0, 0, 0, 0, 3, 6, 8, 9, 8, 7, 5, 3, 2, 0, 0, 0, 0, 2, 4, 6, 8, 11, 12, 14, 15, 15, 15, 13, 11, 9, 7, 6, 6, 8, 10, 12, 15, 16, 16, 16, 15, 14, 14, 13, 11, 8, 3, 0, 0, 6, 27, 69, 133, 222, 328, 443, 552, 638, 686, 688, 642, 555, 441, 320, 208, 117, 54, 18, 2, 0, 0, 1, 2, 4, 9, 20, 40, 72, 115, 167, 222, 275, 317, 340, 341, 318, 276, 220, 160, 104, 59, 27, 9, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 5, 6, 7, 7, 7, 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, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 3, 5, 6, 6, 7, 7, 6, 5, 4, 3, 2, 1, 2, 3, 5, 6, 7, 7, 6, 4, 3, 2, 1, 2, 3, 3, 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, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 8, 10, 11, 11, 11, 10, 10, 10, 10, 10, 7, 3, 0, 0, 6, 25, 60, 111, 178, 255, 333, 401, 451, 473, 464, 426, 364, 288, 209, 137, 80, 39, 14, 2, 0, 0, 4, 8, 13, 16, 19, 20, 20, 19, 17, 15, 14, 12, 11, 11, 16, 31, 61, 110, 178, 263, 355, 441, 508, 544, 544, 510, 450, 379, 313, 268, 252, 271, 318, 385, 454, 510, 540, 535, 497, 435, 366, 308, 274, 274, 306, 361, 426, 485, 525, 538, 520, 473, 403, 319, 231, 150, 84, 38, 11, 0, 0, 0, 1, 1, 0, 0, 1, 4, 8, 12, 15, 15, 14, 13, 11, 9, 9, 9, 9, 9, 9, 7, 6, 4, 2, 0, 0, 1, 13, 40, 85, 153, 241, 341, 443, 532, 596, 625, 615, 568, 491, 396, 294, 197, 117, 58, 21, 3, 0, 0, 0, 1, 0, 0, 0, 0, 2, 3, 4, 4, 3, 3, 3, 4, 6, 8, 9, 10, 10, 10, 11, 11, 12, 13, 14, 15, 15, 15, 14, 13, 12, 12, 12, 13, 14, 15, 16, 17, 17, 15, 14, 12, 11, 10, 10, 10, 10, 10, 10, 15, 25, 45, 76, 118, 169, 222, 272, 310, 333, 337, 321, 287, 241, 188, 134, 86, 47, 21, 6, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 5, 9, 12, 15, 17, 19, 19, 18, 16, 14, 11, 9, 7, 6, 5, 5, 4, 4, 4, 3, 4, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 3, 4, 5, 5, 6, 6, 5, 4, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 11, 9, 8, 9, 16, 32, 60, 100, 151, 210, 269, 321, 359, 378, 374, 348, 304, 249, 189, 131, 82, 46, 22, 9, 4, 3, 3, 3, 4, 8, 18, 38, 68, 109, 161, 219, 277, 330, 370, 391, 389, 366, 326, 278, 235, 206, 199, 215, 250, 296, 342, 376, 390, 383, 355, 316, 277, 249, 243, 264, 308, 367, 429, 478, 505, 503, 471, 415, 342, 264, 188, 122, 71, 35, 13, 2, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 6, 8, 10, 12, 13, 13, 13, 14, 15, 16, 18, 19, 19, 17, 15, 16, 25, 47, 88, 150, 232, 326, 424, 511, 576, 610, 607, 570, 505, 421, 329, 238, 158, 93, 46, 17, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 2, 2, 2, 3, 4, 5, 6, 6, 5, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 6, 7, 7, 6, 5, 4, 3, 3, 4, 5, 6, 7, 7, 8, 7, 6, 5, 3, 2, 1, 1, 2, 2, 3, 4, 4, 4, 4, 5, 5, 6, 7, 7, 8, 8, 8, 7, 7, 12, 26, 52, 95, 155, 229, 310, 391, 459, 506, 525, 512, 471, 406, 328, 246, 170, 106, 58, 26, 8, 0, 0, 0, 1, 4, 6, 9, 13, 16, 18, 18, 17, 16, 15, 14, 16, 21, 31, 49, 76, 113, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 160, 211, 263, 307, 337, 351, 348, 331, 308, 287, 277, 286, 317, 370, 438, 512, 577, 622, 636, 614, 558, 476, 380, 284, 197, 126, 74, 39, 18, 7, 2, 2, 6, 15, 30, 52, 82, 120, 165, 212, 256, 290, 310, 310, 291, 255, 208, 157, 110, 70, 42, 24, 14, 9, 7, 7, 7, 7, 8, 10, 11, 12, 12, 11, 8, 6, 4, 2, 0, 0, 0, 0, 1, 2, 2, 3, 2, 2, 1, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 3, 5, 8, 12, 18, 26, 40, 59, 87, 122, 162, 203, 239, 264, 275, 271, 251, 220, 181, 139, 99, 64, 36, 17, 5, 0, 0, 0, 0, 1, 1, 1, 2, 3, 4, 5, 5, 3, 2, 2, 5, 14, 31, 58, 96, 143, 197, 255, 313, 363, 399, 417, 412, 385, 338, 279, 214, 153, 101, 60, 33, 15, 6, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 8, 9, 10, 10, 10, 10, 10, 10, 9, 9, 9, 10, 12, 17, 25, 38, 56, 82, 115, 154, 196, 237, 272, 295, 304, 297, 278, 254, 233, 223, 231, 260, 307, 367, 430, 486, 525, 539, 524, 483, 420, 345, 267, 195, 133, 83, 47, 22, 7, 1, 5, 20, 48, 90, 145, 212, 289, 370, 450, 518, 567, 589, 579, 537, 469, 384, 292, 206, 133, 77, 40, 18, 7, 3, 1, 1, 1, 1, 3, 5, 7, 9, 10, 11, 11, 10, 9, 9, 12, 19, 36, 62, 101, 150, 206, 265, 318, 360, 386, 392, 378, 346, 300, 244, 185, 129, 80, 43, 18, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 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, 2, 2, 3, 3, 2, 2, 1, 1, 1, 2, 2, 3, 4, 4, 4, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 4, 4, 4, 7, 15, 32, 59, 97, 145, 201, 261, 318, 367, 403, 420, 415, 390, 347, 292, 232, 172, 120, 77, 45, 24, 10, 4, 1, 2, 3, 5, 7, 8, 10, 11, 11, 12, 12, 12, 12, 12, 11, 10, 10, 9, 10, 10, 11, 12, 11, 9, 7, 9, 17, 35, 67, 111, 168, 234, 305, 375, 439, 490, 522, 529, 509, 463, 398, 321, 243, 171, 113, 70, 42, 25, 16, 11, 8, 8, 8, 8, 9, 10, 10, 9, 9, 8, 7, 6, 5, 3, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 4, 6, 11, 18, 31, 51, 80, 120, 171, 230, 292, 352, 402, 437, 454, 452, 433, 403, 367, 335, 311, 304, 314, 342, 381, 422, 456, 473, 468, 438, 388, 325, 256, 190, 131, 85, 50, 27, 13, 6, 4, 5, 7, 10, 11, 12, 11, 10, 9, 8, 8, 7, 6, 4, 2, 1, 0, 0, 2, 4, 8, 10, 12, 12, 11, 9, 7, 5, 4, 3, 2, 3, 3, 5, 6, 7, 8, 8, 8, 8, 8, 8, 9, 10, 11, 11, 11, 10, 10, 10, 11, 12, 13, 13, 14, 13, 13, 14, 16, 21, 31, 49, 76, 115, 166, 230, 302, 377, 446, 500, 534, 541, 524, 486, 436, 383, 338, 308, 298, 309, 336, 372, 408, 436, 448, 441, 415, 371, 316, 256, 197, 144, 98, 63, 37, 20, 9, 5, 4, 5, 7, 9, 11, 12, 12, 12, 13, 13, 14, 17, 23, 34, 53, 81, 119, 170, 232, 302, 375, 445, 501, 537, 546, 528, 484, 423, 352, 279, 212, 152, 104, 65, 37, 18, 6, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 7, 9, 13, 20, 32, 49, 73, 103, 138, 175, 212, 243, 267, 279, 280, 269, 247, 217, 181, 143, 106, 73, 46, 26, 13, 8, 9, 17, 30, 49, 74, 104, 138, 173, 207, 237, 261, 276, 282, 275, 257, 229, 194, 155, 118, 86, 61, 43, 31, 24, 22, 26, 39, 62, 99, 150, 213, 287, 365, 441, 509, 561, 592, 598, 581, 545, 497, 446, 401, 369, 352, 350, 357, 368, 377, 379, 370, 350, 318, 278, 231, 181, 133, 89, 54, 29, 14, 7, 4, 4, 4, 4, 2, 0, 0, 0, 3, 6, 9, 11, 12, 12, 12, 10, 9, 8, 7, 6, 6, 6, 6, 7, 8, 9, 10, 10, 10, 10, 9, 9, 8, 7, 6, 6, 6, 6, 8, 9, 9, 10, 9, 8, 7, 6, 7, 9, 15, 26, 44, 71, 110, 161, 221, 287, 352, 410, 453, 477, 479, 460, 423, 372, 314, 253, 194, 140, 95, 59, 32, 14, 4, 0, 0, 1, 3, 5, 7, 9, 10, 11, 10, 9, 8, 7, 7, 7, 7, 7, 7, 5, 4, 2, 2, 2, 3, 5, 6, 7, 7, 7, 7, 7, 7, 7, 6, 5, 4, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 7, 7, 8, 8, 7, 6, 5, 4, 3, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 3, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 4, 3, 4, 4, 5, 6, 6, 5, 4, 3, 4, 7, 12, 20, 33, 49, 71, 97, 127, 159, 189, 215, 231, 238, 232, 217, 194, 166, 136, 107, 81, 58, 39, 24, 15, 10, 9, 13, 21, 34, 51, 74, 103, 137, 175, 212, 247, 276, 296, 306, 307, 299, 286, 272, 261, 255, 259, 271, 291, 313, 332, 343, 342, 330, 306, 274, 237, 197, 157, 119, 85, 55, 32, 16, 6, 1, 0, 0, 1, 2, 3, 4, 4, 4, 4, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 9, 10, 11, 11, 11, 11, 10, 9, 9, 8, 8, 8, 8, 8, 8, 7, 6, 5, 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, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 9, 9, 8, 8, 7, 8, 10, 12, 15, 17, 18, 19, 22, 29, 40, 58, 82, 110, 140, 171, 200, 225, 244, 255, 258, 250, 233, 207, 176, 143, 111, 83, 59, 41, 28, 18, 11, 6, 4, 3, 4, 6, 7, 9, 9, 9, 7, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 4, 3, 4, 6, 10, 19, 31, 46, 63, 83, 104, 126, 147, 168, 185, 197, 201, 197, 185, 166, 142, 117, 93, 73, 57, 45, 36, 32, 30, 33, 40, 53, 73, 99, 129, 162, 195, 225, 249, 267, 276, 276, 267, 249, 224, 195, 163, 132, 103, 78, 58, 44, 35, 33, 39, 54, 81, 118, 166, 222, 284, 348, 410, 465, 509, 537, 545, 531, 495, 442, 377, 307, 239, 180, 130, 91, 61, 38, 21, 9, 2, 0, 0, 1, 3, 4, 4, 3, 2, 1, 1, 2, 3, 5, 6, 6, 5, 5, 4, 3, 3, 2, 1, 1, 1, 1, 2, 4, 6, 7, 8, 7, 7, 6, 6, 6, 6, 7, 8, 8, 7, 7, 7, 8, 11, 15, 22, 33, 48, 68, 96, 131, 171, 213, 255, 292, 321, 339, 346, 341, 324, 298, 263, 223, 180, 138, 100, 68, 44, 28, 17, 12, 9, 8, 8, 9, 9, 10, 11, 12, 13, 15, 18, 22, 28, 37, 49, 64, 82, 104, 130, 161, 194, 228, 257, 280, 292, 293, 281, 260, 233, 201, 169, 137, 107, 80, 56, 37, 22, 12, 6, 4, 4, 6, 9, 11, 12, 12, 12, 11, 9, 9, 8, 9, 9, 9, 9, 8, 7, 6, 6, 6, 7, 8, 9, 10, 9, 8, 7, 6, 5, 5, 6, 7, 8, 9, 10, 10, 10, 10, 11, 12, 14, 15, 17, 18, 21, 24, 30, 39, 52, 68, 88, 112, 137, 164, 191, 215, 235, 248, 253, 248, 234, 213, 187, 158, 128, 100, 75, 54, 36, 22, 12, 5, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 6, 7, 8, 8, 9, 9, 9, 10, 11, 13, 16, 22, 32, 49, 75, 110, 154, 206, 263, 322, 377, 425, 462, 484, 490, 479, 452, 411, 361, 306, 250, 197, 149, 107, 73, 46, 27, 13, 4, 0, 0, 0, 0, 2, 3, 4, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 6, 8, 11, 15, 20, 28, 37, 50, 65, 81, 99, 117, 134, 148, 159, 167, 170, 169, 163, 154, 141, 124, 105, 85, 66, 50, 38, 30, 27, 28, 33, 40, 51, 66, 84, 106, 130, 155, 177, 195, 207, 211, 208, 199, 186, 168, 148, 126, 103, 80, 59, 39, 24, 12, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 5, 7, 9, 11, 16, 23, 34, 51, 74, 103, 139, 181, 229, 281, 335, 386, 430, 462, 481, 486, 480, 466, 449, 433, 420, 413, 410, 411, 416, 421, 426, 426, 419, 402, 375, 339, 296, 250, 206, 166, 131, 102, 79, 64, 57, 59, 73, 97, 131, 173, 220, 271, 322, 370, 411, 441, 457, 458, 442, 413, 373, 327, 278, 229, 183, 140, 103, 73, 50, 33, 21, 14, 10, 7, 5, 4, 3, 3, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 3, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 3, 4, 5, 6, 6, 5, 5, 5, 6, 9, 15, 23, 33, 43, 55, 69, 85, 103, 124, 143, 160, 172, 178, 177, 170, 159, 145, 129, 112, 94, 76, 58, 43, 30, 20, 13, 9, 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, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 3, 3, 2, 2, 2, 4, 5, 7, 9, 10, 11, 12, 14, 18, 25, 34, 45, 58, 72, 87, 102, 118, 135, 151, 165, 176, 181, 180, 173, 160, 143, 124, 106, 90, 76, 64, 54, 46, 41, 40, 46, 59, 78, 103, 133, 163, 194, 223, 249, 271, 288, 300, 304, 300, 289, 269, 243, 212, 177, 141, 107, 76, 51, 32, 19, 12, 8, 6, 5, 4, 3, 3, 4, 6, 11, 16, 23, 30, 39, 49, 61, 76, 95, 116, 139, 163, 184, 200, 211, 215, 213, 205, 193, 178, 161, 143, 123, 103, 83, 64, 46, 31, 19, 10, 5, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 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, 1, 3, 4, 5, 5, 4, 4, 3, 4, 6, 8, 10, 11, 11, 10, 7, 5, 4, 4, 5, 6, 6, 6, 4, 2, 1, 1, 3, 5, 8, 10, 10, 9, 8, 7, 6, 7, 8, 9, 10, 10, 10, 9, 8, 8, 8, 8, 9, 8, 8, 7, 7, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 5, 5, 5, 5, 5, 7, 9, 12, 16, 21, 27, 34, 44, 56, 71, 89, 108, 128, 148, 167, 183, 197, 207, 214, 218, 219, 218, 217, 215, 215, 216, 220, 227, 237, 249, 261, 270, 273, 269, 258, 240, 218, 193, 167, 142, 119, 98, 79, 62, 48, 37, 29, 24, 22, 21, 20, 18, 16, 14, 12, 12, 12, 13, 14, 14, 13, 11, 10, 9, 9, 11, 13, 15, 15, 15, 13, 12, 12, 13, 15, 18, 21, 23, 23, 24, 25, 28, 35, 45, 58, 72, 88, 103, 119, 136, 154, 172, 190, 206, 221, 234, 246, 259, 275, 294, 317, 341, 367, 393, 416, 435, 448, 452, 448, 433, 411, 382, 349, 313, 276, 240, 205, 171, 141, 117, 101, 95, 101, 118, 146, 180, 217, 254, 289, 321, 349, 371, 386, 393, 391, 379, 359, 332, 299, 264, 227, 189, 152, 118, 88, 63, 46, 34, 27, 22, 18, 14, 11, 9, 9, 12, 18, 25, 33, 43, 55, 71, 92, 118, 148, 182, 217, 250, 281, 307, 328, 341, 346, 342, 328, 304, 274, 240, 205, 171, 141, 114, 91, 70, 52, 37, 25, 17, 13, 11, 11, 11, 10, 9, 7, 5, 4, 3, 3, 4, 3, 2, 1, 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, 7, 5, 3, 2, 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, 8, 7, 7, 8, 9, 12, 15, 18, 21, 24, 27, 30, 36, 44, 56, 70, 88, 109, 132, 156, 180, 204, 226, 245, 260, 270, 273, 269, 260, 245, 227, 205, 181, 157, 132, 109, 87, 69, 54, 43, 35, 29, 25, 23, 21, 21, 23, 27, 33, 42, 51, 63, 78, 96, 118, 145, 175, 208, 242, 274, 302, 328, 352, 375, 396, 415, 430, 439, 442, 441, 440, 441, 447, 458, 473, 487, 498, 502, 501, 494, 483, 470, 456, 443, 430, 418, 406, 395, 383, 372, 359, 345, 330, 312, 290, 264, 234, 201, 168, 136, 108, 86, 68, 54, 42, 32, 23, 16, 11, 9, 9, 10, 11, 11, 10, 8, 7, 5, 4, 4, 4, 4, 4, 3, 3, 2, 1, 1, 2, 3, 4, 5, 5, 6, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 9, 10, 10, 10, 9, 9, 8, 8, 7, 7, 7, 7, 6, 5, 5, 5, 5, 6, 7, 8, 8, 7, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 6, 7, 7, 7, 6, 5, 5, 4, 4, 5, 6, 9, 11, 13, 14, 15, 14, 13, 12, 11, 10, 10, 10, 10, 10, 11, 11, 11, 10, 9, 8, 7, 6, 5, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 10, 9, 9, 8, 7, 7, 7, 8, 8, 9, 9, 9, 8, 7, 6, 5, 4, 5, 5, 6, 6, 7, 7, 8, 9, 12, 15, 18, 22, 27, 34, 42, 53, 66, 80, 95, 109, 123, 135, 147, 157, 165, 170, 172, 171, 166, 159, 150, 140, 128, 114, 99, 84, 68, 54, 43, 35, 31, 29, 27, 25, 23, 21, 18, 16, 16, 16, 17, 18, 19, 19, 19, 20, 20, 20, 21, 22, 22, 21, 21, 20, 20, 21, 22, 24, 25, 27, 29, 31, 33, 36, 40, 46, 52, 60, 69, 80, 94, 111, 130, 152, 175, 199, 224, 248, 271, 293, 311, 326, 339, 350, 363, 380, 400, 423, 446, 465, 479, 487, 490, 492, 493, 493, 491, 485, 473, 456, 438, 421, 408, 398, 389, 379, 364, 342, 316, 287, 259, 233, 210, 188, 166, 142, 118, 95, 73, 55, 42, 33, 28, 24, 22, 20, 18, 16, 15, 14, 13, 12, 11, 10, 10, 9, 8, 7, 6, 5, 5, 4, 4, 5, 5, 6, 6, 5, 4, 3, 2, 2, 3, 4, 6, 7, 8, 9, 9, 9, 9, 9, 10, 11, 12, 13, 14, 15, 15, 16, 15, 15, 15, 15, 16, 17, 18, 19, 19, 19, 19, 20, 24, 30, 40, 52, 66, 80, 95, 110, 125, 138, 151, 162, 171, 176, 177, 174, 168, 158, 146, 131, 115, 98, 81, 65, 52, 41, 32, 25, 19, 14, 10, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 4, 4, 4, 3, 3, 5, 8, 13, 19, 24, 30, 36, 44, 55, 70, 87, 107, 126, 146, 167, 190, 216, 245, 275, 303, 327, 343, 352, 353, 351, 347, 346, 346, 347, 348, 348, 347, 345, 341, 337, 331, 322, 309, 291, 270, 247, 223, 199, 175, 152, 130, 108, 87, 69, 53, 41, 32, 25, 20, 16, 13, 10, 8, 7, 6, 6, 6, 5, 4, 4, 3, 2, 2, 2, 1, 1, 0, 0, 1, 2, 4, 6, 8, 9, 10, 10, 11, 14, 19, 26, 33, 42, 51, 63, 78, 97, 121, 148, 175, 202, 226, 248, 269, 289, 309, 328, 343, 355, 361, 362, 360, 357, 354, 354, 355, 358, 361, 361, 359, 352, 341, 324, 304, 281, 257, 233, 209, 185, 161, 138, 115, 93, 73, 57, 43, 34, 26, 21, 17, 13, 10, 8, 7, 7, 8, 9, 11, 11, 11, 10, 9, 8, 7, 6, 6, 6, 6, 5, 4, 4, 4, 4, 5, 5, 4, 3, 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, 1, 2, 3, 4, 6, 7, 9, 10, 11, 11, 11, 10, 9, 9, 9, 10, 11, 12, 12, 11, 10, 9, 8, 7, 8, 8, 9, 10, 10, 9, 8, 7, 6, 5, 5, 5, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 3, 4, 5, 5, 4, 3, 2, 2, 4, 6, 9, 12, 15, 16, 17, 18, 20, 24, 29, 38, 50, 63, 78, 94, 108, 121, 132, 141, 149, 157, 165, 173, 178, 181, 180, 174, 163, 149, 131, 113, 96, 81, 67, 56, 47, 40, 33, 28, 22, 17, 13, 11, 11, 13, 18, 25, 33, 42, 51, 62, 73, 86, 100, 117, 134, 152, 171, 190, 207, 223, 236, 245, 250, 252, 250, 245, 237, 225, 210, 191, 170, 150, 133, 121, 115, 114, 117, 123, 129, 138, 148, 162, 178, 196, 214, 231, 245, 256, 261, 262, 258, 249, 235, 218, 200, 180, 161, 142, 123, 104, 85, 68, 53, 41, 32, 26, 21, 17, 13, 8, 4, 1, 0, 0, 0, 1, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 3, 3, 3, 3, 3, 4, 5, 5, 5, 4, 4, 3, 2, 1, 0, 0, 0, 0, 2, 3, 5, 6, 6, 6, 6, 7, 8, 10, 13, 15, 17, 20, 24, 29, 38, 49, 62, 76, 89, 101, 111, 120, 129, 140, 153, 167, 179, 189, 194, 193, 187, 179, 168, 156, 143, 129, 114, 99, 85, 72, 61, 51, 43, 35, 28, 22, 17, 15, 15, 18, 22, 25, 27, 28, 30, 36, 47, 62, 82, 103, 123, 142, 159, 175, 193, 213, 236, 259, 281, 301, 316, 328, 338, 348, 357, 368, 378, 388, 396, 403, 409, 412, 413, 410, 403, 391, 374, 355, 333, 310, 286, 261, 235, 210, 185, 160, 135, 112, 89, 69, 52, 37, 26, 19, 14, 11, 9, 8, 6, 4, 2, 1, 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, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 4, 3, 3, 2, 2, 3, 5, 7, 8, 8, 8, 7, 7, 7, 7, 7, 8, 8, 8, 7, 5, 4, 3, 3, 3, 3, 4, 5, 6, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 11, 12, 12, 12, 11, 9, 8, 7, 7, 7, 7, 7, 7, 6, 5, 5, 4, 4, 3, 2, 2, 1, 0, 0, 0, 1, 2, 2, 3, 3, 3, 5, 7, 11, 17, 24, 31, 39, 48, 57, 68, 80, 94, 110, 127, 145, 164, 182, 200, 217, 231, 242, 248, 250, 247, 241, 234, 225, 215, 203, 190, 173, 153, 132, 111, 92, 76, 64, 55, 47, 40, 33, 26, 20, 15, 11, 9, 8, 8, 8, 7, 7, 7, 7, 8, 8, 8, 7, 6, 5, 4, 3, 2, 1, 1, 2, 3, 5, 6, 7, 7, 6, 5, 3, 1, 0, 0, 0, 1, 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, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 1, 3, 5, 7, 8, 8, 7, 7, 6, 5, 4, 5, 5, 5, 6, 7, 7, 7, 7, 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, 1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 6, 9, 13, 18, 25, 33, 42, 50, 58, 64, 69, 74, 80, 87, 95, 105, 115, 124, 130, 133, 134, 133, 131, 129, 126, 122, 116, 108, 98, 88, 78, 69, 60, 52, 44, 37, 31, 26, 22, 19, 16, 13, 10, 6, 4, 2, 2, 2, 3, 4, 5, 5, 6, 6, 6, 6, 6, 5, 3, 1, 0, 0, 0, 1, 2, 3, 4, 5, 5, 5, 5, 5, 6, 8, 10, 12, 14, 16, 16, 15, 14, 13, 12, 11, 10, 10, 10, 9, 10, 10, 11, 12, 12, 12, 12, 11, 10, 9, 9, 10, 11, 12, 14, 15, 15, 16, 16, 15, 15, 14, 14, 13, 13, 13, 14, 16, 19, 22, 25, 27, 29, 31, 33, 37, 43, 50, 58, 67, 76, 84, 92, 101, 110, 121, 132, 145, 157, 169, 179, 188, 194, 199, 202, 203, 203, 200, 194, 186, 174, 162, 149, 136, 124, 113, 104, 95, 88, 81, 75, 70, 65, 61, 57, 54, 52, 52, 54, 57, 62, 67, 74, 81, 90, 100, 111, 122, 133, 144, 153, 162, 170, 177, 183, 188, 191, 192, 191, 189, 186, 181, 176, 168, 158, 146, 132, 117, 104, 92, 82, 73, 67, 61, 55, 48, 43, 37, 33, 29, 26, 24, 22, 20, 18, 17, 15, 13, 11, 9, 8, 8, 9, 10, 12, 14, 15, 15, 15, 16, 17, 19, 22, 26, 30, 36, 43, 51, 60, 71, 83, 96, 110, 125, 141, 158, 177, 195, 211, 226, 237, 245, 250, 254, 257, 259, 260, 258, 253, 244, 231, 215, 198, 182, 167, 154, 142, 130, 117, 103, 88, 74, 60, 49, 40, 34, 31, 29, 27, 25, 23, 20, 17, 15, 13, 11, 11, 10, 10, 10, 9, 9, 10, 11, 13, 15, 16, 16, 15, 13, 11, 10, 10, 11, 12, 13, 14, 14, 14, 13, 13, 12, 12, 12, 13, 14, 17, 20, 23, 26, 29, 31, 32, 34, 36, 39, 44, 51, 60, 72, 87, 104, 121, 138, 155, 171, 188, 206, 225, 244, 262, 278, 290, 298, 303, 305, 306, 305, 303, 299, 290, 278, 263, 245, 226, 206, 187, 169, 151, 134, 118, 104, 92, 84, 77, 72, 68, 64, 62, 60, 59, 60, 62, 65, 68, 73, 78, 83, 90, 97, 103, 108, 112, 114, 116, 117, 118, 120, 122, 123, 123, 122, 120, 119, 120, 122, 126, 131, 134, 138, 141, 144, 150, 159, 171, 184, 198, 211, 222, 232, 241, 250, 259, 267, 275, 281, 286, 288, 289, 288, 285, 280, 274, 266, 257, 250, 243, 239, 237, 237, 237, 237, 239, 241, 246, 253, 262, 272, 282, 292, 301, 309, 315, 319, 322, 321, 318, 313, 306, 298, 292, 286, 282, 277, 272, 265, 259, 253, 250, 251, 255, 264, 273, 283, 293, 302, 311, 322, 332, 342, 348, 349, 344, 334, 320, 305, 289, 275, 260, 245, 228, 210, 191, 173, 156, 141, 128, 114, 101, 89, 77, 66, 57, 50, 45, 41, 37, 35, 33, 33, 32, 32, 32, 32, 33, 35, 39, 45, 54, 64, 75, 88, 104, 122, 143, 169, 198, 230, 265, 300, 336, 370, 401, 428, 451, 470, 483, 492, 496, 496, 493, 489, 485, 484, 486, 493, 506, 523, 542, 562, 580, 594, 602, 602, 594, 577, 552, 522, 486, 446, 405, 363, 322, 282, 246, 214, 187, 165, 148, 135, 125, 116, 108, 101, 93, 84, 77, 71, 67, 65, 64, 65, 65, 66, 65, 64, 63, 62, 61, 61, 60, 60, 60, 59, 59, 58, 58, 58, 57, 56, 54, 53, 51, 50, 50, 51, 52, 54, 56, 56, 56, 55, 53, 51, 50, 51, 53, 56, 58, 59, 57, 55, 52, 49, 48, 49, 50, 52, 53, 53, 52, 51, 51, 52, 54, 56, 58, 58, 57, 56, 55, 55, 55, 54, 53, 52, 51, 51, 51, 52, 54, 55, 56, 55, 55, 54, 54, 55, 55, 56, 55, 54, 52, 51, 50, 50, 50, 51, 51, 52, 52, 53, 54, 54, 54, 53, 51, 48, 46, 44, 44, 45, 47, 49, 50, 50, 48, 46, 44, 43, 42, 41, 42, 42, 44, 45, 45, 45, 43, 41, 40, 39, 39, 41, 42, 44, 44, 43, 41, 39, 38, 36, 36, 35, 35, 35, 34, 34, 33, 32, 31, 30, 29, 29, 30, 31, 32, 32, 32, 32, 30, 29, 27, 27, 26, 27, 27, 27, 26, 24, 22, 20, 19, 20, 21, 23, 25, 26, 27, 26, 26, 25, 24, 23, 22, 21, 19, 16, 14, 12, 11, 11, 12, 13, 13, 12, 10, 7, 5, 4, 4, 6, 8, 10, 11, 13, 14, 14, 14, 13, 12, 10, 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, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 2, 2, 1, 1, 1, 2, 3, 4, 5, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 3, 2, 2, 3, 3, 4, 5, 5, 6, 6, 5, 5, 5, 6, 7, 8, 8, 9, 8, 7, 5, 3, 2, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
"peakT": [16, 16, 17, 18, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 42, 45, 48, 51, 52, 53, 53, 51, 49, 46, 43, 39, 35, 31, 27, 24, 22, 21, 20, 19, 18, 16, 13, 10, 7, 5, 3, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 4, 5, 6, 7, 7, 7, 8, 12, 17, 24, 32, 40, 47, 55, 63, 73, 85, 99, 113, 126, 137, 144, 147, 147, 142, 135, 126, 115, 103, 90, 77, 64, 51, 39, 29, 21, 14, 10, 7, 5, 5, 5, 5, 5, 6, 6, 5, 5, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 3, 3, 2, 1, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 2, 3, 5, 6, 7, 8, 8, 8, 7, 6, 5, 5, 6, 7, 9, 9, 9, 7, 7, 8, 13, 25, 44, 72, 108, 153, 204, 258, 311, 359, 397, 419, 424, 409, 379, 335, 285, 235, 191, 158, 138, 134, 146, 170, 202, 238, 271, 296, 309, 308, 293, 266, 230, 190, 149, 112, 79, 52, 32, 18, 9, 4, 2, 2, 3, 5, 7, 8, 9, 9, 9, 8, 8, 8, 7, 5, 3, 2, 1, 3, 10, 22, 43, 72, 110, 154, 202, 249, 291, 322, 338, 338, 322, 291, 249, 201, 152, 107, 69, 40, 21, 10, 4, 2, 2, 2, 3, 3, 4, 4, 4, 4, 3, 3, 2, 2, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 9, 8, 7, 6, 5, 5, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 1, 3, 5, 6, 6, 6, 5, 4, 4, 3, 3, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 3, 4, 4, 3, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 34, 76, 140, 225, 325, 429, 525, 599, 640, 642, 604, 531, 434, 326, 223, 136, 71, 29, 6, 0, 0, 8, 36, 85, 161, 261, 378, 497, 602, 676, 708, 694, 636, 544, 432, 315, 208, 121, 59, 22, 4, 0, 0, 0, 0, 0, 0, 1, 3, 6, 8, 10, 11, 11, 10, 8, 7, 5, 3, 1, 1, 1, 3, 5, 8, 11, 12, 13, 12, 11, 10, 10, 9, 8, 7, 5, 3, 2, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 8, 10, 12, 13, 12, 11, 10, 9, 9, 9, 10, 9, 9, 7, 6, 4, 2, 1, 0, 1, 1, 2, 3, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 5, 5, 4, 4, 4, 3, 3, 2, 2, 2, 3, 4, 5, 6, 6, 7, 7, 7, 7, 7, 8, 8, 9, 10, 10, 10, 8, 7, 6, 6, 6, 5, 2, 0, 0, 11, 48, 118, 224, 358, 506, 642, 744, 791, 774, 696, 574, 435, 308, 224, 201, 245, 345, 480, 617, 725, 780, 768, 691, 566, 418, 273, 152, 67, 19, 0, 0, 0, 2, 2, 1, 1, 4, 8, 13, 17, 19, 19, 17, 15, 12, 10, 9, 8, 7, 4, 0, 0, 1, 22, 68, 143, 244, 359, 472, 562, 612, 612, 562, 472, 360, 245, 144, 68, 22, 1, 0, 0, 4, 6, 6, 6, 6, 7, 9, 11, 13, 14, 14, 13, 11, 8, 5, 3, 1, 1, 2, 4, 6, 8, 9, 11, 12, 15, 17, 18, 18, 16, 14, 12, 11, 10, 8, 2, 0, 0, 22, 83, 190, 343, 525, 708, 857, 942, 943, 861, 713, 530, 345, 190, 81, 20, 0, 0, 2, 6, 6, 3, 2, 5, 11, 18, 23, 24, 21, 16, 11, 8, 7, 8, 7, 3, 0, 0, 14, 63, 152, 282, 442, 606, 743, 826, 835, 766, 634, 465, 298, 168, 103, 119, 212, 361, 534, 694, 804, 842, 801, 691, 536, 369, 218, 104, 34, 2, 0, 1, 8, 11, 11, 9, 9, 10, 12, 15, 16, 16, 16, 15, 15, 15, 16, 17, 18, 18, 18, 15, 12, 8, 4, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 2, 2, 1, 0, 0, 0, 1, 2, 3, 4, 3, 2, 0, 0, 1, 3, 6, 8, 10, 9, 7, 5, 2, 1, 0, 1, 1, 2, 3, 3, 4, 6, 9, 12, 16, 19, 22, 23, 22, 20, 16, 12, 8, 5, 2, 0, 1, 2, 5, 9, 12, 13, 13, 11, 8, 5, 2, 0, 0, 0, 1, 3, 5, 7, 9, 11, 13, 14, 16, 18, 21, 24, 26, 26, 25, 23, 20, 17, 14, 8, 2, 0, 1, 23, 72, 154, 265, 390, 507, 591, 621, 586, 492, 358, 215, 98, 36, 49, 137, 285, 462, 629, 751, 800, 767, 663, 511, 346, 199, 90, 25, 0, 0, 2, 8, 8, 6, 3, 2, 5, 9, 13, 17, 18, 19, 18, 18, 17, 16, 13, 11, 8, 5, 3, 1, 1, 2, 3, 4, 5, 6, 5, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 3, 3, 1, 0, 0, 0, 0, 2, 5, 7, 7, 4, 0, 0, 0, 4, 11, 13, 7, 0, 0, 28, 119, 281, 501, 747, 967, 1107, 1131, 1029, 826, 570, 324, 145, 73, 117, 257, 452, 646, 790, 848, 810, 691, 521, 342, 187, 77, 18, 0, 0, 5, 8, 5, 1, 0, 0, 4, 7, 7, 5, 4, 5, 9, 11, 8, 0, 0, 4, 56, 163, 324, 521, 715, 864, 929, 894, 769, 584, 383, 208, 83, 16, 0, 0, 6, 11, 8, 2, 0, 0, 0, 6, 10, 13, 14, 13, 12, 11, 10, 10, 10, 10, 9, 9, 8, 7, 6, 5, 5, 4, 4, 4, 4, 3, 3, 3, 2, 1, 0, 0, 0, 1, 3, 6, 8, 8, 5, 1, 0, 2, 8, 14, 15, 7, 0, 0, 24, 112, 264, 469, 691, 882, 992, 994, 887, 699, 478, 273, 119, 29, 0, 0, 5, 13, 12, 5, 0, 0, 0, 0, 3, 4, 4, 2, 1, 0, 0, 0, 0, 2, 5, 9, 11, 11, 8, 5, 6, 11, 16, 16, 8, 0, 0, 24, 113, 272, 489, 728, 939, 1068, 1081, 970, 761, 502, 254, 69, 0, 19, 158, 368, 602, 807, 934, 956, 871, 704, 497, 296, 139, 41, 0, 0, 2, 10, 10, 4, 0, 0, 2, 11, 20, 25, 25, 20, 13, 8, 7, 12, 18, 19, 11, 0, 0, 18, 102, 255, 470, 713, 932, 1072, 1093, 987, 774, 507, 250, 63, 0, 46, 218, 463, 724, 938, 1053, 1045, 920, 714, 478, 264, 109, 22, 0, 0, 9, 16, 14, 8, 3, 4, 9, 14, 17, 15, 10, 5, 2, 2, 4, 7, 9, 10, 10, 7, 5, 2, 0, 0, 0, 1, 3, 4, 5, 6, 6, 5, 4, 2, 1, 0, 0, 0, 1, 2, 4, 6, 7, 6, 5, 3, 1, 0, 0, 0, 1, 3, 5, 6, 7, 7, 6, 5, 4, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 4, 6, 6, 3, 0, 0, 0, 5, 15, 20, 14, 0, 0, 8, 90, 250, 481, 745, 984, 1137, 1161, 1051, 836, 574, 326, 140, 31, 0, 0, 8, 16, 14, 6, 0, 0, 4, 12, 18, 19, 16, 11, 7, 6, 6, 8, 9, 10, 9, 8, 7, 6, 4, 3, 2, 1, 2, 3, 5, 7, 8, 7, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 2, 1, 0, 0, 0, 1, 2, 3, 4, 3, 2, 0, 0, 0, 1, 3, 6, 8, 9, 8, 6, 4, 1, 0, 0, 2, 6, 9, 10, 8, 6, 6, 9, 15, 19, 15, 2, 0, 0, 49, 165, 344, 563, 773, 922, 968, 898, 731, 514, 300, 133, 33, 0, 0, 6, 15, 14, 6, 0, 0, 0, 4, 10, 12, 11, 8, 5, 3, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 3, 4, 5, 4, 3, 1, 0, 0, 2, 4, 6, 4, 1, 0, 0, 5, 13, 17, 13, 0, 0, 0, 57, 177, 355, 564, 759, 888, 915, 833, 665, 456, 257, 108, 22, 0, 0, 7, 15, 13, 5, 0, 0, 0, 3, 8, 10, 10, 9, 8, 8, 8, 7, 7, 5, 4, 2, 1, 0, 0, 1, 3, 6, 9, 11, 12, 12, 10, 9, 8, 7, 7, 7, 7, 6, 4, 2, 2, 2, 3, 4, 5, 5, 5, 4, 3, 3, 4, 5, 6, 5, 4, 2, 0, 0, 0, 2, 5, 8, 10, 11, 10, 8, 5, 3, 1, 0, 0, 0, 0, 1, 2, 3, 4, 6, 7, 8, 9, 9, 8, 8, 7, 6, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 7, 8, 7, 5, 4, 4, 4, 6, 7, 7, 7, 6, 4, 2, 1, 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, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 6, 7, 6, 5, 3, 1, 0, 0, 0, 0, 0, 1, 3, 6, 8, 11, 12, 12, 10, 7, 5, 3, 2, 2, 4, 6, 7, 8, 7, 5, 3, 1, 0, 0, 2, 4, 6, 7, 8, 8, 7, 5, 4, 3, 2, 2, 2, 3, 4, 5, 4, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 8, 7, 6, 4, 2, 0, 0, 0, 0, 0, 1, 3, 4, 3, 1, 0, 0, 0, 4, 10, 12, 7, 0, 0, 8, 63, 162, 295, 435, 547, 598, 573, 479, 344, 204, 91, 22, 0, 0, 4, 12, 13, 7, 1, 0, 0, 1, 3, 5, 5, 4, 3, 4, 5, 6, 7, 7, 7, 8, 8, 8, 8, 8, 7, 5, 4, 2, 1, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 3, 2, 1, 1, 2, 3, 4, 5, 7, 7, 8, 7, 7, 6, 6, 5, 5, 4, 4, 5, 6, 7, 10, 12, 14, 15, 15, 15, 14, 13, 12, 11, 10, 8, 6, 5, 6, 9, 12, 14, 14, 11, 9, 12, 19, 27, 27, 15, 0, 0, 17, 118, 300, 544, 802, 1010, 1111, 1072, 903, 647, 368, 131, 0, 0, 83, 300, 575, 843, 1038, 1109, 1039, 850, 597, 345, 149, 32, 0, 0, 10, 22, 21, 12, 4, 3, 8, 16, 22, 24, 21, 17, 13, 10, 8, 7, 6, 5, 5, 6, 8, 12, 15, 17, 17, 16, 12, 8, 4, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 10, 14, 17, 17, 15, 11, 7, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 7, 5, 4, 2, 3, 4, 5, 6, 5, 4, 6, 13, 23, 30, 27, 11, 0, 0, 32, 150, 345, 590, 832, 1006, 1060, 979, 788, 541, 302, 122, 20, 0, 0, 12, 23, 22, 12, 3, 0, 0, 5, 9, 10, 10, 9, 9, 10, 10, 9, 7, 5, 4, 4, 5, 5, 3, 1, 1, 6, 15, 24, 24, 11, 0, 0, 22, 124, 297, 520, 744, 910, 968, 901, 730, 505, 286, 118, 21, 0, 0, 9, 18, 17, 9, 3, 4, 10, 17, 20, 18, 11, 4, 0, 0, 1, 4, 7, 9, 10, 11, 13, 15, 16, 14, 10, 8, 9, 16, 25, 29, 21, 2, 0, 0, 72, 224, 444, 695, 914, 1040, 1036, 897, 662, 391, 152, 0, 0, 59, 247, 486, 716, 878, 930, 862, 696, 481, 272, 112, 20, 0, 0, 11, 22, 21, 13, 4, 0, 0, 1, 3, 6, 9, 15, 23, 31, 37, 39, 36, 28, 18, 8, 1, 0, 0, 5, 13, 21, 27, 29, 29, 25, 20, 15, 11, 9, 8, 7, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 4, 4, 3, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 4, 6, 8, 9, 8, 6, 4, 2, 0, 0, 0, 2, 6, 10, 11, 10, 6, 0, 0, 0, 6, 12, 11, 3, 0, 0, 27, 104, 222, 361, 485, 558, 557, 483, 359, 220, 102, 26, 0, 0, 4, 14, 16, 11, 3, 0, 0, 0, 1, 2, 2, 2, 2, 4, 7, 10, 10, 9, 7, 3, 0, 0, 0, 2, 6, 11, 15, 16, 15, 12, 8, 3, 0, 0, 1, 6, 14, 23, 30, 33, 32, 26, 18, 10, 3, 0, 0, 0, 2, 5, 7, 8, 9, 8, 6, 3, 0, 0, 0, 2, 8, 14, 20, 23, 22, 18, 11, 5, 1, 2, 6, 13, 21, 27, 30, 28, 23, 16, 8, 3, 0, 0, 1, 3, 4, 5, 4, 3, 1, 0, 0, 0, 0, 0, 1, 3, 6, 8, 9, 8, 6, 4, 2, 3, 7, 14, 23, 31, 36, 37, 32, 25, 16, 8, 2, 0, 0, 1, 5, 11, 18, 23, 27, 26, 23, 17, 11, 6, 4, 4, 4, 2, 0, 0, 0, 3, 14, 24, 23, 9, 0, 0, 37, 158, 355, 599, 836, 1001, 1046, 956, 759, 512, 278, 105, 11, 0, 0, 14, 24, 20, 9, 0, 0, 1, 6, 10, 10, 6, 2, 0, 0, 0, 3, 6, 9, 12, 14, 15, 15, 15, 13, 11, 8, 5, 2, 0, 1, 3, 6, 9, 11, 11, 8, 5, 1, 0, 0, 2, 5, 8, 7, 4, 0, 0, 3, 11, 18, 17, 6, 0, 0, 32, 132, 294, 494, 688, 825, 864, 795, 638, 439, 247, 101, 18, 0, 0, 10, 20, 19, 13, 8, 7, 11, 17, 23, 26, 26, 24, 22, 20, 18, 17, 15, 12, 9, 8, 7, 8, 8, 8, 7, 5, 4, 5, 8, 14, 17, 14, 5, 0, 0, 25, 91, 195, 319, 436, 513, 528, 473, 361, 220, 88, 0, 0, 45, 185, 371, 562, 709, 774, 738, 616, 442, 263, 119, 29, 0, 0, 5, 14, 13, 6, 0, 0, 0, 6, 13, 17, 16, 11, 4, 0, 0, 2, 9, 14, 12, 3, 0, 0, 31, 110, 231, 376, 511, 598, 613, 550, 429, 282, 149, 53, 3, 0, 0, 8, 13, 11, 6, 2, 3, 7, 11, 13, 13, 12, 11, 10, 10, 9, 8, 6, 5, 6, 10, 14, 16, 14, 10, 6, 7, 13, 19, 20, 11, 0, 0, 18, 107, 262, 466, 674, 831, 890, 830, 666, 441, 216, 47, 0, 3, 129, 314, 509, 663, 737, 715, 606, 445, 273, 131, 38, 0, 0, 5, 16, 18, 13, 5, 0, 0, 2, 6, 7, 6, 4, 2, 1, 2, 4, 7, 10, 11, 10, 8, 5, 3, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 5, 9, 12, 14, 13, 10, 6, 2, 0, 0, 0, 2, 5, 8, 11, 11, 10, 8, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 3, 5, 5, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 1, 3, 6, 9, 10, 9, 5, 0, 0, 0, 2, 8, 10, 6, 0, 0, 7, 55, 141, 253, 369, 456, 488, 456, 370, 255, 142, 57, 8, 0, 0, 5, 9, 9, 6, 6, 9, 14, 17, 18, 15, 9, 4, 0, 0, 0, 0, 2, 4, 7, 9, 10, 10, 9, 6, 3, 2, 2, 4, 6, 8, 9, 8, 6, 3, 1, 0, 0, 0, 1, 2, 3, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 3, 7, 14, 20, 26, 28, 28, 24, 18, 11, 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, 1, 3, 5, 6, 6, 6, 4, 3, 1, 0, 0, 0, 0, 2, 5, 8, 12, 14, 14, 11, 7, 3, 0, 0, 0, 5, 11, 18, 23, 25, 23, 19, 13, 7, 2, 0, 2, 7, 14, 20, 22, 19, 12, 5, 4, 9, 17, 22, 15, 0, 0, 1, 73, 217, 421, 649, 843, 950, 938, 810, 606, 380, 187, 58, 0, 0, 2, 16, 21, 18, 14, 11, 9, 3, 0, 0, 15, 78, 188, 334, 483, 599, 646, 612, 506, 361, 213, 96, 24, 0, 0, 5, 12, 12, 8, 5, 8, 18, 30, 39, 41, 36, 27, 21, 20, 24, 24, 15, 0, 0, 5, 83, 233, 442, 670, 860, 957, 932, 793, 582, 356, 167, 46, 0, 0, 6, 21, 24, 17, 7, 2, 5, 15, 27, 38, 45, 47, 44, 38, 29, 20, 13, 7, 5, 8, 14, 22, 30, 35, 36, 32, 25, 15, 7, 1, 0, 1, 7, 14, 22, 27, 29, 28, 24, 18, 11, 6, 3, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 4, 5, 6, 6, 5, 3, 1, 0, 0, 0, 0, 1, 1, 3, 4, 6, 7, 8, 9, 8, 7, 5, 4, 4, 6, 8, 11, 13, 14, 14, 12, 10, 7, 5, 4, 5, 7, 9, 11, 13, 13, 11, 9, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 6, 6, 5, 3, 2, 0, 0, 0, 1, 2, 4, 6, 6, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 4, 7, 8, 9, 8, 6, 4, 1, 0, 0, 0, 1, 3, 4, 6, 6, 6, 5, 4, 3, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 3, 3, 1, 0, 0, 0, 8, 18, 23, 19, 4, 0, 0, 45, 157, 328, 529, 714, 830, 844, 752, 581, 379, 197, 68, 3, 0, 0, 12, 16, 11, 2, 0, 0, 7, 16, 22, 23, 18, 11, 5, 1, 0, 0, 0, 1, 2, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 2, 2, 5, 9, 16, 24, 31, 35, 34, 27, 17, 7, 3, 5, 11, 13, 9, 0, 0, 4, 59, 163, 305, 459, 585, 648, 629, 536, 394, 242, 116, 33, 0, 0, 6, 20, 27, 27, 23, 19, 17, 17, 18, 17, 16, 14, 13, 14, 15, 17, 19, 21, 21, 21, 21, 21, 21, 21, 20, 18, 16, 14, 12, 11, 11, 11, 12, 13, 14, 13, 12, 10, 9, 8, 8, 8, 8, 8, 6, 4, 2, 1, 1, 3, 7, 10, 12, 13, 11, 9, 6, 3, 1, 0, 0, 0, 2, 7, 11, 10, 3, 0, 0, 21, 77, 167, 277, 382, 454, 471, 424, 324, 197, 76, 0, 0, 51, 187, 365, 542, 672, 720, 674, 550, 384, 220, 93, 18, 0, 0, 8, 16, 15, 9, 2, 0, 0, 2, 4, 4, 3, 2, 0, 0, 0, 0, 2, 6, 14, 23, 31, 36, 35, 27, 16, 7, 3, 6, 12, 14, 8, 0, 0, 11, 79, 202, 364, 534, 666, 722, 686, 568, 404, 236, 103, 23, 0, 0, 7, 16, 17, 11, 6, 5, 9, 14, 17, 15, 11, 8, 10, 17, 25, 25, 12, 0, 0, 23, 123, 293, 512, 731, 892, 948, 879, 703, 466, 229, 50, 0, 1, 135, 339, 564, 753, 858, 855, 746, 566, 363, 185, 63, 3, 0, 1, 15, 23, 25, 24, 23, 18, 7, 0, 0, 26, 117, 270, 468, 670, 822, 879, 822, 662, 441, 218, 49, 0, 13, 152, 357, 574, 750, 837, 814, 687, 489, 271, 88, 0, 0, 110, 303, 526, 720, 833, 839, 739, 564, 365, 188, 65, 4, 0, 0, 11, 16, 12, 7, 7, 14, 25, 35, 39, 37, 29, 19, 12, 7, 7, 10, 14, 18, 20, 21, 20, 17, 14, 11, 8, 6, 7, 9, 12, 16, 18, 20, 18, 15, 10, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 6, 8, 9, 10, 10, 9, 7, 5, 4, 5, 7, 10, 12, 14, 13, 11, 7, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 9, 12, 13, 12, 9, 5, 2, 0, 0, 0, 2, 5, 7, 9, 10, 10, 9, 8, 6, 5, 4, 3, 1, 1, 1, 3, 5, 6, 6, 5, 6, 11, 20, 30, 31, 19, 0, 0, 9, 101, 273, 508, 759, 962, 1059, 1017, 845, 590, 319, 101, 0, 0, 109, 303, 517, 696, 792, 783, 677, 508, 321, 160, 53, 1, 0, 1, 12, 17, 16, 14, 13, 10, 2, 0, 0, 21, 89, 201, 342, 479, 573, 596, 540, 424, 280, 148, 53, 3, 0, 0, 6, 13, 15, 17, 17, 15, 6, 0, 0, 20, 94, 218, 378, 540, 661, 707, 664, 544, 383, 222, 95, 20, 0, 0, 7, 16, 16, 9, 2, 0, 0, 0, 3, 6, 7, 8, 9, 9, 9, 8, 6, 3, 2, 2, 6, 11, 17, 20, 21, 21, 22, 26, 32, 35, 27, 8, 0, 0, 46, 175, 377, 623, 856, 1014, 1049, 952, 752, 506, 276, 106, 11, 0, 0, 8, 26, 33, 27, 10, 0, 0, 10, 109, 289, 534, 799, 1017, 1127, 1096, 933, 686, 422, 200, 56, 0, 0, 6, 24, 29, 20, 8, 0, 0, 2, 9, 14, 14, 10, 7, 8, 13, 21, 23, 16, 0, 0, 1, 62, 184, 358, 551, 714, 802, 788, 672, 487, 279, 100, 0, 0, 59, 222, 427, 626, 769, 818, 760, 615, 425, 239, 97, 16, 0, 0, 9, 17, 15, 6, 0, 0, 0, 0, 3, 4, 3, 2, 2, 4, 7, 10, 12, 11, 9, 6, 2, 0, 0, 0, 3, 7, 12, 16, 17, 17, 14, 10, 6, 3, 1, 1, 1, 1, 3, 7, 14, 21, 23, 17, 3, 0, 0, 34, 120, 246, 391, 518, 591, 587, 508, 378, 234, 111, 30, 0, 0, 3, 16, 22, 21, 18, 16, 15, 15, 14, 13, 12, 12, 16, 21, 28, 34, 37, 36, 32, 26, 19, 13, 11, 12, 17, 22, 28, 30, 29, 25, 19, 13, 9, 8, 9, 12, 15, 18, 20, 20, 19, 16, 12, 7, 3, 1, 2, 7, 13, 20, 25, 27, 25, 19, 13, 7, 2, 1, 1, 5, 11, 21, 30, 35, 30, 13, 0, 0, 22, 114, 267, 458, 644, 776, 814, 747, 595, 402, 219, 84, 10, 0, 0, 10, 17, 13, 5, 0, 0, 0, 2, 6, 9, 11, 12, 13, 17, 23, 31, 36, 33, 19, 0, 0, 5, 75, 208, 392, 592, 759, 846, 827, 708, 522, 322, 153, 43, 0, 0, 3, 16, 18, 11, 2, 0, 0, 3, 9, 14, 15, 14, 13, 11, 10, 10, 10, 9, 7, 5, 3, 1, 0, 0, 0, 2, 3, 3, 3, 2, 1, 0, 0, 1, 2, 3, 4, 5, 7, 9, 13, 17, 21, 24, 26, 25, 23, 20, 17, 15, 13, 13, 14, 14, 14, 13, 11, 8, 4, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 4, 7, 10, 12, 13, 13, 12, 12, 14, 16, 19, 22, 24, 27, 29, 31, 31, 31, 27, 22, 15, 9, 4, 1, 2, 4, 5, 7, 6, 5, 3, 1, 0, 0, 0, 3, 9, 18, 28, 36, 40, 39, 32, 22, 12, 3, 0, 0, 4, 10, 16, 21, 21, 19, 14, 9, 4, 1, 0, 0, 0, 0, 1, 2, 2, 3, 4, 4, 3, 3, 3, 4, 7, 11, 15, 19, 20, 19, 16, 11, 7, 3, 1, 0, 0, 0, 0, 0, 0, 1, 3, 4, 5, 6, 6, 6, 7, 9, 11, 12, 13, 12, 10, 7, 4, 1, 0, 0, 0, 0, 0, 0, 1, 2, 4, 7, 9, 12, 14, 14, 14, 12, 9, 7, 5, 4, 6, 9, 14, 19, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 23, 25, 25, 23, 18, 13, 9, 5, 4, 5, 7, 10, 12, 12, 11, 8, 5, 2, 0, 0, 0, 1, 3, 4, 4, 4, 4, 4, 5, 7, 9, 10, 12, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 2, 2, 2, 2, 2, 1, 1, 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, 7, 15, 19, 15, 3, 0, 0, 46, 148, 300, 480, 646, 754, 770, 686, 521, 320, 135, 15, 0, 62, 213, 401, 576, 694, 725, 665, 536, 374, 218, 97, 25, 0, 0, 2, 9, 12, 12, 10, 6, 0, 0, 0, 27, 89, 190, 319, 450, 551, 594, 562, 460, 313, 161, 45, 0, 41, 164, 339, 524, 672, 745, 722, 609, 435, 243, 83, 0, 10, 116, 288, 481, 645, 737, 731, 631, 462, 271, 108, 17, 21, 118, 281, 464, 619, 707, 709, 629, 494, 338, 197, 92, 31, 6, 4, 10, 14, 12, 8, 4, 4, 7, 11, 14, 15, 12, 9, 5, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 4, 9, 11, 6, 0, 0, 8, 52, 132, 239, 354, 447, 490, 468, 384, 258, 126, 26, 0, 38, 161, 335, 518, 664, 732, 704, 584, 404, 214, 66, 0, 34, 157, 332, 509, 639, 686, 643, 526, 370, 216, 96, 24, 0, 0, 5, 12, 11, 5, 0, 0, 0, 0, 3, 4, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 5, 5, 4, 3, 1, 0, 0, 1, 3, 5, 6, 6, 5, 3, 1, 0, 0, 0, 1, 3, 5, 6, 6, 5, 4, 4, 4, 6, 7, 7, 5, 3, 4, 8, 14, 18, 15, 3, 0, 0, 39, 135, 285, 466, 639, 759, 791, 728, 586, 406, 233, 99, 21, 0, 0, 7, 15, 14, 7, 0, 0, 0, 5, 10, 13, 14, 14, 13, 12, 11, 10, 9, 10, 12, 17, 22, 26, 27, 26, 25, 25, 27, 29, 25, 11, 0, 0, 23, 114, 272, 481, 698, 872, 952, 914, 764, 541, 301, 104, 0, 0, 89, 261, 458, 630, 734, 746, 667, 521, 349, 191, 76, 13, 0, 0, 9, 15, 12, 5, 1, 1, 8, 17, 25, 31, 33, 31, 27, 21, 16, 11, 8, 7, 8, 9, 11, 13, 14, 14, 13, 11, 9, 7, 5, 3, 3, 4, 5, 6, 8, 9, 10, 10, 9, 8, 5, 3, 2, 1, 2, 4, 6, 7, 8, 7, 5, 4, 2, 0, 0, 0, 0, 1, 3, 5, 6, 6, 6, 4, 3, 3, 3, 4, 3, 2, 2, 5, 12, 18, 21, 14, 0, 0, 1, 61, 179, 349, 543, 714, 818, 826, 734, 570, 378, 204, 78, 10, 0, 0, 11, 17, 13, 5, 0, 0, 8, 19, 30, 37, 39, 36, 33, 32, 32, 31, 24, 9, 0, 0, 26, 118, 270, 464, 659, 806, 865, 819, 681, 490, 295, 138, 40, 0, 0, 3, 11, 11, 6, 3, 3, 4, 3, 0, 0, 11, 57, 141, 258, 387, 496, 555, 546, 468, 340, 194, 68, 0, 0, 67, 200, 363, 516, 623, 657, 612, 503, 360, 216, 101, 29, 0, 0, 7, 18, 22, 20, 13, 7, 3, 2, 3, 4, 5, 6, 7, 8, 8, 7, 7, 6, 4, 3, 3, 3, 4, 6, 8, 9, 8, 7, 7, 9, 12, 17, 22, 24, 22, 19, 17, 19, 22, 23, 16, 1, 0, 0, 56, 179, 365, 582, 783, 914, 938, 847, 668, 451, 249, 99, 16, 0, 0, 9, 16, 13, 4, 0, 0, 0, 1, 4, 5, 4, 1, 0, 0, 0, 0, 1, 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, 7, 12, 16, 19, 20, 18, 14, 9, 5, 3, 2, 3, 5, 6, 6, 5, 3, 2, 0, 0, 0, 0, 0, 0, 1, 3, 6, 9, 11, 11, 9, 7, 4, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 3, 6, 8, 9, 8, 6, 4, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 4, 7, 12, 20, 28, 33, 35, 32, 28, 25, 23, 21, 15, 3, 0, 0, 35, 126, 270, 449, 