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910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,911,999,1000,1000,1000,1000,997,984,998,1000,1001,1009,1009,916,917,917,917,917,917,917,965,901,901,901,901,901,901,902,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,911,999,1000,1000,1000,1000,1000,1000,1000,1000,1001,1009,1009,932,933,933,950,917,917,917,917,917,917,917,917,917,917,918,894,894,894,893,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,895,1009,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,911,999,1000,1000,1000,1000,1000,981,1016,1016,1017,1009,894,894,894,894,916,917,917,917,917,917,917,917,917,917,917,918,894,894,894,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,911,1009,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,911,1015,1016,1016,1016,1016,1016,1017,1009,1009,1009,1009,1009,1009,1009,1009,916,917,917,917,917,917,917,917,917,917,917,918,894,1009,893,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,911,1009,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,908,929,929,929,929,929,929,929,929,929,929,929,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,911,1009,1009,1009,1009,1009,1009,1009,910,910,910,910,910,895,1009,1009,916,917,917,917,917,917,917,917,917,917,917,918,1009,1009,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,911,1009,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,928,929,929,929,929,929,929,929,924,945,945,945,945,945,945,945,945,945,945,945,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,911,1009,1009,932,933,933,933,933,933,933,933,933,933,933,934,1009,1009,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,911,1009,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,944,945,945,945,945,945,945,945,940,961,961,961,961,961,961,961,961,961,961,961,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,893,910,910,910,910,910,910,910,910,910,910,928,929,929,929,930,910,910,910,910,910,910,910,911,1009,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,960,961,961,961,961,961,961,961,956,983,984,984,984,984,984,984,984,984,984,984,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,909,910,910,910,910,910,910,910,910,910,910,944,951,952,953,946,910,910,910,910,910,910,910,911,1009,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,960,983,984,984,984,984,984,984,984,998,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,1009,1009,1009,1009,1009,1009,1009,1009,996,1009,1009,1009,1009,910,910,910,910,910,910,910,910,910,910,910,960,967,968,969,962,910,910,910,910,910,910,910,911,1009,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,927,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,910,910,910,910,910,910,910,910,908,926,926,926,927,900,901,902,925,926,926,926,930,910,910,910,911,1009,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,944,943,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,1009,1009,1009,1009,1009,1009,1009,1009,1009,910,910,910,910,910,910,910,910,928,924,942,942,942,943,916,917,918,941,942,942,942,946,910,910,910,911,1009,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,929,929,929,929,929,929,929,927,959,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,1009,1009,1009,1009,1009,1009,1009,910,910,910,910,910,910,910,910,910,944,940,958,958,958,959,932,933,934,957,958,958,958,962,570,910,910,911,1009,909,910,910,910,910,910,910,910,910,910,910,910,910,910,944,945,945,945,945,945,945,945,943,983,998,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,895,1009,1009,1009,893,910,910,910,910,910,910,910,910,910,910,960,956,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,925,929,926,926,927,1009,909,910,910,910,910,910,910,910,910,910,910,910,910,910,960,961,961,961,961,961,961,961,959,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,928,929,929,929,929,929,929,929,930,910,910,910,910,910,911,1009,894,894,909,910,910,910,910,910,910,910,910,910,910,960,1009,1009,900,901,901,901,901,901,901,901,902,1009,941,945,942,942,943,1009,909,910,910,910,910,910,910,910,910,910,910,910,910,910,960,983,984,984,984,984,984,984,984,998,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,944,945,976,977,978,945,945,945,946,910,910,910,910,910,911,894,894,894,909,910,910,910,910,910,910,910,910,910,910,960,1009,1009,916,917,917,917,917,917,917,917,918,1009,957,961,958,958,959,1009,909,910,910,910,910,910,910,910,910,910,910,910,910,928,927,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,960,961,992,993,994,961,961,961,962,910,910,910,910,910,911,894,894,894,909,910,910,910,910,910,910,910,910,910,910,910,910,895,916,917,917,917,917,917,917,917,918,1009,1009,1009,1009,1009,1009,1009,909,910,910,910,910,910,910,910,910,910,910,910,910,944,943,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,928,929,927,1009,1009,1009,1009,1009,1009,1009,925,926,926,930,910,910,911,894,894,1009,909,910,910,910,910,910,910,910,910,910,910,910,908,927,916,917,917,917,917,917,917,917,918,1009,1009,894,894,894,894,894,909,910,910,910,910,910,910,910,910,910,910,929,929,927,959,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,944,945,943,1009,1009,1009,1009,1009,1009,1009,941,942,942,946,910,910,911,894,894,894,909,910,910,910,910,910,910,910,910,910,928,926,924,943,932,933,933,933,933,933,933,933,934,1009,893,910,910,910,910,910,910,910,910,910,910,910,910,910,570,570,944,945,945,943,983,998,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,960,961,959,1009,1009,1009,1009,1009,1009,1009,957,958