2021-12-03 09:04:13 +01:00
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import Data.Bits
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input = [
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"100100110110",
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"101110110110",
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"010100010100",
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"011001110000",
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"000000000111",
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"000010110001",
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"001111000001",
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"100010000001",
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"010100110011",
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"010000010110",
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"010000000011",
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"010101001000",
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"011011101100",
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"011100110111",
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"011011000000",
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"001010010010",
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"011011111010",
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"011110110110",
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"000000100010",
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"111111010101",
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"011100010011",
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"001110110100",
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"110110010100",
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"100000001011",
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"100100010011",
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"011011010001",
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"111000101110",
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"101100001111",
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"110101010101",
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"011010001001",
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"101111011000",
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"011111111011",
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"110000100101",
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"011101101101",
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"011010011001",
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"111100100001",
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"100000010000",
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"111010001010",
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"111110010001",
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"110110001101",
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"000001000001",
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"000101011000",
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"111101100100",
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"110011001001",
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"100010100011",
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"011011100010",
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"011000101101",
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"110101101011",
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"111110101000",
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"010111110100",
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"010010101011",
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"100001001000",
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"101011101011",
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"110111000001",
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"011100011110",
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"011001101101",
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"010100001111",
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"001111011000",
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"100111111010",
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"110110000100",
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"000010101100",
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"111010111011",
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"110110110110",
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"110111011000",
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"100001011001",
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"110010011111",
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"100000000101",
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"110000101100",
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"110100010110",
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"101001101100",
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"111000100011",
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"011001001101",
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"000111100111",
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"001000111110",
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"110100100010",
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"000110011100",
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"010011101111",
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"010101000111",
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"101100100001",
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"100110000010",
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"001110100101",
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"010100100100",
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"001110010110",
