view test-data/0352/poliovirus2sabin.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": "TCGAGATACCCCACATATAGAGCAAAAAGCGCTAACACAGGGGCTAGGTCAGATGCTTGAGGGCATGATTGACAACACAGTCCGTGAAACAGTGGGGGCAGTAACGTCTAGGGACGCTCTCCCAAACACCGAAGCCAGTGGACCAGCACACTCCAAGGAAATCCCGGCACTCACCGCAGTGGAAACTGGGGCTACAAATCCACTAGTTCCTTCTGATACAATACAAACCAGACATGTTATACAGCACAGGTCAAGGTCAGAGTCTAGCATAGAATCTTTCTTCGCGCGGGGTGCATGCGTGGCCATTATGACCGTGGATAACTCAGTTTCCACTAGTGATAAGGATAAGCTATTTGCAGTGTGGAAGATCACTTATAAAGACACTGTCCAGTTGCGGAGGAAATTGGAGTTCTTCACCTATTCTAGATTTGACATGGAATTTACCTTTGTGATTACTGCAAATTTCACTGAGACTAACAATGGGCACGCCTTAAATCAAGTGTACCAAATTATGTACGTACCACCAGGCGCTCCAGTGCCCGAGAAATGGGATGACTACACATGGCAAACCTCTTCAAATCCGTCAATCTTTTACACTTACGGAACAGCCCCAGCCCGGATCTCGGTACCGTATGTTGGTATTTCGAACGCCTACTCACACTTTTACGACGGTTTTTCCAAAATACCACTGAAGGACCAGTCGGCAGCACTAGGTGACTCCCTCTATGGTGCAGCATCTTTAAATGACTTCGGTATTTTGGCTGTTAGAGTAGTCAATGACCACAACCCGACCAAGGTCACCTCCAAAATCAGAGTGTATCTAAAACCCAAACACATCAGAGTCTGGTGCCCGCGTCCACCGAGGGCAGTGGCATACTACGGCCCTGGAGTTGATTACAAGGATGGTACACTTACACCCCTCTCCACCAAGGATCTGACTACATATGGATTTGGGCACCAAAACAAAGCAGTGTACACAGCAGGCTACAAAATCTGCAACTATCATTTGGCCACACAGGAAGACCTCCAAAATGCGGTTAGTAT",
"gappedConsensus": "-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------TCGAGATACCCCACATATAGAGCAAAAAGCGCTAACACAGGGGCTAGGTCAGATGCTTGAGGGCATGATTGACAACACAGTCCGTGAAA--CAGTGGGGGCAGTAACGTCTAGGGACGCTCTCCCAAACACCGAAGCC-AGTGGACCAGCACACTCCAAGGAAATCCCGGCACTCACCGCAGTGGAAACTGGGGCTACAAATCCACTAGTTCCTTCTGATACAATACAAACCAGACATGTTATACAGCACAGGTCAAGGTCAGAGTCTAGCATAGAATCTTTCTTCGCGCGGGGTGCATGCGTGGCCATTATGACCGTGGATAACTCAGTTTCCACTA-GTGATA-AGGATAAGCTATTTGCAGTGTGGAAGATCACTTATAAAGACACTGTCCAGTTGCGGAGGAAATTGGAGTTCTTCACCTATTCTAGATTTGACATGGAATTTACCTTTGTGATTACTGCAAATTTCACTGAGACTAACAATGGGCACGCCTTAAATCAAGTGTACCAAATTATGTACGTACCACCAGGCGCTCCAGTGCCCGAGAAATGGGATGACTACACATGGCAAACCTCTTCAAATCCGTCAATCTTTTACACTTACGGAACAGCCCCAGCCCGGATCTCGGTACCGTATGTTGGTATTTCGAACGCCTACTCACACTTTTACGACGGTTTTTCCAAAATACCACTGAAGGACCAGTCGGCAGCACTAGGTGACTCCCTCTATGGTGCAGCATCTTTAAATGACTTCGGTATTTTGGCTGTTAGAGTAGTCAATGACCACAACCCGACCAAGGTCACCTCCAAAATCAGAGTGTATCTAAAACCCAAACACATCAGAGTCTGGTGCCCGCGTCCACCGAGGGCAGTGGCATACTACGGCCCTGGAGTTGATTACAAGGATGGTACACTTACACCCCTCTCCACCAAGGATCTGACTACATATGGATTTGGGCACCAAAACAAAGCAGTGTACACAGCAGGCTACAAAATCTGCAACTATCATTTGGCCACACAGGAAGACCTCCAAAATGCGGTTAGTAT---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------",
"msa": 
[
{
"reference": false,
"forward": true,
"traceFileName": "dataset_152172",
"leadingGaps": "2859",
"trailingGaps": "3957",
"align": "TCACCTATTCTAGATTTGACATGGAATTTACCTTTGTGATTACTGCAAATTTCACTGAGACTAACAATGGGCACGCCTTAAATCAAGTGTACCAAATTATGTACGTACCACCAGGCGCTCCAGTGCCCGAGAAATGGGATGACTACACATGGCAAACCTCTTCAAATCCGTCAATCTTTTACACTTACGGAACAGCCCCAGCCCGGATCTCGGTACCGTATGTTGGTATTTCGAACGCCTACTCACACTTTTACGACGGTTTTTCCAAAATACCACTGAAGGACCAGTCGGCAGCACTAGGTGACTCCCTCTATGGTGCAGCATCTTTAAATGACTTCGGTATTTTGGCTGTTAGAGTAGTCAATGACCACAACCCGACCAAGGTCACCTCCAAAATCAGAGTGTATCTAAAACCCAAACACATCAGAGTCTGGTGCCCGCGTCCACCGAGGGCAGTGGCATACTACGGCCCTGGAGTTGATTACAAGGATGGTACACTTACACCCCTCTCCACCAAGGATCTGACTACATATGGATTTGGGCACCAAAACAAAGCAGTGTACACAGCAGGCTACAAAATCTGCAACTATCATTTGGCCACACAGGAAGACCTCCAAAATGCGGTTAGTAT"
}
,
{
"reference": false,
"forward": false,
"traceFileName": "dataset_152171",
"leadingGaps": "2612",
"trailingGaps": "4004",
"align": "ACTCACCGCAGTGGAAACTGGGGCTACAAATCCACTAGTTCCTTCTGATACAATACAAACCAGACATGTTATACAGCACAGGTCAAGGTCAGAGTCTAGCATAGAATCTTTCTTCGCGCGGGGTGCATGCGTGGCCATTATGACCGTGGATAACTCAGTTTCCACTA-GTGATA-AGGATAAGCTATTTGCAGTGTGGAAGATCACTTATAAAGACACTGTCCAGTTGCGGAGGAAATTGGAGTTCTTCACCTATTCTAGATTTGACATGGAATTTACCTTTGTGATTACTGCAAATTTCACTGAGACTAACAATGGGCACGCCTTAAATCAAGTGTACCAAATTATGTACGTACCACCAGGCGCTCCAGTGCCCGAGAAATGGGATGACTACACATGGCAAACCTCTTCAAATCCGTCAATCTTTTACACTTACGGAACAGCCCCAGCCCGGATCTCGGTACCGTATGTTGGTATTTCGAACGCCTACTCACACTTTTACGACGGTTTTTCCAAAATACCACTGAAGGACCAGTCGGCAGCACTAGGTGACTCCCTCTATGGTGCAGCATCTTTAAATGACTTCGGTATTTTGGCTGTTAGAGTAGTCAATGACCACAACCCGACCAAGGTCACCTCCAAAATCAGAGTGTATCTAAAACCCAAACACATCAGAGTCTGGTGCCCGCGTCCACCGAGGGCAGTGGCATACTACGGCCCTGGAGTTGATTACAAGGATGGTACACTTACACCCCTCTCCACCAAGGATCTGACTACATATGGATTTGGGCACCAAAACAAAGCAGTGTACACAGCAGGCTACAAAATCTGC"
}
,
{
"reference": false,
"forward": true,
"traceFileName": "dataset_152174",
"leadingGaps": "2534",
"trailingGaps": "4116",
"align": "GTGGGGGCAGTAACGTCTAGGGACGCTCTCCCAAACACCGAAGCC-AGTGGACCAGCACACTCCAAGGAAATCCCGGCACTCACCGCAGTGGAAACTGGGGCTACAAATCCACTAGTTCCTTCTGATACAATACAAACCAGACATGTTATACAGCACAGGTCAAGGTCAGAGTCTAGCATAGAATCTTTCTTCGCGCGGGGTGCATGCGTGGCCATTATGACCGTGGATAACTCAGTTTCCACTA-GTGATA-AGGATAAGCTATTTGCAGTGTGGAAGATCACTTATAAAGACACTGTCCAGTTGCGGAGGAAATTGGAGTTCTTCACCTATTCTAGATTTGACATGGAATTTACCTTTGTGATTACTGCAAATTTCACTGAGACTAACAATGGGCACGCCTTAAATCAAGTGTACCAAATTATGTACGTACCACCAGGCGCTCCAGTGCCCGAGAAATGGGATGACTACACATGGCAAACCTCTTCAAATCCGTCAATCTTTTACACTTACGGAACAGCCCCAGCCCGGATCTCGGTACCGTATGTTGGTATTTCGAACGCCTACTCACACTTTTACGACGGTTTTTCCAAAATACCACTGAAGGACCAGTCGGCAGCACTAGGTGACTCCCTCTATGGTGCAGCATCTTTAAATGACTTCGGTATTTTGGCTGTTAGAGTAGTCAATGACCACAACCCGACCAAGGTCACCTCCAAAATCAGAGTGTATCTAAAACCCAAACACATCAGAGTCTGGTGCCCGCGTCCACCGAGGGCAGTGGCATACTACGGCCC"
}
,
{
"reference": false,
"forward": false,
"traceFileName": "dataset_152173",
"leadingGaps": "2441",
"trailingGaps": "4709",
"align": "TCGAGATACCCCACATATAGAGCAAAAAGCGCTAACACAGGGGCTAGGTCAGATGCTTGAGGGCATGATTGACAACACAGTCCGTGAAA--CAGTGGGGGCAGTAACGTCTAGGGACGCTCTCCCAAACACCGAAGCC-AGTGGACCAGCACACTCCAAGGAAATCCCGGCACTCACCGCAGTGGAAACTGGGGCTACAAATCCACTAGTTCCTTCTGATACAATACAAACCAGACATGTTATACAGCACAGGTCAAGGTCAGAGTCTAGCATAGAATCTTTCTTCGCGCGGGGTGC"
}
,
{
"reference": true,
"forward": true,
"traceFileName": "",
"leadingGaps": "0",
"trailingGaps": "0",
"align": "TTAAAACAGCTCTGGGGTTGTACCCACCCCAGAGGCCCACGTGGCGGCTAGCACTCCGGTATTACGGTACCCTTGTGCGCCTGTTTTATACTCCCCTCCCGCAACTTAGAAGCACGAAACCAAGTTCAATAGAAGGGGGTACAAACCAGTACCACTACGAACAAGCACTTCTGTTTCCCCGGTGACATTGCATAGACTGCTCACGCGGTTGAAAGTGATCGATCCGTTACCCGCTTGTGTACTTCGAAAAGCCTAGTATCGCCTTGGAATCTTCGACGCGTTGCGCTCAGCACCCGACCCCGGGGTGTAGCTTAGGCTGATGAGTCTGGACATTCCTCACCGGTGACGGTGGTCCAGGCTGCGTTGGCGGCCTACCTATGGCTAACGCCATAGGACGTTAGATGTGAACAAGGTGTGAAGAGCCTATTGAGCTACATAAGAGTCCTCCGGCCCCTGAATGCGGCTAATCCTAACCACGGAACAGGCGGTCGCGAACCAGTGACTGGCTTGTCGTAACGCGCAAGTCTGTGGCGGAACCGACTACTTTGGGTGTCCGTGTTTCCTGTTATTTTTATCATGGCTGCTTATGGTGACAATCAGAGATTGTTATCATAAAGCGAATTGGATTGGCCATCCGGTGAGTGTTGTGTCAGGTATACAACTGTTTGTTGGAACCACTGTGTTAGCTTTACTTCTCATTTAACCAATTAATCAAAAACAATACGAGGATAAAACAACAATACTACAATGGGCGCCCAAGTTTCATCACAGAAAGTTGGAGCCCACGAAAATTCAAACAGAGCCTATGGCGGGTCCACCATCAATTACACTACAATCAATTACTATAGGGACTCTGCAAGCAATGCAGCAAGCAAGCAAGATTTTGCACAAGATCCGTCCAAGTTCACCGAACCCATTAAGGACGTCCTTATTAAGACCGCTCCCATGCTAAACTCCCCAAACATTGAGGCGTGTGGTTATAGTGACAGGGTAATGCAGCTAACTCTGGGCAATTCAACGATCACCACCCAAGAAGCGGCCAATTCTGTTGTTGCCTACGGTAGATGGCCTGAATACATCAGAGATACCGAGGCAAATCCTGTAGACCAACCAACCGAGCCCGATGTAGCCGCGTGCAGGTTCTACACATTAGATACCGTCACTTGGCGCAAGGAGTCCAGAGGGTGGTGGTGGAAACTACCAGACGCTTTAAAAGACATGGGGTTATTTGGTCAAAACATGTTTTATCACTATCTTGGGAGGGCTGGCTACACAGTGCACGTACAGTGCAATGCTTCAAAGTTTCATCAAGGAGCTCTAGGGGTGTTTGCAGTTCCAGAAATGTGTTTAGCTGGTGATAGCACAACTCACATGTTCACAAAGTACGAGAATGCGAATCCAGGCGAAAAAGGAGGTGAATTCAAAGGGAGTTTCACCCTTGATACCAACGCCACTAACCCTGCACGGAACTTCTGCCCAGTTGATTACCTCTTCGGGAGTGGAGTGCTGGTAGGGAATGCATTTGTTTATCCACATCAAATAATAAACCTGCGCACTAACAACTGTGCTACGCTAGTATTGCCCTATGTAAACTCACTCTCAATAGATAGCATGACAAAGCACAACAACTGGGGGATCGCTATCCTCCCCCTGGCGCCACTAGACTTTGCCACTGAATCTTCCACTGAGATACCCATTACACTGACCATTGCTCCCATGTGCTGCGAATTCAATGGTTTACGCAACATCACTGTGCCAAGAACCCAAGGATTACCAGTCCTGAACACTCCAGGGAGTAACCAGTACCTGACCGCAGACAATTACCAGTCTCCGTGTGCGATACCTGAGTTTGATGTCACTCCACCCATAGACATACCAGGGGAGGTGCGCAACATGATGGAATTGGCGGAAATAGACACCATGATACCCCTCAACTTGACAAGTCAACGCAAGAACACAATGGACATGTATAGAGTCGAGTTGAGCGACACGGCTCACTCTGACACGCCGATCTTGTGTCTCTCGTTGTCCCCCGCTTCAGACCCCAGATTGGCACACACTATGTTGGGTGAGATATTAAATTACTACACACACTGGGCAGGGTCCTTGAAATTTACCTTTCTCTTTTGCGGCTCAATGATGGCCACCGGAAAGTTATTGGTTTCTTACGCACCACCCGGAGCAGAGGCCCCCAAGAGTCGCAAAGAAGCAATGCTTGGGACACATGTGATATGGGACATTGGGTTGCAGTCTTCATGCACTATGGTGGTACCTTGGATCAGTAATACCACATACAGACAAACCATCAACGATAGTTTCACAGAAGGTGGCTACATTAGCATGTTCTATCAAACTAGGGTTGTTGTCCCGTTGTCCACACCCAGAAAGATGGACATCCTGGGTTTTGTGTCAGCTTGCAATGACTTCAGTGTGCGCTTACTGCGAGATACAACACACATTAGTCAAGAGGCTATGCCACAAGGAATTGGTGACATGATTGAGGGGGCCGTTGA--AGGGATTACTAAAAATGCATTGGTTCCCCCGACTTCCACCAATAGCCTGCCTGACACA-AAGCCGAGCGGTCCAGCCCACTCCAAGGAGATACCTGCATTGACAGCCGTGGAGACAGGGGCTACCAATCCGTTGGTGCCTTCGGACACCGTGCAAACGCGCCATGTCATCCAGAGACGAACGCGATCAGAGTCCACGGTTGAGTCATTCTTTGCAAGAGGGGCTTGCGTGGCTATCATTGAGGTGGACAATGATGCACCGACAAAGCGCGCCAGCAGAT--TGTTTTCGGTTTGGAAAATAACTTACAAAGATACTGTTCAACTGAGACGCAAACTGGAATTTTTCACATATTCGAGATTTGACATGGAGTTCACTTTTGTGGTCACCTCAAACTACATTGATGCAAATAACGGACATGCATTGAACCAAGTTTATCAGATAATGTATATACCACCCGGAGCACCTATCCCTGGTAAATGGAATGACTATACGTGGCAGACGTCCTCTAACCCGTCGGTGTTTTACACCTATGGGGCGCCCCCAGCAAGAATATCAGTGCCCTACGTGGGAATTGCTAATGCGTATTCCCACTTTTATGATGGGTTTGCAAAAGTACCACTAGCGGGTCAAGCCTCAACTGAAGGCGATTCGTTGTACGGTGCTGCCTCACTGAATGATTTTGGATCACTGGCTGTTCGCGTGGTAAATGATCACAACCCCACGCGGCTCACCTCCAAGATCAGAGTGTACATGAAGCCAAAGCATGTCAGAGTCTGGTGCCCACGACCTCCACGAGCAGTCCCATACTTCGGACCAGGTGTTGATTATAAAGATGGG---CTCACCCCACTACCAGAAAAGGGATTAACGACTTATGGATTTGGACACCAAAACAAAGCTGTGTACACAGCTGGCTACAAAATTTGCAATTACCACCTAGCTACACAAGAAGACTTGCAAAATGCCGTGAGTGTCATGTGGAACAGAGACCTCTTAGTGGCTGAATCAAGGGCCCTTGGCACCGACTCGATCGCAAGGTGCAGCTGTAACACGGGTGTGTACTACTGTGAATCCAGGAGAAAATATTATCCAGTTTCTTTCATTGGGCCCACCTTCCAATACATGGAAGCCAATGAATATTACCCGGCTAGATATCAATCACACATGCTTATTGGTCATGGGTTTGCATCACCGGGTGATTGTGGTGGCATACTTAGATGTCAACACGGGGTGATAGGAATAATCACTGCTGGTGGGGAAGGCTTGGTTGCATTTTCAGACATTAGAGACCTGTATGCTTATGAGGAGGAAGCTATGGAGCAGGGCATTTCCAACTATATTGAGTCACTTGGTGCTGCATTTGGTAGTGGATTCACTCAACAAATTGGTGATAAAGTTTCCGAGCTAACCAGCATGGTAACTAGCACCATTACAGAGAAGTTGCTTAAAAACTTAATCAAAATTATCTCATCACTTGTGATCATTACCAGGAATTATGAGGACACTACCACAGTGCTTGCCACCCTCGCCCTCCTTGGGTGCGACATCTCACCGTGGCAGTGGCTAAAGAAGAAGGCATGTGACATCCTGGAAATTCCATACGCCATCAAACAAGGAGATAGTTGGTTGAAGAAATTCACTGAGGCATGTAATGCTGCAAAGGGACTGGAGTGGGTGTCCAATAAGATATCCAAATTCATTAGTTGGTTGCAGGATAAAATCATCCCACAAGCGAGAGACAAATTAGAGTTTGTCACTAAACTAAAGCAATTAGAAATGCTTGAAAATCAGATTTCCACCATACACCAATCTTGTCCAAGTCAAGAACATCAGGAGATCTTATTCAACAATGTGCGGTGGCTATCTATCCAGTCCAAGAGGTTTGCACCACTATATGCACATGAAGCTAAAAGGATTCAAAAGCTGGAGCATACCATAAATAATTACGTACAGTTCAAGAGCAAGCACCGTATTGAGCCAGTATGTTTGTTAGTACATGGCAGTCCAGGGACAGGAAAATCAGTTGCAACCAATCTAATTGCTAGAGCAATAGCCGAGAAAGAGAACACCTCCACATACTCACTGCCACCTGATCCGTCTCACTTTGATGGCTACAAGCAACAGGGTGTGGTTATTATGGATGACCTAAACCAAAATCCAGACGGAGCAGACATGAAACTTTTTTGTCAAATGGTGTCCACTGTGGAGTTTATTCCACCGATGGCCTCGCTAGAAGAGAAAGGCATTTTGTTCACATCTAATTACGTTTTAGCCTCCACCAACTCCAGTCGGATCACACCACCCACGGTGGCTCACAGTGATGCGCTGGCCAGGAGATTCGCATTTGACGTGGACATACAAGTCATGAGCGAGTACTCCAGAGACGGAAAGCTCAACATGGCAATGGCTACTGAAATGTGCAAAAACTGTCATCAACCAGCAAACTTCAAAAGATGTTGTCCTTTAGTGTGTGGCAAGGCAATTCAGTTAATGGATAAATCTTCCAGGGTTAGATACAGCATTGATCAGATCACTACAATGATTGTTAATGAGAGAAACAGAAGATCAAACATTGGTAATTGCATGGAAGCTCTATTCCAGGGACCACTGCAGTATAAAGATCTAAAAATAGATGTTAAGACCAGTCCCCCTCCGGAGTGTATCAACGATTTGCTCCAGGCAGTTGATTCCCAGGAAGTGAGAGATTACTGTGAAAAGAAAGGCTGGATTGTTAACATTACCAGTCAGGTTCAAACAGAGAGGAACATCAACCGGGCGATGACTATCCTACAAGCAGTAACTACTTTCGCTGCAGTAGCCGGTGTCGTGTACGTTATGTACAAGCTGTTCGCTGGGCACCAGGGTGCATACACTGGTTTGCCAAATAAACGACCCAATGTACCCACTATCAGGACAGCAAAAGTGCAAGGCCCTGGGTTTGATTACGCAGTGGCCATGGCTAAAAGAAACATTGTTACAGCAACCACCAGCAAAGGGGAGTTTACGATGTTGGGAGTCTATGATAATGTGGCCATCTTGCCAACCCACGCCTCACCTGGTGAAAGCATTGCGATCGACGGTAAAGAGGTGGAAATTCTTGACGCCAAAGCCCTTGAAGATCAGGCAGGAACTAATCTTGAAATTACCATAATTACACTAAAGAGGAACGAGAAGTTCAGAGATATCAGGCCACACATTCCCACCCAAATCACCGAAACAAATGATGGAGTTTTGATCGTGAACACTAGTAAGTACCCCAACATGTATGTTCCCGTTGGTGCTGTGACCGAACAGGGGTATCTTAATCTCGGTGGACGACAAACCGCTCGTACGCTAATGTACAACTTTCCAACTAGAGCAGGTCAGTGTGGTGGTGTCATCACGTGCACTGGTAAAGTCATTGGGATGCATGTTGGTGGGAACGGTTCACATGGGTTCGCGGCGGCCCTAAAGCGGTCATACTTCACTCAGATTCAAGGTGAGATTCAATGGATGAAACCATCAAAAGAAGTGGGATACCCGATCATAAATGCTCCGTCCAAAACCAAACTTGAACCCAGCGCTTTTCACTATGTGTTTGAAGGGGTGAAGGAACCAGCAGTCCTTACCAAAAATGATCCCAGGCTCAGGACAGACTTTGAAGAAGCAATATTCTCTAAGTATGTAGGCAACAAGATCACTGATGTGGATGAGTACATGAAAGAGGCAGTGGATCATTACGCTGGCCAACTCATGTCTCTAGACATCAACACAGAACAAATGTGCTTGGAGGACGCCATGTACGGCACCGATGGCCTGGAAGCACTTGACTTGACCACTAGTGCTGGATACCCTTATGTAGCAATGGGAAAGAAAAAGAGAGACATCTTGAATAAGCAGACTAGAGACACCAAGGAAATGCGGAGACTCTTAGATACTTATGGAATTAACTTACCGCTTGTAACATATGTTAAAGATGAACTAAGGTCAAAAACTAAGGTGGAGCAGGGAAAATCCAGATTGATTGAAGCCTCCAGTTTGAATGATTCAGTGGCCATGAGAATGGCATTTGGAAATCTCTATGCAGCATTTCACAAAAACCCAGGAGTTGTCACTGGCAGTGCAGTTGGTTGTGATCCAGATCTATTTTGGAGCAAGATCCCAGTGCTAATGGAAGAGAAGCTCTTTGCTTTTGACTACACAGGTTATGATGCATCACTCAGCCCGGCCTGGTTTGAGGCACTCAAAATGGTGCTAGAGAAAATCGGATTTGGGGACAGGGTGGATTATATTGATTACCTCAACCATTCCCACCACCTGTACAAAAACAAAACTTATTGCGTAAAAGGCGGCATGCCATCTGGCTGCTCAGGCACATCAATTTTTAACTCAATGATTAACAACTTAATCATTAGGACACTCCTACTGAAAACCTACAAGGGCATAGATTTAGATCACCTAAAGATGATTGCCTATGGTGATGATGTAATTGCTTCCTACCCCCATGAGGTTGATGCTAGTCTCCTAGCCCAATCAGGAAAAGACTATGGACTAACCATGACTCCAGCAGACAAGTCAGCTACCTTTGAAACAGTCACATGGGAGAATGTAACATTCTTGAAAAGATTCTTTAGAGCGGATGAGAAGTATCCCTTCCTCATACATCCAGTAATGCCAATGAAGGAGATTCATGAATCAATTAGATGGACAAAGGATCCCAGAAACACACAGGATCACGTGCGCTCATTGTGCCTATTGGCCTGGCACAACGGCGAAGAAGAATACAACAAGTTCTTAGCTAAAATCAGGAGTGTGCCAATTGGGAGAGCTTTATTGCTCCCAGAGTACTCTACATTGTACCGCCGTTGGCTCGACTCTTTTTAGTAACCCTACCTCAGTCGAATTGGATTGGGTCATGCTGTTGTAGGGGTAAATTTTTCTTTAATTCGGGG"
}
],
"gappedTraces": 
[
{
"traceFileName": "dataset_152172",
"leadingGaps": 2859,
"trailingGaps": 3957,
"peakA": [148, 149, 152, 157, 166, 179, 192, 205, 215, 227, 240, 256, 273, 289, 304, 317, 329, 340, 352, 365, 378, 389, 398, 404, 406, 405, 403, 399, 395, 390, 383, 374, 362, 348, 333, 318, 304, 290, 275, 259, 241, 221, 201, 181, 162, 146, 133, 121, 110, 98, 87, 76, 65, 56, 49, 44, 40, 37, 34, 32, 30, 28, 27, 26, 25, 25, 24, 23, 22, 21, 20, 19, 18, 18, 17, 16, 15, 14, 14, 14, 14, 14, 14, 12, 11, 9, 7, 6, 5, 4, 4, 3, 3, 2, 1, 0, 0, 1, 2, 4, 5, 7, 8, 8, 9, 10, 10, 12, 13, 14, 15, 16, 16, 16, 15, 15, 14, 13, 13, 12, 12, 11, 12, 13, 15, 20, 28, 39, 53, 71, 91, 114, 138, 164, 192, 222, 252, 281, 307, 328, 342, 348, 347, 340, 327, 310, 287, 261, 232, 201, 170, 140, 113, 89, 69, 53, 39, 28, 20, 13, 8, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 4, 4, 5, 6, 9, 12, 14, 16, 17, 17, 17, 17, 18, 19, 21, 22, 23, 23, 22, 19, 15, 11, 8, 5, 3, 2, 1, 1, 0, 0, 0, 0, 2, 3, 5, 7, 8, 8, 8, 7, 7, 7, 8, 9, 10, 12, 12, 12, 12, 11, 11, 10, 10, 11, 11, 12, 12, 12, 12, 11, 9, 8, 7, 5, 5, 4, 5, 6, 9, 15, 26, 45, 74, 112, 162, 221, 288, 361, 437, 514, 585, 644, 685, 704, 696, 663, 608, 539, 462, 384, 310, 244, 187, 138, 100, 70, 49, 36, 30, 26, 25, 24, 21, 18, 14, 11, 9, 11, 16, 27, 46, 75, 118, 177, 254, 347, 453, 564, 673, 772, 854, 916, 954, 968, 962, 937, 900, 855, 808, 766, 732, 711, 704, 710, 727, 751, 776, 797, 809, 806, 784, 742, 679, 599, 507, 410, 317, 232, 162, 108, 68, 42, 25, 16, 12, 13, 16, 22, 30, 39, 47, 54, 59, 62, 63, 62, 59, 56, 51, 46, 40, 35, 31, 28, 27, 28, 30, 33, 36, 39, 41, 42, 43, 42, 39, 35, 29, 22, 15, 9, 4, 0, 0, 0, 5, 19, 46, 89, 149, 226, 315, 409, 500, 578, 634, 661, 656, 620, 559, 479, 391, 302, 219, 147, 90, 49, 21, 6, 0, 0, 0, 0, 1, 2, 2, 2, 3, 4, 4, 5, 5, 5, 6, 8, 10, 12, 14, 17, 19, 20, 20, 21, 20, 19, 18, 16, 13, 10, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 3, 3, 3, 4, 5, 5, 5, 4, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 3, 18, 47, 95, 163, 248, 343, 438, 523, 586, 619, 617, 580, 514, 427, 331, 236, 152, 86, 41, 14, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 3, 6, 10, 13, 15, 16, 15, 13, 9, 5, 0, 0, 0, 11, 39, 88, 161, 257, 370, 490, 602, 691, 745, 754, 718, 642, 537, 418, 299, 194, 112, 54, 20, 3, 0, 0, 0, 1, 1, 2, 3, 5, 7, 8, 8, 7, 7, 8, 11, 16, 22, 28, 33, 34, 32, 27, 20, 13, 6, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 10, 38, 91, 172, 277, 397, 517, 619, 688, 714, 693, 629, 534, 422, 307, 204, 120, 59, 21, 2, 0, 0, 2, 4, 2, 0, 0, 7, 43, 117, 233, 390, 574, 762, 926, 1043, 1093, 1069, 975, 828, 649, 466, 301, 170, 79, 26, 3, 0, 0, 1, 2, 1, 0, 1, 2, 3, 4, 6, 7, 11, 16, 23, 30, 38, 43, 46, 46, 43, 38, 32, 26, 21, 17, 16, 16, 18, 21, 23, 22, 19, 14, 8, 3, 1, 1, 1, 0, 0, 0, 5, 31, 86, 175, 295, 437, 583, 712, 804, 842, 818, 733, 604, 451, 300, 173, 81, 24, 0, 0, 4, 39, 103, 200, 328, 473, 613, 723, 783, 782, 723, 618, 488, 353, 232, 136, 69, 30, 11, 7, 9, 14, 20, 25, 29, 32, 33, 32, 31, 31, 31, 32, 34, 37, 39, 40, 40, 37, 33, 27, 22, 18, 14, 11, 7, 4, 0, 0, 0, 1, 3, 4, 1, 0, 0, 19, 69, 160, 290, 447, 609, 747, 836, 860, 818, 726, 610, 505, 439, 431, 480, 569, 669, 748, 779, 750, 663, 535, 389, 250, 138, 60, 16, 0, 0, 6, 14, 21, 26, 27, 26, 22, 16, 10, 6, 6, 9, 17, 26, 33, 35, 32, 25, 14, 5, 0, 0, 1, 3, 1, 0, 0, 15, 61, 144, 265, 414, 568, 704, 795, 826, 788, 690, 550, 393, 245, 127, 49, 8, 0, 0, 3, 5, 2, 0, 0, 2, 9, 20, 30, 38, 43, 44, 41, 35, 27, 18, 10, 4, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 2, 6, 11, 16, 21, 24, 26, 25, 22, 18, 13, 8, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 10, 15, 20, 25, 27, 27, 23, 16, 7, 0, 0, 1, 5, 7, 3, 0, 0, 22, 90, 214, 390, 601, 811, 983, 1081, 1085, 993, 826, 617, 406, 227, 99, 26, 0, 0, 3, 8, 8, 4, 0, 0, 0, 0, 4, 8, 9, 8, 7, 9, 23, 60, 129, 233, 368, 518, 657, 760, 804, 777, 684, 544, 385, 235, 117, 41, 4, 0, 0, 4, 5, 3, 0, 0, 0, 6, 14, 21, 26, 29, 30, 30, 31, 31, 32, 33, 35, 35, 35, 34, 31, 27, 23, 20, 17, 14, 12, 11, 10, 8, 6, 4, 1, 0, 0, 0, 2, 6, 6, 2, 0, 0, 19, 70, 158, 278, 412, 536, 621, 648, 612, 525, 413, 311, 248, 245, 301, 399, 510, 596, 630, 599, 510, 390, 280, 221, 241, 350, 530, 741, 934, 1060, 1086, 1006, 838, 621, 401, 216, 88, 19, 0, 0, 6, 12, 11, 7, 4, 3, 5, 8, 13, 18, 24, 32, 40, 47, 50, 48, 42, 33, 23, 14, 7, 2, 0, 0, 0, 1, 4, 7, 11, 13, 14, 11, 6, 0, 0, 0, 2, 6, 7, 2, 0, 0, 22, 85, 193, 339, 503, 651, 753, 785, 739, 627, 474, 314, 174, 75, 18, 0, 0, 3, 6, 4, 0, 0, 0, 8, 17, 26, 31, 32, 30, 25, 21, 19, 18, 19, 21, 23, 25, 27, 29, 29, 28, 23, 15, 6, 0, 0, 0, 7, 12, 7, 0, 0, 16, 95, 245, 464, 724, 979, 1175, 1266, 1231, 1080, 849, 589, 350, 169, 56, 4, 0, 0, 2, 6, 7, 5, 0, 0, 0, 11, 71, 191, 376, 610, 857, 1069, 1197, 1211, 1107, 909, 662, 416, 215, 80, 11, 0, 0, 8, 11, 8, 2, 0, 1, 8, 16, 23, 29, 30, 27, 19, 6, 0, 1, 40, 128, 268, 450, 644, 811, 910, 914, 818, 646, 441, 262, 158, 163, 280, 483, 722, 938, 1079, 1110, 1028, 855, 632, 406, 215, 83, 13, 0, 0, 13, 19, 12, 0, 0, 10, 74, 189, 349, 531, 700, 817, 853, 799, 667, 493, 324, 205, 167, 220, 345, 504, 651, 745, 760, 693, 565, 406, 252, 128, 48, 8, 0, 0, 5, 7, 5, 3, 4, 11, 20, 31, 40, 46, 48, 46, 42, 35, 28, 20, 13, 8, 6, 6, 9, 13, 17, 19, 19, 18, 15, 11, 8, 6, 5, 5, 7, 9, 12, 15, 17, 18, 18, 17, 15, 12, 9, 5, 3, 2, 2, 3, 4, 3, 1, 0, 0, 0, 2, 8, 11, 6, 0, 0, 14, 81, 206, 384, 589, 782, 917, 962, 904, 759, 563, 359, 188, 71, 11, 0, 0, 6, 8, 5, 1, 3, 13, 28, 43, 54, 57, 53, 45, 35, 25, 17, 11, 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, 1, 3, 5, 7, 9, 10, 10, 10, 9, 8, 5, 2, 0, 0, 0, 2, 8, 11, 7, 0, 0, 14, 78, 199, 371, 570, 754, 881, 917, 851, 703, 511, 327, 197, 150, 189, 290, 414, 515, 559, 531, 442, 323, 218, 171, 208, 331, 515, 717, 883, 971, 958, 848, 669, 463, 272, 127, 38, 0, 0, 3, 10, 12, 11, 10, 14, 22, 29, 34, 33, 28, 23, 19, 18, 15, 8, 0, 0, 13, 73, 185, 343, 525, 693, 804, 827, 754, 605, 419, 249, 143, 127, 201, 341, 503, 639, 714, 708, 628, 497, 348, 210, 104, 38, 7, 0, 3, 8, 10, 9, 9, 10, 14, 19, 24, 27, 28, 25, 22, 18, 15, 14, 14, 16, 18, 21, 24, 26, 27, 29, 29, 29, 27, 25, 21, 17, 13, 11, 9, 8, 7, 5, 1, 0, 0, 0, 4, 9, 8, 2, 0, 0, 30, 106, 229, 385, 547, 678, 746, 733, 643, 499, 336, 189, 81, 20, 0, 0, 2, 6, 6, 6, 8, 15, 24, 29, 28, 23, 17, 13, 12, 12, 7, 0, 0, 6, 57, 159, 309, 486, 653, 771, 805, 744, 602, 416, 234, 104, 60, 113, 248, 429, 606, 735, 779, 727, 592, 408, 224, 93, 55, 128, 304, 547, 802, 1008, 1117, 1103, 973, 761, 519, 298, 132, 35, 0, 0, 5, 12, 12, 8, 7, 13, 25, 39, 49, 51, 44, 31, 19, 11, 10, 13, 13, 7, 0, 0, 14, 82, 206, 379, 572, 743, 849, 862, 778, 620, 430, 249, 111, 29, 0, 0, 3, 12, 14, 14, 15, 21, 30, 39, 45, 46, 43, 38, 34, 30, 27, 23, 19, 15, 11, 7, 5, 4, 3, 1, 0, 0, 0, 2, 8, 11, 7, 0, 0, 6, 57, 155, 296, 457, 605, 702, 722, 659, 532, 372, 218, 98, 26, 0, 0, 2, 8, 9, 5, 4, 9, 18, 29, 39, 44, 44, 40, 35, 29, 23, 18, 13, 8, 5, 4, 4, 5, 4, 3, 0, 0, 0, 3, 8, 11, 7, 0, 0, 8, 60, 160, 302, 464, 610, 704, 721, 655, 525, 364, 211, 93, 23, 0, 0, 3, 8, 6, 3, 2, 8, 18, 26, 28, 22, 11, 2, 0, 4, 10, 10, 2, 0, 0, 39, 135, 288, 477, 665, 806, 862, 819, 690, 508, 318, 160, 55, 4, 0, 0, 8, 10, 6, 3, 4, 12, 24, 33, 35, 29, 18, 6, 0, 0, 4, 8, 7, 0, 0, 3, 44, 129, 254, 401, 539, 633, 659, 610, 499, 356, 214, 101, 30, 0, 0, 1, 8, 9, 7, 5, 6, 13, 21, 30, 35, 38, 36, 33, 29, 25, 21, 17, 14, 11, 8, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 5, 8, 11, 14, 16, 17, 17, 16, 14, 11, 8, 5, 3, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 6, 9, 10, 9, 7, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 6, 5, 2, 0, 0, 0, 4, 10, 10, 4, 0, 0, 23, 96, 217, 371, 528, 649, 703, 673, 569, 420, 263, 131, 43, 1, 0, 0, 8, 11, 10, 7, 8, 12, 17, 20, 20, 17, 11, 6, 3, 3, 4, 7, 10, 13, 16, 19, 22, 24, 25, 25, 25, 23, 21, 19, 17, 14, 13, 11, 10, 8, 7, 6, 4, 3, 1, 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, 3, 9, 17, 24, 26, 22, 14, 6, 3, 6, 14, 18, 11, 0, 0, 10, 90, 245, 464, 711, 931, 1067, 1082, 972, 769, 527, 301, 133, 34, 0, 0, 0, 3, 3, 4, 6, 7, 2, 0, 0, 34, 137, 317, 560, 824, 1044, 1160, 1136, 973, 718, 443, 230, 139, 194, 371, 612, 839, 979, 991, 871, 660, 425, 241, 166, 225, 400, 639, 870, 1026, 1065, 980, 796, 565, 339, 162, 51, 2, 0, 2, 11, 12, 10, 10, 16, 30, 46, 59, 65, 63, 54, 41, 28, 18, 12, 9, 9, 11, 13, 15, 16, 16, 15, 13, 11, 9, 7, 6, 5, 6, 9, 14, 19, 22, 21, 15, 6, 0, 0, 5, 14, 17, 10, 0, 0, 19, 112, 278, 503, 743, 941, 1044, 1022, 882, 663, 423, 215, 74, 4, 0, 0, 14, 20, 18, 16, 20, 32, 47, 59, 61, 51, 33, 16, 6, 8, 17, 22, 15, 0, 0, 10, 105, 288, 548, 842, 1101, 1257, 1268, 1129, 881, 590, 323, 129, 23, 0, 0, 10, 20, 20, 18, 21, 32, 45, 53, 52, 41, 26, 15, 12, 15, 17, 11, 0, 0, 10, 84, 222, 417, 634, 824, 937, 940, 834, 648, 431, 234, 91, 13, 0, 0, 8, 18, 18, 10, 0, 0, 0, 21, 78, 166, 278, 393, 484, 528, 511, 438, 330, 212, 110, 39, 1, 0, 0, 4, 12, 15, 11, 1, 0, 0, 26, 103, 228, 387, 547, 668, 718, 680, 566, 408, 246, 115, 32, 0, 0, 2, 11, 14, 13, 12, 14, 20, 27, 32, 34, 32, 29, 26, 23, 22, 20, 18, 15, 12, 11, 11, 11, 13, 14, 15, 15, 15, 15, 15, 14, 12, 11, 9, 9, 11, 13, 14, 12, 8, 3, 0, 2, 8, 14, 13, 4, 0, 0, 33, 118, 255, 423, 586, 700, 731, 667, 524, 343, 179, 80, 75, 165, 322, 499, 643, 709, 676, 551, 369, 186, 63, 47, 158, 379, 661, 932, 1122, 1181, 1097, 896, 635, 377, 174, 49, 0, 0, 5, 15, 15, 9, 6, 10, 22, 36, 44, 44, 36, 23, 11, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 5, 8, 12, 15, 19, 20, 21, 19, 16, 12, 7, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 7, 10, 12, 13, 12, 9, 6, 3, 1, 0, 0, 1, 3, 7, 10, 13, 15, 15, 13, 8, 3, 0, 0, 0, 5, 11, 13, 6, 0, 0, 21, 90, 205, 354, 505, 618, 659, 612, 490, 333, 194, 121, 143, 259, 434, 616, 745, 779, 704, 542, 341, 165, 71, 91, 225, 438, 671, 859, 952, 927, 796, 597, 383, 199, 73, 9, 0, 0, 11, 17, 17, 15, 17, 23, 30, 35, 35, 30, 22, 13, 6, 2, 0, 0, 0, 1, 2, 3, 3, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 1, 4, 9, 13, 17, 20, 21, 19, 15, 11, 8, 5, 3, 1, 1, 1, 1, 2, 3, 4, 6, 8, 10, 11, 11, 10, 7, 2, 0, 0, 0, 3, 10, 13, 8, 0, 0, 12, 69, 173, 316, 469, 594, 653, 623, 511, 349, 191, 92, 93, 203, 396, 620, 810, 912, 900, 779, 588, 377, 195, 70, 7, 0, 0, 12, 18, 19, 17, 18, 23, 28, 30, 27, 20, 11, 3, 0, 0, 2, 4, 7, 7, 6, 5, 4, 3, 4, 5, 8, 10, 12, 14, 13, 11, 8, 5, 1, 0, 0, 1, 4, 9, 14, 17, 18, 17, 14, 9, 5, 1, 0, 0, 1, 4, 7, 10, 12, 14, 14, 14, 13, 10, 5, 0, 0, 0, 7, 15, 18, 11, 0, 0, 11, 83, 217, 401, 601, 769, 859, 847, 736, 557, 357, 181, 58, 0, 0, 1, 21, 28, 19, 0, 0, 0, 62, 180, 343, 523, 679, 771, 772, 683, 529, 350, 189, 73, 10, 0, 0, 7, 13, 11, 7, 5, 7, 11, 15, 16, 13, 9, 6, 6, 8, 11, 15, 16, 15, 13, 10, 7, 5, 1, 0, 0, 0, 3, 12, 19, 19, 9, 0, 0, 21, 105, 247, 431, 619, 763, 824, 783, 652, 470, 283, 131, 36, 0, 0, 3, 13, 16, 12, 7, 7, 12, 19, 25, 29, 29, 28, 25, 22, 19, 16, 11, 8, 5, 5, 8, 14, 21, 25, 24, 17, 8, 1, 1, 8, 18, 22, 13, 0, 0, 20, 119, 297, 538, 795, 1003, 1103, 1060, 882, 618, 342, 133, 50, 111, 294, 541, 776, 933, 971, 885, 706, 484, 275, 116, 22, 0, 0, 12, 28, 29, 15, 0, 0, 5, 80, 218, 408, 618, 800, 906, 908, 805, 626, 417, 228, 90, 14, 0, 0, 10, 20, 22, 20, 19, 20, 23, 24, 23, 17, 11, 5, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 9, 13, 14, 13, 8, 2, 0, 0, 1, 8, 11, 8, 0, 0, 4, 51, 140, 266, 403, 520, 583, 576, 501, 380, 245, 127, 45, 4, 0, 0, 8, 13, 13, 11, 10, 11, 13, 14, 13, 10, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 4, 9, 14, 19, 22, 24, 23, 20, 16, 11, 7, 5, 7, 12, 19, 26, 29, 27, 18, 8, 3, 5, 15, 25, 24, 8, 0, 0, 50, 196, 430, 721, 1003, 1203, 1264, 1169, 947, 659, 379, 163, 36, 0, 0, 12, 29, 36, 35, 33, 33, 35, 35, 31, 23, 13, 5, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 4, 6, 9, 11, 13, 13, 12, 9, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 6, 10, 14, 15, 15, 12, 8, 3, 1, 0, 1, 4, 8, 11, 13, 14, 14, 12, 9, 6, 4, 3, 3, 4, 4, 3, 0, 0, 0, 0, 7, 14, 14, 5, 0, 0, 27, 112, 251, 423, 591, 711, 747, 689, 555, 383, 216, 90, 17, 0, 0, 6, 14, 13, 8, 3, 2, 4, 7, 8, 7, 4, 1, 0, 0, 0, 0, 0, 0, 2, 4, 8, 12, 15, 17, 17, 16, 13, 11, 9, 8, 8, 9, 9, 6, 2, 0, 0, 0, 6, 15, 17, 10, 0, 0, 14, 92, 231, 416, 610, 762, 830, 794, 665, 480, 289, 133, 35, 0, 0, 5, 19, 25, 23, 20, 19, 20, 23, 25, 25, 23, 21, 18, 17, 17, 18, 19, 19, 18, 17, 14, 11, 8, 6, 5, 6, 8, 10, 10, 9, 7, 4, 1, 0, 0, 0, 0, 2, 3, 5, 6, 7, 8, 8, 9, 10, 12, 14, 16, 17, 16, 15, 13, 11, 10, 10, 11, 13, 15, 17, 17, 16, 14, 11, 8, 5, 3, 3, 4, 4, 4, 1, 0, 0, 0, 4, 12, 16, 11, 0, 0, 3, 63, 177, 339, 518, 671, 756, 748, 652, 494, 318, 163, 56, 2, 0, 0, 13, 20, 21, 17, 13, 10, 9, 7, 5, 2, 1, 2, 4, 8, 11, 13, 12, 10, 6, 3, 0, 0, 0, 1, 3, 6, 9, 11, 11, 10, 8, 5, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 8, 15, 21, 22, 20, 16, 14, 16, 21, 23, 16, 1, 0, 3, 68, 202, 399, 628, 833, 955, 953, 821, 592, 337, 137, 62, 143, 366, 671, 974, 1187, 1254, 1162, 942, 659, 384, 170, 43, 0, 0, 9, 23, 26, 22, 19, 21, 28, 35, 39, 37, 31, 24, 19, 17, 16, 17, 17, 15, 13, 9, 6, 3, 2, 1, 2, 4, 6, 8, 10, 11, 11, 10, 8, 6, 4, 2, 1, 2, 3, 4, 5, 6, 7, 7, 7, 5, 2, 0, 0, 0, 8, 18, 23, 17, 0, 0, 0, 64, 197, 391, 612, 808, 926, 933, 826, 637, 419, 222, 82, 9, 0, 0, 11, 18, 17, 11, 7, 8, 10, 13, 12, 9, 5, 4, 4, 7, 10, 12, 12, 11, 9, 6, 4, 0, 0, 0, 0, 3, 9, 13, 8, 0, 0, 2, 53, 150, 289, 442, 574, 648, 644, 563, 430, 279, 147, 53, 3, 0, 0, 7, 17, 19, 12, 0, 0, 0, 37, 127, 266, 435, 600, 717, 754, 701, 571, 402, 234, 104, 25, 0, 0, 5, 14, 15, 11, 8, 7, 10, 14, 15, 14, 12, 9, 7, 8, 10, 13, 15, 15, 14, 11, 8, 4, 1, 0, 0, 1, 4, 8, 11, 13, 12, 11, 7, 4, 1, 0, 0, 0, 3, 6, 10, 14, 15, 15, 13, 10, 6, 2, 0, 0, 0, 1, 9, 16, 16, 7, 0, 0, 21, 100, 234, 406, 581, 715, 769, 729, 606, 435, 260, 120, 32, 0, 0, 4, 13, 13, 6, 0, 0, 2, 11, 21, 26, 24, 16, 6, 2, 7, 19, 30, 28, 10, 0, 0, 53, 216, 479, 807, 1130, 1363, 1441, 1341, 1094, 768, 447, 197, 46, 0, 0, 10, 28, 34, 31, 28, 30, 36, 40, 41, 35, 27, 20, 16, 15, 17, 18, 18, 16, 13, 11, 9, 10, 12, 15, 18, 20, 22, 22, 22, 22, 20, 18, 16, 12, 9, 5, 2, 1, 2, 4, 6, 7, 8, 7, 5, 2, 0, 0, 0, 0, 3, 5, 7, 9, 8, 7, 5, 2, 0, 0, 0, 1, 4, 8, 12, 14, 15, 13, 10, 5, 2, 0, 0, 1, 4, 8, 10, 12, 11, 9, 6, 3, 0, 0, 0, 1, 4, 7, 10, 12, 11, 9, 6, 3, 1, 0, 0, 0, 0, 0, 0, 2, 5, 8, 9, 6, 3, 0, 1, 6, 12, 15, 10, 0, 0, 9, 68, 178, 329, 492, 628, 695, 670, 558, 391, 221, 103, 76, 156, 323, 531, 722, 841, 853, 754, 569, 349, 154, 38, 32, 138, 327, 549, 743, 856, 860, 752, 562, 341, 148, 34, 29, 133, 317, 529, 711, 818, 822, 729, 568, 382, 213, 88, 17, 0, 0, 6, 19, 24, 20, 7, 0, 0, 14, 90, 224, 405, 600, 764, 853, 842, 733, 558, 361, 188, 67, 5, 0, 0, 12, 18, 18, 15, 15, 19, 26, 32, 31, 25, 16, 7, 5, 8, 13, 14, 7, 0, 0, 13, 76, 189, 338, 495, 620, 680, 658, 559, 414, 259, 128, 41, 0, 0, 0, 10, 14, 11, 6, 3, 2, 4, 7, 9, 10, 10, 10, 12, 14, 16, 17, 17, 15, 12, 10, 11, 14, 21, 27, 30, 28, 22, 16, 13, 17, 23, 25, 16, 0, 0, 9, 93, 256, 486, 742, 965, 1092, 1085, 940, 697, 422, 186, 51, 42, 150, 332, 529, 682, 751, 721, 608, 447, 279, 140, 47, 3, 0, 2, 13, 19, 19, 17, 16, 19, 25, 33, 39, 41, 39, 32, 23, 16, 14, 19, 25, 26, 15, 0, 0, 15, 113, 294, 543, 813, 1039, 1159, 1138, 983, 737, 467, 234, 77, 0, 0, 0, 18, 26, 24, 19, 19, 22, 26, 27, 21, 12, 5, 4, 7, 11, 9, 0, 0, 0, 44, 136, 273, 434, 582, 681, 701, 639, 512, 354, 203, 87, 19, 0, 0, 7, 16, 18, 16, 12, 10, 10, 10, 10, 8, 6, 4, 2, 3, 5, 7, 10, 11, 11, 9, 7, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 8, 11, 14, 15, 15, 14, 12, 9, 7, 5, 5, 6, 9, 12, 15, 17, 18, 17, 16, 14, 13, 12, 12, 13, 13, 12, 9, 4, 0, 0, 2, 8, 11, 9, 0, 0, 0, 38, 119, 243, 390, 530, 627, 656, 609, 499, 356, 214, 100, 28, 0, 0, 7, 20, 27, 28, 26, 23, 21, 20, 19, 16, 12, 7, 3, 2, 5, 9, 11, 7, 0, 0, 6, 50, 136, 258, 396, 520, 598, 608, 546, 431, 293, 164, 67, 13, 0, 0, 5, 11, 10, 6, 2, 3, 6, 10, 13, 13, 11, 8, 9, 13, 18, 21, 15, 3, 0, 0, 41, 135, 278, 448, 609, 719, 748, 689, 558, 391, 229, 102, 25, 0, 0, 6, 17, 21, 18, 14, 10, 9, 10, 12, 14, 15, 17, 18, 19, 19, 18, 16, 14, 11, 9, 8, 7, 6, 6, 6, 7, 9, 11, 13, 14, 14, 14, 15, 18, 23, 27, 29, 26, 20, 15, 15, 20, 27, 27, 14, 0, 0, 20, 132, 333, 604, 895, 1135, 1258, 1228, 1056, 789, 498, 249, 81, 0, 0, 1, 23, 35, 35, 29, 24, 22, 22, 23, 22, 19, 18, 18, 21, 25, 28, 29, 27, 23, 18, 13, 8, 4, 2, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 3, 2, 1, 0, 0, 0, 1, 2, 4, 5, 5, 5, 4, 2, 1, 0, 0, 0, 0, 1, 1, 3, 4, 6, 8, 11, 14, 17, 19, 19, 18, 14, 10, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 2, 1, 2, 6, 14, 20, 20, 10, 0, 0, 15, 87, 213, 383, 563, 711, 787, 770, 666, 502, 323, 166, 58, 3, 0, 0, 14, 23, 24, 21, 18, 17, 17, 19, 20, 20, 20, 19, 19, 17, 15, 13, 12, 11, 12, 13, 16, 18, 20, 20, 20, 18, 16, 14, 12, 10, 9, 9, 8, 9, 9, 10, 11, 11, 12, 12, 12, 12, 13, 14, 17, 20, 23, 24, 24, 22, 19, 16, 15, 15, 15, 15, 12, 7, 1, 0, 0, 5, 12, 13, 6, 0, 0, 20, 99, 234, 410, 595, 743, 814, 790, 677, 508, 325, 167, 58, 4, 0, 1, 16, 25, 27, 25, 24, 25, 27, 30, 29, 24, 16, 7, 2, 2, 6, 10, 9, 1, 0, 0, 35, 116, 242, 396, 546, 655, 695, 653, 543, 393, 240, 115, 34, 0, 0, 4, 16, 24, 25, 23, 20, 17, 15, 13, 10, 6, 2, 0, 0, 0, 2, 4, 6, 8, 9, 10, 11, 12, 14, 17, 19, 21, 22, 21, 19, 16, 12, 8, 5, 4, 4, 7, 10, 14, 18, 19, 18, 15, 12, 8, 4, 2, 1, 2, 5, 12, 19, 22, 18, 7, 0, 0, 30, 110, 238, 397, 553, 664, 696, 635, 495, 319, 165, 85, 113, 249, 459, 685, 861, 937, 891, 735, 516, 297, 140, 85, 142, 288, 475, 646, 750, 762, 682, 536, 364, 206, 88, 20, 0, 0, 12, 24, 30, 30, 28, 26, 25, 26, 28, 28, 26, 23, 21, 20, 23, 27, 27, 20, 3, 0, 0, 52, 173, 360, 588, 810, 972, 1031, 971, 808, 587, 361, 175, 55, 0, 0, 1, 15, 21, 19, 14, 12, 14, 17, 21, 22, 22, 20, 19, 19, 20, 20, 19, 17, 14, 10, 7, 6, 6, 7, 9, 12, 14, 16, 16, 15, 12, 9, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 7, 10, 13, 15, 14, 11, 7, 4, 1, 1, 2, 4, 7, 11, 14, 17, 19, 20, 20, 19, 19, 18, 17, 16, 12, 7, 2, 0, 1, 7, 13, 16, 9, 0, 0, 9, 72, 190, 352, 530, 683, 771, 769, 678, 525, 348, 189, 73, 10, 0, 0, 14, 27, 32, 31, 26, 22, 17, 14, 10, 8, 7, 8, 10, 12, 13, 12, 10, 7, 3, 0, 0, 0, 2, 5, 8, 10, 11, 11, 9, 7, 4, 1, 0, 0, 0, 1, 3, 6, 8, 9, 9, 7, 6, 5, 5, 7, 9, 12, 15, 16, 16, 14, 12, 10, 9, 9, 11, 13, 15, 16, 17, 16, 15, 13, 11, 10, 8, 7, 6, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 9, 11, 12, 12, 10, 8, 6, 7, 9, 13, 16, 18, 19, 18, 16, 13, 10, 8, 6, 4, 3, 4, 5, 8, 12, 16, 19, 21, 21, 19, 17, 14, 10, 5, 2, 2, 6, 12, 16, 14, 5, 0, 0, 27, 106, 234, 397, 564, 694, 753, 727, 622, 467, 301, 158, 60, 8, 0, 0, 6, 16, 22, 25, 20, 8, 0, 0, 22, 115, 280, 505, 750, 960, 1082, 1081, 960, 750, 506, 283, 118, 24, 0, 0, 12, 25, 29, 27, 23, 21, 21, 21, 18, 13, 7, 2, 2, 8, 15, 17, 11, 0, 0, 7, 69, 187, 354, 541, 706, 807, 818, 735, 582, 398, 226, 96, 20, 0, 0, 13, 26, 31, 29, 23, 16, 12, 10, 10, 10, 11, 13, 14, 16, 16, 16, 15, 13, 12, 10, 7, 3, 0, 0, 0, 2, 8, 11, 8, 0, 0, 4, 45, 129, 251, 395, 528, 616, 629, 563, 432, 275, 140, 72, 99, 220, 407, 611, 776, 860, 842, 729, 555, 362, 194, 75, 11, 0, 0, 13, 24, 26, 24, 20, 18, 17, 18, 21, 22, 23, 22, 20, 18, 18, 21, 23, 21, 10, 0, 0, 15, 91, 228, 418, 629, 814, 927, 936, 840, 664, 455, 259, 111, 26, 0, 0, 7, 15, 15, 10, 5, 4, 6, 8, 7, 4, 0, 0, 0, 6, 11, 11, 3, 0, 0, 30, 111, 241, 403, 565, 687, 738, 703, 593, 438, 276, 140, 49, 3, 0, 0, 6, 12, 13, 8, 0, 0, 0, 17, 67, 150, 259, 375, 470, 518, 503, 426, 306, 178, 79, 43, 84, 199, 361, 530, 664, 730, 711, 616, 471, 312, 171, 70, 15, 0, 0, 5, 9, 8, 3, 0, 0, 2, 5, 6, 5, 3, 1, 0, 0, 0, 1, 2, 3, 5, 6, 6, 6, 5, 3, 2, 0, 0, 0, 0, 0, 0, 0, 1, 5, 10, 15, 18, 17, 14, 11, 12, 14, 15, 11, 0, 0, 0, 42, 136, 280, 455, 624, 748, 792, 744, 618, 448, 274, 132, 41, 0, 0, 1, 10, 13, 10, 7, 7, 10, 15, 17, 14, 8, 3, 2, 5, 10, 11, 5, 0, 0, 24, 95, 213, 367, 529, 659, 721, 696, 587, 423, 250, 120, 74, 130, 279, 483, 689, 842, 904, 859, 724, 534, 337, 171, 60, 5, 0, 1, 14, 21, 22, 18, 16, 16, 18, 21, 23, 24, 23, 22, 21, 20, 19, 17, 14, 11, 9, 7, 6, 6, 7, 9, 10, 10, 10, 8, 7, 6, 6, 6, 5, 3, 0, 0, 0, 0, 6, 11, 9, 0, 0, 0, 40, 129, 264, 427, 584, 695, 732, 685, 567, 409, 250, 121, 38, 0, 0, 0, 8, 11, 8, 4, 2, 3, 5, 7, 7, 5, 3, 1, 0, 0, 2, 4, 6, 7, 7, 7, 7, 7, 8, 10, 12, 15, 17, 18, 16, 13, 9, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 7, 9, 7, 0, 0, 6, 46, 123, 233, 358, 468, 532, 530, 460, 342, 214, 118, 92, 152, 288, 467, 642, 763, 797, 733, 589, 403, 226, 106, 72, 133, 270, 446, 612, 724, 751, 685, 544, 365, 199, 92, 76, 159, 320, 517, 699, 817, 842, 772, 627, 445, 269, 129, 40, 0, 0, 4, 15, 22, 24, 23, 23, 23, 23, 20, 13, 6, 1, 0, 3, 7, 8, 3, 0, 0, 20, 77, 174, 299, 431, 539, 598, 592, 524, 411, 282, 164, 75, 23, 0, 0, 0, 5, 10, 15, 21, 22, 13, 0, 0, 11, 96, 259, 494, 765, 1015, 1181, 1222, 1127, 921, 659, 399, 192, 59, 0, 0, 4, 21, 31, 32, 28, 24, 21, 18, 15, 11, 7, 4, 3, 5, 8, 11, 14, 15, 16, 15, 15, 16, 17, 18, 19, 20, 21, 21, 21, 22, 22, 23, 23, 20, 17, 14, 12, 13, 15, 14, 8, 0, 0, 6, 54, 146, 280, 437, 588, 698, 740, 703, 598, 449, 292, 156, 60, 9, 0, 2, 16, 27, 30, 27, 21, 15, 10, 9, 8, 8, 7, 6, 4, 3, 3, 4, 7, 11, 15, 18, 19, 18, 17, 17, 17, 19, 19, 14, 6, 0, 0, 23, 83, 179, 304, 433, 537, 587, 566, 477, 343, 202, 99, 68, 127, 269, 461, 657, 806, 870, 831, 701, 515, 320, 165, 86, 99, 191, 332, 479, 589, 630, 590, 480, 332, 189, 96, 87, 171, 336, 543, 741, 881, 928, 872, 730, 538, 341, 176, 65, 8, 0, 0, 10, 17, 17, 14, 12, 10, 10, 9, 7, 5, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 5, 8, 7, 0, 0, 1, 36, 109, 221, 357, 489, 585, 620, 581, 478, 339, 201, 102, 68, 106, 203, 330, 450, 530, 545, 492, 384, 251, 131, 59, 57, 133, 270, 436, 591, 697, 729, 680, 565, 414, 261, 134, 48, 4, 0, 0, 7, 14, 13, 5, 0, 0, 6, 52, 137, 257, 393, 518, 603, 626, 582, 483, 353, 222, 114, 41, 4, 0, 0, 6, 11, 11, 4, 0, 0, 9, 55, 137, 252, 383, 505, 589, 616, 577, 483, 357, 227, 117, 42, 4, 0, 1, 12, 21, 23, 22, 19, 17, 17, 17, 17, 16, 12, 8, 6, 6, 7, 8, 6, 0, 0, 1, 31, 94, 190, 308, 426, 518, 561, 544, 472, 363, 244, 137, 60, 16, 0, 0, 3, 9, 14, 20, 24, 20, 7, 0, 0, 37, 153, 354, 624, 920, 1178, 1338, 1359, 1237, 1003, 714, 434, 210, 67, 1, 0, 4, 22, 32, 33, 28, 23, 19, 17, 15, 12, 9, 6, 5, 4, 4, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 6, 8, 10, 12, 13, 13, 12, 10, 8, 7, 7, 9, 11, 13, 15, 16, 16, 15, 14, 13, 12, 13, 14, 16, 18, 19, 19, 18, 16, 14, 12, 11, 10, 10, 10, 10, 9, 9, 9, 10, 11, 11, 12, 12, 12, 13, 14, 16, 18, 20, 22, 23, 22, 21, 19, 17, 16, 16, 16, 15, 14, 12, 10, 7, 4, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 5, 8, 11, 14, 16, 17, 17, 16, 15, 13, 11, 9, 7, 5, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 9, 12, 15, 16, 16, 15, 13, 10, 7, 5, 3, 1, 0, 1, 2, 5, 9, 13, 16, 18, 18, 16, 13, 9, 5, 3, 1, 0, 0, 0, 0, 0, 1, 3, 4, 3, 1, 0, 0, 0, 4, 7, 6, 0, 0, 0, 27, 90, 190, 317, 448, 555, 613, 607, 540, 427, 297, 175, 82, 25, 0, 0, 1, 5, 7, 5, 2, 2, 3, 5, 6, 6, 4, 2, 2, 2, 3, 5, 5, 6, 7, 9, 12, 16, 19, 20, 20, 19, 18, 17, 15, 9, 0, 0, 2, 40, 118, 237, 383, 531, 650, 711, 701, 623, 497, 350, 212, 104, 35, 2, 0, 3, 12, 18, 19, 18, 16, 15, 16, 18, 21, 23, 24, 23, 20, 17, 13, 9, 7, 8, 10, 13, 17, 21, 24, 25, 24, 21, 17, 14, 12, 11, 11, 12, 10, 8, 5, 3, 4, 6, 7, 5, 0, 0, 2, 34, 100, 200, 323, 447, 546, 597, 587, 520, 413, 289, 173, 83, 26, 0, 0, 4, 12, 16, 15, 12, 8, 6, 5, 6, 7, 8, 9, 9, 9, 9, 8, 8, 7, 7, 8, 10, 13, 15, 17, 17, 16, 14, 12, 10, 8, 7, 7, 8, 9, 11, 13, 15, 16, 18, 18, 17, 16, 14, 13, 10, 8, 5, 3, 2, 3, 6, 7, 6, 1, 0, 0, 19, 68, 147, 250, 360, 454, 511, 518, 473, 388, 282, 177, 90, 31, 1, 0, 1, 11, 16, 13, 3, 0, 0, 31, 102, 215, 356, 502, 624, 694, 695, 629, 510, 367, 229, 117, 44, 6, 0, 0, 5, 9, 10, 9, 8, 10, 13, 15, 17, 17, 17, 18, 20, 20, 17, 10, 0, 0, 6, 46, 123, 236, 372, 506, 611, 663, 650, 576, 457, 321, 193, 94, 31, 2, 0, 0, 4, 5, 3, 0, 0, 0, 3, 7, 11, 15, 17, 19, 20, 20, 19, 17, 14, 12, 10, 9, 10, 11, 12, 13, 14, 13, 12, 11, 9, 8, 7, 7, 6, 5, 4, 3, 2, 0, 0, 0, 0, 0, 1, 2, 4, 5, 5, 5, 4, 3, 2, 1, 1, 2, 2, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 7, 11, 14, 17, 18, 17, 16, 14, 12, 11, 12, 13, 15, 17, 18, 18, 16, 15, 13, 12, 12, 14, 17, 21, 23, 24, 22, 20, 18, 18, 17, 13, 5, 0, 0, 21, 85, 196, 346, 513, 666, 770, 802, 755, 641, 488, 327, 186, 83, 23, 0, 0, 7, 16, 22, 22, 20, 16, 12, 9, 7, 6, 7, 8, 9, 10, 10, 9, 7, 4, 1, 0, 0, 0, 3, 6, 8, 10, 11, 11, 12, 14, 17, 20, 21, 21, 19, 17, 17, 17, 14, 5, 0, 0, 22, 96, 227, 410, 621, 822, 969, 1031, 993, 866, 678, 469, 278, 132, 41, 1, 0, 10, 26, 36, 36, 31, 24, 17, 14, 14, 17, 21, 24, 26, 22, 12, 0, 0, 6, 49, 131, 252, 397, 541, 657, 717, 711, 638, 517, 373, 234, 122, 47, 8, 0, 0, 4, 6, 2, 0, 1, 20, 62, 128, 213, 305, 387, 440, 452, 418, 347, 259, 179, 134, 141, 206, 314, 442, 557, 631, 646, 599, 502, 377, 248, 139, 60, 16, 0, 0, 9, 19, 24, 25, 24, 22, 20, 20, 21, 23, 24, 25, 24, 23, 22, 21, 19, 14, 5, 0, 0, 21, 82, 186, 329, 491, 643, 752, 796, 763, 664, 520, 361, 217, 106, 37, 4, 0, 3, 12, 17, 18, 16, 15, 14, 15, 16, 18, 18, 17, 15, 13, 10, 8, 7, 7, 9, 11, 14, 17, 19, 20, 21, 20, 19, 18, 17, 17, 17, 16, 15, 13, 11, 11, 12, 13, 12, 8, 0, 0, 2, 36, 106, 211, 342, 477, 589, 654, 657, 599, 493, 364, 234, 126, 51, 10, 0, 0, 6, 8, 4, 0, 0, 14, 65, 151, 267, 398, 518, 603, 636, 609, 531, 418, 294, 181, 93, 36, 7, 0, 0, 3, 6, 7, 7, 7, 6, 6, 6, 6, 6, 8, 11, 15, 18, 19, 19, 17, 14, 11, 8, 6, 5, 4, 5, 7, 10, 11, 10, 4, 0, 0, 12, 56, 134, 243, 370, 493, 587, 632, 619, 551, 444, 321, 203, 108, 43, 8, 0, 0, 5, 8, 5, 0, 0, 2, 33, 91, 177, 278, 378, 455, 493, 483, 428, 341, 242, 148, 75, 28, 4, 0, 0, 2, 3, 2, 1, 0, 2, 4, 6, 7, 7, 6, 5, 4, 3, 3, 2, 2, 3, 4, 5, 6, 7, 6, 5, 3, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 9, 11, 13, 14, 13, 11, 8, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 5, 8, 11, 14, 16, 16, 15, 13, 10, 6, 3, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 4, 5, 3, 0, 0, 6, 38, 101, 194, 304, 413, 499, 543, 535, 478, 386, 278, 175, 92, 36, 8, 0, 0, 1, 2, 2, 1, 1, 2, 4, 5, 5, 4, 4, 4, 4, 3, 0, 0, 2, 22, 65, 135, 227, 328, 420, 482, 500, 469, 398, 306, 219, 160, 149, 191, 276, 384, 487, 561, 586, 558, 482, 377, 262, 158, 79, 28, 4, 0, 2, 7, 11, 12, 11, 10, 11, 13, 16, 18, 20, 19, 18, 17, 16, 15, 13, 8, 0, 0, 3, 39, 114, 229, 377, 537, 679, 775, 805, 763, 660, 518, 363, 222, 113, 42, 7, 0, 2, 11, 18, 21, 21, 17, 13, 9, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 8, 11, 13, 14, 13, 12, 11, 12, 13, 15, 17, 18, 18, 19, 19, 18, 13, 4, 0, 0, 25, 95, 216, 382, 575, 763, 911, 989, 981, 891, 736, 550, 364, 206, 93, 27, 0, 0, 4, 11, 15, 15, 13, 12, 11, 11, 12, 13, 14, 15, 13, 8, 1, 0, 1, 26, 80, 166, 281, 409, 529, 620, 663, 650, 584, 477, 351, 228, 125, 53, 12, 0, 0, 3, 6, 3, 0, 0, 8, 38, 92, 165, 250, 332, 395, 427, 421, 380, 312, 232, 154, 88, 42, 15, 5, 6, 10, 12, 9, 3, 0, 0, 19, 66, 142, 244, 358, 465, 544, 580, 566, 505, 412, 305, 202, 118, 59, 27, 14, 13, 17, 21, 22, 22, 20, 18, 18, 18, 19, 21, 22, 23, 22, 21, 18, 15, 13, 11, 11, 13, 16, 20, 23, 26, 27, 27, 26, 23, 18, 10, 1, 0, 2, 32, 92, 187, 308, 441, 563, 650, 686, 664, 588, 475, 345, 221, 121, 51, 13, 0, 1, 8, 13, 15, 13, 9, 6, 3, 3, 3, 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, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 4, 5, 6, 6, 5, 3, 1, 0, 0, 0, 1, 3, 2, 0, 0, 1, 20, 62, 132, 224, 330, 431, 509, 548, 539, 485, 397, 291, 187, 101, 42, 9, 0, 0, 1, 3, 3, 1, 0, 0, 0, 0, 0, 0, 1, 3, 4, 3, 0, 0, 4, 29, 78, 152, 243, 338, 418, 467, 475, 441, 373, 291, 214, 164, 155, 190, 263, 356, 446, 511, 533, 506, 437, 344, 251, 186, 168, 203, 286, 397, 509, 594, 631, 610, 538, 432, 320, 229, 183, 189, 245, 333, 430, 508, 550, 545, 494, 410, 309, 209, 123, 60, 22, 4, 0, 0, 2, 1, 0, 1, 15, 51, 111, 193, 289, 381, 453, 488, 479, 432, 359, 281, 219, 187, 191, 227, 286, 351, 406, 439, 439, 405, 344, 272, 209, 178, 195, 263, 372, 497, 611, 684, 699, 653, 556, 430, 299, 183, 95, 38, 9, 0, 1, 5, 9, 11, 12, 13, 14, 14, 12, 9, 6, 3, 1, 1, 2, 1, 0, 0, 6, 29, 75, 146, 236, 336, 429, 497, 527, 512, 457, 372, 273, 178, 99, 44, 12, 0, 0, 1, 3, 4, 4, 3, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 5, 6, 6, 6, 5, 4, 3, 3, 2, 1, 1, 1, 2, 4, 6, 7, 5, 2, 0, 0, 11, 41, 96, 175, 270, 369, 457, 518, 541, 521, 462, 375, 275, 178, 98, 41, 10, 0, 0, 2, 1, 0, 0, 10, 45, 106, 192, 293, 394, 477, 528, 537, 503, 434, 343, 244, 153, 80, 31, 6, 0, 0, 3, 4, 1, 0, 0, 14, 51, 111, 190, 276, 355, 411, 434, 420, 373, 303, 225, 151, 89, 45, 18, 5, 0, 0, 0, 1, 1, 2, 3, 4, 4, 4, 3, 1, 0, 0, 0, 2, 2, 1, 0, 0, 7, 34, 84, 158, 249, 345, 430, 488, 509, 490, 434, 352, 260, 172, 99, 47, 16, 2, 0, 0, 1, 1, 1, 0, 1, 3, 6, 9, 11, 12, 12, 13, 13, 12, 12, 11, 10, 8, 6, 4, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 7, 8, 9, 8, 7, 3, 0, 0, 4, 25, 68, 135, 224, 324, 422, 501, 548, 553, 517, 446, 352, 252, 159, 86, 36, 9, 0, 0, 0, 0, 0, 2, 18, 52, 107, 180, 261, 339, 399, 430, 427, 392, 335, 271, 217, 189, 195, 235, 301, 375, 439, 473, 469, 427, 357, 281, 219, 191, 208, 268, 358, 457, 542, 592, 594, 549, 468, 370, 282, 224, 213, 250, 327, 424, 515, 579, 599, 569, 497, 397, 288, 187, 106, 50, 18, 4, 1, 2, 3, 3, 3, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 8, 9, 9, 9, 8, 8, 9, 11, 13, 15, 18, 19, 20, 20, 18, 17, 15, 13, 12, 11, 10, 10, 9, 8, 7, 6, 4, 0, 0, 1, 14, 43, 92, 159, 237, 315, 380, 418, 424, 398, 350, 294, 247, 225, 235, 278, 342, 413, 473, 506, 504, 466, 399, 314, 226, 147, 84, 40, 14, 2, 0, 0, 1, 2, 2, 3, 4, 6, 8, 10, 12, 14, 13, 11, 7, 4, 5, 17, 45, 96, 170, 263, 364, 459, 531, 568, 561, 513, 433, 335, 235, 148, 82, 39, 16, 8, 7, 10, 13, 14, 14, 13, 11, 8, 4, 1, 0, 0, 0, 1, 1, 0, 0, 4, 24, 63, 124, 203, 293, 381, 450, 490, 494, 460, 396, 314, 227, 147, 84, 41, 17, 8, 7, 10, 12, 11, 9, 6, 2, 1, 1, 2, 4, 5, 6, 7, 7, 7, 7, 7, 7, 7, 6, 5, 3, 2, 2, 2, 3, 4, 5, 5, 5, 4, 3, 2, 2, 3, 5, 7, 8, 8, 8, 6, 5, 3, 3, 3, 4, 6, 9, 11, 13, 13, 13, 13, 12, 11, 11, 11, 11, 11, 9, 7, 4, 2, 0, 0, 0, 2, 3, 4, 4, 3, 2, 2, 2, 1, 0, 0, 0, 5, 25, 62, 119, 192, 273, 351, 412, 446, 447, 416, 357, 282, 202, 129, 70, 31, 9, 1, 0, 0, 0, 0, 5, 21, 53, 101, 162, 228, 289, 336, 359, 356, 328, 280, 221, 159, 102, 57, 26, 8, 1, 0, 0, 0, 0, 0, 12, 40, 88, 153, 229, 304, 367, 408, 419, 401, 355, 292, 220, 150, 91, 47, 19, 5, 1, 3, 6, 8, 8, 8, 7, 7, 8, 11, 14, 17, 18, 19, 19, 17, 14, 8, 2, 0, 4, 27, 74, 151, 255, 378, 504, 612, 683, 705, 676, 604, 506, 407, 328, 285, 284, 319, 376, 437, 483, 500, 482, 432, 358, 273, 190, 121, 70, 40, 25, 20, 18, 13, 6, 0, 1, 24, 81, 179, 317, 485, 665, 830, 953, 1012, 996, 909, 766, 593, 417, 261, 142, 63, 20, 3, 1, 5, 10, 13, 15, 16, 17, 18, 18, 17, 14, 10, 6, 4, 2, 2, 2, 3, 3, 4, 5, 7, 9, 12, 14, 16, 16, 16, 14, 11, 8, 5, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 7, 25, 58, 107, 169, 237, 300, 347, 369, 363, 332, 286, 241, 212, 214, 250, 315, 395, 468, 516, 525, 493, 428, 348, 277, 233, 229, 265, 332, 411, 482, 527, 534, 503, 441, 367, 301, 262, 263, 306, 383, 475, 561, 619, 634, 601, 525, 422, 308, 202, 115, 55, 19, 3, 0, 2, 6, 8, 10, 10, 11, 12, 13, 14, 15, 16, 17, 16, 16, 14, 12, 9, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 9, 12, 15, 17, 18, 18, 16, 15, 13, 11, 10, 9, 9, 10, 12, 13, 15, 15, 14, 12, 9, 6, 5, 5, 6, 9, 11, 12, 11, 9, 7, 4, 3, 2, 1, 1, 2, 3, 4, 5, 5, 2, 0, 0, 15, 54, 125, 227, 353, 482, 592, 660, 672, 625, 531, 409, 283, 174, 95, 46, 25, 20, 22, 25, 25, 22, 18, 16, 15, 15, 16, 16, 15, 12, 9, 9, 13, 25, 47, 79, 122, 174, 235, 301, 366, 423, 464, 481, 470, 432, 371, 297, 220, 150, 95, 56, 32, 21, 17, 16, 17, 16, 15, 13, 10, 8, 5, 3, 2, 2, 1, 0, 0, 0, 3, 15, 39, 79, 135, 205, 282, 356, 415, 451, 456, 430, 377, 307, 231, 159, 100, 58, 33, 21, 18, 19, 20, 19, 17, 14, 11, 11, 14, 18, 23, 27, 30, 30, 28, 24, 20, 15, 11, 9, 8, 8, 10, 12, 14, 15, 15, 14, 13, 13, 16, 24, 34, 48, 61, 73, 79, 80, 75, 66, 54, 43, 34, 30, 30, 35, 43, 50, 54, 53, 45, 35, 32, 48, 98, 188, 317, 467, 612, 723, 777, 767, 706, 625, 560, 539, 573, 648, 736, 803, 820, 775, 672, 528, 364, 205, 74, 0, 0, 59, 215, 426, 643, 809, 879, 838, 710, 546, 403, 320, 306, 338, 379, 396, 374, 320, 257, 206, 181, 181, 195, 209, 214, 209, 198, 186, 178, 175, 175, 175, 173, 170, 166, 162, 159, 158, 158, 159, 159, 160, 159, 159, 158, 157, 158, 159, 161, 163, 164, 163, 161, 157, 153, 149, 146, 144, 143, 144, 145, 146, 147, 147, 146, 145, 144, 142, 141, 140, 140, 141, 143, 145, 148, 150, 149, 145, 138, 128, 115, 101, 87, 72, 58, 44, 31, 21, 12, 7, 4, 3, 2, 2, 2, 2, 2, 2, 3, 3, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 6, 7, 7, 7, 7, 7, 6, 6, 6, 7, 9, 12, 15, 18, 20, 23, 26, 31, 36, 44, 53, 64, 76, 91, 109, 132, 160, 193, 230, 273, 321, 374, 435, 503, 578, 659, 744, 830, 916, 1005, 1098, 1200, 1310, 1428, 1549, 1666, 1768, 1847, 1892, 1892, 1841, 1736, 1578, 1376, 1147, 911, 688, 496, 343, 233, 160, 115, 89, 74, 65, 58, 51, 46, 40, 34, 28, 22, 17, 12, 9, 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],
"peakC": [50, 52, 57, 66, 81, 100, 120, 135, 147, 158, 170, 185, 202, 219, 234, 246, 257, 267, 275, 284, 292, 300, 308, 313, 318, 321, 323, 325, 327, 330, 332, 333, 334, 335, 337, 339, 341, 343, 344, 342, 337, 328, 316, 302, 286, 270, 252, 234, 216, 198, 179, 161, 143, 125, 108, 93, 79, 68, 58, 49, 42, 36, 31, 27, 23, 21, 20, 18, 18, 17, 16, 15, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 16, 16, 16, 16, 16, 15, 15, 15, 15, 15, 15, 14, 14, 14, 14, 14, 15, 16, 19, 22, 27, 34, 43, 53, 67, 82, 100, 120, 142, 164, 188, 212, 236, 259, 279, 297, 311, 323, 332, 340, 347, 352, 356, 358, 359, 359, 357, 354, 349, 341, 330, 314, 293, 270, 244, 218, 192, 166, 142, 118, 96, 76, 60, 47, 37, 31, 27, 24, 22, 19, 17, 16, 14, 14, 13, 13, 13, 13, 12, 12, 11, 10, 10, 10, 10, 11, 11, 11, 11, 10, 9, 8, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 8, 8, 7, 7, 6, 5, 4, 4, 5, 7, 11, 18, 26, 38, 54, 76, 103, 135, 173, 214, 257, 297, 333, 361, 379, 386, 380, 362, 334, 297, 254, 210, 167, 128, 95, 69, 48, 33, 23, 16, 12, 9, 8, 8, 9, 9, 10, 10, 10, 10, 9, 9, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 6, 6, 6, 6, 6, 7, 8, 8, 8, 8, 8, 7, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 3, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 12, 12, 11, 10, 9, 8, 8, 9, 10, 10, 10, 10, 10, 9, 9, 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, 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, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 16, 41, 83, 143, 220, 311, 405, 493, 563, 604, 611, 582, 522, 439, 345, 253, 171, 105, 58, 28, 12, 5, 3, 4, 5, 6, 8, 9, 10, 11, 12, 12, 11, 9, 6, 2, 0, 0, 10, 34, 77, 144, 235, 344, 463, 576, 669, 727, 741, 707, 632, 526, 406, 287, 181, 100, 45, 20, 22, 51, 104, 180, 273, 376, 477, 564, 622, 644, 626, 575, 504, 433, 380, 362, 385, 446, 532, 623, 699, 741, 738, 690, 604, 494, 376, 265, 171, 100, 53, 25, 13, 9, 11, 13, 16, 17, 18, 19, 19, 19, 19, 19, 19, 18, 17, 16, 15, 13, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 4, 3, 2, 1, 2, 2, 4, 5, 6, 5, 4, 3, 2, 2, 2, 0, 0, 0, 11, 42, 101, 190, 307, 441, 574, 686, 758, 779, 745, 662, 544, 412, 283, 174, 92, 38, 10, 0, 0, 3, 7, 10, 13, 15, 17, 19, 20, 21, 21, 21, 20, 19, 17, 16, 14, 12, 10, 7, 6, 4, 3, 3, 2, 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, 1, 2, 3, 4, 4, 5, 6, 7, 8, 8, 8, 7, 6, 5, 4, 3, 3, 4, 5, 7, 8, 9, 10, 9, 8, 6, 4, 2, 2, 2, 3, 5, 6, 8, 8, 8, 8, 8, 6, 5, 2, 0, 0, 0, 0, 2, 3, 1, 0, 0, 10, 47, 114, 213, 335, 463, 574, 650, 674, 645, 568, 458, 336, 220, 125, 59, 19, 2, 0, 0, 2, 4, 5, 6, 8, 10, 12, 13, 13, 12, 10, 9, 8, 8, 8, 9, 10, 11, 12, 12, 13, 13, 13, 13, 12, 11, 9, 8, 7, 5, 4, 3, 3, 3, 2, 2, 2, 1, 1, 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, 2, 4, 6, 8, 10, 11, 11, 11, 10, 8, 6, 4, 3, 2, 2, 4, 5, 7, 9, 9, 10, 11, 11, 11, 10, 8, 4, 0, 0, 0, 2, 4, 3, 0, 0, 5, 38, 105, 212, 350, 500, 634, 725, 752, 708, 603, 463, 323, 219, 178, 212, 316, 465, 623, 752, 824, 822, 749, 622, 467, 314, 183, 88, 31, 4, 0, 3, 9, 15, 18, 19, 20, 21, 21, 21, 21, 20, 19, 19, 20, 20, 19, 18, 15, 11, 7, 4, 2, 2, 4, 6, 9, 12, 13, 14, 14, 12, 11, 9, 7, 6, 5, 5, 6, 6, 7, 8, 8, 8, 8, 7, 7, 5, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 4, 5, 5, 5, 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, 1, 3, 6, 8, 11, 12, 12, 12, 12, 13, 14, 13, 11, 7, 2, 0, 0, 5, 9, 8, 0, 0, 1, 45, 146, 310, 526, 762, 975, 1120, 1165, 1100, 941, 723, 491, 285, 132, 40, 0, 0, 1, 10, 14, 14, 13, 14, 17, 22, 26, 29, 29, 26, 20, 13, 7, 3, 3, 5, 6, 4, 0, 0, 7, 49, 130, 250, 395, 539, 653, 710, 698, 620, 495, 351, 214, 107, 38, 4, 0, 0, 6, 10, 11, 11, 11, 12, 13, 13, 12, 10, 8, 6, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 4, 3, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 4, 7, 10, 13, 14, 14, 13, 11, 7, 4, 2, 2, 5, 8, 11, 11, 9, 6, 4, 5, 7, 8, 6, 0, 0, 3, 42, 123, 246, 398, 552, 675, 741, 733, 653, 520, 365, 217, 102, 30, 0, 0, 5, 9, 3, 0, 0, 39, 127, 263, 432, 604, 743, 817, 810, 724, 581, 412, 252, 126, 44, 4, 0, 0, 8, 12, 13, 11, 10, 10, 11, 12, 13, 13, 12, 13, 13, 14, 14, 13, 11, 9, 8, 6, 5, 4, 3, 2, 1, 0, 0, 1, 2, 4, 5, 5, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 4, 2, 0, 0, 0, 2, 9, 12, 8, 0, 0, 9, 74, 200, 383, 598, 802, 950, 1005, 954, 811, 612, 402, 221, 92, 20, 0, 0, 8, 17, 19, 17, 14, 13, 15, 17, 20, 21, 22, 22, 21, 20, 18, 17, 16, 15, 13, 11, 7, 3, 0, 0, 3, 7, 7, 3, 0, 0, 17, 73, 171, 303, 449, 579, 662, 678, 624, 513, 373, 233, 120, 44, 6, 0, 0, 6, 9, 8, 5, 2, 2, 3, 5, 6, 6, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 8, 10, 12, 12, 11, 9, 7, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 6, 4, 0, 0, 0, 1, 5, 8, 5, 0, 0, 8, 53, 136, 253, 388, 510, 594, 616, 573, 476, 347, 217, 107, 34, 0, 0, 2, 15, 19, 10, 0, 0, 19, 103, 250, 449, 668, 862, 985, 1007, 925, 759, 550, 344, 177, 67, 12, 0, 0, 2, 5, 6, 6, 6, 3, 0, 0, 7, 56, 156, 309, 496, 685, 831, 897, 863, 732, 535, 318, 134, 30, 34, 149, 351, 596, 826, 989, 1048, 991, 837, 626, 405, 216, 86, 16, 0, 0, 10, 17, 16, 12, 8, 7, 10, 14, 17, 19, 18, 17, 16, 15, 14, 13, 11, 8, 5, 3, 3, 4, 6, 9, 12, 14, 15, 14, 12, 9, 7, 5, 3, 3, 2, 3, 3, 4, 4, 3, 2, 1, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 2, 2, 3, 4, 4, 2, 0, 0, 0, 0, 5, 10, 9, 2, 0, 0, 31, 111, 238, 399, 564, 695, 760, 742, 645, 496, 331, 184, 77, 17, 0, 0, 5, 11, 10, 6, 2, 0, 2, 4, 6, 7, 6, 5, 4, 3, 2, 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, 2, 4, 7, 10, 12, 13, 12, 10, 8, 6, 4, 3, 3, 4, 4, 5, 6, 6, 5, 3, 1, 0, 0, 0, 3, 8, 11, 13, 11, 8, 6, 7, 11, 14, 12, 3, 0, 0, 38, 131, 278, 464, 654, 801, 867, 830, 698, 502, 295, 129, 49, 75, 197, 382, 582, 744, 828, 817, 717, 558, 378, 215, 95, 25, 0, 0, 6, 12, 13, 9, 6, 4, 6, 9, 12, 13, 13, 11, 9, 8, 7, 6, 5, 4, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 8, 9, 8, 7, 5, 3, 1, 0, 1, 2, 3, 5, 7, 9, 9, 9, 8, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 7, 10, 13, 14, 13, 11, 8, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 6, 9, 10, 9, 7, 5, 6, 11, 15, 14, 4, 0, 0, 28, 113, 253, 433, 617, 761, 828, 800, 685, 514, 331, 173, 64, 8, 0, 0, 9, 13, 10, 5, 1, 0, 3, 7, 10, 10, 9, 7, 5, 3, 2, 0, 0, 0, 1, 6, 11, 15, 16, 13, 7, 3, 4, 10, 15, 15, 5, 0, 0, 37, 138, 306, 521, 744, 922, 1006, 969, 818, 588, 340, 135, 28, 43, 174, 384, 617, 814, 925, 927, 825, 649, 446, 258, 116, 30, 0, 0, 3, 15, 20, 14, 1, 0, 0, 34, 119, 254, 423, 594, 726, 783, 747, 622, 438, 239, 76, 0, 12, 135, 337, 572, 785, 925, 960, 886, 726, 520, 318, 155, 50, 1, 0, 2, 13, 17, 14, 8, 4, 4, 6, 9, 10, 10, 10, 9, 8, 8, 8, 8, 7, 5, 4, 5, 6, 9, 11, 10, 7, 3, 0, 0, 3, 8, 10, 6, 0, 0, 8, 58, 150, 275, 411, 525, 587, 580, 506, 387, 253, 136, 54, 10, 0, 0, 0, 3, 4, 6, 10, 10, 3, 0, 0, 26, 112, 259, 453, 657, 822, 904, 882, 760, 574, 372, 196, 75, 12, 0, 0, 2, 7, 7, 8, 8, 5, 0, 0, 3, 51, 155, 315, 510, 701, 838, 881, 811, 645, 427, 219, 83, 61, 162, 360, 599, 815, 949, 968, 873, 693, 477, 274, 121, 31, 0, 0, 9, 19, 22, 17, 11, 7, 7, 9, 11, 12, 12, 11, 10, 9, 8, 7, 6, 5, 4, 4, 5, 7, 8, 9, 10, 9, 8, 7, 6, 7, 10, 15, 20, 24, 24, 20, 15, 10, 9, 11, 14, 12, 4, 0, 0, 30, 107, 229, 383, 536, 650, 690, 641, 511, 335, 163, 45, 23, 109, 289, 520, 744, 900, 947, 872, 696, 468, 253, 110, 78, 162, 334, 544, 730, 841, 849, 756, 592, 401, 226, 96, 22, 0, 0, 9, 17, 16, 10, 3, 0, 1, 5, 9, 12, 14, 13, 12, 11, 9, 8, 6, 5, 5, 5, 6, 7, 8, 9, 9, 8, 7, 6, 4, 3, 2, 2, 2, 3, 4, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 2, 0, 0, 0, 1, 4, 6, 7, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 7, 9, 10, 10, 10, 9, 8, 6, 4, 3, 1, 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, 1, 3, 5, 8, 12, 15, 18, 20, 20, 19, 16, 12, 8, 5, 3, 3, 4, 5, 5, 3, 0, 0, 0, 2, 12, 20, 16, 2, 0, 0, 59, 197, 406, 654, 885, 1039, 1073, 978, 782, 539, 307, 131, 29, 0, 0, 8, 17, 15, 5, 0, 0, 1, 11, 20, 22, 17, 7, 0, 1, 10, 21, 23, 10, 0, 0, 34, 165, 386, 671, 963, 1189, 1285, 1227, 1031, 755, 467, 229, 73, 0, 0, 0, 14, 25, 25, 14, 0, 0, 0, 41, 148, 313, 515, 712, 853, 898, 836, 684, 484, 287, 131, 35, 0, 0, 6, 16, 18, 12, 4, 0, 0, 2, 5, 8, 9, 8, 7, 7, 6, 6, 7, 8, 10, 12, 14, 16, 16, 15, 12, 9, 7, 5, 4, 3, 4, 4, 5, 6, 6, 6, 5, 2, 0, 0, 0, 1, 6, 9, 6, 0, 0, 1, 38, 109, 210, 323, 422, 479, 479, 423, 325, 213, 113, 42, 5, 0, 0, 6, 9, 7, 3, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 4, 6, 5, 2, 0, 0, 0, 7, 14, 16, 9, 0, 0, 19, 93, 222, 395, 578, 726, 796, 764, 632, 435, 225, 62, 0, 45, 203, 431, 670, 856, 944, 913, 778, 580, 368, 190, 70, 10, 0, 0, 4, 4, 0, 0, 3, 8, 7, 0, 0, 7, 73, 206, 398, 617, 812, 932, 943, 843, 661, 445, 246, 100, 19, 0, 0, 9, 16, 13, 5, 0, 0, 0, 3, 10, 16, 18, 14, 7, 0, 0, 0, 8, 15, 13, 2, 0, 0, 44, 151, 316, 513, 699, 823, 851, 776, 618, 423, 238, 99, 20, 0, 0, 7, 14, 13, 5, 0, 0, 0, 0, 3, 5, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 5, 12, 22, 35, 47, 57, 62, 57, 42, 18, 0, 0, 28, 118, 262, 440, 613, 738, 776, 712, 560, 359, 164, 30, 0, 63, 225, 436, 641, 788, 841, 792, 657, 476, 292, 143, 46, 1, 0, 1, 10, 12, 7, 0, 0, 0, 0, 4, 7, 9, 7, 3, 0, 0, 0, 3, 11, 14, 9, 0, 0, 7, 69, 184, 343, 515, 658, 733, 718, 619, 463, 294, 148, 49, 1, 0, 0, 9, 12, 8, 1, 0, 0, 0, 2, 5, 6, 6, 5, 3, 2, 1, 1, 2, 4, 5, 4, 1, 0, 0, 0, 6, 14, 16, 8, 0, 0, 21, 110, 264, 464, 672, 834, 906, 867, 729, 531, 325, 155, 46, 0, 0, 2, 13, 15, 9, 0, 0, 0, 0, 4, 8, 10, 11, 10, 8, 6, 4, 2, 1, 0, 0, 2, 4, 7, 10, 13, 14, 14, 13, 11, 9, 7, 6, 6, 6, 8, 9, 10, 11, 9, 7, 4, 2, 2, 3, 6, 7, 7, 6, 5, 8, 14, 20, 20, 10, 0, 0, 15, 96, 240, 431, 633, 794, 871, 842, 716, 531, 333, 165, 52, 0, 0, 0, 16, 28, 26, 10, 0, 0, 13, 102, 257, 463, 680, 854, 939, 909, 775, 573, 358, 177, 56, 0, 0, 0, 13, 16, 10, 1, 0, 0, 0, 7, 12, 15, 16, 15, 13, 11, 8, 4, 1, 0, 1, 4, 9, 11, 11, 7, 2, 0, 4, 12, 18, 16, 4, 0, 0, 42, 155, 330, 542, 743, 881, 915, 838, 672, 463, 264, 113, 25, 0, 0, 6, 14, 12, 5, 0, 0, 0, 1, 4, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 4, 3, 3, 2, 2, 3, 5, 5, 3, 0, 0, 0, 0, 10, 19, 18, 5, 0, 0, 41, 157, 340, 564, 777, 923, 960, 879, 703, 482, 272, 113, 22, 0, 0, 10, 18, 16, 6, 0, 0, 0, 6, 12, 13, 9, 2, 0, 0, 3, 12, 17, 11, 0, 0, 10, 82, 215, 398, 596, 761, 846, 823, 696, 496, 274, 89, 0, 0, 121, 327, 568, 786, 925, 949, 851, 655, 414, 190, 44, 13, 104, 291, 523, 737, 873, 894, 792, 595, 358, 147, 26, 36, 179, 422, 702, 942, 1080, 1082, 954, 736, 486, 262, 102, 17, 0, 0, 15, 23, 20, 10, 3, 1, 6, 14, 20, 21, 16, 9, 2, 0, 4, 10, 13, 8, 0, 0, 11, 69, 174, 316, 470, 598, 664, 647, 546, 386, 208, 60, 0, 8, 133, 336, 571, 780, 909, 922, 813, 612, 374, 164, 38, 30, 137, 326, 542, 724, 823, 818, 716, 548, 361, 196, 78, 15, 0, 0, 8, 12, 9, 2, 0, 0, 0, 4, 8, 9, 9, 6, 4, 2, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 5, 3, 2, 2, 3, 4, 6, 5, 2, 0, 0, 0, 5, 13, 15, 7, 0, 0, 18, 99, 240, 426, 621, 774, 845, 813, 689, 507, 316, 157, 52, 2, 0, 0, 4, 9, 10, 10, 7, 0, 0, 0, 26, 109, 246, 423, 602, 739, 796, 756, 631, 457, 278, 133, 40, 0, 0, 1, 10, 11, 6, 0, 0, 0, 1, 5, 8, 9, 8, 6, 4, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 3, 3, 3, 1, 0, 0, 1, 5, 10, 12, 11, 6, 2, 1, 7, 17, 22, 17, 1, 0, 2, 72, 216, 427, 669, 884, 1012, 1011, 877, 644, 376, 150, 29, 43, 185, 410, 653, 845, 937, 909, 775, 578, 368, 190, 69, 9, 0, 0, 10, 13, 9, 1, 0, 0, 0, 3, 6, 6, 4, 2, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 9, 11, 13, 12, 11, 8, 5, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 8, 9, 8, 7, 5, 3, 1, 0, 0, 0, 1, 3, 5, 7, 8, 9, 9, 8, 6, 4, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 3, 3, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 6, 6, 5, 5, 5, 5, 5, 6, 7, 8, 8, 7, 5, 3, 2, 1, 1, 2, 4, 6, 9, 11, 13, 14, 14, 13, 12, 10, 8, 7, 5, 6, 8, 11, 14, 15, 13, 7, 1, 0, 2, 10, 15, 13, 1, 0, 0, 44, 148, 306, 493, 666, 781, 805, 731, 581, 398, 224, 94, 20, 0, 0, 6, 12, 11, 4, 0, 0, 0, 0, 3, 4, 4, 4, 4, 4, 3, 2, 1, 1, 1, 3, 4, 3, 1, 0, 0, 0, 4, 13, 16, 10, 0, 0, 6, 72, 197, 371, 562, 725, 816, 809, 708, 543, 357, 193, 77, 14, 0, 0, 0, 4, 5, 6, 7, 4, 0, 0, 5, 56, 158, 308, 482, 639, 737, 744, 652, 483, 281, 101, 0, 0, 105, 304, 544, 765, 909, 942, 860, 690, 478, 275, 121, 29, 0, 0, 8, 16, 14, 5, 0, 0, 1, 11, 20, 23, 20, 12, 7, 7, 13, 20, 20, 8, 0, 0, 30, 138, 318, 546, 776, 948, 1014, 955, 791, 567, 341, 161, 48, 0, 0, 0, 6, 7, 5, 5, 7, 5, 0, 0, 1, 55, 171, 347, 557, 753, 885, 915, 837, 673, 469, 272, 120, 28, 0, 0, 4, 19, 25, 19, 3, 0, 0, 26, 119, 269, 457, 646, 789, 846, 802, 670, 488, 301, 148, 47, 0, 0, 0, 10, 20, 22, 14, 0, 0, 0, 44, 154, 324, 527, 720, 851, 882, 805, 642, 440, 247, 102, 20, 0, 0, 7, 15, 12, 4, 0, 0, 0, 4, 10, 14, 15, 14, 11, 8, 6, 4, 4, 5, 6, 8, 10, 11, 11, 11, 10, 8, 6, 5, 4, 3, 3, 5, 6, 7, 9, 9, 9, 8, 6, 3, 1, 0, 0, 2, 6, 9, 10, 7, 2, 0, 0, 8, 17, 20, 12, 0, 0, 12, 97, 253, 464, 692, 879, 975, 953, 820, 614, 389, 197, 67, 3, 0, 0, 12, 15, 10, 1, 0, 0, 0, 6, 10, 9, 5, 0, 0, 0, 3, 12, 18, 12, 0, 0, 2, 69, 200, 388, 599, 783, 892, 894, 791, 612, 406, 219, 86, 14, 0, 0, 8, 14, 10, 3, 0, 0, 0, 3, 7, 8, 7, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 6, 6, 7, 7, 6, 5, 4, 3, 2, 1, 1, 1, 2, 4, 5, 7, 8, 8, 8, 8, 7, 6, 6, 6, 7, 8, 9, 10, 10, 10, 9, 7, 5, 3, 1, 2, 5, 9, 12, 13, 10, 5, 0, 0, 5, 13, 17, 12, 0, 0, 6, 70, 194, 373, 576, 755, 862, 861, 750, 556, 333, 147, 49, 67, 196, 397, 611, 778, 855, 824, 699, 518, 327, 166, 58, 5, 0, 1, 12, 16, 12, 5, 1, 0, 2, 6, 9, 10, 9, 8, 7, 7, 8, 8, 9, 9, 8, 7, 6, 6, 5, 4, 4, 3, 2, 1, 1, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 6, 11, 15, 16, 13, 8, 5, 7, 12, 17, 16, 6, 0, 0, 32, 126, 278, 470, 662, 805, 858, 802, 649, 438, 222, 59, 0, 29, 170, 376, 595, 771, 861, 847, 735, 561, 369, 200, 80, 14, 0, 0, 3, 13, 17, 15, 6, 0, 0, 5, 68, 189, 358, 548, 714, 812, 814, 719, 556, 367, 197, 75, 11, 0, 0, 8, 13, 9, 2, 0, 0, 0, 7, 14, 19, 20, 19, 16, 13, 10, 7, 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, 1, 3, 5, 6, 7, 7, 7, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 5, 4, 4, 4, 6, 9, 11, 11, 8, 3, 0, 0, 3, 10, 16, 13, 3, 0, 0, 44, 140, 288, 464, 631, 742, 765, 686, 526, 326, 144, 33, 26, 130, 320, 546, 749, 879, 904, 823, 661, 463, 274, 127, 37, 0, 0, 3, 11, 11, 5, 0, 0, 0, 0, 4, 6, 7, 6, 5, 3, 2, 1, 0, 0, 0, 1, 2, 4, 4, 2, 0, 0, 0, 2, 10, 14, 10, 0, 0, 2, 56, 163, 318, 496, 657, 758, 773, 698, 555, 381, 219, 96, 24, 0, 0, 4, 10, 9, 3, 0, 0, 0, 2, 7, 11, 11, 8, 4, 0, 0, 0, 4, 9, 10, 5, 0, 0, 14, 68, 161, 282, 407, 506, 552, 533, 454, 337, 213, 108, 38, 3, 0, 0, 6, 8, 4, 0, 0, 0, 6, 12, 15, 13, 8, 1, 0, 0, 6, 11, 10, 2, 0, 0, 31, 110, 234, 384, 528, 631, 664, 620, 511, 368, 226, 110, 35, 0, 0, 0, 7, 15, 17, 10, 0, 0, 0, 49, 155, 313, 500, 677, 798, 831, 767, 624, 442, 263, 122, 35, 0, 0, 3, 10, 10, 4, 0, 0, 0, 6, 13, 18, 19, 18, 15, 12, 9, 8, 8, 9, 9, 9, 8, 7, 6, 4, 3, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 3, 3, 2, 2, 1, 0, 0, 0, 1, 3, 7, 11, 14, 15, 15, 14, 13, 10, 8, 6, 4, 2, 2, 4, 5, 6, 4, 0, 0, 0, 4, 13, 19, 16, 2, 0, 0, 50, 170, 355, 575, 782, 922, 958, 880, 712, 500, 295, 136, 40, 0, 0, 0, 5, 8, 9, 10, 7, 1, 0, 0, 32, 119, 265, 455, 654, 813, 884, 841, 692, 473, 247, 79, 22, 98, 294, 561, 833, 1038, 1125, 1071, 893, 640, 378, 173, 74, 96, 222, 409, 599, 737, 789, 745, 622, 456, 288, 150, 58, 12, 0, 0, 0, 3, 6, 8, 9, 5, 0, 0, 7, 70, 190, 364, 562, 741, 855, 873, 791, 631, 437, 253, 113, 29, 0, 0, 4, 10, 9, 3, 0, 0, 0, 5, 10, 14, 15, 13, 11, 9, 7, 6, 4, 3, 3, 2, 2, 3, 3, 4, 4, 4, 3, 3, 4, 5, 6, 8, 9, 10, 10, 9, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 3, 2, 2, 2, 2, 1, 1, 1, 2, 4, 7, 10, 12, 11, 7, 3, 0, 1, 6, 11, 12, 5, 0, 0, 18, 86, 202, 352, 508, 630, 687, 661, 562, 418, 264, 134, 46, 4, 0, 0, 7, 9, 5, 0, 0, 0, 2, 6, 7, 4, 0, 0, 0, 4, 10, 12, 6, 0, 0, 14, 80, 195, 349, 512, 644, 711, 695, 601, 455, 296, 156, 59, 9, 0, 0, 7, 10, 6, 1, 0, 0, 1, 5, 7, 5, 0, 0, 0, 4, 12, 16, 10, 0, 0, 9, 78, 208, 391, 596, 775, 883, 891, 798, 629, 429, 244, 105, 25, 0, 0, 5, 11, 9, 3, 0, 0, 0, 5, 11, 14, 15, 13, 9, 5, 2, 0, 0, 2, 5, 8, 10, 12, 12, 10, 9, 7, 6, 6, 7, 9, 10, 12, 13, 13, 12, 12, 11, 10, 9, 7, 6, 4, 3, 3, 3, 3, 3, 3, 3, 2, 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, 2, 4, 7, 9, 10, 11, 10, 8, 6, 4, 2, 1, 1, 2, 3, 4, 3, 0, 0, 0, 0, 6, 13, 13, 5, 0, 0, 24, 103, 234, 402, 573, 705, 765, 735, 625, 466, 298, 154, 57, 7, 0, 0, 7, 9, 6, 0, 0, 0, 2, 10, 16, 19, 16, 10, 2, 0, 0, 7, 14, 14, 4, 0, 0, 35, 132, 286, 478, 667, 805, 855, 803, 665, 479, 291, 139, 42, 0, 0, 1, 10, 11, 6, 0, 0, 0, 1, 5, 8, 9, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 2, 1, 0, 1, 2, 3, 6, 8, 9, 10, 11, 11, 10, 9, 9, 8, 8, 9, 10, 10, 11, 12, 12, 11, 10, 8, 7, 5, 5, 6, 7, 9, 11, 13, 13, 12, 11, 8, 6, 4, 4, 4, 5, 6, 8, 10, 11, 12, 11, 10, 7, 5, 3, 1, 0, 0, 1, 2, 3, 3, 1, 0, 0, 0, 3, 9, 11, 6, 0, 0, 9, 63, 160, 293, 436, 558, 625, 620, 545, 421, 280, 154, 63, 13, 0, 0, 4, 7, 6, 2, 0, 2, 8, 14, 19, 21, 19, 16, 12, 8, 5, 4, 3, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 3, 2, 1, 0, 0, 0, 0, 1, 3, 4, 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, 0, 0, 2, 3, 4, 4, 4, 3, 2, 0, 0, 0, 0, 1, 2, 2, 3, 3, 3, 4, 5, 7, 8, 8, 8, 7, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 5, 5, 4, 1, 0, 0, 0, 5, 11, 12, 6, 0, 0, 12, 71, 176, 319, 476, 612, 692, 695, 622, 492, 340, 197, 89, 25, 0, 0, 2, 7, 6, 3, 0, 0, 0, 0, 2, 3, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 8, 9, 10, 10, 10, 9, 9, 8, 7, 6, 4, 2, 1, 1, 2, 4, 4, 3, 0, 0, 0, 2, 9, 14, 11, 1, 0, 1, 50, 154, 310, 497, 674, 798, 833, 767, 616, 417, 222, 82, 32, 80, 213, 394, 574, 710, 767, 738, 633, 481, 319, 178, 75, 16, 0, 0, 5, 16, 20, 14, 0, 0, 0, 43, 150, 315, 517, 716, 866, 927, 884, 750, 560, 361, 191, 74, 13, 0, 0, 9, 14, 11, 6, 2, 2, 7, 13, 16, 16, 13, 10, 9, 11, 15, 16, 10, 0, 0, 8, 63, 169, 320, 494, 653, 756, 775, 702, 553, 368, 193, 75, 46, 111, 255, 442, 623, 754, 803, 756, 626, 445, 258, 111, 40, 61, 167, 328, 502, 644, 719, 711, 626, 488, 333, 192, 87, 25, 0, 0, 3, 8, 9, 6, 2, 1, 3, 6, 10, 11, 11, 8, 6, 5, 8, 13, 18, 16, 8, 0, 0, 20, 90, 211, 372, 545, 691, 770, 760, 660, 496, 310, 152, 65, 71, 166, 325, 503, 654, 741, 742, 663, 526, 366, 217, 103, 33, 2, 0, 1, 6, 6, 2, 0, 0, 0, 2, 5, 6, 6, 5, 4, 4, 3, 4, 4, 4, 3, 3, 3, 3, 4, 5, 5, 6, 6, 7, 7, 7, 7, 7, 7, 6, 5, 5, 4, 4, 3, 2, 2, 3, 5, 6, 6, 4, 1, 0, 0, 3, 9, 11, 7, 0, 0, 5, 53, 147, 282, 436, 578, 673, 698, 648, 537, 393, 248, 128, 46, 3, 0, 0, 11, 18, 15, 2, 0, 0, 39, 135, 285, 471, 657, 801, 862, 824, 692, 501, 300, 142, 66, 90, 207, 381, 568, 717, 794, 782, 687, 538, 370, 218, 104, 35, 4, 0, 0, 1, 3, 5, 6, 6, 2, 0, 0, 21, 86, 198, 351, 520, 667, 755, 760, 676, 525, 346, 184, 84, 69, 144, 286, 459, 619, 725, 753, 700, 582, 429, 274, 145, 58, 12, 0, 0, 5, 8, 8, 6, 5, 7, 11, 15, 17, 17, 15, 12, 10, 9, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 9, 8, 7, 6, 5, 5, 5, 6, 6, 6, 6, 5, 4, 4, 4, 3, 2, 0, 0, 0, 1, 6, 10, 9, 3, 0, 0, 23, 88, 195, 333, 476, 593, 654, 644, 567, 443, 302, 174, 79, 23, 0, 0, 1, 5, 5, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 4, 4, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 3, 5, 7, 8, 8, 8, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 7, 8, 8, 8, 6, 4, 2, 1, 0, 1, 2, 3, 2, 0, 0, 0, 0, 4, 9, 8, 2, 0, 0, 25, 91, 200, 339, 484, 602, 665, 658, 582, 459, 317, 187, 87, 27, 0, 0, 1, 5, 5, 2, 0, 0, 0, 2, 5, 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, 1, 1, 2, 2, 1, 1, 1, 2, 3, 3, 3, 2, 3, 5, 9, 12, 12, 7, 0, 0, 13, 66, 160, 291, 437, 568, 651, 662, 595, 467, 312, 173, 91, 92, 180, 336, 521, 688, 794, 812, 737, 589, 405, 232, 112, 74, 122, 240, 395, 544, 650, 689, 654, 557, 423, 283, 161, 73, 22, 1, 0, 2, 5, 5, 2, 0, 0, 2, 6, 10, 12, 14, 13, 12, 9, 7, 5, 5, 5, 6, 7, 7, 6, 5, 6, 10, 14, 14, 7, 0, 0, 9, 62, 162, 301, 458, 600, 693, 716, 664, 551, 406, 260, 139, 55, 10, 0, 0, 6, 13, 12, 4, 0, 0, 15, 77, 184, 329, 488, 628, 718, 735, 676, 556, 406, 256, 134, 52, 10, 0, 0, 4, 5, 3, 0, 0, 0, 1, 4, 5, 4, 1, 0, 0, 3, 7, 8, 4, 0, 0, 10, 56, 139, 255, 387, 508, 590, 614, 574, 481, 358, 232, 126, 52, 12, 0, 0, 2, 5, 4, 1, 0, 0, 0, 2, 4, 5, 4, 4, 3, 2, 1, 1, 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, 1, 2, 3, 2, 0, 0, 0, 0, 3, 7, 8, 3, 0, 0, 18, 74, 171, 300, 439, 561, 635, 646, 590, 484, 351, 221, 115, 45, 9, 0, 0, 3, 4, 3, 2, 2, 6, 11, 17, 20, 20, 18, 15, 11, 8, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 7, 10, 10, 9, 6, 3, 3, 5, 8, 9, 5, 0, 0, 12, 57, 141, 257, 388, 506, 580, 591, 532, 418, 281, 161, 95, 108, 205, 368, 559, 730, 839, 856, 777, 625, 439, 271, 164, 144, 210, 339, 490, 620, 694, 692, 619, 496, 353, 219, 113, 45, 10, 0, 0, 0, 4, 6, 5, 2, 0, 0, 7, 49, 129, 245, 381, 511, 606, 642, 612, 524, 399, 266, 149, 65, 17, 0, 0, 3, 6, 6, 4, 1, 1, 3, 7, 9, 9, 6, 2, 0, 0, 3, 7, 9, 5, 0, 0, 15, 68, 164, 297, 446, 580, 667, 683, 625, 506, 360, 226, 141, 131, 198, 325, 479, 619, 711, 733, 681, 569, 425, 277, 152, 63, 14, 0, 1, 10, 12, 5, 0, 0, 28, 106, 235, 404, 583, 737, 828, 834, 754, 605, 426, 261, 148, 114, 161, 273, 417, 554, 647, 675, 632, 533, 400, 264, 149, 66, 20, 1, 0, 2, 5, 6, 4, 3, 3, 5, 8, 10, 10, 10, 9, 8, 7, 7, 6, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 6, 7, 8, 8, 8, 9, 9, 8, 8, 9, 9, 11, 13, 14, 14, 12, 9, 7, 6, 6, 7, 5, 1, 0, 0, 16, 59, 130, 224, 327, 417, 474, 486, 450, 375, 280, 183, 101, 44, 12, 0, 0, 1, 2, 2, 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, 3, 3, 3, 3, 2, 1, 1, 2, 2, 3, 3, 3, 4, 5, 6, 6, 5, 3, 1, 1, 3, 5, 6, 3, 0, 0, 7, 43, 108, 199, 302, 398, 464, 484, 456, 386, 292, 194, 110, 49, 14, 0, 0, 1, 3, 3, 1, 0, 0, 0, 2, 4, 5, 6, 5, 4, 4, 4, 6, 8, 11, 13, 13, 11, 9, 8, 9, 11, 11, 6, 0, 0, 7, 52, 139, 265, 413, 554, 657, 698, 668, 575, 443, 300, 174, 81, 26, 2, 0, 0, 3, 3, 0, 0, 0, 2, 7, 11, 13, 12, 10, 8, 8, 10, 11, 7, 0, 0, 3, 42, 120, 237, 382, 527, 643, 704, 697, 623, 502, 361, 226, 119, 48, 11, 0, 0, 3, 5, 5, 4, 5, 8, 11, 15, 17, 17, 16, 15, 14, 15, 15, 14, 10, 4, 0, 0, 13, 48, 107, 186, 276, 361, 423, 447, 425, 362, 273, 179, 108, 84, 121, 217, 358, 513, 647, 726, 730, 659, 531, 380, 246, 165, 159, 228, 351, 496, 623, 699, 708, 647, 533, 393, 255, 140, 61, 17, 0, 0, 1, 3, 1, 0, 0, 0, 4, 9, 13, 14, 12, 9, 6, 3, 2, 2, 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, 2, 4, 6, 7, 8, 8, 7, 6, 5, 3, 2, 1, 0, 0, 0, 1, 3, 5, 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, 3, 5, 7, 8, 9, 9, 9, 9, 8, 7, 6, 5, 4, 5, 7, 10, 13, 15, 15, 14, 14, 14, 14, 14, 9, 1, 0, 0, 32, 104, 220, 371, 533, 674, 766, 786, 732, 616, 465, 309, 176, 80, 24, 1, 0, 0, 3, 3, 0, 0, 0, 1, 5, 8, 11, 11, 11, 9, 8, 6, 5, 4, 3, 2, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 5, 6, 7, 8, 8, 7, 6, 5, 4, 4, 3, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 6, 7, 8, 8, 7, 5, 4, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 5, 7, 10, 12, 14, 13, 11, 8, 6, 7, 9, 10, 7, 0, 0, 0, 34, 109, 230, 386, 552, 697, 790, 811, 758, 644, 495, 339, 202, 99, 34, 4, 0, 1, 6, 6, 0, 0, 0, 25, 84, 179, 300, 431, 545, 619, 639, 600, 513, 398, 277, 169, 87, 36, 10, 1, 2, 5, 7, 8, 8, 9, 12, 15, 17, 19, 19, 17, 15, 13, 12, 12, 12, 13, 15, 17, 18, 19, 20, 20, 21, 21, 21, 20, 15, 5, 0, 0, 21, 83, 188, 331, 493, 646, 759, 808, 784, 695, 560, 409, 265, 149, 69, 24, 6, 4, 8, 9, 4, 0, 0, 14, 67, 161, 292, 444, 590, 700, 750, 730, 643, 513, 369, 247, 175, 169, 228, 338, 469, 591, 672, 692, 647, 547, 418, 291, 200, 166, 201, 295, 426, 561, 667, 718, 700, 619, 495, 360, 246, 183, 184, 248, 357, 484, 594, 662, 670, 618, 519, 394, 268, 161, 83, 36, 14, 9, 11, 13, 12, 8, 1, 0, 0, 19, 66, 145, 253, 380, 506, 609, 668, 672, 620, 524, 403, 279, 172, 91, 40, 15, 7, 9, 12, 13, 8, 0, 0, 3, 33, 94, 187, 304, 431, 544, 619, 642, 605, 520, 410, 304, 233, 218, 264, 361, 482, 598, 677, 701, 664, 575, 455, 326, 210, 120, 60, 28, 15, 9, 5, 0, 0, 8, 43, 111, 213, 339, 470, 582, 651, 661, 612, 515, 396, 283, 204, 179, 211, 292, 399, 503, 579, 609, 585, 514, 412, 298, 193, 108, 51, 18, 4, 1, 3, 4, 5, 4, 4, 4, 5, 7, 9, 10, 11, 10, 9, 7, 5, 4, 4, 4, 4, 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, 1, 1, 1, 1, 0, 0, 0, 0, 2, 3, 2, 0, 0, 6, 36, 93, 179, 286, 398, 494, 555, 568, 532, 454, 352, 245, 149, 77, 31, 7, 0, 0, 0, 1, 1, 1, 2, 5, 8, 11, 12, 12, 11, 10, 9, 8, 8, 8, 8, 9, 11, 14, 16, 18, 19, 19, 18, 16, 12, 5, 0, 0, 9, 47, 115, 213, 329, 446, 542, 598, 602, 555, 469, 362, 253, 158, 87, 41, 16, 6, 3, 3, 3, 4, 6, 9, 13, 17, 18, 18, 17, 16, 15, 12, 7, 0, 0, 2, 36, 106, 217, 361, 520, 665, 768, 809, 780, 688, 553, 402, 259, 144, 65, 20, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 3, 2, 1, 0, 0, 0, 1, 3, 4, 6, 7, 7, 7, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 6, 7, 7, 6, 6, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 9, 13, 19, 25, 30, 35, 37, 38, 36, 33, 30, 27, 27, 28, 32, 38, 45, 52, 57, 59, 57, 52, 45, 36, 27, 20, 16, 13, 12, 11, 11, 11, 10, 9, 8, 7, 7, 7, 7, 7, 7, 7, 6, 5, 4, 3, 4, 5, 6, 8, 9, 9, 8, 8, 7, 7, 7, 5, 1, 0, 0, 11, 43, 98, 177, 269, 362, 438, 483, 488, 452, 386, 301, 213, 135, 76, 38, 18, 10, 7, 5, 0, 0, 3, 28, 81, 165, 277, 402, 522, 613, 658, 647, 584, 484, 373, 278, 222, 218, 266, 350, 449, 535, 588, 593, 550, 469, 366, 260, 165, 93, 45, 18, 6, 3, 3, 4, 5, 6, 7, 9, 11, 12, 12, 11, 9, 7, 6, 4, 3, 3, 2, 2, 2, 2, 2, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 6, 3, 0, 0, 6, 34, 91, 178, 289, 409, 517, 593, 623, 600, 532, 432, 321, 214, 127, 64, 26, 7, 0, 0, 0, 1, 2, 3, 3, 4, 4, 5, 5, 4, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 13, 44, 94, 162, 239, 313, 370, 399, 395, 358, 298, 225, 153, 91, 45, 17, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 2, 1, 0, 0, 0, 0, 0, 2, 4, 6, 8, 10, 11, 13, 14, 13, 12, 10, 8, 6, 4, 4, 4, 5, 6, 6, 6, 5, 3, 2, 1, 1, 2, 4, 5, 6, 6, 5, 4, 4, 5, 5, 3, 0, 0, 3, 27, 77, 156, 259, 372, 477, 555, 592, 582, 529, 443, 340, 237, 147, 78, 34, 10, 2, 1, 1, 0, 0, 1, 21, 66, 138, 234, 343, 449, 533, 580, 583, 541, 463, 365, 262, 169, 95, 45, 16, 3, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 5, 24, 62, 119, 191, 267, 335, 382, 399, 383, 339, 275, 204, 135, 79, 39, 15, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 4, 6, 6, 5, 4, 2, 1, 1, 2, 1, 0, 0, 1, 16, 49, 102, 171, 249, 323, 379, 407, 402, 366, 306, 234, 161, 99, 51, 21, 6, 0, 0, 0, 0, 1, 2, 5, 8, 11, 13, 14, 13, 12, 10, 6, 2, 0, 0, 12, 47, 108, 196, 302, 412, 508, 573, 597, 576, 515, 426, 324, 225, 140, 75, 33, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 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, 2, 3, 5, 5, 5, 3, 2, 2, 2, 2, 1, 0, 0, 5, 27, 70, 138, 230, 336, 442, 530, 585, 597, 565, 495, 401, 297, 200, 119, 61, 25, 6, 0, 0, 0, 0, 0, 0, 2, 6, 9, 11, 13, 12, 11, 10, 8, 5, 2, 0, 0, 8, 33, 77, 141, 222, 309, 390, 450, 479, 471, 429, 360, 276, 193, 120, 65, 29, 9, 1, 0, 0, 0, 0, 1, 2, 3, 5, 6, 7, 7, 6, 4, 1, 0, 0, 8, 33, 80, 151, 242, 342, 437, 509, 546, 542, 498, 423, 332, 240, 158, 94, 49, 22, 7, 1, 0, 0, 1, 3, 5, 6, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 11, 12, 12, 11, 9, 5, 1, 0, 3, 17, 46, 93, 157, 234, 314, 385, 436, 458, 448, 407, 344, 269, 193, 127, 74, 38, 17, 7, 3, 3, 4, 4, 4, 4, 4, 3, 3, 3, 2, 2, 1, 1, 1, 2, 4, 5, 6, 6, 6, 5, 3, 2, 1, 1, 2, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 6, 6, 6, 6, 6, 7, 8, 8, 9, 10, 10, 9, 9, 8, 7, 6, 6, 6, 7, 7, 7, 7, 7, 7, 6, 5, 4, 1, 0, 0, 9, 31, 68, 121, 186, 255, 316, 360, 377, 366, 329, 278, 228, 196, 196, 234, 307, 404, 504, 588, 636, 640, 599, 521, 419, 312, 213, 132, 74, 37, 16, 5, 0, 0, 4, 26, 71, 142, 236, 346, 457, 551, 615, 639, 618, 558, 469, 366, 262, 172, 101, 52, 23, 9, 3, 0, 0, 0, 11, 39, 89, 162, 252, 348, 437, 503, 536, 529, 485, 413, 324, 233, 151, 87, 44, 18, 6, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 4, 3, 1, 1, 0, 1, 1, 2, 2, 2, 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, 1, 2, 3, 3, 4, 4, 4, 4, 4, 2, 0, 0, 4, 24, 64, 131, 224, 334, 447, 544, 608, 626, 595, 525, 434, 344, 279, 254, 274, 333, 416, 501, 566, 597, 584, 531, 446, 346, 246, 158, 90, 44, 17, 4, 1, 1, 0, 0, 0, 3, 21, 58, 119, 202, 299, 398, 483, 540, 558, 537, 481, 405, 327, 266, 237, 245, 289, 355, 428, 487, 519, 515, 476, 407, 321, 231, 150, 86, 41, 15, 3, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 8, 8, 7, 6, 5, 4, 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, 1, 3, 5, 7, 9, 10, 10, 9, 9, 8, 6, 3, 0, 0, 1, 14, 41, 87, 150, 225, 302, 368, 412, 426, 408, 361, 294, 220, 149, 89, 46, 18, 4, 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, 1, 2, 3, 4, 4, 4, 3, 2, 2, 2, 3, 4, 6, 8, 9, 10, 10, 10, 10, 10, 10, 9, 9, 8, 7, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 5, 6, 6, 7, 8, 9, 10, 11, 11, 12, 11, 11, 10, 9, 8, 8, 8, 8, 9, 9, 8, 7, 6, 4, 4, 4, 8, 17, 35, 65, 108, 165, 232, 303, 370, 423, 456, 462, 441, 397, 337, 268, 200, 139, 90, 55, 31, 18, 11, 9, 9, 10, 10, 10, 9, 9, 9, 9, 9, 11, 12, 13, 13, 13, 12, 12, 12, 13, 14, 15, 16, 15, 14, 12, 9, 8, 7, 7, 8, 9, 10, 11, 12, 12, 13, 13, 14, 15, 17, 18, 18, 19, 19, 19, 19, 19, 19, 18, 17, 16, 15, 16, 17, 18, 19, 20, 21, 20, 18, 16, 15, 14, 14, 14, 15, 17, 18, 19, 18, 17, 15, 13, 13, 13, 15, 15, 14, 11, 7, 7, 16, 38, 77, 130, 191, 248, 289, 303, 288, 247, 188, 125, 70, 30, 7, 0, 0, 3, 6, 6, 5, 3, 2, 2, 3, 5, 6, 5, 5, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3, 4, 5, 7, 9, 11, 14, 16, 19, 23, 27, 31, 36, 41, 47, 52, 58, 63, 69, 75, 81, 88, 96, 104, 113, 121, 130, 140, 151, 163, 177, 190, 202, 213, 223, 231, 240, 249, 260, 272, 284, 297, 309, 320, 329, 337, 344, 348, 349, 345, 337, 323, 306, 286, 267, 250, 238, 229, 225, 222, 219, 214, 206, 195, 182, 169, 157, 149, 144, 142, 144, 148, 155, 164, 175, 188, 202, 214, 226, 237, 248, 258, 267, 276, 280, 280, 272, 256, 233, 205, 173, 141, 110, 83, 60, 43, 31, 23, 19, 17, 16, 17, 17, 18, 20, 22, 24, 26, 27, 29, 30, 32, 35, 38, 41, 45, 48, 51, 54, 57, 59, 60, 60, 60, 58, 55, 52, 48, 43, 38, 32, 26, 20, 15, 12, 11, 10, 10, 10, 9, 8, 7, 6, 6, 5, 5, 5, 5, 4, 3, 3, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
