1011001001000001100010100011101001100101100010110011011111000111001011010001011111000011000000100011101101010001111110000111110110100110101101000000100110011000011101101111110111001110001011101001010100001101011000010011011110001010110110010010110011111101111111110110101010101001110010011111011101011111011110100100010101110101010001001001000101100111000101111000100100000100000100011110011101100100 0010100010110011001010101110010001010000011110000110001011110110111011011111011001000110001111111110110111111001111100011001110011100011010001011101010000111101000110011001111001000011111010101010000000111011111000110100010011100101100110010101100011000111011110010110101101110111011010100000000110011011110111100110111010010001011101110111001100001110011110000011000001100110101111000000100100001110 0100010101110101011110101100010101101111010011101100111100001000010001010111110111000000011111101000001001110111111100000110000000110010010111001010101110001101101100001001110000000100110011011001010101110101010001100110100100111001101101111010011111100010111111011100010100010110011100011011101111111011001100011110110110101101011010110100011100101101000101010010111100111001010010000010100110000111 1010100001010110100001011001111010011010010000101000010001011101100101100111011011100001110111111110001110110000000001111000000101111110001111101000111111101011101010101001011100010000011101011000001001110011101001000110111100101111101111110111000010101101100100001010010101001101010001101100111111011100000111100110010111110110110011100001110111100110110110011010111010011011111100111101010111010010 0011010011011010111100101100011000100010111100001001010100101101010001101000000010100000100110000110110000111101010101110001000111110001110111100110001111100010100000100101010100110000100011111100111011110111010000110111001101111000110111001111101000101111110101101100000010000101011100100111010011010111010100001101010100110100000101101001010011111111010010100111100000111000010000011001011110111010 0000111011010011100000110110111001100100100011001001101101001101010011110101010010111000010011001101010111001011010010101111010101001110100011110101100011010011001100001001011111111101111101011101100101000111101111100001000001010101100101101000011000010000100110010011001000111011000110000011010100010111011111011000011010111111110110110111011010000110100001010110111110111011010100100011100000101110 1011101001101100001111011111100011101101101111001100101010001011110001100101011101011001010001110110111000111101101101011001111011101111100000111110010000110101110001010011111101110000110011010010001100000001000111000000100110100010110000001110101010101100000010110000110001000111110010000111110110001100010011100100000110110111101101101010000101100111001111111001110100100110010010100110111000010111 0010001100001010101100101010101110011000011011001010001100010000000111010110011000001010111011011010000101010011011000100110110001001000100011000110010001101111111101001000110101111010110101101101101000001111101111100110011000111111001000100111000110100111010000100011001010110101101110001101000111101111111111111111000100001111100111111101100100101000001010101111001110111111000001111010011000111101 0001110010001001011011010101100111111100101010011010001111000110010101100000100100010001010000111011110111101001001111101110001110111100001111110110011001011101000001100101001000011111001100111010101110010101111010011011000011011101010011010110010100101111011001001111101100101011011101100100001001101011001111011001001010010111101000001100111001010001100001010000001010000100011100111111001101100110 1001101010000000101000101000011000110111001000000101010010101000010101010001100110101000101110001010111101101110000111100111100011101010011110101011111100001110110011000000010111111001100110100110011001011001010000000000110100110110101110111100111110111111111110011000010000001101001100001100010010111100101001011000111100000010001010010110111010000011110000110100111110001100000101011101001100010000 0010010101001110010011111100010001111110111011101000111010100000010000010000010110000000010111100001100111111000011000000111101100000100000111011110101111000001111001110001010101000010000011110101100011000111110110100100110000110110111101100000011111010010111000111010111001110000101011100010000100011101101000100010001011000001001110001011101110100001111001111100000001000000010100101010000001111100 1011001100101001011100010000101110001101100000110011000001111111000010111000100001110001111011101001100011011001101101011010110101111000000110011100001011000000100101111000001011001000111101010010110111111110110101111000101101100110100011110111111111001110000100011011000111010111111001011000111010001100111011111010001101111010001001111100001101110111100010010010000011010000010010111000011011110011 0010111010011111100011110001000100010011001000000111111101111110000101001000010000101100001011110101101011100110100010010101010011000110111101011000110111101110100001010000100011010100100111111011111100010101011000000010110100000100001111001100000110001101001111101111100010111101100100011100111111010100100010111000010100011101011101111011000010111010011000001001101110101111011011010000101010011010 1100010010101001000101101101011100001000001011110000111110110100001011101100001000101001000101100101100001001111111011001100010001011110000010000001111101101011011100001100010000100100001100111000010011101100011000101001001011100010010011101010100001001000111000111111101100111000011000011111000110001100010001111001010111111101100101001011011110011011101011000001001010010111010010010111000111100011 