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"000010111010",
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"101011101001",
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"101111101010",
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"101011100110",
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"011001111010",
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"100110101010",
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"101111101110",
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"100000100011",
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"000101001011",
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"000110110000",
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"110111101111",
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"111110010110",
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"100010010111",
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"011100000101",
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"101010011010",
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"010111110010",
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"000011111101",
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"000001101000",
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"000111001001",
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"101000001011",
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"011001101000",
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"010110101110",
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"000111101000",
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"101100100011",
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"011010010011",
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"110101111110",
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"101011110001",
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"111000011101",
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"111110011100",
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"100110110001",
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"110111110011",
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"000000011010",
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"000100001110",
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"011100001111",
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"010110010111",
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"011000100110",
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"011000111000",
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"010001000111",
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"100010101110",
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"011001111011",
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"010111100001",
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"011101101110",
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"101100010110",
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"100010101011",
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"110101000010",
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"111010001101",
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"111001100111",
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"101001110111",
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"011000110010",
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"011001111100",
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"010001000110",
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"011011100101",
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"101111010001",
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"100110001011",
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"001011000010",
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"010100011111",
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"101111100110",
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"011100000010",
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"011001000010",
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"010011011111",
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"001101000010",
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"110110010110",
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"001000101001",
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"101100011000",
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"000111000110",
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"000001001101",
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"000100100111",
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"110111011100",
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"010100101001",
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"010101110000",
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"110000001110",
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"010011010000",
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"011101110000",
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"001111100000",
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"010011000011",
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"010011010011",
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"101110010000",
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"101100000110",
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"110011101101",
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"010011111101",
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"101011010110",
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"001011011100",
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"111111011001",
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"011011111000",
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"011101110011",