"peakG": [115, 112, 106, 98, 85, 70, 58, 50, 47, 45, 42, 37, 31, 25, 21, 19, 17, 17, 16, 15, 13, 12, 11, 10, 9, 9, 9, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 8, 8, 8, 9, 10, 10, 11, 11, 12, 13, 14, 17, 21, 27, 34, 41, 50, 60, 72, 85, 101, 120, 142, 167, 196, 226, 260, 296, 334, 373, 412, 451, 487, 519, 547, 568, 582, 589, 587, 579, 563, 541, 515, 485, 451, 415, 378, 338, 298, 259, 221, 186, 154, 126, 101, 81, 65, 52, 42, 34, 28, 22, 18, 14, 11, 9, 8, 8, 8, 8, 8, 8, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 5, 7, 8, 9, 11, 14, 20, 28, 40, 55, 75, 98, 124, 153, 183, 216, 251, 286, 320, 351, 377, 397, 408, 411, 405, 392, 372, 345, 313, 277, 239, 202, 166, 135, 108, 86, 68, 53, 41, 31, 23, 18, 15, 13, 13, 12, 12, 12, 11, 11, 10, 10, 10, 10, 11, 13, 17, 23, 33, 48, 68, 95, 130, 172, 221, 277, 338, 400, 460, 514, 558, 588, 603, 600, 580, 547, 503, 450, 393, 334, 276, 220, 168, 123, 87, 59, 42, 34, 35, 44, 60, 83, 114, 152, 196, 246, 298, 350, 397, 438, 468, 486, 490, 481, 461, 432, 400, 370, 347, 335, 339, 358, 391, 434, 481, 527, 564, 587, 593, 581, 550, 504, 447, 383, 317, 256, 202, 157, 125, 106, 100, 109, 133, 172, 224, 287, 354, 420, 478, 524, 552, 563, 559, 543, 521, 498, 479, 471, 477, 501, 543, 601, 669, 738, 800, 845, 866, 857, 819, 755, 670, 573, 471, 372, 283, 207, 145, 98, 64, 41, 27, 19, 16, 16, 17, 19, 21, 23, 25, 27, 28, 28, 29, 28, 27, 26, 25, 24, 24, 23, 23, 23, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 21, 19, 17, 14, 10, 7, 4, 2, 0, 0, 0, 1, 13, 39, 84, 153, 248, 366, 502, 646, 785, 905, 992, 1037, 1032, 979, 884, 760, 623, 490, 380, 303, 266, 270, 307, 369, 442, 514, 574, 612, 622, 603, 555, 484, 399, 309, 224, 150, 92, 49, 21, 5, 0, 3, 17, 45, 90, 154, 238, 338, 448, 560, 662, 741, 787, 795, 763, 696, 602, 493, 381, 276, 186, 115, 65, 32, 13, 4, 0, 0, 2, 4, 6, 9, 12, 14, 16, 16, 16, 14, 12, 10, 8, 7, 6, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 5, 7, 7, 8, 8, 8, 8, 7, 6, 5, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 9, 10, 10, 10, 10, 9, 8, 7, 6, 5, 4, 4, 3, 3, 3, 3, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 4, 5, 5, 5, 3, 1, 0, 0, 0, 0, 1, 0, 0, 0, 7, 31, 75, 144, 235, 341, 448, 542, 608, 636, 621, 567, 482, 379, 274, 179, 102, 49, 17, 2, 0, 0, 3, 7, 11, 15, 18, 22, 25, 26, 27, 26, 24, 21, 18, 14, 11, 8, 6, 5, 5, 4, 4, 4, 3, 2, 1, 0, 1, 2, 4, 5, 6, 4, 2, 0, 0, 0, 1, 2, 1, 0, 0, 7, 39, 106, 212, 356, 523, 691, 835, 931, 962, 923, 821, 674, 505, 342, 203, 101, 38, 7, 0, 0, 2, 5, 6, 8, 12, 16, 21, 25, 27, 26, 24, 21, 18, 14, 12, 10, 9, 9, 9, 9, 9, 10, 12, 15, 19, 21, 21, 17, 10, 3, 0, 0, 3, 5, 1, 0, 0, 31, 116, 270, 498, 783, 1088, 1366, 1566, 1651, 1602, 1431, 1172, 873, 591, 370, 241, 211, 266, 377, 509, 627, 704, 723, 683, 592, 470, 338, 216, 119, 52, 15, 0, 0, 0, 3, 5, 6, 8, 10, 13, 16, 18, 19, 21, 23, 25, 27, 28, 28, 27, 25, 21, 18, 16, 14, 14, 14, 14, 15, 14, 13, 11, 9, 7, 5, 3, 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, 1, 2, 3, 5, 6, 8, 9, 9, 9, 8, 7, 6, 5, 5, 5, 6, 8, 10, 11, 12, 12, 11, 10, 8, 7, 5, 5, 4, 4, 3, 3, 3, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 3, 2, 2, 1, 0, 0, 0, 0, 1, 4, 6, 7, 5, 2, 0, 0, 0, 3, 8, 7, 0, 0, 0, 41, 138, 299, 518, 768, 1006, 1188, 1276, 1253, 1125, 919, 677, 441, 246, 110, 33, 0, 0, 0, 1, 4, 4, 3, 0, 0, 0, 24, 94, 220, 403, 627, 857, 1054, 1176, 1200, 1120, 953, 733, 502, 297, 143, 48, 4, 0, 0, 6, 9, 9, 10, 13, 20, 28, 34, 37, 35, 31, 26, 21, 17, 14, 12, 11, 11, 11, 11, 10, 10, 8, 7, 6, 5, 5, 6, 6, 7, 8, 8, 7, 7, 5, 5, 4, 5, 7, 10, 12, 13, 14, 13, 11, 9, 6, 5, 6, 8, 13, 17, 18, 15, 7, 0, 0, 0, 5, 14, 15, 4, 0, 0, 60, 216, 480, 839, 1244, 1621, 1891, 1996, 1912, 1660, 1295, 895, 531, 254, 83, 5, 0, 0, 11, 13, 6, 0, 0, 0, 7, 15, 19, 19, 16, 11, 8, 7, 7, 9, 10, 11, 12, 12, 13, 13, 12, 11, 10, 10, 9, 10, 10, 11, 12, 13, 13, 13, 13, 12, 11, 10, 9, 9, 10, 12, 13, 14, 15, 14, 13, 10, 8, 6, 4, 3, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 5, 6, 6, 6, 5, 5, 4, 5, 6, 7, 9, 11, 11, 11, 11, 10, 8, 6, 4, 2, 1, 2, 4, 7, 10, 10, 6, 0, 0, 0, 0, 10, 15, 11, 0, 0, 10, 96, 269, 532, 855, 1183, 1448, 1588, 1570, 1400, 1118, 788, 477, 234, 79, 7, 0, 0, 7, 9, 5, 0, 0, 0, 0, 0, 13, 52, 125, 235, 372, 514, 630, 696, 695, 628, 511, 369, 231, 120, 46, 8, 0, 0, 4, 6, 6, 5, 6, 10, 14, 19, 22, 23, 22, 20, 18, 16, 14, 11, 8, 6, 4, 3, 2, 2, 3, 3, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 4, 6, 8, 10, 10, 11, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8, 6, 5, 3, 2, 2, 1, 2, 2, 4, 6, 8, 11, 13, 15, 16, 16, 15, 13, 11, 9, 8, 9, 13, 20, 28, 33, 33, 25, 12, 1, 0, 2, 13, 20, 13, 0, 0, 23, 146, 382, 727, 1134, 1525, 1815, 1933, 1851, 1587, 1203, 781, 401, 125, 0, 0, 134, 367, 648, 922, 1135, 1242, 1220, 1071, 828, 542, 274, 82, 4, 53, 218, 463, 735, 977, 1138, 1185, 1112, 938, 705, 461, 252, 105, 23, 0, 0, 6, 10, 8, 2, 0, 0, 5, 12, 17, 18, 16, 13, 11, 10, 11, 13, 17, 21, 23, 23, 20, 13, 7, 4, 5, 9, 11, 7, 0, 0, 8, 65, 178, 343, 541, 732, 874, 932, 891, 762, 577, 379, 207, 85, 18, 0, 0, 5, 9, 7, 1, 0, 0, 2, 8, 14, 17, 17, 16, 14, 13, 11, 9, 8, 7, 7, 8, 10, 12, 14, 15, 15, 13, 12, 10, 8, 7, 6, 6, 7, 7, 8, 7, 7, 5, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 10, 13, 15, 15, 14, 12, 9, 7, 6, 5, 5, 6, 6, 7, 7, 6, 6, 5, 4, 4, 4, 5, 7, 8, 9, 10, 10, 8, 7, 5, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 8, 9, 10, 10, 9, 8, 8, 9, 12, 16, 19, 20, 17, 11, 4, 0, 2, 7, 12, 9, 0, 0, 2, 56, 170, 347, 566, 786, 959, 1041, 1012, 879, 676, 453, 254, 111, 30, 0, 0, 0, 0, 0, 5, 11, 11, 2, 0, 0, 52, 200, 450, 782, 1139, 1442, 1616, 1614, 1437, 1132, 775, 444, 195, 49, 0, 0, 8, 19, 17, 7, 0, 0, 0, 5, 11, 13, 12, 8, 5, 3, 3, 5, 6, 8, 9, 9, 9, 9, 8, 8, 6, 5, 3, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 3, 4, 4, 4, 3, 2, 1, 0, 1, 2, 4, 6, 8, 10, 11, 11, 10, 8, 6, 4, 4, 4, 4, 6, 7, 8, 8, 8, 8, 7, 7, 6, 6, 6, 6, 6, 7, 7, 8, 9, 9, 9, 8, 7, 6, 5, 4, 3, 2, 2, 1, 1, 1, 1, 2, 3, 4, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 10, 13, 12, 7, 0, 0, 0, 2, 12, 18, 13, 0, 0, 7, 89, 252, 490, 769, 1030, 1210, 1261, 1170, 962, 690, 420, 202, 62, 0, 0, 1, 14, 16, 9, 0, 0, 0, 1, 7, 10, 10, 8, 5, 3, 2, 3, 4, 6, 9, 12, 14, 14, 11, 5, 0, 0, 0, 5, 11, 11, 3, 0, 0, 35, 126, 272, 455, 641, 785, 850, 818, 700, 526, 338, 177, 66, 9, 0, 0, 7, 11, 8, 1, 0, 0, 0, 2, 4, 4, 3, 2, 1, 2, 3, 5, 7, 8, 9, 8, 7, 6, 5, 5, 5, 5, 5, 6, 5, 5, 4, 3, 2, 2, 1, 2, 2, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 1, 2, 3, 5, 6, 7, 8, 9, 10, 10, 10, 9, 8, 6, 5, 3, 3, 2, 3, 5, 6, 9, 10, 11, 12, 11, 9, 7, 7, 8, 9, 10, 9, 6, 2, 0, 0, 5, 11, 13, 7, 0, 0, 18, 87, 209, 374, 555, 710, 801, 800, 706, 537, 331, 137, 3, 0, 71, 300, 630, 1001, 1334, 1548, 1590, 1451, 1169, 818, 480, 219, 61, 0, 0, 4, 14, 10, 1, 0, 0, 3, 3, 0, 0, 20, 97, 238, 434, 653, 844, 957, 961, 855, 668, 450, 249, 102, 20, 0, 0, 7, 14, 11, 3, 0, 0, 2, 8, 14, 15, 14, 11, 7, 6, 5, 5, 5, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 1, 0, 0, 0, 0, 5, 9, 8, 1, 0, 0, 29, 99, 209, 345, 479, 578, 616, 582, 486, 354, 219, 110, 39, 6, 0, 0, 0, 0, 0, 2, 13, 18, 11, 0, 0, 24, 144, 365, 671, 1009, 1299, 1466, 1461, 1287, 992, 654, 350, 134, 18, 0, 0, 15, 24, 18, 5, 0, 0, 0, 3, 7, 8, 6, 3, 0, 0, 0, 0, 0, 0, 0, 2, 3, 4, 3, 0, 0, 0, 0, 5, 11, 12, 5, 0, 0, 21, 97, 227, 397, 575, 718, 786, 761, 651, 485, 308, 156, 55, 4, 0, 0, 4, 7, 7, 5, 2, 0, 0, 0, 15, 67, 159, 287, 427, 550, 622, 624, 554, 433, 290, 160, 65, 12, 0, 0, 5, 9, 7, 2, 0, 0, 0, 4, 10, 13, 15, 14, 13, 12, 10, 9, 8, 7, 7, 7, 8, 9, 10, 10, 10, 9, 8, 8, 11, 15, 21, 24, 22, 14, 3, 0, 0, 4, 19, 26, 17, 0, 0, 15, 133, 354, 665, 1009, 1305, 1476, 1473, 1295, 988, 630, 304, 73, 0, 6, 146, 350, 565, 740, 836, 829, 722, 542, 331, 141, 16, 0, 62, 222, 432, 641, 801, 872, 839, 716, 534, 341, 175, 63, 6, 0, 0, 10, 12, 7, 0, 0, 1, 11, 21, 24, 20, 10, 0, 0, 0, 12, 20, 17, 0, 0, 0, 77, 238, 479, 761, 1019, 1188, 1219, 1103, 875, 596, 333, 138, 27, 0, 0, 10, 19, 15, 5, 0, 0, 2, 12, 20, 23, 21, 16, 11, 8, 7, 6, 5, 5, 4, 3, 3, 4, 5, 5, 5, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 9, 10, 10, 9, 9, 8, 7, 7, 7, 7, 6, 5, 4, 3, 1, 1, 1, 1, 2, 3, 4, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 7, 9, 11, 10, 6, 0, 0, 0, 1, 14, 24, 20, 2, 0, 0, 77, 248, 509, 818, 1105, 1296, 1337, 1213, 956, 634, 322, 88, 0, 0, 130, 343, 582, 789, 913, 926, 829, 649, 436, 240, 97, 17, 0, 0, 9, 15, 12, 4, 0, 0, 0, 2, 5, 6, 5, 3, 1, 0, 0, 0, 0, 1, 2, 3, 4, 4, 3, 3, 2, 1, 1, 2, 3, 3, 4, 3, 3, 2, 2, 2, 2, 3, 4, 6, 7, 8, 8, 8, 8, 8, 7, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 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, 1, 1, 2, 3, 4, 5, 7, 9, 11, 13, 14, 13, 11, 9, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 8, 9, 8, 7, 6, 5, 5, 5, 7, 8, 9, 9, 8, 6, 4, 3, 2, 3, 4, 6, 8, 9, 9, 9, 9, 7, 7, 6, 6, 7, 8, 9, 9, 9, 9, 8, 8, 8, 8, 8, 9, 11, 11, 12, 11, 10, 9, 8, 8, 8, 9, 10, 11, 11, 10, 9, 7, 4, 2, 1, 1, 2, 4, 6, 8, 9, 10, 11, 12, 13, 12, 10, 6, 1, 0, 2, 7, 12, 12, 4, 0, 0, 23, 95, 214, 366, 519, 635, 683, 648, 542, 394, 240, 115, 34, 0, 0, 1, 9, 10, 5, 0, 0, 0, 1, 4, 6, 6, 4, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 3, 5, 7, 8, 8, 7, 6, 5, 4, 5, 5, 7, 8, 10, 10, 10, 10, 9, 8, 7, 6, 6, 7, 7, 7, 6, 5, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 4, 4, 3, 2, 0, 0, 0, 0, 0, 0, 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, 2, 4, 7, 9, 11, 12, 11, 10, 9, 7, 6, 6, 6, 7, 7, 8, 9, 10, 11, 13, 14, 16, 18, 19, 20, 19, 18, 16, 13, 11, 9, 8, 7, 7, 7, 7, 6, 5, 4, 2, 1, 0, 1, 2, 4, 6, 8, 9, 8, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 5, 7, 10, 11, 10, 7, 2, 0, 0, 4, 9, 10, 6, 0, 0, 11, 62, 150, 268, 389, 485, 528, 505, 422, 297, 161, 46, 0, 0, 84, 256, 481, 714, 899, 989, 960, 820, 608, 381, 188, 60, 0, 0, 0, 13, 15, 9, 0, 0, 0, 7, 14, 18, 17, 12, 8, 5, 5, 7, 10, 13, 14, 15, 15, 14, 12, 10, 8, 6, 4, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 3, 8, 12, 10, 3, 0, 0, 25, 88, 188, 312, 432, 518, 548, 511, 418, 296, 175, 79, 20, 0, 0, 2, 8, 8, 4, 0, 0, 0, 0, 2, 3, 2, 1, 0, 0, 1, 3, 5, 7, 8, 8, 7, 5, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 3, 3, 1, 0, 0, 0, 3, 9, 12, 8, 0, 0, 3, 49, 137, 262, 401, 521, 589, 585, 511, 389, 250, 128, 44, 2, 0, 0, 7, 10, 7, 1, 0, 0, 0, 1, 3, 3, 2, 2, 2, 3, 4, 6, 7, 7, 8, 10, 11, 12, 11, 7, 1, 0, 0, 0, 8, 15, 14, 3, 0, 0, 42, 145, 306, 500, 685, 811, 842, 767, 603, 391, 185, 32, 0, 10, 152, 365, 602, 807, 930, 939, 834, 647, 428, 229, 86, 11, 0, 0, 11, 16, 10, 1, 0, 0, 6, 16, 23, 24, 20, 14, 8, 4, 3, 4, 5, 6, 7, 6, 5, 4, 3, 2, 2, 1, 1, 2, 2, 3, 4, 6, 6, 7, 6, 5, 4, 2, 1, 0, 0, 0, 1, 2, 4, 3, 1, 0, 0, 0, 2, 9, 13, 8, 0, 0, 6, 60, 165, 312, 475, 617, 697, 694, 607, 457, 281, 121, 12, 0, 18, 132, 295, 471, 619, 705, 706, 624, 482, 319, 171, 66, 9, 0, 0, 7, 11, 8, 2, 0, 0, 5, 11, 14, 13, 9, 6, 3, 4, 6, 11, 15, 18, 19, 19, 18, 16, 14, 12, 11, 8, 7, 6, 6, 8, 10, 11, 10, 6, 1, 0, 1, 7, 12, 11, 2, 0, 0, 32, 115, 245, 405, 558, 665, 696, 640, 515, 356, 202, 85, 17, 0, 0, 5, 12, 10, 4, 0, 0, 0, 1, 4, 5, 4, 3, 3, 3, 5, 7, 9, 12, 15, 19, 22, 21, 16, 7, 0, 0, 2, 14, 22, 19, 2, 0, 0, 71, 230, 472, 758, 1023, 1199, 1234, 1119, 888, 604, 337, 138, 25, 0, 0, 11, 21, 17, 6, 0, 0, 0, 4, 13, 17, 17, 11, 3, 0, 0, 4, 16, 23, 18, 2, 0, 0, 68, 215, 433, 686, 914, 1057, 1072, 953, 732, 466, 218, 42, 0, 3, 130, 318, 524, 699, 802, 808, 719, 560, 373, 203, 79, 12, 0, 0, 8, 13, 10, 3, 0, 0, 0, 1, 3, 4, 3, 3, 4, 6, 9, 12, 14, 15, 14, 11, 9, 7, 5, 5, 6, 6, 7, 6, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 3, 3, 3, 3, 2, 0, 0, 0, 0, 1, 6, 9, 7, 0, 0, 0, 35, 105, 208, 326, 430, 492, 495, 438, 338, 222, 118, 44, 5, 0, 0, 5, 8, 7, 5, 5, 8, 12, 17, 19, 18, 16, 13, 11, 11, 12, 14, 17, 20, 22, 23, 22, 18, 12, 6, 4, 6, 12, 15, 11, 0, 0, 0, 47, 146, 295, 470, 632, 739, 761, 692, 552, 379, 214, 90, 19, 0, 0, 6, 12, 10, 3, 0, 0, 0, 5, 9, 10, 9, 6, 3, 2, 2, 3, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 1, 4, 7, 11, 14, 16, 17, 16, 14, 12, 9, 7, 6, 6, 7, 8, 9, 9, 9, 9, 7, 6, 5, 4, 5, 6, 7, 8, 8, 7, 5, 4, 3, 2, 3, 4, 6, 8, 9, 10, 10, 9, 8, 7, 7, 6, 6, 7, 9, 10, 12, 13, 14, 13, 11, 9, 7, 4, 3, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 6, 7, 8, 10, 10, 10, 8, 7, 5, 4, 3, 4, 6, 8, 10, 12, 12, 12, 10, 7, 5, 3, 2, 2, 2, 3, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 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, 0, 1, 4, 7, 10, 12, 13, 12, 8, 4, 0, 0, 2, 7, 9, 7, 0, 0, 0, 30, 94, 190, 303, 407, 476, 490, 446, 356, 245, 139, 59, 13, 0, 0, 3, 7, 7, 5, 4, 7, 12, 18, 21, 20, 15, 9, 5, 4, 7, 11, 11, 5, 0, 0, 15, 67, 157, 273, 393, 487, 530, 509, 427, 302, 165, 49, 0, 0, 89, 263, 487, 715, 892, 974, 938, 797, 589, 368, 181, 58, 0, 0, 0, 12, 15, 9, 0, 0, 0, 0, 4, 7, 6, 4, 3, 3, 5, 8, 11, 13, 13, 11, 8, 5, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 5, 7, 9, 9, 8, 6, 3, 1, 0, 0, 0, 0, 0, 1, 2, 4, 6, 7, 8, 7, 5, 3, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 3, 4, 5, 5, 4, 2, 1, 0, 0, 1, 2, 5, 6, 7, 7, 6, 4, 3, 1, 0, 0, 1, 2, 4, 5, 6, 6, 5, 4, 2, 1, 0, 0, 0, 2, 4, 6, 8, 8, 8, 7, 6, 4, 3, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 4, 7, 9, 11, 12, 12, 11, 10, 8, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 3, 3, 2, 2, 3, 5, 7, 9, 11, 12, 12, 11, 9, 8, 6, 4, 3, 2, 3, 5, 11, 17, 21, 23, 19, 12, 6, 4, 8, 15, 18, 10, 0, 0, 11, 88, 231, 425, 635, 810, 901, 883, 762, 572, 364, 184, 63, 3, 0, 0, 11, 14, 9, 0, 0, 0, 2, 10, 16, 19, 18, 15, 10, 6, 5, 7, 11, 13, 10, 3, 0, 0, 31, 97, 201, 327, 450, 539, 567, 523, 413, 263, 112, 5, 0, 66, 260, 534, 833, 1089, 1238, 1243, 1105, 862, 578, 318, 128, 23, 0, 0, 11, 18, 13, 3, 0, 0, 8, 19, 27, 29, 25, 18, 11, 7, 5, 6, 7, 8, 9, 9, 9, 9, 8, 6, 5, 3, 2, 2, 3, 4, 6, 7, 7, 5, 3, 3, 5, 9, 13, 13, 6, 0, 0, 12, 64, 157, 281, 413, 523, 581, 570, 494, 374, 241, 125, 45, 4, 0, 0, 6, 9, 7, 3, 1, 3, 9, 16, 21, 23, 21, 17, 11, 6, 3, 4, 7, 10, 9, 2, 0, 0, 24, 85, 180, 297, 411, 494, 522, 487, 395, 269, 138, 33, 0, 1, 97, 258, 455, 646, 787, 843, 799, 670, 490, 303, 148, 47, 0, 0, 0, 10, 12, 6, 0, 0, 0, 4, 9, 12, 11, 6, 2, 1, 4, 8, 10, 6, 0, 0, 8, 56, 143, 263, 395, 507, 571, 569, 501, 387, 257, 140, 55, 9, 0, 0, 5, 8, 6, 1, 0, 0, 0, 2, 5, 6, 6, 5, 4, 3, 3, 4, 5, 6, 5, 5, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 2, 0, 0, 0, 2, 5, 8, 11, 11, 9, 5, 0, 0, 0, 5, 10, 11, 5, 0, 0, 18, 78, 179, 310, 444, 551, 599, 575, 482, 343, 190, 62, 0, 0, 81, 241, 443, 643, 792, 854, 814, 684, 502, 312, 156, 54, 4, 0, 0, 0, 3, 6, 9, 10, 3, 0, 0, 18, 106, 265, 485, 723, 923, 1031, 1015, 879, 663, 424, 217, 75, 4, 0, 0, 12, 16, 10, 0, 0, 0, 6, 15, 20, 20, 16, 10, 5, 2, 2, 3, 5, 6, 6, 5, 4, 3, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 7, 8, 9, 9, 8, 7, 5, 4, 3, 3, 4, 5, 5, 6, 6, 5, 4, 3, 1, 0, 0, 1, 2, 5, 7, 10, 12, 13, 13, 11, 9, 7, 5, 3, 3, 4, 5, 6, 6, 5, 4, 2, 1, 0, 0, 0, 1, 2, 3, 4, 5, 5, 5, 5, 4, 4, 3, 2, 2, 1, 1, 0, 0, 0, 1, 2, 3, 5, 8, 9, 11, 13, 15, 18, 20, 22, 20, 16, 9, 4, 3, 8, 16, 19, 13, 0, 0, 8, 81, 221, 420, 643, 839, 956, 960, 846, 643, 401, 177, 23, 0, 33, 194, 419, 657, 852, 957, 947, 829, 637, 421, 229, 93, 18, 0, 0, 0, 7, 10, 11, 9, 1, 0, 0, 21, 110, 270, 487, 724, 925, 1035, 1025, 896, 686, 449, 238, 90, 12, 0, 0, 10, 15, 10, 2, 0, 0, 2, 9, 13, 13, 11, 7, 5, 6, 8, 8, 4, 0, 0, 8, 44, 108, 193, 284, 361, 404, 400, 351, 270, 178, 96, 37, 6, 0, 0, 3, 5, 4, 0, 0, 0, 1, 4, 7, 8, 8, 6, 5, 5, 6, 8, 11, 12, 12, 11, 9, 7, 5, 4, 4, 5, 5, 6, 6, 5, 4, 3, 2, 1, 1, 0, 0, 1, 1, 2, 3, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 5, 6, 6, 6, 5, 3, 1, 0, 0, 0, 2, 4, 5, 6, 6, 5, 4, 3, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 8, 8, 8, 7, 5, 4, 4, 4, 6, 8, 9, 10, 10, 9, 7, 5, 4, 4, 5, 6, 7, 8, 9, 11, 13, 14, 13, 9, 2, 0, 0, 3, 13, 18, 13, 0, 0, 2, 71, 210, 413, 647, 859, 995, 1016, 919, 730, 500, 284, 122, 27, 0, 0, 7, 14, 13, 7, 2, 3, 10, 18, 23, 24, 21, 16, 12, 9, 9, 11, 12, 13, 14, 13, 11, 9, 7, 5, 5, 5, 7, 8, 8, 7, 6, 4, 2, 1, 1, 2, 4, 6, 8, 10, 10, 11, 11, 10, 9, 7, 4, 1, 0, 0, 2, 6, 7, 5, 0, 0, 2, 28, 80, 156, 244, 326, 382, 395, 363, 292, 197, 98, 19, 0, 3, 92, 245, 439, 635, 788, 859, 830, 709, 529, 336, 171, 59, 3, 0, 0, 9, 12, 8, 1, 0, 0, 0, 4, 6, 5, 3, 1, 1, 2, 5, 8, 10, 10, 9, 7, 5, 3, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 3, 5, 6, 7, 6, 5, 3, 1, 0, 0, 0, 2, 4, 6, 7, 7, 7, 7, 7, 7, 4, 1, 0, 0, 0, 7, 15, 16, 8, 0, 0, 24, 114, 267, 470, 684, 859, 947, 922, 789, 580, 347, 144, 14, 0, 53, 202, 393, 581, 722, 782, 750, 638, 475, 303, 156, 56, 6, 0, 0, 8, 10, 6, 0, 0, 0, 7, 15, 19, 17, 10, 1, 0, 0, 10, 18, 17, 4, 0, 0, 52, 183, 390, 645, 897, 1084, 1154, 1089, 907, 658, 404, 196, 61, 0, 0, 1, 13, 16, 9, 0, 0, 0, 0, 4, 7, 8, 7, 6, 6, 6, 6, 6, 5, 5, 5, 4, 2, 0, 0, 0, 2, 6, 9, 8, 1, 0, 0, 23, 80, 170, 280, 388, 468, 498, 471, 393, 287, 179, 89, 31, 2, 0, 0, 1, 4, 6, 7, 6, 1, 0, 0, 16, 71, 165, 293, 433, 554, 624, 626, 557, 438, 297, 167, 71, 15, 0, 0, 4, 8, 7, 2, 0, 0, 2, 6, 8, 8, 5, 3, 2, 5, 8, 10, 7, 0, 0, 2, 35, 100, 194, 302, 401, 466, 480, 439, 354, 248, 145, 66, 17, 0, 0, 2, 6, 6, 3, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 8, 11, 13, 13, 13, 12, 10, 8, 7, 8, 9, 12, 14, 16, 17, 19, 20, 21, 21, 19, 14, 7, 1, 1, 6, 15, 19, 12, 0, 0, 7, 84, 233, 445, 688, 906, 1044, 1065, 964, 769, 532, 307, 135, 34, 0, 0, 5, 13, 12, 5, 1, 1, 8, 16, 21, 21, 17, 11, 6, 3, 2, 3, 4, 5, 5, 5, 6, 6, 6, 5, 3, 2, 1, 0, 1, 1, 2, 3, 3, 2, 2, 1, 2, 3, 5, 7, 8, 9, 9, 7, 5, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 4, 6, 8, 9, 8, 7, 5, 3, 1, 1, 1, 2, 3, 5, 6, 7, 8, 7, 5, 4, 2, 1, 1, 1, 3, 4, 5, 7, 7, 7, 7, 6, 4, 3, 1, 0, 0, 0, 0, 1, 3, 5, 6, 7, 7, 5, 2, 0, 0, 3, 7, 9, 7, 0, 0, 2, 37, 109, 216, 342, 461, 544, 569, 530, 438, 315, 192, 93, 29, 0, 0, 0, 5, 6, 4, 2, 2, 6, 11, 14, 15, 13, 10, 7, 5, 4, 5, 6, 7, 7, 7, 6, 5, 4, 4, 4, 5, 5, 6, 7, 8, 8, 9, 8, 7, 6, 5, 5, 7, 9, 11, 14, 15, 16, 16, 14, 11, 9, 7, 7, 9, 12, 12, 8, 2, 0, 5, 36, 99, 195, 312, 429, 517, 550, 513, 411, 268, 126, 35, 35, 147, 361, 635, 909, 1116, 1205, 1156, 984, 737, 474, 249, 94, 14, 0, 0, 10, 14, 9, 1, 0, 1, 10, 19, 24, 23, 18, 12, 6, 4, 4, 6, 9, 12, 13, 14, 13, 12, 10, 9, 9, 10, 12, 15, 17, 19, 19, 17, 15, 12, 9, 7, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 2, 1, 0, 0, 0, 1, 2, 3, 3, 4, 3, 2, 1, 0, 0, 0, 0, 1, 2, 3, 3, 3, 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, 1, 2, 3, 4, 4, 3, 2, 1, 0, 1, 2, 4, 7, 8, 9, 9, 7, 5, 3, 1, 0, 0, 0, 2, 5, 7, 9, 10, 10, 9, 7, 5, 3, 2, 2, 3, 5, 7, 8, 9, 8, 6, 4, 3, 2, 2, 3, 5, 6, 6, 5, 4, 3, 2, 1, 1, 2, 3, 3, 4, 4, 5, 6, 7, 7, 6, 6, 5, 6, 7, 9, 10, 7, 2, 0, 0, 17, 56, 120, 200, 283, 351, 388, 384, 341, 270, 187, 110, 52, 15, 0, 0, 0, 2, 5, 6, 4, 0, 0, 0, 20, 69, 151, 259, 376, 477, 538, 543, 491, 396, 281, 171, 85, 29, 2, 0, 0, 0, 6, 12, 13, 7, 0, 0, 13, 91, 240, 455, 704, 934, 1091, 1133, 1049, 861, 619, 377, 183, 58, 1, 0, 0, 11, 13, 8, 0, 0, 0, 0, 3, 5, 4, 2, 1, 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, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 3, 4, 4, 4, 3, 1, 1, 1, 2, 4, 7, 10, 12, 13, 13, 12, 10, 9, 8, 8, 10, 13, 18, 22, 26, 28, 27, 25, 21, 17, 14, 12, 12, 12, 13, 13, 12, 11, 9, 7, 6, 6, 6, 8, 10, 13, 15, 16, 16, 15, 14, 12, 9, 7, 5, 4, 4, 4, 6, 7, 8, 9, 9, 8, 7, 5, 4, 3, 3, 4, 6, 9, 12, 15, 17, 18, 17, 14, 11, 8, 5, 4, 3, 3, 4, 4, 4, 4, 3, 3, 4, 5, 7, 8, 9, 9, 8, 7, 5, 4, 3, 4, 5, 7, 8, 9, 9, 9, 8, 6, 4, 2, 0, 0, 0, 1, 3, 6, 7, 8, 8, 6, 4, 2, 0, 0, 0, 0, 0, 1, 2, 3, 3, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 3, 5, 7, 8, 8, 7, 6, 4, 3, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 4, 4, 3, 3, 4, 4, 4, 2, 0, 0, 5, 27, 66, 119, 178, 230, 263, 268, 245, 200, 144, 89, 45, 16, 1, 0, 0, 1, 3, 5, 6, 3, 0, 0, 0, 21, 65, 133, 219, 308, 382, 421, 418, 372, 296, 207, 124, 59, 19, 1, 0, 0, 3, 3, 3, 2, 3, 5, 7, 8, 8, 6, 4, 2, 2, 2, 2, 2, 3, 4, 6, 7, 8, 6, 2, 0, 0, 2, 9, 15, 13, 3, 0, 0, 44, 149, 318, 533, 754, 933, 1025, 1003, 872, 661, 423, 214, 81, 52, 129, 288, 487, 675, 807, 852, 804, 677, 505, 328, 177, 72, 14, 0, 0, 2, 9, 13, 11, 3, 0, 0, 16, 86, 214, 396, 606, 805, 946, 994, 938, 792, 591, 381, 203, 80, 14, 0, 0, 6, 9, 6, 1, 0, 0, 5, 11, 13, 13, 9, 5, 2, 2, 2, 3, 5, 6, 7, 8, 8, 6, 4, 3, 2, 4, 7, 8, 4, 0, 0, 6, 43, 114, 216, 336, 451, 536, 569, 544, 466, 356, 237, 133, 58, 15, 0, 0, 0, 5, 7, 6, 1, 0, 0, 6, 38, 100, 189, 296, 401, 481, 517, 498, 431, 331, 221, 124, 53, 13, 0, 0, 2, 5, 4, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 3, 4, 5, 5, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 4, 4, 2, 0, 0, 0, 1, 4, 6, 3, 0, 0, 6, 41, 105, 197, 303, 401, 469, 492, 462, 390, 292, 190, 104, 44, 11, 0, 0, 0, 1, 3, 4, 3, 0, 0, 0, 16, 60, 136, 241, 358, 465, 535, 550, 503, 404, 277, 155, 73, 56, 115, 241, 408, 576, 707, 766, 738, 631, 470, 297, 154, 78, 88, 179, 330, 502, 652, 746, 762, 698, 572, 414, 258, 131, 47, 6, 0, 0, 5, 7, 4, 0, 0, 0, 4, 8, 11, 11, 11, 11, 11, 12, 11, 7, 0, 0, 6, 37, 97, 185, 291, 396, 478, 519, 509, 450, 356, 249, 150, 72, 23, 0, 0, 0, 4, 10, 11, 5, 0, 0, 9, 64, 169, 324, 510, 695, 839, 909, 886, 775, 600, 402, 223, 100, 54, 87, 183, 314, 444, 542, 586, 568, 495, 385, 264, 155, 73, 23, 1, 0, 0, 4, 4, 1, 0, 0, 0, 0, 2, 3, 4, 4, 4, 4, 5, 5, 5, 4, 3, 2, 1, 0, 0, 0, 1, 3, 4, 4, 4, 3, 2, 1, 0, 0, 0, 1, 4, 6, 9, 10, 11, 10, 9, 8, 6, 5, 4, 4, 3, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 1, 1, 2, 3, 4, 5, 6, 6, 5, 5, 5, 6, 7, 9, 11, 12, 13, 12, 10, 7, 5, 2, 0, 0, 1, 3, 4, 3, 0, 0, 2, 21, 62, 125, 207, 295, 370, 415, 418, 375, 293, 192, 94, 28, 13, 61, 168, 315, 474, 611, 696, 711, 655, 542, 399, 256, 137, 55, 12, 0, 0, 3, 5, 3, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 4, 7, 10, 12, 13, 14, 13, 12, 11, 9, 8, 8, 8, 8, 9, 10, 12, 14, 14, 14, 11, 8, 7, 7, 10, 12, 9, 2, 0, 0, 34, 111, 237, 400, 574, 725, 817, 830, 758, 618, 442, 269, 137, 71, 82, 162, 291, 437, 566, 649, 669, 624, 525, 396, 262, 147, 65, 17, 0, 0, 1, 6, 7, 4, 0, 0, 0, 18, 62, 133, 229, 335, 434, 504, 530, 505, 437, 339, 233, 137, 65, 21, 1, 0, 0, 3, 3, 2, 2, 3, 6, 10, 13, 14, 14, 13, 12, 13, 13, 10, 4, 0, 0, 16, 65, 151, 267, 396, 513, 593, 618, 582, 495, 376, 252, 143, 64, 19, 0, 0, 0, 3, 4, 3, 3, 6, 10, 13, 15, 14, 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, 1, 3, 5, 7, 7, 7, 6, 4, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 2, 1, 0, 0, 2, 4, 7, 8, 5, 0, 0, 4, 31, 86, 168, 270, 375, 460, 505, 497, 436, 339, 233, 150, 120, 158, 264, 419, 590, 739, 831, 846, 781, 652, 487, 319, 177, 77, 20, 0, 0, 2, 5, 5, 5, 6, 11, 18, 23, 26, 23, 18, 12, 9, 8, 9, 8, 3, 0, 0, 22, 79, 178, 316, 476, 632, 750, 805, 782, 684, 533, 364, 216, 127, 117, 191, 332, 506, 673, 794, 842, 808, 700, 546, 377, 225, 109, 38, 4, 0, 0, 4, 4, 2, 0, 0, 0, 3, 7, 9, 9, 9, 8, 8, 9, 10, 11, 12, 12, 10, 9, 7, 5, 3, 2, 2, 3, 3, 4, 4, 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, 0, 0, 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, 8, 9, 9, 8, 6, 3, 2, 0, 0, 0, 1, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 8, 8, 8, 7, 5, 3, 2, 1, 0, 1, 2, 2, 3, 4, 4, 4, 4, 4, 3, 3, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 1, 0, 1, 1, 3, 4, 5, 7, 8, 8, 8, 7, 6, 4, 3, 3, 4, 6, 8, 10, 11, 12, 13, 12, 12, 10, 9, 7, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 7, 10, 11, 12, 11, 9, 6, 4, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 3, 5, 8, 11, 14, 16, 17, 17, 15, 12, 10, 7, 6, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 8, 9, 9, 9, 8, 7, 5, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 4, 3, 3, 2, 2, 2, 3, 3, 4, 4, 5, 6, 6, 7, 8, 9, 9, 9, 9, 8, 7, 7, 8, 9, 10, 11, 10, 7, 2, 0, 2, 20, 58, 120, 203, 298, 389, 456, 485, 467, 406, 319, 231, 171, 160, 210, 317, 460, 609, 730, 796, 792, 720, 594, 441, 290, 163, 73, 21, 0, 0, 1, 6, 8, 9, 9, 11, 13, 15, 15, 14, 12, 10, 8, 6, 6, 6, 5, 5, 4, 2, 1, 1, 1, 2, 4, 5, 7, 8, 9, 10, 11, 13, 14, 15, 14, 12, 10, 9, 9, 8, 5, 0, 0, 1, 26, 80, 164, 272, 389, 493, 564, 588, 559, 485, 382, 269, 165, 84, 32, 6, 0, 0, 2, 4, 5, 6, 7, 9, 12, 13, 13, 11, 9, 7, 5, 5, 5, 6, 6, 7, 7, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 5, 6, 5, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 4, 5, 5, 6, 6, 6, 7, 7, 8, 9, 10, 11, 10, 9, 8, 6, 4, 3, 1, 0, 0, 0, 1, 3, 5, 8, 10, 12, 13, 14, 14, 13, 11, 8, 6, 5, 6, 8, 8, 5, 0, 0, 2, 29, 85, 174, 289, 415, 529, 609, 638, 610, 530, 415, 290, 183, 115, 101, 143, 230, 343, 457, 548, 596, 592, 537, 444, 331, 219, 124, 56, 17, 0, 0, 0, 2, 2, 1, 0, 2, 4, 7, 9, 8, 6, 4, 2, 1, 2, 3, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 4, 6, 6, 4, 0, 0, 1, 21, 67, 142, 244, 360, 471, 556, 597, 584, 520, 420, 305, 203, 137, 124, 168, 260, 381, 504, 601, 652, 645, 582, 479, 359, 250, 176, 153, 183, 255, 349, 441, 507, 533, 512, 450, 361, 261, 167, 91, 40, 11, 0, 0, 0, 1, 0, 0, 0, 0, 1, 3, 4, 4, 3, 3, 3, 4, 6, 7, 7, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 3, 4, 5, 6, 7, 6, 5, 4, 3, 3, 3, 4, 5, 6, 7, 7, 7, 6, 5, 4, 3, 2, 2, 2, 3, 5, 6, 6, 7, 6, 5, 4, 3, 2, 1, 1, 1, 2, 3, 3, 4, 3, 3, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 4, 6, 7, 8, 8, 8, 8, 8, 7, 7, 7, 7, 8, 9, 10, 10, 9, 9, 8, 7, 7, 7, 8, 8, 7, 5, 3, 4, 11, 27, 55, 98, 151, 210, 265, 307, 327, 322, 292, 242, 183, 123, 72, 34, 11, 1, 0, 0, 1, 2, 2, 2, 2, 3, 4, 5, 5, 6, 7, 8, 8, 7, 4, 1, 0, 5, 20, 48, 88, 137, 186, 228, 254, 260, 244, 211, 168, 121, 78, 43, 18, 4, 0, 0, 2, 4, 2, 0, 0, 6, 39, 105, 206, 333, 469, 593, 682, 719, 697, 623, 509, 378, 250, 143, 66, 21, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 3, 4, 4, 5, 5, 5, 4, 3, 2, 1, 1, 2, 3, 5, 8, 10, 13, 15, 16, 16, 15, 14, 13, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 4, 4, 4, 5, 6, 7, 8, 9, 9, 9, 10, 11, 11, 12, 12, 10, 7, 4, 6, 15, 37, 74, 126, 189, 256, 317, 360, 378, 366, 328, 269, 201, 134, 77, 36, 12, 1, 0, 0, 0, 1, 1, 1, 2, 4, 6, 7, 8, 8, 7, 7, 7, 6, 5, 4, 5, 9, 21, 41, 71, 109, 152, 191, 220, 232, 222, 194, 154, 116, 97, 114, 176, 284, 428, 586, 730, 835, 877, 849, 756, 615, 453, 296, 166, 74, 22, 0, 0, 0, 3, 3, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 8, 9, 9, 8, 6, 5, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 8, 8, 7, 6, 5, 3, 2, 3, 4, 5, 7, 9, 11, 12, 12, 12, 11, 10, 9, 9, 9, 9, 10, 11, 12, 12, 12, 11, 10, 9, 8, 8, 8, 7, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 6, 9, 11, 13, 14, 13, 11, 8, 6, 5, 4, 2, 0, 0, 5, 27, 73, 144, 238, 345, 449, 532, 579, 582, 540, 461, 360, 253, 158, 83, 34, 8, 0, 0, 0, 1, 0, 0, 0, 1, 3, 6, 8, 8, 8, 8, 7, 7, 6, 6, 5, 4, 3, 3, 3, 3, 3, 4, 5, 6, 6, 7, 6, 6, 5, 4, 3, 3, 3, 2, 3, 3, 3, 4, 4, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 7, 8, 9, 8, 7, 6, 4, 3, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 3, 3, 3, 3, 3, 4, 5, 6, 6, 7, 6, 6, 5, 3, 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, 1, 2, 0, 0, 0, 10, 39, 93, 175, 279, 395, 506, 593, 640, 638, 589, 502, 395, 290, 208, 163, 160, 195, 257, 328, 391, 431, 439, 414, 361, 289, 211, 138, 79, 37, 13, 1, 0, 0, 0, 0, 0, 0, 0, 2, 3, 4, 4, 3, 2, 2, 2, 4, 5, 7, 8, 8, 8, 7, 6, 6, 5, 6, 7, 8, 9, 10, 10, 9, 8, 7, 5, 4, 3, 2, 3, 3, 5, 6, 7, 8, 9, 10, 10, 10, 9, 9, 8, 6, 5, 3, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 4, 5, 6, 7, 7, 7, 5, 2, 0, 0, 5, 20, 46, 85, 133, 187, 238, 280, 303, 305, 283, 243, 195, 153, 130, 137, 179, 253, 346, 441, 519, 566, 570, 531, 457, 361, 259, 166, 92, 41, 12, 0, 0, 0, 1, 1, 2, 3, 6, 10, 13, 16, 17, 16, 15, 12, 8, 4, 1, 1, 8, 27, 63, 117, 188, 269, 350, 417, 461, 471, 447, 393, 318, 235, 157, 92, 46, 17, 3, 0, 0, 1, 3, 5, 6, 8, 10, 11, 11, 10, 9, 8, 7, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 5, 5, 5, 6, 7, 8, 9, 9, 9, 8, 7, 5, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 6, 7, 8, 8, 8, 8, 7, 6, 4, 3, 1, 0, 0, 1, 2, 3, 4, 5, 5, 4, 3, 3, 3, 3, 4, 4, 5, 6, 6, 7, 7, 8, 8, 7, 6, 5, 5, 5, 5, 6, 7, 7, 8, 7, 7, 6, 6, 5, 5, 6, 7, 8, 9, 11, 13, 14, 14, 14, 13, 12, 11, 11, 11, 11, 10, 5, 0, 0, 4, 34, 93, 185, 303, 434, 559, 658, 713, 715, 666, 574, 456, 329, 212, 117, 52, 14, 0, 0, 0, 1, 0, 0, 1, 12, 37, 78, 133, 198, 264, 323, 362, 375, 360, 319, 263, 206, 165, 150, 169, 218, 285, 357, 414, 445, 440, 401, 335, 255, 173, 103, 51, 18, 3, 0, 0, 1, 2, 2, 1, 2, 5, 7, 9, 10, 9, 9, 8, 7, 7, 8, 8, 9, 9, 11, 12, 13, 12, 9, 5, 4, 12, 36, 81, 147, 232, 323, 410, 476, 511, 510, 472, 406, 321, 232, 150, 84, 38, 11, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 3, 3, 3, 3, 3, 4, 5, 5, 5, 5, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 3, 3, 4, 6, 7, 8, 9, 10, 11, 11, 11, 11, 10, 9, 8, 7, 7, 7, 6, 3, 0, 0, 2, 23, 68, 141, 242, 363, 489, 602, 685, 724, 712, 651, 552, 432, 307, 195, 106, 47, 14, 1, 0, 0, 0, 0, 4, 24, 67, 134, 224, 328, 431, 517, 573, 587, 558, 492, 405, 314, 237, 190, 178, 198, 239, 287, 327, 346, 339, 307, 255, 195, 134, 82, 42, 17, 3, 0, 0, 2, 4, 7, 10, 12, 14, 16, 17, 18, 19, 20, 20, 19, 15, 10, 3, 0, 0, 0, 8, 15, 14, 4, 0, 0, 22, 95, 204, 327, 429, 475, 450, 361, 238, 118, 32, 0, 2, 33, 66, 88, 93, 87, 78, 73, 73, 77, 81, 82, 80, 76, 72, 70, 69, 69, 68, 65, 62, 59, 57, 56, 56, 56, 55, 54, 51, 49, 46, 45, 43, 42, 41, 39, 37, 35, 32, 31, 29, 28, 26, 24, 22, 19, 17, 15, 13, 11, 8, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 5, 7, 8, 9, 10, 11, 13, 15, 18, 21, 24, 26, 28, 30, 33, 36, 39, 41, 44, 45, 45, 44, 41, 38, 33, 28, 23, 18, 15, 12, 10, 8, 6, 5, 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, 2, 3, 4, 4, 4],
"peakT": [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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 6, 8, 11, 14, 19, 25, 32, 41, 51, 64, 79, 96, 114, 135, 156, 179, 203, 227, 251, 274, 295, 312, 325, 333, 336, 335, 330, 321, 309, 293, 273, 249, 224, 196, 169, 143, 120, 98, 80, 64, 51, 41, 32, 26, 22, 20, 21, 24, 29, 36, 45, 57, 70, 86, 103, 123, 144, 166, 189, 211, 231, 249, 262, 270, 274, 272, 265, 254, 238, 219, 197, 174, 151, 128, 106, 87, 70, 56, 43, 33, 25, 19, 14, 12, 10, 10, 10, 10, 10, 9, 9, 8, 8, 8, 8, 8, 9, 9, 9, 9, 8, 7, 7, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 8, 10, 14, 20, 30, 44, 63, 86, 114, 145, 178, 213, 248, 282, 312, 338, 356, 367, 369, 365, 357, 347, 339, 336, 340, 352, 370, 395, 423, 451, 475, 492, 497, 489, 467, 433, 390, 341, 289, 238, 190, 146, 108, 75, 49, 29, 16, 8, 5, 4, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 7, 7, 8, 9, 9, 9, 8, 8, 7, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 5, 6, 7, 7, 7, 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, 1, 2, 2, 3, 2, 2, 2, 3, 3, 3, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 5, 16, 37, 70, 119, 183, 261, 348, 438, 521, 589, 634, 650, 640, 606, 559, 508, 466, 442, 442, 465, 506, 554, 599, 627, 632, 608, 557, 486, 402, 314, 230, 157, 98, 54, 25, 8, 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, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 9, 34, 79, 149, 244, 358, 482, 604, 709, 783, 818, 810, 764, 691, 609, 536, 487, 472, 490, 535, 593, 646, 679, 681, 648, 581, 489, 384, 279, 184, 108, 54, 21, 4, 0, 0, 2, 16, 45, 95, 168, 262, 371, 483, 582, 656, 693, 688, 644, 569, 482, 401, 344, 325, 348, 410, 498, 595, 680, 737, 755, 728, 659, 560, 443, 324, 217, 129, 66, 26, 6, 0, 0, 1, 4, 7, 10, 13, 15, 16, 16, 15, 14, 12, 10, 9, 8, 7, 6, 5, 5, 4, 4, 4, 4, 5, 6, 7, 8, 7, 5, 2, 1, 0, 1, 0, 0, 0, 0, 10, 37, 88, 167, 271, 391, 514, 623, 704, 743, 737, 685, 596, 481, 357, 238, 139, 66, 23, 3, 0, 0, 0, 0, 3, 25, 74, 156, 271, 410, 557, 692, 794, 848, 844, 784, 678, 546, 413, 303, 239, 233, 285, 386, 515, 648, 759, 825, 834, 784, 685, 552, 407, 271, 157, 75, 26, 3, 0, 0, 1, 0, 0, 0, 9, 37, 90, 166, 264, 372, 478, 567, 624, 642, 616, 550, 456, 347, 239, 146, 75, 30, 7, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 3, 5, 6, 7, 5, 3, 0, 0, 1, 2, 2, 0, 0, 1, 23, 74, 163, 291, 447, 613, 762, 870, 916, 890, 800, 665, 515, 383, 299, 280, 328, 429, 555, 676, 761, 790, 756, 669, 550, 431, 342, 304, 327, 406, 520, 640, 737, 787, 775, 704, 587, 445, 303, 181, 90, 34, 6, 0, 0, 1, 1, 0, 0, 0, 1, 5, 9, 12, 13, 13, 11, 10, 7, 5, 3, 2, 0, 0, 0, 0, 0, 1, 2, 4, 7, 9, 11, 10, 7, 4, 3, 3, 5, 5, 2, 0, 0, 15, 66, 161, 303, 481, 671, 843, 964, 1013, 979, 868, 703, 514, 332, 182, 79, 21, 0, 0, 1, 4, 3, 0, 0, 0, 0, 2, 5, 5, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 6, 7, 7, 7, 8, 10, 11, 11, 8, 3, 0, 0, 0, 3, 5, 4, 0, 0, 11, 59, 152, 294, 473, 662, 828, 939, 970, 914, 784, 610, 434, 297, 235, 267, 389, 578, 791, 980, 1101, 1126, 1049, 888, 681, 476, 317, 236, 246, 335, 472, 618, 733, 789, 773, 689, 558, 407, 262, 145, 64, 19, 1, 0, 1, 3, 2, 0, 0, 0, 2, 6, 10, 13, 14, 14, 14, 13, 12, 12, 11, 11, 9, 5, 1, 0, 0, 1, 4, 5, 1, 0, 0, 25, 89, 203, 364, 558, 753, 915, 1010, 1017, 934, 774, 571, 364, 195, 95, 85, 164, 316, 510, 705, 863, 951, 951, 864, 709, 516, 325, 176, 98, 106, 199, 356, 546, 730, 869, 937, 920, 824, 670, 490, 315, 172, 74, 19, 0, 0, 0, 3, 5, 4, 0, 0, 0, 7, 45, 118, 230, 373, 527, 665, 758, 786, 742, 636, 491, 335, 196, 92, 29, 1, 0, 0, 3, 3, 1, 0, 1, 5, 9, 11, 10, 7, 6, 7, 9, 8, 2, 0, 0, 33, 113, 249, 434, 642, 835, 971, 1019, 965, 822, 623, 414, 245, 153, 157, 251, 410, 593, 754, 855, 874, 808, 673, 501, 327, 180, 77, 20, 0, 0, 2, 5, 5, 2, 0, 0, 1, 1, 0, 0, 2, 5, 7, 5, 0, 0, 6, 51, 144, 287, 467, 657, 819, 918, 932, 856, 709, 523, 335, 178, 71, 14, 0, 0, 4, 8, 5, 0, 0, 0, 0, 4, 6, 7, 6, 4, 3, 2, 3, 4, 6, 7, 9, 11, 13, 14, 15, 15, 14, 12, 10, 8, 6, 4, 4, 4, 5, 7, 8, 9, 8, 6, 5, 4, 5, 7, 10, 11, 8, 3, 0, 0, 0, 7, 11, 7, 0, 0, 14, 83, 217, 414, 652, 886, 1067, 1150, 1113, 963, 735, 481, 261, 126, 105, 200, 387, 620, 841, 997, 1052, 994, 836, 617, 391, 209, 113, 121, 226, 397, 589, 753, 851, 860, 781, 636, 458, 286, 147, 55, 9, 0, 0, 5, 6, 3, 0, 0, 2, 9, 17, 22, 23, 21, 16, 12, 9, 8, 8, 10, 11, 11, 8, 3, 0, 0, 0, 4, 10, 11, 4, 0, 0, 31, 121, 274, 481, 708, 910, 1040, 1066, 982, 809, 588, 368, 187, 67, 8, 0, 0, 8, 11, 7, 1, 0, 0, 0, 2, 5, 6, 6, 6, 7, 8, 9, 9, 8, 7, 5, 3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 7, 9, 11, 11, 10, 9, 7, 7, 6, 4, 1, 0, 0, 0, 2, 8, 11, 6, 0, 0, 15, 84, 212, 395, 607, 807, 949, 999, 943, 796, 595, 384, 204, 80, 14, 0, 0, 6, 10, 7, 1, 0, 0, 1, 7, 12, 15, 16, 14, 12, 10, 8, 7, 5, 3, 2, 1, 0, 0, 0, 0, 0, 2, 4, 7, 10, 12, 14, 15, 16, 15, 13, 11, 9, 8, 9, 12, 14, 15, 12, 7, 2, 0, 2, 8, 12, 8, 0, 0, 5, 62, 176, 347, 551, 749, 896, 955, 911, 776, 584, 380, 203, 80, 14, 0, 0, 6, 11, 8, 2, 0, 0, 0, 2, 5, 6, 6, 5, 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, 1, 3, 5, 7, 9, 10, 11, 12, 12, 11, 9, 7, 5, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 8, 10, 10, 9, 8, 6, 5, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 5, 7, 8, 9, 11, 12, 11, 7, 2, 0, 0, 0, 6, 11, 10, 0, 0, 1, 51, 157, 322, 525, 728, 886, 958, 923, 787, 581, 352, 152, 23, 0, 62, 215, 414, 614, 769, 845, 826, 721, 558, 375, 211, 91, 22, 0, 0, 5, 10, 8, 3, 0, 0, 2, 8, 13, 16, 16, 13, 9, 6, 4, 6, 9, 13, 15, 14, 9, 5, 3, 6, 12, 14, 9, 0, 0, 11, 81, 215, 407, 628, 832, 971, 1007, 933, 767, 553, 339, 165, 54, 1, 0, 0, 10, 11, 6, 0, 0, 0, 7, 15, 20, 22, 21, 18, 14, 10, 7, 6, 5, 5, 6, 8, 10, 11, 12, 11, 9, 6, 3, 1, 0, 2, 4, 6, 7, 4, 0, 0, 0, 0, 8, 13, 11, 0, 0, 0, 54, 169, 344, 554, 758, 905, 956, 899, 749, 547, 340, 170, 58, 5, 0, 0, 3, 6, 5, 4, 2, 0, 0, 0, 13, 70, 175, 326, 499, 657, 761, 783, 717, 581, 410, 243, 113, 32, 0, 0, 2, 9, 9, 4, 0, 0, 0, 2, 5, 6, 5, 3, 2, 2, 4, 7, 10, 12, 14, 14, 13, 11, 9, 7, 6, 5, 5, 6, 7, 8, 10, 12, 13, 14, 14, 12, 10, 7, 4, 2, 1, 1, 2, 4, 6, 8, 8, 7, 5, 3, 1, 1, 4, 8, 11, 13, 12, 7, 4, 4, 8, 14, 15, 8, 0, 0, 20, 101, 247, 446, 666, 857, 969, 971, 857, 654, 411, 187, 35, 0, 59, 228, 454, 685, 864, 950, 926, 801, 611, 403, 219, 88, 14, 0, 0, 7, 18, 21, 13, 0, 0, 0, 43, 146, 306, 504, 704, 856, 923, 884, 751, 558, 353, 180, 64, 7, 0, 0, 6, 6, 1, 0, 0, 4, 6, 1, 0, 0, 39, 131, 279, 463, 647, 786, 842, 800, 671, 491, 304, 150, 48, 0, 0, 0, 10, 12, 7, 1, 0, 0, 2, 6, 8, 7, 6, 4, 3, 4, 5, 5, 6, 6, 7, 9, 11, 11, 8, 2, 0, 0, 0, 8, 15, 14, 2, 0, 0, 47, 163, 345, 569, 788, 948, 1006, 945, 784, 566, 345, 165, 50, 0, 0, 2, 12, 13, 7, 0, 0, 0, 3, 8, 11, 9, 6, 4, 3, 4, 7, 10, 13, 14, 13, 11, 9, 7, 5, 4, 4, 5, 6, 7, 9, 11, 12, 13, 14, 14, 13, 12, 11, 9, 8, 7, 5, 4, 2, 1, 0, 0, 0, 0, 2, 4, 6, 8, 9, 10, 10, 8, 6, 5, 3, 3, 3, 4, 5, 6, 7, 8, 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, 1, 1, 1, 1, 1, 0, 0, 0, 0, 3, 6, 10, 12, 13, 13, 11, 8, 5, 3, 3, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 2, 5, 5, 4, 0, 0, 0, 0, 8, 16, 17, 6, 0, 0, 35, 146, 330, 566, 807, 994, 1076, 1031, 871, 640, 398, 196, 63, 0, 0, 0, 12, 15, 8, 0, 0, 2, 11, 20, 25, 24, 20, 14, 10, 9, 9, 11, 13, 15, 17, 17, 18, 17, 16, 15, 12, 9, 6, 3, 2, 1, 2, 4, 4, 2, 0, 0, 0, 1, 8, 14, 12, 1, 0, 0, 45, 149, 308, 497, 674, 794, 823, 752, 602, 414, 235, 99, 21, 0, 0, 6, 13, 11, 4, 0, 0, 0, 2, 5, 7, 7, 5, 3, 2, 2, 3, 5, 6, 7, 8, 9, 9, 9, 8, 7, 6, 6, 7, 9, 11, 14, 16, 16, 16, 15, 13, 11, 9, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 9, 9, 8, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 8, 10, 11, 11, 9, 7, 5, 4, 4, 5, 7, 10, 12, 13, 11, 9, 7, 6, 6, 5, 3, 0, 0, 0, 4, 12, 16, 13, 1, 0, 0, 50, 159, 325, 521, 703, 824, 850, 773, 614, 419, 235, 96, 18, 0, 0, 7, 14, 12, 4, 0, 0, 0, 1, 4, 5, 4, 2, 2, 2, 3, 4, 5, 5, 4, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 3, 5, 7, 6, 3, 0, 0, 2, 11, 19, 17, 5, 0, 0, 38, 147, 324, 542, 755, 907, 955, 884, 717, 500, 288, 124, 27, 0, 0, 7, 16, 14, 6, 0, 0, 0, 1, 6, 10, 11, 12, 13, 14, 14, 14, 13, 12, 11, 12, 12, 12, 9, 4, 0, 0, 0, 4, 14, 17, 10, 0, 0, 17, 104, 261, 474, 701, 886, 979, 952, 814, 604, 377, 185, 58, 0, 0, 1, 14, 16, 10, 1, 0, 0, 2, 8, 11, 12, 10, 7, 6, 6, 7, 9, 10, 11, 12, 12, 12, 11, 10, 9, 7, 6, 5, 4, 4, 4, 5, 5, 5, 4, 4, 2, 1, 1, 3, 7, 12, 16, 17, 13, 6, 0, 0, 5, 14, 19, 13, 0, 0, 6, 81, 227, 434, 663, 860, 971, 964, 842, 639, 411, 211, 72, 3, 0, 0, 12, 17, 11, 2, 0, 0, 0, 4, 7, 7, 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, 2, 3, 4, 4, 3, 2, 1, 0, 0, 0, 1, 3, 6, 8, 9, 8, 7, 5, 2, 0, 0, 0, 1, 3, 5, 6, 7, 7, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 8, 10, 13, 14, 14, 11, 5, 0, 0, 0, 5, 14, 17, 9, 0, 0, 19, 107, 261, 466, 680, 849, 927, 891, 751, 549, 336, 161, 49, 0, 0, 0, 7, 5, 0, 0, 2, 7, 7, 0, 0, 9, 76, 206, 395, 608, 795, 905, 903, 785, 581, 344, 134, 2, 0, 69, 245, 463, 669, 810, 853, 790, 643, 452, 265, 119, 31, 0, 0, 5, 13, 12, 5, 0, 0, 0, 5, 12, 17, 19, 18, 16, 14, 12, 9, 7, 6, 5, 5, 6, 8, 9, 8, 7, 6, 5, 6, 6, 7, 5, 1, 0, 0, 3, 11, 17, 14, 3, 0, 0, 41, 145, 305, 499, 682, 808, 840, 769, 617, 424, 241, 101, 21, 0, 0, 7, 14, 11, 4, 0, 0, 0, 7, 14, 18, 17, 14, 10, 7, 5, 5, 4, 4, 4, 3, 3, 3, 3, 2, 0, 0, 0, 0, 3, 10, 12, 7, 0, 0, 8, 64, 168, 309, 460, 584, 647, 629, 538, 398, 248, 121, 37, 0, 0, 0, 9, 11, 6, 0, 0, 0, 3, 8, 11, 12, 12, 10, 8, 7, 7, 8, 9, 10, 10, 7, 2, 0, 0, 0, 8, 16, 17, 7, 0, 0, 28, 125, 286, 490, 694, 845, 900, 844, 693, 491, 291, 133, 37, 0, 0, 0, 3, 2, 0, 2, 6, 6, 0, 0, 0, 52, 164, 337, 544, 739, 868, 892, 801, 615, 384, 168, 21, 0, 50, 217, 437, 655, 815, 876, 823, 670, 455, 235, 62, 0, 12, 149, 357, 587, 780, 885, 875, 751, 545, 313, 113, 0, 0, 98, 285, 502, 692, 807, 818, 728, 565, 375, 202, 78, 12, 0, 0, 9, 14, 10, 2, 0, 0, 5, 12, 18, 20, 19, 17, 15, 13, 13, 13, 12, 12, 10, 9, 8, 7, 6, 5, 5, 6, 8, 11, 15, 16, 13, 7, 0, 0, 0, 8, 17, 19, 9, 0, 0, 28, 129, 300, 519, 741, 909, 975, 918, 751, 518, 276, 83, 0, 0, 108, 303, 530, 733, 861, 882, 793, 623, 417, 226, 88, 12, 0, 0, 10, 16, 12, 4, 0, 0, 5, 13, 18, 19, 16, 11, 8, 6, 7, 9, 12, 13, 12, 10, 7, 4, 1, 0, 0, 0, 1, 2, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 4, 3, 2, 1, 2, 3, 5, 7, 8, 7, 6, 4, 1, 0, 0, 1, 3, 5, 6, 7, 7, 7, 7, 8, 8, 9, 9, 8, 7, 5, 4, 4, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 2, 2, 2, 4, 7, 10, 12, 14, 15, 15, 14, 12, 10, 8, 7, 6, 7, 9, 12, 15, 18, 19, 20, 18, 15, 11, 8, 6, 6, 8, 11, 15, 18, 20, 20, 18, 15, 12, 10, 8, 7, 6, 6, 6, 6, 7, 7, 7, 7, 6, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 5, 5, 4, 4, 4, 6, 8, 11, 14, 16, 17, 15, 13, 10, 7, 5, 4, 5, 6, 9, 11, 14, 15, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 2, 2, 2, 1, 1, 0, 0, 1, 3, 5, 5, 3, 0, 0, 0, 8, 17, 20, 13, 0, 0, 7, 83, 227, 428, 648, 833, 934, 920, 797, 600, 384, 197, 69, 5, 0, 0, 3, 9, 10, 11, 10, 4, 0, 0, 9, 81, 219, 412, 626, 809, 910, 899, 779, 587, 373, 188, 62, 1, 0, 0, 12, 15, 9, 1, 0, 0, 6, 13, 17, 16, 12, 7, 3, 1, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 0, 0, 0, 1, 7, 12, 10, 1, 0, 0, 32, 112, 234, 378, 511, 595, 607, 542, 420, 276, 145, 51, 3, 0, 0, 8, 11, 7, 1, 0, 0, 3, 9, 13, 14, 11, 7, 3, 3, 4, 8, 12, 16, 19, 19, 19, 17, 15, 13, 11, 10, 8, 7, 5, 4, 4, 4, 3, 1, 0, 0, 0, 0, 6, 11, 10, 2, 0, 0, 27, 98, 208, 339, 459, 536, 547, 490, 382, 255, 138, 54, 7, 0, 0, 0, 9, 15, 16, 10, 0, 0, 0, 52, 167, 339, 541, 726, 844, 859, 768, 598, 396, 212, 81, 11, 0, 0, 2, 5, 4, 3, 4, 4, 0, 0, 0, 29, 115, 259, 444, 632, 772, 825, 770, 619, 412, 203, 45, 0, 15, 145, 332, 525, 675, 741, 710, 595, 430, 260, 122, 34, 0, 0, 4, 12, 13, 7, 0, 0, 0, 0, 4, 7, 7, 5, 1, 0, 0, 0, 4, 11, 13, 7, 0, 0, 11, 75, 187, 335, 490, 612, 667, 639, 538, 393, 242, 116, 33, 0, 0, 0, 14, 26, 26, 13, 0, 0, 11, 103, 273, 505, 757, 966, 1074, 1046, 886, 634, 357, 125, 0, 0, 107, 313, 551, 757, 879, 884, 771, 572, 339, 133, 6, 0, 76, 248, 455, 641, 759, 780, 703, 554, 374, 208, 85, 16, 0, 0, 8, 13, 10, 3, 0, 0, 0, 5, 8, 9, 7, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 8, 9, 9, 7, 5, 2, 0, 0, 0, 1, 3, 5, 6, 7, 7, 6, 6, 6, 6, 7, 8, 9, 9, 9, 8, 8, 7, 6, 5, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 4, 4, 4, 4, 3, 3, 4, 7, 10, 15, 18, 18, 14, 8, 2, 2, 7, 15, 19, 12, 0, 0, 4, 71, 201, 383, 584, 754, 846, 834, 720, 539, 340, 168, 53, 0, 0, 1, 13, 16, 9, 1, 0, 2, 12, 23, 29, 27, 19, 10, 5, 6, 13, 19, 15, 2, 0, 0, 51, 172, 355, 571, 772, 905, 930, 841, 664, 449, 247, 99, 16, 0, 0, 9, 16, 13, 4, 0, 0, 0, 5, 10, 12, 11, 8, 4, 2, 2, 2, 4, 6, 8, 10, 12, 12, 12, 11, 9, 8, 6, 5, 4, 5, 6, 7, 9, 10, 11, 10, 9, 8, 7, 8, 12, 16, 20, 21, 18, 10, 3, 1, 5, 13, 19, 16, 2, 0, 0, 57, 183, 372, 594, 797, 927, 945, 842, 643, 400, 173, 18, 0, 39, 209, 441, 678, 863, 948, 913, 766, 545, 307, 109, 0, 0, 91, 272, 488, 687, 818, 847, 766, 596, 381, 176, 30, 0, 38, 187, 390, 596, 752, 819, 782, 656, 476, 291, 139, 41, 0, 0, 3, 13, 16, 12, 8, 7, 13, 20, 27, 29, 28, 24, 20, 17, 17, 19, 20, 21, 20, 17, 13, 9, 5, 4, 3, 3, 3, 3, 2, 1, 0, 0, 1, 4, 7, 11, 13, 15, 16, 16, 17, 17, 18, 19, 19, 18, 17, 15, 13, 12, 11, 10, 9, 8, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 1, 0, 0, 0, 1, 7, 11, 10, 2, 0, 0, 33, 109, 223, 358, 483, 564, 576, 511, 383, 227, 85, 0, 0, 80, 243, 448, 643, 779, 818, 749, 587, 377, 173, 32, 0, 63, 229, 447, 658, 805, 848, 775, 604, 383, 171, 28, 0, 77, 261, 497, 721, 874, 914, 830, 644, 407, 182, 30, 0, 74, 255, 484, 699, 841, 877, 801, 639, 439, 249, 106, 24, 0, 0, 8, 15, 12, 5, 0, 1, 8, 18, 26, 31, 30, 26, 20, 15, 12, 10, 9, 10, 10, 10, 10, 9, 8, 6, 5, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 8, 7, 5, 4, 2, 1, 1, 2, 4, 5, 5, 4, 3, 1, 0, 0, 2, 4, 5, 5, 1, 0, 0, 1, 9, 16, 16, 6, 0, 0, 26, 113, 259, 443, 627, 763, 812, 760, 622, 437, 254, 111, 25, 0, 0, 6, 14, 12, 5, 0, 0, 0, 8, 16, 21, 22, 19, 14, 9, 5, 4, 5, 8, 13, 17, 21, 23, 24, 22, 20, 16, 13, 10, 8, 7, 7, 8, 8, 9, 9, 9, 8, 6, 4, 2, 2, 4, 9, 15, 20, 23, 20, 14, 8, 6, 10, 17, 20, 14, 0, 0, 1, 68, 202, 395, 613, 804, 916, 917, 807, 617, 400, 207, 73, 4, 0, 0, 12, 17, 11, 2, 0, 0, 0, 3, 7, 9, 9, 8, 7, 8, 9, 10, 10, 9, 9, 8, 7, 8, 8, 8, 8, 8, 7, 6, 5, 5, 5, 5, 4, 3, 2, 1, 0, 0, 1, 2, 2, 3, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 7, 8, 8, 8, 7, 7, 8, 9, 10, 11, 11, 10, 9, 6, 5, 4, 5, 8, 12, 16, 19, 21, 20, 18, 16, 12, 10, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 3, 3, 3, 3, 4, 3, 1, 0, 0, 0, 3, 8, 10, 6, 0, 0, 7, 57, 148, 273, 408, 522, 583, 574, 499, 378, 243, 126, 45, 4, 0, 0, 7, 10, 8, 3, 1, 3, 7, 11, 13, 13, 10, 6, 2, 0, 0, 0, 1, 2, 4, 5, 5, 5, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 4, 7, 9, 10, 9, 8, 6, 4, 2, 1, 1, 0, 1, 2, 3, 4, 6, 6, 6, 5, 4, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 7, 7, 6, 4, 2, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 4, 7, 11, 17, 21, 22, 19, 12, 6, 4, 8, 15, 18, 12, 0, 0, 4, 72, 204, 395, 609, 798, 910, 913, 807, 622, 408, 216, 80, 8, 0, 0, 10, 16, 11, 3, 0, 0, 0, 3, 6, 7, 5, 3, 2, 2, 3, 4, 4, 4, 4, 5, 6, 8, 8, 6, 2, 0, 0, 4, 10, 13, 9, 0, 0, 2, 50, 144, 280, 432, 565, 644, 645, 568, 435, 284, 148, 53, 4, 0, 0, 8, 11, 8, 1, 0, 0, 0, 4, 8, 11, 12, 12, 13, 13, 13, 13, 14, 16, 20, 25, 28, 27, 22, 15, 9, 9, 14, 20, 19, 7, 0, 0, 30, 133, 307, 529, 753, 922, 990, 936, 776, 557, 334, 154, 42, 0, 0, 4, 15, 14, 6, 0, 0, 1, 11, 22, 30, 33, 32, 29, 25, 21, 17, 15, 14, 15, 19, 24, 29, 31, 28, 22, 14, 10, 11, 17, 21, 16, 2, 0, 0, 53, 176, 364, 586, 793, 930, 958, 869, 691, 472, 266, 113, 25, 0, 0, 3, 9, 9, 7, 7, 6, 1, 0, 0, 20, 95, 227, 404, 594, 751, 830, 810, 697, 523, 333, 169, 57, 0, 0, 0, 11, 22, 23, 13, 0, 0, 0, 54, 170, 343, 547, 737, 865, 893, 814, 650, 446, 252, 105, 21, 0, 0, 7, 14, 12, 4, 0, 0, 0, 6, 11, 13, 11, 5, 0, 0, 0, 3, 8, 10, 6, 0, 0, 9, 57, 143, 259, 381, 481, 531, 516, 441, 328, 205, 101, 32, 0, 0, 0, 7, 9, 5, 0, 0, 0, 1, 6, 11, 13, 14, 14, 12, 11, 9, 8, 7, 6, 5, 5, 5, 6, 8, 9, 9, 9, 9, 8, 6, 5, 4, 3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 7, 10, 11, 10, 8, 4, 1, 0, 0, 2, 4, 4, 2, 0, 0, 0, 4, 12, 16, 11, 0, 0, 4, 67, 190, 364, 558, 726, 823, 820, 720, 551, 359, 190, 71, 10, 0, 0, 4, 7, 5, 4, 5, 5, 1, 0, 0, 25, 99, 225, 392, 565, 704, 767, 734, 610, 426, 229, 70, 0, 10, 123, 303, 502, 672, 768, 766, 667, 496, 297, 121, 11, 0, 76, 232, 421, 596, 711, 739, 676, 544, 379, 220, 98, 25, 0, 0, 4, 11, 10, 5, 0, 0, 0, 0, 4, 7, 8, 8, 7, 6, 4, 4, 5, 7, 8, 7, 3, 0, 0, 2, 9, 16, 16, 7, 0, 0, 26, 117, 268, 464, 663, 817, 883, 841, 705, 513, 313, 149, 44, 0, 0, 2, 12, 14, 8, 0, 0, 0, 0, 2, 3, 4, 4, 4, 6, 8, 9, 9, 8, 8, 9, 13, 17, 19, 18, 14, 10, 9, 13, 17, 18, 10, 0, 0, 15, 92, 231, 423, 632, 810, 908, 897, 775, 571, 338, 135, 11, 0, 84, 251, 448, 624, 733, 752, 680, 541, 374, 216, 96, 25, 0, 0, 6, 14, 15, 11, 8, 7, 9, 12, 14, 14, 12, 8, 5, 3, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 4, 9, 9, 3, 0, 0, 18, 77, 172, 293, 415, 506, 544, 517, 433, 317, 197, 97, 30, 0, 0, 0, 10, 20, 20, 9, 0, 0, 16, 98, 242, 439, 653, 834, 934, 920, 792, 580, 339, 132, 11, 4, 110, 295, 509, 695, 803, 806, 705, 527, 321, 140, 32, 24, 118, 287, 486, 662, 768, 776, 683, 516, 317, 139, 30, 18, 107, 271, 467, 642, 751, 766, 688, 542, 368, 207, 87, 19, 0, 0, 6, 11, 9, 3, 0, 0, 0, 1, 3, 3, 2, 1, 0, 1, 3, 5, 6, 7, 9, 12, 16, 20, 23, 22, 19, 15, 12, 14, 18, 20, 14, 1, 0, 0, 52, 168, 345, 557, 760, 902, 944, 874, 711, 502, 296, 135, 36, 0, 0, 0, 8, 10, 7, 4, 0, 0, 0, 1, 35, 107, 219, 359, 498, 600, 637, 593, 477, 319, 160, 44, 0, 41, 156, 313, 471, 586, 632, 598, 497, 360, 220, 106, 33, 0, 0, 1, 8, 9, 5, 0, 0, 0, 0, 1, 3, 3, 3, 3, 4, 5, 6, 5, 5, 3, 2, 1, 2, 3, 5, 8, 9, 10, 10, 9, 8, 7, 7, 6, 4, 1, 0, 0, 0, 4, 8, 10, 4, 0, 0, 14, 68, 163, 288, 419, 524, 575, 557, 477, 356, 225, 114, 39, 2, 0, 0, 6, 8, 5, 0, 0, 0, 0, 4, 5, 3, 0, 0, 0, 1, 6, 9, 6, 0, 0, 5, 48, 128, 241, 367, 478, 544, 549, 492, 388, 265, 151, 65, 15, 0, 0, 4, 9, 10, 7, 4, 2, 3, 5, 8, 10, 12, 13, 13, 13, 12, 10, 8, 6, 6, 6, 5, 3, 1, 0, 3, 8, 14, 14, 6, 0, 0, 22, 99, 232, 405, 584, 727, 794, 767, 654, 485, 305, 152, 50, 1, 0, 0, 9, 12, 8, 1, 0, 0, 0, 1, 3, 3, 3, 3, 4, 5, 6, 7, 8, 9, 10, 13, 15, 19, 21, 23, 23, 22, 21, 20, 19, 19, 20, 21, 23, 25, 26, 27, 26, 24, 21, 17, 14, 11, 9, 8, 8, 9, 9, 9, 8, 7, 5, 4, 5, 6, 10, 14, 19, 23, 25, 26, 24, 20, 16, 12, 8, 5, 3, 3, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 5, 7, 10, 14, 19, 23, 25, 24, 22, 18, 14, 11, 11, 12, 15, 19, 22, 24, 25, 24, 22, 19, 16, 14, 14, 14, 16, 18, 20, 23, 24, 25, 25, 25, 24, 22, 20, 17, 14, 10, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 6, 8, 11, 14, 18, 21, 22, 21, 19, 15, 11, 8, 7, 8, 12, 16, 20, 22, 23, 22, 20, 17, 13, 11, 9, 7, 7, 6, 6, 7, 7, 7, 6, 6, 5, 4, 3, 3, 3, 4, 5, 6, 8, 9, 9, 9, 7, 5, 3, 2, 0, 0, 0, 0, 0, 1, 2, 3, 5, 5, 6, 6, 5, 4, 1, 0, 0, 0, 1, 5, 8, 6, 0, 0, 0, 32, 98, 196, 312, 423, 500, 524, 489, 404, 291, 179, 87, 28, 0, 0, 1, 7, 8, 5, 1, 0, 0, 0, 3, 5, 6, 6, 5, 4, 4, 5, 7, 10, 13, 16, 19, 21, 22, 21, 19, 16, 14, 12, 12, 13, 17, 21, 26, 28, 28, 26, 24, 23, 24, 24, 18, 6, 0, 0, 27, 110, 247, 427, 615, 770, 852, 839, 737, 571, 383, 214, 90, 20, 0, 0, 6, 13, 13, 10, 8, 10, 16, 25, 33, 38, 39, 38, 34, 30, 26, 22, 20, 18, 17, 16, 15, 14, 12, 10, 8, 7, 6, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 1, 1, 1, 1, 2, 3, 4, 5, 4, 4, 3, 3, 3, 2, 2, 0, 0, 0, 3, 9, 13, 12, 4, 0, 0, 22, 88, 199, 343, 493, 616, 679, 667, 583, 450, 301, 167, 70, 16, 0, 0, 5, 9, 8, 3, 0, 0, 0, 1, 4, 6, 6, 5, 4, 3, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 7, 9, 11, 12, 11, 10, 8, 7, 7, 6, 5, 2, 0, 0, 0, 2, 6, 8, 5, 0, 0, 8, 51, 132, 247, 379, 500, 581, 601, 555, 456, 328, 202, 100, 34, 1, 0, 0, 3, 8, 9, 6, 0, 0, 0, 13, 60, 139, 247, 363, 464, 524, 527, 474, 378, 263, 155, 71, 18, 0, 0, 1, 12, 16, 12, 1, 0, 0, 37, 128, 270, 445, 620, 753, 812, 780, 667, 504, 329, 178, 73, 15, 0, 0, 1, 5, 8, 8, 8, 4, 0, 0, 4, 50, 143, 284, 454, 619, 740, 785, 742, 623, 459, 290, 148, 52, 5, 0, 0, 7, 9, 5, 0, 0, 0, 2, 6, 9, 10, 8, 7, 6, 5, 5, 4, 3, 1, 0, 0, 0, 1, 2, 3, 3, 3, 3, 2, 1, 1, 1, 1, 1, 2, 3, 4, 4, 5, 5, 6, 8, 11, 14, 17, 19, 20, 20, 18, 15, 12, 10, 9, 11, 14, 19, 23, 26, 28, 26, 23, 19, 14, 11, 9, 10, 12, 16, 20, 23, 25, 25, 23, 19, 15, 11, 7, 5, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 7, 8, 9, 9, 10, 10, 10, 11, 12, 15, 19, 24, 29, 33, 35, 34, 32, 27, 22, 17, 13, 10, 9, 9, 9, 10, 9, 8, 7, 5, 5, 5, 8, 12, 17, 21, 25, 27, 27, 24, 21, 17, 13, 10, 9, 9, 9, 7, 5, 3, 2, 5, 10, 13, 10, 1, 0, 0, 40, 128, 264, 430, 596, 722, 778, 749, 644, 490, 324, 178, 74, 16, 0, 0, 5, 9, 7, 2, 0, 0, 0, 2, 5, 6, 6, 5, 3, 3, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 7, 8, 10, 12, 13, 14, 15, 17, 18, 19, 19, 18, 15, 11, 8, 7, 9, 11, 10, 5, 0, 0, 10, 56, 139, 253, 380, 492, 563, 576, 528, 432, 313, 197, 102, 40, 7, 0, 0, 7, 13, 16, 13, 5, 0, 0, 13, 67, 163, 296, 446, 580, 668, 687, 631, 516, 371, 227, 111, 36, 2, 0, 0, 6, 7, 3, 0, 0, 0, 2, 6, 9, 9, 6, 3, 1, 1, 4, 8, 9, 6, 0, 0, 4, 39, 106, 203, 315, 420, 492, 515, 480, 399, 291, 182, 91, 32, 3, 0, 0, 4, 5, 3, 0, 0, 2, 7, 14, 19, 23, 24, 23, 22, 20, 18, 16, 17, 18, 22, 27, 32, 36, 39, 38, 35, 31, 26, 23, 23, 25, 29, 34, 37, 40, 39, 37, 32, 27, 23, 18, 15, 13, 12, 11, 10, 9, 8, 7, 6, 5, 6, 6, 8, 10, 12, 16, 19, 23, 26, 29, 29, 28, 26, 23, 20, 17, 15, 13, 12, 10, 7, 3, 1, 0, 3, 7, 9, 7, 0, 0, 1, 36, 106, 212, 338, 462, 554, 593, 570, 492, 379, 257, 148, 68, 21, 1, 0, 5, 11, 14, 15, 16, 17, 21, 25, 30, 33, 34, 33, 30, 25, 20, 15, 11, 8, 7, 6, 6, 6, 5, 5, 5, 6, 8, 12, 18, 23, 29, 33, 34, 33, 31, 26, 22, 18, 16, 16, 18, 21, 25, 28, 29, 29, 27, 24, 20, 17, 13, 11, 8, 6, 4, 3, 2, 1, 2, 3, 5, 6, 6, 6, 4, 3, 1, 0, 1, 3, 5, 8, 11, 13, 14, 14, 13, 11, 8, 6, 3, 2, 2, 3, 5, 8, 10, 10, 9, 7, 4, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 6, 8, 10, 13, 15, 17, 17, 16, 14, 12, 10, 8, 7, 6, 6, 5, 5, 5, 5, 6, 7, 7, 7, 6, 6, 5, 5, 3, 2, 0, 0, 0, 0, 3, 5, 5, 0, 0, 0, 22, 71, 150, 250, 354, 437, 482, 476, 421, 332, 229, 134, 61, 18, 0, 0, 1, 4, 4, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 4, 6, 10, 14, 18, 20, 21, 20, 17, 13, 10, 8, 7, 7, 6, 5, 5, 7, 11, 15, 14, 7, 0, 0, 13, 72, 180, 331, 504, 665, 776, 812, 762, 641, 478, 308, 165, 66, 13, 0, 0, 4, 7, 5, 2, 1, 5, 14, 23, 31, 33, 32, 28, 25, 23, 21, 16, 7, 0, 0, 17, 79, 186, 334, 498, 648, 747, 773, 718, 597, 439, 279, 145, 55, 9, 0, 0, 5, 7, 4, 1, 0, 3, 11, 20, 28, 33, 35, 34, 31, 27, 22, 17, 13, 9, 6, 3, 2, 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, 10, 13, 14, 15, 14, 13, 12, 12, 13, 14, 17, 21, 25, 28, 29, 28, 24, 19, 14, 11, 10, 13, 19, 26, 32, 34, 33, 29, 25, 22, 20, 15, 7, 0, 0, 14, 72, 176, 322, 490, 647, 759, 799, 758, 646, 491, 326, 182, 79, 20, 0, 0, 2, 6, 5, 1, 0, 0, 0, 1, 2, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 7, 9, 10, 10, 10, 10, 9, 7, 5, 2, 0, 0, 2, 5, 6, 4, 0, 0, 11, 53, 128, 234, 357, 472, 554, 581, 545, 456, 338, 223, 146, 127, 174, 275, 402, 522, 603, 623, 580, 484, 358, 230, 123, 49, 10, 0, 0, 3, 5, 4, 0, 0, 0, 2, 6, 8, 10, 11, 13, 15, 15, 11, 3, 0, 0, 30, 99, 210, 354, 507, 637, 715, 720, 650, 521, 365, 221, 125, 98, 145, 251, 388, 520, 613, 646, 611, 521, 396, 263, 149, 66, 18, 0, 0, 1, 4, 4, 4, 6, 11, 20, 30, 37, 41, 40, 37, 31, 25, 19, 14, 10, 7, 5, 4, 4, 4, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 1, 2, 4, 5, 7, 8, 8, 8, 6, 5, 3, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 5, 7, 5, 0, 0, 4, 40, 112, 221, 357, 497, 613, 679, 680, 615, 501, 361, 226, 116, 43, 6, 0, 0, 4, 5, 3, 0, 0, 0, 0, 3, 5, 4, 2, 0, 0, 0, 2, 4, 4, 0, 0, 0, 18, 59, 124, 209, 298, 373, 417, 421, 383, 313, 227, 143, 74, 28, 5, 0, 0, 2, 2, 1, 0, 0, 4, 10, 18, 24, 27, 26, 24, 19, 15, 11, 7, 5, 3, 2, 1, 0, 0, 1, 2, 4, 6, 9, 12, 16, 20, 23, 24, 24, 23, 21, 19, 17, 14, 8, 0, 0, 4, 38, 110, 222, 366, 520, 656, 744, 762, 705, 584, 427, 271, 153, 100, 124, 216, 354, 502, 624, 693, 693, 627, 511, 371, 235, 124, 50, 11, 0, 0, 2, 4, 3, 3, 7, 14, 25, 35, 43, 47, 47, 44, 40, 36, 32, 29, 26, 23, 20, 17, 15, 12, 10, 9, 8, 9, 11, 14, 19, 24, 29, 32, 34, 35, 33, 29, 25, 21, 17, 16, 16, 19, 23, 27, 30, 31, 30, 27, 23, 18, 14, 11, 11, 13, 18, 23, 29, 33, 34, 33, 30, 24, 19, 15, 13, 14, 18, 23, 28, 30, 29, 27, 24, 21, 18, 14, 6, 0, 0, 12, 62, 156, 291, 452, 610, 734, 796, 784, 702, 571, 417, 270, 151, 69, 22, 3, 0, 4, 9, 11, 8, 1, 0, 0, 22, 79, 175, 304, 451, 589, 691, 734, 712, 629, 505, 364, 233, 128, 57, 17, 1, 0, 1, 4, 5, 6, 9, 14, 22, 29, 34, 37, 37, 34, 29, 23, 17, 12, 8, 4, 2, 1, 0, 0, 0, 0, 0, 2, 5, 9, 14, 19, 23, 25, 25, 23, 20, 15, 12, 9, 9, 12, 16, 20, 24, 26, 25, 22, 18, 12, 7, 3, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 3, 3, 3, 2, 2, 1, 2, 3, 4, 5, 5, 4, 3, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 3, 4, 5, 6, 8, 11, 14, 16, 15, 11, 4, 0, 0, 19, 67, 148, 257, 380, 497, 585, 625, 611, 546, 445, 329, 218, 127, 63, 26, 9, 5, 7, 10, 10, 6, 0, 0, 2, 32, 94, 190, 314, 449, 569, 652, 679, 645, 557, 435, 301, 181, 89, 31, 4, 0, 0, 3, 3, 2, 0, 0, 0, 0, 1, 2, 2, 2, 3, 4, 6, 7, 10, 13, 17, 22, 28, 33, 36, 38, 37, 34, 30, 22, 13, 2, 0, 1, 31, 93, 190, 315, 450, 571, 654, 682, 649, 561, 439, 306, 185, 92, 33, 5, 0, 0, 2, 3, 3, 5, 9, 16, 25, 33, 39, 41, 40, 36, 31, 25, 20, 17, 14, 13, 11, 10, 9, 9, 9, 9, 8, 3, 0, 0, 14, 58, 138, 250, 381, 511, 613, 667, 661, 597, 489, 361, 234, 128, 54, 12, 0, 0, 3, 8, 7, 2, 0, 0, 16, 66, 149, 262, 389, 509, 597, 636, 617, 544, 435, 310, 193, 100, 38, 7, 0, 0, 2, 3, 2, 0, 0, 0, 0, 3, 4, 4, 3, 1, 0, 0, 0, 0, 0, 1, 1, 2, 4, 5, 7, 8, 9, 10, 11, 9, 5, 0, 0, 9, 43, 108, 206, 329, 459, 575, 651, 672, 631, 538, 414, 289, 191, 141, 149, 210, 303, 404, 486, 526, 515, 456, 366, 269, 190, 151, 164, 225, 320, 426, 517, 569, 572, 523, 433, 323, 212, 119, 52, 15, 0, 0, 1, 3, 2, 0, 0, 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, 0, 3, 6, 10, 14, 17, 18, 17, 15, 11, 8, 5, 2, 1, 1, 1, 1, 1, 2, 3, 4, 7, 11, 16, 21, 25, 27, 28, 28, 26, 23, 19, 16, 14, 13, 13, 14, 17, 20, 23, 24, 24, 22, 19, 15, 10, 7, 4, 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, 1, 3, 4, 4, 4, 3, 2, 1, 0, 0, 1, 2, 3, 3, 3, 3, 3, 5, 8, 12, 17, 21, 24, 25, 24, 22, 19, 16, 13, 11, 9, 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, 1, 3, 4, 5, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 7, 10, 13, 15, 15, 13, 10, 7, 3, 1, 0, 0, 0, 0, 1, 1, 2, 2, 3, 4, 5, 6, 7, 7, 7, 6, 4, 2, 1, 2, 3, 2, 0, 0, 0, 9, 36, 83, 149, 227, 306, 371, 409, 414, 385, 329, 255, 178, 109, 55, 20, 2, 0, 0, 2, 4, 2, 0, 0, 2, 22, 61, 121, 196, 278, 352, 405, 427, 414, 369, 300, 220, 143, 79, 34, 9, 0, 0, 0, 3, 6, 9, 13, 19, 26, 31, 34, 34, 31, 27, 21, 16, 11, 7, 5, 4, 3, 3, 3, 3, 2, 2, 2, 4, 7, 12, 17, 23, 28, 32, 33, 33, 31, 27, 23, 18, 14, 11, 8, 6, 5, 4, 3, 3, 3, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 9, 11, 13, 14, 14, 12, 10, 8, 5, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 4, 3, 3, 2, 2, 1, 1, 2, 2, 3, 3, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 5, 9, 13, 17, 21, 23, 24, 24, 23, 20, 16, 10, 3, 0, 0, 19, 64, 138, 241, 361, 483, 587, 654, 673, 640, 562, 454, 334, 220, 126, 59, 19, 2, 0, 0, 1, 3, 5, 8, 14, 20, 27, 31, 33, 31, 28, 23, 18, 14, 10, 7, 5, 4, 4, 4, 3, 3, 2, 1, 0, 0, 0, 0, 0, 1, 2, 3, 4, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 5, 4, 2, 0, 0, 6, 31, 80, 154, 250, 353, 449, 519, 552, 542, 492, 412, 318, 226, 146, 87, 48, 27, 17, 14, 11, 7, 2, 0, 0, 13, 45, 99, 175, 269, 367, 457, 521, 548, 532, 477, 392, 293, 197, 115, 56, 20, 3, 0, 0, 1, 0, 0, 0, 0, 4, 10, 16, 21, 24, 25, 24, 22, 19, 16, 14, 12, 10, 9, 8, 8, 8, 8, 7, 7, 6, 4, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 8, 10, 13, 17, 21, 26, 30, 33, 35, 35, 32, 26, 17, 7, 0, 2, 20, 61, 129, 223, 334, 447, 546, 613, 635, 608, 537, 436, 321, 212, 121, 56, 18, 2, 0, 1, 1, 0, 0, 6, 37, 98, 191, 310, 443, 567, 663, 713, 709, 653, 556, 437, 313, 203, 117, 58, 24, 8, 4, 4, 5, 6, 6, 7, 8, 10, 13, 15, 16, 15, 13, 10, 4, 0, 0, 10, 36, 85, 157, 247, 346, 437, 506, 538, 529, 480, 404, 319, 246, 204, 202, 244, 320, 414, 504, 571, 599, 580, 521, 433, 339, 261, 217, 216, 257, 329, 412, 485, 531, 539, 506, 439, 349, 253, 164, 92, 43, 14, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 7, 10, 13, 15, 16, 14, 12, 10, 9, 9, 11, 15, 20, 26, 31, 35, 37, 36, 33, 28, 21, 15, 9, 4, 2, 1, 1, 2, 2, 2, 2, 2, 3, 5, 9, 15, 21, 26, 28, 29, 27, 24, 20, 16, 13, 10, 8, 7, 5, 4, 3, 2, 1, 1, 2, 3, 6, 9, 13, 17, 21, 24, 25, 26, 24, 22, 19, 15, 12, 10, 8, 7, 7, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 3, 3, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 8, 9, 9, 8, 7, 5, 3, 2, 1, 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, 1, 3, 5, 8, 10, 11, 13, 15, 18, 21, 25, 28, 31, 31, 29, 26, 22, 19, 18, 19, 22, 26, 30, 33, 34, 32, 28, 20, 11, 3, 0, 10, 38, 91, 169, 269, 379, 485, 569, 616, 619, 576, 496, 394, 286, 188, 109, 55, 23, 9, 5, 7, 10, 12, 14, 16, 19, 23, 26, 30, 31, 31, 29, 26, 22, 18, 14, 11, 9, 7, 6, 6, 6, 6, 5, 4, 3, 2, 0, 0, 0, 0, 1, 2, 3, 4, 4, 3, 2, 1, 0, 0, 1, 2, 4, 5, 7, 8, 9, 10, 9, 9, 9, 9, 10, 12, 14, 16, 16, 13, 9, 3, 1, 7, 28, 69, 134, 218, 316, 412, 492, 542, 552, 519, 450, 357, 256, 163, 89, 39, 11, 0, 0, 0, 0, 0, 1, 3, 7, 13, 20, 26, 30, 32, 33, 31, 29, 25, 21, 16, 11, 8, 5, 3, 3, 3, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 1, 2, 3, 2, 0, 0, 1, 16, 47, 96, 160, 233, 301, 353, 379, 374, 341, 290, 234, 190, 171, 184, 231, 302, 383, 455, 502, 512, 481, 415, 326, 231, 143, 75, 30, 6, 0, 0, 1, 3, 2, 1, 0, 0, 0, 0, 3, 5, 6, 4, 0, 0, 3, 26, 71, 137, 216, 294, 356, 389, 389, 359, 308, 248, 188, 138, 98, 69, 48, 32, 19, 10, 2, 0, 0, 6, 23, 55, 104, 172, 256, 348, 438, 512, 559, 569, 542, 481, 398, 306, 218, 144, 90, 54, 33, 23, 19, 17, 17, 16, 15, 13, 12, 11, 11, 11, 12, 11, 10, 6, 1, 0, 3, 18, 51, 103, 173, 257, 343, 421, 478, 504, 494, 450, 379, 293, 204, 125, 64, 24, 4, 0, 0, 1, 0, 0, 0, 9, 34, 78, 140, 216, 295, 367, 420, 445, 437, 398, 335, 258, 180, 111, 58, 23, 5, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 3, 4, 5, 5, 4, 4, 5, 5, 7, 8, 10, 13, 15, 16, 16, 15, 14, 14, 15, 17, 17, 15, 9, 4, 8, 29, 75, 149, 241, 336, 413, 452, 442, 386, 297, 198, 108, 43, 7, 0, 0, 8, 14, 16, 15, 13, 12, 12, 13, 13, 14, 13, 13, 12, 11, 9, 8, 7, 6, 5, 4, 4, 4, 3, 3, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 4, 4, 3, 3, 4, 5, 6, 8, 10, 11, 13, 15, 16, 17, 18, 19, 19, 19, 19, 21, 23, 26, 31, 36, 40, 45, 49, 53, 57, 61, 67, 73, 81, 90, 100, 111, 122, 133, 143, 153, 162, 171, 180, 190, 201, 212, 222, 231, 240, 247, 252, 254, 253, 248, 238, 225, 209, 192, 176, 163, 154, 151, 153, 161, 175, 193, 216, 241, 269, 300, 333, 369, 408, 448, 490, 531, 569, 601, 625, 640, 647, 648, 647, 648, 656, 671, 692, 716, 734, 742, 732, 704, 655, 589, 511, 427, 342, 262, 192, 135, 92, 64, 47, 39, 36, 36, 35, 34, 32, 29, 26, 24, 21, 19, 17, 16, 15, 14, 13, 12, 10, 8, 7, 5, 5, 5, 5, 5, 5, 4, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0],
"basecallPos": [461, 474, 482, 493, 505, 519, 531, 543, 558, 571, 583, 593, 606, 620, 630, 643, 655, 669, 682, 692, 701, 713, 726, 740, 756, 767, 777, 790, 802, 813, 824, 836, 850, 863, 877, 889, 903, 916, 929, 938, 951, 961, 972, 985, 998, 1011, 1022, 1033, 1045, 1056, 1069, 1082, 1094, 1104, 1115, 1129, 1141, 1156, 1167, 1182, 1192, 1204, 1215, 1227, 1239, 1249, 1261, 1273, 1286, 1300, 1314, 1327, 1338, 1349, 1361, 1374, 1387, 1400, 1413, 1425, 1436, 1447, 1459, 1471, 1482, 1493, 1506, 1519, 1531, 1544, 1555, 1566, 1578, 1589, 1601, 1613, 1626, 1638, 1650, 1661, 1675, 1687, 1699, 1710, 1723, 1736, 1748, 1759, 1772, 1782, 1794, 1807, 1818, 1830, 1844, 1857, 1870, 1882, 1895, 1907, 1919, 1929, 1941, 1955, 1966, 1979, 1991, 2003, 2015, 2029, 2040, 2053, 2065, 2076, 2086, 2098, 2111, 2124, 2137, 2147, 2160, 2173, 2183, 2195, 2207, 2218, 2229, 2241, 2252, 2264, 2277, 2290, 2303, 2315, 2326, 2338, 2349, 2361, 2374, 2387, 2399, 2412, 2424, 2434, 2445, 2456, 2468, 2480, 2492, 2505, 2517, 2529, 2540, 2551, 2563, 2575, 2588, 2600, 2612, 2625, 2635, 2646, 2657, 2668, 2681, 2694, 2705, 2717, 2729, 2742, 2755, 2767, 2778, 2789, 2801, 2813, 2826, 2838, 2850, 2860, 2872, 2885, 2898, 2909, 2922, 2935, 2948, 2958, 2970, 2982, 2994, 3006, 3020, 3032, 3043, 3053, 3065, 3078, 3091, 3102, 3114, 3126, 3138, 3150, 3163, 3176, 3187, 3198, 3209, 3222, 3234, 3246, 3259, 3270, 3282, 3293, 3306, 3318, 3330, 3342, 3354, 3365, 3378, 3390, 3400, 3412, 3423, 3435, 3448, 3460, 3473, 3485, 3496, 3507, 3520, 3532, 3544, 3555, 3568, 3581, 3593, 3605, 3617, 3629, 3640, 3652, 3662, 3674, 3686, 3698, 3709, 3720, 3732, 3744, 3755, 3768, 3781, 3792, 3806, 3818, 3830, 3843, 3855, 3866, 3878, 3889, 3901, 3914, 3927, 3939, 3952, 3964, 3976, 3987, 4000, 4012, 4023, 4036, 4047, 4059, 4072, 4085, 4096, 4109, 4120, 4132, 4144, 4156, 4168, 4181, 4193, 4205, 4216, 4228, 4240, 4252, 4264, 4276, 4288, 4299, 4311, 4323, 4335, 4346, 4359, 4371, 4383, 4396, 4407, 4418, 4430, 4441, 4454, 4466, 4477, 4489, 4502, 4514, 4526, 4539, 4551, 4562, 4573, 4586, 4598, 4610, 4622, 4635, 4646, 4659, 4671, 4683, 4695, 4706, 4718, 4730, 4743, 4754, 4766, 4778, 4790, 4802, 4813, 4824, 4836, 4849, 4862, 4873, 4885, 4896, 4908, 4919, 4931, 4944, 4956, 4968, 4981, 4994, 5005, 5018, 5028, 5040, 5052, 5064, 5077, 5089, 5100, 5111, 5123, 5136, 5149, 5161, 5171, 5183, 5195, 5207, 5218, 5230, 5241, 5254, 5267, 5279, 5291, 5303, 5315, 5326, 5337, 5349, 5362, 5373, 5385, 5397, 5409, 5421, 5433, 5445, 5456, 5468, 5480, 5492, 5503, 5515, 5526, 5538, 5551, 5562, 5575, 5588, 5599, 5612, 5624, 5636, 5648, 5661, 5673, 5685, 5697, 5709, 5720, 5733, 5745, 5757, 5770, 5782, 5794, 5804, 5816, 5828, 5840, 5853, 5865, 5877, 5890, 5902, 5913, 5925, 5937, 5949, 5962, 5974, 5986, 5997, 6009, 6020, 6033, 6044, 6056, 6069, 6082, 6094, 6107, 6119, 6131, 6143, 6156, 6169, 6180, 6192, 6204, 6216, 6228, 6239, 6251, 6262, 6274, 6285, 6297, 6309, 6322, 6335, 6346, 6358, 6371, 6383, 6395, 6406, 6417, 6429, 6442, 6454, 6466, 6478, 6489, 6501, 6514, 6526, 6539, 6551, 6564, 6576, 6588, 6600, 6610, 6622, 6634, 6645, 6657, 6669, 6681, 6695, 6705, 6718, 6730, 6743, 6755, 6767, 6779, 6790, 6802, 6813, 6825, 6837, 6849, 6862, 6875, 6888, 6899, 6911, 6924, 6936, 6949, 6962, 6974, 6985, 6996, 7009, 7020, 7032, 7044, 7056, 7068, 7079, 7091, 7104, 7116, 7128, 7140, 7153, 7165, 7177, 7189, 7201, 7212, 7224, 7236, 7247, 7260, 7273, 7285, 7297, 7310, 7322, 7335, 7347, 7358, 7369, 7381, 7394, 7406, 7417, 7430, 7442, 7456, 7467, 7479, 7490, 7502, 7515, 7526, 7538, 7551, 7563, 7574, 7587, 7600, 7612, 7626, 7637, 7650, 7661, 7672, 7683, 7695, 7707, 7720, 7733, 7746, 7758, 7770, 7782, 7793, 7805, 7818, 7830, 7842, 7853, 7865, 7877, 7889, 7900, 7913, 7924, 7937, 7949, 7959, 7972, 7983, 7994, 8004, 8018, 8030],
"basecalls": {"461":"1:T", "474":"2:C", "482":"3:A", "493":"4:C", "505":"5:C", "519":"6:T", "531":"7:A", "543":"8:T", "558":"9:T", "571":"10:C", "583":"11:T", "593":"12:A", "606":"13:G", "620":"14:A", "630":"15:T", "643":"16:T", "655":"17:T", "669":"18:G", "682":"19:A", "692":"20:C", "701":"21:A", "713":"22:T", "726":"23:G", "740":"24:G", "756":"25:A", "767":"26:A", "777":"27:T", "790":"28:T", "802":"29:T", "813":"30:A", "824":"31:C", "836":"32:C", "850":"33:T", "863":"34:T", "877":"35:T", "889":"36:G", "903":"37:T", "916":"38:G", "929":"39:A", "938":"40:T", "951":"41:T", "961":"42:A", "972":"43:C", "985":"44:T", "998":"45:G", "1011":"46:C", "1022":"47:A", "1033":"48:A", "1045":"49:A", "1056":"50:T", "1069":"51:T", "1082":"52:T", "1094":"53:C", "1104":"54:A", "1115":"55:C", "1129":"56:T", "1141":"57:G", "1156":"58:A", "1167":"59:G", "1182":"60:A", "1192":"61:C", "1204":"62:T", "1215":"63:A", "1227":"64:A", "1239":"65:C", "1249":"66:A", "1261":"67:A", "1273":"68:T", "1286":"69:G", "1300":"70:G", "1314":"71:G", "1327":"72:C", "1338":"73:A", "1349":"74:C", "1361":"75:G", "1374":"76:C", "1387":"77:C", "1400":"78:T", "1413":"79:T", "1425":"80:A", "1436":"81:A", "1447":"82:A", "1459":"83:T", "1471":"84:C", "1482":"85:A", "1493":"86:A", "1506":"87:G", "1519":"88:T", "1531":"89:G", "1544":"90:T", "1555":"91:A", "1566":"92:C", "1578":"93:C", "1589":"94:A", "1601":"95:A", "1613":"96:A", "1626":"97:T", "1638":"98:T", "1650":"99:A", "1661":"100:T", "1675":"101:G", "1687":"102:T", "1699":"103:A", "1710":"104:C", "1723":"105:G", "1736":"106:T", "1748":"107:A", "1759":"108:C", "1772":"109:C", "1782":"110:A", "1794":"111:C", "1807":"112:C", "1818":"113:A", "1830":"114:G", "1844":"115:G", "1857":"116:C", "1870":"117:G", "1882":"118:C", "1895":"119:T", "1907":"120:C", "1919":"121:C", "1929":"122:A", "1941":"123:G", "1955":"124:T", "1966":"125:G", "1979":"126:C", "1991":"127:C", "2003":"128:C", "2015":"129:G", "2029":"130:A", "2040":"131:G", "2053":"132:A", "2065":"133:A", "2076":"134:A", "2086":"135:T", "2098":"136:G", "2111":"137:G", "2124":"138:G", "2137":"139:A", "2147":"140:T", "2160":"141:G", "2173":"142:A", "2183":"143:C", "2195":"144:T", "2207":"145:A", "2218":"146:C", "2229":"147:A", "2241":"148:C", "2252":"149:A", "2264":"150:T", "2277":"151:G", "2290":"152:G", "2303":"153:C", "2315":"154:A", "2326":"155:A", "2338":"156:A", "2349":"157:C", "2361":"158:C", "2374":"159:T", "2387":"160:C", "2399":"161:T", "2412":"162:T", "2424":"163:C", "2434":"164:A", "2445":"165:A", "2456":"166:A", "2468":"167:T", "2480":"168:C", "2492":"169:C", "2505":"170:G", "2517":"171:T", "2529":"172:C", "2540":"173:A", "2551":"174:A", "2563":"175:T", "2575":"176:C", "2588":"177:T", "2600":"178:T", "2612":"179:T", "2625":"180:T", "2635":"181:A", "2646":"182:C", "2657":"183:A", "2668":"184:C", "2681":"185:T", "2694":"186:T", "2705":"187:A", "2717":"188:C", "2729":"189:G", "2742":"190:G", "2755":"191:A", "2767":"192:A", "2778":"193:C", "2789":"194:A", "2801":"195:G", "2813":"196:C", "2826":"197:C", "2838":"198:C", "2850":"199:C", "2860":"200:A", "2872":"201:G", "2885":"202:C", "2898":"203:C", "2909":"204:C", "2922":"205:G", "2935":"206:G", "2948":"207:A", "2958":"208:T", "2970":"209:C", "2982":"210:T", "2994":"211:C", "3006":"212:G", "3020":"213:G", "3032":"214:T", "3043":"215:A", "3053":"216:C", "3065":"217:C", "3078":"218:G", "3091":"219:T", "3102":"220:A", "3114":"221:T", "3126":"222:G", "3138":"223:T", "3150":"224:T", "3163":"225:G", "3176":"226:G", "3187":"227:T", "3198":"228:A", "3209":"229:T", "3222":"230:T", "3234":"231:T", "3246":"232:C", "3259":"233:G", "3270":"234:A", "3282":"235:A", "3293":"236:C", "3306":"237:G", "3318":"238:C", "3330":"239:C", "3342":"240:T", "3354":"241:A", "3365":"242:C", "3378":"243:T", "3390":"244:C", "3400":"245:A", "3412":"246:C", "3423":"247:A", "3435":"248:C", "3448":"249:T", "3460":"250:T", "3473":"251:T", "3485":"252:T", "3496":"253:A", "3507":"254:C", "3520":"255:G", "3532":"256:A", "3544":"257:C", "3555":"258:G", "3568":"259:G", "3581":"260:T", "3593":"261:T", "3605":"262:T", "3617":"263:T", "3629":"264:T", "3640":"265:C", "3652":"266:C", "3662":"267:A", "3674":"268:A", "3686":"269:A", "3698":"270:A", "3709":"271:T", "3720":"272:A", "3732":"273:C", "3744":"274:C", "3755":"275:A", "3768":"276:C", "3781":"277:T", "3792":"278:G", "3806":"279:A", "3818":"280:A", "3830":"281:G", "3843":"282:G", "3855":"283:A", "3866":"284:C", "3878":"285:C", "3889":"286:A", "3901":"287:G", "3914":"288:T", "3927":"289:C", "3939":"290:G", "3952":"291:G", "3964":"292:C", "3976":"293:A", "3987":"294:G", "4000":"295:C", "4012":"296:A", "4023":"297:C", "4036":"298:T", "4047":"299:A", "4059":"300:G", "4072":"301:G", "4085":"302:T", "4096":"303:G", "4109":"304:A", "4120":"305:C", "4132":"306:T", "4144":"307:C", "4156":"308:C", "4168":"309:C", "4181":"310:T", "4193":"311:C", "4205":"312:T", "4216":"313:A", "4228":"314:T", "4240":"315:G", "4252":"316:G", "4264":"317:T", "4276":"318:G", "4288":"319:C", "4299":"320:A", "4311":"321:G", "4323":"322:C", "4335":"323:A", "4346":"324:T", "4359":"325:C", "4371":"326:T", "4383":"327:T", "4396":"328:T", "4407":"329:A", "4418":"330:A", "4430":"331:A", "4441":"332:T", "4454":"333:G", "4466":"334:A", "4477":"335:C", "4489":"336:T", "4502":"337:T", "4514":"338:C", "4526":"339:G", "4539":"340:G", "4551":"341:T", "4562":"342:A", "4573":"343:T", "4586":"344:T", "4598":"345:T", "4610":"346:T", "4622":"347:G", "4635":"348:G", "4646":"349:C", "4659":"350:T", "4671":"351:G", "4683":"352:T", "4695":"353:T", "4706":"354:A", "4718":"355:G", "4730":"356:A", "4743":"357:G", "4754":"358:T", "4766":"359:A", "4778":"360:G", "4790":"361:T", "4802":"362:C", "4813":"363:A", "4824":"364:A", "4836":"365:T", "4849":"366:G", "4862":"367:A", "4873":"368:C", "4885":"369:C", "4896":"370:A", "4908":"371:C", "4919":"372:A", "4931":"373:A", "4944":"374:C", "4956":"375:C", "4968":"376:C", "4981":"377:G", "4994":"378:A", "5005":"379:C", "5018":"380:C", "5028":"381:A", "5040":"382:A", "5052":"383:G", "5064":"384:G", "5077":"385:T", "5089":"386:C", "5100":"387:A", "5111":"388:C", "5123":"389:C", "5136":"390:T", "5149":"391:C", "5161":"392:C", "5171":"393:A", "5183":"394:A", "5195":"395:A", "5207":"396:A", "5218":"397:T", "5230":"398:C", "5241":"399:A", "5254":"400:G", "5267":"401:A", "5279":"402:G", "5291":"403:T", "5303":"404:G", "5315":"405:T", "5326":"406:A", "5337":"407:T", "5349":"408:C", "5362":"409:T", "5373":"410:A", "5385":"411:A", "5397":"412:A", "5409":"413:A", "5421":"414:C", "5433":"415:C", "5445":"416:C", "5456":"417:A", "5468":"418:A", "5480":"419:A", "5492":"420:C", "5503":"421:A", "5515":"422:C", "5526":"423:A", "5538":"424:T", "5551":"425:C", "5562":"426:A", "5575":"427:G", "5588":"428:A", "5599":"429:G", "5612":"430:T", "5624":"431:C", "5636":"432:T", "5648":"433:G", "5661":"434:G", "5673":"435:T", "5685":"436:G", "5697":"437:C", "5709":"438:C", "5720":"439:C", "5733":"440:G", "5745":"441:C", "5757":"442:G", "5770":"443:T", "5782":"444:C", "5794":"445:C", "5804":"446:A", "5816":"447:C", "5828":"448:C", "5840":"449:G", "5853":"450:A", "5865":"451:G", "5877":"452:G", "5890":"453:G", "5902":"454:C", "5913":"455:A", "5925":"456:G", "5937":"457:T", "5949":"458:G", "5962":"459:G", "5974":"460:C", "5986":"461:A", "5997":"462:T", "6009":"463:A", "6020":"464:C", "6033":"465:T", "6044":"466:A", "6056":"467:C", "6069":"468:G", "6082":"469:G", "6094":"470:C", "6107":"471:C", "6119":"472:C", "6131":"473:T", "6143":"474:G", "6156":"475:G", "6169":"476:A", "6180":"477:G", "6192":"478:T", "6204":"479:T", "6216":"480:G", "6228":"481:A", "6239":"482:T", "6251":"483:T", "6262":"484:A", "6274":"485:C", "6285":"486:A", "6297":"487:A", "6309":"488:G", "6322":"489:G", "6335":"490:A", "6346":"491:T", "6358":"492:G", "6371":"493:G", "6383":"494:T", "6395":"495:A", "6406":"496:C", "6417":"497:A", "6429":"498:C", "6442":"499:T", "6454":"500:T", "6466":"501:A", "6478":"502:C", "6489":"503:A", "6501":"504:C", "6514":"505:C", "6526":"506:C", "6539":"507:C", "6551":"508:T", "6564":"509:C", "6576":"510:T", "6588":"511:C", "6600":"512:C", "6610":"513:A", "6622":"514:C", "6634":"515:C", "6645":"516:A", "6657":"517:A", "6669":"518:G", "6681":"519:G", "6695":"520:A", "6705":"521:T", "6718":"522:C", "6730":"523:T", "6743":"524:G", "6755":"525:A", "6767":"526:C", "6779":"527:T", "6790":"528:A", "6802":"529:C", "6813":"530:A", "6825":"531:T", "6837":"532:A", "6849":"533:T", "6862":"534:G", "6875":"535:G", "6888":"536:A", "6899":"537:T", "6911":"538:T", "6924":"539:T", "6936":"540:G", "6949":"541:G", "6962":"542:G", "6974":"543:C", "6985":"544:A", "6996":"545:C", "7009":"546:C", "7020":"547:A", "7032":"548:A", "7044":"549:A", "7056":"550:A", "7068":"551:C", "7079":"552:A", "7091":"553:A", "7104":"554:A", "7116":"555:G", "7128":"556:C", "7140":"557:A", "7153":"558:G", "7165":"559:T", "7177":"560:G", "7189":"561:T", "7201":"562:A", "7212":"563:C", "7224":"564:A", "7236":"565:C", "7247":"566:A", "7260":"567:G", "7273":"568:C", "7285":"569:A", "7297":"570:G", "7310":"571:G", "7322":"572:C", "7335":"573:T", "7347":"574:A", "7358":"575:C", "7369":"576:A", "7381":"577:A", "7394":"578:A", "7406":"579:A", "7417":"580:T", "7430":"581:C", "7442":"582:T", "7456":"583:G", "7467":"584:C", "7479":"585:A", "7490":"586:A", "7502":"587:C", "7515":"588:T", "7526":"589:A", "7538":"590:T", "7551":"591:C", "7563":"592:A", "7574":"593:T", "7587":"594:T", "7600":"595:T", "7612":"596:G", "7626":"597:G", "7637":"598:C", "7650":"599:C", "7661":"600:A", "7672":"601:C", "7683":"602:A", "7695":"603:C", "7707":"604:A", "7720":"605:G", "7733":"606:G", "7746":"607:A", "7758":"608:A", "7770":"609:G", "7782":"610:A", "7793":"611:C", "7805":"612:C", "7818":"613:T", "7830":"614:C", "7842":"615:C", "7853":"616:A", "7865":"617:A", "7877":"618:A", "7889":"619:A", "7900":"620:T", "7913":"621:G", "7924":"622:C", "7937":"623:G", "7949":"624:G", "7959":"625:T", "7972":"626:T", "7983":"627:A", "7994":"628:G", "8004":"629:T", "8018":"630:A", "8030":"631:T"}
}
, {
"traceFileName": "dataset_152171",
"leadingGaps": 2612,
"trailingGaps": 4004,