,958,925,929,930,911,894,894,894,909,910,910,910,910,910,910,910,910,910,944,945,940,959,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,909,910,910,910,910,910,910,910,910,910,910,910,910,910,570,570,960,961,961,959,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,911,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,941,942,946,911,894,894,894,909,910,910,910,910,910,910,910,910,910,960,961,956,1009,1009,1009,1009,1009,1009,1009,1009,1009,893,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,570,570,960,983,984,984,998,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,911,1009,1009,996,1009,1009,1009,983,984,985,1009,1009,1009,957,958,925,927,894,894,1013,909,910,910,910,910,910,910,910,910,910,960,1009,1009,1009,1009,910,910,910,895,1009,552,894,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,570,570,960,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,911,1009,1009,1009,1009,1009,983,998,1000,997,985,1009,1009,1009,1009,941,943,996,996,894,909,910,910,910,910,910,910,910,910,910,960,1009,1009,910,910,910,910,910,911,894,552,894,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,570,570,960,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,911,1009,1009,1009,1009,1009,999,1000,981,982,997,985,1009,1009,1009,957,959,894,1009,1013,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,911,894,552,894,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,570,570,960,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,911,1009,1009,1009,1009,1009,1015,1016,1017,1015,982,997,985,1009,1009,1009,1009,1009,1009,1009,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,911,894,552,1009,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,570,570,960,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,981,1016,1016,1016,1016,1016,1016,1016,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,911,1009,1009,1009,1013,1009,996,1009,1009,996,1015,982,997,985,1009,1009,1009,1009,1009,1009,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,911,894,552,894,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,570,928,927,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,981,1016,1016,1016,1016,1016,1017,1009,1009,1009,1009,1009,1009,1009,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,911,1009,1009,1009,1009,900,901,901,901,902,1009,1015,982,997,985,1009,1009,1009,1009,1009,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,911,1009,552,1009,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,570,944,943,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,981,1017,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,895,1009,1009,1009,916,917,917,917,918,1013,1009,1015,982,997,985,1009,1009,983,985,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,911,1009,552,894,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,570,960,959,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,981,1017,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,893,910,910,910,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,911,1009,1009,996,932,933,933,933,934,1009,1013,1009,1015,982,997,984,984,998,1001,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,911,894,552,894,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,928,927,983,998,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,981,1017,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,909,910,910,910,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,911,1009,1009,1009,1009,1009,1009,1009,568,1009,1009,1009,894,1015,982,1000,1000,981,1017,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,911,894,568,894,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,944,943,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,981,1016,1016,1016,1016,1016,1017,1009,1009,1009,1009,1009,1009,893,910,910,910,910,910,910,910,910,910,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,911,894,909,910,910,910,910,910,568,910,910,910,1009,1009,999,1000,1000,1001,1009,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,911,894,552,1009,909,910,910,910,910,910,910,910,910,910,910,910,928,929,929,929,927,959,999,1000,1000,1000,1000,1000,1000,1000,1000,981,1017,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,893,910,910,910,910,910,910,910,910,910,910,910,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,911,1009,909,910,910,910,910,910,568,910,910,910,910,895,999,1000,1000,1001,893,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,911,894,568,894,909,910,910,910,910,910,910,910,910,910,910,910,944,945,945,945,943,983,998,1000,1000,1000,1000,1000,1000,1000,981,1017,893,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,1009,910,910,910,910,910,910,568,910,910,910,910,895,999,1000,1000,1001,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,911,1009,568,1009,909,910,910,910,910,910,910,910,910,910,910,910,960,961,961,961,959,999,1000,1000,1000,1000,1000,1000,1000,981,1017,893,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,568,910,910,910,910,895,999,1000,1000,1001,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,911,1009,568,894,909,910,910,910,910,910,910,910,910,910,910,910,911,983,984,984,984,998,1000,1000,1000,1000,1000,1000,981,1017,893,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,568,910,910,910,910,895,999,1000,1000,1001,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,911,894,568,894,909,910,910,910,910,910,910,910,910,910,910,910,911,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,981,1017