1110101000010010111100001101001000001100011100001100111110011111110011010110010000101000110101010100100100000010000110100010011111011001010111100101100001101000000000111000000010110011011111011110001100010000001000001101011100000100110010111001111010001100100111111100111011001110111000100000110000111000010001111111101001110110111010111010100010111110000111011010011110100000111101010000111000101001 1111000001100110111101001100001101011110010001101001001100111000000010011110010001110100011000100011100001010000101100110010011101001011010111101110011000001010111011001011000111100101010001110111000110101100100111100010010000000100100101100000010000011011110010111100100010010000101100011011001100100101000001011101010011010111001010101110000010100010010001111110111101110010011011011010011111000110 1010001110101101110101100100100101000100101010000000110000000010110011011011100010011001100100111001100110001110111011011110101110001110100001000100010101110111100100111101001110001110010110010101000000100110011010000101000001111111011000001101111101100001011111011000100100011110000011101011000100010010011011001001000110100100001100011000000110011011110101100100110110001110000101010111110111111011 1100001001010010011011110100101101111001110000001110110010100010001010011100011110111100011011101011111000011111110000100110110100100101011000011101011000101100101011110010000110101010100101010010100000010001001111111001110100010110100001100101100000101010010011101111011001011011011000100001010011111100110111101100010100110110110001011111101100100111101101001000101010101101111110011101111011000100 1100100000000011001000011011001011001111101100001010000101000011101011100011000110010000110000010110111111110001010110000001000101010111011101100111011100101010000111101010001011111011010010011010100101100000110000001010000010010010011001011011111000000101000001001001001000111101000000101011000101000010010100001110010000111101001110010000001111000111000010100111010100111111101010111010000101000100 0110101000000011011011101110011111001110100100100110011111111011001011010000011100100000110100000011100000010110101100101100110101000110010001010010100111010101101011000101000010000110110011011001100111000110000011111011110110010110101001101101001101000001111011011000000010010010011001000111000101001011000010011101000111010000110000111111101101001101111110000111101011110100100101110101101001000110 1010101101111000010110101010011011110011101100101011111101011100110000101000100110101010101110000011101110001101001101101000110001001011001011011110010010001010011110001110110001001001111101100111110110011100100001000111100101101011101011101010011000011111011101100101001001010001010100000000100011001011000001001001000011111010100111011011011101011010000100000010100111101100000110011110001111100011 0000001111110111111111110000111000100001011010111000110000101010011110111111010111110010011100000101011101010111111101001100011101111001100111101101000000011111111111011111010001100111000111110101110010100111100111111111010001101011111110011010000001101101001001101010010100101101011000010010001111001001010000000001011111111110000110100001101110100011000001000010010111010110000011010101010011111111 0100001100111111000100110010101101111110100101111100000000000010000010000101100011110000101100101000100011110111101111111001001001011010110111110111110100101000110000110100100111100110010111000000000110000001000011011100010001010100100000001000010011111110110010011100001000100000000001001100001110100001000110111001011001111100011101010101111011000110000100101011111101110011000000011010010011001101 1110101110011100010000010011101001001001110010001111110110111001111111111100100101100100010100011111001000111100000000111010010000111111101010010001100011010010001110100010101001111010000100001100010001001110011110101111110011010011110111110101001011110011000110011011001110011110101101111101010011001110111110101100110111001000111101100000111010010100000111010100111000100000100110000101001010100010 1010011101111011100011000010110110100101111101110001010100100001110101100110000001010100101010001100101000100101110101000111101010000000001011101000001110110100110100011110110001001110010111110011101101101011100101101000000111111000000110000100010101100100010001001011101111001011000101001001100000011101000111000011000000110101000111001100011001000110101000101110111000010000000111111101101000000001 0101001000110100001001111110001001101010100100010010111000000100010100100010100101100000100011100100101010111011100110010110100101100100100011010100001000111011000000110100111000000010000011000100110100110011000011011111110101011100000100101010100001010100001101010110010110000001101110001011001111100100010011101011000111010010000011101001101001101000101111111110010010101100111010100001100111000010 1111010011111001011111011101110010001111000010101111110110111000011111111011011001011010101101110000010100111110110011011010011000010000001100011110010111000001001010100100100000011111111001111010111011011011001110100010010110110011111100101100001111001111111110100001111100000101101010110100111001110101011100000110000110110110011101010011000100011011000110111111111101101011111001011100111011001110 1011100100000111110100110110110000010011111111100111101110000001101000010111110010110010111000101010100101100001001100101000000100011010010111101100000101101100000010001101101001100110111101001011001011010110100011000010000111101000010001100111110011111110110001100010111111101100001100100010001000001111110111101101111001011000111110001010101000111101111100011000110100111011111110110010000101101000 0010001000000010100110000001100111000110100100000100111001100010010110001101000111110110100111001011111111110000100111101100010001011011010000001110000101011010110011010001110010101000000101100111000001100011001011010011000001000001101011000011010000100110100101000010000010001000011101011000101010011110110011010000000011101001001010001100000010011011010110101001111010011010011111101110010001000011 0110110011111011100100110100011011111110100110001111010110000101010011101001011011111000101110011111011001101001100010111100010100100101010001011101101111101101100111101111110101101100101000010100111000100100100000101001000100010111100110001111100100000111111001110110110111001010100010110000100011101110110001111001000010010001111111110111011000001111010100010000011100110000010010111000010000110110 0110010011101010110110101110001110111111101001101010001110110100010000000100001001000001010001010001110101011101000001111110010010110010100010000100000000101000111110101100011001110000101100011011101011100111110000101001011111011111000100001101110001111101001111101111011101111010001110110110001110000010011011001010011101100000110001110010000010111101110011001111001001101010010010110010000011001101 