"peakA": [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, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 4, 6, 8, 11, 14, 17, 20, 23, 26, 30, 33, 38, 42, 47, 52, 58, 65, 71, 77, 82, 86, 88, 89, 91, 93, 97, 100, 104, 106, 107, 108, 108, 109, 111, 114, 116, 119, 121, 122, 123, 124, 126, 128, 131, 134, 136, 138, 140, 142, 144, 147, 151, 155, 159, 163, 167, 169, 170, 170, 170, 170, 172, 173, 175, 177, 177, 176, 174, 172, 171, 172, 173, 174, 174, 172, 169, 165, 160, 156, 153, 151, 151, 151, 152, 152, 152, 152, 150, 149, 148, 147, 147, 147, 146, 144, 141, 138, 135, 133, 131, 130, 130, 129, 127, 124, 121, 118, 115, 112, 110, 109, 107, 106, 104, 102, 99, 96, 93, 91, 89, 88, 87, 86, 84, 82, 81, 79, 79, 78, 77, 76, 74, 71, 68, 66, 66, 66, 67, 68, 68, 67, 65, 63, 62, 61, 61, 62, 63, 63, 64, 65, 65, 66, 66, 65, 63, 62, 60, 59, 59, 59, 61, 63, 65, 67, 69, 70, 70, 69, 68, 66, 65, 64, 64, 64, 64, 64, 64, 63, 62, 61, 61, 61, 61, 60, 59, 58, 57, 56, 56, 55, 55, 56, 56, 57, 58, 58, 59, 59, 58, 57, 55, 54, 53, 53, 53, 54, 56, 57, 58, 58, 57, 56, 55, 54, 54, 55, 57, 59, 61, 62, 63, 63, 62, 62, 62, 62, 62, 63, 63, 64, 65, 66, 67, 69, 71, 72, 71, 70, 69, 68, 67, 68, 70, 72, 75, 77, 78, 79, 79, 79, 79, 79, 79, 79, 79, 79, 80, 83, 86, 89, 92, 92, 92, 91, 89, 89, 90, 92, 96, 99, 101, 103, 104, 104, 106, 111, 121, 136, 157, 182, 209, 236, 259, 276, 284, 285, 281, 273, 265, 260, 258, 262, 271, 284, 300, 318, 337, 356, 372, 384, 391, 392, 387, 376, 361, 345, 331, 322, 317, 317, 321, 326, 333, 339, 343, 346, 348, 347, 344, 337, 327, 314, 300, 285, 272, 261, 251, 243, 238, 236, 238, 244, 252, 263, 273, 281, 287, 290, 290, 288, 284, 278, 270, 262, 254, 245, 236, 227, 219, 211, 203, 197, 193, 193, 195, 200, 206, 214, 222, 230, 239, 249, 260, 271, 280, 288, 292, 293, 291, 286, 280, 271, 262, 250, 236, 220, 202, 185, 167, 151, 137, 123, 110, 97, 84, 73, 64, 56, 51, 48, 46, 45, 45, 45, 47, 51, 57, 66, 77, 90, 104, 119, 134, 149, 165, 180, 195, 211, 227, 243, 261, 278, 295, 311, 323, 333, 340, 344, 348, 353, 358, 364, 369, 374, 377, 379, 379, 378, 378, 379, 380, 382, 383, 384, 385, 384, 382, 380, 377, 375, 374, 373, 372, 371, 370, 368, 366, 363, 361, 360, 359, 358, 356, 354, 352, 350, 349, 349, 349, 349, 350, 350, 349, 349, 350, 352, 356, 360, 365, 369, 371, 370, 367, 362, 356, 349, 341, 333, 325, 315, 304, 292, 278, 262, 246, 228, 210, 192, 174, 156, 139, 123, 108, 94, 82, 72, 63, 55, 49, 43, 38, 32, 27, 21, 17, 12, 9, 6, 4, 3, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 3, 4, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 5, 10, 15, 21, 28, 35, 44, 53, 64, 76, 88, 100, 112, 124, 137, 151, 165, 180, 195, 207, 217, 225, 231, 238, 246, 255, 264, 273, 280, 284, 286, 284, 282, 279, 275, 271, 266, 261, 256, 249, 242, 233, 222, 209, 194, 177, 160, 144, 131, 120, 112, 106, 102, 99, 96, 95, 95, 96, 99, 104, 110, 117, 125, 133, 141, 149, 157, 164, 170, 174, 175, 175, 173, 169, 163, 158, 152, 146, 140, 133, 125, 116, 107, 98, 91, 86, 84, 85, 88, 94, 100, 108, 116, 126, 137, 149, 162, 176, 190, 202, 212, 220, 225, 228, 228, 227, 224, 218, 211, 203, 193, 181, 169, 155, 141, 128, 116, 105, 96, 87, 80, 72, 65, 58, 52, 45, 40, 35, 32, 29, 27, 25, 24, 23, 23, 22, 22, 21, 21, 20, 19, 19, 19, 19, 20, 21, 22, 23, 23, 23, 22, 20, 18, 17, 16, 15, 15, 15, 15, 15, 15, 14, 14, 14, 13, 13, 12, 10, 9, 8, 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, 1, 4, 8, 13, 20, 28, 37, 47, 57, 68, 80, 93, 107, 123, 140, 157, 174, 190, 202, 211, 217, 221, 223, 224, 223, 221, 216, 208, 197, 183, 168, 153, 138, 123, 110, 96, 84, 72, 62, 55, 49, 45, 42, 39, 36, 32, 27, 23, 20, 19, 19, 19, 19, 18, 16, 13, 10, 8, 7, 7, 8, 8, 8, 7, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 12, 19, 28, 39, 52, 67, 82, 99, 116, 133, 150, 167, 183, 198, 212, 223, 231, 236, 238, 237, 234, 229, 223, 214, 202, 188, 172, 155, 140, 127, 118, 111, 108, 107, 107, 110, 114, 120, 128, 139, 151, 164, 178, 192, 205, 219, 232, 244, 254, 261, 263, 261, 254, 243, 230, 216, 200, 185, 169, 152, 134, 117, 100, 84, 70, 58, 47, 38, 30, 23, 17, 13, 11, 9, 8, 6, 5, 4, 4, 5, 7, 10, 11, 11, 9, 6, 3, 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, 1, 3, 5, 7, 8, 9, 10, 11, 12, 15, 20, 27, 36, 46, 57, 68, 80, 93, 108, 123, 141, 160, 179, 199, 219, 237, 252, 263, 271, 276, 277, 275, 272, 265, 257, 245, 230, 212, 194, 175, 157, 141, 126, 111, 98, 84, 72, 62, 54, 49, 46, 45, 45, 44, 41, 39, 35, 33, 31, 30, 30, 31, 30, 29, 28, 27, 26, 26, 27, 28, 29, 28, 27, 24, 21, 18, 17, 17, 18, 20, 21, 22, 21, 20, 18, 17, 16, 16, 17, 19, 21, 25, 30, 36, 45, 55, 66, 79, 92, 107, 124, 141, 159, 178, 197, 214, 228, 239, 246, 248, 247, 243, 237, 229, 217, 203, 186, 167, 147, 127, 109, 94, 81, 69, 59, 49, 41, 33, 27, 22, 20, 20, 21, 23, 26, 30, 35, 40, 47, 56, 67, 80, 96, 114, 133, 152, 171, 187, 202, 215, 226, 237, 247, 256, 262, 264, 262, 255, 243, 229, 212, 195, 177, 160, 142, 125, 108, 92, 76, 62, 49, 38, 29, 22, 17, 14, 12, 10, 8, 6, 4, 2, 1, 1, 2, 3, 3, 3, 3, 3, 4, 7, 11, 17, 23, 28, 33, 37, 41, 46, 54, 65, 78, 94, 109, 124, 136, 146, 154, 161, 168, 174, 178, 180, 178, 172, 163, 151, 138, 126, 114, 104, 95, 87, 80, 74, 70, 66, 65, 67, 71, 79, 91, 106, 123, 141, 159, 178, 195, 212, 228, 244, 257, 268, 276, 281, 283, 283, 284, 285, 287, 290, 291, 289, 286, 281, 275, 269, 263, 257, 248, 236, 221, 204, 186, 167, 149, 133, 117, 102, 88, 75, 65, 59, 57, 59, 63, 70, 78, 86, 95, 105, 117, 130, 145, 159, 172, 182, 188, 189, 186, 180, 173, 164, 154, 143, 132, 119, 107, 95, 85, 78, 73, 70, 70, 71, 76, 84, 96, 111, 129, 148, 168, 187, 206, 224, 241, 256, 268, 277, 281, 280, 275, 266, 253, 236, 217, 197, 175, 154, 135, 117, 101, 86, 73, 62, 52, 43, 36, 30, 25, 21, 18, 15, 13, 12, 10, 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, 1, 1, 2, 3, 3, 3, 3, 4, 4, 6, 7, 9, 10, 11, 12, 13, 14, 15, 17, 19, 20, 20, 20, 19, 17, 15, 14, 13, 12, 12, 13, 13, 13, 13, 11, 9, 7, 6, 7, 11, 16, 22, 29, 36, 43, 51, 60, 71, 85, 101, 118, 136, 156, 176, 196, 217, 237, 255, 270, 281, 288, 291, 293, 294, 296, 299, 301, 304, 305, 305, 305, 304, 303, 303, 304, 304, 303, 300, 296, 289, 282, 275, 268, 263, 259, 256, 253, 250, 246, 240, 233, 224, 214, 203, 190, 177, 164, 149, 134, 119, 104, 91, 78, 69, 63, 61, 64, 72, 83, 98, 116, 135, 155, 176, 198, 220, 241, 262, 279, 292, 300, 303, 301, 294, 284, 271, 255, 237, 217, 197, 177, 158, 140, 124, 109, 96, 85, 75, 68, 62, 57, 52, 48, 43, 39, 34, 30, 26, 23, 21, 18, 16, 15, 14, 14, 14, 14, 15, 15, 15, 15, 15, 16, 18, 19, 21, 23, 25, 26, 27, 27, 27, 26, 25, 24, 25, 27, 29, 32, 34, 34, 33, 31, 30, 29, 30, 32, 34, 34, 34, 32, 31, 29, 29, 30, 32, 34, 35, 35, 33, 30, 28, 26, 25, 26, 26, 27, 29, 29, 29, 29, 27, 25, 23, 22, 22, 22, 24, 26, 27, 27, 26, 24, 22, 20, 19, 18, 19, 19, 19, 18, 18, 17, 16, 15, 16, 17, 19, 23, 29, 37, 49, 65, 84, 105, 128, 152, 175, 198, 221, 244, 266, 286, 303, 313, 317, 313, 303, 289, 271, 252, 231, 210, 187, 164, 142, 120, 102, 87, 75, 65, 57, 50, 44, 39, 35, 31, 29, 27, 26, 26, 28, 32, 38, 48, 60, 74, 89, 105, 123, 143, 164, 187, 211, 233, 252, 268, 279, 287, 292, 296, 299, 302, 306, 310, 313, 317, 320, 323, 325, 325, 323, 318, 309, 296, 279, 259, 237, 214, 191, 168, 146, 125, 105, 87, 70, 55, 43, 34, 26, 21, 17, 14, 12, 11, 11, 11, 13, 15, 16, 18, 19, 20, 20, 20, 20, 18, 17, 15, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 3, 7, 12, 20, 30, 42, 56, 72, 91, 111, 134, 158, 184, 211, 237, 260, 280, 293, 299, 299, 293, 283, 270, 255, 239, 219, 197, 173, 148, 124, 102, 85, 71, 60, 52, 45, 40, 35, 32, 30, 30, 31, 31, 30, 29, 26, 24, 23, 23, 24, 25, 26, 26, 25, 24, 23, 23, 24, 27, 30, 34, 39, 43, 49, 57, 66, 77, 90, 106, 124, 142, 162, 182, 201, 218, 231, 240, 243, 241, 233, 221, 206, 190, 173, 156, 139, 121, 103, 85, 68, 53, 41, 31, 24, 20, 18, 17, 17, 17, 16, 15, 14, 13, 13, 13, 14, 15, 17, 18, 19, 20, 19, 18, 16, 13, 12, 11, 11, 11, 11, 10, 10, 8, 7, 6, 6, 6, 6, 7, 7, 8, 9, 10, 10, 11, 11, 12, 11, 11, 11, 11, 10, 9, 7, 4, 3, 2, 2, 2, 3, 5, 6, 7, 7, 8, 8, 8, 8, 8, 7, 6, 6, 6, 6, 7, 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, 1, 4, 7, 10, 13, 16, 21, 28, 38, 52, 70, 91, 113, 137, 160, 182, 203, 223, 242, 259, 273, 284, 292, 296, 297, 296, 295, 295, 296, 298, 301, 304, 308, 311, 314, 317, 319, 320, 319, 316, 312, 307, 304, 302, 302, 304, 306, 307, 304, 298, 287, 272, 253, 232, 209, 185, 160, 136, 113, 92, 74, 60, 52, 49, 51, 58, 68, 81, 94, 109, 124, 141, 158, 175, 191, 204, 212, 214, 210, 201, 189, 174, 158, 142, 125, 108, 91, 75, 61, 47, 36, 27, 21, 16, 14, 12, 12, 12, 11, 11, 10, 8, 8, 7, 8, 8, 9, 9, 9, 8, 7, 7, 7, 8, 10, 14, 18, 23, 29, 35, 43, 51, 62, 75, 90, 108, 129, 152, 178, 205, 232, 258, 280, 299, 313, 322, 328, 331, 332, 334, 338, 343, 350, 359, 368, 376, 383, 387, 387, 383, 375, 362, 344, 323, 299, 271, 241, 209, 176, 146, 118, 94, 75, 60, 50, 42, 37, 32, 28, 24, 19, 16, 12, 10, 9, 8, 8, 7, 5, 3, 2, 1, 1, 3, 4, 5, 5, 3, 1, 0, 0, 2, 6, 12, 19, 28, 39, 52, 69, 90, 115, 146, 179, 214, 247, 278, 304, 325, 341, 350, 351, 345, 330, 307, 279, 246, 214, 182, 153, 128, 106, 86, 70, 57, 47, 40, 35, 31, 27, 24, 21, 19, 17, 16, 16, 15, 15, 13, 11, 10, 8, 8, 9, 11, 13, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27, 28, 29, 30, 30, 30, 31, 33, 39, 47, 59, 73, 88, 106, 124, 144, 165, 186, 206, 223, 235, 242, 243, 239, 229, 216, 200, 181, 160, 138, 115, 93, 73, 56, 42, 32, 24, 19, 15, 11, 8, 6, 4, 2, 2, 2, 2, 3, 4, 7, 11, 18, 28, 43, 62, 85, 112, 141, 172, 203, 233, 262, 287, 307, 322, 330, 331, 323, 308, 287, 261, 232, 202, 172, 145, 120, 99, 81, 66, 55, 45, 38, 33, 28, 25, 22, 20, 18, 16, 15, 14, 13, 13, 15, 20, 26, 36, 47, 62, 78, 98, 119, 142, 165, 186, 204, 218, 226, 229, 225, 216, 202, 184, 163, 141, 120, 100, 82, 67, 56, 48, 44, 44, 48, 58, 71, 88, 109, 132, 156, 182, 206, 228, 246, 258, 263, 261, 252, 238, 220, 198, 175, 151, 127, 104, 84, 66, 50, 38, 28, 21, 15, 12, 10, 8, 8, 7, 7, 7, 8, 9, 10, 11, 11, 10, 8, 7, 5, 5, 6, 7, 7, 7, 6, 4, 2, 0, 0, 0, 1, 2, 3, 2, 1, 1, 1, 2, 4, 6, 7, 9, 12, 18, 29, 44, 64, 88, 114, 142, 171, 201, 233, 266, 298, 325, 347, 359, 364, 361, 354, 346, 339, 335, 334, 336, 339, 344, 348, 351, 351, 347, 338, 325, 307, 284, 258, 231, 203, 175, 148, 124, 102, 84, 69, 58, 51, 46, 43, 40, 38, 36, 34, 33, 32, 33, 35, 38, 41, 45, 50, 58, 69, 83, 102, 125, 151, 178, 207, 234, 260, 282, 302, 317, 329, 337, 341, 342, 343, 343, 344, 348, 355, 363, 374, 384, 392, 398, 400, 398, 394, 388, 382, 379, 380, 385, 393, 404, 415, 424, 427, 422, 409, 388, 359, 325, 288, 250, 212, 177, 143, 113, 87, 66, 49, 36, 27, 21, 17, 14, 12, 9, 7, 5, 4, 2, 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, 1, 1, 0, 0, 1, 2, 3, 4, 4, 4, 3, 3, 3, 5, 8, 11, 14, 17, 19, 20, 20, 19, 19, 19, 19, 20, 20, 20, 19, 18, 17, 16, 16, 17, 18, 18, 17, 15, 14, 12, 10, 9, 8, 8, 8, 9, 11, 16, 24, 35, 51, 72, 95, 122, 151, 180, 208, 234, 256, 273, 283, 285, 280, 267, 247, 222, 194, 165, 136, 108, 84, 62, 44, 30, 20, 13, 9, 7, 7, 7, 8, 7, 7, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 4, 5, 5, 5, 4, 3, 3, 5, 8, 13, 20, 29, 41, 55, 72, 92, 114, 137, 159, 178, 193, 202, 205, 202, 193, 180, 164, 145, 126, 106, 87, 69, 52, 38, 28, 20, 15, 12, 11, 9, 7, 5, 3, 1, 0, 0, 1, 2, 3, 3, 3, 2, 1, 1, 2, 3, 4, 5, 5, 6, 6, 8, 10, 13, 17, 20, 22, 23, 23, 23, 21, 20, 18, 16, 14, 12, 10, 10, 11, 15, 22, 34, 52, 74, 102, 136, 173, 213, 254, 294, 332, 364, 389, 404, 408, 399, 379, 349, 312, 270, 229, 189, 153, 122, 97, 77, 62, 52, 46, 42, 39, 38, 36, 33, 30, 26, 22, 19, 16, 13, 11, 10, 9, 10, 11, 12, 13, 13, 13, 13, 14, 16, 19, 23, 26, 29, 30, 31, 30, 29, 28, 27, 26, 26, 27, 31, 37, 46, 59, 74, 93, 115, 140, 167, 197, 227, 255, 281, 303, 318, 328, 331, 330, 326, 323, 321, 324, 331, 341, 353, 367, 379, 388, 394, 394, 388, 376, 360, 341, 324, 310, 302, 299, 300, 302, 303, 301, 293, 279, 260, 237, 210, 182, 153, 126, 100, 78, 58, 43, 30, 20, 13, 8, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 8, 9, 10, 12, 14, 17, 20, 24, 27, 30, 32, 33, 34, 33, 32, 31, 29, 27, 26, 25, 25, 26, 28, 29, 29, 29, 28, 27, 26, 25, 25, 26, 27, 28, 29, 30, 30, 29, 27, 26, 24, 23, 23, 24, 25, 26, 27, 26, 24, 22, 19, 16, 14, 13, 12, 11, 10, 8, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 11, 18, 29, 44, 63, 87, 115, 146, 177, 207, 234, 255, 268, 273, 270, 259, 240, 215, 187, 156, 126, 98, 73, 53, 36, 25, 18, 16, 21, 32, 51, 77, 109, 147, 187, 229, 269, 305, 336, 360, 376, 383, 382, 376, 365, 352, 341, 334, 332, 335, 343, 354, 365, 375, 379, 377, 369, 356, 343, 332, 326, 326, 333, 345, 360, 374, 384, 389, 386, 375, 355, 325, 287, 245, 200, 157, 119, 87, 63, 46, 35, 27, 22, 18, 14, 11, 8, 6, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 11, 21, 35, 55, 79, 107, 137, 167, 193, 215, 229, 236, 236, 229, 216, 199, 177, 152, 126, 99, 75, 53, 36, 23, 14, 8, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 9, 20, 38, 62, 91, 125, 163, 204, 245, 286, 323, 352, 372, 380, 375, 357, 329, 294, 253, 211, 170, 132, 99, 72, 53, 40, 33, 30, 29, 28, 26, 23, 20, 17, 15, 13, 12, 12, 11, 10, 8, 6, 4, 3, 3, 3, 4, 5, 5, 5, 4, 3, 2, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 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, 1, 2, 5, 8, 12, 19, 29, 43, 63, 89, 123, 163, 207, 253, 297, 337, 369, 390, 397, 390, 368, 334, 291, 244, 197, 153, 114, 82, 57, 38, 26, 21, 24, 33, 48, 69, 94, 121, 147, 172, 194, 212, 224, 230, 228, 219, 203, 180, 152, 122, 93, 66, 43, 26, 15, 8, 6, 9, 15, 26, 43, 67, 97, 134, 177, 221, 265, 304, 334, 354, 364, 364, 357, 348, 338, 332, 330, 335, 345, 360, 380, 400, 417, 428, 429, 417, 391, 351, 303, 249, 196, 147, 107, 76, 53, 39, 32, 31, 35, 45, 61, 83, 109, 140, 173, 205, 232, 253, 263, 262, 251, 230, 202, 171, 139, 108, 80, 56, 36, 21, 11, 7, 7, 14, 27, 46, 71, 101, 136, 175, 215, 253, 288, 317, 337, 347, 347, 340, 327, 315, 306, 304, 311, 324, 341, 360, 375, 384, 385, 376, 359, 335, 308, 282, 261, 248, 244, 248, 256, 263, 268, 266, 257, 240, 218, 191, 161, 131, 101, 74, 52, 34, 21, 11, 6, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 14, 30, 53, 83, 118, 159, 203, 248, 291, 330, 359, 375, 377, 362, 333, 293, 246, 198, 153, 114, 81, 56, 38, 25, 18, 16, 18, 25, 37, 53, 73, 98, 127, 158, 193, 226, 257, 282, 296, 299, 290, 269, 239, 204, 165, 128, 93, 63, 39, 21, 9, 2, 0, 0, 3, 12, 27, 49, 79, 117, 161, 208, 255, 299, 335, 360, 372, 370, 354, 325, 287, 242, 196, 150, 110, 75, 49, 29, 17, 9, 5, 3, 2, 2, 3, 4, 5, 7, 10, 12, 14, 16, 16, 16, 15, 14, 13, 13, 12, 11, 9, 7, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 6, 18, 36, 64, 99, 143, 192, 244, 296, 341, 377, 397, 401, 388, 359, 318, 268, 215, 164, 118, 80, 51, 31, 19, 15, 18, 25, 39, 58, 84, 115, 150, 185, 219, 247, 266, 274, 270, 255, 230, 199, 164, 128, 95, 66, 42, 23, 9, 1, 0, 1, 10, 27, 51, 84, 125, 172, 225, 278, 330, 374, 407, 425, 426, 409, 376, 332, 280, 227, 177, 132, 97, 70, 50, 37, 29, 24, 21, 20, 19, 18, 17, 14, 12, 8, 5, 2, 0, 0, 0, 3, 10, 23, 40, 64, 92, 124, 158, 194, 228, 257, 279, 288, 285, 270, 242, 208, 170, 133, 99, 70, 48, 30, 17, 7, 2, 1, 6, 17, 36, 63, 97, 141, 191, 247, 304, 356, 399, 427, 437, 427, 400, 360, 310, 256, 203, 153, 111, 77, 53, 38, 31, 28, 28, 28, 28, 28, 27, 25, 24, 24, 23, 23, 23, 23, 23, 22, 22, 21, 20, 18, 17, 15, 12, 10, 8, 6, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 8, 22, 44, 76, 117, 167, 223, 281, 336, 382, 414, 430, 429, 412, 386, 356, 329, 310, 303, 309, 328, 355, 384, 410, 427, 429, 416, 386, 343, 292, 237, 184, 137, 99, 70, 51, 40, 33, 30, 28, 27, 26, 24, 23, 22, 22, 22, 22, 21, 21, 21, 21, 21, 21, 21, 20, 18, 15, 13, 10, 7, 5, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 14, 35, 67, 112, 167, 230, 294, 354, 405, 442, 460, 458, 436, 398, 347, 289, 229, 173, 124, 84, 54, 33, 21, 16, 17, 24, 37, 57, 85, 122, 169, 224, 285, 347, 404, 449, 476, 483, 467, 432, 382, 323, 262, 203, 151, 108, 74, 49, 33, 25, 21, 21, 23, 24, 24, 22, 19, 15, 12, 9, 7, 6, 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, 3, 9, 22, 41, 69, 105, 151, 204, 261, 316, 363, 397, 415, 413, 393, 357, 309, 256, 202, 152, 109, 75, 50, 34, 25, 21, 21, 22, 23, 24, 24, 22, 19, 15, 10, 6, 3, 1, 0, 0, 0, 3, 12, 30, 58, 99, 152, 214, 280, 346, 404, 447, 473, 477, 461, 425, 375, 314, 249, 186, 129, 82, 47, 23, 10, 5, 8, 18, 35, 59, 93, 135, 184, 238, 291, 340, 378, 400, 404, 389, 357, 311, 257, 201, 148, 104, 69, 46, 31, 24, 21, 22, 26, 35, 49, 70, 100, 137, 182, 229, 276, 317, 350, 372, 379, 374, 357, 333, 307, 286, 275, 278, 296, 324, 357, 387, 406, 409, 394, 362, 318, 266, 212, 161, 116, 80, 52, 31, 18, 9, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 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, 1, 1, 2, 3, 4, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 5, 8, 11, 14, 16, 18, 17, 15, 13, 9, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 9, 11, 14, 16, 17, 17, 16, 13, 10, 6, 3, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 4, 5, 6, 9, 13, 17, 21, 24, 25, 25, 24, 23, 22, 21, 21, 21, 22, 22, 23, 24, 26, 27, 29, 30, 30, 29, 28, 26, 24, 23, 23, 24, 25, 27, 29, 30, 31, 31, 30, 29, 27, 25, 23, 22, 22, 22, 23, 24, 25, 25, 24, 22, 19, 16, 13, 11, 8, 6, 4, 3, 2, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 12, 15, 17, 18, 19, 18, 15, 12, 8, 4, 2, 1, 0, 0, 0, 0, 7, 23, 49, 87, 136, 192, 250, 304, 349, 380, 392, 385, 359, 317, 265, 208, 152, 103, 63, 34, 15, 5, 0, 0, 0, 1, 3, 4, 4, 5, 7, 8, 10, 12, 14, 15, 16, 16, 16, 15, 14, 13, 11, 8, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 9, 13, 17, 21, 23, 25, 25, 24, 23, 21, 19, 17, 14, 11, 7, 4, 1, 0, 0, 1, 3, 5, 6, 8, 9, 11, 14, 17, 21, 23, 25, 25, 23, 21, 18, 16, 15, 14, 15, 17, 18, 19, 18, 17, 15, 12, 10, 9, 7, 6, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 4, 18, 42, 80, 128, 186, 248, 308, 360, 398, 417, 414, 390, 346, 288, 225, 163, 109, 67, 37, 18, 8, 4, 2, 2, 3, 3, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 3, 16, 40, 78, 130, 193, 264, 337, 404, 459, 494, 505, 488, 447, 386, 313, 238, 168, 110, 66, 37, 20, 12, 9, 10, 12, 13, 14, 15, 15, 15, 15, 15, 15, 16, 17, 20, 24, 31, 43, 61, 85, 115, 150, 185, 217, 241, 255, 256, 244, 221, 190, 154, 117, 82, 53, 30, 15, 5, 1, 0, 1, 2, 3, 4, 5, 4, 3, 3, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 4, 7, 10, 12, 15, 18, 22, 25, 27, 28, 28, 26, 22, 18, 14, 11, 8, 6, 5, 4, 4, 4, 4, 5, 6, 8, 10, 13, 15, 18, 21, 23, 25, 27, 28, 27, 26, 24, 22, 19, 16, 14, 12, 12, 12, 14, 19, 29, 47, 75, 117, 172, 240, 315, 391, 458, 506, 528, 520, 482, 421, 345, 265, 189, 124, 74, 38, 15, 2, 0, 2, 13, 33, 65, 108, 160, 220, 281, 337, 381, 408, 413, 399, 368, 329, 292, 264, 254, 263, 291, 331, 376, 415, 439, 442, 420, 376, 315, 246, 177, 117, 70, 38, 18, 8, 4, 2, 1, 1, 0, 1, 2, 3, 4, 5, 5, 5, 5, 6, 6, 7, 7, 7, 7, 6, 5, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 5, 22, 53, 100, 164, 240, 319, 393, 451, 485, 492, 470, 424, 361, 290, 219, 155, 103, 65, 40, 26, 22, 23, 26, 30, 32, 32, 31, 29, 25, 22, 18, 15, 12, 10, 9, 9, 9, 9, 8, 7, 6, 5, 4, 5, 6, 8, 8, 9, 8, 7, 5, 4, 4, 4, 5, 6, 8, 9, 10, 10, 10, 9, 8, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 21, 46, 83, 130, 181, 232, 276, 305, 318, 311, 287, 249, 203, 153, 106, 66, 36, 15, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 18, 45, 87, 146, 218, 298, 375, 438, 479, 491, 472, 426, 360, 284, 209, 141, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 88, 50, 26, 15, 13, 16, 20, 24, 26, 26, 24, 20, 17, 13, 10, 7, 4, 3, 2, 1, 2, 3, 3, 4, 4, 3, 4, 4, 6, 7, 7, 9, 13, 24, 44, 79, 130, 196, 273, 355, 431, 491, 527, 533, 508, 454, 379, 294, 207, 131, 71, 31, 9, 0, 0, 0, 2, 8, 22, 48, 88, 143, 211, 285, 357, 418, 459, 474, 461, 424, 369, 311, 261, 232, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 230, 256, 305, 365, 421, 463, 478, 464, 421, 358, 283, 208, 142, 89, 52, 31, 21, 19, 23, 28, 33, 36, 36, 35, 31, 27, 22, 18, 15, 13, 11, 10, 9, 9, 12, 22, 43, 77, 129, 195, 273, 354, 430, 489, 524, 528, 500, 444, 367, 280, 194, 120, 63, 26, 6, 0, 0, 0, 2, 9, 24, 50, 91, 144, 207, 272, 331, 375, 398, 395, 370, 328, 281, 240, 219, 226, 263, 326, 404, 480, 540, 571, 566, 526, 457, 369, 277, 191, 120, 67, 34, 16, 10, 10, 14, 17, 20, 21, 20, 19, 16, 13, 10, 6, 3, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 18, 47, 93, 155, 231, 312, 388, 448, 484, 489, 462, 408, 334, 253, 174, 107, 56, 24, 6, 0, 0, 3, 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, 2, 3, 4, 5, 7, 8, 10, 11, 13, 15, 17, 18, 17, 15, 11, 6, 2, 0, 0, 0, 0, 0, 0, 0, 5, 24, 61, 118, 193, 280, 368, 446, 502, 527, 517, 475, 407, 323, 236, 156, 91, 46, 19, 7, 5, 9, 15, 20, 24, 26, 26, 25, 23, 19, 15, 10, 6, 3, 2, 1, 1, 1, 2, 2, 3, 4, 6, 8, 10, 14, 17, 21, 23, 24, 24, 21, 18, 14, 10, 6, 3, 1, 0, 0, 0, 0, 1, 3, 5, 7, 10, 13, 16, 18, 21, 24, 25, 25, 24, 22, 19, 16, 14, 12, 10, 9, 7, 5, 5, 10, 23, 48, 87, 143, 213, 292, 371, 440, 487, 504, 488, 442, 378, 309, 252, 221, 223, 259, 320, 392, 460, 508, 524, 506, 456, 382, 297, 211, 135, 76, 35, 11, 0, 0, 1, 5, 8, 12, 19, 33, 60, 102, 161, 234, 313, 389, 451, 487, 492, 464, 409, 334, 251, 171, 104, 53, 21, 5, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 7, 27, 64, 118, 186, 262, 335, 393, 427, 431, 406, 355, 287, 212, 142, 84, 42, 16, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 20, 57, 117, 197, 290, 384, 468, 527, 554, 544, 499, 425, 334, 239, 152, 83, 36, 10, 0, 0, 0, 0, 5, 18, 46, 91, 154, 231, 314, 394, 458, 497, 504, 478, 425, 355, 286, 233, 209, 219, 261, 324, 392, 449, 481, 479, 444, 384, 314, 251, 210, 202, 229, 285, 356, 427, 481, 504, 492, 446, 376, 292, 207, 132, 75, 35, 14, 5, 3, 5, 7, 8, 9, 14, 27, 52, 91, 143, 205, 269, 327, 371, 392, 388, 357, 305, 240, 171, 107, 57, 23, 4, 0, 0, 1, 2, 1, 0, 0, 6, 26, 61, 110, 171, 237, 297, 343, 366, 362, 333, 283, 222, 158, 100, 55, 24, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 4, 5, 5, 5, 5, 5, 6, 9, 12, 17, 20, 23, 23, 20, 16, 11, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 19, 55, 114, 195, 292, 392, 480, 544, 572, 560, 511, 434, 340, 245, 159, 92, 45, 19, 8, 9, 15, 24, 32, 37, 40, 40, 37, 33, 27, 21, 17, 14, 12, 11, 10, 10, 9, 8, 6, 5, 4, 4, 5, 7, 9, 11, 11, 10, 8, 6, 5, 5, 7, 10, 13, 16, 18, 19, 20, 20, 19, 18, 16, 14, 11, 8, 4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 11, 17, 23, 27, 31, 34, 35, 35, 33, 31, 28, 24, 21, 18, 16, 15, 15, 14, 16, 22, 37, 68, 119, 190, 279, 375, 466, 537, 574, 570, 525, 447, 349, 247, 155, 83, 34, 8, 0, 1, 9, 18, 27, 33, 37, 37, 35, 30, 24, 19, 15, 13, 13, 14, 15, 15, 17, 26, 47, 85, 144, 222, 311, 399, 471, 515, 520, 487, 423, 344, 271, 224, 219, 261, 346, 456, 568, 658, 703, 694, 633, 534, 419, 315, 244, 220, 247, 316, 410, 505, 580, 616, 606, 551, 462, 354, 245, 150, 77, 31, 6, 0, 1, 6, 11, 13, 14, 13, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 14, 14, 14, 14, 14, 14, 16, 19, 23, 28, 33, 37, 40, 40, 39, 36, 31, 26, 20, 15, 11, 8, 4, 2, 1, 6, 21, 53, 108, 189, 293, 408, 520, 609, 658, 657, 606, 515, 400, 280, 174, 91, 37, 8, 0, 0, 7, 15, 22, 26, 28, 27, 24, 19, 14, 10, 8, 7, 8, 8, 8, 7, 4, 2, 0, 0, 1, 2, 4, 6, 7, 8, 8, 7, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 2, 1, 1, 2, 3, 4, 5, 5, 6, 6, 5, 5, 3, 2, 1, 0, 0, 0, 1, 3, 4, 5, 5, 4, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 8, 31, 74, 136, 212, 293, 365, 416, 437, 423, 378, 308, 228, 149, 84, 37, 10, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 13, 41, 90, 158, 240, 326, 402, 456, 477, 460, 408, 331, 242, 156, 85, 36, 9, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 3, 4, 4, 3, 3, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 3, 1, 0, 0, 8, 36, 88, 166, 263, 368, 463, 531, 560, 544, 487, 399, 298, 198, 114, 53, 16, 0, 0, 0, 6, 10, 12, 12, 14, 23, 45, 88, 154, 242, 344, 444, 526, 572, 573, 528, 445, 340, 232, 137, 67, 23, 2, 0, 0, 3, 5, 6, 5, 5, 5, 5, 5, 4, 3, 2, 2, 3, 3, 3, 3, 2, 1, 0, 0, 0, 1, 2, 3, 4, 6, 7, 8, 8, 7, 6, 5, 5, 5, 7, 8, 9, 8, 6, 5, 11, 30, 68, 127, 205, 293, 378, 446, 483, 482, 442, 371, 282, 192, 113, 55, 18, 1, 0, 0, 2, 4, 4, 1, 0, 0, 8, 41, 103, 193, 306, 427, 534, 609, 637, 613, 542, 438, 320, 207, 115, 50, 14, 0, 0, 1, 4, 5, 6, 6, 7, 8, 10, 11, 13, 15, 17, 21, 25, 29, 32, 32, 31, 27, 23, 18, 14, 12, 10, 10, 9, 7, 3, 2, 7, 28, 70, 140, 234, 345, 456, 547, 601, 605, 558, 469, 359, 254, 180, 154, 185, 266, 378, 497, 594, 647, 644, 586, 484, 361, 238, 135, 61, 19, 0, 0, 0, 3, 4, 3, 3, 3, 4, 5, 5, 5, 5, 5, 6, 8, 10, 11, 11, 9, 6, 3, 0, 0, 0, 0, 1, 2, 1, 0, 0, 3, 21, 57, 112, 184, 264, 339, 395, 421, 413, 370, 302, 222, 143, 77, 32, 7, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 4, 7, 11, 14, 17, 18, 19, 18, 16, 13, 9, 6, 4, 2, 1, 2, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 4, 4, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 4, 5, 6, 9, 14, 18, 22, 24, 23, 20, 16, 10, 6, 2, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 3, 4, 5, 4, 2, 0, 0, 10, 40, 98, 184, 294, 412, 520, 597, 627, 602, 527, 418, 295, 180, 90, 32, 4, 0, 0, 3, 5, 4, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 11, 39, 87, 154, 230, 304, 360, 389, 383, 345, 282, 207, 133, 72, 30, 7, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 2, 1, 2, 4, 7, 10, 14, 17, 19, 19, 18, 15, 12, 7, 2, 0, 0, 0, 1, 4, 4, 1, 0, 0, 19, 62, 134, 230, 337, 435, 504, 527, 499, 428, 332, 236, 166, 142, 172, 252, 364, 481, 575, 624, 615, 550, 444, 325, 221, 159, 155, 210, 309, 428, 535, 603, 615, 568, 474, 354, 233, 130, 57, 16, 0, 0, 2, 6, 8, 8, 7, 5, 4, 3, 3, 3, 4, 5, 7, 8, 7, 5, 3, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 3, 2, 0, 0, 6, 31, 79, 151, 237, 325, 398, 440, 443, 405, 336, 249, 162, 89, 37, 9, 0, 0, 1, 3, 3, 1, 0, 0, 0, 1, 3, 4, 5, 6, 6, 5, 4, 4, 5, 5, 6, 7, 8, 8, 8, 9, 11, 12, 10, 6, 1, 0, 7, 34, 88, 172, 279, 397, 506, 584, 614, 590, 515, 406, 284, 172, 84, 27, 1, 0, 0, 6, 10, 9, 4, 1, 2, 15, 45, 98, 172, 262, 355, 434, 482, 488, 450, 376, 280, 183, 100, 41, 9, 0, 0, 2, 4, 5, 4, 4, 5, 7, 8, 7, 5, 2, 0, 0, 2, 4, 3, 0, 0, 5, 30, 81, 157, 254, 355, 442, 495, 503, 463, 384, 286, 191, 122, 95, 115, 176, 260, 347, 414, 444, 431, 380, 301, 213, 131, 67, 25, 3, 0, 0, 1, 5, 5, 3, 0, 0, 4, 33, 94, 190, 313, 446, 565, 645, 666, 623, 525, 393, 259, 155, 107, 127, 214, 349, 501, 636, 723, 743, 691, 581, 436, 286, 158, 67, 16, 0, 0, 4, 9, 9, 7, 4, 3, 5, 7, 10, 13, 16, 20, 24, 27, 30, 32, 32, 30, 26, 22, 18, 16, 15, 16, 19, 23, 26, 29, 30, 29, 27, 23, 18, 14, 11, 10, 11, 13, 17, 19, 20, 19, 17, 12, 7, 2, 0, 0, 0, 2, 4, 3, 0, 0, 0, 22, 68, 142, 239, 344, 438, 501, 519, 486, 412, 311, 205, 114, 48, 11, 0, 0, 2, 4, 4, 1, 0, 0, 0, 0, 2, 3, 5, 7, 10, 12, 14, 15, 15, 15, 14, 13, 11, 9, 6, 3, 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, 1, 3, 4, 5, 6, 6, 4, 2, 0, 0, 0, 0, 2, 4, 3, 0, 0, 5, 31, 86, 170, 276, 388, 484, 542, 549, 501, 410, 299, 198, 134, 127, 182, 287, 417, 541, 626, 650, 609, 511, 381, 250, 150, 104, 122, 199, 315, 441, 546, 605, 605, 545, 441, 316, 195, 98, 34, 3, 0, 0, 6, 10, 10, 9, 8, 8, 9, 9, 7, 4, 0, 0, 0, 1, 4, 5, 2, 0, 0, 16, 62, 144, 257, 386, 509, 599, 635, 607, 521, 396, 261, 150, 88, 92, 163, 286, 433, 569, 663, 692, 652, 552, 417, 275, 152, 64, 15, 0, 0, 6, 14, 19, 22, 23, 24, 24, 22, 18, 13, 9, 5, 3, 2, 2, 3, 3, 4, 5, 6, 8, 9, 10, 12, 15, 19, 23, 28, 30, 30, 26, 19, 11, 3, 0, 0, 1, 3, 3, 0, 0, 2, 25, 73, 146, 237, 331, 409, 454, 456, 413, 335, 241, 149, 75, 26, 2, 0, 0, 3, 5, 3, 0, 0, 0, 1, 5, 8, 8, 6, 3, 0, 0, 0, 3, 4, 2, 0, 0, 12, 49, 115, 208, 316, 420, 498, 531, 508, 433, 325, 210, 119, 80, 107, 198, 334, 483, 608, 678, 676, 602, 474, 325, 188, 96, 66, 103, 195, 316, 437, 527, 566, 545, 471, 362, 243, 138, 60, 15, 0, 0, 3, 7, 7, 4, 2, 3, 6, 8, 9, 7, 3, 0, 0, 0, 4, 6, 3, 0, 0, 12, 60, 147, 273, 422, 567, 677, 726, 702, 611, 473, 320, 182, 80, 20, 0, 0, 3, 9, 11, 9, 7, 7, 9, 11, 13, 13, 13, 13, 14, 17, 21, 25, 27, 27, 24, 18, 10, 3, 0, 0, 0, 3, 4, 1, 0, 0, 17, 61, 135, 236, 349, 452, 522, 543, 508, 426, 317, 203, 107, 41, 6, 0, 0, 4, 6, 4, 1, 0, 0, 0, 2, 4, 7, 8, 11, 14, 17, 22, 26, 30, 32, 31, 27, 20, 12, 5, 1, 0, 2, 3, 2, 0, 0, 9, 40, 97, 179, 274, 366, 433, 460, 440, 378, 287, 189, 103, 42, 8, 0, 0, 3, 5, 4, 1, 0, 0, 0, 2, 3, 2, 0, 0, 0, 0, 2, 4, 2, 0, 0, 5, 31, 79, 150, 235, 319, 383, 412, 400, 348, 269, 182, 103, 44, 10, 0, 0, 2, 4, 4, 1, 0, 0, 0, 2, 4, 4, 3, 0, 0, 0, 0, 3, 6, 5, 0, 0, 0, 28, 90, 188, 314, 444, 552, 611, 607, 541, 429, 299, 177, 82, 24, 0, 0, 3, 12, 20, 25, 29, 33, 35, 34, 31, 25, 19, 13, 10, 9, 10, 11, 13, 14, 13, 12, 10, 7, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 10, 13, 16, 18, 20, 19, 17, 14, 10, 6, 3, 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, 1, 2, 3, 3, 1, 0, 0, 0, 1, 6, 8, 4, 0, 0, 12, 63, 157, 290, 444, 588, 691, 726, 686, 581, 435, 283, 152, 59, 10, 0, 0, 9, 18, 24, 26, 28, 30, 30, 29, 25, 20, 14, 9, 6, 6, 7, 8, 9, 8, 6, 4, 3, 4, 6, 9, 13, 16, 18, 17, 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, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 3, 5, 7, 7, 6, 6, 6, 8, 11, 12, 9, 2, 0, 1, 30, 93, 193, 321, 457, 573, 642, 648, 587, 476, 339, 207, 101, 33, 0, 0, 0, 5, 10, 11, 7, 0, 0, 0, 25, 88, 193, 336, 496, 641, 736, 755, 689, 551, 375, 206, 90, 58, 121, 264, 451, 636, 771, 823, 779, 651, 470, 280, 129, 51, 66, 168, 331, 515, 674, 768, 778, 702, 563, 395, 235, 110, 33, 0, 0, 2, 10, 13, 12, 9, 7, 8, 10, 12, 13, 14, 15, 19, 23, 28, 32, 34, 33, 30, 26, 22, 18, 16, 17, 19, 23, 27, 31, 33, 33, 32, 28, 22, 15, 8, 3, 1, 4, 8, 11, 9, 1, 0, 2, 43, 133, 272, 448, 630, 778, 857, 846, 748, 586, 399, 227, 99, 24, 0, 0, 4, 11, 12, 9, 8, 9, 13, 16, 17, 16, 14, 12, 12, 13, 13, 8, 2, 0, 8, 38, 95, 179, 279, 376, 449, 480, 460, 394, 296, 191, 100, 37, 4, 0, 0, 4, 7, 6, 3, 2, 3, 5, 6, 6, 3, 0, 0, 0, 2, 5, 6, 2, 0, 0, 16, 63, 144, 251, 369, 471, 535, 543, 494, 400, 284, 172, 83, 27, 0, 0, 0, 2, 5, 6, 4, 1, 0, 0, 7, 43, 111, 210, 328, 441, 523, 553, 522, 440, 326, 207, 108, 41, 6, 0, 0, 0, 3, 5, 6, 5, 0, 0, 0, 22, 87, 200, 355, 526, 678, 773, 786, 714, 574, 403, 238, 109, 30, 0, 0, 3, 10, 12, 9, 5, 5, 8, 13, 16, 17, 16, 15, 16, 19, 24, 28, 31, 31, 29, 24, 19, 15, 13, 12, 14, 16, 19, 21, 23, 24, 23, 20, 15, 8, 2, 0, 0, 1, 6, 8, 5, 0, 0, 14, 66, 159, 289, 434, 564, 645, 655, 588, 461, 308, 170, 87, 81, 157, 294, 456, 600, 686, 691, 613, 474, 311, 168, 83, 78, 152, 281, 428, 551, 617, 608, 530, 406, 267, 144, 57, 10, 0, 0, 6, 9, 7, 2, 0, 0, 0, 3, 6, 7, 6, 5, 3, 2, 1, 0, 0, 0, 0, 0, 1, 3, 5, 9, 12, 15, 17, 17, 15, 12, 8, 5, 3, 2, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 5, 6, 6, 4, 3, 1, 0, 0, 0, 2, 3, 5, 6, 8, 8, 8, 6, 4, 0, 0, 0, 0, 3, 8, 8, 3, 0, 0, 23, 86, 191, 330, 478, 603, 672, 665, 580, 439, 278, 141, 65, 72, 161, 309, 475, 615, 692, 684, 594, 444, 274, 128, 41, 37, 114, 251, 411, 552, 637, 647, 581, 459, 314, 179, 77, 18, 0, 0, 6, 14, 15, 13, 8, 5, 4, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 4, 6, 9, 11, 13, 15, 16, 18, 19, 19, 18, 15, 12, 9, 6, 4, 3, 4, 4, 4, 4, 4, 4, 3, 3, 1, 0, 0, 0, 0, 5, 8, 7, 1, 0, 0, 34, 109, 227, 375, 525, 642, 694, 666, 561, 405, 238, 105, 41, 64, 169, 328, 498, 635, 703, 686, 592, 448, 290, 152, 57, 7, 0, 0, 11, 17, 17, 13, 8, 5, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 8, 10, 10, 10, 8, 5, 3, 0, 0, 0, 0, 2, 4, 5, 6, 6, 5, 3, 2, 1, 0, 1, 2, 4, 5, 7, 7, 7, 6, 5, 2, 0, 0, 0, 0, 5, 8, 6, 0, 0, 0, 30, 97, 199, 324, 446, 536, 570, 539, 451, 330, 205, 102, 34, 0, 0, 0, 4, 9, 10, 8, 1, 0, 0, 14, 68, 164, 294, 439, 566, 642, 647, 579, 455, 308, 172, 71, 14, 0, 0, 5, 10, 9, 4, 0, 0, 0, 0, 2, 3, 4, 5, 6, 7, 8, 9, 9, 8, 7, 5, 3, 0, 0, 0, 0, 3, 6, 6, 1, 0, 0, 20, 71, 154, 260, 370, 458, 501, 488, 422, 321, 209, 111, 42, 6, 0, 0, 4, 7, 5, 1, 0, 0, 2, 6, 9, 12, 13, 13, 15, 17, 20, 24, 27, 31, 32, 32, 28, 22, 15, 8, 6, 7, 12, 15, 12, 3, 0, 0, 36, 114, 237, 389, 542, 658, 707, 670, 555, 389, 216, 81, 22, 53, 166, 330, 501, 633, 693, 668, 569, 425, 272, 142, 53, 7, 0, 0, 0, 7, 11, 12, 8, 0, 0, 0, 46, 153, 321, 529, 736, 891, 951, 899, 750, 544, 332, 159, 47, 0, 0, 3, 17, 22, 20, 15, 12, 12, 13, 13, 12, 9, 5, 3, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 4, 6, 7, 4, 0, 0, 0, 2, 9, 13, 8, 0, 0, 9, 75, 200, 376, 575, 751, 860, 870, 780, 614, 416, 233, 96, 19, 0, 0, 8, 17, 17, 13, 8, 6, 8, 10, 12, 12, 10, 7, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 1, 2, 4, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 4, 6, 8, 10, 11, 13, 15, 18, 22, 26, 29, 30, 27, 21, 13, 4, 0, 0, 4, 9, 10, 3, 0, 0, 28, 105, 232, 396, 565, 701, 767, 745, 641, 483, 310, 160, 56, 3, 0, 0, 11, 17, 16, 12, 8, 7, 7, 7, 7, 5, 3, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 4, 6, 8, 10, 11, 11, 10, 8, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 7, 9, 10, 12, 16, 20, 24, 27, 29, 28, 25, 21, 16, 12, 10, 10, 12, 16, 20, 24, 26, 25, 21, 14, 7, 1, 0, 0, 4, 6, 4, 0, 0, 6, 39, 103, 193, 294, 383, 437, 441, 393, 307, 205, 112, 44, 7, 0, 0, 4, 7, 6, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 6, 8, 11, 15, 19, 21, 22, 20, 15, 9, 1, 0, 0, 0, 8, 13, 11, 1, 0, 0, 42, 138, 286, 465, 635, 754, 787, 725, 587, 409, 237, 103, 24, 0, 0, 5, 13, 13, 8, 3, 1, 4, 8, 11, 12, 11, 9, 9, 11, 14, 17, 19, 20, 19, 15, 11, 7, 3, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 3, 5, 7, 8, 8, 7, 6, 6, 7, 10, 14, 19, 24, 27, 28, 28, 25, 22, 18, 15, 13, 12, 13, 16, 20, 24, 26, 25, 20, 12, 3, 0, 0, 2, 9, 12, 8, 0, 0, 11, 74, 192, 355, 534, 688, 776, 772, 679, 521, 341, 181, 67, 7, 0, 0, 9, 14, 11, 4, 0, 0, 0, 1, 3, 3, 2, 2, 2, 3, 4, 5, 5, 4, 2, 0, 0, 0, 0, 1, 3, 5, 6, 5, 4, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 4, 5, 4, 2, 2, 4, 9, 14, 15, 9, 0, 0, 9, 61, 157, 293, 445, 580, 661, 663, 581, 433, 258, 102, 9, 5, 96, 258, 450, 622, 728, 743, 666, 522, 350, 192, 76, 12, 0, 0, 8, 14, 12, 5, 0, 0, 0, 0, 3, 6, 8, 11, 13, 16, 17, 18, 17, 16, 13, 10, 7, 5, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 3, 3, 1, 0, 0, 0, 1, 7, 11, 9, 0, 0, 0, 45, 137, 274, 435, 582, 679, 696, 629, 498, 337, 187, 75, 12, 0, 0, 7, 12, 10, 4, 0, 0, 0, 1, 4, 6, 7, 8, 9, 10, 11, 12, 11, 9, 6, 5, 4, 3, 2, 0, 0, 0, 0, 4, 9, 10, 4, 0, 0, 18, 82, 190, 331, 475, 586, 635, 605, 506, 367, 223, 106, 31, 0, 0, 0, 5, 10, 11, 9, 3, 0, 0, 4, 54, 152, 292, 453, 596, 683, 688, 610, 470, 308, 162, 58, 4, 0, 0, 8, 13, 9, 2, 0, 0, 0, 1, 3, 4, 4, 4, 4, 5, 6, 7, 6, 5, 3, 1, 0, 0, 1, 3, 6, 8, 9, 9, 8, 6, 4, 3, 2, 2, 3, 4, 5, 6, 7, 8, 8, 7, 5, 2, 0, 0, 0, 2, 7, 9, 6, 0, 0, 4, 46, 125, 237, 362, 470, 532, 529, 463, 352, 226, 116, 39, 1, 0, 0, 7, 10, 7, 1, 0, 0, 0, 5, 10, 12, 12, 10, 7, 6, 8, 11, 13, 11, 4, 0, 0, 18, 73, 161, 273, 385, 470, 502, 473, 391, 278, 164, 73, 17, 0, 0, 3, 9, 9, 5, 0, 0, 0, 0, 2, 5, 8, 10, 13, 16, 18, 20, 22, 23, 24, 25, 24, 23, 21, 17, 14, 12, 11, 12, 14, 17, 20, 20, 18, 15, 10, 5, 1, 0, 0, 2, 4, 5, 5, 4, 2, 0, 0, 0, 0, 1, 3, 5, 6, 6, 5, 4, 2, 0, 0, 0, 0, 2, 3, 4, 5, 5, 5, 4, 3, 3, 4, 5, 6, 8, 9, 10, 9, 7, 4, 2, 0, 0, 2, 5, 8, 11, 12, 12, 9, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 0, 0, 0, 0, 4, 11, 12, 6, 0, 0, 19, 87, 205, 359, 520, 646, 702, 668, 548, 375, 193, 52, 0, 27, 153, 335, 526, 675, 742, 708, 581, 396, 204, 56, 0, 39, 178, 377, 584, 743, 812, 772, 633, 432, 221, 58, 0, 30, 179, 398, 630, 814, 902, 873, 739, 542, 333, 159, 46, 0, 0, 1, 18, 25, 20, 6, 0, 0, 7, 62, 157, 283, 416, 522, 572, 549, 461, 332, 198, 89, 21, 0, 0, 4, 11, 11, 6, 0, 0, 0, 1, 5, 6, 5, 1, 0, 0, 0, 4, 9, 10, 4, 0, 0, 17, 79, 184, 320, 458, 564, 606, 573, 473, 337, 198, 88, 21, 0, 0, 4, 10, 10, 5, 0, 0, 0, 0, 2, 3, 3, 3, 2, 3, 4, 5, 7, 9, 11, 11, 9, 5, 0, 0, 0, 2, 11, 15, 11, 0, 0, 4, 60, 171, 333, 520, 688, 793, 800, 703, 524, 309, 116, 0, 0, 93, 285, 517, 728, 862, 887, 800, 629, 423, 232, 91, 14, 0, 0, 12, 21, 22, 17, 15, 17, 23, 29, 31, 28, 21, 13, 8, 8, 11, 15, 13, 6, 0, 0, 18, 77, 175, 299, 425, 519, 555, 522, 430, 304, 178, 78, 17, 0, 0, 4, 10, 10, 5, 0, 0, 0, 1, 5, 7, 7, 4, 0, 0, 0, 0, 9, 16, 14, 2, 0, 0, 45, 157, 328, 533, 724, 849, 873, 787, 618, 412, 222, 83, 9, 0, 0, 12, 21, 21, 16, 12, 12, 16, 19, 19, 16, 10, 5, 2, 2, 5, 7, 9, 9, 7, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 7, 10, 13, 16, 18, 19, 20, 19, 17, 15, 13, 10, 8, 6, 5, 5, 6, 7, 9, 11, 12, 13, 12, 10, 6, 0, 0, 0, 0, 9, 18, 17, 5, 0, 0, 39, 154, 336, 561, 777, 928, 969, 888, 708, 482, 267, 106, 16, 0, 0, 12, 22, 21, 14, 8, 7, 11, 16, 18, 17, 11, 4, 0, 0, 0, 4, 10, 11, 5, 0, 0, 16, 78, 184, 320, 459, 564, 606, 571, 470, 332, 194, 84, 18, 0, 0, 5, 11, 11, 5, 0, 0, 0, 0, 4, 7, 7, 4, 0, 0, 0, 0, 8, 14, 13, 3, 0, 0, 35, 130, 279, 462, 636, 756, 787, 718, 571, 386, 212, 82, 11, 0, 0, 11, 20, 20, 15, 11, 11, 14, 19, 22, 23, 21, 19, 16, 15, 14, 14, 15, 15, 16, 16, 16, 16, 15, 14, 13, 11, 10, 9, 10, 12, 15, 17, 17, 14, 9, 4, 2, 5, 11, 15, 12, 1, 0, 0, 46, 149, 304, 487, 656, 765, 784, 705, 552, 367, 197, 73, 7, 0, 0, 9, 15, 12, 4, 0, 0, 0, 1, 4, 6, 7, 8, 9, 11, 12, 13, 11, 8, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 4, 5, 6, 5, 4, 2, 0, 0, 0, 0, 2, 3, 5, 7, 8, 9, 10, 10, 9, 8, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 4, 1, 0, 0, 0, 3, 11, 15, 9, 0, 0, 9, 77, 205, 383, 577, 738, 821, 802, 685, 506, 312, 148, 42, 0, 0, 3, 14, 16, 9, 0, 0, 0, 6, 13, 17, 17, 14, 10, 8, 8, 11, 16, 21, 24, 25, 24, 21, 17, 13, 10, 9, 10, 11, 12, 12, 12, 10, 8, 6, 5, 4, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 8, 9, 11, 12, 13, 14, 14, 13, 11, 8, 3, 0, 0, 0, 4, 13, 18, 12, 0, 0, 5, 76, 212, 404, 616, 794, 890, 874, 752, 559, 348, 169, 50, 0, 0, 2, 16, 20, 14, 6, 2, 5, 13, 21, 24, 22, 14, 4, 0, 0, 0, 8, 16, 16, 5, 0, 0, 33, 134, 295, 494, 685, 817, 851, 776, 617, 417, 228, 88, 11, 0, 0, 11, 19, 17, 9, 1, 0, 0, 2, 4, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 4, 5, 6, 8, 9, 10, 8, 5, 0, 0, 0, 0, 8, 13, 10, 1, 0, 0, 47, 144, 289, 460, 618, 720, 736, 655, 498, 303, 122, 4, 0, 65, 238, 461, 678, 833, 887, 825, 662, 441, 218, 48, 0, 12, 158, 378, 618, 817, 924, 911, 786, 587, 369, 181, 56, 0, 0, 3, 17, 21, 17, 9, 6, 8, 12, 15, 12, 7, 2, 2, 7, 14, 15, 8, 0, 0, 19, 97, 232, 409, 590, 730, 788, 748, 619, 441, 259, 114, 26, 0, 0, 5, 15, 14, 7, 0, 0, 0, 0, 2, 4, 4, 3, 3, 4, 5, 7, 8, 8, 7, 6, 4, 3, 2, 2, 2, 4, 5, 6, 6, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 5, 6, 6, 7, 8, 10, 13, 15, 17, 18, 17, 15, 11, 8, 4, 3, 3, 5, 9, 14, 18, 20, 19, 13, 5, 0, 0, 0, 8, 16, 16, 6, 0, 0, 32, 132, 293, 491, 681, 810, 841, 762, 599, 398, 211, 76, 5, 0, 0, 12, 19, 14, 5, 0, 0, 0, 2, 5, 5, 3, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 4, 4, 3, 2, 0, 0, 0, 0, 2, 5, 7, 10, 11, 11, 10, 9, 7, 7, 8, 10, 13, 16, 17, 18, 16, 14, 11, 8, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 5, 6, 7, 8, 7, 6, 5, 4, 4, 5, 6, 8, 9, 9, 8, 7, 5, 3, 1, 0, 0, 0, 0, 0, 2, 4, 5, 3, 0, 0, 0, 0, 7, 15, 17, 8, 0, 0, 23, 117, 277, 484, 694, 852, 911, 853, 696, 486, 279, 119, 26, 0, 0, 2, 7, 5, 2, 3, 7, 6, 0, 0, 0, 58, 183, 370, 589, 789, 912, 922, 816, 625, 403, 205, 67, 0, 0, 0, 17, 23, 19, 10, 4, 5, 11, 17, 18, 13, 4, 0, 0, 1, 12, 19, 15, 0, 0, 0, 65, 202, 402, 629, 827, 942, 937, 814, 611, 383, 186, 55, 0, 0, 2, 19, 24, 18, 9, 4, 5, 10, 14, 15, 12, 7, 3, 2, 2, 4, 6, 6, 6, 5, 5, 6, 5, 1, 0, 0, 0, 3, 14, 19, 14, 0, 0, 4, 78, 222, 429, 659, 857, 968, 956, 822, 598, 344, 123, 0, 0, 95, 311, 575, 821, 985, 1024, 931, 734, 492, 265, 100, 11, 0, 0, 14, 22, 16, 6, 0, 0, 4, 10, 11, 7, 1, 0, 2, 8, 12, 8, 0, 0, 9, 70, 183, 337, 504, 639, 706, 683, 577, 420, 254, 117, 30, 0, 0, 4, 13, 14, 8, 0, 0, 0, 0, 5, 7, 7, 3, 0, 0, 0, 1, 9, 13, 10, 0, 0, 0, 48, 145, 286, 446, 585, 664, 661, 575, 434, 276, 139, 46, 0, 0, 0, 2, 10, 14, 15, 10, 0, 0, 0, 52, 170, 353, 575, 787, 929, 956, 854, 645, 386, 150, 4, 0, 104, 316, 562, 771, 883, 872, 747, 550, 338, 160, 46, 0, 0, 5, 18, 19, 11, 1, 0, 0, 0, 3, 5, 6, 5, 4, 4, 4, 4, 4, 3, 2, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 1, 3, 5, 6, 5, 3, 1, 1, 6, 13, 16, 11, 0, 0, 2, 57, 167, 325, 501, 652, 737, 730, 633, 474, 298, 146, 44, 0, 0, 1, 12, 15, 9, 1, 0, 0, 0, 3, 8, 10, 8, 4, 0, 0, 0, 2, 12, 18, 15, 1, 0, 0, 64, 197, 395, 624, 829, 955, 963, 848, 638, 388, 159, 7, 0, 41, 219, 455, 692, 870, 943, 892, 737, 522, 305, 133, 29, 0, 0, 9, 21, 20, 11, 2, 0, 2, 9, 15, 19, 19, 17, 14, 11, 10, 9, 8, 8, 7, 7, 7, 7, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 8, 3, 0, 0, 0, 2, 11, 16, 12, 0, 0, 0, 59, 177, 349, 543, 711, 808, 803, 698, 525, 331, 163, 50, 0, 0, 1, 13, 16, 10, 2, 0, 0, 0, 2, 5, 5, 4, 3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 8, 10, 11, 11, 10, 8, 6, 4, 3, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 4, 5, 4, 0, 0, 0, 0, 6, 14, 15, 6, 0, 0, 30, 120, 268, 457, 646, 785, 832, 766, 602, 384, 173, 30, 0, 82, 265, 494, 704, 836, 853, 747, 549, 314, 110, 0, 18, 167, 408, 675, 896, 1008, 982, 825, 581, 315, 96, 0, 1, 148, 385, 649, 869, 986, 973, 838, 624, 390, 190, 58, 0, 0, 4, 19, 22, 14, 4, 0, 0, 5, 12, 15, 13, 6, 0, 0, 0, 3, 13, 17, 10, 0, 0, 12, 88, 229, 421, 627, 797, 882, 857, 729, 536, 330, 159, 48, 0, 0, 0, 7, 5, 0, 0, 4, 10, 9, 0, 0, 7, 84, 236, 455, 701, 913, 1031, 1021, 885, 663, 416, 204, 62, 0, 0, 2, 18, 21, 14, 2, 0, 0, 1, 7, 10, 10, 6, 2, 0, 0, 1, 4, 7, 10, 12, 13, 12, 11, 8, 6, 5, 6, 9, 13, 18, 20, 18, 11, 2, 0, 0, 2, 13, 18, 13, 0, 0, 6, 83, 232, 440, 668, 860, 960, 940, 805, 594, 366, 174, 49, 0, 0, 4, 18, 21, 14, 5, 0, 0, 2, 6, 7, 6, 3, 0, 0, 0, 0, 1, 3, 4, 3, 1, 0, 0, 0, 1, 8, 13, 10, 1, 0, 3, 51, 151, 300, 473, 631, 730, 738, 645, 476, 277, 106, 17, 38, 168, 371, 591, 764, 840, 796, 645, 429, 213, 62, 22, 111, 308, 559, 794, 946, 970, 855, 632, 364, 129, 0, 14, 176, 442, 737, 976, 1094, 1062, 897, 651, 393, 182, 49, 0, 0, 7, 21, 22, 12, 0, 0, 0, 0, 4, 7, 6, 3, 1, 0, 0, 1, 2, 3, 3, 4, 6, 7, 8, 5, 1, 0, 0, 0, 7, 14, 14, 5, 0, 0, 34, 127, 277, 460, 634, 749, 769, 683, 516, 319, 152, 61, 68, 158, 295, 430, 522, 548, 505, 407, 281, 157, 64, 28, 66, 181, 354, 551, 722, 821, 820, 718, 546, 351, 180, 61, 2, 0, 0, 5, 11, 13, 11, 7, 0, 0, 0, 29, 122, 276, 477, 684, 843, 909, 863, 717, 514, 308, 142, 39, 0, 0, 0, 6, 11, 13, 12, 7, 0, 0, 0, 52, 174, 362, 588, 801, 942, 970, 875, 686, 456, 243, 89, 7, 0, 0, 13, 20, 15, 5, 0, 0, 3, 10, 15, 13, 7, 0, 0, 0, 4, 14, 17, 10, 0, 0, 16, 100, 251, 455, 672, 847, 931, 901, 764, 562, 348, 170, 54, 0, 0, 0, 3, 6, 6, 8, 9, 4, 0, 0, 14, 101, 265, 497, 753, 973, 1094, 1081, 936, 701, 441, 217, 67, 0, 0, 1, 18, 22, 14, 2, 0, 0, 1, 8, 10, 9, 5, 1, 0, 1, 4, 8, 11, 11, 10, 7, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 5, 6, 7, 8, 10, 11, 11, 11, 10, 8, 6, 5, 5, 6, 8, 10, 11, 12, 12, 11, 9, 8, 7, 7, 7, 7, 6, 5, 4, 3, 2, 2, 2, 4, 5, 7, 8, 8, 8, 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, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 3, 3, 2, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 3, 4, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 6, 6, 5, 5, 6, 8, 10, 12, 13, 12, 11, 8, 5, 3, 1, 0, 0, 1, 1, 1, 1, 2, 3, 3, 4, 2, 0, 0, 0, 0, 6, 12, 11, 2, 0, 0, 33, 118, 252, 418, 580, 695, 733, 681, 554, 388, 225, 98, 22, 0, 0, 5, 12, 11, 5, 0, 0, 0, 1, 4, 5, 5, 3, 3, 4, 6, 7, 9, 9, 9, 11, 13, 15, 15, 11, 6, 0, 0, 2, 10, 15, 12, 0, 0, 1, 62, 189, 381, 608, 823, 969, 1007, 924, 744, 516, 295, 126, 27, 0, 0, 8, 18, 17, 10, 3, 2, 7, 15, 21, 24, 23, 20, 16, 14, 13, 13, 12, 12, 12, 12, 12, 13, 14, 14, 14, 12, 10, 7, 5, 4, 5, 7, 10, 12, 11, 7, 1, 0, 0, 0, 9, 17, 16, 3, 0, 0, 51, 176, 374, 617, 854, 1024, 1080, 1007, 823, 581, 341, 152, 37, 0, 0, 7, 19, 18, 10, 0, 0, 0, 3, 10, 13, 13, 11, 8, 6, 6, 6, 7, 9, 11, 13, 14, 15, 16, 16, 15, 13, 12, 11, 10, 10, 10, 11, 11, 11, 10, 8, 6, 4, 2, 1, 2, 5, 9, 12, 13, 9, 3, 0, 0, 0, 6, 13, 12, 2, 0, 0, 45, 152, 320, 529, 734, 884, 938, 879, 725, 517, 307, 137, 31, 0, 0, 8, 25, 28, 15, 0, 0, 9, 79, 203, 371, 552, 706, 792, 787, 691, 531, 348, 184, 67, 6, 0, 0, 9, 14, 10, 2, 0, 0, 0, 6, 9, 8, 4, 0, 0, 0, 4, 9, 9, 2, 0, 0, 32, 111, 237, 393, 550, 667, 714, 676, 563, 408, 247, 116, 33, 0, 0, 2, 11, 12, 6, 0, 0, 0, 1, 7, 11, 13, 15, 15, 15, 15, 14, 12, 11, 9, 7, 7, 7, 8, 9, 9, 9, 8, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 4, 5, 6, 7, 8, 9, 9, 9, 9, 8, 7, 6, 5, 7, 10, 14, 18, 18, 15, 8, 0, 0, 0, 4, 12, 14, 5, 0, 0, 37, 142, 318, 547, 785, 978, 1073, 1044, 898, 675, 431, 221, 76, 4, 0, 0, 12, 17, 11, 2, 0, 0, 0, 6, 10, 10, 7, 3, 0, 0, 0, 1, 3, 6, 8, 9, 10, 10, 9, 7, 4, 3, 4, 8, 14, 20, 22, 20, 13, 4, 0, 0, 4, 10, 11, 3, 0, 0, 36, 131, 288, 489, 696, 862, 941, 913, 785, 590, 378, 194, 68, 5, 0, 0, 10, 15, 12, 5, 0, 0, 0, 0, 0, 1, 4, 7, 8, 4, 0, 0, 14, 70, 170, 308, 463, 599, 682, 690, 620, 491, 337, 192, 84, 22, 0, 0, 0, 1, 1, 2, 4, 5, 1, 0, 0, 27, 108, 251, 447, 663, 854, 972, 982, 879, 685, 445, 216, 52, 0, 47, 203, 421, 648, 827, 915, 894, 772, 586, 381, 202, 77, 11, 0, 0, 9, 14, 9, 2, 0, 0, 5, 16, 25, 30, 28, 20, 10, 0, 0, 0, 5, 12, 12, 2, 0, 0, 46, 157, 334, 558, 787, 966, 1050, 1014, 868, 651, 415, 213, 74, 5, 0, 0, 12, 16, 10, 2, 0, 0, 8, 16, 21, 21, 17, 12, 7, 5, 4, 4, 5, 5, 5, 6, 7, 7, 8, 8, 8, 8, 9, 10, 10, 8, 4, 0, 0, 0, 1, 6, 10, 6, 0, 0, 11, 68, 177, 336, 522, 697, 819, 856, 797, 659, 477, 293, 144, 47, 0, 0, 0, 3, 9, 11, 10, 3, 0, 0, 8, 70, 195, 382, 609, 831, 997, 1062, 1008, 848, 625, 391, 195, 64, 1, 0, 0, 12, 15, 10, 1, 0, 0, 0, 2, 5, 5, 3, 2, 1, 1, 4, 7, 10, 13, 13, 11, 6, 1, 0, 0, 1, 7, 8, 4, 0, 0, 19, 84, 197, 353, 526, 679, 776, 789, 717, 577, 405, 240, 111, 31, 0, 0, 0, 7, 13, 13, 8, 0, 0, 0, 33, 118, 257, 440, 636, 802, 897, 896, 799, 630, 431, 246, 107, 26, 0, 0, 4, 11, 10, 4, 0, 0, 0, 1, 5, 6, 5, 3, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 3, 5, 6, 7, 9, 11, 12, 13, 13, 12, 9, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 8, 10, 11, 10, 8, 5, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 2, 0, 0, 0, 0, 2, 6, 7, 3, 0, 0, 18, 76, 180, 322, 483, 629, 725, 748, 689, 564, 404, 245, 117, 35, 0, 0, 1, 9, 10, 6, 0, 0, 0, 0, 4, 7, 8, 6, 3, 0, 0, 0, 1, 6, 8, 5, 0, 0, 15, 73, 182, 340, 525, 705, 838, 893, 852, 723, 535, 330, 156, 51, 38, 119, 271, 458, 635, 760, 805, 762, 643, 480, 308, 163, 62, 10, 0, 0, 7, 9, 5, 0, 0, 0, 8, 15, 19, 18, 11, 3, 0, 0, 3, 7, 6, 0, 0, 5, 49, 141, 284, 463, 648, 799, 881, 873, 775, 612, 422, 245, 110, 29, 0, 0, 3, 9, 9, 4, 0, 0, 1, 5, 8, 8, 6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 9, 12, 13, 11, 6, 1, 0, 0, 2, 4, 4, 0, 0, 1, 29, 89, 186, 311, 445, 559, 627, 633, 575, 466, 332, 201, 97, 31, 0, 0, 0, 6, 7, 3, 0, 0, 0, 1, 4, 4, 2, 0, 0, 0, 2, 4, 4, 0, 0, 2, 32, 98, 204, 343, 495, 629, 716, 735, 679, 562, 411, 259, 134, 50, 7, 0, 0, 0, 2, 3, 3, 2, 0, 0, 0, 17, 74, 182, 340, 532, 726, 881, 961, 947, 842, 669, 467, 277, 129, 36, 0, 0, 2, 14, 16, 8, 0, 0, 16, 77, 186, 341, 523, 703, 846, 919, 905, 805, 641, 450, 269, 127, 39, 0, 0, 0, 7, 9, 5, 2, 3, 7, 13, 17, 17, 14, 10, 5, 4, 5, 8, 10, 11, 10, 6, 2, 0, 0, 0, 2, 2, 0, 0, 6, 37, 105, 217, 372, 551, 725, 859, 921, 894, 783, 612, 419, 241, 107, 28, 0, 0, 3, 9, 9, 4, 0, 0, 0, 1, 4, 4, 4, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 5, 7, 8, 9, 10, 9, 8, 7, 5, 4, 4, 3, 3, 2, 1, 1, 1, 1, 2, 4, 5, 6, 7, 7, 6, 6, 4, 3, 2, 0, 0, 0, 0, 1, 2, 3, 2, 1, 0, 0, 0, 2, 6, 7, 3, 0, 0, 19, 80, 185, 332, 500, 659, 775, 821, 787, 680, 525, 356, 205, 92, 26, 0, 0, 2, 6, 6, 2, 0, 0, 0, 3, 6, 5, 3, 0, 0, 0, 2, 5, 4, 0, 0, 4, 37, 106, 215, 355, 504, 634, 716, 730, 674, 562, 426, 303, 230, 228, 300, 426, 570, 690, 750, 733, 644, 511, 375, 278, 245, 281, 368, 476, 569, 621, 619, 568, 483, 383, 291, 226, 200, 220, 284, 379, 485, 574, 623, 616, 551, 442, 314, 191, 94, 31, 0, 0, 0, 6, 10, 8, 2, 0, 0, 16, 67, 158, 287, 440, 592, 714, 780, 774, 697, 567, 416, 280, 193, 177, 235, 353, 501, 643, 742, 773, 728, 618, 470, 320, 206, 158, 189, 297, 457, 634, 788, 884, 900, 833, 699, 526, 348, 195, 86, 24, 0, 0, 2, 6, 5, 1, 0, 0, 0, 1, 4, 6, 7, 5, 2, 0, 0, 0, 0, 4, 5, 2, 0, 0, 15, 64, 154, 284, 442, 605, 742, 828, 844, 788, 671, 517, 354, 210, 101, 34, 3, 0, 0, 3, 4, 2, 0, 0, 0, 0, 2, 3, 2, 1, 0, 0, 0, 1, 3, 6, 8, 10, 10, 10, 9, 7, 4, 1, 0, 0, 0, 1, 3, 2, 0, 0, 1, 23, 70, 147, 252, 373, 491, 588, 644, 648, 600, 509, 392, 270, 161, 78, 25, 0, 0, 0, 5, 6, 2, 0, 0, 12, 53, 123, 220, 336, 452, 551, 615, 632, 599, 523, 417, 301, 191, 103, 41, 8, 0, 0, 3, 7, 5, 0, 0, 0, 26, 86, 184, 317, 471, 624, 751, 830, 845, 795, 688, 544, 389, 246, 132, 55, 14, 0, 0, 1, 3, 2, 0, 0, 0, 1, 3, 4, 3, 1, 0, 0, 0, 2, 2, 0, 0, 0, 11, 45, 106, 197, 310, 433, 547, 634, 680, 676, 622, 529, 412, 289, 179, 93, 37, 8, 0, 0, 1, 2, 1, 0, 0, 0, 1, 3, 4, 4, 2, 1, 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, 0, 9, 35, 81, 149, 236, 331, 423, 498, 544, 555, 528, 469, 387, 295, 204, 125, 65, 25, 5, 0, 0, 0, 1, 0, 0, 3, 21, 58, 119, 203, 304, 414, 516, 597, 643, 648, 612, 544, 461, 384, 331, 315, 341, 401, 482, 562, 622, 648, 634, 585, 513, 437, 377, 348, 357, 402, 471, 548, 612, 648, 645, 603, 532, 449, 374, 327, 321, 358, 432, 525, 618, 688, 721, 708, 652, 561, 450, 332, 223, 134, 68, 27, 6, 0, 0, 1, 4, 6, 7, 8, 9, 9, 9, 8, 6, 4, 2, 2, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 7, 8, 8, 8, 7, 5, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 30, 68, 126, 201, 289, 381, 467, 536, 579, 590, 570, 523, 460, 394, 338, 303, 296, 317, 359, 412, 463, 500, 513, 500, 461, 401, 330, 254, 181, 119, 69, 34, 12, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 13, 36, 72, 125, 192, 268, 349, 425, 489, 532, 550, 540, 504, 446, 374, 296, 219, 151, 96, 54, 27, 10, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 11, 28, 58, 101, 158, 228, 307, 389, 468, 535, 581, 601, 592, 554, 494, 419, 337, 256, 183, 122, 74, 40, 18, 6, 0, 0, 0, 0, 1, 3, 5, 7, 8, 10, 10, 10, 9, 9, 9, 10, 11, 12, 13, 13, 13, 12, 10, 9, 8, 8, 9, 9, 9, 8, 7, 5, 3, 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, 1, 5, 11, 23, 41, 65, 99, 140, 188, 241, 294, 342, 382, 409, 423, 422, 407, 380, 344, 300, 252, 202, 155, 112, 77, 50, 34, 27, 30, 41, 60, 86, 118, 156, 198, 241, 283, 322, 354, 377, 387, 385, 371, 346, 312, 272, 230, 187, 148, 112, 81, 56, 37, 25, 20, 22, 29, 42, 60, 83, 112, 146, 186, 230, 277, 323, 365, 399, 421, 432, 430, 416, 392, 360, 323, 282, 239, 197, 157, 122, 91, 67, 49, 35, 26, 19, 15, 12, 12, 15, 22, 33, 48, 67, 90, 116, 147, 181, 218, 257, 295, 332, 365, 393, 416, 435, 451, 463, 472, 478, 481, 482, 483, 483, 483, 481, 477, 469, 456, 439, 417, 392, 364, 334, 305, 277, 251, 229, 212, 201, 196, 197, 204, 216, 231, 247, 262, 273, 281, 283, 281, 275, 264, 251, 234, 214, 192, 168, 144, 120, 98, 79, 63, 49, 38, 28, 21, 15, 11, 8, 5, 4, 2, 1, 1, 0, 0, 1, 2, 3, 4, 5, 6, 6, 6, 5, 3, 2, 0, 0, 0, 1, 2, 3, 4, 5, 6, 6, 7, 8, 10, 10, 11, 11, 11, 12, 14, 17, 23, 29, 37, 46, 56, 66, 77, 89, 102, 116, 131, 147, 165, 183, 202, 220, 237, 253, 267, 281, 294, 306, 317, 327, 335, 341, 346, 351, 356, 361, 367, 371, 374, 375, 374, 372, 372, 373, 375, 378, 380, 381, 381, 379, 377, 376, 375, 375, 376, 377, 377, 377, 376, 374, 371, 367, 364, 360, 355, 349, 343, 334, 324, 313, 301, 289, 279, 269, 259, 249, 237, 223, 208, 193, 181, 171, 160, 147, 130, 114, 101, 93, 88, 85],
"peakC": [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 3, 5, 6, 7, 8, 8, 9, 11, 14, 19, 23, 28, 32, 36, 40, 44, 49, 55, 62, 69, 76, 83, 90, 96, 102, 110, 117, 125, 133, 141, 147, 153, 158, 163, 167, 171, 175, 178, 179, 180, 180, 181, 183, 187, 190, 193, 194, 192, 187, 182, 177, 173, 172, 172, 173, 175, 175, 173, 169, 164, 158, 153, 149, 147, 146, 145, 144, 142, 139, 134, 130, 125, 120, 116, 111, 106, 102, 98, 95, 93, 91, 90, 88, 86, 83, 79, 75, 71, 67, 63, 59, 56, 54, 51, 50, 48, 46, 43, 41, 40, 38, 36, 34, 31, 29, 26, 24, 23, 22, 21, 20, 19, 17, 16, 15, 14, 14, 14, 15, 14, 14, 12, 11, 9, 8, 8, 8, 8, 8, 7, 7, 6, 5, 5, 6, 7, 9, 10, 11, 11, 10, 9, 9, 9, 11, 13, 16, 19, 21, 22, 23, 24, 25, 27, 30, 33, 35, 37, 37, 37, 37, 37, 37, 39, 41, 42, 44, 44, 44, 44, 45, 46, 47, 49, 51, 53, 55, 57, 59, 62, 63, 64, 63, 62, 60, 59, 60, 62, 65, 68, 70, 72, 73, 73, 74, 74, 75, 76, 76, 76, 77, 78, 79, 80, 81, 81, 80, 79, 80, 81, 85, 89, 94, 98, 100, 101, 102, 102, 104, 106, 108, 110, 111, 112, 113, 115, 117, 119, 120, 120, 120, 119, 120, 122, 125, 129, 132, 134, 134, 134, 134, 133, 134, 134, 134, 135, 135, 135, 136, 136, 137, 138, 138, 139, 139, 140, 141, 142, 142, 142, 141, 141, 140, 141, 142, 143, 145, 145, 144, 143, 140, 138, 136, 136, 137, 138, 139, 139, 139, 138, 136, 135, 133, 132, 132, 131, 131, 130, 129, 127, 126, 125, 125, 126, 127, 128, 129, 128, 126, 124, 122, 120, 118, 118, 120, 123, 128, 138, 151, 170, 194, 220, 247, 271, 288, 297, 298, 292, 284, 274, 267, 263, 261, 262, 265, 269, 275, 283, 291, 297, 299, 293, 280, 258, 230, 198, 166, 137, 111, 90, 73, 60, 50, 42, 35, 30, 26, 23, 20, 18, 17, 15, 13, 11, 10, 9, 9, 8, 8, 7, 7, 6, 6, 6, 7, 7, 8, 8, 8, 8, 7, 6, 4, 3, 1, 1, 2, 3, 4, 6, 7, 7, 7, 6, 6, 6, 6, 5, 4, 2, 1, 1, 1, 1, 3, 4, 4, 4, 4, 3, 3, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 6, 7, 9, 10, 12, 15, 18, 22, 26, 31, 34, 39, 44, 51, 62, 75, 92, 109, 126, 141, 154, 165, 177, 189, 203, 217, 231, 242, 250, 255, 256, 255, 251, 246, 239, 230, 219, 206, 191, 177, 162, 148, 135, 121, 107, 93, 78, 65, 53, 43, 35, 29, 23, 19, 15, 13, 11, 10, 9, 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, 0, 0, 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, 10, 13, 15, 18, 21, 24, 27, 31, 37, 45, 53, 63, 74, 85, 95, 106, 115, 124, 131, 136, 140, 143, 146, 149, 152, 155, 155, 153, 149, 142, 133, 125, 118, 112, 107, 103, 99, 93, 88, 82, 77, 74, 74, 76, 79, 83, 86, 90, 93, 97, 102, 109, 116, 123, 129, 132, 134, 134, 133, 132, 130, 128, 125, 121, 114, 105, 94, 84, 75, 67, 61, 56, 51, 47, 42, 37, 31, 27, 23, 19, 17, 14, 12, 10, 8, 6, 5, 4, 5, 6, 7, 8, 8, 8, 9, 9, 10, 13, 16, 20, 24, 29, 33, 38, 43, 50, 58, 68, 80, 95, 111, 128, 144, 159, 172, 183, 192, 200, 207, 213, 219, 224, 228, 230, 230, 228, 222, 214, 202, 189, 173, 157, 143, 131, 122, 116, 113, 113, 116, 121, 127, 135, 144, 154, 165, 176, 189, 203, 219, 234, 249, 261, 271, 276, 278, 276, 273, 269, 264, 258, 252, 242, 230, 213, 194, 173, 152, 133, 116, 102, 89, 78, 67, 57, 49, 41, 35, 30, 26, 22, 18, 14, 10, 8, 6, 6, 7, 8, 10, 10, 10, 8, 6, 4, 3, 2, 3, 4, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 2, 1, 1, 1, 1, 2, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 23, 28, 33, 38, 42, 47, 53, 59, 65, 72, 78, 84, 88, 90, 92, 94, 95, 96, 97, 96, 93, 88, 81, 73, 66, 59, 54, 49, 45, 41, 36, 31, 25, 21, 17, 14, 12, 11, 9, 7, 5, 3, 2, 3, 3, 4, 5, 4, 4, 3, 3, 3, 3, 3, 2, 1, 0, 0, 0, 1, 2, 4, 4, 4, 4, 3, 2, 2, 2, 3, 5, 7, 9, 10, 10, 9, 7, 5, 3, 2, 3, 4, 6, 8, 10, 11, 12, 13, 14, 16, 19, 23, 29, 37, 45, 54, 64, 74, 85, 97, 109, 122, 135, 148, 160, 171, 182, 191, 199, 204, 207, 206, 202, 195, 185, 174, 160, 146, 132, 117, 104, 91, 79, 68, 59, 51, 43, 37, 31, 25, 20, 16, 13, 11, 9, 8, 6, 5, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 3, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 4, 5, 5, 4, 4, 5, 6, 9, 13, 18, 23, 27, 31, 36, 42, 49, 59, 70, 81, 93, 105, 116, 128, 138, 148, 155, 160, 162, 161, 158, 154, 149, 143, 137, 130, 122, 112, 101, 89, 77, 65, 54, 45, 37, 31, 26, 22, 18, 15, 13, 11, 9, 9, 8, 7, 6, 5, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 3, 5, 7, 10, 13, 18, 24, 33, 44, 57, 73, 91, 110, 130, 149, 166, 183, 200, 216, 231, 246, 259, 269, 275, 278, 277, 272, 264, 252, 235, 215, 192, 168, 145, 125, 108, 95, 83, 71, 59, 47, 36, 27, 20, 16, 15, 14, 13, 11, 9, 6, 4, 2, 2, 2, 2, 3, 3, 4, 4, 4, 3, 2, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 3, 3, 3, 4, 3, 3, 2, 2, 2, 2, 4, 5, 6, 6, 6, 5, 4, 3, 3, 2, 2, 2, 2, 3, 4, 5, 6, 6, 5, 4, 2, 1, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 7, 11, 16, 22, 29, 37, 46, 57, 70, 84, 100, 118, 137, 156, 174, 190, 204, 215, 223, 229, 232, 233, 233, 231, 227, 219, 206, 190, 170, 150, 130, 112, 96, 84, 73, 63, 53, 44, 34, 26, 19, 14, 10, 8, 7, 8, 9, 11, 14, 17, 22, 27, 34, 43, 54, 67, 82, 100, 118, 137, 156, 175, 192, 209, 223, 235, 245, 251, 253, 250, 242, 230, 216, 200, 184, 169, 153, 138, 124, 111, 101, 94, 92, 95, 102, 112, 125, 140, 158, 178, 200, 223, 247, 272, 295, 315, 332, 343, 347, 344, 334, 320, 302, 282, 262, 240, 218, 196, 173, 150, 127, 106, 87, 70, 56, 44, 34, 27, 22, 19, 17, 16, 14, 13, 11, 9, 8, 8, 7, 8, 8, 8, 7, 7, 6, 6, 7, 9, 11, 13, 16, 18, 21, 24, 29, 35, 43, 54, 67, 82, 99, 117, 136, 155, 172, 187, 200, 211, 218, 225, 230, 235, 241, 245, 248, 248, 245, 240, 234, 228, 226, 226, 227, 229, 229, 226, 219, 208, 195, 181, 168, 155, 143, 132, 120, 107, 93, 79, 65, 52, 41, 33, 27, 23, 20, 18, 17, 15, 14, 12, 10, 8, 7, 6, 5, 5, 4, 4, 4, 4, 4, 3, 2, 2, 1, 1, 2, 3, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 7, 12, 19, 28, 37, 49, 62, 79, 98, 121, 148, 177, 207, 236, 263, 286, 306, 321, 332, 340, 344, 344, 338, 326, 309, 286, 261, 234, 207, 182, 158, 134, 112, 90, 72, 56, 44, 36, 31, 27, 23, 20, 17, 14, 12, 10, 9, 8, 8, 7, 7, 6, 5, 4, 3, 4, 5, 6, 7, 9, 9, 8, 7, 5, 4, 5, 5, 7, 8, 8, 7, 6, 4, 3, 2, 2, 3, 4, 5, 5, 5, 5, 4, 3, 3, 3, 3, 4, 4, 4, 3, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 8, 8, 8, 7, 6, 5, 4, 3, 3, 4, 5, 6, 6, 7, 6, 6, 5, 4, 4, 4, 4, 4, 5, 6, 9, 12, 17, 23, 30, 37, 47, 58, 72, 89, 111, 136, 163, 193, 222, 250, 274, 294, 310, 320, 326, 328, 326, 319, 309, 293, 273, 248, 220, 191, 162, 136, 113, 94, 76, 61, 48, 36, 27, 20, 16, 13, 12, 12, 12, 12, 11, 10, 8, 7, 6, 5, 4, 4, 4, 4, 3, 3, 2, 2, 2, 3, 4, 4, 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, 5, 10, 18, 27, 37, 47, 57, 68, 79, 90, 102, 113, 124, 133, 141, 145, 147, 146, 142, 135, 127, 117, 105, 92, 79, 65, 53, 42, 33, 26, 21, 18, 15, 13, 11, 10, 10, 10, 11, 11, 11, 11, 10, 10, 11, 15, 22, 31, 43, 57, 70, 83, 95, 106, 116, 126, 137, 150, 162, 174, 183, 187, 186, 180, 168, 154, 139, 123, 108, 93, 80, 67, 56, 47, 38, 32, 26, 21, 17, 14, 11, 9, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 6, 6, 6, 5, 6, 6, 7, 7, 7, 7, 6, 5, 4, 3, 4, 5, 6, 6, 7, 6, 6, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 4, 3, 2, 1, 1, 2, 3, 6, 10, 15, 22, 32, 42, 55, 69, 85, 103, 123, 145, 166, 187, 206, 221, 231, 236, 235, 230, 221, 209, 195, 179, 163, 145, 128, 111, 95, 81, 70, 62, 57, 57, 59, 66, 76, 89, 105, 122, 140, 159, 177, 195, 211, 224, 233, 237, 235, 228, 216, 200, 182, 163, 144, 127, 111, 97, 84, 73, 65, 59, 57, 59, 64, 73, 86, 101, 118, 136, 156, 174, 191, 205, 215, 220, 220, 217, 211, 203, 192, 178, 161, 142, 123, 106, 91, 78, 69, 63, 60, 60, 64, 71, 82, 96, 111, 126, 141, 157, 172, 187, 202, 215, 225, 233, 238, 242, 246, 248, 251, 252, 253, 254, 257, 261, 267, 274, 280, 283, 285, 284, 284, 285, 288, 294, 300, 308, 315, 322, 329, 337, 345, 352, 355, 354, 347, 333, 314, 289, 262, 233, 203, 174, 146, 121, 98, 78, 61, 46, 34, 24, 17, 11, 7, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 11, 18, 28, 40, 54, 72, 94, 121, 151, 182, 214, 245, 273, 299, 321, 338, 350, 354, 350, 336, 314, 285, 251, 217, 184, 154, 127, 105, 87, 75, 68, 67, 72, 81, 95, 112, 130, 150, 171, 191, 210, 227, 241, 251, 259, 263, 264, 260, 253, 243, 229, 214, 199, 186, 176, 168, 164, 161, 158, 155, 151, 145, 137, 128, 117, 106, 93, 81, 68, 56, 45, 36, 27, 20, 14, 9, 5, 3, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 3, 4, 5, 4, 3, 2, 2, 2, 4, 5, 7, 9, 13, 19, 29, 41, 58, 76, 96, 117, 137, 157, 176, 195, 213, 229, 244, 254, 261, 264, 264, 262, 261, 263, 269, 281, 298, 317, 336, 352, 365, 372, 373, 369, 359, 344, 324, 300, 271, 238, 205, 172, 140, 112, 88, 68, 53, 41, 33, 28, 23, 19, 16, 13, 10, 9, 9, 10, 10, 11, 10, 9, 7, 5, 3, 3, 4, 5, 7, 9, 9, 9, 8, 7, 5, 4, 4, 4, 4, 4, 3, 3, 2, 1, 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, 0, 0, 0, 3, 7, 15, 24, 36, 49, 63, 80, 99, 122, 149, 179, 210, 240, 266, 286, 300, 310, 316, 319, 319, 317, 313, 308, 302, 300, 302, 309, 319, 330, 338, 340, 334, 321, 302, 279, 253, 226, 198, 170, 142, 117, 94, 74, 58, 45, 35, 26, 20, 16, 13, 11, 10, 9, 8, 8, 8, 9, 12, 18, 25, 35, 46, 61, 80, 104, 133, 166, 201, 236, 269, 299, 324, 344, 357, 363, 359, 346, 323, 292, 256, 219, 184, 153, 126, 105, 89, 77, 69, 67, 71, 83, 104, 132, 166, 204, 241, 277, 310, 337, 358, 373, 380, 379, 369, 350, 323, 290, 254, 217, 182, 151, 123, 100, 81, 66, 57, 53, 54, 60, 69, 80, 93, 107, 123, 141, 161, 180, 196, 209, 215, 214, 207, 196, 181, 164, 146, 127, 108, 89, 72, 58, 47, 39, 36, 36, 40, 48, 59, 72, 88, 106, 125, 144, 162, 179, 194, 208, 219, 228, 235, 241, 245, 248, 253, 260, 272, 289, 311, 334, 357, 376, 386, 388, 380, 364, 341, 313, 282, 249, 215, 180, 146, 114, 86, 63, 45, 32, 23, 18, 14, 12, 10, 9, 7, 6, 4, 2, 1, 0, 0, 0, 1, 2, 4, 5, 5, 5, 4, 2, 1, 1, 0, 1, 2, 3, 4, 4, 3, 3, 2, 3, 3, 4, 5, 5, 5, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 12, 11, 11, 12, 14, 19, 27, 38, 53, 72, 95, 121, 150, 180, 210, 239, 266, 288, 306, 318, 324, 323, 318, 310, 304, 300, 301, 305, 311, 317, 320, 322, 320, 316, 311, 303, 295, 284, 272, 260, 249, 239, 231, 226, 223, 222, 222, 221, 217, 212, 202, 189, 172, 153, 131, 109, 88, 69, 54, 42, 34, 28, 24, 20, 16, 14, 12, 12, 12, 12, 12, 13, 13, 15, 18, 22, 30, 41, 56, 77, 105, 139, 178, 221, 265, 306, 343, 372, 393, 402, 401, 389, 368, 338, 303, 264, 224, 184, 147, 115, 88, 67, 52, 44, 42, 45, 54, 68, 88, 112, 140, 171, 203, 234, 260, 282, 296, 302, 300, 290, 273, 250, 224, 196, 169, 142, 118, 96, 76, 60, 48, 41, 39, 44, 54, 70, 91, 117, 146, 177, 208, 237, 262, 281, 294, 298, 294, 283, 264, 239, 211, 182, 152, 125, 101, 80, 64, 51, 43, 39, 41, 47, 59, 77, 98, 122, 146, 168, 188, 206, 220, 231, 238, 242, 241, 235, 225, 212, 200, 189, 181, 178, 179, 183, 188, 193, 196, 196, 192, 184, 171, 154, 134, 113, 93, 76, 61, 50, 42, 37, 33, 32, 34, 39, 50, 67, 91, 121, 155, 192, 231, 270, 307, 341, 369, 389, 398, 395, 379, 353, 320, 282, 242, 203, 166, 132, 101, 75, 54, 40, 30, 25, 22, 20, 18, 16, 14, 13, 12, 11, 11, 11, 10, 9, 8, 7, 6, 6, 7, 8, 9, 10, 11, 11, 11, 11, 11, 11, 11, 11, 10, 10, 9, 8, 7, 6, 6, 5, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 7, 16, 28, 42, 59, 77, 97, 117, 138, 158, 176, 191, 200, 202, 197, 185, 169, 149, 128, 107, 87, 70, 54, 41, 31, 24, 19, 15, 13, 11, 9, 7, 6, 5, 4, 3, 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, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 6, 15, 27, 43, 61, 80, 100, 121, 142, 163, 183, 199, 211, 216, 212, 201, 184, 163, 140, 117, 96, 77, 60, 46, 35, 26, 19, 13, 9, 7, 4, 3, 2, 2, 2, 2, 2, 2, 3, 5, 11, 21, 35, 54, 77, 103, 134, 168, 203, 237, 267, 291, 305, 309, 303, 287, 263, 234, 202, 169, 138, 110, 85, 65, 49, 36, 25, 17, 11, 7, 4, 2, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 4, 4, 5, 6, 7, 8, 8, 7, 6, 6, 6, 6, 7, 8, 9, 9, 9, 8, 7, 6, 5, 5, 6, 8, 12, 19, 27, 39, 55, 74, 96, 121, 147, 171, 193, 211, 224, 232, 235, 236, 234, 232, 233, 239, 253, 276, 307, 342, 377, 406, 426, 435, 430, 413, 386, 352, 311, 267, 221, 176, 134, 98, 68, 46, 31, 23, 21, 23, 29, 38, 50, 66, 86, 110, 136, 163, 190, 213, 231, 240, 241, 234, 218, 197, 173, 147, 122, 99, 79, 62, 47, 34, 25, 17, 11, 7, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 3, 5, 6, 7, 7, 6, 4, 3, 2, 1, 1, 1, 0, 0, 0, 0, 1, 5, 12, 23, 39, 60, 88, 124, 168, 217, 270, 319, 362, 393, 412, 418, 414, 401, 383, 360, 334, 308, 284, 263, 248, 241, 239, 241, 244, 243, 237, 224, 206, 183, 157, 132, 107, 85, 66, 50, 37, 27, 20, 16, 13, 11, 10, 10, 9, 9, 9, 8, 7, 6, 6, 6, 7, 9, 13, 19, 26, 36, 48, 62, 78, 93, 107, 119, 127, 131, 131, 127, 118, 105, 90, 74, 58, 44, 32, 23, 16, 11, 8, 6, 5, 3, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 4, 6, 7, 8, 7, 5, 3, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 7, 18, 36, 62, 96, 139, 188, 241, 295, 347, 392, 427, 447, 451, 438, 410, 369, 321, 268, 217, 169, 127, 93, 65, 45, 31, 21, 15, 11, 8, 7, 5, 5, 5, 4, 5, 5, 4, 4, 3, 3, 3, 3, 4, 6, 8, 10, 12, 12, 12, 11, 9, 8, 7, 7, 6, 5, 4, 2, 1, 0, 0, 0, 0, 2, 8, 18, 34, 57, 87, 124, 168, 218, 271, 324, 373, 412, 439, 449, 441, 415, 375, 325, 270, 216, 165, 122, 87, 60, 39, 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, 5, 13, 28, 50, 80, 119, 167, 222, 281, 339, 391, 431, 457, 466, 459, 439, 412, 383, 358, 342, 336, 340, 353, 372, 392, 410, 422, 424, 414, 391, 356, 313, 263, 212, 163, 119, 82, 53, 32, 18, 9, 4, 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, 1, 7, 19, 38, 66, 104, 149, 201, 256, 310, 359, 398, 424, 435, 430, 408, 373, 327, 274, 219, 166, 120, 82, 54, 34, 21, 12, 6, 3, 1, 2, 3, 4, 5, 5, 4, 3, 2, 2, 2, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 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, 1, 3, 4, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 11, 23, 41, 69, 105, 149, 198, 250, 298, 340, 370, 386, 388, 374, 348, 310, 265, 215, 167, 122, 85, 56, 36, 22, 13, 8, 5, 4, 3, 3, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 8, 20, 39, 64, 96, 135, 180, 229, 280, 329, 369, 395, 403, 392, 365, 325, 278, 229, 182, 138, 100, 68, 43, 24, 13, 8, 11, 21, 39, 66, 102, 146, 197, 253, 309, 361, 404, 435, 451, 449, 429, 394, 345, 289, 230, 174, 125, 86, 57, 37, 25, 18, 14, 12, 10, 9, 8, 8, 9, 9, 10, 9, 9, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 7, 7, 8, 9, 10, 11, 12, 12, 13, 13, 13, 11, 10, 7, 5, 4, 4, 6, 10, 18, 32, 53, 81, 117, 160, 207, 256, 301, 338, 363, 372, 364, 340, 303, 258, 210, 163, 121, 86, 59, 39, 26, 17, 11, 6, 4, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 3, 4, 4, 4, 5, 5, 4, 4, 3, 2, 1, 1, 1, 1, 2, 3, 3, 4, 3, 3, 2, 2, 3, 4, 6, 8, 9, 9, 8, 5, 3, 0, 0, 0, 2, 6, 14, 27, 46, 74, 111, 155, 203, 251, 293, 324, 341, 341, 326, 298, 260, 217, 173, 132, 94, 64, 40, 22, 11, 4, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 3, 4, 4, 5, 6, 6, 7, 7, 7, 6, 6, 5, 3, 2, 1, 0, 2, 7, 15, 28, 46, 69, 96, 126, 156, 186, 211, 229, 237, 236, 224, 204, 178, 148, 117, 88, 63, 43, 28, 17, 11, 7, 5, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 1, 7, 17, 35, 61, 96, 142, 194, 251, 307, 356, 393, 413, 415, 400, 369, 326, 276, 221, 168, 119, 77, 46, 25, 14, 9, 8, 9, 10, 10, 9, 9, 8, 9, 10, 11, 11, 10, 8, 6, 3, 2, 1, 1, 2, 3, 3, 4, 4, 4, 5, 5, 7, 8, 9, 9, 9, 8, 7, 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, 0, 0, 0, 1, 1, 2, 4, 5, 6, 6, 6, 7, 7, 7, 6, 4, 2, 0, 0, 5, 17, 38, 67, 103, 145, 189, 233, 275, 310, 337, 351, 349, 330, 295, 250, 199, 149, 106, 73, 49, 33, 22, 16, 12, 9, 9, 9, 11, 12, 12, 12, 12, 11, 10, 9, 9, 10, 10, 10, 11, 11, 11, 11, 10, 9, 7, 6, 4, 3, 2, 4, 9, 19, 35, 58, 88, 122, 158, 192, 220, 238, 245, 240, 225, 201, 171, 139, 107, 79, 56, 37, 25, 16, 12, 9, 8, 8, 8, 7, 6, 6, 5, 3, 2, 1, 0, 0, 0, 4, 12, 25, 44, 69, 101, 139, 180, 221, 257, 284, 297, 295, 278, 248, 209, 167, 126, 90, 61, 38, 21, 10, 3, 0, 0, 2, 8, 19, 35, 58, 87, 122, 162, 201, 238, 266, 283, 286, 275, 252, 220, 183, 144, 107, 75, 48, 28, 14, 5, 1, 0, 1, 5, 12, 23, 40, 64, 94, 130, 170, 208, 239, 261, 270, 265, 248, 221, 188, 153, 119, 88, 62, 41, 25, 14, 8, 5, 5, 6, 7, 8, 9, 9, 8, 8, 8, 8, 8, 8, 7, 6, 5, 4, 4, 4, 5, 6, 6, 5, 4, 3, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 3, 4, 4, 3, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 3, 4, 4, 5, 5, 5, 4, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 4, 19, 48, 91, 148, 216, 288, 359, 422, 471, 500, 506, 486, 444, 384, 314, 242, 176, 120, 76, 46, 26, 14, 8, 5, 5, 5, 7, 8, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7, 7, 5, 5, 4, 4, 4, 4, 3, 3, 2, 3, 5, 10, 18, 31, 50, 74, 103, 134, 165, 192, 210, 219, 215, 200, 177, 148, 117, 88, 64, 44, 30, 19, 13, 9, 7, 6, 6, 7, 9, 11, 12, 13, 13, 13, 12, 11, 10, 9, 9, 9, 9, 9, 9, 8, 7, 6, 5, 4, 4, 5, 5, 6, 6, 6, 5, 4, 3, 2, 2, 1, 0, 0, 0, 1, 9, 23, 45, 77, 117, 162, 209, 253, 290, 315, 324, 319, 299, 272, 243, 223, 218, 236, 276, 335, 405, 475, 533, 570, 579, 559, 512, 445, 367, 287, 211, 145, 93, 54, 28, 13, 5, 4, 5, 9, 12, 15, 16, 17, 16, 15, 14, 13, 12, 11, 11, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 7, 6, 5, 4, 3, 3, 3, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 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, 2, 13, 34, 67, 112, 167, 228, 290, 346, 389, 414, 417, 399, 364, 316, 266, 221, 189, 173, 174, 189, 211, 236, 255, 265, 263, 248, 222, 188, 151, 114, 80, 53, 33, 19, 10, 6, 5, 5, 5, 6, 7, 7, 8, 8, 9, 11, 12, 13, 12, 11, 9, 7, 6, 6, 6, 6, 6, 6, 5, 3, 2, 2, 3, 4, 5, 6, 6, 5, 4, 3, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 2, 2, 2, 3, 4, 6, 7, 9, 9, 9, 7, 6, 5, 4, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 6, 15, 31, 54, 84, 119, 156, 191, 219, 237, 242, 234, 214, 185, 151, 116, 84, 56, 35, 19, 9, 3, 0, 0, 0, 2, 12, 32, 64, 110, 169, 238, 313, 384, 443, 481, 492, 474, 429, 365, 292, 218, 152, 98, 58, 31, 15, 6, 3, 2, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6, 8, 9, 11, 13, 13, 13, 13, 12, 10, 9, 8, 8, 8, 8, 9, 10, 11, 11, 10, 8, 7, 6, 6, 7, 9, 10, 11, 11, 9, 7, 4, 2, 0, 0, 0, 4, 14, 32, 58, 94, 137, 183, 227, 265, 289, 297, 289, 266, 235, 205, 184, 181, 200, 242, 302, 371, 439, 495, 528, 532, 506, 454, 381, 298, 215, 141, 82, 40, 16, 3, 0, 0, 0, 0, 0, 5, 16, 36, 65, 104, 150, 199, 244, 280, 302, 307, 294, 266, 228, 185, 142, 102, 68, 42, 24, 13, 7, 5, 5, 6, 6, 6, 5, 3, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 5, 6, 7, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 8, 8, 8, 7, 5, 4, 4, 4, 5, 7, 9, 11, 13, 15, 16, 16, 16, 15, 14, 13, 11, 10, 9, 8, 8, 6, 5, 4, 3, 2, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 4, 4, 5, 5, 5, 5, 5, 6, 7, 8, 9, 10, 10, 9, 8, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 5, 5, 5, 5, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 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, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 18, 42, 76, 120, 168, 217, 258, 287, 298, 292, 268, 232, 188, 142, 100, 65, 39, 22, 12, 8, 7, 7, 7, 7, 5, 4, 4, 4, 5, 7, 8, 9, 10, 9, 9, 9, 10, 10, 11, 11, 11, 10, 10, 9, 9, 9, 8, 8, 7, 6, 5, 5, 6, 7, 8, 9, 10, 10, 10, 10, 9, 8, 7, 6, 6, 6, 7, 7, 7, 7, 6, 6, 5, 6, 7, 7, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 2, 15, 43, 90, 156, 237, 325, 410, 480, 525, 538, 517, 465, 389, 300, 211, 132, 71, 30, 8, 0, 0, 0, 1, 2, 2, 2, 3, 5, 6, 7, 8, 8, 7, 6, 5, 4, 2, 1, 1, 0, 1, 2, 4, 6, 7, 8, 8, 7, 5, 4, 2, 2, 2, 4, 5, 6, 7, 7, 6, 5, 5, 5, 5, 6, 8, 9, 10, 11, 11, 10, 9, 7, 5, 4, 3, 3, 3, 4, 5, 5, 5, 4, 3, 2, 2, 2, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 4, 4, 4, 4, 3, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 4, 5, 7, 9, 10, 10, 9, 7, 6, 4, 3, 1, 0, 0, 1, 13, 41, 87, 152, 231, 316, 395, 459, 497, 503, 477, 421, 346, 261, 178, 106, 53, 19, 3, 0, 0, 1, 1, 0, 0, 2, 14, 38, 74, 121, 174, 229, 276, 309, 324, 318, 292, 251, 201, 150, 102, 64, 37, 21, 13, 10, 11, 12, 13, 13, 12, 11, 10, 9, 9, 8, 8, 7, 7, 7, 7, 6, 6, 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 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, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 5, 28, 71, 140, 231, 335, 440, 529, 589, 611, 591, 532, 444, 342, 239, 148, 77, 31, 7, 0, 0, 0, 0, 0, 0, 4, 19, 49, 95, 156, 227, 301, 367, 416, 438, 429, 391, 329, 255, 179, 112, 60, 26, 8, 1, 1, 4, 7, 8, 9, 9, 9, 9, 9, 9, 8, 8, 7, 5, 5, 5, 5, 6, 7, 7, 6, 4, 2, 1, 1, 1, 0, 0, 0, 3, 18, 47, 94, 157, 231, 307, 374, 422, 443, 433, 394, 334, 264, 200, 158, 149, 180, 248, 342, 447, 541, 606, 629, 605, 539, 442, 332, 225, 135, 68, 27, 6, 0, 0, 0, 2, 3, 4, 5, 7, 9, 10, 9, 7, 6, 4, 3, 4, 4, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 7, 7, 8, 8, 7, 7, 7, 7, 7, 7, 7, 6, 5, 3, 1, 1, 0, 0, 0, 0, 0, 1, 10, 29, 61, 105, 156, 209, 256, 288, 302, 296, 270, 230, 182, 133, 88, 51, 25, 9, 2, 0, 2, 5, 8, 11, 12, 12, 11, 9, 7, 5, 4, 3, 3, 3, 3, 3, 2, 1, 1, 0, 1, 2, 2, 3, 3, 2, 2, 2, 2, 3, 3, 4, 5, 5, 4, 3, 2, 2, 1, 2, 2, 3, 4, 4, 3, 3, 2, 2, 2, 3, 3, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 8, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 6, 9, 11, 12, 12, 11, 9, 7, 5, 4, 5, 6, 8, 9, 8, 7, 5, 3, 2, 1, 1, 0, 0, 0, 9, 30, 68, 121, 185, 251, 309, 347, 360, 345, 307, 253, 192, 133, 83, 45, 20, 7, 2, 2, 4, 7, 8, 9, 10, 11, 11, 11, 9, 7, 5, 4, 3, 2, 0, 0, 0, 8, 34, 82, 152, 241, 336, 423, 486, 514, 503, 454, 378, 287, 196, 117, 58, 20, 2, 0, 0, 2, 2, 0, 0, 1, 20, 59, 121, 202, 295, 387, 466, 518, 534, 511, 454, 371, 280, 196, 134, 103, 106, 136, 181, 229, 266, 283, 278, 251, 209, 160, 111, 69, 37, 17, 7, 4, 4, 6, 7, 7, 5, 4, 3, 2, 2, 3, 4, 4, 4, 5, 5, 5, 6, 7, 8, 10, 11, 12, 12, 12, 11, 9, 7, 6, 5, 6, 6, 7, 8, 8, 7, 6, 5, 3, 2, 0, 0, 0, 4, 17, 41, 76, 121, 170, 215, 248, 263, 258, 233, 193, 146, 100, 60, 31, 12, 3, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 3, 4, 6, 9, 11, 14, 15, 15, 15, 13, 11, 9, 8, 7, 7, 8, 9, 10, 10, 11, 11, 11, 10, 10, 10, 10, 10, 10, 9, 9, 8, 8, 8, 8, 8, 8, 9, 9, 8, 8, 7, 6, 5, 5, 4, 4, 3, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 3, 2, 0, 0, 5, 35, 95, 189, 312, 449, 581, 684, 739, 737, 677, 572, 439, 303, 182, 91, 33, 4, 0, 0, 3, 5, 6, 5, 5, 6, 8, 10, 11, 11, 10, 9, 8, 7, 6, 6, 6, 5, 5, 5, 4, 3, 3, 2, 2, 2, 2, 2, 2, 3, 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, 1, 1, 2, 3, 3, 3, 3, 3, 5, 6, 8, 10, 11, 11, 10, 8, 7, 5, 5, 5, 6, 8, 9, 11, 12, 12, 11, 9, 7, 6, 5, 5, 6, 7, 8, 8, 7, 6, 5, 5, 6, 6, 6, 6, 4, 2, 0, 0, 0, 0, 2, 3, 1, 0, 0, 13, 51, 118, 216, 337, 463, 575, 651, 675, 644, 563, 448, 324, 213, 136, 103, 113, 157, 217, 276, 317, 332, 317, 277, 221, 160, 104, 58, 27, 8, 1, 0, 1, 3, 4, 4, 5, 5, 6, 8, 10, 11, 12, 12, 12, 11, 9, 7, 5, 5, 5, 6, 8, 10, 11, 11, 10, 9, 8, 7, 7, 7, 8, 9, 9, 9, 9, 8, 8, 7, 7, 7, 7, 7, 8, 8, 9, 9, 8, 8, 8, 7, 7, 6, 6, 5, 4, 4, 3, 3, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 4, 6, 6, 6, 6, 4, 3, 1, 0, 0, 1, 2, 4, 6, 7, 7, 6, 4, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 7, 27, 63, 114, 176, 238, 290, 322, 327, 304, 259, 199, 137, 81, 39, 13, 1, 0, 0, 2, 3, 4, 4, 5, 5, 5, 4, 2, 0, 0, 0, 1, 2, 1, 0, 0, 8, 35, 87, 164, 261, 365, 457, 521, 542, 517, 450, 354, 249, 151, 75, 27, 3, 0, 0, 3, 4, 3, 1, 0, 0, 0, 1, 2, 3, 3, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 3, 4, 4, 5, 7, 8, 8, 9, 10, 10, 11, 11, 11, 11, 10, 10, 10, 10, 10, 10, 10, 9, 8, 8, 9, 11, 12, 11, 9, 6, 3, 1, 2, 3, 2, 0, 0, 0, 19, 62, 134, 233, 345, 454, 538, 580, 571, 512, 416, 303, 193, 103, 41, 8, 0, 0, 1, 4, 4, 1, 0, 0, 0, 12, 36, 74, 124, 181, 234, 273, 291, 283, 251, 201, 145, 92, 49, 20, 4, 0, 0, 2, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 4, 3, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 3, 1, 0, 0, 6, 30, 76, 144, 228, 314, 387, 433, 442, 412, 351, 270, 185, 110, 53, 17, 1, 0, 1, 6, 8, 8, 7, 4, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 3, 5, 3, 0, 0, 6, 45, 121, 239, 387, 544, 681, 769, 789, 737, 624, 473, 316, 179, 79, 21, 0, 0, 2, 6, 7, 4, 1, 0, 1, 2, 3, 3, 3, 3, 4, 6, 7, 8, 8, 7, 6, 5, 5, 6, 8, 9, 10, 10, 9, 8, 7, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 5, 4, 3, 2, 2, 2, 3, 4, 5, 5, 6, 6, 5, 3, 0, 0, 0, 0, 3, 5, 3, 0, 0, 8, 50, 131, 252, 403, 558, 689, 768, 778, 716, 597, 446, 293, 162, 70, 17, 0, 0, 2, 7, 7, 3, 0, 0, 1, 23, 65, 129, 210, 295, 370, 418, 429, 400, 337, 256, 171, 97, 44, 11, 0, 0, 0, 5, 8, 7, 1, 0, 0, 25, 93, 210, 370, 553, 727, 857, 916, 889, 784, 623, 441, 273, 150, 90, 96, 155, 245, 339, 413, 449, 440, 390, 312, 223, 140, 73, 29, 7, 0, 1, 5, 8, 8, 7, 5, 4, 4, 6, 8, 10, 12, 12, 11, 9, 7, 4, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 4, 5, 7, 9, 9, 8, 5, 1, 0, 0, 1, 3, 4, 0, 0, 0, 21, 72, 156, 268, 393, 507, 587, 614, 582, 498, 381, 256, 145, 64, 17, 0, 0, 2, 6, 6, 4, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 4, 5, 5, 6, 5, 5, 4, 3, 3, 3, 4, 5, 6, 7, 9, 10, 10, 10, 9, 9, 8, 8, 7, 7, 6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 9, 10, 11, 12, 12, 11, 10, 9, 9, 9, 9, 9, 8, 5, 3, 2, 3, 4, 3, 1, 0, 0, 16, 54, 118, 205, 303, 395, 460, 484, 458, 388, 288, 180, 91, 44, 54, 124, 244, 392, 536, 646, 698, 680, 598, 471, 328, 195, 93, 30, 1, 0, 0, 4, 5, 3, 0, 0, 0, 3, 5, 5, 4, 2, 1, 2, 3, 4, 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5, 5, 5, 4, 3, 3, 3, 4, 6, 7, 9, 9, 9, 7, 5, 3, 2, 1, 1, 2, 3, 3, 4, 5, 5, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 2, 3, 4, 5, 4, 3, 2, 2, 3, 5, 7, 9, 10, 9, 7, 5, 4, 3, 3, 4, 6, 6, 7, 6, 6, 5, 5, 5, 6, 7, 9, 10, 12, 12, 13, 12, 11, 9, 7, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 2, 3, 1, 0, 0, 9, 37, 87, 157, 238, 316, 375, 401, 389, 342, 271, 190, 115, 56, 19, 2, 0, 2, 7, 11, 12, 12, 13, 14, 16, 18, 20, 19, 18, 16, 14, 12, 12, 12, 13, 12, 11, 8, 5, 3, 2, 4, 5, 4, 0, 0, 3, 27, 81, 165, 275, 394, 499, 566, 579, 532, 433, 305, 181, 95, 73, 128, 255, 429, 612, 763, 845, 842, 754, 604, 428, 260, 129, 44, 3, 0, 0, 5, 9, 7, 2, 0, 0, 4, 35, 96, 192, 317, 452, 572, 652, 671, 621, 511, 366, 220, 111, 72, 118, 249, 440, 654, 841, 960, 982, 903, 743, 540, 337, 170, 60, 5, 0, 0, 9, 14, 12, 9, 7, 10, 15, 19, 22, 22, 19, 17, 14, 13, 11, 10, 9, 9, 9, 9, 8, 5, 2, 1, 1, 3, 5, 4, 0, 0, 1, 24, 76, 157, 262, 372, 466, 522, 527, 480, 393, 285, 180, 93, 36, 6, 0, 0, 1, 4, 4, 2, 0, 0, 0, 6, 29, 72, 136, 215, 297, 364, 403, 404, 366, 299, 218, 138, 73, 29, 5, 0, 0, 0, 4, 6, 5, 1, 0, 0, 12, 49, 114, 204, 306, 401, 467, 485, 450, 367, 254, 138, 48, 8, 34, 128, 276, 452, 621, 747, 804, 778, 677, 525, 356, 202, 89, 22, 0, 0, 4, 11, 12, 10, 7, 7, 9, 13, 15, 16, 15, 13, 11, 10, 10, 10, 11, 11, 12, 13, 14, 15, 15, 15, 15, 14, 13, 13, 13, 13, 12, 10, 7, 3, 1, 2, 4, 5, 4, 0, 0, 3, 33, 94, 189, 309, 436, 542, 602, 601, 537, 425, 291, 169, 89, 70, 116, 211, 329, 437, 507, 519, 472, 377, 258, 145, 66, 40, 72, 156, 272, 392, 489, 540, 533, 473, 373, 259, 152, 70, 20, 0, 0, 3, 8, 10, 8, 4, 1, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 3, 3, 2, 2, 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, 0, 0, 1, 3, 4, 5, 6, 5, 4, 3, 3, 2, 2, 3, 3, 3, 3, 2, 1, 1, 1, 1, 2, 2, 3, 3, 4, 3, 3, 3, 2, 2, 1, 1, 1, 2, 3, 4, 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, 2, 3, 4, 4, 4, 3, 2, 2, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 3, 5, 3, 0, 0, 3, 29, 80, 157, 249, 338, 405, 433, 415, 355, 269, 176, 95, 38, 7, 0, 0, 3, 5, 4, 1, 0, 0, 0, 3, 4, 3, 0, 0, 0, 0, 5, 7, 5, 0, 0, 7, 49, 131, 252, 396, 534, 636, 676, 645, 549, 414, 271, 148, 61, 13, 0, 0, 0, 2, 5, 7, 6, 1, 0, 0, 19, 89, 216, 393, 595, 780, 904, 936, 866, 713, 515, 316, 155, 50, 1, 0, 0, 10, 13, 8, 1, 0, 0, 2, 7, 10, 11, 10, 7, 5, 4, 3, 3, 3, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 5, 6, 6, 4, 0, 0, 0, 0, 5, 10, 8, 0, 0, 0, 41, 130, 271, 446, 625, 767, 838, 819, 715, 553, 371, 208, 88, 20, 0, 0, 5, 11, 10, 4, 0, 0, 0, 1, 4, 5, 4, 3, 1, 0, 0, 0, 1, 3, 4, 4, 3, 0, 0, 0, 0, 5, 9, 8, 1, 0, 0, 37, 119, 247, 408, 573, 703, 767, 747, 646, 488, 313, 162, 70, 56, 117, 234, 370, 489, 560, 564, 505, 400, 276, 161, 74, 21, 0, 0, 0, 5, 7, 7, 3, 0, 0, 0, 18, 63, 136, 232, 333, 418, 465, 462, 411, 323, 221, 127, 56, 14, 0, 0, 3, 8, 8, 6, 4, 3, 5, 7, 9, 8, 4, 1, 0, 0, 2, 5, 5, 0, 0, 0, 24, 79, 165, 272, 381, 466, 506, 489, 421, 319, 207, 110, 42, 6, 0, 0, 4, 7, 5, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 4, 8, 13, 20, 26, 31, 35, 37, 36, 30, 18, 2, 0, 3, 53, 153, 302, 480, 652, 779, 828, 784, 656, 473, 279, 118, 20, 1, 54, 157, 276, 380, 442, 449, 405, 323, 225, 132, 61, 18, 0, 0, 2, 6, 6, 3, 0, 0, 3, 8, 13, 14, 10, 5, 0, 0, 2, 7, 10, 6, 0, 0, 13, 74, 187, 344, 522, 681, 783, 799, 726, 582, 405, 236, 105, 26, 0, 0, 5, 13, 14, 10, 3, 0, 0, 1, 3, 5, 6, 8, 9, 10, 10, 10, 9, 9, 10, 10, 11, 10, 8, 5, 4, 4, 5, 5, 2, 0, 0, 10, 45, 106, 189, 281, 361, 411, 417, 377, 303, 212, 125, 58, 16, 0, 0, 1, 6, 7, 5, 3, 1, 1, 3, 5, 8, 10, 11, 12, 11, 10, 7, 4, 1, 0, 1, 3, 5, 7, 7, 6, 5, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 3, 4, 3, 1, 0, 0, 0, 3, 9, 12, 7, 0, 0, 13, 78, 197, 362, 547, 710, 810, 820, 737, 585, 402, 230, 101, 25, 0, 0, 0, 6, 8, 7, 4, 0, 0, 0, 8, 49, 129, 246, 384, 514, 605, 631, 586, 480, 343, 206, 96, 27, 0, 0, 2, 9, 11, 8, 4, 2, 4, 8, 11, 13, 14, 13, 11, 10, 9, 8, 7, 5, 4, 3, 1, 0, 0, 0, 0, 2, 5, 6, 2, 0, 0, 13, 56, 128, 223, 324, 407, 451, 444, 389, 299, 198, 108, 43, 8, 0, 0, 3, 6, 5, 2, 0, 0, 1, 3, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 2, 1, 0, 0, 2, 3, 4, 3, 0, 0, 0, 0, 5, 11, 12, 4, 0, 0, 27, 111, 251, 436, 629, 787, 867, 848, 735, 558, 362, 190, 70, 8, 0, 0, 9, 14, 11, 4, 0, 1, 6, 12, 14, 12, 5, 0, 0, 0, 5, 10, 9, 1, 0, 0, 38, 120, 246, 401, 554, 668, 711, 671, 555, 392, 221, 85, 14, 25, 112, 252, 409, 543, 620, 621, 545, 410, 253, 117, 42, 53, 155, 326, 527, 705, 815, 825, 731, 555, 343, 151, 31, 18, 119, 314, 554, 782, 942, 996, 934, 776, 565, 350, 174, 58, 3, 0, 1, 12, 15, 10, 3, 0, 0, 5, 11, 14, 12, 7, 1, 0, 0, 4, 9, 10, 4, 0, 0, 24, 94, 210, 362, 520, 647, 709, 686, 579, 416, 239, 96, 27, 50, 161, 331, 514, 663, 739, 723, 621, 459, 279, 121, 21, 0, 39, 140, 266, 383, 463, 488, 454, 373, 267, 162, 78, 24, 0, 0, 3, 9, 10, 8, 4, 1, 0, 2, 5, 7, 8, 7, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 1, 3, 6, 7, 8, 8, 7, 6, 7, 8, 10, 11, 10, 7, 2, 0, 0, 2, 5, 6, 2, 0, 0, 15, 64, 146, 254, 366, 456, 500, 486, 417, 314, 202, 106, 39, 5, 0, 0, 1, 4, 4, 4, 3, 0, 0, 0, 9, 46, 113, 204, 304, 390, 438, 435, 381, 292, 190, 100, 36, 3, 0, 0, 5, 7, 5, 1, 0, 0, 1, 4, 6, 6, 6, 5, 4, 4, 3, 2, 1, 1, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 2, 3, 3, 2, 0, 0, 0, 0, 6, 10, 8, 1, 0, 0, 36, 118, 242, 394, 541, 648, 685, 641, 528, 372, 210, 79, 1, 0, 33, 124, 234, 337, 407, 429, 398, 325, 230, 136, 62, 16, 0, 0, 2, 7, 8, 6, 3, 1, 2, 3, 6, 8, 10, 11, 12, 13, 11, 9, 6, 2, 0, 0, 0, 2, 5, 7, 9, 9, 8, 6, 3, 2, 1, 1, 2, 3, 5, 6, 6, 6, 4, 3, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 5, 7, 8, 8, 7, 5, 3, 1, 1, 1, 2, 3, 4, 5, 5, 6, 5, 5, 4, 3, 2, 2, 2, 3, 3, 4, 5, 4, 4, 2, 1, 1, 1, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 2, 4, 6, 7, 7, 7, 5, 3, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 4, 6, 9, 11, 12, 13, 12, 11, 10, 8, 7, 6, 6, 7, 8, 9, 10, 11, 11, 10, 9, 7, 7, 8, 10, 11, 11, 8, 4, 0, 0, 0, 4, 7, 6, 0, 0, 0, 30, 92, 184, 291, 390, 454, 465, 420, 333, 227, 127, 52, 10, 0, 0, 4, 8, 7, 3, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 6, 9, 6, 0, 0, 5, 46, 124, 235, 359, 467, 531, 532, 471, 365, 243, 133, 54, 10, 0, 0, 0, 1, 4, 7, 8, 5, 0, 0, 5, 60, 170, 332, 520, 693, 805, 826, 746, 584, 383, 190, 49, 0, 13, 109, 248, 389, 498, 547, 527, 447, 330, 207, 103, 34, 1, 0, 2, 9, 11, 8, 2, 0, 0, 0, 3, 5, 3, 0, 0, 0, 1, 7, 10, 7, 0, 0, 5, 51, 141, 270, 415, 544, 622, 629, 561, 439, 296, 165, 69, 15, 0, 0, 0, 3, 6, 8, 8, 4, 0, 0, 5, 58, 163, 317, 494, 654, 754, 766, 686, 538, 362, 200, 81, 15, 0, 0, 0, 7, 11, 11, 8, 1, 0, 0, 20, 100, 239, 427, 631, 801, 892, 878, 761, 576, 371, 192, 68, 5, 0, 0, 7, 14, 13, 7, 0, 0, 0, 2, 34, 95, 186, 295, 400, 474, 498, 465, 382, 273, 164, 76, 20, 0, 0, 4, 13, 18, 18, 15, 13, 12, 12, 13, 15, 17, 18, 18, 18, 17, 14, 12, 9, 7, 6, 6, 7, 8, 9, 10, 9, 8, 6, 5, 4, 4, 5, 7, 8, 9, 8, 6, 3, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 5, 5, 1, 0, 0, 14, 54, 118, 199, 281, 343, 368, 349, 291, 210, 127, 59, 16, 0, 0, 2, 7, 7, 4, 1, 0, 0, 4, 8, 11, 10, 6, 0, 0, 0, 2, 9, 12, 7, 0, 0, 8, 64, 166, 306, 457, 581, 645, 628, 536, 397, 246, 119, 35, 0, 0, 1, 11, 13, 9, 3, 0, 1, 5, 10, 13, 14, 13, 12, 10, 10, 9, 9, 9, 9, 10, 11, 13, 16, 18, 19, 18, 16, 13, 10, 9, 9, 11, 13, 15, 17, 17, 17, 15, 14, 12, 11, 10, 10, 11, 13, 15, 17, 18, 18, 17, 15, 13, 11, 10, 10, 11, 12, 13, 13, 12, 11, 10, 9, 11, 13, 15, 15, 12, 7, 2, 0, 1, 6, 9, 7, 0, 0, 3, 43, 126, 248, 391, 523, 611, 629, 570, 445, 286, 130, 16, 0, 25, 162, 363, 584, 772, 881, 881, 774, 593, 386, 202, 72, 6, 0, 0, 11, 17, 12, 3, 0, 0, 0, 1, 4, 4, 3, 2, 2, 3, 4, 5, 4, 3, 1, 0, 0, 0, 1, 3, 5, 7, 7, 6, 4, 3, 2, 1, 2, 4, 6, 8, 9, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 10, 8, 6, 5, 4, 4, 3, 1, 0, 0, 0, 1, 7, 10, 8, 0, 0, 3, 44, 129, 254, 400, 535, 624, 641, 578, 446, 278, 115, 2, 0, 57, 243, 503, 780, 1008, 1127, 1105, 951, 709, 446, 221, 71, 0, 0, 0, 13, 16, 10, 3, 0, 0, 0, 0, 4, 33, 90, 175, 275, 368, 429, 440, 397, 314, 212, 117, 46, 7, 0, 0, 6, 11, 11, 8, 4, 2, 2, 3, 4, 5, 4, 4, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 3, 4, 4, 1, 0, 0, 0, 3, 10, 15, 10, 0, 0, 7, 68, 186, 352, 536, 694, 783, 776, 672, 494, 288, 102, 0, 0, 100, 337, 652, 981, 1246, 1377, 1341, 1149, 855, 536, 265, 83, 0, 0, 2, 21, 25, 16, 3, 0, 0, 2, 9, 14, 14, 12, 9, 7, 6, 6, 6, 7, 9, 11, 14, 16, 15, 11, 7, 4, 4, 7, 9, 6, 0, 0, 2, 39, 113, 220, 345, 456, 526, 534, 478, 373, 249, 135, 52, 7, 0, 0, 6, 10, 8, 2, 0, 0, 1, 7, 10, 10, 7, 0, 0, 0, 1, 10, 15, 12, 0, 0, 0, 56, 173, 345, 545, 727, 843, 859, 772, 605, 406, 221, 86, 12, 0, 0, 10, 17, 14, 6, 0, 0, 4, 11, 17, 18, 14, 5, 0, 0, 0, 6, 18, 22, 12, 0, 0, 25, 139, 342, 614, 901, 1132, 1243, 1199, 1015, 742, 455, 216, 62, 0, 0, 2, 16, 17, 9, 0, 0, 0, 0, 0, 0, 16, 59, 134, 232, 335, 415, 450, 429, 358, 258, 154, 71, 18, 0, 0, 2, 8, 8, 5, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 3, 4, 5, 5, 6, 6, 6, 5, 4, 3, 1, 0, 0, 0, 1, 2, 3, 4, 4, 4, 3, 1, 1, 1, 2, 4, 6, 8, 9, 9, 8, 7, 5, 3, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 4, 5, 5, 2, 0, 0, 0, 4, 12, 16, 10, 0, 0, 12, 88, 228, 421, 630, 806, 899, 883, 762, 573, 366, 187, 66, 4, 0, 0, 2, 10, 14, 15, 10, 0, 0, 0, 48, 170, 364, 608, 852, 1033, 1100, 1028, 833, 564, 290, 79, 0, 17, 174, 409, 661, 864, 966, 942, 801, 583, 342, 138, 12, 0, 52, 183, 339, 476, 558, 568, 505, 392, 260, 141, 55, 9, 0, 0, 4, 6, 4, 0, 0, 0, 0, 0, 0, 2, 24, 70, 137, 214, 285, 329, 333, 297, 231, 153, 82, 30, 2, 0, 0, 7, 11, 10, 7, 3, 0, 0, 0, 0, 2, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 1, 4, 6, 8, 9, 9, 8, 6, 3, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 5, 8, 10, 11, 10, 8, 5, 4, 5, 8, 10, 11, 8, 2, 0, 0, 0, 8, 16, 14, 2, 0, 0, 47, 162, 341, 555, 757, 892, 922, 836, 660, 445, 242, 93, 12, 0, 0, 11, 19, 15, 5, 0, 0, 0, 6, 12, 14, 11, 4, 0, 0, 0, 5, 14, 17, 9, 0, 0, 22, 115, 277, 491, 714, 890, 969, 927, 777, 561, 336, 154, 39, 0, 0, 6, 19, 18, 9, 0, 0, 0, 9, 17, 19, 14, 5, 0, 0, 3, 11, 15, 8, 0, 0, 19, 102, 248, 441, 642, 801, 872, 835, 700, 506, 305, 141, 38, 0, 0, 5, 16, 18, 11, 2, 0, 0, 0, 5, 7, 8, 8, 7, 7, 6, 6, 5, 4, 3, 2, 2, 3, 3, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 7, 8, 4, 0, 0, 10, 56, 135, 241, 354, 445, 490, 477, 408, 304, 192, 95, 31, 0, 0, 0, 7, 9, 6, 1, 0, 0, 4, 8, 11, 10, 6, 0, 0, 0, 2, 8, 10, 5, 0, 0, 10, 60, 151, 272, 399, 500, 546, 523, 439, 317, 190, 86, 22, 0, 0, 3, 11, 12, 8, 2, 0, 0, 2, 5, 7, 7, 7, 8, 8, 8, 7, 5, 3, 2, 1, 2, 4, 6, 8, 9, 8, 7, 4, 2, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 4, 5, 5, 7, 8, 10, 10, 10, 9, 7, 5, 3, 2, 1, 2, 3, 4, 6, 7, 8, 8, 7, 5, 4, 3, 3, 5, 6, 8, 10, 11, 10, 10, 8, 7, 7, 7, 8, 9, 10, 10, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 2, 0, 0, 0, 0, 3, 9, 10, 6, 0, 0, 10, 63, 158, 286, 421, 529, 580, 558, 471, 344, 209, 98, 27, 0, 0, 2, 11, 12, 8, 2, 0, 0, 0, 1, 3, 4, 4, 3, 3, 3, 3, 4, 5, 7, 9, 11, 13, 14, 14, 12, 10, 7, 4, 3, 3, 4, 5, 6, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 7, 7, 8, 9, 9, 9, 9, 7, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 6, 8, 9, 9, 9, 8, 7, 7, 6, 6, 5, 4, 3, 4, 5, 9, 12, 14, 13, 7, 0, 0, 0, 4, 16, 21, 14, 0, 0, 10, 104, 280, 524, 790, 1013, 1129, 1105, 948, 703, 437, 212, 63, 0, 0, 3, 19, 23, 14, 3, 0, 0, 0, 4, 7, 7, 5, 3, 3, 4, 6, 7, 8, 8, 9, 10, 12, 14, 15, 16, 15, 12, 9, 6, 5, 5, 6, 8, 9, 9, 8, 6, 3, 2, 2, 4, 7, 9, 8, 4, 0, 0, 0, 1, 11, 16, 12, 0, 0, 5, 70, 199, 385, 597, 786, 902, 910, 804, 607, 369, 147, 0, 0, 75, 313, 639, 981, 1256, 1391, 1352, 1151, 848, 525, 255, 78, 0, 0, 0, 11, 17, 17, 14, 8, 0, 0, 0, 45, 180, 403, 690, 981, 1202, 1288, 1213, 999, 706, 412, 180, 40, 0, 0, 11, 25, 24, 11, 0, 0, 0, 5, 12, 13, 8, 1, 0, 0, 4, 12, 15, 8, 0, 0, 24, 104, 243, 425, 614, 761, 821, 771, 617, 400, 180, 25, 0, 88, 313, 608, 897, 1103, 1172, 1087, 874, 592, 309, 90, 0, 0, 115, 321, 557, 766, 895, 912, 814, 632, 415, 219, 78, 6, 0, 0, 13, 19, 13, 3, 0, 0, 0, 5, 9, 10, 6, 0, 0, 0, 1, 10, 16, 13, 0, 0, 0, 56, 176, 353, 558, 743, 860, 875, 784, 610, 396, 189, 33, 0, 0, 149, 401, 712, 1019, 1246, 1332, 1252, 1031, 729, 426, 187, 42, 0, 0, 10, 24, 23, 11, 0, 0, 0, 0, 5, 7, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 5, 5, 6, 5, 4, 4, 5, 9, 13, 16, 16, 11, 2, 0, 0, 1, 13, 21, 16, 0, 0, 2, 84, 251, 494, 771, 1018, 1168, 1177, 1043, 806, 530, 281, 103, 7, 0, 0, 9, 28, 36, 28, 7, 0, 0, 42, 195, 457, 805, 1175, 1480, 1636, 1595, 1363, 997, 590, 239, 22, 0, 82, 303, 563, 790, 922, 929, 819, 628, 411, 219, 83, 11, 0, 0, 6, 16, 18, 15, 5, 0, 0, 6, 71, 196, 374, 578, 760, 873, 882, 780, 593, 365, 153, 7, 0, 40, 222, 477, 746, 964, 1074, 1049, 897, 664, 412, 199, 60, 0, 0, 3, 18, 21, 13, 1, 0, 0, 0, 3, 6, 7, 7, 6, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 4, 7, 9, 9, 9, 9, 10, 12, 15, 18, 19, 16, 9, 0, 0, 0, 3, 15, 21, 14, 0, 0, 8, 96, 266, 507, 774, 1003, 1130, 1119, 973, 733, 466, 233, 75, 0, 0, 0, 17, 22, 14, 3, 0, 0, 0, 4, 9, 10, 9, 6, 4, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 4, 7, 11, 15, 18, 19, 19, 16, 12, 8, 4, 1, 0, 0, 0, 0, 0, 1, 2, 3, 5, 7, 9, 9, 8, 6, 4, 2, 0, 0, 0, 0, 1, 3, 4, 4, 4, 3, 1, 0, 0, 0, 1, 2, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 5, 6, 9, 12, 15, 15, 13, 7, 2, 0, 1, 6, 10, 9, 0, 0, 0, 37, 120, 245, 395, 533, 625, 644, 583, 461, 312, 172, 68, 11, 0, 0, 6, 11, 9, 3, 0, 0, 0, 1, 3, 5, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 5, 6, 5, 2, 0, 0, 0, 4, 13, 17, 10, 0, 0, 19, 105, 261, 477, 714, 917, 1028, 1012, 866, 622, 346, 110, 0, 8, 185, 476, 810, 1102, 1278, 1291, 1141, 869, 543, 240, 31, 0, 45, 266, 576, 903, 1169, 1308, 1285, 1110, 835, 532, 270, 91, 3, 0, 0, 18, 23, 15, 2, 0, 0, 1, 9, 15, 15, 12, 8, 4, 1, 0, 0, 2, 5, 9, 12, 12, 8, 1, 0, 0, 0, 12, 21, 18, 2, 0, 0, 74, 241, 497, 805, 1098, 1300, 1355, 1246, 1005, 698, 403, 176, 42, 0, 0, 0, 12, 18, 18, 14, 4, 0, 0, 11, 110, 300, 573, 886, 1166, 1338, 1351, 1200, 930, 612, 324, 118, 10, 0, 0, 18, 26, 19, 5, 0, 0, 6, 18, 25, 23, 14, 2, 0, 0, 3, 16, 22, 14, 0, 0, 15, 116, 303, 563, 846, 1087, 1218, 1202, 1043, 787, 501, 253, 84, 1, 0, 0, 17, 22, 15, 3, 0, 0, 0, 5, 9, 9, 7, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 3, 3, 2, 2, 2, 1, 1, 1, 2, 2, 3, 4, 6, 8, 11, 13, 14, 12, 8, 2, 0, 0, 0, 6, 10, 8, 0, 0, 0, 37, 118, 240, 386, 523, 616, 639, 584, 469, 323, 183, 77, 15, 0, 0, 6, 12, 11, 5, 0, 0, 0, 0, 2, 3, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 4, 5, 6, 7, 7, 7, 6, 5, 3, 2, 1, 0, 1, 3, 7, 10, 12, 11, 7, 0, 0, 0, 0, 10, 18, 16, 3, 0, 0, 59, 193, 402, 657, 904, 1081, 1138, 1054, 849, 572, 294, 81, 0, 21, 180, 416, 669, 874, 978, 957, 817, 595, 348, 134, 3, 0, 77, 258, 482, 694, 840, 885, 821, 670, 473, 280, 128, 35, 0, 0, 0, 7, 11, 12, 9, 2, 0, 0, 9, 74, 198, 377, 584, 773, 895, 914, 825, 652, 442, 246, 100, 18, 0, 0, 8, 16, 15, 10, 9, 12, 19, 23, 21, 12, 1, 0, 0, 9, 18, 17, 3, 0, 1, 74, 235, 483, 784, 1076, 1286, 1354, 1258, 1015, 685, 347, 85, 0, 20, 249, 607, 1015, 1376, 1602, 1638, 1478, 1172, 802, 456, 195, 44, 0, 0, 4, 19, 23, 18, 8, 0, 0, 0, 37, 140, 311, 533, 765, 952, 1043, 1010, 861, 633, 382, 163, 18, 0, 21, 154, 340, 539, 705, 799, 800, 707, 548, 364, 196, 76, 11, 0, 0, 8, 14, 10, 3, 0, 0, 0, 4, 8, 10, 10, 7, 5, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 3, 8, 12, 13, 10, 2, 0, 0, 0, 11, 27, 31, 15, 0, 0, 52, 239, 564, 993, 1447, 1814, 1995, 1937, 1657, 1231, 772, 382, 122, 0, 0, 1, 28, 35, 22, 3, 0, 0, 0, 7, 13, 14, 11, 7, 4, 2, 2, 3, 3, 4, 6, 8, 11, 14, 16, 16, 14, 11, 7, 3, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 4, 7, 8, 5, 0, 0, 0, 0, 10, 21, 21, 7, 0, 0, 53, 205, 455, 774, 1101, 1356, 1471, 1414, 1201, 890, 559, 279, 92, 2, 0, 0, 18, 23, 15, 2, 0, 0, 0, 6, 11, 12, 10, 6, 3, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 3, 7, 7, 3, 0, 0, 18, 72, 164, 285, 414, 521, 580, 573, 503, 389, 258, 140, 55, 9, 0, 0, 5, 8, 6, 1, 0, 0, 3, 7, 8, 5, 0, 0, 0, 3, 11, 14, 8, 0, 0, 19, 103, 253, 458, 684, 877, 990, 989, 876, 682, 456, 250, 100, 17, 0, 0, 9, 16, 13, 5, 0, 0, 2, 10, 17, 20, 17, 11, 2, 0, 0, 0, 9, 16, 14, 2, 0, 6, 70, 205, 412, 666, 915, 1097, 1159, 1075, 862, 581, 317, 162, 181, 395, 766, 1208, 1609, 1865, 1907, 1727, 1370, 926, 497, 169, 0, 0, 120, 338, 579, 779, 894, 899, 801, 630, 429, 243, 105, 25, 0, 0, 7, 14, 13, 7, 1, 0, 3, 8, 13, 16, 16, 15, 13, 12, 10, 8, 7, 6, 6, 7, 8, 8, 7, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 3, 5, 6, 6, 6, 5, 5, 5, 5, 7, 8, 10, 12, 13, 14, 13, 12, 11, 9, 7, 6, 6, 6, 7, 7, 7, 7, 6, 4, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 3, 2, 1, 0, 0, 0, 1, 4, 7, 7, 3, 0, 0, 0, 2, 13, 19, 14, 0, 0, 9, 100, 284, 557, 881, 1191, 1411, 1483, 1387, 1149, 831, 508, 245, 76, 0, 0, 2, 18, 20, 12, 0, 0, 0, 0, 5, 8, 7, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 1, 1, 1, 2, 3, 4, 4, 5, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 3, 5, 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, 1, 3, 3, 4, 3, 3, 3, 3, 4, 5, 5, 5, 4, 2, 1, 0, 1, 3, 6, 6, 4, 0, 0, 0, 0, 9, 16, 14, 1, 0, 0, 71, 228, 476, 790, 1112, 1370, 1500, 1466, 1278, 983, 654, 361, 149, 31, 0, 0, 4, 12, 12, 7, 2, 0, 0, 0, 21, 91, 222, 414, 645, 876, 1054, 1136, 1101, 955, 735, 491, 273, 115, 25, 0, 0, 7, 14, 13, 6, 0, 0, 1, 7, 11, 12, 10, 6, 2, 0, 0, 1, 5, 8, 9, 6, 0, 0, 0, 0, 9, 17, 14, 0, 0, 4, 84, 255, 521, 854, 1193, 1465, 1601, 1566, 1370, 1061, 713, 399, 167, 34, 0, 0, 9, 26, 28, 16, 0, 0, 1, 64, 190, 382, 621, 868, 1069, 1176, 1155, 1009, 771, 503, 279, 162, 191, 365, 645, 962, 1236, 1397, 1403, 1253, 985, 669, 386, 206, 173, 293, 531, 824, 1094, 1272, 1315, 1210, 988, 703, 427, 226, 146, 202, 372, 608, 846, 1024, 1097, 1050, 898, 681, 449, 247, 102, 22, 0, 0, 6, 14, 13, 6, 0, 0, 1, 32, 92, 183, 298, 418, 523, 587, 597, 550, 455, 335, 213, 110, 39, 1, 0, 0, 8, 14, 11, 0, 0, 2, 51, 153, 311, 513, 726, 909, 1020, 1028, 928, 738, 500, 272, 112, 65, 153, 366, 664, 984, 1252, 1409, 1417, 1279, 1029, 728, 439, 212, 68, 1, 0, 0, 11, 16, 13, 4, 0, 0, 0, 34, 109, 231, 395, 578, 749, 869, 911, 860, 727, 536, 326, 140, 19, 0, 72, 256, 519, 816, 1091, 1286, 1357, 1289, 1098, 829, 542, 293, 117, 22, 0, 0, 9, 15, 12, 3, 0, 0, 0, 3, 7, 9, 9, 8, 7, 6, 5, 5, 4, 3, 3, 2, 3, 3, 3, 2, 1, 1, 0, 0, 0, 0, 1, 2, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 4, 6, 7, 9, 12, 14, 16, 16, 13, 9, 3, 0, 0, 0, 4, 6, 3, 0, 0, 18, 75, 179, 328, 503, 675, 808, 870, 847, 742, 580, 398, 230, 104, 28, 0, 0, 2, 8, 8, 4, 0, 0, 0, 1, 3, 4, 4, 2, 0, 0, 0, 0, 1, 3, 4, 4, 3, 0, 0, 0, 0, 2, 4, 2, 0, 0, 8, 40, 103, 197, 314, 435, 539, 603, 613, 566, 473, 353, 230, 126, 53, 12, 0, 0, 2, 4, 3, 0, 0, 0, 4, 7, 7, 4, 0, 0, 0, 2, 6, 6, 1, 0, 0, 35, 118, 260, 452, 671, 878, 1031, 1095, 1056, 920, 719, 495, 290, 134, 39, 0, 0, 1, 8, 8, 4, 0, 0, 3, 8, 13, 14, 11, 6, 2, 0, 0, 0, 0, 0, 0, 1, 1, 3, 4, 5, 5, 5, 5, 5, 6, 7, 8, 9, 8, 8, 6, 5, 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, 2, 2, 3, 3, 3, 3, 3, 2, 1, 0, 0, 0, 4, 13, 25, 41, 58, 71, 79, 80, 74, 62, 47, 33, 22, 16, 16, 22, 32, 44, 56, 65, 69, 67, 58, 46, 32, 18, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 4, 6, 8, 7, 4, 0, 0, 0, 1, 7, 9, 4, 0, 0, 25, 108, 259, 477, 736, 995, 1203, 1316, 1310, 1186, 971, 710, 452, 239, 93, 15, 0, 0, 10, 15, 9, 0, 0, 12, 65, 159, 288, 439, 587, 705, 768, 762, 685, 551, 391, 239, 134, 105, 165, 308, 510, 731, 927, 1057, 1094, 1031, 883, 682, 467, 275, 131, 42, 2, 0, 0, 6, 7, 3, 0, 0, 0, 0, 3, 4, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 6, 6, 3, 0, 0, 0, 0, 3, 5, 3, 0, 0, 13, 65, 164, 314, 502, 702, 880, 1002, 1041, 990, 858, 673, 471, 285, 141, 50, 6, 0, 0, 5, 6, 4, 0, 0, 0, 0, 2, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 5, 7, 9, 10, 7, 3, 0, 0, 0, 3, 7, 6, 0, 0, 2, 50, 157, 333, 571, 842, 1105, 1312, 1424, 1418, 1297, 1084, 820, 552, 320, 149, 47, 2, 0, 0, 6, 6, 2, 0, 0, 1, 6, 11, 13, 13, 10, 8, 7, 7, 8, 10, 11, 10, 9, 8, 7, 6, 5, 5, 4, 3, 2, 1, 1, 1, 3, 4, 6, 7, 7, 7, 6, 5, 3, 2, 1, 0, 0, 1, 3, 6, 8, 8, 6, 3, 0, 0, 0, 1, 3, 2, 0, 0, 8, 48, 127, 251, 414, 596, 773, 915, 998, 1008, 944, 816, 648, 465, 296, 159, 66, 15, 0, 0, 2, 4, 0, 0, 4, 39, 110, 221, 366, 530, 689, 819, 897, 910, 857, 746, 596, 434, 281, 158, 71, 22, 1, 0, 0, 1, 1, 0, 0, 2, 5, 8, 7, 5, 1, 0, 0, 2, 3, 0, 0, 0, 20, 80, 193, 363, 581, 826, 1066, 1264, 1387, 1416, 1343, 1180, 956, 705, 465, 266, 123, 39, 2, 0, 0, 3, 4, 1, 0, 0, 0, 4, 7, 8, 8, 5, 3, 2, 1, 2, 3, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 6, 23, 56, 105, 171, 247, 325, 395, 446, 471, 465, 430, 370, 295, 216, 143, 83, 40, 14, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 12, 44, 104, 193, 310, 444, 583, 708, 802, 851, 848, 792, 691, 559, 416, 279, 165, 82, 30, 5, 0, 0, 1, 1, 1, 0, 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, 0, 0, 0, 2, 4, 6, 9, 10, 11, 12, 12, 11, 10, 8, 6, 4, 2, 1, 0, 0, 0, 0, 8, 24, 54, 98, 156, 224, 295, 362, 414, 444, 450, 430, 389, 333, 269, 204, 145, 94, 55, 28, 11, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 20, 52, 104, 177, 270, 374, 482, 582, 662, 711, 723, 696, 633, 543, 437, 327, 225, 140, 76, 34, 10, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 4, 16, 36, 67, 110, 162, 219, 276, 328, 369, 393, 399, 385, 352, 306, 251, 194, 140, 95, 59, 34, 17, 8, 2, 0, 0, 0, 1, 2, 4, 6, 7, 8, 8, 7, 6, 5, 4, 4, 3, 3, 3, 2, 1, 0, 0, 0, 9, 27, 60, 108, 175, 257, 352, 452, 549, 633, 694, 725, 722, 686, 620, 535, 439, 342, 253, 177, 115, 69, 37, 16, 5, 0, 0, 0, 2, 5, 8, 10, 12, 12, 12, 12, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 11, 24, 45, 75, 115, 164, 221, 282, 343, 401, 450, 489, 513, 522, 516, 500, 477, 454, 438, 431, 438, 457, 486, 521, 558, 591, 615, 627, 623, 601, 562, 508, 445, 375, 306, 239, 180, 129, 88, 58, 40, 36, 44, 63, 93, 131, 176, 226, 281, 340, 398, 454, 503, 539, 559, 559, 540, 504, 456, 400, 342, 286, 234, 187, 146, 111, 83, 65, 59, 66, 86, 118, 160, 211, 269, 332, 399, 465, 528, 582, 622, 646, 651, 638, 608, 564, 510, 449, 384, 320, 260, 204, 157, 117, 84, 58, 38, 23, 12, 5, 1, 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, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 5, 6, 8, 12, 16, 22, 30, 39, 50, 65, 84, 106, 131, 159, 189, 220, 252, 283, 315, 345, 375, 404, 430, 454, 475, 493, 506, 514, 518, 517, 513, 505, 496, 486, 475, 462, 448, 431, 413, 393, 374, 355, 338, 321, 306, 290, 275, 260, 246, 234, 224, 216, 211, 207, 206, 206, 208, 211, 216, 220, 224, 227, 230, 231, 233, 235, 238, 243, 248, 254, 261, 268, 274, 279, 284, 289, 294, 299, 305, 311, 317, 321, 324, 325, 323, 320, 316, 309, 300, 289, 277, 263, 248, 234, 219, 204, 188, 172, 155, 138, 121, 105, 91, 78, 68, 58, 49, 41, 33, 27, 21, 17, 14, 12, 11, 9, 7, 5, 3, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 2, 1, 0, 0, 0, 0, 1, 2, 3, 3, 3],
