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903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,561,903,903,903,903,888,992,993,993,994,902,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,904,887,561,887,902,903,903,903,903,903,903,903,903,903,903,903,904,992,993,993,993,993,993,993,993,993,993,974,1010,886,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,561,903,903,903,903,888,992,993,993,994,902,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,904,887,561,887,902,903,903,903,903,903,903,903,903,903,903,903,904,992,993,993,993,993,993,993,993,993,974,1010,886,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,561,903,903,903,903,904,992,993,993,994,902,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,904,887,561,1002,902,903,903,903,903,903,903,903,903,903,903,903,904,992,993,993,993,993,993,993,993,974,1010,886,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,561,903,903,903,903,904,992,993,993,994,918,923,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,904,887,561,887,918,919,923,903,903,903,903,903,903,903,903,903,904,992,993,993,993,993,993,993,974,1010,886,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,901,922,922,561,922,923,903,903,904,992,993,993,994,934,939,903,903,903,903,903,903,903,903,903,901,919,919,919,919,919,919,919,920,1002,1002,1002,934,935,939,903,903,903,903,903,903,903,903,903,904,992,993,993,993,993,993,993,994,886,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,937,938,1002,561,1002,939,903,903,904,992,993,993,994,950,955,903,903,903,921,922,922,922,900,901,917,935,935,935,935,935,935,935,936,1002,1002,1002,950,951,902,563,903,903,903,903,903,903,903,903,904,992,993,993,993,993,993,993,994,955,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,901,921,922,920,954,1002,561,1002,955,903,903,904,992,993,993,990,978,902,903,903,903,937,938,938,938,916,917,933,951,951,951,951,951,951,951,952,1002,1002,1002,1002,1002,918,922,922,922,922,922,922,922,922,922,920,992,993,993,993,993,993,974,1010,902,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,921,922,917,938,938,936,1002,1002,1002,1002,902,903,903,904,992,993,993,974,1010,902,903,903,903,953,954,954,954,932,933,949,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,934,938,938,938,938,938,938,938,938,938,936,992,993,993,993,993,974,1010,886,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,937,938,933,954,954,952,1002,1002,1002,1002,902,903,903,904,992,993,993,994,886,903,903,903,903,953,893,894,895,948,949,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,950,954,954,954,954,954,954,954,954,954,952,992,993,993,974,1009,1010,886,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,953,954,949,1002,1002,1002,1002,1002,1002,1002,902,903,903,904,992,993,993,994,902,903,903,903,903,953,909,910,911,1002,1002,1002,1002,740,740,740,740,740,740,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,992,993,993,994,886,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,953,1002,1002,1002,1002,1002,1002,1002,1002,1002,902,903,903,904,992,993,993,994,902,903,903,903,903,953,925,926,927,1002,1002,1002,1002,740,740,740,740,740,740,1002,1002,1002,1002,1002,886,903,903,903,903,903,903,903,903,888,1002,1002,992,993,993,994,902,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,904,1002,1002,1002,1002,1002,1002,886,903,903,903,903,903,904,1008,975,993,994,902,903,903,903,903,953,1002,1002,886,903,903,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,886,903,903,903,903,903,903,903,903,903,903,903,888,992,993,993,994,902,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,1002,563,563,563,563,563,563,563,888,992,993,994,902,563,563,563,563,563,563,563,563,563,563,563,563,563,888,1002,1002,1002,886,563,563,563,563,563,563,563,563,903,903,903,903,903,903,903,903,904,992,993,993,994,902,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,1002,563,563,563,563,563,563,563,904,992,993,994,902,563,563,563,563,563,563,563,563,563,563,563,563,563,563,888,1002,1002,902,563,563,563,563,563,563,563,563,903,903,903,903,903,903,903,903,904,992,993,993,994,902,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,1002,1002,1002,563,563,563,563,563,904,992,993,994,902,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,903,903,903,903,903,903,903,903,904,992,993,993,994,902,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,1002,563,563,563,563,563,904,992,993,994,902,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,903,903,903,903,903,903,903,903,904,992,993,993,994,902,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,1002,563,563,563,563,563,904,992,993,994,902,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,903,563,563,563,563,563,563,563,903,903,903,903,903,903,903,903,904,992,993,993,994,902,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,921,922,922,922,922,922,922,922,922,922,1002,922,922,922,922,922,920,992,993,994,918,922,922,922,922,922,922,923,903,903,903,903,903,903,921,922,922,900,903,903,903,903,903,903,901,922,922,922,922,922,922,922,922,922,922,920,992,993,993,994,918,922,922,900,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,937,938,896,897,898,938,938,938,938,1002,561,1002,938,938,938,938,936,992,993,994,934,938,938,938,938,938,938,939,903,903,903,903,903,903,937,938,938,916,922,922,922,922,922,922,917,938,938,938,938,938,938,938,938,938,938,936,992,993,993,994,934,938,938,916,922,900,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,953,954,912,913,914,954,954,954,954,1002,561,1002,954,954,954,954,952,992,993,994,950,954,954,954,954,954,954,918,922,922,922,922,922,922,920,954,954,932,938,938,938,938,938,938,933,954,954,954,954,954,954,954,954,954,954,952,992,993,993,994,950,954,954,932,938,916,922,900,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,904,1002,928,929,930,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,992,993,990,977,977,977,977,977,977,978,934,938,938,938,938,938,938,936,976,978,948,954,954,954,954,954,954,949,976,977