1101010001100110000001011000010000111101100000001111011011011011110010110100111000100000000110001001100111101010100011100101111101110100100011000110011001101101011010101100110001001110110001000011101010010110101101000111110000110110001011110101011010000011110011110110001011101010001001110111001100101001111010101001000010101110001110111001000000101101001111101100101001010001100000100011111101010010 0001000010010000110001100101001110000011000100100001001000010111001101111011111100101000000010100010101000101010010011110001111111001001011110011100110010100110001100010010011101101100101010101111100111001000011001101001000100010101010111111100101010111110001100001001111101111100010000010011111100100011000001111011001111001000101001100000101011011110001000110011000010100101000100111100010000111110 1011100001111001011011110010100011110100011100001000011111000101101101101101100101101001101101001011001100111001111000001000000001000000011111001111011110101111111000110111001100000101100101111000000101001111110100100001100000011101110110100111001001000111111000000110000100001010100100011000111010011000000011001010100111100100101001101101010011011010011110011011111111001110000011101001000111011000 1000111100111100101110010101111110011100000101001010110000001110010001011000111010000000110010011100110001100011001011110100011011001111010010100100010001001100111001010101011101111010010001111001111001001000101001001111111010011111100000110101101100010001000000000000001011001001111100111101010101111100010010000101100100010011111000111101000100011101000110011000010111100101101000110000010111110010 0111011111110111111110011101000011000010111111010111100000000110010110101001000001110001010100111010111000011010100010010111011101101111111101111000100111110110101101110001011111010000011010101010110011111111001111100010001001010101010000101101111001101011101001100110101110111010000110011100001100000111001001001111010011000000110010001101101010100110101101001001111000111110000111011100101100000010 0001101110110010100100110010110110000101001100011100100001000110001010100011110100011111101010100111100010010000001101101010011101001100101101111011001111111101011110111000010000010101001000110000000101111110101001101001000110001010111001001011101010110110111101001111011111100010001110110011000011100001110100100000011000100100010100011000011000001001101011110011111011000110010001001001101000111111 1101001011100110110110101011000101110001111011011111010100001111110100100110100110000001110011100100011100110101010101100110110101100010100000010010001111010001111010011110000100110000011010100000101000101010000011100110101101111100001000101111111000101101001101011011000100100010011100111000111000000011000000010100110001001011000011111100010100010001000111100101000010010001101001000001110001010100 0110111010100111010001011000010100111100000000001010001101110001010101011111110000111011101001111111111111110001001011111101000010101011111010011010001001010110010111111111000110011100000111000000101111001111001110001100110011011100011111011101011011000111101101010100100100101011010100101010111100011111110111001101110010100011110111111001000000100000001010101111011000011110001011010111010100010101 1000000011100110111011010100110101000101101011000100100011011010001001001101001000010101001110011011000011010001001011101100111011101100011110100111111101010101001000101110010101011100010011010011011101101100111011101011101011011101101111010010100000100001100101110110011100010100000001001101010100000100000011111100110000011011101100001100110100010000100001101111001000110010001010000000000010100010 1010011110110100100010110010011111011000101101100101011101000110000000110110110001001100101100011100000101000111100111101110011011010011100110111001110100110100111111100111000101011111000011111111111011110100110101110001010000011001000001100010000010010010100011010100011111110010011001101110100001010100101101000001000101010110011001001111011010111100111010111111001111110101101101100101100110001000 0011101010100110010101001011101101010110010001010100010000011100111100011100100011010011001110000100101011010011110110111011110000100010101101101100110000100110011011100111010100111001101111011000100011001011010100110111111111011000101111000101001010101010101101100110011101010001000111001101001011111110000110110010111011001111001001110111111001001100010110110111001001010001101110000100110100011100 1011001010000110101100110111000100011101110010010001011001100100101110010111000110110101000110111001001011101001101111100011011011001000111100110011100110010010001011100000001011111001101011001001111000101111000010001011111101100111110100000000101110010101111101101000011100111011011100001110010100000100110110010011101011100100000000001110101100110110000011001111110011001110000111111110001100001010 1111001001110010010110001001101110111100001010101101110100011000111001101111101001100101000010010100100011001000010100100111000010110110011110111100010100011011011001010110000011101110010111111110011111011010010101111100101000010010000011111011011001100101000001110011000111101101001100110111100011111101011111001110000100011000001111110010100000001110000000010111001100010101000101101000010010010011 0100110111011100000010111010100000100010010011100101001110011011100111110010011011111010010101101000010100001111000100001110110110100000101100110000100111110010010111100001001111111100101101110110110010000100111100100010111100010000111001001011110101101001111001111010111101110100110110110101101111100001110100110111111010101000110000010111100000111110111110001011000001101101101000110011100010001010 1000100011101001101100110011001101011101111111111110101001000110111011010101110100010000010101100010000000100010100110011011001001111000100000000010010000001011000010010010111101010001001010000101110011110101001011111001101010101110111110001001000000101010110010110011010110111010111111101100010100010011101100101001000110001011011110011000001111001100011001110101010101011001011110010010101100101000 0011101011011101001000100110101100101101100011100111000010100100110011100011010011101001011011100111100110000101100011001100100010011000101001011101011001100111111111000000101101100100101010011001011111101110100010100010101100000110100101010011100011000010100110000011000010000101110111000010110011011100111100111001010011100111100101010000010110001000100100000011010111110001010000010011010011111111 