,893,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,568,910,910,910,910,895,999,1000,1000,1001,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,911,894,568,894,909,910,910,910,910,910,910,910,910,910,910,910,911,999,1000,1000,1000,1000,1000,1000,1000,1000,981,1017,893,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,568,910,910,910,910,911,999,1000,1000,1001,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,911,894,568,1009,909,910,910,910,910,910,910,910,910,910,910,910,911,999,1000,1000,1000,1000,1000,1000,1000,981,1017,893,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,568,910,910,910,910,911,999,1000,1000,1001,925,930,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,911,894,568,894,925,926,930,910,910,910,910,910,910,910,910,910,911,999,1000,1000,1000,1000,1000,1000,981,1017,893,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,908,929,929,568,929,930,910,910,911,999,1000,1000,1001,941,946,910,910,910,910,910,910,910,910,910,908,926,926,926,926,926,926,926,927,1009,1009,1009,941,942,946,910,910,910,910,910,910,910,910,910,911,999,1000,1000,1000,1000,1000,1000,1001,893,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,944,945,1009,568,1009,946,910,910,911,999,1000,1000,1001,957,962,910,910,910,928,929,929,929,907,908,924,942,942,942,942,942,942,942,943,1009,1009,1009,957,958,909,570,910,910,910,910,910,910,910,910,911,999,1000,1000,1000,1000,1000,1000,1001,962,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,908,928,929,927,961,1009,568,1009,962,910,910,911,999,1000,1000,997,985,909,910,910,910,944,945,945,945,923,924,940,958,958,958,958,958,958,958,959,1009,1009,1009,1009,1009,925,929,929,929,929,929,929,929,929,929,927,999,1000,1000,1000,1000,1000,981,1017,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,928,929,924,945,945,943,1009,1009,1009,1009,909,910,910,911,999,1000,1000,981,1017,909,910,910,910,960,961,961,961,939,940,956,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,941,945,945,945,945,945,945,945,945,945,943,999,1000,1000,1000,1000,981,1017,893,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,944,945,940,961,961,959,1009,1009,1009,1009,909,910,910,911,999,1000,1000,1001,893,910,910,910,910,960,900,901,902,955,956,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,957,961,961,961,961,961,961,961,961,961,959,999,1000,1000,981,1016,1017,893,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,960,961,956,1009,1009,1009,1009,1009,1009,1009,909,910,910,911,999,1000,1000,1001,909,910,910,910,910,960,916,917,918,1009,1009,1009,1009,747,747,747,747,747,747,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,999,1000,1000,1001,893,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,960,1009,1009,1009,1009,1009,1009,1009,1009,1009,909,910,910,911,999,1000,1000,1001,909,910,910,910,910,960,932,933,934,1009,1009,1009,1009,747,747,747,747,747,747,1009,1009,1009,1009,1009,893,910,910,910,910,910,910,910,910,895,1009,1009,999,1000,1000,1001,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,911,1009,1009,1009,1009,1009,1009,893,910,910,910,910,910,911,1015,982,1000,1001,909,910,910,910,910,960,1009,1009,893,910,910,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,893,910,910,910,910,910,910,910,910,910,910,910,895,999,1000,1000,1001,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,1009,570,570,570,570,570,570,570,895,999,1000,1001,909,570,570,570,570,570,570,570,570,570,570,570,570,570,895,1009,1009,1009,893,570,570,570,570,570,570,570,570,910,910,910,910,910,910,910,910,911,999,1000,1000,1001,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,1009,570,570,570,570,570,570,570,911,999,1000,1001,909,570,570,570,570,570,570,570,570,570,570,570,570,570,570,895,1009,1009,909,570,570,570,570,570,570,570,570,910,910,910,910,910,910,910,910,911,999,1000,1000,1001,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,1009,1009,1009,570,570,570,570,570,911,999,1000,1001,909,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,910,910,910,910,910,910,910,910,911,999,1000,1000,1001,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,1009,570,570,570,570,570,911,999,1000,1001,909,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,910,910,910,910,910,910,910,910,911,999,1000,1000,1001,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,1009,570,570,570,570,570,911,999,1000,1001,909,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,910,570,570,570,570,570,570,570,910,910,910,910,910,910,910,910,911,999,1000,1000,1001,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,928,929,929,929,929,929,929,929,929,929,1009,929,929,929,929,929,927,999,1000,1001,925,929,929,929,929,929,929,930,910,910,910,910,910,910,928,929,929,907,910,910,910,910,910,910,908,929,929,929,929,929,929,929,929,929,929,927,999,1000,1000,1001,925,929,929,907,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,944,945,903,904,905,945,945,945,945,1009,568,1009,945,945,945,945,943,999,1000,1001,941,945,945,945,945,945,945,946,910,910,910,910,910,910,944,945,945,923,929,929,929,929,929,929,924,945,945,945,945,945,945,945,945,945,945,943,999,1000,1000,1001,941,945,945,923,929,907,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,960,961,919,920,921,961,961,961,961,1009,568,1009,961,961,961,961,959,999,1000,1001,957,961,961,961,961,961,961,925,929,929,929,929,929,929,927,961,961,939,945,945,945,945,945,945,940,961,961,961,961,961,961,961,961,961,961,959,999,1000,1000,1001,957,961,961,939,945,923,929,907,