0000011011100111100100011100101010111011001001010010110110011000111000010001001000100101110100011101101010000101101101111000101010011001111101100110000111001111101010111001110100001101111110101010101001000111001111010110100011111000000011000001000001010111000100001100110110010010010001101110011110111000000001001111000000111110100100111011011100111101111010001011011000000100001111110010111111100110 1000011000110101110110110110101011000011010101101101101110011001110111111000111010000011001101011011010101111001110001000100001110000100010011100001011110010010110001010110011011110101101100011100001100000011100110000000001010111000101000001000001001100111101101001010111010010100011010101010101000000000101110000100101110001000010000010111110100100111010010100000010111001011001001000101011111111101 0100110010011000101001101101110001100111101000100110101010101001010110101010011000001111001001110000011100100100110110011111000110001110110011111000111110110010101011101111000000110101001010100100100000000011110111100011011111101011110100000101010011010110110011001110101010101000111111010111001010010100100010101110100111000001001000100110110000010011001100101111110001001111100000110110010101010000 1100001010011100100100000011111000101100100011001010101000101111101000001101110000100110010100000010001111100000001101000111110100100000111010010001010111011101110010100111111010101101000100000011100110100100010000101010111001111111001111100100010010001000101111011110001101111101010110010110110011011101000011000001100010101100111101010100010110000111001001000100000001011100001010110001100011101100 0111010110101100101111111101011010100111010010101010001101001010001001101101110000100110101001000101100001110000010110111110001001111001011011100000111001101000111011011110110000110000101101101010000010110011110001110110111101010101010101100011010011111011000011011111110000011100101001100010111000010011011011110101101000011110000000101010010001010110111110110101011001000111000110110101110110010010 1100111010010101111110011011110000010111100111100011100000101100010010010011111010110011111010100010100010101001111010001001001100111110111101101101111001101111111100000100111111011100110001111010000001011111000011011001110001110001110010010100111110110001001111111001110100000010000110100101000010111000010001010110101011001000101011110001011110110110111010010100011010100000010100011010010100011100 0101111111011000000111111111011010101111101101100111111010100010110101110110001010011011101000101110001000010110011011111011100111001001001100000111111111110110000001000101111111001010011100101111011111111000101101001011111111000101011111100010110101011011110010110110011100100110111001010001101000000111110110100111001001011001111001010111100001011000110100000010111110111100111101010100111100001101 0111000011001011100011011100010101001101110010101110110110000000110011000001011001100011001011000011111101110010001001001000111000000110110100000011000101111001110110101100001111100011111010011101100001001011010101001010101000000000001101011000111001011110001000101000100011100101111100010101001110111011010010111011101110000111111010011001101110010011111111111000101111110000111101101110100110010110 0111110110010000110101111110001101001110101010110111011011011000000010101110111000101001001011110100000010000101001001110001001110110011111010010000111011000101000011011101000101010011111000000010100011101011100111110101000010001110110111001100110110110101100000001010111100011111010010110001111010101010111110110000110000011110011100110100110101000011111111001011111101110100110111000001011100100011 1011101111101111101110111001110100010100001001101111110111010000001010010101100010101111111000101010101110010001110111111100010001100110100110011101011000101000101101011010101000011010100111001101110011000100001111101100000010101100110010011101100011101011100001110001100110010110100111010001011000111110110000010101100000111001001100100101100010100011001001000100011010010100100000100110000100101001 1011000110100111111010111000001010011001110001101000101011011111011011111110101100111001001111101101001111011111111111001101110010011111110101100101011100000010011101011010000100101110001000111010001010000101010010100010000000111000010010110010001110010100101011111010010101011001111000110000110111100011110000011111100000100010101101100110010001101111111011001001111011100011010101110010101110001011 0011000110111011111000101100100010110000110011110000100010110001111100111000110010100011100110110010100111100000100101011100101001111011001011000111100000010000000111010110010000101010110101101101100011100110001100111110101100010101110101010101001100000111101100110010100110111010000000100111000000001101110111100001001010001101100011000111010001000100000010111011010110011011100110100100100100101110 1100000000001101111010001001111110001100101000010010001110010100001110101001111000100110101000010100010000001110011001011011110001011100111101010011100010010011110011010101000110000101111001101100100110000001011001100110011010111100110010010010001101001110101110010101100010010101011001101111010010011100010001101010101010001010110110110111000000100111100101111001000000100110101110001110000010101100 1101100110010000100111000001001001010101001101001001000011011000001001001011110000010100011010100010111110110111000001010111101101111101100000000100101000111011110111001100111011110011110110001110001111000110000011010111011111100110001101110100101001010000110110111111011100001011011011101001110100111110100001001100111000110001001101110111100111010111101101100000001011110100010111100001000010000111 0000001100101110011101111010111000010000111100111101110100100101000101001100110101000101111100010001100011110010110001111111000110011110110001111000101100011100110010010011001011100001101100000110101110111001000010100001111010101100101111100110010100101011100001110101011110101101010111000101000100011101000101001010101000100011010101101001000100100010011001101110000011010111111110000010001100101010 1101000001011010011001011111011000110100000110111110110011001111100011010001010110100000011101101001111000100110101010001011100010100100101001101101100010101000010011010011100111100001000011100001111011100111100011011111110000100111001100100111100100011100000011011001000000001101001101000011011010100111010000011001000000110001100111101110111100110010111010110111001100101100100010011101000000100111 0000101001100111110101100000110000011010111101000100011100101001001111000111100010011110001100010011100011011001001000001110000000100100101101111011100111000101001000100010011000000101101000001100110001001100100001001011100101000001101100110111101011101110101100010000111011000100110100101100010011011000001111100010111011011110110100111111110110011010010010101100011000001011100010001011101111001100 