0100101100010000010000100000100100001010000100011111010010001100110110000010000000001001101111000111100010000110100011100101000110001101101001100000000001111010011001101000011111011011001110000010100011000111001011001110101111011001011010011111100101110101001001010000000110011011111110110100000000101011010111001000111010110110000100001100001010010100110101111000100101001110111010001110010000001101 0111001110101001100010110001111111010111010001110000001000110000101010101010010000000000010011010010011101101101111100011011011001001111011100101000111101011100000110001110011101101011111000010111110111000001111000111011100001000011100000000111010110011011010100100110011111011010111000011001100100001000000111001011001011010101110101010111100001000000011110100011110110110110101111111010111010100111 1010100010110110011011101101110101011010010011111110000010011001011000101001111010010000110111010000101100111000101001100010001111010000101110000010100010101100101110011010010011001000110011001011010100100001010010001101000001000110111010110010110101101101110111010000000001100011000100011111001001010111100001011111111001101101111110100000100101100011010001010101100011111111111110111111101101101010 0001011101110110001100100000010000010110101100111101111100101011001011110111101110110111101010011001000011000100010101000101000110010111001111101100110000111000101001101101100110110110001101110001110101011111100000011000011011100111111010101001001011010111100110001000001011000110010100000100000101000001001100100100110101111111100111001110001010011001100110101010010000111001100000001111000011110010 1100101001101101101101001100001101100111101001001001010111100010101011011110001101110101101110001101011111111011000100011011000111110111001100000000101110111001100010000000010010001010101010110101100010000001000001001001011011101101000001111110101000001101001010011111000000110110110000110010010011001101110101101100110011010110010110110010010000110110110111011011100101011001110001001110010000100101 0100011110010010000010100001001000001010011101101011101000111101001011000010110010110011000010010011010000100000100110111001001110101000100110101001111101000000100100110001000011011000000010011011111000100100111101100111000011110101101011111000110001101011110001110001111001010000001100101001110100110100011110101000010101110001110101101111100001001011110101011010111111100001000011101111011111100000 1100100000101110011001100001100000111011101111111011001010001000000010101000001011001011110001011101010011110101001001101100010011100011101000110010001000011011101101011000010111000110111100001100100100110010011110101010010010000000001110001101010111000011100111011101010010110011110100111110000011110111000110010111100111110010000000001010110010100000100100000101101000011001100110011110011001111000 1001001010001111000111100100110110100000101000111011011100010101011000001111100111000011111010010001110010100001110010000110010001001111001101011000001001010010101111110101000111011110001010111110101100001100000111000101101100010100010111101001101101000101101001011010011000100100000101011001001000010100010001111111010111000000111101000101111110000100110011110110111110100101101011000110010001000111 0000100000000101101011000111100011100110001011110100001111010010011011000110101010011101110011111011011100011010000110010011000000100111111011010101110110100000000110011011001001100001001101101100001100000011011000111100100010111000001111010100111100101111101111011001100110110010000010001001110101010110110100111001110000011001010000001011100111010011010000100100001100111101000110111111111110111000 0111010010010010010110100101011000010001010110110011110011111010011110101010110100000000110011001000010101011010100111011101100111111000101011011011100111111101011110111111101110101001011010110001101101011100001101000010111011100101001110111100111110011010111100011111110111001110111101101111011110010110111001000110101001010110011000011010001010110000101110111101010100010110111110111000100001100010 1110011010011111011111110011001001100100001101110001011101001000001101111111011100100110001001111100110100110110001111000000110001011001000000110000101001110110111001100100100110101010001010100100001000011011100100111011011111000111001011111011100111010001111101011100101010100100111010001010111011011000001010010110110100111110111000010110000110001101111000011000001111111111101101111001101001000101 0001001100111101101000101011011001010001110110000000010001100101101111001100110011010101010010110001110000010011111111111001000101001110111010011111100001001001101101100111101111111110001011100011001001001111011011101111100101010011100110100001011111111001101101100011110010110111110000110000001100110101010101001011101000000000011001100000100101001001011111100000101110001101001000010101000111101110 0100001110011000001101101000001100110011111100000110100010011101001011111001100011010000101101101110111011110010000000001011111101100110111010101000110001011010010100100000010010101111111000000000111000000100101101011000011110111000001001011001110001011111101010011000111111100010010010011101011101110110110001001101110101010110101110101010011011110010110010111110100010000000001100010100110111111110 0000011100010100100111010110010010100101010001111100101111110001111110100100001100101000110001111101100100111011100010000000100111111100100001110101100111100010110111001011100100101110110100010000100000100100001100000111111001110001011101000101110110010000011100010001101110001001111000001111110100001100110010001101001011110101100110110011001101011100110100100111100010010110001100010000011010100100 1111111010101010101100011011101001110011000011011111110100001011100001001111000111100011100000100000010110001111001001111010011100010001110011110010100111101001111100000100100010111101110100001001100111010101011011101100111001001011011000100101110001011111110000111001100011010100100001100101100100000011001011001001100001001100110111010100100001100010010011001100100110110011101101010011110000110110 1111010001101000101001111101010001101101000111100111011110101110101001000001001111011010100001000111110110010101111110001100011101011101000001000001000000000010111000010001011100111000011010000101100011101101001011110010110010010110111010101101011011110101010011100001010110100110011111111100111100010110111111101110101100100011100000110001101011000110100010010111010000001110101001011100101101110011 1000000010111111011110001000001101100110010000100010101100100111000001010001001111011111101000100101001111010110011110011001011111100001011110000001001100101110111100010101101111110111110001000011010101100011011101010101000011100110100101110001101101000001000010001000010010001011110011010100011000010011011000100001001111110100100100101110101100011110000100001010010010001010111000011111111101000010 