"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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 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, 5, 7, 8, 10, 11, 11, 12, 13, 15, 17, 20, 23, 25, 27, 28, 30, 32, 35, 38, 42, 46, 51, 56, 61, 67, 71, 75, 79, 82, 85, 88, 92, 97, 103, 107, 111, 113, 114, 114, 113, 112, 113, 113, 115, 116, 118, 119, 119, 120, 122, 124, 126, 129, 132, 135, 137, 138, 139, 141, 143, 146, 149, 152, 155, 156, 157, 157, 157, 158, 161, 163, 166, 167, 167, 165, 163, 161, 159, 158, 158, 157, 155, 152, 148, 144, 141, 138, 136, 135, 135, 134, 133, 131, 128, 124, 119, 115, 111, 108, 106, 105, 104, 103, 102, 99, 95, 90, 86, 82, 79, 77, 77, 77, 78, 77, 75, 71, 68, 64, 62, 61, 60, 60, 59, 58, 56, 53, 51, 49, 48, 46, 44, 41, 39, 37, 36, 36, 37, 38, 37, 36, 35, 34, 33, 32, 31, 30, 28, 25, 22, 19, 19, 19, 21, 23, 24, 24, 23, 21, 19, 18, 17, 17, 17, 17, 17, 16, 15, 14, 14, 13, 13, 13, 13, 13, 13, 13, 14, 14, 13, 13, 12, 11, 10, 10, 9, 9, 9, 8, 7, 7, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 1, 1, 2, 3, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 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, 2, 2, 1, 0, 0, 0, 0, 2, 3, 6, 8, 10, 12, 15, 19, 24, 30, 38, 46, 55, 65, 75, 87, 100, 114, 130, 148, 165, 183, 199, 214, 227, 237, 246, 252, 255, 257, 255, 252, 247, 240, 232, 223, 213, 203, 192, 182, 172, 162, 154, 147, 142, 139, 139, 142, 148, 156, 165, 175, 184, 191, 196, 199, 201, 203, 205, 207, 207, 206, 201, 194, 184, 172, 160, 149, 137, 126, 114, 101, 88, 76, 64, 55, 47, 41, 35, 31, 26, 21, 17, 12, 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, 0, 0, 0, 0, 0, 0, 0, 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, 10, 13, 16, 19, 22, 25, 30, 37, 44, 53, 61, 71, 80, 90, 100, 112, 123, 134, 145, 155, 165, 173, 180, 185, 188, 190, 190, 188, 186, 183, 179, 174, 166, 158, 148, 138, 129, 121, 115, 110, 106, 103, 101, 101, 103, 107, 113, 120, 128, 136, 144, 151, 157, 163, 170, 177, 185, 192, 197, 198, 196, 189, 180, 169, 158, 149, 141, 133, 125, 115, 104, 91, 78, 65, 55, 47, 41, 36, 32, 27, 23, 18, 13, 9, 6, 4, 2, 2, 1, 1, 1, 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, 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, 1, 2, 3, 4, 5, 6, 7, 9, 11, 15, 19, 25, 31, 39, 47, 55, 65, 76, 89, 104, 122, 141, 161, 181, 199, 216, 231, 245, 260, 276, 293, 309, 323, 335, 343, 348, 350, 351, 353, 354, 357, 359, 362, 364, 365, 366, 366, 364, 361, 356, 351, 347, 346, 347, 351, 357, 362, 365, 365, 362, 358, 354, 351, 349, 349, 349, 348, 345, 340, 334, 327, 321, 313, 306, 298, 289, 280, 271, 262, 254, 246, 237, 227, 214, 199, 183, 168, 153, 140, 128, 116, 105, 93, 81, 69, 58, 48, 40, 34, 30, 26, 24, 21, 18, 15, 12, 9, 7, 5, 4, 4, 4, 4, 5, 5, 6, 7, 7, 8, 10, 12, 14, 17, 21, 25, 29, 35, 42, 50, 60, 72, 85, 100, 116, 132, 150, 168, 188, 208, 228, 248, 267, 283, 296, 306, 313, 317, 320, 321, 323, 325, 327, 329, 330, 328, 323, 315, 305, 294, 282, 270, 259, 248, 237, 225, 212, 196, 179, 161, 143, 126, 111, 97, 85, 75, 65, 56, 47, 39, 32, 26, 21, 17, 14, 11, 10, 8, 7, 6, 5, 3, 2, 1, 0, 1, 3, 6, 8, 10, 11, 11, 12, 12, 14, 17, 22, 28, 34, 42, 50, 59, 70, 82, 96, 112, 128, 145, 162, 177, 190, 201, 210, 217, 221, 224, 225, 224, 220, 214, 204, 191, 175, 159, 142, 126, 112, 99, 87, 76, 65, 54, 45, 37, 32, 28, 26, 25, 24, 24, 25, 26, 30, 35, 41, 49, 57, 66, 76, 87, 99, 112, 126, 141, 155, 168, 179, 187, 194, 199, 202, 203, 203, 200, 193, 183, 170, 156, 142, 128, 115, 103, 91, 80, 68, 58, 49, 41, 34, 28, 22, 17, 13, 10, 9, 8, 8, 8, 7, 5, 4, 3, 3, 4, 5, 7, 9, 10, 11, 12, 14, 19, 24, 32, 41, 51, 63, 76, 90, 106, 122, 138, 154, 171, 187, 203, 217, 230, 240, 246, 250, 251, 250, 246, 239, 230, 218, 204, 187, 171, 154, 140, 128, 117, 109, 103, 100, 99, 101, 108, 119, 132, 148, 164, 179, 194, 209, 225, 243, 263, 283, 302, 316, 326, 331, 334, 336, 339, 344, 350, 357, 363, 367, 369, 368, 366, 363, 361, 359, 357, 354, 350, 346, 340, 333, 325, 316, 307, 298, 289, 281, 274, 267, 261, 254, 245, 235, 222, 208, 191, 174, 155, 137, 119, 102, 87, 74, 63, 54, 46, 38, 31, 24, 19, 15, 12, 11, 10, 10, 8, 6, 4, 2, 1, 0, 0, 1, 1, 2, 2, 4, 5, 8, 11, 14, 18, 23, 28, 35, 43, 53, 64, 78, 94, 110, 126, 143, 158, 174, 189, 203, 217, 228, 235, 239, 239, 234, 227, 216, 204, 190, 175, 159, 143, 128, 113, 99, 86, 74, 63, 51, 39, 28, 19, 12, 8, 6, 6, 6, 7, 6, 6, 5, 3, 3, 2, 3, 4, 6, 8, 10, 12, 13, 14, 16, 19, 23, 30, 38, 48, 61, 74, 88, 104, 119, 135, 151, 165, 179, 191, 201, 210, 217, 222, 225, 226, 222, 215, 203, 188, 170, 151, 133, 116, 101, 88, 76, 64, 54, 44, 34, 26, 20, 15, 12, 10, 8, 7, 6, 4, 3, 3, 3, 3, 3, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 4, 3, 2, 2, 1, 1, 2, 3, 4, 5, 5, 4, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 5, 6, 6, 6, 6, 7, 9, 12, 17, 23, 30, 38, 47, 58, 70, 83, 99, 115, 132, 149, 166, 181, 196, 208, 219, 227, 231, 231, 226, 216, 204, 189, 173, 157, 141, 125, 109, 93, 78, 65, 53, 44, 37, 31, 26, 21, 16, 11, 8, 5, 4, 3, 4, 4, 5, 5, 4, 4, 3, 3, 2, 2, 3, 3, 3, 3, 4, 5, 8, 11, 16, 21, 27, 34, 42, 52, 63, 78, 94, 111, 129, 146, 162, 177, 192, 206, 219, 230, 238, 242, 241, 234, 223, 210, 196, 183, 169, 157, 145, 134, 125, 118, 114, 115, 121, 130, 142, 156, 171, 186, 201, 217, 231, 244, 254, 260, 261, 258, 249, 237, 222, 206, 189, 171, 153, 135, 117, 99, 84, 70, 59, 50, 43, 36, 30, 25, 19, 14, 10, 8, 6, 5, 5, 6, 6, 6, 6, 5, 3, 2, 1, 0, 1, 2, 3, 4, 5, 6, 6, 5, 3, 1, 0, 0, 1, 2, 4, 5, 6, 5, 3, 1, 1, 1, 1, 2, 3, 4, 4, 5, 5, 5, 5, 5, 5, 6, 7, 10, 14, 18, 23, 29, 36, 45, 56, 69, 84, 101, 119, 138, 158, 178, 198, 218, 236, 250, 261, 268, 270, 268, 262, 251, 237, 219, 199, 178, 159, 142, 129, 120, 115, 113, 114, 118, 125, 134, 148, 164, 184, 206, 228, 250, 271, 289, 306, 320, 332, 342, 350, 355, 358, 360, 362, 365, 369, 375, 382, 388, 393, 395, 394, 391, 387, 384, 382, 383, 384, 385, 386, 385, 383, 380, 377, 375, 373, 373, 373, 374, 374, 375, 376, 378, 379, 379, 379, 377, 374, 371, 368, 366, 363, 361, 358, 355, 351, 347, 343, 341, 340, 338, 336, 332, 328, 322, 315, 307, 297, 283, 266, 245, 221, 196, 172, 149, 129, 111, 94, 79, 65, 52, 40, 30, 23, 19, 16, 14, 14, 13, 13, 13, 13, 14, 17, 21, 27, 36, 46, 59, 74, 93, 115, 141, 168, 198, 227, 254, 280, 303, 321, 335, 343, 345, 340, 329, 314, 294, 271, 246, 220, 193, 165, 138, 112, 88, 69, 53, 42, 34, 28, 23, 18, 13, 8, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 7, 11, 15, 21, 28, 37, 49, 63, 79, 99, 120, 142, 164, 186, 206, 223, 237, 248, 256, 261, 261, 257, 247, 232, 212, 190, 167, 144, 123, 104, 88, 72, 57, 44, 32, 24, 18, 14, 12, 10, 8, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 2, 1, 0, 0, 0, 1, 3, 5, 8, 12, 16, 21, 28, 39, 53, 71, 92, 114, 138, 162, 186, 209, 233, 256, 279, 301, 319, 332, 340, 343, 344, 343, 342, 342, 343, 345, 346, 346, 345, 344, 342, 341, 339, 337, 333, 328, 322, 317, 313, 310, 311, 312, 314, 315, 314, 309, 300, 288, 272, 254, 234, 212, 189, 165, 142, 120, 101, 84, 69, 55, 43, 32, 22, 15, 10, 8, 7, 7, 8, 9, 9, 10, 12, 15, 19, 25, 33, 44, 58, 74, 93, 114, 135, 156, 176, 195, 211, 224, 234, 239, 240, 236, 227, 215, 199, 180, 161, 140, 120, 100, 81, 64, 49, 37, 27, 20, 15, 12, 9, 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, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 4, 4, 4, 3, 2, 1, 0, 0, 0, 1, 2, 3, 4, 5, 5, 5, 4, 3, 2, 2, 2, 2, 3, 5, 6, 7, 8, 7, 6, 5, 3, 3, 3, 4, 6, 7, 8, 8, 8, 7, 6, 5, 5, 4, 4, 4, 4, 4, 5, 6, 7, 8, 8, 7, 7, 6, 6, 7, 7, 7, 6, 5, 3, 2, 1, 2, 3, 5, 7, 8, 8, 7, 6, 4, 2, 2, 1, 2, 3, 4, 4, 4, 4, 3, 3, 3, 4, 5, 5, 6, 5, 4, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 3, 3, 4, 5, 6, 9, 13, 18, 25, 32, 41, 53, 67, 85, 108, 134, 163, 193, 222, 249, 271, 287, 298, 302, 302, 296, 285, 270, 251, 228, 202, 175, 148, 122, 99, 79, 62, 48, 37, 28, 21, 16, 12, 10, 9, 8, 8, 8, 9, 11, 13, 16, 19, 24, 31, 39, 50, 64, 80, 98, 118, 138, 158, 177, 192, 204, 211, 213, 209, 201, 189, 174, 156, 138, 120, 102, 86, 71, 58, 46, 36, 26, 19, 13, 9, 7, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 4, 3, 3, 3, 4, 5, 6, 6, 6, 6, 6, 8, 12, 17, 23, 31, 40, 52, 68, 89, 114, 143, 173, 203, 229, 252, 271, 285, 295, 301, 301, 295, 282, 262, 238, 210, 183, 159, 138, 123, 112, 105, 103, 105, 112, 126, 147, 174, 207, 242, 277, 308, 334, 353, 365, 372, 375, 375, 373, 369, 365, 359, 354, 350, 348, 348, 347, 346, 341, 332, 318, 299, 276, 252, 226, 199, 172, 145, 120, 97, 77, 61, 47, 36, 27, 20, 15, 12, 11, 10, 10, 10, 9, 8, 6, 5, 4, 5, 6, 7, 7, 7, 7, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 9, 10, 10, 10, 10, 10, 9, 9, 9, 10, 13, 17, 23, 31, 41, 52, 66, 82, 102, 123, 146, 171, 195, 217, 236, 251, 261, 264, 259, 248, 230, 208, 184, 159, 136, 115, 96, 78, 63, 49, 38, 29, 22, 18, 15, 13, 11, 10, 9, 8, 8, 7, 6, 5, 5, 4, 4, 5, 6, 7, 7, 7, 6, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 8, 9, 10, 10, 9, 8, 7, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 2, 3, 4, 4, 3, 1, 0, 0, 0, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 2, 1, 1, 0, 1, 2, 3, 4, 4, 4, 4, 3, 3, 4, 6, 9, 14, 21, 30, 41, 55, 72, 93, 116, 143, 173, 204, 235, 264, 290, 312, 330, 342, 348, 351, 349, 345, 340, 336, 335, 336, 340, 345, 350, 352, 349, 340, 324, 303, 278, 250, 221, 192, 164, 137, 112, 89, 69, 52, 38, 27, 19, 13, 10, 8, 8, 8, 8, 8, 8, 8, 7, 6, 6, 5, 5, 5, 4, 4, 3, 2, 1, 1, 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, 1, 2, 3, 5, 7, 10, 15, 24, 36, 53, 75, 100, 129, 159, 191, 222, 253, 280, 303, 320, 330, 334, 333, 328, 320, 313, 306, 301, 297, 294, 293, 292, 291, 289, 283, 273, 258, 238, 213, 185, 157, 131, 107, 86, 68, 52, 39, 28, 20, 15, 12, 11, 10, 9, 7, 6, 4, 3, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 3, 6, 9, 12, 17, 23, 32, 45, 63, 86, 111, 138, 165, 191, 214, 233, 246, 254, 254, 248, 235, 216, 193, 168, 141, 115, 91, 69, 51, 36, 25, 17, 13, 10, 9, 9, 8, 8, 6, 5, 4, 3, 4, 5, 7, 11, 15, 22, 31, 45, 63, 87, 117, 151, 189, 228, 266, 302, 332, 354, 367, 370, 363, 345, 318, 285, 248, 209, 173, 140, 113, 93, 79, 74, 75, 83, 97, 118, 145, 175, 208, 241, 272, 298, 318, 332, 340, 344, 346, 348, 350, 353, 357, 362, 367, 372, 377, 380, 381, 376, 365, 346, 320, 287, 251, 213, 176, 143, 113, 88, 68, 51, 38, 29, 23, 19, 18, 18, 19, 19, 19, 17, 14, 11, 10, 9, 10, 12, 13, 13, 13, 11, 9, 8, 8, 9, 10, 11, 11, 10, 9, 7, 6, 5, 5, 5, 5, 6, 7, 7, 7, 7, 6, 5, 5, 4, 5, 5, 5, 6, 6, 6, 6, 6, 8, 11, 17, 26, 40, 58, 81, 109, 142, 179, 221, 265, 310, 351, 386, 412, 427, 432, 428, 419, 407, 395, 384, 374, 367, 362, 360, 361, 363, 365, 365, 362, 356, 351, 347, 347, 352, 362, 374, 388, 400, 410, 415, 415, 410, 401, 387, 370, 353, 338, 326, 318, 315, 315, 317, 318, 317, 312, 300, 283, 260, 232, 202, 171, 140, 112, 88, 67, 50, 36, 26, 18, 14, 12, 12, 12, 11, 10, 8, 6, 4, 3, 3, 3, 4, 4, 4, 3, 3, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 4, 3, 2, 0, 0, 0, 0, 0, 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, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 6, 7, 8, 9, 9, 10, 10, 10, 11, 14, 19, 30, 46, 69, 98, 133, 172, 212, 252, 288, 320, 345, 363, 370, 366, 351, 324, 287, 244, 199, 156, 118, 87, 64, 48, 36, 28, 22, 18, 15, 12, 10, 9, 9, 9, 9, 10, 10, 9, 9, 8, 7, 7, 7, 7, 8, 8, 7, 6, 5, 4, 5, 5, 6, 7, 8, 7, 7, 5, 4, 3, 3, 3, 3, 4, 5, 5, 6, 6, 5, 5, 5, 5, 5, 6, 6, 7, 7, 6, 5, 4, 3, 3, 4, 4, 5, 5, 6, 6, 7, 8, 9, 9, 9, 8, 7, 5, 4, 4, 4, 5, 5, 6, 5, 5, 4, 3, 3, 4, 5, 7, 8, 8, 9, 8, 8, 8, 9, 12, 17, 24, 33, 46, 63, 86, 114, 149, 188, 227, 263, 292, 311, 319, 316, 303, 282, 255, 225, 191, 156, 122, 91, 64, 43, 27, 17, 11, 8, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 5, 5, 6, 5, 4, 3, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 5, 7, 9, 9, 9, 8, 7, 5, 4, 3, 2, 2, 3, 3, 4, 4, 4, 3, 2, 1, 0, 0, 2, 3, 4, 5, 5, 4, 3, 2, 1, 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, 1, 2, 2, 2, 2, 2, 3, 3, 4, 4, 3, 1, 0, 0, 0, 2, 5, 9, 16, 25, 38, 57, 81, 111, 146, 183, 219, 253, 280, 299, 306, 302, 286, 260, 227, 191, 154, 121, 91, 66, 46, 31, 20, 12, 8, 5, 4, 4, 4, 3, 3, 2, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 2, 1, 1, 1, 2, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 2, 5, 11, 19, 31, 49, 72, 102, 139, 182, 227, 272, 311, 341, 359, 365, 357, 337, 307, 268, 224, 179, 135, 97, 67, 44, 29, 19, 13, 10, 8, 6, 4, 4, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 3, 3, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 3, 7, 16, 30, 50, 76, 106, 141, 179, 216, 251, 282, 303, 314, 310, 293, 265, 227, 186, 145, 109, 78, 54, 36, 23, 13, 6, 2, 1, 1, 2, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 6, 14, 27, 47, 74, 109, 151, 199, 248, 294, 333, 361, 377, 379, 372, 357, 338, 320, 306, 298, 299, 308, 323, 341, 357, 367, 365, 350, 322, 284, 239, 192, 147, 106, 72, 46, 27, 15, 8, 4, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 5, 13, 28, 50, 81, 120, 167, 218, 272, 322, 365, 396, 413, 414, 402, 380, 354, 331, 315, 309, 315, 331, 353, 376, 394, 402, 398, 378, 345, 302, 251, 199, 150, 107, 73, 47, 29, 18, 11, 8, 6, 5, 4, 4, 3, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 7, 18, 36, 64, 101, 147, 201, 259, 316, 369, 410, 437, 444, 432, 402, 357, 303, 245, 189, 139, 95, 60, 34, 16, 7, 5, 9, 19, 33, 52, 76, 107, 145, 190, 240, 289, 331, 361, 374, 370, 348, 312, 268, 221, 174, 131, 94, 65, 43, 27, 17, 12, 9, 9, 10, 11, 11, 11, 10, 9, 7, 6, 4, 3, 2, 2, 2, 2, 3, 4, 5, 6, 7, 7, 6, 5, 3, 3, 2, 3, 4, 4, 5, 6, 5, 4, 3, 2, 2, 2, 5, 10, 19, 31, 49, 73, 106, 147, 194, 243, 289, 326, 349, 357, 348, 325, 290, 248, 203, 158, 117, 82, 53, 32, 18, 10, 6, 4, 4, 3, 3, 2, 2, 1, 2, 2, 2, 2, 1, 1, 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, 6, 15, 32, 56, 88, 130, 180, 236, 293, 346, 389, 416, 424, 412, 382, 338, 286, 230, 175, 126, 84, 51, 27, 13, 5, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 1, 0, 0, 0, 0, 2, 3, 5, 5, 5, 3, 2, 1, 0, 0, 0, 0, 1, 2, 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, 1, 2, 2, 3, 3, 3, 3, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 8, 20, 38, 65, 99, 140, 186, 232, 275, 310, 334, 343, 337, 315, 281, 239, 193, 148, 107, 72, 46, 26, 13, 6, 3, 4, 9, 17, 30, 49, 74, 106, 143, 184, 224, 260, 287, 302, 301, 286, 258, 220, 178, 136, 98, 66, 42, 25, 14, 8, 5, 6, 10, 18, 32, 52, 80, 117, 161, 212, 264, 314, 356, 386, 400, 397, 380, 354, 325, 301, 287, 289, 307, 339, 377, 416, 446, 461, 459, 440, 409, 371, 336, 310, 298, 304, 324, 355, 389, 417, 433, 432, 415, 386, 352, 322, 304, 303, 319, 349, 388, 426, 456, 471, 466, 441, 397, 340, 276, 210, 150, 99, 60, 33, 17, 10, 9, 14, 24, 40, 65, 100, 144, 196, 251, 303, 347, 376, 387, 378, 351, 310, 260, 206, 154, 108, 70, 41, 21, 10, 4, 2, 2, 3, 3, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 12, 28, 53, 86, 127, 173, 222, 269, 311, 342, 359, 358, 339, 304, 258, 205, 153, 106, 67, 39, 19, 8, 1, 0, 0, 1, 9, 23, 46, 80, 125, 181, 246, 316, 383, 440, 479, 494, 483, 445, 388, 320, 247, 180, 121, 75, 42, 19, 6, 2, 6, 18, 40, 71, 113, 164, 222, 283, 340, 387, 419, 431, 421, 392, 350, 302, 258, 227, 212, 216, 236, 264, 294, 316, 326, 320, 298, 265, 223, 177, 133, 93, 60, 35, 18, 7, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 3, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 7, 17, 34, 59, 93, 138, 190, 246, 300, 345, 374, 383, 371, 339, 292, 237, 180, 128, 84, 50, 26, 11, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 14, 31, 59, 98, 148, 206, 269, 330, 383, 421, 438, 433, 405, 359, 300, 234, 170, 113, 66, 33, 12, 2, 0, 6, 18, 38, 67, 105, 154, 210, 270, 329, 379, 416, 433, 430, 408, 372, 329, 288, 259, 247, 255, 282, 322, 365, 400, 419, 415, 389, 343, 284, 221, 160, 108, 67, 37, 19, 8, 2, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 0, 0, 0, 0, 4, 16, 40, 78, 130, 195, 268, 344, 414, 470, 505, 513, 492, 446, 381, 305, 228, 157, 99, 55, 26, 9, 1, 0, 0, 2, 4, 5, 5, 5, 4, 3, 3, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 4, 4, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 8, 23, 49, 88, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 139, 202, 270, 337, 396, 437, 455, 445, 410, 354, 284, 212, 145, 89, 48, 21, 6, 0, 0, 3, 11, 26, 49, 84, 131, 188, 249, 307, 355, 385, 392, 375, 339, 287, 229, 170, 117, 74, 42, 20, 8, 1, 0, 0, 0, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 3, 3, 3, 3, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 1, 0, 0, 0, 0, 0, 0, 0, 2, 10, 28, 59, 105, 165, 237, 312, 384, 441, 474, 480, 458, 413, 357, 300, 256, 234, 237, 264, 308, 359, 404, 435, 442, 423, 381, 321, 252, 183, 122, 74, 39, 18, 6, 2, 2, 4, 6, 8, 10, 11, 11, 11, 10, 10, 9, 9, 10, 10, 11, 12, 12, 12, 11, 10, 8, 7, 6, 6, 7, 9, 11, 12, 12, 12, 10, 8, 6, 4, 3, 2, 1, 0, 0, 0, 2, 10, 25, 50, 85, 131, 183, 236, 284, 321, 340, 340, 319, 282, 234, 180, 128, 82, 46, 22, 8, 1, 1, 2, 5, 6, 6, 6, 4, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 3, 3, 2, 1, 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, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 12, 28, 56, 96, 147, 206, 266, 319, 356, 371, 362, 330, 280, 221, 161, 108, 66, 35, 16, 7, 3, 3, 5, 7, 9, 10, 11, 11, 11, 11, 10, 9, 8, 6, 4, 2, 1, 1, 6, 16, 36, 68, 114, 174, 247, 324, 397, 455, 490, 494, 468, 414, 341, 261, 183, 115, 64, 29, 10, 1, 0, 0, 4, 13, 29, 57, 99, 157, 227, 303, 375, 435, 472, 481, 460, 412, 344, 266, 189, 121, 68, 32, 10, 0, 0, 0, 7, 22, 49, 91, 150, 223, 303, 381, 446, 488, 501, 483, 439, 381, 321, 273, 249, 253, 284, 334, 390, 437, 465, 464, 435, 380, 309, 232, 159, 98, 52, 22, 6, 0, 0, 1, 4, 7, 9, 9, 9, 9, 7, 6, 5, 4, 3, 1, 0, 0, 0, 7, 23, 53, 98, 160, 235, 317, 396, 462, 505, 517, 496, 445, 371, 287, 203, 129, 72, 34, 12, 1, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 3, 2, 1, 1, 0, 1, 1, 3, 4, 6, 7, 8, 8, 7, 7, 5, 4, 4, 3, 3, 4, 5, 5, 5, 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, 1, 1, 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, 0, 0, 0, 1, 2, 3, 3, 3, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 4, 5, 6, 5, 4, 2, 0, 0, 0, 0, 0, 0, 4, 16, 40, 79, 134, 204, 283, 361, 427, 470, 484, 465, 416, 345, 264, 183, 113, 60, 25, 6, 0, 0, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 2, 2, 2, 2, 3, 4, 5, 5, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 21, 53, 104, 173, 254, 338, 414, 470, 496, 490, 452, 388, 308, 224, 147, 84, 39, 13, 0, 0, 0, 4, 6, 8, 8, 7, 6, 5, 4, 3, 2, 2, 3, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 6, 7, 8, 8, 9, 9, 10, 11, 12, 13, 13, 12, 10, 7, 5, 3, 1, 0, 0, 0, 10, 35, 79, 145, 230, 328, 427, 511, 568, 588, 568, 511, 426, 327, 228, 142, 75, 32, 8, 0, 0, 0, 2, 3, 4, 4, 4, 4, 3, 2, 1, 0, 0, 0, 1, 5, 15, 35, 68, 117, 180, 252, 325, 385, 423, 431, 406, 354, 282, 205, 132, 74, 33, 10, 0, 0, 0, 0, 0, 0, 6, 23, 55, 106, 177, 264, 360, 449, 519, 557, 555, 514, 444, 363, 290, 243, 234, 265, 330, 411, 491, 549, 571, 553, 496, 412, 313, 217, 134, 71, 30, 8, 0, 0, 0, 0, 1, 4, 15, 38, 76, 134, 209, 296, 383, 458, 507, 521, 498, 444, 372, 302, 252, 233, 251, 303, 376, 454, 517, 553, 550, 509, 435, 341, 243, 153, 82, 35, 8, 0, 0, 4, 8, 12, 13, 14, 15, 15, 16, 16, 15, 14, 13, 11, 9, 7, 6, 5, 4, 6, 7, 9, 11, 11, 10, 8, 5, 3, 2, 2, 2, 4, 5, 6, 6, 6, 5, 5, 5, 5, 6, 7, 8, 9, 8, 6, 5, 3, 1, 1, 0, 0, 0, 2, 10, 31, 68, 126, 204, 296, 393, 480, 542, 567, 552, 498, 419, 332, 257, 209, 200, 230, 290, 364, 436, 488, 507, 490, 439, 362, 273, 186, 111, 55, 20, 3, 0, 0, 0, 0, 0, 0, 8, 30, 71, 132, 211, 299, 387, 461, 510, 525, 503, 447, 368, 277, 187, 111, 54, 19, 2, 0, 0, 2, 5, 5, 5, 5, 6, 7, 8, 9, 11, 12, 13, 13, 12, 11, 9, 7, 6, 5, 5, 5, 4, 4, 3, 3, 4, 4, 5, 5, 4, 3, 2, 1, 1, 2, 4, 5, 6, 7, 7, 6, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 3, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 4, 5, 6, 6, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 2, 2, 1, 1, 1, 1, 1, 2, 2, 3, 4, 4, 4, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 3, 4, 5, 5, 4, 3, 2, 1, 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, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 3, 4, 4, 4, 2, 1, 0, 0, 0, 0, 1, 2, 2, 3, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 3, 20, 57, 117, 199, 296, 393, 477, 530, 544, 516, 450, 358, 258, 164, 88, 37, 9, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 18, 47, 94, 158, 234, 313, 380, 425, 438, 417, 364, 290, 208, 131, 70, 29, 7, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 4, 4, 4, 3, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 8, 32, 75, 140, 224, 317, 406, 475, 511, 507, 464, 391, 306, 231, 183, 176, 212, 285, 375, 463, 525, 548, 526, 464, 373, 272, 176, 98, 44, 13, 0, 0, 1, 4, 6, 8, 9, 10, 11, 12, 11, 10, 9, 8, 8, 7, 7, 6, 5, 4, 2, 2, 1, 2, 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, 3, 4, 4, 3, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 4, 4, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 3, 3, 3, 3, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 19, 56, 118, 204, 307, 413, 504, 564, 580, 549, 475, 373, 261, 158, 78, 27, 2, 0, 0, 3, 3, 0, 0, 6, 31, 78, 149, 240, 340, 436, 510, 549, 545, 498, 417, 316, 213, 124, 59, 19, 1, 0, 0, 4, 7, 7, 6, 5, 6, 7, 8, 8, 8, 7, 6, 5, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 3, 2, 1, 0, 1, 2, 3, 4, 4, 4, 4, 4, 4, 6, 8, 9, 9, 9, 7, 6, 5, 4, 3, 2, 0, 0, 0, 10, 34, 75, 134, 207, 285, 357, 408, 430, 417, 370, 299, 217, 138, 74, 30, 6, 0, 0, 1, 3, 3, 3, 3, 4, 6, 7, 8, 8, 7, 6, 5, 5, 4, 4, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 2, 2, 1, 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, 2, 3, 4, 5, 4, 3, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 9, 37, 88, 164, 259, 361, 453, 516, 538, 513, 447, 351, 246, 149, 74, 25, 1, 0, 0, 3, 5, 4, 0, 0, 0, 18, 58, 123, 211, 313, 413, 494, 538, 536, 487, 401, 295, 190, 103, 42, 9, 0, 0, 2, 4, 4, 3, 1, 2, 3, 5, 6, 7, 6, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 3, 4, 4, 4, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 2, 1, 1, 2, 4, 7, 9, 10, 10, 9, 6, 4, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 4, 26, 74, 152, 256, 375, 489, 574, 612, 593, 521, 414, 299, 206, 161, 177, 251, 365, 487, 587, 637, 625, 553, 439, 312, 203, 135, 122, 161, 239, 330, 411, 459, 464, 425, 352, 261, 170, 94, 41, 11, 0, 0, 2, 5, 6, 7, 7, 9, 11, 12, 13, 13, 12, 11, 10, 10, 9, 8, 8, 7, 7, 7, 7, 6, 4, 3, 2, 2, 2, 1, 0, 0, 0, 9, 32, 73, 132, 205, 281, 346, 386, 393, 362, 301, 223, 144, 76, 30, 5, 0, 0, 2, 4, 3, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 4, 5, 6, 7, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 1, 2, 2, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 3, 3, 3, 3, 3, 3, 4, 5, 6, 6, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 2, 3, 5, 7, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 5, 3, 3, 4, 5, 8, 10, 10, 9, 5, 1, 0, 0, 1, 3, 2, 0, 0, 5, 33, 89, 176, 285, 401, 502, 567, 581, 541, 455, 341, 223, 122, 49, 9, 0, 0, 4, 7, 4, 0, 0, 12, 53, 126, 232, 360, 493, 606, 676, 687, 635, 530, 395, 257, 139, 56, 11, 0, 0, 4, 8, 8, 5, 3, 2, 2, 2, 3, 2, 1, 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, 2, 1, 0, 0, 0, 1, 3, 4, 6, 7, 7, 6, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 4, 5, 5, 5, 4, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 3, 2, 2, 1, 1, 1, 2, 4, 4, 4, 3, 1, 0, 0, 0, 2, 4, 2, 0, 0, 8, 40, 103, 198, 315, 437, 540, 601, 605, 552, 452, 329, 206, 105, 38, 4, 0, 0, 4, 7, 5, 3, 2, 3, 5, 7, 7, 5, 3, 1, 0, 0, 0, 0, 1, 2, 3, 3, 2, 0, 0, 0, 0, 3, 6, 5, 0, 0, 2, 35, 106, 219, 366, 525, 664, 753, 771, 713, 592, 436, 278, 145, 55, 8, 0, 0, 5, 8, 6, 2, 0, 0, 2, 5, 6, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 0, 0, 0, 0, 0, 0, 1, 3, 6, 9, 12, 13, 11, 7, 1, 0, 0, 1, 5, 6, 2, 0, 0, 29, 99, 217, 379, 563, 735, 857, 901, 853, 725, 546, 358, 205, 118, 111, 176, 287, 408, 503, 547, 529, 457, 350, 235, 133, 59, 16, 0, 0, 1, 5, 7, 5, 0, 0, 0, 12, 52, 124, 226, 348, 469, 563, 609, 593, 519, 405, 275, 157, 69, 17, 0, 0, 2, 7, 7, 3, 0, 0, 0, 0, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 4, 5, 5, 6, 7, 8, 10, 12, 14, 15, 13, 8, 4, 1, 1, 3, 5, 3, 0, 0, 7, 46, 123, 239, 384, 533, 654, 719, 710, 630, 496, 341, 196, 86, 20, 0, 0, 4, 11, 10, 2, 0, 0, 20, 66, 137, 226, 320, 402, 452, 459, 420, 344, 248, 153, 75, 25, 1, 0, 0, 4, 7, 6, 4, 3, 4, 7, 8, 9, 8, 7, 5, 3, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 4, 3, 0, 0, 1, 26, 80, 167, 280, 404, 513, 583, 597, 551, 456, 334, 211, 109, 40, 4, 0, 0, 3, 8, 8, 4, 0, 0, 0, 27, 86, 179, 299, 429, 543, 614, 625, 572, 467, 336, 207, 103, 34, 2, 0, 0, 6, 9, 8, 6, 5, 6, 9, 11, 12, 12, 11, 9, 8, 8, 7, 7, 7, 8, 8, 10, 11, 13, 14, 15, 14, 13, 12, 10, 9, 9, 9, 10, 9, 7, 5, 2, 2, 4, 5, 5, 2, 0, 0, 21, 72, 159, 276, 406, 525, 603, 621, 571, 465, 329, 200, 115, 100, 161, 284, 438, 584, 682, 706, 649, 526, 368, 214, 101, 56, 88, 186, 324, 466, 575, 627, 609, 530, 408, 275, 155, 67, 17, 0, 0, 4, 9, 9, 7, 5, 4, 5, 5, 4, 1, 0, 0, 0, 4, 6, 4, 0, 0, 8, 50, 132, 253, 397, 539, 647, 694, 667, 574, 437, 287, 156, 63, 11, 0, 0, 5, 9, 7, 2, 0, 0, 0, 1, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 3, 4, 6, 7, 9, 9, 9, 8, 6, 4, 1, 0, 1, 3, 5, 7, 7, 4, 1, 0, 0, 2, 5, 5, 1, 0, 0, 28, 92, 197, 335, 484, 612, 689, 694, 624, 494, 336, 189, 89, 59, 104, 209, 345, 475, 564, 590, 548, 451, 325, 198, 96, 31, 1, 0, 1, 7, 8, 5, 1, 0, 0, 3, 6, 8, 7, 6, 4, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 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, 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, 3, 2, 1, 0, 0, 0, 1, 2, 3, 4, 5, 6, 6, 5, 4, 3, 2, 2, 2, 4, 6, 8, 10, 11, 11, 9, 6, 3, 1, 0, 1, 1, 2, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 8, 9, 9, 7, 3, 0, 0, 0, 3, 6, 6, 0, 0, 0, 30, 96, 201, 334, 470, 579, 633, 616, 534, 407, 266, 142, 54, 7, 0, 0, 6, 10, 8, 3, 0, 0, 0, 1, 2, 3, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 2, 3, 3, 1, 0, 0, 0, 1, 5, 8, 5, 0, 0, 11, 60, 152, 287, 446, 596, 702, 733, 678, 549, 379, 215, 103, 76, 140, 278, 451, 607, 704, 715, 640, 502, 338, 187, 77, 15, 0, 0, 7, 12, 10, 4, 0, 0, 0, 1, 4, 6, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 5, 6, 6, 4, 1, 0, 0, 0, 3, 7, 6, 2, 0, 0, 23, 81, 176, 297, 423, 522, 570, 553, 475, 357, 228, 117, 41, 3, 0, 0, 6, 8, 6, 1, 0, 0, 0, 2, 4, 4, 3, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 3, 4, 6, 8, 9, 9, 7, 4, 1, 0, 2, 6, 8, 6, 0, 0, 1, 33, 100, 201, 323, 441, 524, 551, 514, 423, 302, 181, 84, 23, 0, 0, 2, 8, 8, 4, 0, 0, 0, 0, 2, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 2, 0, 0, 0, 0, 3, 7, 7, 2, 0, 0, 27, 94, 204, 348, 500, 628, 697, 686, 595, 445, 275, 129, 48, 51, 139, 285, 448, 584, 655, 645, 560, 425, 276, 145, 55, 7, 0, 0, 7, 10, 7, 2, 0, 0, 0, 0, 2, 3, 3, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 5, 2, 0, 0, 0, 1, 7, 10, 7, 0, 0, 11, 66, 173, 328, 509, 680, 798, 829, 761, 607, 407, 214, 80, 41, 109, 265, 464, 652, 778, 808, 738, 591, 409, 234, 102, 24, 0, 0, 6, 14, 13, 6, 1, 0, 1, 5, 7, 7, 6, 3, 2, 2, 3, 3, 4, 3, 1, 0, 0, 0, 0, 2, 3, 4, 4, 3, 2, 1, 1, 2, 3, 4, 3, 1, 0, 0, 0, 3, 7, 7, 2, 0, 0, 25, 90, 197, 336, 480, 597, 655, 638, 550, 415, 266, 137, 48, 3, 0, 0, 7, 11, 8, 2, 0, 0, 4, 7, 9, 8, 5, 2, 0, 0, 0, 0, 1, 2, 3, 3, 1, 0, 0, 0, 0, 6, 10, 8, 0, 0, 1, 42, 129, 263, 425, 581, 693, 730, 680, 558, 397, 235, 106, 27, 0, 0, 4, 13, 14, 9, 3, 1, 2, 5, 7, 5, 1, 0, 0, 0, 6, 10, 8, 0, 0, 7, 58, 158, 305, 479, 643, 758, 791, 730, 587, 398, 209, 68, 9, 46, 166, 335, 507, 635, 686, 650, 540, 388, 234, 109, 31, 0, 0, 4, 12, 13, 8, 2, 0, 0, 2, 5, 6, 5, 4, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 4, 4, 3, 1, 0, 0, 0, 0, 6, 9, 7, 0, 0, 2, 45, 132, 264, 420, 567, 668, 695, 639, 516, 359, 207, 89, 19, 0, 0, 5, 12, 11, 5, 0, 0, 0, 1, 4, 6, 6, 5, 3, 2, 1, 0, 0, 0, 0, 1, 2, 3, 2, 0, 0, 0, 0, 3, 7, 8, 4, 0, 0, 15, 69, 163, 287, 418, 525, 578, 563, 483, 361, 228, 114, 37, 0, 0, 0, 8, 11, 9, 4, 0, 0, 2, 5, 6, 6, 5, 4, 3, 3, 4, 4, 3, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 3, 4, 5, 7, 8, 8, 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, 1, 1, 1, 1, 1, 1, 2, 3, 4, 4, 4, 3, 2, 1, 1, 2, 3, 4, 6, 6, 6, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 2, 3, 3, 2, 0, 0, 0, 0, 6, 10, 8, 0, 0, 0, 36, 119, 245, 399, 546, 648, 677, 623, 502, 347, 197, 82, 16, 0, 0, 6, 13, 11, 5, 0, 0, 0, 3, 7, 10, 9, 6, 1, 0, 0, 0, 5, 10, 10, 3, 0, 0, 38, 124, 261, 434, 610, 744, 799, 754, 617, 423, 227, 83, 36, 100, 259, 468, 669, 806, 842, 771, 617, 425, 241, 102, 22, 0, 0, 9, 17, 16, 9, 2, 0, 0, 4, 7, 9, 10, 10, 10, 10, 9, 8, 6, 4, 3, 2, 2, 3, 4, 5, 6, 6, 5, 4, 3, 1, 0, 0, 0, 0, 0, 1, 2, 3, 3, 2, 1, 0, 0, 0, 0, 1, 3, 4, 4, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 4, 5, 4, 4, 4, 3, 3, 2, 2, 3, 3, 4, 5, 5, 6, 6, 6, 5, 4, 3, 3, 2, 3, 3, 4, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 1, 2, 3, 5, 5, 5, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 3, 2, 2, 2, 3, 4, 6, 8, 9, 9, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 4, 2, 0, 0, 0, 0, 7, 12, 10, 0, 0, 0, 45, 142, 291, 470, 640, 757, 788, 723, 580, 399, 225, 93, 17, 0, 0, 8, 15, 14, 6, 0, 0, 1, 6, 10, 10, 6, 0, 0, 0, 1, 9, 14, 11, 0, 0, 5, 63, 180, 351, 549, 730, 844, 856, 757, 572, 351, 155, 37, 28, 127, 298, 490, 644, 717, 692, 581, 421, 254, 118, 33, 0, 0, 5, 13, 14, 8, 0, 0, 0, 0, 4, 5, 5, 5, 5, 6, 9, 11, 12, 11, 9, 7, 6, 5, 5, 6, 7, 7, 7, 7, 6, 5, 5, 7, 9, 12, 13, 11, 6, 1, 0, 0, 6, 12, 12, 5, 0, 0, 27, 109, 243, 416, 591, 725, 779, 738, 612, 438, 260, 117, 28, 0, 0, 5, 14, 14, 7, 0, 0, 0, 3, 8, 9, 6, 1, 0, 0, 0, 7, 12, 10, 1, 0, 1, 46, 144, 293, 472, 645, 766, 799, 733, 580, 380, 185, 44, 0, 43, 175, 351, 522, 643, 681, 632, 513, 358, 208, 91, 22, 0, 0, 6, 12, 11, 5, 0, 0, 1, 6, 11, 12, 9, 4, 0, 0, 0, 4, 10, 11, 5, 0, 0, 18, 83, 194, 337, 482, 593, 638, 602, 498, 353, 207, 91, 21, 0, 0, 5, 12, 11, 5, 0, 0, 0, 3, 7, 8, 7, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 7, 8, 10, 13, 14, 13, 9, 3, 0, 0, 0, 8, 13, 11, 1, 0, 2, 54, 161, 322, 513, 693, 816, 844, 765, 597, 381, 175, 32, 0, 60, 223, 434, 636, 778, 821, 760, 616, 431, 250, 109, 24, 0, 0, 6, 20, 25, 17, 2, 0, 0, 31, 120, 261, 436, 608, 734, 777, 724, 591, 414, 239, 103, 22, 0, 0, 7, 16, 15, 8, 1, 0, 0, 0, 2, 3, 3, 1, 1, 1, 2, 3, 3, 2, 1, 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, 0, 0, 0, 0, 0, 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, 1, 2, 3, 5, 6, 6, 5, 4, 2, 1, 0, 0, 0, 0, 0, 1, 3, 4, 4, 1, 0, 0, 0, 2, 9, 14, 10, 0, 0, 9, 72, 195, 371, 573, 755, 868, 877, 775, 585, 357, 150, 17, 0, 75, 238, 434, 606, 708, 715, 630, 482, 314, 164, 59, 4, 0, 0, 9, 18, 19, 12, 0, 0, 0, 30, 111, 240, 399, 556, 672, 712, 665, 543, 381, 220, 94, 19, 0, 0, 6, 15, 14, 7, 0, 0, 0, 5, 11, 13, 12, 7, 1, 0, 0, 0, 8, 14, 11, 0, 0, 0, 50, 156, 317, 506, 681, 794, 812, 730, 570, 379, 202, 74, 6, 0, 0, 12, 19, 15, 6, 0, 0, 0, 5, 10, 13, 14, 12, 10, 8, 6, 4, 2, 0, 0, 0, 0, 0, 2, 4, 7, 8, 9, 8, 6, 3, 1, 0, 0, 2, 5, 6, 7, 7, 6, 4, 2, 1, 0, 0, 1, 2, 3, 4, 5, 5, 4, 3, 2, 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, 3, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 5, 5, 4, 2, 0, 0, 0, 1, 4, 6, 6, 3, 0, 0, 0, 1, 8, 12, 8, 0, 0, 3, 54, 154, 298, 462, 605, 690, 692, 608, 465, 300, 153, 51, 1, 0, 0, 11, 15, 11, 4, 0, 0, 0, 2, 4, 4, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 3, 4, 2, 0, 0, 0, 0, 6, 12, 12, 4, 0, 0, 33, 121, 264, 444, 624, 758, 808, 755, 611, 410, 206, 50, 0, 18, 150, 340, 540, 694, 762, 730, 610, 438, 262, 120, 31, 0, 0, 6, 16, 17, 11, 4, 0, 0, 2, 4, 5, 4, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 4, 5, 7, 7, 7, 6, 4, 2, 2, 2, 3, 4, 6, 7, 7, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 7, 5, 2, 0, 0, 0, 3, 10, 13, 8, 0, 0, 13, 79, 200, 365, 546, 698, 780, 764, 653, 473, 270, 96, 0, 0, 82, 246, 440, 612, 717, 728, 646, 497, 324, 168, 58, 3, 0, 0, 12, 16, 11, 2, 0, 0, 0, 5, 8, 6, 2, 0, 0, 0, 7, 14, 13, 4, 0, 0, 35, 130, 282, 470, 652, 781, 818, 753, 604, 413, 230, 92, 14, 0, 0, 10, 19, 18, 9, 1, 0, 0, 2, 6, 7, 7, 5, 4, 4, 4, 5, 7, 8, 10, 9, 7, 3, 0, 0, 0, 3, 11, 15, 10, 0, 0, 9, 80, 213, 399, 603, 775, 867, 850, 730, 542, 338, 164, 51, 0, 0, 0, 5, 5, 2, 1, 5, 6, 1, 0, 0, 35, 139, 315, 540, 767, 938, 1002, 940, 771, 542, 313, 134, 28, 0, 0, 9, 21, 20, 12, 4, 2, 6, 11, 14, 11, 5, 0, 0, 0, 8, 14, 12, 1, 0, 0, 51, 162, 329, 525, 704, 818, 833, 745, 579, 380, 200, 71, 4, 0, 0, 12, 17, 13, 4, 0, 0, 0, 2, 5, 5, 3, 1, 0, 0, 1, 3, 6, 8, 9, 9, 7, 5, 3, 1, 0, 0, 0, 0, 1, 2, 3, 4, 4, 3, 3, 2, 0, 0, 0, 0, 0, 2, 3, 3, 2, 0, 0, 0, 0, 7, 12, 10, 1, 0, 0, 39, 130, 271, 438, 596, 700, 721, 651, 512, 342, 183, 68, 6, 0, 0, 9, 15, 12, 4, 0, 0, 0, 1, 3, 4, 3, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 3, 3, 4, 5, 5, 6, 7, 7, 7, 6, 5, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 6, 7, 8, 9, 8, 7, 5, 3, 1, 0, 0, 0, 1, 2, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 3, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 3, 5, 7, 9, 10, 8, 5, 0, 0, 0, 3, 11, 17, 15, 4, 0, 0, 36, 129, 276, 454, 625, 744, 775, 710, 567, 386, 213, 84, 11, 0, 0, 9, 16, 14, 6, 0, 0, 0, 0, 3, 4, 3, 3, 3, 3, 3, 3, 2, 0, 0, 0, 1, 3, 5, 7, 8, 8, 8, 8, 7, 8, 8, 9, 10, 10, 10, 10, 9, 7, 5, 3, 1, 0, 0, 1, 4, 7, 9, 8, 4, 0, 0, 0, 2, 11, 16, 12, 0, 0, 4, 64, 186, 365, 573, 762, 880, 889, 781, 579, 338, 125, 0, 0, 118, 325, 559, 752, 852, 834, 712, 524, 323, 155, 46, 0, 0, 4, 16, 17, 11, 1, 0, 0, 0, 2, 4, 4, 3, 2, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 4, 4, 3, 3, 2, 1, 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, 1, 2, 3, 4, 4, 3, 2, 2, 2, 3, 3, 4, 4, 3, 3, 3, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 2, 1, 0, 0, 1, 1, 2, 2, 2, 3, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 3, 3, 3, 3, 4, 5, 6, 8, 10, 11, 11, 9, 6, 0, 0, 0, 0, 7, 14, 13, 3, 0, 0, 36, 135, 292, 488, 678, 814, 856, 791, 637, 439, 248, 103, 20, 0, 0, 6, 10, 6, 0, 0, 2, 6, 3, 0, 0, 25, 104, 241, 421, 608, 755, 820, 784, 658, 476, 288, 133, 34, 0, 0, 1, 18, 27, 23, 8, 0, 0, 17, 105, 257, 461, 679, 859, 952, 929, 796, 590, 367, 178, 53, 0, 0, 2, 18, 22, 17, 8, 3, 3, 6, 10, 11, 9, 5, 2, 1, 1, 2, 3, 3, 3, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 0, 0, 0, 1, 3, 4, 5, 4, 3, 2, 1, 1, 1, 3, 5, 7, 9, 10, 9, 8, 6, 4, 2, 0, 0, 0, 0, 2, 3, 5, 5, 6, 5, 5, 4, 4, 4, 5, 5, 4, 4, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 6, 6, 5, 4, 2, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 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, 2, 3, 5, 7, 8, 8, 7, 6, 5, 4, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 9, 10, 8, 4, 0, 0, 0, 3, 11, 15, 10, 0, 0, 10, 79, 209, 392, 595, 772, 873, 871, 765, 586, 382, 200, 73, 7, 0, 0, 5, 10, 9, 6, 4, 0, 0, 0, 7, 57, 152, 290, 449, 592, 680, 687, 611, 472, 309, 162, 58, 3, 0, 0, 9, 14, 11, 3, 0, 0, 0, 1, 4, 4, 4, 3, 2, 1, 0, 0, 0, 2, 4, 6, 7, 5, 2, 0, 0, 2, 9, 14, 12, 2, 0, 1, 46, 144, 296, 481, 663, 793, 834, 768, 608, 396, 193, 59, 38, 140, 341, 585, 805, 938, 949, 841, 648, 423, 221, 77, 2, 0, 0, 19, 28, 22, 5, 0, 0, 27, 105, 225, 369, 509, 611, 645, 603, 494, 350, 206, 92, 22, 0, 0, 4, 12, 12, 7, 1, 0, 0, 1, 3, 4, 3, 1, 0, 0, 1, 1, 1, 0, 0, 1, 4, 6, 8, 7, 3, 0, 0, 0, 4, 11, 13, 7, 0, 0, 19, 96, 233, 419, 618, 784, 872, 857, 741, 559, 357, 182, 62, 2, 0, 0, 6, 13, 14, 9, 2, 0, 0, 1, 43, 130, 262, 422, 577, 685, 718, 663, 537, 373, 214, 91, 19, 0, 0, 6, 13, 12, 6, 0, 0, 0, 0, 2, 3, 3, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 2, 1, 1, 1, 2, 4, 6, 7, 8, 9, 8, 7, 6, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 7, 7, 5, 1, 0, 0, 0, 5, 10, 11, 3, 0, 0, 31, 117, 257, 435, 618, 759, 819, 782, 657, 479, 293, 141, 42, 0, 0, 0, 6, 10, 9, 7, 4, 0, 0, 0, 34, 115, 249, 426, 613, 766, 840, 811, 681, 485, 278, 123, 68, 132, 299, 524, 741, 891, 930, 847, 665, 432, 208, 51, 0, 61, 219, 427, 630, 773, 820, 762, 621, 437, 256, 114, 28, 0, 0, 6, 15, 14, 7, 0, 0, 0, 7, 14, 19, 21, 18, 13, 7, 1, 0, 2, 8, 12, 9, 1, 0, 0, 41, 130, 266, 432, 593, 709, 749, 701, 579, 414, 247, 111, 26, 0, 0, 6, 21, 23, 13, 0, 0, 14, 84, 210, 380, 568, 732, 831, 835, 738, 563, 352, 158, 31, 0, 68, 212, 391, 555, 659, 678, 613, 486, 331, 186, 78, 17, 0, 0, 6, 11, 10, 4, 0, 1, 5, 10, 15, 16, 14, 11, 7, 5, 3, 2, 2, 1, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 3, 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, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 3, 1, 0, 0, 0, 3, 10, 12, 7, 0, 0, 19, 93, 227, 412, 619, 802, 914, 924, 824, 639, 414, 207, 68, 26, 81, 209, 364, 500, 577, 576, 504, 383, 247, 129, 47, 5, 0, 0, 7, 10, 7, 1, 0, 0, 0, 2, 5, 6, 5, 5, 4, 3, 3, 3, 2, 2, 2, 2, 3, 4, 6, 7, 7, 6, 5, 3, 2, 3, 5, 8, 10, 11, 9, 5, 2, 2, 6, 12, 14, 9, 0, 0, 13, 78, 201, 376, 578, 763, 885, 910, 827, 655, 437, 229, 84, 39, 100, 246, 435, 612, 729, 758, 693, 558, 389, 227, 103, 29, 0, 0, 0, 5, 5, 3, 3, 2, 0, 0, 0, 18, 78, 184, 331, 495, 642, 732, 742, 668, 529, 362, 205, 87, 18, 0, 0, 5, 11, 10, 4, 0, 0, 1, 3, 4, 2, 1, 3, 7, 10, 8, 0, 0, 1, 43, 134, 274, 449, 622, 754, 809, 771, 650, 479, 298, 147, 47, 0, 0, 0, 10, 13, 8, 1, 0, 0, 0, 1, 4, 4, 4, 3, 3, 2, 2, 2, 1, 0, 0, 0, 0, 2, 4, 5, 6, 6, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 4, 3, 2, 1, 0, 1, 1, 2, 4, 5, 6, 6, 5, 2, 0, 0, 0, 3, 8, 10, 6, 0, 0, 16, 76, 185, 339, 516, 681, 794, 825, 762, 616, 422, 227, 80, 18, 58, 192, 388, 598, 770, 863, 855, 752, 583, 391, 217, 89, 18, 0, 0, 7, 12, 10, 3, 0, 0, 1, 7, 11, 12, 10, 7, 6, 8, 11, 13, 9, 0, 0, 10, 61, 162, 311, 492, 669, 801, 855, 812, 680, 490, 294, 142, 77, 117, 252, 444, 641, 789, 849, 807, 677, 496, 308, 152, 50, 1, 0, 1, 10, 12, 8, 1, 0, 0, 0, 3, 4, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 8, 9, 8, 7, 5, 3, 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, 1, 3, 5, 7, 7, 7, 5, 3, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 6, 9, 11, 12, 12, 10, 8, 5, 2, 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, 1, 2, 2, 3, 4, 4, 3, 3, 2, 2, 1, 2, 2, 2, 3, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 4, 5, 5, 4, 3, 2, 1, 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, 2, 3, 3, 3, 2, 1, 0, 1, 2, 4, 6, 7, 8, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 2, 1, 1, 1, 1, 2, 2, 3, 3, 3, 4, 6, 8, 9, 10, 8, 5, 3, 3, 5, 8, 8, 3, 0, 0, 26, 93, 209, 370, 554, 728, 851, 895, 844, 710, 526, 338, 195, 131, 160, 268, 423, 579, 691, 731, 689, 578, 427, 271, 141, 53, 7, 0, 0, 8, 12, 11, 7, 4, 2, 3, 3, 4, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 6, 9, 11, 12, 9, 6, 5, 5, 6, 7, 4, 0, 0, 10, 53, 136, 260, 411, 563, 682, 741, 724, 634, 492, 332, 187, 80, 18, 0, 0, 3, 8, 7, 2, 0, 0, 1, 4, 7, 7, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 4, 5, 5, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 5, 4, 3, 2, 1, 1, 1, 2, 2, 3, 2, 2, 1, 0, 0, 0, 0, 1, 3, 4, 5, 7, 8, 9, 10, 9, 8, 7, 6, 5, 5, 6, 7, 8, 9, 10, 10, 10, 10, 9, 8, 7, 7, 5, 2, 0, 4, 23, 66, 141, 251, 389, 537, 668, 757, 782, 733, 622, 473, 323, 209, 159, 184, 275, 406, 540, 641, 680, 649, 555, 422, 279, 154, 65, 15, 0, 0, 3, 7, 5, 1, 0, 0, 0, 3, 6, 8, 8, 8, 8, 8, 8, 7, 6, 4, 3, 2, 3, 4, 5, 8, 10, 12, 14, 15, 15, 14, 13, 11, 11, 12, 11, 7, 1, 0, 7, 41, 112, 223, 365, 518, 650, 731, 742, 680, 565, 433, 328, 285, 320, 425, 570, 707, 795, 804, 730, 595, 439, 308, 239, 250, 332, 458, 586, 679, 707, 662, 555, 413, 267, 143, 58, 12, 0, 0, 4, 6, 4, 0, 0, 0, 4, 9, 11, 11, 9, 6, 4, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 2, 2, 1, 1, 1, 2, 3, 3, 3, 3, 2, 1, 1, 0, 0, 1, 3, 4, 6, 6, 6, 4, 3, 1, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 1, 3, 5, 6, 7, 7, 7, 6, 4, 3, 3, 3, 4, 5, 6, 6, 7, 7, 6, 5, 5, 4, 4, 3, 3, 3, 2, 1, 1, 1, 1, 2, 2, 3, 2, 2, 1, 0, 0, 1, 3, 4, 4, 4, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 5, 7, 8, 9, 9, 8, 7, 6, 6, 6, 5, 2, 0, 0, 9, 40, 99, 185, 291, 402, 497, 559, 574, 539, 461, 356, 244, 143, 68, 21, 0, 0, 0, 3, 3, 1, 0, 0, 1, 5, 11, 17, 21, 23, 22, 19, 15, 12, 10, 9, 7, 3, 0, 0, 12, 57, 141, 267, 427, 600, 758, 872, 917, 884, 778, 621, 442, 275, 143, 57, 13, 0, 0, 0, 17, 56, 128, 237, 375, 522, 652, 740, 769, 734, 642, 512, 368, 233, 125, 51, 12, 0, 0, 1, 3, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 3, 5, 6, 7, 8, 9, 11, 13, 14, 15, 14, 11, 9, 7, 5, 4, 2, 0, 0, 4, 24, 65, 131, 219, 321, 422, 507, 560, 571, 538, 466, 370, 266, 169, 92, 39, 11, 0, 0, 0, 1, 2, 3, 5, 9, 14, 17, 20, 20, 18, 15, 12, 9, 5, 0, 0, 4, 23, 64, 133, 231, 354, 488, 617, 719, 775, 777, 723, 628, 514, 407, 331, 302, 320, 376, 450, 519, 564, 572, 539, 470, 378, 277, 182, 105, 49, 16, 2, 0, 0, 1, 1, 0, 0, 0, 2, 5, 7, 8, 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, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 3, 5, 5, 5, 5, 4, 3, 2, 2, 1, 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, 3, 4, 5, 7, 8, 9, 9, 9, 8, 7, 4, 1, 0, 0, 3, 17, 44, 85, 143, 214, 294, 375, 447, 501, 529, 525, 491, 430, 351, 265, 183, 114, 61, 27, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 3, 4, 5, 5, 5, 4, 4, 4, 5, 6, 7, 8, 9, 9, 10, 11, 12, 12, 13, 12, 12, 10, 9, 8, 9, 12, 19, 31, 51, 79, 118, 167, 225, 289, 354, 416, 470, 511, 536, 544, 536, 516, 488, 457, 426, 400, 379, 361, 346, 330, 310, 284, 253, 216, 177, 139, 103, 73, 48, 31, 18, 11, 6, 3, 2, 1, 1, 1, 2, 2, 3, 4, 4, 3, 2, 1, 0, 0, 0, 1, 3, 4, 5, 6, 5, 5, 4, 4, 3, 3, 3, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 3, 4, 6, 8, 10, 12, 13, 13, 12, 11, 10, 10, 10, 11, 12, 13, 13, 13, 13, 13, 14, 15, 16, 18, 20, 23, 27, 35, 47, 63, 85, 111, 142, 177, 216, 256, 298, 339, 379, 416, 450, 480, 506, 528, 546, 559, 567, 568, 562, 551, 534, 512, 486, 457, 425, 390, 351, 309, 266, 223, 182, 145, 114, 88, 67, 51, 38, 28, 20, 15, 13, 13, 17, 22, 30, 40, 52, 68, 87, 111, 138, 167, 197, 227, 255, 280, 302, 320, 333, 341, 341, 334, 321, 302, 279, 253, 226, 198, 171, 145, 120, 97, 76, 57, 42, 29, 19, 12, 7, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 3, 3, 4, 4, 5, 6, 6, 7, 6, 6, 6, 5, 5, 5, 4, 4, 3, 4, 4, 6, 7, 8, 9, 9, 9, 8, 8, 8, 9, 10, 11, 12, 13, 14, 14, 14, 14, 14, 13, 14, 15, 17, 20, 23, 27, 29, 32, 35, 41, 50, 59, 66, 71, 73, 74],
"peakT": [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, 1, 2, 2, 3, 3, 4, 5, 6, 7, 8, 9, 9, 8, 7, 7, 7, 7, 9, 10, 12, 13, 15, 15, 16, 16, 16, 16, 17, 17, 17, 18, 19, 20, 21, 23, 25, 26, 27, 27, 27, 26, 26, 27, 29, 33, 37, 41, 45, 48, 50, 52, 56, 60, 65, 70, 75, 80, 85, 91, 98, 105, 113, 121, 128, 136, 144, 154, 164, 175, 186, 196, 205, 213, 221, 230, 238, 246, 252, 257, 260, 261, 261, 260, 258, 257, 255, 254, 254, 254, 255, 255, 253, 250, 245, 239, 233, 227, 223, 220, 217, 214, 211, 208, 205, 202, 199, 197, 194, 190, 185, 179, 173, 165, 158, 151, 143, 137, 131, 127, 125, 123, 121, 118, 113, 108, 102, 95, 90, 86, 83, 80, 77, 73, 69, 64, 60, 56, 52, 50, 48, 47, 47, 48, 48, 48, 47, 45, 43, 41, 39, 36, 34, 33, 31, 30, 31, 32, 35, 38, 40, 41, 41, 41, 41, 42, 45, 48, 52, 55, 57, 59, 60, 61, 63, 65, 67, 70, 73, 76, 79, 81, 83, 84, 85, 85, 86, 88, 90, 93, 94, 95, 94, 93, 91, 89, 88, 87, 87, 86, 85, 84, 82, 81, 80, 79, 77, 76, 74, 73, 73, 73, 74, 75, 76, 76, 74, 72, 69, 66, 64, 63, 63, 64, 66, 67, 67, 66, 64, 62, 60, 59, 59, 58, 58, 57, 55, 53, 52, 51, 52, 54, 56, 58, 59, 60, 59, 58, 57, 54, 52, 48, 45, 41, 38, 36, 36, 39, 43, 47, 51, 52, 51, 49, 46, 45, 45, 46, 49, 51, 52, 52, 50, 48, 46, 44, 44, 44, 45, 45, 45, 43, 42, 41, 40, 39, 38, 38, 36, 35, 32, 30, 28, 27, 25, 24, 24, 23, 23, 23, 22, 21, 20, 18, 16, 14, 13, 12, 12, 12, 11, 11, 11, 10, 11, 11, 12, 12, 13, 12, 11, 10, 8, 7, 7, 7, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 7, 7, 6, 6, 7, 8, 9, 10, 11, 10, 10, 8, 7, 7, 7, 8, 8, 9, 8, 8, 7, 7, 8, 9, 11, 13, 14, 14, 14, 13, 13, 13, 13, 12, 11, 11, 11, 13, 17, 23, 30, 36, 41, 44, 44, 43, 42, 43, 45, 48, 53, 57, 60, 62, 65, 68, 75, 84, 97, 113, 131, 151, 171, 192, 214, 235, 255, 274, 290, 302, 308, 310, 305, 296, 284, 271, 258, 248, 239, 233, 228, 224, 220, 217, 215, 215, 217, 223, 231, 239, 247, 251, 251, 247, 238, 226, 211, 197, 182, 168, 154, 141, 127, 113, 99, 85, 72, 60, 50, 41, 34, 28, 22, 18, 14, 11, 10, 9, 9, 9, 9, 9, 9, 8, 7, 7, 7, 8, 8, 9, 9, 9, 8, 8, 8, 9, 10, 11, 12, 11, 9, 7, 4, 3, 2, 2, 2, 3, 2, 1, 0, 0, 0, 0, 1, 3, 4, 4, 3, 2, 2, 2, 3, 5, 7, 8, 9, 8, 8, 7, 8, 9, 10, 12, 12, 12, 12, 10, 9, 9, 8, 9, 9, 10, 9, 9, 8, 7, 7, 8, 8, 9, 9, 9, 8, 6, 5, 4, 3, 3, 3, 3, 2, 2, 1, 2, 2, 4, 5, 7, 8, 8, 8, 7, 6, 6, 5, 4, 3, 2, 2, 2, 2, 2, 3, 4, 4, 5, 6, 7, 7, 7, 7, 7, 6, 6, 6, 6, 7, 7, 7, 6, 5, 4, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 3, 2, 2, 2, 3, 4, 6, 8, 9, 9, 8, 6, 4, 3, 2, 3, 4, 5, 6, 7, 8, 9, 11, 13, 16, 19, 23, 28, 33, 40, 47, 54, 61, 68, 75, 83, 92, 103, 117, 132, 148, 163, 176, 187, 195, 202, 209, 214, 220, 224, 225, 224, 219, 211, 202, 191, 181, 170, 159, 147, 133, 120, 107, 94, 84, 75, 67, 59, 52, 45, 38, 32, 26, 22, 19, 17, 16, 16, 15, 14, 12, 10, 9, 8, 8, 10, 12, 14, 15, 16, 15, 13, 12, 11, 10, 10, 10, 10, 9, 9, 8, 9, 11, 13, 15, 16, 15, 14, 12, 10, 9, 9, 10, 11, 12, 12, 11, 10, 9, 9, 10, 11, 11, 10, 10, 9, 10, 11, 13, 15, 16, 16, 15, 14, 13, 13, 14, 15, 16, 17, 17, 16, 15, 14, 14, 14, 13, 13, 12, 11, 10, 9, 9, 9, 8, 8, 6, 5, 3, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 2, 1, 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, 1, 3, 4, 5, 6, 5, 5, 4, 5, 7, 9, 12, 15, 17, 21, 24, 29, 34, 39, 45, 52, 60, 69, 79, 90, 102, 115, 129, 144, 161, 180, 200, 217, 232, 242, 249, 253, 254, 254, 253, 249, 241, 230, 216, 200, 185, 170, 157, 145, 132, 119, 105, 91, 78, 67, 58, 51, 45, 39, 33, 28, 24, 21, 20, 19, 18, 16, 14, 12, 11, 10, 11, 13, 15, 17, 20, 23, 26, 31, 38, 47, 58, 70, 84, 97, 111, 126, 142, 160, 181, 204, 227, 251, 273, 294, 312, 326, 336, 342, 342, 338, 331, 321, 308, 294, 278, 260, 241, 221, 200, 179, 158, 139, 120, 103, 88, 74, 63, 54, 47, 41, 36, 31, 27, 23, 19, 17, 16, 16, 16, 15, 14, 13, 12, 10, 10, 10, 10, 10, 10, 8, 5, 3, 1, 0, 0, 0, 0, 1, 2, 4, 5, 6, 7, 8, 9, 11, 13, 16, 21, 26, 31, 37, 42, 49, 57, 67, 79, 93, 108, 123, 136, 147, 158, 167, 177, 185, 193, 198, 200, 199, 194, 188, 179, 168, 156, 141, 126, 110, 95, 83, 72, 64, 57, 50, 44, 37, 31, 27, 24, 22, 22, 22, 23, 24, 27, 31, 37, 45, 54, 63, 71, 79, 88, 98, 110, 124, 139, 156, 173, 189, 204, 216, 228, 237, 246, 253, 258, 262, 263, 262, 260, 256, 251, 246, 241, 234, 228, 220, 211, 202, 192, 181, 170, 158, 145, 132, 118, 104, 91, 79, 67, 56, 46, 38, 31, 27, 23, 20, 17, 14, 10, 7, 5, 4, 3, 4, 4, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 9, 10, 11, 11, 12, 12, 12, 12, 13, 14, 16, 17, 19, 21, 22, 24, 26, 30, 36, 43, 51, 60, 70, 79, 89, 99, 111, 124, 138, 153, 167, 179, 189, 195, 198, 198, 196, 194, 191, 187, 183, 176, 166, 153, 137, 119, 102, 87, 75, 65, 57, 50, 43, 38, 34, 31, 30, 29, 28, 28, 27, 28, 31, 38, 47, 59, 71, 83, 95, 107, 120, 136, 154, 174, 195, 217, 237, 256, 274, 290, 304, 316, 323, 328, 329, 327, 323, 317, 311, 303, 294, 285, 275, 265, 255, 244, 232, 218, 203, 188, 174, 160, 148, 135, 122, 108, 93, 78, 64, 53, 45, 39, 34, 30, 25, 21, 17, 15, 13, 13, 13, 13, 13, 12, 12, 11, 12, 12, 13, 13, 12, 12, 12, 12, 13, 15, 16, 16, 16, 15, 14, 14, 14, 14, 15, 16, 16, 15, 14, 13, 13, 13, 13, 13, 13, 13, 13, 12, 12, 12, 12, 13, 13, 13, 13, 12, 11, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 11, 10, 10, 10, 11, 12, 13, 15, 16, 16, 16, 14, 13, 12, 11, 12, 13, 15, 16, 18, 18, 17, 15, 14, 13, 13, 14, 15, 16, 17, 16, 15, 14, 13, 13, 12, 13, 15, 17, 19, 22, 24, 25, 25, 24, 23, 21, 20, 20, 21, 21, 22, 22, 21, 20, 20, 21, 23, 25, 28, 31, 35, 39, 45, 53, 64, 79, 98, 119, 143, 168, 193, 217, 240, 262, 282, 299, 314, 326, 334, 337, 336, 328, 316, 298, 277, 254, 230, 206, 183, 161, 140, 120, 102, 85, 71, 59, 49, 42, 36, 33, 30, 28, 27, 26, 25, 24, 22, 20, 19, 18, 17, 17, 17, 16, 16, 15, 15, 15, 15, 15, 15, 16, 17, 19, 23, 27, 33, 40, 48, 58, 69, 83, 97, 113, 130, 147, 163, 178, 189, 197, 201, 201, 198, 194, 188, 181, 172, 162, 149, 135, 120, 104, 88, 74, 61, 51, 42, 35, 30, 25, 21, 18, 15, 13, 12, 12, 12, 13, 13, 12, 11, 10, 10, 10, 11, 11, 12, 12, 11, 10, 9, 8, 9, 10, 11, 12, 12, 12, 11, 11, 11, 12, 13, 13, 13, 12, 11, 11, 11, 12, 12, 11, 9, 8, 6, 5, 6, 8, 10, 12, 13, 13, 12, 11, 10, 9, 9, 10, 12, 13, 15, 16, 16, 17, 17, 16, 16, 16, 16, 16, 16, 16, 15, 14, 12, 10, 9, 8, 8, 9, 11, 14, 17, 20, 24, 29, 35, 44, 53, 65, 77, 91, 105, 121, 138, 156, 172, 187, 198, 205, 208, 206, 202, 194, 186, 175, 164, 150, 136, 121, 105, 89, 73, 58, 46, 36, 28, 22, 18, 15, 13, 10, 7, 4, 2, 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, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 3, 4, 5, 5, 5, 5, 6, 8, 10, 13, 14, 14, 14, 13, 12, 12, 14, 16, 18, 19, 20, 19, 18, 17, 16, 16, 16, 16, 15, 13, 11, 11, 11, 13, 16, 19, 21, 23, 24, 25, 28, 34, 43, 57, 73, 91, 110, 127, 143, 158, 174, 190, 208, 225, 238, 246, 247, 240, 227, 209, 190, 172, 155, 139, 125, 110, 95, 80, 66, 55, 46, 39, 35, 32, 29, 26, 23, 19, 17, 15, 14, 14, 15, 16, 16, 16, 15, 14, 13, 12, 12, 12, 12, 12, 12, 13, 13, 13, 14, 14, 15, 16, 16, 16, 16, 15, 15, 15, 17, 19, 24, 30, 39, 49, 62, 78, 97, 119, 143, 168, 193, 217, 238, 256, 271, 283, 292, 298, 299, 296, 287, 272, 251, 227, 201, 175, 151, 130, 113, 99, 88, 80, 75, 72, 73, 78, 86, 98, 112, 126, 142, 158, 176, 194, 213, 230, 242, 248, 247, 240, 228, 216, 204, 194, 183, 170, 154, 135, 114, 94, 76, 61, 49, 39, 31, 24, 18, 14, 12, 11, 11, 10, 9, 7, 6, 4, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 3, 4, 5, 6, 6, 5, 4, 3, 2, 3, 4, 5, 7, 7, 8, 8, 9, 10, 11, 11, 11, 10, 9, 8, 7, 7, 7, 7, 7, 7, 6, 5, 3, 3, 3, 5, 8, 12, 15, 17, 18, 19, 22, 27, 35, 47, 62, 81, 101, 125, 152, 183, 219, 259, 302, 345, 387, 424, 456, 481, 496, 501, 494, 477, 449, 414, 376, 337, 300, 267, 237, 210, 186, 166, 151, 141, 139, 144, 156, 175, 200, 229, 262, 297, 334, 369, 402, 430, 451, 463, 465, 457, 439, 412, 380, 344, 306, 268, 230, 196, 163, 134, 109, 87, 69, 55, 45, 37, 32, 28, 25, 23, 21, 19, 18, 17, 16, 14, 14, 13, 13, 13, 13, 13, 12, 11, 11, 11, 11, 12, 13, 13, 13, 12, 11, 11, 11, 12, 13, 15, 16, 16, 15, 15, 15, 15, 14, 13, 11, 9, 7, 6, 6, 8, 10, 12, 13, 12, 11, 10, 8, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 8, 8, 7, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 6, 7, 9, 11, 12, 13, 13, 13, 12, 12, 13, 14, 14, 14, 12, 10, 8, 6, 5, 5, 6, 8, 8, 9, 9, 8, 8, 8, 8, 8, 9, 9, 8, 7, 7, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8, 9, 9, 8, 8, 7, 7, 6, 5, 5, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 6, 8, 9, 10, 10, 9, 7, 5, 4, 4, 5, 7, 9, 9, 9, 8, 7, 5, 4, 4, 3, 3, 3, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 3, 4, 6, 7, 7, 7, 6, 6, 6, 7, 8, 10, 11, 11, 10, 9, 8, 8, 10, 12, 15, 17, 18, 17, 16, 14, 13, 12, 13, 15, 16, 17, 18, 17, 15, 13, 12, 11, 11, 10, 10, 10, 9, 8, 6, 5, 5, 6, 8, 12, 18, 25, 34, 45, 57, 71, 87, 106, 128, 153, 179, 205, 227, 243, 251, 251, 244, 233, 219, 203, 187, 168, 147, 125, 101, 79, 59, 43, 31, 22, 15, 11, 8, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 8, 8, 8, 8, 8, 9, 10, 11, 11, 12, 11, 11, 10, 9, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 9, 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, 2, 4, 6, 8, 9, 9, 9, 9, 9, 10, 11, 13, 13, 14, 13, 12, 10, 9, 8, 7, 7, 7, 7, 6, 6, 5, 4, 4, 4, 5, 5, 6, 7, 7, 8, 10, 11, 12, 13, 13, 12, 11, 9, 8, 7, 7, 6, 6, 6, 6, 7, 7, 8, 9, 11, 14, 20, 27, 37, 49, 63, 80, 101, 125, 155, 188, 225, 263, 299, 330, 355, 372, 379, 378, 367, 348, 322, 290, 255, 218, 183, 151, 122, 97, 77, 60, 47, 37, 30, 25, 22, 19, 16, 14, 13, 12, 11, 11, 12, 12, 12, 11, 11, 11, 12, 13, 14, 15, 16, 15, 14, 13, 13, 13, 13, 13, 13, 12, 11, 10, 9, 8, 8, 8, 9, 8, 7, 5, 3, 2, 2, 3, 4, 5, 5, 5, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 7, 7, 6, 6, 5, 4, 4, 4, 5, 6, 7, 8, 8, 9, 9, 10, 10, 11, 11, 11, 11, 11, 12, 13, 14, 15, 17, 19, 23, 31, 42, 58, 78, 102, 129, 159, 192, 228, 263, 297, 326, 348, 362, 367, 362, 349, 329, 303, 272, 238, 202, 167, 135, 106, 81, 62, 47, 36, 29, 25, 22, 21, 21, 20, 19, 17, 16, 15, 15, 16, 16, 17, 17, 16, 16, 15, 15, 15, 15, 16, 16, 16, 15, 14, 14, 14, 14, 15, 16, 16, 15, 14, 12, 11, 10, 9, 8, 8, 7, 6, 6, 5, 5, 5, 4, 3, 2, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 2, 2, 1, 0, 0, 1, 2, 4, 7, 10, 13, 14, 15, 16, 16, 15, 15, 16, 17, 18, 19, 19, 19, 18, 18, 17, 16, 16, 16, 16, 17, 18, 19, 20, 22, 25, 29, 35, 42, 52, 65, 81, 102, 128, 160, 197, 240, 285, 331, 375, 412, 438, 451, 450, 435, 408, 372, 331, 288, 246, 205, 168, 135, 106, 82, 61, 46, 34, 27, 23, 22, 21, 21, 21, 19, 17, 15, 14, 13, 13, 13, 12, 11, 10, 9, 8, 7, 7, 8, 8, 8, 9, 9, 10, 11, 12, 13, 13, 14, 14, 15, 16, 17, 17, 18, 17, 16, 15, 13, 12, 11, 11, 11, 11, 11, 10, 8, 6, 4, 3, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 3, 4, 5, 6, 7, 8, 10, 11, 12, 12, 13, 13, 13, 13, 14, 14, 15, 15, 14, 14, 13, 12, 12, 12, 12, 11, 9, 8, 6, 6, 6, 7, 8, 9, 10, 13, 20, 31, 49, 72, 99, 130, 161, 192, 219, 243, 262, 274, 280, 278, 269, 253, 231, 205, 176, 146, 116, 89, 66, 46, 32, 21, 14, 9, 5, 3, 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, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 7, 9, 14, 21, 32, 46, 63, 82, 102, 123, 145, 167, 189, 209, 225, 236, 238, 232, 218, 199, 175, 150, 125, 101, 78, 57, 38, 22, 10, 3, 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, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 5, 8, 12, 16, 21, 28, 38, 51, 71, 95, 123, 154, 185, 214, 240, 263, 279, 290, 292, 285, 268, 242, 211, 176, 142, 111, 84, 63, 45, 32, 23, 16, 11, 8, 6, 5, 4, 3, 3, 3, 4, 4, 5, 5, 4, 4, 4, 5, 5, 6, 7, 7, 8, 8, 8, 8, 7, 6, 4, 3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 5, 6, 6, 7, 7, 8, 9, 12, 15, 19, 24, 32, 42, 59, 83, 114, 155, 202, 255, 310, 365, 416, 459, 492, 512, 515, 501, 471, 426, 371, 312, 252, 196, 147, 107, 77, 54, 38, 27, 20, 17, 16, 15, 15, 15, 15, 13, 12, 11, 11, 11, 12, 13, 13, 13, 12, 11, 10, 9, 8, 8, 8, 8, 8, 8, 7, 6, 5, 4, 3, 3, 2, 2, 1, 2, 2, 4, 5, 7, 9, 10, 13, 18, 26, 38, 56, 80, 108, 140, 175, 211, 247, 279, 307, 326, 335, 332, 319, 295, 265, 230, 194, 158, 125, 96, 72, 52, 37, 27, 21, 17, 16, 15, 15, 14, 13, 12, 12, 12, 13, 16, 22, 32, 48, 70, 101, 141, 187, 238, 290, 340, 384, 419, 445, 462, 469, 468, 461, 452, 443, 437, 437, 443, 453, 464, 472, 473, 463, 442, 409, 366, 317, 266, 216, 170, 131, 98, 73, 54, 40, 30, 23, 19, 17, 17, 18, 20, 22, 22, 21, 18, 14, 12, 12, 15, 21, 32, 46, 63, 84, 109, 137, 168, 200, 233, 264, 293, 317, 336, 348, 354, 356, 360, 370, 390, 421, 462, 508, 552, 588, 609, 611, 593, 556, 504, 443, 376, 309, 246, 190, 142, 102, 71, 48, 33, 24, 22, 26, 35, 50, 70, 94, 123, 154, 185, 215, 240, 260, 271, 275, 269, 256, 235, 208, 178, 146, 114, 84, 59, 38, 23, 12, 6, 3, 1, 1, 2, 3, 3, 4, 5, 6, 7, 9, 13, 20, 30, 44, 63, 87, 116, 149, 186, 224, 260, 292, 317, 331, 333, 322, 298, 266, 228, 189, 152, 120, 92, 70, 51, 36, 23, 13, 6, 3, 2, 2, 3, 3, 2, 1, 0, 0, 0, 2, 3, 5, 6, 7, 8, 8, 8, 8, 8, 7, 6, 4, 2, 1, 0, 1, 2, 4, 5, 5, 5, 4, 4, 4, 6, 10, 15, 22, 32, 46, 65, 89, 118, 152, 189, 225, 258, 286, 305, 315, 313, 301, 277, 245, 208, 168, 130, 95, 67, 46, 32, 22, 16, 12, 9, 7, 5, 3, 3, 4, 5, 6, 6, 6, 5, 5, 6, 7, 9, 11, 12, 12, 11, 9, 7, 7, 7, 8, 8, 8, 6, 5, 3, 2, 2, 2, 2, 2, 2, 3, 3, 4, 5, 6, 6, 5, 4, 2, 0, 0, 0, 0, 2, 3, 5, 6, 7, 7, 7, 7, 6, 6, 7, 8, 9, 11, 13, 14, 15, 14, 14, 13, 12, 12, 12, 13, 13, 12, 11, 9, 7, 6, 6, 7, 10, 12, 14, 15, 14, 13, 12, 11, 10, 11, 12, 13, 13, 12, 10, 7, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 4, 5, 5, 5, 5, 5, 6, 6, 8, 9, 9, 10, 10, 11, 11, 11, 12, 12, 13, 14, 14, 14, 14, 13, 13, 13, 13, 14, 15, 16, 17, 17, 19, 22, 29, 41, 59, 83, 114, 150, 190, 230, 267, 300, 324, 339, 342, 333, 312, 280, 240, 195, 151, 109, 75, 48, 30, 21, 20, 26, 39, 59, 85, 119, 159, 204, 252, 299, 342, 374, 394, 401, 396, 382, 365, 347, 334, 327, 327, 332, 342, 352, 359, 361, 354, 338, 312, 277, 238, 195, 154, 116, 84, 59, 43, 35, 34, 39, 51, 69, 94, 126, 165, 207, 250, 288, 316, 332, 334, 322, 299, 267, 231, 193, 155, 120, 89, 64, 44, 29, 20, 13, 10, 8, 8, 8, 8, 9, 9, 9, 9, 9, 8, 8, 8, 8, 10, 12, 14, 15, 15, 14, 12, 10, 9, 9, 9, 9, 9, 8, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 3, 3, 3, 4, 5, 6, 8, 9, 10, 12, 13, 13, 13, 13, 12, 10, 8, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 8, 9, 8, 8, 7, 7, 7, 8, 8, 7, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 5, 5, 6, 8, 12, 20, 33, 55, 87, 130, 182, 239, 295, 347, 389, 418, 431, 427, 407, 372, 325, 271, 215, 162, 116, 80, 54, 36, 25, 19, 15, 13, 12, 13, 14, 15, 16, 17, 17, 17, 17, 16, 14, 13, 11, 9, 8, 6, 6, 6, 7, 8, 9, 10, 10, 10, 11, 12, 12, 13, 12, 11, 9, 7, 5, 3, 2, 2, 1, 0, 0, 0, 1, 2, 4, 6, 8, 9, 10, 10, 10, 10, 11, 17, 29, 50, 81, 124, 179, 243, 314, 386, 454, 512, 555, 578, 577, 552, 503, 437, 359, 279, 205, 144, 97, 66, 47, 35, 29, 24, 21, 19, 19, 20, 21, 22, 23, 22, 22, 21, 21, 20, 20, 19, 17, 15, 13, 12, 11, 10, 9, 8, 6, 5, 3, 1, 0, 0, 0, 2, 3, 5, 7, 10, 12, 13, 15, 15, 15, 13, 11, 9, 8, 8, 9, 11, 12, 12, 10, 8, 4, 3, 6, 15, 33, 61, 101, 152, 213, 280, 348, 413, 468, 508, 529, 527, 503, 458, 398, 328, 256, 189, 132, 88, 57, 37, 24, 17, 14, 14, 19, 29, 46, 70, 102, 141, 185, 231, 274, 310, 335, 346, 341, 321, 289, 247, 202, 156, 115, 80, 53, 35, 23, 16, 12, 9, 7, 5, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 13, 14, 14, 13, 13, 12, 12, 11, 12, 16, 22, 32, 47, 70, 100, 137, 181, 229, 277, 319, 351, 368, 368, 350, 317, 273, 224, 174, 128, 90, 61, 41, 27, 19, 15, 12, 11, 10, 9, 8, 7, 6, 4, 2, 1, 0, 0, 0, 0, 1, 2, 3, 5, 7, 9, 12, 13, 15, 15, 16, 16, 16, 17, 18, 19, 20, 21, 21, 20, 20, 20, 22, 28, 40, 61, 93, 136, 193, 259, 333, 408, 478, 534, 569, 579, 561, 518, 454, 379, 300, 226, 162, 111, 73, 47, 31, 23, 22, 26, 37, 53, 74, 102, 135, 174, 217, 262, 304, 339, 361, 369, 364, 350, 334, 324, 324, 340, 368, 405, 444, 477, 498, 504, 495, 476, 453, 432, 421, 424, 442, 474, 515, 555, 585, 599, 588, 554, 497, 426, 347, 269, 199, 140, 94, 62, 40, 29, 25, 27, 36, 51, 74, 107, 151, 205, 267, 331, 390, 439, 471, 485, 481, 463, 436, 407, 382, 368, 367, 379, 402, 429, 451, 461, 454, 428, 386, 331, 270, 210, 156, 110, 74, 47, 31, 21, 18, 18, 19, 20, 20, 19, 17, 15, 13, 11, 10, 8, 7, 6, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 7, 9, 11, 14, 16, 18, 19, 19, 17, 14, 11, 7, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 5, 6, 6, 5, 5, 4, 5, 6, 8, 10, 11, 10, 9, 6, 3, 1, 1, 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, 1, 6, 15, 32, 56, 87, 124, 165, 204, 239, 264, 277, 276, 261, 236, 202, 165, 127, 93, 62, 38, 21, 9, 2, 0, 0, 1, 2, 2, 2, 2, 3, 5, 8, 11, 13, 15, 15, 16, 16, 16, 17, 17, 18, 19, 19, 18, 18, 18, 17, 16, 16, 19, 27, 44, 70, 105, 148, 195, 240, 281, 311, 330, 334, 324, 300, 265, 222, 175, 129, 88, 55, 31, 15, 7, 3, 2, 3, 4, 5, 6, 6, 7, 8, 8, 10, 11, 13, 14, 15, 16, 16, 16, 15, 14, 13, 11, 9, 7, 5, 4, 4, 6, 10, 19, 33, 56, 89, 133, 185, 241, 297, 345, 379, 394, 389, 362, 319, 264, 204, 146, 97, 58, 31, 14, 6, 3, 3, 4, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 4, 5, 7, 9, 10, 10, 9, 8, 6, 5, 4, 3, 4, 5, 6, 7, 8, 9, 10, 10, 11, 11, 12, 12, 12, 11, 10, 9, 8, 7, 6, 7, 11, 22, 42, 73, 116, 170, 229, 288, 342, 383, 407, 414, 401, 373, 336, 296, 261, 239, 233, 245, 270, 302, 330, 348, 350, 333, 300, 256, 205, 155, 111, 74, 46, 27, 14, 8, 6, 8, 16, 32, 57, 93, 140, 196, 256, 313, 359, 388, 396, 381, 347, 298, 242, 184, 130, 85, 50, 25, 10, 2, 0, 0, 1, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 4, 3, 2, 1, 1, 1, 1, 2, 4, 6, 8, 10, 11, 12, 11, 11, 10, 10, 10, 11, 12, 12, 12, 12, 12, 11, 11, 10, 9, 8, 6, 4, 2, 1, 0, 0, 0, 0, 4, 14, 31, 57, 91, 134, 182, 232, 279, 316, 338, 340, 323, 289, 242, 190, 138, 93, 57, 31, 14, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 6, 7, 9, 10, 11, 13, 17, 25, 40, 65, 102, 151, 210, 274, 335, 386, 419, 430, 416, 379, 325, 261, 196, 136, 87, 51, 28, 15, 10, 8, 8, 8, 7, 7, 6, 6, 7, 9, 11, 13, 14, 15, 16, 16, 15, 15, 14, 14, 13, 14, 14, 15, 16, 16, 16, 17, 21, 31, 52, 87, 140, 210, 292, 380, 462, 528, 567, 574, 550, 499, 428, 348, 267, 193, 131, 83, 49, 27, 16, 13, 14, 18, 21, 24, 26, 26, 27, 27, 27, 26, 25, 23, 21, 19, 17, 15, 15, 14, 14, 14, 14, 13, 12, 10, 7, 4, 1, 2, 9, 26, 57, 104, 167, 243, 329, 415, 492, 551, 582, 582, 553, 500, 438, 380, 343, 332, 351, 391, 440, 483, 508, 508, 485, 447, 406, 374, 364, 380, 422, 484, 552, 613, 652, 660, 632, 571, 486, 388, 289, 201, 130, 77, 42, 22, 12, 8, 8, 10, 13, 15, 16, 16, 15, 13, 12, 11, 11, 12, 13, 15, 16, 17, 18, 18, 19, 19, 20, 20, 19, 18, 17, 15, 14, 12, 11, 10, 9, 8, 7, 7, 6, 6, 7, 7, 8, 8, 8, 7, 9, 15, 28, 52, 87, 135, 193, 256, 318, 370, 405, 417, 404, 369, 317, 256, 193, 135, 88, 53, 30, 16, 10, 8, 9, 11, 12, 12, 11, 9, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 6, 3, 1, 0, 0, 0, 0, 0, 2, 9, 25, 53, 96, 152, 216, 281, 337, 376, 392, 382, 350, 301, 242, 181, 125, 78, 43, 20, 6, 0, 0, 0, 0, 1, 2, 4, 6, 9, 12, 13, 13, 12, 11, 11, 14, 24, 41, 69, 109, 160, 221, 286, 349, 401, 434, 442, 424, 382, 323, 255, 186, 125, 76, 41, 19, 7, 3, 3, 6, 8, 10, 11, 11, 10, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 9, 9, 9, 9, 11, 12, 13, 14, 14, 12, 10, 7, 4, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 7, 9, 11, 11, 10, 9, 10, 14, 25, 46, 83, 138, 210, 296, 388, 473, 539, 576, 577, 542, 478, 394, 302, 215, 140, 81, 41, 16, 4, 0, 0, 2, 4, 6, 6, 7, 7, 8, 9, 11, 12, 13, 14, 13, 12, 10, 7, 4, 3, 2, 2, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 6, 7, 8, 9, 10, 12, 16, 24, 39, 65, 105, 158, 222, 291, 355, 406, 434, 435, 409, 361, 297, 228, 162, 107, 64, 35, 18, 9, 6, 5, 8, 17, 35, 69, 120, 191, 276, 368, 454, 522, 561, 565, 534, 474, 400, 326, 266, 230, 221, 236, 265, 298, 323, 333, 326, 303, 272, 240, 217, 208, 217, 243, 282, 323, 356, 373, 368, 339, 291, 231, 168, 111, 66, 33, 13, 3, 0, 0, 1, 2, 4, 6, 7, 8, 9, 8, 8, 8, 7, 8, 9, 10, 12, 14, 15, 16, 17, 17, 16, 15, 13, 11, 8, 7, 5, 5, 5, 6, 6, 6, 5, 4, 3, 2, 2, 2, 1, 0, 0, 1, 10, 31, 65, 115, 177, 246, 313, 370, 408, 422, 410, 373, 317, 250, 180, 117, 66, 31, 10, 1, 0, 0, 0, 4, 14, 35, 68, 113, 167, 225, 279, 323, 350, 357, 342, 307, 258, 200, 142, 90, 49, 21, 6, 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, 8, 6, 5, 3, 2, 2, 2, 2, 4, 6, 8, 10, 11, 11, 10, 8, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 5, 6, 8, 9, 10, 10, 9, 7, 6, 8, 17, 36, 70, 124, 198, 290, 392, 493, 578, 634, 650, 624, 557, 463, 354, 247, 154, 83, 36, 10, 0, 0, 3, 9, 14, 17, 19, 20, 20, 19, 19, 17, 16, 14, 13, 11, 10, 8, 7, 7, 7, 7, 9, 11, 13, 15, 17, 17, 15, 13, 11, 13, 23, 45, 81, 134, 202, 282, 365, 441, 496, 523, 515, 475, 413, 341, 276, 230, 213, 225, 258, 301, 341, 367, 370, 349, 307, 251, 189, 131, 82, 47, 24, 12, 7, 7, 10, 16, 27, 47, 79, 125, 185, 253, 323, 382, 422, 435, 419, 377, 316, 246, 178, 117, 69, 35, 14, 4, 1, 2, 4, 6, 7, 7, 7, 7, 7, 8, 9, 10, 10, 10, 9, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 8, 10, 11, 11, 11, 10, 9, 7, 6, 5, 4, 3, 3, 4, 6, 8, 10, 13, 14, 16, 16, 17, 17, 17, 17, 17, 16, 15, 13, 12, 11, 11, 12, 12, 12, 11, 10, 10, 11, 12, 13, 14, 13, 12, 12, 15, 26, 47, 82, 131, 194, 265, 335, 393, 430, 438, 415, 364, 295, 218, 146, 86, 44, 18, 5, 0, 0, 0, 4, 15, 38, 77, 134, 205, 284, 362, 427, 467, 475, 450, 394, 319, 237, 158, 94, 48, 20, 7, 4, 6, 10, 15, 19, 21, 23, 23, 22, 20, 17, 14, 11, 8, 7, 7, 8, 9, 11, 13, 14, 15, 15, 15, 14, 14, 13, 12, 11, 10, 9, 8, 6, 5, 4, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 13, 40, 85, 148, 224, 302, 370, 416, 433, 417, 375, 318, 262, 222, 208, 223, 263, 318, 372, 411, 424, 406, 360, 293, 217, 143, 81, 37, 12, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 3, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 3, 4, 5, 7, 8, 9, 9, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 1, 3, 4, 5, 5, 5, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 9, 10, 10, 8, 6, 4, 2, 1, 1, 2, 5, 8, 11, 13, 15, 14, 13, 10, 7, 4, 4, 4, 6, 8, 9, 10, 9, 6, 2, 0, 0, 8, 27, 63, 118, 191, 275, 361, 434, 481, 492, 464, 404, 327, 251, 192, 164, 168, 200, 248, 296, 330, 342, 328, 290, 235, 174, 115, 66, 31, 10, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 8, 11, 13, 14, 15, 15, 15, 14, 14, 14, 13, 12, 11, 10, 9, 7, 5, 1, 0, 0, 15, 50, 111, 200, 310, 429, 538, 618, 655, 641, 583, 495, 402, 331, 304, 336, 424, 551, 690, 808, 877, 878, 809, 684, 526, 363, 218, 109, 39, 5, 0, 0, 7, 11, 11, 9, 11, 23, 53, 106, 183, 279, 386, 488, 567, 609, 606, 560, 484, 400, 335, 309, 334, 408, 515, 629, 723, 773, 766, 704, 596, 463, 325, 203, 109, 45, 11, 0, 0, 5, 11, 15, 18, 20, 21, 22, 22, 21, 20, 18, 16, 15, 13, 11, 10, 8, 7, 5, 5, 4, 5, 7, 9, 11, 14, 15, 17, 19, 21, 22, 23, 24, 23, 22, 20, 18, 17, 15, 13, 11, 9, 10, 17, 37, 76, 137, 220, 319, 423, 515, 580, 605, 585, 523, 431, 325, 221, 133, 68, 29, 9, 2, 1, 0, 0, 3, 17, 49, 104, 183, 282, 390, 490, 564, 597, 583, 525, 437, 341, 261, 217, 219, 266, 344, 431, 504, 543, 539, 491, 409, 311, 212, 128, 65, 25, 5, 0, 0, 2, 5, 6, 6, 5, 7, 16, 38, 77, 134, 207, 288, 365, 424, 454, 449, 409, 344, 264, 183, 112, 59, 25, 8, 3, 4, 8, 11, 13, 13, 13, 12, 10, 8, 6, 3, 1, 0, 0, 0, 0, 1, 2, 4, 7, 10, 13, 15, 18, 19, 18, 14, 8, 2, 0, 5, 31, 82, 162, 267, 386, 501, 591, 641, 639, 588, 500, 395, 297, 229, 203, 221, 276, 349, 418, 463, 472, 442, 382, 307, 237, 188, 172, 190, 234, 291, 345, 379, 386, 360, 307, 237, 163, 97, 47, 16, 2, 0, 0, 2, 2, 1, 0, 1, 2, 5, 8, 10, 11, 12, 11, 10, 9, 9, 8, 7, 6, 6, 6, 6, 6, 7, 9, 11, 13, 16, 18, 19, 21, 21, 21, 20, 18, 16, 15, 13, 11, 8, 4, 0, 0, 4, 23, 59, 115, 187, 268, 345, 406, 437, 434, 397, 332, 251, 169, 98, 46, 15, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 8, 9, 10, 10, 10, 9, 9, 8, 8, 7, 7, 6, 7, 8, 10, 12, 14, 12, 7, 1, 0, 7, 38, 97, 184, 294, 409, 509, 575, 593, 559, 482, 382, 286, 217, 194, 223, 298, 400, 501, 578, 609, 588, 519, 420, 316, 230, 183, 180, 219, 284, 356, 413, 440, 430, 384, 313, 230, 150, 84, 37, 10, 0, 0, 4, 8, 11, 11, 10, 9, 8, 7, 6, 6, 6, 7, 9, 12, 16, 19, 22, 23, 22, 21, 19, 17, 14, 13, 11, 10, 7, 4, 0, 0, 6, 28, 72, 139, 227, 327, 423, 500, 540, 535, 485, 402, 303, 212, 150, 130, 156, 218, 301, 381, 439, 459, 438, 382, 304, 225, 164, 134, 141, 183, 247, 317, 375, 405, 401, 363, 298, 220, 144, 79, 34, 9, 0, 0, 1, 2, 0, 0, 0, 12, 41, 90, 159, 241, 326, 399, 447, 458, 431, 370, 286, 197, 116, 55, 17, 0, 0, 0, 2, 3, 2, 0, 0, 2, 5, 8, 10, 12, 13, 13, 12, 8, 3, 0, 0, 14, 46, 99, 173, 258, 342, 408, 444, 441, 400, 330, 251, 183, 145, 149, 197, 278, 372, 456, 509, 519, 483, 408, 312, 212, 124, 59, 19, 1, 0, 1, 5, 8, 9, 9, 9, 8, 8, 9, 9, 9, 9, 10, 9, 8, 5, 1, 0, 4, 19, 51, 100, 168, 246, 323, 387, 424, 426, 391, 325, 242, 158, 87, 36, 8, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 4, 6, 9, 12, 14, 15, 15, 14, 13, 12, 12, 12, 12, 12, 12, 10, 8, 6, 3, 1, 0, 1, 3, 6, 10, 14, 15, 15, 14, 13, 12, 12, 14, 16, 18, 19, 19, 17, 15, 10, 4, 0, 0, 12, 43, 98, 178, 275, 377, 466, 523, 537, 504, 433, 342, 256, 200, 193, 239, 331, 446, 555, 630, 652, 615, 529, 419, 315, 248, 235, 279, 369, 477, 574, 633, 636, 580, 478, 352, 226, 121, 49, 10, 0, 0, 6, 12, 16, 17, 17, 18, 19, 20, 20, 20, 19, 18, 16, 14, 11, 9, 6, 5, 4, 5, 6, 8, 8, 8, 8, 7, 7, 7, 5, 2, 0, 0, 9, 37, 86, 159, 247, 338, 416, 465, 474, 442, 374, 285, 191, 109, 49, 14, 0, 0, 0, 3, 3, 1, 0, 0, 0, 1, 4, 7, 10, 11, 12, 12, 11, 9, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 4, 4, 5, 7, 9, 11, 13, 14, 13, 12, 9, 7, 4, 3, 2, 2, 4, 6, 7, 7, 5, 0, 0, 4, 25, 67, 135, 223, 323, 419, 492, 527, 518, 464, 377, 275, 175, 93, 37, 7, 0, 0, 3, 7, 7, 5, 3, 1, 1, 2, 3, 4, 6, 6, 6, 5, 4, 3, 3, 3, 3, 3, 2, 2, 1, 2, 3, 6, 10, 15, 19, 22, 22, 22, 20, 17, 15, 13, 11, 10, 8, 6, 4, 2, 1, 1, 2, 4, 6, 8, 9, 10, 10, 9, 5, 0, 0, 2, 20, 59, 120, 200, 289, 371, 430, 452, 432, 374, 290, 198, 115, 52, 15, 0, 0, 0, 3, 3, 1, 0, 0, 0, 1, 2, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 9, 12, 13, 13, 11, 9, 7, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 8, 10, 12, 12, 11, 8, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 10, 13, 17, 19, 21, 21, 19, 15, 11, 6, 3, 1, 1, 2, 1, 0, 0, 6, 28, 72, 143, 236, 338, 432, 496, 515, 483, 408, 309, 215, 154, 142, 186, 273, 379, 475, 534, 539, 491, 400, 289, 180, 92, 34, 5, 0, 0, 3, 5, 3, 0, 0, 0, 0, 0, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 6, 9, 10, 6, 0, 0, 5, 41, 114, 223, 358, 498, 614, 680, 681, 616, 499, 358, 220, 109, 37, 3, 0, 0, 5, 7, 5, 3, 3, 6, 10, 14, 16, 15, 13, 11, 8, 7, 6, 5, 4, 3, 1, 0, 0, 0, 0, 2, 4, 7, 9, 11, 11, 10, 9, 8, 6, 5, 4, 2, 0, 0, 0, 0, 2, 4, 2, 0, 0, 6, 37, 96, 184, 293, 403, 494, 545, 544, 491, 