0100101111110110011110000001111011011000101001100111101011100010110100010111010101101101000110101111010011000010100000010111110101100100101111111011001101000100101000000101110010000011001000111110011110010010001010011100101001111000011101111010101111111000011111001100000101100010101110111100101011001011000011110100001101110100011110000100101111101001110011001000100100101001110010001011011101100101 1011101010100001110111010010010111101011010111110000011010010100101001101011000111110101100011111001000110000000000000000011001001001100010101000001101010110111100101011100100011110000111010000000010010011100010010000001101001110011011110111100100010001101101000111011100001100001011001010111111110100100110100100010100011100111001101110100001111100001100101001011100010100011011011101101100011111100 0011001110100010100110111001100100111010001000100001100001110010000110111110101011111101111100010011011111111100100010011001011111101111100110100010000100001110110010001110001100101111100111110011100000100101101010010101111111010011011111001111010101000001101010110100101100001111000000110100000010000010010101111001100100111001110010100111100001000010001111100110110010011110101000100100001111011001 1110000101110100011011000011111111100001110011001110101101100100010101001100110111010101101101000101101001010011101100110111111110000101100100011010111011111100011010100011010001110110100001010000101110000110001110100001010001001000001110010110001001110001000111001000111111111100010010101010000100110111110100111001101010110011100100001111101110011001000001100100001000011111010010001000010001101111 0111100011110010000010111011001101110101011000110101111101110001000111110011011111001011111110111011111101111000101011000101011000100001010111000110001010010000110001011101011111001100000011011110001111100101101000010101010110010110101101111111101011100001011100101011110001010110001110101000100010101101011101011100100011101001111100000100110111000100010001100001010001101111101110111000010001111001 0100010001011011110101011110010111101101011010101101111010000110010000010101011110110000100010111110001000111100101000010100111000111011110110011001010110001101111100110001000001111011111110100100110001000100101010111001101011000111111000001100111101011010111101100110010100110010011001001001001100100010111100011011110101010010101110110110000110100111000100010100011011000000001000010111011110111100 0110110101110101111100101110011010111011001000100101110111110000101011000001101101010110110101011000110101110111100011111110010100101000101011100111100001010110011101001110100110000111011011011101101000101011011000111101101101000001001000000011101111110110110000001011010000000010010101000101001001010110001111001010011000010110110000111110011111001010101001100000101011101110111010011000001000010000 1011110111111110000010111011001011111010011001110111101001100111010000110000010110000100001110101010001011001001010100101110100010000010000111001011111100001101011110010111010000011110010011110001010001011011010110001111110101100010000101101011110000110100000011111110110010000101000101101101111010111111001000110110010100010010111000011001001010011100011000011010110110011111011001010000110111011000 1110010110101000110110010100011110110011100101100000001111010010000100000001101000110010110010000000000111010110110011010111011011111111011001110010011011101010101000110001111110100000100001100010100000101110011111000101001100010111101100011110101101010110110101101000010010101000001110111110111101011111011000010111101001000011011011010101100101010000011001010001100000011111100111110011011000111111 0110010110011001011110110011111000100010001001010011110010001000011110000110000001011111111111101110111011110110000000101110100010000100101011010001011011010011011101011000111100000000110001000001000000000100101100101111100001101101110101011101011100001000101100000010011011010011110000101110011101010100011000001100110010010010110100010111100111010001110011101011010011000001111000110000010111111010 1001011101110001001011110101011111000011111101000111110000101010110000110111111111001001100100010011000101111101100000010011100001100010100001010000110101111010101101000001111011000101111010100000010001010111010001100010111110000101001111001100011110010001010101101000011111100111101111010100010011100110010000110011111000000100100111101110110101000111101110101001110110110101111111011100000100010010 0110001110101110100110011110000111101001100010010011011110100011101101000100010110100010100101011011111011010110100100110010101101111111111111011011000100000001001010101000001000111010000010011010011111100011110111000000001101100001100101001010101111001110110011000000111111100000100001110010110001110111011111101001010111101100111000010011100111011111111001010111001101010111110110000101000000000111 0001011101000111010110111101111011001011110111101001111001110100111110101111010001000100110101100101111111111011001111010011100110011011100111001101101101101110000101101100001100111100111010010000011001110011011010111001111000110111001101000100000010100111000100011100010010101100111100010101111000010101111010111010010100111101001110100110001000100010100001000001101100101010100100100100011111000011 1010001000110000101011000100011100000101010100010010001011111101000100110111101010101101100101110001111011010000001101111111001000001010101100101100001001000110111010111101011000100100100010110111001101010111110011001110110111010000100001000001010001010010111000000011001001100101101100101101011011011011011111110100000110011100000100100110101110111100111010010110100011100110001110101100001011011011 0111110000001110011101000011001011001101010001101000011011111000101111010101100011011011110110011101111010101001000011101001011110111001111101011111001111100001100110101111001011101101101001010000001000101000101011001111001001110100110010001001001010110110011010110101001001100101111101000101000110111010101111011000011011110000101000110001100010011110001111000110101011010101101000001010110110010110 