0101001110100001010011110101110001101110110011110111101110011111101110101100100011011010001001010000111011111110001011000010111001000010000101100101001010110100000010011110101100010110011000011110111001111000110011001111101010000111111111100011111001101010100001100000111100101011010001111011111100000111010101101001100101011001010100110100110101110001001010100011011100011011100100110000000001100101 1001011011001110010000100001011110101111011110110011101010011000111100111110101000110000100110111001000101010010110101110100000000000110100011100011100100101110110010100010011010010101101110011010110110100110011110101110101011101000101111101100101000010100011111001011010010001010000010111101111000001011110000000011011010000111100000110110110001000011100100000001011110110001001110100110111101010110 1010111011000101000000101000111001100100101111110000101101101100101100000100010110111101011010011111000100101110000010000111110100111111111110101110101111110000101000101000010110001110101010100100001011000111111000001110010011010101101110100010010011101100111001101110001000011111011111001000110010111010000100011000001101101011010110101110011010011110010110001111011111111100011111001010010010010110 1000111000110010011010110111000001000101010100100100110101111001111100011111100001101010110000100100101110110001111111010110110111110010010101100001111000000101000001111100010100110101101000010011101110000101110011000001010100111010100100011011011001001111111010100110101101000001011111010100001001001001000011111000101001101001100000100111000111011100000110111011011001011000111001101100000000111000 0011010100110011100101000100000010000010000000110000011001110101001110000110001000101011001111010100111000101101011110011000100100100001110010010101111110100011001001010100100000001011011011111111010001010000110101011011001010010011011100111111101000110010001010001110100010010011110111101100001100011000111101111000111001111000011000010000111111110001011001111000111101011101110110010000100000110010 1101101000000111111010100000101110100101001110100001110000010010011010100000011101011101001000111000111101011101111010110110000011100111101010001111111001101110110010001100110111010110000110100100110110010101010001001011010010000011101101001001011101011001011100000101000110111011100011010110111101101011101111010110101010110110101010000111000000001010100111101010100111110000101111000001101101001000 0100011011100110011010111001011100010001100001111001010000001000000110101110100010101111011100111000001001011110011101011110100010011011110010100011011001111011010011100111000011000101111101010100001110010101111010011010111110000111000101000010010011011000110001111011000100000111111111010101100010000010100000001000101010001010001110000000010010101001010000001011101100101000100010100100111101000001 1000010100000000010100100011111110010001111010001010011100010010011011010001101011010101001100100101101011110011001011110011010010000101100010010011101110000010000010000000010111111000000101100010011100111101110110011011110000110111110011100111000100100001110000101001110011100111110111010001000001101111010110010010010001010100100110100010011000111010101011011011000110000001101110111111111000100011 0000010000000100111011111010101001010111011100000000011011101000000010000110110100101010010110101111000000111101100001101000010011110110001001010001011011111001100010000001000011011111001010110010010110101110100111000110110101000001011111100101011110001011111000110010101101111110000001000100110010001000110110010101110100100100100000100100111011101101000111111100000001011001100100110010011110111111 1000001010111110000010010001110111001011010001010101111110111100010110111010101011011001001110111100011001110101110010110000010110111011011010010001110010001111011100101101100010101011001101011111101111101000011100101101110011001001000010110010000100011000000100001011101010100001011110100111101001001011110100100001001010111110010010100011001100100001100111101011001001000000001101011010001001111111 0110000001000011110101010100001000000000011100101101110000010100100010001010110011101110000111001010111001000010101001001110011111001010100100110110000100001110000001110100101111101101001110001011001111001110101000100100101001000100011010010111111011110011001111001000001101010111010000001110000011110010101111010001001011111100101011001001100100011100010100001000111010100011010111000111100001101101 1011001111000011011001111101011000111010001001100000011100101001100110001000110101101101001100111110101100010100001001001110000101110111010111011010000111111001000100000010000100101010010111110100100110100110100100101111001001010111000011000000110101101111001001010011110100001111110000111101001100110101111110010011110100111001100111001110010001111101011001000011100000101010111101110111000111001001 0101111101100000001010111111110000001110000010100111101111101010011000001111101110101110101001001110110000001101101011110000000001000000110001010001101111110100110011101011000111010011001010000100010000000111010011000001100010011101011010011111100001001011000001010000111100000111100111001001110011001110000000000111001111111000111001111100111111011011110011111100011111100100010010010111111010101010 0100001111010111110010010100010110001111111110000110010001001111000001111000101111011001110111110011111011101011111110010110011111010000111001100111011111100001011110111011011000011010001111100100110110010000111001001110000110001100010110100110011000010011101110001000110100011100000010111111110111110101001011011001110000001101100001010000101111111110010110011010110100010111010100011001010110001110 1001001111010111000001101000010101110001010110101011110111110100000011101110100111111100101110001111110010010110011000010111011111000011010011100100111011100100110000111110010110111110011011100010101001101001111110001110010001010011010011011110101111101111010011100110101101111100101110000100100101101001110010110000111100000100011111001000100110010111111110000011000000010110011011000101100001100000 0010110101000100101000011001011011011010111101101110011100000110000001001111110001100000110110001100100100011011011100101101110101100110011010011011111011111110100000011011101011101100110000011111111100001011100111000001110011000111100111100110110010110111101011010011101001100101110010100000111010010100111100001101000011110011001101101011010000101111001000110100100110111110101000010111001100101101 1011000000110100110100100011010110101101100100011010111010011011100011111010000100000011010000000000110100100011110100000100110100101011100011011011100111010111110111000001011000100000110101011011101010100111100000000100100010110001110111101110001100011010111110111000010011000111010001000011101100011101011110111010100001000111100100111000100101011101101100001001110100111100110100000000000011001000 