398, 285, 175, 86, 27, 0, 0, 1, 8, 10, 5, 0, 0, 15, 64, 148, 261, 385, 498, 574, 595, 557, 468, 349, 226, 121, 48, 9, 0, 0, 3, 6, 5, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 4, 5, 6, 6, 5, 3, 2, 0, 0, 0, 0, 1, 3, 5, 7, 9, 10, 10, 10, 10, 9, 7, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 5, 5, 5, 4, 3, 3, 3, 3, 3, 2, 2, 4, 6, 9, 8, 4, 0, 0, 11, 55, 134, 245, 374, 497, 586, 620, 590, 504, 381, 253, 149, 91, 92, 147, 239, 344, 432, 483, 485, 437, 353, 253, 155, 78, 26, 1, 0, 0, 6, 10, 10, 4, 0, 0, 7, 44, 113, 213, 332, 447, 535, 573, 553, 478, 368, 247, 138, 58, 12, 0, 0, 3, 9, 9, 4, 0, 0, 9, 49, 121, 223, 341, 456, 542, 579, 558, 483, 372, 250, 141, 61, 15, 0, 0, 2, 6, 7, 5, 3, 3, 4, 5, 5, 5, 4, 4, 4, 6, 8, 11, 12, 13, 12, 10, 6, 2, 0, 0, 0, 3, 6, 6, 1, 0, 0, 20, 73, 160, 273, 394, 496, 556, 559, 506, 408, 290, 176, 86, 28, 1, 0, 0, 4, 6, 4, 1, 0, 0, 2, 3, 3, 2, 1, 1, 2, 4, 8, 11, 14, 16, 17, 16, 14, 12, 9, 8, 7, 7, 9, 12, 15, 18, 19, 20, 19, 17, 14, 11, 8, 5, 3, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 3, 5, 7, 10, 11, 12, 12, 10, 7, 4, 1, 0, 0, 2, 6, 11, 17, 21, 24, 24, 22, 19, 14, 10, 6, 3, 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, 0, 0, 0, 0, 0, 1, 2, 5, 9, 14, 19, 23, 26, 26, 25, 22, 17, 13, 8, 5, 2, 1, 0, 0, 0, 0, 1, 3, 5, 6, 7, 7, 7, 9, 12, 14, 11, 4, 0, 0, 22, 86, 193, 335, 492, 631, 720, 738, 681, 562, 410, 259, 134, 50, 7, 0, 0, 6, 10, 10, 10, 10, 13, 17, 21, 22, 20, 17, 14, 11, 9, 9, 10, 12, 15, 17, 19, 21, 21, 20, 19, 17, 15, 13, 11, 9, 7, 7, 6, 6, 5, 4, 1, 0, 0, 0, 3, 6, 5, 0, 0, 2, 31, 93, 190, 311, 435, 536, 589, 579, 510, 398, 270, 153, 66, 15, 0, 0, 3, 7, 6, 2, 0, 0, 0, 2, 4, 5, 4, 3, 3, 4, 7, 11, 14, 16, 17, 15, 12, 9, 6, 5, 6, 7, 9, 11, 12, 11, 10, 9, 8, 8, 8, 8, 9, 10, 11, 13, 16, 17, 18, 17, 14, 10, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 7, 10, 12, 12, 12, 10, 8, 6, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 7, 9, 11, 13, 13, 12, 10, 7, 5, 4, 5, 6, 9, 12, 14, 15, 14, 12, 9, 6, 4, 4, 4, 5, 6, 7, 8, 9, 11, 12, 10, 4, 0, 0, 12, 53, 128, 232, 350, 460, 536, 560, 525, 439, 324, 205, 106, 38, 4, 0, 0, 5, 7, 5, 1, 0, 0, 0, 2, 3, 3, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 4, 6, 8, 10, 10, 6, 0, 0, 4, 34, 95, 185, 292, 395, 471, 501, 475, 402, 298, 189, 97, 34, 2, 0, 0, 5, 7, 4, 1, 0, 0, 0, 1, 2, 3, 3, 4, 4, 4, 3, 3, 2, 2, 2, 2, 1, 1, 2, 4, 7, 10, 11, 8, 1, 0, 1, 29, 90, 185, 304, 426, 526, 579, 570, 502, 391, 264, 148, 62, 13, 0, 0, 4, 9, 9, 5, 1, 0, 0, 2, 3, 4, 3, 2, 2, 4, 6, 10, 14, 17, 20, 20, 19, 17, 15, 13, 12, 11, 10, 9, 8, 6, 3, 2, 1, 1, 2, 4, 6, 8, 11, 13, 16, 18, 20, 22, 23, 22, 20, 16, 13, 12, 12, 12, 10, 5, 0, 0, 11, 53, 129, 235, 354, 461, 531, 545, 498, 404, 285, 169, 77, 21, 0, 0, 2, 7, 7, 3, 0, 0, 0, 0, 2, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 6, 9, 13, 15, 16, 15, 13, 10, 7, 5, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 3, 4, 4, 4, 3, 1, 0, 0, 0, 0, 0, 1, 3, 5, 6, 7, 7, 6, 4, 2, 1, 1, 2, 4, 7, 9, 10, 12, 15, 19, 24, 28, 30, 29, 26, 24, 25, 27, 27, 19, 4, 0, 0, 54, 180, 378, 629, 886, 1091, 1193, 1162, 1008, 770, 506, 272, 107, 17, 0, 0, 8, 18, 20, 15, 8, 0, 0, 0, 20, 79, 182, 323, 479, 617, 700, 704, 624, 482, 321, 189, 128, 160, 277, 446, 619, 745, 790, 742, 616, 445, 273, 132, 41, 0, 0, 2, 12, 16, 14, 10, 7, 8, 10, 13, 13, 13, 12, 10, 10, 9, 8, 6, 4, 2, 0, 0, 0, 0, 1, 3, 4, 5, 5, 4, 3, 2, 2, 3, 4, 4, 6, 8, 13, 19, 23, 20, 9, 0, 0, 24, 108, 250, 438, 637, 802, 890, 877, 766, 588, 387, 208, 81, 12, 0, 0, 8, 14, 13, 9, 6, 9, 14, 20, 23, 23, 19, 14, 10, 8, 7, 7, 8, 10, 13, 16, 18, 19, 16, 11, 5, 1, 1, 6, 10, 10, 4, 0, 0, 23, 93, 210, 362, 521, 650, 715, 700, 609, 465, 306, 164, 64, 10, 0, 0, 7, 12, 12, 9, 8, 10, 14, 18, 21, 21, 19, 17, 14, 12, 9, 7, 5, 5, 7, 10, 13, 16, 17, 19, 23, 29, 33, 30, 17, 0, 0, 14, 105, 274, 511, 778, 1015, 1163, 1181, 1065, 847, 582, 334, 145, 34, 0, 0, 5, 18, 22, 20, 13, 4, 0, 0, 8, 59, 157, 301, 473, 640, 759, 799, 746, 610, 426, 243, 112, 67, 120, 255, 434, 605, 722, 750, 684, 542, 364, 202, 100, 86, 161, 302, 466, 606, 681, 669, 576, 429, 269, 140, 78, 94, 181, 309, 439, 532, 563, 524, 430, 306, 183, 85, 24, 0, 0, 4, 12, 14, 12, 7, 2, 1, 1, 2, 4, 5, 6, 8, 9, 10, 12, 14, 16, 17, 18, 18, 18, 17, 16, 15, 14, 13, 11, 9, 7, 5, 3, 2, 1, 1, 2, 5, 9, 11, 10, 4, 0, 0, 20, 70, 153, 261, 377, 473, 525, 516, 447, 335, 211, 113, 72, 105, 207, 352, 500, 610, 653, 617, 514, 372, 227, 109, 33, 0, 0, 2, 10, 12, 9, 3, 0, 0, 0, 2, 3, 2, 1, 1, 2, 4, 8, 11, 13, 13, 11, 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, 1, 2, 4, 6, 7, 8, 7, 5, 3, 1, 0, 0, 0, 2, 4, 7, 9, 9, 8, 6, 4, 2, 1, 0, 0, 0, 0, 1, 4, 8, 12, 17, 21, 23, 24, 22, 20, 18, 16, 15, 15, 15, 15, 13, 11, 8, 5, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 3, 5, 8, 11, 13, 16, 18, 19, 19, 18, 15, 12, 7, 3, 1, 1, 4, 8, 13, 18, 20, 19, 16, 11, 6, 3, 3, 5, 9, 14, 18, 22, 23, 22, 19, 14, 10, 6, 4, 4, 7, 12, 18, 22, 25, 26, 25, 22, 18, 15, 12, 10, 8, 6, 4, 3, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 7, 11, 14, 17, 19, 20, 19, 16, 12, 9, 7, 7, 8, 10, 14, 17, 20, 21, 21, 19, 16, 13, 11, 10, 10, 12, 15, 17, 18, 17, 15, 11, 7, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 7, 7, 7, 9, 13, 18, 19, 13, 0, 0, 0, 51, 158, 318, 509, 692, 820, 860, 800, 658, 471, 284, 134, 40, 0, 0, 0, 10, 16, 18, 17, 14, 5, 0, 0, 18, 92, 226, 412, 621, 808, 923, 935, 840, 663, 450, 251, 103, 19, 0, 0, 9, 18, 17, 12, 7, 7, 11, 17, 21, 20, 16, 11, 6, 2, 0, 0, 0, 0, 0, 2, 4, 5, 6, 5, 4, 4, 7, 11, 14, 11, 2, 0, 0, 32, 112, 239, 397, 552, 666, 707, 665, 549, 393, 236, 109, 30, 0, 0, 3, 11, 12, 7, 1, 0, 0, 1, 4, 6, 6, 5, 5, 6, 7, 10, 13, 16, 18, 18, 17, 16, 14, 13, 13, 13, 14, 16, 17, 18, 18, 19, 21, 22, 21, 19, 13, 7, 3, 3, 6, 10, 11, 5, 0, 0, 18, 82, 192, 335, 486, 607, 667, 648, 556, 417, 266, 137, 48, 2, 0, 0, 7, 14, 16, 13, 6, 0, 0, 0, 33, 101, 204, 327, 445, 527, 551, 509, 414, 291, 171, 77, 19, 0, 0, 0, 6, 11, 11, 7, 0, 0, 0, 24, 89, 195, 332, 475, 589, 644, 621, 523, 375, 215, 87, 25, 42, 133, 268, 408, 513, 555, 526, 436, 312, 187, 87, 25, 0, 0, 3, 9, 9, 4, 0, 0, 2, 6, 9, 8, 5, 2, 3, 7, 12, 13, 6, 0, 0, 18, 86, 205, 362, 526, 657, 720, 697, 595, 442, 277, 137, 42, 0, 0, 0, 15, 24, 23, 11, 0, 0, 12, 83, 211, 386, 581, 751, 852, 853, 750, 568, 356, 172, 66, 64, 164, 331, 515, 658, 718, 678, 549, 374, 207, 102, 94, 192, 368, 572, 745, 837, 825, 713, 537, 343, 175, 61, 3, 0, 0, 13, 20, 19, 16, 14, 15, 18, 20, 19, 15, 10, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 8, 10, 11, 10, 8, 5, 2, 0, 0, 0, 3, 5, 7, 8, 8, 7, 6, 4, 3, 3, 2, 3, 3, 4, 5, 7, 10, 13, 16, 18, 19, 18, 16, 12, 8, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 3, 4, 6, 9, 13, 17, 20, 21, 20, 17, 12, 8, 6, 8, 14, 18, 17, 9, 0, 0, 15, 79, 189, 335, 489, 613, 675, 655, 559, 415, 259, 127, 39, 0, 0, 1, 11, 13, 9, 2, 0, 0, 2, 6, 9, 8, 6, 5, 8, 13, 17, 16, 7, 0, 0, 23, 100, 232, 404, 583, 727, 795, 769, 655, 485, 303, 149, 47, 0, 0, 0, 11, 13, 9, 3, 2, 5, 12, 18, 20, 18, 13, 8, 5, 4, 4, 4, 4, 3, 1, 0, 0, 0, 0, 1, 2, 3, 6, 8, 12, 15, 18, 20, 21, 21, 19, 17, 14, 11, 8, 6, 5, 7, 10, 14, 17, 18, 18, 17, 16, 18, 19, 18, 12, 1, 0, 5, 51, 143, 279, 439, 590, 691, 713, 644, 500, 320, 156, 61, 67, 181, 377, 603, 799, 909, 904, 785, 585, 361, 171, 64, 62, 152, 298, 449, 555, 583, 524, 398, 245, 113, 43, 59, 157, 312, 478, 609, 668, 642, 541, 395, 243, 117, 35, 0, 0, 4, 15, 20, 18, 13, 8, 5, 5, 5, 6, 7, 9, 11, 13, 16, 17, 17, 15, 13, 11, 10, 9, 8, 8, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 2, 4, 7, 11, 14, 16, 17, 17, 16, 13, 10, 7, 5, 2, 1, 0, 0, 0, 0, 3, 7, 9, 8, 6, 2, 1, 4, 10, 14, 11, 1, 0, 2, 50, 151, 304, 484, 652, 760, 775, 685, 513, 308, 133, 46, 79, 228, 455, 697, 883, 960, 904, 732, 495, 262, 103, 65, 159, 356, 599, 815, 941, 940, 814, 601, 363, 169, 73, 98, 233, 432, 631, 767, 796, 710, 535, 329, 160, 89, 147, 326, 577, 829, 1007, 1060, 975, 781, 535, 300, 123, 23, 0, 0, 12, 22, 21, 12, 6, 5, 10, 17, 22, 22, 18, 13, 9, 8, 9, 11, 13, 15, 15, 16, 15, 15, 15, 14, 14, 13, 12, 10, 8, 5, 3, 1, 0, 0, 0, 1, 3, 5, 7, 7, 7, 5, 3, 1, 0, 0, 0, 1, 3, 5, 6, 5, 4, 3, 1, 1, 2, 2, 3, 2, 2, 4, 8, 14, 17, 14, 3, 0, 0, 30, 109, 233, 384, 530, 633, 662, 608, 489, 336, 189, 77, 14, 0, 0, 6, 13, 11, 5, 0, 0, 0, 0, 2, 3, 3, 3, 4, 5, 8, 11, 14, 16, 17, 17, 15, 12, 8, 5, 2, 2, 3, 7, 13, 18, 23, 26, 27, 26, 24, 20, 17, 13, 9, 6, 4, 2, 2, 3, 3, 3, 3, 2, 2, 4, 7, 10, 9, 3, 0, 0, 17, 71, 161, 277, 397, 492, 536, 515, 437, 321, 199, 96, 29, 0, 0, 0, 8, 9, 5, 0, 0, 0, 0, 4, 8, 10, 11, 10, 9, 7, 5, 3, 1, 0, 0, 0, 1, 3, 6, 8, 9, 9, 7, 5, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 8, 8, 6, 4, 2, 0, 0, 0, 1, 3, 4, 5, 6, 8, 10, 13, 18, 22, 24, 24, 21, 16, 10, 6, 5, 9, 15, 23, 31, 36, 38, 37, 34, 28, 23, 17, 11, 5, 2, 1, 4, 10, 15, 19, 18, 15, 14, 17, 24, 30, 26, 9, 0, 0, 43, 179, 402, 681, 959, 1163, 1236, 1155, 945, 665, 388, 170, 39, 0, 0, 9, 23, 23, 15, 6, 3, 8, 17, 24, 26, 24, 18, 12, 8, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 3, 1, 0, 0, 0, 2, 4, 6, 7, 9, 10, 11, 13, 15, 17, 19, 21, 22, 21, 20, 18, 15, 11, 8, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 3, 6, 9, 15, 21, 26, 29, 30, 27, 23, 17, 11, 6, 3, 1, 0, 0, 0, 2, 5, 8, 10, 10, 9, 9, 11, 16, 19, 18, 8, 0, 0, 18, 92, 222, 393, 572, 714, 780, 750, 632, 461, 280, 131, 36, 0, 0, 4, 15, 17, 11, 3, 0, 0, 0, 2, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 2, 4, 5, 4, 1, 0, 0, 1, 8, 13, 12, 3, 0, 0, 29, 110, 239, 398, 552, 658, 687, 630, 503, 344, 191, 77, 12, 0, 0, 7, 13, 11, 4, 0, 0, 0, 0, 4, 7, 8, 9, 9, 7, 5, 4, 4, 6, 9, 11, 12, 11, 10, 12, 16, 21, 19, 9, 0, 0, 21, 108, 262, 470, 692, 876, 971, 950, 817, 611, 385, 191, 61, 0, 0, 0, 14, 18, 13, 5, 3, 9, 20, 31, 37, 37, 32, 24, 16, 11, 8, 8, 9, 13, 19, 26, 33, 38, 38, 33, 24, 16, 11, 13, 17, 17, 10, 0, 0, 14, 92, 234, 429, 639, 814, 904, 883, 757, 562, 350, 170, 52, 0, 0, 2, 13, 15, 9, 4, 4, 7, 8, 2, 0, 0, 38, 126, 263, 429, 587, 694, 719, 655, 520, 352, 195, 77, 12, 0, 0, 5, 13, 14, 13, 9, 3, 0, 0, 1, 41, 122, 241, 381, 510, 593, 605, 544, 426, 283, 152, 57, 6, 0, 0, 8, 12, 9, 2, 0, 0, 2, 6, 8, 7, 5, 3, 5, 9, 12, 9, 1, 0, 0, 35, 115, 237, 381, 516, 605, 622, 563, 444, 299, 163, 63, 8, 0, 0, 7, 12, 9, 3, 0, 0, 0, 1, 3, 3, 2, 1, 1, 3, 7, 11, 15, 18, 18, 17, 15, 12, 11, 9, 9, 8, 8, 6, 5, 3, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 8, 17, 28, 38, 43, 43, 36, 29, 24, 25, 27, 25, 12, 0, 0, 19, 120, 302, 545, 801, 1005, 1098, 1053, 882, 635, 380, 174, 45, 0, 0, 4, 16, 17, 11, 6, 4, 2, 0, 0, 4, 47, 138, 278, 446, 605, 713, 735, 660, 506, 315, 140, 31, 18, 101, 253, 427, 571, 641, 617, 508, 346, 182, 63, 27, 83, 213, 379, 530, 621, 629, 555, 424, 274, 141, 49, 2, 0, 0, 11, 15, 11, 5, 0, 0, 0, 0, 2, 5, 8, 12, 15, 16, 15, 11, 7, 3, 1, 2, 5, 8, 11, 13, 15, 18, 20, 19, 13, 1, 0, 0, 35, 115, 236, 377, 508, 592, 604, 542, 423, 279, 148, 54, 4, 0, 0, 8, 12, 9, 3, 0, 0, 0, 1, 5, 8, 9, 9, 8, 6, 3, 0, 0, 3, 8, 13, 17, 18, 17, 16, 18, 21, 21, 15, 3, 0, 0, 48, 153, 315, 512, 702, 834, 870, 792, 618, 392, 178, 36, 6, 95, 276, 492, 682, 790, 790, 688, 518, 328, 165, 54, 1, 0, 1, 13, 17, 13, 7, 4, 7, 12, 17, 19, 17, 12, 7, 3, 1, 1, 0, 0, 0, 0, 0, 3, 7, 11, 12, 10, 7, 7, 11, 16, 18, 13, 0, 0, 0, 55, 168, 332, 519, 684, 782, 785, 692, 531, 346, 181, 63, 2, 0, 0, 9, 22, 24, 15, 0, 0, 0, 43, 147, 309, 506, 696, 830, 867, 792, 622, 402, 192, 46, 0, 57, 197, 374, 536, 637, 648, 565, 412, 231, 77, 0, 25, 161, 377, 621, 827, 938, 922, 783, 559, 312, 111, 8, 24, 146, 329, 511, 638, 675, 615, 484, 323, 173, 65, 8, 0, 0, 10, 15, 11, 4, 0, 0, 0, 2, 4, 4, 3, 1, 0, 0, 0, 0, 0, 0, 2, 5, 9, 11, 11, 9, 7, 8, 11, 16, 17, 10, 0, 0, 4, 60, 167, 318, 484, 627, 708, 702, 613, 466, 300, 154, 52, 0, 0, 0, 10, 21, 23, 14, 0, 0, 0, 51, 159, 321, 511, 686, 799, 813, 717, 536, 318, 126, 15, 13, 117, 292, 482, 629, 691, 656, 539, 378, 218, 94, 20, 0, 0, 8, 16, 15, 7, 0, 0, 0, 0, 2, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 10, 13, 13, 11, 8, 4, 2, 2, 4, 7, 8, 7, 5, 5, 9, 16, 21, 17, 3, 0, 0, 45, 162, 342, 560, 766, 905, 936, 849, 670, 450, 243, 91, 10, 0, 0, 13, 21, 17, 8, 1, 1, 8, 15, 19, 17, 13, 10, 12, 17, 18, 12, 0, 0, 5, 71, 200, 383, 584, 756, 850, 838, 724, 542, 341, 168, 52, 0, 0, 1, 14, 18, 14, 7, 5, 9, 16, 24, 28, 29, 26, 23, 19, 17, 15, 13, 9, 6, 3, 1, 2, 4, 7, 9, 11, 13, 17, 21, 23, 19, 8, 0, 0, 19, 91, 213, 370, 527, 646, 691, 650, 534, 377, 219, 95, 21, 0, 0, 5, 12, 12, 5, 0, 0, 0, 0, 2, 4, 5, 5, 5, 5, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 1, 3, 7, 13, 19, 24, 26, 25, 22, 16, 9, 3, 0, 0, 4, 11, 19, 26, 31, 33, 31, 27, 21, 15, 10, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 9, 14, 19, 25, 29, 32, 31, 28, 23, 16, 10, 5, 1, 0, 0, 0, 0, 0, 1, 3, 4, 5, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 6, 9, 12, 16, 18, 19, 18, 15, 11, 6, 4, 3, 6, 12, 18, 25, 28, 29, 25, 20, 13, 7, 4, 4, 6, 10, 15, 18, 20, 20, 18, 15, 11, 7, 3, 1, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 7, 7, 5, 3, 1, 0, 0, 0, 1, 2, 3, 3, 3, 3, 4, 7, 11, 16, 20, 23, 23, 21, 16, 11, 6, 2, 1, 2, 5, 11, 18, 24, 30, 33, 33, 30, 26, 20, 14, 9, 5, 2, 1, 0, 0, 2, 4, 7, 10, 12, 13, 12, 11, 9, 7, 5, 4, 4, 4, 4, 4, 2, 0, 0, 0, 5, 13, 21, 27, 27, 22, 16, 13, 17, 23, 24, 13, 0, 0, 16, 120, 309, 568, 847, 1074, 1187, 1150, 976, 714, 435, 204, 56, 0, 0, 5, 21, 22, 12, 0, 0, 3, 16, 29, 38, 40, 36, 29, 21, 14, 9, 5, 2, 1, 1, 1, 3, 4, 6, 7, 7, 8, 10, 16, 26, 39, 54, 65, 70, 66, 56, 44, 35, 31, 28, 20, 3, 0, 0, 53, 184, 389, 640, 884, 1055, 1105, 1018, 820, 565, 319, 131, 23, 0, 0, 11, 21, 19, 9, 2, 2, 9, 19, 26, 27, 23, 16, 9, 4, 1, 2, 6, 10, 15, 20, 23, 25, 25, 23, 20, 17, 14, 11, 8, 5, 2, 0, 0, 0, 1, 3, 6, 9, 11, 11, 10, 8, 6, 4, 3, 4, 6, 10, 13, 15, 15, 13, 11, 9, 11, 14, 19, 22, 21, 19, 16, 17, 20, 23, 19, 6, 0, 0, 35, 142, 318, 538, 755, 913, 966, 899, 731, 510, 293, 125, 26, 0, 0, 8, 17, 15, 6, 0, 0, 2, 12, 22, 29, 33, 33, 30, 27, 22, 17, 11, 6, 3, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 9, 12, 14, 15, 13, 10, 7, 6, 8, 11, 16, 18, 18, 13, 8, 5, 6, 10, 12, 8, 0, 0, 4, 54, 152, 293, 453, 596, 684, 693, 619, 485, 325, 176, 67, 6, 0, 0, 13, 24, 23, 8, 0, 0, 21, 105, 243, 418, 594, 729, 787, 751, 633, 466, 289, 141, 41, 0, 0, 1, 22, 33, 26, 5, 0, 0, 57, 210, 446, 732, 1006, 1197, 1251, 1151, 927, 641, 366, 156, 33, 0, 0, 7, 19, 21, 17, 12, 6, 0, 0, 0, 30, 115, 257, 440, 628, 774, 837, 796, 664, 477, 285, 130, 33, 0, 0, 5, 16, 17, 9, 1, 0, 0, 0, 5, 9, 11, 11, 10, 8, 6, 3, 1, 0, 0, 1, 3, 7, 10, 12, 12, 10, 7, 3, 0, 0, 0, 1, 5, 8, 11, 12, 11, 9, 5, 2, 1, 0, 1, 2, 3, 3, 2, 3, 6, 10, 17, 24, 30, 32, 31, 26, 19, 12, 6, 4, 5, 9, 16, 24, 30, 34, 35, 31, 25, 17, 9, 3, 1, 3, 8, 15, 23, 30, 35, 36, 33, 28, 21, 14, 7, 3, 1, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 5, 3, 2, 1, 0, 0, 0, 0, 1, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 9, 15, 21, 27, 31, 33, 31, 27, 22, 16, 10, 6, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 7, 16, 31, 46, 59, 65, 61, 49, 36, 27, 24, 24, 20, 6, 0, 0, 38, 155, 350, 596, 844, 1029, 1099, 1033, 850, 601, 353, 156, 37, 0, 0, 8, 19, 18, 8, 0, 0, 0, 12, 24, 33, 37, 36, 32, 26, 20, 15, 11, 7, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 7, 8, 7, 6, 7, 11, 19, 29, 37, 40, 34, 24, 13, 8, 11, 18, 19, 9, 0, 0, 30, 145, 345, 611, 892, 1119, 1230, 1193, 1019, 756, 473, 234, 75, 0, 0, 2, 16, 19, 11, 3, 0, 3, 5, 1, 0, 1, 38, 125, 263, 434, 602, 725, 767, 716, 587, 415, 244, 109, 26, 0, 0, 4, 13, 14, 11, 8, 9, 12, 14, 13, 10, 7, 7, 9, 11, 7, 0, 0, 4, 53, 147, 283, 436, 572, 654, 658, 583, 452, 298, 159, 60, 7, 0, 0, 7, 12, 9, 3, 0, 0, 0, 3, 6, 7, 6, 4, 2, 2, 4, 9, 15, 23, 30, 35, 37, 35, 30, 23, 15, 9, 5, 5, 8, 12, 18, 22, 25, 26, 24, 21, 16, 12, 9, 8, 10, 13, 17, 22, 25, 26, 24, 19, 14, 8, 4, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 3, 13, 28, 46, 62, 70, 67, 54, 37, 24, 19, 18, 16, 7, 0, 0, 30, 136, 322, 569, 833, 1049, 1158, 1130, 972, 727, 460, 231, 75, 1, 0, 0, 16, 19, 11, 0, 0, 2, 16, 32, 44, 48, 46, 37, 26, 16, 7, 2, 1, 5, 13, 24, 36, 46, 51, 51, 44, 33, 21, 11, 3, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 4, 8, 11, 15, 18, 20, 21, 21, 19, 16, 13, 10, 8, 7, 8, 10, 12, 15, 17, 18, 17, 15, 12, 9, 5, 2, 0, 0, 0, 0, 0, 2, 3, 5, 7, 9, 9, 9, 8, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 3, 3, 2, 1, 1, 2, 4, 8, 14, 23, 32, 41, 47, 49, 47, 40, 29, 18, 8, 1, 0, 1, 6, 11, 15, 14, 9, 3, 0, 0, 3, 8, 8, 2, 0, 0, 29, 104, 224, 375, 526, 641, 687, 651, 545, 395, 241, 115, 34, 0, 0, 1, 9, 11, 6, 0, 0, 0, 0, 3, 5, 6, 5, 3, 2, 1, 0, 0, 0, 0, 0, 1, 2, 3, 3, 4, 5, 9, 17, 29, 42, 53, 60, 58, 50, 39, 29, 21, 17, 11, 2, 0, 0, 26, 99, 219, 374, 535, 664, 726, 702, 601, 448, 283, 142, 47, 1, 0, 0, 10, 12, 7, 0, 0, 0, 9, 18, 24, 23, 18, 11, 7, 6, 7, 7, 3, 0, 0, 20, 79, 181, 317, 465, 590, 661, 659, 583, 453, 303, 166, 66, 11, 0, 0, 6, 11, 10, 4, 0, 0, 0, 1, 3, 4, 4, 4, 4, 5, 7, 9, 12, 14, 17, 20, 22, 23, 22, 20, 15, 10, 6, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 6, 7, 11, 16, 22, 28, 32, 33, 31, 25, 18, 12, 10, 12, 19, 30, 44, 55, 62, 61, 52, 38, 24, 13, 7, 6, 5, 2, 0, 0, 13, 57, 135, 244, 367, 478, 549, 561, 511, 412, 288, 168, 76, 19, 0, 0, 2, 7, 7, 3, 0, 0, 0, 2, 4, 5, 4, 2, 0, 0, 0, 0, 0, 0, 0, 2, 4, 7, 9, 10, 10, 10, 11, 15, 21, 28, 34, 36, 31, 22, 10, 1, 0, 1, 6, 8, 3, 0, 0, 36, 122, 265, 453, 654, 824, 917, 908, 795, 609, 398, 221, 123, 125, 218, 365, 515, 620, 647, 592, 474, 326, 186, 80, 19, 0, 0, 5, 11, 12, 13, 14, 18, 21, 21, 17, 11, 5, 3, 5, 7, 5, 0, 0, 12, 61, 155, 291, 451, 602, 708, 740, 688, 566, 410, 264, 170, 151, 206, 311, 426, 511, 536, 495, 400, 279, 162, 71, 18, 0, 0, 4, 9, 8, 4, 0, 0, 0, 0, 2, 3, 4, 3, 2, 2, 2, 2, 4, 9, 15, 23, 31, 37, 42, 42, 38, 32, 23, 15, 8, 3, 0, 0, 0, 1, 3, 5, 7, 8, 8, 8, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 4, 11, 19, 27, 30, 29, 22, 14, 8, 7, 8, 8, 4, 0, 0, 15, 74, 181, 333, 504, 661, 763, 785, 720, 584, 413, 246, 115, 33, 0, 0, 1, 9, 12, 11, 11, 14, 17, 18, 16, 12, 8, 7, 7, 6, 1, 0, 0, 20, 78, 177, 308, 449, 569, 637, 637, 567, 446, 305, 174, 75, 18, 0, 0, 4, 9, 8, 4, 0, 0, 0, 4, 7, 10, 10, 9, 8, 8, 8, 10, 15, 21, 28, 35, 41, 43, 42, 38, 31, 24, 18, 15, 15, 17, 20, 22, 21, 17, 11, 5, 1, 0, 1, 2, 1, 0, 5, 28, 80, 169, 291, 434, 572, 675, 716, 682, 580, 438, 294, 191, 159, 207, 321, 465, 594, 669, 667, 590, 459, 308, 171, 71, 15, 0, 0, 6, 10, 8, 3, 0, 0, 0, 1, 4, 5, 5, 4, 4, 4, 5, 9, 14, 22, 31, 40, 47, 50, 49, 43, 34, 23, 13, 6, 2, 1, 1, 3, 4, 4, 4, 3, 3, 5, 8, 13, 20, 27, 33, 36, 37, 35, 30, 24, 17, 12, 10, 12, 17, 24, 32, 39, 43, 44, 42, 40, 39, 41, 46, 55, 64, 70, 69, 60, 46, 31, 19, 13, 12, 9, 3, 0, 0, 32, 122, 279, 498, 751, 993, 1172, 1246, 1196, 1034, 797, 537, 304, 132, 30, 0, 0, 6, 19, 20, 10, 0, 0, 11, 78, 203, 384, 601, 818, 988, 1072, 1048, 921, 720, 491, 282, 124, 32, 0, 0, 4, 11, 10, 4, 0, 1, 8, 17, 26, 31, 31, 29, 25, 20, 15, 11, 8, 8, 10, 16, 23, 31, 38, 41, 42, 39, 33, 26, 19, 12, 7, 3, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 6, 11, 16, 19, 21, 21, 19, 16, 13, 9, 7, 5, 4, 6, 10, 15, 22, 29, 35, 37, 36, 31, 24, 16, 8, 3, 0, 0, 0, 0, 1, 2, 3, 5, 6, 7, 7, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 10, 17, 24, 31, 36, 38, 35, 29, 19, 8, 0, 0, 0, 4, 9, 9, 0, 0, 1, 49, 157, 331, 560, 809, 1031, 1178, 1215, 1132, 950, 708, 460, 249, 102, 21, 0, 0, 4, 9, 8, 3, 0, 0, 0, 4, 24, 65, 131, 221, 326, 429, 507, 544, 528, 463, 363, 249, 144, 65, 17, 0, 0, 1, 5, 5, 2, 0, 0, 0, 2, 5, 8, 9, 8, 8, 7, 8, 11, 15, 18, 19, 17, 13, 7, 1, 0, 0, 1, 2, 1, 0, 0, 13, 49, 114, 208, 320, 434, 528, 580, 580, 525, 428, 309, 193, 98, 35, 4, 0, 0, 4, 5, 3, 0, 0, 0, 0, 2, 4, 4, 5, 5, 6, 9, 14, 21, 28, 36, 42, 44, 42, 36, 27, 19, 12, 9, 7, 4, 0, 0, 2, 29, 89, 185, 314, 459, 594, 691, 729, 699, 606, 471, 323, 188, 86, 24, 0, 0, 1, 8, 8, 3, 0, 0, 12, 52, 121, 218, 333, 449, 544, 598, 599, 544, 446, 325, 205, 106, 39, 5, 0, 0, 3, 5, 3, 0, 0, 0, 4, 10, 16, 19, 20, 19, 17, 13, 10, 6, 3, 1, 1, 3, 9, 18, 27, 34, 39, 41, 44, 57, 90, 152, 247, 369, 502, 619, 697, 713, 662, 555, 418, 287, 198, 173, 217, 314, 433, 536, 592, 585, 520, 419, 320, 256, 254, 318, 433, 568, 683, 746, 737, 658, 526, 372, 226, 111, 38, 4, 0, 0, 5, 6, 3, 0, 0, 0, 0, 2, 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, 3, 6, 11, 17, 24, 31, 36, 38, 37, 34, 28, 21, 14, 8, 4, 1, 0, 0, 0, 0, 0, 1, 2, 4, 6, 9, 12, 15, 18, 20, 20, 19, 17, 14, 11, 7, 5, 4, 5, 8, 14, 20, 26, 31, 32, 30, 25, 19, 12, 6, 2, 1, 1, 2, 3, 4, 4, 3, 2, 2, 1, 1, 1, 1, 2, 2, 2, 3, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 7, 13, 19, 24, 28, 30, 29, 26, 21, 15, 10, 6, 4, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 4, 3, 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, 1, 2, 5, 9, 15, 23, 33, 42, 51, 56, 56, 52, 44, 34, 24, 15, 8, 4, 1, 0, 0, 0, 0, 1, 0, 0, 0, 4, 25, 68, 140, 238, 354, 474, 577, 644, 662, 627, 544, 430, 305, 190, 99, 38, 3, 0, 0, 29, 81, 160, 261, 375, 483, 567, 612, 610, 560, 474, 366, 255, 157, 81, 32, 7, 0, 0, 0, 1, 0, 0, 0, 0, 2, 4, 5, 4, 3, 0, 0, 0, 2, 7, 13, 19, 25, 29, 31, 32, 30, 28, 24, 20, 16, 12, 7, 4, 1, 0, 0, 0, 0, 0, 0, 1, 2, 5, 9, 14, 20, 24, 27, 28, 27, 25, 21, 17, 13, 9, 5, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 10, 15, 21, 26, 29, 31, 32, 30, 27, 22, 17, 12, 7, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 8, 11, 14, 15, 15, 14, 11, 8, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 12, 35, 78, 140, 222, 315, 410, 492, 549, 572, 556, 505, 428, 336, 242, 158, 92, 45, 17, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 3, 5, 7, 9, 12, 16, 19, 22, 24, 24, 21, 18, 13, 8, 4, 2, 1, 2, 5, 9, 14, 19, 26, 32, 38, 42, 43, 41, 36, 30, 23, 16, 11, 7, 5, 4, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 10, 34, 79, 150, 251, 379, 527, 681, 824, 937, 1002, 1009, 958, 857, 719, 564, 410, 272, 162, 83, 33, 8, 0, 0, 0, 0, 2, 11, 28, 59, 103, 158, 221, 287, 346, 394, 422, 428, 411, 372, 318, 256, 191, 132, 83, 45, 20, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 9, 11, 13, 16, 19, 22, 25, 27, 27, 26, 23, 19, 16, 14, 13, 11, 10, 9, 8, 6, 6, 5, 6, 7, 9, 11, 14, 17, 19, 20, 19, 17, 14, 11, 11, 14, 23, 41, 70, 112, 165, 228, 295, 358, 411, 446, 461, 453, 425, 380, 323, 261, 198, 141, 96, 66, 55, 67, 102, 158, 230, 314, 401, 481, 548, 594, 615, 609, 578, 525, 455, 378, 298, 223, 157, 103, 62, 33, 15, 6, 2, 2, 4, 8, 11, 15, 18, 20, 22, 23, 24, 25, 29, 35, 46, 63, 88, 120, 159, 204, 252, 300, 345, 384, 415, 438, 455, 469, 482, 497, 517, 541, 569, 596, 621, 640, 649, 649, 637, 617, 590, 559, 526, 493, 460, 425, 389, 350, 307, 261, 214, 168, 126, 89, 59, 36, 20, 10, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 14, 13, 13, 12, 11, 11, 11, 12, 14, 16, 17, 18, 18, 17, 15, 13, 11, 10, 8, 7, 5, 3, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 5, 7, 9, 10, 11, 12, 11, 10, 9, 9, 8, 8, 8, 8, 8, 7, 6, 4, 2, 1, 1, 1, 3, 4, 6, 7, 7, 7, 7, 7, 9, 10, 11, 12, 11, 11, 10, 10, 10, 11, 11, 11, 10, 8, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 7, 9, 10, 10, 11, 12, 14, 15, 16, 17, 17, 15, 13, 10, 7, 5, 3, 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, 1, 1, 1, 1, 2, 3, 5, 8, 11, 15, 20, 25, 30, 37, 46, 58, 73, 93, 116, 143, 171, 200, 228, 253, 277, 298, 317, 336, 353, 368, 379, 385, 385, 379, 368, 353, 336, 316, 295, 273, 249, 224, 198, 173, 149, 127, 106, 89, 74, 61, 51, 43, 37, 32, 28, 25, 22, 19, 17, 15, 13, 12, 11, 10, 10, 10, 9, 9, 8, 7, 7, 7, 8, 10, 11, 12, 13, 12, 10, 8, 7, 6, 6, 7, 8, 9, 9, 9, 9, 9, 9, 8, 7, 6, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 7, 8, 9, 10, 11, 12, 14, 17, 20, 23, 26, 29, 31, 35, 38, 43, 48, 54, 60, 66, 73, 80, 87, 93, 99, 104, 111, 117, 123, 127, 130, 131, 132],
"basecallPos": [2710, 2724, 2736, 2752, 2764, 2780, 2794, 2808, 2823, 2836, 2851, 2863, 2877, 2888, 2903, 2916, 2927, 2945, 2958, 2971, 2984, 2997, 3009, 3025, 3039, 3051, 3065, 3079, 3092, 3105, 3118, 3134, 3146, 3160, 3175, 3188, 3201, 3215, 3228, 3239, 3254, 3267, 3282, 3294, 3309, 3322, 3334, 3348, 3361, 3373, 3387, 3401, 3414, 3426, 3438, 3452, 3466, 3478, 3490, 3505, 3519, 3533, 3546, 3560, 3574, 3587, 3601, 3613, 3626, 3638, 3651, 3663, 3675, 3689, 3702, 3715, 3729, 3741, 3755, 3768, 3782, 3794, 3806, 3821, 3833, 3847, 3861, 3873, 3885, 3900, 3912, 3926, 3939, 3952, 3964, 3978, 3991, 4003, 4017, 4031, 4044, 4057, 4069, 4082, 4095, 4108, 4119, 4132, 4145, 4157, 4169, 4183, 4195, 4207, 4221, 4234, 4248, 4260, 4274, 4287, 4300, 4313, 4326, 4338, 4351, 4365, 4377, 4390, 4402, 4416, 4429, 4441, 4453, 4466, 4479, 4493, 4506, 4519, 4532, 4544, 4556, 4568, 4581, 4595, 4608, 4621, 4634, 4645, 4658, 4671, 4683, 4695, 4708, 4721, 4733, 4747, 4760, 4773, 4785, 4797, 4809, 4822, 4836, 4848, 4862, 4875, 4887, 4899, 4912, 4924, 4936, 4949, 4961, 4973, 4985, 4998, 5011, 5024, 5037, 5049, 5060, 5073, 5087, 5099, 5113, 5125, 5137, 5149, 5161, 5173, 5187, 5199, 5213, 5225, 5237, 5249, 5260, 5272, 5285, 5298, 5311, 5324, 5335, 5348, 5361, 5373, 5386, 5399, 5410, 5422, 5434, 5446, 5459, 5472, 5484, 5497, 5509, 5522, 5535, 5546, 5558, 5571, 5585, 5597, 5610, 5622, 5634, 5646, 5658, 5670, 5683, 5695, 5708, 5720, 5733, 5745, 5758, 5771, 5783, 5794, 5807, 5819, 5832, 5843, 5856, 5868, 5880, 5892, 5905, 5918, 5930, 5943, 5956, 5968, 5979, 5991, 6004, 6017, 6029, 6042, 6055, 6066, 6079, 6091, 6102, 6114, 6127, 6140, 6152, 6163, 6176, 6189, 6201, 6213, 6225, 6237, 6249, 6261, 6274, 6286, 6299, 6311, 6323, 6335, 6346, 6359, 6370, 6383, 6394, 6407, 6420, 6431, 6443, 6456, 6468, 6481, 6492, 6504, 6516, 6528, 6541, 6553, 6566, 6577, 6589, 6601, 6614, 6626, 6638, 6650, 6662, 6675, 6687, 6700, 6712, 6723, 6735, 6748, 6760, 6772, 6784, 6797, 6808, 6821, 6834, 6846, 6857, 6869, 6882, 6893, 6906, 6918, 6931, 6944, 6955, 6967, 6978, 6990, 7001, 7014, 7027, 7039, 7052, 7064, 7077, 7088, 7100, 7112, 7123, 7135, 7147, 7160, 7171, 7182, 7194, 7206, 7218, 7231, 7244, 7255, 7268, 7280, 7292, 7304, 7317, 7328, 7341, 7354, 7366, 7378, 7389, 7401, 7412, 7425, 7437, 7450, 7462, 7474, 7486, 7498, 7511, 7523, 7534, 7546, 7558, 7570, 7582, 7593, 7605, 7617, 7629, 7641, 7653, 7665, 7678, 7690, 7702, 7713, 7725, 7736, 7749, 7761, 7772, 7783, 7796, 7807, 7819, 7832, 7843, 7855, 7867, 7879, 7892, 7902, 7915, 7928, 7940, 7951, 7964, 7976, 7988, 7999, 8011, 8023, 8035, 8046, 8058, 8069, 8081, 8093, 8105, 8116, 8128, 8139, 8151, 8164, 8176, 8187, 8199, 8211, 8223, 8235, 8247, 8260, 8272, 8284, 8296, 8308, 8320, 8332, 8345, 8357, 8369, 8381, 8392, 8405, 8417, 8429, 8442, 8454, 8465, 8477, 8489, 8502, 8514, 8526, 8538, 8550, 8561, 8573, 8585, 8596, 8608, 8619, 8630, 8642, 8653, 8664, 8677, 8689, 8701, 8713, 8725, 8737, 8749, 8761, 8773, 8785, 8797, 8808, 8821, 8833, 8844, 8857, 8868, 8880, 8891, 8903, 8914, 8925, 8938, 8950, 8962, 8974, 8987, 8999, 9010, 9021, 9032, 9044, 9055, 9067, 9080, 9092, 9104, 9116, 9128, 9139, 9150, 9162, 9174, 9186, 9199, 9210, 9221, 9233, 9245, 9257, 9268, 9280, 9292, 9305, 9317, 9329, 9340, 9353, 9365, 9377, 9389, 9401, 9413, 9425, 9437, 9450, 9462, 9474, 9487, 9499, 9510, 9521, 9533, 9544, 9555, 9568, 9580, 9593, 9604, 9618, 9630, 9641, 9654, 9665, 9677, 9688, 9699, 9711, 9723, 9736, 9747, 9760, 9770, 9782, 9795, 9806, 9818, 9829, 9841, 9853, 9865, 9876, 9887, 9899, 9911, 9923, 9935, 9948, 9960, 9972, 9983, 9994, 10006, 10017, 10029, 10039, 10052, 10064, 10076, 10087, 10099, 10110, 10121, 10133, 10146, 10158, 10170, 10180, 10193, 10203, 10216, 10228, 10241, 10252, 10263, 10274, 10286, 10298, 10310, 10322, 10334, 10345, 10357, 10369, 10382, 10394, 10405, 10418, 10431, 10443, 10455, 10468, 10479, 10489, 10502, 10513, 10524, 10537, 10548, 10560, 10572, 10585, 10597, 10608, 10620, 10631, 10644, 10656, 10669, 10681, 10694, 10706, 10716, 10727, 10738, 10749, 10761, 10773, 10784, 10795, 10807, 10818, 10829, 10842, 10854, 10867, 10878, 10890, 10902, 10914, 10926, 10938, 10948, 10961, 10973, 10985, 10997, 11010, 11020, 11034, 11046, 11057, 11069, 11079, 11090, 11102, 11114, 11127, 11139, 11151, 11163, 11172, 11185, 11198, 11209, 11221, 11235, 11246, 11258, 11270, 11282, 11294, 11307, 11319, 11332, 11343, 11354, 11366, 11377, 11390, 11400, 11411, 11424, 11435, 11447, 11459, 11472, 11483, 11497, 11509, 11522, 11534, 11544, 11556, 11568, 11581, 11592, 11604, 11614, 11626, 11637, 11648, 11659, 11672, 11684, 11696, 11709, 11721, 11734, 11747, 11757, 11769, 11780, 11791, 11802, 11815, 11827, 11839, 11850, 11862, 11873, 11885, 11896, 11909, 11921, 11933, 11944, 11957, 11967, 11980, 11993, 12005, 12017, 12031, 12043, 12056, 12068, 12080, 12092, 12103, 12115, 12128, 12138, 12151, 12163, 12176, 12187, 12199, 12212, 12224, 12235, 12248, 12257, 12269, 12281, 12293, 12304, 12315, 12325, 12336, 12347, 12357, 12370, 12380, 12394, 12407, 12418, 12429, 12442, 12455, 12466, 12479, 12492, 12505, 12519, 12532, 12545, 12556, 12565, 12574, 12585, 12598, 12609, 12622, 12634, 12647, 12660, 12672, 12685, 12697, 12708, 12721, 12732, 12743, 12758, 12770, 12782, 12795, 12805, 12818, 12831, 12840, 12852],
"basecalls": {"2710":"1:A", "2724":"2:C", "2736":"3:T", "2752":"4:C", "2764":"5:A", "2780":"6:C", "2794":"7:C", "2808":"8:G", "2823":"9:C", "2836":"10:A", "2851":"11:G", "2863":"12:T", "2877":"13:G", "2888":"14:G", "2903":"15:A", "2916":"16:A", "2927":"17:A", "2945":"18:C", "2958":"19:T", "2971":"20:G", "2984":"21:G", "2997":"22:G", "3009":"23:G", "3025":"24:C", "3039":"25:T", "3051":"26:A", "3065":"27:C", "3079":"28:A", "3092":"29:A", "3105":"30:A", "3118":"31:T", "3134":"32:C", "3146":"33:C", "3160":"34:A", "3175":"35:C", "3188":"36:T", "3201":"37:A", "3215":"38:G", "3228":"39:T", "3239":"40:T", "3254":"41:C", "3267":"42:C", "3282":"43:T", "3294":"44:T", "3309":"45:C", "3322":"46:T", "3334":"47:G", "3348":"48:A", "3361":"49:T", "3373":"50:A", "3387":"51:C", "3401":"52:A", "3414":"53:A", "3426":"54:T", "3438":"55:A", "3452":"56:C", "3466":"57:A", "3478":"58:A", "3490":"59:A", "3505":"60:C", "3519":"61:C", "3533":"62:A", "3546":"63:G", "3560":"64:A", "3574":"65:C", "3587":"66:A", "3601":"67:T", "3613":"68:G", "3626":"69:T", "3638":"70:T", "3651":"71:A", "3663":"72:T", "3675":"73:A", "3689":"74:C", "3702":"75:A", "3715":"76:G", "3729":"77:C", "3741":"78:A", "3755":"79:C", "3768":"80:A", "3782":"81:G", "3794":"82:G", "3806":"83:T", "3821":"84:C", "3833":"85:A", "3847":"86:A", "3861":"87:G", "3873":"88:G", "3885":"89:T", "3900":"90:C", "3912":"91:A", "3926":"92:G", "3939":"93:A", "3952":"94:G", "3964":"95:T", "3978":"96:C", "3991":"97:T", "4003":"98:A", "4017":"99:G", "4031":"100:C", "4044":"101:A", "4057":"102:T", "4069":"103:A", "4082":"104:G", "4095":"105:A", "4108":"106:A", "4119":"107:T", "4132":"108:C", "4145":"109:T", "4157":"110:T", "4169":"111:T", "4183":"112:C", "4195":"113:T", "4207":"114:T", "4221":"115:C", "4234":"116:G", "4248":"117:C", "4260":"118:G", "4274":"119:C", "4287":"120:G", "4300":"121:G", "4313":"122:G", "4326":"123:G", "4338":"124:T", "4351":"125:G", "4365":"126:C", "4377":"127:A", "4390":"128:T", "4402":"129:G", "4416":"130:C", "4429":"131:G", "4441":"132:T", "4453":"133:G", "4466":"134:G", "4479":"135:C", "4493":"136:C", "4506":"137:A", "4519":"138:T", "4532":"139:T", "4544":"140:A", "4556":"141:T", "4568":"142:G", "4581":"143:A", "4595":"144:C", "4608":"145:C", "4621":"146:G", "4634":"147:T", "4645":"148:G", "4658":"149:G", "4671":"150:A", "4683":"151:T", "4695":"152:A", "4708":"153:A", "4721":"154:C", "4733":"155:T", "4747":"156:C", "4760":"157:A", "4773":"158:G", "4785":"159:T", "4797":"160:T", "4809":"161:T", "4822":"162:C", "4836":"163:C", "4848":"164:A", "4862":"165:C", "4875":"166:T", "4887":"167:A", "4899":"-", "4912":"168:G", "4924":"169:T", "4936":"170:G", "4949":"171:A", "4961":"172:T", "4973":"173:A", "4985":"-", "4998":"174:A", "5011":"175:G", "5024":"176:G", "5037":"177:A", "5049":"178:T", "5060":"179:A", "5073":"180:A", "5087":"181:G", "5099":"182:C", "5113":"183:T", "5125":"184:A", "5137":"185:T", "5149":"186:T", "5161":"187:T", "5173":"188:G", "5187":"189:C", "5199":"190:A", "5213":"191:G", "5225":"192:T", "5237":"193:G", "5249":"194:T", "5260":"195:G", "5272":"196:G", "5285":"197:A", "5298":"198:A", "5311":"199:G", "5324":"200:A", "5335":"201:T", "5348":"202:C", "5361":"203:A", "5373":"204:C", "5386":"205:T", "5399":"206:T", "5410":"207:A", "5422":"208:T", "5434":"209:A", "5446":"210:A", "5459":"211:A", "5472":"212:G", "5484":"213:A", "5497":"214:C", "5509":"215:A", "5522":"216:C", "5535":"217:T", "5546":"218:G", "5558":"219:T", "5571":"220:C", "5585":"221:C", "5597":"222:A", "5610":"223:G", "5622":"224:T", "5634":"225:T", "5646":"226:G", "5658":"227:C", "5670":"228:G", "5683":"229:G", "5695":"230:A", "5708":"231:G", "5720":"232:G", "5733":"233:A", "5745":"234:A", "5758":"235:A", "5771":"236:T", "5783":"237:T", "5794":"238:G", "5807":"239:G", "5819":"240:A", "5832":"241:G", "5843":"242:T", "5856":"243:T", "5868":"244:C", "5880":"245:T", "5892":"246:T", "5905":"247:C", "5918":"248:A", "5930":"249:C", "5943":"250:C", "5956":"251:T", "5968":"252:A", "5979":"253:T", "5991":"254:T", "6004":"255:C", "6017":"256:T", "6029":"257:A", "6042":"258:G", "6055":"259:A", "6066":"260:T", "6079":"261:T", "6091":"262:T", "6102":"263:G", "6114":"264:A", "6127":"265:C", "6140":"266:A", "6152":"267:T", "6163":"268:G", "6176":"269:G", "6189":"270:A", "6201":"271:A", "6213":"272:T", "6225":"273:T", "6237":"274:T", "6249":"275:A", "6261":"276:C", "6274":"277:C", "6286":"278:T", "6299":"279:T", "6311":"280:T", "6323":"281:G", "6335":"282:T", "6346":"283:G", "6359":"284:A", "6370":"285:T", "6383":"286:T", "6394":"287:A", "6407":"288:C", "6420":"289:T", "6431":"290:G", "6443":"291:C", "6456":"292:A", "6468":"293:A", "6481":"294:A", "6492":"295:T", "6504":"296:T", "6516":"297:T", "6528":"298:C", "6541":"299:A", "6553":"300:C", "6566":"301:T", "6577":"302:G", "6589":"303:A", "6601":"304:G", "6614":"305:A", "6626":"306:C", "6638":"307:T", "6650":"308:A", "6662":"309:A", "6675":"310:C", "6687":"311:A", "6700":"312:A", "6712":"313:T", "6723":"314:G", "6735":"315:G", "6748":"316:G", "6760":"317:C", "6772":"318:A", "6784":"319:C", "6797":"320:G", "6808":"321:C", "6821":"322:C", "6834":"323:T", "6846":"324:T", "6857":"325:A", "6869":"326:A", "6882":"327:A", "6893":"328:T", "6906":"329:C", "6918":"330:A", "6931":"331:A", "6944":"332:G", "6955":"333:T", "6967":"334:G", "6978":"335:T", "6990":"336:A", "7001":"337:C", "7014":"338:C", "7027":"339:A", "7039":"340:A", "7052":"341:A", "7064":"342:T", "7077":"343:T", "7088":"344:A", "7100":"345:T", "7112":"346:G", "7123":"347:T", "7135":"348:A", "7147":"349:C", "7160":"350:G", "7171":"351:T", "7182":"352:A", "7194":"353:C", "7206":"354:C", "7218":"355:A", "7231":"356:C", "7244":"357:C", "7255":"358:A", "7268":"359:G", "7280":"360:G", "7292":"361:C", "7304":"362:G", "7317":"363:C", "7328":"364:T", "7341":"365:C", "7354":"366:C", "7366":"367:A", "7378":"368:G", "7389":"369:T", "7401":"370:G", "7412":"371:C", "7425":"372:C", "7437":"373:C", "7450":"374:G", "7462":"375:A", "7474":"376:G", "7486":"377:A", "7498":"378:A", "7511":"379:A", "7523":"380:T", "7534":"381:G", "7546":"382:G", "7558":"383:G", "7570":"384:A", "7582":"385:T", "7593":"386:G", "7605":"387:A", "7617":"388:C", "7629":"389:T", "7641":"390:A", "7653":"391:C", "7665":"392:A", "7678":"393:C", "7690":"394:A", "7702":"395:T", "7713":"396:G", "7725":"397:G", "7736":"398:C", "7749":"399:A", "7761":"400:A", "7772":"401:A", "7783":"402:C", "7796":"403:C", "7807":"404:T", "7819":"405:C", "7832":"406:T", "7843":"407:T", "7855":"408:C", "7867":"409:A", "7879":"410:A", "7892":"411:A", "7902":"412:T", "7915":"413:C", "7928":"414:C", "7940":"415:G", "7951":"416:T", "7964":"417:C", "7976":"418:A", "7988":"419:A", "7999":"420:T", "8011":"421:C", "8023":"422:T", "8035":"423:T", "8046":"424:T", "8058":"425:T", "8069":"426:A", "8081":"427:C", "8093":"428:A", "8105":"429:C", "8116":"430:T", "8128":"431:T", "8139":"432:A", "8151":"433:C", "8164":"434:G", "8176":"435:G", "8187":"436:A", "8199":"437:A", "8211":"438:C", "8223":"439:A", "8235":"440:G", "8247":"441:C", "8260":"442:C", "8272":"443:C", "8284":"444:C", "8296":"445:A", "8308":"446:G", "8320":"447:C", "8332":"448:C", "8345":"449:C", "8357":"450:G", "8369":"451:G", "8381":"452:A", "8392":"453:T", "8405":"454:C", "8417":"455:T", "8429":"456:C", "8442":"457:G", "8454":"458:G", "8465":"459:T", "8477":"460:A", "8489":"461:C", "8502":"462:C", "8514":"463:G", "8526":"464:T", "8538":"465:A", "8550":"466:T", "8561":"467:G", "8573":"468:T", "8585":"469:T", "8596":"470:G", "8608":"471:G", "8619":"472:T", "8630":"473:A", "8642":"474:T", "8653":"475:T", "8664":"476:T", "8677":"477:C", "8689":"478:G", "8701":"479:A", "8713":"480:A", "8725":"481:C", "8737":"482:G", "8749":"483:C", "8761":"484:C", "8773":"485:T", "8785":"486:A", "8797":"487:C", "8808":"488:T", "8821":"489:C", "8833":"490:A", "8844":"491:C", "8857":"492:A", "8868":"493:C", "8880":"494:T", "8891":"495:T", "8903":"496:T", "8914":"497:T", "8925":"498:A", "8938":"499:C", "8950":"500:G", "8962":"501:A", "8974":"502:C", "8987":"503:G", "8999":"504:G", "9010":"505:T", "9021":"506:T", "9032":"507:T", "9044":"508:T", "9055":"509:T", "9067":"510:C", "9080":"511:C", "9092":"512:A", "9104":"513:A", "9116":"514:A", "9128":"515:A", "9139":"516:T", "9150":"517:A", "9162":"518:C", "9174":"519:C", "9186":"520:A", "9199":"521:C", "9210":"522:T", "9221":"523:G", "9233":"524:A", "9245":"525:A", "9257":"526:G", "9268":"527:G", "9280":"528:A", "9292":"529:C", "9305":"530:C", "9317":"531:A", "9329":"532:G", "9340":"533:T", "9353":"534:C", "9365":"535:G", "9377":"536:G", "9389":"537:C", "9401":"538:A", "9413":"539:G", "9425":"540:C", "9437":"541:A", "9450":"542:C", "9462":"543:T", "9474":"544:A", "9487":"545:G", "9499":"546:G", "9510":"547:T", "9521":"548:G", "9533":"549:A", "9544":"550:C", "9555":"551:T", "9568":"552:C", "9580":"553:C", "9593":"554:C", "9604":"555:T", "9618":"556:C", "9630":"557:T", "9641":"558:A", "9654":"559:T", "9665":"560:G", "9677":"561:G", "9688":"562:T", "9699":"563:G", "9711":"564:C", "9723":"565:A", "9736":"566:G", "9747":"567:C", "9760":"568:A", "9770":"569:T", "9782":"570:C", "9795":"571:T", "9806":"572:T", "9818":"573:T", "9829":"574:A", "9841":"575:A", "9853":"576:A", "9865":"577:T", "9876":"578:G", "9887":"579:A", "9899":"580:C", "9911":"581:T", "9923":"582:T", "9935":"583:C", "9948":"584:G", "9960":"585:G", "9972":"586:T", "9983":"587:A", "9994":"588:T", "10006":"589:T", "10017":"590:T", "10029":"591:T", "10039":"592:G", "10052":"593:G", "10064":"594:C", "10076":"595:T", "10087":"596:G", "10099":"597:T", "10110":"598:T", "10121":"599:A", "10133":"600:G", "10146":"601:A", "10158":"602:G", "10170":"603:T", "10180":"604:A", "10193":"605:G", "10203":"606:T", "10216":"607:C", "10228":"608:A", "10241":"609:A", "10252":"610:T", "10263":"611:G", "10274":"612:A", "10286":"613:C", "10298":"614:C", "10310":"615:A", "10322":"616:C", "10334":"617:A", "10345":"618:A", "10357":"619:C", "10369":"620:C", "10382":"621:C", "10394":"622:G", "10405":"623:A", "10418":"624:C", "10431":"625:C", "10443":"626:A", "10455":"627:A", "10468":"628:G", "10479":"629:G", "10489":"630:T", "10502":"631:C", "10513":"632:A", "10524":"633:C", "10537":"634:C", "10548":"635:T", "10560":"636:C", "10572":"637:C", "10585":"638:A", "10597":"639:A", "10608":"640:A", "10620":"641:A", "10631":"642:T", "10644":"643:C", "10656":"644:A", "10669":"645:G", "10681":"646:A", "10694":"647:G", "10706":"648:T", "10716":"649:G", "10727":"650:T", "10738":"651:A", "10749":"652:T", "10761":"653:C", "10773":"654:T", "10784":"655:A", "10795":"656:A", "10807":"657:A", "10818":"658:A", "10829":"659:C", "10842":"660:C", "10854":"661:C", "10867":"662:A", "10878":"663:A", "10890":"664:A", "10902":"665:C", "10914":"666:A", "10926":"667:C", "10938":"668:A", "10948":"669:T", "10961":"670:C", "10973":"671:A", "10985":"672:G", "10997":"673:A", "11010":"674:G", "11020":"675:T", "11034":"676:C", "11046":"677:T", "11057":"678:G", "11069":"679:G", "11079":"680:T", "11090":"681:G", "11102":"682:C", "11114":"683:C", "11127":"684:C", "11139":"685:G", "11151":"686:C", "11163":"687:G", "11172":"688:T", "11185":"689:C", "11198":"690:C", "11209":"691:A", "11221":"692:C", "11235":"693:C", "11246":"694:G", "11258":"695:A", "11270":"696:G", "11282":"697:G", "11294":"698:G", "11307":"699:C", "11319":"700:A", "11332":"701:G", "11343":"702:T", "11354":"703:G", "11366":"704:G", "11377":"705:C", "11390":"706:A", "11400":"707:T", "11411":"708:A", "11424":"709:C", "11435":"710:T", "11447":"711:A", "11459":"712:C", "11472":"713:G", "11483":"714:G", "11497":"715:C", "11509":"716:C", "11522":"717:C", "11534":"718:T", "11544":"719:G", "11556":"720:G", "11568":"721:A", "11581":"722:G", "11592":"723:T", "11604":"724:T", "11614":"725:G", "11626":"726:A", "11637":"727:T", "11648":"728:T", "11659":"729:A", "11672":"730:C", "11684":"731:A", "11696":"732:A", "11709":"733:G", "11721":"734:G", "11734":"735:A", "11747":"736:T", "11757":"737:G", "11769":"738:G", "11780":"739:T", "11791":"740:A", "11802":"741:C", "11815":"742:A", "11827":"743:C", "11839":"744:T", "11850":"745:T", "11862":"746:A", "11873":"747:C", "11885":"748:A", "11896":"749:C", "11909":"750:C", "11921":"751:C", "11933":"752:C", "11944":"753:T", "11957":"754:C", "11967":"755:T", "11980":"756:C", "11993":"757:C", "12005":"758:A", "12017":"759:C", "12031":"760:C", "12043":"761:A", "12056":"762:A", "12068":"763:G", "12080":"764:G", "12092":"765:A", "12103":"766:T", "12115":"767:C", "12128":"768:T", "12138":"769:G", "12151":"770:A", "12163":"771:C", "12176":"772:T", "12187":"773:A", "12199":"774:C", "12212":"775:A", "12224":"776:T", "12235":"777:A", "12248":"778:T", "12257":"779:G", "12269":"780:G", "12281":"781:A", "12293":"782:T", "12304":"783:T", "12315":"784:T", "12325":"785:G", "12336":"786:G", "12347":"787:G", "12357":"788:C", "12370":"789:A", "12380":"790:C", "12394":"791:C", "12407":"792:A", "12418":"793:A", "12429":"794:A", "12442":"795:A", "12455":"796:C", "12466":"797:A", "12479":"798:A", "12492":"799:A", "12505":"800:G", "12519":"801:C", "12532":"802:A", "12545":"803:G", "12556":"804:T", "12565":"805:G", "12574":"806:T", "12585":"807:A", "12598":"808:C", "12609":"809:A", "12622":"810:C", "12634":"811:A", "12647":"812:G", "12660":"813:C", "12672":"814:A", "12685":"815:G", "12697":"816:G", "12708":"817:C", "12721":"818:T", "12732":"819:A", "12743":"820:C", "12758":"821:A", "12770":"822:A", "12782":"823:A", "12795":"824:A", "12805":"825:T", "12818":"826:C", "12831":"827:T", "12840":"828:G", "12852":"829:C"}
}
, {
"traceFileName": "dataset_152174",
"leadingGaps": 2534,
"trailingGaps": 4116,
"peakA": [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, 10, 14, 18, 24, 31, 38, 46, 54, 62, 72, 82, 93, 106, 119, 132, 144, 155, 164, 170, 175, 179, 181, 181, 180, 178, 174, 168, 159, 149, 138, 124, 110, 96, 82, 69, 57, 47, 39, 33, 28, 25, 23, 24, 27, 33, 42, 53, 66, 83, 103, 126, 153, 184, 217, 253, 289, 325, 359, 390, 418, 440, 456, 465, 466, 459, 443, 421, 392, 359, 324, 288, 253, 219, 187, 157, 129, 103, 81, 62, 47, 37, 29, 24, 21, 18, 15, 13, 11, 10, 8, 7, 6, 5, 4, 3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 8, 10, 12, 13, 13, 14, 14, 13, 12, 11, 9, 7, 5, 3, 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, 0, 0, 0, 0, 0, 4, 11, 24, 42, 65, 94, 126, 162, 201, 241, 280, 315, 344, 363, 371, 366, 348, 320, 285, 245, 204, 166, 131, 101, 76, 56, 39, 26, 16, 10, 7, 6, 7, 8, 9, 9, 8, 7, 6, 5, 5, 6, 7, 8, 8, 8, 7, 6, 5, 5, 4, 4, 4, 4, 4, 5, 6, 7, 7, 7, 6, 5, 3, 2, 1, 0, 0, 0, 0, 2, 9, 22, 41, 68, 101, 139, 181, 223, 263, 297, 322, 333, 330, 312, 282, 242, 199, 156, 118, 86, 62, 44, 31, 22, 16, 12, 9, 8, 7, 7, 7, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 5, 18, 41, 77, 125, 185, 253, 324, 392, 451, 494, 516, 513, 486, 438, 375, 305, 234, 169, 115, 73, 43, 23, 10, 4, 1, 0, 0, 1, 1, 2, 2, 3, 4, 5, 7, 9, 11, 13, 15, 16, 17, 17, 17, 16, 15, 14, 13, 10, 8, 5, 2, 0, 0, 0, 10, 32, 70, 125, 198, 285, 380, 474, 555, 615, 645, 641, 603, 536, 450, 355, 261, 178, 111, 66, 44, 45, 68, 110, 167, 233, 301, 365, 417, 452, 468, 466, 450, 429, 413, 408, 419, 446, 482, 517, 540, 543, 519, 470, 402, 323, 243, 170, 111, 65, 33, 12, 1, 0, 6, 24, 55, 99, 154, 216, 279, 335, 378, 403, 406, 386, 346, 290, 227, 164, 107, 62, 31, 11, 1, 0, 1, 11, 30, 61, 108, 169, 241, 318, 389, 446, 479, 483, 458, 408, 341, 267, 195, 132, 82, 47, 24, 11, 5, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 5, 6, 9, 12, 15, 17, 18, 17, 15, 12, 8, 5, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 10, 9, 8, 6, 5, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 8, 10, 11, 12, 12, 12, 11, 9, 6, 3, 1, 0, 0, 0, 1, 1, 0, 0, 1, 15, 46, 100, 178, 275, 381, 481, 560, 607, 617, 594, 552, 510, 485, 491, 528, 587, 651, 699, 714, 690, 635, 565, 501, 464, 466, 504, 567, 633, 682, 695, 662, 588, 482, 364, 249, 151, 78, 30, 4, 0, 7, 36, 89, 167, 268, 382, 494, 586, 642, 652, 614, 537, 436, 328, 230, 151, 98, 67, 53, 49, 49, 47, 43, 37, 29, 22, 16, 12, 10, 9, 9, 10, 13, 16, 20, 25, 30, 33, 34, 33, 30, 25, 20, 15, 11, 8, 6, 5, 5, 5, 5, 5, 6, 7, 9, 10, 11, 10, 9, 7, 5, 3, 2, 2, 3, 5, 7, 10, 11, 12, 12, 11, 9, 8, 6, 6, 6, 6, 7, 9, 10, 11, 11, 11, 9, 8, 6, 4, 3, 3, 4, 6, 9, 12, 15, 16, 17, 16, 14, 11, 9, 6, 4, 3, 3, 3, 4, 4, 4, 2, 0, 0, 0, 0, 1, 3, 2, 0, 0, 4, 29, 79, 159, 262, 376, 483, 564, 605, 597, 542, 452, 342, 233, 138, 68, 24, 4, 0, 0, 1, 1, 1, 0, 1, 4, 6, 8, 9, 9, 9, 9, 8, 6, 2, 0, 0, 13, 47, 106, 191, 295, 403, 497, 556, 570, 537, 466, 379, 301, 256, 257, 307, 393, 491, 576, 624, 621, 568, 475, 359, 242, 142, 67, 22, 2, 0, 5, 13, 18, 21, 22, 22, 22, 23, 24, 25, 25, 25, 25, 24, 22, 21, 18, 16, 13, 10, 7, 6, 5, 5, 5, 7, 9, 10, 12, 12, 12, 10, 8, 5, 3, 1, 0, 0, 0, 0, 2, 4, 7, 9, 10, 8, 5, 1, 0, 0, 1, 4, 3, 0, 0, 3, 34, 101, 208, 350, 507, 654, 760, 805, 778, 687, 550, 395, 249, 132, 54, 12, 0, 0, 2, 3, 3, 2, 4, 9, 17, 25, 32, 37, 37, 36, 32, 28, 23, 20, 16, 14, 12, 12, 12, 14, 17, 18, 17, 13, 8, 2, 0, 0, 3, 5, 4, 0, 0, 8, 52, 138, 268, 429, 596, 738, 825, 837, 773, 646, 484, 319, 178, 77, 20, 0, 0, 2, 7, 8, 7, 7, 9, 14, 20, 25, 29, 31, 31, 31, 29, 26, 21, 15, 9, 4, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 7, 8, 7, 6, 4, 3, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 4, 4, 3, 3, 3, 2, 1, 0, 0, 0, 0, 4, 6, 5, 0, 0, 5, 39, 108, 214, 347, 483, 593, 651, 643, 572, 463, 348, 266, 244, 294, 401, 536, 658, 730, 729, 652, 522, 375, 255, 198, 222, 323, 477, 644, 781, 852, 842, 751, 603, 430, 264, 132, 46, 5, 0, 3, 9, 7, 0, 0, 11, 63, 159, 294, 449, 597, 708, 757, 733, 643, 507, 354, 212, 103, 35, 3, 0, 0, 4, 5, 3, 0, 1, 5, 12, 19, 24, 27, 27, 25, 22, 17, 13, 9, 6, 5, 7, 11, 16, 18, 18, 14, 7, 1, 0, 0, 4, 8, 6, 0, 0, 9, 57, 149, 285, 447, 605, 724, 773, 739, 631, 479, 325, 212, 174, 221, 343, 505, 665, 778, 816, 770, 652, 492, 325, 181, 78, 20, 0, 0, 7, 14, 16, 14, 11, 9, 11, 14, 18, 22, 25, 25, 24, 22, 19, 16, 13, 10, 7, 3, 0, 0, 0, 2, 6, 7, 3, 0, 0, 15, 66, 156, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 279, 416, 540, 623, 645, 602, 505, 377, 246, 134, 57, 14, 0, 0, 2, 5, 4, 1, 0, 2, 7, 13, 18, 22, 23, 21, 19, 16, 14, 13, 13, 15, 18, 20, 22, 22, 21, 19, 16, 14, 12, 11, 10, 10, 10, 10, 11, 12, 14, 16, 17, 15, 9, 2, 0, 0, 1, 9, 13, 8, 0, 0, 14, 89, 232, 438, 679, 908, 1073, 1134, 1075, 912, 685, 446, 240, 96, 19, 0, 0, 7, 12, 9, 2, 0, 0, 8, 19, 30, 36, 36, 27, 11, 0, 0, 22, 96, 222, 387, 566, 720, 813, 823, 747, 606, 432, 264, 131, 44, 3, 0, 1, 8, 11, 10, 7, 8, 13, 21, 31, 37, 38, 32, 22, 12, 4, 2, 4, 6, 5, 0, 0, 2, 36, 109, 221, 358, 494, 600, 649, 629, 545, 418, 277, 151, 58, 7, 0, 0, 12, 18, 12, 0, 0, 10, 76, 197, 366, 557, 731, 848, 879, 816, 675, 491, 305, 153, 53, 4, 0, 0, 7, 9, 4, 0, 0, 2, 11, 21, 29, 32, 30, 26, 21, 17, 14, 11, 10, 8, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 2, 0, 0, 0, 0, 5, 9, 9, 2, 0, 0, 30, 104, 223, 372, 524, 642, 693, 662, 556, 407, 257, 151, 119, 168, 282, 424, 554, 633, 642, 581, 469, 334, 205, 104, 39, 8, 0, 2, 6, 8, 8, 7, 8, 11, 17, 24, 32, 38, 41, 39, 31, 20, 9, 2, 3, 9, 14, 12, 1, 0, 3, 61, 182, 366, 588, 804, 959, 1010, 941, 772, 552, 348, 224, 218, 333, 535, 760, 940, 1018, 971, 814, 596, 386, 249, 229, 333, 529, 758, 955, 1061, 1050, 927, 726, 496, 287, 130, 37, 0, 0, 11, 23, 27, 24, 20, 17, 19, 25, 32, 38, 41, 41, 37, 30, 23, 16, 9, 5, 3, 3, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 5, 5, 5, 4, 4, 3, 1, 0, 0, 0, 0, 1, 3, 6, 8, 10, 11, 10, 9, 6, 4, 2, 0, 0, 0, 2, 5, 8, 10, 12, 12, 11, 9, 6, 4, 2, 2, 2, 3, 4, 3, 1, 0, 0, 0, 3, 8, 10, 5, 0, 0, 12, 68, 169, 306, 457, 587, 662, 662, 587, 458, 309, 172, 71, 15, 0, 0, 4, 8, 7, 3, 1, 4, 10, 17, 22, 23, 21, 18, 14, 12, 12, 12, 12, 11, 9, 6, 1, 0, 0, 0, 3, 10, 12, 6, 0, 0, 14, 79, 196, 356, 531, 682, 769, 769, 682, 532, 358, 199, 82, 17, 0, 0, 5, 9, 7, 3, 1, 4, 12, 20, 25, 25, 20, 13, 6, 1, 0, 0, 0, 3, 6, 9, 11, 13, 15, 15, 14, 12, 10, 7, 5, 4, 4, 4, 5, 5, 4, 1, 0, 0, 0, 4, 10, 10, 4, 0, 0, 25, 99, 222, 380, 544, 675, 737, 715, 615, 463, 298, 155, 57, 6, 0, 0, 7, 11, 10, 7, 8, 13, 22, 29, 32, 30, 23, 16, 9, 6, 6, 9, 13, 17, 21, 22, 22, 20, 18, 15, 13, 11, 11, 10, 10, 9, 8, 8, 9, 11, 14, 16, 14, 9, 1, 0, 0, 3, 14, 20, 15, 0, 0, 8, 94, 261, 501, 774, 1018, 1169, 1184, 1057, 824, 552, 316, 176, 158, 251, 409, 569, 671, 681, 593, 440, 274, 159, 141, 241, 443, 697, 936, 1095, 1130, 1035, 836, 587, 346, 158, 44, 0, 0, 5, 14, 12, 4, 0, 1, 12, 27, 40, 48, 47, 41, 32, 24, 18, 15, 13, 14, 15, 16, 18, 19, 20, 20, 19, 16, 13, 9, 7, 5, 5, 7, 9, 11, 12, 13, 12, 11, 9, 7, 5, 4, 3, 3, 4, 5, 7, 8, 8, 8, 6, 5, 3, 2, 1, 3, 5, 9, 12, 15, 17, 16, 15, 12, 8, 5, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 4, 1, 0, 0, 0, 3, 11, 16, 11, 0, 0, 3, 64, 183, 356, 553, 730, 839, 852, 763, 599, 402, 220, 86, 11, 0, 0, 13, 23, 19, 6, 0, 0, 31, 107, 223, 364, 500, 597, 626, 576, 456, 300, 157, 73, 80, 185, 364, 570, 747, 843, 830, 711, 516, 300, 122, 34, 63, 205, 426, 670, 875, 989, 986, 873, 683, 464, 264, 115, 29, 0, 0, 8, 19, 24, 26, 30, 36, 44, 50, 51, 47, 38, 28, 18, 11, 8, 7, 7, 9, 10, 10, 8, 4, 0, 0, 0, 3, 10, 12, 7, 0, 0, 10, 72, 185, 339, 506, 646, 721, 709, 614, 463, 295, 150, 50, 2, 0, 0, 9, 11, 6, 0, 0, 1, 9, 17, 20, 17, 9, 0, 0, 0, 4, 13, 17, 10, 0, 0, 17, 102, 253, 457, 675, 854, 945, 923, 793, 592, 375, 188, 62, 1, 0, 0, 12, 18, 15, 10, 9, 13, 19, 23, 22, 17, 9, 3, 0, 0, 1, 4, 7, 8, 8, 6, 4, 2, 0, 0, 0, 0, 1, 4, 6, 8, 9, 8, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 7, 7, 6, 5, 3, 1, 0, 0, 0, 1, 3, 6, 9, 11, 11, 10, 7, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 4, 8, 10, 8, 2, 0, 0, 0, 10, 20, 20, 7, 0, 0, 46, 182, 403, 680, 953, 1152, 1221, 1139, 931, 655, 381, 166, 36, 0, 0, 11, 30, 31, 16, 0, 0, 6, 73, 192, 353, 527, 677, 763, 763, 675, 522, 345, 183, 66, 2, 0, 0, 16, 27, 23, 7, 0, 0, 36, 135, 287, 472, 649, 772, 804, 729, 567, 362, 175, 58, 46, 140, 308, 499, 656, 736, 719, 617, 461, 295, 154, 58, 8, 0, 0, 1, 7, 10, 10, 7, 0, 0, 0, 33, 123, 269, 454, 639, 778, 831, 783, 648, 463, 277, 128, 33, 0, 0, 0, 14, 22, 20, 10, 0, 0, 3, 63, 182, 353, 553, 736, 855, 874, 785, 609, 392, 193, 64, 34, 107, 256, 436, 595, 688, 688, 594, 429, 239, 77, 0, 23, 166, 397, 661, 893, 1033, 1047, 936, 733, 493, 273, 111, 22, 0, 0, 9, 15, 10, 2, 0, 5, 19, 32, 38, 33, 20, 6, 0, 0, 7, 15, 15, 3, 0, 0, 48, 166, 347, 563, 763, 895, 918, 827, 648, 432, 232, 88, 12, 0, 1, 14, 16, 6, 0, 0, 4, 20, 27, 18, 0, 0, 26, 149, 369, 660, 964, 1203, 1310, 1255, 1054, 765, 465, 218, 60, 0, 0, 2, 24, 32, 24, 6, 0, 0, 15, 90, 217, 384, 563, 712, 792, 778, 674, 508, 325, 165, 55, 0, 0, 0, 13, 20, 20, 17, 17, 21, 28, 33, 35, 33, 28, 22, 17, 14, 12, 12, 12, 11, 10, 9, 7, 6, 6, 6, 8, 10, 13, 14, 14, 13, 11, 10, 8, 6, 3, 0, 0, 0, 0, 8, 15, 15, 6, 0, 0, 26, 112, 253, 431, 604, 728, 766, 707, 569, 392, 221, 91, 15, 0, 0, 4, 16, 21, 17, 6, 0, 0, 7, 70, 186, 347, 522, 671, 752, 741, 641, 482, 306, 153, 49, 0, 0, 0, 11, 21, 22, 13, 0, 0, 0, 43, 144, 297, 479, 650, 765, 789, 716, 567, 383, 210, 82, 12, 0, 0, 10, 20, 21, 17, 14, 15, 18, 21, 22, 19, 14, 8, 1, 0, 0, 0, 6, 14, 16, 8, 0, 0, 16, 95, 234, 418, 610, 761, 827, 790, 661, 478, 289, 135, 36, 0, 0, 0, 14, 24, 24, 13, 0, 0, 0, 57, 182, 367, 583, 781, 907, 923, 825, 641, 423, 224, 82, 7, 0, 0, 12, 19, 16, 10, 6, 9, 16, 23, 27, 27, 24, 19, 16, 13, 11, 9, 7, 5, 3, 2, 1, 1, 1, 0, 0, 0, 0, 1, 3, 4, 6, 7, 8, 8, 7, 4, 0, 0, 0, 0, 8, 16, 18, 8, 0, 0, 26, 121, 283, 491, 701, 857, 913, 847, 676, 449, 228, 76, 28, 89, 229, 398, 543, 622, 615, 531, 399, 255, 132, 48, 6, 0, 1, 10, 14, 14, 12, 12, 15, 21, 27, 31, 33, 32, 30, 27, 24, 20, 17, 14, 11, 9, 6, 5, 4, 5, 6, 7, 9, 10, 11, 12, 13, 13, 13, 12, 9, 3, 0, 0, 0, 5, 13, 15, 8, 0, 0, 15, 90, 221, 392, 567, 701, 755, 714, 590, 420, 249, 113, 31, 0, 0, 1, 4, 2, 2, 10, 21, 25, 13, 0, 0, 32, 177, 432, 771, 1125, 1403, 1528, 1461, 1223, 883, 531, 245, 65, 0, 0, 9, 31, 40, 38, 35, 38, 46, 54, 56, 50, 38, 24, 14, 10, 11, 15, 18, 19, 17, 12, 7, 3, 1, 0, 0, 0, 0, 0, 0, 1, 3, 5, 6, 4, 0, 0, 0, 0, 9, 18, 19, 9, 0, 0, 24, 123, 290, 504, 720, 879, 935, 873, 711, 496, 284, 120, 24, 0, 0, 11, 24, 26, 22, 17, 16, 20, 25, 28, 26, 19, 9, 0, 0, 0, 5, 13, 15, 7, 0, 0, 21, 103, 244, 424, 606, 742, 793, 744, 611, 432, 253, 113, 26, 0, 0, 0, 14, 23, 22, 12, 0, 0, 0, 60, 189, 380, 603, 805, 932, 947, 845, 656, 433, 230, 86, 11, 0, 0, 11, 14, 9, 5, 7, 14, 19, 13, 0, 0, 22, 116, 287, 517, 760, 953, 1038, 983, 797, 531, 260, 62, 0, 70, 269, 528, 772, 931, 965, 871, 684, 459, 251, 99, 17, 0, 0, 12, 21, 21, 16, 12, 13, 16, 19, 19, 14, 8, 3, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 5, 8, 10, 10, 9, 7, 4, 2, 0, 0, 0, 0, 1, 3, 4, 5, 5, 4, 3, 1, 0, 0, 0, 0, 1, 4, 6, 8, 8, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 3, 5, 8, 12, 14, 15, 14, 12, 8, 4, 0, 0, 0, 2, 6, 9, 12, 13, 12, 9, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 6, 9, 12, 14, 13, 11, 8, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 9, 13, 15, 16, 15, 13, 11, 8, 7, 5, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 9, 8, 7, 4, 2, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 1, 3, 5, 7, 8, 7, 5, 3, 1, 0, 1, 3, 6, 10, 12, 14, 14, 13, 11, 10, 8, 7, 7, 7, 7, 7, 6, 5, 3, 2, 2, 2, 4, 6, 10, 13, 17, 20, 22, 23, 24, 22, 19, 16, 12, 11, 10, 12, 12, 11, 7, 1, 0, 0, 1, 10, 16, 13, 1, 0, 0, 50, 163, 332, 526, 700, 805, 811, 715, 546, 352, 180, 60, 0, 0, 0, 15, 22, 21, 15, 11, 11, 14, 18, 20, 20, 18, 15, 13, 11, 10, 8, 8, 7, 6, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 5, 7, 10, 12, 14, 14, 13, 12, 10, 7, 5, 3, 2, 0, 0, 0, 0, 1, 2, 4, 6, 8, 8, 8, 8, 9, 10, 12, 14, 15, 15, 13, 10, 7, 4, 3, 4, 6, 9, 12, 13, 14, 13, 11, 9, 7, 6, 5, 4, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 1, 4, 6, 7, 5, 1, 0, 0, 0, 8, 13, 12, 2, 0, 0, 36, 125, 260, 419, 565, 657, 669, 597, 462, 303, 159, 56, 3, 0, 0, 12, 21, 23, 20, 17, 16, 17, 17, 15, 11, 4, 0, 0, 0, 4, 13, 18, 12, 0, 0, 2, 68, 197, 378, 577, 743, 829, 809, 690, 506, 308, 144, 38, 0, 0, 5, 21, 27, 23, 16, 10, 7, 8, 10, 12, 11, 7, 1, 0, 0, 0, 9, 20, 21, 9, 0, 0, 30, 147, 342, 590, 838, 1019, 1081, 1003, 811, 560, 316, 129, 22, 0, 0, 11, 24, 24, 17, 10, 9, 12, 15, 16, 13, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 3, 6, 9, 12, 13, 12, 9, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 5, 5, 4, 3, 3, 2, 3, 4, 5, 6, 6, 5, 3, 1, 0, 0, 1, 5, 10, 12, 9, 3, 0, 0, 0, 10, 22, 24, 10, 0, 0, 36, 170, 394, 677, 957, 1157, 1221, 1128, 908, 624, 350, 141, 21, 0, 0, 13, 32, 34, 20, 0, 0, 0, 50, 158, 316, 500, 669, 774, 779, 675, 487, 269, 90, 10, 62, 239, 493, 754, 948, 1022, 961, 788, 556, 326, 145, 36, 0, 0, 8, 19, 19, 13, 7, 7, 11, 17, 20, 20, 16, 12, 10, 10, 12, 14, 14, 13, 11, 8, 6, 3, 0, 0, 0, 0, 6, 13, 14, 6, 0, 0, 20, 100, 234, 406, 579, 707, 753, 705, 575, 403, 232, 99, 20, 0, 0, 8, 18, 21, 17, 11, 8, 7, 7, 7, 5, 3, 1, 0, 0, 2, 4, 5, 6, 5, 4, 2, 1, 0, 0, 0, 2, 5, 9, 12, 13, 12, 9, 6, 2, 0, 0, 0, 2, 5, 8, 11, 12, 12, 10, 7, 4, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 3, 0, 0, 0, 0, 6, 14, 15, 7, 0, 0, 18, 98, 235, 413, 592, 726, 776, 727, 594, 416, 240, 103, 21, 0, 0, 7, 15, 15, 9, 3, 3, 7, 13, 17, 16, 11, 3, 0, 0, 6, 15, 20, 14, 0, 0, 1, 63, 186, 363, 561, 731, 828, 822, 716, 541, 344, 173, 56, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 0, 0, 1, 16, 25, 24, 19, 15, 13, 13, 14, 12, 9, 6, 4, 4, 6, 9, 12, 12, 9, 6, 4, 4, 7, 11, 14, 15, 11, 6, 3, 4, 11, 17, 16, 6, 0, 0, 31, 130, 290, 489, 682, 818, 857, 788, 631, 433, 242, 98, 14, 0, 0, 9, 22, 25, 17, 2, 0, 0, 31, 112, 238, 392, 542, 647, 673, 607, 462, 277, 108, 9, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 15, 132, 332, 561, 756, 863, 856, 743, 560, 357, 181, 61, 2, 0, 1, 16, 24, 24, 20, 16, 15, 16, 19, 22, 24, 24, 22, 17, 11, 7, 8, 15, 23, 24, 12, 0, 0, 19, 123, 305, 548, 801, 999, 1085, 1036, 864, 621, 371, 167, 39, 0, 0, 8, 29, 37, 29, 10, 0, 0, 24, 111, 252, 432, 617, 758, 814, 761, 609, 396, 186, 41, 9, 103, 302, 550, 778, 925, 952, 859, 676, 457, 253, 103, 18, 0, 0, 14, 27, 31, 28, 24, 23, 23, 24, 22, 17, 11, 5, 1, 0, 0, 0, 1, 3, 6, 9, 11, 12, 9, 4, 0, 0, 0, 8, 17, 19, 10, 0, 0, 16, 99, 243, 433, 627, 776, 837, 792, 654, 464, 272, 120, 27, 0, 0, 8, 21, 25, 21, 15, 11, 9, 9, 8, 5, 3, 1, 1, 3, 6, 9, 10, 10, 8, 6, 3, 0, 0, 0, 0, 2, 5, 7, 7, 7, 5, 3, 0, 0, 0, 1, 3, 5, 6, 6, 6, 4, 3, 3, 3, 3, 2, 0, 0, 0, 0, 5, 11, 12, 5, 0, 0, 18, 87, 203, 352, 500, 610, 649, 607, 497, 349, 203, 89, 20, 0, 0, 6, 16, 20, 18, 14, 11, 11, 11, 10, 8, 6, 5, 4, 5, 6, 7, 8, 8, 8, 7, 6, 6, 7, 9, 11, 13, 14, 14, 13, 11, 9, 6, 3, 1, 0, 0, 0, 1, 3, 4, 5, 5, 4, 4, 3, 4, 6, 8, 11, 14, 16, 16, 14, 12, 8, 5, 4, 5, 9, 13, 14, 12, 6, 1, 0, 4, 13, 20, 17, 3, 0, 0, 60, 194, 398, 641, 867, 1015, 1039, 927, 707, 443, 209, 73, 70, 194, 401, 625, 797, 870, 827, 687, 495, 301, 146, 48, 2, 0, 0, 1, 8, 17, 26, 28, 15, 0, 0, 22, 164, 426, 785, 1173, 1494, 1659, 1619, 1387, 1030, 644, 316, 97, 0, 0, 4, 34, 51, 53, 50, 48, 49, 50, 45, 34, 19, 8, 4, 7, 13, 13, 4, 0, 0, 30, 115, 251, 419, 581, 696, 730, 675, 547, 381, 219, 94, 20, 0, 0, 9, 21, 26, 26, 22, 19, 17, 15, 13, 10, 8, 8, 10, 14, 18, 20, 19, 16, 12, 9, 7, 6, 5, 4, 2, 3, 6, 13, 19, 20, 10, 0, 0, 14, 90, 226, 406, 595, 745, 812, 778, 653, 473, 286, 133, 35, 0, 0, 2, 17, 25, 25, 18, 6, 0, 0, 14, 73, 175, 312, 456, 573, 625, 594, 482, 320, 153, 33, 0, 70, 229, 437, 640, 782, 824, 753, 588, 374, 170, 33, 0, 75, 238, 440, 623, 735, 750, 668, 518, 344, 187, 75, 15, 0, 0, 4, 7, 9, 11, 16, 17, 9, 0, 0, 15, 103, 266, 489, 732, 934, 1039, 1017, 874, 652, 409, 202, 62, 0, 0, 0, 19, 28, 23, 7, 0, 0, 11, 78, 192, 340, 494, 618, 677, 654, 555, 409, 253, 123, 37, 0, 0, 1, 9, 11, 6, 0, 0, 0, 1, 4, 5, 4, 3, 3, 3, 5, 7, 8, 8, 6, 3, 1, 1, 2, 5, 7, 9, 9, 8, 7, 4, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 3, 1, 0, 0, 0, 4, 11, 13, 7, 0, 0, 11, 75, 189, 343, 508, 643, 711, 693, 594, 443, 280, 140, 45, 0, 0, 1, 14, 20, 20, 17, 14, 14, 15, 17, 17, 16, 14, 12, 12, 13, 15, 18, 20, 21, 21, 20, 18, 15, 13, 13, 13, 16, 18, 21, 23, 24, 23, 22, 21, 19, 18, 17, 16, 16, 16, 17, 18, 19, 19, 19, 18, 16, 13, 10, 8, 6, 5, 5, 5, 6, 8, 9, 10, 12, 14, 16, 18, 21, 23, 23, 22, 20, 16, 13, 13, 15, 19, 21, 20, 15, 10, 7, 12, 21, 27, 23, 5, 0, 0, 57, 206, 439, 722, 993, 1181, 1232, 1132, 911, 629, 357, 150, 29, 0, 0, 18, 39, 46, 43, 37, 34, 36, 40, 43, 42, 35, 24, 13, 9, 13, 23, 30, 25, 6, 0, 0, 66, 229, 482, 784, 1069, 1259, 1297, 1168, 908, 589, 301, 117, 74, 167, 348, 550, 702, 757, 697, 544, 347, 169, 71, 89, 227, 454, 709, 923, 1037, 1023, 889, 674, 436, 227, 81, 7, 0, 1, 21, 34, 39, 37, 34, 32, 31, 29, 27, 24, 21, 20, 20, 21, 21, 20, 18, 15, 13, 12, 13, 15, 18, 20, 22, 23, 23, 21, 19, 17, 16, 17, 18, 18, 16, 11, 6, 4, 7, 15, 21, 19, 6, 0, 0, 38, 151, 332, 555, 773, 928, 976, 903, 731, 508, 291, 124, 26, 0, 0, 10, 23, 25, 20, 13, 10, 10, 12, 13, 12, 10, 8, 8, 8, 9, 10, 9, 6, 4, 1, 0, 0, 0, 2, 5, 8, 10, 11, 11, 9, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 7, 11, 15, 17, 17, 14, 10, 5, 1, 0, 0, 2, 6, 9, 12, 13, 13, 12, 10, 7, 4, 1, 0, 0, 0, 3, 9, 12, 8, 0, 0, 4, 55, 152, 289, 441, 572, 646, 642, 561, 427, 275, 141, 49, 2, 0, 0, 10, 14, 11, 4, 0, 0, 0, 0, 3, 4, 4, 3, 2, 1, 0, 0, 0, 1, 2, 4, 3, 1, 0, 0, 0, 3, 11, 16, 12, 0, 0, 0, 52, 161, 322, 511, 683, 794, 812, 732, 577, 390, 215, 86, 14, 0, 0, 11, 21, 23, 19, 15, 12, 11, 11, 9, 7, 5, 4, 5, 8, 12, 15, 16, 15, 13, 9, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 2, 1, 0, 2, 7, 14, 18, 16, 6, 0, 0, 25, 105, 237, 404, 573, 700, 752, 715, 598, 436, 268, 131, 42, 1, 0, 0, 5, 10, 13, 16, 18, 13, 0, 0, 0, 58, 189, 392, 639, 875, 1041, 1090, 1007, 818, 573, 333, 146, 34, 0, 0, 10, 26, 31, 29, 23, 18, 15, 13, 11, 8, 6, 6, 9, 12, 16, 17, 16, 12, 7, 2, 0, 0, 1, 4, 9, 12, 14, 13, 10, 7, 5, 5, 5, 5, 3, 0, 0, 0, 7, 14, 16, 9, 0, 0, 17, 98, 242, 435, 642, 811, 898, 878, 756, 568, 363, 184, 62, 0, 0, 0, 15, 24, 21, 7, 0, 0, 11, 75, 183, 325, 472, 591, 650, 630, 539, 401, 253, 126, 40, 0, 0, 1, 14, 21, 22, 18, 13, 10, 7, 6, 5, 6, 7, 9, 11, 12, 12, 10, 8, 5, 3, 4, 6, 9, 10, 9, 5, 0, 0, 0, 7, 15, 17, 8, 0, 0, 25, 114, 265, 461, 662, 817, 880, 829, 675, 460, 246, 95, 50, 122, 286, 493, 682, 799, 815, 730, 573, 386, 214, 88, 17, 0, 0, 11, 20, 22, 18, 13, 9, 6, 5, 4, 3, 4, 7, 11, 14, 16, 16, 14, 11, 7, 4, 1, 0, 0, 0, 1, 8, 13, 12, 3, 0, 0, 31, 118, 257, 429, 598, 722, 765, 715, 587, 417, 246, 112, 29, 0, 0, 3, 12, 12, 6, 0, 0, 0, 0, 2, 5, 8, 11, 13, 14, 13, 11, 8, 4, 1, 0, 0, 0, 0, 1, 3, 6, 9, 12, 14, 13, 11, 8, 4, 1, 0, 0, 0, 2, 5, 8, 9, 10, 9, 7, 4, 1, 0, 0, 0, 2, 6, 10, 13, 15, 15, 13, 9, 5, 3, 1, 2, 3, 4, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 1, 3, 5, 7, 7, 6, 4, 3, 4, 5, 5, 3, 0, 0, 0, 0, 9, 16, 15, 3, 0, 0, 47, 166, 353, 582, 805, 967, 1023, 957, 789, 564, 339, 158, 44, 0, 0, 6, 22, 28, 27, 22, 17, 15, 14, 11, 6, 3, 2, 6, 13, 16, 11, 0, 0, 1, 51, 152, 299, 470, 624, 723, 738, 666, 527, 359, 201, 84, 17, 0, 0, 5, 11, 9, 4, 0, 0, 0, 0, 2, 4, 5, 6, 8, 10, 11, 10, 8, 5, 2, 0, 0, 0, 2, 5, 8, 10, 11, 10, 8, 6, 4, 3, 3, 2, 1, 0, 0, 0, 1, 6, 9, 6, 0, 0, 3, 40, 113, 219, 340, 450, 518, 525, 465, 356, 227, 117, 58, 68, 146, 270, 406, 514, 564, 539, 444, 305, 163, 62, 37, 104, 256, 456, 656, 804, 861, 814, 679, 494, 304, 147, 46, 0, 0, 3, 17, 24, 24, 20, 16, 13, 11, 9, 6, 4, 3, 4, 7, 11, 13, 13, 11, 7, 4, 1, 0, 0, 0, 2, 4, 6, 8, 8, 8, 7, 6, 4, 1, 0, 0, 0, 1, 6, 9, 7, 0, 0, 0, 35, 109, 221, 354, 479, 565, 588, 542, 440, 309, 182, 82, 22, 0, 0, 2, 8, 8, 4, 0, 0, 0, 0, 1, 3, 3, 4, 5, 7, 10, 11, 10, 8, 5, 2, 2, 4, 6, 7, 5, 2, 0, 0, 6, 14, 17, 10, 0, 0, 11, 87, 230, 431, 655, 851, 968, 975, 870, 684, 464, 262, 112, 26, 0, 0, 3, 11, 15, 16, 15, 11, 1, 0, 0, 36, 134, 296, 504, 718, 887, 966, 931, 794, 591, 374, 190, 65, 3, 0, 0, 12, 17, 14, 9, 6, 7, 12, 15, 15, 13, 11, 11, 15, 18, 16, 7, 0, 0, 23, 94, 213, 370, 535, 669, 736, 714, 606, 439, 258, 113, 47, 81, 208, 398, 602, 766, 850, 834, 726, 557, 369, 203, 83, 16, 0, 0, 5, 13, 15, 10, 0, 0, 0, 21, 80, 177, 305, 441, 555, 616, 605, 523, 389, 240, 118, 56, 71, 160, 296, 441, 555, 608, 586, 500, 373, 237, 122, 43, 3, 0, 1, 13, 21, 24, 24, 23, 22, 22, 21, 20, 18, 16, 16, 16, 18, 18, 18, 16, 13, 10, 7, 5, 5, 7, 10, 12, 14, 14, 13, 10, 7, 4, 2, 1, 1, 2, 4, 6, 7, 9, 9, 9, 8, 8, 7, 7, 7, 6, 4, 0, 0, 0, 0, 5, 11, 10, 3, 0, 0, 26, 102, 225, 381, 541, 664, 720, 692, 589, 439, 279, 143, 51, 5, 0, 0, 7, 10, 7, 1, 0, 0, 0, 3, 6, 9, 11, 12, 13, 13, 12, 10, 7, 5, 2, 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, 1, 3, 6, 8, 10, 11, 11, 9, 8, 6, 4, 1, 0, 0, 0, 2, 8, 12, 11, 2, 0, 0, 34, 115, 242, 399, 556, 676, 726, 691, 580, 423, 262, 140, 85, 108, 194, 312, 423, 492, 497, 436, 328, 207, 110, 72, 110, 220, 377, 542, 674, 738, 720, 626, 481, 320, 177, 73, 15, 0, 0, 10, 21, 26, 26, 25, 23, 21, 18, 13, 8, 3, 1, 3, 7, 10, 7, 0, 0, 2, 37, 109, 217, 346, 471, 561, 593, 556, 458, 325, 194, 100, 68, 104, 198, 322, 439, 519, 539, 497, 405, 289, 175, 84, 26, 0, 0, 2, 9, 13, 13, 11, 9, 8, 7, 6, 5, 4, 3, 4, 6, 8, 10, 10, 8, 5, 3, 0, 0, 0, 0, 2, 3, 3, 3, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 6, 10, 8, 0, 0, 0, 34, 111, 229, 372, 510, 609, 643, 604, 502, 365, 225, 111, 36, 1, 0, 0, 6, 8, 4, 0, 0, 0, 2, 4, 3, 1, 0, 0, 2, 6, 8, 4, 0, 0, 14, 64, 152, 271, 400, 511, 574, 571, 501, 381, 244, 126, 60, 64, 136, 257, 393, 509, 571, 563, 485, 356, 212, 93, 36, 63, 176, 352, 552, 728, 836, 849, 769, 616, 430, 253, 116, 32, 0, 0, 6, 17, 21, 20, 17, 14, 14, 14, 12, 9, 5, 0, 0, 2, 7, 11, 11, 4, 0, 0, 21, 85, 192, 332, 481, 606, 676, 672, 597, 470, 322, 185, 81, 20, 0, 0, 7, 16, 20, 18, 13, 8, 4, 2, 2, 3, 5, 7, 8, 9, 9, 8, 7, 6, 6, 7, 8, 7, 6, 4, 3, 4, 7, 10, 9, 4, 0, 0, 17, 72, 165, 288, 420, 531, 593, 590, 523, 410, 279, 158, 68, 16, 0, 0, 3, 7, 6, 3, 0, 0, 0, 0, 2, 4, 6, 9, 11, 13, 13, 11, 9, 6, 3, 2, 2, 2, 0, 0, 0, 0, 3, 7, 8, 5, 0, 0, 8, 49, 127, 237, 362, 476, 550, 567, 520, 423, 301, 181, 86, 26, 0, 0, 1, 6, 6, 3, 0, 0, 0, 2, 3, 3, 0, 0, 0, 1, 6, 8, 4, 0, 0, 10, 55, 140, 258, 393, 515, 594, 611, 561, 458, 327, 198, 95, 29, 0, 0, 0, 6, 7, 3, 0, 0, 0, 3, 6, 7, 5, 1, 0, 0, 1, 5, 5, 2, 0, 0, 15, 58, 132, 228, 332, 420, 470, 471, 421, 335, 232, 136, 62, 17, 0, 0, 2, 6, 7, 5, 2, 0, 0, 1, 3, 4, 5, 6, 7, 8, 8, 7, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 7, 8, 8, 8, 7, 5, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 7, 10, 12, 14, 15, 15, 13, 11, 8, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 3, 5, 5, 0, 0, 0, 21, 71, 151, 252, 357, 441, 486, 480, 425, 336, 233, 137, 64, 19, 0, 0, 1, 6, 8, 8, 6, 5, 4, 5, 6, 7, 9, 10, 12, 13, 14, 14, 13, 12, 10, 8, 8, 9, 10, 11, 12, 12, 11, 10, 9, 8, 8, 7, 7, 7, 6, 5, 3, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 10, 12, 11, 8, 6, 6, 9, 12, 10, 3, 0, 0, 30, 110, 243, 417, 603, 761, 853, 857, 772, 621, 440, 267, 131, 44, 3, 0, 0, 5, 10, 12, 9, 2, 0, 0, 18, 79, 188, 343, 522, 691, 811, 851, 800, 671, 499, 330, 211, 173, 224, 347, 502, 645, 732, 738, 662, 526, 369, 238, 170, 184, 277, 423, 579, 703, 762, 742, 648, 505, 346, 202, 93, 27, 0, 0, 6, 16, 21, 21, 19, 17, 15, 15, 17, 18, 19, 19, 19, 18, 16, 13, 11, 10, 9, 10, 11, 13, 15, 16, 17, 16, 15, 12, 10, 8, 8, 10, 12, 14, 13, 11, 8, 6, 7, 10, 11, 7, 0, 0, 6, 53, 148, 289, 462, 633, 766, 830, 809, 708, 553, 378, 218, 98, 27, 0, 0, 7, 17, 21, 21, 20, 20, 23, 28, 31, 31, 28, 25, 23, 22, 20, 15, 4, 0, 0, 31, 116, 259, 449, 658, 846, 970, 1002, 936, 787, 591, 389, 215, 92, 23, 0, 0, 7, 16, 20, 20, 19, 19, 19, 19, 19, 19, 19, 19, 20, 18, 12, 2, 0, 1, 33, 101, 207, 342, 484, 605, 680, 691, 636, 528, 391, 252, 136, 56, 11, 0, 0, 4, 8, 6, 1, 0, 0, 11, 44, 97, 168, 246, 316, 365, 381, 361, 310, 240, 165, 97, 46, 14, 0, 0, 0, 5, 7, 4, 0, 0, 2, 31, 88, 172, 272, 372, 451, 491, 482, 429, 344, 244, 150, 75, 26, 2, 0, 2, 10, 15, 17, 16, 13, 10, 8, 7, 8, 10, 12, 14, 15, 16, 15, 13, 11, 10, 9, 8, 9, 10, 11, 12, 12, 12, 12, 10, 9, 8, 9, 10, 11, 12, 11, 9, 6, 4, 4, 5, 6, 5, 0, 0, 1, 26, 79, 162, 269, 380, 473, 528, 529, 477, 387, 282, 191, 139, 142, 197, 291, 397, 485, 528, 514, 444, 339, 230, 154, 138, 198, 327, 497, 669, 801, 860, 833, 727, 567, 390, 229, 107, 33, 1, 0, 2, 10, 14, 14, 13, 13, 15, 16, 17, 16, 13, 10, 6, 4, 2, 1, 2, 2, 3, 4, 5, 6, 8, 10, 11, 13, 14, 15, 14, 13, 11, 8, 5, 3, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 9, 11, 13, 12, 10, 7, 4, 2, 1, 2, 3, 6, 8, 11, 13, 14, 15, 14, 12, 9, 4, 1, 0, 0, 0, 3, 4, 2, 0, 0, 10, 44, 103, 187, 285, 379, 448, 477, 458, 399, 316, 236, 183, 177, 222, 308, 413, 505, 557, 553, 491, 388, 275, 185, 148, 177, 267, 398, 534, 640, 690, 670, 587, 462, 321, 192, 93, 31, 2, 0, 3, 12, 18, 21, 21, 20, 19, 17, 15, 12, 8, 5, 2, 1, 0, 0, 0, 0, 2, 3, 4, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 1, 2, 4, 7, 9, 10, 10, 10, 8, 6, 4, 3, 2, 2, 2, 3, 4, 5, 6, 6, 7, 7, 7, 7, 6, 4, 2, 0, 0, 0, 1, 4, 5, 3, 0, 0, 11, 46, 109, 197, 297, 389, 451, 468, 435, 363, 273, 194, 151, 163, 230, 339, 461, 566, 627, 626, 566, 460, 332, 208, 108, 41, 7, 0, 0, 7, 13, 16, 15, 14, 13, 11, 9, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 7, 9, 11, 12, 12, 11, 9, 6, 4, 2, 1, 1, 1, 2, 4, 6, 7, 8, 8, 6, 4, 2, 0, 0, 0, 1, 3, 5, 6, 7, 8, 8, 7, 6, 4, 2, 0, 0, 2, 4, 6, 5, 1, 0, 0, 20, 68, 148, 255, 375, 487, 569, 604, 585, 515, 410, 291, 178, 88, 30, 2, 0, 1, 6, 5, 0, 0, 6, 40, 105, 197, 306, 411, 493, 534, 525, 469, 377, 271, 169, 87, 33, 6, 0, 0, 2, 3, 2, 1, 0, 1, 3, 5, 6, 6, 7, 7, 9, 11, 13, 14, 13, 11, 9, 7, 5, 4, 4, 5, 7, 9, 9, 7, 2, 0, 0, 16, 57, 126, 222, 332, 437, 517, 555, 543, 483, 388, 279, 175, 91, 36, 7, 0, 0, 2, 3, 2, 0, 0, 0, 1, 4, 8, 10, 13, 14, 15, 14, 14, 12, 10, 9, 9, 9, 11, 12, 12, 11, 9, 9, 10, 11, 10, 5, 0, 0, 12, 60, 148, 275, 428, 580, 701, 764, 756, 678, 553, 412, 293, 225, 223, 286, 395, 516, 618, 672, 664, 596, 484, 351, 222, 118, 47, 9, 0, 0, 5, 6, 1, 0, 0, 25, 81, 170, 284, 407, 518, 596, 624, 598, 524, 417, 299, 188, 100, 41, 10, 0, 2, 8, 14, 17, 17, 16, 14, 13, 12, 10, 8, 5, 3, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 12, 42, 95, 166, 246, 321, 376, 399, 385, 339, 269, 191, 119, 61, 23, 4, 0, 0, 3, 5, 5, 5, 4, 5, 5, 5, 5, 5, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 7, 10, 11, 12, 12, 10, 8, 6, 5, 6, 8, 11, 15, 16, 16, 14, 11, 9, 9, 7, 4, 0, 0, 6, 43, 119, 237, 390, 557, 710, 819, 861, 829, 731, 585, 422, 267, 142, 58, 12, 0, 0, 9, 18, 23, 23, 21, 18, 15, 12, 9, 7, 5, 3, 2, 1, 1, 3, 5, 7, 10, 13, 15, 17, 18, 18, 18, 17, 16, 14, 12, 9, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 9, 10, 10, 9, 7, 4, 2, 1, 0, 1, 2, 4, 4, 5, 4, 4, 4, 4, 6, 8, 10, 10, 9, 7, 5, 4, 3, 3, 2, 0, 0, 0, 15, 50, 109, 191, 286, 380, 454, 495, 493, 449, 373, 281, 188, 109, 52, 17, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 6, 8, 8, 8, 8, 7, 6, 6, 5, 5, 5, 3, 2, 0, 0, 1, 3, 4, 2, 0, 0, 6, 32, 84, 163, 262, 369, 464, 530, 553, 530, 466, 373, 268, 171, 92, 38, 9, 0, 0, 3, 6, 7, 7, 6, 5, 6, 8, 9, 10, 9, 8, 7, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 4, 5, 7, 8, 8, 7, 6, 5, 5, 6, 7, 8, 8, 7, 6, 4, 4, 4, 4, 5, 3, 0, 0, 1, 18, 53, 111, 190, 282, 374, 450, 496, 503, 470, 403, 315, 221, 136, 70, 27, 5, 0, 1, 6, 11, 12, 11, 9, 7, 5, 5, 5, 6, 7, 8, 9, 10, 9, 8, 7, 6, 5, 5, 6, 8, 10, 11, 12, 13, 13, 13, 13, 12, 10, 7, 4, 2, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 9, 12, 15, 16, 17, 15, 11, 5, 0, 0, 12, 46, 107, 197, 308, 427, 534, 607, 633, 606, 536, 444, 357, 304, 304, 362, 466, 590, 705, 780, 797, 751, 652, 519, 376, 244, 138, 64, 21, 2, 0, 3, 9, 15, 20, 23, 25, 26, 27, 27, 26, 25, 24, 22, 20, 19, 17, 17, 16, 15, 15, 13, 11, 9, 6, 4, 3, 3, 4, 5, 6, 6, 5, 4, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 3, 5, 7, 8, 6, 2, 0, 0, 15, 50, 111, 197, 301, 409, 503, 568, 591, 568, 505, 412, 307, 205, 120, 59, 21, 3, 0, 0, 1, 2, 3, 3, 4, 5, 7, 10, 12, 13, 14, 15, 15, 14, 14, 13, 12, 10, 7, 5, 3, 1, 1, 1, 1, 0, 0, 0, 11, 36, 80, 141, 216, 292, 358, 403, 418, 402, 357, 292, 219, 148, 87, 43, 16, 3, 0, 0, 0, 0, 0, 10, 35, 81, 147, 228, 314, 392, 448, 472, 460, 413, 340, 255, 171, 100, 48, 16, 2, 0, 0, 1, 1, 0, 0, 1, 4, 7, 9, 11, 11, 11, 11, 11, 11, 11, 10, 9, 8, 6, 5, 4, 4, 5, 7, 9, 10, 12, 12, 11, 10, 8, 7, 6, 5, 5, 5, 6, 7, 9, 10, 12, 13, 13, 12, 11, 9, 6, 5, 4, 3, 2, 0, 0, 0, 11, 36, 80, 144, 223, 309, 389, 449, 478, 471, 430, 362, 279, 194, 119, 62, 25, 6, 0, 0, 0, 0, 1, 2, 4, 7, 10, 12, 13, 13, 12, 11, 9, 5, 0, 0, 2, 27, 82, 173, 300, 452, 610, 751, 851, 891, 865, 776, 641, 483, 327, 194, 95, 34, 5, 0, 0, 4, 7, 8, 8, 8, 9, 10, 12, 13, 14, 14, 13, 11, 10, 9, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8, 7, 7, 6, 5, 4, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 4, 4, 2, 1, 0, 0, 0, 1, 2, 4, 5, 7, 8, 8, 8, 7, 6, 5, 4, 4, 4, 5, 6, 8, 8, 8, 8, 7, 6, 5, 5, 6, 7, 9, 10, 10, 10, 8, 6, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 4, 4, 4, 3, 1, 0, 0, 7, 27, 64, 118, 186, 260, 329, 382, 410, 409, 381, 337, 290, 254, 244, 265, 315, 383, 452, 504, 524, 506, 454, 382, 308, 252, 228, 242, 289, 357, 430, 488, 518, 511, 470, 404, 329, 264, 224, 220, 252, 311, 383, 449, 493, 503, 478, 422, 344, 259, 178, 112, 63, 34, 20, 15, 14, 15, 16, 23, 40, 73, 126, 197, 282, 370, 448, 504, 527, 513, 465, 390, 302, 213, 135, 75, 35, 14, 5, 4, 6, 8, 9, 9, 10, 10, 11, 12, 12, 11, 9, 6, 3, 0, 0, 2, 16, 44, 89, 149, 219, 291, 353, 395, 409, 394, 351, 290, 220, 152, 94, 50, 21, 6, 0, 0, 0, 0, 0, 0, 1, 3, 4, 6, 8, 9, 9, 10, 12, 13, 14, 15, 16, 15, 14, 12, 12, 11, 12, 13, 15, 15, 14, 10, 5, 0, 0, 11, 40, 92, 170, 269, 381, 490, 581, 639, 653, 623, 556, 468, 377, 304, 263, 260, 291, 343, 399, 440, 454, 434, 385, 315, 238, 165, 104, 61, 33, 17, 11, 9, 10, 12, 15, 18, 21, 24, 25, 25, 24, 23, 21, 19, 16, 12, 7, 5, 8, 24, 59, 118, 202, 308, 426, 540, 632, 688, 697, 658, 577, 468, 350, 238, 145, 76, 33, 9, 0, 0, 2, 5, 8, 10, 11, 11, 10, 8, 6, 4, 2, 0, 0, 2, 14, 39, 80, 136, 204, 276, 343, 392, 417, 413, 382, 328, 262, 193, 130, 80, 44, 22, 11, 8, 8, 9, 9, 9, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 8, 9, 9, 8, 8, 6, 5, 4, 4, 5, 6, 7, 7, 7, 7, 6, 6, 5, 5, 5, 5, 4, 3, 3, 2, 1, 0, 0, 0, 0, 8, 27, 59, 105, 164, 230, 293, 345, 377, 384, 364, 321, 263, 199, 137, 86, 48, 24, 11, 6, 5, 6, 7, 8, 8, 9, 9, 8, 8, 6, 4, 3, 1, 0, 0, 0, 5, 16, 38, 71, 117, 174, 235, 292, 336, 360, 359, 334, 289, 232, 171, 115, 69, 36, 15, 4, 0, 0, 0, 1, 2, 4, 5, 7, 8, 10, 10, 10, 10, 8, 7, 7, 12, 25, 49, 86, 137, 200, 268, 333, 387, 421, 428, 408, 365, 304, 236, 169, 111, 66, 35, 16, 6, 3, 3, 5, 8, 10, 12, 13, 13, 13, 14, 14, 14, 14, 14, 13, 13, 12, 12, 11, 11, 11, 12, 12, 13, 14, 14, 15, 15, 15, 15, 14, 14, 13, 13, 13, 13, 13, 13, 12, 9, 5, 1, 0, 4, 24, 64, 128, 218, 328, 449, 566, 662, 723, 738, 705, 630, 524, 403, 284, 181, 101, 47, 17, 4, 1, 3, 6, 8, 8, 8, 8, 9, 10, 12, 14, 15, 16, 16, 16, 14, 12, 9, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 3, 3, 4, 6, 8, 10, 12, 13, 14, 13, 12, 10, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 5, 7, 8, 9, 9, 9, 11, 18, 33, 59, 100, 154, 220, 291, 359, 412, 444, 448, 424, 376, 312, 241, 172, 113, 68, 37, 19, 11, 9, 10, 12, 14, 15, 15, 15, 15, 15, 14, 14, 14, 14, 14, 15, 15, 16, 16, 16, 16, 16, 15, 15, 15, 15, 15, 15, 15, 15, 14, 14, 13, 13, 12, 12, 13, 13, 12, 12, 11, 10, 9, 9, 10, 10, 11, 11, 12, 13, 13, 14, 15, 16, 16, 16, 15, 13, 10, 8, 5, 3, 1, 0, 0, 2, 8, 23, 50, 93, 151, 223, 301, 374, 432, 465, 468, 442, 392, 326, 254, 186, 126, 80, 47, 27, 16, 13, 14, 16, 19, 21, 22, 20, 18, 15, 11, 9, 7, 5, 4, 4, 6, 12, 27, 53, 92, 145, 208, 274, 334, 381, 406, 406, 381, 336, 278, 216, 157, 107, 68, 42, 26, 17, 15, 15, 16, 18, 18, 17, 15, 13, 10, 8, 6, 6, 5, 5, 5, 5, 6, 7, 8, 10, 12, 14, 15, 16, 18, 19, 21, 23, 25, 26, 25, 24, 22, 19, 18, 17, 18, 20, 23, 25, 26, 27, 26, 24, 22, 21, 20, 20, 20, 21, 21, 22, 23, 27, 36, 54, 83, 124, 176, 236, 296, 347, 382, 397, 391, 367, 336, 309, 295, 303, 332, 378, 432, 480, 512, 518, 499, 458, 407, 357, 319, 302, 307, 331, 366, 401, 426, 433, 418, 380, 326, 261, 195, 134, 86, 52, 31, 22, 21, 23, 25, 27, 28, 29, 29, 31, 32, 33, 32, 30, 26, 21, 17, 15, 20, 35, 63, 107, 169, 246, 333, 421, 499, 557, 586, 583, 547, 483, 402, 313, 227, 151, 91, 49, 22, 9, 4, 5, 8, 10, 12, 13, 13, 13, 14, 15, 17, 18, 19, 19, 19, 18, 17, 15, 14, 13, 12, 11, 11, 12, 13, 14, 14, 14, 13, 12, 10, 8, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 11, 28, 57, 99, 153, 217, 284, 346, 395, 424, 429, 407, 364, 304, 237, 171, 114, 70, 39, 21, 12, 8, 6, 5, 3, 1, 0, 0, 0, 0, 1, 2, 3, 4, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 5, 4, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 5, 6, 6, 6, 5, 5, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 6, 6, 6, 6, 5, 4, 3, 2, 2, 2, 3, 4, 5, 6, 7, 7, 6, 5, 4, 4, 5, 6, 7, 7, 7, 7, 9, 15, 26, 47, 78, 119, 171, 228, 286, 338, 378, 400, 401, 381, 342, 290, 232, 175, 123, 81, 50, 30, 18, 12, 10, 12, 18, 32, 57, 98, 156, 230, 316, 407, 491, 558, 599, 608, 584, 530, 455, 369, 281, 201, 135, 84, 50, 29, 18, 13, 13, 15, 17, 19, 20, 20, 19, 17, 15, 12, 10, 10, 13, 21, 36, 59, 93, 138, 194, 256, 319, 377, 422, 447, 449, 426, 383, 326, 262, 198, 142, 97, 63, 41, 27, 19, 15, 12, 11, 10, 10, 11, 12, 13, 14, 14, 14, 13, 12, 11, 10, 9, 8, 7, 7, 6, 5, 3, 2, 2, 2, 3, 7, 15, 30, 53, 86, 129, 180, 235, 287, 329, 356, 366, 358, 339, 314, 292, 282, 288, 312, 351, 397, 440, 469, 478, 463, 424, 367, 301, 234, 173, 121, 82, 53, 34, 22, 15, 12, 12, 14, 16, 18, 19, 18, 17, 15, 13, 12, 12, 11, 12, 15, 22, 35, 57, 92, 140, 202, 275, 352, 424, 482, 518, 525, 503, 455, 390, 316, 243, 177, 122, 79, 47, 25, 11, 3, 1, 1, 3, 6, 8, 9, 8, 7, 4, 1, 0, 0, 3, 13, 29, 55, 92, 139, 193, 250, 305, 350, 380, 391, 382, 355, 314, 264, 210, 157, 110, 70, 40, 18, 5, 0, 0, 7, 20, 39, 63, 93, 127, 164, 201, 234, 261, 277, 281, 274, 259, 241, 226, 222, 232, 256, 291, 331, 367, 391, 398, 385, 354, 308, 255, 200, 149, 104, 69, 42, 24, 12, 6, 3, 3, 4, 6, 7, 8, 8, 8, 8, 7, 6, 5, 3, 2, 1, 0, 1, 2, 3, 4, 4, 3, 2, 1, 0, 0, 0, 1, 3, 5, 8, 10, 11, 12, 13, 14, 14, 14, 14, 13, 12, 14, 20, 35, 59, 94, 140, 195, 255, 313, 365, 405, 428, 431, 414, 378, 327, 267, 204, 146, 96, 59, 33, 17, 9, 5, 3, 3, 3, 4, 5, 8, 10, 11, 11, 9, 7, 8, 14, 29, 55, 91, 135, 185, 237, 286, 327, 359, 378, 385, 379, 364, 345, 327, 318, 322, 342, 374, 412, 448, 473, 480, 465, 429, 376, 314, 249, 188, 136, 95, 64, 44, 31, 23, 19, 17, 16, 16, 16, 16, 17, 17, 18, 18, 17, 17, 16, 16, 16, 16, 16, 16, 15, 15, 15, 15, 17, 18, 19, 19, 19, 18, 16, 15, 14, 13, 13, 12, 11, 8, 6, 4, 4, 10, 22, 44, 75, 117, 165, 217, 268, 314, 350, 372, 378, 367, 340, 301, 252, 200, 149, 103, 67, 39, 20, 9, 3, 0, 0, 2, 3, 4, 5, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 6, 8, 11, 13, 15, 16, 17, 16, 15, 13, 10, 7, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 6, 9, 15, 24, 37, 56, 83, 117, 156, 198, 237, 269, 291, 301, 300, 291, 281, 274, 278, 294, 322, 357, 394, 422, 437, 435, 418, 390, 358, 331, 314, 309, 316, 332, 353, 373, 388, 396, 394, 383, 366, 346, 330, 322, 325, 341, 366, 397, 425, 445, 450, 438, 408, 363, 308, 250, 194, 144, 103, 72, 50, 36, 28, 24, 23, 23, 24, 24, 24, 22, 20, 16, 13, 11, 10, 12, 17, 28, 45, 69, 99, 136, 176, 219, 258, 291, 313, 322, 316, 296, 266, 228, 187, 147, 111, 81, 59, 42, 32, 26, 24, 24, 30, 42, 63, 98, 148, 213, 292, 379, 465, 542, 601, 635, 640, 617, 568, 501, 423, 341, 264, 196, 140, 97, 66, 45, 32, 24, 20, 19, 19, 20, 21, 22, 22, 21, 20, 19, 17, 16, 15, 14, 14, 15, 16, 17, 18, 18, 18, 17, 17, 17, 18, 20, 21, 21, 21, 21, 20, 20, 20, 21, 22, 23, 26, 31, 42, 59, 85, 119, 161, 208, 256, 302, 341, 370, 387, 387, 372, 342, 301, 252, 200, 152, 110, 76, 52, 36, 26, 21, 18, 17, 16, 14, 12, 10, 7, 5, 4, 3, 3, 4, 4, 5, 6, 7, 8, 9, 11, 12, 14, 15, 16, 17, 20, 25, 34, 48, 68, 93, 122, 155, 189, 222, 250, 273, 288, 296, 297, 294, 290, 287, 292, 306, 330, 364, 402, 438, 465, 476, 470, 448, 416, 381, 349, 326, 314, 311, 315, 323, 331, 338, 341, 339, 334, 328, 323, 324, 335, 355, 385, 419, 452, 477, 486, 477, 450, 406, 352, 293, 234, 180, 133, 94, 64, 41, 25, 17, 13, 13, 14, 15, 15, 13, 11, 8, 7, 6, 6, 6, 8, 9, 10, 11, 11, 11, 11, 10, 10, 10, 11, 13, 18, 25, 36, 51, 72, 99, 132, 170, 210, 250, 285, 311, 326, 329, 321, 306, 288, 271, 260, 256, 260, 270, 283, 295, 303, 303, 297, 286, 273, 263, 261, 268, 285, 309, 336, 362, 380, 387, 382, 362, 331, 290, 243, 195, 148, 107, 73, 47, 30, 20, 18, 23, 36, 57, 85, 121, 161, 202, 242, 276, 302, 318, 322, 314, 293, 