626, 756, 803, 755, 624, 447, 268, 124, 34, 0, 0, 3, 11, 12, 7, 0, 0, 0, 0, 3, 6, 7, 8, 9, 8, 8, 6, 4, 2, 1, 0, 0, 0, 0, 0, 2, 3, 4, 5, 5, 4, 2, 2, 2, 3, 3, 3, 1, 0, 1, 7, 14, 19, 17, 5, 0, 0, 38, 134, 288, 479, 667, 805, 853, 793, 639, 429, 220, 68, 15, 73, 228, 438, 648, 802, 859, 806, 657, 451, 245, 91, 29, 72, 205, 390, 573, 705, 749, 694, 556, 371, 189, 58, 13, 65, 201, 384, 566, 699, 747, 697, 563, 380, 196, 60, 9, 54, 184, 363, 542, 676, 731, 698, 590, 437, 278, 144, 53, 7, 0, 1, 10, 14, 11, 5, 0, 0, 0, 0, 2, 3, 3, 2, 1, 0, 0, 0, 1, 4, 9, 14, 20, 24, 25, 23, 19, 13, 8, 4, 4, 4, 5, 4, 1, 0, 2, 7, 13, 15, 8, 0, 0, 13, 82, 209, 382, 570, 730, 819, 811, 711, 546, 360, 195, 77, 12, 0, 0, 1, 10, 14, 13, 7, 0, 0, 0, 45, 145, 300, 492, 682, 823, 877, 826, 680, 476, 263, 90, 0, 0, 80, 224, 389, 533, 621, 635, 575, 461, 322, 189, 87, 24, 0, 0, 8, 17, 19, 16, 10, 5, 2, 3, 4, 6, 8, 8, 8, 8, 8, 7, 6, 5, 3, 1, 0, 0, 0, 0, 2, 4, 6, 7, 7, 5, 3, 1, 0, 0, 1, 3, 4, 6, 6, 6, 6, 5, 5, 5, 6, 6, 6, 5, 5, 6, 10, 16, 20, 19, 10, 0, 0, 18, 89, 214, 383, 568, 726, 816, 813, 714, 543, 344, 168, 60, 47, 130, 286, 470, 634, 732, 738, 650, 492, 308, 148, 58, 60, 154, 313, 491, 640, 719, 711, 621, 477, 315, 172, 69, 14, 0, 0, 6, 10, 7, 2, 0, 0, 0, 1, 3, 3, 2, 2, 1, 1, 2, 2, 3, 5, 7, 9, 12, 16, 19, 21, 22, 20, 16, 12, 8, 5, 4, 4, 4, 3, 2, 2, 5, 11, 16, 16, 6, 0, 0, 24, 108, 252, 439, 635, 792, 869, 844, 726, 545, 350, 181, 65, 6, 0, 0, 9, 12, 8, 1, 0, 0, 0, 2, 4, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 3, 8, 10, 6, 0, 0, 10, 58, 146, 268, 404, 524, 595, 595, 521, 390, 238, 109, 40, 54, 152, 309, 485, 634, 717, 716, 633, 493, 333, 186, 78, 17, 0, 0, 11, 20, 21, 16, 9, 4, 2, 2, 5, 8, 10, 11, 11, 9, 7, 6, 7, 11, 18, 25, 30, 32, 30, 27, 24, 24, 23, 19, 8, 0, 0, 24, 105, 242, 425, 621, 786, 878, 870, 760, 575, 359, 166, 44, 20, 100, 264, 470, 667, 807, 855, 800, 657, 461, 258, 99, 17, 30, 131, 291, 471, 624, 713, 717, 636, 489, 315, 157, 55, 36, 104, 241, 411, 570, 678, 707, 655, 538, 387, 238, 118, 41, 3, 0, 0, 2, 6, 6, 5, 2, 0, 0, 0, 29, 91, 188, 308, 427, 516, 550, 521, 436, 318, 196, 96, 30, 0, 0, 0, 6, 8, 4, 0, 0, 0, 0, 3, 5, 4, 2, 0, 0, 0, 2, 6, 7, 4, 0, 0, 10, 51, 125, 223, 331, 422, 476, 478, 428, 339, 234, 136, 61, 16, 0, 0, 5, 12, 14, 13, 9, 6, 6, 7, 10, 13, 15, 15, 13, 11, 8, 7, 7, 10, 14, 20, 25, 29, 31, 30, 27, 22, 18, 14, 14, 16, 21, 27, 33, 37, 38, 38, 37, 36, 33, 25, 11, 0, 0, 17, 89, 215, 385, 570, 732, 831, 842, 762, 613, 432, 258, 122, 36, 0, 0, 5, 16, 21, 19, 14, 9, 7, 7, 10, 12, 14, 14, 13, 12, 9, 6, 4, 1, 0, 0, 0, 1, 1, 2, 3, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 3, 5, 6, 7, 8, 9, 12, 17, 22, 27, 30, 30, 30, 29, 27, 22, 12, 0, 0, 5, 58, 162, 313, 491, 658, 777, 815, 763, 635, 464, 289, 145, 49, 3, 0, 0, 8, 10, 6, 0, 0, 0, 6, 17, 29, 37, 42, 41, 38, 31, 24, 18, 12, 7, 3, 1, 1, 1, 2, 3, 4, 3, 2, 2, 3, 7, 13, 20, 25, 28, 28, 27, 26, 26, 23, 16, 3, 0, 0, 36, 125, 265, 443, 624, 769, 839, 818, 710, 544, 360, 196, 79, 15, 0, 0, 6, 10, 8, 2, 0, 0, 0, 3, 7, 8, 7, 4, 2, 2, 6, 11, 14, 11, 2, 0, 0, 36, 118, 246, 406, 567, 694, 754, 734, 637, 489, 325, 180, 75, 16, 0, 0, 4, 8, 7, 1, 0, 0, 1, 7, 13, 19, 22, 23, 22, 21, 19, 16, 13, 10, 6, 3, 0, 0, 0, 2, 4, 6, 7, 7, 5, 3, 1, 0, 0, 0, 1, 2, 3, 3, 2, 1, 0, 1, 3, 6, 9, 10, 11, 12, 13, 15, 16, 11, 2, 0, 0, 33, 112, 237, 396, 561, 694, 763, 749, 657, 510, 344, 193, 82, 19, 0, 0, 5, 10, 10, 5, 1, 0, 0, 2, 4, 6, 6, 6, 5, 4, 4, 3, 4, 5, 7, 11, 16, 20, 24, 25, 24, 21, 16, 11, 7, 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, 1, 2, 3, 4, 3, 3, 2, 3, 4, 8, 12, 16, 18, 18, 15, 11, 6, 4, 3, 4, 5, 5, 3, 2, 3, 8, 13, 14, 8, 0, 0, 13, 81, 207, 382, 580, 759, 876, 901, 829, 679, 488, 301, 150, 51, 4, 0, 0, 7, 9, 5, 0, 0, 0, 1, 7, 12, 16, 19, 22, 23, 22, 19, 15, 11, 7, 4, 4, 5, 6, 5, 5, 5, 8, 11, 13, 9, 0, 0, 3, 46, 138, 277, 449, 622, 757, 821, 794, 682, 512, 324, 163, 68, 58, 131, 266, 426, 570, 662, 681, 626, 513, 370, 229, 115, 41, 5, 0, 0, 5, 7, 4, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 3, 5, 7, 9, 10, 11, 10, 8, 6, 5, 4, 5, 8, 13, 18, 22, 25, 26, 25, 21, 17, 13, 11, 11, 13, 18, 24, 29, 33, 34, 33, 29, 23, 16, 11, 6, 4, 3, 3, 4, 5, 6, 5, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 4, 7, 7, 3, 0, 0, 16, 63, 146, 256, 378, 486, 553, 561, 507, 403, 278, 165, 95, 89, 149, 261, 396, 518, 595, 607, 551, 442, 308, 186, 108, 94, 147, 252, 381, 500, 579, 597, 554, 459, 337, 214, 111, 40, 3, 0, 0, 10, 15, 10, 0, 0, 1, 48, 142, 282, 452, 622, 756, 824, 810, 717, 569, 399, 239, 114, 36, 1, 0, 5, 15, 20, 17, 11, 5, 1, 0, 1, 3, 4, 5, 4, 3, 2, 2, 2, 3, 4, 5, 6, 7, 8, 8, 7, 6, 5, 3, 2, 1, 1, 1, 1, 1, 1, 1, 3, 6, 10, 12, 10, 4, 0, 0, 20, 76, 170, 295, 432, 553, 633, 651, 604, 502, 371, 237, 126, 49, 9, 0, 0, 3, 6, 4, 2, 2, 6, 11, 17, 20, 20, 18, 17, 16, 15, 11, 4, 0, 0, 17, 70, 163, 291, 437, 572, 666, 697, 658, 557, 419, 275, 151, 63, 14, 0, 0, 1, 5, 6, 5, 1, 0, 0, 2, 26, 75, 149, 242, 339, 422, 471, 475, 435, 358, 264, 170, 91, 36, 5, 0, 0, 4, 10, 10, 4, 0, 0, 19, 85, 199, 353, 526, 682, 788, 818, 766, 644, 482, 315, 172, 71, 14, 0, 0, 5, 13, 14, 7, 0, 0, 8, 66, 174, 330, 514, 695, 833, 897, 873, 768, 605, 421, 252, 121, 40, 3, 0, 0, 6, 7, 4, 1, 2, 8, 17, 27, 35, 40, 41, 39, 35, 30, 25, 20, 16, 14, 13, 15, 18, 22, 26, 29, 29, 27, 22, 15, 9, 4, 1, 1, 1, 3, 3, 3, 2, 1, 0, 0, 1, 5, 10, 15, 20, 23, 25, 24, 22, 18, 14, 11, 9, 9, 12, 18, 25, 33, 39, 42, 41, 36, 29, 20, 13, 10, 11, 16, 23, 31, 38, 41, 40, 36, 29, 22, 14, 9, 5, 2, 1, 0, 0, 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, 2, 5, 8, 11, 13, 13, 12, 9, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 9, 12, 15, 17, 18, 17, 15, 13, 11, 12, 15, 21, 28, 34, 37, 38, 35, 32, 28, 22, 13, 3, 0, 0, 28, 96, 206, 349, 502, 636, 719, 732, 672, 554, 405, 256, 134, 50, 6, 0, 0, 5, 12, 12, 5, 0, 0, 10, 64, 166, 314, 494, 674, 820, 900, 896, 809, 659, 479, 304, 160, 63, 12, 0, 0, 7, 11, 10, 6, 4, 6, 11, 19, 27, 34, 37, 37, 35, 30, 24, 19, 16, 16, 19, 26, 33, 38, 40, 38, 34, 28, 23, 17, 9, 0, 0, 2, 35, 106, 217, 360, 514, 649, 736, 753, 697, 579, 427, 273, 144, 56, 10, 0, 0, 4, 7, 5, 0, 0, 0, 0, 3, 5, 5, 3, 0, 0, 0, 1, 3, 3, 1, 0, 0, 12, 44, 98, 172, 254, 330, 383, 402, 383, 330, 256, 175, 104, 50, 16, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 3, 4, 6, 8, 11, 13, 13, 12, 10, 9, 8, 9, 10, 9, 6, 0, 0, 3, 32, 91, 184, 304, 433, 549, 628, 652, 616, 527, 405, 274, 158, 72, 21, 0, 0, 0, 4, 4, 1, 0, 0, 0, 0, 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, 1, 0, 0, 0, 0, 4, 6, 4, 0, 0, 6, 42, 114, 224, 360, 501, 620, 690, 696, 636, 524, 384, 246, 131, 52, 10, 0, 0, 3, 5, 4, 0, 0, 0, 1, 4, 6, 6, 6, 6, 7, 8, 8, 5, 0, 0, 8, 45, 118, 229, 368, 513, 638, 716, 728, 671, 558, 415, 276, 173, 128, 148, 223, 334, 449, 541, 587, 578, 517, 418, 303, 192, 102, 42, 10, 0, 0, 2, 3, 3, 3, 6, 11, 20, 29, 37, 42, 43, 40, 35, 28, 21, 15, 10, 7, 5, 3, 2, 1, 0, 0, 0, 0, 2, 5, 9, 14, 19, 24, 28, 30, 30, 28, 23, 17, 11, 8, 6, 7, 9, 10, 10, 7, 5, 3, 3, 4, 4, 2, 0, 0, 9, 40, 98, 180, 277, 372, 446, 484, 476, 426, 344, 248, 157, 83, 33, 7, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 7, 8, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 3, 5, 7, 9, 11, 14, 16, 17, 18, 17, 16, 13, 10, 6, 3, 2, 1, 1, 1, 0, 0, 0, 1, 3, 3, 1, 0, 0, 8, 39, 95, 177, 276, 374, 454, 500, 501, 459, 384, 291, 198, 118, 60, 25, 9, 5, 6, 7, 7, 7, 7, 9, 14, 20, 26, 30, 32, 32, 30, 27, 22, 15, 5, 0, 0, 19, 68, 151, 268, 404, 540, 651, 713, 715, 657, 550, 418, 286, 173, 92, 44, 22, 18, 19, 21, 17, 9, 0, 0, 1, 31, 91, 184, 303, 435, 557, 647, 686, 666, 591, 476, 344, 218, 116, 47, 10, 0, 0, 2, 4, 3, 0, 0, 0, 0, 1, 3, 4, 6, 6, 7, 8, 10, 14, 18, 24, 29, 33, 35, 34, 32, 28, 25, 22, 21, 22, 25, 28, 32, 35, 36, 36, 34, 30, 25, 20, 16, 14, 14, 17, 21, 25, 28, 30, 30, 28, 24, 20, 15, 11, 9, 7, 5, 5, 4, 3, 2, 2, 2, 2, 2, 0, 0, 0, 9, 32, 72, 128, 195, 264, 322, 357, 363, 339, 289, 225, 157, 98, 53, 25, 12, 10, 13, 17, 19, 19, 17, 14, 11, 8, 6, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 3, 1, 0, 0, 4, 23, 60, 114, 181, 250, 310, 347, 355, 333, 286, 223, 157, 97, 50, 19, 3, 0, 0, 1, 2, 0, 0, 0, 15, 49, 107, 189, 285, 383, 462, 507, 507, 462, 385, 295, 219, 176, 180, 230, 314, 409, 491, 538, 540, 495, 418, 328, 252, 210, 214, 264, 347, 442, 522, 566, 563, 512, 428, 333, 252, 206, 208, 257, 338, 431, 511, 557, 557, 510, 426, 322, 218, 128, 62, 22, 4, 0, 0, 3, 6, 11, 18, 27, 36, 43, 47, 47, 43, 38, 31, 25, 19, 15, 12, 9, 8, 7, 8, 9, 10, 12, 13, 15, 18, 21, 26, 30, 35, 38, 39, 37, 33, 28, 23, 20, 19, 20, 22, 26, 29, 33, 35, 38, 38, 37, 32, 23, 14, 10, 19, 48, 105, 190, 297, 413, 520, 598, 634, 619, 557, 461, 347, 233, 136, 64, 20, 0, 0, 1, 4, 3, 0, 0, 7, 43, 113, 219, 352, 495, 623, 714, 750, 723, 640, 516, 375, 241, 131, 56, 14, 0, 0, 1, 3, 2, 0, 0, 0, 0, 2, 3, 4, 3, 1, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 6, 7, 7, 6, 6, 6, 7, 8, 11, 14, 16, 17, 16, 14, 10, 7, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 8, 11, 13, 15, 17, 18, 18, 18, 17, 15, 14, 13, 13, 15, 18, 23, 28, 32, 35, 34, 31, 26, 21, 18, 16, 17, 20, 23, 25, 26, 26, 24, 21, 18, 16, 15, 15, 16, 19, 22, 24, 26, 27, 27, 25, 23, 20, 18, 16, 16, 18, 21, 25, 29, 31, 31, 29, 25, 19, 12, 7, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 3, 3, 4, 6, 10, 15, 20, 24, 25, 24, 21, 17, 13, 10, 7, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 5, 5, 5, 7, 9, 11, 12, 12, 8, 3, 0, 2, 18, 54, 116, 202, 306, 416, 515, 585, 615, 598, 538, 446, 338, 232, 141, 73, 31, 9, 2, 0, 0, 0, 4, 24, 68, 140, 239, 356, 475, 577, 646, 668, 640, 568, 466, 352, 242, 149, 82, 39, 17, 9, 8, 10, 11, 12, 12, 12, 12, 12, 12, 11, 11, 10, 9, 8, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 7, 7, 6, 3, 0, 0, 5, 25, 64, 122, 193, 268, 335, 381, 399, 385, 343, 281, 211, 143, 85, 43, 17, 4, 0, 0, 0, 2, 4, 8, 13, 18, 22, 25, 27, 27, 27, 26, 26, 25, 24, 22, 20, 19, 19, 21, 24, 29, 32, 34, 33, 30, 25, 21, 18, 18, 21, 27, 34, 41, 45, 46, 43, 36, 25, 13, 2, 1, 17, 58, 128, 227, 346, 469, 579, 655, 687, 667, 600, 500, 381, 263, 161, 84, 33, 7, 0, 0, 3, 8, 12, 16, 21, 26, 32, 37, 41, 41, 39, 34, 28, 21, 16, 12, 10, 9, 8, 8, 7, 5, 5, 4, 2, 0, 0, 0, 7, 26, 61, 113, 179, 251, 318, 371, 399, 399, 371, 319, 253, 182, 116, 64, 27, 7, 0, 0, 0, 1, 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, 1, 3, 5, 8, 11, 12, 11, 10, 8, 6, 5, 6, 8, 10, 10, 7, 2, 0, 3, 25, 73, 153, 263, 392, 524, 635, 707, 727, 691, 611, 505, 399, 316, 273, 276, 320, 390, 465, 525, 554, 544, 495, 417, 321, 225, 140, 75, 32, 9, 0, 0, 2, 5, 8, 11, 15, 21, 27, 33, 38, 41, 42, 39, 34, 27, 18, 12, 13, 28, 63, 123, 209, 314, 425, 526, 599, 630, 614, 553, 460, 352, 244, 152, 83, 38, 13, 3, 0, 0, 0, 0, 1, 3, 7, 10, 13, 14, 13, 10, 7, 4, 3, 8, 22, 52, 100, 169, 256, 350, 440, 510, 547, 544, 501, 426, 333, 237, 150, 82, 37, 11, 1, 0, 0, 0, 0, 1, 2, 6, 10, 15, 19, 22, 23, 23, 21, 19, 16, 12, 9, 6, 5, 5, 7, 9, 11, 12, 12, 11, 9, 5, 4, 6, 17, 41, 80, 134, 199, 268, 330, 375, 396, 388, 353, 297, 231, 165, 106, 61, 31, 14, 5, 1, 0, 0, 9, 32, 77, 148, 244, 357, 474, 577, 649, 678, 659, 597, 507, 408, 324, 273, 264, 298, 362, 439, 507, 549, 555, 522, 458, 375, 287, 206, 140, 92, 61, 44, 36, 32, 31, 30, 29, 29, 31, 35, 40, 46, 51, 54, 53, 50, 45, 40, 36, 34, 34, 36, 39, 42, 45, 46, 45, 42, 38, 32, 26, 21, 16, 13, 11, 10, 10, 10, 11, 12, 14, 18, 23, 29, 37, 44, 50, 54, 54, 50, 43, 34, 26, 21, 23, 38, 71, 124, 200, 293, 394, 491, 570, 616, 621, 586, 519, 436, 355, 297, 274, 292, 345, 419, 495, 552, 576, 560, 508, 432, 350, 282, 244, 245, 283, 346, 419, 480, 514, 512, 475, 413, 343, 283, 249, 246, 275, 327, 388, 441, 473, 477, 450, 397, 326, 248, 173, 111, 64, 33, 14, 3, 0, 0, 8, 32, 76, 143, 231, 332, 434, 523, 586, 613, 600, 549, 469, 371, 269, 175, 99, 46, 14, 1, 0, 0, 1, 1, 0, 0, 0, 1, 4, 8, 10, 11, 9, 6, 2, 0, 4, 21, 53, 106, 176, 260, 346, 422, 477, 502, 493, 452, 386, 306, 223, 146, 84, 41, 14, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 8, 23, 50, 90, 143, 205, 271, 330, 373, 391, 383, 351, 305, 259, 227, 218, 237, 280, 339, 399, 446, 469, 464, 432, 381, 326, 282, 260, 267, 302, 357, 418, 470, 499, 498, 464, 403, 326, 242, 164, 100, 53, 23, 6, 0, 0, 0, 1, 3, 7, 11, 15, 19, 22, 23, 22, 21, 18, 15, 12, 9, 6, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 3, 2, 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, 0, 2, 3, 4, 4, 3, 2, 1, 0, 1, 3, 5, 6, 5, 2, 0, 0, 8, 29, 63, 111, 169, 232, 291, 339, 369, 377, 362, 327, 276, 217, 157, 103, 60, 29, 10, 1, 0, 0, 3, 7, 11, 16, 22, 26, 30, 31, 31, 30, 27, 25, 23, 21, 21, 22, 24, 25, 27, 28, 29, 29, 28, 26, 24, 20, 17, 13, 11, 9, 9, 9, 10, 10, 11, 12, 14, 17, 21, 27, 32, 37, 40, 40, 37, 33, 27, 22, 21, 26, 43, 74, 123, 191, 274, 365, 453, 525, 571, 581, 555, 495, 411, 316, 222, 140, 78, 35, 11, 1, 0, 0, 0, 1, 2, 3, 5, 6, 8, 8, 7, 6, 5, 3, 2, 1, 2, 3, 5, 9, 12, 16, 18, 20, 21, 20, 18, 16, 13, 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, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 6, 19, 42, 76, 120, 172, 225, 273, 309, 327, 324, 301, 264, 217, 167, 122, 84, 55, 36, 23, 16, 12, 10, 8, 7, 7, 6, 5, 5, 6, 7, 8, 9, 10, 10, 9, 8, 7, 7, 7, 7, 8, 7, 6, 4, 2, 1, 0, 0, 0, 0, 1, 2, 3, 4, 4, 3, 2, 1, 2, 4, 7, 12, 16, 20, 22, 21, 20, 19, 18, 19, 22, 27, 31, 36, 39, 41, 41, 40, 38, 34, 31, 28, 27, 32, 46, 73, 116, 176, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 252, 338, 424, 498, 549, 568, 552, 503, 431, 346, 261, 185, 125, 81, 53, 36, 26, 21, 17, 14, 12, 11, 10, 10, 9, 9, 9, 8, 7, 7, 6, 5, 4, 3, 3, 3, 3, 4, 6, 8, 10, 12, 14, 15, 17, 20, 24, 28, 32, 36, 38, 37, 33, 29, 26, 30, 45, 77, 128, 198, 283, 374, 458, 523, 559, 561, 529, 468, 389, 302, 219, 145, 88, 46, 20, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 8, 9, 11, 11, 11, 11, 10, 9, 8, 6, 5, 4, 3, 3, 4, 4, 5, 4, 4, 3, 2, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 9, 12, 15, 19, 21, 23, 23, 21, 19, 15, 12, 10, 8, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 7, 10, 17, 30, 51, 83, 128, 187, 257, 332, 404, 463, 499, 507, 487, 445, 391, 338, 298, 278, 281, 304, 340, 378, 409, 423, 417, 388, 342, 284, 222, 164, 115, 79, 54, 39, 30, 25, 21, 17, 14, 12, 10, 9, 10, 11, 12, 12, 12, 11, 9, 9, 12, 21, 38, 64, 98, 139, 183, 225, 259, 282, 291, 287, 272, 251, 232, 221, 223, 242, 276, 322, 371, 414, 442, 447, 429, 388, 330, 264, 198, 138, 88, 51, 25, 9, 1, 0, 0, 6, 19, 38, 67, 103, 146, 193, 240, 281, 310, 325, 322, 301, 265, 220, 170, 121, 79, 46, 24, 10, 4, 3, 5, 7, 11, 14, 18, 21, 24, 26, 27, 26, 25, 22, 19, 15, 11, 7, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 11, 25, 47, 77, 112, 149, 184, 211, 228, 233, 225, 205, 176, 142, 106, 72, 43, 21, 7, 0, 0, 0, 2, 4, 6, 8, 10, 14, 18, 23, 25, 26, 24, 21, 20, 24, 36, 61, 100, 155, 225, 306, 393, 477, 548, 597, 616, 601, 554, 481, 393, 301, 215, 142, 85, 45, 19, 5, 0, 0, 3, 8, 13, 18, 21, 22, 22, 22, 22, 23, 24, 25, 26, 26, 26, 26, 28, 30, 33, 37, 39, 41, 41, 40, 40, 45, 57, 80, 118, 171, 237, 312, 388, 455, 503, 528, 526, 497, 448, 385, 315, 245, 182, 129, 87, 57, 38, 27, 21, 18, 15, 12, 9, 6, 3, 3, 4, 6, 9, 12, 15, 17, 20, 22, 25, 29, 34, 38, 41, 41, 38, 35, 34, 40, 56, 86, 132, 193, 264, 338, 409, 467, 505, 517, 503, 464, 406, 336, 262, 191, 130, 81, 45, 22, 8, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 5, 5, 5, 4, 3, 2, 3, 4, 6, 10, 17, 28, 48, 77, 118, 171, 233, 299, 362, 413, 445, 454, 438, 401, 347, 283, 218, 158, 106, 66, 37, 18, 7, 1, 0, 1, 3, 5, 6, 7, 7, 6, 6, 6, 8, 12, 20, 34, 55, 86, 128, 180, 239, 300, 357, 402, 430, 440, 431, 407, 375, 342, 316, 302, 305, 322, 351, 382, 409, 425, 425, 409, 383, 353, 327, 311, 308, 319, 340, 366, 388, 402, 404, 393, 372, 346, 322, 305, 301, 309, 329, 356, 381, 400, 404, 392, 364, 321, 269, 213, 159, 111, 72, 42, 21, 9, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 6, 10, 19, 35, 59, 93, 139, 195, 259, 326, 391, 445, 482, 496, 484, 450, 396, 331, 263, 198, 142, 97, 64, 42, 28, 19, 14, 11, 8, 6, 4, 2, 1, 1, 2, 4, 7, 9, 11, 13, 15, 18, 21, 24, 26, 27, 27, 26, 25, 26, 32, 44, 65, 96, 139, 192, 254, 321, 386, 442, 482, 500, 492, 460, 407, 342, 270, 200, 137, 86, 47, 21, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 6, 10, 15, 19, 23, 24, 24, 24, 24, 26, 33, 45, 66, 96, 137, 188, 248, 313, 378, 436, 480, 504, 504, 480, 434, 372, 302, 233, 169, 117, 77, 49, 31, 20, 15, 15, 20, 32, 52, 81, 118, 161, 207, 250, 286, 310, 320, 314, 294, 264, 227, 189, 151, 117, 88, 64, 45, 31, 22, 17, 15, 15, 17, 20, 25, 29, 33, 36, 37, 36, 33, 29, 24, 19, 14, 11, 8, 6, 5, 4, 3, 2, 0, 0, 0, 0, 2, 5, 8, 12, 14, 16, 16, 16, 16, 14, 12, 10, 7, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 3, 9, 21, 38, 62, 93, 130, 171, 212, 249, 278, 296, 299, 288, 264, 229, 189, 147, 108, 74, 46, 26, 13, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 6, 15, 29, 49, 75, 105, 136, 168, 195, 216, 229, 232, 224, 208, 185, 156, 124, 92, 63, 38, 19, 7, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 3, 2, 2, 5, 12, 24, 43, 71, 108, 156, 212, 273, 333, 386, 425, 445, 444, 423, 385, 335, 278, 220, 165, 115, 75, 43, 21, 8, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 3, 6, 9, 12, 15, 18, 20, 22, 24, 26, 28, 28, 28, 26, 23, 21, 19, 18, 19, 21, 22, 24, 25, 25, 24, 22, 21, 18, 16, 12, 9, 6, 3, 1, 0, 0, 0, 1, 2, 3, 4, 6, 9, 13, 19, 24, 28, 30, 31, 30, 27, 24, 20, 17, 13, 10, 7, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 6, 10, 14, 20, 24, 26, 26, 25, 22, 20, 18, 17, 18, 18, 19, 20, 20, 21, 21, 22, 21, 21, 20, 19, 19, 19, 20, 21, 22, 23, 24, 25, 26, 28, 29, 30, 30, 30, 30, 30, 31, 32, 32, 33, 32, 31, 28, 25, 21, 16, 11, 6, 2, 0, 0, 0, 1, 2, 3, 5, 6, 8, 10, 13, 16, 18, 20, 20, 20, 19, 18, 16, 13, 10, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 7, 10, 12, 12, 11, 9, 7, 6, 6, 6, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 3, 5, 9, 13, 17, 20, 22, 23, 24, 25, 28, 34, 45, 62, 87, 120, 163, 216, 277, 343, 407, 464, 508, 532, 534, 515, 477, 425, 364, 301, 239, 183, 135, 96, 66, 45, 31, 22, 17, 14, 13, 12, 11, 9, 8, 8, 8, 10, 14, 18, 21, 24, 25, 26, 25, 25, 26, 27, 28, 29, 30, 32, 33, 36, 38, 41, 42, 42, 42, 41, 42, 45, 53, 64, 82, 106, 138, 178, 226, 281, 339, 392, 436, 464, 472, 459, 428, 384, 331, 276, 222, 174, 132, 98, 70, 51, 37, 29, 26, 25, 26, 26, 27, 27, 28, 29, 30, 31, 30, 29, 26, 22, 17, 14, 10, 8, 6, 5, 4, 3, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 3, 2, 2, 1, 1, 1, 3, 4, 5, 5, 4, 3, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 3, 5, 8, 12, 18, 27, 40, 58, 82, 113, 148, 188, 230, 271, 306, 334, 352, 357, 349, 329, 299, 260, 217, 174, 134, 100, 73, 52, 38, 27, 19, 13, 8, 5, 3, 2, 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, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 3, 4, 5, 4, 3, 3, 4, 8, 16, 28, 45, 66, 93, 123, 156, 189, 220, 246, 265, 275, 275, 264, 244, 217, 184, 149, 115, 84, 57, 37, 23, 17, 17, 23, 35, 52, 73, 98, 126, 156, 187, 215, 238, 253, 257, 251, 235, 210, 181, 151, 121, 94, 71, 52, 37, 26, 19, 15, 13, 13, 14, 16, 17, 19, 20, 22, 22, 22, 21, 19, 16, 14, 12, 12, 12, 14, 16, 19, 24, 32, 45, 64, 92, 128, 173, 224, 279, 335, 385, 426, 454, 464, 457, 434, 396, 348, 294, 238, 185, 137, 95, 62, 37, 20, 9, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 2, 1, 0, 0, 0, 1, 3, 5, 7, 8, 8, 7, 6, 4, 3, 2, 1, 1, 3, 6, 10, 14, 17, 19, 19, 19, 18, 17, 18, 19, 20, 20, 20, 20, 20, 20, 21, 23, 25, 26, 26, 25, 22, 19, 16, 12, 8, 5, 2, 0, 0, 0, 0, 1, 1, 1, 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, 1, 2, 4, 5, 6, 7, 8, 9, 11, 13, 14, 15, 14, 12, 10, 7, 6, 5, 5, 6, 8, 12, 18, 28, 41, 58, 81, 110, 145, 187, 233, 280, 323, 359, 384, 394, 389, 372, 342, 305, 263, 218, 174, 134, 100, 72, 52, 39, 32, 32, 37, 47, 63, 84, 109, 138, 168, 197, 225, 247, 262, 270, 267, 256, 236, 209, 179, 148, 120, 94, 73, 56, 43, 32, 24, 18, 13, 10, 9, 8, 8, 8, 8, 7, 5, 3, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 4, 5, 5, 5, 5, 5, 6, 6, 7, 8, 7, 7, 6, 5, 6, 8, 11, 17, 26, 38, 53, 73, 98, 125, 154, 183, 210, 233, 250, 259, 262, 256, 242, 222, 198, 170, 142, 117, 95, 78, 66, 60, 59, 64, 76, 95, 121, 154, 193, 235, 276, 314, 345, 367, 378, 377, 365, 343, 311, 272, 230, 188, 147, 110, 79, 53, 33, 18, 8, 2, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 12, 19, 29, 42, 58, 77, 100, 125, 152, 178, 202, 221, 235, 242, 241, 232, 216, 194, 166, 137, 108, 82, 61, 44, 33, 24, 18, 13, 9, 7, 6, 8, 12, 16, 21, 23, 24, 23, 22, 20, 19, 19, 21, 22, 24, 26, 28, 30, 31, 32, 32, 32, 31, 29, 28, 27, 26, 25, 24, 22, 20, 20, 19, 19, 19, 18, 15, 11, 7, 3, 1, 1, 3, 4, 6, 7, 7, 8, 10, 12, 16, 20, 23, 24, 24, 23, 20, 17, 15, 14, 13, 12, 11, 9, 7, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 7, 10, 12, 14, 15, 15, 16, 19, 22, 25, 27, 28, 27, 26, 24, 24, 25, 27, 30, 34, 37, 39, 42, 45, 50, 59, 72, 91, 117, 148, 184, 223, 262, 301, 338, 370, 395, 410, 413, 404, 381, 348, 307, 263, 220, 180, 144, 113, 89, 69, 54, 44, 37, 33, 32, 31, 32, 32, 33, 33, 31, 29, 24, 19, 14, 10, 7, 7, 8, 11, 13, 15, 15, 15, 15, 15, 17, 19, 22, 26, 28, 29, 30, 29, 28, 27, 24, 22, 19, 16, 14, 11, 8, 6, 3, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 3, 6, 7, 8, 8, 6, 4, 3, 2, 2, 2, 3, 4, 4, 3, 3, 2, 2, 2, 2, 3, 4, 4, 5, 6, 8, 10, 13, 15, 16, 16, 15, 12, 9, 7, 6, 6, 7, 9, 9, 9, 8, 6, 5, 5, 5, 7, 10, 12, 14, 15, 16, 16, 18, 21, 26, 33, 44, 59, 78, 99, 122, 146, 170, 191, 209, 222, 229, 230, 223, 210, 193, 172, 150, 129, 109, 92, 77, 63, 52, 43, 35, 30, 27, 26, 26, 26, 27, 28, 30, 31, 33, 33, 33, 32, 31, 30, 29, 29, 30, 30, 30, 30, 29, 29, 28, 28, 27, 27, 28, 28, 29, 30, 32, 36, 43, 54, 70, 92, 120, 155, 194, 238, 283, 329, 371, 407, 433, 447, 446, 431, 405, 369, 328, 285, 242, 201, 162, 127, 97, 72, 54, 41, 34, 32, 32, 34, 36, 38, 40, 42, 46, 53, 63, 77, 94, 114, 137, 164, 195, 229, 265, 302, 339, 371, 397, 415, 425, 428, 426, 419, 411, 402, 395, 390, 389, 391, 394, 394, 390, 378, 357, 327, 292, 255, 218, 183, 152, 125, 101, 81, 63, 48, 37, 28, 21, 17, 13, 11, 9, 7, 5, 4, 4, 3, 4, 4, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 4, 7, 10, 13, 16, 18, 18, 19, 20, 21, 23, 24, 26, 27, 27, 26, 26, 26, 27, 27, 28, 28, 28, 27, 25, 22, 20, 17, 14, 11, 9, 7, 5, 4, 3, 3, 2, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 7, 8, 10, 13, 17, 24, 34, 46, 62, 80, 100, 120, 139, 157, 173, 187, 197, 204, 206, 202, 192, 177, 157, 136, 116, 98, 84, 72, 64, 59, 57, 60, 69, 84, 106, 133, 162, 192, 220, 245, 267, 286, 301, 315, 325, 332, 335, 335, 332, 329, 326, 326, 328, 331, 331, 327, 316, 299, 275, 247, 218, 188, 159, 133, 109, 88, 69, 52, 39, 29, 22, 19, 19, 21, 24, 27, 30, 33, 38, 46, 59, 77, 101, 130, 162, 196, 232, 268, 304, 338, 368, 391, 406, 413, 413, 409, 403, 398, 394, 388, 382, 373, 364, 353, 344, 335, 326, 316, 301, 282, 259, 234, 208, 183, 161, 143, 129, 121, 119, 125, 139, 161, 190, 223, 259, 295, 329, 358, 382, 399, 408, 408, 397, 376, 347, 310, 270, 229, 190, 154, 122, 94, 69, 48, 32, 20, 13, 10, 8, 8, 8, 6, 4, 3, 1, 1, 1, 3, 4, 6, 6, 7, 7, 6, 5, 3, 1, 0, 0, 0, 0, 1, 2, 3, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 3, 5, 10, 15, 22, 29, 37, 49, 64, 84, 109, 137, 167, 197, 225, 251, 275, 295, 312, 324, 329, 325, 312, 290, 261, 228, 194, 161, 132, 106, 83, 63, 44, 29, 16, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 4, 5, 7, 9, 11, 14, 17, 20, 24, 28, 34, 40, 48, 59, 74, 93, 118, 147, 181, 219, 259, 299, 337, 371, 399, 421, 434, 438, 434, 421, 400, 372, 338, 299, 258, 217, 179, 145, 116, 93, 75, 61, 50, 41, 34, 27, 22, 19, 17, 16, 16, 17, 19, 21, 23, 25, 26, 27, 27, 27, 28, 29, 31, 33, 34, 35, 34, 33, 32, 31, 31, 32, 33, 35, 36, 36, 35, 34, 33, 33, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 33, 34, 35, 36, 36, 36, 35, 35, 34, 33, 33, 32, 31, 29, 27, 25, 23, 22, 22, 22, 22, 21, 21, 20, 21, 23, 27, 31, 34, 37, 40, 42, 45, 49, 56, 65, 76, 92, 111, 134, 162, 192, 225, 258, 291, 321, 348, 371, 388, 397, 398, 388, 369, 342, 309, 274, 238, 204, 172, 142, 116, 93, 73, 59, 48, 41, 37, 35, 35, 35, 36, 37, 39, 39, 40, 39, 38, 37, 35, 34, 33, 33, 34, 35, 35, 33, 31, 27, 24, 21, 19, 18, 16, 15, 13, 10, 8, 7, 6, 6, 5, 4, 3, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 3, 3, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 3, 5, 7, 8, 9, 9, 11, 13, 16, 20, 25, 29, 33, 37, 42, 48, 58, 71, 88, 109, 131, 155, 180, 206, 235, 265, 296, 326, 351, 370, 379, 378, 369, 351, 328, 301, 272, 240, 208, 176, 145, 116, 91, 71, 54, 42, 32, 24, 17, 11, 7, 4, 4, 4, 6, 8, 10, 11, 13, 14, 15, 17, 17, 18, 17, 17, 16, 16, 16, 16, 16, 16, 15, 13, 11, 8, 6, 4, 3, 3, 4, 5, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 20, 22, 25, 28, 32, 36, 40, 45, 51, 57, 63, 70, 78, 89, 102, 119, 139, 162, 186, 210, 236, 262, 289, 317, 343, 367, 385, 396, 401, 401, 398, 395, 393, 392, 390, 388, 383, 375, 365, 354, 341, 326, 310, 291, 270, 247, 223, 199, 176, 157, 143, 135, 133, 138, 147, 161, 177, 195, 214, 233, 253, 273, 291, 304, 311, 310, 301, 286, 265, 242, 218, 194, 170, 147, 124, 102, 82, 64, 50, 39, 32, 26, 22, 19, 15, 12, 10, 8, 8, 8, 10, 11, 13, 14, 14, 15, 17, 20, 24, 30, 36, 43, 52, 63, 77, 94, 115, 138, 164, 191, 220, 249, 280, 311, 341, 369, 391, 408, 419, 423, 422, 419, 414, 409, 406, 404, 404, 403, 402, 399, 395, 392, 390, 389, 389, 390, 389, 388, 385, 381, 375, 368, 359, 345, 327, 305, 282, 258, 235, 214, 192, 169, 145, 120, 95, 73, 54, 39, 29, 22, 17, 15, 14, 13, 12, 12, 10, 8, 5, 3, 2, 3, 4, 6, 8, 10, 12, 13, 14, 16, 17, 18, 20, 20, 21, 21, 22, 24, 26, 27, 29, 29, 29, 28, 26, 25, 24, 23, 24, 24, 24, 23, 21, 19, 17, 15, 15, 16, 18, 21, 23, 24, 25, 26, 26, 27, 29, 31, 33, 35, 36, 35, 33, 30, 27, 25, 24, 24, 24, 25, 24, 24, 22, 21, 20, 19, 18, 16, 14, 11, 8, 6, 4, 3, 3, 4, 5, 5, 5, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 3, 4, 6, 7, 7, 8, 9, 10, 11, 12, 13, 13, 13, 13, 15, 16, 18, 19, 19, 18, 17, 15, 14, 13, 11, 10, 8, 5, 4, 3, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 5, 8, 12, 16, 18, 19, 19, 19, 20, 24, 29, 37, 47, 57, 68, 80, 94, 112, 134, 159, 186, 213, 239, 263, 285, 307, 326, 343, 354, 358, 353, 340, 322, 301, 278, 257, 236, 214, 193, 171, 149, 131, 118, 111, 110, 114, 122, 132, 144, 158, 171, 185, 196, 206, 212, 213, 211, 205, 197, 187, 177, 166, 155, 144, 133, 122, 111, 102, 95, 91, 89, 91, 97, 106, 120, 136, 155, 173, 190, 204, 214, 219, 220, 217, 212, 204, 194, 184, 172, 159, 145, 129, 113, 98, 84, 72, 62, 54, 48, 43, 38, 34, 31, 29, 28, 27, 27, 26, 24, 22, 21, 20, 20, 21, 22, 22, 22, 22, 21, 21, 21, 22, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 22, 21, 19, 18, 16, 15, 14, 12, 11, 10, 9, 7, 5, 3, 1, 0, 0, 0, 0, 2, 2, 3, 2, 2, 2, 3, 5, 8, 12, 15, 17, 19, 21, 23, 26, 30, 37, 45, 54, 65, 78, 93, 110, 130, 152, 176, 201, 227, 253, 280, 304, 326, 343, 355, 361, 362, 358, 349, 335, 316, 293, 266, 238, 209, 181, 155, 131, 109, 89, 71, 57, 45, 36, 29, 23, 18, 13, 9, 7, 7, 9, 12, 15, 18, 20, 21, 21, 22, 25, 28, 34, 41, 50, 60, 71, 82, 95, 109, 124, 142, 163, 186, 210, 236, 260, 282, 301, 317, 329, 338, 344, 345, 341, 331, 316, 295, 271, 244, 216, 190, 167, 147, 131, 117, 104, 92, 80, 67, 57, 48, 43, 40, 39, 37, 35, 31, 27, 23, 21, 20, 21, 22, 22, 22, 20, 17, 14, 11, 9, 7, 7, 7, 7, 8, 9, 9, 8, 7, 5, 3, 2, 1, 2, 4, 6, 8, 10, 10, 9, 8, 8, 8, 9, 10, 12, 14, 16, 18, 20, 23, 26, 30, 36, 44, 53, 65, 78, 92, 107, 122, 139, 158, 180, 205, 230, 255, 277, 295, 310, 322, 332, 342, 354, 366, 378, 390, 399, 405, 407, 406, 404, 401, 400, 401, 403, 406, 407, 404, 398, 389, 378, 368, 360, 354, 348, 340, 330, 316, 300, 281, 261, 242, 224, 206, 188, 171, 153, 136, 119, 103, 88, 75, 64, 55, 48, 41, 35, 31, 27, 24, 22, 22, 22, 21, 19, 17, 14, 12, 11, 12, 13, 15, 16, 16, 14, 12, 10, 9, 10, 14, 18, 23, 28, 32, 36, 40, 45, 53, 63, 76, 92, 108, 125, 142, 160, 180, 202, 227, 253, 280, 305, 326, 343, 356, 365, 372, 379, 386, 393, 401, 408, 413, 415, 413, 407, 398, 384, 368, 351, 333, 315, 297, 279, 260, 240, 218, 196, 173, 153, 136, 122, 111, 101, 92, 83, 72, 62, 53, 45, 41, 39, 40, 42, 43, 43, 41, 39, 36, 34, 32, 32, 32, 33, 32, 32, 31, 31, 31, 32, 33, 34, 33, 31, 27, 23, 19, 16, 15, 17, 19, 21, 22, 23, 22, 20, 20, 20, 22, 24, 27, 29, 30, 31, 30, 31, 32, 34, 37, 41, 45, 49, 52, 56, 60, 65, 72, 80, 89, 100, 111, 124, 138, 154, 170, 187, 203, 219, 234, 248, 261, 271, 278, 281, 281, 277, 269, 259, 246, 231, 216, 199, 182, 166, 150, 134, 118, 103, 87, 73, 61, 51, 43, 38, 34, 30, 27, 24, 20, 17, 14, 12, 11, 13, 16, 21, 27, 32, 37, 41, 46, 52, 59, 69, 80, 93, 108, 123, 140, 158, 176, 196, 215, 235, 254, 271, 285, 297, 305, 310, 311, 309, 305, 299, 290, 279, 264, 247, 227, 207, 187, 170, 154, 141, 130, 118, 106, 94, 82, 70, 61, 55, 50, 48, 45, 42, 38, 33, 29, 26, 24, 23, 23, 24, 24, 24, 23, 22, 20, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 18, 17, 15, 14, 13, 13, 13, 13, 13, 12, 11, 9, 7, 5, 4, 4, 4, 4, 4, 4, 3, 2, 2, 1, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 4, 6, 6, 7, 6, 5, 4, 3, 1, 0, 0, 1, 2, 5, 8, 11, 14, 16, 17, 19, 20, 21, 23, 24, 25, 27, 30, 35, 43, 53, 65, 77, 89, 101, 112, 124, 138, 156, 176, 198, 222, 245, 266, 285, 302, 319, 335, 351, 366, 381, 393, 402, 408, 411, 411, 409, 407, 404, 401, 397, 390, 382, 370, 355, 338, 319, 299, 280, 260, 242, 224, 206, 189, 171, 154, 137, 121, 105, 92, 80, 70, 62, 55, 48, 41, 34, 28, 23, 20, 18, 17, 16, 15, 15, 14, 13, 12, 11, 10, 8, 7, 5, 4, 4, 4, 4, 5, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 4, 5, 4, 4, 5, 6, 9, 13, 18, 23, 28, 33, 37, 42, 49, 57, 68, 80, 94, 109, 125, 141, 158, 175, 191, 206, 220, 230, 239, 244, 247, 247, 245, 240, 232, 222, 211, 199, 187, 176, 163, 151, 138, 125, 111, 98, 86, 76, 67, 60, 54, 49, 46, 43, 41, 40, 38, 36, 34, 31, 28, 24, 20, 18, 17, 17, 18, 19, 20, 20, 19, 18, 18, 17, 18, 18, 19, 20, 21, 21, 22, 23, 23, 24, 26, 30, 35, 41, 50, 59, 68, 76, 84, 90, 96, 101, 105, 108, 112, 117, 122, 128, 132, 135, 134, 131, 125, 118, 111, 105, 101, 97, 92, 85, 77, 68, 59, 51, 45, 41, 37, 34, 31, 26, 21, 17, 13, 10, 8, 8, 8, 10, 12, 15, 18, 22, 27, 31, 36, 42, 49, 57, 66, 76, 86, 97, 108, 119, 131, 143, 156, 169, 181, 193, 202, 210, 216, 220, 220, 218, 214, 210, 205, 200, 196, 193, 190, 188, 186, 185, 187, 189, 193, 196, 199, 201, 202, 204, 206, 210, 214, 217, 217, 214, 209, 201, 193, 186, 180, 175, 169, 162, 153, 142, 132, 124, 120, 120, 126, 134, 146, 159, 173, 190, 209, 230, 254, 278, 300, 320, 335, 346, 352, 354, 352, 348, 341, 333, 324, 316, 310, 306, 305, 307, 310, 313, 315, 314, 309, 298, 281, 259, 234, 206, 178, 152, 128, 107, 89, 75, 66, 64, 68, 80, 97, 117, 134, 146, 149, 142, 128, 108, 88, 70, 57, 48, 42, 39, 37, 36, 35, 36, 37, 38, 39, 40, 40, 40, 40, 39, 39, 37, 35, 33, 31, 29, 29, 29, 29, 29, 29, 30, 30, 31, 32, 32, 32, 32, 31, 30, 29, 28, 28, 27, 27, 26, 24, 23, 22, 21, 20, 20, 19, 19, 19, 19, 20, 21, 22, 23, 22, 21, 20, 19, 18, 18, 19, 19, 19, 17, 15, 13, 11, 11, 12, 15, 17, 19, 19, 18, 16, 14, 13, 13, 13, 13, 14, 14, 14, 15, 15, 16, 15, 15, 14, 13, 12, 13, 13, 14, 15, 15, 15, 14, 13, 13, 13, 13, 13, 14, 15, 17, 19, 20, 21, 20, 19, 17, 15, 14, 14, 14, 14, 15, 15, 15, 15, 15, 16, 16, 16, 17, 18, 19, 20, 21, 22, 23, 23, 23, 23, 24, 26, 28, 31, 33, 34, 35, 35, 34, 34, 36, 38, 42, 45, 49, 52, 54, 55, 56, 56, 58, 59, 61, 62, 64, 65, 66, 68, 71, 74, 79, 84, 88, 93, 96, 99, 102, 105, 107, 110, 113, 117, 121, 127, 133, 140, 149, 158, 168, 178, 187, 198, 211, 226, 245, 266, 287, 307, 324, 335, 340, 339, 335, 327, 318, 307, 293, 278, 260, 241, 222, 206, 193, 183, 177, 174, 171, 170, 169, 169, 169, 170, 171, 171, 170, 168, 166, 163, 162, 162, 164, 168, 172, 176, 178, 179, 179, 177, 176, 177, 178, 180, 183, 185, 186, 186, 185, 184, 184, 185, 188, 191, 195, 199, 201, 202, 203, 204, 204, 204, 205, 204, 203, 203, 202, 203, 204, 205, 206, 205, 203, 201, 199, 199, 200, 202, 204, 205, 204, 202, 201, 200, 201, 203, 206, 209, 211, 213, 214, 214, 214, 212, 210, 207, 203, 201, 200, 201, 203, 205, 206, 206, 204, 202, 201, 201, 202, 204, 205, 204, 201, 196, 189, 182, 176, 172, 169, 166, 163, 159, 154, 147, 139, 130, 122, 114, 107, 101, 95, 90, 83, 77, 71, 65, 60, 56, 50, 44, 37, 29, 22, 17, 15, 14, 14, 14, 13, 10, 6, 3, 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, 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],
"basecallPos": [673, 683, 694, 707, 722, 732, 745, 758, 772, 784, 797, 810, 823, 835, 846, 858, 870, 883, 896, 908, 922, 932, 944, 957, 969, 982, 990, 1002, 1013, 1024, 1036, 1047, 1059, 1071, 1083, 1094, 1105, 1118, 1130, 1140, 1152, 1165, 1178, 1191, 1202, 1214, 1227, 1239, 1250, 1261, 1273, 1285, 1299, 1310, 1323, 1335, 1346, 1358, 1368, 1379, 1391, 1402, 1413, 1426, 1437, 1450, 1463, 1476, 1488, 1500, 1513, 1525, 1537, 1549, 1562, 1573, 1583, 1595, 1607, 1620, 1632, 1643, 1656, 1668, 1681, 1693, 1704, 1717, 1730, 1743, 1754, 1766, 1777, 1788, 1800, 1812, 1825, 1837, 1847, 1859, 1872, 1884, 1896, 1906, 1917, 1929, 1941, 1956, 1967, 1979, 1989, 2001, 2011, 2023, 2036, 2049, 2062, 2073, 2084, 2097, 2109, 2122, 2133, 2144, 2156, 2168, 2180, 2193, 2205, 2217, 2230, 2244, 2254, 2267, 2277, 2288, 2300, 2313, 2324, 2338, 2350, 2362, 2373, 2384, 2396, 2407, 2419, 2431, 2443, 2456, 2469, 2481, 2493, 2505, 2518, 2530, 2542, 2553, 2565, 2577, 2589, 2601, 2613, 2626, 2639, 2649, 2660, 2670, 2683, 2695, 2708, 2719, 2733, 2744, 2755, 2766, 2778, 2790, 2802, 2815, 2827, 2839, 2850, 2861, 2873, 2886, 2898, 2909, 2920, 2933, 2945, 2955, 2968, 2981, 2992, 3005, 3016, 3028, 3041, 3053, 3064, 3076, 3088, 3101, 3114, 3125, 3137, 3147, 3160, 3173, 3184, 3196, 3208, 3220, 3230, 3242, 3254, 3267, 3280, 3292, 3304, 3317, 3328, 3340, 3352, 3363, 3374, 3386, 3399, 3411, 3423, 3436, 3448, 3459, 3470, 3481, 3493, 3506, 3518, 3530, 3542, 3554, 3566, 3578, 3590, 3602, 3615, 3627, 3639, 3651, 3664, 3675, 3688, 3699, 3710, 3723, 3734, 3745, 3758, 3770, 3783, 3795, 3808, 3819, 3832, 3844, 3857, 3867, 3878, 3890, 3902, 3914, 3928, 3938, 3951, 3963, 3975, 3986, 3998, 4011, 4024, 4036, 4047, 4059, 4071, 4083, 4095, 4108, 4120, 4132, 4144, 4156, 4168, 4180, 4191, 4204, 4216, 4228, 4241, 4252, 4264, 4276, 4288, 4300, 4312, 4325, 4336, 4349, 4362, 4373, 4385, 4397, 4409, 4422, 4434, 4445, 4456, 4468, 4479, 4490, 4502, 4514, 4526, 4539, 4550, 4562, 4573, 4585, 4597, 4609, 4622, 4633, 4644, 4656, 4668, 4681, 4693, 4706, 4718, 4729, 4740, 4752, 4765, 4777, 4790, 4802, 4815, 4826, 4838, 4850, 4861, 4873, 4885, 4897, 4909, 4921, 4934, 4947, 4959, 4970, 4982, 4994, 5006, 5018, 5030, 5041, 5052, 5063, 5075, 5087, 5099, 5112, 5124, 5137, 5149, 5161, 5174, 5184, 5197, 5208, 5221, 5233, 5244, 5255, 5267, 5280, 5292, 5306, 5317, 5329, 5341, 5353, 5364, 5375, 5388, 5401, 5414, 5426, 5438, 5450, 5462, 5475, 5487, 5498, 5509, 5520, 5533, 5546, 5558, 5569, 5581, 5593, 5605, 5617, 5628, 5640, 5651, 5663, 5676, 5688, 5702, 5713, 5726, 5738, 5749, 5761, 5773, 5784, 5796, 5808, 5820, 5833, 5846, 5859, 5870, 5881, 5893, 5905, 5918, 5929, 5941, 5954, 5966, 5979, 5991, 6002, 6015, 6026, 6038, 6050, 6063, 6075, 6087, 6098, 6109, 6122, 6133, 6146, 6158, 6170, 6181, 6193, 6205, 6218, 6230, 6241, 6253, 6265, 6276, 6288, 6300, 6313, 6324, 6336, 6349, 6362, 6374, 6387, 6400, 6412, 6424, 6436, 6447, 6459, 6472, 6483, 6495, 6508, 6520, 6532, 6545, 6557, 6570, 6582, 6593, 6605, 6617, 6628, 6641, 6654, 6666, 6678, 6689, 6702, 6714, 6725, 6737, 6749, 6761, 6772, 6784, 6797, 6809, 6822, 6835, 6847, 6859, 6871, 6884, 6895, 6908, 6920, 6932, 6944, 6957, 6968, 6981, 6992, 7004, 7016, 7028, 7040, 7053, 7066, 7078, 7090, 7103, 7115, 7127, 7138, 7151, 7162, 7174, 7186, 7197, 7208, 7220, 7232, 7245, 7257, 7269, 7281, 7295, 7307, 7320, 7332, 7344, 7356, 7368, 7380, 7392, 7404, 7416, 7428, 7440, 7452, 7464, 7476, 7488, 7500, 7511, 7523, 7534, 7547, 7558, 7572, 7583, 7596, 7608, 7620, 7633, 7645, 7657, 7668, 7681, 7693, 7706, 7718, 7731, 7744, 7755, 7766, 7778, 7791, 7802, 7815, 7827, 7839, 7850, 7864, 7875, 7889, 7900, 7912, 7923, 7936, 7948, 7960, 7972, 7983, 7995, 8008, 8020, 8032, 8045, 8056, 8067, 8080, 8092, 8103, 8116, 8129, 8142, 8153, 8165, 8177, 8190, 8202, 8213, 8225, 8237, 8249, 8262, 8273, 8285, 8296, 8308, 8320, 8332, 8345, 8356, 8369, 8382, 8395, 8408, 8420, 8432, 8444, 8456, 8467, 8479, 8492, 8505, 8517, 8529, 8541, 8553, 8565, 8576, 8588, 8601, 8613, 8626, 8638, 8650, 8662, 8675, 8686, 8699, 8712, 8723, 8735, 8747, 8760, 8772, 8785, 8797, 8809, 8821, 8832, 8845, 8858, 8870, 8882, 8894, 8907, 8920, 8932, 8944, 8956, 8968, 8980, 8991, 9004, 9016, 9030, 9041, 9053, 9066, 9078, 9089, 9101, 9114, 9126, 9139, 9152, 9164, 9175, 9187, 9199, 9210, 9223, 9236, 9249, 9261, 9274, 9287, 9299, 9312, 9323, 9337, 9348, 9361, 9374, 9386, 9398, 9411, 9423, 9434, 9446, 9457, 9471, 9484, 9495, 9507, 9519, 9531, 9544, 9555, 9568, 9580, 9593, 9605, 9617, 9629, 9641, 9654, 9668, 9679, 9693, 9706, 9718, 9729, 9741, 9752, 9766, 9779, 9790, 9801, 9813, 9826, 9839, 9851, 9863, 9875, 9888, 9901, 9912, 9925, 9938, 9950, 9962, 9973, 9985, 9997, 10010, 10025, 10035, 10049, 10060, 10073, 10085, 10097, 10110, 10122, 10134, 10147, 10158, 10171, 10184, 10196, 10208, 10221, 10234, 10246, 10260, 10272, 10284, 10298, 10309, 10323, 10336, 10347, 10362, 10372, 10384, 10396, 10408, 10423, 10436, 10446, 10461, 10473, 10484, 10497, 10508, 10521, 10535, 10547, 10560, 10572, 10584, 10598, 10612, 10622, 10631, 10646, 10658, 10671, 10683, 10698, 10707, 10721],