1000010010001111110111111110000100001001111001000111110100000111011101001110001001010111010100101101111010001000101111110111111111001111010110100010001101010110011000001001100110010000011110011101001101100110001001000110011111100111101000011001100100110011110110000111011111001011000101111111110111001010000111011101111011001110100001111010011011110101100110011101010111010110000111011011100011100010 1101010111111000110001000100000111100101111000100100011110110101000111010011100110111011111111000100010111001100111110001111100010100010111111101101010001011010111011000100100110101110000011111011000010111010010101001001000000001101101000101100111101001100101111000111001100000100110101100011101101010110010001011010010111110101000110111000100100011111110010010101110111101000101110100101111110001011 0100101101100100011011011110000101110100001011101011110100011111011100010111100011011000110111000011011111010101001000110101001100111001010000110111110000010000101111111000100100110100100101010101100001101100010101000010010000001000011010000010011100100000101011011111100111110101010111111101111010010010101001111010010000111110010000100001100000010110010110001001110110101011010101100111011010000111 0001011111000101000101001100111101011011100010100101101110001111010111001011110100110101111100001001100000111011110101111001110000011111011011000010001001111100110011101110101000000000100001010011011010100010100100001011010100001000101001010100000111000010010101111111010100001111110110001011100111010001101111100010010011100101111101110111100111011010110111110000010001011100101100011111010101111000 1110101000100010011010101111010010010001100001101000000010010001001111000001011001010001001011100101000110001010000100111101000010100010100100010110010111010011001010011110001011110101101110100001011000111101100101101100110001010011000001100100001110010000000111001101101010001000101111111110000000000001010000011010010011101100011101111000010001001101011100111001101100101111101010001110001011000101 1100000100101101011110101000001000011010101110010100101111110001101110001011011111011110000100100010011001000110110001000010110011010100011110111101011011001100101000101111111011101000011111101111111110100111011110111111011011110011110000111111001100101110011110110010000001010010001111101110001011001001000010110101000000011001001001100110001111111000011000100000010010010010011111001001010001101011 0001111011010010011001100010001110000001000000000111000000010000001111111110111000111010010001011101101000110100011011001110001110101011001100110010110011100110110000111000111000001101011001011001110100011011011001000000001111010100100001111110101110011110011001100110010000011000100100001011000010111101110010010111000010010110111101101110101001000110101011101101110011000111111001110111001111110111 0001010011011110010011100111111011111100111111011010100010010000011100001011011101110111110011000110111010011111010110011001001001001010011001101010110101001111110010011111011010100100001100010001110101010111111011000100010011111111111100101110000110100110011010111100010011011001100011000100010010011100101111100010110010000110001001010100010010101010000111001101000001011100011001100011010110000011 0001110001000110000101101010100001000111111110000000011001010110001101111010001100110010000110111001000010010100001001100010001000101110011100101110010000001001010000001100101110111010010101100111010000101001101101101000011000011011011000000011011001110111100001001111111000111010100100100010010000010110001100000010001110101100110010011111001110011101011110101101000001010000001011001110011101001110 0110100011011100010001000001010011001110000011101110011100000001011001010110100111110001111101000001000001111100001011010100101011100111011010100000000110011010010110011010111101100101111100101011010101011101100011001001100110111101110101001110011010000010101011100101100010111100101000011010010110000111010010000000011110100111100010111110101100101001111011001010100011000101010010000101110111100110 1010100000000101111111100010000101111001001000000110011101101010110001110011000000101111111110101111101000110011000111000001010010011101010110000001011100110111101000111001110010100101101100011111010100001111101110111110011001011111011101101101110110100011011001110001000111010100110101000111111001111101001101111000001101111000011001000111100011101100010110100001000101100101111000101100010011101101 1011001010101110000101010001100100000011101000100001110010110000110010111100111111000111011100101001110111000110011101000010000101000000011101110010110000001100010010101111100001010000001110001101101111110101011001001110100110001011100011011000000011011111101010111011001110110100110000000111000011011111111000111001010110111111100010100111000111101111110101011111100110000110000100000100010101100111 0111010011110100000101000100101001101100000011001000110100011100001000011100110101101000101101001110111101110001010111110101101011001110101101100100010000110000100001111010000000010010100010110011100110000111101010110011000110110000100100111101110001011101110010101100010000010110101011110011000111111111000111110000100111100100110010110010111000001000110011111100111011000011010110110010100111110010 0001001001110001110001100100000110011000011011001001011101000011001101001001110100010101000010000011010010001101101111011111110100101101010101100100101011111001001110110001000111000011110111001000011111010111100010010010000001100010011010110110101011010000101100100111010111110000011111010101011101000001101110100101100000101000111101110010001100010010101011100011000111110100111001100111100101010100 0110101100100111111101111101011010111010110111010000100001000001110100001001011101111000101000011000011110000011011111010000001111110011010001001111001110011110111011110011000111000011111100110101100010001111111110001111101011100011010111101100101110111101110111011011000110001101000001010000011110110001100000011000010011110010001001001110001101010010101001000000001111101001100001000011110000001111 0011101010111101101110000000010000111000011001110000000110111110000000010101000000010001000110101010100010110101101101000101101001101111001100011011110110111011110100001001110100000110110000000001111011011110111110001001100011110110100011111011111011001010100001011011110100011000110010100100101000111010101101010000110000101001000111101000001000001011110011001111110101010111011101011110100110111100 