0001110011100010110101111000110010101101100011111011101010001010100011101110101111111111001001001010111110100111010001111111010100000011010111110110001001001110000001110001001110011001101010111110000011110001001100001010101010110110000011101001001100011001100000000100101001100000111101010101110100011110110010010101010100010111101010110010111111011010010111111101011001011001000110000010111010010000 1100000000010011010000000101101100100100100000101010000011110100110011111101010111110110001111110011001101000001100001101010100001110001110000000110000001010010111100011001111000100001011110000011101010110011100011110101100001001000010100111111010010110110111000110100111010001100011011101011110100010001001001101011001110000100101101001011111111001110001110111101100001001110101001011101000110000000 0100001101100100110110001110101000101001100100110000011001001011100110011011111110110011100110001100011001010010100010010011100000101000111100001101001110011101111101001110010010000001100100100001100100011000001010111111011111100001111000001010011010011010010101000000010001010000110100110111000101110101000100111100100101001001000111011001101011000100110101110010101100010101011000011000010001011100 0100111101011100000001111110010110001001110110101010001001000100001111011010000101011000110011000001011001110101000100100100101011001000000000011100011111001111000111110001101111101001001011001101101000000111000100110110000110110110110001100110010100000011110011001000010111010010001001011001111110010010000001010000100101101110111001000001000101011000100101010001101010111010100010110111001101100101 0010000101000011001011101111010101001110111001100110000101110110011100101101000010100010110001101010101011111011000110111011001010101000000100101100110101000100101101001100110110010101101110101000111000001010110100111101001001001000100001101010000100111010010011110010100010110110011110001000001001000111111100001000001110010111000110100010100010001111110000110011101111001001101010000000110011110110 0010110011100010011010111010110101110001101010111010000110011011110110000111111111100111100000010110110010100011100101110000110001110110111001101000111111101110001110100010011100111111011010111010000101001010000010111000110100100101010011001100000011001111010100011001111010110000111010110001010111110101011110111011011100100011001001001100010111111010010101000011000100011010001000001110001101111101 1100010011101100010001011110010100111000000111000000110101010110101001001001100111101001010010111101011100101000111110110001010011010100001111100110010001000110001011101010011000010110011000011110111100010110010001111101000001000010001001111010001101110111011011100000000110001010101111111100110000011011000001011110111100110001110111011011001111111110110100010000100110010100111010111101001001110100 1110100010011000111001011100010100001100011000110010100000100111011100000000010111101001010111010110100011001001101001110110100010010010101111110010110001000000101011110110000011011101001111101010110111001100011001100111101011001110110010101001011000010011101111000010100101000111000000110000101010101110001011010111101101001100011011110101110000111101100111001111001110100100100010110111111101101001 0001000101100001010011110011101000101010001110101100001000010110011111110110000011010000010011010111001001100010110111000011001011100101100111111100011000110110010001000100101000111110011101110011011101101001111110010011111010110010011000010011110110111100011101001001110000011010100001111001111001001100000001110011001001111010011110001011110100100111001011000110100101110000110100010111110111011010 1101010000101010010000010000101110011000110100000111000000001110101101010011110100111001011111011010110010010000100000111000010000111001011000100101000010111101100011010001000110000101001010111101011011100101001100011000000101100100001110010000101011011111111001110111011000110010111100110101001101110110100101010101111000110101010110000010101001100101000010100110110001101011010010001101001001100000 0000101110110111011100011010000100100100100110111010110110100101111100100101010011011111011111010011110110101110011101011000110000110011101100011100111011010000101010101001011111111010110001011010010111100100101100000110000001111101001100110101101000001011110000001010010110010001100100000111101000010011001111001111111100100001101010111000000100011010010111111001010110000110001111001010000001001110 0001110001011010001110111100010110001111111101100000000001111101100110011000001111111110111000110010010111111111100111100011101101100001011001101011110100001001010001110110010101010110011011101001000000011000101111101010111000110111100111010001110011001110010000010111001111100011000000001000000011100110100010001010100011100010100000010111000101001011101000101000010010000010010000011001101001111101 1011111101100000100111010011011100111101101011011011001000100111010010011101000001010100011010011111010101001001101000000000111000001110111111001100101001011011001111000010010101110101101000000000001111001000110001111000001010111000100101001011010011001010010001000100011101100010111001010100000111010010000010010110111010110100101101110100100000111001011001000001110111111100011101111010000110111101 0111111110111111011111000010101011010000100010111101000001101000111001111001000010010011011101110000110010011100100110110000111010011110010111000000111010011111110110111001100100110110111011101110010010111000101010111111011001100110000111101000000011110111011000101100110001100011001000100010000101001010101100110111110101101000100110111110000010111000001010010001101100000001100111010111100110100111 1011011010100010001111100101100110111011000111000011101100111000100100001110111001011001001100111101011111100001010111010110101011101001001011110110101011100100000110011000101110111001000110111010011011000101001111010000010001001100001011100110100010010010010111110101111011010110000110101001010110001100001010001001101001111100011001111000010000011101010100110100111110100011000010011011001011011101 0110011010010100100101111111110001101111000111011011011110000101111110010011011001000000001011101001100010000100100100110110010100101110001101101000100001101100111111000011111100110000011010011010001001110000001111100010010110001110010011111111110101001000000100100100001111011100111111110100001100011100111100111010000110100101001000110100000011110101110111001101010111000111101111001011111110111110 