"basecalls": {"673":"1:C", "683":"2:A", "694":"3:T", "707":"4:G", "722":"5:A", "732":"6:T", "745":"7:T", "758":"8:G", "772":"9:A", "784":"10:G", "797":"11:G", "810":"12:G", "823":"13:G", "835":"14:G", "846":"15:C", "858":"16:C", "870":"17:G", "883":"18:T", "896":"19:T", "908":"20:G", "922":"21:A", "932":"22:A", "944":"23:G", "957":"24:G", "969":"25:G", "982":"26:A", "990":"27:T", "1002":"28:T", "1013":"29:A", "1024":"30:C", "1036":"31:T", "1047":"32:A", "1059":"33:A", "1071":"34:A", "1083":"35:A", "1094":"36:A", "1105":"37:T", "1118":"38:G", "1130":"39:C", "1140":"40:A", "1152":"41:T", "1165":"42:T", "1178":"43:G", "1191":"44:A", "1202":"45:T", "1214":"46:T", "1227":"47:C", "1239":"48:C", "1250":"49:C", "1261":"50:C", "1273":"51:C", "1285":"52:G", "1299":"53:A", "1310":"54:C", "1323":"55:T", "1335":"56:C", "1346":"57:C", "1358":"58:C", "1368":"59:A", "1379":"60:C", "1391":"61:C", "1402":"62:A", "1413":"63:A", "1426":"64:T", "1437":"65:A", "1450":"66:G", "1463":"67:C", "1476":"68:C", "1488":"69:T", "1500":"70:G", "1513":"71:C", "1525":"72:C", "1537":"73:C", "1549":"74:G", "1562":"75:A", "1573":"76:C", "1583":"77:A", "1595":"78:C", "1607":"79:G", "1620":"80:A", "1632":"81:A", "1643":"82:G", "1656":"83:C", "1668":"84:C", "1681":"85:G", "1693":"86:A", "1704":"87:G", "1717":"88:C", "1730":"89:G", "1743":"90:G", "1754":"91:T", "1766":"92:C", "1777":"93:C", "1788":"94:A", "1800":"95:G", "1812":"96:C", "1825":"97:C", "1837":"98:C", "1847":"99:A", "1859":"100:T", "1872":"101:T", "1884":"102:C", "1896":"103:C", "1906":"104:A", "1917":"105:A", "1929":"106:G", "1941":"107:G", "1956":"108:A", "1967":"109:G", "1979":"110:A", "1989":"111:T", "2001":"112:A", "2011":"113:C", "2023":"114:C", "2036":"115:T", "2049":"116:G", "2062":"117:C", "2073":"118:A", "2084":"119:T", "2097":"120:T", "2109":"121:G", "2122":"122:A", "2133":"123:C", "2144":"124:A", "2156":"125:G", "2168":"126:C", "2180":"127:C", "2193":"128:G", "2205":"129:T", "2217":"130:G", "2230":"131:G", "2244":"132:A", "2254":"133:G", "2267":"134:A", "2277":"135:C", "2288":"136:A", "2300":"137:G", "2313":"138:G", "2324":"139:G", "2338":"140:G", "2350":"141:C", "2362":"142:T", "2373":"143:A", "2384":"144:C", "2396":"145:C", "2407":"146:A", "2419":"147:A", "2431":"148:T", "2443":"149:C", "2456":"150:C", "2469":"151:G", "2481":"152:T", "2493":"153:T", "2505":"154:G", "2518":"155:G", "2530":"156:T", "2542":"157:G", "2553":"158:C", "2565":"159:C", "2577":"160:T", "2589":"161:T", "2601":"162:C", "2613":"163:G", "2626":"164:G", "2639":"165:A", "2649":"166:C", "2660":"167:A", "2670":"168:C", "2683":"169:C", "2695":"170:G", "2708":"171:T", "2719":"172:G", "2733":"173:C", "2744":"174:A", "2755":"175:A", "2766":"176:A", "2778":"177:C", "2790":"178:G", "2802":"179:C", "2815":"180:G", "2827":"181:C", "2839":"182:C", "2850":"183:A", "2861":"184:T", "2873":"185:G", "2886":"186:T", "2898":"187:C", "2909":"188:A", "2920":"189:T", "2933":"190:C", "2945":"191:C", "2955":"192:A", "2968":"193:G", "2981":"194:A", "2992":"195:G", "3005":"196:A", "3016":"197:C", "3028":"198:G", "3041":"199:G", "3053":"200:A", "3064":"201:C", "3076":"202:G", "3088":"203:C", "3101":"204:G", "3114":"205:A", "3125":"206:T", "3137":"207:C", "3147":"208:A", "3160":"209:G", "3173":"210:A", "3184":"211:G", "3196":"212:T", "3208":"213:C", "3220":"214:C", "3230":"215:A", "3242":"216:C", "3254":"217:G", "3267":"218:G", "3280":"219:T", "3292":"220:T", "3304":"221:G", "3317":"222:A", "3328":"223:G", "3340":"224:T", "3352":"225:C", "3363":"226:A", "3374":"227:T", "3386":"228:T", "3399":"229:C", "3411":"230:T", "3423":"231:T", "3436":"232:T", "3448":"233:G", "3459":"234:C", "3470":"235:A", "3481":"236:A", "3493":"237:G", "3506":"238:A", "3518":"239:G", "3530":"240:G", "3542":"241:G", "3554":"242:G", "3566":"243:C", "3578":"244:T", "3590":"245:T", "3602":"246:G", "3615":"247:T", "3627":"248:G", "3639":"249:T", "3651":"250:G", "3664":"251:G", "3675":"252:C", "3688":"253:T", "3699":"254:A", "3710":"255:T", "3723":"256:C", "3734":"257:A", "3745":"258:T", "3758":"259:T", "3770":"260:G", "3783":"261:A", "3795":"262:G", "3808":"263:G", "3819":"264:T", "3832":"265:G", "3844":"266:G", "3857":"267:A", "3867":"268:C", "3878":"269:A", "3890":"270:A", "3902":"271:T", "3914":"272:G", "3928":"273:A", "3938":"274:T", "3951":"275:G", "3963":"276:C", "3975":"277:A", "3986":"278:C", "3998":"279:C", "4011":"280:G", "4024":"281:A", "4036":"282:C", "4047":"283:A", "4059":"284:A", "4071":"285:A", "4083":"286:G", "4095":"287:C", "4108":"288:G", "4120":"289:C", "4132":"290:G", "4144":"291:C", "4156":"-", "4168":"292:C", "4180":"293:A", "4191":"294:G", "4204":"295:C", "4216":"296:A", "4228":"297:G", "4241":"298:A", "4252":"299:T", "4264":"300:T", "4276":"301:G", "4288":"302:T", "4300":"303:T", "4312":"304:T", "4325":"305:T", "4336":"306:C", "4349":"307:G", "4362":"308:G", "4373":"309:T", "4385":"310:T", "4397":"311:T", "4409":"312:G", "4422":"313:G", "4434":"314:A", "4445":"315:A", "4456":"316:A", "4468":"317:A", "4479":"318:T", "4490":"319:A", "4502":"320:A", "4514":"321:C", "4526":"322:T", "4539":"323:T", "4550":"324:A", "4562":"325:C", "4573":"326:A", "4585":"327:A", "4597":"328:A", "4609":"329:G", "4622":"330:A", "4633":"331:T", "4644":"332:A", "4656":"333:C", "4668":"334:T", "4681":"335:G", "4693":"336:T", "4706":"337:T", "4718":"338:C", "4729":"339:A", "4740":"340:A", "4752":"341:C", "4765":"342:T", "4777":"343:G", "4790":"344:A", "4802":"345:G", "4815":"346:A", "4826":"347:C", "4838":"348:G", "4850":"349:C", "4861":"350:A", "4873":"351:A", "4885":"352:A", "4897":"353:C", "4909":"354:T", "4921":"355:G", "4934":"356:G", "4947":"357:A", "4959":"358:A", "4970":"359:T", "4982":"360:T", "4994":"361:T", "5006":"362:T", "5018":"363:T", "5030":"364:C", "5041":"365:A", "5052":"366:C", "5063":"367:A", "5075":"368:T", "5087":"369:A", "5099":"370:T", "5112":"371:T", "5124":"372:C", "5137":"373:G", "5149":"374:A", "5161":"375:G", "5174":"376:A", "5184":"377:T", "5197":"378:T", "5208":"379:T", "5221":"380:G", "5233":"381:A", "5244":"382:C", "5255":"383:A", "5267":"384:T", "5280":"385:G", "5292":"386:G", "5306":"387:A", "5317":"388:G", "5329":"389:T", "5341":"390:T", "5353":"391:C", "5364":"392:A", "5375":"393:C", "5388":"394:T", "5401":"395:T", "5414":"396:T", "5426":"397:T", "5438":"398:G", "5450":"399:T", "5462":"400:G", "5475":"401:G", "5487":"402:T", "5498":"403:C", "5509":"404:A", "5520":"405:C", "5533":"406:C", "5546":"407:T", "5558":"408:C", "5569":"409:A", "5581":"410:A", "5593":"411:A", "5605":"412:C", "5617":"413:T", "5628":"414:A", "5640":"415:C", "5651":"416:A", "5663":"417:C", "5676":"418:T", "5688":"419:G", "5702":"420:A", "5713":"421:T", "5726":"422:G", "5738":"423:C", "5749":"424:A", "5761":"425:A", "5773":"426:A", "5784":"427:T", "5796":"428:A", "5808":"429:A", "5820":"430:C", "5833":"431:G", "5846":"432:G", "5859":"433:A", "5870":"434:C", "5881":"435:A", "5893":"436:T", "5905":"437:G", "5918":"438:C", "5929":"439:A", "5941":"440:T", "5954":"441:T", "5966":"442:G", "5979":"443:A", "5991":"444:A", "6002":"445:C", "6015":"446:C", "6026":"447:A", "6038":"448:A", "6050":"449:G", "6063":"450:T", "6075":"451:T", "6087":"452:T", "6098":"453:A", "6109":"454:T", "6122":"455:C", "6133":"456:A", "6146":"457:G", "6158":"458:A", "6170":"459:T", "6181":"460:A", "6193":"461:A", "6205":"462:T", "6218":"463:G", "6230":"464:T", "6241":"465:A", "6253":"466:T", "6265":"467:A", "6276":"468:T", "6288":"469:A", "6300":"470:C", "6313":"471:C", "6324":"472:A", "6336":"473:C", "6349":"474:C", "6362":"475:C", "6374":"476:G", "6387":"477:G", "6400":"478:A", "6412":"479:G", "6424":"480:C", "6436":"481:A", "6447":"482:C", "6459":"483:C", "6472":"484:T", "6483":"485:A", "6495":"486:T", "6508":"487:C", "6520":"488:C", "6532":"489:C", "6545":"490:T", "6557":"491:G", "6570":"492:G", "6582":"493:T", "6593":"494:A", "6605":"495:A", "6617":"496:A", "6628":"497:T", "6641":"498:G", "6654":"499:G", "6666":"500:A", "6678":"501:A", "6689":"502:T", "6702":"503:G", "6714":"504:A", "6725":"505:T", "6737":"506:T", "6749":"507:A", "6761":"508:C", "6772":"509:A", "6784":"510:C", "6797":"511:G", "6809":"512:T", "6822":"513:G", "6835":"514:G", "6847":"515:C", "6859":"516:A", "6871":"517:G", "6884":"518:A", "6895":"519:C", "6908":"520:G", "6920":"521:T", "6932":"522:C", "6944":"523:C", "6957":"524:T", "6968":"525:C", "6981":"526:T", "6992":"527:A", "7004":"528:A", "7016":"529:C", "7028":"530:C", "7040":"531:C", "7053":"532:G", "7066":"533:T", "7078":"534:C", "7090":"535:G", "7103":"536:G", "7115":"537:T", "7127":"538:G", "7138":"539:T", "7151":"540:T", "7162":"541:T", "7174":"542:T", "7186":"543:A", "7197":"544:C", "7208":"545:A", "7220":"546:C", "7232":"547:C", "7245":"548:T", "7257":"549:A", "7269":"550:T", "7281":"551:G", "7295":"552:G", "7307":"553:G", "7320":"554:G", "7332":"555:C", "7344":"556:G", "7356":"557:C", "7368":"558:C", "7380":"559:C", "7392":"560:C", "7404":"561:C", "7416":"562:A", "7428":"563:G", "7440":"564:C", "7452":"565:A", "7464":"566:A", "7476":"567:G", "7488":"568:A", "7500":"569:A", "7511":"570:T", "7523":"571:A", "7534":"572:T", "7547":"573:C", "7558":"574:A", "7572":"575:G", "7583":"576:T", "7596":"577:G", "7608":"578:C", "7620":"579:C", "7633":"580:C", "7645":"581:T", "7657":"582:A", "7668":"583:C", "7681":"584:G", "7693":"585:T", "7706":"586:G", "7718":"587:G", "7731":"588:G", "7744":"589:A", "7755":"590:A", "7766":"591:T", "7778":"592:T", "7791":"593:G", "7802":"594:C", "7815":"595:T", "7827":"596:A", "7839":"597:A", "7850":"598:T", "7864":"599:G", "7875":"600:C", "7889":"601:G", "7900":"602:T", "7912":"603:A", "7923":"604:T", "7936":"605:T", "7948":"606:C", "7960":"607:C", "7972":"608:C", "7983":"609:A", "7995":"610:C", "8008":"611:T", "8020":"612:T", "8032":"613:T", "8045":"614:T", "8056":"615:A", "8067":"616:T", "8080":"617:G", "8092":"618:A", "8103":"619:T", "8116":"620:G", "8129":"621:G", "8142":"622:G", "8153":"623:T", "8165":"624:T", "8177":"625:T", "8190":"626:G", "8202":"627:C", "8213":"628:A", "8225":"629:A", "8237":"630:A", "8249":"631:A", "8262":"632:G", "8273":"633:T", "8285":"634:A", "8296":"635:C", "8308":"636:C", "8320":"637:A", "8332":"638:C", "8345":"639:T", "8356":"640:A", "8369":"641:G", "8382":"642:C", "8395":"643:G", "8408":"644:G", "8420":"645:G", "8432":"646:T", "8444":"647:C", "8456":"648:A", "8467":"649:A", "8479":"650:G", "8492":"651:C", "8505":"652:C", "8517":"-", "8529":"-", "8541":"653:T", "8553":"654:C", "8565":"655:A", "8576":"656:A", "8588":"657:C", "8601":"658:T", "8613":"659:G", "8626":"660:A", "8638":"661:A", "8650":"-", "8662":"662:G", "8675":"663:G", "8686":"664:C", "8699":"665:G", "8712":"666:A", "8723":"667:T", "8735":"668:T", "8747":"669:C", "8760":"670:G", "8772":"671:T", "8785":"672:T", "8797":"673:G", "8809":"674:T", "8821":"675:A", "8832":"676:C", "8845":"677:G", "8858":"678:G", "8870":"679:T", "8882":"680:G", "8894":"681:C", "8907":"682:T", "8920":"683:G", "8932":"684:C", "8944":"685:C", "8956":"686:T", "8968":"687:C", "8980":"688:A", "8991":"689:C", "9004":"690:T", "9016":"691:G", "9030":"692:A", "9041":"693:A", "9053":"694:T", "9066":"695:G", "9078":"696:A", "9089":"697:T", "9101":"698:T", "9114":"699:T", "9126":"700:T", "9139":"701:G", "9152":"702:G", "9164":"703:A", "9175":"704:T", "9187":"705:C", "9199":"706:A", "9210":"707:C", "9223":"708:T", "9236":"709:G", "9249":"710:G", "9261":"711:C", "9274":"712:T", "9287":"713:G", "9299":"714:T", "9312":"715:C", "9323":"716:C", "9337":"717:G", "9348":"718:C", "9361":"719:G", "9374":"720:T", "9386":"721:G", "9398":"722:G", "9411":"723:T", "9423":"724:A", "9434":"725:A", "9446":"726:A", "9457":"727:T", "9471":"728:G", "9484":"729:A", "9495":"730:C", "9507":"731:C", "9519":"732:A", "9531":"733:C", "9544":"734:A", "9555":"735:A", "9568":"736:C", "9580":"737:C", "9593":"738:C", "9605":"739:C", "9617":"740:A", "9629":"741:C", "9641":"742:G", "9654":"743:C", "9668":"744:G", "9679":"745:G", "9693":"746:C", "9706":"747:T", "9718":"748:C", "9729":"749:A", "9741":"750:C", "9752":"751:C", "9766":"752:T", "9779":"753:C", "9790":"754:C", "9801":"755:A", "9813":"756:A", "9826":"757:G", "9839":"758:A", "9851":"759:T", "9863":"760:C", "9875":"761:A", "9888":"762:G", "9901":"763:A", "9912":"764:G", "9925":"765:T", "9938":"766:G", "9950":"767:T", "9962":"768:A", "9973":"769:C", "9985":"770:A", "9997":"771:T", "10010":"772:G", "10025":"773:A", "10035":"774:A", "10049":"775:G", "10060":"776:C", "10073":"777:C", "10085":"778:A", "10097":"779:A", "10110":"780:A", "10122":"781:G", "10134":"782:C", "10147":"783:A", "10158":"784:T", "10171":"785:G", "10184":"786:T", "10196":"787:C", "10208":"788:A", "10221":"789:G", "10234":"790:A", "10246":"791:G", "10260":"792:T", "10272":"793:C", "10284":"794:T", "10298":"795:G", "10309":"796:G", "10323":"797:T", "10336":"798:G", "10347":"799:C", "10362":"800:C", "10372":"801:C", "10384":"802:A", "10396":"803:C", "10408":"804:G", "10423":"805:A", "10436":"806:C", "10446":"807:C", "10461":"808:T", "10473":"809:C", "10484":"810:C", "10497":"811:A", "10508":"812:C", "10521":"813:G", "10535":"814:A", "10547":"815:G", "10560":"816:C", "10572":"817:A", "10584":"818:G", "10598":"819:T", "10612":"820:C", "10622":"821:C", "10631":"822:C", "10646":"823:A", "10658":"824:T", "10671":"825:A", "10683":"826:C", "10698":"827:T", "10707":"828:T", "10721":"829:C"}
}
, {
"traceFileName": "dataset_152164",
"leadingGaps": 2922,
"trailingGaps": 3953,
"peakA": [242, 245, 252, 263, 282, 306, 331, 351, 366, 380, 398, 420, 444, 469, 493, 518, 545, 576, 611, 653, 701, 751, 801, 851, 898, 946, 996, 1053, 1119, 1194, 1274, 1357, 1437, 1512, 1584, 1655, 1729, 1808, 1893, 1979, 2063, 2141, 2209, 2270, 2325, 2377, 2425, 2469, 2506, 2533, 2549, 2554, 2549, 2536, 2514, 2485, 2448, 2400, 2340, 2269, 2187, 2097, 2003, 1906, 1810, 1715, 1621, 1524, 1423, 1318, 1210, 1102, 999, 903, 816, 739, 669, 605, 544, 487, 433, 383, 339, 301, 269, 242, 218, 198, 179, 162, 147, 133, 122, 114, 107, 101, 95, 89, 83, 76, 68, 61, 54, 48, 43, 38, 35, 33, 31, 31, 32, 34, 38, 43, 51, 60, 73, 89, 107, 127, 151, 176, 202, 229, 254, 275, 291, 303, 310, 313, 313, 311, 305, 296, 283, 265, 244, 221, 199, 178, 158, 140, 123, 108, 93, 79, 68, 58, 50, 45, 40, 37, 34, 32, 30, 26, 22, 18, 15, 14, 15, 18, 22, 28, 34, 40, 47, 57, 70, 89, 113, 141, 171, 204, 237, 271, 306, 342, 379, 413, 444, 469, 486, 498, 505, 511, 518, 527, 539, 552, 565, 576, 584, 591, 595, 597, 595, 588, 573, 550, 518, 477, 430, 378, 324, 270, 220, 175, 137, 104, 79, 58, 43, 32, 27, 27, 34, 47, 66, 90, 120, 155, 195, 239, 286, 335, 382, 424, 456, 476, 480, 469, 443, 405, 361, 314, 270, 231, 201, 182, 174, 177, 191, 216, 247, 283, 320, 351, 375, 388, 388, 376, 353, 319, 279, 235, 191, 148, 110, 77, 52, 32, 19, 10, 6, 5, 7, 9, 13, 16, 20, 22, 25, 27, 29, 31, 32, 31, 29, 26, 22, 18, 15, 12, 10, 8, 6, 5, 5, 7, 10, 16, 23, 33, 47, 67, 96, 135, 185, 247, 318, 394, 470, 539, 595, 632, 645, 633, 595, 537, 464, 384, 305, 232, 169, 119, 81, 54, 36, 25, 19, 17, 18, 19, 20, 20, 19, 17, 15, 13, 12, 12, 12, 14, 15, 18, 22, 28, 38, 52, 73, 104, 146, 198, 260, 328, 395, 458, 512, 553, 580, 594, 596, 590, 577, 561, 544, 527, 512, 501, 495, 496, 507, 531, 569, 618, 673, 726, 765, 782, 769, 724, 650, 554, 448, 340, 242, 159, 97, 56, 36, 35, 52, 84, 131, 189, 255, 324, 388, 442, 478, 494, 491, 477, 459, 448, 451, 472, 509, 556, 602, 637, 650, 635, 591, 522, 436, 344, 254, 175, 112, 66, 35, 16, 6, 2, 2, 5, 10, 16, 23, 29, 34, 37, 39, 40, 41, 41, 40, 40, 39, 39, 40, 43, 46, 50, 53, 55, 53, 48, 40, 31, 21, 12, 6, 7, 18, 45, 92, 164, 261, 380, 513, 646, 764, 849, 890, 879, 818, 716, 587, 447, 314, 198, 111, 58, 41, 63, 120, 207, 317, 436, 551, 645, 706, 725, 698, 631, 532, 416, 299, 193, 108, 49, 14, 1, 2, 10, 22, 31, 36, 36, 31, 23, 15, 7, 2, 0, 0, 0, 0, 0, 1, 2, 4, 7, 10, 12, 12, 10, 6, 2, 0, 3, 15, 39, 78, 132, 199, 274, 349, 415, 463, 484, 475, 435, 369, 288, 203, 125, 65, 25, 4, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 3, 8, 15, 22, 27, 28, 26, 21, 14, 7, 2, 0, 0, 0, 0, 0, 0, 0, 5, 17, 42, 83, 144, 224, 316, 412, 497, 562, 596, 600, 579, 548, 523, 517, 536, 578, 630, 675, 695, 678, 620, 526, 410, 289, 180, 96, 40, 11, 0, 0, 0, 1, 1, 2, 6, 11, 16, 19, 19, 19, 23, 41, 80, 144, 233, 341, 453, 551, 618, 641, 614, 546, 456, 367, 306, 288, 320, 391, 481, 565, 617, 623, 579, 492, 379, 262, 158, 79, 30, 6, 0, 0, 1, 2, 2, 2, 3, 6, 8, 9, 8, 7, 7, 8, 12, 16, 21, 24, 25, 24, 22, 19, 16, 13, 10, 6, 3, 1, 0, 0, 1, 2, 3, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 4, 26, 73, 151, 257, 382, 510, 619, 689, 707, 667, 576, 452, 317, 193, 97, 35, 5, 0, 0, 3, 5, 4, 1, 0, 0, 0, 0, 4, 9, 13, 17, 21, 30, 52, 94, 162, 258, 374, 493, 595, 659, 670, 625, 532, 410, 281, 168, 83, 30, 4, 0, 0, 0, 4, 7, 8, 5, 0, 0, 3, 47, 143, 303, 519, 770, 1015, 1212, 1320, 1317, 1203, 1000, 748, 493, 274, 118, 30, 0, 0, 4, 7, 2, 0, 12, 55, 135, 248, 380, 508, 608, 660, 655, 597, 505, 409, 338, 318, 358, 450, 570, 684, 757, 767, 706, 586, 434, 280, 150, 61, 12, 0, 0, 5, 9, 10, 8, 6, 7, 9, 13, 18, 22, 27, 33, 37, 39, 38, 34, 27, 19, 12, 6, 1, 0, 0, 0, 1, 4, 5, 3, 0, 0, 8, 45, 115, 216, 339, 460, 557, 608, 602, 540, 437, 314, 194, 96, 31, 0, 0, 2, 10, 9, 1, 0, 0, 38, 119, 243, 396, 551, 678, 748, 746, 674, 547, 395, 246, 125, 44, 3, 0, 0, 9, 13, 8, 0, 0, 7, 53, 136, 251, 381, 501, 585, 613, 578, 490, 368, 240, 130, 52, 10, 0, 0, 3, 6, 5, 2, 0, 0, 0, 0, 1, 2, 4, 8, 11, 12, 7, 0, 0, 8, 52, 137, 265, 419, 575, 699, 763, 751, 664, 524, 361, 210, 95, 25, 0, 0, 2, 9, 9, 4, 0, 0, 0, 2, 9, 15, 20, 23, 23, 21, 17, 12, 7, 5, 4, 6, 9, 12, 14, 14, 12, 8, 5, 2, 2, 5, 10, 17, 24, 29, 33, 33, 29, 23, 16, 9, 3, 0, 1, 5, 11, 17, 23, 27, 29, 28, 27, 24, 22, 20, 20, 21, 25, 29, 30, 24, 11, 0, 0, 25, 106, 248, 442, 664, 872, 1022, 1079, 1030, 887, 682, 459, 261, 115, 30, 0, 0, 6, 17, 22, 23, 22, 22, 26, 33, 43, 56, 68, 76, 75, 65, 47, 32, 34, 70, 153, 286, 455, 633, 785, 876, 884, 806, 659, 476, 295, 149, 52, 5, 0, 0, 7, 9, 6, 0, 0, 0, 0, 6, 14, 23, 30, 35, 36, 34, 28, 21, 13, 6, 1, 0, 0, 0, 4, 9, 12, 9, 1, 0, 3, 42, 123, 249, 409, 575, 715, 794, 794, 714, 573, 403, 241, 114, 34, 0, 0, 1, 8, 8, 3, 0, 0, 0, 7, 16, 24, 28, 29, 28, 25, 22, 19, 17, 15, 13, 11, 9, 7, 5, 3, 1, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 3, 1, 0, 0, 0, 0, 1, 4, 7, 11, 15, 18, 21, 23, 25, 27, 30, 33, 35, 38, 41, 43, 47, 51, 56, 60, 62, 61, 57, 51, 43, 36, 33, 33, 38, 47, 57, 66, 72, 72, 67, 58, 47, 37, 31, 29, 31, 36, 42, 48, 52, 54, 54, 51, 43, 30, 13, 0, 2, 33, 104, 215, 357, 502, 619, 677, 659, 571, 440, 314, 238, 248, 350, 518, 705, 852, 911, 864, 725, 541, 377, 289, 313, 445, 649, 861, 1017, 1069, 1001, 831, 604, 373, 184, 59, 0, 0, 6, 28, 43, 50, 51, 49, 48, 50, 53, 58, 64, 69, 74, 75, 72, 65, 55, 44, 33, 24, 19, 16, 16, 17, 18, 21, 25, 30, 36, 39, 35, 21, 2, 0, 9, 77, 210, 399, 615, 811, 938, 958, 865, 685, 472, 290, 193, 208, 325, 503, 683, 809, 844, 778, 633, 449, 268, 126, 37, 0, 0, 12, 27, 34, 33, 28, 24, 26, 34, 44, 54, 61, 62, 60, 56, 51, 44, 32, 14, 0, 0, 19, 97, 235, 420, 624, 801, 909, 918, 827, 659, 457, 265, 118, 31, 0, 0, 4, 11, 10, 4, 0, 0, 6, 18, 31, 40, 44, 46, 45, 40, 30, 13, 0, 0, 17, 90, 217, 389, 575, 732, 822, 820, 726, 565, 378, 206, 80, 11, 0, 0, 13, 21, 16, 1, 0, 0, 39, 119, 234, 366, 486, 566, 584, 535, 432, 302, 177, 79, 19, 0, 0, 3, 9, 9, 4, 0, 0, 0, 3, 11, 18, 25, 31, 35, 39, 41, 41, 39, 36, 30, 22, 14, 8, 3, 0, 0, 0, 2, 6, 11, 16, 21, 24, 26, 24, 21, 18, 14, 13, 13, 14, 17, 20, 22, 23, 23, 20, 16, 10, 5, 1, 1, 5, 13, 23, 34, 41, 44, 40, 32, 21, 10, 2, 0, 2, 10, 20, 32, 41, 43, 35, 19, 0, 0, 10, 71, 181, 327, 485, 619, 695, 694, 617, 485, 331, 191, 86, 24, 0, 0, 0, 6, 15, 24, 30, 27, 11, 0, 0, 46, 192, 438, 760, 1100, 1376, 1517, 1482, 1280, 966, 620, 320, 113, 8, 0, 0, 17, 22, 12, 0, 0, 9, 33, 61, 84, 97, 100, 94, 84, 72, 60, 48, 37, 25, 15, 7, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 3, 7, 11, 15, 17, 16, 12, 7, 3, 0, 0, 0, 3, 6, 10, 12, 13, 12, 9, 5, 1, 0, 0, 2, 7, 16, 24, 31, 33, 31, 24, 15, 6, 0, 0, 1, 8, 15, 21, 25, 24, 20, 15, 9, 5, 3, 1, 0, 0, 1, 6, 15, 26, 33, 31, 17, 0, 0, 17, 96, 233, 412, 598, 743, 806, 765, 631, 441, 254, 124, 89, 158, 307, 489, 649, 739, 736, 645, 493, 322, 171, 65, 9, 0, 0, 8, 12, 7, 1, 0, 0, 3, 10, 14, 15, 13, 8, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 5, 5, 4, 3, 2, 3, 5, 7, 10, 11, 10, 9, 8, 9, 12, 16, 22, 27, 32, 34, 33, 30, 25, 20, 15, 11, 7, 5, 5, 6, 8, 12, 15, 18, 20, 20, 20, 18, 16, 14, 12, 11, 11, 12, 12, 14, 15, 15, 14, 13, 11, 9, 7, 7, 8, 11, 13, 16, 17, 17, 16, 13, 10, 7, 4, 3, 3, 4, 5, 7, 9, 11, 13, 16, 19, 23, 27, 31, 34, 37, 38, 39, 39, 39, 40, 42, 44, 45, 44, 41, 35, 27, 20, 14, 11, 11, 14, 17, 20, 22, 23, 23, 23, 22, 21, 21, 20, 20, 20, 19, 18, 17, 15, 13, 11, 10, 9, 10, 12, 14, 15, 16, 16, 16, 16, 17, 18, 19, 20, 20, 19, 19, 21, 26, 29, 26, 14, 0, 0, 8, 76, 200, 372, 562, 725, 818, 817, 721, 556, 366, 193, 68, 3, 0, 1, 19, 25, 14, 0, 0, 20, 106, 250, 433, 618, 760, 818, 777, 649, 468, 282, 131, 36, 0, 0, 3, 13, 16, 13, 11, 13, 19, 25, 27, 24, 16, 8, 1, 0, 0, 4, 8, 11, 12, 10, 8, 5, 2, 0, 0, 0, 5, 14, 23, 29, 25, 11, 0, 0, 25, 114, 263, 451, 637, 773, 821, 764, 621, 433, 248, 105, 21, 0, 0, 7, 17, 20, 19, 19, 23, 29, 34, 34, 30, 23, 18, 17, 20, 26, 32, 35, 35, 31, 26, 21, 17, 15, 15, 16, 18, 18, 17, 15, 12, 10, 8, 7, 7, 8, 10, 11, 12, 12, 10, 8, 6, 3, 1, 0, 2, 5, 10, 15, 19, 21, 20, 17, 13, 8, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 9, 16, 24, 32, 37, 37, 34, 27, 19, 11, 4, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 3, 8, 14, 19, 21, 20, 15, 10, 4, 0, 0, 0, 0, 2, 3, 5, 6, 7, 7, 6, 4, 1, 0, 1, 6, 15, 27, 39, 47, 48, 37, 17, 0, 0, 18, 92, 213, 363, 510, 616, 650, 604, 491, 342, 197, 84, 17, 0, 0, 11, 26, 36, 41, 41, 40, 35, 28, 18, 10, 6, 7, 16, 29, 45, 57, 61, 52, 31, 4, 0, 3, 70, 195, 366, 548, 695, 762, 726, 593, 402, 210, 78, 46, 125, 288, 484, 654, 749, 745, 649, 492, 318, 165, 58, 3, 0, 6, 33, 60, 83, 95, 94, 74, 39, 2, 0, 28, 148, 350, 610, 873, 1073, 1149, 1074, 863, 575, 289, 88, 25, 110, 308, 552, 765, 886, 885, 770, 582, 374, 192, 66, 2, 0, 1, 21, 32, 27, 10, 0, 0, 24, 112, 254, 434, 613, 749, 801, 756, 625, 446, 264, 119, 29, 0, 0, 5, 16, 20, 18, 16, 17, 20, 22, 20, 14, 6, 0, 0, 5, 13, 17, 13, 1, 0, 0, 45, 138, 272, 420, 545, 611, 597, 508, 371, 224, 103, 26, 0, 0, 3, 12, 15, 13, 11, 12, 16, 20, 20, 17, 11, 5, 0, 0, 0, 0, 2, 4, 4, 5, 4, 3, 2, 1, 1, 3, 5, 7, 9, 9, 8, 6, 4, 1, 0, 0, 0, 0, 2, 3, 5, 7, 7, 6, 5, 3, 1, 0, 0, 0, 4, 10, 18, 25, 31, 32, 29, 22, 14, 6, 1, 0, 0, 3, 9, 13, 17, 17, 15, 11, 7, 3, 2, 4, 9, 18, 29, 40, 46, 42, 25, 1, 0, 1, 70, 203, 388, 586, 749, 829, 802, 676, 490, 293, 133, 32, 0, 0, 5, 15, 16, 9, 3, 3, 8, 15, 20, 21, 19, 17, 15, 17, 19, 22, 22, 20, 16, 11, 7, 3, 1, 0, 0, 1, 6, 14, 24, 33, 38, 39, 34, 26, 17, 11, 11, 17, 30, 45, 60, 69, 72, 67, 55, 41, 27, 17, 12, 14, 20, 30, 40, 47, 49, 46, 39, 29, 20, 14, 12, 14, 19, 26, 36, 48, 61, 66, 57, 30, 0, 0, 19, 145, 369, 663, 964, 1191, 1273, 1179, 932, 604, 294, 95, 59, 187, 426, 692, 899, 985, 932, 764, 538, 313, 138, 33, 0, 0, 12, 28, 35, 37, 36, 37, 38, 38, 36, 32, 29, 28, 30, 33, 36, 36, 33, 30, 27, 28, 32, 40, 50, 59, 64, 63, 57, 46, 31, 17, 6, 0, 1, 8, 18, 29, 38, 42, 40, 34, 25, 15, 7, 2, 0, 3, 10, 20, 32, 42, 46, 39, 21, 0, 0, 14, 91, 225, 398, 573, 701, 740, 671, 509, 299, 105, 0, 0, 135, 367, 632, 853, 970, 953, 813, 596, 364, 171, 48, 0, 0, 5, 18, 21, 17, 11, 11, 17, 24, 29, 28, 24, 20, 17, 17, 20, 22, 22, 19, 14, 8, 2, 0, 0, 2, 8, 17, 26, 32, 35, 33, 27, 19, 10, 4, 2, 4, 9, 17, 23, 28, 29, 27, 23, 16, 11, 6, 2, 0, 0, 0, 5, 13, 23, 28, 22, 6, 0, 0, 37, 141, 301, 490, 664, 775, 789, 702, 541, 351, 180, 59, 0, 0, 2, 23, 38, 42, 39, 32, 26, 20, 15, 12, 10, 11, 13, 16, 17, 16, 13, 8, 3, 0, 0, 0, 1, 3, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 7, 8, 8, 7, 5, 3, 1, 0, 0, 2, 9, 18, 23, 21, 8, 0, 0, 24, 109, 247, 418, 583, 696, 723, 657, 516, 343, 182, 66, 4, 0, 0, 10, 15, 12, 5, 1, 1, 5, 8, 9, 6, 3, 0, 2, 7, 15, 22, 27, 28, 24, 17, 9, 2, 0, 0, 5, 12, 19, 24, 25, 23, 18, 11, 5, 0, 0, 0, 6, 14, 24, 33, 38, 38, 32, 23, 12, 4, 1, 3, 11, 24, 38, 51, 57, 51, 32, 5, 0, 0, 62, 191, 372, 570, 735, 820, 798, 678, 495, 300, 138, 34, 0, 0, 6, 24, 33, 35, 34, 33, 32, 30, 26, 21, 16, 13, 13, 19, 31, 46, 56, 52, 30, 0, 0, 7, 121, 333, 619, 920, 1158, 1261, 1200, 992, 701, 407, 174, 35, 0, 0, 10, 27, 30, 26, 25, 31, 43, 54, 56, 50, 37, 22, 10, 3, 0, 0, 1, 1, 0, 1, 3, 5, 8, 10, 10, 8, 6, 3, 1, 0, 1, 2, 5, 7, 9, 10, 11, 14, 17, 22, 27, 32, 35, 36, 34, 29, 23, 16, 12, 10, 10, 13, 15, 17, 16, 13, 10, 9, 11, 16, 25, 35, 42, 45, 42, 35, 25, 17, 13, 14, 22, 33, 44, 52, 54, 49, 39, 26, 14, 8, 11, 22, 39, 58, 73, 81, 77, 65, 48, 31, 19, 16, 23, 36, 52, 66, 76, 81, 80, 70, 53, 27, 0, 0, 9, 82, 212, 383, 558, 690, 736, 676, 521, 317, 128, 15, 18, 142, 354, 592, 786, 877, 838, 678, 445, 206, 35, 0, 83, 305, 598, 883, 1081, 1137, 1036, 805, 509, 228, 36, 0, 62, 259, 509, 742, 895, 931, 846, 671, 457, 256, 106, 20, 0, 0, 18, 36, 48, 55, 58, 60, 60, 55, 47, 38, 33, 35, 44, 58, 68, 68, 52, 24, 0, 0, 29, 124, 271, 445, 607, 711, 728, 654, 510, 336, 177, 63, 3, 0, 0, 15, 25, 26, 21, 15, 11, 9, 8, 8, 9, 12, 18, 27, 35, 38, 30, 12, 0, 0, 24, 112, 252, 422, 580, 682, 698, 622, 478, 308, 156, 50, 0, 0, 0, 13, 20, 19, 14, 11, 11, 12, 12, 10, 7, 3, 1, 3, 9, 19, 30, 37, 35, 21, 0, 0, 1, 67, 193, 365, 547, 691, 756, 721, 597, 423, 246, 105, 21, 0, 0, 7, 19, 21, 18, 15, 15, 18, 20, 19, 15, 9, 4, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 4, 9, 14, 19, 21, 21, 19, 14, 9, 4, 1, 0, 0, 2, 8, 17, 26, 33, 37, 36, 29, 19, 9, 2, 3, 10, 24, 41, 56, 65, 67, 61, 48, 33, 18, 8, 3, 5, 13, 23, 34, 42, 45, 43, 36, 27, 17, 9, 3, 1, 2, 6, 13, 23, 35, 42, 41, 27, 4, 0, 0, 63, 189, 369, 566, 730, 810, 776, 633, 419, 200, 44, 0, 79, 259, 481, 678, 791, 792, 688, 515, 323, 159, 50, 0, 0, 5, 22, 31, 32, 29, 24, 21, 17, 14, 10, 9, 11, 17, 27, 39, 47, 51, 49, 41, 31, 22, 16, 16, 22, 32, 43, 51, 55, 53, 44, 32, 18, 6, 0, 0, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 5, 17, 33, 50, 63, 69, 67, 58, 45, 30, 18, 11, 11, 16, 25, 35, 45, 51, 49, 37, 16, 0, 0, 23, 105, 238, 400, 555, 659, 678, 602, 448, 262, 100, 12, 23, 130, 299, 476, 610, 662, 622, 508, 356, 205, 89, 19, 0, 0, 13, 34, 53, 69, 80, 85, 81, 68, 48, 27, 11, 4, 8, 21, 38, 55, 66, 69, 64, 54, 41, 29, 21, 17, 19, 24, 32, 43, 55, 63, 62, 46, 17, 0, 0, 49, 192, 414, 679, 924, 1080, 1097, 964, 715, 421, 163, 6, 0, 88, 275, 482, 644, 718, 689, 573, 407, 239, 104, 22, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 0, 0, 19, 44, 63, 73, 75, 70, 60, 46, 33, 23, 19, 23, 32, 44, 54, 58, 56, 48, 36, 23, 12, 3, 0, 0, 2, 7, 13, 17, 19, 19, 18, 16, 18, 23, 32, 42, 50, 57, 63, 69, 73, 71, 55, 26, 0, 0, 26, 159, 387, 680, 971, 1185, 1257, 1166, 940, 644, 357, 139, 16, 0, 0, 25, 50, 59, 57, 50, 43, 37, 31, 24, 17, 12, 10, 12, 15, 18, 18, 15, 10, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 8, 11, 13, 13, 12, 10, 7, 4, 1, 0, 0, 2, 6, 12, 17, 20, 20, 17, 11, 5, 0, 0, 3, 11, 21, 32, 39, 42, 39, 32, 23, 15, 8, 5, 5, 8, 12, 17, 22, 25, 26, 25, 21, 16, 10, 6, 2, 1, 0, 2, 6, 13, 21, 27, 25, 14, 0, 0, 8, 75, 196, 358, 525, 655, 709, 671, 552, 387, 222, 93, 17, 0, 0, 8, 17, 16, 9, 3, 0, 1, 5, 9, 12, 14, 14, 14, 13, 11, 8, 5, 2, 0, 0, 1, 4, 8, 11, 14, 15, 15, 13, 12, 9, 8, 7, 7, 10, 14, 20, 27, 34, 38, 40, 38, 34, 30, 26, 24, 25, 27, 31, 34, 36, 36, 34, 32, 28, 25, 21, 17, 13, 9, 5, 2, 0, 0, 0, 1, 4, 6, 8, 9, 9, 7, 6, 5, 4, 5, 5, 6, 5, 4, 4, 5, 8, 13, 20, 27, 32, 34, 33, 28, 22, 16, 11, 7, 5, 4, 6, 9, 13, 17, 20, 21, 19, 15, 9, 4, 0, 0, 1, 4, 8, 10, 11, 9, 7, 4, 2, 0, 0, 0, 0, 2, 7, 12, 18, 22, 23, 21, 16, 10, 5, 1, 0, 0, 2, 7, 15, 23, 28, 24, 10, 0, 0, 18, 95, 223, 383, 540, 651, 683, 627, 499, 338, 184, 69, 5, 0, 0, 18, 37, 49, 54, 53, 47, 37, 24, 12, 3, 1, 6, 18, 32, 46, 55, 57, 51, 41, 28, 16, 9, 8, 13, 22, 34, 48, 62, 71, 72, 58, 29, 0, 0, 23, 136, 332, 588, 853, 1059, 1145, 1082, 880, 595, 306, 94, 14, 82, 267, 506, 724, 856, 869, 765, 583, 375, 192, 66, 2, 0, 2, 21, 33, 37, 36, 35, 37, 41, 46, 51, 55, 58, 61, 62, 65, 67, 68, 61, 42, 12, 0, 0, 54, 204, 434, 708, 961, 1123, 1147, 1025, 793, 517, 268, 91, 1, 0, 0, 21, 34, 33, 26, 20, 17, 17, 16, 13, 8, 3, 1, 3, 7, 11, 13, 13, 10, 6, 2, 0, 0, 0, 6, 15, 26, 36, 43, 44, 39, 29, 16, 5, 0, 0, 5, 15, 26, 33, 35, 32, 24, 14, 5, 0, 0, 2, 8, 16, 25, 32, 36, 36, 31, 24, 17, 12, 12, 16, 23, 31, 39, 48, 56, 62, 60, 44, 14, 0, 0, 50, 202, 441, 730, 1001, 1181, 1216, 1095, 854, 563, 295, 102, 2, 0, 0, 28, 48, 53, 48, 41, 36, 33, 30, 23, 16, 10, 9, 14, 22, 25, 18, 2, 0, 0, 52, 167, 334, 522, 684, 774, 763, 657, 486, 300, 142, 39, 0, 0, 3, 16, 20, 17, 12, 10, 11, 14, 15, 13, 8, 4, 1, 1, 2, 4, 5, 5, 3, 1, 0, 0, 1, 4, 9, 13, 15, 16, 15, 12, 8, 4, 2, 1, 2, 4, 6, 9, 11, 13, 14, 14, 15, 16, 17, 18, 19, 20, 21, 20, 19, 18, 17, 16, 16, 18, 19, 21, 21, 21, 19, 16, 14, 12, 10, 9, 8, 7, 6, 5, 5, 5, 6, 8, 9, 10, 11, 12, 13, 15, 16, 18, 20, 21, 22, 20, 18, 14, 10, 7, 6, 5, 5, 6, 6, 5, 4, 3, 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, 7, 8, 8, 7, 5, 5, 7, 12, 17, 23, 26, 27, 25, 20, 13, 7, 3, 1, 2, 6, 10, 14, 18, 20, 22, 23, 23, 22, 20, 17, 12, 8, 3, 0, 0, 1, 7, 16, 26, 35, 40, 39, 33, 24, 15, 9, 9, 16, 28, 43, 57, 66, 68, 61, 48, 32, 17, 8, 6, 12, 27, 45, 62, 75, 80, 74, 61, 43, 24, 10, 4, 6, 16, 32, 49, 65, 76, 78, 68, 46, 16, 0, 0, 50, 163, 333, 534, 721, 845, 867, 774, 587, 357, 153, 36, 46, 186, 419, 681, 896, 1002, 966, 795, 540, 275, 82, 21, 117, 348, 652, 942, 1141, 1194, 1095, 878, 605, 344, 146, 30, 0, 0, 22, 49, 66, 73, 74, 71, 65, 57, 49, 42, 39, 40, 46, 56, 66, 74, 75, 63, 36, 2, 0, 1, 93, 272, 523, 799, 1035, 1168, 1158, 1010, 767, 493, 251, 84, 0, 0, 3, 31, 50, 54, 48, 38, 31, 28, 29, 34, 41, 48, 54, 59, 60, 55, 40, 17, 0, 0, 20, 106, 247, 422, 595, 719, 760, 706, 572, 397, 226, 94, 16, 0, 0, 12, 30, 39, 38, 29, 14, 0, 0, 12, 67, 165, 296, 436, 552, 611, 593, 497, 346, 181, 48, 0, 26, 157, 350, 557, 722, 802, 776, 657, 480, 295, 140, 41, 0, 0, 3, 15, 19, 16, 11, 9, 9, 9, 9, 7, 4, 2, 2, 5, 7, 9, 9, 7, 5, 5, 7, 12, 17, 22, 26, 27, 26, 25, 22, 21, 19, 18, 17, 16, 15, 13, 11, 11, 12, 16, 20, 22, 19, 9, 0, 0, 13, 69, 162, 284, 410, 508, 554, 533, 452, 334, 209, 104, 34, 0, 0, 0, 8, 11, 10, 10, 13, 21, 31, 42, 49, 51, 48, 43, 36, 31, 26, 23, 20, 17, 15, 13, 12, 10, 8, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 7, 9, 10, 9, 7, 4, 2, 0, 0, 0, 1, 5, 11, 18, 24, 29, 29, 26, 19, 10, 3, 0, 0, 2, 7, 12, 14, 14, 12, 8, 5, 2, 0, 0, 0, 0, 1, 5, 10, 15, 18, 19, 16, 12, 8, 4, 1, 0, 0, 0, 6, 15, 23, 25, 16, 0, 0, 2, 71, 202, 385, 587, 755, 844, 827, 709, 525, 325, 156, 46, 0, 0, 3, 16, 20, 15, 6, 0, 0, 0, 2, 3, 4, 4, 4, 5, 7, 7, 6, 5, 3, 0, 0, 0, 0, 2, 6, 11, 15, 16, 16, 13, 8, 3, 0, 0, 0, 5, 12, 20, 25, 28, 26, 21, 14, 7, 0, 0, 1, 9, 23, 40, 55, 62, 58, 41, 17, 0, 0, 35, 121, 250, 401, 539, 627, 635, 557, 409, 235, 89, 21, 61, 205, 420, 646, 821, 896, 854, 710, 508, 303, 138, 36, 0, 0, 12, 29, 40, 47, 54, 58, 51, 28, 0, 0, 15, 140, 367, 672, 992, 1246, 1359, 1300, 1085, 777, 461, 205, 46, 0, 0, 17, 46, 60, 59, 50, 38, 28, 19, 11, 5, 2, 5, 14, 25, 34, 36, 26, 7, 0, 0, 41, 146, 302, 481, 641, 735, 736, 644, 486, 307, 152, 47, 0, 0, 4, 18, 27, 32, 38, 47, 50, 40, 13, 0, 0, 62, 232, 496, 810, 1100, 1286, 1313, 1173, 909, 595, 310, 107, 3, 0, 0, 26, 42, 43, 33, 22, 14, 10, 7, 5, 4, 5, 8, 12, 16, 17, 16, 12, 6, 1, 0, 0, 3, 11, 22, 33, 40, 41, 35, 25, 13, 4, 0, 1, 7, 14, 22, 29, 36, 42, 43, 35, 17, 0, 0, 12, 95, 239, 425, 614, 755, 807, 754, 612, 423, 236, 93, 10, 0, 0, 17, 37, 47, 42, 25, 3, 0, 0, 45, 151, 305, 482, 638, 731, 733, 643, 488, 311, 155, 47, 0, 0, 6, 32, 53, 65, 67, 62, 53, 42, 32, 26, 25, 29, 36, 45, 54, 62, 68, 72, 69, 55, 30, 0, 0, 17, 116, 293, 534, 795, 1014, 1132, 1112, 954, 698, 412, 172, 41, 48, 183, 400, 633, 813, 894, 856, 719, 523, 320, 152, 45, 0, 0, 12, 33, 47, 50, 46, 39, 31, 24, 19, 17, 19, 25, 35, 48, 58, 64, 64, 57, 44, 31, 20, 14, 15, 22, 32, 43, 53, 57, 53, 40, 19, 0, 0, 16, 86, 203, 349, 492, 594, 620, 558, 419, 243, 82, 0, 5, 136, 356, 614, 842, 978, 984, 858, 636, 377, 150, 9, 0, 72, 241, 439, 612, 712, 719, 636, 491, 324, 175, 69, 12, 0, 0, 8, 15, 15, 12, 9, 9, 11, 12, 11, 8, 2, 0, 0, 0, 5, 13, 17, 11, 0, 0, 3, 59, 168, 324, 499, 650, 738, 738, 648, 497, 323, 169, 60, 3, 0, 0, 13, 23, 27, 26, 25, 24, 23, 21, 20, 19, 21, 26, 32, 36, 38, 35, 28, 19, 10, 3, 0, 0, 1, 9, 21, 36, 49, 58, 59, 53, 40, 26, 14, 10, 15, 27, 45, 62, 72, 71, 55, 29, 1, 0, 11, 80, 198, 348, 496, 606, 647, 607, 499, 353, 207, 92, 22, 0, 0, 11, 25, 36, 47, 58, 63, 54, 25, 0, 0, 44, 223, 528, 922, 1323, 1629, 1751, 1654, 1367, 971, 571, 253, 59, 0, 0, 14, 37, 38, 25, 8, 0, 0, 4, 9, 10, 8, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 5, 10, 15, 20, 23, 24, 23, 21, 18, 17, 17, 20, 24, 29, 32, 33, 32, 28, 23, 19, 17, 17, 20, 24, 27, 28, 26, 21, 14, 7, 1, 0, 1, 7, 15, 23, 29, 30, 28, 21, 13, 5, 0, 0, 1, 6, 11, 15, 17, 16, 13, 9, 5, 2, 0, 0, 0, 1, 4, 9, 15, 20, 25, 29, 31, 31, 30, 30, 30, 32, 38, 46, 56, 63, 63, 50, 26, 0, 0, 15, 98, 241, 428, 622, 776, 850, 823, 704, 526, 333, 168, 56, 0, 0, 1, 19, 31, 34, 32, 29, 26, 25, 24, 23, 23, 24, 25, 29, 35, 43, 50, 50, 39, 17, 0, 0, 32, 150, 345, 596, 852, 1050, 1134, 1083, 910, 664, 407, 195, 58, 0, 0, 4, 24, 35, 39, 38, 38, 39, 39, 37, 31, 25, 21, 19, 21, 24, 27, 29, 28, 24, 19, 15, 12, 12, 17, 26, 37, 48, 57, 61, 60, 53, 44, 34, 25, 21, 21, 24, 29, 33, 34, 31, 24, 16, 9, 5, 5, 10, 19, 29, 39, 46, 46, 38, 20, 0, 0, 6, 68, 181, 332, 495, 631, 702, 689, 597, 450, 288, 147, 49, 1, 0, 0, 13, 21, 23, 22, 19, 16, 13, 10, 8, 9, 13, 22, 36, 51, 66, 73, 67, 46, 14, 0, 0, 64, 216, 449, 730, 1001, 1197, 1266, 1189, 988, 716, 438, 211, 63, 0, 0, 10, 36, 53, 59, 55, 48, 40, 33, 26, 18, 11, 6, 3, 4, 10, 17, 22, 19, 7, 0, 0, 25, 109, 245, 416, 583, 705, 745, 693, 563, 393, 226, 97, 20, 0, 0, 7, 16, 16, 10, 3, 0, 0, 0, 0, 2, 4, 6, 9, 11, 12, 12, 9, 5, 2, 0, 0, 0, 2, 5, 8, 10, 10, 8, 6, 3, 1, 0, 0, 0, 2, 7, 14, 21, 27, 30, 29, 26, 20, 16, 15, 17, 23, 31, 39, 45, 47, 42, 27, 7, 0, 0, 38, 127, 262, 421, 571, 674, 702, 647, 525, 369, 215, 94, 20, 0, 0, 14, 35, 50, 53, 45, 25, 1, 0, 3, 66, 184, 349, 530, 687, 779, 780, 690, 536, 356, 193, 75, 11, 0, 0, 10, 16, 15, 9, 3, 0, 0, 2, 3, 2, 1, 1, 2, 6, 10, 13, 15, 14, 11, 7, 4, 1, 0, 0, 0, 6, 14, 23, 31, 34, 33, 26, 16, 7, 0, 0, 0, 4, 11, 18, 23, 25, 23, 18, 12, 5, 0, 0, 2, 10, 22, 37, 51, 63, 70, 71, 66, 58, 51, 48, 48, 54, 62, 73, 82, 86, 81, 60, 27, 0, 0, 35, 170, 399, 698, 1010, 1264, 1394, 1365, 1186, 904, 590, 312, 116, 12, 0, 0, 29, 50, 57, 53, 45, 36, 30, 24, 19, 16, 14, 16, 19, 21, 17, 6, 0, 0, 25, 101, 226, 383, 540, 659, 706, 668, 557, 402, 243, 114, 32, 0, 0, 3, 13, 17, 15, 11, 8, 9, 10, 11, 10, 8, 6, 5, 6, 10, 17, 26, 35, 43, 49, 50, 47, 40, 33, 27, 25, 27, 32, 39, 45, 46, 43, 35, 25, 17, 13, 17, 27, 43, 60, 74, 82, 81, 72, 59, 44, 31, 25, 24, 30, 37, 44, 47, 45, 37, 26, 15, 5, 0, 0, 4, 14, 26, 38, 45, 47, 43, 33, 21, 11, 7, 10, 19, 31, 44, 56, 64, 66, 59, 41, 14, 0, 0, 41, 162, 354, 594, 834, 1017, 1095, 1048, 889, 660, 417, 210, 70, 4, 0, 20, 51, 70, 72, 59, 40, 24, 16, 19, 31, 49, 69, 85, 93, 87, 66, 34, 1, 0, 15, 104, 255, 454, 662, 834, 926, 914, 802, 620, 411, 220, 81, 6, 0, 9, 44, 74, 86, 75, 47, 14, 0, 3, 59, 164, 308, 468, 609, 695, 704, 629, 488, 320, 172, 90, 104, 218, 409, 631, 826, 942, 945, 832, 631, 395, 186, 59, 48, 151, 339, 556, 742, 848, 849, 749, 580, 387, 213, 87, 17, 0, 0, 15, 31, 41, 46, 46, 37, 20, 0, 0, 15, 99, 252, 466, 705, 918, 1050, 1067, 962, 765, 526, 300, 128, 28, 0, 0, 9, 20, 20, 13, 4, 0, 0, 1, 4, 4, 3, 1, 0, 0, 1, 4, 7, 10, 13, 14, 15, 15, 14, 12, 11, 10, 8, 7, 6, 5, 4, 3, 3, 5, 8, 11, 14, 17, 17, 15, 12, 8, 4, 1, 0, 1, 2, 5, 7, 8, 9, 10, 10, 11, 12, 11, 10, 8, 6, 4, 5, 7, 10, 13, 14, 14, 11, 7, 4, 1, 0, 0, 1, 5, 10, 15, 16, 9, 0, 0, 5, 53, 144, 274, 422, 555, 642, 659, 604, 490, 348, 209, 100, 30, 0, 0, 2, 11, 14, 12, 7, 2, 0, 0, 0, 2, 4, 5, 6, 6, 5, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 6, 13, 17, 15, 6, 0, 0, 20, 85, 191, 326, 463, 569, 618, 594, 507, 378, 241, 124, 44, 3, 0, 0, 9, 15, 16, 15, 15, 18, 22, 28, 34, 38, 43, 49, 55, 59, 59, 50, 32, 9, 0, 2, 51, 151, 300, 474, 641, 761, 803, 756, 632, 462, 287, 141, 45, 0, 0, 3, 19, 29, 32, 28, 22, 14, 7, 2, 0, 2, 12, 27, 44, 55, 55, 43, 20, 0, 0, 30, 106, 225, 371, 517, 630, 685, 667, 581, 449, 300, 165, 65, 9, 0, 3, 29, 60, 86, 101, 101, 82, 49, 13, 0, 18, 106, 265, 481, 718, 924, 1051, 1064, 956, 754, 507, 279, 125, 80, 149, 306, 502, 681, 793, 806, 717, 551, 354, 183, 87, 94, 207, 398, 617, 804, 908, 901, 782, 584, 365, 185, 99, 131, 275, 491, 718, 896, 977, 945, 811, 614, 401, 216, 85, 14, 0, 5, 27, 46, 55, 55, 48, 38, 27, 19, 14, 12, 15, 20, 27, 34, 37, 36, 31, 22, 14, 8, 8, 12, 21, 32, 43, 52, 58, 58, 47, 26, 1, 0, 4, 77, 218, 420, 651, 866, 1013, 1057, 986, 819, 599, 375, 189, 64, 3, 0, 7, 30, 48, 55, 53, 46, 38, 34, 34, 41, 53, 68, 83, 89, 82, 60, 29, 4, 2, 44, 143, 297, 490, 685, 842, 921, 901, 782, 591, 376, 192, 90, 99, 217, 416, 644, 842, 959, 967, 867, 689, 477, 279, 127, 35, 0, 0, 6, 17, 22, 23, 23, 25, 31, 37, 43, 47, 49, 51, 53, 56, 60, 62, 57, 44, 22, 0, 0, 16, 94, 231, 417, 619, 795, 901, 911, 821, 654, 454, 263, 117, 29, 0, 0, 6, 17, 20, 17, 10, 5, 3, 2, 2, 2, 2, 3, 5, 7, 9, 9, 7, 4, 1, 1, 4, 11, 22, 36, 49, 60, 65, 61, 46, 23, 1, 0, 15, 83, 200, 357, 527, 675, 767, 780, 712, 580, 416, 254, 124, 39, 0, 0, 8, 26, 39, 46, 45, 40, 34, 27, 20, 15, 11, 10, 9, 10, 12, 13, 13, 13, 11, 8, 5, 2, 1, 2, 7, 14, 25, 37, 46, 46, 36, 15, 0, 0, 30, 126, 281, 479, 684, 850, 936, 922, 811, 633, 431, 246, 109, 28, 0, 0, 9, 20, 23, 20, 13, 7, 2, 0, 0, 1, 3, 6, 10, 13, 16, 16, 13, 9, 5, 1, 0, 0, 1, 5, 9, 13, 15, 15, 12, 8, 4, 0, 0, 0, 2, 8, 14, 20, 23, 23, 19, 13, 8, 7, 12, 22, 35, 50, 63, 72, 75, 69, 53, 29, 3, 0, 10, 82, 218, 411, 634, 847, 1003, 1066, 1021, 879, 676, 454, 256, 110, 26, 0, 0, 11, 23, 22, 9, 0, 0, 23, 99, 221, 376, 536, 666, 734, 723, 635, 494, 332, 184, 75, 14, 0, 6, 26, 43, 49, 43, 31, 18, 10, 10, 19, 34, 52, 69, 80, 83, 74, 54, 28, 5, 0, 20, 82, 184, 315, 453, 568, 631, 624, 545, 412, 262, 135, 70, 88, 189, 347, 524, 672, 753, 746, 651, 495, 316, 164, 76, 79, 172, 333, 524, 696, 805, 825, 750, 601, 415, 239, 117, 77, 123, 240, 391, 536, 636, 667, 623, 519, 380, 239, 122, 45, 12, 13, 34, 56, 66, 59, 37, 12, 0, 13, 68, 165, 295, 437, 562, 644, 