0100100001011001111000100001000111111101000110011001010001001001110110001110101111010000110001011010010011111011100111010001001011101000110101111100000100111001100111110010111011011001001001000101101111110000011010011010110100000101000000100110100000001011001101001101110011011000011010111010010011111111111000110110110001011011100011101101100011100011100110100010001100111100101010011100000011011101 1110110011001001011100110100101101101110001101111001110100010011100101100100010001110001011010000111101010010100100011100101000011011110000111111100010010110000011011000011011101011001001011011011000111101111101011000100111110011110101010011101000001110101110010011111111001000010100011101110100101110001111011001010010010011110111001111111100101000011011000010000101010000011000011010100011000101000 0000100000001000011100010000100110110111010111010001111110100110101000011001111111101110100011110010000011001010001100111010000110101101100010101111101111011010000010011110000001110100110011110100011100001100010010000101001001100011000111000100101010100000101100110100011101010011011101010000111111101101110100010001011011111111010010010011011000100001010000101100011100110011101110100010101111001111 0101000000001110011011101111110011010110100010010010001111110101010001111111011000110000000000000000000000100100011100010000101110001001001110101001000010010100101011001010100010110000001100110011010010001101011000010100101011011101100001010100011110111111001111001011001101111000100001001110110110100101001100101001110000010111010111111110000000000001010010111100001110001100101100000110101001001001 1100011010110001111011010000100100110000001011011111011001010100100100000011011111010101111111110110111000100000010101110000101000100101100101110110111110111010001101100000010111010011111011000100110111011001100100011001001111011011011110001011111100010111101000111001010010110110010010010100101101110001001100000111000111010110011010010010111111011001001001111100111100001000011000101001101110100010 1000110010111101111110001010110111010000100011000111111111001010100111000111010010100100111010101010001110011000011101011010111101110100111010011000011000001101110001110000101001011101001010000111101101101011111000110010110000010001101110110101000010101100101101010110100100000111100001111001000111001110110011100100101011100010111111111110111100110111001101101001110011000111111000011101001110111010 0101010100111001001001101011001111101100101001001101001111001000100000011011111111011001100111000101101101010010011111100000100111000100101000110110000100101100111010001110101110100111110101000100110010110101100010110100101010010100001111001011111111100111010101010111101011010110010111010111101001101100011101000011101111101011010100001101100000011000001011000001010001100110100110011010011100011111 0101101001000100101111110011001110000110100100000100001101101100111010011010001100000100100001010001111011011100100011011111100111010100100111100111100101100101001111111110001011111000011001011011000001100111101110011000011110000100101110000101001111001000111011101111001110101100101111001010100010010110001100101110111101000100111000011010000000111001101011110000100100100100000001111101101010011110 1001010011011000101000001101001010001011101110111110010101011100101000001000011110011010000000101010001111010000010110010111100110101000101010100101011101101111011000000000100110111101000100111000110101011011100010110011110010101110111011010001111100011000001100010011101111011011010111111001110010011110100011001000011100000100101001111101000100111100111010011010101100010011100000101110011001110000 0101000010100100111010011101111011010101000000011100100101010001110111110110001001011110000101010111101010011110100100011100000011011100111010010001010010101110011100000011111011101100100110111101101111000101000000110010011010101001100110011100100011011111110000101111111110011110110010001000101101110000110110110011100000010000010100110010111010001000001101010010110000001011101100100100100101100010 0011100001100001001110101000111100001100010001110001100010101010010010010000001110111010001111110111100101010111111010001010101110110101010001000000100011100110110001000101000110101001100001101111111101111001001011101100011000000100010110011010110110011001101011110100101100100001011100111111110001000011110100111010000110010000100110010011110001100111010111100010101101011110011000001110110010001111 0010010111100001100010000001110001111010000111011101001111111110001011010011000101110100010011010100001010000010101110111110101010100111001000101101000001010111100011110111001110000110100010000011010110100011000010011010111110101100101010111110111000000111000110010001101111101110111110110001010011000110011001000100000111010100001100110001111001100000010101111001101011011000000110110001011101001000 1110000011011110110100010001000110001110001010110010100001110011100100000100011010010010011011001110000000100111110111110101011000100100101111011010110111010001011010011100010011101011011001000000100011000001010001000011011110000000001100100011011000000100100100100001101001110011011001001111010101011000101110011101000111111101010001011000100110011110111000111111010011011000101100110111000111010000 1110001101110100010010111000101101010101000100001010110101101111111000001111101110110000011111101011010000101100010000101101101010001101110010111101011100010110001110011111000110010101110011010100111000011100011001001111110011110000000101001110010000101000001111111011110000001101011110000011000000001100000000110011111011110100000010011001100000010110111110101110101110100001011111101101111111100111 0000101001100000101111110000111011011000100010110100011101101001001000110010100101000000100101001001010000001101110101111010011110101010111111111001010101000011100100101111000011101011011000110111100000011110011011011100010110100111001111011011101100110100100000100101000100000111100111010010101011011111100011010110110111101110111011111100000110001001110110111011101111001101101000000011010001010011 1111111110001011001010100000111101110000110010001011011101000010001101000111110101100001100100011100111100011010100100111011101011100111001001001001111101100110100101001000001111010001101001001111011001100100010010000011010110000100101110011001110000010101010100000011001011110010111110110110110011011001110111000100001110011101110101101000110011101011101110101100001111010011000001100001011010001110 1100001100111010100101000110000001010100101111100111000011111011001111000000000011101111001011101110101101000111010001100010100111100101000100111011111101010010011110011011101010010111110101101100000110011111001001101001100010110100100000000011000100010010111011111100100011000001010011100011100001100011001011110000110111001100101100110001000100101101110100100010111001001011100110000111011100110001 