1001010001111000011001101000001001000110100000100111101100110110100111010010100011000110110110010010101011101010110111001110001100001111001001100110100000111101001101010011110101011010011001110111110011011011111000000010000000110101001110001101111100101010000011001100011101010011001000101110111001010100111101011000111010000111110110100000000111010111100100100011110001110010010111111011001101001011 1110101100100010001000101101000011101100101000010101000001111111000110011101010000111101001001100010010011011000011001100010110100010000110001111000011111000101001001010011101101110000111101000111011100101101100011100000001010100100100000101101101111101011011001100010011000100111111101111110101100101010110000110111110010110010001101001001001011110010111010100101010001100010000001101111101111110010 0000110110001101101010101110100110011111010110011000111110000110111100101110000010111000001111111101110011001011111111001110110000011100011111010111110000101010010111100000101000100000010001100011000000111111011001001010101011011001001100110010001000111101110000001101101111110000011000111111011011111011001111001111000110111110001110011011011000111100101000001000000001001111110010110001000101110011 0111111110111001110101011011010111010011111101111100011010011011010101010001011001101101111111011011100110001100111101001111001010101000100001100011000101101001111010100011011110010101000111101111000110110110101011011010001110100011010000010011011000101100111100001011000110100000111000100110001011010110110100110000001100001010111111001001101000001010010101110001111101000000010110110001001101101110 0000011011111000011110101101010110100110101011010100110001110110111001011000111011110111110000010001100010010010010010010101101010010001001111111010001010100011011001100100111000010111000101111101001000111101011100001000001001001000110111010111011000100010101111010010110010110000111100000001010111101001100011111010011101100110010011000111101110111101110110011100010011100011000011001010010010001110 1001001111000011110111101011000101110111000011000111111001011101000000010011010111111011010111011011101000011011111111011101001110001001001111111111100100010111011101111001000110100001110101111111010111001110110001101011101011001110000000010001111111000011101100111001100011011010010000010001000001100000011011010110000111110010110110001010000011011010010111001110101011100011100110101100011001001010 1100010011010101001001101100100001110011010011010101100110101110110110110010011100000000101001101010001110110110011000100101111110000110001111011000101010000111000100011011001111011010001010111111011111000000111000110111111001110111110001111100101000101111101111101011111111100100001010101001101000100101110100000011101001010011000001100111000101110000000101101111111110100011100101000010001000000110 1110110000001000000001000111000001111111111111001111111011001000010111001111000000000000001001101111101111010101011101000001010101100010100101001000111100110110010010001111010011010111110111010000111010101000001010011011111011011100110000001111100110100111100110011101100000100011111100100010111110010111101100010010001000011110101011100010101111011000111101000110101000000111010011101011100000100000 1101111111000010010100110001011010001011010010011010000010001001100100001110101001100010110100001001010111110000010011000101001100000110101000101001111101101111010100110110011000000011010010100100010111100000110101010110000111010110011000110111000101011011001000101111101100000101010000010010100111111101110111100111000001110010001110000110000111110101111100011010100001110111110010011001100110101010 1111000001010100101100111111011110110001000101011100010010101111100001110010001010010011011111010100011001010100110111110111000001010000101011010110100011100110100011101000111010010111010111000100000010111001000000110001100101100000111001100101101000000000011101000101100011011100011100011111101010010110100110110110111010001100110010000010000101101010001010000101000011110111110000111111110011010101 0110111011001111010011011110100001011001101011100011101101010000100010100111101010001110100010110100110000000010110110110111001010100110100000001110001000100000000001000000001001100011010101100000111111010010001010110110001100111101101000111010001000110100110100000110101010111111110001100010010001001111111010000001101000010011000100101000100100011111110000000100001111100101100011110110000001111110 1101011000100010010100110000000110111001111110111111001100101011100110011010001100011011000000010110111000100010101001001100010011011100010000100100100110111000011011111101000111111101001000000000000010000010000110010001100010011100001011101000000010100110011001100001000000001110100011100000111100010111010001001011110010010011000110001110001000111101011111011111011111010010001000101011100000010001 1011001101001011010001101001001100111100101010110101111100110010001101110100111100110101010100010010110001000011010011011001001011101100000000011010110010100111010011011101001000001110000010001100111010000010001011011001100001010011101100101000111011111000100001000010111001101001110000100011100000110110101111000110101011110111100100101010000101000101011111101100111101010010011011001101100100010101 1010010110111101010010111011001111100101110010100100110000111011101111000001010110100011010011111001000100011110101101111100010101000111001110111000110010010011000010110011111010011110011001101000110000010110001101100101001101001110011110011011101111001000001010100000011011010110100111011110010110010111010001010000111100011000011100100111111011000101110110010011110100100011111011000000101100011111 