662, 610, 501, 361, 228, 137, 113, 165, 281, 430, 573, 672, 696, 639, 514, 354, 205, 110, 101, 189, 356, 566, 768, 914, 969, 921, 785, 595, 393, 217, 92, 21, 0, 0, 7, 15, 17, 15, 13, 13, 14, 15, 17, 19, 21, 25, 29, 33, 35, 35, 31, 26, 19, 14, 10, 8, 8, 10, 13, 15, 16, 16, 14, 12, 10, 9, 10, 14, 19, 26, 33, 39, 41, 39, 34, 26, 18, 12, 10, 13, 19, 28, 37, 44, 46, 43, 37, 28, 20, 14, 10, 10, 13, 18, 23, 27, 29, 28, 26, 22, 18, 15, 14, 14, 16, 20, 25, 30, 33, 35, 31, 22, 8, 0, 0, 24, 88, 192, 325, 463, 578, 643, 644, 580, 469, 336, 208, 107, 43, 15, 13, 23, 33, 32, 20, 3, 0, 3, 48, 133, 252, 388, 514, 602, 631, 595, 503, 377, 244, 130, 49, 5, 0, 0, 13, 23, 24, 15, 1, 0, 0, 35, 105, 206, 326, 440, 524, 557, 532, 454, 343, 225, 122, 49, 9, 0, 0, 6, 12, 13, 11, 8, 7, 7, 8, 10, 11, 11, 10, 8, 5, 3, 1, 0, 0, 0, 0, 1, 3, 5, 8, 9, 9, 8, 5, 3, 3, 5, 9, 15, 21, 26, 30, 34, 37, 38, 39, 38, 35, 31, 25, 19, 14, 12, 12, 14, 18, 22, 26, 28, 28, 25, 21, 15, 9, 5, 3, 4, 7, 11, 14, 16, 16, 13, 9, 5, 1, 0, 2, 7, 17, 29, 41, 51, 55, 52, 39, 20, 0, 0, 10, 67, 167, 304, 457, 595, 687, 713, 667, 560, 419, 275, 154, 71, 30, 21, 29, 40, 44, 35, 18, 0, 0, 12, 63, 150, 264, 387, 494, 559, 566, 512, 411, 292, 192, 143, 164, 257, 399, 554, 681, 745, 728, 633, 486, 325, 192, 122, 133, 222, 366, 528, 667, 746, 746, 666, 527, 366, 225, 142, 137, 212, 348, 509, 655, 749, 771, 717, 602, 453, 300, 169, 75, 21, 0, 0, 6, 15, 18, 18, 13, 8, 3, 1, 1, 3, 7, 12, 16, 18, 17, 13, 8, 3, 0, 0, 2, 7, 14, 21, 25, 25, 22, 17, 10, 4, 0, 0, 0, 6, 15, 26, 38, 47, 53, 52, 46, 37, 28, 22, 19, 22, 27, 34, 40, 41, 37, 25, 10, 0, 0, 25, 87, 184, 308, 438, 545, 605, 603, 538, 430, 309, 211, 167, 192, 284, 419, 564, 679, 734, 713, 623, 485, 330, 190, 85, 23, 0, 0, 4, 11, 13, 11, 7, 3, 1, 1, 1, 3, 6, 11, 17, 23, 26, 22, 13, 1, 0, 7, 49, 128, 242, 377, 508, 607, 652, 631, 549, 425, 288, 164, 72, 18, 0, 0, 2, 6, 6, 3, 0, 0, 0, 0, 2, 5, 8, 12, 18, 21, 20, 12, 1, 0, 2, 39, 114, 224, 357, 491, 598, 656, 652, 589, 481, 352, 225, 120, 48, 9, 0, 4, 19, 33, 43, 48, 48, 44, 39, 33, 27, 23, 21, 21, 25, 30, 36, 42, 46, 47, 45, 41, 37, 35, 37, 45, 55, 65, 69, 63, 46, 22, 3, 1, 33, 109, 228, 379, 537, 672, 756, 769, 709, 590, 438, 284, 154, 63, 13, 0, 0, 7, 14, 16, 14, 10, 6, 3, 1, 1, 1, 2, 5, 10, 16, 22, 27, 30, 31, 31, 30, 32, 37, 44, 55, 67, 78, 84, 82, 71, 54, 37, 34, 56, 114, 208, 329, 458, 568, 636, 644, 593, 493, 368, 243, 140, 70, 34, 24, 28, 32, 29, 18, 3, 0, 4, 41, 109, 205, 316, 421, 501, 540, 529, 473, 385, 284, 188, 111, 62, 41, 40, 51, 61, 65, 57, 42, 27, 24, 47, 104, 195, 310, 429, 528, 584, 582, 523, 422, 306, 206, 149, 152, 214, 319, 442, 552, 624, 640, 600, 513, 397, 274, 166, 85, 37, 22, 31, 55, 82, 102, 108, 97, 71, 42, 25, 40, 104, 225, 398, 600, 797, 950, 1026, 1006, 895, 719, 521, 347, 235, 205, 256, 364, 492, 602, 661, 656, 587, 473, 339, 210, 107, 40, 8, 6, 20, 40, 53, 54, 39, 15, 0, 0, 51, 168, 353, 588, 838, 1054, 1191, 1218, 1127, 940, 699, 453, 245, 100, 22, 0, 0, 6, 12, 10, 5, 0, 0, 0, 1, 4, 8, 12, 16, 18, 19, 17, 13, 7, 2, 0, 0, 5, 15, 27, 39, 47, 50, 47, 38, 26, 15, 8, 7, 12, 21, 33, 45, 53, 57, 57, 53, 47, 41, 38, 38, 44, 54, 66, 77, 83, 80, 67, 47, 26, 14, 24, 64, 139, 243, 362, 474, 557, 593, 573, 503, 403, 302, 231, 212, 257, 354, 479, 595, 670, 680, 620, 507, 373, 258, 199, 218, 316, 472, 649, 803, 894, 897, 812, 660, 483, 326, 229, 216, 287, 420, 576, 712, 791, 794, 719, 584, 421, 263, 135, 50, 8, 0, 0, 6, 8, 6, 1, 0, 0, 0, 1, 3, 5, 7, 8, 10, 10, 10, 8, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 10, 12, 13, 11, 8, 5, 3, 4, 8, 14, 21, 28, 32, 33, 30, 25, 19, 13, 9, 7, 7, 10, 15, 20, 24, 27, 29, 28, 27, 25, 25, 27, 31, 37, 44, 53, 61, 68, 72, 71, 63, 48, 33, 26, 40, 87, 172, 293, 433, 570, 674, 724, 709, 631, 509, 367, 232, 123, 50, 12, 1, 4, 12, 18, 19, 17, 13, 10, 9, 11, 15, 19, 23, 25, 24, 20, 15, 10, 6, 5, 7, 12, 20, 29, 36, 41, 40, 36, 27, 18, 10, 5, 4, 8, 15, 23, 30, 34, 36, 34, 29, 22, 16, 11, 9, 11, 15, 21, 24, 23, 15, 4, 0, 4, 37, 105, 208, 337, 471, 586, 658, 671, 622, 521, 391, 257, 142, 59, 13, 0, 0, 9, 17, 19, 16, 11, 6, 4, 5, 10, 16, 24, 31, 37, 40, 40, 37, 31, 24, 18, 15, 17, 25, 35, 46, 54, 57, 54, 45, 35, 25, 19, 18, 24, 34, 47, 57, 64, 65, 59, 48, 36, 25, 22, 30, 47, 71, 90, 96, 80, 47, 11, 0, 43, 163, 359, 603, 844, 1020, 1085, 1024, 866, 673, 520, 468, 537, 698, 887, 1028, 1062, 971, 779, 541, 319, 158, 72, 43, 40, 35, 24, 27, 78, 206, 412, 663, 896, 1043, 1054, 923, 694, 441, 247, 169, 216, 355, 520, 646, 690, 643, 534, 404, 296, 232, 213, 224, 243, 254, 252, 240, 225, 213, 206, 204, 203, 200, 195, 187, 180, 174, 169, 166, 166, 166, 168, 170, 172, 172, 171, 169, 167, 167, 169, 174, 180, 186, 192, 196, 198, 200, 202, 204, 207, 212, 217, 222, 227, 230, 233, 236, 238, 241, 242, 240, 233, 220, 200, 174, 145, 115, 88, 65, 47, 35, 28, 26, 27, 30, 34, 38, 42, 45, 48, 50, 52, 53, 54, 55, 56, 58, 60, 63, 66, 69, 73, 76, 81, 85, 91, 96, 100, 102, 100, 96, 91, 85, 81, 80, 82, 88, 95, 102, 107, 108, 106, 100, 94, 88, 84, 84, 87, 93, 102, 113, 123, 133, 143, 152, 162, 177, 198, 229, 272, 326, 391, 465, 544, 629, 719, 818, 932, 1069, 1237, 1440, 1677, 1936, 2194, 2419, 2575, 2631, 2566, 2379, 2087, 1726, 1338, 968, 652, 409, 244, 147, 100, 83, 81, 80, 75, 65, 51, 37, 24, 14, 8, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 5, 6, 7, 7, 6, 4, 3, 3, 4, 6, 9, 10, 11, 10, 9, 7, 5, 5, 6, 8, 11, 13, 14, 15, 14, 12, 11, 10, 10, 10, 12, 13, 15, 17, 19, 20, 20, 19, 18, 17, 17, 17, 18, 19, 21, 22, 24, 25, 26, 25, 24, 22, 19, 16, 14, 12, 10, 9, 8, 7, 6, 4, 3, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 4, 7, 9, 11, 13, 13, 13, 13, 13, 13, 14, 16, 18, 20, 22, 22, 22, 20, 18, 15, 13, 12, 11, 10, 10, 10, 10, 10, 10, 9, 7, 5, 4, 3, 5, 8, 12, 16, 19, 22, 23, 25, 25, 26, 27, 27, 27, 27, 27, 28, 29, 31, 32, 31, 30, 27, 24, 20, 17, 14, 12, 10, 9, 8, 7, 7, 7, 7, 8, 8, 8, 9, 10, 11, 13, 14, 16, 16, 16, 14, 11, 7, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 5, 7, 8, 10, 11, 11, 10, 9, 7, 5, 4, 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, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 9, 7, 5, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 4, 4, 4, 4, 5, 7, 9, 12, 16, 19, 21, 23, 23, 23, 23, 21, 20, 18, 16, 14, 13, 11, 10, 9, 9, 8, 8, 7, 7, 6, 6, 7, 8, 10, 12, 14, 16, 17, 17, 16, 15, 15, 15, 14, 13, 12, 11, 10, 10, 10, 11, 12, 12, 11, 9, 7, 5, 3, 3, 4, 6, 7, 7, 7, 6, 5, 5, 6, 7, 9, 11, 14, 16, 17, 17, 16, 14, 12, 10, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 9, 10, 13, 16, 20, 25, 30, 35, 40, 42, 44, 43, 42, 40, 39, 40, 42, 45, 49, 53, 55, 55, 52, 47, 41, 34, 29, 26, 24, 23, 23, 22, 21, 18, 16, 14, 12, 11, 11, 11, 11, 10, 10, 9, 9, 9, 8, 8, 7, 6, 5, 5, 5, 5, 5, 5, 4, 4, 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, 1, 2, 4, 6, 9, 12, 15, 17, 19, 19, 19, 18, 17, 17, 19, 21, 25, 29, 32, 34, 35, 34, 33, 31, 29, 27, 25, 24, 23, 22, 22, 22, 22, 22, 22, 22, 21, 19, 18, 16, 15, 14, 13, 14, 15, 16, 17, 18, 18, 16, 14, 12, 10, 8, 7, 6, 6, 6, 6, 6, 5, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 2, 2, 3, 4, 5, 6, 7, 7, 7, 6, 6, 6, 6, 7, 8, 9, 11, 14, 17, 21, 25, 28, 31, 31, 31, 28, 25, 22, 19, 17, 16, 15, 14, 13, 11, 9, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 3, 3, 3, 3, 3, 4, 4, 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, 1, 2, 3, 5, 7, 9, 12, 15, 17, 18, 19, 18, 16, 14, 12, 12, 12, 14, 15, 16, 17, 16, 15, 13, 12, 12, 11, 11, 11, 11, 12, 12, 13, 13, 13, 13, 12, 12, 11, 12, 13, 14, 16, 17, 18, 18, 17, 15, 13, 11, 9, 8, 8, 8, 7, 7, 6, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 5, 6, 7, 10, 12, 16, 19, 22, 24, 25, 24, 23, 21, 20, 20, 21, 23, 25, 26, 26, 25, 24, 22, 20, 18, 17, 17, 17, 18, 18, 19, 19, 19, 19, 18, 18, 17, 17, 17, 19, 22, 26, 32, 38, 43, 47, 49, 50, 48, 46, 43, 40, 37, 36, 35, 36, 37, 37, 36, 33, 30, 26, 23, 20, 18, 16, 14, 12, 11, 10, 10, 11, 13, 14, 15, 16, 16, 17, 18, 19, 20, 22, 23, 23, 22, 19, 17, 14, 13, 13, 14, 15, 16, 17, 16, 15, 13, 12, 10, 9, 9, 8, 7, 6, 4, 3, 2, 2, 2, 4, 6, 8, 8, 8, 7, 5, 4, 3, 2, 3, 3, 4, 4, 4, 3, 3, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 3, 7, 10, 14, 17, 18, 19, 19, 19, 19, 19, 20, 21, 23, 25, 27, 29, 30, 31, 31, 31, 30, 29, 28, 28, 28, 30, 32, 35, 38, 40, 40, 40, 38, 36, 34, 33, 33, 34, 37, 40, 43, 44, 43, 41, 37, 33, 28, 25, 23, 22, 21, 20, 19, 17, 15, 14, 13, 12, 12, 11, 11, 10, 9, 9, 9, 9, 9, 8, 7, 7, 6, 7, 8, 10, 12, 14, 15, 16, 16, 17, 17, 16, 15, 14, 12, 10, 9, 8, 8, 8, 8, 7, 5, 3, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 4, 6, 9, 11, 14, 15, 16, 17, 17, 16, 16, 15, 14, 13, 11, 10, 9, 8, 7, 5, 4, 3, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 6, 8, 10, 13, 16, 18, 19, 19, 19, 18, 17, 15, 12, 10, 8, 6, 5, 5, 5, 4, 4, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 3, 4, 5, 6, 7, 8, 8, 8, 8, 8, 9, 12, 15, 18, 20, 21, 21, 20, 19, 19, 19, 20, 22, 24, 26, 28, 30, 31, 32, 32, 31, 29, 27, 25, 24, 23, 22, 22, 23, 23, 23, 23, 22, 22, 21, 20, 19, 18, 16, 15, 13, 11, 10, 9, 8, 8, 7, 7, 6, 6, 5, 5, 5, 5, 5, 6, 7, 7, 7, 7, 6, 4, 3, 2, 1, 2, 2, 3, 4, 3, 3, 2, 1, 0, 0, 1, 1, 2, 3, 3, 2, 2, 1, 1, 1, 1, 1, 3, 4, 6, 8, 11, 13, 15, 17, 18, 19, 19, 19, 19, 19, 20, 21, 23, 24, 24, 23, 22, 21, 19, 18, 17, 17, 16, 16, 15, 15, 15, 16, 17, 18, 18, 16, 14, 12, 10, 8, 8, 8, 9, 9, 9, 8, 8, 7, 7, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 6, 6, 8, 10, 13, 15, 18, 20, 23, 25, 27, 29, 30, 31, 31, 30, 30, 30, 31, 33, 35, 36, 35, 32, 28, 23, 19, 17, 17, 19, 22, 24, 25, 25, 24, 23, 21, 20, 19, 18, 17, 17, 17, 17, 17, 17, 17, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 7, 7, 6, 6, 6, 5, 5, 6, 6, 7, 8, 8, 8, 8, 7, 6, 6, 6, 7, 9, 13, 18, 24, 31, 37, 42, 46, 47, 47, 46, 43, 40, 36, 33, 28, 24, 21, 18, 17, 16, 16, 16, 15, 13, 12, 11, 12, 13, 15, 17, 19, 19, 18, 17, 15, 13, 11, 11, 11, 11, 11, 10, 10, 9, 9, 8, 8, 8, 8, 7, 7, 7, 6, 6, 5, 4, 3, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 5, 5, 6, 7, 8, 9, 10, 11, 10, 9, 7, 5, 4, 4, 4, 4, 5, 4, 4, 3, 2, 2, 3, 4, 5, 6, 7, 8, 8, 9, 9, 10, 10, 11, 11, 10, 10, 9, 9, 10, 12, 14, 17, 19, 21, 22, 22, 21, 20, 19, 18, 18, 18, 18, 19, 19, 18, 16, 14, 12, 12, 12, 14, 15, 16, 16, 16, 15, 14, 14, 14, 14, 13, 12, 11, 10, 9, 8, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 3, 3, 4, 4, 4, 4, 4, 3, 4, 4, 5, 6, 6, 5, 4, 3, 2, 1, 1, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 11, 11, 11, 12, 12, 13, 14, 14, 14, 12, 11, 10, 10, 10, 12, 13, 14, 14, 13, 12, 11, 10, 10, 10, 11, 11, 11, 11, 11, 12, 13, 13, 14, 14, 14, 14, 14, 14, 15, 16, 17, 18, 17, 16, 15, 15, 16, 18, 21, 24, 28, 30, 32, 34, 35, 35, 36, 37, 39, 42, 44, 47, 48, 48, 48, 46, 45, 44, 42, 41, 39, 38, 37, 37, 37, 37, 37, 36, 35, 33, 31, 29, 27, 25, 24, 22, 20, 18, 17, 16, 16, 17, 19, 21, 23, 25, 28, 30, 32, 34, 35, 36, 37, 37, 36, 36, 36, 37, 37, 38, 39, 39, 38, 36, 34, 31, 29, 26, 23, 21, 18, 16, 15, 13, 12, 10, 9, 9, 8, 8, 9, 9, 9, 9, 8, 8, 8, 8, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6, 5, 4, 3, 3, 3, 3, 4, 5, 6, 7, 9, 11, 12, 12, 12, 11, 9, 8, 6, 6, 6, 7, 8, 8, 8, 8, 7, 7, 8, 8, 9, 10, 11, 12, 13, 15, 18, 21, 24, 27, 28, 27, 26, 25, 24, 24, 24, 24, 23, 23, 21, 20, 19, 18, 17, 15, 13, 11, 9, 7, 6, 6, 7, 8, 9, 9, 8, 8, 8, 9, 10, 13, 15, 18, 20, 21, 21, 21, 21, 20, 20, 20, 19, 18, 17, 15, 12, 9, 7, 5, 4, 3, 3, 4, 5, 6, 7, 8, 7, 6, 5, 3, 2, 2, 3, 3, 4, 4, 5, 6, 8, 10, 12, 14, 14, 14, 13, 11, 10, 9, 9, 9, 9, 8, 7, 6, 4, 3, 2, 1, 1, 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, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 5, 8, 10, 11, 11, 11, 10, 10, 10, 10, 10, 10, 8, 6, 4, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 13, 15, 17, 19, 19, 20, 20, 21, 22, 23, 23, 23, 23, 22, 23, 24, 26, 27, 28, 29, 29, 30, 31, 33, 35, 36, 37, 36, 33, 30, 28, 26, 26, 26, 26, 25, 24, 23, 21, 19, 17, 16, 15, 14, 12, 12, 11, 11, 12, 13, 13, 13, 12, 12, 11, 12, 12, 14, 16, 18, 20, 22, 24, 26, 27, 28, 29, 31, 31, 31, 30, 28, 25, 22, 20, 18, 16, 15, 15, 14, 13, 11, 10, 8, 7, 6, 6, 5, 6, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16, 18, 19, 21, 23, 25, 27, 27, 27, 26, 25, 23, 20, 18, 16, 14, 13, 13, 13, 14, 14, 14, 14, 15, 16, 18, 20, 22, 23, 23, 23, 23, 22, 23, 23, 25, 27, 28, 31, 33, 36, 38, 40, 41, 41, 39, 36, 33, 31, 29, 28, 27, 26, 23, 20, 17, 15, 14, 15, 17, 18, 19, 19, 18, 16, 14, 13, 13, 14, 15, 16, 16, 16, 15, 13, 12, 10, 8, 7, 7, 8, 8, 9, 10, 10, 10, 9, 9, 8, 9, 9, 10, 11, 11, 11, 10, 10, 10, 10, 11, 12, 12, 13, 13, 13, 12, 12, 12, 12, 12, 12, 11, 11, 10, 10, 9, 8, 7, 6, 5, 4, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 4, 4, 3, 2, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 6, 8, 10, 12, 14, 14, 14, 12, 10, 8, 7, 7, 7, 8, 10, 10, 10, 10, 9, 8, 7, 6, 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, 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, 3, 5, 7, 10, 12, 14, 15, 14, 13, 13, 13, 14, 16, 18, 20, 22, 21, 20, 18, 16, 14, 13, 13, 13, 14, 14, 14, 13, 11, 10, 10, 10, 12, 15, 17, 19, 21, 22, 23, 24, 26, 27, 29, 30, 29, 28, 25, 23, 20, 19, 18, 19, 19, 20, 20, 19, 18, 16, 15, 13, 12, 11, 11, 11, 12, 14, 17, 19, 22, 24, 25, 27, 28, 30, 31, 32, 33, 33, 33, 33, 32, 32, 31, 30, 28, 25, 23, 21, 19, 18, 18, 17, 17, 17, 17, 18, 19, 20, 21, 23, 25, 27, 30, 32, 35, 36, 36, 35, 33, 31, 28, 26, 24, 23, 22, 22, 21, 20, 19, 18, 17, 16, 15, 13, 12, 12, 12, 12, 12, 13, 12, 12, 12, 12, 12, 12, 13, 13, 13, 12, 10, 8, 7, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 7, 8, 9, 11, 13, 15, 17, 19, 21, 23, 24, 25, 25, 24, 24, 23, 23, 23, 24, 24, 23, 21, 19, 16, 15, 15, 16, 17, 19, 20, 21, 22, 23, 24, 26, 26, 25, 22, 19, 16, 13, 11, 11, 12, 13, 13, 13, 12, 11, 10, 9, 8, 8, 8, 8, 9, 9, 9, 9, 9, 8, 8, 8, 9, 10, 12, 14, 16, 17, 18, 19, 21, 23, 26, 30, 33, 35, 37, 38, 39, 39, 39, 39, 39, 38, 37, 36, 35, 33, 31, 29, 27, 25, 23, 22, 20, 19, 18, 17, 16, 15, 14, 13, 13, 12, 11, 10, 9, 8, 7, 7, 7, 7, 7, 6, 5, 5, 5, 6, 7, 7, 8, 7, 7, 6, 5, 5, 5, 5, 6, 7, 9, 10, 12, 13, 14, 15, 16, 17, 18, 20, 22, 24, 25, 26, 26, 26, 26, 26, 27, 29, 31, 33, 33, 33, 33, 32, 32, 32, 33, 34, 34, 33, 31, 28, 25, 22, 20, 19, 19, 18, 17, 15, 13, 11, 10, 9, 9, 9, 9, 9, 9, 7, 5, 4, 3, 3, 4, 6, 7, 9, 10, 11, 11, 12, 12, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 12, 10, 8, 6, 5, 5, 6, 7, 7, 7, 6, 5, 4, 3, 2, 2, 2, 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, 1, 2, 3, 4, 5, 6, 6, 7, 7, 8, 8, 8, 8, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 5, 6, 8, 11, 15, 17, 20, 22, 23, 25, 27, 30, 31, 32, 32, 30, 28, 25, 23, 22, 21, 21, 20, 19, 17, 15, 13, 11, 9, 8, 7, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 9, 9, 8, 8, 8, 7, 7, 6, 6, 5, 4, 4, 4, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 5, 7, 9, 11, 12, 13, 13, 14, 15, 18, 20, 22, 23, 23, 22, 21, 20, 20, 20, 20, 19, 17, 15, 12, 10, 9, 9, 9, 9, 8, 7, 6, 5, 6, 6, 7, 8, 8, 7, 6, 5, 5, 6, 10, 14, 18, 21, 23, 23, 23, 23, 24, 25, 27, 28, 28, 26, 24, 21, 19, 17, 16, 16, 16, 17, 18, 17, 16, 15, 13, 12, 12, 13, 13, 14, 14, 12, 10, 8, 6, 6, 6, 7, 7, 7, 6, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 7, 6, 5, 4, 5, 5, 6, 8, 9, 11, 13, 16, 18, 20, 21, 21, 20, 18, 16, 14, 13, 13, 14, 15, 16, 15, 14, 12, 9, 7, 6, 6, 6, 6, 6, 5, 4, 2, 2, 2, 2, 3, 4, 4, 5, 5, 6, 6, 8, 10, 12, 14, 16, 18, 20, 21, 22, 23, 23, 22, 22, 21, 20, 20, 19, 19, 18, 17, 16, 15, 13, 12, 10, 9, 8, 7, 7, 6, 6, 5, 6, 6, 7, 8, 9, 10, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 13, 14, 15, 15, 14, 13, 12, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 6, 5, 4, 3, 1, 0, 0, 1, 2, 4, 6, 8, 7, 6, 3, 1, 0, 1, 2, 4, 5, 6, 5, 5, 5, 6, 8, 10, 11, 12, 12, 11, 10, 9, 9, 10, 11, 13, 14, 14, 14, 13, 11, 10, 8, 8, 8, 9, 10, 12, 13, 13, 13, 13, 12, 13, 14, 15, 16, 17, 17, 17, 17, 16, 15, 13, 12, 11, 10, 10, 11, 12, 13, 13, 14, 13, 13, 13, 14, 15, 16, 18, 19, 21, 22, 22, 21, 20, 18, 16, 14, 13, 13, 13, 14, 13, 12, 10, 8, 7, 6, 6, 7, 8, 8, 8, 8, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 6, 7, 7, 7, 6, 5, 3, 2, 1, 1, 1, 2, 3, 5, 6, 7, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 2, 1, 1, 1, 2, 3, 5, 7, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 13, 14, 16, 18, 19, 20, 20, 20, 21, 21, 22, 23, 24, 24, 23, 22, 20, 19, 18, 17, 17, 17, 16, 15, 14, 12, 11, 10, 10, 10, 9, 9, 8, 7, 6, 5, 5, 5, 7, 10, 12, 13, 14, 14, 14, 14, 15, 17, 18, 19, 19, 18, 16, 14, 12, 11, 10, 10, 10, 9, 9, 8, 7, 6, 6, 6, 7, 7, 7, 7, 6, 5, 4, 3, 3, 3, 4, 5, 6, 6, 6, 5, 4, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 5, 5, 5, 5, 4, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 13, 13, 12, 11, 11, 10, 9, 8, 8, 7, 6, 5, 4, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1, 2, 2, 3, 4, 5, 7, 8, 10, 11, 12, 12, 12, 12, 11, 11, 10, 10, 9, 9, 9, 10, 12, 12, 13, 12, 11, 10, 9, 9, 10, 11, 12, 14, 14, 15, 14, 14, 15, 16, 17, 18, 19, 20, 20, 20, 21, 22, 24, 26, 27, 28, 28, 26, 25, 23, 22, 22, 23, 25, 27, 29, 30, 30, 29, 27, 25, 22, 21, 19, 19, 19, 19, 19, 19, 18, 16, 14, 13, 12, 13, 14, 16, 18, 19, 21, 21, 22, 22, 23, 23, 24, 24, 24, 25, 25, 26, 27, 27, 27, 27, 26, 24, 22, 21, 20, 20, 20, 19, 18, 16, 15, 13, 12, 12, 12, 12, 12, 11, 10, 10, 9, 9, 9, 9, 8, 7, 6, 5, 4, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 1, 2, 3, 4, 3, 3, 2, 1, 0, 0, 0, 0, 2, 3, 4, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 6, 4, 3, 2, 2, 3, 4, 5, 6, 7, 7, 6, 6, 6, 7, 7, 8, 8, 8, 7, 7, 7, 7, 8, 8, 9, 8, 8, 6, 5, 5, 5, 5, 5, 6, 5, 5, 4, 3, 2, 1, 1, 1, 1, 1, 1, 0, 0, 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, 1, 2, 4, 6, 7, 8, 8, 8, 6, 4, 2, 1, 1, 2, 3, 4, 5, 5, 5, 3, 2, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 6, 8, 9, 12, 14, 16, 18, 19, 19, 18, 17, 16, 15, 15, 15, 15, 15, 14, 13, 12, 10, 9, 7, 5, 4, 3, 3, 3, 4, 4, 4, 3, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 3, 5, 7, 9, 11, 12, 13, 12, 11, 9, 7, 6, 7, 8, 9, 11, 11, 10, 9, 8, 7, 6, 7, 7, 8, 8, 8, 8, 9, 10, 13, 15, 18, 19, 20, 20, 20, 20, 20, 20, 21, 23, 24, 25, 26, 27, 28, 28, 28, 27, 25, 24, 23, 23, 25, 27, 30, 33, 33, 33, 31, 30, 29, 29, 30, 31, 32, 33, 34, 34, 35, 35, 35, 35, 34, 33, 32, 32, 32, 33, 33, 33, 33, 33, 33, 33, 33, 34, 34, 34, 33, 33, 32, 30, 29, 28, 27, 27, 28, 28, 29, 29, 28, 26, 24, 21, 19, 18, 17, 17, 16, 15, 14, 12, 11, 11, 12, 15, 18, 20, 22, 22, 23, 23, 24, 27, 29, 32, 33, 34, 33, 31, 31, 31, 32, 34, 36, 37, 37, 36, 35, 34, 32, 30, 29, 28, 28, 27, 27, 27, 27, 26, 24, 22, 20, 17, 16, 16, 18, 21, 24, 27, 28, 28, 26, 23, 20, 19, 19, 21, 24, 26, 28, 29, 30, 30, 31, 32, 33, 34, 35, 35, 34, 32, 30, 28, 26, 25, 24, 23, 23, 22, 22, 22, 22, 22, 23, 23, 23, 23, 22, 20, 18, 16, 14, 13, 13, 13, 14, 15, 15, 15, 16, 17, 19, 21, 24, 25, 25, 25, 24, 24, 24, 24, 23, 22, 21, 19, 17, 16, 15, 16, 17, 18, 18, 17, 16, 13, 11, 8, 7, 6, 6, 6, 7, 6, 6, 5, 4, 3, 4, 4, 5, 5, 5, 4, 3, 2, 2, 3, 4, 5, 6, 5, 5, 5, 5, 7, 9, 11, 13, 14, 15, 15, 15, 15, 16, 17, 18, 19, 21, 21, 22, 22, 21, 19, 18, 16, 14, 12, 11, 9, 8, 6, 6, 5, 6, 6, 7, 7, 6, 5, 3, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 4, 5, 6, 7, 8, 9, 11, 13, 15, 17, 19, 19, 20, 20, 20, 20, 21, 22, 22, 23, 24, 24, 24, 23, 22, 20, 19, 17, 16, 15, 15, 14, 12, 10, 8, 6, 5, 5, 5, 5, 5, 5, 3, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 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, 1, 2, 4, 5, 6, 7, 8, 9, 11, 11, 12, 12, 12, 11, 11, 11, 11, 12, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 13, 13, 12, 11, 11, 10, 11, 13, 15, 18, 21, 22, 23, 22, 21, 19, 18, 17, 17, 18, 19, 20, 20, 19, 18, 17, 16, 15, 15, 15, 15, 15, 14, 13, 12, 11, 11, 10, 10, 11, 11, 10, 10, 10, 10, 11, 12, 13, 14, 15, 15, 15, 15, 15, 15, 16, 17, 19, 20, 22, 22, 21, 20, 19, 19, 19, 20, 21, 22, 22, 22, 22, 21, 21, 21, 21, 22, 23, 24, 25, 25, 24, 23, 21, 19, 18, 19, 20, 22, 24, 25, 25, 23, 21, 20, 19, 20, 21, 21, 21, 20, 18, 16, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 16, 17, 18, 19, 19, 20, 21, 22, 24, 24, 24, 24, 24, 23, 23, 23, 24, 25, 25, 26, 27, 27, 27, 27, 26, 25, 25, 25, 27, 29, 31, 33, 33, 32, 29, 27, 24, 23, 22, 22, 22, 21, 20, 20, 19, 19, 19, 19, 19, 18, 16, 14, 12, 11, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 13, 13, 13, 12, 11, 10, 10, 10, 11, 13, 14, 14, 13, 12, 9, 7, 6, 6, 6, 8, 9, 9, 9, 7, 5, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 3, 3, 3, 3, 3, 3, 4, 6, 7, 7, 7, 6, 4, 3, 3, 3, 5, 6, 8, 9, 9, 8, 7, 6, 6, 6, 7, 9, 10, 11, 11, 10, 8, 6, 5, 5, 5, 5, 6, 6, 6, 5, 4, 2, 2, 2, 3, 4, 6, 9, 10, 11, 11, 10, 8, 6, 4, 2, 2, 2, 2, 4, 6, 8, 9, 10, 11, 11, 11, 11, 12, 14, 14, 15, 15, 15, 15, 14, 14, 14, 13, 11, 10, 8, 8, 8, 9, 10, 11, 11, 11, 10, 8, 6, 4, 3, 3, 3, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 4, 3, 3, 3, 4, 5, 5, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 9, 9, 8, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 1, 2, 4, 5, 6, 7, 7, 6, 5, 4, 3, 3, 4, 6, 9, 11, 13, 14, 12, 10, 8, 7, 6, 7, 9, 11, 13, 15, 16, 17, 18, 19, 20, 19, 19, 18, 17, 16, 17, 17, 18, 18, 18, 16, 15, 14, 14, 15, 16, 17, 18, 18, 17, 16, 16, 17, 17, 17, 17, 16, 14, 12, 10, 9, 8, 8, 8, 8, 7, 6, 5, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 1, 3, 4, 5, 5, 4, 2, 1, 0, 0, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 8, 10, 10, 9, 6, 4, 2, 1, 1, 2, 4, 5, 7, 8, 9, 10, 11, 12, 12, 11, 11, 10, 10, 10, 11, 12, 13, 13, 13, 12, 12, 11, 11, 12, 13, 14, 14, 14, 13, 11, 9, 8, 7, 7, 7, 8, 8, 9, 9, 8, 8, 7, 6, 5, 4, 3, 2, 2, 3, 4, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 3, 4, 4, 4, 4, 3, 2, 2, 3, 4, 5, 5, 5, 5, 4, 3, 3, 3, 4, 6, 8, 8, 8, 8, 6, 4, 3, 2, 2, 3, 4, 5, 5, 4, 4, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 4, 5, 6, 7, 8, 9, 9, 9, 8, 8, 8, 8, 9, 11, 12, 14, 15, 16, 16, 15, 15, 15, 16, 16, 16, 16, 15, 14, 13, 11, 10, 9, 9, 8, 8, 7, 6, 5, 4, 3, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 1, 3, 4, 6, 6, 6, 6, 5, 4, 4, 4, 5, 7, 9, 10, 11, 11, 10, 9, 9, 10, 11, 12, 14, 15, 15, 15, 15, 14, 13, 12, 11, 10, 9, 9, 10, 11, 12, 13, 14, 13, 11, 10, 8, 6, 6, 6, 7, 9, 11, 13, 14, 14, 13, 13, 12, 13, 14, 16, 18, 19, 19, 20, 20, 21, 21, 22, 22, 22, 22, 22, 22, 22, 22, 23, 24, 24, 23, 23, 22, 21, 21, 21, 22, 23, 23, 22, 21, 19, 17, 16, 17, 18, 21, 23, 25, 25, 23, 21, 19, 18, 18, 19, 21, 23, 24, 23, 22, 21, 20, 19, 18, 18, 17, 16, 15, 15, 16, 18, 20, 21, 21, 19, 16, 12, 10, 9, 10, 12, 14, 14, 13, 10, 6, 2, 0, 0, 0, 2, 4, 6, 7, 8, 8, 8, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 3, 2, 2, 1, 0, 0, 1, 3, 5, 7, 8, 9, 9, 9, 9, 9, 9, 10, 11, 12, 13, 15, 17, 19, 20, 21, 21, 20, 18, 17, 17, 18, 19, 21, 21, 21, 19, 16, 14, 13, 13, 14, 17, 21, 25, 27, 29, 29, 29, 28, 27, 27, 27, 28, 29, 29, 29, 29, 28, 27, 27, 29, 31, 35, 38, 40, 40, 38, 34, 31, 28, 26, 26, 27, 26, 25, 23, 21, 20, 20, 22, 23, 25, 25, 24, 22, 20, 18, 16, 15, 14, 13, 12, 11, 9, 8, 7, 5, 4, 4, 4, 4, 5, 6, 6, 6, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 4, 4, 3, 3, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 3, 3, 2, 1, 1, 0, 1, 2, 4, 4, 4, 3, 1, 0, 0, 0, 2, 3, 4, 5, 4, 3, 2, 1, 1, 2, 3, 6, 8, 10, 11, 11, 10, 9, 7, 6, 6, 6, 6, 7, 9, 11, 12, 14, 15, 16, 16, 16, 16, 15, 14, 14, 13, 13, 13, 13, 13, 13, 12, 11, 9, 8, 7, 7, 7, 8, 8, 9, 8, 8, 6, 5, 4, 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, 1, 2, 3, 3, 3, 2, 1, 0, 0, 1, 3, 3, 4, 3, 2, 2, 2, 3, 5, 6, 8, 8, 8, 7, 5, 4, 3, 3, 3, 4, 4, 4, 5, 6, 7, 9, 11, 14, 15, 16, 14, 12, 10, 8, 7, 7, 8, 10, 10, 10, 10, 9, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 8, 8, 7, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 4, 3, 1, 1, 1, 2, 3, 4, 5, 4, 4, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 5, 5, 5, 5, 5, 4, 4, 3, 3, 2, 2, 4, 5, 8, 11, 13, 15, 17, 19, 20, 21, 22, 23, 24, 25, 26, 27, 29, 30, 32, 33, 34, 35, 37, 38, 39, 40, 40, 39, 39, 39, 39, 40, 41, 41, 40, 38, 35, 32, 29, 27, 26, 27, 28, 29, 30, 30, 29, 28, 27, 25, 23, 21, 20, 19, 19, 19, 19, 19, 19, 19, 18, 18, 17, 16, 16, 16, 16, 17, 17, 17, 17, 17, 16, 16, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 17, 18, 19, 20, 21, 22, 22, 22, 22, 22, 23, 24, 26, 28, 29, 30, 29, 28, 26, 25, 26, 28, 30, 32, 33, 33, 31, 29, 27, 26, 26, 27, 29, 31, 32, 32, 31, 30, 29, 29, 31, 33, 37, 39, 41, 42, 41, 41, 40, 39, 38, 36, 34, 32, 30, 29, 30, 31, 32, 32, 31, 30, 28, 26, 25, 24, 23, 21, 20, 18, 18, 19, 20, 22, 22, 22, 19, 15, 11, 7, 4, 3, 4, 7, 9, 12, 13, 12, 11, 8, 6, 4, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 4, 5, 5, 5, 5, 5, 5, 6, 7, 8, 8, 8, 7, 5, 3, 2, 1, 0, 0, 0, 1, 1, 2, 4, 5, 8, 10, 12, 13, 13, 12, 11, 9, 8, 7, 7, 7, 9, 10, 11, 12, 12, 11, 11, 11, 11, 11, 11, 11, 12, 13, 14, 16, 17, 17, 17, 17, 18, 21, 25, 29, 34, 36, 37, 35, 33, 30, 29, 30, 33, 37, 41, 45, 48, 49, 50, 51, 53, 54, 57, 60, 63, 65, 66, 67, 66, 64, 63, 62, 63, 65, 68, 72, 75, 77, 77, 75, 72, 69, 67, 67, 68, 71, 72, 72, 69, 66, 61, 58, 57, 57, 58, 59, 60, 59, 57, 53, 50, 47, 45, 43, 42, 41, 39, 37, 33, 30, 26, 24, 22, 21, 20, 20, 19, 18, 16, 14, 13, 12, 13, 14, 15, 16, 16, 15, 13, 11, 10, 10, 9, 10, 10, 10, 11, 11, 12, 13, 13, 13, 13, 12, 11, 10, 9, 9, 10, 11, 12, 13, 14, 14, 13, 13, 11, 10, 8, 7, 7, 7, 7, 8, 9, 10, 11, 12, 12, 12, 12, 11, 10, 9, 7, 6, 5, 5, 6, 8, 9, 10, 11, 10, 8, 7, 5, 4, 4, 5, 7, 8, 10, 11, 11, 9, 8, 6, 5, 4, 4, 5, 7, 8, 9, 10, 11, 11, 12, 12, 11, 10, 9, 9, 8, 7, 7, 7, 6, 6, 7, 7, 8, 10, 11, 13, 13, 13, 13, 13, 12, 11, 10, 9, 8, 8, 8, 9, 10, 12, 13, 13, 11, 8, 5, 2, 0, 0, 1, 4, 8, 11, 13, 14, 13, 11, 9, 7, 5, 5, 5, 6, 7, 9, 10, 10, 9, 8, 6, 5, 4, 4, 5, 6, 7, 8, 8, 7, 6, 5, 4, 4, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 4, 5, 6, 7, 8, 8, 8, 8, 8, 7, 7, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 7, 9, 10, 11, 12, 12, 11, 10, 9, 9, 9, 9, 10, 10, 10, 10, 9, 8, 7, 7, 7, 7, 7, 8, 8, 7, 7, 6, 5, 4, 3, 3, 3, 3, 3, 3, 3, 2, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 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, 1, 2, 2, 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, 0, 0, 0, 0, 0, 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, 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, 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, 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, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 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, 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, 2, 2, 2, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 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, 2, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 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, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 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, 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, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 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, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 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, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 3, 3, 2, 2, 2, 1, 1, 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, 1, 1, 1, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 3, 3, 2, 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],
"peakC": [821, 827, 840, 861, 893, 933, 970, 998, 1018, 1040, 1071, 1113, 1164, 1216, 1266, 1311, 1355, 1400, 1447, 1499, 1555, 1613, 1670, 1726, 1782, 1840, 1900, 1963, 2026, 2086, 2140, 2189, 2236, 2284, 2337, 2397, 2464, 2533, 2602, 2668, 2732, 2795, 2859, 2925, 2991, 3053, 3106, 3145, 3169, 3177, 3171, 3153, 3125, 3085, 3033, 2967, 2889, 2800, 2702, 2598, 2491, 2382, 2271, 2157, 2042, 1924, 1806, 1688, 1571, 1453, 1337, 1221, 1109, 1002, 901, 808, 721, 640, 565, 495, 431, 374, 325, 284, 250, 222, 200, 181, 166, 154, 145, 138, 132, 127, 122, 117, 111, 107, 103, 101, 101, 102, 104, 106, 108, 111, 116, 122, 132, 144, 159, 177, 196, 217, 241, 268, 299, 335, 375, 417, 459, 498, 534, 565, 592, 615, 636, 654, 669, 680, 686, 684, 677, 665, 650, 634, 618, 600, 580, 556, 528, 496, 462, 426, 390, 354, 318, 283, 247, 213, 182, 154, 130, 112, 99, 91, 89, 91, 100, 114, 133, 158, 187, 219, 254, 288, 321, 350, 373, 389, 395, 393, 382, 363, 336, 304, 268, 230, 194, 159, 129, 103, 82, 65, 53, 44, 38, 36, 36, 38, 41, 44, 48, 53, 61, 73, 90, 113, 143, 179, 221, 266, 313, 358, 397, 429, 449, 458, 453, 436, 408, 370, 326, 279, 232, 188, 148, 113, 85, 63, 47, 36, 28, 24, 22, 23, 26, 32, 41, 57, 78, 108, 146, 193, 249, 312, 377, 439, 493, 535, 558, 563, 549, 517, 471, 414, 352, 290, 235, 193, 167, 162, 176, 208, 252, 304, 356, 404, 442, 467, 476, 468, 442, 402, 351, 293, 232, 175, 124, 82, 50, 28, 14, 7, 4, 4, 5, 7, 8, 9, 9, 9, 8, 9, 9, 11, 13, 15, 17, 18, 19, 20, 21, 21, 21, 20, 19, 17, 15, 13, 12, 12, 13, 15, 17, 18, 19, 18, 17, 16, 14, 12, 10, 9, 8, 8, 8, 9, 9, 9, 9, 7, 5, 3, 2, 2, 3, 7, 12, 21, 32, 49, 73, 105, 148, 201, 262, 326, 385, 432, 460, 464, 443, 400, 341, 274, 205, 142, 90, 50, 23, 8, 1, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 8, 10, 11, 11, 11, 10, 9, 7, 6, 5, 4, 4, 4, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 6, 9, 10, 11, 10, 8, 5, 3, 2, 1, 3, 6, 13, 27, 52, 91, 146, 218, 300, 385, 462, 519, 548, 544, 508, 446, 367, 281, 199, 128, 73, 34, 12, 1, 0, 0, 3, 7, 10, 11, 12, 11, 8, 5, 3, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 22, 51, 96, 157, 231, 311, 387, 447, 482, 486, 459, 405, 332, 251, 173, 106, 56, 23, 6, 0, 0, 0, 0, 0, 0, 1, 4, 7, 10, 13, 13, 13, 12, 11, 11, 12, 13, 14, 15, 16, 16, 15, 14, 12, 10, 8, 10, 21, 45, 86, 147, 222, 306, 386, 450, 487, 490, 459, 398, 319, 232, 151, 85, 39, 12, 0, 0, 0, 1, 1, 0, 0, 0, 0, 3, 5, 6, 7, 6, 5, 3, 2, 0, 0, 0, 0, 3, 6, 11, 16, 19, 21, 21, 19, 17, 16, 17, 19, 23, 28, 33, 37, 41, 42, 40, 37, 32, 27, 24, 22, 23, 26, 30, 34, 35, 35, 31, 26, 20, 13, 7, 2, 0, 0, 1, 5, 10, 15, 18, 20, 22, 30, 51, 91, 156, 243, 347, 452, 541, 596, 607, 572, 505, 428, 369, 353, 393, 486, 613, 744, 847, 895, 874, 786, 647, 484, 322, 186, 88, 29, 3, 0, 0, 2, 2, 0, 0, 0, 2, 6, 10, 11, 9, 7, 4, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 9, 13, 15, 16, 15, 13, 11, 8, 7, 8, 9, 11, 14, 15, 15, 14, 12, 9, 6, 3, 1, 0, 0, 0, 2, 4, 7, 9, 11, 11, 10, 9, 7, 5, 5, 6, 8, 10, 10, 6, 0, 0, 3, 30, 84, 168, 276, 393, 499, 573, 599, 570, 493, 384, 265, 157, 74, 24, 1, 0, 0, 3, 4, 2, 0, 0, 0, 1, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 9, 14, 19, 23, 25, 25, 23, 19, 15, 11, 8, 5, 4, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 14, 14, 13, 11, 8, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 7, 10, 13, 14, 15, 14, 12, 10, 8, 7, 6, 6, 6, 6, 6, 6, 5, 4, 4, 3, 2, 1, 0, 0, 0, 1, 3, 7, 11, 14, 16, 15, 13, 10, 8, 8, 11, 16, 23, 28, 33, 34, 32, 27, 21, 15, 11, 10, 14, 22, 31, 42, 49, 53, 51, 44, 34, 23, 15, 10, 11, 17, 25, 35, 43, 47, 47, 42, 35, 27, 20, 18, 20, 29, 42, 57, 68, 70, 60, 40, 18, 10, 35, 111, 245, 431, 643, 845, 995, 1056, 1013, 873, 665, 439, 247, 132, 116, 197, 349, 529, 692, 797, 822, 765, 642, 482, 316, 174, 73, 17, 0, 7, 22, 31, 30, 20, 15, 31, 82, 175, 307, 459, 604, 711, 755, 723, 620, 468, 305, 169, 96, 107, 204, 368, 564, 746, 873, 916, 863, 728, 542, 349, 194, 112, 118, 206, 351, 514, 653, 732, 735, 662, 534, 380, 234, 117, 42, 6, 0, 0, 5, 9, 10, 13, 17, 23, 29, 31, 30, 25, 20, 15, 14, 15, 17, 21, 23, 23, 21, 18, 16, 14, 14, 17, 22, 28, 35, 40, 42, 42, 39, 35, 32, 32, 35, 41, 49, 56, 61, 62, 59, 53, 42, 27, 10, 0, 0, 24, 86, 189, 325, 475, 610, 702, 728, 682, 574, 429, 278, 149, 60, 14, 1, 5, 9, 6, 0, 2, 36, 116, 245, 410, 580, 717, 784, 762, 653, 486, 310, 183, 151, 236, 429, 686, 946, 1141, 1223, 1172, 1004, 762, 501, 274, 111, 21, 0, 0, 22, 42, 54, 56, 52, 45, 37, 29, 25, 24, 29, 39, 51, 62, 68, 69, 64, 54, 41, 29, 20, 16, 16, 22, 31, 42, 51, 55, 51, 38, 18, 0, 0, 26, 97, 212, 357, 508, 631, 694, 678, 584, 434, 269, 136, 79, 120, 258, 463, 685, 866, 959, 940, 815, 620, 409, 239, 154, 169, 273, 428, 583, 692, 723, 669, 549, 393, 239, 116, 37, 2, 0, 1, 8, 9, 5, 0, 0, 0, 2, 5, 7, 8, 8, 8, 9, 10, 10, 9, 8, 7, 8, 10, 12, 15, 16, 14, 12, 8, 4, 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, 5, 5, 4, 3, 2, 2, 1, 1, 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, 4, 2, 2, 2, 3, 4, 5, 5, 5, 4, 3, 2, 1, 1, 1, 1, 2, 3, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 2, 3, 4, 5, 5, 4, 2, 1, 0, 0, 0, 1, 3, 4, 6, 6, 5, 4, 2, 0, 0, 0, 0, 1, 3, 3, 4, 3, 2, 1, 0, 0, 1, 3, 7, 11, 14, 16, 17, 15, 12, 9, 5, 1, 0, 0, 1, 5, 11, 16, 20, 22, 20, 14, 7, 2, 0, 3, 12, 26, 41, 55, 63, 63, 57, 44, 29, 17, 10, 10, 19, 34, 52, 67, 77, 79, 73, 62, 49, 38, 32, 32, 36, 44, 52, 60, 66, 69, 65, 51, 26, 0, 0, 15, 109, 278, 509, 762, 981, 1111, 1116, 997, 785, 535, 302, 126, 24, 0, 0, 16, 35, 38, 24, 2, 0, 0, 53, 170, 343, 545, 734, 865, 900, 832, 677, 478, 283, 129, 35, 0, 0, 4, 12, 11, 5, 0, 0, 0, 7, 15, 20, 22, 22, 21, 21, 22, 23, 24, 23, 22, 21, 19, 18, 16, 14, 13, 11, 9, 9, 9, 9, 9, 10, 11, 12, 15, 18, 21, 24, 24, 22, 19, 17, 17, 19, 22, 22, 16, 6, 0, 0, 27, 89, 185, 303, 420, 511, 552, 535, 462, 354, 235, 130, 55, 15, 3, 9, 19, 24, 23, 16, 7, 0, 0, 0, 5, 11, 17, 23, 29, 33, 36, 37, 35, 30, 24, 17, 14, 15, 23, 36, 51, 60, 57, 41, 16, 0, 0, 44, 146, 300, 480, 648, 763, 794, 732, 595, 420, 247, 111, 28, 0, 0, 8, 24, 34, 37, 36, 33, 28, 22, 15, 8, 3, 3, 8, 18, 32, 47, 57, 56, 42, 18, 0, 0, 36, 137, 296, 492, 682, 820, 865, 799, 638, 421, 207, 56, 9, 80, 250, 474, 693, 848, 902, 844, 696, 500, 302, 143, 41, 0, 0, 12, 35, 51, 59, 55, 41, 18, 0, 0, 23, 116, 274, 480, 695, 871, 960, 941, 817, 623, 406, 214, 79, 9, 0, 10, 35, 51, 52, 40, 22, 6, 0, 3, 16, 34, 53, 68, 76, 76, 68, 53, 36, 21, 9, 4, 7, 17, 31, 48, 62, 69, 63, 44, 17, 0, 0, 47, 154, 318, 514, 703, 837, 877, 807, 641, 424, 215, 76, 47, 141, 332, 570, 788, 926, 946, 845, 649, 414, 201, 67, 43, 131, 301, 504, 680, 782, 786, 694, 536, 355, 193, 76, 13, 0, 0, 9, 14, 12, 5, 0, 0, 2, 6, 8, 8, 5, 2, 0, 1, 6, 14, 24, 30, 28, 17, 0, 0, 5, 62, 168, 316, 477, 615, 692, 687, 601, 459, 297, 154, 53, 2, 0, 0, 15, 23, 23, 18, 12, 10, 11, 14, 18, 20, 19, 16, 12, 8, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 8, 9, 8, 6, 4, 2, 0, 0, 2, 4, 8, 11, 14, 15, 14, 12, 8, 4, 1, 0, 0, 2, 8, 16, 26, 36, 43, 46, 45, 40, 33, 26, 22, 23, 30, 40, 52, 62, 67, 67, 62, 53, 44, 38, 36, 38, 44, 51, 57, 59, 56, 49, 39, 29, 22, 20, 23, 32, 43, 55, 65, 72, 73, 64, 43, 14, 0, 0, 47, 171, 364, 595, 813, 963, 1001, 917, 733, 502, 280, 111, 14, 0, 0, 19, 39, 43, 29, 5, 0, 0, 48, 158, 322, 518, 703, 833, 869, 797, 632, 413, 196, 35, 0, 34, 207, 454, 716, 927, 1033, 1007, 862, 640, 400, 197, 62, 0, 0, 3, 18, 23, 17, 6, 0, 0, 1, 6, 9, 10, 10, 8, 7, 7, 7, 8, 9, 12, 16, 19, 21, 21, 19, 14, 9, 5, 3, 5, 11, 18, 27, 35, 39, 40, 36, 30, 24, 18, 15, 15, 18, 21, 24, 25, 24, 21, 16, 11, 8, 6, 6, 10, 14, 19, 22, 22, 18, 12, 6, 1, 0, 2, 11, 23, 37, 50, 59, 62, 57, 47, 32, 19, 10, 11, 21, 41, 67, 92, 108, 109, 91, 57, 17, 0, 0, 58, 174, 333, 503, 643, 717, 703, 606, 453, 284, 138, 39, 0, 0, 25, 62, 93, 108, 104, 82, 47, 9, 0, 6, 83, 225, 417, 622, 787, 865, 825, 671, 442, 204, 32, 0, 102, 357, 697, 1037, 1286, 1376, 1280, 1025, 680, 339, 91, 0, 65, 268, 535, 783, 939, 957, 835, 610, 349, 131, 22, 58, 233, 503, 795, 1029, 1140, 1097, 911, 634, 341, 112, 8, 55, 235, 492, 750, 937, 1001, 932, 756, 526, 302, 130, 29, 0, 0, 11, 21, 20, 11, 1, 0, 0, 3, 8, 12, 14, 15, 16, 20, 25, 28, 27, 19, 4, 0, 0, 32, 110, 228, 364, 485, 559, 563, 496, 377, 242, 122, 39, 0, 0, 0, 11, 15, 12, 5, 0, 0, 0, 0, 3, 4, 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, 5, 6, 7, 7, 5, 3, 0, 0, 0, 3, 10, 19, 28, 34, 36, 33, 25, 15, 5, 0, 0, 7, 19, 33, 45, 53, 54, 49, 39, 27, 15, 6, 1, 0, 0, 5, 12, 21, 28, 27, 17, 0, 0, 1, 56, 162, 308, 465, 594, 657, 636, 538, 391, 236, 108, 27, 0, 0, 5, 17, 25, 27, 29, 31, 34, 35, 31, 25, 17, 12, 12, 18, 27, 37, 45, 46, 42, 32, 19, 7, 0, 0, 6, 17, 31, 44, 52, 53, 48, 38, 27, 17, 11, 12, 17, 26, 38, 50, 58, 61, 54, 37, 13, 0, 0, 39, 134, 276, 439, 584, 670, 667, 572, 408, 220, 61, 0, 9, 149, 370, 620, 833, 949, 935, 792, 559, 301, 92, 0, 27, 187, 424, 669, 853, 926, 873, 717, 506, 296, 131, 31, 0, 0, 11, 25, 29, 25, 18, 12, 11, 11, 12, 12, 11, 12, 17, 25, 36, 43, 40, 25, 2, 0, 0, 67, 198, 380, 578, 744, 831, 814, 699, 518, 322, 156, 46, 0, 0, 4, 20, 28, 27, 22, 18, 16, 15, 13, 9, 5, 2, 0, 0, 3, 6, 8, 9, 9, 8, 7, 6, 6, 5, 4, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 4, 5, 6, 5, 5, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 8, 11, 13, 12, 10, 6, 2, 1, 1, 4, 8, 12, 15, 15, 12, 8, 4, 0, 0, 0, 4, 9, 14, 17, 18, 17, 13, 9, 5, 2, 3, 7, 15, 24, 34, 41, 45, 45, 40, 32, 24, 17, 13, 12, 13, 18, 25, 33, 40, 42, 34, 17, 0, 0, 11, 82, 203, 359, 515, 632, 673, 628, 510, 353, 200, 82, 14, 0, 0, 7, 14, 12, 6, 0, 0, 0, 0, 2, 5, 9, 13, 17, 21, 22, 20, 15, 9, 4, 0, 0, 0, 3, 8, 13, 16, 18, 17, 14, 9, 5, 1, 0, 0, 0, 5, 12, 19, 26, 31, 32, 30, 26, 21, 17, 14, 13, 13, 16, 20, 26, 30, 28, 16, 0, 0, 1, 56, 160, 302, 453, 573, 628, 600, 499, 355, 207, 88, 16, 0, 0, 13, 30, 37, 37, 31, 23, 16, 11, 8, 9, 14, 24, 36, 48, 57, 60, 56, 46, 33, 20, 12, 10, 16, 28, 43, 56, 64, 64, 57, 44, 29, 16, 8, 8, 16, 29, 44, 57, 64, 64, 56, 43, 29, 18, 12, 14, 23, 36, 50, 64, 76, 81, 76, 57, 27, 0, 0, 28, 142, 330, 568, 805, 978, 1034, 951, 746, 476, 215, 38, 0, 88, 295, 554, 789, 934, 946, 823, 599, 338, 115, 0, 14, 166, 406, 665, 866, 956, 913, 759, 542, 321, 144, 34, 0, 0, 7, 29, 42, 39, 21, 0, 0, 0, 87, 256, 490, 747, 959, 1066, 1036, 876, 636, 382, 173, 42, 0, 0, 6, 21, 21, 11, 0, 0, 0, 0, 3, 6, 6, 5, 5, 6, 7, 8, 9, 10, 9, 8, 8, 7, 7, 8, 8, 8, 7, 6, 4, 3, 1, 0, 0, 0, 0, 2, 5, 9, 13, 16, 17, 16, 14, 9, 5, 1, 0, 0, 3, 7, 11, 16, 20, 22, 22, 20, 16, 12, 7, 4, 5, 9, 16, 26, 36, 44, 48, 48, 44, 37, 29, 21, 15, 12, 10, 10, 11, 12, 11, 9, 7, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 10, 16, 21, 26, 28, 28, 25, 21, 17, 12, 9, 6, 5, 5, 6, 6, 6, 7, 6, 6, 