0011000010111111100100010010000111110101001010101100000110010101110011000111010001010010010000101101111110001001111111000101000111001011010001110001000010101010101000000111110110111110010111001110101010111100011111010101101100100101110101111001101111110100000001110101010101110001001001110001110101011010001010110111110011000110001001111110001010000110100110001010100101110010111101000011010111001111 1110001101000101000010100011001100111011001001000011101011000111101110011100010110000000111110110100000001010111110101010110100011011100011110011011000011111110000010111000110111011011101010001011010101101000110101011010111011111010100010011101000001000101000101101101011100001101010101001000101101111111011100000100000101111100000000010100110111101001111110000100010001111100000010110110011010100100 1001110110000010011010011101000101001010011001110000100100111010011000010001010011111010111000100000110101010010000000111101000111010010001000010101111001110101100111111101000010101111001100100010010100000010101111110001100001011011000110100101101011000101011010101101101101000110001101010001000100100011110011100011100110111111011001000001010011111000111111001101111111000010111100011101111010100110 1000110101001001100100010100100111110110011001100000110101110111010000110001110101101011101101010000101010001101000001111110111011111100100010100010001101010110111100001011110101101110001110010010110010011001000000011000101101000101001110011111111111101111000110101010011101110110001111000011000001010101011111010010000011110100011100011101111000100111111110001001011101101001010111100011110111101110 0001111110001101000100110110110101010000010100001011101011101111100010011000111001000101000101011011111111110101011011100000111100101001110100101000110100101111110110000111001100001110101001001110000101010100010010111010010011000000000101110110011000011000011011000011000110101011111111001000101011000001100000011000101110001001010101011001101110100101010100011011111100100011011000000101101100011101 0001111110001111110110001101111111101001110100111000110101011001111101010010000001110010000001000010101000001101011010110000110100110111100010100000011011000111001001000010010011011001010010101101001000101011111000101010111100001110000000110011101101010000101010001110110100001101111111101000101010001101001001111110010111111000100010101010101110101101111001000110101010101111001010100111010100000010 1000001101001100010001111000101001111010101010100000110000100000001100110100000101011000100110100011001100010110101010111111100010000100001001101111011111111110001101100111110000011110101100011010100001001101011000110000110100010111010111000011010010000110111001001100111100010100110100101111001110110100111000010101101100100010100110001111101111010111010111001100011011100011101111011011010011000011 0100011111111111011110010000001000101101110100010111000111000101100010110100000111110110010111101001110111010011011111100100111100100111101110100111000100111010000101100100000101000100010001000100001010101000100100110001100000000100111000010110010010101111001000001001011100011110000011110001001011100100101011010011000001010100000111110100111110101100100101100111110011010011011101000111010000011111 1110110111100100101101111111001101000011101100101010110110100000000001101110101100100010011000001111111010011100010111000001001110110010111110111110010101010110000011101000111101011010000111100110101001100000111100101100100111001001010011000011010001001100001000000000100010000000000011111011001000111010111011001100011010101000010001101100001000010111100110011010010001001010111001110110010100110110 0001001000010000010101110010111011111011101110101011101101001011101011011101101110111011010111011011010000010011101101000011100101010111000010100010100111110001000001001011110000111110000101010000011111001100110111111001101010101011110111001011100100111101011010000100000101001010011100001110100100111000111101011101001100110010111111100111001101101101000110110000010001010000000101000000011001111011 0000010101101100101001011111010011111001110011010010101111101111101001101101110010010101111111011110001011001000111101011110001100101001111101111100010010010101111001110000011101001100000111100101101101011100100110111100011001011101001001111100000110011111110111110011001001100110000001011010100100001010011011011100001111001011101100001111111101111001000100101001000111000001111110011110001111011110 1011011110101001001001001111101000101000101110000001000011001000000111101111010001100001000010100110010001101100111110101010100100111111100011100111000010111000001011011100110111101110010111000000101000011111011110111000000101001100111111110110110110000010100100111000011111000010100100001100101110110000100001101010111010111000010000011000010001000011001001000110110000000000000101010001110010110000 1000101100010010010110111110011111100010111001011101001101111000100000001000100000001110000011001100110110110110101110010110010100111011001110101000001011110000110011000000101001001111111011010110010111010100011101001100000101010101001110000110000000101110110110001100010010101101010100100011011000011011101111101000000110010111010110001000100100101110001110000101101000110010011100100111101110101111 1001010010000010100010100000111111100101100011100100001010011110000100111000111000010100100110001010000010001110011100100001011101110110111101001001100010101011111011100100001110001110001001001101100100010100010110110001011011110110010111101011101101111101101000110001000011101000111000101111100011000101000010001110000000000001011100010100001010010110001111010000011001100001110001010111111101000110 0101010111011110110010110011101011010000111011110100111100011110000101000000000111011001110110110111111110101001100100000101011011001001011111111011001110101111101001000001100110101000100000000011000001001011011110010110111101101010110011111101101111101000101101100011100110011111110010010010000111010011010100100010101111000000001100100111110100111101011000100111100000000110101111001101101011110111 0100000110101000101011101101011000111010001100101001100110110011001001010000010000111100000110011101000101011100101110111111110110010100110111001001101011010011010011110001101110110001001100101000011100010011110110110110011110111100100001001110101011110001111000100001110111000001001000010100010110101110111111011110101111101001000000011110010001101110100101000011111001000111011001110000111110000000 0110011010011000111111101010000110001000000001100001111110011001111110001110000101010010010010111011000101011011011011111101010101000011011001110100100110001110101011110110110000011111100001111001000110011110100100000010100110010100101000010111000111010100111111100100011111010111100011110000001110101001111010000100010011011101010100101010111111110011000010100111001010000100011110101100011011011011 