0110111110100001001001001111101111000111011010100011101001011101010010010010000101101001110100100011111111001111110011010001000110100111010100011100011001101010001111001100111111010011110111010000100010001001101001010110111111100110101011111011110111011101100100110001100010110011010001011000100100010010000010110100010010111001010111011111100010110101100110110001101100011101101101010010011110101011 0101011010111111110011100110101101101111111100011110111010000100000100011001101110101110010011010010111011000100110000101100001110011100001000001010001001101011111100100001010011001111011101111111110010000110000011001010110011001011011010100101100110001001000000010111111011000000100010010000000000001001110111100011101010010010111101011100111000110100110100110011100100000011111110110010101000101010 0010000101001101011011111101101101000110111101111100100111101010010101011101111010110001001110010111010101101001111111110010101000010011001000001111110101100011000110000101101001000100001001011100100110010000011010010001101110011111111110101110001010000000101011110111101100000010010110100100101110000001101100010011000111011010000110000011110000110110110111110010010001000110010101001010111100010010 1110100010100111010100101000010110011001000111111010101110000010011111101111001100100010101110001011000001101101011100111010011010110010001000011010101110011110101111001001001111100001111110011011000111001111101010011000011011100010100111100010011010100110101110011100000011001010101110111011001101010010110000001011110001110100011101100101001100111110100000010110100001111101100111000000110001100100 1110010101100000011110001011011000101100100000111101010010111010101010110111101101100111100001110011111110110001101011111000111111110011001010011100000010100001001100011110101011111110111111111001111011100001001100011000000110110011001010010011010001110010110110100111011100110000001011001010001010000011111010001011000001011110111100110001010110110110100111100001001000001110011001011110010010001101 0101000111010101101001110001111110010011001000010000000100100001011111111101001111111101111001100111010101111000111100000101001101010111000000011000111011100001101110000100000010110111101010100011101001010111100001010011111011101111100101001110101011101110001101100010100101101000010011010010100100011100001010001000010011010011001111111101110010001111111110100100101110010000010110000000010010100000 0111110000010100110111001111010011100100001011010011100100111011010111001010000110001100000011111011010011000001001010000111000111000011110000000110111110010101011001101011111111111000100001011100101111110011111101000111100101101001010011011101110011010001011000111101110100010101011111000010101111001000100100111110000101111000100111110010000111001000111000001101110011101010011101111101100000110101 1001101110101100110111111111011100111100011001110100010001011100110001110100011011110110110101101100100001100011010100001101111111111101010000001010010110100000011011000110100100000001010100000110110111001110101101111101001011001100001100011110001101100111111000110010000000000101101101000111111101000101001001101001111000100000010010110110011110010101111010110001000001100011010000010111110101110110 1001011010001010111111100010101010011000101111101111111100011110101010001101100111001110101001110100111011011110010011011100010000010001100001010111111001101100110000001111001000000101111101101011010101010111011000001100000011110110011100010111101000001010011101001000101011011111001101111001100001111010100011110000111100001111011001101001011111101100010001001111110001011110010101000000100010001111 0101001011111011111111010010110001101000111010101111001011010110110011000100000011101101010111101001001101101011010001001011111011001010101011100111010011111010010111010110000010000001111110000111010111100001001010111001001001001101011001001010110100110111110011000111001011001100000110100001010111001101111110001000011100111101001110101010010101001000000101100110100101100001111110011011001011111100 0111010111100101011001111010011111111110000110110110101000000001011101011011000011100000011111100001100000101100000100101010011110101111100000100100111111001100011011000011011101010011010010010110110110101000111000000101000110001011110111000001000101111010101000110000101000110000011010010011011111111111011011111100110111101100000101111011101110110110110100100111011001101100101101110101110011101000 1101111011010101101011110100001000010110110010110110111001011100111101100001000110001001011011111101111101110110101000011010000100000010100110010000110001001011001111101011101101001111101000011000001010011111101011110110101101110001001000100111000000000100000100011001111101101001011110110011010011100101101001001000100001100000011001100000101111011000001010101101010000101111001101001111100110100100 0110011011011001101000010010100000010101110001011110001101010010011110010010000000011110011111101000000101101110101110110110100111111001001100100101010010111110010001111011001011110110111011110011111000001000011000011001110001111110011111011101000000001011101100001010111001010111011111101000011011011011100000010000100111111000101100011111010000000111011011111100011010010101111110010110000100001111 0010100110111101001111100111111101110110001001011111111110110100110101010001011001100100100000111010110010111000010001111000100000011101101000000110001001100101011000010011110010001010101110111100001100101011101101010110100111101100011101011101010010001100100111110111010110110100011001011110000010110011111101010111001111110100110001010001111101110010100011110011010100000000001000100110011011101010 