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5, 6, 6, 7, 8, 8, 8, 8, 6, 5, 3, 1, 0, 0, 0, 1, 6, 13, 21, 29, 33, 33, 29, 22, 15, 11, 10, 13, 19, 25, 29, 30, 26, 19, 12, 5, 2, 2, 7, 16, 26, 36, 43, 46, 43, 36, 27, 19, 14, 14, 19, 27, 37, 48, 57, 62, 59, 45, 21, 0, 0, 15, 98, 238, 414, 586, 709, 746, 685, 546, 369, 201, 76, 8, 0, 0, 9, 16, 12, 4, 0, 0, 0, 1, 4, 5, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 5, 6, 7, 8, 11, 15, 20, 25, 28, 28, 24, 17, 8, 1, 0, 1, 9, 21, 34, 43, 47, 44, 35, 23, 11, 2, 0, 0, 5, 14, 25, 36, 42, 43, 38, 28, 16, 6, 1, 3, 14, 31, 53, 75, 94, 101, 91, 63, 23, 0, 0, 61, 209, 430, 686, 918, 1061, 1072, 944, 706, 422, 167, 4, 0, 77, 286, 543, 779, 932, 963, 869, 682, 456, 246, 93, 9, 0, 0, 19, 39, 48, 44, 28, 4, 0, 0, 44, 166, 352, 570, 770, 894, 906, 802, 613, 394, 199, 65, 0, 0, 0, 14, 19, 14, 8, 6, 12, 22, 32, 37, 36, 30, 22, 15, 12, 10, 11, 13, 13, 13, 11, 9, 6, 4, 2, 0, 0, 0, 0, 5, 13, 19, 19, 10, 0, 0, 6, 64, 167, 301, 437, 537, 571, 529, 423, 286, 155, 57, 5, 0, 0, 8, 13, 10, 3, 0, 0, 0, 1, 3, 2, 1, 0, 2, 8, 16, 24, 30, 30, 26, 18, 10, 2, 0, 0, 3, 8, 13, 16, 16, 14, 11, 7, 4, 3, 2, 2, 1, 1, 4, 9, 18, 27, 28, 19, 1, 0, 0, 60, 181, 354, 544, 704, 788, 770, 657, 480, 290, 131, 29, 0, 0, 24, 51, 64, 60, 45, 26, 9, 0, 0, 2, 12, 24, 36, 45, 49, 47, 39, 28, 16, 6, 0, 0, 6, 16, 30, 45, 55, 56, 44, 22, 0, 0, 19, 103, 241, 414, 582, 701, 736, 673, 527, 335, 147, 12, 0, 30, 193, 421, 662, 852, 942, 909, 765, 554, 333, 152, 39, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 0, 0, 9, 25, 31, 32, 30, 26, 18, 3, 0, 0, 44, 158, 334, 543, 737, 862, 880, 785, 607, 396, 204, 69, 1, 0, 0, 18, 26, 21, 10, 1, 0, 0, 2, 6, 7, 8, 10, 16, 24, 29, 25, 10, 0, 0, 27, 125, 286, 486, 679, 813, 848, 772, 610, 408, 218, 79, 5, 0, 0, 16, 26, 25, 16, 7, 3, 3, 7, 11, 14, 16, 16, 17, 18, 19, 20, 19, 17, 13, 9, 5, 2, 3, 8, 15, 23, 30, 32, 30, 24, 16, 8, 2, 0, 0, 1, 5, 9, 13, 14, 14, 13, 10, 6, 3, 2, 1, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 1, 2, 3, 4, 4, 4, 3, 2, 1, 1, 2, 2, 1, 0, 0, 0, 5, 13, 19, 19, 9, 0, 0, 10, 73, 182, 322, 461, 562, 594, 549, 439, 297, 162, 61, 6, 0, 0, 12, 21, 21, 14, 6, 0, 0, 0, 1, 5, 9, 14, 18, 20, 20, 17, 12, 7, 3, 0, 0, 0, 0, 1, 3, 6, 10, 13, 15, 14, 13, 11, 10, 9, 9, 10, 11, 15, 22, 31, 36, 30, 12, 0, 0, 28, 135, 310, 525, 731, 871, 902, 815, 636, 419, 218, 74, 1, 0, 0, 20, 30, 27, 16, 4, 0, 0, 1, 7, 13, 20, 27, 33, 37, 37, 33, 25, 14, 5, 0, 0, 5, 15, 25, 34, 38, 36, 29, 19, 9, 2, 1, 6, 16, 29, 41, 50, 53, 50, 42, 31, 20, 10, 4, 2, 3, 6, 11, 14, 16, 16, 14, 10, 7, 4, 2, 2, 4, 6, 9, 13, 21, 30, 36, 33, 18, 0, 0, 8, 90, 238, 436, 642, 801, 867, 820, 675, 475, 274, 116, 23, 0, 0, 9, 20, 20, 12, 4, 1, 2, 7, 11, 13, 15, 16, 18, 21, 24, 24, 22, 18, 12, 7, 3, 0, 0, 0, 0, 3, 8, 15, 21, 25, 25, 21, 15, 8, 3, 2, 6, 12, 22, 33, 44, 52, 53, 42, 19, 0, 0, 19, 113, 269, 465, 656, 788, 824, 751, 592, 394, 208, 72, 0, 0, 3, 31, 53, 62, 59, 50, 39, 30, 23, 19, 19, 22, 29, 40, 54, 69, 80, 82, 71, 45, 12, 0, 0, 63, 195, 379, 582, 751, 838, 816, 686, 481, 256, 71, 0, 0, 137, 359, 611, 827, 952, 954, 837, 637, 409, 208, 69, 2, 0, 9, 33, 49, 53, 49, 40, 25, 5, 0, 0, 37, 147, 321, 535, 739, 879, 914, 832, 659, 443, 241, 91, 8, 0, 0, 12, 28, 33, 24, 7, 0, 0, 16, 100, 243, 427, 613, 752, 804, 752, 612, 426, 242, 100, 18, 0, 0, 7, 15, 14, 6, 0, 0, 0, 0, 3, 7, 11, 15, 19, 21, 22, 19, 15, 9, 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, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 5, 8, 12, 14, 14, 12, 9, 6, 4, 4, 5, 6, 8, 8, 8, 7, 5, 4, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 3, 6, 10, 13, 14, 12, 10, 7, 4, 4, 4, 6, 8, 10, 11, 12, 12, 12, 11, 10, 8, 5, 2, 1, 2, 5, 10, 16, 22, 26, 28, 30, 31, 31, 32, 32, 32, 31, 30, 28, 27, 27, 28, 31, 35, 39, 41, 40, 36, 30, 24, 18, 15, 16, 19, 25, 30, 32, 32, 28, 22, 15, 8, 4, 4, 8, 15, 24, 33, 39, 40, 37, 29, 20, 11, 7, 8, 13, 21, 30, 37, 44, 48, 48, 41, 24, 2, 0, 0, 60, 182, 356, 552, 722, 820, 817, 715, 543, 349, 177, 58, 0, 0, 0, 19, 33, 35, 24, 4, 0, 0, 33, 134, 289, 478, 656, 777, 806, 734, 582, 394, 217, 85, 13, 0, 0, 9, 17, 16, 11, 8, 8, 13, 19, 23, 26, 27, 28, 30, 31, 32, 31, 28, 24, 20, 17, 15, 13, 13, 13, 13, 14, 16, 18, 22, 26, 29, 27, 19, 6, 0, 0, 23, 86, 181, 293, 398, 466, 478, 431, 338, 225, 120, 43, 2, 0, 2, 19, 33, 40, 41, 37, 33, 29, 27, 28, 32, 39, 47, 57, 67, 74, 76, 73, 64, 50, 35, 21, 13, 11, 17, 27, 41, 55, 65, 69, 61, 41, 14, 0, 0, 46, 157, 321, 510, 680, 782, 782, 674, 483, 263, 77, 0, 16, 173, 417, 686, 908, 1024, 1006, 866, 647, 409, 206, 69, 2, 0, 0, 15, 23, 25, 23, 17, 9, 0, 0, 1, 54, 159, 310, 482, 631, 718, 715, 624, 472, 301, 151, 49, 0, 0, 0, 11, 15, 12, 7, 4, 5, 8, 11, 11, 8, 4, 1, 0, 0, 0, 0, 0, 0, 1, 3, 7, 11, 13, 13, 12, 8, 5, 2, 1, 2, 4, 6, 8, 9, 8, 7, 5, 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, 1, 3, 6, 10, 13, 15, 15, 13, 10, 7, 4, 2, 0, 0, 0, 1, 5, 10, 15, 19, 20, 18, 14, 9, 3, 0, 0, 0, 4, 12, 21, 31, 37, 38, 34, 25, 13, 3, 0, 0, 7, 20, 36, 50, 58, 58, 50, 36, 21, 8, 1, 1, 8, 20, 36, 51, 64, 69, 63, 43, 13, 0, 0, 55, 190, 392, 628, 841, 972, 981, 860, 640, 379, 146, 0, 0, 79, 282, 534, 770, 930, 973, 892, 715, 490, 275, 111, 17, 0, 0, 24, 51, 67, 66, 49, 18, 0, 0, 33, 167, 387, 664, 938, 1138, 1207, 1124, 915, 638, 365, 153, 28, 0, 0, 25, 54, 71, 77, 75, 70, 63, 52, 40, 30, 26, 35, 56, 85, 115, 132, 127, 96, 48, 4, 0, 45, 176, 381, 627, 862, 1028, 1079, 997, 800, 535, 269, 66, 0, 25, 195, 444, 710, 922, 1026, 995, 840, 602, 343, 125, 0, 0, 94, 283, 510, 718, 854, 883, 793, 606, 370, 148, 5, 0, 108, 352, 661, 961, 1175, 1248, 1165, 954, 675, 397, 178, 43, 0, 0, 12, 36, 49, 48, 35, 13, 0, 0, 15, 110, 276, 492, 716, 889, 961, 911, 754, 535, 314, 139, 33, 0, 0, 7, 18, 21, 19, 19, 20, 20, 13, 0, 0, 9, 72, 188, 345, 511, 644, 708, 684, 580, 426, 264, 128, 39, 0, 0, 1, 13, 21, 23, 24, 25, 26, 25, 22, 15, 9, 5, 6, 13, 23, 34, 43, 47, 43, 31, 11, 0, 0, 25, 99, 213, 350, 482, 575, 602, 557, 451, 313, 178, 74, 13, 0, 6, 30, 52, 65, 68, 61, 44, 20, 0, 0, 16, 100, 247, 443, 652, 827, 921, 909, 794, 607, 395, 206, 73, 7, 0, 24, 59, 82, 81, 57, 20, 0, 0, 49, 173, 357, 570, 763, 886, 901, 797, 599, 356, 136, 0, 0, 108, 339, 625, 893, 1074, 1123, 1031, 830, 575, 331, 143, 33, 0, 0, 11, 28, 36, 40, 43, 42, 35, 19, 0, 0, 28, 120, 273, 467, 661, 803, 853, 789, 626, 406, 188, 30, 0, 47, 221, 458, 696, 872, 943, 891, 737, 526, 313, 143, 38, 0, 0, 5, 15, 15, 8, 0, 0, 0, 0, 2, 5, 8, 11, 15, 18, 20, 19, 15, 10, 4, 0, 0, 0, 5, 10, 16, 20, 21, 19, 15, 9, 4, 0, 0, 0, 4, 10, 16, 21, 23, 21, 17, 11, 6, 2, 0, 0, 1, 4, 9, 16, 22, 22, 14, 0, 0, 3, 62, 173, 327, 496, 637, 711, 697, 599, 445, 277, 135, 41, 0, 0, 1, 11, 13, 8, 1, 0, 0, 0, 1, 3, 3, 2, 1, 0, 0, 0, 0, 0, 2, 6, 12, 19, 24, 27, 26, 22, 16, 11, 6, 4, 4, 5, 7, 9, 10, 10, 9, 8, 7, 6, 4, 2, 1, 0, 0, 0, 3, 6, 10, 12, 12, 10, 6, 3, 0, 0, 0, 4, 10, 16, 21, 23, 21, 17, 12, 6, 2, 0, 0, 0, 0, 2, 4, 5, 6, 6, 5, 4, 2, 2, 3, 4, 6, 8, 12, 18, 26, 31, 28, 14, 0, 0, 12, 94, 239, 431, 632, 790, 860, 822, 686, 493, 295, 134, 34, 0, 0, 4, 15, 15, 8, 0, 0, 0, 0, 3, 4, 4, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 7, 12, 17, 21, 22, 21, 17, 11, 5, 0, 0, 0, 5, 13, 22, 30, 33, 32, 26, 18, 9, 2, 0, 0, 3, 10, 19, 28, 33, 35, 31, 23, 14, 6, 1, 0, 1, 6, 12, 20, 28, 34, 33, 23, 7, 0, 0, 37, 119, 241, 385, 517, 601, 610, 537, 396, 225, 71, 0, 0, 132, 360, 638, 901, 1082, 1137, 1054, 859, 607, 359, 164, 44, 0, 0, 7, 19, 20, 12, 2, 0, 0, 0, 6, 11, 14, 17, 19, 20, 20, 18, 14, 10, 5, 1, 0, 0, 2, 5, 8, 10, 10, 9, 7, 6, 4, 3, 2, 1, 2, 3, 7, 13, 18, 19, 14, 3, 0, 0, 34, 106, 215, 342, 460, 538, 555, 506, 403, 276, 155, 64, 12, 0, 0, 5, 10, 8, 4, 0, 0, 0, 0, 1, 2, 2, 2, 3, 4, 6, 8, 8, 8, 6, 4, 2, 1, 1, 3, 7, 12, 16, 18, 19, 17, 13, 8, 4, 2, 0, 0, 1, 4, 10, 16, 19, 15, 4, 0, 0, 29, 106, 226, 370, 507, 600, 623, 569, 455, 312, 175, 72, 14, 0, 0, 5, 10, 9, 3, 0, 0, 0, 1, 3, 3, 1, 0, 1, 5, 12, 19, 25, 28, 27, 22, 16, 12, 11, 15, 22, 30, 36, 37, 34, 26, 17, 8, 2, 0, 0, 1, 6, 13, 19, 24, 26, 24, 19, 12, 6, 2, 1, 3, 8, 16, 25, 32, 34, 26, 11, 0, 0, 23, 102, 233, 398, 562, 686, 734, 693, 575, 413, 248, 115, 31, 0, 0, 4, 13, 15, 11, 7, 6, 11, 19, 26, 31, 33, 33, 32, 32, 34, 36, 37, 36, 30, 22, 13, 5, 1, 2, 10, 21, 33, 42, 46, 43, 34, 23, 11, 1, 0, 0, 9, 24, 42, 59, 71, 75, 70, 58, 42, 28, 20, 21, 31, 47, 65, 79, 86, 81, 64, 36, 7, 0, 5, 66, 181, 339, 511, 657, 737, 722, 612, 432, 230, 67, 0, 46, 218, 477, 760, 995, 1120, 1100, 940, 684, 401, 167, 41, 53, 189, 403, 631, 807, 884, 848, 714, 524, 325, 159, 50, 0, 0, 9, 32, 47, 47, 30, 4, 0, 0, 58, 190, 384, 611, 823, 968, 1006, 928, 756, 536, 320, 148, 41, 0, 0, 12, 34, 50, 56, 56, 51, 43, 33, 22, 12, 7, 10, 22, 41, 63, 81, 88, 79, 54, 19, 0, 0, 61, 188, 373, 588, 784, 914, 937, 843, 651, 410, 183, 31, 0, 90, 288, 539, 777, 940, 991, 920, 754, 537, 323, 152, 44, 0, 0, 11, 31, 47, 54, 53, 44, 24, 0, 0, 9, 92, 249, 472, 724, 949, 1090, 1104, 984, 759, 486, 236, 73, 33, 117, 294, 509, 701, 818, 833, 749, 593, 407, 233, 101, 23, 0, 0, 14, 31, 37, 28, 8, 0, 0, 35, 141, 308, 515, 716, 863, 915, 856, 705, 502, 298, 136, 36, 0, 0, 4, 14, 15, 8, 0, 0, 0, 0, 2, 4, 3, 2, 2, 3, 4, 5, 6, 5, 4, 3, 1, 0, 0, 1, 3, 7, 14, 22, 29, 33, 28, 15, 0, 0, 8, 64, 165, 300, 443, 559, 618, 603, 518, 387, 244, 121, 38, 0, 0, 7, 24, 35, 37, 31, 21, 11, 3, 0, 0, 6, 17, 31, 44, 53, 56, 51, 40, 26, 13, 3, 0, 3, 12, 24, 38, 50, 56, 53, 39, 17, 0, 0, 30, 118, 259, 435, 610, 742, 792, 743, 605, 412, 219, 80, 36, 102, 265, 482, 697, 851, 903, 838, 673, 455, 244, 100, 63, 142, 316, 534, 737, 870, 900, 825, 669, 474, 285, 136, 42, 1, 0, 6, 17, 20, 15, 7, 0, 0, 0, 0, 4, 8, 11, 15, 18, 21, 22, 22, 21, 18, 16, 15, 18, 26, 37, 50, 60, 60, 48, 24, 0, 0, 23, 112, 262, 454, 653, 812, 890, 867, 749, 567, 368, 194, 72, 9, 0, 0, 8, 14, 12, 9, 9, 13, 20, 26, 27, 24, 19, 15, 15, 22, 32, 43, 49, 44, 27, 5, 0, 6, 67, 182, 343, 520, 675, 767, 772, 688, 538, 361, 198, 78, 11, 0, 0, 15, 27, 31, 28, 21, 15, 9, 4, 1, 0, 2, 8, 16, 24, 30, 32, 30, 23, 15, 7, 2, 0, 1, 5, 11, 21, 31, 40, 42, 35, 18, 0, 0, 19, 96, 228, 403, 587, 738, 813, 789, 665, 474, 265, 100, 26, 69, 221, 444, 680, 865, 953, 923, 788, 589, 376, 194, 70, 8, 0, 0, 10, 13, 9, 1, 0, 0, 0, 2, 4, 4, 3, 1, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 7, 14, 20, 26, 29, 30, 28, 26, 23, 21, 18, 17, 15, 13, 10, 8, 6, 5, 4, 3, 3, 3, 4, 5, 6, 8, 10, 11, 11, 11, 10, 8, 6, 4, 2, 1, 0, 0, 0, 0, 2, 4, 6, 10, 13, 16, 19, 21, 21, 19, 16, 12, 8, 4, 2, 2, 4, 8, 13, 17, 19, 19, 16, 12, 8, 4, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 9, 12, 14, 14, 13, 10, 7, 4, 2, 1, 2, 3, 6, 8, 10, 13, 14, 16, 17, 17, 16, 14, 12, 10, 7, 5, 3, 1, 0, 0, 0, 1, 5, 11, 18, 26, 32, 35, 35, 32, 28, 23, 20, 17, 17, 16, 16, 16, 14, 12, 10, 8, 7, 7, 8, 12, 16, 20, 24, 26, 25, 23, 19, 16, 12, 11, 10, 10, 10, 10, 8, 6, 4, 2, 1, 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, 1, 3, 7, 11, 13, 14, 12, 9, 5, 2, 0, 0, 0, 2, 6, 10, 15, 18, 18, 16, 11, 5, 1, 0, 4, 12, 23, 34, 43, 47, 43, 31, 12, 0, 0, 20, 87, 193, 324, 456, 556, 599, 575, 490, 366, 233, 119, 42, 5, 2, 19, 44, 64, 74, 70, 53, 26, 0, 0, 17, 103, 251, 450, 665, 850, 962, 971, 876, 701, 490, 290, 136, 48, 22, 38, 70, 95, 96, 71, 32, 0, 0, 44, 159, 333, 542, 746, 900, 965, 924, 784, 579, 361, 186, 99, 123, 251, 454, 678, 867, 973, 968, 854, 659, 434, 234, 111, 96, 190, 368, 584, 781, 908, 932, 847, 673, 456, 249, 106, 61, 124, 276, 475, 668, 804, 853, 806, 679, 508, 331, 182, 81, 32, 23, 38, 58, 69, 62, 39, 10, 0, 0, 58, 170, 329, 511, 680, 797, 833, 780, 651, 478, 300, 152, 52, 2, 0, 2, 18, 29, 34, 34, 32, 29, 27, 26, 26, 28, 33, 42, 54, 64, 67, 58, 37, 10, 0, 4, 69, 197, 385, 606, 817, 971, 1028, 971, 810, 585, 350, 161, 62, 73, 184, 361, 556, 716, 801, 793, 696, 541, 364, 205, 88, 21, 0, 0, 5, 10, 7, 1, 0, 0, 5, 16, 25, 30, 29, 24, 17, 10, 6, 4, 5, 6, 6, 5, 4, 2, 0, 0, 0, 0, 0, 2, 3, 6, 8, 11, 13, 14, 14, 13, 10, 7, 4, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 3, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 4, 7, 10, 12, 12, 10, 6, 2, 0, 0, 0, 4, 9, 14, 17, 17, 15, 11, 6, 2, 0, 0, 0, 0, 2, 4, 5, 6, 7, 7, 7, 8, 11, 16, 24, 33, 43, 51, 58, 59, 54, 40, 19, 0, 0, 20, 95, 225, 398, 585, 748, 848, 859, 779, 627, 441, 263, 123, 36, 0, 0, 2, 11, 12, 8, 2, 0, 0, 0, 2, 5, 7, 10, 13, 17, 20, 20, 18, 13, 8, 3, 0, 1, 5, 13, 22, 32, 39, 39, 31, 15, 0, 0, 17, 87, 206, 364, 534, 679, 763, 765, 684, 542, 374, 217, 98, 26, 0, 0, 2, 9, 10, 8, 8, 11, 18, 26, 32, 35, 36, 36, 38, 42, 47, 49, 45, 31, 11, 0, 0, 41, 135, 282, 464, 648, 794, 867, 849, 742, 576, 388, 218, 93, 22, 0, 0, 4, 10, 8, 3, 0, 0, 0, 1, 3, 4, 4, 3, 2, 1, 0, 0, 0, 0, 1, 3, 7, 12, 16, 18, 18, 16, 12, 8, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 6, 6, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 9, 10, 11, 10, 8, 5, 3, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 4, 6, 7, 9, 10, 10, 10, 9, 8, 6, 5, 5, 7, 11, 17, 24, 29, 33, 33, 30, 24, 18, 13, 11, 14, 20, 27, 35, 40, 42, 38, 32, 23, 15, 10, 9, 13, 22, 36, 51, 66, 75, 74, 61, 37, 10, 0, 11, 75, 193, 358, 546, 721, 846, 894, 853, 737, 572, 395, 240, 127, 66, 47, 54, 68, 74, 62, 37, 9, 0, 22, 98, 231, 407, 601, 774, 889, 918, 852, 704, 510, 316, 167, 100, 127, 240, 405, 579, 716, 781, 760, 660, 509, 341, 192, 84, 22, 0, 0, 3, 7, 6, 2, 0, 0, 0, 0, 1, 3, 4, 5, 7, 9, 10, 9, 7, 4, 1, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 3, 1, 1, 1, 3, 8, 13, 20, 25, 26, 21, 9, 0, 0, 21, 86, 196, 341, 499, 637, 723, 737, 675, 553, 401, 250, 127, 46, 5, 0, 0, 5, 7, 5, 0, 0, 0, 0, 2, 7, 12, 17, 22, 26, 26, 24, 18, 12, 6, 1, 0, 0, 3, 6, 8, 9, 9, 7, 5, 3, 1, 1, 1, 1, 2, 4, 7, 11, 15, 16, 13, 6, 0, 0, 12, 57, 132, 232, 340, 432, 489, 497, 454, 372, 271, 171, 90, 36, 7, 0, 0, 2, 3, 2, 0, 0, 0, 0, 2, 5, 7, 8, 9, 9, 8, 7, 6, 4, 2, 0, 0, 0, 2, 6, 10, 13, 14, 13, 11, 8, 5, 3, 4, 7, 12, 17, 21, 24, 24, 22, 17, 12, 6, 1, 0, 0, 4, 10, 18, 25, 29, 29, 24, 17, 10, 6, 6, 11, 21, 34, 46, 55, 57, 52, 37, 16, 0, 0, 25, 101, 227, 392, 571, 730, 833, 857, 796, 667, 497, 323, 174, 70, 12, 0, 0, 14, 23, 21, 9, 0, 0, 24, 98, 222, 387, 566, 725, 829, 854, 793, 661, 489, 314, 167, 65, 12, 0, 0, 4, 7, 5, 1, 0, 0, 0, 2, 4, 5, 5, 6, 8, 12, 15, 16, 13, 5, 0, 0, 15, 59, 133, 231, 338, 435, 500, 519, 489, 418, 323, 222, 135, 71, 33, 18, 16, 21, 25, 27, 26, 24, 23, 23, 24, 25, 26, 26, 26, 26, 26, 27, 27, 29, 30, 32, 34, 38, 42, 46, 52, 58, 63, 66, 65, 58, 45, 29, 14, 10, 25, 66, 135, 225, 323, 410, 468, 487, 461, 399, 313, 222, 141, 80, 43, 26, 24, 28, 33, 35, 34, 31, 28, 27, 28, 31, 36, 41, 47, 50, 49, 40, 23, 3, 0, 6, 63, 174, 336, 530, 724, 876, 954, 940, 836, 668, 471, 286, 141, 48, 4, 0, 0, 6, 7, 4, 0, 0, 0, 0, 2, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 2, 6, 10, 15, 20, 24, 27, 27, 26, 23, 19, 16, 12, 10, 10, 10, 12, 13, 14, 14, 12, 9, 6, 3, 3, 5, 11, 18, 26, 33, 38, 39, 38, 36, 32, 30, 29, 32, 37, 45, 52, 57, 60, 59, 55, 49, 42, 37, 33, 31, 30, 29, 27, 25, 23, 21, 19, 18, 19, 21, 23, 26, 29, 31, 32, 33, 32, 28, 21, 11, 0, 0, 7, 43, 109, 202, 312, 418, 499, 538, 526, 466, 373, 265, 164, 84, 31, 6, 0, 6, 14, 20, 22, 21, 19, 18, 20, 25, 33, 41, 50, 57, 62, 63, 60, 54, 47, 41, 39, 42, 49, 59, 68, 75, 77, 74, 67, 58, 51, 47, 48, 53, 62, 72, 79, 81, 78, 70, 59, 48, 40, 38, 42, 54, 72, 92, 108, 113, 104, 80, 47, 18, 13, 50, 145, 299, 498, 713, 905, 1033, 1069, 1003, 851, 646, 436, 269, 179, 182, 268, 409, 565, 693, 761, 755, 679, 551, 399, 254, 137, 61, 24, 18, 28, 40, 42, 32, 13, 0, 4, 45, 134, 269, 436, 608, 752, 837, 841, 764, 622, 449, 286, 173, 135, 179, 292, 443, 594, 710, 763, 743, 657, 525, 375, 234, 122, 48, 10, 0, 0, 3, 5, 4, 1, 0, 0, 3, 6, 10, 14, 18, 22, 26, 29, 30, 28, 24, 18, 13, 10, 11, 15, 23, 33, 43, 50, 51, 44, 30, 14, 1, 2, 26, 79, 163, 268, 379, 477, 541, 558, 525, 450, 347, 239, 143, 72, 30, 14, 14, 21, 27, 28, 25, 19, 14, 13, 18, 29, 44, 60, 72, 77, 71, 52, 26, 2, 0, 31, 116, 260, 452, 668, 871, 1022, 1090, 1060, 940, 754, 541, 339, 177, 68, 11, 0, 0, 8, 12, 6, 0, 0, 12, 66, 159, 289, 438, 579, 684, 729, 705, 617, 485, 338, 203, 99, 34, 3, 0, 0, 3, 4, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 4, 8, 13, 18, 24, 28, 30, 31, 31, 31, 30, 31, 32, 33, 34, 32, 29, 23, 17, 11, 7, 6, 7, 12, 18, 24, 30, 34, 36, 35, 32, 29, 26, 24, 23, 23, 25, 26, 27, 27, 25, 21, 16, 12, 9, 9, 11, 18, 26, 34, 38, 34, 23, 7, 0, 1, 38, 116, 233, 378, 526, 649, 720, 724, 660, 545, 401, 259, 141, 60, 15, 0, 0, 2, 4, 3, 0, 0, 0, 1, 4, 5, 5, 3, 1, 0, 1, 4, 8, 13, 18, 21, 24, 25, 26, 26, 27, 28, 29, 28, 24, 16, 6, 0, 4, 28, 76, 148, 239, 335, 419, 472, 483, 450, 379, 286, 189, 105, 45, 11, 0, 0, 1, 3, 3, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 4, 7, 10, 14, 18, 22, 26, 28, 30, 29, 27, 24, 19, 15, 13, 13, 16, 22, 31, 41, 48, 52, 51, 44, 35, 25, 16, 13, 14, 21, 29, 38, 45, 48, 48, 45, 43, 41, 41, 43, 47, 53, 59, 64, 65, 62, 55, 45, 40, 47, 74, 129, 212, 314, 422, 514, 570, 574, 523, 429, 315, 212, 152, 156, 231, 363, 524, 676, 783, 819, 778, 671, 521, 362, 219, 111, 43, 11, 2, 5, 10, 13, 12, 9, 7, 8, 9, 11, 12, 12, 10, 7, 4, 1, 0, 0, 0, 0, 1, 3, 3, 4, 4, 3, 3, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 7, 12, 18, 24, 28, 30, 30, 29, 27, 26, 26, 26, 28, 30, 32, 35, 38, 39, 40, 38, 36, 34, 32, 32, 33, 36, 39, 41, 42, 42, 40, 38, 36, 34, 32, 30, 27, 24, 20, 18, 17, 18, 20, 22, 22, 19, 12, 5, 4, 17, 51, 112, 199, 302, 406, 494, 548, 556, 518, 442, 342, 238, 145, 75, 30, 8, 1, 2, 5, 6, 5, 4, 4, 6, 10, 14, 17, 18, 16, 13, 9, 7, 8, 10, 14, 18, 21, 22, 22, 20, 18, 17, 15, 14, 12, 10, 7, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 9, 10, 10, 9, 8, 7, 7, 6, 5, 5, 5, 6, 6, 6, 6, 4, 2, 1, 0, 0, 0, 1, 2, 4, 4, 3, 1, 0, 0, 0, 3, 10, 17, 20, 18, 9, 0, 0, 13, 52, 113, 189, 262, 316, 335, 316, 263, 191, 116, 54, 13, 0, 0, 17, 43, 71, 96, 114, 123, 121, 109, 90, 69, 50, 35, 27, 23, 23, 24, 26, 27, 28, 29, 29, 29, 30, 31, 32, 34, 36, 38, 39, 39, 39, 38, 37, 36, 37, 38, 40, 42, 43, 45, 48, 50, 53, 56, 59, 61, 64, 68, 74, 82, 92, 103, 115, 127, 139, 152, 166, 181, 198, 215, 232, 249, 264, 280, 297, 315, 335, 356, 378, 401, 425, 451, 478, 504, 528, 546, 555, 554, 541, 518, 487, 453, 419, 389, 365, 349, 340, 335, 331, 323, 308, 285, 254, 218, 181, 147, 120, 101, 93, 94, 104, 121, 143, 167, 191, 214, 237, 261, 286, 314, 344, 372, 395, 407, 404, 385, 350, 302, 244, 184, 127, 79, 42, 18, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 8, 9, 12, 14, 18, 22, 27, 33, 40, 47, 53, 56, 57, 55, 51, 46, 41, 37, 34, 32, 31, 30, 30, 28, 26, 24, 21, 19, 17, 16, 14, 13, 12, 11, 10, 10, 10, 9, 9, 9, 9, 10, 11, 13, 15, 17, 19, 20, 20, 21, 21, 21, 22, 23, 24, 26, 28, 31, 33, 35, 36, 35, 33, 30, 29, 28, 29, 31, 33, 35, 35, 34, 32, 29, 27, 26, 26, 28, 30, 33, 35, 36, 36, 34, 32, 29, 28, 27, 28, 29, 30, 30, 31, 30, 30, 29, 28, 26, 24, 21, 18, 14, 11, 9, 7, 6, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 7, 9, 10, 10, 8, 6, 4, 3, 3, 3, 4, 6, 6, 6, 5, 4, 3, 3, 2, 1, 1, 1, 2, 3, 4, 5, 5, 5, 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, 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, 7, 9, 13, 16, 20, 24, 25, 25, 24, 22, 19, 17, 15, 14, 12, 10, 9, 7, 6, 5, 4, 4, 3, 3, 2, 2, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 7, 9, 10, 11, 11, 10, 9, 7, 6, 5, 4, 4, 4, 3, 3, 2, 3, 4, 5, 8, 11, 15, 18, 21, 24, 26, 28, 29, 29, 28, 28, 27, 27, 28, 31, 33, 35, 36, 36, 35, 33, 30, 28, 27, 28, 30, 32, 35, 36, 37, 36, 34, 32, 30, 28, 27, 26, 24, 22, 19, 16, 14, 12, 11, 10, 10, 10, 10, 9, 8, 7, 7, 6, 5, 4, 4, 4, 3, 4, 5, 7, 10, 13, 16, 18, 19, 20, 19, 17, 15, 13, 11, 10, 9, 8, 8, 9, 9, 10, 10, 9, 7, 5, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 3, 5, 6, 8, 9, 10, 10, 9, 7, 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, 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, 3, 5, 8, 10, 11, 11, 10, 8, 5, 3, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 3, 4, 6, 9, 12, 14, 16, 17, 18, 17, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 8, 7, 6, 5, 5, 4, 3, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 7, 9, 11, 12, 14, 15, 16, 15, 15, 13, 11, 9, 8, 7, 6, 5, 5, 5, 4, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 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, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 3, 5, 7, 9, 12, 14, 17, 19, 21, 22, 23, 23, 23, 24, 24, 25, 27, 29, 31, 33, 34, 33, 31, 28, 26, 26, 28, 32, 37, 41, 45, 47, 47, 46, 44, 43, 41, 38, 36, 34, 32, 30, 30, 30, 30, 30, 28, 27, 25, 24, 25, 28, 32, 36, 39, 40, 39, 36, 33, 29, 25, 23, 22, 22, 23, 25, 25, 24, 21, 18, 14, 11, 9, 8, 8, 9, 9, 9, 9, 9, 8, 8, 7, 7, 7, 7, 8, 10, 12, 14, 15, 16, 17, 16, 14, 12, 10, 8, 7, 7, 8, 9, 10, 10, 11, 10, 10, 9, 8, 7, 6, 4, 3, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 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, 2, 3, 5, 6, 7, 7, 7, 6, 6, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 5, 6, 7, 7, 6, 5, 5, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 3, 6, 10, 14, 18, 22, 24, 25, 24, 22, 20, 17, 15, 13, 11, 9, 8, 7, 6, 5, 4, 2, 1, 0, 0, 1, 2, 3, 4, 4, 4, 3, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 4, 5, 6, 7, 8, 8, 8, 7, 5, 4, 3, 2, 2, 3, 4, 5, 7, 10, 13, 16, 20, 24, 27, 29, 31, 32, 33, 33, 32, 32, 32, 32, 33, 34, 35, 35, 35, 34, 33, 31, 29, 27, 26, 25, 23, 21, 19, 17, 15, 13, 12, 12, 12, 13, 14, 17, 21, 26, 29, 32, 32, 30, 27, 24, 21, 19, 18, 18, 18, 17, 16, 14, 11, 9, 7, 6, 5, 4, 4, 3, 3, 3, 2, 1, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 1, 3, 6, 8, 9, 10, 9, 9, 8, 8, 8, 8, 9, 9, 11, 12, 13, 14, 14, 13, 12, 10, 9, 8, 7, 6, 6, 5, 3, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 3, 5, 6, 7, 7, 6, 7, 8, 10, 12, 14, 14, 14, 14, 13, 13, 14, 15, 16, 16, 15, 14, 12, 10, 8, 7, 7, 7, 7, 7, 7, 6, 6, 5, 5, 5, 6, 7, 9, 10, 12, 13, 13, 12, 11, 9, 7, 5, 4, 4, 4, 4, 5, 5, 6, 7, 7, 8, 9, 10, 11, 13, 15, 17, 19, 19, 19, 19, 18, 18, 18, 20, 22, 24, 26, 27, 28, 27, 26, 24, 23, 21, 20, 19, 18, 17, 16, 15, 13, 11, 9, 8, 8, 9, 12, 14, 17, 19, 20, 21, 22, 22, 23, 24, 24, 24, 23, 22, 21, 19, 18, 18, 17, 17, 18, 18, 18, 18, 17, 16, 14, 13, 12, 11, 12, 12, 13, 14, 15, 16, 17, 18, 20, 21, 23, 25, 26, 28, 28, 28, 27, 26, 24, 23, 22, 21, 21, 22, 22, 21, 20, 19, 18, 17, 16, 15, 15, 14, 13, 13, 14, 16, 18, 20, 20, 19, 17, 14, 12, 10, 10, 10, 10, 10, 10, 9, 7, 6, 6, 6, 7, 7, 8, 9, 10, 12, 13, 14, 14, 14, 12, 11, 9, 8, 8, 8, 7, 7, 5, 4, 3, 2, 2, 3, 4, 4, 5, 5, 5, 5, 5, 4, 4, 3, 2, 2, 2, 3, 5, 7, 8, 10, 11, 12, 12, 12, 13, 13, 13, 13, 12, 11, 10, 8, 7, 6, 5, 4, 4, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 3, 4, 6, 8, 10, 13, 15, 17, 18, 19, 19, 18, 17, 16, 14, 14, 13, 14, 14, 14, 14, 15, 15, 15, 16, 16, 15, 14, 12, 10, 9, 9, 9, 10, 12, 14, 15, 15, 14, 13, 11, 10, 8, 7, 6, 6, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 12, 13, 14, 14, 13, 12, 11, 10, 10, 10, 9, 9, 8, 7, 6, 5, 5, 5, 6, 6, 7, 8, 10, 11, 13, 13, 14, 13, 13, 13, 14, 16, 17, 18, 19, 19, 20, 20, 21, 23, 24, 25, 24, 23, 22, 20, 18, 17, 16, 15, 14, 12, 11, 9, 8, 7, 6, 6, 7, 8, 8, 9, 9, 9, 9, 8, 8, 7, 7, 7, 7, 8, 8, 10, 11, 13, 14, 14, 13, 12, 11, 10, 9, 10, 11, 13, 14, 15, 15, 15, 14, 13, 13, 13, 14, 15, 17, 19, 21, 24, 28, 32, 35, 37, 38, 36, 32, 28, 23, 20, 19, 20, 22, 24, 26, 26, 24, 21, 18, 15, 13, 12, 13, 13, 13, 13, 12, 12, 12, 12, 14, 15, 17, 19, 21, 24, 27, 30, 33, 36, 37, 38, 37, 35, 34, 33, 34, 35, 36, 38, 38, 38, 38, 37, 35, 34, 32, 30, 28, 25, 23, 22, 20, 19, 18, 18, 18, 18, 18, 18, 18, 18, 18, 20, 22, 25, 27, 29, 30, 29, 28, 27, 26, 25, 25, 25, 26, 25, 25, 24, 23, 22, 21, 20, 20, 20, 20, 21, 22, 23, 23, 23, 22, 21, 20, 18, 17, 16, 14, 13, 11, 11, 10, 10, 10, 10, 9, 8, 7, 6, 6, 6, 7, 7, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 6, 6, 5, 4, 3, 2, 2, 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, 2, 4, 6, 8, 9, 9, 8, 7, 6, 5, 5, 5, 6, 7, 8, 8, 8, 8, 7, 6, 6, 5, 5, 6, 7, 8, 9, 10, 11, 11, 12, 12, 13, 14, 15, 15, 15, 14, 11, 9, 7, 6, 6, 7, 8, 9, 10, 10, 9, 9, 10, 12, 14, 16, 17, 17, 17, 15, 13, 12, 10, 8, 6, 5, 4, 3, 3, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 4, 5, 5, 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5, 6, 6, 6, 5, 5, 6, 6, 6, 7, 7, 7, 8, 7, 7, 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, 1, 2, 3, 5, 6, 8, 9, 10, 10, 11, 11, 13, 14, 15, 17, 18, 18, 19, 20, 21, 23, 24, 25, 24, 23, 21, 18, 17, 16, 16, 17, 17, 16, 15, 13, 12, 11, 10, 10, 10, 11, 12, 14, 15, 17, 18, 18, 18, 17, 16, 15, 14, 14, 14, 15, 15, 15, 14, 14, 13, 12, 10, 9, 7, 5, 4, 3, 2, 3, 3, 3, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 4, 5, 6, 7, 8, 8, 8, 7, 7, 6, 6, 5, 5, 5, 5, 5, 6, 7, 6, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 3, 2, 2, 1, 1, 2, 2, 3, 3, 4, 5, 6, 7, 9, 11, 13, 15, 17, 18, 19, 18, 18, 17, 16, 16, 18, 20, 23, 26, 28, 29, 29, 27, 25, 22, 19, 17, 15, 14, 13, 12, 11, 11, 10, 11, 11, 12, 14, 15, 17, 19, 21, 22, 23, 24, 24, 24, 22, 21, 19, 17, 14, 13, 12, 11, 12, 12, 12, 12, 11, 9, 6, 4, 3, 2, 2, 3, 5, 6, 7, 9, 9, 10, 10, 11, 11, 13, 15, 19, 23, 26, 29, 31, 32, 31, 30, 29, 28, 28, 29, 29, 30, 30, 29, 28, 27, 27, 27, 27, 27, 28, 28, 27, 27, 26, 25, 25, 26, 27, 28, 29, 29, 28, 28, 28, 29, 31, 33, 34, 35, 34, 33, 32, 31, 32, 32, 32, 31, 28, 25, 22, 19, 17, 17, 17, 18, 19, 20, 21, 22, 23, 25, 26, 28, 29, 29, 29, 28, 27, 25, 22, 20, 18, 16, 15, 14, 13, 12, 12, 12, 12, 12, 13, 14, 15, 16, 18, 19, 20, 21, 21, 21, 21, 20, 19, 18, 16, 14, 13, 12, 11, 10, 10, 8, 7, 6, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 4, 4, 5, 5, 6, 6, 7, 8, 9, 10, 10, 9, 7, 5, 3, 1, 0, 0, 1, 2, 3, 3, 4, 4, 5, 6, 8, 11, 13, 15, 15, 15, 15, 14, 13, 13, 12, 12, 12, 12, 12, 11, 12, 12, 13, 14, 15, 16, 16, 16, 16, 16, 16, 17, 18, 18, 19, 20, 20, 22, 24, 26, 29, 30, 32, 32, 33, 33, 34, 34, 35, 34, 33, 31, 29, 26, 24, 21, 19, 15, 12, 10, 8, 8, 9, 11, 13, 15, 16, 18, 19, 20, 22, 23, 23, 23, 22, 21, 21, 21, 23, 25, 28, 29, 30, 30, 29, 27, 25, 24, 22, 21, 19, 18, 17, 16, 15, 15, 14, 13, 11, 9, 8, 7, 6, 6, 7, 7, 6, 6, 4, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 6, 6, 7, 7, 7, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 9, 8, 7, 7, 6, 5, 4, 2, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 7, 6, 4, 3, 2, 2, 3, 5, 7, 9, 11, 12, 13, 14, 15, 15, 16, 15, 14, 13, 12, 11, 11, 12, 13, 15, 16, 16, 15, 14, 13, 11, 9, 8, 7, 6, 6, 5, 5, 5, 6, 6, 6, 6, 6, 5, 4, 3, 1, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 2, 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, 1, 2, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17, 18, 18, 18, 17, 16, 16, 16, 17, 17, 17, 16, 14, 12, 10, 8, 6, 6, 5, 5, 4, 4, 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, 3, 3, 4, 6, 9, 11, 13, 14, 14, 14, 14, 14, 14, 15, 15, 15, 14, 14, 13, 12, 11, 10, 9, 8, 7, 7, 6, 7, 8, 8, 9, 10, 10, 9, 8, 7, 6, 6, 7, 8, 8, 9, 9, 8, 7, 6, 5, 5, 5, 5, 5, 4, 4, 3, 3, 2, 2, 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 4, 5, 7, 8, 10, 11, 12, 13, 12, 11, 9, 7, 6, 5, 6, 7, 8, 8, 8, 7, 6, 5, 5, 6, 8, 9, 9, 8, 7, 5, 4, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 8, 11, 13, 16, 17, 18, 17, 16, 15, 15, 16, 18, 19, 19, 18, 17, 15, 13, 11, 10, 9, 7, 6, 4, 3, 2, 1, 2, 3, 3, 3, 3, 2, 0, 0, 0, 1, 2, 3, 4, 3, 2, 1, 0, 0, 0, 2, 3, 4, 5, 4, 3, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 7, 9, 10, 11, 11, 12, 13, 13, 14, 15, 16, 17, 18, 20, 21, 21, 22, 23, 24, 26, 27, 29, 30, 32, 33, 34, 35, 35, 34, 32, 30, 28, 26, 24, 23, 22, 21, 20, 18, 16, 14, 13, 12, 12, 13, 14, 15, 16, 17, 18, 18, 18, 17, 16, 15, 15, 15, 16, 17, 18, 18, 18, 17, 17, 16, 15, 14, 14, 13, 12, 10, 9, 7, 6, 5, 5, 5, 6, 7, 7, 7, 7, 8, 8, 9, 10, 12, 13, 15, 16, 16, 17, 16, 16, 16, 16, 16, 17, 19, 20, 21, 22, 22, 22, 23, 22, 22, 22, 21, 21, 20, 21, 21, 20, 19, 17, 15, 13, 11, 10, 10, 10, 11, 10, 10, 10, 10, 11, 13, 15, 16, 18, 20, 21, 23, 24, 24, 24, 23, 22, 22, 23, 24, 26, 27, 26, 25, 22, 20, 19, 18, 19, 19, 20, 19, 18, 16, 14, 12, 11, 12, 12, 13, 14, 15, 17, 18, 20, 21, 22, 22, 22, 21, 22, 23, 24, 24, 24, 23, 20, 18, 16, 15, 15, 15, 14, 13, 10, 8, 5, 3, 2, 1, 2, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 8, 9, 9, 10, 10, 10, 9, 8, 8, 9, 11, 14, 17, 19, 20, 19, 18, 16, 15, 14, 14, 14, 14, 13, 12, 10, 8, 7, 6, 5, 5, 5, 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, 1, 1, 2, 2, 4, 5, 6, 7, 8, 9, 9, 9, 10, 11, 12, 14, 15, 16, 16, 17, 17, 17, 18, 18, 19, 20, 21, 21, 22, 22, 22, 22, 22, 22, 23, 23, 22, 22, 21, 20, 19, 18, 16, 15, 14, 12, 11, 10, 9, 9, 8, 8, 7, 6, 5, 3, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 4, 4, 5, 6, 7, 8, 9, 9, 10, 10, 11, 12, 13, 14, 15, 16, 15, 13, 12, 10, 9, 9, 9, 8, 7, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 5, 6, 7, 8, 7, 7, 5, 4, 4, 4, 5, 6, 6, 6, 5, 4, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 4, 4, 5, 6, 8, 10, 11, 12, 12, 12, 11, 11, 11, 13, 16, 18, 21, 22, 23, 23, 23, 23, 23, 24, 25, 25, 25, 25, 24, 23, 23, 23, 23, 23, 23, 23, 23, 22, 22, 21, 20, 19, 18, 17, 16, 16, 16, 16, 15, 13, 11, 8, 6, 3, 2, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 6, 7, 7, 7, 6, 5, 4, 3, 3, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 3, 4, 5, 5, 4, 3, 1, 1, 0, 1, 2, 3, 3, 4, 3, 2, 2, 1, 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, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 4, 4, 5, 6, 6, 5, 4, 3, 1, 0, 0, 0, 0, 1, 1, 1, 1, 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, 0, 0, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 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, 1, 1, 1, 0, 0, 0, 0, 0, 2, 3, 3, 3, 2, 1, 0, 0, 1, 2, 3, 3, 3, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 6, 6, 6, 7, 8, 8, 9, 10, 10, 11, 11, 10, 10, 9, 8, 8, 8, 9, 10, 10, 10, 10, 9, 8, 7, 6, 7, 8, 9, 10, 11, 11, 10, 10, 11, 12, 14, 16, 18, 20, 21, 21, 20, 19, 18, 17, 17, 17, 16, 16, 16, 16, 15, 15, 15, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 27, 29, 30, 30, 30, 29, 27, 27, 27, 28, 30, 31, 33, 33, 33, 33, 32, 32, 31, 30, 30, 30, 30, 31, 33, 34, 36, 38, 38, 38, 38, 36, 35, 33, 32, 31, 30, 31, 31, 32, 32, 32, 31, 29, 27, 25, 24, 23, 22, 21, 22, 22, 22, 23, 24, 25, 25, 26, 27, 27, 27, 27, 26, 25, 25, 25, 25, 25, 25, 25, 24, 23, 22, 20, 19, 18, 17, 15, 14, 12, 11, 11, 10, 11, 11, 11, 12, 13, 13, 14, 14, 15, 15, 14, 14, 14, 15, 16, 18, 20, 22, 24, 25, 26, 27, 28, 29, 29, 30, 30, 30, 30, 30, 31, 32, 33, 34, 34, 33, 31, 29, 28, 27, 27, 27, 27, 27, 25, 23, 21, 20, 19, 18, 18, 18, 16, 15, 13, 11, 10, 8, 8, 7, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 3, 3, 4, 5, 5, 5, 4, 2, 1, 0, 1, 3, 4, 5, 4, 4, 2, 1, 1, 0, 1, 1, 1, 2, 2, 3, 4, 5, 5, 5, 4, 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, 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, 4, 4, 4, 5, 6, 7, 8, 9, 10, 10, 11, 11, 10, 9, 8, 8, 8, 9, 10, 12, 14, 15, 14, 13, 11, 9, 8, 7, 8, 8, 9, 9, 8, 6, 5, 3, 2, 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 4, 3, 2, 1, 1, 2, 4, 6, 8, 9, 10, 10, 10, 10, 11, 12, 14, 16, 16, 17, 17, 17, 18, 18, 18, 18, 16, 15, 13, 11, 11, 11, 11, 11, 11, 10, 9, 7, 6, 6, 5, 5, 6, 6, 7, 7, 7, 7, 8, 8, 9, 10, 10, 11, 11, 10, 10, 10, 11, 12, 15, 18, 20, 22, 22, 21, 19, 16, 14, 13, 13, 14, 15, 15, 14, 14, 13, 12, 12, 12, 12, 12, 11, 9, 8, 6, 5, 4, 4, 3, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 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, 0, 0, 0, 0, 0, 0, 0, 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, 4, 5, 5, 6, 6, 6, 6, 6, 5, 5, 6, 7, 8, 9, 9, 9, 8, 7, 6, 5, 5, 6, 6, 7, 7, 8, 9, 9, 9, 8, 7, 6, 6, 5, 5, 4, 4, 4, 3, 3, 2, 1, 1, 1, 1, 2, 3, 4, 5, 6, 6, 6, 5, 6, 7, 9, 12, 15, 17, 18, 18, 17, 15, 14, 15, 16, 18, 21, 23, 24, 24, 24, 23, 21, 20, 18, 17, 17, 17, 17, 18, 18, 19, 20, 21, 22, 23, 24, 23, 23, 22, 22, 22, 24, 26, 29, 31, 33, 34, 34, 34, 34, 33, 32, 31, 30, 28, 27, 26, 25, 24, 24, 23, 23, 23, 23, 22, 21, 19, 17, 15, 14, 13, 12, 12, 12, 12, 13, 13, 13, 12, 12, 12, 12, 12, 12, 12, 12, 11, 11, 11, 11, 12, 13, 13, 14, 14, 14, 14, 13, 13, 13, 14, 15, 16, 18, 20, 21, 23, 24, 25, 26, 26, 26, 26, 27, 27, 27, 27, 27, 28, 28, 28, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 28, 27, 25, 24, 23, 24, 24, 25, 25, 25, 24, 22, 21, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 18, 17, 15, 15, 14, 15, 15, 15, 14, 13, 11, 10, 9, 10, 10, 11, 11, 11, 12, 13, 14, 16, 18, 19, 19, 18, 17, 16, 16, 16, 17, 19, 20, 20, 20, 20, 20, 19, 19, 18, 17, 15, 14, 12, 11, 11, 11, 11, 11, 10, 9, 8, 7, 6, 5, 6, 7, 8, 8, 8, 7, 6, 5, 4, 4, 5, 6, 6, 6, 6, 5, 5, 6, 7, 9, 11, 12, 11, 11, 9, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 9, 9, 8, 6, 5, 4, 3, 3, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 5, 5, 7, 8, 9, 9, 9, 9, 9, 10, 11, 12, 13, 14, 14, 14, 14, 14, 14, 15, 15, 16, 17, 17, 17, 17, 16, 15, 15, 14, 13, 14, 15, 17, 19, 21, 22, 23, 22, 21, 20, 20, 22, 23, 24, 24, 23, 21, 19, 17, 17, 17, 17, 18, 18, 17, 17, 16, 16, 15, 15, 14, 14, 14, 14, 15, 15, 16, 16, 16, 16, 16, 16, 17, 18, 18, 18, 18, 17, 16, 16, 16, 18, 19, 21, 21, 21, 21, 20, 19, 18, 18, 17, 16, 15, 14, 14, 13, 12, 12, 11, 10, 9, 9, 9, 9, 10, 10, 9, 8, 7, 5, 4, 4, 4, 5, 7, 8, 9, 9, 8, 7, 6, 4, 3, 2, 2, 3, 4, 5, 6, 7, 7, 7, 8, 8, 9, 10, 10, 11, 10, 10, 10, 9, 10, 11, 12, 13, 14, 15, 15, 16, 16, 17, 17, 17, 17, 17, 16, 16, 16, 16, 16, 17, 17, 17, 16, 15, 14, 13, 11, 11, 10, 11, 12, 13, 14, 15, 15, 15, 16, 16, 16, 17, 18, 19, 19, 19, 19, 18, 18, 17, 17, 17, 17, 17, 16, 15, 15, 14, 14, 14, 14, 14, 14, 13, 12, 11, 10, 9, 9, 9, 9, 9, 8, 7, 6, 6, 6, 6, 6, 6, 5, 3, 2, 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, 1, 1, 2, 3, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 2, 2, 1, 1, 1, 1, 2, 3, 4, 5, 6, 7, 7, 7, 7, 7, 6, 6, 5, 4, 3, 3, 3, 3, 4, 4, 4, 4, 3, 2, 2, 1, 1, 2, 2, 3, 3, 3, 2, 2, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 3, 1, 1, 1, 1, 2, 4, 5, 6, 7, 6, 6, 5, 5, 5, 6, 7, 8, 8, 8, 8, 8, 8, 9, 9, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21, 21, 21, 21, 20, 20, 20, 20, 21, 23, 25, 28, 29, 30, 30, 29, 28, 27, 26, 25, 25, 25, 26, 25, 25, 24, 23, 21, 20, 19, 18, 18, 19, 19, 20, 21, 21, 21, 20, 20, 20, 22, 23, 25, 26, 26, 25, 24, 24, 24, 26, 28, 29, 30, 29, 28, 26, 25, 26, 27, 28, 30, 31, 31, 30, 30, 30, 30, 31, 30, 29, 28, 26, 24, 23, 22, 23, 23, 24, 23, 22, 19, 17, 14, 12, 11, 11, 12, 12, 13, 13, 13, 13, 12, 12, 12, 11, 11, 10, 10, 9, 9, 9, 9, 9, 9, 9, 8, 8, 7, 8, 8, 9, 10, 10, 10, 10, 10, 10, 11, 12, 13, 14, 14, 14, 13, 13, 13, 13, 14, 15, 16, 15, 15, 14, 13, 13, 12, 11, 10, 10, 9, 9, 10, 10, 10, 10, 10, 9, 8, 8, 8, 9, 10, 11, 12, 13, 13, 13, 13, 12, 12, 12, 12, 13, 14, 15, 15, 16, 16, 17, 17, 18, 18, 19, 18, 17, 16, 15, 15, 15, 16, 17, 18, 18, 18, 17, 15, 13, 11, 11, 11, 12, 13, 14, 14, 14, 13, 13, 12, 12, 12, 12, 12, 11, 10, 10, 9, 9, 9, 10, 10, 10, 10, 9, 9, 8, 7, 6, 5, 4, 4, 3, 3, 2, 2, 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, 0, 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, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 5, 6, 7, 8, 8, 9, 9, 10, 10, 10, 10, 10, 9, 8, 7, 7, 8, 9, 12, 14, 16, 16, 16, 15, 14, 13, 12, 12, 13, 14, 14, 14, 14, 13, 12, 11, 10, 9, 8, 8, 8, 9, 10, 10, 10, 10, 9, 8, 7, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 9, 9, 9, 8, 7, 6, 6, 6, 6, 6, 7, 7, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 11, 11, 12, 12, 12, 12, 11, 9, 8, 7, 7, 7, 8, 9, 9, 9, 9, 8, 6, 5, 4, 3, 3, 3, 4, 4, 4, 3, 2, 0, 0, 0, 1, 3, 5, 6, 6, 5, 3, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 3, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 6, 6, 6, 5, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 9, 11, 11, 12, 12, 12, 12, 13, 14, 15, 15, 16, 15, 15, 16, 17, 18, 20, 21, 22, 23, 23, 22, 22, 22, 22, 22, 22, 23, 23, 22, 22, 22, 21, 21, 21, 22, 22, 22, 21, 20, 19, 18, 17, 17, 18, 18, 17, 17, 16, 15, 15, 16, 16, 17, 16, 15, 14, 12, 11, 11, 11, 12, 12, 13, 12, 12, 10, 9, 8, 8, 8, 8, 9, 10, 11, 11, 12, 11, 11, 10, 10, 9, 8, 8, 7, 7, 8, 9, 11, 12, 13, 13, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 9, 9, 9, 9, 8, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 7, 7, 7, 6, 5, 4, 4, 4, 5, 7, 8, 9, 9, 7, 5, 3, 1, 1, 1, 2, 4, 5, 6, 6, 6, 7, 7, 8, 8, 9, 9, 9, 8, 7, 7, 6, 7, 8, 9, 10, 12, 13, 13, 14, 14, 14, 13, 12, 10, 9, 8, 8, 9, 11, 14, 15, 16, 15, 14, 11, 8, 7, 6, 6, 7, 8, 9, 10, 10, 9, 8, 7, 6, 6, 7, 7, 8, 7, 7, 6, 5, 5, 5, 6, 7, 8, 9, 8, 7, 7, 7, 7, 8, 9, 8, 7, 6, 4, 3, 3, 4, 6, 8, 8, 8, 6, 4, 2, 0, 0, 1, 3, 4, 5, 5, 3, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 3, 3, 3, 3, 3, 2, 3, 4, 5, 6, 7, 7, 6, 5, 5, 4, 5, 5, 6, 7, 8, 9, 10, 11, 11, 12, 11, 11, 10, 10, 10, 11, 11, 12, 12, 11, 10, 8, 7, 6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 7, 6, 5, 4, 3, 2, 2, 3, 4, 5, 6, 7, 7, 7, 6, 5, 4, 3, 2, 2, 2, 2, 3, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 6, 7, 8, 9, 11, 12, 12, 12, 12, 11, 11, 10, 10, 10, 10, 11, 12, 12, 13, 13, 14, 14, 15, 16, 17, 18, 19, 21, 22, 24, 25, 25, 25, 25, 24, 24, 24, 26, 29, 32, 35, 39, 41, 43, 44, 44, 44, 44, 43, 43, 43, 43, 43, 42, 40, 38, 36, 33, 31, 30, 28, 27, 25, 24, 23, 22, 22, 21, 21, 21, 20, 18, 17, 15, 13, 13, 14, 15, 17, 20, 21, 21, 20, 18, 16, 14, 14, 14, 15, 16, 18, 19, 19, 19, 19, 18, 18, 17, 16, 15, 15, 16, 17, 18, 18, 17, 16, 15, 13, 13, 13, 13, 15, 16, 17, 18, 18, 18, 18, 17, 17, 17, 16, 16, 15, 15, 14, 13, 12, 11, 11, 11, 12, 13, 14, 15, 15, 15, 14, 13, 12, 12, 11, 11, 11, 11, 11, 11, 11, 11, 10, 9, 8, 8, 7, 8, 8, 9, 9, 9, 8, 8, 7, 7, 7, 7, 8, 8, 9, 9, 9, 10, 10, 10, 10, 9, 8, 8, 8, 8, 9, 10, 11, 10, 10, 9, 8, 8, 8, 9, 10, 10, 11, 10, 10, 9, 9, 8, 9, 9, 10, 11, 11, 12, 12, 12, 13, 14, 15, 16, 17, 18, 18, 18, 17, 17, 16, 16, 15, 15, 15, 15, 15, 15, 15, 15, 14, 14, 14, 13, 13, 12, 11, 10, 10, 10, 10, 10, 10, 10, 9, 8, 6, 5, 4, 4, 4, 5, 6, 7, 7, 8, 7, 6, 5, 3, 2, 2, 1, 1, 2, 2, 3, 3, 4, 4, 3, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 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, 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, 0, 0, 0, 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, 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, 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, 1, 2, 3, 3, 3, 3, 2, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 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, 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, 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, 1, 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, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 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, 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, 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, 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, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 1, 2, 3, 4, 3, 2, 1, 0, 0, 0, 1, 1, 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, 1, 1, 1, 2, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 2, 1, 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, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 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, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 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, 1, 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, 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, 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, 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, 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, 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, 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, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 2, 2, 1, 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, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