1100011100001100101011110111110010000101000011101010010011111000101101100101011101010011011011010111110001101111001101010111001011111111001100101011010101010100110110111101011000011001010000001011010010100101010001000111101010010000100000101001111100001001000011011010110111001010011000101111101101101000011111100000011010011010011001100000101000010010100100000110010110001000110000110001100000111100 1011001111100100111000010100000110011110000000001011000010110110000010110110011111100011010100110001010011011101100101110000110111010000111000011001011101000001100001100011000111101011010010111000010100101000010010101010111011101000110001001010100000010000001111101010101001011101011101101100101010101111100001100110100111100110110100111111100100110001010001010000011101010101010011110101101100111111 1111101100110000010101001000111010001010111000101100010100101111111110101111001111010101001001011110100101111001011111110010000011000011110110101110001011010010101101000111111011001010010101101001010100110100110100011101101111000000110000001111101010010110000110010110101000100111100010001011011000101101010000101001011100010011101011111110011001010011010001001111001000111111110101011010101010011101 0000101100110111100101110101010110011100011000110101011001111101000111111001011010110001010000010100001010011000011100010111101000111101010010111001101011101010011011111100001111000001110010010101001101001111110011001101111010110001101110000101000011001001000000000001110111100101011110110111101001110000001100010010100101111110101011101011001011101011111110010010000100000110100011111100011101000101 1101010110011111100010100111001011111011001100010101010010111000001011000111001011111111110010011110100111111001010000100111101011011010101111010110100100100000100110001010001010110000110101000101010100011100010010000111110110101110000101111000010011110100000010111000100111010101111101001110010000000000101011111001011100100000110101010000110000111011011111100110000010110111100001100000010011101110 1100000100101010010000101100100001101110001011110000110010000010100000000100101101111111001000100010010001001100001110001110110101111101101011111101111011101001000011111111110111110111011001101011001011110001000011111101001010111110000101101111101111011000111100000100111111001000100110101110011011011000100101111010101000100111110100110011000011101110111100001111111010111100100000001110010011111101 0000000110011010000111110000101000101010001101000110100100010010010111111110001110000001000101100010111101011000101111011101011111101011111100100111000101111000111111100111101100111101100010000110101000101001000101010110100110010000100000011100011010001110001101010101001100111101000111111001101100010101110011100001001000110110111110110000100100000000110110110011001010101010001101000111001110001100 1100010100001100110000011110101001111011101111000111111110110001000100111100001111000001101110010001010100000101010011110100101101111101011000111100111110100010011000111010000001101111100100100011111100101111100011011000000000101001010101111111010111111000001011010011001110100101110100111100010011111111111100101001110110001011111011110010010000001000001001011110110110110100100111111001100111110110 1100001110000100001111100011100110101010101010111111101010010001011100111011001000011010001010110110010011001111101100100011011110000111010100101001100000100110101100100111110111110110111010010111101011110000111100000000010100010001110101010100000100000010010110111010100000111001000000010011111001110011010011011010001100001101110011101110000100100001101011001000101110000000000100011110110100010110 1010010001011011101101110100110111000010001111000110000010110010011011110011000000011110011101011110011101111101110100110001011010100011000011101111001010011000100001011011111111011011010001110111110100010011011011100111100100011011101111011100111101011001100001110000100010010111010101000011101101001101000001001111001000110000000000001101010011001111110000111101011110010000101010110011000001001111 1010011000010101010111101100111001111110100100010001110001111101110000111101100001010101111110110001101110010111101100100111001010011010111111111001000100010101000011100000000010001100111110110001000110001001000011001111001001101010001001001100100110000111001010100110111011111001001000110000111011000110100011110101011110000110111100010111000101010000100110110011101011110110011111100011011110100111 1011100011110010101011101010100110001000110011011100010010011011101101100100011011001010011000001000110101001010100101000000101010110101001011111100010000011000000011011100101100001101100001000010011110010001100000011101110000001111101101010010010101101001011101001100010001101001100011010101110100001111100110100011111001111101110010000111000111011110001100110100010000100101110101001011010011101110 0111100000001101001110001000100100000110000111110101010110010111001110110110100100001110111111101001100111001001011011111111100101111110110101011111100000001101010000110111000111111100001001000111110000100010110101111011101011100000111110100110111101000111100000100010100111111110001010000011100101100100101110001110001010011110001001011001110111011001101111010011111010110011000000011111101000110101 0101011001010001011100111011001110110010110001000110100101101010101000110101011010111100001100111100010101000010010010010001010101011000010101001010100000110010001000010011010110111111011000001101100011110001100110001000000010110000001101101101100001111010110011011100011100010100111001111011011001010111010101010011001101001011111010010110110100001000111011001011100101101101100010101010001011111111 1010011101010001110000011011001110111000000000111101010000001010001000000111001011101010101010111001110011011110110001100001110101110000101010100011000101010100100010111111110110001110111000100100111000011010101010011101101110011101111001101101001101110010101100011101100101000101110001101110010110101100100011000010010000111101010101011011010001000101000100001000100110100011001011111101000110101001 0010000101010110000001001100101111001010110111111111010001001110000010010101001000011111000001001010001111111100100100011000011001011000000010100000001011011000000001101010001011101111101100101000100010111110110111101011010010001001000000010101110001100011010010000011111110111000011101100100101100100011001000000011100001001010001000010011010001100000010011010000001000110010011010011100000100010101 