1,1
11,1
101,1
111,1
1001,1
1011,11
1101,101
1111,1
10001,1
10011,11011
10101,1
10111,1011001
11001,1101
11011,1
11101,110001
11111,1
100001,1
100011,1101
100101,1000101
100111,101
101001,11001
101011,11
101101,1
101111,1100111
110001,11101
110011,1
110101,111111
110111,11
111001,1001
111011,1100111
111101,111
111111,1
1000001,1
1000011,10011
1000101,100101
1000111,10010011
1001001,1
1001011,1101
1001101,11
1001111,10011
1010001,1011
1010011,101101
1010101,1
1010111,100101
1011001,10111
1011011,11
1011101,1
1011111,11011
1100001,111101
1100011,1
1100101,11101001
1100111,101111
1101001,1101
1101011,1
1101101,10101
1101111,10111
1110001,111011
1110011,1000001101
1110101,101
1110111,1
1111001,1011101
1111011,10111
1111101,101001
1111111,1
10000001,1
10000011,110001
10000101,11011
10000111,1101
10001001,10111011
10001011,1010111
10001101,100001101
10001111,1111
10010001,1101111
10010011,1101
10010101,11101
10010111,111
10011001,1
10011011,1101
10011101,11
10011111,10101
10100001,1111001
10100011,101101
10100101,1
10100111,10001011
10101001,1101001
10101011,11
10101101,100001
10101111,101001
10110001,110001
10110011,111111
10110101,1011101
10110111,1010001
10111001,1010111
10111011,11
10111101,1
10111111,10011001
11000001,1111101
11000011,1
11000101,1000010111
11000111,101010111
11001001,11100101
11001011,111
11001101,101
11001111,11001011
11010001,1010001
11010011,11
11010101,110001
11010111,11
11011001,10010111
11011011,1
11011101,101
11011111,11101101
11100001,1101
11100011,1000101
11100101,1111
11100111,1
11101001,1100101
11101011,1111010101
11101101,1100001
11101111,11
11110001,10001
11110011,10011
11110101,10000011
11110111,11101
11111001,1111
11111011,111000001
11111101,1001101
11111111,1
100000001,1
100000011,11101
100000101,10010101
100000111,1101101
100001001,110011
100001011,10111
100001101,10001101
100001111,10111101
100010001,1
100010011,100111
100010101,10111
100010111,1011
100011001,11
100011011,1010010111
100011101,1001
100011111,11001
100100001,11110001
100100011,1001111
100100101,111101
100100111,10101100101
100101001,1
100101011,1011001
100101101,11
100101111,1001100011
100110001,100001001
100110011,1001111
100110101,10100111
100110111,1100001
100111001,1
100111011,1101
100111101,11
100111111,1101111
101000001,101011
101000011,11011
101000101,1
101000111,111
101001001,1010011
101001011,1100011
101001101,100111111
101001111,101
101010001,110001
101010011,1101011
101010101,1
101010111,11000111
101011001,10101111
101011011,111011
101011101,100111
101011111,101
101100001,1010111
101100011,10011001
101100101,101011
101100111,10001110101
101101001,1010111
101101011,11111
101101101,1
101101111,101111
101110001,11001
101110011,1001
101110101,1000111
101110111,101001
101111001,10011
101111011,11
101111101,1
101111111,1101000111
110000001,1110101
110000011,1
110000101,1000000111
110000111,1111011
110001001,110010001
110001011,11001011
110001101,10001010111
110001111,1001
110010001,110001001
110010011,1
110010101,10011
110010111,1010111
110011001,11000001
110011011,1111001
110011101,10101
110011111,1001
110100001,11101
110100011,1101111
110100101,1000011111
110100111,100001101
110101001,101001
110101011,1
110101101,101
110101111,111101
110110001,1111011
110110011,100101
110110101,100001011
110110111,11
110111001,11010101
110111011,1
110111101,101101
110111111,1010111
111000001,11111011
111000011,1001011
111000101,111
111000111,1
111001001,1000111
111001011,1011
111001101,100101
111001111,11101100101
111010001,11001101
111010011,1000101
111010101,10110001
111010111,1
111011001,1001
111011011,101011111
111011101,111
111011111,100101001111
111100001,11110111
111100011,1010111
111100101,1101111
111100111,10010100111
111101001,1111