262, 223, 181, 139, 100, 68, 44, 28, 18, 15, 17, 27, 44, 69, 102, 140, 181, 220, 256, 283, 301, 306, 300, 283, 256, 222, 184, 147, 112, 82, 58, 40, 28, 20, 15, 12, 10, 9, 7, 6, 5, 3, 2, 1, 0, 0, 0, 1, 5, 13, 26, 45, 69, 99, 133, 171, 207, 240, 266, 280, 282, 271, 248, 217, 183, 148, 115, 88, 66, 48, 34, 24, 17, 14, 17, 26, 45, 73, 114, 167, 232, 309, 395, 482, 564, 632, 678, 695, 683, 641, 577, 496, 409, 323, 244, 178, 124, 84, 55, 36, 24, 17, 13, 11, 10, 10, 9, 8, 7, 6, 4, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 4, 4, 5, 5, 6, 5, 5, 4, 3, 3, 3, 3, 4, 5, 6, 6, 5, 4, 3, 1, 1, 1, 2, 3, 4, 5, 6, 7, 7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 3, 3, 4, 4, 4, 3, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 3, 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, 2, 3, 4, 5, 4, 4, 3, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 4, 3, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 4, 9, 17, 29, 46, 68, 94, 124, 159, 195, 232, 265, 292, 309, 312, 302, 280, 249, 212, 173, 137, 105, 78, 55, 38, 24, 13, 6, 2, 1, 1, 2, 3, 5, 6, 7, 7, 7, 7, 6, 7, 7, 9, 11, 12, 14, 15, 15, 16, 17, 18, 19, 22, 26, 32, 43, 58, 80, 107, 140, 176, 215, 254, 292, 324, 348, 360, 359, 343, 315, 278, 236, 193, 155, 121, 93, 71, 54, 41, 31, 24, 19, 17, 16, 17, 18, 19, 19, 18, 16, 14, 12, 10, 9, 8, 8, 8, 9, 9, 10, 10, 11, 10, 10, 9, 8, 7, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 6, 11, 19, 32, 49, 72, 99, 131, 166, 202, 237, 267, 289, 302, 304, 295, 276, 249, 216, 182, 147, 116, 89, 67, 50, 37, 28, 21, 15, 11, 8, 6, 6, 6, 7, 8, 9, 9, 9, 9, 9, 8, 8, 8, 8, 9, 9, 8, 7, 6, 5, 4, 3, 3, 4, 5, 6, 7, 7, 6, 5, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 4, 5, 7, 12, 20, 32, 47, 68, 94, 123, 155, 187, 216, 240, 255, 261, 258, 247, 230, 208, 184, 158, 133, 108, 85, 65, 51, 43, 43, 52, 70, 95, 127, 163, 202, 242, 280, 313, 339, 355, 358, 348, 327, 296, 260, 220, 181, 144, 111, 82, 58, 40, 26, 17, 11, 9, 9, 10, 12, 15, 16, 18, 19, 21, 24, 29, 37, 50, 67, 88, 114, 143, 175, 209, 243, 274, 300, 320, 330, 330, 320, 299, 270, 234, 195, 156, 120, 88, 63, 44, 31, 23, 18, 14, 12, 11, 10, 9, 10, 10, 11, 11, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 12, 12, 12, 12, 12, 12, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 3, 3, 3, 2, 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, 0, 0, 0, 0, 1, 3, 5, 7, 8, 9, 9, 8, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6, 8, 10, 12, 13, 14, 14, 14, 16, 19, 24, 33, 46, 64, 89, 119, 156, 199, 243, 288, 330, 364, 389, 400, 399, 384, 357, 321, 280, 236, 194, 154, 120, 92, 69, 52, 39, 30, 23, 19, 16, 14, 13, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 10, 9, 9, 8, 9, 10, 11, 12, 13, 13, 12, 11, 11, 11, 12, 14, 16, 18, 21, 26, 34, 46, 64, 90, 124, 165, 213, 266, 322, 378, 431, 476, 508, 525, 524, 506, 471, 425, 372, 315, 260, 210, 165, 127, 96, 73, 55, 44, 36, 31, 28, 26, 25, 24, 24, 26, 28, 33, 41, 54, 72, 97, 126, 160, 195, 229, 262, 292, 317, 337, 350, 354, 348, 331, 304, 271, 233, 196, 161, 129, 103, 82, 68, 60, 59, 65, 78, 95, 115, 137, 157, 177, 196, 214, 231, 246, 257, 265, 269, 270, 270, 273, 281, 293, 310, 327, 340, 346, 341, 327, 305, 278, 248, 216, 185, 153, 123, 95, 71, 51, 37, 29, 24, 22, 20, 18, 16, 14, 12, 12, 13, 15, 17, 19, 21, 24, 28, 35, 48, 65, 89, 118, 152, 190, 229, 267, 304, 336, 363, 381, 388, 384, 369, 341, 305, 263, 219, 177, 140, 109, 85, 67, 53, 42, 34, 27, 21, 16, 13, 10, 9, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 9, 10, 11, 11, 10, 9, 8, 7, 7, 8, 9, 11, 13, 16, 19, 23, 28, 37, 48, 65, 86, 111, 139, 169, 200, 229, 257, 281, 300, 313, 318, 313, 300, 277, 249, 217, 183, 151, 122, 98, 79, 66, 61, 64, 75, 93, 117, 144, 174, 204, 233, 259, 281, 297, 305, 305, 296, 279, 254, 225, 193, 161, 130, 101, 76, 56, 40, 28, 20, 15, 11, 10, 9, 9, 9, 11, 12, 13, 13, 13, 12, 12, 12, 12, 13, 13, 13, 13, 13, 14, 16, 19, 22, 27, 31, 37, 45, 57, 73, 95, 122, 152, 184, 216, 245, 270, 289, 303, 311, 310, 301, 284, 258, 228, 195, 162, 132, 107, 87, 73, 64, 59, 59, 64, 73, 87, 106, 129, 154, 179, 203, 223, 238, 245, 244, 236, 221, 201, 179, 155, 132, 109, 88, 68, 51, 37, 25, 16, 10, 6, 4, 3, 4, 5, 6, 6, 6, 5, 4, 3, 2, 3, 3, 4, 5, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 6, 7, 8, 8, 8, 7, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 6, 6, 7, 6, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 7, 13, 23, 35, 52, 72, 95, 121, 148, 174, 198, 219, 234, 244, 247, 245, 236, 222, 203, 180, 155, 130, 105, 82, 62, 44, 30, 18, 10, 5, 3, 2, 3, 3, 3, 3, 4, 5, 8, 13, 22, 33, 48, 66, 87, 111, 136, 162, 186, 207, 225, 238, 250, 259, 268, 276, 283, 288, 291, 291, 290, 290, 290, 292, 294, 295, 291, 281, 264, 242, 215, 187, 159, 133, 110, 89, 69, 52, 37, 25, 17, 13, 12, 12, 13, 13, 12, 11, 9, 9, 11, 16, 22, 31, 41, 53, 68, 87, 111, 140, 175, 213, 254, 293, 329, 357, 378, 388, 389, 381, 365, 341, 310, 276, 238, 199, 162, 127, 96, 71, 52, 38, 29, 22, 18, 14, 10, 7, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 5, 4, 4, 4, 5, 8, 11, 14, 19, 26, 36, 50, 69, 93, 121, 154, 191, 233, 278, 327, 376, 421, 457, 481, 490, 484, 466, 438, 404, 366, 324, 281, 236, 192, 151, 115, 84, 62, 46, 36, 30, 26, 24, 21, 20, 19, 21, 25, 32, 41, 52, 67, 84, 104, 129, 157, 188, 221, 251, 278, 299, 312, 319, 318, 311, 298, 279, 256, 228, 197, 166, 137, 110, 89, 73, 63, 60, 62, 69, 79, 92, 106, 121, 136, 151, 166, 181, 194, 203, 207, 204, 196, 182, 165, 147, 128, 112, 97, 85, 76, 70, 68, 70, 75, 85, 99, 116, 137, 159, 183, 205, 225, 242, 255, 264, 268, 268, 262, 251, 234, 213, 188, 162, 137, 113, 92, 74, 58, 45, 34, 25, 19, 15, 12, 12, 11, 11, 11, 10, 9, 8, 7, 7, 8, 8, 9, 9, 9, 9, 10, 11, 12, 14, 15, 17, 19, 22, 27, 36, 47, 62, 79, 100, 123, 148, 175, 203, 232, 260, 286, 307, 322, 330, 329, 320, 303, 280, 252, 223, 193, 165, 139, 115, 93, 74, 57, 43, 32, 25, 20, 17, 16, 14, 11, 9, 7, 5, 5, 5, 5, 6, 6, 5, 4, 3, 3, 3, 4, 5, 7, 8, 9, 9, 8, 6, 5, 4, 4, 4, 4, 5, 5, 4, 4, 3, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 4, 4, 3, 2, 1, 0, 0, 1, 2, 3, 4, 4, 4, 4, 4, 5, 6, 9, 12, 16, 21, 29, 40, 53, 70, 90, 111, 134, 157, 180, 201, 221, 238, 252, 261, 265, 262, 251, 233, 210, 183, 156, 129, 106, 85, 67, 52, 40, 29, 21, 14, 10, 8, 7, 8, 9, 11, 15, 20, 26, 35, 46, 60, 76, 95, 116, 138, 162, 185, 207, 226, 241, 252, 259, 264, 269, 273, 279, 287, 295, 303, 311, 318, 324, 327, 329, 329, 328, 326, 324, 324, 326, 331, 338, 347, 355, 361, 365, 367, 367, 364, 360, 355, 349, 343, 337, 333, 331, 330, 330, 329, 325, 317, 306, 293, 278, 261, 244, 225, 203, 180, 156, 133, 114, 100, 92, 89, 90, 95, 103, 113, 126, 142, 160, 180, 200, 220, 238, 252, 264, 274, 281, 287, 292, 297, 302, 306, 309, 312, 315, 318, 321, 326, 330, 335, 340, 345, 348, 351, 353, 354, 356, 359, 363, 368, 372, 374, 371, 363, 347, 324, 296, 264, 231, 199, 169, 142, 119, 99, 83, 68, 55, 45, 36, 30, 27, 25, 25, 25, 27, 29, 32, 36, 42, 50, 60, 73, 90, 109, 130, 152, 174, 193, 211, 225, 237, 247, 253, 256, 254, 246, 231, 212, 189, 164, 140, 118, 98, 82, 68, 56, 45, 37, 29, 24, 19, 16, 14, 13, 11, 10, 10, 10, 11, 11, 12, 11, 11, 10, 10, 9, 10, 10, 10, 10, 9, 8, 7, 7, 7, 8, 9, 11, 13, 14, 15, 15, 15, 16, 20, 26, 36, 48, 62, 76, 91, 106, 124, 144, 167, 193, 218, 240, 257, 268, 271, 269, 262, 252, 239, 222, 202, 180, 157, 136, 118, 106, 99, 98, 100, 106, 116, 128, 143, 162, 182, 203, 222, 238, 249, 255, 256, 251, 242, 229, 213, 196, 177, 159, 140, 124, 108, 95, 85, 78, 77, 80, 88, 100, 114, 130, 145, 160, 174, 186, 196, 204, 208, 207, 201, 190, 176, 160, 142, 125, 109, 93, 78, 63, 50, 38, 29, 22, 18, 15, 14, 13, 12, 11, 10, 10, 11, 13, 17, 22, 29, 37, 47, 59, 74, 91, 111, 132, 153, 173, 192, 209, 224, 235, 241, 242, 236, 225, 210, 192, 173, 154, 135, 115, 96, 78, 60, 46, 34, 25, 20, 16, 13, 10, 8, 6, 6, 6, 6, 6, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 9, 14, 19, 25, 31, 38, 48, 60, 75, 93, 113, 135, 158, 181, 204, 225, 242, 254, 261, 263, 262, 257, 249, 238, 224, 206, 185, 163, 141, 121, 106, 95, 88, 86, 88, 94, 105, 119, 136, 154, 172, 190, 205, 220, 233, 246, 257, 268, 276, 283, 288, 293, 297, 300, 304, 308, 311, 315, 318, 322, 325, 329, 332, 334, 335, 338, 341, 346, 354, 362, 370, 376, 379, 379, 377, 373, 369, 365, 362, 361, 359, 358, 356, 353, 347, 339, 328, 314, 297, 277, 254, 230, 205, 180, 155, 132, 111, 93, 76, 62, 50, 41, 33, 28, 23, 20, 16, 12, 9, 6, 4, 3, 4, 5, 6, 6, 6, 5, 4, 3, 2, 2, 3, 5, 6, 8, 9, 10, 11, 11, 11, 10, 9, 7, 6, 6, 7, 8, 10, 11, 12, 12, 11, 11, 10, 10, 11, 11, 12, 14, 16, 19, 24, 30, 38, 47, 58, 70, 85, 101, 118, 136, 154, 171, 187, 203, 219, 235, 252, 267, 280, 292, 300, 306, 309, 310, 309, 307, 303, 298, 293, 288, 281, 271, 259, 242, 222, 198, 174, 150, 128, 108, 91, 77, 64, 54, 45, 39, 34, 30, 27, 25, 23, 23, 25, 30, 37, 47, 58, 71, 85, 100, 117, 135, 155, 175, 196, 217, 235, 251, 263, 270, 272, 269, 263, 253, 241, 226, 209, 189, 167, 145, 123, 103, 86, 72, 60, 51, 42, 35, 29, 25, 23, 23, 24, 27, 30, 34, 38, 44, 52, 63, 76, 92, 109, 127, 144, 162, 178, 194, 209, 221, 231, 236, 237, 232, 224, 212, 199, 184, 170, 155, 139, 123, 106, 90, 74, 60, 49, 40, 34, 29, 25, 23, 20, 18, 17, 16, 15, 13, 12, 10, 8, 7, 6, 6, 5, 5, 4, 3, 3, 2, 3, 3, 4, 5, 6, 6, 5, 5, 4, 3, 2, 2, 2, 3, 4, 5, 6, 7, 7, 6, 5, 3, 1, 1, 0, 1, 1, 2, 2, 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, 1, 5, 11, 19, 30, 42, 55, 69, 83, 98, 114, 129, 144, 157, 167, 175, 181, 183, 184, 183, 180, 175, 166, 155, 141, 126, 111, 100, 91, 86, 83, 83, 84, 87, 92, 98, 106, 115, 124, 132, 138, 143, 147, 149, 150, 150, 147, 142, 133, 123, 111, 99, 89, 80, 74, 69, 67, 67, 70, 76, 84, 94, 105, 117, 130, 141, 152, 161, 168, 171, 172, 170, 167, 163, 158, 152, 145, 136, 125, 112, 99, 85, 73, 62, 52, 42, 33, 25, 19, 15, 13, 12, 12, 12, 11, 10, 10, 12, 17, 25, 35, 46, 57, 69, 82, 98, 118, 140, 165, 191, 217, 242, 266, 289, 311, 331, 348, 361, 370, 374, 375, 373, 369, 364, 358, 352, 346, 339, 330, 321, 309, 296, 281, 264, 247, 228, 211, 194, 180, 168, 159, 153, 151, 153, 159, 170, 185, 203, 223, 245, 268, 293, 319, 347, 374, 400, 421, 435, 442, 442, 435, 423, 407, 386, 362, 335, 304, 271, 238, 206, 177, 151, 129, 110, 93, 78, 65, 53, 42, 33, 25, 20, 16, 13, 11, 9, 7, 6, 5, 4, 3, 3, 3, 3, 3, 4, 5, 6, 7, 6, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 8, 12, 16, 22, 29, 37, 46, 56, 67, 78, 90, 102, 115, 129, 143, 158, 174, 189, 204, 218, 231, 242, 253, 263, 273, 282, 292, 301, 309, 317, 325, 331, 336, 341, 345, 348, 352, 355, 359, 362, 365, 368, 370, 371, 372, 374, 376, 380, 384, 389, 393, 396, 397, 397, 395, 393, 390, 386, 381, 375, 366, 355, 341, 325, 305, 283, 258, 232, 205, 180, 156, 136, 118, 102, 89, 76, 64, 53, 44, 36, 30, 26, 23, 21, 19, 18, 16, 15, 14, 12, 11, 9, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 7, 7, 7, 7, 6, 5, 5, 5, 5, 6, 6, 7, 9, 9, 10, 10, 9, 9, 8, 8, 8, 9, 10, 11, 12, 12, 11, 10, 9, 9, 10, 11, 13, 16, 18, 21, 24, 27, 30, 35, 41, 50, 60, 74, 90, 109, 129, 150, 171, 190, 207, 222, 234, 244, 253, 260, 264, 265, 263, 256, 244, 230, 213, 196, 179, 164, 151, 140, 130, 120, 110, 101, 92, 84, 78, 74, 72, 71, 71, 71, 72, 72, 73, 75, 78, 82, 88, 95, 105, 116, 128, 139, 151, 160, 167, 172, 175, 178, 181, 186, 192, 198, 202, 203, 200, 194, 186, 177, 169, 163, 158, 152, 146, 138, 130, 122, 114, 107, 100, 92, 86, 81, 77, 74, 73, 73, 72, 72, 72, 73, 76, 81, 90, 100, 113, 126, 140, 154, 166, 177, 186, 194, 200, 206, 210, 212, 211, 207, 200, 190, 179, 169, 159, 149, 139, 129, 118, 105, 94, 83, 74, 66, 59, 53, 46, 40, 34, 31, 29, 28, 27, 27, 27, 27, 28, 31, 34, 37, 40, 43, 45, 47, 49, 53, 58, 66, 76, 92, 115, 146, 187, 240, 305, 381, 468, 565, 670, 776, 874, 951, 994, 991, 938, 842, 714, 575, 444, 336, 258, 210, 186, 176, 173, 171, 169, 167, 165, 165, 165, 166, 167, 167, 166, 165, 163, 161, 160, 160, 160, 161, 163, 165, 166, 167, 167, 166, 164, 162, 160, 158, 157, 156, 156, 157, 157, 157, 156, 155, 152, 150, 149, 149, 150, 152, 154, 154, 153, 150, 147, 143, 141, 140, 141, 143, 145, 147, 147, 147, 145, 144, 143, 143, 144, 144, 145, 144, 143, 141, 140, 139, 138, 138, 138, 137, 136, 135, 134, 134, 134, 136, 138, 139, 139, 137, 134, 132, 130, 129, 129, 130, 131, 131, 130, 129, 127, 126, 126, 126, 126, 126, 126, 124, 122, 120, 118, 116, 114, 113, 112, 112, 112, 113, 113, 113, 112, 111, 110, 109, 107, 105, 103, 99, 95, 91, 88, 86, 86, 87, 89, 91, 91, 91, 89, 86, 83, 80, 78, 77, 76, 76, 76, 77, 77, 78, 77, 76, 75, 73, 71, 70, 70, 70, 70, 70, 70, 70, 70, 69, 69, 69, 69, 69, 68, 67, 65, 64, 63, 62, 63, 66, 69, 72, 74, 77, 80, 85, 92, 104, 119, 136, 155, 172, 188, 203, 215, 228, 240, 252, 265, 276, 285, 290, 293, 294, 294, 295, 297, 300, 301, 301, 298, 293, 288, 285, 283, 283, 284, 284, 282, 279, 275, 271, 269, 269, 269, 270, 271, 272, 272, 271, 271, 269, 268, 266, 264, 263, 263, 263, 262, 261, 257, 252, 248, 244, 243, 245, 248, 251, 252, 250, 247, 243, 240, 241, 244, 249, 254, 257, 256, 253, 249, 245, 243, 243, 244, 246, 247, 246, 244, 242, 240, 238, 238, 239, 239, 239, 238, 236, 233, 230, 227, 226, 226, 227, 229, 231, 232, 232, 231, 230, 228, 226, 225, 225, 224, 224, 224, 223, 222, 222, 222, 224, 225, 227, 229, 230, 230, 230, 231, 232, 234, 236, 240, 244, 249, 255, 262, 268, 275, 280, 286, 291, 296, 302, 309, 315, 319, 320, 318, 314, 309, 303, 298, 293, 288, 282, 275, 265, 255, 243, 231, 219, 206, 193, 179, 165, 151, 136, 122, 109, 97, 86, 75, 65, 55, 47, 39, 32, 27, 23, 19, 17, 14, 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, 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],
"peakC": [0, 0, 0, 0, 0, 1, 3, 4, 6, 8, 10, 14, 18, 23, 30, 36, 44, 52, 62, 72, 83, 95, 108, 122, 134, 146, 156, 164, 171, 177, 181, 185, 187, 187, 184, 178, 170, 159, 148, 135, 123, 111, 99, 87, 74, 63, 52, 42, 34, 27, 22, 18, 15, 13, 11, 9, 7, 5, 4, 2, 2, 2, 2, 3, 3, 3, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 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, 1, 3, 6, 10, 16, 25, 36, 49, 66, 87, 111, 137, 166, 196, 225, 252, 276, 294, 306, 309, 305, 293, 274, 250, 222, 192, 162, 133, 106, 82, 62, 45, 33, 24, 18, 14, 11, 9, 8, 7, 7, 6, 6, 6, 6, 6, 6, 7, 8, 8, 9, 10, 10, 10, 10, 9, 8, 8, 7, 6, 6, 5, 5, 4, 4, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 7, 19, 38, 66, 101, 142, 187, 231, 272, 306, 330, 340, 336, 318, 287, 247, 202, 156, 113, 77, 50, 30, 17, 10, 6, 5, 4, 4, 5, 5, 7, 8, 9, 10, 10, 10, 10, 9, 8, 8, 8, 8, 8, 8, 8, 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, 1, 2, 3, 5, 6, 6, 5, 4, 3, 2, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 10, 31, 67, 119, 184, 257, 331, 397, 446, 472, 470, 442, 391, 325, 252, 182, 120, 71, 37, 16, 6, 3, 4, 5, 5, 5, 4, 2, 2, 1, 0, 0, 0, 5, 23, 59, 119, 202, 306, 419, 530, 623, 685, 708, 689, 630, 540, 432, 319, 215, 130, 68, 27, 6, 0, 0, 7, 29, 66, 123, 198, 287, 381, 466, 532, 568, 569, 534, 471, 388, 297, 211, 136, 80, 41, 19, 8, 5, 6, 8, 11, 13, 15, 17, 17, 17, 16, 14, 12, 10, 8, 7, 6, 5, 4, 3, 2, 2, 3, 3, 4, 3, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 13, 42, 92, 164, 253, 349, 439, 507, 544, 542, 503, 437, 358, 286, 237, 223, 247, 304, 381, 460, 524, 558, 554, 513, 443, 355, 263, 179, 111, 62, 32, 16, 11, 11, 13, 15, 17, 18, 18, 19, 18, 17, 17, 15, 14, 13, 12, 12, 12, 11, 11, 10, 9, 8, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 10, 41, 99, 184, 289, 401, 501, 572, 603, 588, 530, 442, 337, 233, 143, 75, 31, 7, 0, 0, 2, 5, 8, 10, 12, 13, 14, 14, 13, 11, 8, 6, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 4, 5, 5, 5, 5, 4, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 4, 4, 3, 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, 1, 2, 3, 2, 1, 0, 0, 0, 1, 4, 4, 1, 0, 0, 14, 57, 130, 233, 351, 466, 556, 603, 597, 541, 448, 335, 223, 128, 60, 19, 1, 0, 1, 5, 9, 11, 12, 13, 14, 15, 14, 12, 9, 7, 5, 4, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 2, 0, 0, 0, 0, 3, 6, 5, 0, 0, 0, 33, 108, 229, 389, 566, 728, 844, 889, 854, 748, 594, 422, 263, 136, 53, 10, 0, 0, 5, 9, 10, 10, 10, 12, 15, 18, 19, 17, 13, 7, 1, 0, 0, 1, 5, 6, 2, 0, 0, 17, 70, 165, 296, 448, 592, 701, 750, 729, 645, 515, 367, 228, 117, 45, 8, 0, 0, 5, 9, 10, 9, 9, 10, 12, 14, 14, 13, 11, 9, 8, 8, 7, 7, 6, 5, 4, 2, 1, 0, 0, 0, 0, 1, 2, 2, 3, 3, 3, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 3, 1, 0, 0, 0, 2, 7, 8, 3, 0, 0, 22, 90, 211, 376, 564, 739, 864, 910, 867, 747, 577, 394, 231, 108, 33, 0, 0, 0, 8, 12, 10, 2, 0, 0, 21, 91, 210, 374, 561, 737, 863, 911, 870, 751, 580, 396, 232, 110, 36, 2, 0, 0, 3, 7, 8, 8, 3, 0, 0, 6, 53, 148, 295, 480, 673, 835, 929, 935, 850, 697, 509, 324, 173, 71, 15, 0, 0, 2, 8, 11, 9, 3, 0, 0, 14, 68, 167, 310, 480, 646, 771, 824, 791, 680, 521, 357, 234, 185, 223, 335, 488, 636, 737, 760, 702, 579, 431, 302, 234, 247, 340, 484, 639, 760, 812, 782, 678, 526, 359, 210, 99, 32, 2, 0, 3, 10, 13, 12, 11, 11, 13, 15, 16, 15, 13, 10, 7, 6, 6, 6, 6, 4, 1, 0, 0, 0, 5, 9, 6, 0, 0, 5, 52, 146, 285, 452, 617, 742, 800, 775, 676, 525, 357, 204, 90, 22, 0, 0, 8, 14, 9, 0, 0, 19, 88, 208, 369, 546, 703, 804, 821, 750, 604, 421, 244, 118, 75, 125, 257, 438, 624, 769, 840, 824, 726, 572, 399, 239, 116, 39, 3, 0, 1, 8, 12, 12, 11, 11, 13, 15, 16, 16, 13, 10, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 3, 1, 0, 0, 0, 1, 8, 11, 8, 0, 0, 10, 67, 177, 337, 524, 701, 825, 862, 802, 658, 467, 282, 152, 112, 176, 325, 521, 712, 848, 897, 847, 716, 535, 348, 188, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 76, 16, 0, 0, 10, 18, 20, 18, 16, 14, 14, 15, 14, 12, 9, 6, 4, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 5, 7, 8, 9, 9, 8, 6, 5, 3, 2, 2, 2, 3, 4, 5, 5, 5, 3, 2, 1, 0, 0, 0, 0, 1, 3, 4, 3, 1, 0, 0, 0, 2, 8, 11, 8, 0, 0, 9, 64, 168, 319, 492, 651, 755, 774, 700, 552, 370, 208, 115, 120, 226, 408, 620, 805, 916, 927, 838, 673, 475, 286, 138, 45, 2, 0, 3, 12, 16, 14, 11, 11, 13, 17, 19, 18, 12, 4, 0, 0, 0, 6, 10, 6, 0, 0, 9, 62, 162, 304, 467, 615, 713, 738, 683, 564, 410, 255, 128, 43, 0, 0, 0, 11, 18, 14, 2, 0, 0, 30, 112, 244, 409, 579, 716, 786, 771, 676, 527, 357, 203, 87, 19, 0, 0, 7, 17, 17, 7, 0, 0, 20, 96, 224, 395, 578, 734, 826, 831, 747, 597, 417, 247, 115, 35, 1, 0, 5, 11, 12, 10, 8, 9, 10, 6, 0, 0, 12, 70, 179, 337, 521, 693, 812, 844, 779, 630, 433, 240, 96, 39, 80, 206, 384, 567, 708, 775, 754, 654, 503, 338, 190, 83, 21, 0, 0, 8, 16, 18, 16, 12, 10, 10, 11, 12, 12, 11, 9, 8, 7, 7, 7, 8, 8, 9, 9, 8, 8, 7, 7, 7, 8, 9, 9, 10, 9, 9, 8, 6, 4, 3, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 3, 1, 0, 0, 0, 2, 8, 12, 8, 0, 0, 7, 60, 164, 315, 490, 651, 758, 780, 708, 558, 368, 188, 66, 35, 103, 256, 455, 649, 789, 839, 786, 643, 449, 256, 118, 72, 133, 283, 481, 674, 811, 857, 804, 669, 488, 305, 154, 54, 5, 0, 3, 16, 24, 24, 20, 17, 15, 17, 21, 24, 27, 27, 25, 20, 13, 6, 2, 2, 5, 9, 8, 2, 0, 0, 25, 92, 199, 334, 471, 578, 627, 606, 520, 392, 254, 132, 46, 1, 0, 0, 13, 22, 19, 4, 0, 0, 38, 142, 307, 511, 713, 866, 928, 884, 747, 553, 349, 179, 65, 7, 0, 0, 6, 12, 13, 13, 11, 6, 0, 0, 3, 55, 161, 320, 510, 692, 823, 867, 813, 676, 493, 305, 150, 47, 0, 0, 1, 16, 22, 16, 1, 0, 0, 47, 146, 295, 473, 644, 767, 808, 752, 609, 415, 220, 76, 21, 70, 211, 409, 611, 766, 836, 808, 691, 521, 339, 181, 72, 15, 0, 0, 6, 8, 6, 4, 4, 5, 4, 0, 0, 1, 36, 112, 226, 364, 494, 584, 610, 564, 460, 325, 194, 90, 25, 0, 0, 3, 10, 12, 9, 6, 5, 7, 9, 11, 11, 10, 7, 4, 3, 2, 2, 2, 2, 3, 3, 3, 4, 4, 5, 5, 4, 4, 4, 4, 6, 9, 13, 17, 20, 21, 20, 18, 14, 11, 8, 6, 5, 5, 7, 8, 9, 10, 10, 8, 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, 2, 4, 5, 4, 0, 0, 0, 0, 7, 15, 16, 7, 0, 0, 29, 131, 303, 526, 755, 935, 1017, 979, 831, 615, 386, 192, 63, 1, 0, 1, 17, 23, 20, 12, 6, 6, 12, 19, 25, 28, 28, 26, 22, 18, 14, 11, 9, 8, 8, 8, 9, 10, 10, 9, 8, 6, 5, 4, 4, 4, 5, 6, 7, 8, 8, 7, 6, 5, 4, 4, 4, 3, 3, 3, 4, 6, 9, 11, 12, 10, 6, 0, 0, 0, 3, 11, 14, 8, 0, 0, 13, 81, 206, 375, 556, 706, 785, 770, 666, 503, 323, 166, 58, 4, 0, 0, 11, 16, 14, 9, 8, 12, 16, 18, 14, 7, 0, 2, 10, 21, 23, 10, 0, 0, 36, 170, 396, 690, 991, 1226, 1330, 1273, 1073, 786, 486, 236, 73, 0, 0, 3, 22, 27, 21, 9, 1, 0, 4, 10, 14, 15, 14, 11, 8, 6, 4, 3, 2, 1, 1, 2, 4, 5, 6, 5, 4, 2, 1, 1, 3, 5, 6, 5, 3, 0, 0, 0, 2, 9, 13, 9, 0, 0, 9, 70, 186, 350, 536, 701, 801, 803, 703, 523, 308, 116, 0, 0, 102, 303, 547, 772, 923, 965, 892, 728, 518, 312, 147, 42, 0, 0, 4, 20, 27, 20, 2, 0, 0, 39, 147, 314, 515, 710, 849, 895, 835, 686, 489, 293, 136, 38, 0, 0, 8, 21, 26, 23, 16, 11, 9, 11, 14, 18, 20, 21, 20, 20, 19, 17, 16, 13, 11, 9, 8, 7, 6, 6, 5, 4, 3, 2, 1, 1, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 4, 3, 3, 5, 8, 12, 15, 16, 12, 7, 2, 1, 4, 11, 14, 11, 0, 0, 6, 62, 171, 327, 503, 656, 742, 732, 623, 444, 249, 99, 48, 116, 292, 528, 760, 923, 973, 902, 734, 516, 304, 138, 37, 0, 0, 9, 21, 23, 17, 8, 3, 5, 11, 20, 26, 27, 22, 14, 5, 1, 5, 13, 18, 14, 0, 0, 0, 63, 196, 392, 619, 825, 955, 973, 873, 685, 460, 251, 98, 15, 0, 0, 15, 25, 24, 15, 6, 2, 3, 9, 15, 20, 21, 21, 19, 16, 13, 11, 9, 8, 7, 6, 6, 6, 7, 7, 8, 9, 10, 9, 9, 7, 5, 4, 3, 3, 3, 2, 1, 0, 0, 0, 2, 5, 8, 8, 6, 1, 0, 0, 6, 15, 18, 10, 0, 0, 11, 88, 227, 415, 614, 775, 854, 827, 704, 520, 324, 159, 50, 0, 0, 2, 14, 18, 13, 5, 0, 0, 0, 2, 4, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 10, 13, 13, 10, 5, 0, 0, 1, 9, 14, 12, 1, 0, 0, 43, 143, 294, 472, 635, 740, 757, 681, 534, 358, 195, 76, 11, 0, 0, 9, 14, 12, 4, 0, 0, 0, 3, 6, 8, 7, 5, 3, 1, 0, 0, 1, 3, 6, 8, 8, 5, 1, 0, 0, 1, 9, 15, 13, 2, 0, 0, 50, 158, 322, 515, 695, 813, 831, 739, 561, 341, 140, 11, 0, 72, 243, 452, 645, 772, 804, 736, 592, 413, 241, 108, 29, 0, 0, 6, 13, 13, 7, 1, 0, 1, 5, 8, 10, 9, 7, 5, 4, 3, 2, 2, 1, 1, 2, 3, 4, 3, 1, 0, 0, 0, 4, 12, 15, 9, 0, 0, 7, 68, 182, 337, 503, 638, 705, 685, 583, 431, 268, 131, 40, 0, 0, 2, 12, 15, 10, 3, 0, 0, 0, 4, 7, 7, 6, 4, 3, 3, 5, 9, 13, 17, 20, 22, 22, 20, 18, 15, 12, 10, 8, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 5, 4, 3, 2, 1, 1, 2, 3, 4, 5, 6, 7, 7, 6, 6, 5, 4, 3, 3, 3, 4, 5, 6, 7, 6, 5, 5, 5, 8, 13, 18, 20, 19, 13, 6, 3, 4, 11, 17, 16, 5, 0, 0, 34, 135, 295, 492, 681, 813, 849, 779, 625, 430, 243, 101, 20, 0, 0, 9, 17, 15, 7, 0, 0, 0, 3, 9, 12, 11, 7, 1, 0, 0, 1, 8, 13, 11, 0, 0, 0, 41, 132, 266, 419, 554, 635, 638, 562, 432, 283, 151, 57, 7, 0, 0, 2, 9, 14, 13, 7, 0, 0, 0, 44, 140, 284, 450, 602, 698, 709, 633, 492, 325, 173, 63, 6, 0, 0, 12, 20, 20, 14, 9, 7, 9, 12, 14, 15, 13, 11, 9, 7, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 1, 3, 4, 3, 0, 0, 0, 0, 5, 12, 13, 5, 0, 0, 18, 87, 204, 355, 507, 620, 661, 620, 507, 357, 207, 90, 20, 0, 0, 5, 12, 12, 6, 0, 0, 0, 0, 2, 3, 3, 2, 2, 2, 2, 3, 4, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 1, 3, 4, 5, 6, 5, 4, 4, 3, 2, 2, 2, 2, 4, 5, 6, 7, 5, 1, 0, 0, 0, 5, 12, 14, 7, 0, 0, 15, 89, 217, 386, 559, 693, 748, 709, 587, 418, 246, 110, 27, 0, 0, 5, 13, 13, 6, 0, 0, 0, 1, 5, 6, 6, 4, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 5, 2, 0, 0, 0, 2, 11, 17, 14, 1, 0, 0, 52, 172, 352, 562, 753, 873, 887, 792, 617, 409, 219, 82, 10, 0, 0, 13, 20, 17, 8, 0, 0, 0, 5, 11, 15, 15, 13, 10, 7, 4, 2, 1, 0, 1, 2, 3, 3, 1, 0, 0, 0, 2, 9, 14, 10, 0, 0, 0, 44, 138, 276, 434, 572, 654, 654, 574, 438, 282, 145, 49, 2, 0, 0, 9, 13, 10, 3, 0, 0, 0, 0, 2, 3, 2, 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, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 5, 3, 0, 0, 0, 2, 13, 20, 16, 1, 0, 0, 63, 204, 413, 656, 874, 1008, 1019, 904, 698, 458, 241, 88, 8, 0, 0, 14, 21, 16, 5, 0, 0, 1, 9, 16, 19, 18, 16, 12, 9, 6, 3, 1, 1, 2, 5, 9, 13, 14, 11, 5, 0, 0, 2, 12, 18, 15, 0, 0, 0, 58, 185, 372, 587, 777, 892, 896, 790, 605, 392, 202, 70, 3, 0, 0, 15, 20, 15, 4, 0, 0, 0, 10, 18, 20, 15, 6, 0, 0, 2, 13, 20, 15, 0, 0, 1, 76, 227, 445, 690, 902, 1023, 1018, 889, 675, 434, 224, 79, 6, 0, 0, 6, 12, 12, 9, 5, 0, 0, 0, 12, 76, 189, 341, 503, 632, 692, 665, 559, 405, 246, 117, 35, 0, 0, 0, 3, 5, 7, 10, 10, 5, 0, 0, 7, 74, 200, 376, 567, 726, 809, 790, 676, 501, 312, 152, 47, 0, 0, 1, 12, 14, 8, 1, 0, 0, 0, 4, 7, 8, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 4, 7, 9, 11, 11, 9, 7, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 11, 14, 14, 11, 4, 0, 0, 2, 9, 14, 10, 0, 0, 1, 53, 156, 300, 459, 592, 663, 650, 558, 414, 258, 126, 39, 0, 0, 1, 10, 13, 8, 1, 0, 0, 0, 3, 6, 6, 5, 4, 3, 3, 5, 9, 14, 20, 25, 28, 25, 18, 9, 1, 0, 5, 13, 17, 10, 0, 0, 8, 78, 208, 385, 572, 723, 793, 762, 640, 463, 279, 129, 34, 0, 0, 5, 15, 16, 9, 1, 0, 0, 4, 10, 13, 13, 11, 7, 4, 1, 0, 0, 0, 2, 5, 8, 11, 14, 15, 15, 13, 10, 7, 5, 3, 3, 4, 6, 8, 10, 10, 8, 4, 0, 0, 0, 4, 10, 12, 6, 0, 0, 14, 71, 169, 296, 425, 522, 555, 510, 397, 244, 96, 0, 0, 77, 255, 483, 707, 868, 926, 867, 712, 505, 298, 134, 35, 0, 0, 7, 17, 17, 9, 1, 0, 0, 5, 10, 12, 11, 8, 5, 2, 2, 3, 6, 9, 12, 14, 15, 16, 14, 12, 9, 6, 4, 3, 4, 5, 7, 9, 10, 11, 10, 9, 7, 5, 4, 3, 3, 4, 4, 5, 5, 5, 4, 3, 2, 1, 2, 4, 7, 10, 13, 15, 16, 16, 15, 14, 12, 9, 7, 5, 5, 7, 9, 10, 8, 4, 0, 0, 0, 7, 17, 20, 11, 0, 0, 20, 111, 272, 484, 702, 870, 938, 881, 712, 476, 237, 57, 0, 29, 178, 385, 594, 749, 811, 769, 641, 464, 283, 136, 42, 0, 0, 4, 15, 17, 13, 5, 1, 0, 4, 8, 11, 12, 11, 9, 7, 5, 4, 4, 4, 6, 8, 10, 12, 13, 14, 14, 13, 12, 12, 11, 11, 10, 10, 9, 8, 7, 6, 6, 7, 7, 8, 8, 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, 2, 4, 6, 9, 10, 10, 9, 7, 4, 1, 0, 1, 2, 4, 4, 2, 0, 0, 0, 3, 11, 15, 11, 0, 0, 1, 56, 167, 326, 502, 653, 737, 728, 631, 475, 302, 153, 53, 4, 0, 0, 4, 5, 4, 4, 6, 6, 2, 0, 0, 22, 98, 227, 394, 565, 695, 748, 708, 588, 422, 253, 117, 32, 0, 0, 3, 12, 12, 6, 0, 0, 0, 3, 7, 10, 10, 8, 6, 4, 4, 4, 4, 4, 4, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 7, 8, 10, 10, 9, 7, 4, 1, 0, 1, 4, 9, 13, 13, 9, 3, 0, 0, 6, 14, 18, 11, 0, 0, 16, 97, 242, 437, 643, 807, 881, 837, 685, 465, 241, 78, 21, 83, 243, 451, 645, 772, 799, 725, 577, 397, 227, 97, 20, 0, 0, 9, 24, 27, 16, 0, 0, 0, 65, 196, 382, 590, 772, 878, 877, 771, 591, 384, 201, 72, 6, 0, 0, 12, 17, 12, 4, 0, 0, 0, 6, 11, 13, 13, 11, 9, 8, 7, 7, 7, 7, 6, 5, 4, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 3, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 7, 8, 7, 6, 6, 5, 5, 5, 5, 5, 5, 4, 3, 2, 2, 3, 4, 5, 5, 5, 5, 4, 3, 3, 3, 4, 6, 7, 8, 9, 9, 10, 11, 12, 13, 13, 14, 14, 13, 12, 11, 10, 9, 8, 7, 5, 4, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 3, 3, 2, 2, 2, 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, 1, 2, 3, 5, 6, 7, 8, 8, 7, 7, 5, 4, 2, 1, 1, 1, 1, 2, 2, 3, 4, 4, 3, 3, 2, 3, 4, 6, 9, 10, 9, 5, 0, 0, 0, 6, 13, 15, 8, 0, 0, 16, 90, 221, 392, 569, 708, 769, 736, 619, 451, 277, 132, 39, 0, 0, 3, 13, 14, 9, 2, 0, 0, 6, 12, 17, 18, 17, 14, 11, 10, 9, 8, 7, 6, 5, 4, 3, 3, 3, 4, 4, 4, 5, 7, 10, 12, 15, 16, 15, 14, 12, 10, 8, 7, 7, 6, 6, 6, 7, 8, 9, 10, 11, 12, 12, 12, 12, 11, 11, 12, 14, 17, 20, 21, 20, 18, 14, 12, 14, 17, 19, 16, 6, 0, 0, 23, 97, 218, 369, 518, 627, 665, 622, 511, 362, 214, 97, 25, 0, 0, 5, 13, 15, 11, 6, 4, 5, 8, 12, 13, 13, 11, 8, 7, 5, 5, 4, 4, 3, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 3, 5, 8, 10, 11, 10, 9, 7, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 9, 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, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 3, 4, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 1, 2, 3, 4, 3, 2, 1, 0, 1, 2, 4, 4, 2, 0, 0, 0, 2, 9, 14, 11, 0, 0, 0, 51, 157, 313, 495, 661, 767, 784, 707, 559, 381, 215, 90, 17, 0, 0, 3, 16, 21, 17, 5, 0, 0, 16, 93, 227, 404, 589, 738, 810, 784, 668, 495, 310, 154, 50, 1, 0, 0, 10, 13, 7, 0, 0, 0, 3, 9, 15, 17, 16, 13, 10, 6, 4, 4, 5, 6, 9, 12, 14, 15, 15, 14, 13, 11, 10, 9, 8, 8, 8, 9, 9, 9, 8, 7, 6, 4, 3, 2, 2, 3, 4, 6, 8, 9, 10, 9, 8, 6, 5, 3, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 3, 5, 6, 6, 6, 5, 3, 2, 1, 0, 0, 0, 1, 2, 3, 4, 4, 3, 2, 1, 1, 3, 5, 7, 6, 2, 0, 0, 0, 6, 15, 18, 9, 0, 0, 17, 104, 258, 462, 677, 848, 930, 899, 767, 570, 360, 182, 62, 1, 0, 0, 11, 22, 24, 14, 0, 0, 0, 49, 165, 339, 545, 738, 867, 895, 815, 649, 444, 250, 105, 21, 0, 0, 8, 15, 12, 4, 0, 0, 2, 10, 18, 21, 21, 18, 14, 11, 9, 8, 7, 6, 5, 4, 4, 5, 7, 7, 5, 1, 0, 0, 0, 6, 12, 11, 3, 0, 0, 32, 113, 240, 396, 546, 651, 679, 617, 480, 303, 137, 27, 6, 80, 230, 417, 589, 704, 733, 673, 545, 383, 226, 104, 30, 0, 0, 4, 10, 10, 5, 0, 0, 0, 4, 9, 11, 11, 8, 6, 4, 2, 1, 1, 1, 1, 2, 3, 3, 3, 3, 2, 1, 1, 1, 2, 3, 5, 6, 7, 7, 7, 6, 5, 4, 3, 3, 4, 6, 10, 14, 17, 16, 12, 6, 3, 3, 8, 13, 14, 5, 0, 0, 21, 98, 226, 391, 557, 684, 737, 701, 588, 429, 264, 128, 40, 0, 0, 1, 10, 12, 8, 2, 0, 0, 3, 8, 12, 12, 11, 10, 8, 8, 7, 8, 7, 7, 6, 5, 4, 4, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 9, 11, 12, 12, 11, 9, 7, 5, 5, 6, 8, 10, 13, 16, 17, 17, 16, 14, 11, 9, 7, 6, 5, 5, 6, 6, 7, 7, 7, 8, 8, 7, 7, 6, 5, 4, 3, 3, 3, 3, 4, 5, 5, 5, 4, 3, 3, 2, 2, 2, 3, 4, 5, 6, 6, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 6, 8, 11, 15, 18, 19, 15, 9, 3, 1, 4, 10, 14, 10, 0, 0, 1, 55, 162, 320, 502, 669, 776, 796, 722, 576, 398, 228, 99, 24, 0, 0, 6, 13, 11, 5, 0, 0, 4, 13, 21, 24, 21, 12, 4, 0, 3, 11, 15, 12, 0, 0, 1, 61, 182, 358, 560, 742, 858, 875, 791, 629, 433, 248, 107, 23, 0, 0, 6, 20, 22, 13, 0, 0, 1, 54, 158, 308, 480, 638, 740, 755, 675, 518, 324, 146, 35, 22, 115, 290, 501, 693, 817, 844, 771, 621, 435, 257, 119, 34, 0, 0, 4, 12, 12, 7, 1, 0, 2, 9, 16, 20, 21, 20, 17, 14, 11, 9, 7, 6, 5, 4, 3, 2, 3, 3, 4, 5, 5, 5, 4, 4, 5, 8, 11, 13, 11, 6, 0, 0, 0, 5, 12, 14, 7, 0, 0, 21, 103, 243, 427, 618, 771, 844, 818, 701, 525, 335, 173, 62, 6, 0, 0, 8, 11, 7, 0, 0, 0, 2, 8, 13, 15, 14, 11, 7, 5, 3, 2, 2, 2, 2, 2, 3, 3, 3, 3, 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, 1, 2, 4, 5, 5, 5, 4, 2, 1, 0, 0, 0, 0, 1, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 8, 8, 9, 9, 10, 10, 9, 8, 7, 7, 7, 7, 8, 6, 3, 0, 0, 0, 5, 11, 13, 6, 0, 0, 15, 81, 197, 351, 512, 641, 704, 684, 588, 442, 284, 148, 54, 6, 0, 0, 8, 13, 11, 6, 2, 2, 5, 9, 11, 11, 10, 8, 6, 6, 7, 10, 13, 16, 18, 19, 19, 17, 15, 13, 11, 9, 9, 8, 8, 8, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 8, 8, 9, 11, 12, 12, 12, 12, 11, 10, 8, 8, 8, 8, 9, 10, 10, 10, 10, 9, 8, 7, 7, 7, 7, 7, 6, 5, 5, 5, 5, 7, 9, 12, 14, 15, 15, 14, 12, 10, 8, 6, 5, 5, 6, 7, 8, 10, 10, 10, 10, 9, 8, 8, 7, 8, 10, 12, 13, 13, 10, 7, 4, 5, 10, 14, 15, 8, 0, 0, 16, 83, 203, 366, 543, 693, 777, 769, 667, 496, 301, 133, 36, 33, 125, 286, 473, 637, 738, 751, 679, 543, 379, 223, 104, 31, 0, 0, 3, 9, 10, 6, 1, 0, 2, 6, 11, 15, 17, 16, 14, 11, 8, 6, 4, 3, 4, 5, 7, 8, 9, 9, 8, 6, 4, 2, 0, 0, 0, 2, 4, 6, 7, 8, 8, 7, 6, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 4, 6, 8, 9, 9, 8, 7, 6, 5, 3, 2, 1, 1, 1, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 5, 7, 8, 8, 8, 8, 9, 9, 8, 7, 6, 5, 5, 7, 10, 11, 9, 6, 1, 0, 4, 12, 18, 16, 3, 0, 0, 47, 165, 350, 578, 803, 970, 1035, 981, 825, 607, 382, 194, 69, 7, 0, 0, 9, 12, 7, 0, 0, 0, 4, 13, 20, 23, 20, 14, 7, 2, 2, 5, 9, 10, 4, 0, 0, 15, 72, 170, 300, 437, 550, 609, 599, 523, 402, 266, 146, 59, 12, 0, 0, 4, 7, 6, 2, 0, 0, 0, 1, 3, 5, 5, 4, 3, 3, 2, 2, 2, 2, 3, 4, 4, 4, 4, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 8, 9, 9, 9, 8, 7, 5, 4, 3, 4, 5, 8, 11, 14, 15, 14, 10, 5, 3, 4, 8, 11, 9, 1, 0, 0, 31, 105, 223, 367, 511, 621, 668, 641, 549, 416, 273, 149, 60, 10, 0, 0, 7, 15, 14, 5, 0, 0, 14, 77, 184, 327, 480, 610, 684, 683, 608, 479, 328, 189, 84, 22, 0, 0, 3, 7, 6, 2, 0, 0, 1, 7, 12, 15, 16, 14, 12, 10, 8, 6, 5, 5, 4, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 3, 4, 3, 0, 0, 0, 0, 6, 12, 12, 4, 0, 0, 28, 112, 249, 423, 601, 741, 805, 778, 667, 504, 327, 175, 68, 12, 0, 0, 7, 11, 9, 5, 2, 2, 6, 10, 14, 15, 14, 12, 10, 8, 7, 6, 5, 6, 7, 7, 6, 4, 1, 0, 1, 5, 10, 10, 3, 0, 0, 19, 81, 184, 316, 454, 564, 617, 601, 520, 396, 260, 141, 57, 11, 0, 0, 4, 7, 5, 1, 0, 0, 0, 4, 7, 9, 8, 7, 5, 4, 3, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 8, 9, 10, 10, 9, 7, 6, 4, 2, 2, 1, 1, 2, 2, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 3, 4, 4, 2, 0, 0, 0, 1, 6, 8, 5, 0, 0, 5, 44, 117, 219, 333, 435, 498, 508, 461, 372, 263, 158, 75, 22, 0, 0, 0, 9, 15, 13, 4, 0, 0, 24, 103, 234, 407, 589, 740, 822, 813, 718, 562, 383, 220, 99, 28, 0, 0, 0, 4, 6, 6, 5, 2, 0, 0, 4, 42, 119, 236, 381, 526, 636, 681, 646, 536, 379, 213, 84, 26, 59, 175, 350, 540, 699, 790, 793, 710, 566, 397, 237, 113, 36, 2, 0, 1, 6, 6, 3, 0, 0, 2, 8, 14, 17, 17, 15, 11, 8, 5, 4, 4, 4, 5, 6, 8, 8, 9, 9, 9, 9, 8, 6, 5, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3, 2, 2, 1, 1, 0, 1, 1, 2, 3, 4, 4, 3, 2, 1, 1, 2, 3, 3, 2, 0, 0, 0, 0, 5, 8, 6, 0, 0, 2, 39, 114, 228, 362, 492, 585, 618, 583, 489, 361, 229, 118, 44, 6, 0, 0, 5, 7, 4, 0, 0, 0, 0, 3, 5, 5, 4, 3, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 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, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 3, 4, 6, 7, 8, 7, 6, 4, 4, 7, 11, 13, 10, 2, 0, 0, 35, 114, 239, 394, 553, 678, 737, 714, 612, 457, 289, 151, 79, 89, 177, 318, 473, 602, 673, 669, 595, 472, 329, 197, 95, 32, 3, 0, 2, 8, 10, 9, 7, 6, 8, 11, 14, 15, 15, 14, 13, 11, 10, 9, 9, 9, 9, 9, 9, 8, 8, 7, 7, 6, 5, 4, 3, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 3, 5, 6, 6, 6, 5, 4, 3, 1, 0, 0, 0, 0, 0, 1, 3, 4, 5, 5, 5, 4, 3, 2, 1, 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, 1, 2, 3, 4, 4, 3, 0, 0, 0, 0, 6, 10, 8, 0, 0, 0, 36, 116, 240, 391, 540, 653, 702, 674, 579, 440, 291, 161, 68, 16, 0, 0, 3, 7, 6, 2, 0, 0, 0, 3, 4, 5, 5, 4, 4, 4, 4, 5, 6, 7, 9, 11, 11, 10, 7, 3, 0, 1, 6, 10, 10, 4, 0, 0, 28, 102, 225, 386, 558, 702, 784, 780, 690, 537, 357, 197, 97, 81, 150, 284, 448, 598, 698, 724, 672, 559, 413, 266, 143, 57, 11, 0, 0, 5, 11, 11, 4, 0, 0, 12, 62, 151, 273, 411, 537, 620, 638, 584, 470, 324, 183, 85, 56, 106, 224, 384, 548, 676, 740, 726, 641, 506, 353, 211, 102, 34, 3, 0, 0, 5, 5, 2, 0, 0, 0, 3, 7, 10, 11, 10, 9, 7, 6, 5, 4, 4, 4, 4, 5, 6, 5, 3, 0, 0, 0, 2, 4, 5, 2, 0, 0, 12, 52, 119, 207, 303, 385, 434, 438, 397, 322, 231, 144, 75, 29, 5, 0, 0, 0, 3, 6, 7, 4, 0, 0, 3, 42, 120, 238, 380, 521, 628, 676, 654, 568, 441, 301, 176, 82, 26, 0, 0, 0, 3, 6, 7, 3, 0, 0, 2, 32, 97, 199, 330, 469, 588, 657, 657, 587, 465, 322, 199, 130, 137, 218, 354, 509, 643, 720, 724, 655, 531, 383, 240, 126, 50, 11, 0, 0, 4, 6, 5, 3, 2, 4, 8, 11, 13, 14, 12, 11, 9, 8, 7, 7, 6, 6, 6, 6, 7, 8, 9, 9, 9, 9, 9, 10, 13, 15, 17, 18, 17, 14, 11, 9, 9, 10, 10, 7, 0, 0, 3, 32, 90, 180, 290, 402, 490, 533, 518, 448, 341, 226, 137, 101, 132, 228, 367, 517, 640, 705, 695, 614, 482, 336, 214, 147, 152, 226, 345, 478, 586, 643, 635, 566, 454, 324, 201, 104, 41, 10, 1, 4, 10, 14, 14, 12, 11, 10, 10, 12, 13, 14, 13, 12, 11, 10, 9, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 5, 4, 4, 3, 4, 5, 5, 6, 7, 7, 7, 6, 5, 4, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 1, 1, 0, 0, 0, 1, 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, 5, 3, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 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, 0, 0, 0, 0, 0, 1, 3, 5, 6, 7, 7, 7, 5, 4, 2, 1, 0, 0, 1, 3, 4, 3, 1, 0, 0, 0, 3, 8, 9, 3, 0, 0, 23, 92, 209, 364, 535, 685, 781, 802, 744, 621, 462, 302, 166, 71, 19, 0, 0, 2, 4, 2, 0, 0, 1, 7, 12, 14, 11, 5, 1, 1, 4, 8, 8, 1, 0, 0, 39, 129, 274, 461, 659, 827, 927, 937, 854, 701, 511, 325, 172, 68, 12, 0, 0, 6, 12, 11, 4, 0, 0, 11, 62, 152, 275, 415, 545, 637, 669, 634, 542, 415, 279, 160, 73, 22, 0, 0, 0, 3, 3, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 3, 5, 6, 7, 7, 6, 5, 3, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 3, 4, 2, 0, 0, 6, 32, 80, 147, 225, 298, 349, 369, 352, 303, 234, 160, 95, 46, 16, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 4, 6, 7, 8, 7, 5, 4, 4, 6, 7, 6, 2, 0, 0, 18, 66, 146, 254, 373, 481, 554, 574, 536, 449, 334, 222, 143, 118, 158, 254, 386, 520, 625, 676, 661, 584, 466, 332, 206, 108, 44, 10, 0, 0, 0, 3, 5, 4, 1, 0, 0, 10, 52, 130, 244, 381, 517, 624, 679, 669, 598, 483, 348, 220, 117, 48, 12, 0, 0, 1, 2, 1, 0, 0, 1, 6, 10, 13, 11, 7, 2, 0, 0, 3, 5, 4, 0, 0, 5, 40, 108, 210, 334, 459, 560, 615, 613, 555, 455, 335, 217, 120, 53, 15, 0, 0, 0, 2, 1, 0, 0, 0, 1, 4, 7, 8, 7, 5, 3, 1, 0, 0, 1, 2, 3, 4, 4, 4, 4, 3, 3, 1, 1, 1, 2, 6, 13, 23, 33, 43, 48, 48, 39, 24, 9, 2, 14, 54, 126, 226, 339, 446, 525, 558, 536, 464, 359, 248, 159, 117, 132, 201, 309, 429, 530, 591, 596, 546, 454, 340, 225, 128, 59, 19, 2, 0, 0, 2, 2, 0, 0, 0, 2, 5, 7, 7, 5, 3, 1, 1, 3, 4, 3, 0, 0, 3, 28, 80, 162, 265, 373, 467, 526, 539, 502, 424, 323, 219, 128, 61, 21, 2, 0, 0, 2, 2, 1, 0, 0, 1, 4, 7, 9, 10, 9, 7, 5, 4, 4, 4, 5, 5, 4, 2, 0, 0, 0, 3, 4, 2, 0, 0, 8, 43, 111, 212, 335, 461, 564, 625, 629, 577, 480, 360, 239, 135, 61, 18, 0, 0, 0, 2, 2, 0, 0, 0, 1, 5, 8, 9, 9, 6, 4, 1, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 4, 5, 3, 0, 0, 8, 44, 113, 214, 336, 458, 558, 614, 615, 562, 467, 349, 230, 128, 55, 13, 0, 0, 5, 8, 4, 0, 0, 13, 61, 145, 261, 393, 517, 610, 652, 635, 564, 454, 329, 210, 114, 49, 13, 0, 0, 0, 2, 1, 0, 0, 0, 2, 5, 7, 9, 8, 7, 6, 5, 4, 5, 6, 7, 9, 11, 11, 9, 7, 5, 4, 5, 6, 6, 2, 0, 0, 15, 61, 143, 256, 387, 512, 607, 650, 635, 564, 454, 328, 208, 112, 47, 12, 0, 0, 1, 2, 1, 0, 0, 0, 1, 4, 6, 7, 6, 5, 3, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 3, 5, 4, 0, 0, 3, 34, 98, 199, 326, 461, 579, 655, 676, 635, 545, 423, 293, 177, 89, 33, 6, 0, 0, 1, 2, 0, 0, 0, 2, 5, 7, 7, 6, 4, 3, 4, 4, 3, 0, 0, 4, 30, 82, 164, 270, 385, 487, 557, 577, 543, 463, 355, 248, 168, 136, 162, 240, 353, 475, 576, 634, 634, 578, 480, 365, 262, 196, 184, 228, 316, 426, 528, 595, 608, 565, 475, 365, 266, 206, 205, 266, 375, 507, 628, 710, 734, 696, 603, 478, 343, 220, 123, 57, 20, 4, 1, 4, 8, 11, 13, 15, 17, 18, 19, 18, 17, 16, 15, 13, 10, 6, 1, 0, 4, 26, 68, 132, 216, 307, 391, 450, 471, 448, 387, 302, 215, 151, 127, 156, 232, 342, 460, 559, 616, 617, 564, 469, 359, 259, 196, 184, 225, 305, 405, 496, 556, 570, 534, 458, 358, 252, 158, 86, 39, 14, 5, 4, 6, 7, 8, 9, 10, 11, 13, 14, 15, 14, 13, 11, 9, 8, 7, 7, 7, 8, 9, 10, 11, 11, 11, 10, 9, 7, 6, 5, 5, 5, 4, 4, 2, 0, 0, 0, 0, 2, 3, 2, 0, 0, 6, 35, 91, 175, 280, 390, 487, 551, 571, 543, 474, 378, 273, 175, 96, 42, 11, 0, 0, 1, 4, 2, 0, 0, 2, 25, 70, 140, 229, 326, 416, 483, 515, 505, 457, 379, 286, 193, 114, 55, 20, 3, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 2, 1, 0, 0, 1, 4, 4, 1, 0, 0, 18, 65, 145, 258, 390, 521, 625, 682, 680, 619, 516, 397, 291, 224, 212, 254, 339, 442, 536, 597, 611, 574, 494, 389, 276, 174, 94, 41, 12, 1, 0, 0, 0, 0, 0, 1, 3, 6, 9, 11, 10, 8, 6, 3, 2, 1, 2, 2, 3, 4, 5, 5, 5, 4, 4, 3, 2, 1, 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, 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, 1, 3, 5, 7, 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, 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, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 11, 41, 94, 169, 259, 352, 433, 486, 503, 480, 421, 339, 248, 162, 91, 42, 13, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 3, 3, 0, 0, 0, 15, 51, 113, 199, 298, 395, 474, 519, 524, 488, 420, 333, 240, 156, 88, 41, 13, 0, 0, 0, 2, 1, 0, 0, 6, 31, 76, 144, 229, 320, 402, 460, 483, 466, 414, 338, 259, 197, 169, 185, 245, 337, 439, 530, 588, 600, 564, 488, 387, 279, 180, 101, 47, 16, 2, 0, 0, 2, 4, 6, 8, 11, 13, 14, 15, 14, 13, 12, 9, 5, 0, 0, 3, 27, 77, 155, 259, 379, 495, 590, 646, 654, 613, 531, 424, 309, 204, 118, 57, 21, 3, 0, 0, 1, 1, 0, 0, 3, 24, 67, 134, 223, 325, 428, 514, 570, 584, 555, 489, 397, 295, 197, 116, 58, 23, 6, 1, 0, 0, 0, 0, 16, 52, 114, 199, 300, 401, 485, 537, 548, 517, 452, 364, 270, 181, 109, 57, 25, 9, 3, 1, 0, 0, 0, 10, 40, 95, 175, 273, 377, 470, 537, 565, 551, 497, 415, 317, 221, 137, 74, 32, 9, 0, 0, 0, 2, 4, 6, 9, 11, 13, 14, 13, 11, 9, 7, 5, 3, 3, 3, 4, 5, 6, 7, 7, 6, 5, 4, 3, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 3, 3, 3, 2, 1, 1, 2, 2, 1, 0, 0, 2, 20, 60, 126, 218, 327, 439, 537, 602, 623, 597, 529, 432, 322, 217, 129, 65, 26, 6, 0, 0, 0, 0, 0, 1, 3, 5, 7, 8, 8, 6, 5, 4, 3, 1, 0, 0, 3, 22, 61, 125, 212, 313, 414, 500, 555, 571, 545, 482, 395, 296, 202, 122, 63, 25, 6, 0, 0, 0, 0, 0, 0, 2, 4, 6, 8, 7, 6, 3, 1, 0, 0, 0, 1, 2, 3, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 3, 4, 4, 4, 4, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 4, 5, 5, 4, 3, 2, 1, 1, 1, 0, 0, 0, 9, 33, 77, 142, 226, 319, 410, 482, 525, 529, 496, 433, 359, 291, 248, 240, 270, 328, 399, 464, 508, 519, 494, 438, 361, 274, 190, 118, 64, 28, 8, 0, 0, 0, 0, 1, 1, 1, 2, 3, 4, 5, 5, 4, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 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, 1, 2, 3, 4, 5, 5, 4, 3, 3, 1, 0, 0, 0, 8, 29, 67, 124, 201, 289, 378, 455, 504, 519, 496, 441, 367, 291, 232, 204, 214, 258, 328, 406, 474, 517, 526, 497, 438, 357, 269, 186, 115, 63, 30, 12, 4, 0, 0, 0, 2, 16, 46, 98, 169, 255, 345, 427, 487, 515, 507, 465, 397, 313, 226, 148, 86, 42, 16, 4, 0, 0, 0, 0, 0, 1, 3, 6, 8, 10, 10, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 13, 38, 80, 141, 217, 298, 373, 431, 460, 458, 426, 373, 314, 263, 236, 241, 279, 342, 417, 487, 535, 551, 530, 476, 398, 308, 221, 144, 85, 44, 19, 6, 1, 0, 0, 2, 3, 4, 5, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 3, 3, 3, 2, 1, 0, 0, 3, 17, 44, 88, 149, 224, 304, 380, 440, 473, 476, 447, 393, 321, 243, 169, 106, 59, 28, 10, 2, 0, 0, 0, 1, 2, 3, 5, 6, 8, 8, 7, 6, 5, 3, 1, 0, 0, 2, 12, 30, 61, 104, 159, 218, 275, 321, 347, 351, 330, 290, 238, 181, 128, 84, 50, 27, 13, 6, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 2, 1, 2, 10, 26, 56, 99, 156, 221, 287, 346, 388, 408, 401, 369, 317, 254, 188, 128, 78, 43, 20, 7, 1, 0, 0, 4, 16, 41, 82, 141, 215, 298, 380, 447, 491, 502, 479, 427, 355, 273, 195, 127, 75, 39, 17, 6, 1, 1, 2, 3, 5, 7, 9, 11, 12, 12, 13, 12, 11, 10, 9, 8, 8, 8, 9, 10, 10, 9, 8, 7, 6, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 6, 5, 4, 3, 2, 2, 3, 3, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 6, 7, 9, 10, 11, 11, 11, 10, 10, 9, 9, 8, 9, 9, 9, 9, 8, 8, 7, 7, 8, 8, 7, 5, 2, 0, 4, 19, 51, 104, 178, 268, 364, 454, 525, 567, 572, 541, 480, 399, 308, 221, 145, 86, 45, 21, 8, 4, 3, 4, 8, 17, 35, 65, 111, 173, 248, 329, 408, 472, 510, 517, 491, 442, 382, 329, 299, 303, 344, 414, 500, 582, 643, 669, 654, 602, 525, 440, 364, 311, 291, 303, 339, 384, 425, 449, 448, 420, 370, 306, 238, 174, 119, 77, 47, 27, 14, 6, 1, 0, 0, 7, 23, 52, 95, 154, 226, 305, 383, 450, 496, 512, 498, 455, 390, 313, 234, 163, 104, 61, 32, 15, 6, 4, 4, 5, 7, 9, 11, 12, 12, 12, 11, 10, 8, 7, 5, 4, 3, 2, 2, 2, 2, 2, 3, 4, 5, 5, 6, 7, 7, 8, 8, 8, 7, 7, 6, 5, 4, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 7, 6, 5, 4, 2, 0, 0, 0, 3, 14, 36, 70, 118, 177, 241, 304, 356, 391, 403, 390, 354, 300, 238, 174, 116, 70, 37, 16, 5, 0, 0, 0, 1, 2, 2, 3, 3, 3, 2, 2, 2, 1, 0, 0, 1, 9, 27, 58, 102, 159, 224, 291, 351, 396, 419, 416, 388, 339, 277, 210, 148, 95, 55, 28, 12, 3, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 5, 20, 49, 95, 157, 233, 316, 395, 461, 504, 518, 501, 455, 389, 311, 232, 160, 100, 56, 27, 10, 2, 0, 0, 0, 0, 0, 1, 2, 2, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 3, 2, 2, 2, 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, 2, 4, 6, 7, 8, 8, 6, 5, 3, 2, 2, 2, 3, 4, 4, 4, 3, 3, 2, 2, 2, 1, 0, 0, 0, 5, 20, 46, 86, 140, 204, 273, 339, 394, 430, 443, 431, 394, 340, 275, 208, 146, 93, 53, 26, 10, 2, 0, 0, 2, 4, 5, 6, 7, 8, 8, 8, 7, 6, 4, 2, 0, 2, 8, 22, 47, 85, 137, 201, 274, 347, 411, 457, 480, 475, 445, 393, 328, 258, 191, 132, 84, 50, 26, 12, 5, 3, 2, 3, 5, 6, 7, 8, 8, 7, 6, 4, 3, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 3, 4, 5, 5, 6, 6, 6, 6, 6, 6, 5, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 4, 3, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 18, 42, 79, 128, 183, 241, 294, 335, 359, 363, 347, 313, 265, 210, 155, 105, 64, 34, 15, 5, 0, 0, 0, 0, 0, 0, 0, 2, 3, 4, 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, 1, 1, 2, 2, 3, 3, 2, 2, 1, 1, 1, 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, 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, 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, 4, 14, 33, 61, 100, 149, 204, 261, 314, 357, 385, 394, 384, 356, 312, 260, 205, 151, 105, 68, 40, 22, 11, 5, 2, 2, 2, 3, 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8, 10, 11, 13, 14, 16, 16, 17, 16, 16, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 15, 15, 14, 13, 12, 12, 15, 23, 40, 67, 106, 156, 216, 279, 341, 396, 436, 458, 460, 442, 409, 369, 330, 302, 289, 294, 316, 349, 384, 415, 432, 431, 411, 373, 322, 263, 205, 152, 107, 72, 48, 31, 23, 21, 28, 45, 74, 117, 174, 242, 315, 387, 450, 496, 518, 515, 487, 437, 373, 303, 233, 171, 120, 80, 53, 34, 23, 17, 14, 14, 14, 15, 16, 18, 18, 18, 18, 17, 15, 15, 16, 21, 33, 54, 87, 131, 185, 246, 307, 362, 404, 429, 434, 422, 397, 365, 334, 312, 302, 308, 327, 356, 388, 416, 435, 440, 429, 403, 369, 332, 301, 283, 281, 295, 321, 354, 383, 401, 404, 388, 354, 307, 253, 197, 145, 101, 68, 44, 29, 20, 15, 12, 11, 10, 11, 12, 13, 15, 16, 16, 15, 14, 13, 13, 14, 19, 28, 45, 72, 109, 157, 213, 273, 332, 381, 417, 433, 431, 412, 381, 347, 318, 300, 297, 310, 334, 364, 392, 411, 415, 402, 373, 331, 280, 225, 172, 125, 86, 56, 35, 22, 14, 10, 7, 6, 5, 5, 5, 6, 6, 7, 8, 8, 8, 7, 6, 6, 6, 5, 6, 6, 6, 7, 7, 8, 8, 9, 10, 10, 11, 11, 11, 11, 10, 10, 9, 8, 7, 6, 5, 4, 4, 4, 4, 4, 4, 3, 2, 1, 1, 1, 2, 5, 12, 24, 43, 70, 106, 151, 201, 253, 302, 342, 368, 376, 366, 340, 300, 252, 201, 153, 110, 75, 49, 31, 21, 18, 25, 41, 70, 110, 161, 221, 284, 344, 397, 436, 458, 462, 448, 421, 388, 356, 332, 321, 326, 345, 372, 402, 426, 437, 431, 407, 368, 316, 259, 201, 148, 103, 68, 42, 25, 15, 10, 10, 13, 22, 37, 60, 93, 136, 187, 244, 301, 352, 391, 413, 416, 403, 378, 349, 323, 306, 301, 309, 329, 355, 383, 405, 417, 414, 395, 361, 314, 260, 205, 153, 107, 71, 44, 26, 14, 7, 4, 3, 3, 4, 4, 4, 3, 3, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 8, 20, 39, 66, 100, 141, 187, 233, 276, 312, 336, 346, 340, 318, 284, 242, 197, 152, 112, 78, 51, 31, 17, 7, 2, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 3, 2, 2, 2, 2, 4, 7, 12, 20, 32, 51, 77, 110, 151, 197, 243, 286, 322, 345, 354, 348, 327, 294, 252, 205, 159, 117, 81, 53, 31, 17, 8, 2, 0, 0, 0, 1, 2, 3, 3, 3, 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, 1, 1, 1, 2, 3, 3, 3, 3, 2, 1, 0, 1, 4, 11, 23, 40, 63, 93, 130, 171, 216, 260, 299, 329, 349, 355, 350, 338, 322, 309, 304, 309, 325, 350, 378, 404, 423, 430, 426, 409, 385, 357, 330, 311, 302, 304, 315, 332, 350, 363, 367, 360, 342, 312, 274, 230, 185, 142, 104, 72, 47, 29, 16, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 4, 7, 14, 24, 41, 64, 96, 135, 179, 228, 275, 318, 352, 373, 380, 370, 346, 309, 264, 215, 165, 120, 81, 52, 32, 22, 19, 24, 37, 58, 88, 127, 174, 225, 277, 324, 361, 384, 391, 382, 357, 321, 276, 228, 180, 136, 97, 66, 42, 26, 15, 8, 4, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 3, 6, 14, 26, 45, 69, 100, 134, 172, 212, 249, 281, 306, 319, 320, 308, 284, 251, 212, 171, 132, 98, 69, 46, 29, 17, 10, 5, 3, 2, 3, 3, 3, 3, 3, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 4, 6, 10, 15, 24, 37, 56, 82, 115, 154, 196, 238, 277, 308, 330, 341, 338, 322, 295, 259, 218, 175, 135, 99, 69, 46, 29, 17, 10, 6, 5, 5, 6, 7, 7, 6, 5, 4, 3, 2, 3, 3, 3, 3, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 5, 7, 12, 19, 31, 48, 71, 99, 133, 169, 207, 243, 274, 298, 314, 323, 325, 323, 321, 321, 327, 341, 362, 389, 417, 443, 461, 469, 466, 452, 431, 408, 387, 370, 361, 360, 365, 372, 379, 380, 373, 357, 330, 296, 256, 215, 175, 137, 104, 75, 52, 35, 25, 21, 23, 32, 46, 67, 93, 125, 161, 201, 241, 278, 308, 329, 337, 331, 312, 282, 245, 204, 164, 127, 96, 70, 49, 33, 21, 12, 6, 3, 2, 2, 3, 4, 4, 4, 4, 4, 5, 6, 9, 15, 26, 43, 66, 97, 133, 172, 213, 252, 288, 317, 339, 353, 359, 358, 353, 345, 339, 337, 340, 348, 359, 371, 380, 385, 381, 368, 346, 315, 278, 236, 193, 152, 116, 87, 67, 56, 56, 65, 85, 114, 152, 198, 249, 300, 348, 388, 417, 433, 437, 429, 413, 393, 372, 355, 343, 339, 340, 347, 354, 360, 359, 351, 333, 307, 273, 234, 193, 153, 117, 86, 62, 44, 31, 22, 16, 12, 9, 7, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 2, 2, 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, 1, 2, 3, 4, 5, 6, 8, 13, 21, 33, 49, 70, 94, 121, 149, 176, 202, 223, 237, 243, 240, 229, 211, 187, 160, 132, 104, 78, 56, 37, 22, 12, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 3, 5, 6, 6, 5, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 3, 5, 10, 17, 27, 42, 61, 83, 109, 137, 165, 191, 213, 231, 241, 242, 236, 221, 199, 172, 143, 114, 86, 62, 42, 27, 15, 7, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 8, 10, 16, 24, 38, 56, 80, 110, 144, 183, 223, 262, 297, 324, 341, 346, 340, 322, 296, 263, 227, 189, 152, 118, 88, 64, 44, 30, 19, 13, 9, 7, 6, 7, 8, 10, 11, 12, 13, 14, 18, 24, 33, 47, 66, 90, 119, 152, 189, 228, 266, 302, 332, 353, 362, 359, 345, 319, 285, 247, 206, 166, 129, 97, 71, 51, 36, 25, 17, 12, 9, 7, 6, 6, 6, 7, 8, 9, 9, 9, 10, 12, 17, 24, 34, 48, 65, 85, 107, 131, 156, 180, 202, 220, 234, 244, 249, 252, 253, 255, 260, 269, 284, 304, 328, 352, 374, 391, 401, 405, 402, 396, 388, 381, 375, 373, 373, 376, 380, 384, 385, 382, 374, 358, 334, 304, 267, 227, 186, 148, 113, 83, 60, 42, 29, 20, 15, 12, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 10, 10, 9, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 1, 2, 3, 3, 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, 0, 0, 0, 1, 1, 2, 3, 3, 3, 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, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 9, 10, 12, 14, 17, 21, 28, 38, 52, 71, 96, 127, 164, 204, 247, 289, 328, 361, 385, 398, 399, 387, 364, 332, 294, 253, 213, 174, 140, 110, 85, 64, 47, 33, 24, 18, 14, 12, 10, 10, 9, 8, 7, 7, 7, 6, 7, 7, 7, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 12, 12, 13, 13, 13, 13, 13, 13, 12, 11, 11, 11, 12, 13, 14, 15, 16, 16, 15, 14, 12, 11, 11, 11, 12, 12, 13, 13, 12, 12, 11, 11, 11, 12, 12, 12, 13, 13, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 12, 12, 12, 12, 12, 12, 12, 13, 13, 14, 13, 12, 11, 10, 9, 9, 9, 9, 10, 11, 11, 12, 12, 13, 13, 13, 14, 14, 14, 15, 16, 18, 22, 26, 32, 40, 51, 65, 84, 109, 140, 178, 219, 262, 305, 343, 374, 396, 409, 411, 402, 383, 356, 321, 281, 239, 198, 161, 130, 106, 91, 84, 84, 91, 104, 123, 148, 176, 207, 238, 267, 292, 311, 323, 326, 322, 309, 289, 263, 232, 200, 167, 135, 107, 84, 65, 51, 40, 31, 25, 20, 17, 15, 14, 14, 14, 15, 15, 15, 14, 13, 12, 12, 13, 14, 15, 16, 18, 19, 20, 21, 23, 26, 31, 38, 48, 62, 81, 104, 133, 167, 206, 248, 291, 331, 365, 390, 406, 410, 403, 387, 362, 331, 295, 257, 218, 181, 148, 122, 104, 94, 91, 96, 108, 126, 152, 184, 221, 261, 300, 337, 366, 387, 398, 403, 402, 397, 393, 388, 385, 382, 382, 382, 384, 387, 391, 395, 397, 398, 396, 393, 390, 387, 386, 387, 390, 394, 399, 404, 409, 412, 412, 410, 406, 400, 392, 385, 379, 376, 374, 374, 374, 373, 370, 362, 349, 331, 308, 281, 251, 220, 189, 160, 133, 109, 89, 75, 66, 63, 67, 77, 93, 113, 138, 166, 197, 229, 260, 287, 309, 323, 328, 325, 314, 297, 276, 251, 224, 196, 168, 140, 115, 94, 79, 70, 67, 71, 81, 96, 117, 143, 171, 202, 234, 264, 292, 316, 336, 352, 364, 372, 378, 381, 383, 384, 386, 389, 392, 394, 396, 395, 389, 378, 359, 335, 305, 271, 237, 203, 173, 148, 129, 115, 108, 108, 114, 128, 147, 170, 197, 226, 254, 281, 306, 326, 341, 351, 356, 356, 353, 348, 343, 338, 336, 335, 337, 339, 341, 340, 335, 324, 306, 283, 256, 227, 197, 167, 139, 114, 90, 69, 53, 39, 30, 23, 18, 15, 12, 10, 9, 8, 7, 7, 7, 7, 6, 5, 5, 4, 4, 3, 3, 2, 2, 2, 2, 2, 2, 3, 4, 4, 5, 5, 5, 5, 4, 3, 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, 1, 2, 4, 7, 11, 16, 24, 35, 49, 68, 90, 115, 141, 167, 192, 215, 236, 254, 268, 277, 279, 274, 261, 241, 216, 187, 158, 130, 105, 84, 66, 51, 38, 27, 19, 13, 9, 7, 7, 6, 6, 6, 5, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 9, 11, 14, 18, 23, 29, 37, 48, 62, 80, 102, 128, 157, 187, 215, 242, 264, 282, 295, 302, 302, 296, 282, 262, 237, 208, 179, 150, 123, 99, 78, 60, 45, 33, 25, 20, 18, 17, 18, 18, 19, 21, 24, 29, 37, 49, 65, 85, 109, 137, 168, 201, 236, 271, 305, 336, 360, 378, 387, 387, 378, 360, 336, 306, 272, 236, 201, 167, 136, 108, 84, 65, 49, 36, 26, 18, 12, 8, 5, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 3, 3, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 11, 12, 13, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 22, 23, 23, 22, 21, 19, 17, 15, 14, 13, 12, 11, 9, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 4, 6, 10, 15, 20, 28, 37, 49, 64, 82, 103, 125, 149, 171, 192, 210, 224, 233, 237, 236, 230, 219, 205, 188, 170, 151, 134, 119, 108, 101, 99, 102, 109, 121, 138, 160, 186, 216, 248, 280, 310, 335, 354, 367, 376, 380, 382, 382, 381, 378, 375, 372, 369, 366, 363, 358, 351, 341, 326, 307, 285, 260, 233, 205, 176, 149, 123, 99, 79, 62, 48, 38, 29, 22, 17, 13, 10, 8, 7, 6, 6, 5, 4, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 8, 10, 12, 14, 17, 20, 23, 28, 36, 46, 60, 78, 98, 121, 146, 172, 197, 222, 246, 268, 285, 298, 305, 306, 300, 288, 270, 248, 222, 195, 167, 139, 114, 92, 73, 58, 45, 34, 26, 19, 14, 11, 9, 8, 6, 6, 5, 4, 4, 4, 4, 4, 3, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 3, 3, 3, 4, 6, 9, 13, 19, 26, 34, 44, 55, 69, 84, 101, 119, 137, 155, 171, 185, 195, 201, 202, 200, 193, 183, 170, 155, 138, 121, 103, 87, 71, 56, 44, 33, 24, 17, 11, 7, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 8, 10, 14, 17, 22, 26, 32, 39, 48, 60, 75, 92, 113, 135, 159, 183, 208, 233, 255, 274, 289, 299, 303, 300, 292, 278, 260, 238, 213, 189, 166, 146, 131, 120, 115, 113, 116, 124, 135, 152, 172, 195, 219, 241, 260, 275, 285, 290, 290, 287, 279, 266, 248, 227, 203, 178, 153, 130, 109, 90, 73, 58, 44, 33, 24, 18, 15, 13, 13, 14, 14, 15, 15, 16, 19, 23, 29, 38, 50, 63, 77, 92, 107, 124, 140, 157, 172, 186, 195, 201, 202, 199, 193, 184, 172, 158, 141, 123, 105, 87, 72, 59, 49, 40, 33, 26, 20, 14, 10, 7, 5, 5, 4, 5, 5, 5, 6, 7, 7, 8, 7, 7, 6, 6, 7, 9, 11, 14, 18, 21, 26, 32, 40, 51, 64, 79, 96, 113, 130, 147, 162, 176, 188, 197, 203, 205, 203, 197, 188, 176, 161, 145, 128, 110, 93, 77, 63, 51, 42, 34, 29, 24, 21, 19, 18, 19, 21, 24, 29, 35, 42, 51, 63, 77, 95, 116, 139, 163, 188, 213, 235, 255, 271, 284, 292, 296, 295, 288, 276, 259, 237, 213, 188, 164, 141, 120, 101, 83, 67, 52, 40, 30, 22, 17, 13, 11, 9, 8, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 2, 2, 3, 4, 6, 7, 7, 7, 6, 7, 7, 8, 10, 11, 12, 14, 17, 22, 28, 36, 46, 57, 71, 87, 107, 128, 153, 178, 203, 227, 249, 268, 282, 293, 298, 297, 291, 280, 265, 246, 225, 202, 178, 154, 131, 109, 89, 72, 58, 47, 37, 30, 25, 21, 18, 17, 18, 19, 22, 25, 28, 32, 38, 45, 55, 68, 83, 101, 118, 136, 154, 171, 187, 203, 218, 230, 239, 243, 242, 235, 224, 209, 191, 172, 153, 133, 115, 98, 82, 69, 57, 47, 39, 33, 28, 25, 24, 24, 25, 28, 33, 40, 49, 61, 74, 89, 105, 122, 140, 159, 180, 200, 220, 239, 254, 265, 272, 273, 270, 263, 253, 238, 221, 202, 181, 159, 137, 115, 96, 78, 63, 51, 41, 33, 28, 24, 21, 19, 18, 16, 15, 13, 12, 11, 11, 11, 11, 12, 12, 13, 13, 14, 15, 17, 21, 25, 31, 37, 45, 54, 66, 78, 93, 109, 125, 142, 159, 174, 188, 201, 210, 217, 220, 219, 214, 206, 196, 183, 169, 154, 138, 122, 106, 90, 76, 62, 51, 41, 33, 27, 22, 17, 14, 11, 8, 6, 4, 3, 3, 3, 4, 4, 5, 6, 6, 5, 3, 2, 1, 0, 1, 2, 4, 5, 5, 4, 4, 3, 3, 4, 6, 7, 8, 8, 7, 6, 5, 5, 6, 7, 8, 8, 9, 9, 8, 8, 8, 8, 8, 9, 9, 9, 8, 8, 8, 8, 8, 9, 10, 11, 12, 13, 15, 17, 20, 24, 29, 36, 44, 55, 67, 81, 95, 110, 126, 142, 159, 176, 193, 210, 226, 241, 254, 267, 279, 290, 302, 314, 326, 337, 347, 355, 360, 362, 360, 355, 348, 337, 324, 308, 289, 268, 248, 229, 213, 200, 191, 185, 181, 181, 184, 191, 202, 216, 233, 251, 268, 282, 294, 302, 307, 308, 305, 299, 289, 276, 261, 244, 226, 209, 193, 179, 166, 156, 149, 144, 143, 146, 152, 163, 175, 189, 202, 214, 223, 231, 237, 241, 243, 242, 238, 230, 220, 207, 192, 176, 160, 144, 128, 112, 96, 82, 68, 56, 46, 38, 32, 27, 23, 19, 15, 13, 10, 8, 7, 7, 7, 8, 8, 8, 8, 7, 6, 5, 4, 4, 5, 6, 7, 8, 8, 7, 6, 5, 4, 3, 2, 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, 1, 1, 1, 1, 0, 0, 0, 0, 1, 3, 5, 7, 10, 13, 17, 22, 27, 33, 40, 49, 60, 75, 93, 113, 135, 158, 181, 204, 225, 246, 268, 289, 311, 330, 347, 361, 371, 377, 381, 383, 384, 385, 386, 387, 387, 385, 380, 371, 359, 343, 325, 306, 287, 269, 251, 233, 215, 196, 178, 162, 149, 140, 136, 136, 138, 143, 150, 159, 170, 183, 197, 213, 230, 246, 262, 278, 292, 306, 318, 328, 336, 341, 344, 345, 345, 344, 343, 341, 338, 334, 328, 320, 310, 298, 285, 270, 254, 237, 219, 201, 181, 162, 143, 124, 107, 91, 78, 66, 56, 48, 41, 35, 29, 25, 21, 18, 16, 15, 14, 14, 13, 12, 11, 10, 9, 8, 8, 8, 8, 8, 7, 6, 5, 5, 5, 6, 7, 8, 8, 9, 9, 8, 7, 7, 5, 5, 4, 4, 4, 4, 5, 6, 7, 7, 7, 6, 5, 4, 3, 4, 5, 6, 9, 11, 14, 17, 20, 24, 30, 36, 44, 53, 63, 75, 88, 103, 119, 137, 154, 170, 184, 195, 203, 208, 211, 211, 210, 205, 197, 185, 170, 153, 136, 119, 104, 90, 78, 66, 56, 47, 39, 32, 26, 22, 18, 15, 13, 11, 9, 8, 6, 5, 4, 3, 3, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 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, 4, 6, 8, 11, 15, 18, 22, 26, 31, 36, 42, 51, 60, 71, 82, 93, 105, 116, 127, 138, 149, 160, 170, 178, 184, 188, 191, 193, 193, 193, 191, 187, 180, 170, 158, 145, 132, 119, 108, 98, 88, 78, 68, 58, 49, 40, 33, 28, 23, 19, 15, 10, 6, 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, 3, 4, 5, 5, 5, 5, 5, 6, 7, 7, 6, 5, 5, 8, 16, 31, 54, 82, 108, 128, 137, 131, 112, 86, 58, 35, 18, 10, 7, 8, 10, 10, 9, 8, 7, 7, 7, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 9, 8, 8, 7, 7, 6, 5, 5, 4, 4, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 5, 6, 6, 6, 5, 5, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 7, 8, 8, 9, 9, 10, 10, 11, 12, 12, 13, 14, 15, 17, 19, 22, 24, 26, 27, 26, 26, 26, 26, 27, 29, 32, 34, 37, 40, 43, 45, 47, 48, 49, 50, 51, 52, 53, 56, 58, 61, 63, 66, 68, 69, 70, 72, 73, 74, 76, 79, 81, 84, 87, 89, 91, 93, 95, 97, 99, 101, 103, 104, 105, 106, 107, 108, 109, 112, 115, 118, 121, 124, 126, 128, 128, 129, 129, 129, 129, 130, 132, 134, 137, 139, 141, 142, 143, 143, 143, 143, 144, 147, 150, 152, 155, 158, 160, 161, 163, 165, 166, 167, 169, 170, 172, 174, 177, 181, 185, 189, 192, 192, 191, 188, 184, 180, 175, 170, 165, 160, 154, 147, 141, 136, 132, 129, 126, 124, 121, 119, 117, 115, 115, 116, 116, 117, 117, 115, 114, 112, 110, 109, 108, 108, 108, 108, 107, 106, 105, 104, 103, 101, 99, 97, 95, 92, 91, 89, 88, 86, 85, 83, 80, 78, 75, 72, 70, 69, 67, 66, 65, 64, 63, 61, 58, 56, 53, 51, 49, 48, 48, 47, 47, 46, 46, 45, 44, 43, 43, 42, 42, 41, 41, 39, 38, 37, 36, 36, 37, 38, 39, 39, 39, 38, 37, 36, 36, 36, 36, 35, 34, 32, 30, 28, 26, 24, 23, 22, 20, 19, 16, 14, 12, 10, 9, 8, 8, 7, 6, 6, 5, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
"peakG": [52, 50, 47, 41, 33, 23, 15, 11, 10, 10, 10, 9, 7, 5, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 8, 11, 14, 17, 22, 28, 36, 45, 55, 66, 77, 89, 100, 111, 121, 132, 143, 154, 165, 174, 182, 186, 188, 186, 181, 174, 166, 156, 146, 135, 124, 111, 98, 86, 73, 61, 50, 41, 33, 26, 21, 18, 15, 14, 12, 11, 9, 7, 6, 5, 4, 4, 5, 6, 7, 8, 10, 13, 18, 25, 34, 47, 62, 80, 101, 126, 154, 186, 220, 256, 292, 326, 356, 382, 403, 418, 426, 427, 420, 405, 382, 352, 317, 278, 238, 199, 163, 131, 104, 81, 62, 47, 35, 25, 18, 12, 9, 7, 6, 5, 5, 4, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 2, 2, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 7, 14, 25, 40, 59, 82, 110, 144, 185, 232, 283, 334, 380, 417, 442, 454, 452, 438, 413, 380, 339, 293, 245, 197, 152, 113, 80, 54, 35, 22, 14, 11, 12, 17, 25, 38, 54, 76, 102, 133, 167, 204, 240, 272, 299, 317, 326, 326, 316, 300, 281, 262, 248, 243, 249, 268, 300, 344, 397, 454, 510, 559, 597, 618, 620, 605, 574, 532, 486, 442, 406, 383, 376, 384, 407, 439, 475, 507, 530, 538, 531, 507, 467, 416, 356, 293, 231, 174, 126, 87, 59, 39, 26, 18, 13, 11, 9, 9, 10, 10, 11, 12, 12, 12, 10, 9, 8, 6, 5, 3, 2, 0, 0, 0, 3, 13, 32, 61, 105, 163, 234, 316, 403, 487, 560, 613, 640, 637, 606, 550, 477, 393, 307, 227, 157, 100, 58, 30, 14, 5, 2, 2, 3, 4, 6, 7, 8, 9, 9, 9, 8, 7, 7, 7, 8, 8, 9, 9, 8, 7, 5, 3, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 16, 44, 90, 156, 240, 339, 445, 548, 637, 700, 729, 718, 669, 589, 488, 381, 278, 189, 118, 67, 34, 14, 3, 0, 0, 0, 1, 3, 5, 6, 8, 10, 11, 12, 13, 13, 12, 11, 9, 7, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 6, 7, 8, 8, 9, 9, 8, 8, 8, 7, 7, 6, 6, 6, 6, 6, 6, 5, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 10, 29, 61, 109, 171, 243, 317, 384, 434, 460, 457, 425, 370, 300, 225, 154, 95, 51, 22, 6, 0, 0, 0, 0, 1, 1, 1, 2, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 9, 39, 95, 182, 296, 427, 558, 671, 748, 778, 756, 687, 581, 456, 329, 215, 123, 58, 19, 1, 0, 0, 2, 2, 0, 0, 2, 27, 79, 163, 280, 420, 569, 705, 809, 864, 862, 802, 696, 559, 413, 276, 163, 81, 30, 5, 0, 0, 2, 5, 7, 9, 10, 12, 13, 15, 15, 16, 17, 18, 19, 20, 20, 19, 17, 16, 14, 15, 16, 19, 21, 23, 23, 22, 19, 17, 16, 15, 15, 16, 16, 16, 15, 15, 14, 14, 14, 14, 12, 10, 7, 5, 3, 2, 1, 0, 0, 0, 13, 41, 89, 158, 244, 336, 420, 484, 517, 513, 474, 408, 325, 239, 160, 95, 47, 17, 2, 0, 0, 2, 4, 2, 0, 0, 6, 44, 121, 246, 412, 606, 798, 959, 1060, 1084, 1025, 895, 718, 525, 346, 207, 126, 106, 145, 229, 339, 453, 552, 615, 631, 598, 520, 415, 304, 213, 166, 177, 250, 377, 538, 702, 839, 921, 930, 864, 735, 571, 405, 272, 197, 195, 265, 391, 544, 694, 809, 866, 852, 772, 642, 490, 350, 255, 229, 283, 409, 582, 768, 926, 1023, 1040, 975, 842, 667, 482, 314, 179, 86, 31, 6, 0, 2, 8, 14, 19, 21, 23, 22, 20, 18, 15, 12, 7, 2, 0, 0, 17, 60, 138, 252, 394, 547, 689, 795, 845, 829, 751, 623, 469, 316, 184, 88, 29, 3, 0, 0, 3, 5, 5, 5, 6, 8, 11, 12, 11, 9, 7, 6, 5, 5, 6, 6, 6, 6, 8, 10, 12, 14, 16, 17, 16, 15, 15, 15, 17, 18, 19, 16, 12, 8, 5, 4, 5, 4, 1, 0, 0, 19, 69, 157, 284, 434, 587, 713, 787, 794, 732, 614, 463, 310, 177, 81, 24, 0, 0, 0, 4, 4, 2, 1, 1, 3, 6, 8, 9, 9, 7, 6, 4, 4, 4, 4, 4, 3, 3, 2, 2, 2, 2, 2, 3, 4, 4, 6, 7, 9, 9, 9, 8, 5, 1, 0, 0, 0, 2, 3, 1, 0, 0, 10, 43, 105, 194, 303, 415, 511, 570, 579, 535, 444, 326, 206, 112, 69, 95, 192, 351, 547, 747, 911, 1008, 1018, 936, 779, 578, 375, 212, 125, 134, 240, 423, 646, 865, 1033, 1117, 1099, 985, 801, 583, 373, 201, 84, 21, 0, 0, 2, 5, 4, 3, 5, 10, 17, 22, 23, 20, 16, 14, 11, 8, 2, 0, 0, 19, 77, 181, 327, 498, 665, 795, 859, 842, 749, 601, 429, 266, 136, 51, 9, 0, 0, 4, 5, 3, 0, 0, 0, 4, 9, 11, 12, 11, 9, 7, 6, 5, 5, 4, 3, 3, 3, 2, 2, 2, 2, 1, 1, 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, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 6, 8, 9, 11, 12, 13, 14, 15, 16, 16, 17, 17, 17, 16, 15, 15, 14, 14, 15, 15, 16, 15, 15, 13, 12, 11, 11, 12, 13, 15, 16, 16, 14, 12, 10, 8, 7, 6, 6, 6, 6, 6, 5, 5, 4, 4, 5, 6, 9, 11, 13, 15, 16, 16, 15, 13, 12, 11, 11, 12, 14, 16, 17, 14, 10, 5, 2, 2, 5, 8, 7, 1, 0, 0, 27, 96, 209, 358, 519, 662, 755, 775, 719, 601, 447, 291, 158, 66, 15, 0, 0, 5, 10, 11, 11, 11, 13, 17, 23, 27, 30, 31, 31, 30, 29, 27, 23, 17, 8, 0, 0, 13, 51, 120, 215, 328, 440, 530, 578, 574, 518, 423, 309, 197, 105, 43, 9, 0, 0, 3, 7, 9, 9, 10, 11, 13, 14, 13, 12, 10, 7, 5, 3, 3, 5, 8, 11, 13, 12, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 7, 2, 0, 0, 3, 9, 10, 3, 0, 0, 35, 128, 285, 497, 729, 936, 1070, 1100, 1018, 845, 622, 398, 213, 87, 19, 0, 0, 0, 2, 7, 10, 9, 2, 0, 0, 35, 149, 353, 634, 954, 1249, 1451, 1511, 1413, 1180, 863, 530, 247, 61, 0, 48, 194, 392, 596, 761, 852, 854, 769, 621, 444, 273, 137, 49, 6, 0, 0, 7, 11, 10, 9, 10, 14, 20, 27, 31, 32, 31, 28, 24, 21, 18, 16, 14, 13, 13, 13, 12, 11, 10, 8, 7, 7, 7, 9, 12, 13, 13, 11, 8, 5, 4, 6, 9, 8, 3, 0, 0, 21, 83, 187, 327, 481, 617, 704, 719, 661, 543, 394, 246, 126, 46, 6, 0, 0, 6, 9, 8, 6, 5, 8, 12, 15, 18, 18, 17, 15, 14, 13, 14, 15, 17, 19, 21, 22, 23, 23, 23, 22, 20, 18, 15, 12, 10, 8, 7, 7, 8, 9, 9, 9, 9, 8, 8, 9, 10, 12, 15, 17, 19, 20, 19, 17, 15, 11, 8, 6, 4, 4, 5, 6, 8, 10, 10, 10, 9, 8, 6, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 7, 10, 11, 11, 9, 6, 3, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 4, 7, 10, 13, 13, 9, 3, 0, 0, 1, 8, 12, 8, 0, 0, 19, 96, 240, 445, 683, 904, 1055, 1095, 1007, 809, 546, 287, 102, 46, 149, 398, 745, 1115, 1422, 1594, 1592, 1421, 1126, 779, 455, 208, 58, 0, 0, 5, 17, 16, 6, 0, 0, 0, 11, 23, 32, 36, 37, 34, 31, 27, 23, 19, 15, 13, 12, 13, 15, 17, 19, 20, 19, 18, 16, 15, 14, 14, 15, 16, 16, 17, 16, 15, 13, 11, 9, 7, 6, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 6, 3, 0, 0, 0, 0, 8, 15, 13, 2, 0, 0, 54, 175, 364, 596, 824, 995, 1063, 1010, 846, 611, 356, 136, 0, 0, 79, 303, 613, 952, 1248, 1431, 1458, 1322, 1061, 741, 435, 198, 54, 0, 0, 6, 18, 17, 7, 0, 0, 0, 8, 17, 21, 21, 18, 14, 12, 11, 12, 14, 15, 16, 16, 16, 16, 16, 16, 15, 14, 13, 12, 11, 10, 9, 9, 9, 9, 9, 9, 9, 8, 7, 6, 6, 6, 5, 5, 4, 3, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 4, 5, 6, 8, 9, 10, 11, 11, 12, 11, 10, 9, 7, 6, 4, 4, 5, 7, 10, 11, 9, 4, 0, 0, 0, 5, 14, 16, 8, 0, 0, 24, 121, 292, 523, 773, 985, 1105, 1100, 972, 757, 509, 283, 117, 24, 0, 0, 9, 17, 16, 10, 5, 6, 12, 20, 26, 28, 25, 20, 15, 14, 15, 16, 14, 7, 0, 0, 11, 61, 150, 273, 410, 534, 614, 629, 576, 469, 335, 205, 103, 38, 7, 0, 0, 0, 0, 2, 13, 22, 17, 0, 0, 3, 108, 326, 655, 1045, 1413, 1666, 1735, 1602, 1301, 910, 519, 205, 15, 0, 28, 180, 378, 575, 730, 809, 795, 695, 534, 353, 191, 76, 13, 0, 0, 7, 12, 10, 5, 3, 7, 15, 25, 32, 35, 34, 31, 27, 25, 23, 23, 23, 25, 26, 28, 28, 28, 26, 24, 22, 21, 21, 23, 26, 29, 31, 32, 32, 30, 27, 23, 18, 14, 11, 10, 12, 16, 19, 18, 11, 1, 0, 0, 1, 19, 33, 28, 3, 0, 0, 112, 365, 752, 1218, 1663, 1972, 2062, 1909, 1553, 1088, 621, 245, 16, 0, 32, 234, 512, 812, 1075, 1241, 1270, 1148, 902, 592, 292, 76, 0, 53, 239, 499, 766, 974, 1074, 1043, 891, 656, 390, 156, 5, 0, 85, 319, 636, 973, 1252, 1408, 1404, 1242, 968, 651, 362, 150, 31, 0, 0, 11, 20, 16, 5, 0, 0, 3, 13, 20, 23, 21, 16, 11, 8, 7, 7, 8, 8, 7, 6, 6, 5, 5, 5, 6, 7, 8, 9, 12, 14, 16, 17, 18, 17, 16, 15, 13, 12, 11, 11, 11, 13, 14, 16, 18, 20, 21, 22, 22, 22, 21, 21, 21, 21, 21, 21, 22, 22, 22, 23, 24, 25, 27, 27, 27, 26, 24, 22, 20, 18, 17, 17, 16, 16, 16, 16, 15, 13, 12, 10, 8, 6, 4, 3, 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, 3, 6, 8, 9, 9, 9, 8, 7, 7, 8, 9, 10, 10, 10, 9, 7, 6, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 3, 2, 2, 3, 3, 5, 7, 7, 7, 4, 1, 0, 0, 0, 6, 11, 11, 3, 0, 0, 28, 107, 234, 394, 555, 677, 727, 691, 579, 422, 260, 126, 39, 0, 0, 1, 11, 14, 11, 7, 4, 5, 9, 13, 15, 14, 12, 9, 7, 7, 7, 8, 9, 8, 7, 5, 2, 1, 0, 0, 2, 3, 4, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 3, 4, 4, 5, 6, 7, 7, 7, 7, 7, 6, 4, 3, 1, 0, 0, 0, 1, 3, 4, 5, 5, 5, 5, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 4, 7, 10, 12, 11, 5, 0, 0, 0, 4, 19, 27, 19, 0, 0, 6, 112, 323, 626, 969, 1272, 1453, 1460, 1293, 999, 658, 350, 131, 15, 0, 0, 17, 25, 18, 5, 0, 0, 11, 26, 37, 41, 38, 32, 25, 20, 17, 15, 14, 12, 10, 9, 8, 8, 10, 12, 14, 16, 18, 19, 19, 19, 18, 16, 15, 13, 12, 11, 10, 9, 9, 8, 8, 7, 6, 6, 5, 6, 8, 11, 14, 16, 18, 18, 16, 14, 11, 9, 9, 9, 11, 13, 15, 17, 18, 19, 19, 19, 18, 17, 16, 15, 13, 10, 8, 5, 3, 3, 6, 14, 26, 41, 57, 69, 76, 75, 68, 55, 41, 28, 19, 13, 10, 10, 10, 10, 10, 9, 9, 8, 7, 6, 5, 4, 5, 6, 9, 12, 15, 18, 19, 18, 16, 12, 9, 7, 5, 5, 6, 8, 9, 11, 11, 11, 11, 10, 9, 8, 8, 9, 11, 14, 16, 19, 21, 22, 22, 20, 18, 16, 14, 12, 12, 12, 12, 12, 13, 14, 15, 16, 17, 18, 18, 18, 17, 17, 18, 20, 22, 24, 25, 23, 21, 18, 17, 18, 21, 20, 14, 3, 0, 0, 35, 116, 241, 392, 539, 644, 680, 635, 523, 373, 222, 102, 28, 0, 0, 4, 13, 15, 14, 12, 13, 18, 25, 31, 34, 33, 29, 24, 19, 15, 12, 10, 9, 8, 8, 7, 6, 5, 5, 5, 5, 5, 7, 10, 15, 22, 27, 27, 22, 10, 0, 0, 0, 10, 28, 34, 18, 0, 0, 36, 205, 503, 896, 1305, 1624, 1763, 1681, 1403, 1009, 604, 276, 72, 0, 0, 9, 30, 30, 16, 0, 0, 0, 2, 11, 16, 15, 10, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 7, 8, 8, 7, 6, 4, 4, 3, 3, 3, 3, 2, 2, 1, 1, 0, 0, 0, 1, 2, 5, 7, 10, 12, 13, 13, 12, 9, 7, 4, 2, 1, 1, 2, 5, 7, 8, 6, 2, 0, 0, 0, 8, 14, 14, 5, 0, 0, 27, 113, 252, 426, 595, 716, 754, 697, 563, 391, 223, 94, 19, 0, 0, 6, 13, 11, 5, 0, 0, 0, 6, 10, 11, 9, 5, 1, 0, 0, 1, 4, 7, 10, 12, 13, 12, 11, 8, 6, 3, 2, 1, 1, 2, 4, 5, 6, 4, 1, 0, 0, 0, 5, 11, 12, 5, 0, 0, 24, 96, 212, 358, 502, 609, 649, 609, 496, 336, 163, 22, 0, 6, 195, 514, 917, 1320, 1624, 1748, 1657, 1378, 990, 593, 272, 72, 0, 0, 9, 29, 29, 14, 0, 0, 0, 6, 16, 21, 19, 13, 8, 4, 4, 7, 11, 14, 16, 17, 16, 16, 16, 16, 16, 17, 17, 18, 19, 21, 25, 30, 32, 30, 22, 11, 2, 0, 6, 17, 24, 18, 1, 0, 8, 96, 269, 518, 801, 1048, 1190, 1176, 1001, 703, 366, 88, 0, 55, 365, 838, 1367, 1820, 2081, 2083, 1833, 1407, 920, 486, 180, 20, 0, 0, 25, 36, 25, 6, 0, 0, 0, 11, 20, 22, 18, 12, 7, 5, 5, 7, 10, 12, 14, 15, 15, 12, 8, 2, 0, 0, 2, 9, 14, 11, 0, 0, 0, 52, 158, 315, 496, 658, 758, 767, 683, 530, 351, 190, 74, 12, 0, 0, 0, 3, 5, 8, 10, 7, 0, 0, 0, 56, 181, 371, 597, 807, 945, 970, 874, 685, 458, 247, 94, 12, 0, 0, 11, 18, 14, 4, 0, 0, 0, 4, 8, 8, 6, 3, 0, 0, 0, 3, 5, 8, 9, 10, 10, 9, 8, 7, 6, 5, 5, 6, 7, 8, 10, 11, 10, 8, 4, 0, 0, 0, 5, 12, 15, 9, 0, 0, 5, 58, 157, 296, 449, 579, 650, 642, 558, 421, 269, 137, 46, 1, 0, 0, 8, 11, 6, 0, 0, 0, 5, 11, 15, 15, 12, 8, 6, 5, 7, 10, 14, 16, 18, 18, 16, 14, 11, 10, 9, 10, 12, 14, 16, 17, 18, 16, 13, 10, 7, 7, 9, 12, 14, 12, 4, 0, 0, 17, 68, 150, 251, 352, 426, 452, 423, 347, 246, 144, 63, 15, 0, 0, 3, 7, 6, 2, 0, 0, 2, 7, 12, 14, 13, 10, 7, 4, 3, 4, 5, 8, 10, 12, 12, 12, 11, 9, 7, 5, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 8, 9, 8, 6, 4, 3, 2, 1, 2, 2, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 6, 5, 4, 3, 1, 0, 0, 1, 2, 3, 4, 4, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 7, 9, 11, 12, 12, 10, 8, 6, 4, 3, 4, 6, 8, 10, 12, 13, 13, 13, 13, 12, 11, 10, 10, 12, 14, 18, 21, 22, 19, 15, 10, 8, 10, 14, 16, 11, 0, 0, 0, 46, 141, 280, 439, 580, 665, 669, 590, 452, 294, 154, 57, 6, 0, 0, 0, 3, 4, 6, 8, 7, 0, 0, 0, 46, 154, 322, 525, 717, 847, 877, 798, 635, 433, 244, 102, 21, 0, 0, 0, 7, 12, 15, 14, 6, 0, 0, 16, 108, 279, 521, 791, 1029, 1169, 1168, 1023, 768, 470, 203, 28, 0, 63, 246, 478, 698, 851, 896, 823, 649, 420, 196, 36, 0, 67, 263, 529, 798, 999, 1074, 998, 788, 501, 220, 31, 0, 131, 411, 761, 1086, 1298, 1343, 1216, 962, 653, 366, 155, 36, 0, 0, 0, 5, 9, 14, 19, 16, 0, 0, 0, 78, 280, 600, 992, 1367, 1626, 1692, 1547, 1234, 842, 469, 190, 33, 0, 0, 17, 31, 25, 9, 0, 0, 5, 20, 32, 37, 34, 28, 20, 15, 14, 16, 21, 28, 33, 34, 28, 16, 2, 0, 0, 10, 26, 30, 15, 0, 0, 36, 192, 461, 810, 1164, 1430, 1531, 1437, 1176, 825, 477, 206, 45, 0, 0, 9, 21, 17, 5, 0, 0, 0, 0, 0, 0, 30, 111, 243, 410, 575, 694, 731, 675, 543, 374, 213, 91, 21, 0, 0, 0, 0, 0, 3, 13, 19, 13, 0, 0, 13, 126, 342, 645, 979, 1261, 1412, 1386, 1186, 865, 508, 199, 6, 0, 61, 271, 533, 780, 952, 1006, 933, 758, 531, 308, 135, 32, 0, 0, 8, 17, 15, 6, 0, 0, 0, 7, 13, 16, 14, 10, 6, 4, 3, 4, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 6, 7, 8, 9, 10, 10, 9, 8, 7, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 9, 11, 12, 10, 5, 0, 0, 0, 4, 15, 22, 16, 0, 0, 0, 76, 230, 450, 695, 904, 1015, 996, 853, 629, 386, 182, 50, 0, 0, 4, 18, 19, 10, 0, 0, 0, 7, 16, 22, 22, 18, 14, 10, 7, 6, 5, 5, 5, 7, 10, 12, 12, 9, 2, 0, 0, 0, 11, 20, 18, 4, 0, 0, 51, 180, 379, 615, 832, 970, 988, 880, 681, 447, 236, 87, 10, 0, 0, 1, 6, 9, 12, 14, 11, 0, 0, 0, 69, 228, 471, 762, 1032, 1208, 1239, 1112, 864, 558, 271, 64, 0, 0, 122, 311, 517, 692, 793, 798, 708, 549, 364, 196, 75, 10, 0, 0, 11, 18, 18, 14, 13, 16, 24, 32, 37, 38, 35, 30, 26, 23, 21, 20, 19, 18, 16, 14, 12, 11, 11, 12, 14, 16, 18, 20, 21, 21, 20, 18, 16, 14, 12, 13, 15, 18, 21, 25, 27, 28, 27, 25, 22, 18, 15, 13, 11, 10, 10, 10, 11, 11, 11, 11, 10, 9, 7, 6, 5, 4, 3, 2, 1, 1, 1, 1, 2, 2, 3, 3, 3, 2, 2, 3, 4, 5, 6, 6, 5, 4, 3, 4, 8, 11, 12, 8, 0, 0, 0, 32, 96, 188, 294, 389, 447, 453, 403, 313, 207, 110, 40, 4, 0, 0, 6, 9, 7, 2, 0, 0, 1, 5, 7, 7, 5, 3, 2, 2, 3, 4, 5, 6, 6, 5, 4, 2, 0, 0, 1, 3, 5, 8, 9, 9, 9, 7, 5, 3, 3, 2, 3, 4, 5, 6, 6, 7, 7, 7, 7, 6, 6, 6, 5, 5, 5, 6, 6, 5, 5, 3, 2, 1, 0, 0, 0, 2, 5, 7, 9, 10, 9, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 6, 11, 13, 7, 0, 0, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 10, 64, 160, 285, 415, 514, 555, 525, 433, 307, 180, 81, 22, 0, 0, 0, 0, 0, 0, 5, 15, 19, 9, 0, 0, 30, 153, 364, 640, 921, 1134, 1217, 1146, 941, 662, 384, 166, 36, 0, 0, 10, 22, 19, 7, 0, 0, 3, 15, 26, 31, 30, 24, 17, 11, 8, 8, 9, 9, 9, 7, 5, 3, 3, 4, 6, 8, 11, 13, 14, 15, 15, 15, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 14, 11, 8, 6, 6, 10, 15, 17, 13, 4, 0, 0, 33, 108, 223, 362, 493, 585, 610, 559, 441, 283, 122, 3, 0, 43, 241, 535, 871, 1171, 1358, 1381, 1235, 964, 642, 346, 132, 18, 0, 0, 15, 23, 17, 4, 0, 0, 8, 20, 29, 30, 25, 18, 11, 6, 4, 3, 2, 2, 1, 0, 0, 0, 0, 1, 3, 6, 9, 12, 14, 15, 14, 12, 8, 2, 0, 0, 0, 7, 13, 13, 6, 0, 0, 15, 78, 185, 325, 470, 583, 634, 608, 512, 375, 231, 111, 34, 0, 0, 1, 8, 10, 5, 0, 0, 0, 1, 5, 7, 7, 6, 3, 2, 1, 1, 2, 4, 4, 4, 3, 1, 0, 0, 0, 1, 5, 9, 13, 16, 17, 17, 15, 12, 9, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 4, 5, 4, 1, 0, 0, 0, 5, 15, 19, 11, 0, 0, 13, 98, 252, 459, 677, 849, 927, 887, 741, 533, 317, 144, 36, 0, 0, 5, 16, 16, 8, 0, 0, 0, 5, 11, 14, 12, 7, 2, 1, 4, 10, 13, 9, 0, 0, 2, 47, 133, 257, 397, 519, 591, 593, 524, 405, 268, 147, 60, 13, 0, 0, 0, 0, 4, 13, 20, 16, 0, 0, 0, 76, 252, 520, 840, 1138, 1334, 1372, 1241, 980, 663, 369, 152, 30, 0, 0, 2, 8, 8, 7, 8, 6, 0, 0, 0, 48, 181, 400, 679, 960, 1173, 1256, 1186, 980, 693, 396, 154, 7, 0, 30, 158, 317, 468, 575, 615, 581, 485, 352, 217, 105, 33, 0, 0, 1, 8, 10, 8, 6, 8, 13, 20, 25, 25, 21, 14, 8, 6, 9, 14, 17, 14, 4, 0, 0, 32, 113, 238, 390, 534, 635, 664, 613, 496, 346, 200, 87, 20, 0, 0, 4, 11, 12, 10, 10, 14, 22, 29, 34, 34, 31, 25, 20, 16, 14, 13, 12, 11, 10, 8, 7, 6, 6, 5, 5, 5, 5, 5, 4, 4, 3, 3, 2, 3, 3, 5, 8, 11, 14, 16, 18, 18, 17, 15, 13, 10, 7, 5, 3, 3, 4, 6, 8, 10, 10, 10, 8, 6, 4, 3, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 5, 8, 10, 11, 10, 8, 6, 4, 3, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 4, 6, 8, 9, 10, 9, 6, 1, 0, 0, 0, 6, 12, 13, 5, 0, 0, 22, 100, 229, 394, 561, 687, 736, 694, 574, 409, 243, 110, 28, 0, 0, 4, 11, 12, 6, 2, 2, 7, 14, 20, 22, 19, 14, 8, 4, 3, 4, 6, 10, 13, 14, 15, 14, 13, 11, 11, 11, 12, 14, 16, 17, 17, 16, 16, 15, 14, 13, 12, 10, 9, 8, 8, 11, 15, 17, 16, 10, 1, 0, 0, 5, 18, 24, 16, 0, 0, 8, 107, 296, 561, 853, 1101, 1237, 1221, 1058, 795, 505, 253, 83, 0, 0, 0, 17, 22, 13, 1, 0, 0, 2, 11, 17, 18, 15, 11, 8, 6, 6, 6, 6, 7, 6, 6, 5, 5, 4, 4, 3, 2, 2, 1, 2, 3, 5, 6, 7, 6, 3, 0, 0, 0, 3, 8, 11, 7, 0, 0, 8, 58, 150, 278, 419, 539, 607, 604, 529, 405, 263, 138, 49, 4, 0, 0, 7, 11, 7, 1, 0, 0, 0, 3, 7, 8, 7, 2, 0, 0, 0, 5, 13, 16, 9, 0, 0, 17, 99, 245, 440, 646, 810, 888, 856, 725, 531, 327, 158, 49, 0, 0, 0, 7, 8, 4, 1, 0, 0, 0, 0, 2, 36, 109, 218, 350, 474, 557, 575, 520, 404, 256, 114, 12, 0, 21, 139, 306, 487, 637, 719, 713, 623, 474, 308, 162, 59, 6, 0, 0, 4, 11, 13, 10, 3, 0, 0, 6, 52, 139, 265, 411, 544, 629, 639, 567, 429, 258, 99, 0, 0, 77, 262, 504, 748, 933, 1012, 965, 809, 588, 359, 170, 50, 0, 0, 3, 15, 15, 8, 0, 0, 4, 13, 21, 24, 22, 17, 12, 9, 8, 10, 13, 15, 16, 15, 14, 12, 11, 10, 9, 10, 11, 13, 15, 15, 15, 14, 12, 10, 8, 7, 6, 6, 6, 5, 5, 5, 5, 6, 5, 2, 0, 0, 0, 4, 14, 20, 14, 0, 0, 5, 84, 239, 459, 707, 923, 1050, 1052, 927, 709, 453, 219, 52, 0, 0, 96, 244, 406, 544, 625, 632, 564, 442, 298, 166, 69, 14, 0, 0, 0, 5, 7, 7, 6, 0, 0, 0, 13, 70, 173, 316, 475, 613, 693, 693, 613, 474, 313, 168, 64, 9, 0, 0, 7, 11, 9, 3, 0, 0, 0, 3, 6, 6, 5, 4, 4, 4, 4, 4, 4, 2, 1, 0, 0, 0, 0, 0, 1, 3, 4, 6, 7, 8, 8, 7, 5, 3, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 5, 5, 6, 6, 7, 8, 10, 11, 11, 12, 11, 11, 10, 9, 8, 8, 8, 9, 10, 12, 12, 12, 11, 9, 7, 6, 5, 5, 6, 7, 9, 10, 11, 12, 12, 12, 10, 9, 7, 6, 5, 5, 4, 3, 3, 2, 1, 0, 0, 0, 0, 0, 3, 6, 11, 15, 18, 20, 20, 18, 15, 12, 9, 8, 7, 7, 6, 6, 5, 3, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 3, 2, 0, 0, 0, 0, 2, 7, 9, 5, 0, 0, 7, 51, 132, 244, 366, 469, 525, 518, 450, 340, 218, 112, 38, 2, 0, 0, 6, 8, 6, 3, 3, 7, 12, 18, 21, 20, 17, 14, 11, 9, 8, 8, 7, 5, 3, 2, 1, 0, 1, 2, 3, 4, 4, 4, 4, 5, 6, 7, 7, 5, 2, 0, 0, 0, 4, 11, 13, 6, 0, 0, 18, 89, 213, 377, 546, 679, 739, 708, 595, 432, 263, 123, 35, 0, 0, 2, 11, 11, 6, 0, 0, 2, 9, 15, 18, 17, 13, 9, 6, 5, 5, 5, 4, 3, 1, 0, 0, 0, 1, 2, 4, 7, 9, 11, 13, 14, 13, 9, 3, 0, 0, 0, 7, 16, 18, 8, 0, 0, 30, 136, 318, 556, 805, 1003, 1095, 1054, 889, 642, 376, 153, 17, 0, 51, 177, 322, 443, 511, 511, 449, 346, 229, 125, 51, 10, 0, 0, 5, 7, 5, 0, 0, 0, 2, 6, 9, 10, 9, 7, 6, 5, 6, 8, 10, 11, 12, 11, 9, 7, 4, 3, 2, 2, 2, 3, 3, 2, 2, 1, 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, 4, 7, 10, 13, 15, 14, 12, 10, 7, 5, 4, 4, 5, 6, 7, 7, 6, 5, 4, 4, 3, 3, 3, 3, 3, 4, 5, 6, 7, 8, 8, 7, 6, 4, 3, 3, 4, 4, 5, 4, 4, 2, 1, 1, 1, 2, 3, 5, 6, 7, 7, 7, 6, 6, 6, 6, 6, 3, 0, 0, 0, 0, 7, 13, 12, 3, 0, 0, 37, 130, 278, 463, 647, 784, 839, 795, 665, 486, 301, 149, 50, 3, 0, 0, 2, 4, 4, 4, 4, 1, 0, 0, 9, 66, 175, 334, 519, 690, 803, 828, 757, 610, 426, 248, 111, 28, 0, 0, 4, 13, 15, 13, 12, 14, 20, 26, 29, 29, 25, 20, 16, 14, 14, 15, 16, 16, 15, 12, 10, 8, 7, 8, 9, 11, 12, 13, 12, 10, 7, 5, 4, 3, 5, 7, 11, 14, 17, 19, 19, 18, 15, 13, 11, 10, 10, 11, 12, 13, 14, 15, 17, 20, 22, 22, 19, 12, 5, 3, 6, 14, 20, 17, 3, 0, 0, 56, 189, 398, 656, 911, 1101, 1176, 1115, 935, 684, 424, 209, 68, 1, 0, 0, 13, 16, 9, 1, 0, 3, 12, 22, 26, 26, 21, 16, 12, 12, 14, 18, 21, 22, 22, 19, 17, 14, 13, 12, 13, 14, 14, 15, 14, 13, 11, 9, 8, 7, 7, 8, 10, 12, 14, 15, 16, 16, 16, 14, 12, 9, 7, 6, 5, 5, 6, 7, 8, 9, 8, 7, 6, 5, 4, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 1, 2, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 8, 9, 9, 7, 5, 3, 1, 0, 0, 0, 0, 1, 2, 5, 7, 10, 11, 9, 5, 0, 0, 0, 6, 12, 13, 5, 0, 0, 30, 121, 274, 471, 676, 840, 921, 897, 776, 590, 386, 207, 82, 14, 0, 0, 5, 9, 7, 3, 0, 0, 0, 0, 7, 33, 84, 158, 248, 336, 400, 424, 401, 337, 248, 157, 80, 28, 3, 0, 0, 3, 5, 5, 5, 8, 12, 17, 20, 20, 17, 13, 10, 8, 7, 9, 11, 12, 13, 13, 12, 11, 9, 7, 5, 4, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 4, 8, 10, 12, 12, 10, 7, 5, 2, 2, 3, 6, 9, 13, 15, 16, 16, 14, 12, 10, 8, 6, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 3, 4, 6, 8, 10, 12, 13, 13, 11, 9, 6, 4, 4, 5, 7, 9, 12, 15, 18, 20, 22, 21, 17, 10, 2, 0, 0, 3, 12, 16, 11, 0, 0, 13, 93, 245, 460, 703, 923, 1066, 1091, 991, 790, 534, 284, 92, 0, 0, 100, 263, 446, 606, 706, 724, 657, 521, 349, 180, 54, 1, 33, 141, 298, 465, 601, 673, 666, 585, 453, 304, 169, 71, 16, 0, 0, 4, 8, 6, 2, 0, 0, 1, 5, 8, 9, 9, 8, 8, 8, 10, 12, 14, 16, 16, 15, 13, 10, 7, 4, 3, 5, 8, 8, 4, 0, 0, 8, 46, 117, 216, 327, 428, 494, 507, 465, 379, 270, 163, 77, 23, 0, 0, 0, 5, 6, 3, 0, 0, 0, 4, 7, 9, 9, 8, 7, 6, 6, 6, 7, 7, 8, 7, 7, 7, 7, 6, 6, 5, 4, 4, 3, 2, 2, 1, 0, 0, 0, 1, 2, 3, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 8, 10, 11, 11, 10, 8, 6, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 3, 3, 3, 4, 6, 7, 8, 9, 10, 9, 9, 8, 7, 6, 6, 6, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 4, 4, 4, 4, 3, 4, 5, 8, 11, 13, 15, 16, 15, 13, 11, 8, 7, 8, 10, 15, 18, 19, 14, 4, 0, 0, 26, 89, 188, 314, 444, 550, 605, 596, 525, 411, 282, 164, 75, 22, 0, 0, 0, 2, 7, 10, 9, 2, 0, 0, 25, 106, 246, 437, 648, 832, 946, 961, 871, 702, 495, 296, 140, 43, 0, 0, 2, 11, 13, 10, 6, 5, 7, 11, 14, 14, 13, 10, 8, 9, 10, 13, 15, 15, 15, 13, 12, 10, 9, 9, 10, 10, 10, 10, 9, 8, 7, 6, 6, 6, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 8, 9, 10, 10, 8, 6, 4, 3, 2, 4, 6, 9, 12, 15, 16, 16, 14, 11, 7, 4, 2, 2, 2, 4, 6, 9, 10, 12, 12, 11, 10, 9, 7, 6, 6, 6, 5, 5, 4, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 6, 7, 9, 9, 8, 5, 1, 0, 0, 0, 6, 10, 7, 0, 0, 1, 42, 127, 258, 416, 572, 690, 740, 710, 607, 458, 299, 160, 63, 11, 0, 0, 5, 8, 6, 1, 0, 0, 0, 1, 2, 3, 2, 2, 2, 4, 6, 8, 10, 12, 12, 11, 8, 5, 1, 0, 0, 1, 4, 6, 4, 0, 0, 5, 38, 99, 189, 292, 390, 460, 483, 454, 381, 281, 178, 91, 33, 3, 0, 0, 4, 5, 4, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 12, 11, 10, 8, 6, 4, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 3, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 3, 5, 7, 8, 8, 7, 5, 3, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 4, 6, 4, 0, 0, 6, 34, 90, 173, 273, 371, 445, 474, 447, 367, 253, 135, 50, 29, 91, 235, 439, 660, 851, 967, 983, 896, 729, 523, 322, 161, 57, 6, 0, 0, 4, 6, 5, 2, 0, 0, 0, 0, 19, 66, 145, 253, 373, 482, 554, 571, 530, 441, 324, 206, 108, 41, 7, 0, 0, 3, 5, 3, 0, 0, 0, 3, 7, 9, 10, 9, 8, 6, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 4, 6, 8, 9, 10, 11, 12, 12, 11, 8, 2, 0, 0, 16, 54, 116, 194, 277, 346, 386, 385, 346, 277, 195, 118, 58, 20, 1, 0, 0, 0, 3, 7, 8, 5, 0, 0, 8, 62, 168, 327, 519, 708, 852, 916, 885, 766, 588, 392, 219, 93, 21, 0, 0, 4, 9, 7, 1, 0, 0, 3, 9, 14, 16, 14, 12, 9, 8, 8, 9, 10, 11, 12, 13, 13, 11, 9, 6, 4, 3, 4, 6, 5, 2, 0, 0, 11, 47, 110, 197, 296, 386, 448, 467, 439, 371, 279, 183, 100, 42, 9, 0, 0, 1, 5, 5, 3, 0, 0, 0, 16, 52, 110, 187, 274, 354, 410, 430, 407, 347, 264, 176, 99, 42, 10, 0, 0, 2, 6, 8, 10, 11, 14, 17, 19, 20, 18, 16, 14, 12, 12, 13, 15, 17, 18, 19, 19, 19, 19, 19, 20, 21, 22, 23, 24, 25, 26, 27, 26, 22, 17, 11, 7, 8, 11, 12, 9, 0, 0, 2, 46, 141, 289, 474, 666, 824, 910, 903, 805, 637, 440, 256, 123, 64, 83, 166, 285, 408, 503, 547, 531, 458, 348, 228, 128, 73, 77, 140, 247, 370, 479, 548, 561, 517, 427, 314, 201, 107, 43, 9, 0, 0, 3, 6, 7, 9, 12, 17, 22, 25, 23, 18, 12, 7, 6, 8, 9, 6, 0, 0, 5, 48, 136, 269, 431, 594, 724, 790, 777, 688, 546, 381, 227, 109, 35, 1, 0, 0, 5, 6, 4, 3, 5, 9, 15, 20, 21, 18, 14, 9, 6, 5, 6, 8, 10, 11, 12, 12, 11, 9, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 8, 9, 9, 9, 7, 6, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 3, 2, 1, 0, 0, 1, 1, 2, 3, 3, 3, 3, 3, 4, 5, 7, 8, 8, 8, 8, 9, 9, 10, 9, 7, 4, 1, 2, 5, 9, 9, 5, 0, 0, 16, 76, 183, 335, 510, 674, 792, 835, 792, 673, 505, 327, 180, 93, 81, 142, 254, 387, 505, 581, 597, 551, 457, 338, 217, 117, 48, 11, 0, 0, 2, 4, 3, 0, 0, 0, 1, 5, 8, 10, 10, 9, 7, 5, 4, 4, 4, 5, 6, 7, 7, 6, 5, 4, 3, 3, 3, 4, 5, 6, 5, 4, 2, 1, 0, 0, 1, 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, 0, 1, 3, 5, 7, 8, 8, 7, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 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, 1, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 5, 6, 8, 8, 9, 8, 7, 5, 4, 4, 4, 4, 6, 7, 9, 10, 10, 10, 10, 9, 9, 9, 9, 10, 11, 12, 12, 12, 11, 11, 11, 11, 12, 12, 11, 10, 8, 6, 4, 3, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 2, 0, 0, 5, 29, 74, 139, 218, 297, 362, 398, 399, 364, 301, 224, 147, 82, 36, 10, 0, 0, 0, 2, 2, 1, 0, 1, 2, 4, 5, 5, 4, 3, 2, 1, 2, 2, 4, 5, 6, 7, 7, 6, 6, 6, 6, 6, 7, 8, 8, 8, 7, 6, 6, 5, 6, 7, 8, 10, 11, 12, 12, 11, 9, 7, 5, 4, 3, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 5, 6, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 9, 10, 11, 12, 12, 11, 11, 10, 9, 9, 8, 7, 7, 6, 6, 6, 6, 6, 6, 7, 8, 9, 10, 11, 11, 10, 9, 7, 5, 4, 2, 1, 1, 2, 2, 3, 4, 4, 5, 5, 5, 4, 4, 4, 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, 1, 2, 3, 4, 3, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 17, 46, 93, 152, 216, 272, 308, 315, 289, 236, 169, 104, 61, 55, 97, 184, 303, 433, 547, 622, 640, 597, 504, 380, 251, 141, 61, 16, 0, 0, 1, 4, 4, 2, 2, 4, 8, 12, 13, 13, 11, 9, 8, 9, 11, 13, 14, 14, 12, 11, 9, 7, 6, 5, 4, 3, 2, 2, 2, 3, 4, 4, 3, 2, 1, 0, 1, 2, 2, 1, 0, 0, 6, 25, 61, 113, 178, 244, 301, 335, 340, 314, 263, 197, 129, 72, 31, 8, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 3, 4, 4, 3, 3, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 3, 4, 5, 6, 7, 7, 6, 4, 1, 0, 0, 11, 38, 82, 143, 212, 279, 333, 362, 360, 328, 272, 202, 133, 74, 32, 8, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 3, 3, 2, 1, 0, 0, 0, 0, 1, 2, 4, 5, 6, 6, 4, 2, 1, 1, 2, 3, 2, 0, 0, 2, 19, 58, 122, 207, 305, 398, 467, 499, 484, 426, 338, 240, 157, 111, 113, 167, 259, 370, 475, 550, 578, 554, 483, 382, 269, 166, 85, 33, 6, 0, 0, 1, 3, 3, 4, 7, 11, 16, 18, 19, 17, 14, 11, 8, 6, 5, 3, 2, 2, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 6, 29, 72, 137, 217, 302, 376, 425, 437, 410, 350, 269, 187, 120, 85, 89, 131, 201, 283, 360, 413, 432, 413, 359, 284, 200, 123, 63, 24, 4, 0, 0, 1, 2, 1, 0, 0, 0, 2, 4, 5, 6, 6, 6, 7, 8, 10, 11, 11, 11, 9, 8, 7, 6, 5, 5, 5, 5, 5, 6, 7, 8, 8, 7, 5, 3, 2, 1, 1, 1, 0, 0, 1, 13, 41, 87, 150, 225, 300, 362, 399, 402, 371, 311, 235, 157, 89, 40, 11, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 3, 6, 10, 13, 14, 14, 12, 8, 4, 2, 2, 3, 4, 2, 0, 0, 9, 46, 116, 221, 353, 492, 617, 703, 736, 708, 627, 507, 372, 242, 135, 60, 18, 0, 0, 0, 2, 1, 0, 0, 2, 5, 8, 10, 9, 7, 5, 4, 4, 3, 1, 0, 0, 7, 35, 89, 172, 281, 402, 518, 606, 650, 640, 578, 477, 358, 247, 165, 129, 143, 200, 285, 377, 453, 497, 499, 460, 387, 295, 201, 119, 58, 21, 3, 0, 0, 1, 1, 1, 0, 1, 3, 5, 7, 9, 9, 9, 8, 8, 9, 9, 10, 10, 10, 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, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 27, 58, 101, 153, 207, 255, 288, 302, 291, 260, 212, 156, 102, 56, 25, 6, 0, 0, 0, 3, 5, 7, 8, 10, 11, 11, 11, 10, 9, 9, 10, 11, 14, 16, 18, 19, 19, 18, 14, 11, 7, 5, 3, 2, 1, 0, 0, 5, 25, 62, 118, 192, 273, 350, 410, 442, 440, 404, 341, 262, 181, 109, 55, 21, 3, 0, 0, 1, 2, 2, 2, 3, 5, 8, 9, 10, 9, 7, 5, 4, 4, 5, 6, 8, 8, 8, 8, 6, 5, 4, 3, 4, 4, 5, 5, 4, 3, 2, 1, 1, 1, 2, 3, 4, 5, 6, 6, 7, 7, 7, 7, 6, 4, 2, 1, 1, 1, 2, 4, 5, 6, 5, 5, 3, 2, 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, 2, 2, 3, 3, 4, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 3, 4, 5, 5, 5, 4, 3, 2, 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, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 3, 5, 6, 8, 9, 11, 12, 12, 12, 11, 10, 7, 5, 2, 0, 0, 1, 7, 20, 41, 73, 115, 163, 211, 253, 280, 288, 274, 240, 194, 142, 93, 53, 25, 8, 1, 0, 3, 8, 14, 18, 22, 24, 24, 23, 21, 19, 16, 13, 10, 7, 5, 4, 7, 17, 37, 69, 112, 163, 217, 264, 296, 308, 296, 262, 214, 165, 128, 116, 137, 192, 275, 372, 465, 536, 571, 563, 515, 435, 337, 237, 149, 80, 35, 10, 0, 0, 0, 1, 2, 3, 5, 7, 10, 12, 12, 12, 10, 9, 8, 8, 8, 8, 8, 8, 8, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 1, 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, 1, 2, 2, 3, 2, 2, 2, 1, 2, 3, 4, 5, 5, 5, 4, 3, 2, 2, 3, 4, 5, 6, 7, 6, 5, 4, 2, 0, 0, 0, 0, 1, 2, 3, 5, 5, 6, 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5, 6, 5, 5, 4, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 4, 4, 5, 5, 6, 7, 7, 8, 7, 5, 4, 2, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 7, 7, 6, 5, 3, 2, 1, 1, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 4, 5, 6, 6, 6, 5, 5, 5, 4, 4, 1, 0, 0, 5, 26, 67, 129, 209, 299, 387, 459, 505, 516, 492, 437, 359, 271, 185, 111, 57, 22, 4, 0, 0, 0, 2, 5, 7, 11, 15, 18, 20, 20, 18, 16, 13, 11, 10, 9, 9, 12, 20, 34, 59, 93, 138, 189, 240, 284, 314, 323, 310, 277, 235, 196, 175, 184, 228, 308, 412, 523, 621, 689, 711, 685, 613, 509, 388, 269, 166, 88, 37, 9, 0, 0, 2, 6, 10, 13, 15, 18, 19, 20, 19, 18, 15, 13, 11, 10, 10, 10, 11, 11, 11, 11, 10, 10, 9, 9, 9, 10, 11, 12, 14, 15, 17, 17, 17, 17, 16, 13, 11, 8, 8, 11, 22, 42, 73, 115, 165, 218, 266, 302, 320, 317, 294, 253, 202, 148, 97, 56, 27, 9, 1, 0, 0, 0, 1, 1, 2, 4, 5, 6, 7, 7, 6, 4, 2, 1, 0, 0, 1, 7, 18, 38, 66, 103, 146, 192, 235, 268, 285, 284, 263, 227, 186, 150, 131, 137, 169, 225, 295, 366, 426, 463, 471, 446, 395, 324, 244, 166, 100, 50, 19, 3, 0, 0, 1, 2, 2, 2, 3, 3, 5, 6, 7, 8, 8, 7, 6, 6, 9, 17, 34, 62, 101, 151, 205, 257, 300, 325, 329, 312, 276, 226, 171, 118, 73, 38, 16, 4, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 3, 3, 3, 4, 6, 7, 8, 8, 7, 6, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 5, 4, 3, 3, 4, 4, 5, 6, 6, 6, 6, 6, 6, 5, 5, 4, 2, 1, 2, 7, 18, 39, 70, 111, 160, 212, 261, 300, 323, 325, 306, 270, 226, 184, 157, 154, 179, 228, 294, 362, 420, 455, 461, 438, 391, 326, 254, 182, 119, 68, 32, 11, 1, 0, 0, 0, 0, 2, 15, 44, 95, 167, 256, 354, 447, 522, 566, 572, 541, 477, 391, 297, 206, 128, 70, 31, 9, 0, 0, 0, 3, 7, 10, 13, 15, 16, 16, 14, 13, 11, 9, 9, 9, 10, 10, 11, 11, 10, 9, 8, 6, 5, 4, 4, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 3, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 9, 11, 11, 11, 10, 9, 8, 7, 6, 4, 2, 0, 0, 4, 19, 49, 96, 161, 238, 322, 401, 464, 503, 510, 486, 436, 370, 304, 252, 225, 230, 264, 321, 390, 455, 504, 527, 519, 480, 415, 334, 247, 166, 98, 49, 19, 4, 0, 0, 0, 0, 6, 23, 57, 111, 183, 268, 359, 445, 513, 556, 566, 542, 488, 412, 324, 236, 156, 92, 47, 19, 4, 0, 0, 0, 1, 2, 2, 3, 5, 6, 7, 7, 7, 6, 6, 7, 10, 16, 27, 44, 67, 95, 127, 159, 188, 209, 220, 219, 205, 181, 148, 112, 76, 46, 23, 8, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 3, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 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, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 9, 10, 11, 12, 12, 11, 10, 8, 7, 5, 4, 3, 1, 0, 0, 5, 24, 59, 113, 185, 268, 355, 434, 496, 530, 534, 508, 454, 382, 301, 220, 148, 89, 47, 20, 5, 0, 0, 0, 2, 4, 6, 7, 8, 8, 7, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 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, 1, 5, 14, 29, 50, 76, 106, 137, 166, 188, 200, 202, 194, 177, 157, 138, 127, 130, 151, 190, 244, 307, 368, 418, 448, 454, 433, 389, 328, 259, 189, 126, 75, 38, 15, 3, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 8, 10, 11, 12, 13, 13, 14, 14, 14, 13, 12, 11, 9, 8, 7, 7, 8, 8, 8, 8, 8, 7, 7, 6, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 2, 12, 31, 63, 111, 172, 244, 320, 390, 447, 483, 493, 477, 439, 386, 328, 277, 241, 228, 239, 270, 314, 360, 396, 415, 411, 383, 337, 279, 216, 156, 104, 63, 33, 14, 4, 0, 0, 3, 6, 10, 13, 15, 16, 15, 13, 9, 6, 3, 2, 6, 14, 31, 59, 102, 161, 235, 321, 411, 494, 559, 597, 600, 570, 511, 433, 345, 258, 181, 118, 69, 36, 15, 4, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 5, 4, 3, 2, 1, 0, 0, 0, 1, 2, 3, 4, 4, 5, 7, 9, 13, 20, 31, 48, 72, 102, 138, 177, 213, 244, 263, 267, 257, 234, 201, 162, 123, 88, 58, 35, 19, 8, 3, 1, 3, 7, 16, 30, 50, 79, 115, 159, 207, 254, 295, 324, 338, 333, 311, 274, 228, 178, 129, 87, 53, 29, 13, 4, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 3, 5, 9, 15, 24, 39, 59, 86, 119, 156, 192, 224, 246, 255, 250, 232, 202, 166, 128, 92, 60, 35, 17, 6, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 6, 6, 5, 4, 3, 2, 2, 3, 4, 5, 6, 7, 8, 8, 9, 9, 8, 7, 6, 4, 2, 1, 0, 0, 0, 9, 28, 61, 110, 173, 248, 328, 405, 472, 520, 543, 537, 504, 448, 374, 292, 211, 140, 83, 43, 18, 4, 0, 0, 0, 0, 2, 3, 4, 6, 7, 7, 6, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 4, 6, 7, 7, 7, 7, 6, 5, 4, 3, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 3, 4, 4, 4, 3, 3, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 4, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 3, 4, 5, 6, 7, 6, 5, 4, 3, 2, 2, 3, 5, 10, 19, 33, 53, 81, 115, 155, 197, 235, 265, 283, 286, 275, 250, 217, 179, 139, 102, 69, 43, 23, 10, 2, 0, 0, 0, 1, 3, 4, 5, 6, 6, 5, 3, 2, 1, 2, 3, 5, 7, 7, 7, 6, 5, 4, 3, 3, 3, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 3, 3, 4, 4, 5, 5, 6, 7, 7, 7, 6, 5, 5, 5, 7, 10, 15, 22, 32, 46, 66, 92, 124, 161, 198, 232, 257, 272, 276, 270, 260, 254, 257, 274, 308, 357, 416, 477, 532, 572, 591, 584, 552, 496, 424, 342, 259, 182, 117, 67, 33, 12, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 5, 7, 8, 10, 11, 12, 13, 13, 12, 11, 9, 8, 8, 7, 6, 5, 4, 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, 1, 2, 4, 5, 6, 7, 7, 7, 6, 5, 5, 4, 4, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 7, 7, 7, 8, 8, 10, 11, 13, 13, 13, 13, 12, 10, 9, 8, 8, 8, 9, 9, 10, 10, 9, 9, 8, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 7, 7, 6, 5, 4, 3, 3, 3, 3, 2, 2, 1, 1, 0, 0, 1, 1, 2, 3, 3, 2, 2, 1, 1, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 7, 11, 16, 25, 36, 52, 71, 94, 119, 144, 166, 183, 193, 194, 186, 170, 148, 122, 96, 72, 51, 34, 21, 13, 9, 8, 11, 17, 28, 43, 64, 91, 122, 156, 191, 223, 250, 269, 277, 273, 258, 234, 201, 165, 128, 93, 62, 38, 20, 8, 2, 2, 10, 26, 54, 93, 145, 208, 279, 353, 425, 489, 539, 568, 575, 556, 513, 450, 375, 295, 218, 152, 98, 58, 31, 15, 5, 1, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 6, 6, 7, 6, 6, 6, 5, 5, 4, 4, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 3, 3, 3, 4, 5, 5, 5, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 4, 4, 5, 5, 4, 4, 3, 3, 3, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 5, 5, 6, 6, 6, 5, 4, 3, 2, 2, 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, 1, 2, 2, 3, 3, 2, 2, 2, 2, 3, 4, 4, 4, 3, 3, 2, 2, 2, 3, 4, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 2, 2, 1, 1, 1, 1, 2, 2, 2, 3, 4, 5, 5, 5, 5, 4, 4, 4, 5, 6, 6, 7, 7, 6, 5, 3, 2, 2, 2, 3, 4, 5, 5, 6, 7, 7, 8, 9, 9, 10, 10, 10, 10, 9, 8, 6, 5, 3, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 3, 3, 4, 6, 10, 14, 21, 28, 39, 51, 66, 83, 99, 113, 123, 128, 128, 124, 114, 102, 88, 74, 59, 46, 36, 28, 23, 20, 19, 19, 21, 25, 32, 43, 59, 80, 104, 129, 154, 176, 194, 205, 210, 207, 196, 179, 157, 132, 107, 82, 60, 42, 28, 17, 10, 5, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 4, 5, 6, 6, 7, 8, 10, 12, 13, 15, 17, 20, 26, 37, 55, 82, 118, 164, 217, 276, 337, 394, 444, 482, 504, 510, 499, 475, 443, 410, 381, 362, 355, 362, 379, 401, 423, 438, 441, 429, 403, 363, 313, 260, 206, 156, 113, 79, 53, 37, 30, 30, 37, 53, 76, 110, 153, 205, 264, 326, 384, 434, 470, 489, 491, 475, 442, 398, 344, 286, 227, 172, 124, 86, 58, 40, 30, 25, 22, 20, 18, 17, 15, 14, 14, 14, 15, 16, 17, 18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 17, 18, 19, 22, 27, 36, 49, 66, 89, 115, 144, 175, 205, 233, 256, 271, 277, 272, 257, 234, 205, 172, 138, 107, 80, 58, 42, 31, 24, 22, 23, 28, 38, 53, 75, 102, 133, 166, 196, 222, 241, 252, 254, 248, 234, 213, 187, 156, 124, 94, 67, 45, 29, 19, 12, 8, 5, 3, 2, 1, 1, 2, 2, 3, 4, 4, 5, 5, 6, 6, 7, 8, 9, 10, 11, 10, 10, 9, 7, 7, 7, 8, 9, 9, 10, 10, 9, 9, 9, 10, 10, 11, 11, 11, 11, 11, 11, 12, 12, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 7, 6, 6, 6, 7, 10, 15, 23, 35, 51, 70, 92, 117, 142, 168, 191, 209, 222, 228, 226, 217, 201, 179, 155, 129, 103, 79, 59, 43, 31, 23, 20, 20, 25, 34, 47, 64, 86, 112, 140, 170, 201, 229, 255, 275, 287, 293, 291, 285, 278, 272, 272, 279, 294, 314, 337, 360, 380, 392, 396, 391, 380, 364, 349, 337, 333, 336, 346, 360, 375, 386, 391, 388, 376, 355, 326, 289, 247, 202, 157, 115, 80, 53, 34, 23, 17, 14, 13, 13, 13, 14, 16, 19, 22, 24, 26, 27, 28, 32, 40, 54, 73, 98, 125, 153, 180, 204, 225, 241, 253, 259, 257, 247, 229, 204, 175, 145, 116, 91, 69, 52, 40, 34, 34, 41, 57, 81, 112, 151, 196, 244, 294, 343, 386, 421, 445, 455, 452, 437, 412, 382, 351, 323, 303, 292, 290, 295, 304, 312, 315, 311, 297, 276, 247, 214, 179, 144, 112, 85, 62, 44, 31, 22, 16, 12, 10, 9, 9, 10, 12, 14, 16, 17, 17, 17, 16, 16, 15, 15, 14, 13, 12, 12, 11, 11, 11, 11, 10, 9, 7, 6, 6, 6, 6, 7, 8, 9, 10, 10, 11, 12, 12, 13, 12, 12, 11, 10, 9, 9, 9, 8, 8, 7, 6, 5, 4, 5, 5, 5, 5, 4, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 11, 17, 25, 37, 51, 68, 89, 112, 135, 158, 178, 194, 205, 211, 213, 212, 210, 209, 211, 218, 229, 246, 268, 292, 315, 336, 349, 354, 347, 330, 302, 266, 225, 183, 142, 106, 76, 52, 36, 24, 17, 13, 10, 7, 5, 3, 2, 2, 2, 4, 5, 7, 8, 8, 7, 7, 7, 7, 7, 8, 8, 9, 9, 9, 9, 9, 10, 11, 12, 12, 12, 12, 12, 12, 12, 14, 15, 16, 18, 21, 26, 35, 50, 72, 100, 135, 175, 217, 260, 302, 340, 372, 396, 408, 409, 399, 380, 357, 335, 317, 306, 303, 306, 314, 323, 331, 337, 337, 332, 319, 298, 271, 239, 204, 170, 137, 109, 84, 65, 50, 41, 37, 38, 45, 58, 76, 100, 126, 155, 182, 208, 229, 244, 253, 256, 252, 241, 224, 201, 175, 148, 120, 95, 73, 55, 41, 30, 23, 18, 14, 12, 11, 10, 9, 9, 10, 11, 14, 18, 23, 31, 40, 53, 69, 89, 114, 144, 176, 208, 239, 265, 284, 296, 300, 296, 283, 262, 234, 200, 164, 128, 96, 69, 50, 36, 27, 21, 17, 13, 11, 9, 9, 9, 9, 9, 9, 8, 6, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 4, 5, 6, 7, 8, 9, 10, 10, 10, 10, 9, 8, 8, 7, 8, 8, 10, 12, 14, 17, 22, 29, 39, 51, 67, 87, 108, 132, 157, 181, 205, 227, 247, 264, 278, 289, 298, 304, 311, 321, 335, 353, 375, 397, 417, 430, 433, 425, 407, 380, 345, 305, 263, 220, 179, 141, 107, 79, 57, 40, 28, 19, 14, 11, 10, 11, 12, 14, 16, 17, 18, 20, 23, 30, 40, 56, 77, 103, 133, 166, 202, 240, 277, 313, 345, 372, 391, 403, 409, 408, 404, 396, 389, 383, 380, 382, 388, 397, 408, 417, 420, 414, 399, 374, 341, 302, 260, 218, 177, 141, 109, 82, 59, 42, 28, 18, 11, 6, 4, 4, 5, 6, 8, 8, 8, 8, 7, 6, 6, 6, 7, 7, 8, 9, 10, 10, 9, 8, 6, 4, 3, 3, 4, 5, 6, 7, 7, 7, 7, 7, 8, 9, 10, 11, 10, 9, 7, 6, 5, 6, 6, 7, 6, 6, 4, 3, 2, 1, 1, 2, 2, 2, 2, 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, 1, 1, 2, 2, 3, 3, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 7, 7, 6, 5, 4, 5, 5, 6, 8, 9, 9, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7, 6, 5, 4, 3, 3, 3, 2, 2, 2, 1, 1, 1, 2, 3, 4, 4, 4, 3, 2, 1, 1, 1, 2, 3, 4, 5, 6, 6, 5, 4, 2, 1, 0, 0, 1, 2, 3, 3, 3, 3, 2, 2, 1, 1, 2, 3, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 5, 6, 6, 6, 5, 4, 3, 3, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 3, 4, 4, 5, 6, 7, 7, 8, 8, 7, 7, 6, 6, 7, 8, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 10, 9, 8, 7, 7, 8, 8, 9, 9, 9, 8, 7, 6, 6, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 10, 11, 12, 13, 14, 14, 14, 13, 13, 14, 15, 17, 20, 24, 29, 36, 46, 57, 71, 87, 104, 123, 144, 165, 186, 208, 228, 247, 264, 277, 289, 298, 306, 314, 323, 335, 349, 364, 379, 391, 400, 403, 400, 391, 374, 351, 322, 289, 252, 216, 181, 149, 122, 99, 80, 64, 50, 40, 31, 26, 22, 21, 20, 21, 22, 22, 23, 22, 21, 19, 17, 15, 14, 14, 14, 15, 15, 15, 15, 15, 14, 14, 14, 15, 15, 16, 17, 17, 17, 16, 16, 17, 18, 21, 24, 30, 36, 44, 54, 67, 84, 103, 127, 153, 181, 208, 234, 256, 272, 281, 282, 276, 263, 244, 221, 196, 169, 144, 120, 98, 79, 63, 50, 39, 31, 26, 22, 19, 18, 16, 15, 14, 13, 12, 11, 10, 10, 8, 7, 5, 4, 3, 3, 4, 5, 6, 6, 7, 6, 6, 5, 4, 3, 3, 3, 3, 3, 4, 5, 6, 7, 8, 8, 8, 7, 7, 7, 7, 8, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 7, 7, 8, 9, 9, 10, 11, 12, 12, 12, 11, 12, 12, 11, 10, 9, 7, 5, 4, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 6, 8, 10, 13, 16, 21, 28, 37, 49, 65, 86, 109, 135, 162, 189, 216, 241, 264, 285, 303, 317, 325, 327, 323, 316, 307, 299, 294, 292, 294, 298, 303, 307, 309, 308, 303, 294, 281, 265, 245, 222, 198, 173, 147, 121, 97, 75, 58, 44, 33, 26, 20, 16, 13, 10, 8, 7, 7, 8, 8, 9, 8, 7, 6, 5, 4, 3, 4, 5, 6, 6, 7, 7, 7, 6, 5, 5, 5, 5, 5, 5, 6, 6, 8, 10, 12, 16, 21, 27, 35, 45, 58, 74, 93, 114, 137, 162, 187, 212, 237, 260, 281, 297, 309, 317, 320, 321, 321, 322, 325, 329, 334, 338, 342, 345, 349, 353, 358, 363, 367, 368, 365, 358, 349, 338, 328, 320, 314, 310, 307, 304, 299, 292, 281, 268, 251, 230, 207, 181, 154, 129, 106, 86, 70, 56, 44, 34, 25, 18, 13, 10, 8, 8, 9, 10, 10, 10, 11, 11, 12, 12, 12, 12, 12, 11, 9, 8, 7, 6, 6, 6, 7, 7, 7, 7, 6, 6, 5, 5, 5, 5, 6, 7, 7, 7, 7, 7, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 6, 6, 7, 8, 8, 8, 8, 7, 5, 4, 4, 4, 5, 6, 7, 7, 8, 9, 9, 9, 9, 9, 8, 8, 7, 7, 7, 7, 7, 6, 4, 3, 3, 2, 3, 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, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 4, 6, 8, 9, 10, 11, 14, 18, 23, 31, 40, 50, 62, 74, 87, 101, 114, 127, 139, 147, 151, 152, 149, 143, 135, 126, 114, 102, 87, 72, 57, 43, 30, 20, 13, 8, 6, 4, 2, 1, 0, 0, 0, 1, 3, 5, 7, 11, 14, 19, 26, 35, 44, 54, 64, 73, 81, 89, 97, 105, 113, 119, 122, 123, 120, 114, 105, 95, 85, 75, 66, 59, 54, 53, 55, 61, 69, 81, 95, 113, 135, 162, 192, 223, 253, 280, 302, 319, 329, 334, 334, 328, 315, 296, 270, 240, 207, 175, 145, 117, 93, 72, 54, 39, 26, 17, 10, 5, 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, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 2, 1, 1, 1, 2, 4, 7, 10, 15, 20, 25, 31, 39, 49, 60, 74, 89, 105, 120, 134, 146, 156, 164, 170, 173, 173, 169, 162, 151, 137, 122, 107, 92, 77, 64, 51, 39, 28, 19, 12, 8, 5, 4, 4, 3, 3, 4, 5, 7, 9, 12, 16, 19, 23, 28, 35, 43, 52, 62, 73, 84, 96, 108, 121, 135, 150, 165, 180, 197, 214, 234, 255, 280, 307, 335, 364, 390, 413, 430, 440, 441, 433, 417, 393, 363, 330, 294, 257, 221, 186, 154, 124, 97, 74, 55, 40, 28, 19, 13, 9, 5, 3, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 6, 7, 8, 8, 8, 8, 8, 7, 7, 6, 6, 6, 7, 8, 9, 9, 9, 9, 8, 8, 7, 7, 8, 8, 8, 7, 6, 6, 5, 6, 6, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 7, 7, 8, 8, 9, 9, 8, 8, 8, 8, 7, 6, 5, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 5, 7, 9, 12, 14, 16, 19, 24, 31, 40, 53, 68, 85, 103, 123, 144, 165, 187, 208, 227, 244, 258, 268, 273, 275, 271, 262, 249, 231, 210, 187, 163, 139, 117, 97, 79, 63, 50, 40, 31, 25, 21, 18, 15, 13, 11, 10, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 7, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 2, 2, 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, 1, 1, 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, 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, 7, 10, 15, 19, 24, 30, 38, 49, 63, 80, 99, 120, 142, 164, 186, 207, 229, 250, 269, 288, 304, 318, 328, 333, 335, 333, 327, 320, 312, 305, 297, 290, 283, 275, 267, 259, 251, 243, 234, 223, 210, 194, 177, 158, 141, 124, 109, 95, 82, 69, 56, 45, 36, 28, 22, 18, 15, 13, 11, 9, 8, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 7, 7, 7, 6, 6, 7, 7, 8, 8, 8, 8, 7, 7, 7, 8, 8, 9, 10, 10, 10, 10, 9, 8, 8, 7, 7, 6, 7, 7, 8, 9, 10, 10, 10, 9, 8, 7, 7, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 10, 12, 15, 19, 23, 29, 34, 40, 46, 53, 62, 71, 82, 93, 105, 116, 127, 138, 149, 160, 172, 183, 194, 204, 213, 221, 229, 238, 247, 258, 268, 277, 284, 289, 290, 289, 286, 281, 273, 264, 252, 237, 220, 202, 182, 163, 144, 127, 110, 95, 81, 69, 57, 48, 40, 35, 31, 28, 27, 28, 30, 33, 36, 41, 46, 53, 61, 71, 83, 96, 111, 125, 140, 153, 166, 177, 188, 197, 205, 211, 215, 215, 212, 206, 196, 184, 170, 154, 137, 121, 106, 92, 80, 69, 60, 52, 45, 40, 35, 32, 29, 26, 24, 22, 19, 17, 15, 14, 12, 11, 11, 11, 11, 11, 11, 10, 9, 8, 7, 6, 6, 7, 8, 9, 10, 10, 9, 9, 8, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 2, 1, 1, 1, 2, 3, 3, 4, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7, 7, 7, 6, 6, 6, 6, 7, 7, 7, 8, 8, 9, 9, 9, 8, 7, 6, 5, 4, 4, 5, 6, 7, 8, 8, 9, 9, 10, 11, 12, 13, 14, 14, 14, 15, 18, 22, 27, 34, 43, 52, 62, 73, 86, 101, 118, 139, 163, 187, 212, 235, 254, 270, 283, 293, 302, 308, 313, 313, 309, 298, 282, 263, 242, 222, 204, 189, 175, 162, 150, 139, 129, 124, 123, 128, 136, 148, 161, 174, 186, 198, 208, 218, 227, 233, 238, 241, 243, 245, 248, 251, 254, 255, 255, 251, 244, 236, 226, 216, 205, 193, 179, 163, 146, 128, 112, 98, 86, 78, 71, 64, 58, 51, 43, 36, 29, 24, 20, 17, 16, 14, 13, 13, 13, 13, 14, 15, 18, 21, 26, 33, 40, 50, 61, 74, 88, 103, 119, 135, 150, 165, 177, 188, 196, 202, 205, 206, 204, 200, 194, 185, 175, 164, 153, 141, 129, 118, 107, 97, 88, 79, 72, 65, 59, 54, 50, 47, 43, 39, 35, 31, 27, 24, 21, 18, 16, 15, 13, 12, 11, 10, 9, 8, 6, 5, 4, 4, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 3, 4, 5, 6, 6, 6, 6, 8, 10, 13, 17, 21, 27, 33, 40, 49, 62, 77, 95, 117, 141, 167, 195, 223, 250, 276, 301, 324, 345, 363, 376, 384, 384, 379, 367, 351, 334, 318, 304, 294, 288, 287, 293, 305, 325, 351, 383, 417, 451, 480, 503, 517, 522, 519, 508, 489, 463, 429, 389, 345, 299, 254, 212, 175, 145, 122, 106, 97, 93, 93, 95, 96, 96, 92, 87, 79, 71, 63, 56, 50, 46, 42, 40, 39, 38, 39, 39, 40, 39, 38, 37, 35, 35, 35, 36, 38, 41, 42, 43, 43, 42, 40, 38, 37, 36, 35, 35, 36, 37, 38, 39, 41, 43, 45, 46, 46, 45, 43, 41, 40, 40, 40, 41, 42, 42, 42, 41, 41, 41, 42, 43, 43, 44, 43, 42, 42, 42, 42, 43, 43, 44, 43, 42, 40, 39, 38, 39, 40, 41, 41, 42, 41, 40, 39, 38, 37, 37, 36, 36, 36, 36, 36, 37, 37, 37, 36, 35, 34, 33, 31, 31, 30, 30, 30, 30, 30, 29, 28, 27, 26, 26, 26, 27, 28, 29, 30, 30, 29, 28, 26, 25, 25, 25, 25, 25, 24, 23, 22, 20, 18, 17, 17, 16, 17, 17, 17, 17, 17, 16, 15, 14, 13, 12, 12, 12, 12, 12, 13, 13, 12, 12, 11, 11, 11, 11, 12, 12, 11, 10, 9, 8, 7, 7, 8, 9, 9, 8, 8, 7, 7, 8, 9, 9, 9, 9, 8, 7, 6, 6, 5, 5, 4, 3, 1, 0, 0, 0, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 2, 2, 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, 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, 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, 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, 2, 2, 2, 2, 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, 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, 0, 0, 0, 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": [15, 16, 18, 22, 29, 37, 45, 53, 60, 68, 78, 91, 103, 115, 125, 134, 142, 150, 157, 163, 168, 171, 170, 166, 160, 152, 143, 134, 124, 115, 105, 96, 85, 75, 64, 54, 44, 36, 28, 23, 19, 16, 14, 12, 10, 9, 8, 7, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 3, 4, 4, 5, 5, 5, 5, 5, 5, 6, 7, 9, 10, 13, 17, 23, 32, 43, 58, 76, 97, 120, 145, 171, 198, 224, 248, 269, 287, 299, 304, 303, 294, 279, 259, 236, 210, 183, 156, 129, 105, 82, 62, 45, 31, 21, 14, 10, 7, 6, 6, 5, 4, 4, 4, 5, 6, 7, 8, 10, 10, 11, 11, 12, 14, 17, 22, 29, 39, 53, 71, 93, 119, 150, 182, 216, 249, 279, 305, 326, 339, 344, 340, 329, 312, 292, 271, 253, 240, 235, 238, 249, 267, 290, 315, 337, 354, 363, 362, 352, 332, 304, 269, 231, 192, 153, 118, 87, 61, 42, 29, 19, 13, 9, 7, 5, 5, 5, 6, 6, 7, 7, 7, 7, 7, 6, 6, 6, 5, 5, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 3, 2, 1, 1, 1, 1, 2, 3, 3, 3, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 3, 12, 27, 52, 88, 138, 201, 274, 351, 426, 489, 534, 554, 547, 516, 464, 398, 325, 252, 185, 127, 81, 47, 24, 11, 5, 2, 2, 3, 3, 4, 5, 5, 6, 7, 7, 6, 5, 3, 1, 0, 0, 4, 15, 35, 66, 108, 162, 226, 295, 364, 426, 471, 494, 491, 463, 415, 356, 297, 251, 225, 226, 254, 306, 372, 441, 502, 543, 558, 543, 501, 437, 360, 279, 203, 137, 85, 47, 23, 9, 3, 2, 3, 5, 7, 8, 9, 10, 10, 10, 9, 9, 8, 7, 6, 5, 4, 4, 3, 3, 3, 4, 4, 5, 6, 7, 8, 8, 8, 7, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 5, 6, 7, 8, 9, 10, 10, 10, 10, 9, 8, 7, 5, 4, 3, 3, 2, 2, 2, 2, 2, 3, 4, 5, 6, 6, 7, 8, 9, 9, 10, 10, 9, 9, 8, 8, 8, 9, 9, 8, 8, 7, 7, 7, 6, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 3, 16, 43, 86, 146, 216, 291, 358, 410, 437, 436, 407, 355, 287, 214, 145, 87, 44, 17, 4, 0, 0, 0, 2, 2, 3, 3, 4, 4, 5, 6, 7, 8, 8, 9, 9, 10, 10, 11, 11, 11, 11, 11, 11, 10, 9, 8, 5, 4, 2, 2, 2, 1, 0, 0, 1, 14, 43, 91, 160, 244, 333, 414, 476, 507, 502, 463, 397, 314, 227, 148, 84, 40, 14, 2, 0, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 9, 9, 9, 8, 8, 8, 7, 7, 7, 8, 9, 9, 10, 10, 10, 9, 8, 7, 7, 6, 6, 6, 7, 7, 7, 6, 5, 4, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 7, 8, 9, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 10, 10, 9, 9, 7, 5, 3, 2, 1, 1, 1, 0, 0, 1, 14, 43, 93, 164, 251, 344, 430, 494, 525, 517, 471, 396, 303, 209, 126, 64, 25, 5, 0, 0, 1, 2, 2, 3, 4, 6, 8, 10, 10, 10, 8, 7, 6, 5, 5, 5, 5, 6, 6, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 4, 3, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 8, 9, 9, 8, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 9, 8, 8, 8, 8, 7, 8, 8, 8, 9, 9, 8, 7, 4, 2, 1, 1, 3, 3, 2, 0, 0, 6, 35, 92, 179, 290, 408, 514, 587, 612, 585, 512, 409, 294, 187, 101, 43, 11, 0, 0, 2, 5, 6, 7, 9, 12, 15, 19, 21, 21, 20, 16, 12, 8, 4, 2, 1, 1, 2, 4, 6, 8, 11, 13, 15, 17, 18, 20, 22, 23, 23, 21, 17, 12, 7, 5, 5, 6, 4, 0, 0, 2, 29, 88, 184, 309, 447, 573, 662, 695, 665, 579, 456, 320, 196, 99, 38, 7, 0, 0, 0, 2, 2, 2, 0, 0, 0, 6, 35, 92, 183, 302, 434, 555, 640, 672, 643, 559, 439, 306, 184, 91, 32, 3, 0, 0, 4, 6, 5, 5, 5, 7, 9, 11, 12, 10, 8, 6, 4, 4, 5, 6, 6, 7, 7, 7, 6, 5, 4, 3, 2, 2, 2, 2, 2, 2, 3, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 4, 4, 6, 8, 9, 10, 10, 8, 6, 3, 1, 0, 0, 0, 0, 1, 2, 4, 6, 8, 11, 12, 13, 13, 12, 12, 11, 11, 11, 10, 8, 6, 3, 2, 2, 3, 4, 3, 1, 0, 0, 0, 3, 7, 8, 2, 0, 0, 31, 114, 256, 448, 665, 866, 1007, 1056, 1000, 854, 652, 437, 248, 111, 31, 0, 0, 0, 4, 7, 7, 4, 0, 0, 0, 26, 97, 221, 395, 596, 788, 931, 991, 953, 827, 641, 437, 253, 116, 33, 0, 0, 2, 8, 10, 7, 6, 7, 12, 18, 23, 26, 25, 24, 21, 20, 19, 18, 17, 17, 17, 18, 18, 19, 19, 20, 19, 19, 18, 18, 17, 18, 18, 17, 17, 16, 14, 12, 10, 8, 7, 8, 9, 10, 11, 12, 12, 11, 9, 6, 4, 3, 2, 2, 3, 5, 7, 8, 10, 10, 9, 7, 5, 3, 1, 0, 0, 0, 1, 2, 4, 5, 7, 8, 9, 11, 13, 14, 15, 15, 13, 11, 9, 6, 3, 2, 1, 1, 1, 2, 3, 4, 5, 5, 6, 7, 8, 8, 9, 9, 8, 8, 8, 8, 9, 10, 12, 13, 15, 15, 15, 15, 14, 12, 11, 10, 9, 8, 7, 6, 4, 3, 2, 2, 2, 2, 3, 4, 5, 6, 5, 4, 3, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 3, 6, 8, 9, 10, 10, 9, 8, 7, 7, 7, 7, 7, 7, 7, 8, 10, 11, 13, 13, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 14, 13, 12, 11, 9, 8, 7, 6, 7, 8, 9, 9, 8, 4, 0, 0, 0, 3, 7, 7, 2, 0, 0, 23, 88, 197, 341, 496, 630, 711, 717, 647, 519, 365, 217, 102, 30, 0, 0, 1, 7, 7, 3, 0, 0, 0, 3, 7, 10, 10, 9, 7, 5, 4, 5, 5, 5, 5, 3, 2, 1, 1, 3, 5, 8, 11, 13, 15, 14, 13, 11, 9, 7, 6, 6, 6, 8, 9, 10, 11, 10, 9, 8, 6, 5, 5, 5, 6, 8, 10, 12, 13, 14, 15, 15, 15, 15, 15, 15, 14, 13, 12, 10, 9, 8, 7, 6, 5, 5, 4, 4, 3, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 5, 6, 7, 8, 8, 9, 10, 10, 9, 8, 5, 3, 1, 0, 0, 0, 0, 1, 1, 2, 2, 3, 5, 6, 8, 9, 11, 12, 13, 13, 13, 11, 8, 5, 3, 3, 4, 5, 4, 2, 0, 0, 0, 4, 12, 15, 9, 0, 0, 14, 92, 237, 443, 676, 888, 1025, 1052, 962, 779, 550, 328, 153, 44, 0, 0, 3, 13, 16, 12, 9, 9, 14, 22, 27, 29, 28, 24, 20, 17, 15, 15, 15, 15, 16, 16, 17, 18, 19, 20, 20, 19, 17, 15, 13, 11, 10, 10, 10, 11, 11, 11, 10, 9, 8, 6, 5, 4, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 6, 6, 5, 3, 1, 0, 0, 0, 2, 4, 5, 5, 5, 4, 4, 6, 7, 8, 7, 2, 0, 0, 0, 6, 14, 16, 7, 0, 0, 28, 127, 297, 523, 761, 957, 1060, 1042, 908, 694, 456, 245, 95, 15, 0, 0, 9, 15, 11, 3, 0, 0, 5, 13, 18, 18, 16, 12, 9, 8, 8, 9, 11, 12, 12, 12, 12, 11, 10, 9, 8, 6, 6, 6, 6, 8, 9, 11, 12, 13, 13, 12, 11, 9, 6, 4, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 6, 7, 7, 7, 6, 4, 3, 2, 2, 4, 5, 5, 2, 0, 0, 0, 3, 13, 17, 11, 0, 0, 10, 92, 248, 470, 722, 946, 1086, 1102, 990, 781, 531, 298, 124, 25, 0, 0, 8, 16, 13, 4, 0, 0, 2, 11, 18, 22, 20, 16, 11, 8, 6, 6, 5, 5, 3, 2, 0, 0, 0, 1, 3, 6, 8, 10, 11, 12, 11, 11, 10, 9, 8, 8, 7, 6, 6, 6, 7, 8, 9, 10, 9, 8, 7, 5, 4, 4, 4, 4, 4, 4, 3, 2, 1, 0, 0, 1, 2, 3, 4, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 4, 3, 2, 2, 2, 4, 5, 5, 4, 0, 0, 0, 0, 5, 12, 13, 5, 0, 0, 23, 102, 237, 412, 593, 735, 800, 769, 651, 480, 298, 147, 47, 0, 0, 0, 10, 12, 7, 0, 0, 0, 0, 3, 5, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 3, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 4, 4, 5, 5, 3, 0, 0, 0, 0, 5, 14, 16, 8, 0, 0, 23, 114, 273, 483, 705, 883, 968, 937, 797, 589, 366, 179, 56, 0, 0, 1, 13, 16, 10, 1, 0, 0, 0, 3, 6, 6, 4, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 4, 5, 6, 5, 2, 0, 0, 0, 4, 14, 20, 13, 0, 0, 8, 93, 257, 490, 751, 979, 1111, 1110, 977, 750, 489, 256, 93, 8, 0, 0, 13, 20, 14, 4, 0, 0, 0, 3, 7, 9, 8, 7, 7, 7, 9, 10, 11, 11, 11, 11, 10, 9, 8, 6, 4, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 4, 5, 4, 0, 0, 0, 0, 8, 17, 18, 7, 0, 0, 32, 142, 325, 560, 795, 972, 1039, 978, 806, 573, 339, 153, 39, 0, 0, 6, 17, 16, 8, 0, 0, 5, 14, 22, 26, 25, 22, 18, 15, 14, 14, 15, 15, 14, 13, 12, 11, 10, 10, 9, 8, 7, 5, 4, 3, 3, 3, 4, 5, 3, 0, 0, 0, 0, 7, 15, 16, 6, 0, 0, 29, 126, 287, 492, 699, 855, 914, 860, 709, 503, 296, 131, 31, 0, 0, 6, 16, 16, 8, 0, 0, 0, 3, 10, 15, 16, 12, 5, 0, 0, 0, 4, 14, 18, 11, 0, 0, 17, 103, 259, 471, 697, 883, 975, 944, 794, 562, 309, 100, 0, 0, 124, 336, 577, 784, 905, 911, 807, 624, 413, 223, 87, 14, 0, 0, 10, 15, 11, 4, 0, 4, 14, 25, 31, 30, 23, 13, 6, 6, 11, 18, 18, 9, 0, 0, 28, 121, 278, 480, 687, 847, 914, 867, 713, 490, 255, 66, 0, 5, 159, 405, 685, 930, 1078, 1091, 971, 754, 500, 271, 107, 18, 0, 0, 4, 8, 7, 4, 3, 3, 0, 0, 0, 33, 125, 277, 472, 667, 812, 866, 811, 664, 468, 272, 119, 27, 0, 0, 6, 15, 14, 6, 0, 0, 0, 4, 9, 9, 5, 0, 0, 0, 4, 15, 19, 12, 0, 0, 9, 93, 248, 462, 692, 881, 975, 947, 804, 590, 361, 171, 48, 0, 0, 3, 16, 18, 10, 0, 0, 0, 2, 7, 10, 10, 7, 5, 3, 4, 5, 7, 8, 8, 8, 8, 8, 8, 7, 6, 4, 3, 4, 4, 5, 4, 1, 0, 0, 0, 6, 15, 18, 11, 0, 0, 12, 95, 245, 448, 665, 839, 923, 890, 752, 548, 334, 157, 44, 0, 0, 3, 15, 16, 9, 0, 0, 0, 1, 6, 9, 10, 8, 5, 4, 2, 2, 2, 2, 3, 4, 5, 7, 8, 8, 7, 6, 4, 3, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 4, 3, 2, 2, 2, 2, 3, 4, 6, 9, 12, 14, 16, 17, 17, 16, 14, 12, 10, 9, 8, 7, 6, 5, 5, 4, 4, 5, 5, 6, 7, 6, 6, 5, 4, 3, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 9, 9, 8, 6, 4, 2, 1, 0, 1, 1, 3, 6, 10, 15, 18, 19, 15, 7, 0, 0, 4, 15, 23, 20, 3, 0, 0, 60, 207, 430, 694, 936, 1090, 1110, 991, 769, 506, 267, 98, 11, 0, 0, 9, 11, 5, 0, 0, 4, 8, 2, 0, 0, 43, 152, 328, 544, 752, 896, 934, 852, 669, 435, 208, 41, 0, 7, 135, 321, 518, 677, 758, 743, 641, 482, 308, 158, 55, 1, 0, 0, 9, 21, 25, 17, 0, 0, 0, 42, 160, 345, 571, 787, 935, 973, 888, 705, 477, 262, 102, 14, 0, 0, 11, 19, 15, 5, 0, 0, 0, 7, 12, 14, 12, 10, 8, 7, 8, 9, 10, 10, 10, 10, 10, 12, 13, 14, 13, 12, 11, 9, 8, 7, 7, 7, 8, 8, 7, 6, 5, 4, 4, 3, 4, 4, 5, 5, 6, 5, 5, 5, 4, 5, 5, 7, 8, 10, 12, 13, 14, 14, 15, 14, 14, 15, 15, 16, 17, 17, 17, 16, 15, 13, 12, 12, 13, 14, 14, 15, 14, 13, 12, 11, 11, 11, 11, 12, 12, 11, 11, 9, 8, 6, 5, 3, 2, 2, 2, 3, 4, 5, 5, 5, 4, 4, 5, 7, 9, 10, 8, 4, 0, 0, 3, 11, 17, 16, 5, 0, 0, 33, 127, 277, 460, 635, 754, 783, 713, 565, 382, 209, 81, 11, 0, 0, 9, 16, 13, 5, 0, 0, 3, 10, 15, 16, 15, 12, 10, 8, 7, 6, 4, 3, 1, 0, 0, 1, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 3, 3, 3, 4, 3, 3, 3, 3, 4, 4, 5, 3, 0, 0, 0, 0, 5, 13, 16, 8, 0, 0, 12, 85, 215, 388, 567, 708, 768, 730, 605, 431, 253, 112, 26, 0, 0, 5, 14, 13, 6, 0, 0, 0, 7, 13, 16, 16, 14, 12, 9, 7, 6, 5, 5, 4, 3, 3, 3, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 5, 5, 6, 6, 4, 0, 0, 0, 0, 8, 17, 18, 8, 0, 0, 24, 121, 285, 494, 701, 851, 900, 833, 670, 461, 260, 108, 21, 0, 0, 0, 7, 8, 8, 8, 5, 0, 0, 0, 39, 141, 303, 500, 688, 815, 842, 762, 597, 396, 211, 76, 6, 0, 0, 12, 18, 13, 4, 0, 0, 0, 2, 6, 6, 4, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 5, 6, 8, 10, 11, 11, 9, 4, 0, 0, 0, 4, 14, 19, 13, 0, 0, 2, 68, 196, 374, 568, 730, 812, 789, 670, 489, 297, 138, 36, 0, 0, 4, 16, 17, 11, 3, 0, 2, 8, 13, 15, 14, 11, 8, 7, 6, 7, 8, 9, 8, 8, 7, 6, 7, 8, 10, 12, 13, 14, 14, 14, 15, 16, 16, 13, 8, 1, 0, 0, 4, 14, 19, 14, 0, 0, 2, 72, 208, 402, 615, 795, 892, 877, 755, 563, 353, 175, 57, 1, 0, 0, 5, 7, 6, 6, 8, 7, 0, 0, 0, 44, 149, 315, 518, 713, 847, 879, 796, 617, 389, 171, 19, 0, 40, 210, 442, 676, 854, 928, 879, 720, 492, 253, 64, 0, 3, 153, 387, 651, 876, 1003, 1001, 874, 662, 423, 216, 74, 4, 0, 0, 6, 10, 9, 8, 7, 4, 0, 0, 2, 60, 180, 361, 574, 770, 893, 904, 793, 587, 342, 124, 0, 0, 109, 324, 577, 800, 935, 948, 841, 649, 426, 226, 84, 9, 0, 0, 13, 19, 16, 8, 3, 4, 11, 19, 23, 23, 19, 13, 8, 5, 3, 3, 5, 7, 9, 12, 15, 17, 18, 17, 15, 13, 10, 8, 7, 6, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 1, 3, 4, 6, 8, 8, 8, 7, 6, 5, 4, 3, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 5, 6, 6, 6, 5, 3, 1, 0, 0, 0, 1, 3, 4, 4, 1, 0, 0, 0, 4, 12, 16, 10, 0, 0, 6, 72, 194, 360, 538, 680, 746, 717, 600, 432, 257, 116, 28, 0, 0, 5, 13, 13, 6, 0, 0, 1, 8, 15, 18, 18, 14, 9, 6, 4, 5, 8, 12, 15, 16, 13, 7, 0, 0, 3, 12, 21, 20, 7, 0, 0, 36, 152, 339, 569, 791, 944, 983, 897, 711, 479, 260, 99, 12, 0, 0, 12, 20, 15, 4, 0, 0, 2, 11, 19, 22, 21, 18, 15, 13, 12, 11, 11, 10, 8, 8, 8, 9, 10, 9, 5, 0, 0, 0, 1, 12, 20, 17, 2, 0, 0, 52, 181, 374, 601, 805, 930, 938, 827, 631, 405, 205, 67, 0, 0, 0, 14, 19, 12, 2, 0, 0, 1, 8, 13, 14, 12, 9, 6, 4, 4, 5, 6, 8, 9, 10, 11, 11, 10, 9, 8, 7, 7, 6, 7, 7, 8, 10, 12, 14, 16, 16, 16, 14, 12, 10, 10, 12, 16, 20, 20, 15, 7, 0, 0, 5, 16, 23, 18, 0, 0, 1, 77, 233, 461, 718, 944, 1075, 1071, 931, 690, 411, 165, 6, 0, 49, 227, 454, 674, 830, 885, 827, 677, 478, 281, 127, 31, 0, 0, 0, 14, 22, 21, 13, 0, 0, 0, 43, 154, 325, 532, 728, 861, 891, 809, 639, 430, 234, 90, 11, 0, 0, 11, 19, 17, 9, 3, 2, 6, 12, 16, 17, 16, 14, 13, 13, 15, 17, 18, 19, 18, 18, 18, 18, 19, 20, 21, 22, 23, 23, 23, 22, 22, 21, 21, 20, 20, 20, 21, 22, 22, 21, 19, 16, 13, 11, 10, 10, 10, 8, 5, 1, 0, 0, 6, 13, 15, 9, 0, 0, 8, 70, 182, 331, 487, 608, 660, 625, 516, 364, 211, 90, 18, 0, 0, 5, 13, 12, 5, 0, 0, 0, 0, 2, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 2, 4, 5, 4, 1, 0, 0, 0, 6, 16, 20, 12, 0, 0, 12, 99, 259, 473, 697, 873, 950, 903, 749, 532, 311, 136, 30, 0, 0, 7, 18, 17, 9, 0, 0, 0, 0, 5, 9, 10, 11, 11, 10, 9, 9, 10, 11, 14, 16, 16, 12, 6, 0, 0, 5, 15, 22, 19, 3, 0, 0, 54, 185, 386, 623, 840, 978, 997, 891, 691, 455, 240, 86, 6, 0, 0, 14, 21, 17, 7, 0, 0, 4, 11, 17, 18, 18, 16, 15, 16, 17, 18, 17, 15, 13, 11, 10, 9, 6, 2, 0, 0, 0, 8, 16, 19, 11, 0, 0, 15, 92, 231, 416, 610, 763, 831, 790, 647, 438, 220, 49, 0, 18, 175, 412, 672, 890, 1007, 992, 848, 612, 348, 124, 0, 0, 111, 310, 533, 719, 818, 809, 699, 525, 334, 169, 58, 3, 0, 1, 13, 18, 15, 9, 7, 10, 17, 24, 29, 30, 28, 24, 20, 16, 13, 11, 9, 7, 6, 6, 7, 8, 10, 10, 10, 10, 10, 10, 13, 17, 21, 22, 20, 15, 11, 10, 15, 21, 23, 15, 0, 0, 2, 73, 211, 407, 626, 813, 916, 906, 784, 588, 371, 184, 58, 0, 0, 1, 15, 19, 13, 4, 0, 0, 5, 12, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 17, 18, 14, 8, 2, 0, 2, 8, 15, 15, 7, 0, 0, 18, 91, 215, 375, 535, 655, 700, 655, 536, 375, 216, 92, 19, 0, 0, 6, 13, 11, 4, 0, 0, 0, 4, 9, 9, 5, 0, 0, 0, 4, 13, 18, 12, 0, 0, 6, 76, 211, 397, 597, 761, 841, 814, 687, 499, 301, 138, 36, 0, 0, 4, 15, 16, 9, 0, 0, 0, 0, 3, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 6, 7, 6, 5, 5, 5, 5, 5, 4, 4, 3, 2, 2, 2, 3, 4, 5, 5, 5, 4, 3, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 3, 4, 4, 1, 0, 0, 0, 6, 16, 19, 12, 0, 0, 9, 89, 235, 433, 643, 809, 884, 846, 705, 504, 298, 132, 31, 0, 0, 7, 17, 17, 9, 0, 0, 0, 1, 6, 9, 9, 9, 8, 8, 9, 9, 9, 7, 5, 3, 2, 1, 2, 3, 4, 5, 5, 4, 3, 3, 3, 6, 11, 16, 18, 17, 12, 6, 4, 7, 14, 20, 18, 5, 0, 0, 41, 152, 326, 537, 737, 870, 899, 816, 645, 435, 240, 95, 14, 0, 0, 3, 16, 21, 19, 8, 0, 0, 2, 66, 195, 384, 602, 801, 927, 942, 838, 640, 400, 178, 24, 0, 32, 185, 392, 603, 765, 839, 803, 667, 465, 249, 74, 0, 8, 136, 338, 564, 755, 861, 858, 750, 571, 370, 193, 70, 7, 0, 0, 11, 15, 10, 2, 0, 0, 5, 13, 19, 21, 20, 19, 17, 17, 18, 18, 18, 16, 14, 11, 9, 7, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 7, 5, 1, 0, 0, 0, 7, 13, 13, 4, 0, 0, 27, 109, 239, 398, 550, 653, 676, 614, 485, 326, 178, 70, 11, 0, 0, 1, 5, 4, 3, 4, 3, 0, 0, 0, 23, 92, 207, 352, 498, 603, 639, 593, 479, 331, 187, 77, 14, 0, 0, 6, 12, 10, 3, 0, 0, 0, 5, 9, 11, 9, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 6, 6, 5, 4, 2, 2, 2, 3, 4, 6, 6, 6, 5, 4, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 3, 4, 4, 1, 0, 0, 0, 4, 14, 19, 14, 0, 0, 0, 60, 184, 364, 567, 747, 851, 852, 748, 570, 368, 189, 65, 2, 0, 0, 14, 21, 19, 13, 8, 8, 11, 15, 17, 18, 17, 16, 16, 16, 16, 16, 15, 16, 18, 21, 22, 20, 15, 9, 5, 7, 14, 20, 20, 8, 0, 0, 30, 132, 300, 512, 722, 877, 930, 864, 695, 466, 235, 58, 0, 1, 129, 328, 550, 739, 848, 850, 749, 575, 376, 199, 74, 8, 0, 0, 4, 13, 16, 14, 7, 0, 0, 0, 47, 153, 312, 504, 684, 806, 834, 759, 604, 412, 230, 94, 17, 0, 0, 8, 15, 14, 7, 2, 2, 7, 14, 19, 21, 20, 18, 17, 16, 16, 16, 15, 13, 10, 8, 7, 6, 8, 9, 11, 13, 13, 12, 11, 10, 9, 8, 8, 8, 7, 7, 6, 6, 5, 4, 3, 2, 1, 0, 0, 1, 2, 3, 5, 6, 7, 8, 9, 10, 13, 15, 17, 18, 18, 18, 16, 15, 13, 11, 9, 7, 5, 4, 4, 4, 4, 4, 4, 4, 5, 7, 11, 15, 18, 18, 14, 8, 3, 4, 9, 17, 19, 11, 0, 0, 14, 99, 250, 455, 673, 849, 934, 904, 768, 565, 349, 169, 52, 0, 0, 0, 9, 8, 2, 0, 0, 2, 2, 0, 0, 7, 56, 151, 285, 435, 564, 636, 631, 549, 415, 265, 135, 45, 0, 0, 0, 12, 17, 17, 13, 12, 13, 17, 22, 25, 26, 25, 23, 20, 19, 17, 16, 14, 13, 11, 10, 9, 9, 8, 8, 7, 6, 5, 3, 2, 2, 3, 4, 5, 4, 2, 0, 0, 0, 3, 9, 11, 7, 0, 0, 13, 70, 172, 309, 454, 571, 625, 596, 489, 329, 161, 32, 0, 33, 179, 388, 610, 787, 874, 850, 724, 536, 334, 164, 52, 0, 0, 1, 12, 14, 8, 0, 0, 0, 6, 15, 22, 25, 24, 21, 18, 15, 13, 12, 12, 12, 11, 10, 9, 7, 6, 4, 4, 3, 3, 3, 4, 3, 3, 2, 2, 2, 2, 2, 3, 4, 5, 5, 4, 3, 2, 0, 0, 0, 0, 2, 5, 7, 9, 10, 10, 9, 7, 6, 4, 3, 3, 3, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 4, 5, 5, 4, 2, 1, 0, 0, 0, 1, 3, 4, 5, 4, 4, 4, 4, 4, 2, 0, 0, 0, 0, 8, 15, 14, 5, 0, 0, 35, 132, 286, 478, 666, 799, 838, 767, 602, 386, 177, 31, 0, 55, 216, 426, 630, 772, 817, 757, 614, 428, 248, 108, 26, 0, 0, 6, 14, 12, 5, 0, 0, 0, 2, 6, 7, 5, 3, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 3, 4, 4, 4, 3, 2, 2, 3, 4, 3, 0, 0, 0, 0, 5, 13, 16, 10, 0, 0, 15, 92, 229, 415, 613, 772, 846, 808, 665, 454, 233, 63, 0, 39, 188, 398, 609, 764, 822, 773, 637, 454, 272, 128, 38, 0, 0, 0, 6, 11, 12, 11, 5, 0, 0, 5, 60, 172, 338, 533, 716, 836, 856, 766, 586, 362, 154, 18, 0, 79, 258, 480, 685, 819, 850, 774, 619, 426, 244, 105, 25, 0, 0, 8, 17, 18, 12, 6, 4, 5, 9, 12, 12, 11, 9, 6, 5, 4, 4, 4, 5, 7, 9, 12, 14, 16, 15, 14, 11, 8, 6, 7, 10, 14, 19, 20, 18, 13, 8, 6, 9, 15, 17, 11, 0, 0, 4, 68, 191, 366, 559, 725, 818, 809, 703, 531, 339, 173, 59, 1, 0, 0, 4, 13, 16, 14, 6, 0, 0, 2, 59, 176, 350, 555, 746, 873, 897, 808, 626, 398, 182, 31, 0, 39, 190, 394, 597, 749, 811, 773, 647, 472, 292, 145, 48, 3, 0, 0, 4, 8, 9, 9, 7, 0, 0, 0, 18, 88, 208, 367, 534, 667, 727, 698, 586, 426, 258, 120, 33, 0, 0, 3, 12, 13, 7, 0, 0, 0, 0, 2, 4, 4, 4, 3, 2, 2, 1, 1, 2, 3, 3, 3, 1, 0, 0, 0, 2, 9, 15, 12, 2, 0, 0, 48, 152, 309, 497, 675, 796, 826, 751, 589, 382, 183, 44, 0, 56, 199, 385, 565, 689, 724, 660, 514, 326, 148, 32, 12, 97, 265, 471, 658, 776, 794, 712, 557, 373, 203, 80, 13, 0, 0, 8, 14, 11, 3, 0, 0, 0, 1, 3, 3, 3, 2, 2, 3, 5, 5, 6, 6, 6, 8, 11, 15, 19, 21, 22, 20, 17, 14, 12, 11, 11, 10, 7, 2, 0, 0, 1, 9, 16, 14, 4, 0, 0, 40, 144, 307, 508, 702, 840, 882, 817, 663, 463, 268, 117, 27, 0, 0, 6, 14, 13, 5, 0, 0, 0, 3, 8, 10, 9, 7, 4, 3, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 1, 3, 5, 6, 6, 6, 5, 5, 4, 3, 1, 0, 0, 0, 3, 10, 14, 11, 0, 0, 4, 59, 168, 328, 514, 684, 792, 806, 714, 539, 326, 133, 15, 7, 115, 315, 555, 775, 920, 951, 863, 678, 447, 226, 73, 21, 78, 222, 409, 585, 702, 730, 667, 533, 368, 212, 93, 23, 0, 0, 6, 12, 11, 7, 3, 4, 10, 18, 25, 29, 30, 28, 26, 24, 22, 20, 20, 20, 22, 25, 26, 25, 21, 16, 13, 12, 16, 19, 17, 8, 0, 0, 25, 110, 253, 441, 637, 795, 872, 843, 712, 512, 291, 105, 0, 0, 88, 260, 464, 650, 773, 801, 727, 571, 372, 179, 41, 0, 42, 181, 373, 573, 730, 806, 784, 676, 511, 332, 177, 69, 12, 0, 0, 2, 6, 6, 5, 3, 0, 0, 0, 12, 63, 154, 282, 424, 549, 622, 624, 553, 430, 287, 156, 62, 10, 0, 0, 6, 10, 7, 2, 0, 0, 0, 4, 6, 4, 0, 0, 0, 3, 11, 15, 10, 0, 0, 7, 66, 179, 341, 524, 686, 784, 787, 691, 517, 311, 128, 15, 2, 89, 252, 445, 617, 722, 736, 660, 519, 351, 196, 82, 17, 0, 0, 6, 11, 8, 2, 0, 2, 11, 22, 31, 34, 32, 27, 23, 22, 21, 18, 10, 0, 0, 10, 69, 176, 326, 490, 633, 716, 718, 636, 494, 329, 179, 71, 11, 0, 0, 6, 11, 9, 3, 0, 0, 0, 2, 6, 9, 12, 14, 15, 15, 15, 13, 10, 7, 4, 1, 0, 0, 0, 0, 2, 3, 4, 4, 4, 3, 2, 0, 0, 0, 0, 1, 3, 5, 6, 6, 6, 5, 5, 4, 3, 0, 0, 0, 0, 6, 13, 16, 11, 0, 0, 8, 67, 182, 346, 535, 707, 818, 837, 753, 587, 379, 184, 52, 16, 84, 239, 438, 631, 767, 811, 753, 609, 416, 225, 86, 32, 77, 203, 375, 545, 667, 711, 669, 557, 406, 252, 126, 43, 3, 0, 2, 12, 16, 15, 12, 9, 8, 9, 11, 12, 12, 12, 11, 10, 9, 9, 10, 13, 16, 21, 24, 25, 22, 18, 14, 13, 16, 18, 16, 6, 0, 0, 27, 112, 254, 438, 628, 779, 851, 824, 706, 529, 339, 175, 63, 6, 0, 0, 8, 12, 8, 1, 0, 0, 0, 2, 4, 4, 2, 0, 0, 0, 2, 4, 5, 6, 5, 4, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 4, 7, 9, 11, 14, 17, 20, 22, 23, 22, 19, 16, 16, 18, 20, 16, 6, 0, 0, 22, 100, 232, 405, 586, 732, 804, 783, 674, 508, 326, 169, 61, 6, 0, 0, 8, 12, 8, 2, 0, 0, 0, 3, 6, 8, 8, 7, 7, 7, 7, 7, 7, 8, 10, 12, 14, 17, 19, 19, 19, 17, 14, 11, 8, 5, 2, 1, 1, 1, 2, 3, 3, 2, 1, 1, 1, 2, 3, 2, 0, 0, 0, 0, 4, 9, 11, 5, 0, 0, 17, 84, 200, 354, 518, 654, 726, 714, 621, 473, 309, 164, 62, 8, 0, 0, 7, 11, 8, 2, 0, 0, 0, 2, 4, 5, 4, 3, 2, 3, 4, 5, 6, 6, 6, 5, 4, 3, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 5, 7, 9, 12, 13, 14, 14, 13, 12, 10, 8, 7, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 10, 13, 16, 19, 21, 22, 21, 20, 17, 14, 11, 8, 6, 5, 4, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 5, 7, 10, 12, 14, 14, 14, 12, 10, 9, 9, 11, 14, 18, 22, 23, 22, 19, 16, 15, 16, 17, 14, 4, 0, 0, 29, 104, 228, 387, 552, 684, 747, 723, 614, 447, 263, 109, 23, 24, 109, 254, 419, 561, 645, 653, 586, 464, 320, 186, 84, 23, 0, 0, 3, 8, 7, 3, 0, 0, 0, 1, 4, 6, 7, 7, 7, 6, 5, 5, 4, 4, 4, 3, 1, 0, 0, 0, 2, 8, 12, 8, 0, 0, 3, 50, 145, 286, 451, 606, 712, 741, 686, 563, 403, 244, 117, 36, 0, 0, 1, 8, 9, 5, 0, 0, 0, 0, 2, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 2, 0, 0, 0, 0, 3, 8, 10, 5, 0, 0, 13, 68, 166, 298, 442, 565, 634, 632, 559, 436, 295, 166, 71, 17, 0, 0, 0, 5, 7, 7, 4, 0, 0, 0, 14, 63, 148, 263, 389, 497, 560, 561, 499, 390, 264, 147, 61, 13, 0, 0, 4, 7, 6, 1, 0, 0, 3, 10, 16, 20, 21, 21, 18, 15, 13, 11, 9, 9, 10, 12, 15, 17, 19, 19, 18, 15, 12, 8, 5, 2, 0, 0, 0, 2, 4, 6, 7, 7, 5, 3, 1, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 6, 11, 12, 7, 0, 0, 15, 73, 177, 320, 477, 615, 700, 707, 631, 492, 322, 165, 60, 35, 94, 223, 390, 553, 671, 717, 681, 576, 430, 277, 146, 55, 7, 0, 0, 7, 15, 15, 8, 0, 0, 1, 46, 136, 268, 426, 577, 685, 724, 682, 570, 419, 264, 135, 49, 6, 0, 0, 1, 3, 3, 2, 2, 0, 0, 0, 6, 46, 124, 238, 373, 501, 590, 617, 575, 475, 342, 209, 101, 32, 0, 0, 0, 6, 7, 3, 0, 0, 1, 7, 15, 21, 25, 27, 28, 27, 25, 22, 19, 15, 12, 10, 8, 6, 3, 0, 0, 0, 0, 5, 9, 8, 0, 0, 0, 35, 113, 235, 384, 532, 644, 692, 662, 564, 423, 272, 143, 54, 8, 0, 0, 6, 8, 5, 0, 0, 0, 5, 13, 21, 26, 27, 27, 24, 21, 18, 15, 14, 13, 14, 17, 21, 24, 27, 29, 28, 25, 21, 16, 11, 7, 4, 3, 3, 4, 5, 7, 8, 8, 8, 7, 6, 7, 8, 11, 14, 18, 21, 22, 21, 19, 16, 13, 11, 11, 13, 16, 19, 22, 24, 24, 23, 20, 16, 12, 8, 5, 3, 3, 3, 5, 7, 8, 9, 9, 8, 6, 4, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 5, 8, 12, 15, 17, 18, 19, 18, 17, 15, 13, 11, 9, 6, 4, 3, 1, 1, 0, 0, 0, 0, 1, 4, 8, 13, 17, 19, 18, 15, 12, 11, 12, 14, 13, 5, 0, 0, 18, 86, 204, 364, 540, 696, 794, 811, 742, 607, 438, 272, 138, 50, 7, 0, 0, 6, 8, 5, 3, 3, 8, 16, 25, 32, 35, 35, 33, 29, 24, 20, 16, 12, 9, 6, 4, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 4, 7, 6, 0, 0, 0, 26, 86, 182, 302, 425, 523, 571, 558, 487, 377, 253, 142, 61, 14, 0, 0, 3, 6, 5, 2, 0, 0, 0, 3, 7, 11, 13, 14, 13, 12, 9, 7, 6, 6, 7, 10, 14, 17, 19, 19, 18, 16, 13, 10, 8, 8, 9, 11, 13, 15, 17, 18, 18, 16, 14, 10, 7, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 3, 3, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 3, 2, 1, 0, 0, 1, 3, 5, 7, 8, 8, 8, 8, 7, 6, 4, 1, 0, 0, 0, 3, 7, 7, 3, 0, 0, 15, 65, 154, 274, 408, 528, 605, 622, 574, 474, 345, 216, 110, 40, 5, 0, 0, 4, 5, 3, 0, 0, 0, 1, 4, 6, 6, 4, 2, 0, 0, 0, 1, 2, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 2, 0, 0, 0, 0, 4, 7, 7, 1, 0, 0, 26, 92, 200, 341, 489, 615, 688, 691, 622, 500, 354, 213, 103, 33, 1, 0, 0, 5, 6, 3, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 3, 4, 5, 6, 9, 14, 19, 23, 26, 26, 24, 21, 19, 18, 14, 7, 0, 0, 8, 54, 142, 269, 420, 566, 677, 727, 703, 611, 474, 322, 185, 83, 23, 0, 0, 2, 5, 4, 0, 0, 0, 7, 17, 27, 34, 37, 36, 33, 28, 24, 20, 17, 14, 12, 11, 10, 9, 9, 8, 8, 7, 6, 5, 5, 6, 10, 15, 21, 26, 29, 29, 27, 23, 18, 14, 12, 11, 11, 10, 8, 5, 3, 3, 6, 8, 7, 1, 0, 0, 27, 92, 198, 336, 484, 612, 691, 703, 645, 531, 387, 245, 127, 48, 8, 0, 0, 4, 6, 4, 0, 0, 0, 1, 4, 7, 9, 9, 8, 6, 5, 4, 4, 3, 3, 3, 4, 5, 6, 9, 11, 13, 14, 14, 13, 11, 8, 5, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 6, 7, 9, 11, 14, 18, 22, 25, 26, 26, 24, 20, 17, 15, 15, 16, 20, 24, 28, 30, 30, 28, 25, 22, 18, 12, 3, 0, 0, 23, 81, 178, 306, 447, 574, 660, 685, 643, 546, 414, 277, 158, 71, 20, 0, 0, 2, 8, 12, 11, 7, 0, 0, 0, 25, 82, 175, 299, 437, 563, 649, 675, 633, 533, 399, 263, 158, 108, 125, 201, 316, 440, 541, 597, 594, 536, 438, 321, 208, 116, 53, 19, 6, 6, 11, 14, 15, 13, 11, 9, 9, 10, 12, 12, 12, 11, 10, 7, 5, 3, 2, 2, 2, 3, 5, 6, 7, 7, 7, 7, 7, 7, 6, 5, 3, 1, 0, 2, 4, 6, 5, 1, 0, 0, 22, 75, 162, 277, 402, 514, 590, 612, 576, 490, 375, 254, 147, 68, 21, 0, 0, 3, 8, 11, 11, 11, 13, 17, 22, 27, 31, 33, 33, 31, 29, 26, 23, 20, 18, 16, 15, 14, 13, 12, 11, 9, 7, 7, 6, 6, 3, 0, 0, 5, 31, 81, 155, 246, 339, 415, 459, 459, 418, 345, 255, 166, 92, 41, 12, 2, 4, 9, 13, 15, 14, 12, 9, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 7, 7, 6, 5, 3, 2, 3, 5, 8, 7, 3, 0, 0, 14, 60, 143, 258, 391, 517, 610, 651, 630, 554, 441, 315, 198, 106, 45, 14, 3, 4, 10, 14, 13, 8, 1, 0, 1, 26, 80, 166, 280, 407, 526, 612, 645, 615, 530, 408, 279, 175, 122, 133, 205, 318, 443, 547, 603, 596, 529, 419, 296, 192, 134, 138, 202, 311, 437, 549, 619, 630, 580, 482, 361, 247, 168, 144, 180, 267, 381, 493, 575, 606, 578, 499, 387, 266, 157, 74, 24, 1, 0, 1, 6, 9, 11, 14, 18, 25, 32, 39, 43, 44, 42, 38, 33, 28, 24, 20, 17, 15, 15, 15, 15, 16, 17, 18, 20, 21, 24, 27, 31, 34, 35, 35, 33, 30, 26, 20, 11, 2, 0, 3, 32, 93, 190, 315, 452, 576, 661, 687, 648, 551, 419, 283, 175, 121, 133, 207, 323, 452, 562, 625, 629, 572, 470, 344, 221, 119, 50, 12, 0, 0, 2, 4, 4, 4, 6, 11, 18, 26, 33, 37, 38, 38, 35, 32, 28, 23, 19, 15, 12, 9, 8, 7, 7, 7, 7, 7, 7, 5, 4, 2, 1, 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, 1, 2, 2, 2, 2, 3, 5, 7, 11, 15, 18, 21, 22, 22, 20, 16, 12, 9, 6, 4, 3, 4, 5, 6, 6, 6, 5, 4, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 3, 7, 11, 15, 18, 20, 20, 18, 15, 12, 10, 9, 10, 13, 16, 20, 22, 23, 22, 19, 17, 14, 12, 11, 12, 14, 16, 18, 21, 22, 22, 21, 19, 16, 13, 12, 12, 14, 17, 21, 25, 28, 29, 28, 25, 22, 17, 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, 1, 3, 5, 8, 11, 14, 15, 15, 13, 11, 9, 7, 7, 8, 11, 15, 18, 21, 23, 23, 22, 19, 16, 14, 13, 13, 16, 20, 24, 28, 30, 30, 28, 24, 20, 16, 12, 9, 6, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 3, 4, 2, 0, 0, 7, 41, 106, 201, 319, 441, 543, 607, 619, 577, 492, 382, 266, 162, 83, 32, 5, 0, 0, 3, 5, 4, 0, 0, 1, 27, 81, 166, 278, 400, 514, 595, 628, 607, 536, 431, 313, 201, 111, 49, 14, 0, 0, 2, 5, 7, 8, 8, 9, 9, 8, 7, 5, 3, 1, 0, 0, 0, 0, 1, 2, 4, 6, 6, 6, 4, 1, 0, 0, 1, 2, 2, 0, 0, 3, 24, 65, 128, 207, 289, 360, 405, 414, 384, 323, 244, 162, 92, 41, 11, 0, 0, 0, 2, 2, 1, 2, 6, 12, 19, 24, 27, 28, 26, 23, 20, 19, 19, 20, 23, 26, 28, 30, 30, 30, 28, 26, 23, 20, 17, 15, 13, 11, 9, 6, 4, 2, 0, 0, 1, 2, 1, 0, 0, 3, 21, 55, 108, 174, 244, 307, 350, 365, 349, 304, 241, 170, 104, 52, 17, 0, 0, 0, 4, 4, 1, 0, 0, 17, 59, 128, 221, 327, 429, 510, 553, 552, 506, 425, 325, 223, 134, 67, 24, 3, 0, 0, 2, 4, 2, 0, 0, 5, 31, 81, 156, 252, 355, 450, 517, 544, 523, 461, 372, 276, 197, 152, 153, 196, 270, 355, 430, 476, 482, 446, 377, 288, 197, 117, 58, 21, 3, 0, 0, 1, 2, 1, 1, 2, 4, 7, 9, 10, 9, 7, 6, 5, 5, 4, 1, 0, 0, 9, 36, 84, 153, 236, 320, 392, 436, 446, 419, 362, 285, 202, 125, 65, 25, 4, 0, 0, 1, 0, 0, 1, 21, 68, 149, 261, 394, 527, 637, 703, 710, 658, 557, 432, 311, 220, 180, 197, 263, 359, 460, 538, 574, 559, 497, 404, 303, 221, 176, 179, 227, 307, 396, 471, 514, 514, 473, 401, 311, 221, 143, 84, 46, 25, 17, 15, 15, 16, 16, 16, 16, 15, 14, 13, 11, 9, 7, 5, 5, 5, 5, 4, 4, 3, 1, 1, 0, 1, 2, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 9, 12, 15, 18, 20, 22, 21, 20, 17, 13, 10, 7, 4, 3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 9, 13, 15, 16, 15, 14, 12, 11, 11, 13, 15, 19, 22, 24, 25, 23, 21, 17, 11, 5, 0, 0, 8, 35, 84, 156, 248, 348, 442, 513, 549, 540, 489, 405, 304, 202, 116, 53, 16, 0, 0, 0, 2, 3, 4, 7, 12, 19, 26, 31, 34, 34, 32, 26, 19, 10, 2, 0, 6, 33, 83, 159, 257, 366, 469, 549, 591, 588, 540, 457, 354, 250, 158, 87, 41, 17, 8, 8, 11, 13, 14, 13, 12, 10, 9, 8, 7, 6, 5, 4, 4, 5, 8, 11, 15, 19, 22, 25, 26, 26, 26, 24, 22, 19, 16, 13, 10, 7, 5, 4, 3, 3, 4, 6, 8, 11, 14, 18, 23, 27, 31, 34, 36, 35, 32, 26, 17, 7, 0, 0, 15, 53, 118, 208, 317, 430, 529, 594, 614, 583, 509, 408, 306, 225, 186, 197, 256, 348, 451, 541, 595, 602, 559, 478, 377, 279, 207, 176, 192, 249, 334, 425, 499, 539, 535, 488, 409, 319, 240, 193, 187, 226, 297, 384, 464, 517, 532, 506, 444, 358, 264, 175, 103, 51, 19, 3, 0, 0, 5, 11, 18, 24, 31, 37, 41, 44, 45, 43, 40, 35, 30, 26, 22, 20, 18, 17, 15, 14, 11, 9, 7, 5, 3, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 4, 6, 8, 10, 12, 14, 18, 21, 24, 27, 28, 28, 27, 24, 21, 18, 16, 14, 13, 12, 11, 10, 8, 7, 6, 4, 4, 3, 3, 4, 4, 5, 4, 4, 3, 2, 2, 2, 2, 1, 0, 0, 4, 18, 46, 91, 149, 216, 281, 333, 361, 360, 332, 284, 228, 180, 153, 156, 191, 252, 325, 396, 446, 464, 446, 397, 330, 262, 214, 198, 222, 279, 357, 437, 498, 524, 510, 459, 386, 311, 255, 232, 247, 297, 367, 440, 501, 538, 546, 526, 484, 428, 372, 327, 304, 310, 346, 403, 465, 514, 533, 513, 456, 372, 277, 187, 114, 63, 35, 22, 19, 20, 22, 23, 24, 26, 28, 32, 35, 38, 39, 38, 35, 31, 26, 21, 17, 14, 12, 11, 9, 8, 7, 6, 5, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 11, 38, 87, 157, 243, 334, 417, 478, 505, 495, 449, 376, 287, 198, 119, 60, 23, 4, 0, 0, 0, 1, 2, 3, 7, 12, 18, 23, 26, 26, 25, 22, 19, 17, 15, 15, 16, 18, 21, 23, 25, 26, 25, 24, 21, 18, 15, 13, 10, 8, 6, 5, 5, 5, 5, 4, 4, 3, 3, 5, 7, 11, 15, 19, 22, 23, 22, 19, 14, 9, 3, 0, 3, 18, 51, 105, 180, 273, 373, 466, 536, 572, 567, 522, 445, 349, 250, 160, 89, 41, 13, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 8, 11, 13, 14, 16, 16, 16, 16, 15, 15, 15, 16, 18, 20, 22, 24, 25, 25, 24, 21, 18, 14, 11, 7, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 15, 39, 78, 129, 189, 251, 304, 341, 356, 346, 313, 264, 206, 148, 98, 59, 33, 17, 9, 7, 7, 7, 8, 9, 9, 9, 8, 7, 5, 3, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 3, 5, 8, 10, 11, 12, 12, 11, 9, 8, 6, 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, 2, 4, 6, 8, 9, 10, 10, 9, 8, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 10, 14, 17, 19, 19, 17, 13, 9, 4, 2, 6, 18, 45, 89, 153, 234, 325, 414, 489, 537, 550, 525, 467, 384, 291, 200, 122, 64, 26, 6, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 15, 40, 81, 136, 200, 265, 322, 363, 381, 373, 341, 290, 227, 161, 101, 54, 23, 5, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 3, 6, 10, 14, 17, 20, 22, 23, 23, 22, 19, 15, 10, 8, 14, 33, 72, 133, 215, 311, 408, 495, 556, 583, 572, 524, 449, 359, 267, 184, 116, 67, 35, 18, 11, 10, 11, 14, 16, 19, 23, 27, 31, 35, 37, 37, 36, 34, 32, 29, 28, 27, 27, 27, 27, 28, 29, 30, 29, 27, 22, 16, 10, 8, 12, 29, 61, 112, 182, 266, 356, 443, 512, 553, 558, 528, 467, 385, 297, 212, 141, 88, 51, 29, 17, 10, 6, 3, 3, 6, 18, 41, 79, 133, 203, 283, 362, 431, 479, 496, 480, 434, 365, 283, 201, 128, 72, 34, 12, 2, 0, 0, 0, 9, 29, 66, 122, 194, 278, 362, 436, 491, 517, 511, 474, 412, 333, 248, 168, 101, 51, 20, 4, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 8, 23, 48, 83, 127, 176, 225, 267, 295, 307, 299, 273, 232, 183, 131, 84, 47, 21, 6, 0, 0, 0, 0, 0, 0, 0, 2, 5, 8, 11, 13, 14, 14, 13, 12, 9, 7, 5, 3, 1, 0, 0, 1, 2, 2, 3, 4, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 9, 12, 13, 14, 14, 14, 13, 12, 10, 9, 7, 5, 4, 2, 1, 1, 0, 0, 0, 0, 3, 12, 32, 66, 114, 177, 250, 326, 394, 445, 470, 467, 435, 381, 313, 241, 173, 117, 74, 44, 26, 15, 10, 8, 7, 9, 14, 27, 50, 87, 139, 204, 276, 347, 405, 442, 452, 434, 393, 340, 287, 248, 229, 237, 268, 314, 365, 408, 434, 436, 413, 371, 319, 269, 233, 219, 230, 264, 314, 366, 410, 434, 432, 403, 351, 284, 213, 146, 90, 48, 22, 7, 1, 0, 0, 0, 0, 0, 0, 1, 3, 4, 5, 6, 6, 7, 8, 8, 9, 8, 7, 6, 4, 3, 2, 1, 0, 0, 1, 9, 29, 65, 118, 187, 267, 350, 425, 479, 507, 502, 467, 407, 332, 251, 175, 110, 60, 27, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 5, 7, 10, 14, 17, 21, 26, 29, 31, 31, 29, 25, 20, 17, 18, 26, 45, 78, 126, 190, 265, 345, 420, 481, 516, 522, 498, 449, 388, 327, 279, 253, 254, 279, 322, 369, 411, 436, 439, 417, 375, 317, 253, 190, 134, 90, 58, 38, 26, 21, 20, 19, 18, 17, 15, 13, 12, 11, 10, 9, 8, 7, 6, 6, 7, 7, 7, 7, 6, 5, 4, 4, 4, 4, 3, 2, 1, 0, 2, 8, 21, 44, 77, 119, 167, 216, 261, 295, 313, 313, 296, 263, 219, 170, 122, 80, 46, 22, 7, 0, 0, 1, 11, 31, 64, 112, 176, 252, 334, 413, 478, 521, 534, 517, 475, 418, 358, 309, 282, 281, 304, 346, 393, 434, 458, 460, 438, 398, 352, 309, 281, 273, 287, 319, 361, 401, 431, 442, 432, 403, 362, 318, 282, 262, 263, 286, 324, 368, 408, 433, 437, 415, 372, 312, 245, 178, 120, 73, 39, 18, 6, 0, 0, 0, 1, 2, 4, 5, 5, 5, 4, 4, 3, 2, 1, 1, 1, 2, 4, 6, 8, 11, 14, 16, 18, 18, 17, 15, 13, 12, 14, 23, 44, 78, 128, 193, 267, 344, 415, 471, 505, 512, 491, 445, 381, 305, 227, 154, 94, 49, 20, 5, 0, 0, 0, 0, 6, 18, 40, 73, 116, 167, 220, 269, 310, 338, 348, 340, 317, 284, 250, 223, 208, 211, 229, 259, 293, 323, 340, 341, 324, 290, 244, 191, 138, 90, 52, 25, 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, 1, 2, 3, 4, 4, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 5, 15, 32, 58, 93, 136, 183, 229, 271, 301, 317, 316, 297, 264, 221, 173, 126, 83, 49, 25, 9, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 14, 31, 57, 92, 135, 182, 229, 269, 298, 313, 311, 293, 262, 222, 178, 135, 97, 65, 41, 25, 15, 10, 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, 1, 9, 25, 52, 92, 145, 206, 271, 334, 386, 422, 436, 428, 398, 351, 290, 224, 160, 103, 58, 26, 8, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 9, 11, 14, 17, 19, 21, 23, 24, 23, 22, 21, 20, 19, 18, 19, 19, 21, 22, 23, 23, 23, 22, 20, 17, 14, 10, 7, 4, 2, 0, 0, 0, 0, 0, 1, 2, 4, 7, 10, 14, 17, 20, 22, 22, 22, 20, 18, 16, 14, 12, 10, 7, 5, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 9, 12, 15, 18, 20, 21, 21, 21, 20, 20, 19, 19, 19, 19, 19, 20, 21, 22, 23, 24, 23, 22, 21, 19, 18, 17, 18, 19, 20, 22, 23, 23, 23, 22, 20, 18, 15, 13, 11, 9, 7, 5, 4, 3, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 8, 12, 14, 16, 18, 19, 19, 19, 18, 17, 16, 15, 14, 14, 15, 17, 19, 20, 20, 18, 15, 12, 9, 6, 4, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 9, 20, 37, 62, 94, 131, 172, 213, 248, 275, 288, 288, 274, 248, 213, 175, 137, 102, 73, 50, 34, 24, 18, 15, 13, 12, 12, 11, 10, 9, 8, 7, 6, 6, 6, 6, 8, 10, 13, 17, 20, 22, 24, 25, 26, 26, 26, 27, 27, 27, 27, 27, 28, 29, 31, 33, 34, 34, 33, 32, 31, 32, 38, 51, 72, 103, 147, 201, 262, 327, 387, 436, 465, 473, 457, 421, 369, 308, 245, 186, 134, 93, 63, 42, 30, 23, 20, 19, 19, 20, 21, 24, 27, 30, 31, 31, 30, 27, 23, 19, 16, 12, 10, 8, 7, 6, 6, 6, 6, 5, 4, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 5, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 9, 12, 19, 30, 47, 72, 106, 146, 192, 239, 284, 323, 350, 363, 361, 343, 311, 270, 225, 179, 137, 101, 72, 50, 34, 22, 15, 11, 9, 9, 9, 9, 8, 7, 6, 5, 4, 4, 4, 3, 3, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 3, 5, 6, 8, 8, 8, 8, 7, 6, 5, 4, 4, 5, 8, 14, 26, 44, 70, 104, 144, 188, 232, 272, 302, 321, 325, 314, 291, 257, 216, 172, 129, 91, 59, 34, 16, 6, 1, 1, 7, 17, 33, 55, 83, 116, 153, 191, 228, 258, 278, 286, 281, 263, 234, 199, 161, 123, 90, 61, 40, 24, 16, 14, 19, 32, 55, 88, 131, 183, 240, 297, 351, 395, 425, 437, 430, 404, 364, 313, 258, 204, 155, 113, 81, 57, 41, 30, 25, 23, 28, 38, 57, 84, 120, 164, 214, 267, 318, 362, 394, 410, 409, 389, 354, 308, 255, 200, 149, 105, 70, 43, 24, 12, 5, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 3, 4, 6, 7, 9, 11, 13, 14, 15, 16, 17, 19, 20, 20, 21, 21, 20, 20, 21, 21, 22, 24, 25, 26, 27, 27, 27, 27, 26, 25, 24, 22, 21, 20, 20, 21, 21, 22, 22, 22, 21, 19, 17, 15, 13, 11, 9, 7, 5, 5, 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, 2, 4, 6, 9, 12, 14, 17, 19, 20, 21, 21, 20, 18, 15, 13, 10, 8, 7, 6, 6, 6, 6, 6, 6, 7, 8, 10, 11, 14, 16, 19, 21, 22, 23, 22, 21, 20, 19, 18, 17, 15, 14, 12, 10, 8, 6, 5, 5, 8, 15, 26, 42, 66, 96, 135, 180, 231, 283, 332, 373, 401, 412, 405, 382, 345, 299, 250, 201, 155, 116, 84, 58, 39, 25, 17, 11, 9, 7, 6, 6, 6, 6, 6, 6, 6, 5, 5, 4, 3, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 11, 17, 27, 42, 62, 89, 122, 159, 198, 235, 267, 291, 304, 305, 294, 274, 245, 212, 178, 145, 115, 89, 67, 51, 39, 32, 32, 37, 49, 67, 92, 124, 161, 203, 246, 287, 322, 347, 358, 354, 335, 304, 264, 220, 175, 133, 97, 67, 44, 27, 16, 9, 6, 3, 2, 1, 1, 1, 1, 2, 3, 3, 4, 4, 5, 7, 12, 20, 32, 49, 70, 95, 125, 156, 189, 220, 246, 263, 270, 266, 250, 225, 194, 161, 128, 98, 71, 49, 32, 20, 12, 7, 6, 6, 7, 9, 10, 12, 14, 16, 18, 19, 20, 21, 21, 21, 22, 23, 24, 25, 26, 27, 28, 28, 28, 28, 27, 26, 25, 24, 24, 23, 24, 24, 23, 23, 21, 20, 18, 16, 15, 14, 13, 12, 10, 8, 5, 3, 2, 2, 2, 3, 4, 5, 6, 8, 9, 11, 12, 14, 15, 15, 15, 15, 14, 13, 12, 12, 11, 10, 9, 8, 6, 5, 4, 3, 2, 2, 4, 7, 13, 23, 37, 56, 82, 113, 148, 187, 224, 258, 286, 304, 312, 308, 292, 267, 235, 199, 162, 128, 98, 75, 56, 43, 33, 26, 21, 18, 18, 19, 22, 25, 27, 28, 26, 24, 21, 19, 17, 16, 15, 14, 11, 9, 6, 5, 4, 5, 7, 9, 12, 14, 15, 17, 19, 21, 23, 25, 27, 27, 27, 26, 25, 24, 23, 24, 25, 26, 27, 28, 27, 25, 23, 20, 18, 16, 15, 13, 11, 8, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 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, 1, 2, 4, 6, 7, 8, 8, 8, 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, 2, 7, 14, 25, 40, 59, 83, 110, 140, 170, 198, 221, 239, 248, 248, 240, 223, 201, 173, 144, 115, 87, 62, 42, 26, 15, 7, 3, 2, 1, 1, 2, 2, 2, 2, 2, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 14, 15, 16, 16, 16, 16, 15, 15, 14, 13, 13, 12, 11, 10, 10, 10, 12, 16, 22, 31, 45, 63, 87, 119, 157, 202, 250, 298, 343, 380, 405, 416, 412, 394, 363, 322, 276, 227, 180, 136, 100, 70, 48, 33, 24, 19, 18, 18, 20, 22, 24, 26, 27, 29, 31, 34, 38, 43, 51, 63, 80, 104, 136, 174, 218, 262, 305, 341, 368, 383, 387, 379, 360, 332, 296, 254, 210, 167, 128, 95, 69, 49, 35, 26, 21, 18, 18, 20, 22, 24, 26, 27, 27, 27, 27, 27, 26, 25, 23, 20, 17, 14, 11, 10, 8, 8, 7, 6, 5, 4, 3, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 3, 4, 4, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16, 16, 17, 17, 18, 18, 19, 21, 23, 25, 26, 27, 28, 28, 28, 27, 27, 27, 27, 27, 28, 29, 30, 31, 33, 35, 38, 44, 53, 66, 85, 110, 141, 178, 220, 264, 308, 347, 378, 397, 403, 395, 374, 343, 304, 261, 217, 175, 137, 103, 74, 51, 33, 19, 10, 4, 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, 1, 2, 3, 4, 4, 4, 5, 4, 5, 5, 6, 9, 14, 22, 34, 50, 71, 97, 126, 157, 190, 223, 254, 281, 302, 318, 328, 333, 334, 333, 331, 331, 332, 335, 340, 345, 348, 349, 344, 334, 315, 290, 258, 222, 185, 148, 115, 86, 62, 44, 30, 20, 12, 7, 4, 2, 2, 3, 5, 8, 12, 16, 22, 30, 43, 60, 82, 111, 144, 181, 221, 260, 297, 330, 356, 374, 384, 385, 379, 369, 356, 344, 335, 331, 331, 335, 341, 346, 346, 341, 329, 310, 285, 256, 224, 192, 159, 128, 99, 75, 55, 41, 31, 26, 24, 24, 25, 27, 28, 29, 30, 29, 29, 27, 25, 22, 20, 17, 15, 14, 12, 11, 9, 8, 6, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 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, 0, 0, 1, 3, 7, 12, 18, 26, 35, 47, 64, 86, 113, 144, 180, 216, 252, 285, 312, 330, 340, 338, 326, 305, 277, 243, 207, 170, 136, 104, 78, 56, 38, 24, 15, 8, 4, 1, 1, 1, 1, 1, 2, 2, 2, 4, 6, 10, 16, 24, 33, 46, 61, 80, 101, 124, 147, 169, 188, 202, 211, 214, 211, 202, 189, 171, 150, 127, 104, 82, 64, 49, 38, 30, 25, 22, 21, 20, 21, 22, 24, 26, 27, 28, 28, 27, 26, 25, 23, 21, 20, 18, 16, 15, 14, 14, 14, 14, 14, 15, 16, 18, 20, 22, 24, 25, 26, 26, 26, 27, 30, 36, 44, 56, 71, 90, 114, 143, 178, 217, 259, 300, 336, 367, 388, 401, 407, 405, 400, 391, 380, 369, 360, 354, 354, 358, 365, 373, 378, 377, 368, 350, 324, 293, 258, 223, 187, 154, 123, 95, 71, 53, 40, 32, 28, 27, 27, 27, 28, 28, 28, 28, 29, 29, 29, 29, 28, 26, 24, 22, 19, 17, 15, 13, 12, 12, 12, 13, 15, 16, 17, 18, 20, 21, 23, 26, 28, 30, 32, 33, 33, 32, 31, 31, 30, 30, 30, 31, 31, 32, 33, 32, 32, 31, 30, 30, 30, 31, 32, 33, 33, 33, 32, 32, 31, 31, 32, 33, 34, 34, 35, 35, 35, 34, 33, 32, 32, 32, 34, 36, 40, 46, 53, 63, 77, 97, 122, 153, 188, 226, 265, 303, 337, 367, 390, 403, 407, 398, 379, 350, 314, 275, 236, 200, 168, 141, 118, 99, 85, 76, 75, 80, 94, 115, 141, 172, 205, 240, 275, 308, 338, 361, 377, 381, 375, 359, 334, 303, 269, 235, 201, 169, 140, 114, 92, 74, 60, 51, 45, 42, 40, 39, 38, 37, 36, 34, 33, 32, 31, 30, 28, 25, 22, 19, 17, 16, 14, 13, 12, 12, 13, 14, 16, 18, 20, 22, 24, 26, 27, 29, 31, 32, 32, 32, 31, 30, 30, 30, 30, 31, 32, 31, 31, 30, 28, 27, 25, 24, 22, 20, 17, 15, 13, 11, 9, 8, 7, 6, 6, 6, 6, 5, 5, 4, 4, 3, 3, 3, 3, 3, 2, 2, 1, 0, 1, 1, 2, 3, 4, 5, 5, 4, 4, 3, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 4, 5, 7, 9, 12, 16, 21, 27, 35, 46, 61, 80, 102, 128, 157, 187, 218, 246, 271, 291, 304, 309, 307, 297, 280, 258, 232, 205, 177, 151, 128, 108, 93, 82, 76, 75, 79, 89, 103, 123, 148, 177, 209, 241, 272, 299, 320, 333, 337, 333, 322, 303, 278, 250, 218, 185, 152, 121, 93, 70, 50, 36, 24, 16, 11, 7, 4, 3, 3, 3, 3, 3, 4, 5, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 32, 37, 44, 53, 64, 79, 96, 118, 142, 170, 200, 231, 262, 289, 312, 329, 337, 337, 328, 311, 287, 259, 228, 196, 164, 133, 104, 80, 59, 44, 33, 28, 25, 25, 25, 25, 25, 24, 24, 23, 24, 25, 25, 26, 25, 24, 22, 20, 17, 16, 15, 17, 19, 24, 31, 40, 53, 69, 89, 112, 139, 168, 200, 232, 262, 290, 311, 325, 330, 327, 315, 297, 275, 249, 221, 193, 165, 138, 115, 97, 84, 77, 77, 83, 94, 110, 130, 154, 181, 209, 237, 263, 286, 302, 313, 315, 310, 296, 276, 251, 221, 189, 158, 128, 102, 79, 60, 44, 31, 21, 13, 7, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 10, 14, 20, 27, 38, 51, 69, 91, 117, 146, 178, 209, 240, 270, 297, 321, 342, 357, 366, 369, 367, 361, 352, 342, 334, 328, 325, 324, 325, 326, 327, 327, 326, 323, 320, 317, 316, 317, 320, 324, 328, 331, 331, 328, 320, 308, 293, 274, 253, 228, 202, 175, 148, 122, 98, 77, 59, 44, 32, 21, 13, 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, 1, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 13, 14, 13, 12, 11, 10, 9, 8, 8, 7, 7, 6, 6, 5, 5, 5, 6, 7, 8, 9, 11, 13, 15, 16, 17, 18, 19, 19, 18, 18, 18, 19, 19, 20, 21, 21, 21, 20, 18, 16, 15, 13, 12, 12, 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, 1, 2, 3, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 15, 15, 14, 13, 11, 10, 9, 8, 7, 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, 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, 7, 7, 7, 7, 7, 6, 6, 6, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 7, 9, 13, 17, 23, 30, 39, 51, 66, 82, 101, 121, 141, 160, 177, 191, 201, 207, 209, 205, 198, 188, 175, 160, 144, 126, 108, 91, 76, 64, 56, 52, 53, 56, 63, 73, 85, 100, 116, 133, 151, 168, 184, 198, 207, 213, 213, 208, 199, 187, 172, 156, 139, 121, 103, 86, 69, 55, 43, 35, 30, 26, 24, 22, 21, 19, 18, 18, 19, 20, 21, 21, 21, 19, 18, 16, 14, 13, 13, 12, 12, 11, 11, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21, 22, 23, 23, 23, 23, 21, 18, 16, 14, 12, 11, 12, 12, 13, 13, 12, 11, 9, 8, 7, 6, 6, 6, 7, 7, 7, 8, 8, 8, 7, 7, 7, 6, 6, 6, 7, 7, 9, 10, 11, 13, 14, 16, 17, 17, 17, 16, 15, 14, 14, 13, 13, 12, 12, 12, 11, 10, 9, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 8, 8, 9, 10, 10, 11, 13, 14, 16, 18, 20, 22, 24, 27, 32, 39, 48, 59, 71, 86, 103, 123, 146, 172, 200, 229, 257, 282, 304, 320, 331, 336, 335, 328, 315, 297, 276, 250, 223, 195, 167, 140, 116, 95, 77, 63, 51, 42, 35, 30, 26, 23, 22, 21, 21, 22, 22, 22, 22, 21, 19, 17, 14, 12, 10, 8, 7, 6, 5, 5, 5, 5, 4, 4, 3, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 3, 4, 5, 6, 7, 8, 9, 10, 13, 18, 24, 32, 41, 52, 65, 80, 98, 117, 139, 161, 184, 206, 226, 244, 258, 269, 276, 278, 275, 269, 258, 244, 227, 208, 188, 168, 148, 131, 116, 106, 100, 99, 102, 108, 118, 130, 145, 161, 179, 198, 217, 234, 249, 259, 264, 264, 260, 251, 238, 223, 206, 186, 165, 144, 122, 101, 82, 65, 51, 40, 32, 26, 22, 19, 17, 15, 15, 15, 15, 16, 16, 16, 15, 13, 12, 11, 10, 10, 9, 9, 8, 6, 4, 2, 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 6, 7, 8, 10, 11, 14, 16, 18, 20, 22, 24, 26, 29, 34, 40, 49, 60, 73, 86, 100, 115, 132, 150, 171, 195, 220, 245, 269, 289, 305, 313, 315, 311, 302, 288, 273, 255, 237, 218, 198, 180, 163, 149, 139, 134, 135, 142, 154, 170, 190, 212, 236, 260, 284, 306, 325, 339, 348, 352, 350, 344, 333, 317, 297, 273, 247, 219, 191, 163, 138, 115, 95, 78, 65, 55, 47, 41, 36, 33, 31, 30, 31, 34, 39, 45, 52, 61, 71, 83, 97, 114, 133, 153, 172, 191, 209, 225, 240, 255, 268, 280, 291, 301, 310, 317, 324, 331, 338, 346, 353, 361, 369, 376, 381, 383, 382, 378, 372, 366, 362, 359, 359, 359, 358, 355, 349, 341, 331, 320, 307, 293, 277, 258, 237, 214, 191, 168, 146, 126, 107, 90, 74, 61, 49, 39, 31, 26, 21, 18, 16, 14, 12, 11, 10, 10, 9, 9, 9, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20, 22, 23, 25, 26, 26, 26, 26, 25, 24, 24, 25, 26, 27, 28, 29, 29, 28, 27, 25, 23, 21, 20, 19, 18, 18, 18, 18, 18, 19, 20, 20, 21, 21, 21, 20, 20, 20, 21, 21, 22, 23, 23, 23, 23, 21, 20, 19, 17, 16, 16, 16, 15, 15, 15, 14, 13, 13, 13, 13, 14, 14, 14, 15, 16, 17, 17, 18, 18, 18, 17, 15, 14, 13, 13, 12, 12, 12, 11, 10, 9, 8, 7, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 3, 2, 1, 1, 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, 1, 1, 2, 3, 3, 3, 2, 2, 1, 1, 2, 2, 3, 4, 4, 3, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 13, 15, 16, 17, 18, 20, 21, 23, 25, 26, 28, 29, 30, 31, 33, 34, 36, 38, 40, 42, 44, 47, 50, 54, 59, 65, 73, 83, 95, 109, 125, 143, 163, 184, 204, 223, 240, 254, 266, 274, 280, 282, 283, 280, 275, 268, 257, 244, 227, 209, 189, 169, 151, 135, 121, 109, 97, 86, 75, 65, 56, 50, 45, 42, 40, 38, 35, 32, 28, 24, 21, 19, 18, 18, 18, 17, 16, 15, 13, 11, 9, 7, 6, 5, 5, 5, 5, 4, 4, 4, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 3, 3, 4, 5, 6, 7, 8, 10, 12, 14, 17, 21, 26, 32, 40, 49, 60, 72, 86, 102, 120, 137, 154, 171, 186, 200, 212, 223, 233, 240, 244, 246, 244, 238, 229, 217, 203, 187, 171, 154, 138, 123, 109, 96, 84, 74, 64, 56, 49, 43, 39, 35, 33, 31, 29, 28, 27, 26, 24, 22, 20, 18, 16, 15, 14, 15, 15, 16, 16, 16, 16, 15, 15, 15, 16, 17, 19, 22, 26, 31, 38, 44, 52, 60, 68, 78, 90, 103, 118, 134, 150, 168, 185, 202, 219, 234, 248, 261, 273, 284, 294, 303, 311, 317, 321, 322, 321, 317, 309, 300, 288, 274, 258, 241, 224, 207, 190, 173, 158, 143, 130, 119, 109, 101, 94, 87, 81, 75, 69, 66, 64, 63, 65, 67, 71, 74, 79, 84, 90, 97, 104, 111, 117, 122, 126, 130, 134, 138, 143, 147, 150, 153, 154, 155, 155, 154, 153, 153, 152, 151, 150, 150, 149, 150, 152, 154, 159, 164, 171, 180, 189, 199, 209, 218, 227, 235, 241, 246, 249, 252, 253, 253, 251, 248, 243, 238, 232, 225, 217, 208, 199, 188, 177, 165, 155, 145, 135, 127, 118, 110, 102, 95, 91, 88, 88, 91, 95, 101, 108, 116, 126, 137, 151, 166, 182, 198, 212, 223, 233, 239, 243, 244, 242, 238, 231, 222, 212, 203, 196, 191, 191, 194, 202, 213, 228, 245, 263, 281, 298, 310, 318, 318, 310, 295, 273, 245, 216, 185, 156, 130, 108, 89, 74, 60, 48, 39, 32, 31, 40, 59, 88, 123, 158, 185, 198, 192, 171, 138, 103, 71, 48, 36, 31, 31, 33, 34, 34, 33, 31, 30, 30, 31, 32, 32, 33, 32, 32, 31, 30, 29, 28, 27, 27, 26, 26, 25, 25, 25, 25, 25, 25, 24, 23, 22, 21, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 19, 19, 18, 18, 16, 15, 14, 13, 13, 13, 14, 14, 15, 15, 15, 14, 14, 13, 12, 12, 11, 11, 11, 11, 12, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 11, 11, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 9, 10, 11, 12, 13, 12, 11, 10, 9, 8, 8, 9, 11, 12, 14, 15, 16, 16, 17, 17, 17, 18, 18, 18, 18, 18, 19, 21, 22, 24, 25, 26, 26, 26, 27, 28, 30, 31, 33, 34, 35, 36, 37, 40, 43, 46, 48, 50, 51, 52, 54, 55, 57, 60, 63, 65, 68, 70, 73, 76, 79, 82, 86, 91, 95, 100, 104, 108, 113, 117, 121, 125, 130, 136, 142, 149, 158, 167, 177, 189, 201, 214, 226, 236, 244, 251, 255, 258, 260, 260, 260, 258, 255, 252, 247, 243, 240, 236, 234, 231, 228, 225, 222, 219, 216, 214, 212, 210, 209, 207, 205, 203, 201, 199, 197, 196, 195, 195, 196, 197, 197, 197, 195, 192, 188, 185, 184, 184, 186, 188, 190, 190, 189, 187, 184, 182, 181, 182, 184, 186, 187, 186, 185, 182, 180, 179, 178, 178, 179, 178, 177, 175, 173, 171, 170, 170, 171, 173, 173, 172, 170, 167, 163, 160, 158, 157, 156, 156, 155, 154, 152, 150, 148, 145, 144, 142, 141, 140, 139, 138, 137, 136, 135, 135, 135, 135, 137, 138, 140, 141, 142, 141, 140, 139, 139, 139, 140, 142, 143, 145, 146, 147, 147, 147, 147, 147, 146, 145, 144, 143, 143, 142, 141, 140, 139, 137, 135, 132, 129, 126, 121, 116, 110, 105, 100, 95, 90, 85, 80, 74, 68, 62, 57, 52, 47, 42, 37, 32, 27, 23, 20, 18, 16, 15, 14, 12, 10, 9, 8, 7, 7, 6, 6, 6, 4, 3, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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": [612, 625, 639, 654, 668, 681, 695, 706, 717, 729, 742, 754, 765, 776, 790, 802, 815, 828, 839, 852, 866, 879, 893, 902, 914, 926, 939, 952, 964, 976, 988, 999, 1008, 1019, 1031, 1043, 1053, 1065, 1077, 1090, 1104, 1116, 1127, 1140, 1152, 1163, 1174, 1187, 1200, 1212, 1226, 1239, 1249, 1261, 1271, 1284, 1297, 1308, 1319, 1330, 1342, 1355, 1368, 1380, 1390, 1402, 1414, 1426, 1441, 1452, 1463, 1473, 1486, 1498, 1510, 1523, 1537, 1549, 1560, 1571, 1584, 1596, 1606, 1618, 1630, 1642, 1656, 1667, 1679, 1692, 1704, 1717, 1731, 1742, 1753, 1763, 1775, 1788, 1802, 1814, 1827, 1839, 1851, 1863, 1873, 1884, 1895, 1907, 1919, 1932, 1944, 1954, 1966, 1979, 1990, 2003, 2016, 2029, 2040, 2052, 2064, 2077, 2089, 2101, 2114, 2126, 2136, 2147, 2158, 2169, 2180, 2192, 2204, 2216, 2227, 2238, 2251, 2263, 2275, 2286, 2299, 2312, 2323, 2334, 2346, 2358, 2371, 2383, 2395, 2406, 2417, 2429, 2440, 2453, 2466, 2477, 2489, 2500, 2512, 2525, 2538, 2550, 2561, 2572, 2584, 2597, 2609, 2621, 2632, 2645, 2657, 2669, 2681, 2693, 2705, 2716, 2728, 2740, 2752, 2763, 2775, 2787, 2800, 2812, 2822, 2835, 2847, 2859, 2871, 2884, 2896, 2908, 2919, 2932, 2943, 2956, 2967, 2979, 2992, 3004, 3016, 3028, 3040, 3051, 3063, 3074, 3086, 3098, 3111, 3124, 3135, 3148, 3160, 3172, 3183, 3194, 3207, 3218, 3230, 3242, 3255, 3266, 3278, 3291, 3303, 3315, 3328, 3341, 3351, 3363, 3374, 3385, 3398, 3410, 3421, 3434, 3446, 3458, 3470, 3482, 3494, 3504, 3515, 3528, 3539, 3551, 3564, 3577, 3589, 3602, 3612, 3624, 3635, 3647, 3660, 3673, 3685, 3695, 3707, 3719, 3731, 3743, 3756, 3767, 3779, 3791, 3803, 3816, 3828, 3839, 3852, 3864, 3876, 3888, 3900, 3913, 3926, 3937, 3949, 3961, 3972, 3984, 3995, 4006, 4019, 4032, 4043, 4055, 4066, 4078, 4090, 4102, 4114, 4125, 4136, 4148, 4160, 4172, 4185, 4198, 4210, 4220, 4232, 4245, 4257, 4269, 4281, 4294, 4306, 4319, 4330, 4342, 4355, 4366, 4377, 4388, 4400, 4413, 4426, 4438, 4449, 4461, 4473, 4485, 4497, 4509, 4521, 4531, 4543, 4555, 4567, 4579, 4591, 4603, 4615, 4627, 4638, 4650, 4663, 4674, 4686, 4698, 4710, 4722, 4733, 4744, 4756, 4768, 4780, 4794, 4806, 4817, 4829, 4841, 4852, 4863, 4876, 4888, 4901, 4913, 4925, 4938, 4950, 4962, 4973, 4985, 4996, 5007, 5020, 5032, 5044, 5056, 5067, 5079, 5091, 5103, 5115, 5127, 5138, 5149, 5162, 5174, 5188, 5199, 5212, 5223, 5235, 5246, 5258, 5270, 5281, 5293, 5305, 5318, 5331, 5343, 5356, 5367, 5378, 5391, 5403, 5416, 5428, 5441, 5452, 5464, 5475, 5487, 5499, 5510, 5522, 5534, 5546, 5559, 5571, 5582, 5593, 5605, 5616, 5628, 5641, 5653, 5665, 5676, 5688, 5701, 5713, 5724, 5736, 5749, 5761, 5773, 5784, 5797, 5808, 5820, 5832, 5844, 5856, 5869, 5882, 5894, 5906, 5919, 5930, 5943, 5953, 5965, 5978, 5990, 6002, 6014, 6026, 6039, 6052, 6063, 6076, 6088, 6099, 6110, 6122, 6135, 6148, 6160, 6171, 6183, 6196, 6207, 6219, 6231, 6243, 6254, 6266, 6277, 6290, 6302, 6315, 6328, 6340, 6351, 6363, 6375, 6387, 6400, 6412, 6425, 6437, 6449, 6460, 6471, 6483, 6495, 6507, 6520, 6533, 6544, 6557, 6568, 6579, 6591, 6604, 6616, 6628, 6641, 6653, 6664, 6676, 6686, 6698, 6711, 6724, 6735, 6747, 6760, 6773, 6785, 6797, 6809, 6820, 6833, 6845, 6857, 6870, 6882, 6893, 6905, 6918, 6931, 6943, 6955, 6968, 6981, 6992, 7004, 7016, 7028, 7041, 7054, 7066, 7077, 7088, 7101, 7114, 7126, 7138, 7149, 7162, 7174, 7187, 7199, 7213, 7224, 7236, 7247, 7259, 7271, 7284, 7297, 7309, 7321, 7333, 7345, 7357, 7370, 7382, 7394, 7406, 7418, 7431, 7442, 7454, 7465, 7477, 7490, 7503, 7515, 7528, 7539, 7551, 7564, 7576, 7588, 7600, 7613, 7625, 7638, 7650, 7663, 7675, 7687, 7699, 7709, 7721, 7733, 7746, 7757, 7769, 7781, 7794, 7805, 7817, 7830, 7843, 7857, 7869, 7881, 7894, 7907, 7917, 7930, 7941, 7954, 7967, 7980, 7992, 8006, 8018, 8030, 8042, 8054, 8066, 8078, 8091, 8103, 8116, 8129, 8141, 8154, 8167, 8178, 8190, 8203, 8215, 8227, 8241, 8253, 8266, 8278, 8289, 8302, 8315, 8327, 8340, 8352, 8364, 8376, 8388, 8400, 8412, 8425, 8438, 8451, 8463, 8475, 8487, 8499, 8510, 8524, 8536, 8548, 8561, 8574, 8586, 8599, 8613, 8624, 8637, 8648, 8661, 8673, 8686, 8699, 8712, 8724, 8737, 8750, 8762, 8775, 8787, 8799, 8812, 8824, 8836, 8849, 8861, 8873, 8886, 8898, 8910, 8922, 8935, 8949, 8961, 8973, 8985, 8997, 9010, 9022, 9035, 9048, 9061, 9074, 9088, 9099, 9112, 9124, 9136, 9149, 9161, 9174, 9187, 9199, 9211, 9223, 9237, 9250, 9262, 9274, 9285, 9298, 9311, 9323, 9336, 9348, 9362, 9375, 9387, 9400, 9413, 9425, 9437, 9449, 9462, 9475, 9489, 9500, 9513, 9525, 9538, 9550, 9563, 9576, 9587, 9600, 9613, 9625, 9637, 9649, 9662, 9676, 9688, 9700, 9715, 9727, 9741, 9753, 9766, 9780, 9793, 9806, 9819, 9833, 9844, 9856, 9870, 9883, 9896, 9910, 9923, 9934, 9947, 9959, 9970, 9984, 9999, 10012, 10025, 10037, 10051, 10064, 10076, 10089, 10102, 10115, 10129, 10141, 10153, 10166, 10178, 10192, 10204, 10217, 10231, 10244, 10258, 10272, 10283],