0100101111101111001001100010111000101100101110010001110010000000001101001001110101011001101110110101100011011110011111000000000011001111110110100111000001111010011000110100011011100010101001100010101101010111110110110011101001111000001011101010010110110010011111101001011111110111011001101010110100101011010001000011100101001010101000110100011100110011011010000101001001110110111101101010000100100001 1001001101111010100010001111001011011110010110100000010000000010100110101101100001100000100001110011001011100100001111110111000111001110111110000010011100110011111110110010111110001011111110000001110110111011010101100010000101011100011001111100010101111110011010110010001001110100011010000001111100001100001110011111011011111011110000110010010111010000111100101000000000011110001101101000110100010111 0101010010111101011001111111101100000000111000110101101000100100000010110011111010110000110111111111111011001111001101011110001101011110110001010100101100111100010000101101111010110110000111011010100001000001111101010110001010110011010100010010010000111110110011101101100010000101100111001011000101101011010110001100010011011001011000111100010101100001000111101101010111100001110110101111001110000001 1100111101110010100101111000100100110111101101010111000111100101010011100010011110010111110111010100011001000100010001001010010110111011110110010100101100111001111010101101001010000000110110000011101111100011100101010101101001101110100110011000110110010001011111101110000111010110011111001010010101101010100111111000111110001011110110011100111001000110011111010000110111000111000100101011101000110111 1101100111001000011001101010001011001000010101101001010011001001010111110010110011111000000111101010000101011001110011101011101001111001011011001000111000110100111001100101000000011101101110011101101111110011011011000011110111000001010000000111011110001101000010001110111001011110001000100010011101010111111000010001100001010001101101000111101110110010001111101000010111101010000111111100000001010000 1101101100010011000111010100110001101110110000001001111100000101111001110110000010111101010111100010101100100010000111110100000010001111110011101101010001001110101010101111110110001010001000101100011111000111101110010011001001100101101111001000010010010001100010100011010011001110101111100001011110011010010110100111001001010111001111101010101101011010011011111110011011001110100010010101100001000100 0001110000010111001101000011100011100000111100100000011001111110101000010111001111101001010101001000001001011111010000101000101000001010101101000011111110101110101100111100001110101000100111100011100100101110100010000000100001111011111011000111101101000000101000111011110100001000110111011100011111100100000111000001100110110111100110111101001111000000010100010011001011000100100111111110000111101001 0110111000010010011001011000001110010101001100001111110101101011010111000111101001111011001000000001100100100001111111001110011001011000000001101000010101011100011000000011011000101100111100101100101000110001011000100000110000110110110100010110011110101010100000001001111010001001100011111111100101001110111000111000001011101111101100010110110101000111001000111000110000011011111110111011110010100111 1000101010000111101111100100110000010011100000110011110000101110000010111111000010010000000011101100001000000101011101011011101001011011010001100001001100101101110010110111000101110110101010110001100101001101101101010100111110110001000111010100001100011000100010010010001000000011010000000101111100110001010100111100010101010001110011011010111100001000001000000011101011110011110101000000100010000001 1101011100111011100000100001101111000000011111010000100001111101010110101010011111010010110100101000010000111001110011111111111101000010111111100110101100001100011100010011101000110110100110001010000001011101010000110111101000111101000010011111100000000100001101001010110010010011100000001011110001110111010011101000000000110001100011101001110000001101011010000100010100101110100101111011011111100101 1111011101110000101101000010110100010001100010011101010110010001101010010000100001010100101000111000010000001001100011000110101100011010111010110111111000111000111101100000000111001101110001010111111110110011100111000101110000110110101000001011110010010000011010011111000111111001111011011010000111111010001100011111001001011111100101100010000100101100010110011001110000011011001111000100001100101100 1100111110110100101111001111101111110101111010001100101111000010011111000000000111100111001001101011000110001110000101010101101101000111111010110010010000010010001000000110010000110000111011110110001011110011100010111010001111101110101000111000011100001010010000010111111111001000101000101111001010011101110101100100110101101101001111101011011101011110110101100101011111010110011011010011000111111101 0100110100010100011010000001100011000000011001011111011110110011000001101000000011001010111100010100011100111010001110001000111010011110100001100100110000000000100000101111110100000011110001010000110001111111011100100011101001111100010110100011000000000000000111100111010110011101011101000100110000000110111010100110110100010110110000100010000101101111111100001110001110001111001101010001010001010101 1110110101001110011101111111110110011011100000100010100111001101011001011000111000000110111000010010000101010101100110100011100100111000001000010000110100111001001001001101010001001011001000110110100011011110010010010000111110010011001000101000011110010000101011001100001111010111101010101001100100001110111000000101001011111011110000010111110111100011000011000101011101100011011011011010011101101111 