1000100010011011011010010101101010100100010000010000000111100101011000111111111001001010011101101011100111110000110101111001000000001110101001010100111001010010010001010110110000011110000111001110011011001000010111111010010011001111101010110101111011110110110101010000111101000010011011001011010000000111111001100101000100001010100111000010111010010001011011001101000011000001111010001010011011111000 1001100110100010100101010110111100100101001100011001011000110000001111101001101111111011011001010010010110001110001110010111110011100111101011011010111111011100110110010001001011010000001000101111101101101011110110100110110001001111100100011010000100011101111011001010010000010010110000001001000000011110100011100011001111011001110101011010001110111011001100001111011111111110111001111110000001010001 1001100000111011111000111111011100100110110011001001100100010111110010000000100100101110011111111101011000111001001011110001001110000110010010101010011111111101101111110110001111010011011000110110100111100111001011011001010011000101110111011110111101010110000101100101001010110001100111010000001100100001010110011101111111111100011011110101000001010011110100001101110110100111000101101100111001010110 0111100100111110110010100011011101010110100000010011010010110011010010101000000010000100100011000101111100001001101001000001101010011011111101010101001100100100100011101100000110110101100001111110111101010111110001011101111101111100111000001110110110101101111110100100110000011001101011010001101000011000100001101010010100001001000010100111000110001100011011100000100110001010001011100000101111101011 1011000010010101110100111001011000011111011011110110100100010100111111000010100110111011001101100001011001110001010111100101101000001011111101011101001000011111000101101010000100110011100010011001001001011001000010110010010001101100010110010101100111111010110010001111101110000111010100010011011111111000000000000000001111011101000010000000011000000011101011100100111101111110101011011111010000100000 0100111010111000001100011000101101010001011111110100010000111010111100100111111001110010100111101010111001101110000101110100011010111110011011110101011110000001100100010101101001011001000010110110000011011101001110111000000100010101010101010100011010010101100010101001100111101101100110011110111101010100100101010111111110111000100011101111110000101110101010000001000110001111000001111000011101010010 1100110111111001000010011011000111101000001100000111100001101111000011111101110111101010010001010000011101110101110101100110001001111100100111010010110000101100110101010101110010010110011101001111000011111100101010100001010010100001001111101101001110110111100100111111100011100010110001011010010011111101101110101101100001011110011010000001000001000111101000000000011001011001110001010101100101011010 1001010101100000110100001000110010000100000010100100110010001001111010010101100101011001100100001011000011000110111000100000101000001001000100111001000111100001111001110001100001110001110000101011100000000010010001101010110000110010000011111111111000010110100010010010000110111111100101101100000010110111111000001101010010010000100100111110111011000110101100001111010110000100110101010011101010011111 0100100110000101110110100101011001010001100000011110000011101110010110101110011110100000100101001000011001100000110011111000010111001100010100010001011101011110000001001010001011010111010101001101011000011001101001101010110100010111110101100011001101111111001100010011111000000001011111010001101101111001111011111001000001100110110000111010010110100000000111100001110101010111011001110001001011011110 0110111011000111010100101100101110001011000010011110100111101110000001000000110001101011010010100001001101100011110010011101100110001001000000010000011000011111110110010111000001101110011001001101101101000001011100001000111011111110010010101001000010000100001000111110111010001000000011110000110010101011101100011111110010101111000100111111100101000010011000101100000111101101101010001111111010011010 0000010100001010100000000111100100011100100000111101111000001001100111001010011111111100000111101101101101110001101100011011001100100000111010111000111000100111100000101111001000001001100001001100110111110110100101000011101011001110000110000010100101010001010010100010011011010101110001000000011010010100110001100011100011000111011001011011011000111010110101111110110110001011011000101110101100011011 1101001010000100110101111111001011000001111000011001100110110111011001100011101100111101100011101010011000000010101100110000011000101101001010010100100011001100100001110100100011000010110000101011101111001100001101011010100011001011010110010111101000111111111110110111110011010101111000110000110111000000000101100101001000111001001110011100101110111011011010010101000001100100010110110110100101110011 0000101010110001011000001010011001001110101010100000101100101111000011011101110110010101111011110010001101101101001001011001000100011101010110000000010001001001100000111100101110100101100001010001011011000100100100011110100111011001100000010010110111110010011111000011110100010011010011000011010110010010011000110000101100100001000001111001111111011000101011011110110111110000111001111111101010010000 1001001110011001100100111011101000011111011010000010110010001100100101100000000100001010000110010100110011000100110110101110000001010100011110101010001111100110101100100111011011100011111101100000011101010101010011000010101111011010101011010011111111010100100100101110110001001001010010110101000111000110100110111010011100000010110111101001001001111010000011100001101011011111000111001111001111001101 1110001100011110101100101101101001000001110000110000101101110111101010011110010111000011100100010111010111000010010010000101110001110100111010010101001010000100100100100010010001100000101000010100111010011001011010111001001010011100110100110110011111011111010010001110101000110111011110101100111110010011100000100000110001000101000110101100110000011100111101111101011000100010011101101001000101101100 1000001111100001001000011001000100101011000010110010001000101101111111111011110000101001111100111110101111101010111111011101100010101111001001110111110100000110001010001111100101110001111100000011010001111010011011010101010111111110001110110101000000111111111001100101010011101010101111011110101100100101001101111010111101101001001100101000110010101100001111011010100111011111101100110000101110001001 1100111101101101001010001011000100101110101011101111001011100011010011010011011010111001100010000011100101000101110100011111100110000100101110100000100110001000011101110001011001010101111100011110010001001100000010011111101001101111101110011011000011000110100111010001100110111001101010111001110100000101111101101001100000110000111100011001110000000101010000000001100100111111011110011111011001111011
cTrader