111101011,10100101011
111101101,10010101
111101111,1
111110001,10101
111110011,1010111
111110101,1100111
111110111,1001011111
111111001,1010000001
111111011,100011
111111101,110111
111111111,1
1000000001,1
1000000011,10101111
1000000101,101000001
1000000111,1011
1000001001,10001001
1000001011,111101
1000001101,101001
1000001111,111001
1000010001,1001101001
1000010011,111010101
1000010101,1111101
1000010111,11000101
1000011001,10101
1000011011,110001001
1000011101,100000101
1000011111,11111
1000100001,110100111
1000100011,11011101
1000100101,11011
1000100111,1101
1000101001,10010001
1000101011,11101
1000101101,111110101
1000101111,1111
1000110001,1
1000110011,10110001
1000110101,11101
1000110111,10011
1000111001,11
1000111011,110101
1000111101,110011
1000111111,1101001
1001000001,100101
1001000011,11111011
1001000101,101111
1001000111,1011101
1001001001,1
1001001011,10101001
1001001101,11011
1001001111,110001001
1001010001,10011101
1001010011,10010111
1001010101,101010111
1001010111,10101
1001011001,11100001001
1001011011,1110011
1001011101,10100001
1001011111,111110111
1001100001,1000101
1001100011,100101111
1001100101,10100111
1001100111,101
1001101001,101111
1001101011,1011000001
1001101101,11001011
1001101111,100001001011
1001110001,11111001
1001110011,11011
1001110101,10110101111
1001110111,11000001
1001111001,1
1001111011,1111011
1001111101,11
1001111111,1010101
1010000001,10001101
1010000011,1011101
1010000101,1
1010000111,111
1010001001,101010011
1010001011,10010111
1010001101,10001001
1010001111,110001
1010010001,10011
1010010011,10001111
1010010101,10000010001
1010010111,101
1010011001,101011111
1010011011,111111
1010011101,1001111
1010011111,101011001
1010100001,1100100001
1010100011,101001
1010100101,1011
1010100111,100101
1010101001,10111
1010101011,11
1010101101,10110011
1010101111,101
1010110001,10010011
1010110011,10111111011
1010110101,1
1010110111,111111110011
1010111001,11001
1010111011,1010101
1010111101,1001001111
1010111111,10101001
1011000001,101000111
1011000011,101001101
1011000101,1001010111
1011000111,11011111
1011001001,1010111
1011001011,11
1011001101,1
1011001111,10000011
1011010001,1111101
1011010011,10001
1011010101,1110001
1011010111,111111011
1011011001,10011
1011011011,11
1011011101,111110110001
1011011111,100000011
1011100001,1001011
1011100011,11111111
1011100101,101101
1011100111,10110111
1011101001,10110011001
1011101011,101
1011101101,100100110111
1011101111,1001010101
1011110001,11000001
1011110011,111
1011110101,1100101
1011110111,100110001
1011111001,11101
1011111011,11
1011111101,1
1011111111,11011011
1100000001,111111101
1100000011,1
1100000101,101101
1100000111,101001
1100001001,11110101
1100001011,10010001
1100001101,100010111
1100001111,10100001
1100010001,11001001
1100010011,1111
1100010101,110010101
1100010111,10010001
1100011001,10000001011
1100011011,10001
1100011101,11111
1100011111,1100100111
1100100001,11001
1100100011,11
1100100101,1001011
1100100111,101111
1100101001,11001010001
1100101011,100001
1100101101,111111
1100101111,1001
1100110001,1010001
1100110011,1
1100110101,100111000011
1100110111,11011011
1100111001,1101
1100111011,110110001111
1100111101,110000101101
1100111111,10111
1101000001,10110001
1101000011,100110101
1101000101,10011
1101000111,101111111
1101001001,1001111001
1101001011,1
1101001101,10101
1101001111,10111
1101010001,11011101
1101010011,11
1101010101,101110101
1101010111,11
1101011001,10100111001
1101011011,100001
1101011101,11001
1101011111,11101
1101100001,10000111
1101100011,11011111
1101100101,10001011
1101100111,100110111
1101101001,101001
1101101011,1000101
1101101101,10101
1101101111,1010011111
1101110001,10101111001
1101110011,11111111001
1101110101,1110100111