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"010011001101",
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"100011001000",
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"011010111011",
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"111101000110",
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"100110001101",
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"101001101011",
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"100000111100",
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"111101001011",
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"010111010111",
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"101110000000",
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"010010111111",
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"100010110010",
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"101111110100",
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"111101110111",
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"111111110010",
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"110110001100",
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"101010101111",
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"000110101000",
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"100110110100",
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"100101011010",
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"001001011000",
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"111010001011",
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"000000110100",
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"111000010010",
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"101010011101",
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"010110000010",
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"011111110111",
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"101011111101",
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"011010100111",
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"100011011101",
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"110110011110",
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"101111100111",
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"001100001111",
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"011111101011",
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"100101000100",
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"100101010010",
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"011110111010",
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"010110001001",
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"010101101010",
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"001111000101",
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"010001001100",
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"001010000010",
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"010000001101",
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"110000100110",
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"111100001101",
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"101010001001",
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"110011111111",
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"010111011001",
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"000111101111",
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"111110000011",
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"011111000011",
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"011110011011",
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"100011010100",
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"000011000110",
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"011100101000",
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"010101001111",
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"010110010110",
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"111111000111",
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"101011001001",
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"011100010111",
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"000000001100",
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"011001001000",
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"110101101111",
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"101101011001",
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"000111011000",
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"000010001111",
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"111110011011",
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"010111011111",
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"011101110100",
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"001011100001",
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"001001011100",
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"110100111011",
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"100101011111",
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"000111001101",
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"011110100101",
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"111100011010",
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"111000110100",
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"010001010101",
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"100001000100",
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"000000101110",
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"011011001110",
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"111010100111",
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"100110110000",
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"110110110001",
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"001110001001",