cTrader5.4の新機能

8/30/2025

cTraderがアップデートされました

お久しぶりです、ajinoriです。しばらくcTraderから離れてたのですが、久しぶりに見てみたらcTrader5.4で面白いアップデートがあったようじゃないですか。

アルゴリズム開発にpythonが利用可能になりました!

今回はもうこれだけです。

他にAPIのアップデートはあったようですが、そこまで大きなものなさそうなのでリンクだけ貼っておきます。

これまではアルゴリズム(cBot,インジケーター,プラグイン)の開発にはこれまでC#しか使えなかったのですが、これが pythonで開発できるようになりました。

今回はこの件について語りたいと思います。

使い方

新規作成画面からすすめていくとプログラミング言語選択の画面が出るのでpythonを選択します。

最初だけ必要なものをinstallするか聞かれるのでインストールを選んで進めてください。

設定が終わると

pythonコードが出てきました。最初の数行は動作させるためのおまじないだと思っておいてください。class ~ がcBotクラス本体です。

on_start, on_tickなどpython風の名前に変わってますが、そのままC#で書いたときのOnStart, OnTickに該当します。その他、on_stop,on_barなどなどそのままC#で書いてたときの名称をスネークケース(小文字+アンダスコア区切り)に変換した名前で定義可能です。

pythonで書けることのメリット

いまいち何が嬉しいのかピンとこない人も多いと思うのでajinoriが思うpythonでアルゴリズムを作れることのメリットを上げておきます。

習得しやすいメジャー言語

pythonは比較的わかりやすく習得しやすい言語と言われており、あらゆるところで使われるようになってきています。最近だとpythonからプログラミングに入る人も多いようです。

cTraderのcBot開発を他人にオススメするときも「C#の勉強にもなるよ!」というより「pythonの勉強にもなるよ!」といえたほうが魅力的です。

データ解析や機械学習のデファクトスタンダード

さらに、 データ解析や機械学習,AI関連開発などは主にpythonが使われています。

cBotがpythonで書けることでこのような手法を取り入れたcBotが作られやすくなります。

pythonで書くことのデメリット

じゃあもう全部pythonでいいかというと残念ながらそういうわけには行きません。pythonにも・・・というか cTrader開発でpythonを使うことにはデメリットもあります。 うん、試してみたらメリット全部ぶっ潰すくらいたくさんありました。

遅い

pythonは遅い です。普通に使う分にはあまり気になることはないのですが、マイクロ秒単位で少しでも早く発注入れたい!というときに使うべきではないです。そいういうシビアなプログラムはC#で作っておいたほうがいいでしょう。

とはいっても大抵のプログラムでは気にするほどではないと思います。

ビルド時のチェックが効かない

pythonにはそもそもビルドという概念がありません。

pythonで書いたcTraderアルゴの場合、本体はC#なのでビルドは必要なのですが、pythonコードは単に中に埋め込まれてるだけのため、中身がどんなにおかしくてもビルド成功 してしまうのです。

当然そんなもの動くわけもなく実行時にエラーをはいて止まります。

pythonコード部分を別にテストする仕組みを作らないとめちゃくちゃデバッグがきつくなりそうです。

開発環境は整ってない

これはpython自体のデメリットではないのですが、 cTrader周りの開発においてはまだまだC#のほうが開発しやすい 状況になっています。

というのも、これってpythonnetというライブラリを使用してpythonコードをC#プログラム内で実行させることで実現してるので、いわゆる普通のpythonプログラムではないんですよね。