0000001111011001101001100101001111111010101001010100011111011011010110110100110001011010010110001010101101111010111101101100101111100111101101011000110100001000111110010111110000011110100110110010111001010101000110001110110011000011011110100011010111010101111101110100100000010110100100110010101101110010001100111010100001011001000001000001110111111011101110000111111101110011100111100111111011001001 0011000001111101111011001001110110101111011011001001100001011000010010101011101100011010101111010101011010111100101010101001011110011110001001101000000101110001001011001001111100011000111100101111101001101000011000101111001010010000110010010101100010001100011010111111111010110000001100001010101100100101101110101010100001001110100001010000111011101100011010110011000100010011111000100100010001111000 0110000110001111010110110010011011101011000101100101100000010000110001101000101100110100011101011010100000111101110110000010001001111101001000111010110110001010100011001000110010110010111010111000001100111010110111101001011010011110000000101100000111000010111010011011100000111100001001111010110110011100011100110111110101111101010001011011000010111010101111100010101110011100011011100101100101100111 1010111110110111010010001000111000100001101101011110110010110100100111011010100111011010000010010001101100011100101110101001111100100110110001001000001000000101001100110011001010011110011001010110111010010111111101010111000010000010111111001000000101011100100100000011010110110000011011110111010011111100000000101011001101100110100011001100011010001100111000001101000111011101000101101000110010010001 0111100111110111001110101010001111101010101100010101010111111011101011100101111011010000101011101000101111000111110001100111110000011000011011110001111100010111100011001011110111110101001100001011010010100110010010010001101101000110100011011110010101101000010011110100100100001110100001010100010000011011001101101100110001000001100100011001111111101000011101100010000101000101010101001000101100101000 1100000110001111011000100011111001100111100100100011111110100001111101000110110101111101100111001010100100110100110011001010100011100001011011000010110000000000010011010111100001011011110010001111010010011110001011110101000111011100110100101000000001111000010111000000000111111000011110001001010010100001101101111001000001000110100001010000110100101001111101101111100111010110110011111100010001001111 0101101111111011110000101010111101101000111000110010001101110010100011010110100011101101100110101010001010011010001100101110000001000001111000001010001101001001110101101000110000011000001010000101101010111100111000100100110010100010000111000000100011000011011101001100000001110100100011111010000101011011011000111010011001011111101000000000110010001010101010000010110010100100111100111001011110100101 1011011100110110111111011100010111111000001111010000100100000011100100001111000010000000001001100011111001101110111111010011000101000111110001011000101100101011110101000000111110010011110000100111111001111100100100001111010000110010010001101001000101011110000110101001111011010011111101011010110000100110110101100111111011110011101001110001110000101100011010010100110110000010001011111001001110101011 1011100000101000011000110011001000110010110001111111101111000000001110011011001010101000111001001111100010111000110101010110000101110100101011100111001111100100110011100100011000000111100010110100000001000110101101001100010110110111100011101100000111010100111011011100001100110100011101000010101001110011100001101000000011111101000010010110000000100001110000101110110110011011010100110100111010010010 1101110001101111011101011011100011010111001010101110111111011100001001001111110110110011001011111110010110100000000111001001100000001111101000000111100110111100110011111000001100011001101110111100000101011101000001011101010001010110011100010101101110000101011110100111010010101001011000110010000110111110110000001101101101000101001010011101000001011110110000000011101011101011010100000101010100100100 0100000010001011010100010011101010110101000110100101100010010000001001011111011101001110111101111000110011010000110100110010100010100101111000011001000111000110000100010001100111011010001010010111010001011111111001001010111101010010001010010101000111100000011001100101000011101111011000010011000010110101011100110000111001111100000001000111101001110011011001000000101011001011110101011100000000111001 1111110001011001000000000101101111001011111101011100001111010100110000010111100000001011000100001010111101101010010010101011110110111111011000111001000001011101101100011001100100110110111001000011001000101111101110110001010111000010100000001101011000110111011111110001010111100001010010101111011100111111001001011001110100001000111010111100000101000010101011100100100111100010101000001011100001001110 1111100001010100010010101100011101111010000001111000001010110000000111011001011101001010110010010011001000100010110101011000110001000100100001010010101011101010011101010011001000001111100000101111001000011101010101011101101001101011011001101111111111110110001110011111111101011100111111000100000100000000101001110011000010000111001001001010110001101101010110110110010000010110100010101110011100110011 1100000111000010101000010010010010001001101100110101000001110011111000001011010100000011111100000011001000110101101000101111010001110010001111101000111101010111100101110010001111110000000011000111101101001101100111001100111001000000000100110010010011101101000011100111000100101011100100100011100011100000101101101000010100000011110010000001010111100011000100101011000111111100010000001101010101100010 0111000011100000011010100110000011100001100010100000110010001111111000000001110000111001110101100010100011011110101010100111111111101101110010101111111101100001111100111011101001001101111000110010100110010101010101111011011000001011011010010010101110100101010101110111110110111100111100110001010111010010101110010000011001000110100101110011010001110011101010101010011001010001011011111011100011010110 