1011010110110100100110110100101111000010010000111111100000110101110111001001110110010000101000110100010101110000101010011110101111110011000100110111100001010001100011110111000000111010100101000101011000111101011101001011001001101011010100000110000100100110000111010000010001111110001101011111111100100101011100010001001110011000011010000111100111100111001000011110101111110001101000001001010110010000 0111111000101001101001100110000110110100100000110101010110111011110110000011011011110110011110101110010001010101001111001111000010010100100000000000000101011001001100111001000011101101001011101011001110111000001000100000111101001011011010100000100010100001110111111110010111100101100110101100100100010011010100011000111101001110100011100011010011111000100001001010011111001010011000110110110011000110 0001101111000010111001111010011110000001110000101001000111001000111000011101000110011010101001101001001010101001100011110101111010100101001101101011000001101101100011101100101010110011000110001100001000101101111010101100110011011011101100001001000000001011111101100010100111111010011010100100001000111111000010000100010010010010011001010111001111111111011001111011100100001011000001011100111001000010 1100100001111011101110110010101000100110000101110100010100011000111111101110110110000111000010110110101101001000011100100110100101111101001101010010011011001100111100001010111100111101100011001101101110010010101010100000110010001001000100100101110101010011000000010110011000100010011010111010100100111110111011101000101000110101001111010010110000000110010010101100001010101101000001010011011111101011 0100010100000101111000101010111111110111000011111101100110101001010111001100111000011011001110110110001111110110000100010111010100010000010100011100100111010010101111001011010110111011000001011000110101110011110011100110011010011111110011001001011001000011101010000000100110100010011000110000101100011100000001111110010011100101000110011110100110101111010100101011010010000101110101111001000101000001 1100000100110000110101101001110111010101010001010000010101110111001000100000110101111001111000010000100110110001001101100011001100010100110110010011110110111110101011010011001011001110101011011001100100100000111101010100101101000000000001000110101110011000110010101011011000001111011001101110000101001011100001011000000011100010010111010101110111010001100001111011100011101111000100001111110110010101 0100101011000110110010100101111111011001111111111111111100001101000100110100101111001000100011111101110000010000001100000101011100110001000011101101110000001111001011010101100000100001100100111111011100101001110100100010000010011100011111011100011100010000000011100001111111001001001111100100111010011111010010011011100011010101101111001001010111011101000101011111110100010100010100110001000100001011 1100100001011001001000001100010001101011110010101011000101001001001010100111101011110101101111011101001000100010001010100000111110010000011101100011101001101101001001100001001111100101111110011011011011111110101011100010110101010111010100110001001000100011100011101100100111100110111011011001110000000100100011010001110011101001001111100010100111101010100100110111111100001110011100000001110111000010 0011101011101010010101110111100111110011100111001001111000001001101000010110101100101111000111010000010111111100000101010111001011101110101000110100110100000101101101100000111101011111001011110011000001111000010011111001100010100010101001001110111100010100110111011011111101010011111110001111110000101110011101111101001100001000110001011000000001001010101000011100111110101000010101101111010011001111 1110001101011110001001011000100001001101011010011000101011110111111101101101011100010010101101100000000000101111000101011011010101110101111011110101111100010100000101001101001011010101110001110001000011010000000100100010110000001000001100111000011001000111111100011011010010000101010111111010111001000100010100010111111100111011100010101010101010101101100100010110001111011010011110010010101101110001 0110001101010010001111010001000001111001110100001100011101000100101000110010001010011101011111110111100011000101011101110010000001110101111011110100000010010100101110001101010101111100110000101000101100010100001110011001101010110011000101000000001101111111001100101011001000100000010101000101010000010001101111100100101010010010010101111111100000101101101110110001001111000001100110100010001001010110 0111100111000010011011101100010001011001010111101111101000011010110000001110011010110001011110010110100011010001010001110010111111111110100111110011001000011100010110111000011110100101011111110111010110110011101110000110001110011111110100101111000100010000000100011110010111100001001001010101100100111000010010001011001011100111101011001111010000001010111010010000011100110100100011000011001101100000 0100011010001001101000111100110111100101101000010011010100001111010101101101011111111100101000101111110101110001110101110100101011000010101101100110001011000000000011010110000111111010101000111111111100110110000111111010000100101110000111111010010000011011010010110111101001010100101111011100101101101011000001010001111101010010011101001011101101000111111111000001010101010011011010010110101000101100 0101100110010001111001001100011011100001100101011001000001001000100100110100011000000011001001101101101110001000110100000111011111111011111000100000101110001000100000110010111000000010001101111010111110111111001000011101011110101000111101011101110010100001001111001011100011111100100111111010001011010000110110001101100011110110110101101010011011001010101011101101000001110101110001100001110010010011 1001010011101101001010100010011010100110101100111011000010111011001011111010000100010000111000000100011100110110110001111101100001110101111101100011001100110011110110110001000111111101101110001111001011110000101001110011101111100000000011001101000011100100111111110010100101111111000001001100111001100010110101000000101010101100001100010110110101101010101111010000000011100001001110001010111001011100 0010011100100011011000011101111011100001001011111100001101000011110011110011101000101100101100111000101111101001010011011010101001001011110111111000110101110001100101001010011101010010001010101110110110111000101010100111000101101000100111011110000110011111110101001000101100101010110010001111001100100101111010001010101110000010110000110111010010111111100010111101010000010110111011111001100110011100 0000010011011010000010100011000000011010111111100001010010101000010000001000010101111111110000111000000010011111100000111001010111100010101110111001101110101000010011001010111111001100110000101000101001100011011100011111011100111000000110101111111011110101101010001010110011000111001110110111110100100101011110110110010010111110001110110000100000101101111111111010101100000101100111011101101001000111
cTrader Algo