私は普段VSCodeで開発していますが、この辺の事情によりpythonでcBot作ろうとするとインテリセンスがうまく効きませんし、エラー表示だらけになります。もしかしたら頑張って色々設定すれば解決できる部分はあるかもしれませんが、そこに頑張るくらいならC#で書くかな・・・と。

今のところ「一応pythonでも書けるようになったよ!」という程度で決して開発環境が整ってるとは言い難い感じがします。

いくらpythonが使いやすいとはいえこれは初学者には厳しいです。

pythonだけでは完結しない

もとがC#なこともあり、現状pythonだけで作り上げることはできません。

パラメータの定義は結局C#の.csファイルで行う 必要があります。

別にC#を知らなくても決まった書き方さえ覚えればできるので、そこまで大変ではないのですが.pyファイルと.csファイルを両方編集しなければいけないのはちょっと手間です。ついでにcTrader組込エディタだとそもそもどこから編集すればいいのかすらわからないです。

サンプルコード

ぶっちゃけデメリットのが目立つのでサンプル作るかも迷ったのですが一応・・・

MAクロスで売買するcBotをpythonで書くとこうなります。

import clr

clr.AddReference("cAlgo.API")

# Import cAlgo API types
from cAlgo.API import *

# Import trading wrapper functions
from robot_wrapper import *

class py_ma_cross:
    def on_start(self):
        self.label = "py_ma_cross"
        # 期間は UI から設定(FastPeriod / SlowPeriod)
        self.fast = api.Indicators.SimpleMovingAverage(
            api.Bars.ClosePrices, api.FastPeriod
        )
        self.slow = api.Indicators.SimpleMovingAverage(
            api.Bars.ClosePrices, api.SlowPeriod
        )

    def on_bar_closed(self):
        # ゴールデンクロス: fast が slow を上抜け → 売りを閉じて買い
        if self.fast.Result.Last(0) > self.slow.Result.Last(0)             and self.fast.Result.Last(1) <= self.slow.Result.Last(1):
            self._close_positions(TradeType.Sell)
            api.ExecuteMarketOrder(TradeType.Buy, api.SymbolName, 1000, self.label)

        # デッドクロス: fast が slow を下抜け → 買いを閉じて売り
        elif self.fast.Result.Last(0) < self.slow.Result.Last(0)             and self.fast.Result.Last(1) >= self.slow.Result.Last(1):
            self._close_positions(TradeType.Buy)
            api.ExecuteMarketOrder(TradeType.Sell, api.SymbolName, 1000, self.label)

    def _close_positions(self, side):
        for p in api.Positions.FindAll(self.label):
            if p.TradeType == side:
                api.ClosePosition(p)

パラメータの設定の仕方

移動平均線の期間など、外部から渡すパラメータですが、これはC#のファイルで用意する必要があります。組み込み開発環境からの編集のやり方が見当たらないのですが、直接ファイル開いて別のエディタで編集してもいけます。

.pyファイルがあるフォルダを見てみてください。

windowsなら"ドキュメント/cAlgo/Sources/Robots/{cBot名}/" にあると思います。

ここに{cBot名}.csというファイルが作られてますので、その中に定義します。ここは普通にC#で書くときと同じで、上記サンプルだとこう。

using System;
using cAlgo.API;
using Python.Runtime;

namespace cAlgo.Robots;

[Robot(AccessRights = AccessRights.None, AddIndicators = true)]
public partial class py_ma_cross : Robot {

    [Parameter("Fast MA Period", DefaultValue = 10, MinValue = 1)]
    public int FastPeriod { get; set; }

    [Parameter("Slow MA Period", DefaultValue = 30, MinValue = 2)]
    public int SlowPeriod { get; set; }

}

3rd partyライブラリの使い方

サンプルでは使用してませんが、pandasやnumpyなどの外部パッケージも使用可能みたいです。公式

これも同じフォルダ内にrequirements.txtが用意されています。

この中に使いたいライブラリ名とバージョンを書くことでビルド時にpip installしてくれる・・・はずなのですが、私のとこではなんかうまく動きませんでした。

誰か試してみてください。

(書き方はpythonで使う普通のrequirements.txtと同じ)

pandas==2.2.2

まとめ

pythonで書けるようになったぜ!という喜びのポストだったはずが、なんか愚痴みたいなのが多くなってしまいました。

まぁC#ですでにアルゴリズム作ってる人があえてpythonに切り替えるメリットは少なそうですね。慣れてる人は「どうしてもpython使いたい部分だけpythonで書く」みたいな使い方がちょうどいいのかもしれません。

それでも 「公式公認でpythonで書けるようになった」 というのはcBot開発の裾野を広げるという点では大きな意味を持つと思います。

cTrader使いの非プログラマーだけどpythonだけならちょっとわかるぞ、という方はもしよかったらチャレンジしてみてください。

すみません、触ってて気が変わりました。使いにくすぎるし思うように動かない。これはまだ人に勧めてよいものではありませんね。もう少し成熟するまで待つことをオススメします・・・


まだコメントはありません

新しいコメント

コメントは承認後に公開されます。承認まで次のコメントは投稿できません。

cTrader's Life

© 2026 ajinori