"peakG": [1606, 1612, 1623, 1640, 1662, 1687, 1705, 1711, 1707, 1698, 1689, 1681, 1673, 1665, 1655, 1643, 1631, 1620, 1612, 1609, 1610, 1615, 1623, 1637, 1658, 1691, 1738, 1802, 1884, 1987, 2109, 2249, 2410, 2589, 2789, 3010, 3254, 3522, 3815, 4132, 4472, 4831, 5205, 5589, 5975, 6356, 6726, 7076, 7403, 7703, 7974, 8217, 8427, 8600, 8730, 8811, 8840, 8818, 8749, 8642, 8504, 8340, 8153, 7941, 7704, 7443, 7164, 6875, 6585, 6300, 6024, 5754, 5484, 5207, 4919, 4618, 4309, 3997, 3690, 3393, 3111, 2843, 2589, 2348, 2120, 1905, 1704, 1520, 1355, 1210, 1085, 979, 892, 819, 758, 708, 666, 630, 599, 573, 549, 526, 505, 484, 462, 441, 418, 395, 370, 343, 315, 287, 259, 231, 204, 179, 155, 132, 112, 93, 76, 62, 50, 40, 33, 28, 24, 22, 21, 20, 20, 19, 20, 20, 19, 19, 19, 18, 17, 16, 15, 14, 12, 11, 10, 10, 10, 10, 9, 9, 8, 7, 6, 4, 3, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 3, 5, 7, 8, 9, 9, 9, 9, 9, 9, 10, 11, 11, 11, 11, 10, 9, 8, 8, 9, 10, 10, 11, 10, 9, 7, 6, 6, 6, 8, 9, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 7, 6, 5, 3, 3, 2, 2, 1, 1, 0, 0, 0, 1, 3, 6, 8, 10, 11, 12, 11, 10, 10, 9, 9, 10, 11, 12, 13, 15, 17, 19, 21, 24, 25, 26, 27, 26, 26, 25, 26, 26, 27, 27, 26, 24, 21, 18, 14, 10, 7, 6, 4, 4, 4, 6, 8, 10, 13, 16, 19, 22, 24, 25, 26, 26, 27, 28, 31, 40, 55, 81, 121, 177, 250, 340, 444, 559, 675, 785, 880, 949, 985, 983, 944, 871, 769, 650, 523, 399, 285, 189, 113, 59, 25, 6, 0, 0, 0, 4, 7, 10, 12, 14, 15, 16, 15, 14, 14, 16, 20, 30, 46, 73, 111, 164, 233, 315, 409, 509, 606, 692, 757, 792, 793, 757, 688, 594, 485, 372, 264, 172, 100, 49, 18, 3, 0, 0, 0, 1, 0, 0, 0, 0, 2, 3, 4, 3, 2, 1, 0, 0, 1, 2, 4, 6, 8, 10, 12, 13, 14, 14, 13, 11, 8, 6, 4, 3, 4, 5, 7, 10, 13, 16, 18, 19, 20, 20, 21, 22, 23, 25, 28, 31, 34, 36, 37, 37, 35, 32, 28, 24, 20, 17, 17, 19, 23, 28, 34, 38, 41, 42, 40, 36, 31, 25, 20, 16, 12, 10, 11, 17, 31, 58, 102, 163, 244, 339, 443, 546, 634, 696, 721, 705, 651, 567, 469, 375, 304, 268, 277, 328, 413, 517, 622, 711, 766, 778, 745, 671, 567, 448, 329, 224, 140, 80, 40, 18, 7, 3, 4, 7, 12, 17, 22, 26, 28, 28, 27, 24, 21, 19, 17, 17, 18, 21, 25, 30, 34, 36, 36, 35, 32, 29, 27, 26, 27, 29, 32, 33, 33, 32, 32, 37, 55, 94, 163, 267, 407, 572, 749, 914, 1044, 1117, 1121, 1051, 919, 742, 549, 364, 211, 100, 33, 3, 0, 0, 2, 3, 2, 0, 0, 0, 0, 2, 4, 6, 7, 8, 9, 8, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 2, 4, 7, 10, 13, 16, 17, 17, 15, 13, 11, 9, 6, 3, 0, 0, 2, 21, 64, 139, 250, 392, 553, 715, 855, 948, 977, 934, 825, 669, 490, 317, 175, 75, 19, 0, 0, 1, 4, 4, 1, 0, 0, 0, 4, 6, 7, 7, 5, 3, 1, 0, 0, 1, 2, 4, 6, 8, 10, 10, 10, 8, 6, 3, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 5, 9, 13, 18, 22, 24, 26, 26, 25, 23, 22, 22, 21, 19, 17, 18, 25, 48, 93, 169, 275, 405, 543, 670, 763, 805, 787, 713, 594, 451, 308, 184, 91, 33, 5, 0, 0, 1, 2, 1, 0, 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, 1, 3, 4, 6, 9, 12, 16, 22, 28, 35, 42, 48, 50, 50, 46, 39, 31, 22, 14, 10, 9, 10, 14, 19, 22, 25, 25, 25, 23, 21, 20, 18, 17, 17, 17, 18, 18, 18, 16, 12, 8, 5, 10, 28, 66, 127, 210, 308, 407, 492, 547, 561, 530, 459, 362, 256, 158, 82, 31, 6, 0, 0, 2, 3, 2, 2, 3, 7, 14, 23, 32, 40, 46, 48, 46, 40, 32, 23, 16, 12, 12, 17, 24, 30, 35, 36, 33, 27, 20, 13, 7, 4, 3, 4, 8, 12, 18, 25, 32, 39, 45, 49, 50, 48, 46, 43, 42, 43, 44, 40, 29, 12, 0, 0, 47, 160, 353, 619, 930, 1238, 1484, 1618, 1609, 1458, 1195, 875, 559, 297, 119, 24, 0, 0, 7, 12, 9, 2, 0, 0, 0, 3, 5, 6, 4, 2, 0, 0, 0, 0, 0, 1, 4, 8, 13, 17, 21, 23, 22, 20, 17, 13, 9, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 11, 17, 23, 27, 28, 27, 24, 18, 12, 7, 3, 2, 4, 8, 13, 19, 24, 28, 30, 31, 31, 28, 25, 22, 20, 18, 19, 22, 25, 28, 30, 29, 27, 23, 18, 14, 11, 11, 13, 18, 23, 29, 32, 33, 31, 28, 25, 23, 23, 27, 34, 42, 50, 55, 57, 55, 49, 43, 38, 35, 37, 42, 48, 54, 58, 58, 53, 44, 33, 23, 15, 11, 12, 18, 28, 38, 47, 53, 54, 50, 41, 30, 20, 14, 14, 21, 31, 41, 45, 41, 34, 34, 59, 122, 234, 390, 572, 749, 886, 951, 927, 816, 638, 428, 229, 77, 4, 24, 133, 312, 527, 736, 897, 976, 958, 847, 671, 469, 279, 133, 40, 0, 0, 1, 15, 24, 25, 19, 8, 0, 0, 23, 91, 209, 375, 568, 755, 897, 960, 927, 805, 623, 420, 237, 102, 25, 0, 0, 4, 10, 9, 3, 0, 0, 0, 0, 3, 4, 6, 8, 11, 14, 17, 19, 18, 16, 13, 10, 10, 12, 16, 22, 28, 33, 36, 36, 34, 30, 25, 19, 14, 9, 7, 7, 9, 13, 18, 22, 25, 24, 21, 17, 11, 6, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 3, 5, 7, 9, 11, 12, 12, 12, 10, 8, 5, 2, 0, 0, 1, 5, 11, 18, 25, 31, 33, 32, 28, 22, 15, 10, 9, 13, 22, 35, 47, 55, 59, 56, 47, 35, 22, 11, 4, 2, 7, 17, 30, 43, 54, 61, 62, 56, 46, 32, 19, 9, 6, 10, 22, 35, 41, 34, 13, 0, 0, 62, 219, 476, 812, 1171, 1480, 1664, 1678, 1516, 1215, 843, 478, 185, 10, 0, 55, 247, 507, 787, 1032, 1191, 1228, 1136, 938, 680, 422, 210, 71, 4, 0, 0, 12, 15, 8, 0, 0, 0, 6, 18, 29, 37, 40, 39, 34, 27, 19, 12, 9, 10, 17, 28, 41, 52, 60, 63, 60, 53, 44, 37, 34, 35, 41, 50, 59, 68, 73, 75, 72, 67, 60, 53, 46, 40, 35, 34, 37, 44, 52, 55, 47, 25, 0, 0, 27, 146, 361, 660, 997, 1304, 1510, 1561, 1443, 1181, 834, 480, 190, 17, 0, 80, 275, 516, 745, 912, 979, 936, 797, 600, 389, 208, 81, 14, 0, 0, 12, 20, 20, 16, 13, 14, 19, 27, 34, 40, 43, 45, 44, 43, 39, 35, 30, 26, 22, 18, 15, 13, 13, 17, 25, 34, 37, 28, 7, 0, 0, 69, 231, 487, 806, 1127, 1375, 1485, 1427, 1216, 907, 577, 295, 103, 7, 0, 0, 16, 22, 15, 2, 0, 0, 0, 8, 13, 15, 12, 8, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 8, 12, 16, 17, 16, 13, 8, 4, 1, 1, 4, 11, 20, 30, 39, 45, 48, 47, 41, 31, 21, 10, 2, 0, 1, 10, 23, 40, 55, 67, 73, 71, 62, 50, 38, 31, 32, 41, 55, 70, 77, 71, 50, 21, 0, 0, 42, 135, 274, 438, 593, 704, 742, 699, 585, 431, 272, 139, 50, 5, 0, 0, 8, 18, 27, 35, 40, 35, 19, 0, 0, 29, 137, 328, 587, 870, 1116, 1265, 1276, 1145, 903, 607, 322, 103, 0, 0, 96, 278, 494, 694, 831, 876, 818, 675, 487, 296, 142, 43, 0, 0, 3, 14, 19, 18, 13, 10, 9, 8, 8, 8, 9, 13, 21, 32, 42, 48, 46, 34, 16, 0, 0, 16, 72, 164, 281, 401, 495, 541, 526, 453, 343, 223, 117, 43, 5, 0, 0, 7, 12, 13, 12, 11, 12, 15, 18, 21, 23, 26, 29, 34, 38, 41, 39, 30, 13, 0, 0, 21, 97, 221, 381, 544, 671, 729, 701, 595, 440, 276, 137, 44, 0, 0, 0, 11, 16, 13, 8, 4, 2, 3, 4, 4, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 7, 11, 15, 18, 18, 17, 14, 11, 7, 5, 2, 1, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 3, 8, 15, 23, 32, 39, 43, 43, 41, 38, 34, 32, 31, 31, 32, 32, 30, 28, 24, 21, 19, 19, 21, 24, 27, 30, 31, 29, 24, 18, 12, 6, 1, 0, 0, 1, 5, 10, 15, 20, 23, 23, 21, 17, 10, 4, 0, 0, 4, 17, 34, 49, 55, 48, 27, 2, 0, 18, 100, 240, 424, 614, 767, 842, 818, 703, 528, 337, 173, 60, 3, 0, 0, 15, 28, 36, 41, 46, 48, 47, 40, 27, 13, 2, 0, 7, 22, 42, 58, 64, 55, 34, 8, 0, 11, 72, 181, 325, 476, 599, 662, 647, 556, 408, 238, 84, 0, 0, 88, 300, 587, 894, 1149, 1287, 1274, 1113, 850, 555, 294, 110, 13, 0, 0, 7, 20, 25, 25, 18, 3, 0, 0, 36, 162, 379, 665, 967, 1210, 1326, 1282, 1089, 802, 496, 240, 72, 0, 0, 3, 20, 23, 14, 1, 0, 0, 3, 10, 14, 13, 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, 2, 4, 5, 6, 6, 4, 3, 1, 0, 0, 0, 0, 0, 1, 4, 9, 14, 18, 22, 23, 23, 21, 19, 18, 17, 15, 14, 12, 10, 10, 10, 12, 15, 19, 21, 22, 21, 19, 16, 13, 10, 8, 7, 6, 8, 10, 14, 18, 23, 26, 27, 27, 25, 22, 21, 21, 23, 28, 33, 38, 42, 42, 41, 37, 34, 32, 32, 36, 43, 51, 58, 61, 59, 51, 38, 23, 10, 1, 1, 9, 24, 44, 65, 81, 89, 87, 75, 56, 33, 14, 3, 5, 21, 46, 69, 80, 71, 44, 10, 0, 27, 129, 306, 535, 774, 968, 1069, 1049, 914, 696, 443, 209, 39, 0, 6, 160, 408, 704, 987, 1189, 1258, 1175, 958, 664, 362, 122, 0, 0, 106, 307, 542, 751, 885, 912, 825, 647, 420, 198, 33, 0, 19, 191, 453, 751, 1013, 1174, 1192, 1062, 825, 546, 292, 110, 13, 0, 0, 8, 16, 16, 12, 8, 3, 0, 0, 0, 54, 167, 339, 546, 741, 873, 904, 824, 656, 448, 251, 103, 19, 0, 0, 8, 15, 13, 5, 0, 0, 0, 2, 8, 12, 13, 13, 12, 9, 6, 3, 1, 0, 0, 0, 1, 4, 6, 8, 8, 8, 6, 3, 1, 0, 0, 0, 2, 6, 10, 13, 14, 12, 9, 6, 3, 0, 0, 0, 0, 0, 1, 3, 4, 5, 5, 4, 2, 1, 3, 7, 13, 22, 31, 40, 45, 42, 30, 11, 0, 0, 29, 117, 254, 419, 574, 679, 703, 639, 505, 340, 183, 67, 4, 0, 1, 24, 44, 53, 52, 43, 32, 20, 11, 4, 1, 0, 3, 7, 13, 17, 21, 21, 19, 14, 9, 3, 0, 1, 8, 20, 35, 50, 58, 52, 29, 0, 0, 7, 97, 261, 482, 716, 902, 990, 952, 800, 578, 347, 158, 40, 0, 0, 6, 18, 18, 9, 0, 0, 0, 6, 12, 13, 10, 5, 1, 0, 2, 7, 11, 14, 14, 13, 9, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 9, 14, 18, 19, 18, 14, 10, 6, 4, 5, 9, 13, 17, 18, 16, 11, 5, 1, 0, 4, 14, 28, 43, 56, 62, 59, 49, 34, 18, 5, 0, 4, 14, 28, 42, 50, 48, 36, 17, 0, 0, 15, 73, 165, 276, 381, 453, 472, 432, 346, 237, 134, 57, 13, 0, 0, 0, 1, 6, 13, 23, 27, 19, 0, 0, 2, 90, 264, 513, 791, 1030, 1160, 1145, 987, 735, 458, 222, 66, 0, 0, 2, 21, 27, 22, 14, 12, 15, 21, 25, 23, 17, 8, 1, 0, 0, 5, 11, 16, 19, 21, 21, 19, 17, 14, 12, 10, 8, 6, 5, 3, 1, 0, 0, 0, 1, 4, 8, 12, 14, 15, 14, 10, 6, 2, 0, 0, 2, 11, 23, 38, 51, 61, 64, 59, 47, 32, 17, 8, 7, 15, 31, 51, 69, 78, 72, 52, 22, 0, 0, 29, 113, 240, 388, 521, 605, 616, 551, 430, 287, 155, 58, 6, 0, 0, 16, 37, 58, 77, 88, 82, 56, 17, 0, 0, 90, 274, 534, 823, 1069, 1205, 1189, 1024, 753, 447, 178, 7, 0, 49, 236, 474, 703, 867, 924, 861, 697, 475, 248, 68, 0, 0, 114, 324, 577, 815, 977, 1022, 936, 748, 509, 281, 110, 14, 0, 0, 17, 32, 32, 23, 12, 3, 0, 0, 4, 12, 21, 32, 43, 50, 52, 49, 41, 30, 18, 8, 1, 0, 3, 11, 21, 32, 39, 41, 38, 31, 22, 13, 6, 0, 0, 0, 7, 21, 37, 46, 39, 15, 0, 0, 47, 204, 456, 763, 1052, 1244, 1280, 1150, 893, 584, 302, 102, 1, 0, 0, 23, 34, 27, 12, 0, 0, 0, 0, 7, 16, 26, 39, 52, 63, 68, 65, 53, 37, 20, 8, 4, 8, 20, 37, 55, 69, 76, 75, 65, 49, 30, 14, 4, 3, 10, 26, 45, 62, 74, 76, 70, 57, 41, 25, 13, 7, 8, 15, 29, 46, 59, 62, 47, 15, 0, 0, 56, 220, 473, 772, 1047, 1221, 1241, 1102, 846, 546, 278, 92, 1, 0, 0, 16, 19, 11, 1, 0, 0, 2, 0, 0, 1, 41, 128, 258, 409, 543, 620, 618, 536, 400, 248, 119, 34, 0, 0, 2, 11, 13, 7, 0, 0, 0, 0, 4, 6, 5, 3, 1, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 3, 6, 9, 12, 13, 13, 11, 8, 4, 1, 0, 0, 2, 8, 16, 23, 29, 32, 31, 26, 19, 12, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 11, 17, 23, 28, 29, 27, 22, 15, 8, 3, 2, 6, 14, 25, 36, 44, 46, 44, 36, 27, 19, 14, 14, 18, 23, 28, 30, 29, 25, 18, 12, 7, 5, 7, 12, 19, 28, 36, 42, 45, 44, 39, 32, 24, 17, 13, 14, 19, 27, 35, 40, 41, 38, 32, 26, 23, 22, 26, 33, 42, 53, 61, 63, 52, 27, 0, 0, 9, 102, 268, 487, 712, 885, 955, 900, 739, 518, 296, 123, 20, 0, 0, 18, 43, 59, 67, 70, 70, 67, 58, 45, 32, 22, 20, 29, 46, 66, 81, 82, 64, 30, 0, 0, 33, 159, 363, 612, 851, 1018, 1063, 974, 773, 512, 255, 61, 0, 0, 139, 364, 623, 856, 1006, 1032, 924, 708, 439, 186, 13, 0, 56, 265, 542, 816, 1015, 1085, 1011, 819, 565, 318, 129, 21, 0, 0, 15, 28, 26, 16, 5, 0, 1, 5, 7, 7, 4, 3, 6, 12, 22, 32, 39, 41, 38, 30, 21, 12, 5, 1, 4, 14, 28, 44, 51, 42, 17, 0, 0, 40, 181, 406, 679, 936, 1106, 1137, 1021, 791, 517, 266, 90, 1, 0, 0, 21, 30, 24, 12, 3, 3, 9, 18, 26, 29, 29, 28, 27, 27, 27, 28, 27, 27, 25, 25, 26, 29, 34, 40, 46, 52, 54, 52, 46, 38, 29, 21, 17, 17, 20, 26, 33, 38, 42, 43, 42, 39, 34, 30, 26, 24, 25, 29, 34, 37, 32, 18, 0, 0, 6, 66, 175, 320, 471, 590, 642, 612, 509, 364, 215, 96, 23, 0, 0, 4, 11, 11, 5, 0, 0, 0, 0, 2, 3, 2, 1, 1, 2, 4, 7, 9, 10, 9, 6, 4, 3, 3, 5, 8, 11, 13, 14, 14, 14, 13, 12, 12, 12, 13, 14, 14, 13, 11, 8, 5, 2, 0, 0, 0, 2, 8, 15, 23, 30, 35, 37, 36, 33, 28, 25, 24, 26, 30, 34, 37, 38, 37, 31, 24, 15, 7, 1, 0, 2, 8, 17, 27, 34, 39, 39, 34, 28, 20, 15, 13, 19, 31, 50, 69, 84, 86, 71, 41, 5, 0, 8, 89, 232, 416, 601, 739, 791, 744, 611, 432, 252, 110, 24, 0, 0, 14, 38, 60, 80, 96, 105, 100, 77, 40, 4, 0, 30, 131, 289, 477, 652, 768, 792, 718, 563, 368, 179, 38, 0, 2, 113, 286, 481, 652, 754, 759, 661, 485, 276, 93, 0, 0, 114, 332, 592, 829, 978, 1002, 895, 694, 454, 237, 83, 4, 0, 0, 18, 26, 20, 8, 0, 0, 0, 3, 11, 19, 25, 28, 29, 26, 21, 14, 8, 4, 3, 6, 12, 20, 27, 33, 36, 37, 34, 29, 23, 19, 16, 16, 18, 23, 30, 39, 51, 60, 59, 43, 14, 0, 0, 53, 207, 445, 727, 988, 1154, 1177, 1048, 807, 523, 268, 89, 0, 0, 0, 18, 25, 17, 4, 0, 0, 0, 2, 5, 6, 6, 8, 11, 15, 19, 22, 21, 17, 12, 7, 4, 3, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 4, 6, 7, 8, 7, 6, 3, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 6, 14, 26, 37, 45, 47, 42, 32, 19, 8, 2, 3, 14, 30, 49, 67, 78, 80, 73, 58, 40, 23, 11, 6, 9, 17, 28, 37, 43, 43, 37, 27, 17, 8, 3, 2, 6, 14, 25, 39, 54, 63, 61, 41, 9, 0, 0, 71, 240, 484, 758, 993, 1120, 1101, 941, 690, 419, 193, 48, 0, 0, 9, 32, 45, 48, 47, 48, 49, 48, 42, 32, 22, 17, 21, 35, 55, 75, 89, 90, 74, 44, 10, 0, 4, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 73, 201, 371, 550, 693, 759, 729, 605, 417, 212, 44, 0, 4, 174, 449, 772, 1066, 1252, 1281, 1147, 890, 585, 308, 111, 8, 0, 0, 14, 22, 18, 9, 3, 0, 0, 0, 0, 36, 114, 234, 376, 507, 589, 596, 527, 401, 256, 127, 39, 0, 0, 3, 18, 26, 26, 22, 18, 16, 17, 19, 21, 23, 24, 24, 24, 24, 23, 21, 17, 13, 9, 6, 6, 9, 15, 23, 32, 39, 43, 42, 36, 28, 18, 10, 5, 3, 6, 13, 21, 31, 40, 44, 40, 27, 7, 0, 0, 36, 125, 255, 400, 524, 590, 578, 492, 358, 215, 97, 23, 0, 0, 4, 12, 14, 10, 5, 4, 5, 9, 12, 14, 14, 14, 14, 16, 21, 28, 35, 38, 31, 12, 0, 0, 26, 129, 299, 512, 720, 867, 911, 839, 671, 457, 251, 95, 9, 0, 0, 27, 46, 49, 40, 25, 12, 5, 7, 15, 29, 45, 61, 75, 83, 85, 78, 65, 47, 29, 15, 10, 13, 26, 44, 64, 81, 88, 81, 60, 29, 0, 0, 20, 105, 241, 406, 562, 668, 695, 632, 495, 316, 140, 9, 0, 19, 186, 439, 726, 980, 1134, 1146, 1015, 779, 505, 260, 88, 1, 0, 0, 25, 45, 57, 59, 51, 30, 0, 0, 0, 89, 275, 543, 842, 1098, 1237, 1217, 1044, 770, 471, 221, 59, 0, 0, 6, 25, 28, 17, 3, 0, 0, 2, 9, 12, 11, 7, 3, 0, 0, 6, 15, 26, 31, 25, 8, 0, 0, 36, 144, 311, 510, 692, 806, 817, 722, 550, 351, 175, 55, 0, 0, 0, 14, 18, 12, 2, 0, 0, 0, 2, 5, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 3, 5, 6, 6, 6, 4, 2, 0, 0, 0, 0, 4, 9, 13, 17, 17, 15, 11, 7, 2, 0, 0, 0, 2, 5, 10, 13, 15, 13, 10, 5, 2, 3, 8, 16, 26, 36, 46, 55, 58, 54, 37, 10, 0, 0, 45, 172, 365, 592, 800, 932, 948, 844, 651, 424, 219, 75, 2, 0, 0, 16, 25, 23, 15, 9, 7, 8, 9, 8, 5, 2, 0, 2, 7, 14, 21, 28, 34, 38, 41, 43, 43, 41, 38, 35, 36, 40, 48, 53, 48, 27, 0, 0, 9, 113, 304, 562, 836, 1054, 1153, 1105, 923, 662, 392, 174, 40, 0, 0, 8, 22, 20, 8, 0, 0, 4, 20, 36, 48, 53, 55, 54, 52, 51, 50, 47, 43, 38, 33, 31, 31, 36, 43, 51, 57, 61, 61, 56, 48, 39, 30, 24, 23, 25, 31, 39, 48, 54, 57, 55, 49, 39, 27, 16, 7, 3, 3, 6, 13, 23, 34, 44, 47, 37, 15, 0, 0, 33, 148, 334, 561, 778, 926, 961, 873, 685, 447, 217, 45, 0, 0, 123, 329, 568, 788, 934, 968, 882, 701, 477, 265, 107, 18, 0, 0, 10, 17, 12, 3, 0, 0, 11, 24, 34, 38, 36, 30, 21, 13, 7, 2, 0, 0, 2, 9, 20, 32, 44, 52, 55, 52, 43, 31, 19, 8, 3, 3, 9, 20, 34, 46, 55, 56, 50, 37, 22, 8, 1, 2, 12, 30, 50, 68, 80, 82, 74, 60, 43, 29, 20, 18, 25, 36, 52, 68, 83, 90, 85, 62, 25, 0, 0, 44, 188, 416, 691, 951, 1126, 1167, 1062, 843, 566, 297, 91, 0, 0, 64, 241, 469, 699, 877, 955, 910, 755, 536, 311, 133, 26, 0, 0, 9, 20, 19, 10, 1, 0, 1, 6, 10, 11, 9, 6, 4, 6, 12, 23, 38, 49, 49, 31, 2, 0, 0, 91, 278, 542, 834, 1079, 1207, 1179, 1003, 733, 444, 204, 52, 0, 0, 7, 24, 26, 14, 1, 0, 0, 0, 4, 6, 5, 3, 3, 6, 11, 15, 18, 17, 13, 8, 3, 0, 0, 3, 10, 19, 31, 42, 50, 50, 38, 17, 0, 0, 22, 105, 239, 406, 569, 684, 720, 665, 535, 368, 206, 82, 10, 0, 0, 18, 40, 54, 59, 54, 39, 16, 0, 0, 27, 109, 240, 398, 549, 654, 683, 628, 506, 351, 201, 86, 18, 0, 0, 12, 30, 46, 58, 63, 56, 32, 0, 0, 11, 125, 340, 636, 956, 1224, 1363, 1332, 1137, 827, 485, 192, 10, 0, 56, 239, 461, 663, 795, 826, 755, 606, 419, 242, 106, 26, 0, 0, 6, 12, 11, 4, 0, 0, 0, 1, 6, 9, 13, 16, 21, 25, 28, 27, 23, 17, 9, 2, 0, 0, 4, 11, 19, 25, 28, 27, 22, 16, 9, 3, 0, 0, 1, 7, 16, 25, 33, 36, 36, 31, 23, 15, 9, 6, 7, 12, 21, 33, 45, 49, 40, 17, 0, 0, 32, 156, 360, 614, 863, 1042, 1099, 1017, 821, 568, 323, 135, 27, 0, 0, 9, 18, 15, 5, 0, 0, 5, 15, 21, 22, 17, 10, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 9, 14, 21, 26, 30, 32, 32, 29, 25, 20, 15, 12, 10, 11, 13, 15, 16, 15, 13, 11, 7, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 5, 5, 5, 3, 2, 0, 0, 0, 0, 2, 4, 7, 10, 13, 16, 17, 18, 18, 17, 15, 12, 10, 7, 6, 5, 4, 4, 4, 5, 6, 8, 11, 13, 14, 14, 12, 9, 5, 2, 0, 0, 1, 5, 10, 14, 17, 18, 16, 12, 8, 4, 1, 0, 0, 1, 7, 17, 29, 40, 49, 51, 47, 36, 23, 12, 6, 7, 16, 30, 45, 55, 56, 45, 24, 1, 0, 7, 63, 160, 286, 414, 515, 561, 541, 462, 345, 220, 114, 41, 3, 0, 0, 12, 25, 37, 46, 51, 46, 30, 8, 0, 4, 59, 166, 315, 477, 616, 693, 685, 592, 437, 258, 100, 0, 0, 56, 204, 395, 586, 730, 791, 755, 633, 460, 280, 131, 37, 0, 0, 4, 13, 14, 7, 0, 0, 0, 8, 18, 25, 27, 25, 19, 12, 6, 4, 3, 4, 5, 6, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 8, 10, 11, 10, 7, 5, 2, 1, 0, 0, 0, 0, 2, 5, 9, 13, 16, 17, 16, 13, 11, 11, 12, 15, 18, 21, 22, 21, 18, 14, 11, 8, 7, 5, 5, 4, 3, 1, 0, 0, 0, 0, 1, 3, 5, 8, 10, 10, 10, 9, 9, 10, 12, 16, 20, 23, 25, 25, 23, 20, 16, 12, 8, 5, 3, 1, 1, 3, 5, 9, 12, 15, 16, 15, 12, 9, 6, 4, 4, 7, 13, 22, 30, 33, 27, 13, 0, 0, 14, 78, 187, 327, 470, 583, 633, 609, 516, 382, 240, 120, 39, 0, 0, 3, 16, 24, 26, 26, 26, 27, 29, 31, 31, 29, 27, 25, 23, 22, 20, 18, 14, 9, 4, 1, 0, 0, 2, 8, 13, 19, 22, 22, 19, 14, 8, 2, 0, 0, 6, 17, 30, 43, 53, 55, 46, 27, 5, 0, 0, 44, 128, 241, 362, 460, 509, 495, 422, 311, 192, 91, 25, 0, 0, 9, 29, 46, 56, 57, 47, 27, 4, 0, 5, 62, 168, 313, 470, 605, 681, 680, 601, 467, 311, 169, 66, 9, 0, 2, 21, 41, 56, 62, 58, 39, 10, 0, 0, 61, 220, 465, 760, 1040, 1232, 1280, 1170, 934, 638, 356, 144, 25, 0, 0, 12, 23, 20, 8, 0, 0, 0, 1, 7, 12, 17, 21, 25, 27, 27, 25, 22, 20, 21, 26, 36, 47, 57, 62, 62, 56, 45, 33, 23, 17, 16, 20, 28, 39, 51, 62, 72, 77, 77, 71, 60, 45, 31, 20, 15, 17, 26, 40, 55, 65, 65, 50, 24, 0, 0, 23, 118, 274, 469, 662, 804, 856, 802, 658, 466, 275, 123, 30, 0, 0, 5, 14, 15, 11, 7, 7, 11, 17, 21, 21, 18, 15, 13, 14, 18, 25, 32, 36, 32, 19, 1, 0, 1, 54, 159, 306, 470, 613, 694, 691, 604, 458, 293, 148, 49, 0, 0, 0, 10, 13, 9, 2, 0, 0, 0, 1, 3, 5, 6, 8, 10, 12, 12, 10, 7, 4, 1, 0, 0, 2, 7, 13, 19, 24, 26, 26, 22, 16, 10, 4, 0, 0, 2, 7, 14, 20, 25, 26, 23, 18, 12, 8, 6, 7, 13, 21, 29, 37, 41, 37, 25, 7, 0, 0, 35, 118, 242, 387, 520, 608, 624, 565, 447, 302, 166, 65, 9, 0, 0, 10, 18, 19, 14, 8, 4, 2, 1, 1, 1, 2, 5, 11, 19, 27, 32, 32, 28, 21, 13, 8, 6, 9, 17, 28, 42, 55, 59, 50, 26, 0, 0, 19, 133, 335, 602, 884, 1112, 1223, 1187, 1013, 751, 470, 232, 73, 0, 0, 1, 18, 24, 18, 9, 3, 3, 7, 11, 12, 10, 8, 9, 12, 17, 21, 23, 21, 16, 10, 4, 0, 0, 2, 8, 16, 25, 32, 35, 30, 19, 4, 0, 0, 34, 102, 198, 305, 399, 456, 460, 409, 319, 214, 117, 46, 6, 0, 0, 8, 19, 28, 32, 31, 23, 9, 0, 0, 28, 96, 202, 330, 453, 544, 578, 547, 459, 338, 211, 104, 32, 0, 0, 11, 34, 54, 68, 72, 68, 58, 43, 27, 14, 6, 6, 12, 24, 37, 50, 57, 56, 49, 36, 21, 8, 1, 3, 14, 33, 56, 77, 89, 85, 61, 25, 0, 0, 56, 204, 433, 710, 975, 1162, 1219, 1128, 910, 618, 324, 95, 0, 0, 137, 365, 621, 844, 978, 991, 884, 690, 462, 254, 102, 18, 0, 0, 7, 19, 26, 28, 24, 12, 0, 0, 8, 94, 258, 492, 755, 988, 1129, 1137, 1010, 784, 521, 281, 108, 15, 0, 0, 14, 26, 27, 23, 21, 23, 30, 36, 41, 44, 45, 46, 48, 49, 47, 43, 36, 28, 21, 17, 16, 17, 19, 20, 21, 20, 19, 18, 17, 18, 19, 20, 22, 23, 24, 25, 27, 27, 27, 26, 23, 20, 16, 14, 13, 13, 15, 17, 21, 22, 20, 13, 2, 0, 0, 27, 88, 179, 285, 385, 452, 468, 430, 348, 244, 143, 64, 16, 0, 0, 3, 11, 15, 16, 17, 19, 22, 23, 23, 20, 15, 10, 5, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 6, 7, 6, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 5, 5, 3, 1, 0, 0, 1, 4, 8, 13, 16, 17, 15, 12, 8, 4, 1, 0, 0, 2, 7, 16, 26, 37, 47, 53, 56, 54, 51, 47, 46, 48, 53, 59, 65, 66, 59, 45, 27, 14, 16, 44, 104, 192, 296, 394, 465, 489, 460, 385, 283, 177, 87, 27, 0, 0, 6, 26, 46, 61, 66, 58, 36, 9, 0, 5, 69, 192, 362, 550, 714, 811, 815, 725, 565, 378, 207, 82, 13, 0, 0, 7, 13, 10, 3, 0, 0, 0, 4, 7, 8, 9, 11, 17, 26, 35, 42, 40, 29, 11, 0, 0, 29, 100, 209, 340, 466, 555, 584, 543, 446, 317, 188, 86, 22, 0, 0, 2, 8, 9, 7, 4, 5, 8, 12, 14, 13, 9, 6, 3, 3, 5, 9, 12, 15, 16, 15, 14, 12, 9, 8, 7, 8, 10, 14, 17, 20, 21, 21, 19, 16, 13, 10, 8, 6, 5, 5, 4, 4, 3, 2, 1, 0, 0, 0, 1, 4, 9, 14, 19, 21, 22, 19, 15, 11, 7, 5, 4, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 1, 3, 5, 7, 7, 7, 5, 2, 0, 0, 0, 2, 5, 9, 13, 15, 14, 11, 7, 3, 0, 0, 0, 4, 10, 15, 19, 20, 18, 13, 8, 3, 0, 0, 0, 2, 6, 10, 15, 17, 18, 16, 12, 7, 3, 0, 0, 0, 5, 14, 23, 29, 27, 16, 2, 0, 8, 55, 138, 251, 372, 474, 531, 527, 461, 350, 219, 97, 11, 0, 15, 111, 254, 417, 565, 664, 690, 638, 522, 372, 224, 105, 30, 0, 0, 7, 22, 33, 37, 38, 36, 34, 33, 32, 32, 35, 39, 44, 48, 49, 44, 36, 25, 14, 6, 4, 8, 18, 32, 46, 57, 64, 64, 57, 45, 30, 17, 10, 12, 24, 44, 65, 82, 86, 76, 51, 23, 3, 8, 50, 132, 246, 373, 485, 553, 556, 489, 363, 211, 79, 11, 45, 189, 426, 707, 967, 1142, 1189, 1098, 897, 638, 383, 180, 52, 0, 0, 4, 23, 36, 40, 37, 24, 6, 0, 0, 47, 166, 356, 593, 832, 1012, 1087, 1034, 867, 633, 389, 187, 57, 0, 0, 2, 15, 17, 10, 1, 0, 0, 3, 6, 7, 5, 4, 8, 19, 35, 51, 60, 55, 35, 8, 0, 4, 72, 203, 389, 599, 788, 910, 933, 850, 684, 478, 280, 126, 33, 0, 0, 4, 13, 14, 10, 5, 5, 8, 12, 13, 12, 8, 4, 2, 4, 8, 15, 21, 26, 28, 27, 24, 19, 15, 11, 9, 9, 10, 11, 12, 11, 9, 6, 2, 0, 0, 0, 1, 5, 8, 12, 14, 14, 13, 10, 7, 5, 4, 6, 9, 13, 15, 15, 13, 9, 4, 1, 0, 0, 3, 10, 18, 26, 32, 35, 33, 29, 22, 15, 10, 10, 13, 21, 30, 39, 44, 46, 43, 37, 30, 26, 26, 31, 42, 56, 69, 75, 71, 54, 28, 2, 0, 16, 89, 212, 372, 541, 680, 755, 746, 656, 508, 338, 184, 70, 8, 0, 0, 22, 43, 56, 60, 57, 48, 37, 26, 17, 15, 20, 33, 52, 70, 80, 76, 56, 25, 0, 0, 45, 153, 322, 527, 730, 886, 954, 913, 771, 559, 330, 142, 43, 63, 203, 433, 703, 949, 1113, 1157, 1068, 868, 605, 342, 139, 39, 57, 180, 366, 562, 717, 793, 777, 679, 528, 361, 210, 99, 32, 3, 0, 2, 6, 7, 7, 9, 14, 24, 34, 43, 48, 48, 44, 38, 33, 28, 24, 21, 18, 15, 12, 8, 5, 2, 1, 0, 1, 2, 4, 6, 8, 9, 9, 7, 5, 3, 1, 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, 1, 4, 8, 13, 17, 20, 20, 18, 15, 10, 6, 3, 1, 0, 0, 0, 0, 0, 1, 2, 3, 4, 6, 7, 8, 9, 8, 7, 6, 4, 2, 0, 0, 0, 2, 3, 5, 6, 6, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 10, 15, 18, 19, 18, 16, 13, 11, 10, 9, 10, 10, 9, 7, 5, 2, 0, 0, 0, 0, 2, 4, 6, 8, 9, 11, 12, 12, 13, 15, 17, 20, 24, 29, 34, 37, 36, 29, 16, 2, 0, 5, 44, 114, 209, 315, 408, 465, 473, 429, 345, 242, 143, 66, 18, 0, 0, 4, 12, 18, 21, 22, 22, 21, 20, 18, 16, 17, 22, 29, 39, 48, 55, 56, 51, 41, 29, 18, 11, 11, 18, 30, 45, 58, 67, 70, 68, 61, 54, 47, 44, 46, 53, 65, 79, 91, 97, 92, 74, 49, 25, 18, 43, 111, 223, 366, 516, 638, 701, 683, 585, 428, 256, 120, 65, 120, 281, 517, 773, 986, 1103, 1095, 965, 747, 497, 274, 129, 87, 148, 284, 452, 603, 698, 714, 650, 526, 373, 225, 109, 35, 2, 0, 1, 6, 7, 4, 1, 1, 4, 8, 11, 11, 9, 6, 3, 2, 2, 3, 3, 2, 1, 0, 0, 1, 3, 5, 7, 7, 7, 5, 4, 2, 0, 0, 0, 0, 2, 5, 10, 14, 18, 19, 18, 14, 9, 4, 0, 0, 1, 5, 11, 17, 22, 25, 25, 21, 16, 11, 7, 5, 5, 7, 10, 14, 17, 16, 11, 3, 0, 0, 23, 77, 160, 263, 367, 449, 488, 474, 409, 311, 204, 109, 42, 7, 0, 0, 3, 5, 4, 1, 0, 4, 11, 18, 25, 29, 30, 29, 28, 26, 25, 24, 24, 23, 23, 23, 24, 27, 31, 36, 42, 48, 53, 54, 52, 47, 39, 29, 21, 16, 15, 19, 26, 36, 45, 51, 53, 50, 43, 33, 22, 15, 11, 14, 21, 32, 43, 52, 56, 55, 49, 39, 30, 23, 20, 24, 32, 43, 53, 55, 48, 29, 6, 0, 7, 66, 179, 340, 526, 701, 826, 870, 820, 687, 501, 304, 143, 53, 52, 138, 290, 470, 638, 754, 794, 750, 635, 478, 313, 170, 69, 13, 0, 0, 10, 21, 28, 31, 32, 32, 31, 28, 25, 23, 24, 28, 36, 44, 50, 53, 50, 43, 33, 22, 14, 10, 11, 16, 24, 32, 38, 40, 38, 31, 23, 14, 9, 8, 13, 25, 39, 53, 61, 58, 45, 28, 19, 34, 89, 190, 334, 500, 659, 776, 822, 785, 669, 499, 313, 154, 58, 47, 123, 270, 452, 629, 757, 809, 773, 659, 497, 324, 174, 69, 13, 0, 0, 5, 9, 6, 1, 0, 0, 4, 8, 10, 9, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 9, 12, 14, 14, 13, 11, 8, 5, 2, 1, 1, 3, 5, 9, 13, 16, 18, 18, 16, 13, 9, 5, 2, 2, 4, 8, 14, 21, 28, 34, 38, 40, 40, 39, 37, 35, 32, 30, 27, 24, 21, 19, 16, 14, 13, 13, 15, 18, 22, 26, 30, 34, 35, 35, 32, 29, 25, 21, 19, 19, 19, 21, 22, 23, 23, 22, 21, 21, 20, 19, 18, 16, 14, 11, 9, 7, 7, 7, 9, 11, 13, 14, 14, 13, 12, 11, 10, 9, 9, 10, 12, 14, 17, 19, 20, 19, 16, 13, 9, 6, 4, 6, 9, 14, 19, 23, 24, 23, 20, 15, 9, 4, 3, 5, 12, 23, 35, 44, 45, 37, 22, 7, 4, 23, 74, 156, 263, 375, 471, 529, 535, 488, 399, 289, 180, 90, 31, 1, 0, 1, 11, 19, 23, 24, 22, 18, 14, 10, 8, 9, 13, 21, 31, 40, 45, 43, 32, 15, 0, 0, 19, 86, 197, 343, 501, 638, 722, 733, 669, 546, 394, 244, 123, 43, 3, 0, 0, 6, 12, 13, 8, 0, 0, 0, 25, 91, 198, 338, 489, 621, 705, 721, 665, 552, 407, 261, 139, 54, 10, 0, 0, 9, 16, 17, 15, 12, 10, 10, 12, 14, 16, 16, 16, 14, 12, 10, 9, 9, 8, 9, 9, 10, 10, 11, 12, 13, 12, 11, 9, 6, 4, 2, 1, 3, 6, 10, 15, 18, 19, 18, 15, 12, 9, 7, 8, 10, 14, 18, 22, 24, 24, 22, 18, 13, 8, 5, 5, 10, 19, 31, 42, 48, 46, 36, 23, 14, 23, 58, 126, 222, 334, 441, 521, 553, 531, 460, 356, 242, 139, 62, 17, 0, 0, 3, 12, 19, 25, 29, 32, 31, 27, 20, 12, 7, 6, 10, 19, 29, 38, 40, 34, 20, 4, 0, 13, 66, 163, 300, 457, 607, 717, 759, 719, 605, 441, 268, 129, 60, 83, 198, 383, 600, 800, 939, 987, 935, 796, 604, 400, 222, 94, 22, 0, 0, 4, 9, 7, 2, 0, 0, 0, 1, 3, 4, 3, 2, 0, 0, 0, 0, 2, 6, 10, 15, 20, 23, 25, 25, 25, 24, 24, 24, 25, 27, 30, 33, 37, 40, 42, 44, 43, 42, 40, 37, 35, 32, 30, 28, 26, 24, 22, 20, 18, 17, 16, 16, 16, 16, 17, 18, 20, 23, 27, 32, 37, 40, 41, 40, 37, 32, 27, 23, 20, 18, 18, 18, 19, 19, 18, 16, 13, 10, 8, 6, 6, 7, 10, 14, 17, 19, 20, 18, 15, 12, 9, 7, 7, 9, 11, 13, 15, 15, 13, 9, 6, 3, 1, 0, 0, 0, 1, 3, 6, 8, 10, 11, 11, 11, 13, 15, 19, 23, 26, 29, 30, 28, 23, 13, 1, 0, 2, 39, 115, 232, 378, 530, 656, 730, 733, 664, 540, 388, 240, 121, 43, 4, 0, 0, 5, 7, 4, 0, 0, 0, 0, 2, 4, 4, 3, 2, 1, 1, 3, 7, 10, 14, 16, 17, 16, 14, 12, 10, 10, 10, 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, 1, 5, 12, 21, 31, 40, 47, 51, 50, 47, 41, 36, 32, 31, 33, 36, 40, 43, 44, 44, 41, 38, 34, 31, 28, 25, 23, 20, 18, 15, 13, 11, 10, 9, 9, 10, 10, 11, 11, 10, 10, 9, 8, 8, 7, 7, 7, 6, 6, 7, 7, 8, 8, 8, 6, 4, 2, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 2, 1, 0, 0, 0, 2, 9, 18, 29, 39, 44, 44, 40, 39, 49, 77, 128, 199, 281, 359, 417, 443, 430, 382, 309, 226, 147, 83, 38, 12, 1, 0, 2, 5, 7, 7, 7, 7, 6, 6, 6, 7, 6, 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, 3, 7, 13, 19, 24, 28, 30, 30, 30, 28, 27, 26, 25, 24, 21, 18, 13, 10, 7, 6, 7, 10, 13, 15, 14, 12, 9, 5, 2, 0, 0, 0, 0, 0, 0, 1, 2, 4, 4, 4, 2, 0, 0, 1, 6, 14, 23, 31, 33, 28, 16, 3, 0, 7, 44, 113, 211, 325, 437, 526, 571, 562, 501, 400, 283, 170, 82, 26, 0, 0, 0, 4, 5, 3, 0, 0, 0, 0, 2, 3, 4, 4, 6, 10, 14, 16, 16, 10, 2, 0, 1, 28, 84, 170, 277, 388, 482, 538, 545, 499, 413, 304, 195, 104, 41, 7, 0, 0, 5, 10, 12, 12, 10, 8, 6, 4, 2, 2, 4, 8, 13, 18, 22, 24, 24, 23, 21, 19, 19, 21, 24, 29, 34, 38, 40, 38, 34, 28, 22, 16, 13, 12, 15, 20, 26, 28, 25, 15, 2, 0, 6, 52, 142, 274, 434, 596, 727, 800, 797, 720, 585, 423, 265, 137, 52, 9, 0, 0, 4, 6, 4, 0, 0, 0, 1, 4, 6, 6, 5, 4, 3, 3, 4, 3, 2, 1, 0, 0, 3, 9, 16, 25, 31, 34, 33, 28, 20, 11, 4, 0, 0, 3, 9, 15, 19, 22, 22, 20, 17, 14, 12, 11, 11, 13, 17, 21, 24, 26, 26, 23, 18, 12, 7, 5, 7, 13, 21, 29, 33, 29, 17, 1, 0, 10, 69, 180, 341, 532, 719, 865, 935, 913, 805, 634, 440, 259, 121, 36, 0, 0, 1, 7, 8, 4, 0, 0, 0, 0, 2, 3, 3, 3, 6, 12, 18, 21, 19, 11, 0, 0, 6, 42, 104, 188, 280, 360, 410, 418, 383, 315, 229, 143, 72, 25, 3, 0, 9, 21, 30, 30, 20, 5, 0, 0, 37, 117, 241, 398, 566, 716, 818, 852, 812, 707, 559, 397, 246, 126, 45, 4, 0, 1, 16, 28, 31, 24, 9, 0, 0, 37, 119, 249, 415, 593, 749, 852, 880, 827, 705, 541, 368, 215, 100, 30, 0, 0, 0, 9, 14, 10, 1, 0, 0, 30, 108, 235, 403, 587, 755, 871, 912, 869, 755, 594, 418, 258, 134, 53, 12, 0, 0, 2, 4, 2, 0, 0, 0, 1, 6, 11, 16, 19, 20, 17, 13, 8, 3, 0, 0, 0, 2, 7, 16, 25, 34, 40, 41, 37, 30, 22, 18, 21, 32, 48, 63, 69, 63, 43, 18, 6, 27, 101, 236, 424, 640, 846, 1001, 1073, 1047, 928, 745, 533, 333, 172, 64, 9, 0, 0, 8, 12, 7, 0, 0, 12, 67, 167, 312, 484, 655, 792, 863, 851, 758, 606, 432, 276, 173, 141, 181, 273, 383, 478, 529, 521, 458, 356, 241, 137, 60, 15, 0, 0, 3, 6, 6, 2, 0, 0, 0, 1, 5, 7, 8, 7, 5, 2, 0, 0, 0, 3, 7, 9, 8, 4, 0, 0, 0, 4, 14, 19, 13, 0, 0, 0, 55, 165, 313, 463, 570, 598, 537, 406, 248, 107, 17, 0, 0, 34, 69, 89, 94, 89, 84, 84, 88, 95, 100, 101, 98, 92, 86, 81, 78, 76, 74, 73, 71, 69, 67, 64, 61, 57, 53, 48, 43, 38, 34, 31, 28, 24, 21, 16, 12, 8, 5, 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, 1, 1, 1, 2, 2, 2, 3, 4, 6, 7, 8, 8, 9, 9, 9, 10, 11, 13, 15, 18, 20, 22, 24, 25, 26, 26, 27, 28, 30, 32, 34, 35, 36, 36, 35, 35, 35, 36, 38, 40, 40, 40, 38, 36, 34, 32, 32, 34, 36, 39, 41, 42, 42, 41, 41, 43, 47, 52, 58, 65, 71, 76, 81, 85, 89, 93, 95, 96, 94, 89, 83, 75, 66, 57, 49, 42, 35, 30, 26, 24, 22, 22, 23, 23, 23, 23, 23, 22, 21, 20, 20, 19, 18, 17, 15, 14, 14, 13, 13, 13, 12, 12, 10, 9, 7, 6, 5, 4, 4, 3, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 5, 7, 9, 11, 14, 15, 16, 16, 15, 14, 12, 10, 8, 7, 6, 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, 1, 4, 7, 11, 14, 17, 20, 22, 23, 24, 25, 25, 24, 22, 20, 18, 16, 16, 16, 16, 17, 16, 15, 13, 10, 8, 6, 5, 4, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 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, 4, 6, 7, 9, 10, 11, 11, 11, 11, 9, 7, 5, 3, 1, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 3, 3, 4, 5, 6, 8, 9, 10, 11, 11, 12, 12, 13, 14, 16, 17, 18, 17, 16, 15, 13, 12, 12, 12, 12, 11, 10, 7, 5, 3, 3, 4, 6, 9, 12, 16, 20, 23, 27, 30, 33, 34, 35, 33, 31, 29, 26, 24, 22, 20, 19, 18, 16, 14, 12, 11, 9, 7, 6, 5, 5, 5, 5, 4, 4, 3, 3, 2, 2, 2, 3, 3, 2, 2, 1, 1, 1, 2, 3, 5, 5, 6, 5, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 10, 11, 11, 11, 12, 13, 15, 16, 17, 17, 17, 16, 15, 14, 14, 14, 14, 13, 12, 11, 10, 8, 8, 7, 8, 9, 10, 11, 13, 16, 20, 24, 28, 32, 35, 37, 38, 38, 37, 35, 34, 33, 33, 33, 35, 36, 38, 38, 38, 36, 34, 32, 30, 29, 31, 33, 37, 42, 45, 47, 47, 46, 44, 42, 40, 38, 35, 33, 30, 26, 23, 19, 16, 14, 12, 11, 10, 9, 8, 8, 8, 8, 8, 8, 8, 7, 6, 5, 4, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 3, 5, 8, 12, 17, 22, 26, 29, 31, 31, 29, 27, 25, 22, 20, 19, 17, 15, 13, 11, 9, 7, 6, 5, 4, 4, 3, 2, 2, 1, 2, 2, 3, 4, 5, 5, 5, 5, 6, 6, 7, 9, 10, 11, 11, 11, 10, 9, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 4, 7, 12, 17, 22, 27, 31, 34, 36, 36, 35, 33, 31, 28, 26, 25, 24, 24, 23, 23, 21, 20, 18, 17, 15, 15, 15, 15, 16, 17, 18, 18, 19, 19, 19, 19, 19, 18, 17, 16, 15, 13, 12, 11, 10, 8, 7, 5, 4, 3, 2, 2, 3, 4, 4, 5, 5, 4, 4, 3, 3, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 4, 3, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 4, 7, 9, 12, 14, 17, 19, 21, 22, 22, 22, 21, 20, 19, 18, 16, 15, 14, 13, 12, 11, 10, 9, 9, 8, 7, 6, 5, 5, 4, 4, 3, 3, 3, 3, 3, 5, 7, 11, 14, 18, 22, 26, 29, 31, 32, 31, 29, 27, 25, 23, 24, 25, 28, 31, 34, 35, 36, 35, 34, 32, 30, 29, 29, 30, 32, 35, 38, 40, 40, 39, 37, 34, 31, 29, 27, 26, 24, 23, 22, 20, 17, 15, 13, 12, 11, 10, 10, 9, 8, 7, 6, 5, 5, 5, 5, 4, 4, 3, 2, 2, 2, 2, 4, 5, 6, 7, 7, 7, 6, 6, 6, 8, 11, 16, 22, 28, 33, 37, 39, 39, 38, 35, 31, 28, 24, 21, 18, 15, 13, 12, 10, 9, 9, 8, 7, 6, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 8, 9, 10, 11, 12, 14, 15, 17, 18, 17, 16, 14, 12, 10, 8, 7, 8, 9, 11, 13, 14, 15, 15, 14, 12, 10, 8, 7, 6, 5, 5, 5, 4, 4, 5, 6, 8, 11, 15, 18, 21, 23, 24, 24, 24, 23, 23, 23, 22, 21, 20, 19, 17, 16, 14, 13, 12, 10, 9, 7, 6, 6, 6, 7, 8, 9, 11, 12, 13, 14, 14, 14, 13, 12, 11, 10, 9, 8, 7, 6, 6, 4, 3, 2, 1, 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, 0, 0, 0, 0, 0, 0, 1, 1, 3, 4, 6, 8, 9, 11, 11, 11, 10, 9, 7, 5, 4, 3, 2, 1, 1, 1, 2, 3, 5, 8, 11, 14, 17, 18, 19, 19, 18, 18, 18, 18, 18, 18, 18, 17, 17, 16, 16, 16, 16, 16, 16, 16, 15, 16, 17, 19, 21, 24, 27, 29, 31, 31, 31, 30, 30, 30, 30, 31, 32, 33, 34, 36, 36, 36, 35, 32, 30, 28, 28, 29, 32, 36, 40, 43, 45, 45, 45, 44, 43, 41, 39, 37, 35, 31, 28, 25, 23, 21, 20, 19, 17, 16, 14, 13, 12, 11, 11, 11, 11, 11, 10, 9, 8, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 4, 3, 1, 0, 0, 0, 0, 2, 4, 6, 9, 12, 16, 19, 23, 26, 29, 30, 30, 29, 27, 24, 22, 20, 18, 17, 15, 13, 11, 9, 8, 7, 6, 6, 6, 5, 4, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 5, 7, 8, 9, 10, 11, 11, 12, 11, 10, 9, 7, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 7, 11, 16, 21, 24, 25, 25, 23, 20, 16, 14, 13, 13, 13, 14, 13, 12, 9, 7, 5, 3, 2, 3, 3, 4, 4, 4, 3, 3, 2, 2, 2, 2, 2, 3, 4, 5, 7, 9, 11, 13, 15, 16, 18, 18, 19, 20, 20, 21, 22, 23, 24, 26, 29, 31, 33, 34, 34, 34, 32, 30, 28, 26, 24, 23, 22, 20, 19, 17, 15, 13, 11, 11, 12, 13, 16, 19, 22, 25, 27, 28, 28, 28, 27, 26, 25, 23, 22, 20, 17, 15, 13, 11, 10, 9, 8, 7, 7, 6, 5, 4, 4, 4, 4, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 9, 10, 12, 13, 13, 13, 12, 12, 11, 10, 10, 9, 8, 7, 6, 5, 4, 3, 3, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 1, 2, 3, 5, 6, 8, 10, 11, 13, 16, 18, 21, 22, 23, 22, 20, 18, 16, 13, 11, 10, 9, 8, 8, 7, 6, 5, 4, 3, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 3, 4, 4, 5, 6, 8, 10, 12, 14, 15, 15, 15, 15, 15, 16, 17, 19, 21, 25, 29, 33, 36, 38, 39, 39, 37, 34, 31, 28, 26, 23, 21, 19, 17, 15, 14, 13, 13, 13, 14, 15, 17, 19, 22, 25, 28, 31, 33, 34, 33, 32, 31, 29, 28, 26, 24, 22, 20, 18, 17, 16, 16, 17, 16, 15, 13, 11, 8, 6, 5, 4, 4, 4, 4, 4, 3, 3, 4, 5, 8, 11, 15, 18, 20, 21, 21, 20, 19, 17, 16, 16, 16, 16, 15, 15, 13, 12, 10, 7, 5, 3, 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, 1, 1, 1, 2, 3, 5, 6, 8, 9, 10, 10, 9, 8, 6, 5, 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, 1, 1, 1, 3, 5, 7, 10, 13, 15, 17, 19, 20, 21, 20, 20, 19, 18, 17, 16, 15, 15, 14, 14, 13, 13, 12, 10, 9, 8, 6, 5, 4, 4, 4, 4, 4, 4, 3, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 3, 3, 3, 4, 5, 6, 8, 10, 12, 15, 18, 22, 25, 27, 29, 30, 30, 29, 28, 27, 25, 24, 23, 22, 21, 19, 18, 15, 13, 10, 8, 7, 6, 6, 6, 6, 5, 4, 3, 1, 1, 0, 1, 1, 2, 3, 3, 3, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 9, 12, 14, 17, 19, 19, 20, 19, 18, 17, 17, 18, 19, 22, 24, 26, 27, 28, 27, 26, 25, 23, 21, 19, 18, 17, 16, 14, 13, 11, 9, 7, 6, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 5, 4, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 5, 7, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 10, 11, 12, 13, 13, 13, 12, 12, 13, 15, 17, 21, 24, 27, 28, 28, 28, 26, 25, 25, 25, 26, 28, 30, 32, 34, 34, 34, 33, 31, 29, 27, 26, 25, 24, 24, 23, 22, 20, 19, 17, 15, 14, 13, 12, 11, 10, 9, 8, 7, 7, 7, 8, 8, 8, 8, 8, 9, 11, 13, 16, 19, 22, 24, 25, 27, 28, 29, 30, 30, 30, 30, 28, 26, 25, 23, 23, 22, 22, 21, 20, 18, 15, 12, 9, 7, 5, 4, 4, 4, 4, 3, 2, 1, 0, 1, 1, 2, 3, 3, 2, 1, 0, 0, 0, 1, 2, 3, 4, 5, 5, 6, 8, 10, 12, 15, 17, 18, 19, 19, 18, 16, 15, 13, 12, 12, 12, 12, 11, 10, 9, 7, 6, 6, 7, 9, 11, 12, 13, 14, 14, 14, 14, 14, 14, 15, 15, 16, 16, 16, 16, 16, 16, 16, 17, 16, 16, 15, 15, 16, 17, 19, 22, 25, 28, 30, 31, 32, 32, 32, 32, 32, 32, 32, 33, 34, 35, 35, 35, 33, 32, 30, 28, 27, 25, 24, 22, 20, 18, 16, 14, 14, 14, 15, 15, 16, 16, 15, 15, 15, 14, 13, 12, 11, 11, 11, 11, 11, 11, 10, 9, 8, 7, 6, 5, 5, 4, 3, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 8, 9, 11, 13, 15, 16, 18, 18, 18, 18, 18, 17, 17, 16, 15, 14, 12, 10, 8, 7, 6, 6, 6, 6, 5, 5, 5, 6, 6, 7, 8, 9, 9, 9, 9, 9, 9, 9, 8, 7, 7, 7, 7, 9, 11, 12, 12, 12, 11, 9, 7, 6, 5, 5, 5, 4, 4, 4, 3, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 4, 5, 6, 6, 6, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 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, 1, 1, 2, 2, 3, 3, 4, 5, 6, 8, 9, 9, 8, 7, 6, 5, 4, 4, 4, 5, 6, 6, 7, 7, 6, 6, 5, 4, 3, 2, 2, 1, 1, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 13, 15, 17, 17, 16, 14, 12, 10, 9, 9, 9, 9, 9, 8, 6, 6, 5, 6, 8, 11, 13, 15, 16, 18, 19, 21, 22, 24, 25, 26, 27, 27, 28, 29, 30, 30, 30, 29, 27, 26, 24, 24, 23, 23, 23, 22, 21, 20, 19, 18, 18, 17, 16, 15, 13, 11, 10, 8, 7, 6, 6, 6, 6, 6, 5, 4, 4, 3, 4, 5, 6, 8, 9, 9, 9, 8, 8, 8, 9, 10, 12, 13, 