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,911,1009,935,936,937,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,999,1000,997,984,984,984,984,984,984,985,941,945,945,945,945,945,945,943,983,985,955,961,961,961,961,961,961,956,983,984,984,984,984,984,984,984,984,984,984,998,1000,1000,997,984,984,985,955,961,939,945,946,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,911,1009,983,984,985,1009,1009,983,984,984,984,984,985,1009,1009,1009,983,998,1000,1000,1000,1000,1000,1000,1000,1000,1001,957,961,961,961,961,961,961,959,999,997,984,984,984,984,984,984,984,984,998,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,997,984,985,955,961,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,911,1009,999,1000,997,984,985,999,1000,1000,1000,1000,997,984,984,984,998,1000,1000,1000,1000,1000,1000,1000,1000,1000,997,984,984,984,984,984,984,984,984,998,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,981,1016,982,1000,1000,1000,1000,1000,1000,1000,1000,997,984,985,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,911,1009,999,1000,1000,1000,1001,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,981,1016,1016,1016,1016,1016,1016,1016,982,1000,1001,1009,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1001,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,911,1009,999,1000,1000,981,1017,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,981,1017,1009,1009,1009,1009,1009,1009,1009,999,1000,997,984,998,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1001,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,911,1009,1015,1016,1016,1017,1009,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,981,1016,1016,1016,1016,1016,1016,1016,1016,1016,1016,1016,1016,1016,1016,1017,893,570,570,570,570,570,570,895,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1001,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,911,1009,1009,1009,983,984,984,998,1000,1000,1000,1000,1000,1000,1000,1000,981,1016,982,1000,1000,1000,1000,1000,1000,1000,1000,1001,893,570,928,929,929,929,929,929,929,930,570,570,570,570,570,570,570,570,570,570,570,570,911,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1001,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,911,1009,1009,1009,999,1000,981,1016,1016,1016,1016,1016,1016,1016,1016,1016,570,895,999,1000,1000,1000,1000,1000,1000,1000,1000,1001,909,570,944,945,945,945,945,945,945,946,570,570,928,929,929,929,930,910,570,570,570,570,911,1015,982,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1001,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,911,1009,1009,1009,999,1000,1001,893,1009,1009,1009,1009,1009,1009,928,929,926,927,999,1000,1000,1000,1000,1000,1000,1000,1000,1001,909,570,960,961,961,961,961,961,961,925,907,570,944,945,945,945,946,928,929,907,570,570,570,895,1015,982,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1001,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,911,1009,1009,1009,999,1000,1001,909,1009,1009,1009,1009,1009,1009,944,945,942,943,999,1000,1000,1000,1000,1000,1000,1000,1000,1001,909,570,960,1009,1009,1009,1009,1009,1009,941,946,570,960,961,961,961,962,944,945,923,929,929,930,911,1009,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1001,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,911,983,984,984,998,1000,1001,909,1009,1009,1009,1009,1009,1009,960,961,958,959,999,1000,1000,1000,1000,1000,1000,1000,1000,1001,909,570,960,1009,900,901,901,901,902,957,962,570,911,1009,1009,1009,925,927,961,939,945,945,946,570,895,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1001,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,911,999,1000,1000,1000,1000,1001,909,1009,1009,1009,1009,1009,1009,911,983,984,984,998,1000,1000,1000,1000,1000,1000,1000,1000,1001,909,570,960,1009,916,917,917,917,918,1009,925,926,927,1009,1009,1009,941,943,1009,955,961,961,962,570,911,1015,982,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1001,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,911,999,1000,1000,1000,1000,1001,909,1009,1009,1009,1009,1009,1009,911,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1001,925,570,960,1009,916,917,917,917,918,1009,941,942,943,1009,1009,1009,957,959,1009,1009,1009,1009,909,570,570,895,1015,1016,1016,1016,1016,982,1000,1000,1000,1000,1000,1000,1001,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,911,999,1000,1000,1000,1000,1001,925,929,929,929,929,929,929,927,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1001,941,946,570,895,932,933,933,933,934,1009,957,958,959,1009,1009,1009,1009,1009,1009,1009,1009,1009,909,570,570,911,1009,1009,1009,1009,1009,1015,1016,1016,1016,1016,1016,1016,1001,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,911,999,1000,1000,1000,1000,1001,941,945,945,945,945,945,945,943,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1001,957,962,570,570,895,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,909,910,910,911,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,910,928,929,926,927,999,1000,1000,1000,1000,1001,957,961,961,961,961,961,961,959,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,997,985,925,907,570,570,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,893,570,910,910,911,1009,1009,1008,1009,900,901,901,901,902,1009,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