はじめてのcBot その2

11/8/2020 1/8/2021

4年以上前の記事です。内容が古くなっている可能性があります。

プログラミング開始

前回はcBotを新規作成し、ログに出力させるプログラムをためしに動かしてみました。今回はこのcBotに実際の売買ロジックを組み込んでいきたいと思います。

売買ロジックを決める

プログラミングに入る前に、まずはどんなトレードするcBotを作るか決めておきましょう。王道のゴールデンクロスとデッドクロスで売り買いしましょうか。

短期移動平均線が長期移動平均線を上抜いたら次のローソク足の始まり値で買い、下抜いたら始まり値で売りとします。ストップロスとテイクプロフィットは固定値とします。

外部から設定すべきパラメータは下記5つにしておきます。

①短期移動平均線の期間

②長期移動平均線の期間

③エントリーボリューム(通貨量)

④ストップロスピップス

⑤テイクプロフィットピップス

テンプレートを見てみる

ストラテジーが決まったらさっそくプログラムに入ります。今回はまず最初に自動で作成されたコード全体を眺めてみましょう。

using System;
using System.Linq;
using cAlgo.API;
using cAlgo.API.Indicators;
using cAlgo.API.Internals;
using cAlgo.Indicators;

namespace cAlgo.Robots
{
    [Robot(TimeZone = TimeZones.UTC, AccessRights = AccessRights.None)]
    public class HellocBot : Robot
    {
        [Parameter(DefaultValue = 0.0)]
        public double Parameter { get; set; }

        protected override void OnStart()
        {
            // Put your initialization logic here
        }

        protected override void OnTick()
        {
            // Put your core logic here
        }

        protected override void OnStop()
        {
            // Put your deinitialization logic here
        }
    }
}

まず1~6行目までは使うパッケージを書いてあります。最初はいろんな機能使うためのおまじないだとでも思っといてください。

8行目のnamespaceはこの場所に名前を付けてるだけです。気にしなくて大丈夫。

重要なのは10行目から。10行目はHellocBotクラス(cBot本体となるクラス)にRobot属性を設定しています。今回はいじる必要ありません。

13,14行目はcBotの外部パラメータ部分。デフォルトで一つ意味のないパラメータが作られてますので、ここを上記5つのパラメータに変更します。

あとはメソッドOnStart()、OnTick()、OnStop()が自動で作られてます。コメントのとおり初期化時、Tick受信時、停止時に必要な処理があれば、ここに書き込むだけ。

なお、今回のロジックはTick受信時ではなくてローソク足更新時に動くため、先にOnTick()はOnBar()に書き換えておいてください。

protected override void OnBar()// ←もともとあったOnTickのTickを消してBarにした

 

パラメータを用意する

さっそくパラメータ部分をいじってみましょう。

[Parameter(DefaultValue = 0.0)]
public double Parameter { get; set; }

この部分ですね。Parameter属性を使用して外部パラメータとして設定しているのですが、今は深く考えなくてもいいです。

とりあえずコピペで増やして型と名前を変えてあげましょう。

// 短期移動平均線の期間
[Parameter(DefaultValue = 25)]
public int ShortPeriod { get; set; }

// 長期移動平均線の期間
[Parameter(DefaultValue = 75)]
public int LongPeriod { get; set; }

// エントリーボリューム
[Parameter(DefaultValue = 10000)]
public double Volume { get; set; }

// ストップロスピップス
[Parameter(DefaultValue = 10.0)]
public double StopLossPips { get; set; }

// テイクプロフィットピップス
[Parameter(DefaultValue = 30.0)]
public double TakeProfitPips { get; set; }

移動平均期間は整数なのでint。他は小数なのでdoubleです。DefaultValue = の部分にはパラメータのデフォルト値を設定します。適当で構いませんが、ここでは25、75、10000、10、30としました。

これでパラメータが用意できました。これを利用してプログラムを組んでいきます。

 

使うデータを準備する

まずは、使用する2本の移動平均線を持っておくための変数を用意します。

class ~{ }内でメソッドの宣言でもない場所に、変数の宣言をすると、それはそのクラスのメンバの変数となります。

先ほど作ったパラメータの行とOnStart()の間に2行書き加えてください。

//2本の移動平均線を持っておくためのメンバを用意
private SimpleMovingAverage _shortMa;
private SimpleMovingAverage _longMa;

Robotのメンバとなる変数を用意しました。なおC#ではクラスのメンバとなる変数のことをフィールドと呼びます。

privateな(クラス内からしかアクセスできない)、SimpleMovingAverage型の_shortMaという名前の変数を使う、と宣言してます。

SimpleMovingAverage型というのはcAlgoが最初から用意しといてくれてる単純移動平均線オブジェクトを扱うインターフェースです。

OnStart()内で変数の中身を用意(初期化)します。(前回のthis.Print(“Hello World!”);の行は消して構いません。)