0010000111000000110110000101100010000100111001001110010110100001100001001001100100101100000000011110101110111001011110010001110111000000000111010011000001010011100110011001011101010000010111111011011001110110110011100100111011001010100111010110010011001011101010110010000001000110101001110011101100011101111100111111011011100100111010010101101011011111110011000101000111110001010101100000100011101101 0110111100110111001011110100110011011110100001110100110001001010010111010010111011001101011101010100001100111101100110000001110100001010001001010101110000110001001100100010000011111010010110010000101110000001100100011101111101010011100101010001000100111110000101010111111110010110100110110111111111111011111010100001101101001001001010000011001100101011101001110000000100111011000000001001101110001010 0111011001101010101110001110111111110110100101000001010100011101111110001011100000011110010100001101000110010111111000011001011110100111111101111110010000100101110110011010111110000110011010011011100000001011100101010011111101000111010010011101001110100111101111010011110111101011100001000001000100100111010001100010001101001101011110011100011010101111111011101000000100101100010101011000100111110001 0011111010000111000010110010000000110011011000001111110000100100110001110010011100100101101011110000001111001001101110000000100000011000111100110111001111110010000000011011111110101011010001010111101000001111111000000111110111100101101111010001100100001101001100110011110001000000101010000000111010100010001110000000101110100011011100100010100000000111001001001001111111100001111011011010111011111100 1110110110110110011010111111000101010101001001111111000111001101111001111011010000001011000100110000111100000010010011111100110100111111011001010001111000011010000010010101001111101001111110000001010011101011101111111111101110010100000000000010011000111001011100110011101100001100011101110100100011111100110111001010111000101001001110100001000110101000001101101010000110101000100010001101100000100111 0101111110001101011100001111101111100001110111100011011110001000100100001000010011011110100001001110011010100001010010010110000101000100100101000101111011000101111011101011001110111000101101001111000010001101110101000000011111011111101100110001010111011110110101100100001001001111111101110100111101011111111100111010010011110100101101011001100100011001111101010110110010101100110111100101001101010011 1000100100101000011110010100100010011000100100100100110110010100001001101010001110101100110100010100101100000000100000000001100101000101001010001111000110100010101000010100101010001010001000010010001011100011111101111100101100001001110110100110011001010110011110010010111111101101110011111001001101011100011110001101001010010110000001111100010000010100110010111010101010011100000010000110010101010111 0110001010011101010010001100101010001000101000110001011110010110001001111000111000101000110111001110100110000111111010101101010111100111010000100111001110110110001100011111000110001001011100101011111110111001111000110000110111100010101010110001000101010010010000110000101101000000100100101010001101100011110100010100010000100100010110110110011111001010111001000110010010000101110110111000100010110010 0111011110101001011001010000001110100000000010010001000110111100100001110100100010010011001010000010101111110111100000100110000101000010111001001000111101001101111100011000111110010111111110101101111000001011010001101001001011111001011100010001010100000011101111101101011110000101100010001011011000100000000000000100011010000011110101000101001101010100110010011001101111011100111010001111110011100110 1100001100110000101000001111000101010011000011011010100000111110111101110111100010011000110101111110000101001000101010101000010001011111100111100111000101011101001011000011110100001010110110100001000000010001011001100010000010110101110101011010000011001110101001000110001010011110101010101000101100101000011001010010011111011011101000001000111001110111111110110110000011110111000010011100001001001011 1010100000000001110001001000110011100111001010011001101101110110000101010000010100010001111011010100101010011100100101100100110010100100100010101011000101100110010101000010000111011010111111100100100101000001101101000001100111000010011000001110001001001101010001101011000000011000010011110000001001010011100001111010101100000000010101101001100000110111001000000111101010001011010010101000100010000111 1000100111100111011110100011001011100010011100000001000000110000111010001111101111011010011110011111001100000101110000110001110110111001101011111100001000101101110110010011111101001010011010101110000001100110100110000110011010010010110001010010000111111111010111000001011011101010011110001100001001001111101110101100111100111111100011101111111110010010011001011110000110111111001101010001100000110111 0010001011001110000010001101111110110011110101001001111111001110110110101100010010101101100010001010111011101110001100011010100001000100000011101011100000111100101000011001011111100101110110011110110011011001000110110001010111101000111110011001100111000100110101101001101011011011101110110101111011010101111101110110001110001100001010101111101000000100001011011110001000010101111011001110111100011100 0010011001010100100000110111010001001101101010001101111011000001001001110110100111000111100010110000111100101101100000001000101000111000000101101101101001111000011110001011001110111001011010000011111001100111100001000101000000100111100100011110011100101111100000101110111110100110010010001111101110001111000101110110111110010100110101100000000000001000110110100101010011100110001110000101010101100011
cTraderインジケーター