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"110010111111",
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"000111001011",
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"011001011111",
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"000010001011",
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"100010101001",
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"100101100101",
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"010110011001",
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"101101011110",
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"101011100101",
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"101110110101",
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"111001100001",
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"001000101010",
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"101011010011",
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"110011101100",
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"101100001101",
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"101111101001",
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"111100000010",
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"100111000000",
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"010010000100",
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"001001001001",
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"000110111110",
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"011010001110",
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"100011110000",
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"110111101000",
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"110000010101",
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"011011101011",
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"101000010001",
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"110110110010",
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"100000000001",
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"011011010101",
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"000111111101",
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"100001111011",
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"100100000110",
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"001111100010",
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"110010000011",
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"101101111001",
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"110011010110",
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"010001011011",
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"010010011010",
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"001110011110",
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"100111010010",
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"110011011010",
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"111100010011",
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"111011011101",
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"100001010110",
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"101011001111",
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"001001000000",
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"101011100010",
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"010000110011",
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"100111110000",
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"010010101110",
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"110000110011",
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"110100010111",
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"001011110010",
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"101011000111",
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"000101110011",
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"010001111011",
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"000010011011",
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"011000001011",
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"000000100100",
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"001101111001",
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"011000000101",
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"100100001101",
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"101001000011",
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"111100100111",
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"111000111111",
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"011000110011",
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"101011011110",
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"101110000100",
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"010101000001",
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"110111111100",
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"100000011011",
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"101001011010",
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"111011000110",
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"110111101011",
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"011000101100",
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"100001111111",
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"111011100101",
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"110111110101",
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"101011111010",
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"010001101100",
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"111000111001",
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"110001000011",
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"100000110100",
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"010110100010",