570,570,570,570,570,570,570,570,570,570,570,570,570,910,570,570,570,910,944,945,942,943,999,1000,1000,1000,1000,997,984,984,984,984,984,984,984,984,998,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1001,941,946,570,570,911,522,522,522,603,570,522,522,603,570,603,522,522,570,1009,1009,909,570,910,910,911,1009,1009,1009,1009,916,917,917,917,918,1009,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
570,570,570,570,570,570,570,570,570,910,928,929,929,907,910,908,929,929,927,961,958,959,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1001,957,962,570,570,911,538,538,538,555,570,538,538,555,570,555,538,538,570,1009,1009,925,929,929,929,927,1009,1009,1009,1009,916,917,917,917,918,1009,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
570,570,570,570,570,570,570,570,570,910,944,945,945,923,929,924,945,945,943,983,984,984,998,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,997,985,925,907,570,911,554,554,554,555,570,554,554,555,570,555,554,554,570,1009,1009,941,945,945,945,943,1009,1009,1009,1009,932,933,933,933,934,1009,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
926,926,926,926,926,926,926,926,926,929,927,961,961,939,945,940,961,961,959,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1001,941,946,570,960,555,555,555,555,570,555,555,555,570,555,555,555,570,1009,1009,957,961,961,961,959,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,925,929,929,929,930,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
942,942,942,942,942,942,942,942,942,945,943,983,985,955,961,956,983,984,984,998,1000,1000,1000,1000,1000,1000,1000,1000,981,1016,1016,1016,982,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1001,957,962,570,570,570,895,555,555,570,555,555,555,570,555,555,555,570,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,941,951,952,953,946,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
958,958,958,958,958,958,958,958,958,961,959,999,997,984,984,984,998,1000,1000,1000,1000,1000,1000,981,1016,1016,1016,1016,1017,1010,1009,1009,1015,1016,982,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,997,985,925,907,570,570,911,555,555,570,555,555,555,570,555,555,555,570,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1008,957,967,968,969,962,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
984,984,984,984,984,984,984,984,984,984,984,998,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1001,1009,1009,1009,1009,1009,1009,1009,1009,1010,1009,1015,982,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1001,941,946,570,570,570,570,570,570,570,570,570,570,570,570,570,570,895,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1010,1009,1009,1009,1009,1009,1009,1009,1009,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,981,1016,1017,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1015,982,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1001,957,962,570,570,570,570,570,570,570,570,570,570,570,570,570,570,911,603,522,522,522,522,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
1016,1016,1016,1016,1016,1016,1016,1016,1016,1016,1016,1016,1016,1016,1016,1016,1016,1016,1016,1016,1016,1017,894,1009,1009,1009,1008,1009,1009,1009,1009,1009,1009,1009,1009,1009,1015,1016,1016,982,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,997,985,962,570,910,910,908,929,929,929,929,929,929,929,929,929,929,927,555,538,538,538,538,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,911,894,894,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1001,925,926,929,929,924,945,945,945,945,945,945,945,945,945,945,943,555,554,554,554,554,909,910,910,910,1009,1009,1009,1009,1009,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,911,894,894,894,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,983,998,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1001,941,942,945,945,940,961,961,961,961,961,961,961,961,961,961,959,555,555,555,555,555,909,910,910,910,910,1009,1009,1009,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,910,910,910,910,570,570,570,570,570,570,570,570,570,570,570,570,895,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1001,957,958,961,961,956,983,984,985,1009,893,570,570,570,570,570,895,555,555,555,557,558,909,910,910,910,910,1009,1009,1009,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,910,910,910,910,570,570,570,570,570,570,570,570,570,570,570,570,911,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,997,984,984,984,984,984,998,1000,1001,1009,925,907,570,570,570,570,911,555,555,555,573,574,909,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,910,910,910,910,910,570,570,570,570,570,570,570,570,570,570,928,927,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1001,1009,941,946,570,570,570,570,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,944,943,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,997,985,957,962,570,570,570,570,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,960,959,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,997,985,909,570,570,570,570,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,960,983,998,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1001,925,907,570,570,570,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,570,960,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1001,941,946,570,570,570,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
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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,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
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,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
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