【cTrader】cTraderでPivotを表示する【Tools】

1/27/2021 6/22/2023

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。

Pivot Pointsとは

有名だけどcTraderには入ってないインジケータ

比較的有名なのに、MT4にもcTraderにも入ってないインジケーター第2弾。今回はPivot Pointsを取り上げてみたいと思います。日本語では短くPivotと呼ばれることの方が多いですかね。

ちなみに「有名なのにMT4にもcTraderにも入ってないインジケーター」第1弾はRCIのつもりでした。

RCIは日本で人気が高いインジケーターと言われていますが、Pivotは世界中のトレーダーが使っているそうです。世界中にトレーダー友達いないんで本当かどうか知りませんけど。

 

どんなの?

Pivotを使ったことはなくても、こんな感じの画面見れば「ああ、なんか見たことあるわ」という方も多いのではないでしょうか。

雑に説明すると、値動きの幅の目安を示すインジケーターってとこでしょうか。たとえばS1S2R1R2で逆張りエントリーとか、S3R3でトレンド発生とみなして順張りエントリーとかそんな感じで使われたりします。(適当)

ちょっと検索してみると、Pivotのことを「最強のインジケーター」と呼ぶ人もいるくらい、人気の高いインジケーターです。ちなみにajinoriもちょっと前まで表示させてました。

 

(23/6/22 追記)

読み返してみたら、適当すぎて初心者の方に誤解を与えそうだったので、ちょっと訂正。

Pivotの使い方は人それぞれですが、単体でエントリー判断に使われることは少なく、上記のような単純エントリーをしてもまず勝てません。

あくまでS2くらいまでだとトレンドとはまだみなせない、S2超えてS3くらいまで伸びてるとトレンドっぽい、という傾向があるくらいと思ってください。

どちらかというとPivotは「意識される価格帯」を認識して判断の補助的に使われるような使い方が多いと思います。

 

重要な特徴

Pivotにはインジケーターにありがちなパラメータ設定がありません。また、基本的には表示させるTimeFrameにかかわらず(Daily Pivotであれば)日足をもとに計算されます

つまりPivotは誰がどの時間足で表示させても同じ表示になるということなんです。これはなかなか重要なポイントです。

たとえば移動平均線がメジャーなのは誰もが認めるところだと思いますが、いくらメジャーでも人によって設定期間が違えば違うインジケーターになってしまいますし、当然それによるトレード判断も大きく異なります。

しかしPivotは設定がないゆえに誰もが同じ表示になるのです。誰もが同じ表示を見て、だいたい同じようにトレード判断を下すと思うと、相場がPivotにあわせた動きになりやすいというのはなんとなく納得できるのではないでしょうか。

 

cTraderで表示させるには

デフォルトでは入ってませんが、どっかから拾ってきたPivotインジケータをインストールすれば使えます。

ajinoriも一応作ったのでこの記事を書いてるわけですが、cTraderフォーラムにも似たようなインジケータはいくらでもあるのでお好きなものをどうぞ。このページからpivotとか検索すればたくさん出てきます。

 

DWM Pivot

さて、せっかく作ったので紹介させてもらいます。

Pivotには日足をもとに計算したDaily Pivotの他にも週足、月足をもとにしたWeekly PivotやMonthly Pivotと呼ばれるものもあります。

おそらくDailyPivotが一番メジャーなのですが、基本的にFXではより大きな時間足の動きが重要なのは言うまでもありません。Pivotも例外ではなく、Weekly、Monthly Pivotも決して無視できないものとなります。

「じゃあ全部いっぺんに表示させちゃえ」といつもながらの単純思考により、Daily、Weekly, Monthly Pivotがいっぺんに表示できるインジケーターを作成しました。

 

機能概要

自分で作っといてなんですが、若干見にくいですね・・・図ではdaily、weekly、monthly、全部表示させてますが、パラメータで非表示にもできます

おそらくトレードスタイルによってどれを重視するかは変わってくると思います。色や実線点線は変えられるので、スタイルに合わせて変更してください。

 

パラメータ

DailyPivot, WeeklyPivot, MonthlyPivot

それぞれ表示非表示を設定します。

 

ダウンロード

 

追伸

最近、PIvotあまり使ってないこともあり、たいして作り込んでないです。もし、ご意見ご要望ありましたらコメントください。使ってくれる方がいるようであればバージョンアップいたします

 

(2021/5/3 追記)

好きな時間足でPivot表示

MyPivot

コメントでご要望いただきました、4時間足のPivotも表示できるように好きな時間足のPivotを表示するタイプのPivotインジケータを作成しました。

 

YearlyPivot

cTraderでは年足というものがないため、年間のPivotは上記では表示できません。年間のPivotを表示するYearlyPivotは別インジケータにしました。

(2021/5/5 修正)

 

いずれもDWMPivotを改造しただけで、テスト(数値の確認など)してません。基本の計算式はそのまま使いまわしてるので大丈夫だとは思いますが・・・

ソースコードも見れるため、もしどなたか間違いに気づいたら教えてください。

(2021/5/5 追記)

ごめんなさい、YearlyPivotの計算対象の抽出部分に誤りがありました

早速試していただき、間違いを見つけてくださったtorontさん、ありがとうございます!

上記リンクは修正済みです。もしすでにダウンロードしていた方がいましたらお手数ですが、差し替えお願いいたします

 

(2023/6/22 追記)

DWMPivotがTick足等特殊足に表示できなかったのですが、Tick足、Renko足、Range足、Heikin足にも表示できるように改修しました。

cTrader4.2以降専用版のためこちらに別に置いておきます。


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