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"100011011111",
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"001111111001",
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"101101011011",
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"011101011000",
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"100000111000",
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"101000000110",
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"010110011101",
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"110010101101",
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"011110000010",
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"100011011010",
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"110010110101",
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"110111100011",
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"110100110000",
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"101010011100",
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"001010010110",
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"100110011110",
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|
|
"110100111101",
|
|
|
|
|
"000100001000",
|
|
|
|
|
"111011110101",
|
|
|
|
|
"001011001000",
|
|
|
|
|
"011101010111",
|
|
|
|
|
"101000000101",
|
|
|
|
|
"011111111001",
|
|
|
|
|
"111001011011",
|
|
|
|
|
"010001110001",
|
|
|
|
|
"010001110011",
|
|
|
|
|
"001100111001",
|
|
|
|
|
"100101110010",
|
|
|
|
|
"100010100010",
|
|
|
|
|
"110011111001",
|
|
|
|
|
"111011101011",
|
|
|
|
|
"001101110011",
|
|
|
|
|
"000011011010",
|
|
|
|
|
"101000010111",
|
|
|
|
|
"000011010001",
|
|
|
|
|
"101000010010",
|
|
|
|
|
"000011101111",
|
|
|
|
|
"011100001100",
|
|
|
|
|
"110110011001",
|
|
|
|
|
"011101000001",
|
|
|
|
|
"010011011001",
|
|
|
|
|
"111010010011",
|
|
|
|
|
"001011000111",
|
|
|
|
|
"010111100101",
|
|
|
|
|
"101001111011",
|
|
|
|
|
"101111011011",
|
|
|
|
|
"011011001100",
|
|
|
|
|
"010100110000",
|
|
|
|
|
"000111100011",
|
|
|
|
|
"010111111011",
|
|
|
|
|
"100101101010",
|
|
|
|
|
"010001100000",
|
|
|
|
|
"111110100011",
|
|
|
|
|
"100101011101",
|
|
|
|
|
"011011011011",
|
|
|
|
|
"111101011001",
|
|
|
|
|
"001000011101",
|
|
|
|
|
"101111110011",
|
|
|
|
|
"100100100110",
|
|
|
|
|
"010111100111",
|
|
|
|
|
"110000001101",
|
|
|
|
|
"000001010011",
|
|
|
|
|
"100001010100",
|
|
|
|
|
"101101000100",
|
|
|
|
|
"110100101101",
|
|
|
|
|
"110001100011",
|
|
|
|
|
"110000111010",
|
|
|
|
|
"101111011010",
|
|
|
|
|
"011011100000",
|
|
|
|
|
"100101100110",
|
|
|
|
|
"010110010001",
|
|
|
|
|
"101000011000",
|
|
|
|
|
"011001110100",
|
|
|
|
|
"001110001100",
|
|
|
|
|
"100100110100",
|
|
|
|
|
"001110101011",
|
|
|
|
|
"000110000100",
|
|
|
|
|
"101000110001",
|
|
|
|
|
"101101110010",
|
|
|
|
|
"011100001110",
|
|
|
|
|
"111011010011",
|
|
|
|
|
"011001110001",
|
|
|
|
|
"110101100000",
|
|
|
|
|
"110000010011",
|
|
|
|
|
"010111101111",
|
|
|
|
|
"101111101111",
|
|
|
|
|
"010110100000",
|
|
|
|
|
"111111011011",
|
|
|
|
|
"100110000110",
|
|
|
|
|
"011000111100",
|
|
|
|
|
"110010111110",
|
|
|
|
|
"001000001101",
|
|
|
|
|
"011101011010",
|
|
|
|
|
"001010110101",
|
|
|
|
|
"100110001100",
|
|
|
|
|
"101000000011",
|
|
|
|
|
"110001010011",
|
|
|
|
|
"100001011111",
|
|
|
|
|
"000001101001",
|
|
|
|
|
"100001101101",
|
|
|
|
|
"011100100000",
|
|
|
|
|
"011011000110",
|
|
|
|
|
"001110111011",
|
|
|
|
|
"100111100101",
|
|
|
|
|
"001110000000",
|
|
|
|
|
"110101001101",
|
|
|
|
|
"101100101100",
|
|
|
|
|
"001110000001",
|
|
|
|
|
"110000011010",
|
|
|
|
|
"101100110010",
|
|
|
|
|
"011010100010",
|
|
|
|
|
"111101111010",
|
|
|
|
|
"110001111100",
|
|
|
|
|
"011110101000",
|
|
|
|
|
"110011011000",
|
|
|
|
|
"110100000111",
|
|
|
|
|
"100000000111",
|
|
|
|
|
"101100101110",
|
|
|
|
|
"011001000011",
|
|
|
|
|
"011011100110",
|
|
|
|
|
"101001000001",
|
|
|
|
|
"001100100101",
|
|
|
|
|
"011011110011",
|
|
|
|
|
"110110001011",
|
|
|
|
|
"000101011110",
|
|
|
|
|
"010011110101",
|
|
|
|
|
"110101001010",
|
|
|
|
|
"111110101010",
|
|
|
|
|
"110111010001",
|
|
|
|
|
"010111001101",
|
|
|
|
|
"001101011000",
|
|
|
|
|
"011001011011",
|
|
|
|
|
"011101000010",
|
|
|
|
|
"101010111110",
|
|
|
|
|
"010010000101",
|
|
|
|
|
"100100010010",
|
|
|
|
|
"110010000010",
|
|
|
|
|
"000000001110",
|
|
|
|
|
"100110011100",
|
|
|
|
|
"000110100111",
|
|
|
|
|
"000000011011",
|
|
|
|
|
"111011010000",
|
|
|
|
|
"100001111000",
|
|
|
|
|
"000010010011",
|
|
|
|
|
"110010000101",
|
|
|
|
|
"011001101111",
|
|
|
|
|
"010010000110",
|
|
|
|
|
"101000110100",
|
|
|
|
|
"010111010110",
|
|
|
|
|
"011010110010",
|
|
|
|
|
"001101110001",
|
|
|
|
|
"001101000100",
|
|
|
|
|
"001001101011",
|
|
|
|
|
"010111110101",
|
|
|
|
|
"100100110101",
|
|
|
|
|
"000101011011",
|
|
|
|
|
"110110000111",
|
|
|
|
|
"000100110001",
|
|
|
|
|
"111111110011",
|
|
|
|
|
"111010110000",
|
|
|
|
|
"000000110001",
|
|
|
|
|
"010011101001",
|
|
|
|
|
"111110011101",
|
|
|
|
|
"101011100100",
|
|
|
|
|
"001010100101",
|
|
|
|
|
"010111111100",
|
|
|
|
|
"010101100100",
|
|
|
|
|
"011010000000",
|
|
|
|
|
"010111111111",
|
|
|
|
|
"111001100011",
|
|
|
|
|
"111001011110",
|
|
|
|
|
"010011111010",
|
|
|
|
|
"001010101100",
|
|
|
|
|
"110001100101",
|
|
|
|
|
"011000011110",
|
|
|
|
|
"001111010010",
|
|
|
|
|
"010110001110",
|
|
|
|
|
"011101011110",
|
|
|
|
|
"101100011010",
|
|
|
|
|
"000000001000",
|
|
|
|
|
"000000000000",
|
|
|
|
|
"100000011000",
|
|
|
|
|
"101000001111",
|
|
|
|
|
"101101010010",
|
|
|
|
|
"001010110010",
|
|
|
|
|
"101111001001",
|
|
|
|
|
"111000000001",
|
|
|
|
|
"010011001010",
|
|
|
|
|
"110000000101",
|
|
|
|
|
"101101101000",
|
|
|
|
|
"110011110111",
|
|
|
|
|
"111101010110",
|
|
|
|
|
"111011011011",
|
|
|
|
|
"100011101100",
|
|
|
|
|
"101100011011",
|
|
|
|
|
"000011010110",
|
|
|
|
|
"111100111101",
|
|
|
|
|
"110000100100",
|
|
|
|
|
"001111110111",