13, 11, 9, 7, 6, 5, 4, 4, 3, 2, 2, 2, 2, 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, 1, 2, 3, 4, 3, 2, 1, 0, 0, 0, 1, 2, 3, 3, 4, 4, 4, 4, 4, 3, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 7, 8, 8, 8, 7, 6, 5, 5, 4, 4, 4, 4, 3, 2, 1, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 9, 10, 10, 10, 10, 10, 9, 9, 8, 7, 5, 4, 3, 2, 2, 2, 3, 4, 5, 5, 5, 4, 4, 3, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 3, 4, 6, 8, 10, 11, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 13, 12, 12, 13, 14, 15, 17, 18, 19, 20, 21, 21, 21, 20, 19, 18, 16, 15, 13, 12, 11, 11, 11, 11, 11, 10, 10, 9, 9, 10, 11, 12, 15, 18, 21, 23, 25, 25, 25, 25, 25, 25, 26, 27, 27, 26, 25, 24, 22, 21, 20, 18, 17, 15, 13, 10, 9, 8, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 5, 6, 6, 6, 6, 6, 6, 7, 8, 9, 12, 14, 16, 18, 18, 17, 17, 16, 16, 16, 17, 17, 16, 14, 12, 10, 7, 6, 5, 5, 6, 6, 5, 5, 3, 2, 1, 0, 0, 0, 0, 1, 2, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 12, 13, 13, 14, 14, 15, 15, 15, 15, 15, 14, 14, 13, 13, 14, 14, 15, 16, 16, 15, 14, 14, 13, 13, 13, 13, 13, 12, 11, 9, 9, 8, 8, 7, 7, 6, 5, 4, 3, 3, 2, 3, 3, 4, 4, 4, 4, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 5, 6, 7, 7, 7, 6, 6, 6, 7, 9, 10, 12, 13, 15, 15, 16, 16, 15, 14, 13, 12, 11, 10, 10, 9, 9, 7, 6, 4, 2, 1, 1, 2, 2, 3, 3, 2, 1, 0, 0, 0, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 1, 1, 1, 2, 4, 6, 8, 11, 13, 15, 17, 19, 21, 22, 22, 22, 22, 21, 20, 19, 18, 17, 16, 15, 15, 14, 14, 13, 14, 14, 13, 13, 12, 11, 10, 10, 11, 11, 11, 11, 9, 8, 6, 4, 4, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 8, 8, 7, 6, 6, 5, 5, 6, 7, 7, 7, 6, 5, 3, 2, 2, 2, 3, 4, 5, 5, 6, 5, 5, 5, 6, 6, 7, 7, 7, 7, 5, 4, 2, 1, 1, 1, 1, 2, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 3, 5, 7, 9, 11, 13, 14, 16, 17, 19, 21, 23, 25, 27, 29, 30, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32, 31, 30, 29, 27, 24, 23, 21, 20, 19, 18, 17, 16, 15, 14, 14, 15, 17, 18, 20, 22, 24, 26, 28, 30, 31, 32, 31, 31, 30, 30, 30, 31, 32, 32, 32, 31, 29, 27, 24, 22, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 10, 9, 8, 7, 7, 6, 6, 7, 7, 7, 7, 6, 5, 3, 2, 2, 2, 3, 4, 5, 5, 4, 3, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 4, 6, 7, 8, 9, 10, 10, 9, 9, 9, 9, 10, 10, 11, 11, 10, 9, 7, 6, 5, 4, 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, 1, 1, 1, 2, 2, 3, 4, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 7, 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, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 1, 1, 1, 2, 2, 3, 3, 3, 3, 4, 5, 6, 7, 8, 8, 8, 8, 9, 10, 12, 13, 15, 15, 14, 13, 10, 8, 7, 6, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 16, 16, 16, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 8, 7, 7, 7, 7, 7, 7, 6, 5, 4, 4, 3, 3, 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, 1, 2, 3, 3, 4, 5, 5, 6, 6, 7, 7, 7, 8, 9, 10, 12, 12, 12, 10, 8, 6, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 6, 7, 8, 9, 10, 10, 11, 11, 10, 9, 7, 6, 4, 3, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 4, 5, 6, 6, 6, 7, 7, 7, 8, 10, 11, 12, 13, 14, 13, 13, 12, 12, 13, 15, 17, 19, 21, 22, 22, 21, 20, 18, 17, 16, 15, 16, 16, 16, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 17, 16, 14, 13, 12, 11, 10, 10, 9, 9, 9, 9, 9, 9, 8, 8, 6, 5, 5, 5, 6, 8, 10, 10, 10, 9, 7, 6, 6, 6, 7, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 3, 3, 2, 2, 2, 3, 4, 5, 5, 6, 6, 7, 8, 9, 10, 10, 11, 11, 12, 13, 14, 15, 17, 18, 20, 21, 22, 23, 24, 25, 26, 26, 26, 26, 25, 25, 25, 25, 25, 26, 26, 26, 25, 24, 23, 21, 20, 19, 19, 20, 21, 23, 24, 25, 26, 26, 26, 26, 25, 25, 25, 24, 22, 21, 18, 16, 14, 13, 12, 12, 11, 11, 11, 11, 11, 11, 11, 11, 10, 10, 9, 8, 7, 6, 7, 8, 10, 11, 13, 14, 15, 15, 16, 16, 16, 16, 16, 17, 19, 19, 19, 19, 17, 15, 13, 13, 13, 13, 14, 15, 15, 13, 11, 9, 7, 6, 6, 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 3, 3, 4, 5, 7, 8, 9, 9, 9, 9, 8, 8, 8, 7, 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, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 6, 7, 8, 9, 11, 13, 14, 15, 15, 16, 16, 16, 17, 17, 18, 17, 16, 15, 13, 12, 12, 12, 13, 13, 12, 11, 10, 9, 8, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 7, 8, 9, 10, 12, 13, 15, 16, 17, 18, 20, 22, 24, 26, 28, 29, 30, 32, 33, 36, 38, 41, 43, 44, 44, 44, 44, 44, 43, 43, 42, 41, 40, 39, 38, 37, 36, 36, 35, 35, 35, 34, 33, 32, 31, 29, 27, 25, 23, 21, 20, 20, 20, 20, 20, 19, 17, 15, 14, 13, 13, 13, 14, 14, 13, 12, 11, 10, 9, 8, 8, 8, 7, 7, 8, 8, 8, 9, 9, 8, 7, 6, 6, 5, 5, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 10, 10, 10, 11, 12, 12, 12, 12, 11, 11, 10, 10, 9, 9, 8, 7, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 5, 4, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 4, 5, 7, 8, 9, 10, 10, 9, 8, 7, 6, 5, 4, 5, 5, 6, 6, 6, 6, 6, 6, 7, 8, 9, 9, 9, 8, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 6, 7, 8, 9, 9, 8, 7, 7, 6, 6, 6, 6, 6, 6, 7, 7, 6, 5, 3, 2, 1, 0, 0, 2, 4, 5, 6, 6, 4, 2, 1, 0, 0, 0, 2, 4, 5, 5, 5, 4, 4, 4, 5, 7, 8, 10, 11, 13, 13, 14, 14, 15, 15, 16, 17, 18, 19, 20, 19, 18, 16, 15, 14, 15, 16, 17, 18, 17, 15, 13, 11, 10, 10, 11, 13, 14, 15, 15, 14, 13, 12, 12, 13, 14, 14, 15, 15, 14, 14, 13, 13, 13, 14, 14, 15, 15, 16, 16, 17, 17, 18, 18, 18, 16, 15, 13, 13, 13, 13, 14, 15, 16, 16, 16, 16, 16, 16, 17, 17, 18, 19, 20, 21, 23, 25, 26, 28, 28, 29, 28, 27, 27, 26, 27, 29, 31, 33, 34, 34, 33, 32, 30, 28, 28, 28, 28, 29, 28, 27, 25, 23, 21, 20, 19, 19, 19, 18, 16, 15, 14, 13, 13, 14, 14, 13, 12, 11, 9, 9, 9, 10, 11, 11, 10, 9, 7, 5, 4, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 5, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 7, 6, 4, 3, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 4, 5, 6, 7, 7, 6, 5, 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, 1, 2, 3, 5, 6, 7, 8, 10, 11, 13, 15, 17, 18, 19, 20, 20, 20, 20, 20, 20, 20, 21, 21, 21, 22, 22, 23, 24, 24, 23, 22, 21, 21, 20, 20, 21, 22, 23, 23, 23, 22, 20, 18, 17, 15, 14, 12, 11, 10, 10, 9, 8, 8, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 3, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 7, 9, 10, 12, 12, 13, 12, 12, 13, 14, 16, 18, 20, 21, 21, 21, 20, 20, 20, 20, 21, 22, 23, 23, 22, 21, 20, 20, 20, 20, 21, 21, 20, 20, 18, 17, 16, 16, 15, 15, 14, 13, 12, 11, 10, 10, 10, 9, 9, 8, 7, 7, 7, 7, 7, 7, 6, 5, 4, 3, 3, 2, 3, 3, 3, 3, 3, 2, 1, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 3, 3, 4, 4, 4, 3, 3, 3, 4, 5, 7, 8, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 9, 9, 10, 11, 11, 11, 10, 9, 7, 6, 6, 5, 5, 5, 4, 4, 4, 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, 1, 1, 1, 1, 1, 2, 3, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 7, 7, 6, 5, 4, 3, 2, 2, 3, 4, 5, 5, 5, 5, 4, 3, 1, 0, 0, 0, 1, 3, 4, 5, 6, 5, 4, 4, 4, 5, 7, 9, 11, 12, 13, 12, 12, 11, 11, 11, 11, 11, 11, 10, 10, 9, 9, 9, 10, 10, 10, 10, 9, 9, 8, 8, 9, 9, 10, 11, 11, 12, 12, 13, 13, 14, 14, 14, 14, 13, 11, 10, 10, 9, 9, 9, 9, 9, 9, 8, 8, 7, 7, 6, 6, 5, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 10, 10, 11, 11, 11, 10, 10, 10, 10, 10, 9, 9, 7, 6, 4, 3, 3, 3, 3, 3, 3, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 8, 9, 9, 10, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 8, 6, 5, 4, 5, 5, 7, 8, 8, 8, 6, 4, 2, 1, 1, 1, 3, 5, 6, 7, 7, 6, 5, 5, 5, 5, 6, 7, 8, 9, 10, 10, 11, 11, 11, 12, 13, 15, 16, 18, 20, 21, 21, 21, 21, 21, 21, 21, 22, 22, 23, 23, 24, 23, 22, 21, 20, 18, 17, 17, 16, 16, 16, 15, 14, 12, 11, 10, 9, 10, 10, 11, 11, 11, 10, 8, 6, 5, 4, 4, 5, 6, 6, 7, 7, 7, 6, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 4, 5, 6, 7, 7, 7, 7, 7, 8, 8, 9, 9, 10, 10, 10, 10, 11, 11, 12, 12, 13, 13, 12, 12, 10, 9, 7, 6, 6, 6, 6, 7, 8, 8, 9, 9, 9, 10, 10, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 14, 15, 16, 16, 16, 16, 15, 14, 14, 13, 13, 13, 12, 11, 11, 10, 9, 9, 9, 9, 9, 8, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 9, 10, 12, 12, 13, 12, 11, 10, 10, 11, 13, 15, 17, 17, 17, 16, 15, 14, 14, 14, 14, 13, 13, 12, 11, 10, 10, 10, 10, 10, 10, 9, 8, 7, 6, 5, 5, 5, 6, 6, 7, 8, 8, 8, 8, 8, 7, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 4, 4, 3, 4, 4, 4, 5, 5, 5, 5, 4, 4, 3, 2, 1, 1, 2, 3, 4, 4, 5, 5, 4, 3, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 4, 4, 4, 4, 3, 2, 1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3, 4, 5, 6, 7, 8, 8, 8, 7, 6, 5, 4, 3, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 2, 1, 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, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 4, 5, 6, 7, 8, 9, 8, 7, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 1, 2, 3, 4, 6, 7, 8, 7, 7, 7, 7, 8, 9, 10, 11, 10, 9, 8, 7, 7, 7, 8, 9, 10, 10, 9, 9, 8, 7, 7, 7, 7, 8, 8, 8, 9, 9, 9, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 9, 9, 10, 11, 11, 12, 11, 10, 9, 8, 8, 9, 9, 10, 11, 11, 10, 10, 11, 12, 13, 15, 16, 16, 15, 14, 13, 11, 10, 9, 9, 9, 10, 11, 12, 12, 12, 12, 12, 11, 11, 12, 12, 12, 12, 11, 10, 9, 9, 10, 10, 11, 11, 11, 10, 9, 9, 10, 12, 14, 16, 17, 18, 18, 18, 18, 18, 18, 19, 18, 18, 18, 17, 17, 18, 18, 19, 19, 20, 20, 21, 21, 21, 20, 19, 18, 16, 15, 14, 13, 13, 14, 14, 15, 16, 17, 17, 16, 16, 15, 14, 14, 13, 13, 13, 14, 14, 14, 14, 14, 15, 15, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 15, 15, 14, 13, 12, 11, 11, 11, 11, 12, 13, 13, 14, 14, 14, 13, 13, 12, 12, 11, 11, 11, 10, 10, 9, 9, 8, 8, 8, 8, 8, 9, 10, 10, 9, 8, 6, 5, 4, 5, 6, 7, 8, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 12, 14, 15, 17, 18, 18, 19, 19, 20, 20, 21, 22, 22, 21, 20, 19, 18, 18, 18, 18, 19, 19, 19, 18, 17, 15, 14, 13, 12, 12, 12, 12, 12, 13, 12, 12, 11, 10, 9, 9, 8, 8, 8, 8, 8, 8, 7, 7, 6, 6, 5, 5, 6, 7, 8, 9, 9, 9, 8, 6, 5, 5, 5, 5, 6, 6, 5, 5, 6, 6, 7, 7, 7, 7, 5, 5, 4, 5, 6, 7, 8, 9, 8, 8, 7, 7, 7, 6, 6, 5, 4, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 15, 15, 15, 16, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 24, 24, 23, 22, 22, 22, 22, 23, 24, 24, 24, 23, 21, 20, 19, 20, 21, 22, 24, 24, 23, 21, 19, 17, 15, 15, 15, 17, 18, 19, 19, 19, 18, 17, 16, 14, 13, 13, 13, 14, 15, 16, 16, 16, 15, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 16, 17, 19, 20, 19, 19, 17, 16, 16, 18, 19, 21, 22, 22, 21, 19, 17, 16, 15, 15, 16, 17, 18, 19, 19, 19, 19, 20, 21, 22, 23, 24, 24, 24, 24, 23, 23, 22, 21, 20, 19, 19, 19, 19, 21, 23, 24, 25, 26, 25, 24, 24, 23, 23, 23, 23, 24, 24, 25, 26, 27, 28, 28, 28, 28, 28, 28, 28, 28, 29, 29, 30, 30, 30, 31, 31, 30, 30, 29, 28, 27, 27, 28, 29, 31, 33, 34, 35, 34, 33, 32, 31, 32, 32, 33, 32, 31, 30, 28, 27, 26, 27, 28, 29, 29, 29, 27, 25, 22, 20, 19, 18, 17, 17, 16, 16, 16, 17, 18, 20, 20, 20, 19, 18, 16, 15, 15, 16, 17, 18, 18, 17, 17, 16, 16, 17, 18, 19, 21, 21, 21, 20, 19, 18, 18, 19, 20, 21, 23, 24, 24, 24, 24, 23, 23, 23, 24, 25, 27, 28, 29, 30, 30, 31, 31, 32, 32, 32, 32, 30, 29, 27, 27, 27, 28, 30, 32, 33, 33, 32, 32, 31, 31, 31, 30, 30, 30, 29, 29, 30, 31, 33, 34, 34, 33, 32, 30, 28, 27, 26, 26, 27, 27, 27, 26, 25, 25, 24, 24, 24, 24, 24, 23, 23, 22, 21, 20, 19, 18, 18, 18, 18, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 17, 16, 15, 13, 12, 11, 10, 10, 10, 11, 12, 12, 13, 14, 14, 14, 15, 15, 16, 16, 17, 17, 17, 17, 17, 17, 16, 15, 14, 13, 12, 12, 12, 12, 13, 14, 14, 14, 13, 12, 12, 13, 14, 16, 18, 18, 18, 17, 15, 14, 13, 14, 15, 17, 18, 19, 19, 18, 18, 18, 18, 18, 18, 18, 17, 16, 15, 15, 16, 17, 19, 20, 21, 21, 19, 17, 15, 14, 13, 13, 15, 16, 17, 18, 18, 18, 18, 17, 18, 18, 19, 19, 19, 18, 17, 16, 16, 15, 15, 16, 16, 17, 17, 16, 16, 15, 14, 14, 13, 12, 12, 11, 11, 11, 12, 12, 13, 13, 13, 12, 12, 10, 10, 9, 9, 8, 8, 8, 7, 5, 4, 3, 3, 3, 4, 4, 5, 5, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 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, 1, 2, 2, 1, 1, 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, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 3, 4, 5, 5, 4, 3, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 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, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 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, 1, 1, 1, 1, 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, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 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, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 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, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 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, 0, 0, 1, 1, 2, 2, 3, 3, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 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, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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],
"peakT": [106, 110, 117, 128, 143, 160, 176, 187, 195, 204, 217, 233, 250, 264, 274, 283, 292, 305, 322, 345, 368, 391, 409, 422, 429, 435, 442, 452, 468, 489, 514, 540, 566, 590, 614, 639, 667, 703, 746, 798, 857, 921, 989, 1061, 1135, 1213, 1293, 1374, 1455, 1533, 1608, 1678, 1745, 1805, 1859, 1903, 1935, 1953, 1958, 1951, 1935, 1912, 1883, 1847, 1803, 1750, 1686, 1613, 1532, 1447, 1359, 1270, 1181, 1091, 1001, 913, 829, 750, 678, 614, 557, 507, 463, 423, 387, 356, 328, 303, 280, 259, 239, 220, 200, 181, 163, 145, 129, 115, 101, 88, 77, 68, 61, 56, 53, 53, 55, 60, 68, 80, 95, 113, 132, 153, 173, 193, 211, 227, 242, 255, 265, 270, 270, 264, 253, 237, 218, 197, 176, 154, 133, 113, 95, 78, 63, 51, 40, 32, 27, 23, 22, 23, 26, 30, 35, 42, 50, 60, 73, 91, 115, 145, 180, 221, 266, 311, 355, 394, 428, 455, 475, 486, 487, 478, 456, 423, 380, 331, 280, 230, 185, 147, 116, 91, 71, 55, 44, 36, 31, 29, 28, 27, 26, 25, 23, 22, 21, 20, 19, 18, 16, 14, 12, 10, 9, 8, 8, 9, 9, 10, 11, 12, 12, 11, 11, 11, 14, 20, 31, 47, 70, 100, 138, 183, 236, 295, 359, 423, 484, 538, 580, 606, 613, 600, 568, 520, 459, 390, 319, 251, 190, 139, 98, 68, 48, 35, 28, 23, 21, 19, 18, 17, 17, 16, 15, 15, 14, 13, 13, 13, 14, 15, 17, 19, 20, 20, 20, 19, 19, 19, 21, 26, 34, 49, 71, 103, 146, 203, 272, 352, 438, 524, 602, 664, 702, 714, 696, 651, 583, 499, 407, 314, 228, 153, 94, 50, 22, 7, 0, 0, 0, 1, 3, 4, 6, 7, 8, 10, 11, 12, 13, 13, 14, 18, 28, 47, 78, 124, 185, 260, 345, 434, 519, 591, 644, 670, 665, 631, 570, 488, 396, 302, 214, 139, 81, 40, 15, 3, 0, 0, 0, 3, 5, 7, 8, 9, 9, 8, 7, 8, 10, 14, 19, 24, 27, 29, 28, 27, 24, 23, 21, 21, 20, 19, 18, 17, 17, 17, 19, 21, 22, 23, 22, 21, 19, 18, 18, 21, 26, 38, 59, 93, 145, 216, 305, 408, 516, 618, 700, 752, 764, 735, 666, 567, 449, 329, 219, 128, 63, 23, 4, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 4, 5, 7, 8, 7, 6, 4, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 5, 8, 11, 14, 17, 19, 19, 19, 17, 15, 15, 15, 16, 18, 21, 23, 24, 24, 23, 21, 19, 16, 14, 11, 9, 8, 8, 9, 11, 13, 16, 19, 20, 20, 19, 18, 18, 19, 20, 19, 17, 13, 11, 15, 34, 75, 147, 252, 388, 545, 707, 854, 963, 1017, 1005, 927, 795, 629, 455, 295, 166, 77, 25, 2, 0, 0, 2, 3, 2, 1, 2, 4, 7, 11, 16, 21, 27, 33, 39, 44, 46, 45, 41, 35, 28, 22, 18, 16, 17, 19, 21, 23, 30, 46, 80, 142, 235, 362, 512, 669, 811, 915, 961, 939, 853, 719, 560, 409, 292, 231, 236, 302, 414, 548, 674, 768, 809, 789, 711, 589, 443, 298, 174, 83, 27, 2, 0, 0, 3, 3, 2, 0, 0, 0, 0, 3, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 7, 11, 16, 19, 20, 20, 18, 17, 17, 20, 25, 31, 37, 42, 43, 42, 37, 30, 23, 18, 14, 14, 16, 21, 27, 33, 39, 41, 41, 37, 31, 25, 19, 15, 15, 19, 25, 31, 35, 34, 29, 23, 25, 46, 97, 186, 314, 470, 631, 772, 865, 888, 838, 724, 573, 422, 307, 255, 277, 366, 498, 638, 749, 804, 788, 705, 577, 436, 316, 246, 240, 297, 400, 520, 626, 692, 700, 649, 550, 424, 294, 181, 97, 45, 17, 4, 0, 0, 11, 52, 135, 264, 432, 618, 792, 920, 975, 945, 836, 670, 478, 297, 152, 57, 8, 0, 0, 5, 7, 5, 1, 0, 2, 8, 16, 24, 30, 34, 36, 35, 33, 28, 21, 15, 9, 5, 3, 4, 6, 9, 12, 14, 16, 16, 15, 14, 12, 12, 14, 17, 22, 27, 32, 32, 27, 17, 5, 0, 8, 46, 123, 240, 389, 550, 695, 796, 831, 792, 686, 536, 371, 221, 106, 34, 1, 0, 1, 9, 14, 15, 15, 17, 23, 31, 41, 50, 55, 52, 41, 24, 8, 6, 32, 99, 214, 370, 548, 720, 850, 913, 893, 794, 637, 455, 282, 144, 53, 7, 0, 0, 7, 13, 15, 12, 6, 0, 0, 6, 42, 112, 218, 353, 495, 618, 698, 716, 670, 572, 443, 310, 194, 109, 59, 36, 31, 30, 25, 13, 0, 0, 20, 92, 218, 393, 594, 784, 924, 982, 944, 818, 634, 430, 245, 107, 25, 0, 0, 7, 17, 14, 1, 0, 1, 55, 167, 340, 558, 785, 978, 1093, 1104, 1006, 821, 593, 367, 184, 64, 5, 0, 0, 8, 11, 7, 0, 0, 0, 0, 2, 4, 4, 3, 3, 3, 4, 5, 6, 6, 5, 4, 3, 2, 1, 1, 2, 4, 6, 8, 11, 13, 14, 15, 15, 15, 14, 14, 14, 13, 12, 11, 10, 8, 7, 4, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 4, 6, 6, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 9, 10, 10, 9, 7, 4, 2, 0, 0, 1, 3, 4, 6, 8, 8, 9, 9, 8, 8, 8, 9, 11, 14, 18, 22, 24, 24, 21, 17, 11, 5, 1, 0, 0, 0, 3, 5, 7, 8, 8, 7, 6, 5, 4, 4, 4, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 1, 4, 7, 10, 12, 12, 9, 5, 2, 3, 7, 15, 25, 34, 40, 41, 36, 27, 17, 7, 0, 0, 1, 8, 18, 29, 37, 41, 40, 34, 26, 19, 14, 14, 19, 27, 38, 48, 56, 57, 49, 30, 6, 0, 2, 62, 184, 364, 579, 787, 942, 1004, 958, 815, 612, 395, 207, 75, 5, 0, 0, 18, 36, 41, 32, 11, 0, 0, 42, 162, 361, 622, 904, 1146, 1292, 1304, 1179, 947, 666, 396, 185, 54, 0, 0, 3, 16, 19, 14, 7, 3, 3, 6, 8, 7, 5, 4, 5, 8, 13, 19, 22, 23, 22, 18, 15, 12, 12, 16, 23, 34, 45, 53, 53, 41, 20, 0, 0, 31, 126, 284, 490, 711, 898, 1006, 1006, 898, 708, 485, 276, 119, 27, 0, 0, 6, 13, 12, 4, 0, 0, 0, 5, 12, 16, 18, 16, 13, 10, 8, 7, 9, 12, 13, 10, 3, 0, 0, 24, 84, 184, 315, 455, 574, 646, 651, 588, 473, 335, 202, 97, 31, 1, 0, 0, 6, 8, 9, 10, 16, 25, 36, 45, 49, 48, 42, 33, 24, 16, 11, 8, 8, 10, 14, 21, 28, 31, 25, 11, 0, 0, 28, 120, 274, 476, 690, 867, 962, 949, 832, 642, 426, 232, 92, 16, 0, 0, 10, 17, 16, 10, 5, 4, 9, 17, 25, 33, 39, 42, 44, 43, 39, 33, 27, 21, 17, 16, 17, 19, 23, 27, 32, 36, 39, 40, 38, 34, 27, 20, 15, 12, 14, 21, 31, 44, 54, 57, 48, 26, 1, 0, 10, 92, 242, 451, 682, 888, 1017, 1036, 941, 756, 529, 310, 139, 35, 0, 0, 18, 42, 55, 57, 50, 40, 30, 24, 21, 24, 31, 43, 57, 71, 80, 78, 62, 33, 2, 0, 19, 115, 285, 514, 763, 975, 1099, 1098, 970, 743, 472, 220, 45, 0, 41, 200, 418, 639, 809, 887, 857, 731, 545, 347, 177, 63, 5, 0, 0, 10, 14, 9, 2, 0, 0, 0, 1, 4, 5, 6, 9, 11, 14, 16, 16, 13, 10, 7, 6, 9, 14, 19, 24, 26, 24, 19, 12, 6, 2, 0, 0, 0, 1, 5, 9, 13, 18, 21, 21, 20, 17, 13, 10, 6, 4, 4, 7, 13, 20, 24, 21, 9, 0, 0, 23, 107, 246, 426, 611, 756, 822, 792, 672, 498, 312, 155, 50, 0, 0, 2, 15, 20, 17, 9, 2, 0, 0, 0, 2, 3, 3, 3, 3, 3, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 9, 10, 11, 10, 8, 6, 3, 1, 0, 1, 5, 11, 17, 22, 24, 22, 18, 11, 4, 0, 0, 4, 14, 27, 40, 49, 52, 49, 39, 27, 15, 6, 0, 0, 0, 3, 8, 15, 21, 25, 27, 26, 22, 16, 11, 8, 9, 15, 25, 38, 51, 57, 52, 33, 6, 0, 0, 67, 203, 400, 624, 823, 947, 960, 860, 675, 454, 250, 101, 17, 0, 0, 10, 23, 29, 32, 36, 40, 44, 43, 37, 27, 18, 12, 14, 23, 37, 51, 58, 51, 28, 0, 0, 12, 107, 279, 512, 762, 971, 1082, 1064, 922, 697, 447, 230, 81, 6, 0, 0, 10, 18, 19, 18, 18, 16, 7, 0, 0, 28, 122, 284, 500, 729, 916, 1010, 984, 845, 631, 399, 200, 65, 0, 0, 0, 14, 19, 13, 3, 0, 0, 0, 7, 15, 23, 30, 36, 39, 39, 35, 28, 19, 10, 3, 0, 0, 2, 8, 16, 22, 27, 28, 26, 19, 11, 4, 0, 0, 5, 15, 26, 35, 39, 38, 31, 22, 12, 4, 0, 0, 2, 6, 11, 14, 16, 16, 15, 13, 12, 12, 14, 16, 19, 22, 25, 28, 31, 30, 24, 12, 0, 0, 9, 64, 161, 290, 427, 539, 594, 578, 495, 367, 230, 113, 35, 0, 0, 0, 11, 17, 19, 19, 20, 22, 24, 24, 22, 19, 18, 20, 25, 31, 37, 41, 40, 35, 27, 17, 9, 5, 7, 16, 30, 47, 63, 74, 75, 65, 43, 15, 0, 0, 36, 128, 266, 427, 574, 670, 687, 621, 491, 332, 181, 68, 5, 0, 0, 28, 55, 73, 78, 66, 40, 8, 0, 4, 78, 219, 417, 637, 829, 941, 937, 812, 595, 343, 124, 0, 0, 124, 340, 586, 792, 901, 883, 743, 522, 281, 90, 0, 36, 189, 414, 650, 831, 907, 857, 696, 468, 235, 62, 0, 51, 213, 433, 649, 800, 849, 785, 634, 441, 253, 110, 26, 0, 0, 7, 15, 14, 6, 0, 0, 0, 2, 10, 18, 24, 28, 28, 25, 18, 11, 6, 5, 9, 17, 29, 39, 46, 47, 43, 33, 22, 11, 3, 0, 0, 4, 14, 27, 41, 51, 56, 53, 43, 30, 16, 5, 1, 3, 12, 26, 42, 56, 63, 57, 36, 6, 0, 0, 73, 223, 436, 673, 877, 991, 983, 855, 645, 411, 207, 68, 0, 0, 0, 12, 23, 27, 27, 21, 7, 0, 0, 24, 131, 318, 565, 825, 1029, 1120, 1070, 892, 639, 379, 169, 40, 0, 0, 7, 21, 21, 11, 0, 0, 0, 0, 4, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 7, 9, 9, 8, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 6, 7, 7, 7, 7, 5, 4, 2, 1, 0, 0, 0, 0, 1, 2, 4, 6, 8, 8, 8, 7, 6, 5, 4, 4, 3, 2, 0, 0, 0, 1, 5, 12, 20, 28, 32, 32, 28, 20, 11, 3, 0, 0, 4, 13, 23, 32, 38, 41, 39, 33, 24, 16, 8, 4, 1, 1, 3, 6, 8, 10, 11, 10, 8, 5, 3, 1, 0, 0, 0, 1, 2, 2, 3, 4, 5, 7, 9, 12, 14, 15, 15, 13, 11, 8, 5, 3, 2, 2, 3, 4, 5, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 3, 2, 0, 0, 0, 1, 3, 6, 8, 9, 8, 6, 3, 0, 0, 0, 2, 6, 12, 16, 19, 18, 14, 9, 3, 0, 0, 1, 7, 14, 21, 26, 28, 26, 20, 13, 5, 0, 0, 2, 13, 28, 45, 59, 66, 65, 56, 42, 28, 19, 16, 19, 26, 35, 45, 55, 59, 55, 37, 10, 0, 0, 53, 191, 398, 638, 853, 982, 985, 862, 651, 411, 201, 59, 0, 0, 0, 23, 38, 39, 24, 0, 0, 0, 53, 193, 404, 653, 882, 1027, 1046, 931, 718, 466, 240, 82, 2, 0, 0, 15, 20, 14, 5, 1, 5, 14, 23, 26, 22, 14, 5, 0, 0, 3, 7, 10, 11, 10, 7, 5, 3, 2, 1, 0, 0, 2, 9, 17, 23, 21, 9, 0, 0, 21, 103, 239, 410, 577, 695, 729, 670, 534, 363, 199, 77, 9, 0, 0, 12, 27, 36, 40, 43, 44, 43, 37, 26, 14, 4, 0, 1, 9, 18, 27, 31, 31, 27, 20, 12, 5, 1, 0, 0, 2, 7, 12, 18, 21, 22, 20, 16, 10, 4, 0, 0, 1, 9, 22, 36, 45, 39, 17, 0, 0, 31, 157, 367, 628, 882, 1059, 1107, 1010, 797, 532, 283, 102, 6, 0, 0, 17, 27, 21, 8, 0, 0, 0, 3, 7, 7, 4, 1, 0, 1, 3, 5, 6, 6, 5, 5, 4, 2, 0, 0, 0, 0, 5, 15, 21, 17, 3, 0, 0, 43, 149, 306, 485, 639, 724, 712, 609, 445, 268, 121, 29, 0, 0, 5, 16, 16, 9, 0, 0, 0, 0, 1, 2, 2, 3, 5, 8, 12, 15, 15, 13, 9, 4, 0, 0, 0, 3, 11, 21, 32, 39, 40, 36, 27, 16, 6, 0, 0, 0, 7, 16, 26, 34, 38, 37, 31, 22, 13, 4, 0, 0, 4, 17, 36, 58, 72, 68, 42, 3, 0, 4, 118, 332, 621, 922, 1156, 1252, 1178, 951, 634, 312, 69, 0, 4, 177, 427, 680, 868, 940, 881, 714, 491, 274, 109, 16, 0, 0, 13, 22, 18, 7, 0, 0, 0, 3, 8, 10, 8, 4, 0, 0, 6, 17, 31, 38, 33, 12, 0, 0, 39, 169, 375, 625, 857, 1006, 1025, 909, 694, 443, 220, 67, 0, 0, 1, 19, 23, 15, 3, 0, 0, 0, 5, 6, 4, 2, 3, 12, 25, 35, 33, 16, 0, 0, 23, 131, 312, 540, 761, 916, 955, 869, 682, 452, 238, 83, 3, 0, 0, 15, 27, 29, 28, 29, 34, 39, 40, 34, 23, 12, 5, 6, 13, 24, 35, 40, 40, 33, 23, 13, 7, 6, 12, 21, 31, 40, 47, 51, 51, 42, 24, 1, 0, 0, 55, 170, 331, 506, 646, 712, 681, 564, 398, 228, 93, 13, 0, 0, 6, 26, 40, 43, 31, 8, 0, 0, 47, 192, 421, 697, 956, 1125, 1151, 1022, 772, 469, 193, 8, 0, 40, 235, 488, 733, 906, 962, 890, 715, 488, 270, 107, 16, 0, 0, 12, 20, 17, 6, 0, 0, 0, 0, 5, 9, 11, 13, 15, 16, 15, 13, 10, 5, 1, 0, 0, 4, 13, 24, 36, 46, 51, 49, 40, 27, 13, 2, 0, 0, 12, 31, 52, 70, 80, 80, 70, 52, 31, 12, 0, 0, 7, 30, 62, 95, 117, 116, 88, 39, 0, 0, 58, 223, 470, 754, 1005, 1152, 1153, 1004, 744, 443, 174, 1, 0, 59, 269, 539, 802, 989, 1050, 971, 773, 510, 249, 54, 0, 3, 150, 372, 613, 812, 918, 902, 768, 551, 310, 106, 0, 0, 92, 283, 506, 702, 816, 820, 717, 539, 338, 163, 44, 0, 0, 4, 30, 48, 49, 30, 0, 0, 0, 75, 243, 483, 746, 965, 1075, 1041, 873, 625, 365, 157, 31, 0, 0, 9, 24, 26, 20, 16, 17, 23, 28, 27, 19, 8, 0, 0, 11, 29, 47, 57, 50, 25, 0, 0, 20, 125, 303, 523, 736, 882, 917, 830, 649, 427, 222, 76, 1, 0, 0, 15, 25, 24, 20, 17, 19, 21, 21, 17, 9, 2, 0, 2, 10, 21, 31, 36, 36, 30, 22, 12, 5, 0, 0, 1, 7, 16, 29, 42, 52, 52, 39, 15, 0, 0, 37, 141, 296, 476, 636, 729, 726, 624, 448, 247, 75, 0, 0, 115, 315, 545, 743, 854, 846, 721, 512, 277, 82, 0, 0, 130, 342, 575, 762, 851, 820, 683, 484, 280, 118, 22, 0, 0, 10, 20, 18, 8, 0, 0, 0, 0, 4, 6, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 8, 13, 16, 19, 19, 18, 14, 10, 7, 6, 8, 12, 17, 22, 25, 25, 22, 17, 12, 9, 8, 11, 15, 20, 23, 25, 23, 19, 14, 9, 4, 0, 0, 0, 2, 7, 13, 18, 21, 21, 19, 14, 9, 5, 2, 0, 1, 4, 10, 20, 28, 30, 21, 3, 0, 0, 48, 158, 321, 503, 659, 744, 731, 624, 457, 276, 126, 31, 0, 0, 5, 16, 17, 10, 1, 0, 0, 0, 6, 10, 13, 16, 19, 21, 23, 23, 20, 14, 8, 3, 2, 4, 11, 19, 27, 32, 32, 28, 20, 11, 4, 0, 0, 1, 6, 12, 19, 24, 27, 26, 23, 17, 11, 6, 3, 2, 5, 11, 21, 35, 49, 55, 46, 21, 0, 0, 27, 152, 360, 619, 869, 1040, 1080, 977, 763, 500, 259, 87, 0, 0, 0, 18, 25, 18, 5, 0, 0, 0, 2, 6, 5, 3, 1, 3, 8, 16, 25, 31, 34, 32, 26, 18, 10, 4, 3, 4, 9, 15, 20, 23, 24, 22, 17, 12, 6, 1, 0, 0, 4, 11, 18, 25, 29, 29, 26, 21, 15, 10, 8, 9, 12, 16, 19, 20, 19, 16, 12, 9, 8, 8, 10, 12, 14, 14, 14, 15, 19, 23, 25, 20, 6, 0, 0, 27, 109, 238, 393, 539, 636, 655, 590, 461, 306, 163, 59, 5, 0, 0, 9, 14, 11, 4, 0, 0, 0, 2, 6, 9, 10, 11, 12, 13, 12, 10, 7, 4, 0, 0, 0, 5, 12, 21, 29, 33, 33, 28, 20, 11, 3, 0, 0, 5, 12, 21, 27, 31, 30, 25, 19, 11, 5, 1, 0, 0, 1, 5, 11, 17, 23, 26, 26, 23, 19, 15, 12, 10, 10, 13, 19, 30, 42, 47, 39, 17, 0, 0, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 31, 153, 354, 604, 846, 1014, 1058, 963, 760, 507, 269, 96, 5, 0, 0, 20, 32, 27, 14, 1, 0, 0, 5, 16, 27, 37, 45, 49, 49, 44, 36, 25, 14, 5, 0, 0, 0, 5, 11, 18, 24, 27, 26, 23, 17, 12, 9, 7, 7, 10, 15, 24, 37, 47, 49, 34, 7, 0, 0, 67, 227, 462, 727, 954, 1075, 1054, 896, 652, 389, 174, 40, 0, 0, 8, 23, 23, 12, 0, 0, 0, 0, 4, 6, 5, 2, 0, 0, 2, 5, 8, 10, 9, 7, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 0, 1, 1, 2, 2, 3, 3, 2, 1, 0, 0, 0, 4, 13, 26, 39, 48, 51, 47, 35, 21, 7, 0, 0, 5, 17, 32, 44, 51, 50, 43, 31, 18, 6, 0, 0, 0, 7, 16, 24, 30, 32, 30, 24, 16, 8, 2, 0, 1, 6, 15, 30, 46, 60, 63, 49, 20, 0, 0, 40, 168, 369, 608, 828, 969, 987, 873, 657, 398, 161, 5, 0, 43, 219, 445, 662, 812, 855, 783, 621, 416, 223, 81, 5, 0, 0, 21, 38, 45, 43, 38, 33, 27, 20, 12, 6, 3, 6, 14, 27, 41, 53, 59, 55, 40, 16, 0, 0, 28, 113, 242, 394, 530, 613, 617, 538, 396, 228, 77, 0, 0, 76, 256, 485, 706, 861, 906, 831, 658, 441, 237, 88, 8, 0, 0, 9, 14, 12, 8, 6, 6, 2, 0, 0, 12, 76, 192, 346, 504, 623, 666, 620, 498, 338, 184, 68, 5, 0, 0, 10, 17, 14, 7, 1, 0, 5, 11, 18, 23, 26, 27, 28, 28, 25, 21, 15, 8, 2, 0, 0, 3, 11, 21, 31, 38, 41, 38, 31, 21, 11, 4, 0, 0, 4, 11, 21, 30, 39, 45, 43, 33, 15, 0, 0, 12, 74, 177, 302, 421, 500, 513, 458, 351, 225, 112, 34, 0, 0, 0, 11, 17, 17, 15, 12, 11, 10, 9, 8, 8, 11, 17, 25, 36, 49, 63, 71, 66, 43, 6, 0, 0, 88, 285, 569, 885, 1153, 1294, 1266, 1076, 783, 470, 211, 50, 0, 0, 10, 29, 30, 17, 2, 0, 0, 9, 21, 29, 33, 34, 34, 33, 33, 32, 31, 29, 29, 30, 34, 39, 46, 51, 55, 58, 62, 67, 71, 70, 56, 28, 0, 0, 18, 132, 328, 582, 841, 1035, 1110, 1043, 855, 599, 343, 143, 26, 0, 0, 21, 40, 42, 31, 15, 4, 2, 8, 20, 34, 46, 54, 58, 57, 50, 40, 28, 18, 13, 13, 20, 30, 42, 52, 61, 69, 73, 70, 53, 23, 0, 0, 27, 154, 366, 631, 889, 1068, 1115, 1013, 795, 525, 275, 94, 2, 0, 0, 20, 29, 22, 8, 0, 0, 0, 2, 5, 5, 3, 2, 4, 9, 16, 20, 21, 18, 12, 6, 1, 1, 5, 14, 25, 37, 50, 59, 60, 47, 21, 0, 0, 22, 135, 323, 558, 785, 942, 981, 890, 697, 458, 238, 80, 0, 0, 0, 26, 42, 44, 36, 25, 16, 10, 6, 3, 3, 8, 20, 38, 59, 77, 84, 75, 47, 10, 0, 0, 75, 227, 437, 664, 849, 939, 906, 758, 534, 292, 92, 0, 0, 97, 294, 527, 738, 872, 891, 789, 593, 356, 141, 2, 0, 62, 240, 461, 666, 800, 825, 735, 556, 336, 133, 1, 0, 58, 232, 453, 662, 803, 839, 764, 602, 401, 213, 76, 4, 0, 0, 21, 33, 33, 25, 14, 7, 5, 7, 12, 18, 24, 29, 32, 34, 33, 29, 24, 18, 12, 7, 4, 3, 2, 3, 6, 14, 26, 41, 51, 48, 29, 0, 0, 4, 97, 273, 513, 769, 974, 1069, 1025, 856, 612, 360, 158, 35, 0, 0, 9, 22, 22, 11, 0, 0, 0, 0, 2, 6, 10, 15, 23, 30, 36, 38, 35, 29, 21, 13, 9, 6, 6, 8, 13, 21, 32, 43, 46, 36, 11, 0, 0, 50, 195, 419, 683, 924, 1073, 1084, 954, 722, 456, 223, 67, 0, 0, 2, 20, 25, 16, 5, 0, 0, 6, 12, 14, 13, 11, 11, 15, 23, 33, 42, 49, 51, 48, 42, 33, 23, 14, 9, 7, 10, 17, 28, 41, 54, 60, 53, 31, 0, 0, 5, 100, 279, 526, 793, 1014, 1127, 1097, 934, 685, 419, 197, 55, 0, 0, 1, 13, 13, 7, 2, 1, 0, 0, 0, 0, 38, 126, 263, 428, 581, 679, 692, 617, 476, 310, 161, 56, 3, 0, 0, 8, 11, 7, 2, 3, 11, 23, 33, 37, 35, 27, 19, 13, 12, 13, 16, 17, 15, 12, 7, 3, 0, 0, 0, 2, 7, 11, 15, 17, 16, 13, 9, 4, 0, 0, 0, 2, 7, 13, 19, 22, 21, 18, 13, 7, 3, 0, 0, 0, 2, 7, 15, 24, 29, 25, 12, 0, 0, 17, 97, 229, 395, 559, 675, 710, 652, 521, 354, 194, 75, 10, 0, 0, 8, 14, 11, 4, 0, 0, 0, 0, 4, 6, 6, 7, 7, 9, 13, 18, 22, 20, 12, 0, 0, 0, 46, 134, 257, 390, 500, 555, 538, 454, 328, 196, 88, 21, 0, 0, 4, 12, 13, 8, 1, 0, 0, 0, 0, 3, 5, 7, 9, 10, 11, 10, 8, 6, 4, 2, 1, 1, 2, 7, 16, 29, 38, 37, 21, 0, 0, 8, 100, 267, 492, 726, 909, 988, 937, 774, 547, 317, 136, 28, 0, 0, 8, 20, 18, 8, 0, 0, 0, 0, 4, 6, 5, 2, 0, 0, 1, 5, 10, 16, 20, 21, 19, 14, 9, 4, 0, 0, 0, 4, 10, 17, 25, 32, 38, 40, 39, 35, 29, 22, 16, 11, 9, 7, 7, 6, 4, 2, 1, 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, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 6, 6, 5, 4, 2, 0, 0, 0, 0, 1, 3, 5, 6, 7, 6, 5, 3, 1, 0, 0, 0, 0, 2, 3, 4, 5, 6, 6, 6, 6, 7, 9, 11, 15, 18, 20, 21, 20, 17, 14, 11, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 5, 7, 8, 9, 8, 7, 6, 6, 6, 7, 8, 8, 8, 6, 4, 2, 0, 0, 0, 0, 2, 3, 4, 4, 4, 3, 1, 0, 0, 0, 3, 8, 14, 20, 25, 26, 23, 18, 11, 4, 0, 0, 0, 5, 13, 22, 28, 32, 30, 25, 18, 10, 3, 0, 0, 0, 4, 10, 16, 21, 24, 23, 19, 14, 9, 7, 6, 9, 13, 20, 30, 42, 51, 50, 34, 5, 0, 0, 79, 256, 514, 809, 1071, 1227, 1232, 1084, 826, 532, 270, 89, 0, 0, 1, 25, 37, 33, 21, 8, 0, 0, 1, 5, 11, 18, 26, 35, 43, 47, 47, 43, 36, 27, 19, 14, 13, 15, 22, 30, 38, 44, 46, 44, 39, 32, 27, 23, 21, 22, 25, 31, 40, 47, 48, 35, 11, 0, 0, 48, 185, 398, 653, 892, 1048, 1077, 970, 758, 503, 267, 98, 8, 0, 0, 14, 22, 16, 5, 0, 0, 0, 4, 11, 16, 19, 19, 18, 16, 12, 8, 5, 2, 0, 0, 0, 2, 5, 10, 15, 19, 21, 22, 22, 21, 21, 22, 24, 27, 29, 31, 32, 32, 31, 31, 30, 30, 29, 28, 27, 25, 24, 23, 23, 24, 23, 21, 18, 13, 8, 3, 0, 0, 5, 13, 25, 36, 41, 35, 17, 0, 0, 22, 111, 262, 456, 654, 806, 872, 833, 700, 511, 313, 150, 44, 0, 0, 5, 21, 29, 29, 25, 22, 22, 25, 29, 32, 35, 36, 36, 36, 35, 34, 33, 31, 30, 29, 29, 30, 30, 32, 33, 36, 38, 39, 38, 34, 27, 18, 8, 1, 0, 3, 13, 26, 39, 47, 49, 43, 32, 19, 8, 2, 1, 4, 10, 17, 25, 33, 37, 35, 25, 7, 0, 0, 32, 122, 259, 422, 573, 672, 690, 622, 489, 328, 178, 69, 9, 0, 0, 10, 21, 26, 24, 16, 5, 0, 0, 16, 77, 181, 319, 466, 587, 650, 639, 556, 424, 275, 144, 51, 4, 0, 7, 24, 36, 37, 30, 20, 13, 10, 12, 19, 27, 35, 41, 44, 43, 39, 31, 23, 14, 9, 6, 6, 9, 16, 27, 39, 47, 45, 28, 1, 0, 0, 87, 258, 500, 767, 993, 1117, 1099, 947, 705, 440, 213, 64, 0, 0, 2, 18, 22, 13, 1, 0, 0, 0, 3, 6, 6, 4, 1, 0, 0, 0, 1, 2, 3, 3, 2, 1, 0, 0, 0, 0, 0, 1, 3, 6, 11, 16, 21, 25, 27, 27, 26, 24, 23, 23, 23, 24, 24, 23, 21, 18, 15, 12, 11, 10, 9, 7, 6, 3, 1, 1, 1, 3, 6, 9, 12, 14, 15, 15, 14, 13, 11, 9, 7, 4, 2, 1, 1, 1, 2, 3, 5, 7, 11, 15, 21, 26, 30, 32, 33, 32, 30, 29, 29, 29, 30, 31, 32, 32, 32, 32, 34, 38, 43, 46, 47, 43, 36, 25, 14, 5, 2, 5, 14, 25, 37, 44, 47, 43, 34, 23, 11, 3, 0, 0, 8, 21, 36, 49, 58, 60, 53, 40, 25, 11, 2, 1, 8, 20, 36, 51, 61, 60, 44, 18, 0, 0, 36, 152, 337, 563, 782, 936, 981, 903, 726, 500, 282, 116, 22, 0, 0, 6, 14, 14, 10, 7, 7, 4, 0, 0, 3, 48, 140, 275, 429, 566, 647, 649, 570, 435, 281, 144, 49, 1, 0, 0, 9, 15, 14, 13, 13, 17, 22, 25, 26, 25, 26, 29, 37, 46, 53, 57, 54, 45, 32, 17, 6, 0, 1, 9, 20, 33, 42, 46, 43, 36, 25, 14, 4, 0, 0, 4, 16, 32, 51, 67, 78, 79, 73, 60, 46, 34, 29, 32, 40, 52, 62, 68, 64, 50, 26, 1, 0, 6, 69, 181, 329, 486, 615, 681, 668, 579, 439, 284, 147, 51, 1, 0, 1, 22, 44, 58, 60, 48, 24, 0, 0, 23, 119, 282, 495, 717, 896, 982, 952, 813, 604, 378, 187, 59, 0, 0, 0, 13, 15, 9, 0, 0, 0, 4, 9, 12, 11, 8, 6, 7, 11, 18, 25, 30, 27, 17, 2, 0, 0, 43, 132, 261, 408, 538, 617, 622, 551, 425, 278, 146, 53, 4, 0, 0, 7, 13, 13, 12, 14, 20, 28, 35, 38, 36, 32, 28, 24, 21, 20, 19, 18, 17, 15, 14, 13, 13, 12, 12, 11, 9, 7, 5, 3, 2, 4, 7, 10, 14, 16, 15, 13, 9, 5, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 4, 5, 7, 10, 13, 17, 19, 20, 19, 16, 13, 10, 7, 3, 0, 0, 0, 3, 10, 19, 29, 37, 41, 39, 32, 22, 11, 3, 0, 0, 4, 12, 21, 29, 33, 35, 33, 29, 25, 21, 20, 20, 22, 25, 28, 30, 31, 31, 29, 26, 22, 19, 18, 21, 26, 34, 43, 53, 61, 62, 52, 30, 2, 0, 2, 80, 233, 448, 688, 898, 1022, 1027, 910, 706, 467, 251, 96, 12, 0, 0, 14, 24, 22, 14, 6, 3, 6, 12, 19, 24, 28, 31, 35, 38, 41, 43, 43, 40, 36, 31, 26, 21, 19, 19, 20, 21, 22, 22, 22, 22, 22, 23, 25, 28, 30, 32, 32, 30, 26, 22, 16, 11, 6, 2, 0, 0, 1, 4, 7, 9, 10, 9, 7, 4, 1, 0, 0, 0, 2, 5, 9, 12, 15, 15, 14, 12, 9, 6, 5, 5, 6, 7, 10, 13, 16, 21, 25, 29, 33, 35, 37, 38, 39, 41, 44, 49, 54, 58, 60, 59, 55, 49, 42, 36, 31, 29, 30, 32, 36, 41, 45, 49, 50, 49, 45, 39, 35, 33, 36, 41, 46, 45, 35, 18, 2, 0, 27, 94, 202, 335, 467, 570, 616, 596, 514, 392, 258, 141, 58, 15, 5, 14, 28, 37, 38, 32, 24, 18, 16, 21, 29, 38, 46, 51, 52, 47, 39, 29, 18, 10, 6, 7, 13, 23, 33, 43, 49, 50, 46, 37, 25, 13, 4, 1, 4, 16, 33, 54, 73, 85, 82, 62, 27, 0, 0, 39, 170, 384, 651, 919, 1123, 1210, 1155, 975, 718, 448, 221, 70, 0, 0, 6, 31, 49, 54, 52, 47, 41, 36, 32, 28, 28, 33, 45, 62, 80, 92, 89, 68, 33, 0, 0, 40, 157, 344, 576, 807, 983, 1057, 1004, 835, 589, 328, 117, 8, 24, 156, 364, 591, 777, 874, 861, 747, 568, 369, 195, 73, 10, 0, 0, 11, 17, 15, 9, 4, 4, 6, 10, 11, 10, 7, 3, 1, 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, 3, 6, 8, 11, 12, 12, 12, 12, 13, 15, 19, 23, 28, 34, 39, 43, 45, 45, 44, 41, 39, 38, 40, 43, 47, 49, 49, 45, 39, 31, 24, 20, 20, 26, 36, 47, 58, 65, 66, 61, 51, 40, 31, 26, 26, 31, 39, 46, 49, 46, 37, 25, 13, 4, 1, 4, 12, 23, 36, 46, 52, 51, 41, 23, 3, 0, 0, 47, 136, 262, 402, 524, 596, 599, 531, 412, 273, 146, 54, 5, 0, 0, 13, 28, 37, 39, 32, 17, 0, 0, 11, 78, 202, 374, 565, 734, 835, 838, 739, 560, 349, 163, 53, 48, 149, 326, 529, 702, 799, 797, 700, 538, 353, 189, 71, 8, 0, 1, 19, 32, 35, 30, 21, 12, 5, 2, 3, 8, 19, 35, 52, 69, 79, 75, 55, 23, 0, 0, 44, 171, 371, 615, 853, 1024, 1078, 997, 798, 533, 270, 76, 0, 39, 188, 393, 598, 748, 810, 773, 655, 488, 313, 164, 60, 5, 0, 0, 19, 34, 37, 25, 4, 0, 0, 61, 193, 393, 634, 869, 1041, 1106, 1044, 873, 636, 393, 191, 60, 0, 0, 0, 13, 16, 9, 1, 0, 0, 0, 1, 3, 4, 6, 10, 14, 19, 21, 19, 14, 8, 2, 0, 0, 3, 8, 13, 17, 21, 23, 26, 29, 33, 36, 37, 37, 35, 31, 29, 27, 29, 33, 39, 45, 49, 51, 50, 48, 48, 52, 58, 66, 69, 63, 46, 19, 0, 0, 42, 145, 306, 507, 709, 868, 945, 921, 801, 617, 411, 227, 94, 19, 0, 0, 9, 20, 25, 25, 25, 25, 25, 24, 19, 12, 6, 2, 2, 6, 13, 20, 26, 28, 27, 22, 17, 11, 6, 5, 6, 10, 16, 22, 27, 28, 27, 22, 17, 12, 10, 11, 14, 20, 27, 36, 45, 48, 42, 23, 0, 0, 11, 101, 271, 507, 772, 1006, 1152, 1169, 1053, 837, 575, 329, 143, 34, 0, 0, 6, 16, 14, 6, 0, 0, 0, 1, 5, 7, 5, 2, 0, 0, 1, 6, 11, 17, 22, 25, 25, 24, 21, 17, 12, 7, 4, 1, 1, 4, 8, 13, 18, 21, 22, 21, 20, 18, 17, 18, 20, 24, 29, 35, 40, 45, 48, 47, 44, 39, 34, 29, 27, 28, 32, 38, 45, 52, 58, 62, 63, 61, 55, 46, 36, 25, 15, 7, 3, 3, 6, 12, 19, 25, 28, 29, 27, 24, 21, 20, 20, 23, 27, 31, 37, 43, 45, 41, 26, 4, 0, 0, 64, 198, 399, 638, 866, 1027, 1078, 1006, 829, 595, 359, 170, 50, 0, 0, 3, 14, 16, 8, 0, 0, 0, 5, 14, 22, 25, 24, 20, 14, 8, 6, 8, 13, 22, 33, 42, 48, 51, 48, 42, 33, 23, 15, 8, 4, 2, 1, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 4, 4, 3, 2, 1, 0, 0, 0, 1, 3, 6, 11, 18, 26, 34, 39, 42, 41, 39, 34, 30, 25, 22, 18, 15, 12, 10, 8, 7, 8, 9, 12, 15, 17, 18, 17, 15, 12, 9, 6, 4, 3, 4, 5, 7, 10, 13, 17, 21, 26, 31, 36, 40, 44, 46, 48, 48, 48, 46, 43, 39, 34, 29, 26, 25, 27, 30, 33, 36, 36, 34, 28, 21, 12, 5, 0, 0, 1, 6, 13, 21, 28, 33, 36, 36, 33, 30, 27, 26, 28, 33, 40, 49, 55, 56, 48, 28, 4, 0, 4, 72, 207, 402, 631, 848, 1001, 1052, 987, 822, 600, 372, 184, 61, 2, 0, 0, 10, 13, 9, 4, 5, 13, 26, 38, 46, 49, 48, 45, 43, 43, 44, 45, 46, 47, 47, 46, 46, 47, 48, 50, 52, 54, 54, 51, 46, 38, 28, 18, 11, 9, 12, 22, 34, 45, 52, 52, 45, 33, 18, 6, 0, 0, 6, 19, 34, 48, 57, 60, 57, 49, 40, 33, 30, 33, 41, 53, 67, 78, 84, 79, 62, 35, 6, 0, 11, 85, 220, 408, 620, 813, 941, 971, 891, 719, 494, 273, 109, 40, 80, 212, 398, 588, 730, 792, 761, 649, 488, 317, 168, 63, 7, 0, 0, 16, 28, 30, 20, 3, 0, 0, 42, 136, 281, 461, 644, 792, 869, 858, 760, 600, 415, 242, 109, 28, 0, 0, 19, 42, 58, 66, 66, 60, 51, 42, 35, 30, 30, 34, 42, 51, 60, 64, 63, 55, 43, 28, 16, 10, 12, 23, 41, 63, 80, 87, 78, 54, 21, 0, 1, 55, 173, 348, 558, 762, 916, 982, 940, 798, 592, 372, 192, 95, 101, 204, 372, 557, 711, 792, 782, 684, 526, 350, 204, 127, 141, 242, 405, 587, 739, 823, 817, 725, 570, 391, 226, 102, 28, 0, 0, 3, 9, 8, 3, 0, 0, 0, 0, 3, 4, 3, 1, 0, 0, 0, 2, 5, 8, 9, 10, 9, 8, 7, 6, 6, 6, 7, 8, 8, 8, 9, 11, 15, 19, 23, 26, 27, 26, 22, 18, 13, 8, 5, 3, 1, 1, 1, 2, 3, 6, 8, 11, 13, 14, 15, 16, 17, 18, 19, 19, 17, 14, 10, 5, 2, 0, 1, 4, 9, 13, 16, 17, 15, 12, 8, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 11, 18, 22, 24, 22, 17, 11, 6, 2, 2, 4, 9, 14, 19, 22, 23, 21, 18, 13, 9, 6, 6, 9, 14, 21, 28, 32, 34, 32, 29, 26, 24, 26, 29, 33, 37, 37, 35, 29, 21, 13, 5, 0, 0, 0, 4, 11, 19, 27, 34, 38, 39, 37, 34, 31, 28, 27, 28, 29, 32, 34, 36, 36, 35, 31, 26, 18, 11, 4, 0, 0, 3, 10, 19, 29, 36, 40, 40, 37, 31, 25, 19, 15, 13, 14, 18, 23, 29, 32, 33, 30, 24, 18, 13, 12, 18, 29, 44, 59, 69, 70, 58, 33, 5, 0, 9, 83, 221, 416, 641, 854, 1008, 1068, 1018, 873, 666, 443, 247, 105, 23, 0, 0, 7, 20, 25, 23, 14, 3, 0, 1, 31, 92, 187, 308, 436, 545, 613, 623, 573, 475, 350, 224, 118, 45, 6, 0, 3, 16, 27, 30, 24, 12, 0, 0, 10, 56, 138, 252, 384, 509, 602, 641, 616, 533, 413, 280, 161, 73, 20, 0, 0, 2, 7, 9, 9, 10, 14, 21, 28, 34, 37, 35, 30, 23, 16, 11, 7, 8, 11, 18, 26, 34, 41, 46, 48, 47, 45, 42, 39, 37, 37, 37, 38, 39, 40, 40, 38, 36, 32, 27, 22, 18, 17, 18, 22, 30, 38, 47, 54, 57, 57, 53, 48, 41, 35, 31, 28, 27, 28, 29, 29, 29, 27, 24, 21, 17, 14, 12, 12, 15, 20, 27, 36, 46, 53, 53, 42, 21, 0, 0, 22, 111, 266, 477, 709, 916, 1051, 1081, 998, 824, 