,977,977,977,977,977,977,977,977,977,991,993,993,990,977,977,978,948,954,932,938,939,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,904,1002,976,977,978,1002,1002,976,977,977,977,977,978,1002,1002,1002,976,991,993,993,993,993,993,993,993,993,994,950,954,954,954,954,954,954,952,992,990,977,977,977,977,977,977,977,977,991,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,990,977,978,948,954,902,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,904,1002,992,993,990,977,978,992,993,993,993,993,990,977,977,977,991,993,993,993,993,993,993,993,993,993,990,977,977,977,977,977,977,977,977,991,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,974,1009,975,993,993,993,993,993,993,993,993,990,977,978,902,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,904,1002,992,993,993,993,994,992,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,974,1009,1009,1009,1009,1009,1009,1009,975,993,994,1002,992,993,993,993,993,993,993,993,993,993,993,994,902,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,904,1002,992,993,993,974,1010,992,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,974,1010,1002,1002,1002,1002,1002,1002,1002,992,993,990,977,991,993,993,993,993,993,993,993,993,993,993,994,902,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,904,1002,1008,1009,1009,1010,1002,992,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,974,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1010,886,563,563,563,563,563,563,888,992,993,993,993,993,993,993,993,993,993,993,993,993,993,993,994,902,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,904,1002,1002,1002,976,977,977,991,993,993,993,993,993,993,993,993,974,1009,975,993,993,993,993,993,993,993,993,994,886,563,921,922,922,922,922,922,922,923,563,563,563,563,563,563,563,563,563,563,563,563,904,992,993,993,993,993,993,993,993,993,993,993,993,993,993,993,994,902,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,904,1002,1002,1002,992,993,974,1009,1009,1009,1009,1009,1009,1009,1009,1009,563,888,992,993,993,993,993,993,993,993,993,994,902,563,937,938,938,938,938,938,938,939,563,563,921,922,922,922,923,903,563,563,563,563,904,1008,975,993,993,993,993,993,993,993,993,993,993,993,993,993,994,902,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,904,1002,1002,1002,992,993,994,886,1002,1002,1002,1002,1002,1002,921,922,919,920,992,993,993,993,993,993,993,993,993,994,902,563,953,954,954,954,954,954,954,918,900,563,937,938,938,938,939,921,922,900,563,563,563,888,1008,975,993,993,993,993,993,993,993,993,993,993,993,993,994,902,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,904,1002,1002,1002,992,993,994,902,1002,1002,1002,1002,1002,1002,937,938,935,936,992,993,993,993,993,993,993,993,993,994,902,563,953,1002,1002,1002,1002,1002,1002,934,939,563,953,954,954,954,955,937,938,916,922,922,923,904,1002,992,993,993,993,993,993,993,993,993,993,993,993,993,994,902,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,904,976,977,977,991,993,994,902,1002,1002,1002,1002,1002,1002,953,954,951,952,992,993,993,993,993,993,993,993,993,994,902,563,953,1002,893,894,894,894,895,950,955,563,904,1002,1002,1002,918,920,954,932,938,938,939,563,888,992,993,993,993,993,993,993,993,993,993,993,993,993,994,902,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,904,992,993,993,993,993,994,902,1002,1002,1002,1002,1002,1002,904,976,977,977,991,993,993,993,993,993,993,993,993,994,902,563,953,1002,909,910,910,910,911,1002,918,919,920,1002,1002,1002,934,936,1002,948,954,954,955,563,904,1008,975,993,993,993,993,993,993,993,993,993,993,993,994,902,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,904,992,993,993,993,993,994,902,1002,1002,1002,1002,1002,1002,904,992,993,993,993,993,993,993,993,993,993,993,993,994,918,563,953,1002,909,910,910,910,911,1002,934,935,936,1002,1002,1002,950,952,1002,1002,1002,1002,902,563,563,888,1008,1009,1009,1009,1009,975,993,993,993,993,993,993,994,902,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,904,992,993,993,993,993,994,918,922,922,922,922,922,922,920,992,993,993,993,993,993,993,993,993,993,993,993,994,934,939,563,888,925,926,926,926,927,1002,950,951,952,1002,1002,1002,1002,1002,1002,1002,1002,1002,902,563,563,904,1002,1002,1002,1002,1002,1008,1009,1009,1009,1009,1009,1009,994,902,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,904,992,993,993,993,993,994,934,938,938,938,938,938,938,936,992,993,993,993,993,993,993,993,993,993,993,993,994,950,955,563,563,888,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,902,903,903,904,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,902,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,903,921,922,919,920,992,993,993,993,993,994,950,954,954,954,954,954,954,952,992,993,993,993,993,993,993,993,993,993,993,993,990,978,918,900,563,563,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,886,563,903,903,904,1002,1002,1001,1002,893,894,894,894,895,1002,902,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
563,563,563,563,563,563,563,563,563,563,563,563,563,903,563,563,563,903,937,938,935,936,992,993,993,993,993,990,977,977,977,977,977,977,977,977,991,993,993,993,993,993,993,993,993,993,993,993,993,994,934,939,563,563,904,515,515,515,596,563,515,515,596,563,596,515,515,563,1002,1002,902,563,903,903,904,1002,1002,1002,1002,909,910,910,910,911,1002,902,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
563,563,563,563,563,563,563,563,563,903,921,922,922,900,903,901,922,922,920,954,951,952,992,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,994,950,955,563,563,904,531,531,531,548,563,531,531,548,563,548,531,531,563,1002,1002,918,922,922,922,920,1002,1002,1002,1002,909,910,910,910,911,1002,902,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
563,563,563,563,563,563,563,563,563,903,937,938,938,916,922,917,938,938,936,976,977,977,991,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,990,978,918,900,563,904,547,547,547,548,563,547,547,548,563,548,547,547,563,1002,1002,934,938,938,938,936,1002,1002,1002,1002,925,926,926,926,927,1002,902,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