_shortMa = Indicators.SimpleMovingAverage(Bars.ClosePrices, ShortPeriod);
_longMa = Indicators.SimpleMovingAverage(Bars.ClosePrices, LongPeriod);

Indicatorsというのは組み込みインジケータへアクセスするためのオブジェクトで、Robot(=自分自身)がもつプロパティの一つです。自分自身を表すthis.は省略してます。

ここでは終値基準で指定した期間の移動平均線オブジェクトを提供してくれる機能を呼び出した、と思ってください。ShortPeriodとLongPeriodは先ほど用意した外部パラメータです。

データの準備はこれで完了です。

 

売買ロジック部分を作る

肝となる売買ロジックを作ります。今回は「ローソク足更新時」のみ動作させるため、先ほど書き換えてもらったOnBar()内にコードを書きます。

移動平均線のクロスを判定するためのデータをまず用意しておきましょう。必要なのは直前と2つ前の各移動平均線の値です。

double lastShortMa = _shortMa.Result.Last(1);
double preShortMa = _shortMa.Result.Last(2);
double lastLongMa = _longMa.Result.Last(1);
double preLongMa = _longMa.Result.Last(2);

SimpleMovingAverage型のオブジェクトのそれぞれの値にアクセスするには.Resultプロパティを使います。Resultは移動平均線の数値が過去から現在へと並んだDataSeries型なので、そこからLastメソッドで最後から1つめと2つめを取り出してます。

if文でクロスの条件式を書いていきます。

if (preShortMa < preLongMa && lastShortMa >= lastLongMa) {
    // ゴールデンクロス時の処理
} else if (preShortMa > preLongMa && lastShortMa <= lastLongMa) {
    // デッドクロス時の処理
}

if文は()内の条件を満たしたらそのあとの{}内の処理をする、という命令です。最初の条件を満たさなかったら次のelse ifの条件判定に移ります。 &&は「かつ」という条件を表すときに使う演算子です。

一つ目の条件式を訳すなら「2つ前の短期MAの値が2つ前の長期MAの値より小さく『かつ』1つ前の短期MAの値が1つ前の長期MAより同じか大きい場合」=ゴールデンクロスした場合ということです。

後は発注処理書いたら出来上がりです。Robotの持つ発注メソッドExecuteMarketOrderを使います。this.は省略してます。

if (preShortMa < preLongMa && lastShortMa >= lastLongMa) {
    // ゴールデンクロス時の処理→買い注文
    ExecuteMarketOrder(TradeType.Buy, SymbolName, Volume, "Sample", StopLossPips, TakeProfitPips);
} else if (preShortMa > preLongMa && lastShortMa <= lastLongMa) {
    // デッドクロス時の処理→売り注文
    ExecuteMarketOrder(TradeType.Sell, SymbolName, Volume, "Sample", StopLossPips, TakeProfitPips);
}

完成です!Shift+Ctrl+Bを押してビルドしてください。(組み込み環境の場合はCtrl+B)。

もしエラーが出たらエラー一覧を見ながら直します。VSの場合は赤波線の場所がエラー部分ですので、タイプミスなどないか確認してみて下さい。

 

コード全体

using System;
using System.Linq;
using cAlgo.API;
using cAlgo.API.Indicators;
using cAlgo.API.Internals;
using cAlgo.Indicators;

namespace cAlgo.Robots
{
    [Robot(TimeZone = TimeZones.UTC, AccessRights = AccessRights.None)]
    public class HellocBot : Robot {
        // 短期移動平均線の期間
        [Parameter(DefaultValue = 25)]
        public int ShortPeriod { get; set; }

        // 長期移動平均線の期間
        [Parameter(DefaultValue = 75)]
        public int LongPeriod { get; set; }

        // エントリーボリューム
        [Parameter(DefaultValue = 10000)]
        public double Volume { get; set; }

        // ストップロスピップス
        [Parameter(DefaultValue = 10.0)]
        public double StopLossPips { get; set; }

        // テイクプロフィットピップス
        [Parameter(DefaultValue = 30.0)]
        public double TakeProfitPips { get; set; }

        //2本の移動平均線を持っておくためのメンバを用意
        private SimpleMovingAverage _shortMa;
        private SimpleMovingAverage _longMa;

        protected override void OnStart() {
            _shortMa = Indicators.SimpleMovingAverage(Bars.ClosePrices, ShortPeriod);
            _longMa = Indicators.SimpleMovingAverage(Bars.ClosePrices, LongPeriod);

        }

        protected override void OnBar()// ←OnTickのTickを消してBarにした
        {
            double lastShortMa = _shortMa.Result.Last(1);
            double preShortMa = _shortMa.Result.Last(2);
            double lastLongMa = _longMa.Result.Last(1);
            double preLongMa = _longMa.Result.Last(2);

            if (preShortMa < preLongMa && lastShortMa >= lastLongMa) {
                // ゴールデンクロス時の処理→買い注文
                ExecuteMarketOrder(TradeType.Buy, SymbolName, Volume, "Sample", StopLossPips, TakeProfitPips);
            } else if (preShortMa > preLongMa && lastShortMa <= lastLongMa) {
                // デッドクロス時の処理→売り注文
                ExecuteMarketOrder(TradeType.Sell, SymbolName, Volume, "Sample", StopLossPips, TakeProfitPips);
            }
        }
        
        protected override void OnStop()
        {
            // Put your deinitialization logic here
        }
    }
}

 

 

次回はバックテストでちゃんと動くか確かめたいと思います。


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

© 2025 ajinori