|
|
|
|
|
"011110011101",
|
|
|
|
|
"010001010110",
|
|
|
|
|
"101000001110",
|
|
|
|
|
"101010101110",
|
|
|
|
|
"010110000011",
|
|
|
|
|
"100001100000",
|
|
|
|
|
"000001000011",
|
|
|
|
|
"110011100010",
|
|
|
|
|
"000101000110",
|
|
|
|
|
"010010110110",
|
|
|
|
|
"100111100011",
|
|
|
|
|
"000110100100",
|
|
|
|
|
"110100101110",
|
|
|
|
|
"001101100101",
|
|
|
|
|
"110000100000",
|
|
|
|
|
"110001100110",
|
|
|
|
|
"110010000001",
|
|
|
|
|
"010010011011",
|
|
|
|
|
"101111001010",
|
|
|
|
|
"101010010110",
|
|
|
|
|
"001001001100",
|
|
|
|
|
"011001110010",
|
|
|
|
|
"111010100100",
|
|
|
|
|
"000001000100",
|
|
|
|
|
"010101101001",
|
|
|
|
|
"101001100011",
|
|
|
|
|
"010010100100",
|
|
|
|
|
"010111001010",
|
|
|
|
|
"101000000100",
|
|
|
|
|
"011001010100",
|
|
|
|
|
"101110000110",
|
|
|
|
|
"011010000111",
|
|
|
|
|
"101001110001",
|
|
|
|
|
"111000011110",
|
|
|
|
|
"010011000111",
|
|
|
|
|
"111000100111",
|
|
|
|
|
"010101010011",
|
|
|
|
|
"010010101010",
|
|
|
|
|
"011110011001",
|
|
|
|
|
"110010011101",
|
|
|
|
|
"110100001001",
|
|
|
|
|
"011111001001",
|
|
|
|
|
"011110100011",
|
|
|
|
|
"100100001111",
|
|
|
|
|
"000010100101",
|
|
|
|
|
"110010010111",
|
|
|
|
|
"111111000101",
|
|
|
|
|
"000001010100",
|
|
|
|
|
"001000011110",
|
|
|
|
|
"011101001110",
|
|
|
|
|
"111001100101",
|
|
|
|
|
"111110011110",
|
|
|
|
|
"000110111100",
|
|
|
|
|
"110001001110",
|
|
|
|
|
"011001010111",
|
|
|
|
|
"101100011101",
|
|
|
|
|
"010000001001",
|
|
|
|
|
"100100011101",
|
|
|
|
|
"101001101000",
|
|
|
|
|
"100011110101",
|
|
|
|
|
"100110101101",
|
|
|
|
|
"000001111001",
|
|
|
|
|
"011110010001",
|
|
|
|
|
"001001011001",
|
|
|
|
|
"110111100111",
|
|
|
|
|
"100000010111",
|
|
|
|
|
"011110010010",
|
|
|
|
|
"000011110000",
|
|
|
|
|
"111011110111",
|
|
|
|
|
"101110110010",
|
|
|
|
|
"000111010100",
|
|
|
|
|
"010010101001",
|
|
|
|
|
"000011010010",
|
|
|
|
|
"101010001011",
|
|
|
|
|
"111100101100",
|
|
|
|
|
"111101101111",
|
|
|
|
|
"101001011111",
|
|
|
|
|
"101110001010",
|
|
|
|
|
"010101011110",
|
|
|
|
|
"101001001101",
|
|
|
|
|
"100010111100",
|
|
|
|
|
"011110111001",
|
|
|
|
|
"110100111110",
|
|
|
|
|
"001101000011",
|
|
|
|
|
"000111100010",
|
|
|
|
|
"100111110011",
|
|
|
|
|
"010111011011",
|
|
|
|
|
"101010111100",
|
|
|
|
|
"100111111110",
|
|
|
|
|
"001111001011",
|
|
|
|
|
"000101110001",
|
|
|
|
|
"001000001010",
|
|
|
|
|
"010001101101",
|
|
|
|
|
"101101001101",
|
|
|
|
|
"111100010000",
|
|
|
|
|
"011110000110",
|
|
|
|
|
"100011101110",
|
|
|
|
|
"111100001110",
|
|
|
|
|
"101000100010",
|
|
|
|
|
"101010100101",
|
|
|
|
|
"110011010111",
|
|
|
|
|
"110010101010",
|
|
|
|
|
"110110111111",
|
|
|
|
|
"010010110011",
|
|
|
|
|
"000111110010",
|
|
|
|
|
"111100110011"
|
|
|
|
|
]
|
|
|
|
|
|
|
|
|
|
example = [
|
|
|
|
|
"00100",
|
|
|
|
|
"11110",
|
|
|
|
|
"10110",
|
|
|
|
|
"10111",
|
|
|
|
|
"10101",
|
|
|
|
|
"01111",
|
|
|
|
|
"00111",
|
|
|
|
|
"11100",
|
|
|
|
|
"10000",
|
|
|
|
|
"11001",
|
|
|
|
|
"00010",
|
|
|
|
|
"01010"
|
|
|
|
|
]
|
|
|
|
|
|
|
|
|
|
count :: Int -> (Int, Int) -> [Char] -> (Int, Int)
|
|
|
|
|
count pos (zero, one) num = case num !! pos of
|
|
|
|
|
'0' -> (zero + 1, one)
|
|
|
|
|
'1' -> (zero, one + 1)
|
|
|
|
|
_ -> (zero, one)
|
|
|
|
|
gammaBit (zero, one)
|
|
|
|
|
| zero > one = False
|
|
|
|
|
| otherwise = True
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
bitsAt input pos = bits $ foldl (count pos) (0, 0) input
|
|
|
|
|
where bits a = (gammaBit a, not $ gammaBit a)
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
toNumber :: Foldable t => t Bool -> Int
|
|
|
|
|
toNumber = foldl addBit 0
|
2021-12-03 22:06:32 +01:00
|
|
|
where addBit a b = a `shiftL` 1 .|. (if b then 1 else 0)
|
2021-12-03 09:04:13 +01:00
|
|
|
|
2021-12-03 22:06:32 +01:00
|
|
|
combineList [] = ([], [])
|
|
|
|
|
combineList ((a, b) : rest) = (a : arest, b: brest)
|
|
|
|
|
where (arest, brest) = combineList rest
|
2021-12-03 09:04:13 +01:00
|
|
|
|
2021-12-03 22:06:32 +01:00
|
|
|
{-
|
2021-12-03 09:04:13 +01:00
|
|
|
|
2021-12-03 22:06:32 +01:00
|
|
|
>>> (a, b) = ( combineList $ (bitsAt input) <$> [0..(length $ head input) - 1])
|
|
|
|
|
>>> toNumber a * toNumber b
|
2021-12-03 09:04:13 +01:00
|
|
|
2003336
|
|
|
|
|
|
|
|
|
|
-}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
filterUntilLast pred list = filterUntilLastAt 0 pred list
|
|
|
|
|
where filterUntilLastAt pos pred list
|
|
|
|
|
| [item] <- list = item
|
|
|
|
|
| otherwise = filterUntilLastAt (pos + 1) pred (filter (pred pos list) list)
|
|
|
|
|
|
|
|
|
|
|
2021-12-03 22:06:32 +01:00
|
|
|
oxyFilter :: Int -> [[Char]] -> [Char] -> Bool
|
|
|
|
|
oxyFilter = makeFilter (<=)
|
2021-12-03 09:04:13 +01:00
|
|
|
|
2021-12-03 22:06:32 +01:00
|
|
|
co2Filter :: Int -> [[Char]] -> [Char] -> Bool
|
|
|
|
|
co2Filter = makeFilter (>)
|
|
|
|
|
|
|
|
|
|
makeFilter predicate pos list item =
|
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item !! pos == keep
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where
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(zero, one) = foldl (count pos) (0, 0) list
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keep = if predicate zero one then '1' else '0'
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{- |
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>>> toNumber [x == '1' | x <- filterUntilLast co2Filter input]
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737
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>>> toNumber [x == '1' | x <- filterUntilLast oxyFilter input]
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2547
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>>> 737 * 2547
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1877139
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-}
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