919,919,919,919,919,919,919,919,919,922,920,954,954,932,938,933,954,954,952,992,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,994,934,939,563,953,548,548,548,548,563,548,548,548,563,548,548,548,563,1002,1002,950,954,954,954,952,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,918,922,922,922,923,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
935,935,935,935,935,935,935,935,935,938,936,976,978,948,954,949,976,977,977,991,993,993,993,993,993,993,993,993,974,1009,1009,1009,975,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,994,950,955,563,563,563,888,548,548,563,548,548,548,563,548,548,548,563,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,934,944,945,946,939,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
951,951,951,951,951,951,951,951,951,954,952,992,990,977,977,977,991,993,993,993,993,993,993,974,1009,1009,1009,1009,1010,1003,1002,1002,1008,1009,975,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,990,978,918,900,563,563,904,548,548,563,548,548,548,563,548,548,548,563,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1001,950,960,961,962,955,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
977,977,977,977,977,977,977,977,977,977,977,991,993,993,993,993,993,993,993,993,993,993,993,994,1002,1002,1002,1002,1002,1002,1002,1002,1003,1002,1008,975,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,994,934,939,563,563,563,563,563,563,563,563,563,563,563,563,563,563,888,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1003,1002,1002,1002,1002,1002,1002,1002,1002,902,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,974,1009,1010,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1008,975,993,993,993,993,993,993,993,993,993,993,993,993,993,993,994,950,955,563,563,563,563,563,563,563,563,563,563,563,563,563,563,904,596,515,515,515,515,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,902,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1010,887,1002,1002,1002,1001,1002,1002,1002,1002,1002,1002,1002,1002,1002,1008,1009,1009,975,993,993,993,993,993,993,993,993,993,993,993,990,978,955,563,903,903,901,922,922,922,922,922,922,922,922,922,922,920,548,531,531,531,531,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,902,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,904,887,887,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,992,993,993,993,993,993,993,993,993,993,993,993,993,994,918,919,922,922,917,938,938,938,938,938,938,938,938,938,938,936,548,547,547,547,547,902,903,903,903,1002,1002,1002,1002,1002,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,904,887,887,887,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,1002,976,991,993,993,993,993,993,993,993,993,993,993,993,993,994,934,935,938,938,933,954,954,954,954,954,954,954,954,954,954,952,548,548,548,548,548,902,903,903,903,903,1002,1002,1002,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,903,903,903,903,563,563,563,563,563,563,563,563,563,563,563,563,888,992,993,993,993,993,993,993,993,993,993,993,993,993,993,994,950,951,954,954,949,976,977,978,1002,886,563,563,563,563,563,888,548,548,548,550,551,902,903,903,903,903,1002,1002,1002,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,903,903,903,903,563,563,563,563,563,563,563,563,563,563,563,563,904,992,993,993,993,993,993,993,993,993,993,993,993,993,993,990,977,977,977,977,977,991,993,994,1002,918,900,563,563,563,563,904,548,548,548,566,567,902,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,903,903,903,903,903,563,563,563,563,563,563,563,563,563,563,921,920,992,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,994,1002,934,939,563,563,563,563,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,937,936,992,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,990,978,950,955,563,563,563,563,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,953,952,992,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,990,978,902,563,563,563,563,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,953,976,991,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,994,918,900,563,563,563,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,953,992,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,994,934,939,563,563,563,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,953,992,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,994,950,955,563,563,563,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,953,992,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,990,978,918,900,563,563,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,953,992,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,994,934,939,563,563,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,921,920,992,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,994,950,955,563,563,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,937,936,992,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,990,978,918,900,563,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,563,953,952,992,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,993,994,934,939,563,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,903,
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2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,0,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,0,0,0,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,0,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,0,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,0,0,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,0,0,0,2,0,0,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
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2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
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2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
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