601, 377, 193, 70, 9, 0, 0, 8, 12, 8, 2, 0, 0, 0, 4, 6, 5, 2, 0, 0, 1, 6, 12, 18, 23, 26, 27, 27, 25, 25, 26, 29, 34, 40, 43, 39, 27, 9, 0, 0, 42, 139, 294, 492, 704, 888, 1001, 1016, 930, 762, 550, 341, 171, 59, 5, 0, 0, 8, 9, 5, 0, 0, 3, 14, 26, 35, 39, 36, 29, 20, 11, 4, 0, 0, 1, 6, 13, 19, 24, 26, 24, 20, 13, 6, 1, 0, 0, 6, 17, 29, 40, 47, 49, 44, 33, 21, 9, 0, 0, 2, 11, 23, 36, 46, 51, 49, 42, 31, 19, 9, 4, 6, 15, 30, 46, 60, 65, 58, 39, 16, 1, 11, 60, 157, 295, 457, 613, 729, 779, 749, 644, 491, 328, 200, 140, 165, 271, 430, 600, 735, 801, 780, 675, 516, 342, 198, 119, 123, 205, 341, 495, 626, 702, 707, 641, 523, 379, 239, 125, 48, 8, 0, 0, 9, 14, 15, 13, 9, 7, 7, 12, 22, 36, 53, 69, 82, 89, 88, 80, 66, 51, 39, 32, 32, 37, 45, 54, 59, 59, 54, 45, 33, 21, 11, 7, 8, 15, 27, 40, 51, 53, 45, 27, 8, 0, 21, 85, 201, 362, 549, 728, 862, 920, 885, 763, 582, 384, 218, 123, 121, 210, 364, 545, 705, 806, 826, 762, 633, 467, 301, 162, 67, 15, 0, 0, 3, 5, 4, 1, 1, 6, 15, 24, 32, 36, 36, 33, 29, 24, 20, 16, 13, 12, 13, 16, 21, 27, 33, 39, 41, 41, 38, 32, 25, 18, 13, 12, 13, 18, 25, 31, 35, 37, 35, 32, 28, 24, 22, 21, 23, 25, 28, 31, 32, 32, 29, 26, 23, 21, 23, 30, 39, 52, 64, 75, 81, 79, 68, 48, 24, 2, 0, 23, 93, 212, 373, 554, 725, 851, 904, 873, 763, 599, 416, 247, 117, 36, 0, 0, 5, 18, 26, 29, 27, 22, 17, 13, 10, 7, 6, 8, 10, 14, 17, 19, 20, 20, 18, 16, 16, 17, 20, 26, 33, 40, 46, 46, 38, 22, 4, 0, 5, 58, 163, 319, 509, 702, 861, 951, 951, 862, 704, 512, 323, 168, 65, 11, 0, 0, 5, 11, 13, 14, 18, 26, 35, 43, 48, 48, 44, 37, 29, 21, 14, 8, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 7, 10, 13, 16, 17, 18, 19, 20, 20, 21, 21, 20, 19, 17, 16, 16, 16, 18, 20, 23, 24, 25, 23, 20, 17, 14, 12, 11, 11, 11, 10, 8, 6, 3, 0, 0, 0, 1, 2, 4, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 2, 5, 8, 11, 12, 11, 8, 4, 0, 0, 0, 4, 11, 19, 27, 32, 33, 30, 24, 17, 12, 10, 13, 19, 29, 38, 45, 47, 44, 37, 26, 14, 5, 0, 0, 5, 15, 28, 41, 54, 63, 68, 69, 65, 61, 57, 57, 61, 70, 80, 89, 91, 83, 63, 38, 17, 19, 60, 151, 295, 476, 667, 830, 929, 939, 858, 704, 513, 334, 207, 162, 203, 316, 466, 613, 718, 755, 716, 611, 465, 311, 175, 77, 20, 0, 0, 2, 6, 6, 2, 0, 0, 0, 0, 4, 7, 10, 12, 12, 11, 9, 6, 3, 0, 0, 0, 0, 3, 8, 13, 16, 18, 17, 14, 9, 4, 0, 0, 0, 2, 6, 10, 14, 16, 15, 12, 8, 4, 1, 0, 0, 1, 4, 8, 12, 14, 15, 13, 8, 4, 0, 0, 3, 10, 20, 28, 32, 29, 18, 4, 0, 11, 58, 146, 273, 427, 582, 709, 779, 775, 698, 564, 403, 246, 122, 41, 2, 0, 0, 6, 7, 4, 0, 0, 0, 2, 6, 9, 11, 13, 14, 15, 15, 15, 15, 15, 17, 20, 27, 35, 43, 49, 53, 52, 49, 43, 36, 29, 23, 17, 13, 9, 8, 10, 13, 18, 22, 22, 18, 10, 1, 0, 10, 41, 98, 177, 270, 364, 441, 487, 492, 456, 385, 294, 200, 117, 56, 18, 1, 0, 0, 4, 5, 5, 4, 2, 1, 0, 0, 0, 2, 5, 11, 17, 22, 24, 24, 20, 16, 11, 9, 10, 15, 23, 32, 41, 44, 40, 28, 10, 0, 0, 33, 107, 222, 364, 509, 628, 694, 694, 628, 512, 374, 238, 127, 51, 10, 0, 0, 7, 12, 10, 2, 0, 0, 22, 76, 164, 278, 402, 513, 587, 610, 575, 492, 380, 261, 157, 79, 33, 15, 14, 21, 28, 31, 28, 22, 16, 14, 17, 26, 39, 52, 60, 58, 46, 27, 12, 16, 54, 136, 262, 418, 581, 719, 801, 809, 740, 610, 447, 283, 148, 55, 7, 0, 0, 6, 12, 10, 2, 0, 0, 15, 64, 145, 254, 377, 490, 571, 599, 570, 490, 378, 257, 149, 69, 21, 0, 0, 2, 7, 8, 7, 5, 4, 7, 13, 21, 29, 34, 36, 34, 29, 24, 20, 20, 25, 33, 44, 53, 60, 60, 56, 48, 40, 36, 39, 49, 61, 71, 71, 59, 41, 26, 30, 68, 144, 254, 377, 489, 561, 576, 531, 437, 318, 199, 103, 39, 7, 0, 3, 8, 10, 7, 3, 0, 0, 0, 2, 4, 5, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 4, 6, 7, 9, 10, 10, 9, 9, 9, 9, 11, 14, 18, 21, 24, 25, 26, 26, 26, 27, 30, 34, 39, 45, 51, 56, 60, 63, 65, 66, 66, 66, 67, 68, 70, 74, 78, 84, 89, 93, 96, 99, 102, 108, 117, 129, 145, 163, 181, 199, 218, 237, 257, 280, 306, 332, 360, 388, 417, 445, 472, 495, 510, 514, 501, 471, 424, 367, 304, 244, 192, 154, 131, 124, 130, 148, 173, 203, 235, 268, 301, 338, 381, 432, 494, 565, 641, 712, 771, 809, 823, 814, 790, 764, 748, 754, 787, 844, 916, 988, 1043, 1065, 1043, 973, 859, 715, 556, 400, 264, 157, 84, 42, 24, 21, 26, 31, 34, 33, 30, 25, 20, 15, 12, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 8, 9, 9, 9, 9, 9, 8, 6, 5, 4, 4, 5, 6, 8, 9, 9, 8, 7, 4, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 3, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 3, 4, 5, 6, 8, 9, 10, 12, 14, 17, 21, 25, 29, 32, 36, 38, 39, 38, 36, 32, 29, 26, 23, 22, 21, 20, 19, 19, 20, 22, 24, 27, 30, 32, 33, 34, 33, 33, 32, 31, 30, 29, 28, 27, 25, 23, 20, 17, 15, 13, 11, 10, 10, 10, 10, 9, 8, 6, 5, 3, 3, 3, 4, 5, 6, 6, 5, 4, 3, 2, 2, 2, 3, 4, 4, 4, 4, 5, 5, 6, 8, 11, 13, 15, 17, 18, 18, 18, 17, 17, 17, 16, 16, 15, 14, 13, 12, 12, 12, 13, 14, 16, 17, 17, 16, 15, 13, 11, 9, 7, 7, 7, 8, 9, 8, 7, 5, 3, 2, 2, 2, 3, 3, 3, 2, 1, 1, 1, 1, 3, 4, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 4, 5, 8, 12, 17, 22, 26, 30, 32, 32, 32, 31, 29, 28, 26, 25, 23, 22, 21, 20, 19, 18, 17, 16, 15, 13, 12, 11, 9, 8, 6, 5, 4, 3, 3, 4, 6, 7, 7, 6, 4, 3, 2, 2, 3, 4, 5, 5, 4, 4, 3, 4, 5, 8, 11, 15, 19, 21, 22, 23, 22, 20, 18, 15, 13, 11, 10, 9, 9, 9, 8, 7, 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, 1, 2, 3, 3, 4, 4, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 4, 7, 12, 18, 25, 32, 39, 43, 45, 45, 42, 39, 36, 34, 33, 33, 34, 36, 37, 37, 37, 36, 35, 34, 32, 31, 30, 29, 27, 26, 25, 25, 26, 27, 27, 27, 26, 24, 22, 21, 20, 19, 18, 18, 19, 19, 19, 20, 19, 18, 17, 17, 18, 21, 26, 33, 39, 44, 45, 44, 40, 36, 32, 29, 27, 26, 24, 22, 19, 16, 14, 12, 11, 11, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 14, 15, 17, 19, 22, 24, 26, 28, 29, 29, 28, 27, 25, 23, 21, 19, 18, 16, 14, 11, 9, 7, 5, 3, 2, 2, 3, 3, 4, 4, 4, 4, 3, 2, 2, 2, 2, 3, 4, 5, 6, 6, 7, 7, 7, 8, 8, 8, 8, 7, 7, 7, 7, 8, 11, 14, 18, 21, 24, 26, 26, 25, 23, 21, 18, 16, 15, 14, 14, 13, 13, 11, 10, 10, 11, 14, 19, 25, 32, 40, 45, 49, 50, 49, 47, 44, 42, 41, 41, 42, 44, 46, 48, 50, 51, 51, 50, 48, 44, 41, 38, 35, 33, 33, 33, 33, 33, 32, 30, 27, 24, 22, 19, 18, 19, 21, 24, 27, 29, 30, 28, 24, 20, 16, 13, 13, 14, 15, 15, 14, 12, 9, 6, 5, 4, 4, 5, 6, 6, 7, 7, 7, 8, 8, 8, 7, 5, 4, 3, 2, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 8, 11, 14, 18, 22, 25, 27, 28, 28, 27, 26, 25, 24, 25, 26, 28, 31, 34, 36, 37, 37, 35, 32, 29, 27, 26, 27, 28, 30, 32, 33, 34, 35, 35, 34, 33, 31, 29, 28, 28, 29, 31, 33, 35, 37, 36, 34, 31, 27, 23, 20, 17, 16, 16, 16, 16, 15, 13, 11, 9, 9, 10, 13, 17, 21, 24, 26, 28, 28, 28, 27, 25, 24, 22, 20, 19, 17, 16, 14, 12, 10, 7, 5, 3, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 5, 9, 14, 18, 22, 24, 24, 23, 21, 18, 16, 14, 13, 12, 11, 9, 7, 5, 3, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 3, 1, 0, 0, 0, 2, 5, 8, 11, 14, 16, 19, 21, 23, 24, 25, 26, 25, 25, 24, 24, 25, 26, 27, 28, 29, 30, 30, 30, 30, 30, 31, 32, 34, 36, 39, 41, 42, 43, 41, 39, 35, 32, 28, 25, 22, 21, 19, 17, 16, 15, 14, 13, 13, 12, 12, 10, 9, 8, 7, 7, 7, 8, 9, 9, 9, 8, 8, 8, 8, 9, 10, 12, 14, 16, 17, 17, 15, 12, 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, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 5, 8, 10, 13, 14, 15, 15, 15, 14, 13, 12, 11, 11, 10, 9, 8, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 3, 5, 8, 11, 13, 14, 14, 14, 12, 11, 9, 7, 5, 4, 4, 5, 7, 8, 8, 8, 7, 7, 6, 7, 7, 8, 9, 10, 11, 12, 13, 15, 18, 20, 23, 25, 27, 28, 29, 29, 28, 28, 27, 27, 26, 26, 25, 23, 20, 18, 15, 14, 13, 14, 14, 15, 15, 14, 13, 12, 11, 10, 9, 8, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 4, 3, 3, 2, 2, 1, 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, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 5, 8, 10, 12, 14, 14, 13, 12, 10, 8, 7, 6, 7, 7, 7, 6, 5, 4, 2, 1, 1, 2, 4, 7, 9, 11, 12, 12, 10, 9, 8, 7, 6, 6, 6, 6, 5, 4, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 3, 3, 3, 5, 8, 11, 13, 16, 16, 16, 14, 12, 10, 8, 7, 7, 8, 9, 11, 13, 14, 15, 14, 14, 14, 14, 15, 17, 20, 23, 25, 26, 27, 26, 26, 25, 24, 23, 22, 21, 20, 19, 19, 18, 18, 17, 15, 14, 13, 12, 12, 12, 12, 11, 10, 8, 6, 5, 4, 4, 5, 6, 7, 7, 6, 6, 6, 5, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 6, 9, 13, 16, 20, 23, 25, 25, 25, 24, 21, 19, 16, 14, 12, 11, 11, 10, 10, 8, 7, 5, 3, 2, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 12, 11, 10, 9, 7, 6, 6, 5, 5, 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, 1, 1, 2, 2, 3, 3, 4, 4, 5, 6, 7, 9, 10, 10, 10, 8, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 3, 2, 2, 1, 2, 3, 4, 6, 9, 13, 16, 21, 26, 31, 36, 39, 40, 40, 38, 36, 33, 31, 29, 28, 28, 27, 27, 26, 25, 24, 24, 24, 23, 23, 22, 20, 19, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 8, 8, 8, 8, 8, 7, 6, 6, 6, 7, 9, 10, 12, 13, 14, 15, 15, 15, 16, 16, 16, 16, 16, 15, 15, 16, 18, 20, 21, 23, 23, 23, 23, 23, 22, 20, 19, 17, 16, 14, 13, 12, 11, 9, 7, 5, 4, 3, 4, 5, 8, 11, 13, 15, 17, 17, 17, 16, 16, 15, 14, 13, 12, 11, 11, 10, 10, 10, 9, 8, 6, 5, 3, 2, 1, 1, 2, 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, 2, 3, 5, 6, 7, 7, 6, 5, 4, 3, 3, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 8, 10, 14, 18, 22, 25, 27, 27, 26, 24, 23, 21, 21, 21, 22, 22, 22, 20, 19, 17, 16, 15, 14, 14, 12, 10, 7, 4, 1, 0, 1, 3, 5, 8, 9, 9, 9, 8, 8, 9, 11, 13, 15, 17, 18, 18, 17, 17, 17, 18, 20, 22, 25, 27, 29, 31, 31, 32, 32, 31, 29, 27, 24, 21, 18, 16, 15, 15, 14, 14, 12, 10, 8, 6, 4, 3, 3, 2, 2, 3, 4, 5, 6, 7, 8, 8, 7, 6, 4, 3, 3, 3, 4, 6, 7, 8, 8, 9, 9, 11, 13, 15, 18, 20, 22, 24, 24, 24, 23, 21, 18, 16, 14, 13, 12, 13, 13, 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, 1, 1, 3, 4, 6, 9, 12, 14, 16, 17, 17, 17, 16, 16, 16, 15, 15, 15, 14, 14, 14, 14, 13, 13, 12, 10, 8, 5, 3, 1, 0, 0, 0, 0, 1, 1, 1, 2, 3, 5, 6, 8, 11, 13, 16, 18, 20, 21, 22, 22, 21, 20, 20, 21, 23, 26, 30, 33, 34, 33, 31, 28, 26, 25, 26, 29, 33, 36, 39, 41, 42, 42, 40, 38, 35, 32, 30, 29, 29, 30, 31, 32, 32, 31, 30, 28, 27, 25, 24, 24, 22, 21, 19, 18, 16, 15, 14, 14, 13, 12, 10, 9, 8, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 3, 1, 0, 0, 1, 2, 4, 5, 5, 5, 4, 3, 3, 4, 6, 9, 11, 14, 15, 17, 17, 18, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 6, 4, 2, 1, 0, 1, 2, 4, 5, 6, 6, 6, 6, 6, 5, 4, 2, 1, 0, 0, 0, 1, 2, 3, 3, 3, 4, 4, 6, 8, 10, 12, 14, 16, 18, 19, 21, 21, 21, 20, 18, 16, 14, 12, 11, 10, 9, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 4, 5, 6, 7, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 11, 12, 13, 15, 18, 20, 23, 24, 25, 25, 24, 23, 22, 22, 23, 23, 23, 23, 22, 21, 20, 20, 19, 18, 17, 16, 14, 13, 12, 13, 14, 15, 17, 18, 18, 18, 18, 17, 16, 16, 16, 16, 15, 14, 13, 12, 10, 10, 10, 10, 11, 12, 13, 13, 12, 12, 13, 13, 15, 16, 17, 17, 16, 13, 10, 7, 5, 4, 5, 6, 7, 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, 1, 2, 4, 6, 8, 9, 10, 11, 11, 11, 10, 10, 10, 11, 10, 10, 9, 8, 7, 7, 7, 7, 6, 6, 5, 3, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 3, 4, 5, 5, 6, 6, 6, 6, 7, 8, 9, 9, 9, 8, 6, 4, 3, 2, 1, 2, 2, 3, 4, 3, 3, 2, 1, 1, 1, 2, 3, 4, 5, 5, 5, 4, 3, 3, 3, 3, 3, 3, 2, 2, 1, 2, 4, 6, 9, 13, 17, 20, 24, 27, 29, 29, 29, 28, 27, 25, 23, 22, 20, 17, 15, 12, 9, 7, 6, 5, 4, 5, 5, 5, 5, 6, 7, 8, 9, 10, 10, 11, 12, 12, 12, 12, 11, 10, 8, 7, 5, 4, 3, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 4, 5, 7, 8, 9, 8, 8, 7, 6, 6, 5, 4, 3, 2, 1, 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, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 6, 7, 7, 7, 7, 6, 6, 6, 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, 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, 0, 0, 0, 0, 0, 0, 1, 2, 3, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 10, 13, 16, 19, 21, 23, 25, 27, 29, 31, 33, 34, 35, 34, 32, 29, 26, 23, 21, 20, 20, 19, 17, 15, 12, 9, 7, 6, 7, 8, 9, 9, 8, 8, 7, 7, 7, 8, 8, 8, 8, 6, 5, 5, 5, 5, 6, 6, 5, 4, 3, 3, 4, 5, 7, 8, 9, 8, 8, 7, 6, 6, 7, 9, 11, 13, 15, 17, 19, 20, 22, 22, 23, 23, 23, 22, 21, 20, 18, 17, 17, 16, 15, 14, 12, 11, 9, 8, 7, 7, 7, 7, 7, 7, 7, 8, 8, 7, 6, 5, 4, 3, 3, 3, 3, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 3, 5, 5, 6, 5, 4, 3, 3, 3, 4, 4, 4, 4, 3, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 3, 6, 8, 10, 11, 12, 13, 13, 12, 12, 12, 11, 11, 12, 12, 12, 11, 10, 8, 7, 6, 5, 5, 5, 5, 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, 0, 1, 1, 2, 4, 5, 7, 9, 11, 12, 12, 11, 10, 9, 7, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 7, 8, 9, 10, 11, 12, 12, 12, 11, 10, 9, 8, 7, 6, 6, 6, 6, 6, 5, 5, 4, 3, 3, 2, 2, 1, 0, 0, 0, 0, 1, 2, 3, 4, 4, 3, 1, 0, 0, 0, 1, 2, 3, 4, 4, 5, 6, 7, 9, 11, 13, 15, 17, 18, 19, 20, 20, 20, 19, 17, 15, 14, 13, 12, 11, 10, 9, 8, 6, 5, 4, 4, 3, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 3, 5, 6, 6, 6, 5, 5, 6, 7, 9, 11, 13, 13, 13, 12, 10, 8, 7, 6, 5, 6, 7, 8, 8, 8, 7, 6, 5, 4, 3, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 5, 5, 5, 6, 5, 5, 4, 3, 2, 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, 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, 4, 6, 8, 10, 12, 13, 13, 13, 12, 12, 11, 11, 11, 11, 12, 12, 12, 11, 9, 8, 7, 7, 8, 9, 11, 12, 14, 16, 17, 18, 19, 19, 18, 17, 17, 16, 16, 17, 17, 16, 15, 12, 10, 7, 6, 6, 7, 8, 9, 10, 10, 10, 9, 9, 9, 10, 11, 11, 11, 10, 9, 7, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 8, 10, 12, 13, 13, 13, 12, 10, 9, 7, 6, 5, 5, 4, 3, 2, 2, 2, 2, 3, 4, 5, 5, 6, 6, 6, 7, 7, 8, 9, 10, 12, 13, 14, 15, 15, 15, 14, 13, 12, 11, 11, 10, 10, 10, 10, 10, 9, 9, 9, 9, 10, 11, 12, 12, 13, 14, 15, 16, 18, 18, 19, 19, 19, 18, 17, 16, 16, 15, 14, 12, 10, 9, 7, 6, 5, 5, 5, 4, 4, 3, 1, 0, 0, 0, 1, 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 12, 14, 15, 17, 19, 20, 20, 20, 19, 19, 18, 18, 17, 16, 15, 14, 12, 11, 9, 8, 7, 5, 3, 1, 0, 0, 0, 2, 3, 5, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 6, 4, 3, 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, 0, 0, 1, 2, 4, 4, 4, 4, 3, 2, 3, 3, 4, 6, 7, 7, 6, 6, 5, 4, 4, 4, 4, 4, 3, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 7, 8, 9, 9, 10, 11, 12, 13, 14, 14, 14, 13, 12, 12, 12, 13, 14, 13, 12, 11, 9, 8, 7, 7, 8, 9, 9, 10, 10, 9, 8, 7, 5, 4, 3, 2, 1, 2, 3, 4, 6, 7, 8, 8, 8, 8, 8, 8, 8, 9, 10, 11, 12, 12, 12, 11, 9, 7, 6, 6, 7, 8, 9, 9, 7, 5, 2, 1, 1, 3, 6, 8, 9, 9, 9, 8, 8, 8, 9, 10, 10, 10, 9, 8, 7, 7, 6, 5, 3, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 4, 5, 5, 6, 7, 7, 8, 9, 10, 12, 13, 14, 14, 14, 13, 11, 11, 10, 10, 10, 9, 9, 8, 7, 7, 8, 8, 9, 9, 9, 8, 8, 8, 8, 10, 11, 13, 13, 13, 12, 11, 10, 9, 10, 10, 11, 11, 9, 8, 6, 4, 4, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 5, 6, 6, 7, 8, 8, 9, 9, 9, 10, 11, 12, 12, 11, 10, 10, 10, 10, 11, 13, 15, 16, 17, 19, 20, 21, 22, 22, 22, 21, 20, 19, 18, 18, 18, 17, 17, 16, 15, 14, 12, 11, 10, 9, 9, 9, 10, 11, 11, 10, 8, 7, 6, 5, 5, 6, 8, 9, 10, 12, 14, 15, 17, 19, 20, 21, 23, 24, 26, 28, 29, 30, 30, 31, 32, 34, 37, 40, 42, 43, 42, 39, 35, 30, 26, 23, 22, 21, 20, 20, 19, 17, 16, 14, 12, 11, 9, 9, 8, 8, 9, 9, 10, 10, 9, 8, 7, 7, 7, 7, 7, 7, 6, 5, 4, 3, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 3, 3, 3, 3, 3, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 6, 8, 9, 9, 8, 7, 6, 4, 3, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 7, 8, 9, 9, 9, 9, 9, 9, 8, 7, 7, 6, 5, 6, 6, 7, 8, 9, 9, 9, 9, 9, 9, 11, 12, 14, 16, 16, 16, 16, 16, 16, 17, 19, 22, 24, 25, 26, 26, 26, 27, 28, 30, 32, 34, 36, 36, 35, 33, 31, 28, 27, 26, 26, 28, 28, 29, 27, 25, 23, 21, 19, 18, 18, 18, 17, 16, 15, 14, 13, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 34, 36, 38, 38, 38, 37, 36, 35, 35, 34, 34, 33, 32, 31, 30, 29, 28, 27, 26, 26, 25, 25, 25, 25, 25, 25, 26, 26, 27, 28, 30, 31, 32, 33, 33, 33, 33, 34, 35, 35, 35, 33, 31, 27, 24, 21, 19, 17, 17, 17, 17, 16, 15, 14, 13, 11, 10, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 8, 8, 7, 7, 7, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 4, 3, 2, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 16, 17, 17, 16, 15, 14, 12, 11, 10, 10, 9, 9, 8, 6, 4, 3, 2, 2, 3, 4, 4, 4, 3, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 6, 6, 7, 9, 11, 13, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 23, 23, 23, 22, 22, 23, 24, 26, 27, 27, 26, 24, 21, 19, 18, 18, 20, 22, 24, 25, 25, 23, 21, 19, 18, 17, 16, 16, 15, 14, 12, 10, 10, 10, 10, 11, 11, 11, 10, 9, 8, 7, 7, 7, 8, 8, 8, 8, 7, 6, 5, 4, 3, 3, 3, 4, 5, 6, 8, 9, 10, 10, 10, 9, 8, 7, 7, 7, 9, 10, 12, 12, 12, 12, 11, 9, 8, 8, 7, 7, 7, 8, 9, 10, 10, 10, 9, 8, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 5, 6, 7, 7, 8, 9, 9, 9, 10, 12, 13, 16, 18, 19, 20, 19, 18, 17, 17, 17, 17, 17, 18, 17, 16, 15, 15, 14, 14, 14, 13, 12, 11, 9, 8, 8, 8, 9, 9, 9, 9, 9, 8, 7, 6, 5, 5, 5, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 7, 6, 5, 3, 1, 0, 0, 0, 1, 3, 4, 5, 4, 3, 1, 0, 0, 1, 3, 4, 4, 3, 2, 1, 0, 0, 0, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 2, 4, 5, 6, 7, 8, 8, 8, 7, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 4, 5, 5, 5, 3, 1, 0, 0, 0, 2, 5, 8, 11, 14, 15, 16, 16, 16, 17, 17, 18, 19, 20, 21, 22, 23, 23, 24, 24, 23, 22, 20, 18, 16, 14, 13, 13, 12, 11, 10, 8, 7, 6, 6, 6, 6, 5, 5, 4, 3, 2, 2, 3, 4, 5, 6, 6, 5, 5, 4, 3, 3, 4, 5, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 11, 12, 13, 13, 14, 15, 15, 16, 17, 18, 18, 18, 17, 16, 15, 15, 15, 15, 17, 18, 20, 22, 22, 22, 21, 21, 20, 21, 23, 25, 28, 30, 31, 31, 31, 30, 30, 31, 32, 35, 37, 39, 40, 40, 40, 39, 39, 39, 39, 39, 39, 38, 37, 36, 36, 35, 35, 35, 35, 34, 33, 32, 31, 30, 29, 28, 27, 27, 27, 28, 29, 30, 30, 30, 29, 28, 27, 26, 26, 26, 27, 27, 27, 26, 25, 24, 22, 21, 20, 19, 19, 19, 19, 19, 18, 18, 17, 17, 18, 19, 20, 21, 20, 19, 17, 16, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 16, 17, 18, 19, 21, 22, 24, 25, 26, 27, 28, 30, 32, 34, 36, 38, 40, 40, 40, 41, 42, 43, 44, 45, 44, 43, 41, 40, 39, 39, 39, 39, 40, 39, 38, 37, 37, 36, 36, 35, 35, 34, 33, 32, 31, 30, 29, 29, 29, 29, 28, 27, 25, 23, 21, 18, 17, 15, 15, 15, 15, 15, 15, 15, 14, 14, 14, 14, 15, 16, 17, 18, 18, 18, 18, 18, 18, 19, 20, 21, 21, 21, 20, 19, 18, 18, 19, 19, 20, 20, 19, 19, 18, 17, 17, 16, 16, 16, 15, 14, 13, 12, 11, 10, 10, 10, 11, 11, 12, 12, 11, 10, 9, 8, 7, 7, 6, 6, 6, 6, 7, 8, 8, 9, 9, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 6, 5, 4, 3, 3, 3, 3, 3, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 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, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 7, 8, 10, 11, 12, 13, 13, 12, 10, 8, 7, 7, 8, 11, 13, 15, 16, 15, 13, 12, 12, 12, 14, 15, 16, 17, 16, 16, 15, 15, 14, 14, 14, 13, 12, 11, 10, 10, 10, 10, 9, 9, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 8, 9, 11, 13, 15, 15, 15, 14, 14, 15, 16, 16, 16, 16, 15, 13, 12, 12, 11, 11, 11, 11, 11, 10, 9, 9, 8, 7, 7, 6, 6, 6, 6, 7, 7, 7, 7, 6, 5, 5, 5, 5, 6, 7, 8, 9, 9, 9, 8, 7, 7, 6, 5, 4, 4, 4, 5, 5, 6, 5, 4, 3, 1, 0, 0, 1, 1, 2, 2, 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, 1, 1, 1, 1, 2, 2, 3, 4, 6, 7, 8, 9, 9, 10, 11, 12, 13, 14, 15, 15, 14, 12, 10, 9, 9, 10, 11, 12, 13, 13, 12, 11, 10, 10, 10, 11, 12, 13, 13, 12, 10, 8, 7, 7, 7, 7, 7, 7, 6, 6, 6, 7, 9, 11, 13, 14, 13, 12, 9, 7, 6, 5, 5, 6, 6, 8, 10, 12, 15, 18, 20, 20, 20, 18, 16, 15, 14, 14, 15, 16, 17, 18, 19, 19, 19, 18, 17, 17, 16, 16, 16, 15, 15, 15, 14, 14, 14, 15, 15, 15, 14, 13, 12, 11, 10, 10, 10, 10, 11, 11, 11, 11, 11, 10, 9, 9, 9, 9, 9, 10, 9, 9, 7, 6, 6, 6, 6, 7, 7, 6, 5, 3, 2, 2, 2, 2, 3, 4, 4, 5, 5, 6, 7, 7, 8, 7, 7, 6, 5, 4, 3, 4, 4, 5, 5, 5, 6, 5, 5, 5, 6, 7, 7, 8, 8, 8, 8, 8, 9, 10, 11, 13, 15, 16, 17, 18, 18, 18, 19, 19, 20, 21, 23, 24, 25, 25, 25, 25, 25, 26, 27, 29, 30, 30, 30, 29, 27, 25, 24, 22, 21, 20, 20, 20, 21, 21, 22, 22, 22, 22, 20, 19, 17, 16, 16, 15, 16, 16, 15, 14, 12, 10, 7, 6, 4, 4, 5, 6, 7, 7, 7, 6, 5, 4, 3, 2, 1, 1, 1, 2, 4, 5, 5, 5, 3, 2, 0, 0, 0, 0, 1, 2, 4, 6, 8, 9, 8, 8, 7, 7, 7, 8, 9, 10, 11, 11, 11, 11, 12, 13, 15, 17, 19, 20, 21, 21, 21, 21, 21, 21, 21, 21, 22, 23, 25, 28, 30, 31, 31, 30, 28, 26, 24, 23, 22, 23, 23, 23, 22, 22, 21, 20, 20, 20, 20, 19, 18, 16, 14, 12, 11, 11, 11, 12, 13, 14, 14, 14, 14, 13, 13, 12, 12, 11, 11, 11, 11, 12, 12, 12, 13, 13, 13, 13, 12, 11, 9, 7, 7, 7, 8, 9, 10, 11, 10, 10, 8, 7, 6, 6, 6, 5, 5, 5, 4, 3, 3, 2, 1, 1, 0, 1, 2, 4, 6, 7, 8, 7, 6, 4, 2, 2, 2, 3, 4, 5, 5, 5, 5, 5, 6, 8, 10, 12, 13, 13, 13, 13, 14, 15, 17, 18, 19, 20, 20, 19, 19, 19, 20, 20, 20, 19, 17, 15, 14, 13, 13, 13, 13, 13, 11, 9, 8, 6, 6, 6, 6, 7, 7, 6, 6, 5, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 7, 9, 11, 13, 15, 16, 16, 15, 14, 14, 14, 15, 17, 19, 20, 20, 19, 18, 16, 14, 13, 12, 11, 12, 12, 13, 13, 14, 13, 13, 12, 12, 11, 11, 11, 11, 9, 8, 7, 6, 6, 6, 7, 7, 6, 5, 4, 2, 2, 2, 3, 4, 5, 6, 6, 7, 7, 6, 6, 5, 5, 3, 3, 2, 2, 2, 3, 3, 4, 5, 5, 6, 6, 7, 7, 7, 5, 4, 2, 0, 0, 0, 0, 1, 2, 3, 3, 2, 2, 2, 3, 4, 5, 5, 5, 5, 4, 4, 3, 3, 3, 2, 2, 3, 3, 4, 5, 6, 7, 6, 5, 4, 2, 2, 2, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 2, 3, 4, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 2, 1, 0, 0, 1, 2, 3, 3, 3, 3, 3, 2, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 4, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 6, 5, 5, 6, 7, 9, 10, 11, 11, 11, 10, 11, 12, 14, 17, 19, 20, 21, 20, 19, 18, 18, 18, 19, 19, 20, 21, 22, 23, 23, 24, 24, 23, 22, 21, 21, 20, 19, 18, 17, 15, 15, 16, 17, 19, 20, 20, 18, 16, 13, 11, 10, 10, 11, 12, 12, 12, 10, 9, 7, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 1, 3, 4, 5, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 4, 4, 4, 4, 3, 2, 2, 2, 3, 5, 6, 6, 6, 6, 6, 7, 8, 10, 11, 12, 12, 11, 9, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 5, 4, 3, 3, 4, 5, 5, 5, 5, 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, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 4, 5, 7, 8, 8, 8, 7, 7, 8, 10, 12, 13, 14, 14, 13, 11, 10, 10, 10, 11, 12, 12, 13, 12, 12, 12, 13, 14, 15, 16, 16, 15, 14, 13, 12, 12, 12, 13, 13, 13, 12, 11, 10, 10, 11, 12, 13, 13, 13, 12, 11, 10, 8, 8, 7, 8, 9, 11, 13, 14, 15, 15, 13, 10, 7, 5, 5, 6, 9, 11, 12, 12, 12, 11, 10, 10, 10, 11, 11, 11, 11, 11, 10, 11, 12, 12, 13, 14, 16, 17, 19, 21, 22, 23, 24, 23, 21, 19, 18, 18, 18, 19, 20, 20, 19, 17, 15, 13, 13, 14, 16, 17, 18, 18, 17, 16, 16, 16, 17, 18, 19, 20, 19, 19, 18, 18, 17, 17, 17, 17, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 16, 16, 16, 15, 14, 13, 12, 12, 13, 13, 14, 15, 15, 15, 15, 14, 13, 12, 11, 11, 10, 11, 11, 12, 13, 13, 13, 13, 12, 12, 11, 10, 9, 9, 9, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 9, 8, 7, 6, 7, 8, 10, 11, 11, 11, 10, 9, 9, 9, 10, 11, 11, 11, 10, 8, 7, 6, 6, 6, 7, 8, 7, 6, 5, 3, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 3, 3, 3, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 3, 4, 5, 5, 6, 7, 8, 8, 8, 9, 9, 8, 7, 7, 6, 5, 5, 6, 8, 9, 10, 11, 12, 12, 11, 11, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 12, 13, 14, 14, 14, 14, 13, 12, 11, 10, 9, 8, 7, 6, 4, 3, 2, 2, 3, 5, 7, 9, 11, 11, 10, 9, 7, 6, 5, 5, 5, 6, 6, 6, 6, 7, 7, 8, 8, 8, 7, 6, 5, 5, 6, 7, 8, 9, 8, 7, 5, 3, 3, 3, 5, 7, 9, 10, 11, 10, 10, 9, 9, 10, 10, 11, 11, 10, 10, 9, 9, 9, 9, 10, 10, 11, 12, 12, 12, 12, 12, 11, 11, 11, 11, 11, 11, 12, 13, 15, 17, 18, 19, 19, 18, 16, 14, 14, 14, 15, 17, 18, 19, 20, 19, 18, 18, 17, 18, 19, 21, 22, 24, 25, 26, 26, 26, 25, 24, 23, 22, 21, 21, 22, 24, 25, 26, 26, 25, 24, 23, 22, 22, 22, 22, 22, 22, 21, 21, 19, 18, 17, 16, 15, 15, 16, 18, 20, 21, 22, 20, 18, 15, 12, 11, 11, 12, 13, 14, 14, 14, 12, 11, 10, 10, 10, 10, 9, 8, 6, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 2, 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, 1, 1, 1, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 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, 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, 2, 3, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 6, 6, 6, 6, 6, 7, 8, 9, 10, 10, 10, 10, 10, 9, 8, 7, 7, 6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 7, 7, 6, 5, 5, 5, 5, 5, 5, 4, 2, 1, 0, 0, 0, 1, 2, 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, 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, 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, 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, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 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, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 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, 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, 1, 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, 1, 1, 1, 1, 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, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 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, 1, 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, 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, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 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, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 1, 1, 1, 1, 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, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 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, 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, 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, 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, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 3, 4, 4, 3, 3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 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, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
"basecallPos": [443, 457, 467, 476, 486, 500, 514, 524, 535, 549, 562, 578, 587, 598, 609, 618, 630, 642, 656, 668, 681, 691, 701, 714, 724, 738, 750, 761, 772, 784, 794, 808, 820, 831, 842, 853, 865, 876, 888, 901, 910, 923, 936, 949, 961, 975, 990, 1000, 1013, 1024, 1033, 1045, 1058, 1069, 1082, 1094, 1106, 1118, 1130, 1143, 1157, 1170, 1180, 1191, 1202, 1212, 1226, 1239, 1252, 1263, 1273, 1286, 1299, 1308, 1321, 1332, 1344, 1354, 1366, 1379, 1392, 1405, 1418, 1431, 1442, 1454, 1467, 1478, 1490, 1503, 1515, 1527, 1539, 1551, 1564, 1575, 1586, 1598, 1610, 1622, 1634, 1647, 1659, 1671, 1684, 1697, 1708, 1720, 1732, 1744, 1756, 1766, 1777, 1787, 1799, 1811, 1824, 1836, 1848, 1860, 1874, 1887, 1900, 1911, 1924, 1935, 1947, 1959, 1970, 1982, 1993, 2005, 2018, 2029, 2040, 2052, 2065, 2076, 2087, 2098, 2109, 2121, 2132, 2146, 2158, 2170, 2182, 2194, 2206, 2219, 2230, 2241, 2254, 2266, 2278, 2291, 2304, 2317, 2328, 2338, 2350, 2363, 2374, 2387, 2398, 2409, 2421, 2434, 2445, 2458, 2470, 2482, 2493, 2505, 2517, 2529, 2540, 2551, 2562, 2576, 2588, 2600, 2613, 2623, 2634, 2647, 2659, 2670, 2683, 2696, 2708, 2719, 2731, 2743, 2756, 2767, 2778, 2789, 2801, 2813, 2825, 2836, 2848, 2859, 2871, 2882, 2894, 2907, 2918, 2931, 2944, 2957, 2970, 2982, 2994, 3005, 3016, 3028, 3040, 3052, 3064, 3075, 3086, 3099, 3111, 3122, 3133, 3145, 3157, 3169, 3183, 3194, 3205, 3217, 3230, 3241, 3254, 3266, 3277, 3289, 3301, 3313, 3326, 3338, 3350, 3362, 3373, 3384, 3397, 3410, 3422, 3433, 3446, 3458, 3471, 3482, 3495, 3507, 3519, 3530, 3541, 3554, 3566, 3579, 3591, 3602, 3614, 3627, 3637, 3650, 3662, 3674, 3687, 3700, 3712, 3722, 3734, 3745, 3757, 3770, 3782, 3795, 3808, 3820, 3832, 3845, 3856, 3868, 3881, 3892, 3905, 3918, 3929, 3942, 3954, 3966, 3977, 3989, 4000, 4013, 4025, 4037, 4049, 4060, 4072, 4083, 4095, 4108, 4120, 4133, 4145, 4156, 4168, 4180, 4193, 4205, 4218, 4231, 4244, 4255, 4266, 4278, 4290, 4303, 4315, 4327, 4338, 4349, 4361, 4374, 4385, 4397, 4409, 4421, 4434, 4445, 4458, 4470, 4481, 4493, 4504, 4516, 4527, 4540, 4553, 4565, 4577, 4590, 4602, 4613, 4625, 4637, 4649, 4661, 4672, 4684, 4696, 4709, 4721, 4732, 4745, 4757, 4769, 4781, 4793, 4805, 4818, 4831, 4843, 4855, 4866, 4878, 4890, 4901, 4913, 4925, 4938, 4950, 4962, 4975, 4987, 4999, 5009, 5021, 5033, 5046, 5058, 5070, 5082, 5094, 5106, 5118, 5130, 5142, 5153, 5165, 5177, 5188, 5201, 5213, 5226, 5237, 5251, 5263, 5274, 5286, 5297, 5310, 5322, 5335, 5346, 5359, 5370, 5383, 5395, 5406, 5418, 5429, 5441, 5453, 5465, 5477, 5489, 5502, 5512, 5525, 5538, 5550, 5562, 5575, 5587, 5598, 5609, 5621, 5634, 5646, 5657, 5669, 5682, 5693, 5705, 5717, 5728, 5741, 5754, 5766, 5777, 5789, 5801, 5813, 5826, 5838, 5849, 5861, 5872, 5885, 5897, 5909, 5922, 5933, 5946, 5958, 5970, 5981, 5994, 6007, 6019, 6030, 6042, 6054, 6067, 6080, 6092, 6103, 6114, 6126, 6138, 6149, 6161, 6174, 6186, 6198, 6209, 6221, 6233, 6246, 6258, 6270, 6283, 6295, 6307, 6319, 6331, 6342, 6353, 6365, 6376, 6389, 6402, 6415, 6427, 6440, 6452, 6465, 6476, 6487, 6499, 6510, 6522, 6535, 6546, 6558, 6571, 6584, 6595, 6606, 6618, 6630, 6643, 6654, 6666, 6678, 6689, 6702, 6714, 6727, 6739, 6751, 6764, 6776, 6788, 6799, 6810, 6822, 6833, 6846, 6858, 6871, 6883, 6896, 6908, 6919, 6931, 6943, 6955, 6968, 6979, 6991, 7003, 7015, 7025, 7038, 7050, 7062, 7075, 7087, 7099, 7112, 7124, 7135, 7148, 7159, 7171, 7182, 7193, 7205, 7216],
"basecalls": {"443":"1:G", "457":"2:A", "467":"3:C", "476":"4:A", "486":"5:T", "500":"6:G", "514":"7:C", "524":"8:A", "535":"9:T", "549":"10:T", "562":"11:G", "578":"12:A", "587":"13:A", "598":"14:C", "609":"15:C", "618":"16:A", "630":"17:A", "642":"18:G", "656":"19:T", "668":"20:T", "681":"21:T", "691":"22:A", "701":"23:T", "714":"24:C", "724":"25:A", "738":"26:G", "750":"27:A", "761":"28:T", "772":"29:A", "784":"30:A", "794":"31:T", "808":"32:G", "820":"33:T", "831":"34:A", "842":"35:T", "853":"36:A", "865":"37:T", "876":"38:A", "888":"39:C", "901":"40:C", "910":"41:A", "923":"42:C", "936":"43:C", "949":"44:C", "961":"45:G", "975":"46:G", "990":"47:A", "1000":"48:G", "1013":"49:C", "1024":"50:A", "1033":"51:C", "1045":"52:C", "1058":"53:T", "1069":"54:A", "1082":"55:T", "1094":"56:C", "1106":"57:C", "1118":"58:C", "1130":"59:T", "1143":"60:G", "1157":"61:G", "1170":"62:T", "1180":"63:A", "1191":"64:A", "1202":"65:A", "1212":"66:T", "1226":"67:G", "1239":"68:G", "1252":"69:A", "1263":"70:A", "1273":"71:T", "1286":"72:G", "1299":"73:A", "1308":"74:T", "1321":"75:T", "1332":"76:A", "1344":"77:C", "1354":"78:A", "1366":"79:C", "1379":"80:G", "1392":"81:T", "1405":"82:G", "1418":"83:G", "1431":"84:C", "1442":"85:A", "1454":"86:G", "1467":"87:A", "1478":"88:C", "1490":"89:G", "1503":"90:T", "1515":"91:C", "1527":"92:C", "1539":"93:T", "1551":"94:C", "1564":"95:T", "1575":"96:A", "1586":"97:A", "1598":"98:C", "1610":"99:C", "1622":"100:C", "1634":"101:G", "1647":"102:T", "1659":"103:C", "1671":"104:G", "1684":"105:G", "1697":"106:T", "1708":"107:G", "1720":"108:T", "1732":"109:T", "1744":"110:T", "1756":"111:T", "1766":"112:A", "1777":"113:C", "1787":"114:A", "1799":"115:C", "1811":"116:C", "1824":"117:T", "1836":"118:A", "1848":"119:T", "1860":"120:G", "1874":"121:G", "1887":"122:G", "1900":"123:G", "1911":"124:C", "1924":"125:G", "1935":"126:C", "1947":"127:C", "1959":"128:C", "1970":"129:C", "1982":"130:C", "1993":"131:A", "2005":"132:G", "2018":"133:C", "2029":"134:A", "2040":"135:A", "2052":"136:G", "2065":"137:A", "2076":"138:A", "2087":"139:T", "2098":"140:A", "2109":"141:T", "2121":"142:C", "2132":"143:A", "2146":"144:G", "2158":"145:T", "2170":"146:G", "2182":"147:C", "2194":"148:C", "2206":"149:C", "2219":"150:T", "2230":"151:A", "2241":"152:C", "2254":"153:G", "2266":"154:T", "2278":"155:G", "2291":"156:G", "2304":"157:G", "2317":"158:A", "2328":"159:A", "2338":"160:T", "2350":"161:T", "2363":"162:G", "2374":"163:C", "2387":"164:T", "2398":"165:A", "2409":"166:A", "2421":"167:T", "2434":"168:G", "2445":"169:C", "2458":"170:G", "2470":"171:T", "2482":"172:A", "2493":"173:T", "2505":"174:T", "2517":"175:C", "2529":"176:C", "2540":"177:C", "2551":"178:A", "2562":"179:C", "2576":"180:T", "2588":"181:T", "2600":"182:T", "2613":"183:T", "2623":"184:A", "2634":"185:T", "2647":"186:G", "2659":"187:A", "2670":"188:T", "2683":"189:G", "2696":"190:G", "2708":"191:G", "2719":"192:T", "2731":"193:T", "2743":"194:T", "2756":"195:G", "2767":"196:C", "2778":"197:A", "2789":"198:A", "2801":"199:A", "2813":"200:A", "2825":"201:G", "2836":"202:T", "2848":"203:A", "2859":"204:C", "2871":"205:C", "2882":"206:A", "2894":"207:C", "2907":"208:T", "2918":"209:A", "2931":"210:G", "2944":"211:C", "2957":"212:G", "2970":"213:G", "2982":"214:G", "2994":"215:T", "3005":"216:C", "3016":"217:A", "3028":"218:A", "3040":"219:G", "3052":"220:C", "3064":"221:C", "3075":"-", "3086":"-", "3099":"222:T", "3111":"223:C", "3122":"224:A", "3133":"225:A", "3145":"226:C", "3157":"227:T", "3169":"228:G", "3183":"229:A", "3194":"230:A", "3205":"-", "3217":"231:G", "3230":"232:G", "3241":"233:C", "3254":"234:G", "3266":"235:A", "3277":"236:T", "3289":"237:T", "3301":"238:C", "3313":"239:G", "3326":"240:T", "3338":"241:T", "3350":"242:G", "3362":"243:T", "3373":"244:A", "3384":"245:C", "3397":"246:G", "3410":"247:G", "3422":"248:T", "3433":"249:G", "3446":"250:C", "3458":"251:T", "3471":"252:G", "3482":"253:C", "3495":"254:C", "3507":"255:T", "3519":"256:C", "3530":"257:A", "3541":"258:C", "3554":"259:T", "3566":"260:G", "3579":"261:A", "3591":"262:A", "3602":"263:T", "3614":"264:G", "3627":"265:A", "3637":"266:T", "3650":"267:T", "3662":"268:T", "3674":"269:T", "3687":"270:G", "3700":"271:G", "3712":"272:A", "3722":"273:T", "3734":"274:C", "3745":"275:A", "3757":"276:C", "3770":"277:T", "3782":"278:G", "3795":"279:G", "3808":"280:C", "3820":"281:T", "3832":"282:G", "3845":"283:T", "3856":"284:C", "3868":"285:C", "3881":"286:G", "3892":"287:C", "3905":"288:G", "3918":"289:T", "3929":"290:G", "3942":"291:G", "3954":"292:T", "3966":"293:A", "3977":"294:A", "3989":"295:A", "4000":"296:T", "4013":"297:G", "4025":"298:A", "4037":"299:C", "4049":"300:C", "4060":"301:A", "4072":"302:C", "4083":"303:A", "4095":"304:A", "4108":"305:C", "4120":"306:C", "4133":"307:C", "4145":"308:C", "4156":"309:A", "4168":"310:C", "4180":"311:G", "4193":"312:C", "4205":"313:G", "4218":"314:G", "4231":"315:C", "4244":"316:T", "4255":"317:C", "4266":"318:A", "4278":"319:C", "4290":"320:C", "4303":"321:T", "4315":"322:C", "4327":"323:C", "4338":"324:A", "4349":"325:A", "4361":"326:G", "4374":"327:A", "4385":"328:T", "4397":"329:C", "4409":"330:A", "4421":"331:G", "4434":"332:A", "4445":"333:G", "4458":"334:T", "4470":"335:G", "4481":"336:T", "4493":"337:A", "4504":"338:C", "4516":"339:A", "4527":"340:T", "4540":"341:G", "4553":"342:A", "4565":"343:A", "4577":"344:G", "4590":"345:C", "4602":"346:C", "4613":"347:A", "4625":"348:A", "4637":"349:A", "4649":"350:G", "4661":"351:C", "4672":"352:A", "4684":"353:T", "4696":"354:G", "4709":"355:T", "4721":"356:C", "4732":"357:A", "4745":"358:G", "4757":"359:A", "4769":"360:G", "4781":"361:T", "4793":"362:C", "4805":"363:T", "4818":"364:G", "4831":"365:G", "4843":"366:T", "4855":"367:G", "4866":"368:C", "4878":"369:C", "4890":"370:C", "4901":"371:A", "4913":"372:C", "4925":"373:G", "4938":"374:A", "4950":"375:C", "4962":"376:C", "4975":"377:T", "4987":"378:C", "4999":"379:C", "5009":"380:A", "5021":"381:C", "5033":"382:G", "5046":"383:A", "5058":"384:G", "5070":"385:C", "5082":"386:A", "5094":"387:G", "5106":"388:T", "5118":"389:C", "5130":"390:C", "5142":"391:C", "5153":"392:A", "5165":"393:T", "5177":"394:A", "5188":"395:C", "5201":"396:T", "5213":"397:T", "5226":"398:C", "5237":"399:G", "5251":"400:G", "5263":"401:A", "5274":"402:C", "5286":"403:C", "5297":"404:A", "5310":"405:G", "5322":"406:G", "5335":"407:T", "5346":"408:G", "5359":"409:T", "5370":"410:T", "5383":"411:G", "5395":"412:A", "5406":"413:T", "5418":"414:T", "5429":"415:A", "5441":"416:T", "5453":"417:A", "5465":"418:A", "5477":"419:A", "5489":"420:G", "5502":"421:A", "5512":"422:T", "5525":"423:G", "5538":"424:G", "5550":"425:G", "5562":"426:C", "5575":"427:T", "5587":"428:C", "5598":"429:A", "5609":"430:C", "5621":"431:C", "5634":"432:C", "5646":"433:C", "5657":"434:A", "5669":"435:C", "5682":"436:T", "5693":"437:A", "5705":"438:C", "5717":"439:C", "5728":"440:A", "5741":"441:G", "5754":"442:A", "5766":"443:A", "5777":"444:A", "5789":"445:A", "5801":"446:G", "5813":"447:G", "5826":"448:G", "5838":"449:A", "5849":"450:C", "5861":"451:T", "5872":"452:A", "5885":"453:A", "5897":"454:C", "5909":"455:G", "5922":"456:A", "5933":"457:C", "5946":"458:T", "5958":"459:T", "5970":"460:A", "5981":"461:T", "5994":"462:G", "6007":"463:G", "6019":"464:A", "6030":"465:T", "6042":"466:T", "6054":"467:T", "6067":"468:G", "6080":"469:G", "6092":"470:A", "6103":"471:C", "6114":"472:A", "6126":"473:C", "6138":"474:C", "6149":"475:A", "6161":"476:A", "6174":"477:A", "6186":"478:A", "6198":"479:C", "6209":"480:A", "6221":"481:A", "6233":"482:A", "6246":"483:G", "6258":"484:C", "6270":"485:T", "6283":"486:G", "6295":"487:T", "6307":"488:G", "6319":"489:T", "6331":"490:A", "6342":"491:C", "6353":"492:A", "6365":"493:C", "6376":"494:A", "6389":"495:G", "6402":"496:C", "6415":"497:T", "6427":"498:G", "6440":"499:G", "6452":"500:C", "6465":"501:T", "6476":"502:A", "6487":"503:C", "6499":"504:A", "6510":"505:A", "6522":"506:A", "6535":"507:A", "6546":"508:T", "6558":"509:T", "6571":"510:T", "6584":"511:G", "6595":"512:C", "6606":"513:A", "6618":"514:A", "6630":"515:T", "6643":"516:T", "6654":"517:A", "6666":"518:C", "6678":"519:C", "6689":"520:A", "6702":"521:C", "6714":"522:C", "6727":"523:T", "6739":"524:A", "6751":"525:G", "6764":"526:C", "6776":"527:T", "6788":"528:A", "6799":"529:C", "6810":"530:A", "6822":"531:C", "6833":"532:A", "6846":"533:A", "6858":"534:G", "6871":"535:A", "6883":"536:A", "6896":"537:G", "6908":"538:A", "6919":"539:C", "6931":"540:T", "6943":"541:T", "6955":"542:G", "6968":"543:C", "6979":"544:A", "6991":"545:A", "7003":"546:A", "7015":"547:A", "7025":"548:T", "7038":"549:G", "7050":"550:C", "7062":"551:C", "7075":"552:G", "7087":"553:T", "7099":"554:G", "7112":"555:A", "7124":"556:G", "7135":"557:T", "7148":"558:G", "7159":"559:T", "7171":"560:C", "7182":"561:A", "7193":"562:T", "7205":"563:G", "7216":"564:T"}
}
]
}