"basecalls": {"612":"1:G", "625":"2:T", "639":"3:G", "654":"4:G", "668":"5:G", "681":"6:G", "695":"7:G", "706":"8:C", "717":"9:A", "729":"10:G", "742":"11:T", "754":"12:A", "765":"13:A", "776":"14:C", "790":"15:G", "802":"16:T", "815":"17:C", "828":"18:T", "839":"19:A", "852":"20:G", "866":"21:G", "879":"22:G", "893":"23:A", "902":"24:C", "914":"25:G", "926":"26:C", "939":"27:T", "952":"28:C", "964":"29:T", "976":"30:C", "988":"31:C", "999":"32:C", "1008":"33:A", "1019":"34:A", "1031":"35:A", "1043":"36:C", "1053":"37:A", "1065":"38:C", "1077":"39:C", "1090":"40:G", "1104":"41:A", "1116":"42:A", "1127":"43:G", "1140":"44:C", "1152":"45:C", "1163":"-", "1174":"46:A", "1187":"47:G", "1200":"48:T", "1212":"49:G", "1226":"50:G", "1239":"51:A", "1249":"52:C", "1261":"53:C", "1271":"54:A", "1284":"55:G", "1297":"56:C", "1308":"57:A", "1319":"58:C", "1330":"59:A", "1342":"60:C", "1355":"61:T", "1368":"62:C", "1380":"63:C", "1390":"64:A", "1402":"65:A", "1414":"66:G", "1426":"67:G", "1441":"68:A", "1452":"69:A", "1463":"70:A", "1473":"71:T", "1486":"72:C", "1498":"73:C", "1510":"74:C", "1523":"75:G", "1537":"76:G", "1549":"77:C", "1560":"78:A", "1571":"79:C", "1584":"80:T", "1596":"81:C", "1606":"82:A", "1618":"83:C", "1630":"84:C", "1642":"85:G", "1656":"86:C", "1667":"87:A", "1679":"88:G", "1692":"89:T", "1704":"90:G", "1717":"91:G", "1731":"92:A", "1742":"93:A", "1753":"94:A", "1763":"95:C", "1775":"96:T", "1788":"97:G", "1802":"98:G", "1814":"99:G", "1827":"100:G", "1839":"101:C", "1851":"102:T", "1863":"103:A", "1873":"104:C", "1884":"105:A", "1895":"106:A", "1907":"107:A", "1919":"108:T", "1932":"109:C", "1944":"110:C", "1954":"111:A", "1966":"112:C", "1979":"113:T", "1990":"114:A", "2003":"115:G", "2016":"116:T", "2029":"117:T", "2040":"118:C", "2052":"119:C", "2064":"120:T", "2077":"121:T", "2089":"122:C", "2101":"123:T", "2114":"124:G", "2126":"125:A", "2136":"126:T", "2147":"127:A", "2158":"128:C", "2169":"129:A", "2180":"130:A", "2192":"131:T", "2204":"132:A", "2216":"133:C", "2227":"134:A", "2238":"135:A", "2251":"136:A", "2263":"137:C", "2275":"138:C", "2286":"139:A", "2299":"140:G", "2312":"141:A", "2323":"142:C", "2334":"143:A", "2346":"144:T", "2358":"145:G", "2371":"146:T", "2383":"147:T", "2395":"148:A", "2406":"149:T", "2417":"150:A", "2429":"151:C", "2440":"152:A", "2453":"153:G", "2466":"154:C", "2477":"155:A", "2489":"156:C", "2500":"157:A", "2512":"158:G", "2525":"159:G", "2538":"160:T", "2550":"161:C", "2561":"162:A", "2572":"163:A", "2584":"164:G", "2597":"165:G", "2609":"166:T", "2621":"167:C", "2632":"168:A", "2645":"169:G", "2657":"170:A", "2669":"171:G", "2681":"172:T", "2693":"173:C", "2705":"174:T", "2716":"175:A", "2728":"176:G", "2740":"177:C", "2752":"178:A", "2763":"179:T", "2775":"180:A", "2787":"181:G", "2800":"182:A", "2812":"183:A", "2822":"184:T", "2835":"185:C", "2847":"186:T", "2859":"187:T", "2871":"188:T", "2884":"189:C", "2896":"190:T", "2908":"191:T", "2919":"192:C", "2932":"193:G", "2943":"194:C", "2956":"195:G", "2967":"196:C", "2979":"197:G", "2992":"198:G", "3004":"199:G", "3016":"200:G", "3028":"201:T", "3040":"202:G", "3051":"203:C", "3063":"204:A", "3074":"205:T", "3086":"206:G", "3098":"207:C", "3111":"208:G", "3124":"209:T", "3135":"210:G", "3148":"211:G", "3160":"212:C", "3172":"213:C", "3183":"214:A", "3194":"215:T", "3207":"216:T", "3218":"217:A", "3230":"218:T", "3242":"219:G", "3255":"220:A", "3266":"221:C", "3278":"222:C", "3291":"223:G", "3303":"224:T", "3315":"225:G", "3328":"226:G", "3341":"227:A", "3351":"228:T", "3363":"229:A", "3374":"230:A", "3385":"231:C", "3398":"232:T", "3410":"233:C", "3421":"234:A", "3434":"235:G", "3446":"236:T", "3458":"237:T", "3470":"238:T", "3482":"239:C", "3494":"240:C", "3504":"241:A", "3515":"242:C", "3528":"243:T", "3539":"244:A", "3551":"-", "3564":"245:G", "3577":"246:T", "3589":"247:G", "3602":"248:A", "3612":"249:T", "3624":"250:A", "3635":"-", "3647":"251:A", "3660":"252:G", "3673":"253:G", "3685":"254:A", "3695":"255:T", "3707":"256:A", "3719":"257:A", "3731":"258:G", "3743":"259:C", "3756":"260:T", "3767":"261:A", "3779":"262:T", "3791":"263:T", "3803":"264:T", "3816":"265:G", "3828":"266:C", "3839":"267:A", "3852":"268:G", "3864":"269:T", "3876":"270:G", "3888":"271:T", "3900":"272:G", "3913":"273:G", "3926":"274:A", "3937":"275:A", "3949":"276:G", "3961":"277:A", "3972":"278:T", "3984":"279:C", "3995":"280:A", "4006":"281:C", "4019":"282:T", "4032":"283:T", "4043":"284:A", "4055":"285:T", "4066":"286:A", "4078":"287:A", "4090":"288:A", "4102":"289:G", "4114":"290:A", "4125":"291:C", "4136":"292:A", "4148":"293:C", "4160":"294:T", "4172":"295:G", "4185":"296:T", "4198":"297:C", "4210":"298:C", "4220":"299:A", "4232":"300:G", "4245":"301:T", "4257":"302:T", "4269":"303:G", "4281":"304:C", "4294":"305:G", "4306":"306:G", "4319":"307:A", "4330":"308:G", "4342":"309:G", "4355":"310:A", "4366":"311:A", "4377":"312:A", "4388":"313:T", "4400":"314:T", "4413":"315:G", "4426":"316:G", "4438":"317:A", "4449":"318:G", "4461":"319:T", "4473":"320:T", "4485":"321:C", "4497":"322:T", "4509":"323:T", "4521":"324:C", "4531":"325:A", "4543":"326:C", "4555":"327:C", "4567":"328:T", "4579":"329:A", "4591":"330:T", "4603":"331:T", "4615":"332:C", "4627":"333:T", "4638":"334:A", "4650":"335:G", "4663":"336:A", "4674":"337:T", "4686":"338:T", "4698":"339:T", "4710":"340:G", "4722":"341:A", "4733":"342:C", "4744":"343:A", "4756":"344:T", "4768":"345:G", "4780":"346:G", "4794":"347:A", "4806":"348:A", "4817":"349:T", "4829":"350:T", "4841":"351:T", "4852":"352:A", "4863":"353:C", "4876":"354:C", "4888":"355:T", "4901":"356:T", "4913":"357:T", "4925":"358:G", "4938":"359:T", "4950":"360:G", "4962":"361:A", "4973":"362:T", "4985":"363:T", "4996":"364:A", "5007":"365:C", "5020":"366:T", "5032":"367:G", "5044":"368:C", "5056":"369:A", "5067":"370:A", "5079":"371:A", "5091":"372:T", "5103":"373:T", "5115":"374:T", "5127":"375:C", "5138":"376:A", "5149":"377:C", "5162":"378:T", "5174":"379:G", "5188":"380:A", "5199":"381:G", "5212":"382:A", "5223":"383:C", "5235":"384:T", "5246":"385:A", "5258":"386:A", "5270":"387:C", "5281":"388:A", "5293":"389:A", "5305":"390:T", "5318":"391:G", "5331":"392:G", "5343":"393:G", "5356":"394:C", "5367":"395:A", "5378":"396:C", "5391":"397:G", "5403":"398:C", "5416":"399:C", "5428":"400:T", "5441":"401:T", "5452":"402:A", "5464":"403:A", "5475":"404:A", "5487":"405:T", "5499":"406:C", "5510":"407:A", "5522":"408:A", "5534":"409:G", "5546":"410:T", "5559":"411:G", "5571":"412:T", "5582":"413:A", "5593":"414:C", "5605":"415:C", "5616":"416:A", "5628":"417:A", "5641":"418:A", "5653":"419:T", "5665":"420:T", "5676":"421:A", "5688":"422:T", "5701":"423:G", "5713":"424:T", "5724":"425:A", "5736":"426:C", "5749":"427:G", "5761":"428:T", "5773":"429:A", "5784":"430:C", "5797":"431:C", "5808":"432:A", "5820":"433:C", "5832":"434:C", "5844":"435:A", "5856":"436:G", "5869":"437:G", "5882":"438:C", "5894":"439:G", "5906":"440:C", "5919":"441:T", "5930":"442:C", "5943":"443:C", "5953":"444:A", "5965":"445:G", "5978":"446:T", "5990":"447:G", "6002":"448:C", "6014":"449:C", "6026":"450:C", "6039":"451:G", "6052":"452:A", "6063":"453:G", "6076":"454:A", "6088":"455:A", "6099":"456:A", "6110":"457:T", "6122":"458:G", "6135":"459:G", "6148":"460:G", "6160":"461:A", "6171":"462:T", "6183":"463:G", "6196":"464:A", "6207":"465:C", "6219":"466:T", "6231":"467:A", "6243":"468:C", "6254":"469:A", "6266":"470:C", "6277":"471:A", "6290":"472:T", "6302":"473:G", "6315":"474:G", "6328":"475:C", "6340":"476:A", "6351":"477:A", "6363":"478:A", "6375":"479:C", "6387":"480:C", "6400":"481:T", "6412":"482:C", "6425":"483:T", "6437":"484:T", "6449":"485:C", "6460":"486:A", "6471":"487:A", "6483":"488:A", "6495":"489:T", "6507":"490:C", "6520":"491:C", "6533":"492:G", "6544":"493:T", "6557":"494:C", "6568":"495:A", "6579":"496:A", "6591":"497:T", "6604":"498:C", "6616":"499:T", "6628":"500:T", "6641":"501:T", "6653":"502:T", "6664":"503:A", "6676":"504:C", "6686":"505:A", "6698":"506:C", "6711":"507:T", "6724":"508:T", "6735":"509:A", "6747":"510:C", "6760":"511:G", "6773":"512:G", "6785":"513:A", "6797":"514:A", "6809":"515:C", "6820":"516:A", "6833":"517:G", "6845":"518:C", "6857":"519:C", "6870":"520:C", "6882":"521:C", "6893":"522:A", "6905":"523:G", "6918":"524:C", "6931":"525:C", "6943":"526:C", "6955":"527:G", "6968":"528:G", "6981":"529:A", "6992":"530:T", "7004":"531:C", "7016":"532:T", "7028":"533:C", "7041":"534:G", "7054":"535:G", "7066":"536:T", "7077":"537:A", "7088":"538:C", "7101":"539:C", "7114":"540:G", "7126":"541:T", "7138":"542:A", "7149":"543:T", "7162":"544:G", "7174":"545:T", "7187":"546:T", "7199":"547:G", "7213":"548:G", "7224":"549:T", "7236":"550:A", "7247":"551:T", "7259":"552:T", "7271":"553:T", "7284":"554:C", "7297":"555:G", "7309":"556:A", "7321":"557:A", "7333":"558:C", "7345":"559:G", "7357":"560:C", "7370":"561:C", "7382":"562:T", "7394":"563:A", "7406":"564:C", "7418":"565:T", "7431":"566:C", "7442":"567:A", "7454":"568:C", "7465":"569:A", "7477":"570:C", "7490":"571:T", "7503":"572:T", "7515":"573:T", "7528":"574:T", "7539":"575:A", "7551":"576:C", "7564":"577:G", "7576":"578:A", "7588":"579:C", "7600":"580:G", "7613":"581:G", "7625":"582:T", "7638":"583:T", "7650":"584:T", "7663":"585:T", "7675":"586:T", "7687":"587:C", "7699":"588:C", "7709":"589:A", "7721":"590:A", "7733":"591:A", "7746":"592:A", "7757":"593:T", "7769":"594:A", "7781":"595:C", "7794":"596:C", "7805":"597:A", "7817":"598:C", "7830":"599:T", "7843":"600:G", "7857":"601:A", "7869":"602:A", "7881":"603:G", "7894":"604:G", "7907":"605:A", "7917":"606:C", "7930":"607:C", "7941":"608:A", "7954":"609:G", "7967":"610:T", "7980":"611:C", "7992":"612:G", "8006":"613:G", "8018":"614:C", "8030":"615:A", "8042":"616:G", "8054":"617:C", "8066":"618:A", "8078":"619:C", "8091":"620:T", "8103":"621:A", "8116":"622:G", "8129":"623:G", "8141":"624:T", "8154":"625:G", "8167":"626:A", "8178":"627:C", "8190":"628:T", "8203":"629:C", "8215":"630:C", "8227":"631:C", "8241":"632:T", "8253":"633:C", "8266":"634:T", "8278":"635:A", "8289":"636:T", "8302":"637:G", "8315":"638:G", "8327":"639:T", "8340":"640:G", "8352":"641:C", "8364":"642:A", "8376":"643:G", "8388":"644:C", "8400":"645:A", "8412":"646:T", "8425":"647:C", "8438":"648:T", "8451":"649:T", "8463":"650:T", "8475":"651:A", "8487":"652:A", "8499":"653:A", "8510":"654:T", "8524":"655:G", "8536":"656:A", "8548":"657:C", "8561":"658:T", "8574":"659:T", "8586":"660:C", "8599":"661:G", "8613":"662:G", "8624":"663:T", "8637":"664:A", "8648":"665:T", "8661":"666:T", "8673":"667:T", "8686":"668:T", "8699":"669:G", "8712":"670:G", "8724":"671:C", "8737":"672:T", "8750":"673:G", "8762":"674:T", "8775":"675:T", "8787":"676:A", "8799":"677:G", "8812":"678:A", "8824":"679:G", "8836":"680:T", "8849":"681:A", "8861":"682:G", "8873":"683:T", "8886":"684:C", "8898":"685:A", "8910":"686:A", "8922":"687:T", "8935":"688:G", "8949":"689:A", "8961":"690:C", "8973":"691:C", "8985":"692:A", "8997":"693:C", "9010":"694:A", "9022":"695:A", "9035":"696:C", "9048":"697:C", "9061":"698:C", "9074":"699:G", "9088":"700:A", "9099":"701:C", "9112":"702:C", "9124":"703:A", "9136":"704:A", "9149":"705:G", "9161":"706:G", "9174":"707:T", "9187":"708:C", "9199":"709:A", "9211":"710:C", "9223":"711:C", "9237":"712:T", "9250":"713:C", "9262":"714:C", "9274":"715:A", "9285":"716:A", "9298":"717:A", "9311":"718:A", "9323":"719:T", "9336":"720:C", "9348":"721:A", "9362":"722:G", "9375":"723:A", "9387":"724:G", "9400":"725:T", "9413":"726:G", "9425":"727:T", "9437":"728:A", "9449":"729:T", "9462":"730:C", "9475":"731:T", "9489":"732:A", "9500":"733:A", "9513":"734:A", "9525":"735:A", "9538":"736:C", "9550":"737:C", "9563":"738:C", "9576":"739:A", "9587":"740:A", "9600":"741:A", "9613":"742:C", "9625":"743:A", "9637":"744:C", "9649":"745:A", "9662":"746:T", "9676":"747:C", "9688":"748:A", "9700":"749:G", "9715":"750:A", "9727":"751:G", "9741":"752:T", "9753":"753:C", "9766":"754:T", "9780":"755:G", "9793":"756:G", "9806":"757:T", "9819":"758:G", "9833":"759:C", "9844":"760:C", "9856":"761:C", "9870":"762:G", "9883":"763:C", "9896":"764:G", "9910":"765:T", "9923":"766:C", "9934":"767:C", "9947":"768:A", "9959":"769:C", "9970":"770:C", "9984":"771:G", "9999":"772:A", "10012":"773:G", "10025":"774:G", "10037":"775:G", "10051":"776:C", "10064":"777:A", "10076":"778:G", "10089":"779:T", "10102":"780:G", "10115":"781:G", "10129":"782:C", "10141":"783:A", "10153":"784:T", "10166":"785:A", "10178":"786:C", "10192":"787:T", "10204":"788:A", "10217":"789:C", "10231":"790:G", "10244":"791:G", "10258":"792:C", "10272":"793:C", "10283":"794:C"}
}
, {
"traceFileName": "dataset_152173",
"leadingGaps": 2441,
"trailingGaps": 4709,
"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, 1, 1, 2, 4, 7, 11, 14, 16, 16, 14, 11, 7, 3, 1, 0, 0, 0, 0, 1, 2, 2, 3, 3, 2, 1, 0, 0, 1, 2, 3, 3, 1, 0, 0, 0, 2, 7, 10, 6, 0, 0, 11, 66, 169, 316, 483, 637, 743, 773, 721, 602, 444, 283, 148, 56, 9, 0, 0, 11, 20, 24, 25, 21, 13, 1, 0, 0, 39, 125, 261, 433, 615, 770, 863, 873, 799, 659, 485, 312, 167, 67, 13, 0, 0, 10, 16, 15, 8, 2, 3, 21, 59, 120, 197, 280, 357, 413, 439, 429, 388, 324, 248, 173, 108, 59, 27, 10, 3, 3, 5, 8, 10, 11, 11, 9, 7, 5, 3, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 3, 9, 15, 16, 12, 5, 3, 12, 35, 64, 87, 89, 67, 34, 21, 60, 170, 338, 521, 662, 711, 651, 507, 328, 168, 57, 0, 0, 0, 13, 95, 241, 443, 659, 824, 882, 810, 633, 406, 197, 52, 0, 0, 0, 24, 38, 39, 30, 13, 0, 0, 0, 66, 206, 406, 632, 826, 932, 917, 785, 578, 353, 164, 42, 0, 0, 1, 22, 36, 39, 30, 11, 0, 0, 14, 110, 276, 494, 714, 879, 939, 874, 706, 484, 267, 103, 10, 0, 0, 13, 32, 39, 32, 14, 0, 0, 2, 74, 209, 398, 606, 781, 875, 858, 737, 546, 338, 162, 47, 0, 0, 3, 20, 31, 35, 36, 31, 19, 0, 0, 0, 66, 202, 401, 630, 834, 956, 960, 844, 642, 410, 204, 63, 0, 0, 5, 33, 53, 60, 58, 51, 43, 35, 27, 20, 12, 5, 0, 0, 0, 0, 7, 15, 15, 5, 0, 0, 33, 129, 285, 482, 676, 816, 858, 787, 616, 392, 175, 26, 0, 64, 243, 474, 697, 852, 897, 822, 647, 417, 195, 36, 0, 50, 218, 445, 672, 839, 900, 840, 676, 451, 223, 52, 0, 20, 166, 378, 602, 779, 862, 829, 690, 479, 253, 69, 0, 5, 155, 394, 669, 909, 1054, 1065, 943, 727, 474, 247, 85, 1, 0, 3, 32, 54, 62, 59, 49, 38, 26, 16, 8, 3, 1, 2, 6, 10, 12, 13, 11, 8, 4, 1, 0, 0, 1, 4, 7, 11, 12, 12, 10, 7, 4, 1, 0, 0, 0, 1, 3, 4, 6, 6, 6, 4, 3, 2, 2, 3, 3, 1, 0, 0, 0, 2, 9, 13, 10, 0, 0, 4, 55, 156, 301, 464, 607, 688, 681, 583, 418, 229, 69, 0, 3, 125, 321, 540, 724, 823, 812, 698, 518, 322, 156, 47, 0, 0, 3, 17, 25, 26, 24, 20, 13, 2, 0, 0, 34, 118, 249, 407, 555, 653, 672, 606, 475, 315, 168, 62, 6, 0, 0, 10, 16, 16, 15, 17, 19, 15, 3, 0, 0, 44, 152, 319, 518, 705, 827, 850, 766, 600, 398, 211, 74, 2, 0, 0, 27, 48, 57, 56, 49, 39, 28, 19, 11, 6, 4, 6, 9, 12, 14, 14, 12, 9, 6, 3, 2, 2, 4, 6, 8, 10, 10, 10, 8, 6, 3, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 4, 1, 0, 0, 0, 4, 13, 17, 10, 0, 0, 8, 78, 210, 392, 586, 745, 823, 796, 673, 490, 297, 137, 35, 0, 0, 9, 27, 37, 38, 33, 27, 22, 18, 14, 10, 7, 5, 5, 6, 8, 9, 9, 9, 7, 5, 3, 2, 3, 4, 6, 8, 9, 8, 5, 3, 0, 0, 0, 2, 4, 4, 2, 0, 0, 0, 2, 10, 15, 12, 0, 0, 0, 57, 174, 344, 539, 712, 817, 822, 725, 556, 361, 187, 65, 3, 0, 0, 15, 24, 25, 24, 24, 22, 14, 0, 0, 2, 66, 195, 384, 600, 790, 903, 904, 793, 603, 386, 194, 61, 0, 0, 3, 26, 40, 42, 37, 28, 21, 14, 9, 5, 3, 2, 4, 7, 11, 13, 14, 13, 10, 6, 3, 1, 0, 1, 2, 3, 4, 5, 4, 3, 2, 1, 0, 0, 0, 0, 1, 2, 4, 5, 5, 4, 2, 1, 0, 0, 0, 2, 4, 7, 8, 9, 11, 12, 14, 14, 12, 7, 0, 0, 0, 3, 12, 17, 12, 0, 0, 4, 74, 211, 405, 621, 805, 906, 895, 774, 579, 363, 177, 52, 0, 0, 6, 27, 39, 40, 35, 28, 22, 18, 15, 12, 9, 8, 8, 10, 13, 14, 15, 14, 11, 9, 7, 7, 7, 9, 11, 12, 13, 12, 10, 7, 4, 2, 2, 3, 6, 9, 9, 6, 0, 0, 0, 0, 9, 16, 14, 2, 0, 0, 47, 162, 338, 547, 742, 870, 893, 804, 629, 418, 222, 80, 4, 0, 0, 22, 38, 43, 39, 32, 25, 21, 19, 16, 11, 5, 0, 0, 0, 6, 15, 17, 10, 0, 0, 13, 91, 232, 422, 623, 786, 863, 832, 702, 510, 309, 142, 36, 0, 0, 10, 30, 40, 41, 34, 26, 18, 11, 6, 3, 2, 2, 5, 9, 12, 14, 15, 15, 14, 11, 7, 2, 0, 0, 0, 5, 11, 11, 4, 0, 0, 20, 88, 198, 337, 473, 571, 603, 559, 452, 314, 180, 76, 16, 0, 0, 5, 14, 20, 22, 22, 17, 6, 0, 0, 27, 109, 243, 416, 591, 725, 778, 731, 593, 399, 199, 45, 0, 19, 157, 357, 567, 730, 803, 769, 642, 461, 275, 125, 32, 0, 0, 8, 22, 29, 29, 27, 23, 15, 3, 0, 0, 35, 117, 241, 389, 525, 612, 626, 562, 438, 290, 155, 58, 7, 0, 0, 6, 11, 13, 16, 19, 20, 11, 0, 0, 11, 93, 247, 460, 690, 878, 972, 943, 799, 583, 353, 163, 41, 0, 0, 11, 33, 45, 45, 37, 28, 20, 13, 9, 7, 7, 9, 13, 16, 18, 18, 14, 9, 4, 1, 0, 0, 0, 2, 5, 6, 7, 7, 5, 3, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 4, 4, 4, 5, 6, 7, 8, 9, 9, 8, 7, 5, 4, 3, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 13, 10, 4, 0, 0, 0, 6, 13, 14, 6, 0, 0, 30, 117, 260, 440, 620, 753, 800, 743, 593, 389, 186, 40, 0, 48, 201, 406, 610, 756, 808, 752, 605, 406, 206, 53, 0, 7, 118, 285, 465, 611, 683, 666, 568, 418, 258, 124, 37, 0, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 0, 6, 17, 23, 25, 27, 28, 24, 11, 0, 0, 21, 117, 284, 504, 733, 911, 988, 940, 782, 558, 327, 140, 26, 0, 0, 32, 70, 96, 104, 98, 81, 59, 37, 18, 6, 1, 2, 7, 12, 16, 18, 16, 13, 9, 6, 4, 4, 5, 7, 10, 12, 14, 13, 12, 10, 9, 9, 10, 12, 14, 16, 16, 14, 12, 10, 8, 7, 8, 9, 11, 13, 15, 16, 15, 14, 12, 10, 8, 7, 6, 6, 7, 8, 9, 9, 9, 8, 6, 4, 3, 2, 2, 4, 5, 6, 7, 8, 7, 5, 3, 0, 0, 0, 1, 4, 7, 7, 5, 0, 0, 0, 0, 11, 19, 18, 5, 0, 0, 45, 169, 364, 600, 821, 969, 998, 900, 705, 468, 248, 89, 4, 0, 0, 24, 41, 44, 38, 30, 24, 21, 19, 15, 9, 2, 0, 0, 7, 15, 18, 12, 0, 0, 10, 77, 201, 372, 557, 711, 790, 768, 647, 455, 243, 67, 0, 2, 142, 367, 623, 844, 971, 973, 853, 649, 416, 211, 69, 0, 0, 3, 27, 43, 48, 44, 36, 28, 21, 15, 9, 6, 5, 7, 10, 12, 13, 12, 9, 6, 3, 1, 1, 3, 5, 7, 8, 8, 7, 6, 4, 2, 0, 0, 0, 0, 1, 3, 5, 6, 6, 6, 6, 6, 8, 10, 10, 8, 3, 0, 0, 0, 6, 16, 17, 8, 0, 0, 25, 123, 289, 503, 719, 881, 943, 885, 726, 511, 296, 127, 25, 0, 0, 14, 33, 41, 39, 33, 25, 20, 15, 11, 8, 6, 6, 8, 10, 10, 9, 7, 5, 5, 7, 10, 11, 10, 5, 0, 0, 0, 6, 14, 14, 5, 0, 0, 30, 124, 275, 461, 640, 764, 795, 725, 574, 385, 208, 77, 6, 0, 0, 16, 29, 33, 29, 22, 17, 13, 9, 6, 4, 2, 2, 3, 4, 4, 4, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 5, 6, 7, 7, 6, 5, 3, 2, 0, 0, 0, 0, 0, 2, 4, 6, 7, 7, 5, 3, 1, 0, 1, 3, 7, 10, 13, 13, 11, 8, 5, 2, 0, 0, 0, 0, 1, 2, 3, 4, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 3, 1, 0, 0, 0, 4, 11, 14, 8, 0, 0, 13, 77, 194, 353, 524, 664, 731, 703, 582, 399, 204, 54, 0, 36, 180, 383, 590, 745, 802, 745, 588, 376, 169, 27, 0, 77, 260, 494, 712, 857, 891, 809, 640, 432, 239, 95, 15, 0, 0, 12, 26, 33, 32, 24, 11, 0, 0, 3, 59, 166, 315, 480, 620, 695, 684, 589, 439, 274, 132, 39, 0, 0, 4, 19, 27, 26, 21, 15, 10, 7, 5, 3, 2, 3, 5, 8, 11, 12, 12, 10, 9, 11, 14, 18, 20, 17, 11, 3, 0, 0, 6, 14, 15, 7, 0, 0, 32, 128, 286, 484, 681, 823, 866, 793, 617, 385, 161, 10, 0, 83, 303, 586, 860, 1054, 1116, 1035, 838, 582, 332, 139, 27, 0, 0, 18, 37, 44, 39, 29, 20, 13, 9, 6, 4, 3, 3, 6, 8, 10, 10, 8, 5, 2, 0, 0, 1, 4, 6, 6, 3, 0, 0, 0, 3, 14, 20, 14, 0, 0, 2, 77, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 229, 448, 697, 915, 1043, 1044, 917, 699, 451, 230, 76, 0, 0, 1, 25, 38, 38, 30, 19, 11, 6, 4, 3, 2, 3, 4, 5, 7, 9, 9, 9, 7, 6, 5, 5, 5, 5, 5, 3, 1, 0, 0, 2, 4, 6, 5, 2, 0, 0, 0, 6, 13, 15, 6, 0, 0, 23, 109, 255, 441, 628, 765, 813, 757, 613, 425, 239, 97, 15, 0, 0, 13, 27, 30, 25, 16, 9, 6, 5, 6, 7, 7, 6, 2, 0, 0, 0, 4, 14, 19, 13, 0, 0, 6, 85, 236, 445, 674, 863, 960, 936, 798, 587, 360, 170, 46, 0, 0, 8, 27, 34, 30, 20, 10, 5, 4, 6, 7, 6, 3, 0, 0, 0, 2, 9, 12, 9, 0, 0, 3, 54, 154, 297, 456, 593, 670, 664, 578, 436, 279, 142, 48, 0, 0, 0, 4, 13, 17, 16, 8, 0, 0, 2, 64, 186, 364, 567, 748, 856, 859, 757, 579, 374, 191, 64, 0, 0, 0, 19, 29, 29, 23, 15, 9, 6, 5, 5, 4, 4, 5, 5, 6, 5, 4, 2, 0, 0, 0, 1, 2, 4, 5, 5, 4, 3, 1, 0, 0, 0, 3, 6, 8, 7, 3, 0, 0, 0, 4, 14, 17, 10, 0, 0, 18, 105, 263, 477, 708, 900, 1001, 979, 836, 608, 352, 130, 0, 0, 85, 285, 529, 758, 913, 954, 875, 701, 482, 271, 111, 19, 0, 0, 19, 37, 43, 40, 34, 28, 26, 25, 24, 20, 14, 6, 1, 0, 5, 11, 14, 10, 0, 0, 13, 78, 202, 376, 571, 741, 840, 833, 715, 515, 288, 102, 14, 58, 227, 483, 756, 974, 1076, 1032, 854, 587, 304, 84, 0, 52, 260, 561, 877, 1123, 1234, 1185, 995, 723, 439, 206, 57, 0, 0, 14, 40, 53, 52, 40, 27, 16, 8, 4, 3, 4, 6, 9, 11, 11, 9, 6, 2, 0, 0, 0, 1, 3, 5, 5, 4, 3, 1, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 2, 1, 0, 0, 0, 0, 3, 6, 9, 11, 12, 11, 9, 6, 4, 2, 0, 0, 0, 0, 1, 3, 5, 7, 7, 6, 3, 1, 0, 0, 2, 5, 5, 3, 0, 0, 0, 0, 10, 17, 15, 2, 0, 0, 53, 179, 370, 599, 813, 956, 986, 894, 707, 477, 261, 100, 12, 0, 0, 17, 32, 35, 30, 22, 16, 12, 9, 7, 6, 5, 5, 6, 8, 9, 9, 7, 5, 4, 3, 3, 2, 0, 0, 0, 0, 3, 9, 12, 7, 0, 0, 8, 63, 165, 305, 456, 582, 648, 634, 544, 405, 254, 124, 38, 0, 0, 2, 15, 22, 22, 17, 12, 9, 7, 5, 3, 2, 1, 1, 2, 4, 6, 7, 7, 7, 6, 6, 6, 7, 8, 9, 9, 8, 7, 5, 2, 0, 0, 0, 0, 3, 7, 10, 9, 4, 0, 0, 0, 4, 15, 19, 11, 0, 0, 19, 120, 302, 552, 824, 1052, 1174, 1156, 1003, 757, 483, 245, 80, 0, 0, 3, 29, 45, 47, 39, 27, 17, 11, 6, 4, 2, 3, 5, 9, 14, 18, 20, 19, 16, 12, 8, 6, 6, 8, 10, 11, 13, 13, 14, 14, 14, 12, 8, 3, 0, 1, 7, 13, 14, 8, 0, 0, 21, 95, 225, 399, 587, 743, 824, 802, 678, 481, 265, 92, 15, 63, 234, 487, 763, 989, 1106, 1084, 926, 673, 390, 148, 6, 0, 116, 328, 571, 781, 902, 907, 800, 617, 407, 217, 82, 9, 0, 0, 20, 35, 39, 36, 29, 22, 17, 13, 9, 8, 7, 9, 12, 15, 18, 19, 17, 15, 13, 12, 12, 14, 17, 19, 21, 20, 17, 13, 8, 3, 0, 0, 0, 2, 6, 11, 15, 17, 17, 14, 10, 5, 2, 1, 3, 7, 12, 15, 17, 15, 12, 8, 4, 1, 0, 0, 0, 2, 5, 8, 9, 10, 8, 6, 3, 1, 0, 0, 0, 0, 2, 5, 8, 10, 11, 11, 10, 10, 10, 10, 10, 7, 2, 0, 0, 1, 8, 12, 10, 0, 0, 0, 44, 139, 283, 455, 617, 729, 760, 700, 569, 400, 235, 107, 28, 0, 0, 2, 12, 19, 23, 24, 20, 9, 0, 0, 26, 113, 264, 467, 685, 867, 963, 943, 807, 588, 345, 145, 43, 68, 215, 444, 695, 901, 1006, 982, 833, 597, 335, 117, 2, 22, 176, 427, 712, 957, 1102, 1112, 990, 774, 521, 288, 116, 19, 0, 0, 25, 46, 54, 50, 39, 27, 16, 9, 5, 5, 9, 14, 19, 22, 22, 19, 15, 12, 10, 11, 13, 15, 14, 11, 7, 5, 7, 11, 14, 10, 0, 0, 0, 47, 144, 290, 463, 627, 741, 773, 715, 583, 412, 243, 109, 27, 0, 0, 11, 27, 36, 37, 32, 25, 20, 18, 17, 17, 16, 13, 7, 2, 0, 4, 10, 15, 12, 0, 0, 0, 56, 177, 363, 587, 804, 959, 1011, 945, 779, 557, 334, 155, 42, 0, 0, 10, 28, 37, 34, 25, 15, 7, 3, 1, 1, 2, 5, 8, 12, 14, 15, 14, 10, 6, 2, 0, 1, 4, 8, 12, 14, 13, 10, 7, 3, 0, 0, 0, 1, 3, 6, 9, 10, 10, 8, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 3, 4, 5, 7, 8, 8, 7, 5, 3, 1, 1, 3, 6, 10, 13, 15, 15, 12, 8, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 6, 8, 10, 11, 10, 6, 0, 0, 0, 0, 8, 15, 13, 2, 0, 0, 48, 163, 345, 570, 792, 959, 1024, 971, 813, 594, 366, 177, 53, 0, 0, 3, 19, 24, 15, 0, 0, 0, 47, 136, 261, 404, 535, 624, 647, 598, 490, 351, 213, 103, 33, 0, 0, 0, 4, 10, 13, 15, 12, 3, 0, 0, 36, 130, 289, 499, 724, 914, 1021, 1012, 884, 665, 411, 186, 51, 43, 168, 398, 675, 932, 1103, 1148, 1059, 864, 613, 366, 170, 47, 0, 0, 9, 24, 23, 10, 0, 6, 50, 139, 266, 416, 558, 661, 699, 662, 559, 416, 265, 136, 48, 2, 0, 0, 9, 19, 22, 16, 5, 0, 0, 30, 111, 246, 425, 619, 787, 885, 885, 781, 600, 390, 212, 120, 144, 284, 504, 747, 946, 1049, 1026, 883, 658, 409, 198, 76, 68, 168, 342, 539, 704, 794, 787, 690, 533, 355, 194, 78, 14, 0, 0, 17, 31, 38, 37, 33, 27, 23, 20, 19, 19, 18, 15, 9, 3, 0, 0, 1, 7, 10, 6, 0, 0, 15, 80, 199, 366, 555, 726, 838, 863, 794, 649, 465, 284, 139, 45, 2, 0, 0, 9, 15, 17, 16, 13, 6, 0, 0, 10, 70, 184, 348, 540, 720, 845, 882, 823, 683, 497, 308, 154, 53, 4, 0, 2, 12, 16, 17, 17, 17, 16, 9, 0, 0, 15, 89, 228, 428, 659, 874, 1022, 1064, 990, 817, 591, 364, 177, 56, 0, 0, 4, 23, 36, 40, 37, 33, 28, 23, 18, 14, 10, 7, 6, 5, 4, 3, 2, 1, 0, 0, 0, 1, 3, 6, 10, 13, 14, 12, 8, 2, 0, 0, 0, 6, 10, 9, 0, 0, 2, 49, 151, 309, 507, 708, 868, 947, 925, 806, 620, 412, 225, 89, 15, 0, 0, 10, 13, 6, 0, 8, 50, 135, 258, 403, 545, 652, 700, 677, 588, 455, 308, 175, 77, 19, 0, 0, 0, 8, 14, 14, 8, 0, 0, 4, 60, 174, 348, 564, 782, 954, 1039, 1015, 888, 689, 466, 262, 111, 24, 0, 0, 17, 34, 43, 42, 34, 26, 18, 12, 7, 4, 0, 0, 0, 1, 5, 7, 6, 0, 0, 2, 37, 112, 227, 371, 519, 638, 700, 690, 610, 481, 333, 196, 92, 29, 0, 0, 0, 3, 7, 9, 10, 8, 2, 0, 0, 29, 110, 249, 440, 653, 846, 975, 1009, 940, 784, 579, 369, 193, 71, 9, 0, 1, 18, 30, 33, 29, 22, 14, 7, 4, 2, 1, 2, 3, 4, 5, 4, 3, 2, 0, 0, 0, 0, 2, 4, 5, 6, 6, 5, 4, 4, 4, 3, 2, 0, 0, 0, 0, 5, 9, 6, 0, 0, 12, 71, 184, 354, 561, 769, 935, 1020, 1000, 878, 682, 457, 257, 132, 109, 195, 367, 582, 788, 937, 993, 948, 814, 626, 422, 241, 107, 28, 0, 0, 17, 35, 45, 45, 38, 27, 17, 8, 3, 2, 3, 5, 8, 10, 10, 8, 6, 3, 1, 0, 0, 0, 2, 4, 6, 7, 8, 8, 7, 7, 6, 5, 2, 0, 0, 0, 0, 5, 8, 5, 0, 0, 11, 68, 178, 341, 542, 745, 911, 1003, 1000, 904, 737, 536, 340, 180, 71, 12, 0, 0, 8, 17, 19, 12, 0, 0, 0, 45, 142, 297, 497, 714, 907, 1034, 1067, 998, 844, 638, 423, 237, 103, 26, 0, 0, 10, 21, 26, 24, 18, 11, 6, 3, 1, 1, 2, 3, 5, 7, 8, 8, 7, 5, 3, 1, 0, 0, 0, 1, 2, 4, 5, 6, 6, 5, 3, 0, 0, 0, 0, 4, 5, 3, 0, 0, 11, 57, 144, 275, 435, 601, 741, 825, 837, 773, 647, 487, 323, 182, 80, 20, 0, 0, 9, 20, 24, 23, 18, 12, 7, 5, 4, 4, 3, 1, 0, 0, 0, 2, 5, 4, 0, 0, 1, 35, 112, 239, 408, 600, 781, 918, 981, 958, 854, 690, 499, 315, 166, 66, 14, 0, 0, 3, 4, 5, 14, 45, 108, 207, 337, 480, 614, 715, 763, 747, 671, 551, 408, 269, 151, 67, 19, 0, 0, 3, 9, 8, 3, 0, 0, 23, 79, 173, 301, 449, 595, 710, 772, 765, 692, 572, 437, 321, 257, 263, 339, 466, 611, 739, 817, 826, 764, 646, 496, 341, 206, 104, 40, 10, 4, 9, 17, 23, 23, 19, 14, 8, 4, 3, 3, 4, 5, 6, 7, 6, 5, 4, 3, 2, 2, 3, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 7, 7, 7, 6, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 7, 10, 12, 14, 15, 14, 14, 13, 13, 12, 12, 11, 9, 7, 5, 3, 1, 0, 0, 0, 0, 0, 1, 3, 5, 7, 10, 12, 14, 15, 17, 18, 19, 19, 19, 18, 17, 16, 15, 13, 11, 9, 7, 5, 3, 1, 0, 0, 0, 1, 3, 5, 6, 7, 6, 4, 2, 0, 0, 0, 0, 1, 3, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 8, 11, 13, 14, 14, 14, 13, 12, 11, 9, 7, 4, 2, 0, 0, 0, 0, 0, 0, 0, 4, 18, 47, 95, 165, 257, 363, 474, 575, 653, 695, 696, 656, 580, 482, 374, 270, 181, 112, 66, 39, 27, 24, 26, 28, 30, 29, 28, 25, 23, 21, 20, 18, 17, 16, 15, 13, 11, 9, 6, 4, 3, 1, 1, 1, 2, 4, 6, 8, 10, 12, 13, 14, 14, 15, 15, 15, 15, 15, 15, 15, 14, 13, 12, 10, 8, 6, 4, 2, 0, 0, 0, 1, 4, 7, 9, 11, 13, 13, 12, 11, 10, 9, 8, 6, 5, 3, 1, 0, 0, 0, 1, 2, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 9, 11, 13, 14, 15, 15, 14, 12, 10, 8, 7, 10, 17, 31, 54, 88, 135, 192, 260, 332, 401, 462, 505, 527, 525, 499, 454, 395, 329, 262, 200, 146, 103, 72, 52, 40, 35, 32, 31, 30, 28, 25, 24, 24, 29, 40, 58, 87, 127, 179, 242, 312, 384, 453, 510, 551, 571, 568, 543, 500, 442, 376, 308, 244, 188, 142, 106, 80, 61, 48, 40, 34, 32, 32, 34, 40, 48, 60, 77, 99, 126, 157, 192, 227, 260, 287, 306, 314, 311, 298, 276, 247, 214, 179, 146, 115, 90, 69, 54, 43, 35, 29, 25, 23, 21, 20, 20, 21, 21, 22, 22, 22, 22, 22, 21, 20, 20, 20, 20, 21, 21, 21, 20, 20, 19, 19, 19, 20, 20, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 20, 20, 20, 20, 20, 20, 20, 19, 18, 18, 17, 17, 17, 17, 17, 18, 18, 18, 18, 19, 20, 24, 29, 37, 47, 61, 78, 100, 126, 156, 190, 227, 265, 302, 336, 367, 392, 411, 424, 432, 433, 430, 422, 413, 404, 396, 391, 390, 392, 397, 405, 415, 425, 436, 447, 457, 465, 472, 477, 482, 485, 487, 488, 485, 479, 467, 450, 429, 404, 376, 346, 315, 283, 250, 219, 189, 162, 137, 116, 98, 82, 70, 60, 52, 46, 41, 37, 34, 32, 30, 28, 27, 26, 26, 26, 26, 25, 25, 25, 25, 26, 26, 27, 27, 28, 30, 32, 37, 43, 50, 60, 71, 83, 96, 111, 127, 143, 161, 179, 196, 212, 227, 239, 249, 257, 262, 265, 265, 261, 254, 244, 231, 217, 203, 189, 175, 161, 146, 131, 116, 102, 89, 78, 69, 61, 54, 48, 43, 39, 35, 31, 28, 26, 23, 21, 19, 17, 17, 17, 18, 20, 21, 22, 22, 22, 23, 26, 31, 37, 43, 47, 50, 51],
"peakC": [2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 4, 5, 6, 7, 7, 8, 10, 13, 19, 26, 31, 34, 32, 27, 22, 20, 20, 21, 16, 5, 0, 0, 38, 140, 310, 536, 781, 995, 1128, 1147, 1049, 857, 618, 381, 189, 63, 2, 0, 6, 28, 46, 54, 54, 47, 38, 28, 18, 11, 7, 6, 9, 14, 19, 23, 25, 24, 21, 18, 14, 11, 8, 8, 8, 9, 10, 11, 11, 10, 8, 6, 4, 3, 2, 3, 4, 5, 7, 9, 10, 11, 11, 11, 11, 10, 10, 10, 11, 12, 12, 12, 11, 10, 8, 6, 5, 3, 3, 2, 1, 1, 1, 2, 3, 2, 1, 0, 0, 2, 14, 38, 76, 125, 180, 235, 282, 317, 336, 341, 334, 319, 301, 284, 268, 255, 244, 232, 217, 201, 184, 170, 163, 166, 176, 189, 199, 206, 213, 231, 269, 333, 415, 497, 552, 561, 514, 422, 304, 183, 78, 2, 0, 0, 88, 255, 473, 694, 857, 911, 837, 658, 429, 215, 63, 0, 0, 1, 31, 48, 48, 31, 6, 0, 0, 25, 122, 275, 463, 643, 767, 798, 726, 573, 381, 202, 70, 1, 0, 0, 24, 41, 45, 40, 30, 21, 15, 12, 12, 14, 18, 23, 27, 29, 27, 23, 17, 10, 4, 0, 0, 1, 5, 9, 14, 17, 18, 17, 15, 12, 9, 8, 9, 10, 12, 14, 14, 14, 11, 8, 5, 2, 0, 0, 0, 0, 1, 2, 3, 5, 6, 7, 7, 7, 6, 6, 5, 5, 6, 6, 7, 8, 7, 6, 5, 3, 1, 1, 1, 2, 3, 4, 5, 6, 7, 9, 11, 13, 14, 12, 6, 0, 0, 0, 1, 11, 16, 12, 0, 0, 2, 64, 191, 375, 584, 768, 875, 875, 767, 583, 373, 188, 60, 0, 0, 2, 22, 33, 34, 28, 21, 15, 11, 8, 5, 3, 1, 1, 3, 5, 6, 7, 6, 4, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 2, 1, 0, 0, 0, 0, 0, 1, 2, 3, 5, 6, 6, 6, 6, 6, 7, 8, 9, 7, 4, 0, 0, 0, 2, 7, 9, 5, 0, 0, 10, 61, 151, 271, 398, 501, 551, 533, 454, 335, 208, 101, 31, 0, 0, 2, 13, 19, 21, 20, 19, 14, 7, 0, 0, 9, 49, 120, 214, 313, 394, 435, 423, 363, 270, 170, 84, 26, 0, 0, 3, 13, 20, 21, 18, 13, 8, 4, 2, 0, 1, 2, 4, 6, 7, 8, 7, 7, 6, 6, 6, 6, 5, 1, 0, 0, 0, 4, 11, 13, 7, 0, 0, 17, 90, 221, 396, 583, 734, 809, 787, 672, 499, 312, 154, 49, 0, 0, 1, 12, 17, 17, 18, 21, 20, 11, 0, 0, 15, 101, 262, 483, 724, 925, 1030, 1008, 865, 643, 400, 193, 56, 0, 0, 7, 30, 43, 45, 40, 32, 26, 21, 16, 10, 6, 3, 3, 4, 7, 9, 10, 10, 9, 8, 6, 5, 4, 4, 4, 4, 5, 6, 6, 5, 4, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 3, 4, 5, 5, 4, 2, 0, 0, 0, 3, 5, 5, 1, 0, 0, 16, 57, 121, 197, 270, 319, 330, 300, 239, 162, 89, 34, 4, 0, 0, 8, 15, 17, 15, 10, 5, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 4, 4, 4, 3, 3, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 9, 12, 16, 19, 19, 16, 9, 2, 0, 0, 4, 11, 12, 5, 0, 0, 24, 101, 228, 390, 553, 673, 718, 674, 554, 392, 229, 100, 22, 0, 0, 9, 22, 28, 27, 23, 19, 15, 12, 9, 6, 3, 2, 2, 3, 5, 6, 6, 4, 3, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 4, 5, 5, 6, 7, 7, 8, 8, 8, 6, 5, 4, 3, 4, 6, 7, 8, 7, 4, 0, 0, 0, 3, 7, 8, 2, 0, 0, 19, 76, 169, 285, 402, 489, 522, 492, 406, 290, 171, 77, 18, 0, 0, 8, 19, 26, 26, 22, 18, 14, 11, 9, 7, 6, 6, 7, 8, 9, 9, 9, 8, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 4, 5, 7, 9, 9, 7, 2, 0, 0, 0, 5, 14, 16, 9, 0, 0, 19, 107, 263, 470, 689, 864, 946, 911, 769, 560, 341, 159, 42, 0, 0, 8, 27, 37, 36, 30, 24, 20, 16, 14, 11, 9, 7, 7, 9, 10, 11, 11, 10, 8, 5, 3, 1, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 1, 0, 0, 1, 2, 3, 4, 5, 5, 6, 6, 7, 8, 9, 11, 11, 11, 10, 9, 7, 4, 2, 1, 1, 1, 2, 3, 3, 4, 3, 3, 2, 2, 2, 2, 2, 3, 4, 5, 5, 5, 4, 3, 3, 4, 5, 7, 6, 4, 0, 0, 0, 0, 7, 13, 12, 2, 0, 0, 38, 134, 283, 463, 635, 753, 783, 717, 573, 392, 219, 89, 14, 0, 0, 13, 27, 33, 31, 26, 21, 18, 16, 15, 14, 12, 9, 4, 0, 0, 0, 6, 14, 16, 8, 0, 0, 19, 103, 248, 441, 641, 799, 871, 836, 703, 512, 313, 150, 45, 0, 0, 0, 11, 19, 23, 27, 26, 15, 0, 0, 4, 89, 256, 499, 776, 1022, 1169, 1174, 1035, 793, 513, 263, 87, 0, 0, 2, 30, 49, 54, 48, 40, 32, 27, 23, 19, 15, 14, 14, 16, 19, 20, 21, 20, 19, 20, 21, 23, 23, 20, 15, 8, 3, 3, 7, 12, 13, 6, 0, 0, 22, 95, 218, 376, 537, 661, 713, 675, 557, 388, 210, 66, 0, 0, 77, 220, 386, 535, 629, 646, 583, 459, 309, 169, 65, 8, 0, 0, 15, 27, 32, 31, 26, 22, 19, 16, 15, 14, 13, 14, 14, 14, 14, 12, 10, 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, 1, 3, 5, 6, 7, 6, 4, 3, 2, 3, 6, 9, 9, 6, 0, 0, 0, 1, 13, 22, 19, 3, 0, 0, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 64, 220, 459, 743, 1008, 1181, 1211, 1090, 853, 566, 301, 109, 7, 0, 0, 24, 42, 45, 39, 30, 23, 18, 15, 11, 6, 3, 2, 3, 6, 9, 11, 12, 12, 11, 10, 9, 9, 8, 7, 7, 6, 6, 5, 5, 5, 5, 4, 4, 3, 2, 1, 0, 0, 0, 1, 1, 2, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 5, 4, 2, 1, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 5, 5, 6, 7, 8, 8, 8, 8, 8, 9, 11, 13, 14, 11, 5, 0, 0, 0, 5, 16, 20, 12, 0, 0, 18, 118, 301, 551, 819, 1040, 1151, 1119, 954, 704, 434, 207, 58, 0, 0, 8, 32, 44, 43, 36, 27, 21, 17, 13, 10, 7, 6, 6, 9, 12, 15, 16, 15, 13, 11, 9, 7, 6, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 2, 1, 0, 0, 0, 1, 6, 9, 6, 0, 0, 3, 41, 115, 221, 339, 442, 503, 503, 442, 338, 219, 113, 38, 0, 0, 0, 11, 19, 20, 18, 15, 14, 15, 17, 17, 15, 10, 4, 0, 0, 1, 6, 9, 8, 0, 0, 0, 33, 105, 214, 343, 465, 547, 566, 517, 414, 284, 160, 66, 12, 0, 0, 9, 18, 21, 18, 13, 9, 6, 5, 4, 3, 2, 1, 1, 1, 2, 3, 4, 4, 4, 4, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 3, 4, 4, 1, 0, 0, 0, 2, 10, 14, 10, 0, 0, 2, 59, 171, 332, 513, 669, 758, 753, 655, 494, 314, 157, 51, 0, 0, 0, 11, 18, 18, 16, 11, 3, 0, 0, 9, 61, 157, 289, 435, 560, 631, 626, 548, 419, 272, 142, 51, 4, 0, 0, 8, 16, 20, 19, 13, 2, 0, 0, 20, 86, 195, 334, 475, 584, 631, 602, 507, 371, 229, 111, 34, 0, 0, 0, 11, 20, 22, 18, 9, 0, 0, 6, 54, 145, 272, 416, 543, 619, 621, 544, 405, 240, 92, 1, 0, 72, 221, 404, 577, 696, 733, 678, 546, 368, 186, 42, 0, 4, 138, 357, 618, 861, 1026, 1070, 981, 786, 539, 302, 122, 19, 0, 0, 20, 40, 46, 40, 30, 20, 13, 9, 7, 7, 7, 9, 12, 13, 13, 10, 8, 6, 6, 8, 11, 11, 8, 2, 0, 0, 0, 10, 20, 19, 4, 0, 0, 55, 199, 426, 703, 969, 1155, 1206, 1108, 890, 613, 347, 144, 26, 0, 0, 10, 28, 34, 31, 19, 3, 0, 0, 25, 112, 257, 445, 638, 789, 856, 820, 689, 500, 299, 129, 19, 0, 1, 73, 174, 281, 371, 424, 428, 382, 298, 199, 107, 40, 4, 0, 0, 9, 16, 17, 14, 9, 4, 2, 1, 2, 3, 3, 4, 4, 3, 2, 1, 0, 0, 0, 0, 1, 2, 3, 4, 5, 4, 3, 1, 0, 0, 3, 8, 13, 16, 15, 10, 3, 0, 0, 3, 10, 12, 6, 0, 0, 23, 102, 237, 409, 584, 717, 772, 735, 616, 444, 260, 100, 0, 0, 37, 209, 467, 769, 1052, 1245, 1296, 1189, 954, 657, 370, 152, 27, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 0, 0, 19, 39, 45, 39, 30, 23, 18, 14, 11, 7, 4, 2, 2, 4, 6, 8, 8, 8, 7, 7, 8, 8, 8, 8, 7, 5, 3, 1, 0, 0, 1, 2, 3, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 1, 2, 3, 3, 2, 1, 0, 0, 0, 2, 4, 5, 3, 0, 0, 0, 0, 8, 15, 14, 3, 0, 0, 44, 153, 324, 534, 739, 885, 932, 865, 697, 471, 241, 61, 0, 0, 141, 368, 633, 872, 1026, 1055, 953, 752, 507, 277, 107, 13, 0, 0, 20, 36, 40, 34, 27, 22, 22, 25, 26, 24, 17, 7, 0, 0, 0, 7, 17, 18, 7, 0, 0, 39, 160, 359, 612, 867, 1059, 1134, 1072, 890, 640, 386, 181, 51, 0, 0, 0, 15, 26, 30, 24, 8, 0, 0, 18, 123, 316, 583, 877, 1129, 1271, 1262, 1105, 843, 547, 284, 100, 5, 0, 0, 23, 39, 41, 34, 20, 4, 0, 0, 20, 87, 199, 345, 498, 623, 686, 671, 582, 442, 288, 153, 57, 6, 0, 0, 11, 22, 26, 23, 13, 0, 0, 0, 41, 125, 248, 393, 530, 623, 649, 600, 485, 331, 171, 41, 0, 0, 126, 356, 654, 962, 1209, 1329, 1291, 1105, 822, 516, 254, 79, 0, 0, 5, 31, 44, 43, 34, 24, 17, 15, 14, 14, 13, 12, 11, 10, 10, 8, 6, 4, 2, 2, 3, 5, 7, 8, 8, 6, 4, 2, 0, 0, 0, 0, 2, 3, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 1, 3, 4, 5, 4, 4, 2, 1, 0, 0, 0, 0, 0, 2, 4, 5, 6, 6, 4, 3, 1, 0, 0, 0, 1, 2, 4, 6, 7, 8, 8, 8, 9, 12, 15, 19, 20, 18, 12, 3, 0, 0, 1, 9, 14, 10, 0, 0, 11, 80, 210, 397, 609, 800, 918, 928, 821, 622, 384, 169, 37, 23, 130, 330, 569, 784, 918, 939, 846, 665, 441, 225, 63, 0, 0, 102, 264, 448, 609, 711, 727, 657, 522, 357, 201, 83, 15, 0, 0, 15, 28, 34, 32, 28, 25, 26, 28, 29, 24, 15, 4, 0, 0, 4, 16, 22, 13, 0, 0, 22, 138, 351, 645, 968, 1245, 1402, 1395, 1226, 943, 619, 329, 122, 12, 0, 0, 24, 45, 54, 50, 38, 20, 0, 0, 7, 71, 195, 374, 582, 775, 904, 936, 862, 701, 495, 294, 136, 37, 0, 0, 4, 18, 27, 30, 27, 17, 2, 0, 0, 42, 151, 325, 543, 762, 929, 998, 950, 799, 585, 363, 178, 55, 0, 0, 0, 18, 30, 32, 25, 10, 0, 0, 13, 83, 209, 381, 572, 738, 836, 839, 744, 576, 375, 187, 49, 0, 0, 79, 215, 376, 529, 640, 683, 650, 548, 405, 255, 128, 44, 5, 0, 8, 21, 29, 34, 38, 40, 36, 20, 0, 0, 17, 134, 355, 666, 1015, 1322, 1507, 1517, 1348, 1048, 696, 375, 142, 16, 0, 0, 27, 49, 54, 48, 39, 32, 28, 26, 24, 20, 17, 14, 14, 14, 16, 17, 18, 18, 19, 19, 20, 21, 21, 20, 18, 15, 12, 8, 6, 5, 5, 6, 7, 8, 9, 9, 8, 7, 5, 3, 2, 1, 1, 2, 3, 5, 6, 7, 6, 5, 3, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 3, 3, 2, 0, 0, 0, 0, 4, 9, 10, 3, 0, 0, 25, 96, 213, 363, 516, 634, 687, 658, 557, 410, 256, 126, 39, 0, 0, 2, 15, 23, 23, 19, 14, 9, 7, 5, 3, 2, 1, 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, 1, 2, 3, 3, 2, 0, 0, 0, 0, 5, 9, 7, 0, 0, 1, 37, 114, 230, 369, 502, 597, 628, 587, 486, 350, 213, 102, 30, 0, 0, 4, 15, 21, 21, 19, 16, 14, 13, 11, 8, 3, 0, 0, 0, 5, 12, 14, 6, 0, 0, 24, 110, 261, 461, 676, 853, 948, 932, 810, 616, 400, 209, 75, 5, 0, 0, 16, 27, 27, 21, 13, 8, 5, 4, 4, 4, 4, 5, 6, 7, 7, 6, 4, 2, 0, 0, 0, 0, 3, 6, 9, 12, 15, 16, 17, 18, 18, 16, 13, 8, 2, 0, 0, 1, 6, 9, 5, 0, 0, 13, 66, 162, 298, 450, 587, 675, 690, 626, 495, 325, 154, 23, 0, 25, 195, 467, 795, 1112, 1343, 1432, 1355, 1136, 831, 516, 254, 82, 1, 0, 4, 25, 35, 35, 29, 23, 17, 8, 0, 0, 17, 83, 204, 372, 558, 723, 824, 835, 752, 598, 412, 236, 102, 22, 0, 0, 13, 28, 34, 32, 25, 18, 12, 10, 9, 9, 10, 12, 12, 12, 11, 10, 8, 8, 8, 10, 12, 14, 17, 19, 20, 21, 22, 22, 22, 21, 20, 20, 19, 18, 18, 18, 17, 18, 20, 23, 27, 29, 27, 20, 9, 0, 0, 0, 8, 16, 15, 2, 0, 1, 72, 230, 478, 790, 1109, 1363, 1488, 1450, 1254, 947, 601, 294, 90, 20, 82, 242, 444, 632, 756, 789, 731, 601, 434, 269, 134, 45, 3, 0, 5, 20, 31, 36, 36, 34, 31, 28, 25, 21, 18, 14, 12, 11, 11, 11, 10, 5, 0, 0, 6, 35, 89, 164, 247, 323, 372, 382, 351, 286, 205, 124, 58, 17, 0, 0, 6, 14, 20, 20, 17, 12, 7, 4, 3, 4, 5, 6, 7, 7, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 6, 7, 7, 6, 5, 3, 2, 2, 3, 6, 9, 12, 11, 7, 1, 0, 0, 0, 10, 17, 14, 0, 0, 1, 73, 229, 469, 764, 1058, 1282, 1379, 1322, 1126, 843, 540, 279, 100, 8, 0, 0, 23, 39, 42, 36, 27, 19, 14, 11, 7, 4, 2, 3, 5, 8, 11, 13, 13, 12, 11, 9, 7, 5, 3, 3, 3, 6, 10, 15, 19, 20, 17, 11, 2, 0, 0, 1, 11, 15, 10, 0, 0, 18, 109, 282, 531, 820, 1092, 1282, 1343, 1259, 1051, 772, 485, 246, 85, 5, 0, 1, 22, 35, 38, 34, 28, 23, 19, 15, 12, 9, 8, 8, 10, 11, 11, 11, 12, 13, 15, 16, 14, 9, 2, 0, 0, 1, 9, 14, 10, 0, 0, 20, 111, 285, 539, 838, 1127, 1342, 1428, 1360, 1149, 841, 504, 215, 39, 17, 156, 429, 776, 1122, 1388, 1516, 1477, 1288, 996, 669, 375, 158, 34, 0, 0, 21, 43, 53, 51, 43, 35, 27, 22, 18, 14, 12, 11, 11, 12, 13, 12, 10, 8, 7, 7, 9, 13, 16, 16, 12, 5, 0, 0, 0, 6, 14, 13, 2, 0, 0, 60, 202, 431, 728, 1041, 1305, 1456, 1455, 1303, 1037, 722, 424, 195, 54, 0, 0, 9, 30, 41, 43, 39, 35, 32, 29, 25, 21, 16, 13, 11, 11, 12, 12, 11, 10, 8, 6, 4, 3, 2, 2, 2, 2, 3, 5, 6, 8, 9, 9, 9, 8, 7, 6, 6, 7, 8, 10, 10, 10, 9, 7, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 5, 6, 7, 7, 6, 4, 2, 0, 0, 0, 1, 3, 7, 9, 10, 7, 2, 0, 0, 0, 5, 11, 11, 2, 0, 0, 48, 163, 351, 595, 856, 1081, 1218, 1234, 1125, 919, 663, 411, 207, 72, 6, 0, 1, 18, 29, 32, 30, 27, 25, 24, 23, 20, 13, 6, 0, 0, 0, 4, 10, 9, 1, 0, 0, 48, 155, 331, 560, 809, 1029, 1172, 1204, 1119, 936, 699, 456, 251, 105, 24, 0, 0, 2, 13, 18, 15, 5, 0, 0, 25, 119, 294, 546, 848, 1146, 1378, 1488, 1450, 1272, 996, 684, 397, 180, 49, 0, 0, 11, 31, 42, 42, 37, 30, 25, 21, 18, 15, 14, 13, 13, 13, 13, 12, 11, 10, 9, 9, 10, 13, 15, 17, 18, 18, 18, 17, 16, 17, 18, 18, 15, 11, 6, 3, 4, 7, 9, 6, 0, 0, 9, 63, 171, 337, 543, 757, 936, 1041, 1048, 955, 784, 573, 363, 189, 72, 11, 0, 0, 13, 23, 26, 24, 20, 16, 13, 11, 9, 8, 7, 7, 8, 8, 7, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 9, 12, 14, 15, 15, 15, 13, 11, 7, 2, 0, 0, 0, 4, 7, 6, 0, 0, 4, 47, 139, 285, 472, 674, 853, 971, 1003, 942, 803, 614, 414, 238, 108, 30, 0, 0, 6, 18, 24, 24, 20, 15, 10, 7, 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, 2, 4, 6, 9, 11, 13, 14, 15, 14, 11, 7, 3, 1, 0, 1, 3, 3, 0, 0, 0, 17, 59, 130, 229, 343, 454, 541, 587, 584, 531, 442, 333, 223, 129, 61, 19, 1, 0, 3, 9, 13, 15, 14, 12, 10, 8, 7, 6, 6, 6, 6, 7, 8, 8, 9, 10, 9, 7, 3, 0, 0, 0, 1, 4, 5, 1, 0, 0, 25, 96, 222, 403, 623, 849, 1041, 1163, 1190, 1117, 960, 751, 527, 324, 166, 63, 11, 0, 3, 17, 30, 36, 37, 34, 28, 21, 15, 10, 7, 6, 6, 7, 8, 8, 8, 7, 6, 5, 5, 4, 4, 4, 4, 3, 3, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 3, 2, 1, 0, 0, 0, 2, 4, 7, 10, 12, 15, 17, 18, 17, 14, 11, 6, 3, 2, 1, 1, 0, 0, 0, 15, 50, 115, 211, 336, 475, 610, 720, 784, 793, 743, 644, 515, 376, 249, 146, 75, 35, 18, 16, 21, 27, 30, 31, 30, 27, 24, 22, 20, 20, 21, 21, 21, 20, 18, 14, 10, 6, 4, 2, 1, 0, 0, 0, 8, 30, 70, 129, 207, 296, 385, 463, 517, 539, 524, 477, 403, 316, 228, 150, 89, 48, 27, 19, 20, 23, 26, 27, 24, 18, 13, 8, 5, 3, 2, 0, 0, 2, 15, 46, 100, 179, 279, 389, 495, 580, 630, 638, 603, 531, 436, 331, 231, 146, 82, 40, 17, 7, 4, 4, 4, 4, 6, 16, 41, 86, 155, 246, 351, 457, 551, 615, 641, 622, 564, 476, 373, 270, 178, 107, 57, 27, 12, 7, 7, 7, 6, 4, 2, 5, 18, 49, 101, 175, 268, 370, 468, 547, 595, 605, 575, 512, 424, 326, 231, 148, 85, 42, 18, 8, 8, 12, 16, 17, 17, 15, 12, 9, 7, 6, 6, 7, 7, 8, 8, 7, 7, 6, 6, 5, 4, 3, 2, 1, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 5, 5, 6, 7, 7, 8, 8, 8, 8, 8, 7, 7, 7, 8, 9, 10, 10, 10, 8, 6, 4, 3, 2, 1, 0, 0, 1, 16, 50, 110, 202, 323, 467, 620, 764, 880, 952, 968, 927, 835, 706, 559, 413, 284, 181, 107, 61, 36, 26, 24, 26, 27, 27, 26, 23, 19, 16, 14, 12, 11, 11, 11, 10, 10, 10, 10, 9, 8, 6, 4, 2, 0, 0, 0, 1, 8, 20, 40, 70, 110, 160, 216, 272, 323, 360, 379, 377, 355, 317, 268, 216, 165, 120, 83, 56, 38, 26, 20, 17, 16, 16, 17, 17, 16, 15, 13, 12, 11, 10, 10, 10, 11, 11, 11, 10, 10, 10, 10, 11, 11, 12, 11, 10, 8, 6, 5, 5, 8, 17, 32, 58, 95, 146, 208, 278, 349, 412, 461, 490, 495, 479, 444, 398, 351, 312, 291, 295, 330, 396, 488, 599, 716, 824, 911, 964, 978, 950, 882, 783, 664, 538, 416, 308, 220, 154, 107, 76, 57, 46, 39, 35, 32, 31, 29, 27, 25, 23, 20, 18, 15, 14, 14, 13, 13, 13, 12, 11, 10, 9, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 6, 6, 7, 7, 7, 6, 6, 5, 5, 4, 4, 5, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 8, 8, 9, 13, 20, 32, 49, 74, 105, 143, 187, 237, 292, 348, 403, 452, 491, 518, 530, 527, 509, 480, 443, 402, 361, 325, 296, 276, 265, 265, 272, 285, 301, 317, 329, 336, 337, 329, 314, 292, 266, 235, 204, 172, 141, 114, 90, 71, 55, 44, 35, 28, 22, 17, 13, 10, 7, 6, 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, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 3, 4, 5, 5, 5, 4, 3, 2, 1, 1, 2, 3, 4, 5, 7, 8, 10, 12, 16, 21, 26, 33, 39, 47, 54, 62, 71, 81, 92, 105, 117, 129, 139, 148, 155, 160, 163, 164, 164, 162, 160, 156, 151, 145, 138, 130, 121, 113, 106, 102, 100, 101, 104, 109, 116, 125, 136, 149, 164, 180, 197, 215, 233, 250, 266, 280, 292, 302, 310, 316, 319, 319, 316, 311, 304, 294, 283, 270, 256, 240, 223, 205, 188, 172, 157, 142, 127, 113, 100, 87, 76, 67, 59, 53, 48, 44, 40, 37, 33, 30, 28, 27, 27, 27, 28, 30, 33, 35, 37, 38, 38, 40, 43, 50, 57, 63, 67, 70, 71],
"peakG": [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, 1, 2, 3, 4, 4, 3, 2, 1, 0, 0, 0, 4, 10, 18, 26, 32, 35, 34, 29, 24, 17, 12, 8, 5, 2, 0, 0, 2, 6, 10, 12, 8, 0, 0, 7, 52, 139, 271, 432, 594, 723, 791, 779, 692, 550, 386, 231, 110, 34, 0, 0, 5, 20, 32, 38, 36, 26, 12, 0, 0, 24, 88, 195, 337, 497, 644, 749, 788, 752, 650, 504, 345, 201, 92, 27, 0, 0, 8, 22, 31, 35, 33, 28, 22, 16, 10, 7, 6, 7, 9, 12, 14, 15, 15, 13, 12, 10, 9, 8, 8, 7, 7, 6, 6, 6, 5, 5, 4, 3, 2, 1, 1, 1, 2, 3, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 4, 6, 7, 8, 8, 8, 8, 8, 8, 9, 10, 11, 11, 11, 10, 9, 7, 7, 8, 10, 14, 17, 20, 21, 19, 16, 12, 7, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 5, 7, 9, 11, 12, 11, 10, 7, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 5, 7, 9, 10, 9, 8, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 3, 4, 6, 7, 7, 6, 3, 0, 0, 0, 1, 10, 16, 12, 0, 0, 0, 59, 183, 369, 586, 785, 913, 931, 835, 653, 434, 233, 87, 9, 0, 0, 12, 25, 31, 31, 28, 20, 8, 0, 0, 28, 107, 237, 403, 570, 697, 747, 706, 585, 418, 248, 110, 25, 0, 0, 10, 28, 38, 41, 39, 36, 32, 27, 21, 14, 8, 4, 3, 5, 8, 13, 17, 19, 19, 17, 13, 8, 4, 1, 0, 2, 4, 8, 11, 12, 12, 10, 7, 4, 1, 0, 0, 0, 0, 2, 3, 5, 6, 6, 5, 4, 3, 2, 3, 4, 6, 8, 10, 11, 12, 13, 13, 12, 11, 7, 3, 0, 0, 0, 3, 10, 13, 8, 0, 0, 10, 74, 193, 359, 539, 691, 771, 757, 652, 486, 304, 149, 46, 0, 0, 2, 16, 24, 28, 29, 29, 25, 15, 0, 0, 9, 69, 182, 338, 506, 647, 720, 704, 603, 447, 277, 132, 37, 0, 0, 5, 22, 31, 32, 27, 22, 17, 13, 9, 6, 3, 2, 2, 5, 8, 11, 13, 14, 13, 11, 9, 6, 4, 2, 1, 2, 4, 6, 9, 10, 11, 9, 7, 4, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 4, 5, 7, 8, 8, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 9, 10, 8, 4, 0, 0, 0, 1, 10, 15, 11, 0, 0, 9, 76, 209, 402, 627, 834, 969, 990, 887, 682, 430, 199, 50, 24, 123, 318, 552, 758, 878, 880, 764, 562, 330, 135, 31, 50, 187, 406, 649, 850, 955, 937, 802, 587, 345, 136, 8, 0, 71, 233, 428, 603, 713, 731, 655, 512, 340, 182, 68, 6, 0, 0, 18, 32, 38, 37, 31, 25, 18, 12, 6, 2, 1, 2, 7, 12, 16, 18, 19, 17, 15, 13, 12, 11, 8, 4, 0, 0, 0, 6, 15, 20, 15, 2, 0, 2, 59, 180, 361, 578, 783, 926, 964, 882, 698, 458, 223, 52, 0, 40, 192, 400, 603, 747, 794, 735, 593, 409, 230, 94, 15, 0, 0, 19, 38, 47, 46, 40, 30, 21, 13, 7, 2, 0, 1, 3, 7, 10, 13, 14, 14, 13, 11, 9, 8, 6, 4, 1, 0, 0, 0, 3, 10, 13, 7, 0, 0, 14, 84, 210, 383, 568, 722, 801, 782, 671, 498, 311, 151, 44, 0, 0, 5, 23, 33, 34, 28, 22, 17, 13, 11, 7, 3, 0, 0, 0, 5, 13, 16, 10, 0, 0, 5, 59, 164, 313, 479, 623, 706, 704, 617, 470, 303, 154, 51, 0, 0, 0, 16, 26, 27, 23, 17, 12, 9, 6, 4, 2, 1, 2, 4, 6, 7, 7, 7, 7, 7, 6, 4, 1, 0, 0, 0, 4, 12, 16, 9, 0, 0, 12, 87, 226, 418, 628, 804, 899, 884, 765, 575, 365, 183, 60, 0, 0, 0, 18, 30, 35, 36, 34, 26, 12, 0, 0, 32, 122, 274, 471, 678, 844, 923, 886, 737, 512, 272, 82, 0, 47, 215, 459, 711, 903, 985, 936, 772, 538, 294, 97, 0, 0, 100, 278, 479, 653, 754, 758, 669, 514, 336, 175, 61, 2, 0, 2, 22, 38, 43, 42, 36, 30, 24, 19, 15, 11, 8, 7, 7, 7, 7, 5, 4, 2, 2, 3, 4, 5, 4, 1, 0, 0, 5, 12, 18, 16, 5, 0, 0, 34, 128, 280, 468, 653, 786, 830, 770, 625, 435, 248, 103, 18, 0, 0, 14, 30, 37, 35, 28, 20, 14, 9, 5, 3, 2, 3, 6, 10, 13, 14, 14, 13, 11, 8, 4, 0, 0, 0, 0, 6, 13, 15, 8, 0, 0, 16, 87, 213, 381, 559, 702, 769, 742, 626, 457, 277, 129, 34, 0, 0, 6, 21, 28, 27, 21, 15, 11, 8, 7, 4, 2, 1, 0, 1, 3, 5, 7, 9, 9, 8, 6, 3, 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, 1, 1, 2, 3, 4, 5, 5, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 8, 11, 14, 14, 11, 6, 0, 0, 0, 1, 9, 13, 10, 0, 0, 1, 53, 159, 314, 493, 654, 753, 762, 676, 522, 341, 176, 60, 0, 0, 0, 17, 28, 29, 24, 17, 12, 9, 7, 5, 3, 1, 0, 0, 1, 2, 3, 3, 3, 3, 3, 3, 4, 4, 2, 0, 0, 0, 0, 4, 10, 12, 6, 0, 0, 17, 87, 211, 379, 560, 710, 787, 769, 660, 491, 305, 145, 38, 0, 0, 8, 29, 35, 23, 0, 0, 5, 75, 207, 388, 586, 754, 846, 836, 727, 548, 348, 173, 54, 0, 0, 2, 21, 33, 35, 32, 27, 22, 18, 14, 10, 5, 1, 0, 0, 1, 4, 6, 7, 7, 7, 5, 3, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 0, 0, 0, 0, 1, 3, 6, 9, 11, 14, 16, 16, 14, 9, 3, 0, 0, 0, 5, 12, 15, 8, 0, 0, 19, 99, 239, 427, 625, 785, 861, 831, 704, 515, 314, 146, 36, 0, 0, 9, 35, 49, 47, 29, 6, 0, 10, 79, 209, 393, 601, 786, 898, 903, 792, 590, 353, 148, 38, 57, 206, 444, 708, 924, 1031, 1000, 838, 593, 331, 125, 33, 78, 246, 488, 734, 913, 974, 898, 707, 456, 216, 56, 23, 127, 338, 599, 835, 983, 1003, 890, 677, 420, 183, 27, 0, 72, 259, 497, 724, 881, 928, 856, 690, 477, 271, 113, 21, 0, 0, 20, 40, 51, 51, 47, 41, 36, 33, 30, 27, 22, 16, 10, 4, 2, 6, 15, 23, 23, 11, 0, 0, 27, 132, 311, 548, 795, 991, 1082, 1040, 877, 640, 390, 182, 49, 0, 0, 10, 34, 47, 48, 41, 33, 26, 20, 14, 9, 5, 4, 4, 7, 10, 13, 14, 14, 12, 9, 6, 3, 1, 0, 0, 0, 0, 1, 2, 3, 4, 5, 4, 2, 0, 0, 0, 0, 8, 13, 12, 1, 0, 0, 43, 146, 304, 494, 673, 793, 818, 741, 584, 391, 211, 78, 6, 0, 0, 16, 30, 33, 28, 21, 15, 11, 9, 6, 4, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 4, 7, 10, 13, 16, 18, 19, 18, 16, 11, 6, 0, 0, 0, 0, 8, 14, 14, 4, 0, 0, 45, 151, 318, 527, 734, 885, 937, 867, 691, 455, 227, 71, 32, 121, 308, 537, 741, 859, 858, 737, 532, 301, 108, 7, 27, 161, 371, 599, 780, 866, 838, 710, 521, 321, 154, 46, 0, 0, 7, 24, 33, 32, 27, 21, 16, 14, 13, 10, 6, 1, 0, 0, 0, 5, 13, 16, 9, 0, 0, 11, 78, 202, 371, 555, 709, 788, 771, 660, 489, 303, 145, 41, 0, 0, 5, 22, 30, 28, 20, 12, 7, 4, 3, 2, 2, 2, 3, 4, 5, 6, 5, 3, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 3, 4, 5, 7, 9, 11, 12, 12, 11, 8, 5, 2, 0, 0, 0, 1, 4, 6, 7, 7, 6, 4, 2, 0, 0, 0, 1, 3, 5, 6, 7, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 5, 7, 9, 10, 11, 10, 8, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 8, 9, 7, 3, 0, 0, 0, 4, 13, 16, 9, 0, 0, 15, 95, 240, 439, 655, 836, 931, 914, 789, 591, 373, 185, 58, 0, 0, 4, 25, 39, 43, 40, 36, 32, 28, 24, 18, 11, 3, 0, 0, 1, 8, 15, 16, 10, 0, 0, 8, 63, 163, 302, 453, 582, 653, 645, 561, 424, 270, 136, 44, 0, 0, 2, 17, 26, 28, 24, 20, 16, 14, 14, 15, 16, 17, 19, 20, 21, 21, 20, 19, 19, 20, 22, 25, 28, 29, 28, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 23, 15, 7, 2, 1, 7, 14, 18, 12, 0, 0, 7, 69, 192, 369, 574, 760, 881, 900, 813, 642, 432, 234, 86, 4, 0, 0, 24, 39, 33, 12, 0, 1, 61, 189, 379, 604, 818, 966, 1005, 916, 719, 466, 226, 70, 43, 151, 362, 610, 823, 938, 928, 801, 598, 377, 187, 59, 0, 0, 7, 29, 43, 46, 41, 33, 25, 18, 13, 10, 8, 9, 11, 14, 17, 18, 18, 16, 13, 10, 9, 9, 10, 11, 12, 12, 12, 12, 12, 13, 15, 19, 23, 26, 27, 25, 19, 12, 6, 3, 6, 12, 15, 12, 2, 0, 0, 39, 127, 264, 430, 589, 700, 732, 676, 547, 380, 218, 92, 17, 0, 0, 12, 26, 33, 32, 29, 26, 24, 22, 20, 17, 14, 11, 8, 7, 5, 5, 4, 4, 5, 6, 7, 8, 9, 9, 9, 9, 9, 10, 12, 13, 14, 14, 12, 9, 6, 3, 1, 0, 0, 0, 0, 0, 1, 2, 4, 6, 7, 6, 5, 4, 2, 1, 1, 1, 2, 2, 3, 4, 4, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 5, 5, 5, 5, 7, 9, 13, 16, 19, 20, 19, 15, 10, 6, 2, 1, 3, 7, 12, 18, 23, 26, 26, 22, 15, 6, 0, 0, 0, 6, 15, 17, 10, 0, 0, 23, 106, 252, 446, 653, 823, 907, 877, 736, 520, 292, 116, 47, 105, 275, 507, 734, 890, 933, 854, 682, 466, 261, 106, 18, 0, 0, 18, 35, 43, 43, 40, 36, 32, 28, 23, 18, 13, 10, 10, 11, 14, 17, 20, 22, 23, 23, 22, 21, 18, 15, 12, 8, 5, 3, 2, 1, 2, 3, 5, 7, 9, 10, 10, 9, 7, 6, 4, 3, 3, 3, 3, 4, 5, 5, 6, 6, 6, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 8, 8, 7, 6, 6, 8, 11, 14, 17, 17, 14, 10, 6, 6, 11, 17, 18, 12, 0, 0, 9, 72, 195, 371, 573, 757, 875, 891, 796, 612, 387, 180, 47, 22, 107, 272, 467, 634, 726, 722, 626, 472, 300, 152, 51, 1, 0, 3, 20, 32, 37, 36, 34, 31, 28, 25, 20, 15, 11, 9, 9, 9, 9, 8, 6, 3, 1, 0, 0, 0, 2, 3, 3, 3, 2, 1, 0, 0, 0, 1, 2, 4, 5, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 1, 3, 5, 7, 8, 8, 8, 7, 7, 6, 5, 5, 5, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 3, 4, 6, 7, 7, 5, 2, 0, 0, 0, 6, 11, 11, 4, 0, 0, 29, 106, 232, 394, 558, 686, 743, 711, 600, 439, 270, 129, 37, 0, 0, 5, 22, 33, 36, 35, 33, 32, 32, 31, 31, 29, 26, 21, 15, 9, 6, 8, 15, 22, 22, 13, 0, 0, 18, 107, 267, 487, 730, 938, 1058, 1055, 930, 715, 467, 243, 83, 0, 0, 2, 29, 42, 34, 16, 6, 27, 99, 229, 406, 597, 761, 853, 843, 728, 539, 330, 165, 100, 159, 329, 561, 787, 940, 976, 889, 707, 481, 268, 109, 18, 0, 0, 21, 41, 52, 54, 51, 45, 39, 32, 23, 15, 9, 6, 8, 13, 19, 23, 25, 24, 21, 16, 11, 8, 6, 6, 8, 9, 10, 11, 11, 10, 9, 8, 9, 10, 12, 14, 16, 16, 16, 14, 13, 12, 13, 16, 19, 20, 19, 17, 15, 18, 24, 31, 31, 20, 1, 0, 10, 94, 261, 504, 788, 1051, 1227, 1266, 1153, 915, 615, 331, 138, 79, 162, 350, 582, 786, 901, 894, 768, 560, 334, 157, 84, 143, 323, 579, 842, 1042, 1124, 1064, 879, 615, 341, 125, 19, 43, 183, 396, 619, 793, 872, 840, 712, 526, 329, 164, 53, 0, 0, 7, 26, 40, 44, 40, 32, 24, 17, 12, 9, 9, 12, 17, 21, 25, 26, 24, 20, 15, 9, 5, 3, 3, 6, 9, 12, 13, 12, 10, 6, 2, 0, 0, 0, 3, 6, 10, 14, 16, 17, 16, 14, 12, 11, 10, 9, 9, 10, 11, 12, 13, 14, 15, 15, 14, 12, 10, 7, 5, 3, 3, 5, 8, 11, 14, 16, 16, 16, 14, 12, 9, 7, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 4, 5, 5, 5, 4, 3, 2, 1, 1, 2, 4, 7, 10, 12, 13, 12, 10, 7, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 6, 7, 8, 9, 11, 13, 15, 16, 16, 13, 7, 1, 0, 0, 4, 12, 15, 10, 0, 0, 12, 80, 208, 390, 595, 779, 895, 911, 822, 653, 447, 252, 105, 20, 0, 0, 12, 26, 30, 27, 20, 14, 10, 7, 5, 3, 2, 2, 3, 5, 6, 6, 6, 4, 2, 1, 0, 0, 0, 0, 1, 2, 4, 5, 7, 9, 9, 9, 8, 7, 5, 3, 2, 1, 1, 1, 2, 3, 4, 5, 6, 7, 6, 6, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 2, 1, 1, 1, 1, 2, 3, 3, 3, 3, 4, 5, 6, 8, 9, 8, 6, 4, 4, 7, 11, 14, 12, 4, 0, 0, 31, 112, 244, 414, 592, 737, 812, 796, 694, 532, 350, 188, 72, 9, 0, 0, 13, 23, 27, 25, 21, 17, 13, 10, 7, 4, 2, 2, 5, 8, 10, 10, 9, 7, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 8, 11, 14, 16, 17, 16, 14, 11, 8, 6, 6, 6, 8, 11, 12, 13, 12, 10, 7, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 5, 5, 4, 2, 0, 0, 0, 3, 7, 12, 15, 17, 16, 13, 9, 4, 1, 0, 0, 0, 1, 2, 3, 4, 5, 6, 6, 5, 4, 4, 3, 3, 4, 4, 5, 6, 6, 5, 4, 3, 1, 0, 0, 0, 0, 2, 5, 7, 9, 10, 9, 7, 4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 3, 1, 0, 0, 0, 1, 3, 6, 9, 12, 14, 14, 11, 6, 1, 0, 0, 3, 8, 10, 5, 0, 0, 17, 78, 187, 334, 496, 638, 725, 734, 663, 530, 369, 216, 97, 25, 0, 0, 5, 16, 21, 21, 18, 14, 11, 8, 5, 3, 1, 1, 1, 3, 6, 9, 11, 13, 14, 14, 14, 13, 12, 11, 9, 7, 5, 3, 2, 3, 5, 7, 10, 10, 8, 5, 2, 1, 4, 8, 11, 7, 0, 0, 7, 55, 151, 292, 462, 628, 752, 804, 768, 655, 492, 318, 167, 62, 7, 0, 0, 11, 20, 21, 19, 14, 11, 9, 7, 6, 6, 7, 9, 11, 13, 13, 11, 8, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 6, 9, 11, 11, 10, 8, 5, 2, 0, 0, 0, 0, 1, 2, 4, 5, 5, 5, 4, 3, 3, 3, 4, 6, 9, 13, 16, 20, 22, 24, 23, 21, 17, 12, 8, 7, 8, 10, 10, 5, 0, 0, 12, 59, 146, 269, 414, 552, 654, 694, 662, 565, 428, 280, 151, 59, 9, 0, 0, 10, 20, 24, 24, 21, 18, 16, 14, 11, 9, 7, 7, 7, 7, 8, 8, 7, 6, 5, 4, 4, 4, 5, 6, 8, 10, 12, 13, 15, 17, 20, 22, 24, 25, 25, 24, 23, 23, 24, 24, 21, 13, 2, 0, 10, 58, 152, 293, 468, 647, 793, 871, 863, 768, 613, 440, 300, 231, 252, 354, 507, 661, 772, 806, 753, 629, 463, 294, 152, 56, 7, 0, 3, 17, 27, 32, 30, 26, 22, 18, 15, 13, 13, 13, 15, 17, 19, 20, 20, 18, 15, 12, 10, 10, 12, 14, 17, 20, 21, 22, 23, 23, 23, 23, 23, 22, 20, 20, 20, 21, 22, 19, 13, 3, 0, 9, 52, 141, 280, 458, 649, 816, 921, 939, 863, 714, 533, 369, 270, 260, 341, 486, 651, 788, 857, 840, 740, 584, 405, 240, 113, 34, 0, 0, 10, 26, 37, 41, 39, 34, 28, 22, 18, 17, 17, 19, 23, 26, 28, 30, 30, 30, 29, 28, 27, 25, 23, 21, 21, 21, 20, 16, 8, 0, 0, 19, 82, 197, 361, 557, 752, 907, 990, 982, 884, 719, 522, 329, 171, 64, 9, 0, 1, 17, 27, 28, 20, 10, 9, 28, 80, 169, 292, 435, 575, 684, 740, 729, 653, 527, 379, 235, 119, 42, 4, 0, 2, 13, 22, 24, 23, 19, 15, 11, 9, 7, 6, 5, 5, 5, 6, 7, 8, 8, 9, 10, 12, 13, 15, 16, 17, 17, 17, 16, 16, 15, 14, 13, 12, 11, 11, 11, 12, 11, 7, 0, 0, 5, 37, 102, 204, 336, 481, 614, 708, 744, 713, 621, 489, 342, 207, 101, 33, 2, 0, 5, 18, 28, 33, 32, 27, 21, 16, 11, 9, 8, 8, 8, 8, 8, 8, 7, 6, 5, 5, 5, 6, 7, 8, 10, 12, 13, 13, 14, 14, 14, 13, 12, 11, 9, 8, 8, 8, 6, 1, 0, 0, 19, 69, 158, 286, 442, 605, 745, 836, 857, 805, 689, 534, 368, 219, 105, 34, 1, 0, 4, 17, 26, 30, 29, 25, 20, 14, 8, 4, 2, 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, 1, 2, 3, 5, 5, 5, 3, 2, 1, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 3, 2, 1, 1, 1, 1, 2, 3, 4, 5, 7, 8, 9, 11, 12, 13, 13, 12, 11, 9, 8, 7, 6, 3, 0, 0, 0, 14, 47, 105, 188, 290, 401, 503, 581, 621, 617, 570, 489, 389, 285, 190, 113, 60, 28, 14, 11, 13, 16, 17, 16, 15, 21, 38, 71, 124, 195, 278, 363, 436, 487, 505, 488, 440, 369, 287, 207, 138, 86, 53, 35, 29, 29, 31, 32, 31, 28, 27, 32, 49, 84, 141, 222, 322, 432, 539, 627, 680, 690, 657, 590, 510, 438, 397, 400, 449, 533, 633, 724, 782, 793, 754, 677, 581, 490, 427, 407, 432, 494, 575, 651, 702, 714, 683, 620, 542, 473, 431, 431, 473, 546, 631, 706, 750, 751, 705, 619, 507, 386, 272, 175, 102, 55, 31, 29, 47, 85, 143, 218, 307, 401, 490, 561, 604, 610, 579, 516, 431, 336, 246, 168, 108, 68, 44, 33, 30, 31, 32, 32, 31, 29, 27, 25, 24, 25, 27, 30, 33, 35, 36, 36, 35, 32, 30, 27, 24, 21, 19, 17, 16, 16, 20, 30, 51, 85, 137, 205, 288, 377, 463, 534, 579, 591, 569, 515, 440, 353, 266, 189, 128, 84, 57, 42, 34, 31, 29, 29, 31, 40, 59, 94, 148, 223, 315, 417, 520, 611, 678, 712, 707, 665, 591, 495, 390, 290, 207, 149, 121, 124, 155, 210, 281, 359, 435, 499, 544, 563, 556, 527, 483, 436, 396, 371, 366, 380, 407, 436, 460, 469, 459, 428, 380, 320, 256, 192, 137, 92, 58, 36, 24, 18, 16, 16, 16, 17, 16, 16, 15, 15, 15, 16, 17, 18, 18, 18, 17, 15, 14, 12, 10, 9, 8, 7, 7, 7, 8, 8, 8, 8, 7, 7, 6, 5, 5, 5, 6, 6, 7, 7, 8, 9, 10, 11, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 12, 11, 10, 10, 11, 11, 12, 12, 13, 13, 13, 12, 11, 10, 9, 9, 10, 15, 23, 36, 56, 83, 118, 161, 209, 261, 311, 355, 388, 407, 411, 399, 374, 338, 295, 248, 200, 155, 115, 81, 55, 37, 25, 18, 14, 11, 10, 9, 8, 8, 8, 9, 10, 11, 11, 11, 10, 9, 9, 9, 9, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 28, 33, 41, 52, 69, 90, 118, 151, 189, 230, 273, 314, 352, 383, 407, 421, 426, 420, 406, 384, 358, 332, 308, 290, 280, 279, 286, 300, 319, 343, 368, 394, 418, 438, 453, 462, 464, 462, 456, 450, 446, 444, 443, 441, 437, 428, 414, 395, 371, 344, 316, 286, 254, 223, 191, 160, 130, 105, 83, 65, 52, 42, 35, 29, 24, 20, 16, 13, 11, 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, 1, 1, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 4, 4, 4, 3, 3, 3, 4, 6, 8, 11, 14, 19, 23, 29, 35, 42, 51, 60, 71, 83, 96, 110, 125, 140, 155, 169, 182, 194, 205, 215, 223, 231, 238, 242, 243, 241, 237, 230, 221, 212, 202, 192, 181, 169, 155, 143, 131, 121, 110, 97, 81, 65, 54, 47, 43, 41],
"peakT": [4, 4, 4, 3, 3, 3, 3, 4, 4, 5, 6, 8, 9, 11, 11, 11, 9, 8, 7, 10, 17, 27, 38, 49, 56, 59, 60, 60, 56, 46, 27, 2, 0, 5, 89, 261, 519, 833, 1145, 1384, 1493, 1442, 1245, 949, 625, 338, 131, 17, 0, 1, 40, 80, 110, 128, 135, 131, 118, 97, 72, 46, 26, 14, 12, 16, 25, 35, 42, 44, 42, 35, 26, 17, 11, 8, 9, 14, 19, 25, 29, 30, 29, 25, 20, 14, 9, 6, 4, 5, 6, 8, 10, 11, 11, 10, 9, 9, 9, 11, 14, 18, 24, 30, 35, 37, 34, 25, 11, 0, 0, 19, 77, 174, 302, 444, 573, 664, 699, 673, 594, 480, 353, 235, 140, 74, 36, 20, 18, 22, 26, 29, 30, 28, 25, 22, 18, 15, 13, 12, 11, 12, 12, 13, 13, 13, 13, 12, 11, 10, 9, 8, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 6, 7, 8, 9, 10, 10, 9, 6, 4, 3, 4, 8, 13, 19, 23, 24, 24, 22, 21, 21, 22, 24, 24, 22, 17, 13, 10, 9, 12, 16, 19, 21, 20, 16, 11, 6, 4, 4, 6, 11, 16, 20, 22, 23, 21, 19, 17, 17, 18, 20, 23, 25, 29, 32, 35, 33, 23, 6, 0, 0, 36, 131, 275, 447, 608, 714, 735, 666, 525, 353, 191, 70, 4, 0, 0, 22, 43, 51, 45, 26, 2, 0, 0, 54, 163, 316, 486, 632, 714, 709, 619, 468, 298, 149, 46, 0, 0, 6, 29, 46, 52, 50, 43, 33, 22, 13, 6, 2, 1, 3, 7, 11, 14, 15, 13, 10, 6, 3, 2, 5, 12, 21, 31, 39, 43, 43, 37, 28, 19, 10, 4, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 4, 4, 5, 7, 10, 15, 19, 23, 25, 25, 23, 19, 15, 11, 9, 8, 9, 11, 13, 13, 12, 10, 7, 4, 2, 2, 4, 7, 10, 13, 14, 13, 10, 7, 3, 0, 0, 0, 2, 6, 11, 15, 18, 19, 17, 14, 9, 5, 2, 1, 3, 5, 8, 11, 12, 11, 9, 6, 3, 0, 0, 0, 0, 3, 6, 9, 11, 12, 10, 8, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 6, 8, 11, 14, 17, 20, 22, 22, 21, 18, 14, 10, 6, 3, 1, 0, 0, 0, 0, 0, 0, 3, 7, 11, 15, 18, 18, 18, 19, 23, 26, 24, 14, 0, 0, 4, 65, 182, 350, 537, 700, 795, 794, 698, 533, 345, 177, 59, 0, 0, 2, 22, 36, 40, 35, 28, 20, 14, 10, 8, 9, 11, 14, 17, 20, 21, 20, 17, 14, 10, 7, 5, 5, 7, 9, 13, 16, 19, 21, 21, 19, 17, 14, 11, 9, 9, 9, 10, 12, 13, 12, 11, 8, 6, 3, 2, 3, 5, 8, 12, 15, 18, 18, 18, 17, 15, 13, 12, 11, 12, 12, 13, 14, 14, 12, 10, 8, 5, 3, 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, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 8, 13, 17, 19, 19, 18, 18, 21, 26, 28, 22, 7, 0, 0, 34, 137, 302, 509, 713, 862, 913, 851, 694, 486, 279, 118, 22, 0, 0, 20, 42, 53, 52, 45, 34, 24, 16, 10, 6, 6, 8, 11, 14, 15, 14, 12, 12, 14, 19, 24, 28, 27, 24, 20, 20, 24, 27, 23, 7, 0, 0, 41, 167, 374, 634, 892, 1081, 1146, 1069, 871, 609, 350, 147, 27, 0, 0, 21, 47, 62, 64, 59, 51, 41, 31, 21, 12, 6, 5, 9, 16, 23, 28, 28, 25, 19, 12, 6, 3, 3, 5, 9, 12, 15, 15, 13, 10, 5, 1, 0, 1, 6, 12, 19, 24, 26, 27, 27, 27, 25, 18, 5, 0, 0, 26, 103, 226, 380, 534, 647, 688, 645, 530, 374, 219, 95, 20, 0, 0, 10, 24, 30, 28, 23, 18, 15, 14, 16, 19, 23, 28, 33, 39, 43, 45, 43, 33, 16, 0, 0, 19, 90, 211, 369, 532, 659, 714, 676, 553, 378, 201, 72, 26, 72, 188, 335, 465, 538, 535, 462, 345, 216, 106, 33, 0, 0, 5, 18, 27, 29, 27, 22, 18, 14, 11, 10, 10, 12, 15, 18, 20, 21, 20, 16, 12, 8, 4, 2, 2, 3, 5, 6, 7, 7, 5, 3, 1, 0, 0, 0, 1, 2, 4, 5, 5, 5, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 5, 8, 11, 14, 16, 16, 14, 12, 11, 11, 13, 16, 18, 19, 18, 18, 18, 20, 20, 15, 3, 0, 0, 31, 113, 243, 402, 554, 661, 691, 635, 508, 348, 193, 76, 10, 0, 0, 14, 27, 31, 28, 21, 16, 15, 18, 22, 26, 28, 28, 26, 26, 27, 28, 24, 12, 0, 0, 18, 99, 243, 438, 647, 821, 908, 882, 744, 533, 306, 127, 41, 63, 176, 335, 485, 579, 591, 522, 399, 257, 131, 44, 1, 0, 2, 17, 26, 29, 27, 23, 19, 15, 11, 8, 6, 5, 7, 9, 12, 14, 14, 13, 11, 8, 5, 3, 3, 4, 7, 10, 14, 16, 17, 16, 14, 12, 9, 8, 9, 10, 13, 14, 14, 12, 8, 5, 1, 0, 0, 0, 3, 6, 9, 11, 11, 9, 7, 4, 1, 0, 0, 0, 1, 3, 5, 7, 10, 12, 13, 13, 13, 12, 11, 9, 8, 7, 7, 6, 6, 6, 5, 4, 3, 2, 1, 1, 2, 3, 5, 8, 11, 14, 17, 19, 19, 18, 16, 13, 11, 9, 8, 8, 7, 6, 5, 5, 8, 15, 23, 29, 32, 29, 24, 21, 21, 24, 25, 16, 0, 0, 2, 76, 226, 444, 694, 917, 1051, 1059, 937, 721, 469, 243, 83, 1, 0, 0, 25, 43, 47, 44, 38, 33, 29, 25, 20, 14, 9, 7, 7, 9, 13, 16, 19, 19, 19, 18, 18, 19, 20, 20, 17, 13, 9, 7, 9, 13, 14, 9, 0, 0, 3, 53, 149, 285, 435, 564, 634, 625, 540, 403, 252, 122, 36, 0, 0, 3, 16, 23, 22, 16, 11, 8, 7, 8, 10, 11, 12, 12, 12, 10, 8, 5, 2, 1, 2, 4, 7, 10, 12, 12, 11, 8, 5, 2, 0, 0, 0, 2, 4, 6, 8, 9, 8, 7, 5, 3, 1, 0, 1, 2, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 3, 6, 9, 12, 15, 18, 20, 21, 21, 20, 18, 16, 15, 15, 15, 16, 16, 16, 14, 12, 11, 11, 13, 17, 19, 18, 14, 10, 6, 7, 11, 13, 11, 1, 0, 0, 37, 123, 255, 411, 557, 652, 669, 603, 473, 314, 168, 61, 3, 0, 0, 16, 28, 31, 27, 20, 14, 10, 7, 5, 3, 1, 0, 0, 1, 1, 2, 2, 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, 0, 0, 0, 1, 3, 5, 7, 10, 13, 17, 20, 23, 24, 25, 23, 20, 17, 13, 11, 10, 10, 11, 12, 12, 10, 8, 7, 7, 9, 11, 12, 11, 8, 5, 6, 9, 13, 13, 5, 0, 0, 19, 90, 211, 365, 521, 639, 683, 642, 527, 372, 215, 92, 18, 0, 0, 11, 26, 32, 30, 25, 18, 13, 10, 8, 8, 10, 13, 16, 19, 21, 21, 19, 16, 13, 10, 8, 7, 8, 9, 11, 13, 15, 17, 22, 27, 34, 39, 40, 36, 28, 19, 14, 14, 17, 18, 11, 0, 0, 9, 84, 224, 419, 634, 818, 921, 913, 796, 604, 388, 198, 66, 1, 0, 5, 27, 43, 48, 47, 42, 34, 20, 3, 0, 0, 49, 152, 304, 481, 643, 747, 763, 685, 537, 357, 190, 69, 4, 0, 0, 21, 37, 42, 38, 31, 23, 16, 11, 8, 6, 6, 6, 7, 8, 9, 8, 7, 7, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 9, 9, 8, 7, 6, 5, 4, 4, 3, 3, 2, 1, 0, 0, 0, 2, 5, 9, 13, 16, 17, 16, 14, 11, 9, 7, 6, 5, 6, 8, 11, 14, 18, 22, 24, 25, 24, 21, 18, 14, 12, 11, 10, 9, 8, 9, 14, 23, 37, 51, 61, 63, 55, 43, 33, 29, 32, 32, 21, 0, 0, 2, 102, 306, 605, 952, 1267, 1467, 1495, 1344, 1056, 709, 387, 149, 17, 0, 0, 33, 64, 79, 73, 51, 17, 0, 0, 44, 191, 433, 740, 1051, 1288, 1385, 1313, 1092, 784, 467, 211, 51, 0, 0, 16, 45, 60, 60, 53, 45, 39, 35, 31, 27, 22, 19, 18, 18, 20, 21, 22, 23, 23, 23, 22, 21, 20, 19, 18, 17, 16, 16, 17, 18, 20, 21, 22, 22, 22, 21, 20, 19, 17, 15, 13, 10, 8, 6, 5, 5, 6, 9, 12, 15, 16, 16, 14, 11, 7, 3, 0, 0, 0, 3, 7, 12, 15, 16, 15, 12, 9, 5, 3, 3, 4, 5, 7, 9, 10, 11, 12, 12, 13, 15, 17, 18, 19, 18, 17, 14, 10, 6, 3, 1, 0, 0, 0, 0, 0, 0, 1, 1, 3, 5, 7, 10, 12, 13, 13, 11, 9, 6, 3, 1, 1, 2, 5, 8, 10, 12, 13, 12, 10, 8, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 7, 9, 11, 11, 9, 6, 3, 0, 0, 0, 4, 9, 15, 20, 22, 22, 18, 13, 7, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 5, 7, 9, 11, 13, 13, 12, 10, 7, 4, 3, 2, 4, 7, 10, 14, 17, 20, 21, 21, 20, 19, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, -99, 17, 15, 13, 12, 10, 8, 7, 8, 11, 16, 20, 23, 21, 16, 11, 8, 9, 13, 14, 9, 0, 0, 7, 66, 179, 338, 515, 668, 754, 749, 653, 495, 316, 160, 52, 0, 0, 1, 18, 28, 29, 25, 19, 14, 11, 9, 7, 5, 4, 3, 4, 4, 3, 2, 1, 1, 2, 4, 7, 10, 12, 12, 11, 8, 4, 1, 0, 0, 0, 2, 4, 6, 8, 10, 11, 13, 14, 16, 17, 18, 18, 17, 16, 14, 13, 13, 13, 14, 15, 16, 16, 15, 14, 14, 13, 13, 12, 11, 10, 8, 6, 3, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 4, 5, 6, 7, 9, 11, 13, 15, 17, 19, 19, 18, 16, 14, 11, 9, 7, 5, 5, 5, 5, 6, 6, 7, 7, 8, 10, 11, 14, 16, 17, 18, 18, 18, 18, 17, 16, 14, 11, 8, 6, 7, 12, 21, 31, 39, 40, 35, 26, 18, 14, 16, 19, 16, 4, 0, 0, 46, 165, 356, 595, 831, 1007, 1071, 1006, 831, 592, 352, 159, 39, 0, 0, 10, 30, 40, 41, 36, 31, 27, 24, 20, 15, 11, 9, 8, 10, 12, 14, 16, 17, 18, 19, 20, 21, 22, 22, 21, 19, 17, 14, 11, 8, 5, 3, 1, 0, 0, 1, 3, 6, 8, 9, 9, 8, 7, 6, 5, 5, 5, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 7, 8, 7, 5, 3, 1, 0, 0, 0, 1, 3, 5, 6, 7, 9, 12, 17, 24, 30, 32, 29, 21, 11, 6, 7, 13, 17, 12, 0, 0, 4, 76, 219, 430, 671, 890, 1027, 1043, 934, 730, 486, 262, 99, 10, 0, 0, 19, 36, 40, 36, 30, 25, 23, 22, 21, 20, 18, 17, 17, 16, 15, 13, 12, 11, 11, 13, 16, 18, 20, 19, 17, 13, 8, 4, 2, 3, 6, 11, 17, 21, 24, 23, 20, 15, 10, 6, 3, 1, 1, 2, 2, 3, 3, 3, 3, 2, 2, 1, 1, 1, 1, 2, 3, 4, 6, 7, 8, 8, 9, 9, 10, 12, 14, 17, 20, 23, 26, 27, 28, 26, 22, 17, 12, 8, 8, 14, 24, 37, 48, 52, 47, 36, 23, 14, 13, 16, 17, 9, 0, 0, 20, 112, 280, 512, 766, 985, 1111, 1108, 977, 754, 498, 266, 99, 10, 0, 0, 21, 38, 43, 40, 35, 30, 27, 25, 23, 21, 20, 19, 19, 18, 17, 15, 11, 8, 5, 4, 4, 6, 7, 8, 9, 9, 9, 9, 9, 10, 12, 14, 15, 15, 13, 11, 9, 7, 5, 5, 6, 8, 11, 13, 14, 14, 14, 12, 9, 6, 3, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 3, 5, 6, 9, 11, 14, 17, 19, 21, 23, 24, 23, 22, 20, 17, 13, 8, 5, 5, 8, 16, 26, 35, 38, 35, 25, 14, 6, 5, 8, 11, 8, 0, 0, 9, 72, 194, 371, 574, 758, 876, 894, 808, 641, 437, 245, 100, 17, 0, 0, 13, 26, 29, 25, 18, 12, 9, 7, 5, 4, 2, 1, 0, 0, 0, 0, 0, 1, 2, 4, 6, 7, 6, 5, 3, 1, 0, 0, 0, 0, 2, 4, 6, 8, 8, 7, 5, 3, 1, 0, 0, 0, 1, 3, 5, 8, 10, 10, 9, 7, 5, 4, 6, 10, 15, 19, 19, 16, 11, 7, 6, 7, 10, 9, 2, 0, 0, 26, 95, 207, 351, 499, 617, 672, 649, 554, 412, 260, 130, 42, 0, 0, 0, 12, 17, 16, 12, 7, 5, 4, 4, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 3, 2, 1, 0, 1, 2, 2, 3, 3, 3, 4, 6, 11, 17, 22, 24, 23, 18, 12, 8, 8, 10, 10, 6, 0, 0, 12, 68, 172, 315, 474, 612, 692, 693, 614, 476, 316, 170, 65, 8, 0, 0, 13, 23, 26, 23, 18, 13, 9, 6, 4, 3, 4, 6, 9, 12, 15, 16, 16, 15, 13, 12, 12, 13, 14, 15, 14, 12, 9, 6, 3, 0, 0, 0, 0, 2, 5, 8, 13, 21, 30, 41, 52, 58, 57, 48, 32, 16, 6, 4, 10, 16, 12, 0, 0, 3, 75, 224, 451, 723, 985, 1173, 1239, 1163, 966, 700, 429, 207, 63, 0, 0, 6, 28, 42, 45, 41, 35, 31, 28, 24, 21, 17, 14, 14, 14, 16, 17, 19, 20, 20, 21, 22, 23, 23, 24, 25, 25, 24, 23, 20, 16, 12, 9, 8, 11, 17, 27, 37, 44, 46, 42, 32, 21, 13, 10, 11, 12, 7, 0, 0, 12, 73, 190, 359, 556, 740, 868, 906, 844, 697, 503, 308, 147, 43, 0, 0, 12, 38, 60, 73, 77, 73, 62, 46, 29, 15, 9, 10, 16, 18, 13, 1, 0, 20, 98, 245, 457, 704, 936, 1095, 1135, 1042, 843, 598, 386, 275, 305, 469, 714, 965, 1142, 1192, 1100, 894, 630, 373, 170, 45, 0, 0, 16, 41, 57, 65, 67, 69, 71, 72, 69, 62, 51, 38, 27, 21, 21, 27, 35, 40, 39, 36, 38, 59, 115, 212, 346, 498, 636, 723, 729, 647, 495, 318, 174, 122, 200, 407, 706, 1029, 1294, 1433, 1412, 1237, 957, 641, 355, 146, 29, 0, 0, 25, 47, 56, 54, 46, 34, 21, 6, 0, 1, 36, 111, 229, 376, 526, 645, 705, 689, 601, 464, 310, 171, 69, 12, 0, 0, 14, 29, 39, 45, 47, 47, 45, 41, 34, 28, 23, 21, 20, 15, 6, 0, 0, 18, 79, 185, 326, 481, 616, 698, 707, 640, 514, 360, 212, 96, 25, 0, 0, 10, 24, 32, 33, 28, 21, 15, 11, 9, 9, 10, 13, 16, 19, 22, 24, 25, 25, 25, 24, 22, 21, 20, 18, 17, 17, 17, 19, 23, 27, 30, 30, 27, 19, 12, 6, 4, 6, 8, 6, 0, 0, 3, 39, 116, 232, 376, 519, 630, 681, 659, 569, 435, 287, 157, 63, 11, 0, 0, 9, 18, 21, 19, 14, 10, 7, 5, 4, 5, 7, 9, 13, 16, 18, 20, 22, 23, 23, 22, 21, 18, 15, 11, 7, 4, 1, 0, 0, 0, 1, 3, 5, 6, 7, 6, 5, 3, 1, 0, 0, 0, 0, 2, 3, 4, 4, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 5, 8, 11, 14, 16, 18, 19, 18, 16, 13, 10, 8, 8, 10, 13, 17, 21, 25, 27, 26, 24, 20, 16, 11, 8, 5, 4, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 4, 8, 14, 21, 29, 38, 46, 53, 54, 50, 40, 25, 11, 2, 0, 4, 8, 8, 0, 0, 1, 46, 145, 300, 495, 693, 853, 935, 918, 806, 627, 424, 238, 99, 19, 0, 0, 13, 24, 24, 20, 27, 62, 140, 263, 420, 585, 723, 802, 798, 714, 572, 416, 293, 243, 285, 407, 573, 735, 842, 863, 791, 643, 458, 276, 131, 40, 0, 0, 4, 10, 10, 8, 20, 61, 140, 256, 395, 531, 637, 688, 673, 594, 470, 328, 194, 92, 27, 0, 0, 4, 14, 20, 21, 19, 16, 13, 10, 8, 8, 8, 9, 12, 15, 17, 20, 22, 24, 25, 25, 24, 22, 19, 16, 12, 8, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 5, 6, 8, 10, 13, 16, 18, 20, 20, 19, 16, 13, 9, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 8, 10, 13, 15, 18, 20, 20, 18, 15, 11, 6, 2, 0, 0, 0, 1, 5, 9, 15, 20, 24, 25, 24, 20, 15, 9, 3, 0, 0, 0, 1, 6, 8, 4, 0, 0, 13, 68, 172, 322, 502, 679, 818, 888, 871, 772, 615, 432, 260, 126, 40, 1, 0, 1, 12, 18, 19, 17, 14, 13, 13, 14, 16, 19, 21, 22, 22, 20, 16, 10, 5, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 3, 8, 17, 26, 34, 39, 40, 37, 31, 23, 15, 8, 1, 0, 0, 0, 4, 8, 7, 0, 0, 0, 42, 136, 290, 494, 719, 925, 1068, 1117, 1061, 913, 706, 482, 281, 131, 39, 0, 0, 5, 17, 23, 24, 21, 18, 16, 16, 18, 20, 22, 23, 23, 22, 19, 15, 10, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 10, 19, 30, 39, 44, 45, 41, 33, 25, 17, 11, 6, 1, 0, 0, 0, 2, 5, 5, 1, 0, 0, 30, 104, 233, 414, 624, 832, 998, 1087, 1083, 987, 819, 613, 408, 233, 106, 32, 0, 0, 3, 12, 16, 14, 7, 0, 0, 7, 39, 102, 196, 315, 445, 563, 648, 682, 659, 583, 470, 342, 219, 119, 51, 13, 0, 0, 5, 11, 14, 14, 12, 10, 7, 4, 2, 1, 1, 2, 4, 6, 7, 8, 8, 7, 6, 6, 9, 13, 19, 25, 29, 31, 32, 31, 30, 29, 29, 28, 26, 23, 19, 15, 11, 7, 3, 0, 0, 8, 40, 103, 200, 324, 460, 588, 684, 730, 718, 650, 539, 407, 275, 161, 78, 27, 4, 0, 6, 14, 19, 20, 18, 14, 11, 9, 9, 11, 16, 23, 32, 41, 48, 52, 53, 50, 43, 35, 28, 21, 17, 14, 11, 8, 4, 1, 0, 0, 0, 0, 0, 0, 1, 17, 58, 136, 257, 418, 606, 798, 963, 1076, 1114, 1071, 956, 788, 597, 412, 256, 143, 74, 44, 39, 47, 57, 66, 76, 96, 133, 194, 281, 386, 493, 586, 648, 671, 658, 623, 589, 576, 601, 665, 755, 848, 921, 955, 944, 899, 843, 801, 794, 831, 904, 989, 1057, 1081, 1043, 941, 789, 609, 429, 273, 153, 75, 32, 15, 11, 15, 25, 44, 81, 142, 231, 347, 480, 614, 732, 815, 854, 847, 805, 745, 690, 657, 655, 681, 721, 754, 761, 730, 659, 555, 435, 314, 208, 124, 68, 35, 20, 18, 21, 26, 31, 34, 34, 33, 31, 28, 25, 23, 22, 22, 21, 21, 20, 18, 15, 12, 9, 6, 5, 4, 4, 5, 7, 8, 9, 10, 11, 11, 12, 13, 13, 14, 14, 14, 13, 11, 9, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 9, 9, 9, 9, 9, 8, 6, 4, 2, 1, 0, 0, 0, 0, 2, 3, 4, 5, 5, 5, 4, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 17, 41, 78, 128, 187, 250, 308, 355, 383, 387, 369, 330, 277, 217, 158, 106, 66, 38, 23, 16, 16, 18, 21, 22, 21, 18, 14, 10, 6, 3, 1, 0, 0, 0, 1, 3, 6, 10, 13, 15, 16, 15, 14, 11, 10, 11, 16, 29, 51, 86, 136, 198, 271, 348, 418, 474, 506, 510, 484, 434, 367, 294, 222, 160, 111, 75, 51, 37, 28, 23, 20, 17, 14, 11, 9, 6, 5, 4, 4, 5, 7, 9, 10, 11, 12, 12, 11, 9, 7, 4, 2, 2, 6, 16, 35, 65, 106, 160, 224, 296, 369, 436, 488, 519, 523, 501, 455, 392, 320, 247, 180, 125, 82, 52, 32, 21, 15, 13, 12, 11, 10, 9, 8, 7, 6, 6, 7, 9, 11, 13, 15, 17, 18, 19, 20, 20, 20, 19, 17, 15, 14, 13, 13, 15, 17, 19, 21, 21, 20, 18, 16, 13, 11, 11, 12, 13, 16, 18, 21, 23, 24, 26, 28, 32, 36, 44, 55, 72, 97, 129, 170, 218, 272, 327, 380, 425, 459, 479, 486, 481, 468, 451, 436, 424, 417, 414, 412, 408, 398, 382, 359, 329, 294, 255, 215, 176, 141, 114, 98, 96, 107, 133, 170, 214, 262, 309, 351, 384, 408, 419, 418, 404, 378, 342, 298, 250, 201, 157, 118, 87, 63, 46, 34, 25, 19, 15, 12, 10, 8, 7, 8, 8, 9, 11, 12, 13, 14, 14, 13, 12, 10, 9, 7, 6, 5, 5, 4, 3, 2, 1, 0, 0, 0, 1, 2, 4, 5, 7, 8, 8, 9, 10, 11, 13, 15, 18, 20, 22, 23, 24, 24, 24, 25, 26, 28, 32, 36, 43, 52, 66, 83, 106, 133, 163, 194, 225, 254, 279, 300, 314, 322, 324, 317, 304, 284, 260, 232, 203, 176, 150, 127, 108, 90, 75, 63, 53, 45, 38, 33, 30, 28, 27, 28, 31, 36, 42, 51, 61, 74, 89, 107, 126, 148, 172, 197, 222, 245, 264, 279, 288, 291, 290, 284, 274, 262, 246, 228, 207, 184, 162, 140, 121, 104, 91, 79, 68, 59, 50, 43, 37, 32, 28, 25, 24, 23, 23, 24, 26, 30, 35, 42, 51, 63, 76, 92, 109, 127, 147, 169, 191, 213, 234, 253, 270, 283, 294, 301, 304, 304, 300, 293, 283, 270, 256, 241, 225, 208, 190, 171, 153, 136, 120, 107, 95, 85, 76, 67, 60, 55, 51, 48, 47, 46, 47, 49, 52, 58, 66, 76, 89, 105, 122, 140, 159, 180, 202, 226, 253, 282, 311, 342, 374, 405, 436, 465, 492, 516, 537, 554, 567, 576, 583, 585, 584, 577, 566, 551, 532, 511, 488, 465, 440, 414, 385, 355, 328, 306, 288, 268, 242, 210, 177, 151, 135, 125, 121],
"basecallPos": [41, 55, 67, 80, 93, 106, 117, 129, 143, 154, 169, 183, 195, 205, 217, 229, 240, 251, 262, 275, 287, 299, 311, 323, 335, 347, 359, 372, 384, 396, 409, 421, 433, 444, 456, 469, 481, 494, 506, 519, 531, 542, 555, 568, 580, 591, 604, 616, 627, 640, 653, 665, 678, 689, 700, 713, 725, 736, 747, 759, 772, 784, 797, 809, 822, 834, 845, 857, 869, 881, 891, 903, 915, 927, 939, 952, 964, 977, 988, 1001, 1012, 1025, 1038, 1050, 1061, 1071, 1083, 1095, 1107, 1119, 1130, 1143, 1154, 1167, 1179, 1190, 1201, 1213, 1225, 1237, 1249, 1262, 1274, 1285, 1296, 1309, 1321, 1333, 1343, 1357, 1369, 1380, 1393, 1404, 1416, 1428, 1439, 1452, 1463, 1475, 1487, 1498, 1511, 1523, 1536, 1548, 1560, 1572, 1584, 1595, 1607, 1621, 1632, 1644, 1656, 1668, 1681, 1695, 1706, 1718, 1731, 1741, 1752, 1763, 1775, 1787, 1800, 1812, 1825, 1836, 1848, 1859, 1872, 1883, 1894, 1907, 1920, 1932, 1945, 1957, 1969, 1980, 1992, 2004, 2014, 2028, 2040, 2053, 2066, 2077, 2088, 2101, 2113, 2123, 2137, 2148, 2161, 2174, 2186, 2200, 2211, 2224, 2236, 2245, 2257, 2268, 2280, 2293, 2306, 2318, 2329, 2340, 2352, 2364, 2376, 2389, 2400, 2411, 2424, 2436, 2449, 2458, 2471, 2484, 2497, 2510, 2523, 2534, 2546, 2556, 2567, 2579, 2592, 2604, 2615, 2628, 2641, 2651, 2664, 2675, 2686, 2697, 2710, 2723, 2733, 2744, 2755, 2768, 2779, 2791, 2803, 2816, 2830, 2842, 2855, 2867, 2881, 2892, 2902, 2913, 2925, 2935, 2945, 2956, 2968, 2980, 2992, 3005, 3016, 3029, 3042, 3053, 3065, 3074, 3089, 3100, 3113, 3125, 3136, 3146, 3160, 3172, 3184, 3197, 3208, 3218, 3231, 3244, 3255, 3267, 3280, 3293, 3304, 3315, 3327, 3339, 3352, 3359, 3371, 3382, 3392, 3402, 3415, 3425, 3435, 3449, 3460, 3474, 3486, 3501, 3513, 3525, 3537, 3549, 3559, 3569, 3583],
"basecalls": {"41":"1:T", "55":"2:C", "67":"3:G", "80":"4:A", "93":"5:G", "106":"6:A", "117":"7:T", "129":"8:A", "143":"9:C", "154":"10:C", "169":"11:C", "183":"12:C|A", "195":"13:A", "205":"14:C", "217":"15:A", "229":"16:T", "240":"17:A", "251":"18:T", "262":"19:A", "275":"20:G", "287":"21:A", "299":"22:G", "311":"23:C", "323":"24:A", "335":"25:A", "347":"26:A", "359":"27:A", "372":"28:A", "384":"29:G", "396":"30:C", "409":"31:G", "421":"32:C", "433":"33:T", "444":"34:A", "456":"35:A", "469":"36:C", "481":"37:A", "494":"38:C", "506":"39:A", "519":"40:G", "531":"41:G", "542":"42:G", "555":"43:G", "568":"44:C", "580":"45:T", "591":"46:A", "604":"47:G", "616":"48:G", "627":"49:T", "640":"50:C", "653":"51:A", "665":"52:G", "678":"53:A", "689":"54:T", "700":"55:G", "713":"56:C", "725":"57:T", "736":"58:T", "747":"59:G", "759":"60:A", "772":"61:G", "784":"62:G", "797":"63:G", "809":"64:C", "822":"65:A", "834":"66:T", "845":"67:G", "857":"68:A", "869":"69:T", "881":"70:T", "891":"71:G", "903":"72:A", "915":"73:C", "927":"74:A", "939":"75:A", "952":"76:C", "964":"77:A", "977":"78:C", "988":"79:A", "1001":"80:G", "1012":"81:T", "1025":"82:C", "1038":"83:C", "1050":"84:G", "1061":"85:T", "1071":"86:G", "1083":"87:A", "1095":"88:A", "1107":"89:A", "1119":"-", "1130":"-", "1143":"90:C", "1154":"91:A", "1167":"92:G", "1179":"93:T", "1190":"94:G", "1201":"95:G", "1213":"96:G", "1225":"97:G", "1237":"98:G", "1249":"99:C", "1262":"100:A", "1274":"101:G", "1285":"102:T", "1296":"103:A", "1309":"104:A", "1321":"105:C", "1333":"106:G", "1343":"107:T", "1357":"108:C", "1369":"109:T", "1380":"110:A", "1393":"111:G", "1404":"112:G", "1416":"113:G", "1428":"114:A", "1439":"115:C", "1452":"116:G", "1463":"117:C", "1475":"118:T", "1487":"119:C", "1498":"120:T", "1511":"121:C", "1523":"122:C", "1536":"123:C", "1548":"124:A", "1560":"125:A", "1572":"126:A", "1584":"127:C", "1595":"128:A", "1607":"129:C", "1621":"130:C", "1632":"131:G", "1644":"132:A", "1656":"133:A", "1668":"134:G", "1681":"135:C", "1695":"136:C", "1706":"-", "1718":"137:A", "1731":"138:G", "1741":"139:T", "1752":"140:G", "1763":"141:G", "1775":"142:A", "1787":"143:C", "1800":"144:C", "1812":"145:A", "1825":"146:G", "1836":"147:C", "1848":"148:A", "1859":"149:C", "1872":"150:A", "1883":"151:C", "1894":"152:T", "1907":"153:C", "1920":"154:C", "1932":"155:A", "1945":"156:A", "1957":"157:G", "1969":"158:G", "1980":"159:A", "1992":"160:A", "2004":"161:A", "2014":"162:T", "2028":"163:C", "2040":"164:C", "2053":"165:C", "2066":"166:G", "2077":"167:G", "2088":"168:C", "2101":"169:A", "2113":"170:C", "2123":"171:T", "2137":"172:C", "2148":"173:A", "2161":"174:C", "2174":"175:C", "2186":"176:G", "2200":"177:C", "2211":"178:A", "2224":"179:G", "2236":"180:T", "2245":"181:G", "2257":"182:G", "2268":"183:A", "2280":"184:A", "2293":"185:A", "2306":"186:C", "2318":"187:T", "2329":"188:G", "2340":"189:G", "2352":"190:G", "2364":"191:G", "2376":"192:C", "2389":"193:T", "2400":"194:A", "2411":"195:C", "2424":"196:A", "2436":"197:A", "2449":"198:A", "2458":"199:T", "2471":"200:C", "2484":"201:C", "2497":"202:A", "2510":"203:C", "2523":"204:T", "2534":"205:A", "2546":"206:G", "2556":"207:T", "2567":"208:T", "2579":"209:C", "2592":"210:C", "2604":"211:T", "2615":"212:T", "2628":"213:C", "2641":"214:T", "2651":"215:G", "2664":"216:A", "2675":"217:T", "2686":"218:A", "2697":"219:C", "2710":"220:A", "2723":"221:A", "2733":"222:T", "2744":"223:A", "2755":"224:C", "2768":"225:A", "2779":"226:A", "2791":"227:A", "2803":"228:C", "2816":"229:C", "2830":"230:A", "2842":"231:G", "2855":"232:A", "2867":"233:C", "2881":"234:A", "2892":"235:T", "2902":"236:G", "2913":"237:T", "2925":"238:T", "2935":"239:A", "2945":"240:T", "2956":"241:A", "2968":"242:C", "2980":"243:A", "2992":"244:G", "3005":"245:C", "3016":"246:A", "3029":"247:C", "3042":"248:A", "3053":"249:G", "3065":"250:G", "3074":"251:T", "3089":"252:C", "3100":"253:A", "3113":"254:A", "3125":"255:G", "3136":"256:G", "3146":"257:T", "3160":"258:C", "3172":"259:A", "3184":"260:G", "3197":"261:A", "3208":"262:G", "3218":"263:T", "3231":"264:C", "3244":"265:T", "3255":"266:A", "3267":"267:G", "3280":"268:C", "3293":"269:A", "3304":"270:T", "3315":"271:A", "3327":"272:G", "3339":"273:A", "3352":"274:A", "3359":"275:T", "3371":"276:C", "3382":"277:T", "3392":"278:T", "3402":"279:T", "3415":"280:C", "3425":"281:T", "3435":"282:T", "3449":"283:C", "3460":"284:G", "3474":"285:C", "3486":"286:G", "3501":"287:C", "3513":"288:G", "3525":"289:G", "3537":"290:G", "3549":"291:G", "3559":"292:T", "3569":"293:G", "3583":"294:C"}
}
]
}