1101110111,11
1101111001,101010001
1101111011,1
1101111101,101000101
1101111111,110011
1110000001,1011001
1110000011,1000101
1110000101,111
1110000111,1
1110001001,10011001
1110001011,100100011
1110001101,100000011
1110001111,111100101
1110010001,11000111101
1110010011,11111101
1110010101,111
1110010111,10111110011
1110011001,1011111101
1110011011,111001001
1110011101,1101111
1110011111,1111000101
1110100001,100100001
1110100011,110011111
1110100101,1000011
1110100111,11
1110101001,1111111111
1110101011,101011
1110101101,11101100111
1110101111,11
1110110001,1101
1110110011,1011000111
1110110101,111
1110110111,1
1110111001,11111
1110111011,11001000111
1110111101,100101
1110111111,1111001
1111000001,100110001
1111000011,111001
1111000101,11001
1111000111,11010101
1111001001,1001
1111001011,100111011011
1111001101,100010000101
1111001111,1
1111010001,110010011
1111010011,10111
1111010101,11101011
1111010111,1101101
1111011001,1101011
1111011011,1111010101
1111011101,1011001
1111011111,11
1111100001,100001
1111100011,1100100001
1111100101,11011001111
1111100111,101101011
1111101001,1001
1111101011,1110001
1111101101,110111
1111101111,11111000001
1111110001,11111
1111110011,101111
1111110101,11101011011
1111110111,1001111
1111111001,10010001
1111111011,10110111
1111111101,1110011
1111111111,1
10000000001,1
10000000011,100110011
10000000101,10111001
10000000111,111000001
10000001001,1000011001
10000001011,1000011
10000001101,10010111101
10000001111,111100001
10000010001,1100011
10000010011,101010111
10000010101,1010001
10000010111,1101
10000011001,100001001
10000011011,10011111
10000011101,1011111
10000011111,101111101
10000100001,1
10000100011,11101
10000100101,101000001
10000100111,1100011010101
10000101001,110011
10000101011,100111001111
10000101101,10001101
10000101111,110101
10000110001,11
10000110011,100111
10000110101,100110010001
10000110111,101010011011
10000111001,11001110011
10000111011,11101
10000111101,111000011
10000111111,11010000101
10001000001,10101101
10001000011,1110101
10001000101,1100001111
10001000111,10011
10001001001,10100101
10001001011,111100011
10001001101,111011
10001001111,110101001
10001010001,1
10001010011,11001
10001010101,11011011
10001010111,110001101
10001011001,11
10001011011,10010011111
10001011101,110011110011
10001011111,100001110111
10001100001,1101101111
10001100011,11000011001
10001100101,101001
10001100111,10111101
10001101001,101
10001101011,11000001
10001101101,111110101
10001101111,100101011
10001110001,1
10001110011,10000010011
10001110101,111101
10001110111,101011
10001111001,11
10001111011,1100001
10001111101,101110100111
10001111111,101101
10010000001,1100111
10010000011,100111
10010000101,10111
10010000111,10111101
10010001001,1
10010001011,1011001
10010001101,110011
10010001111,10101101
10010010001,11010000111
10010010011,1000011100011
10010010101,101001
10010010111,11110111
10010011001,10001101
10010011011,11000101
10010011101,10101101111
10010011111,1111
10010100001,101101011
10010100011,10110001
10010100101,1011111
10010100111,111100111
10010101001,1
10010101011,1001100111
10010101101,11
10010101111,101110000101
10010110001,1001100111101
10010110011,10000011
10010110101,10001
10010110111,101101
10010111001,1011
10010111011,1000111101111
10010111101,111101
10010111111,10011
10011000001,11100001
10011000011,1011001
10011000101,11101
10011000111,110111
10011001001,11000011111
10011001011,11000101
10011001101,11
10011001111,10001001011
10011010001,1101001111
10011010011,11011
10011010101,10001
10011010111,111
10011011001,1
10011011011,10110001
10011011101,11
10011011111,11010011111
10011100001,110011111
10011100011,11111000011
10011100101,1001
10011100111,110011001001
10011101001,100101
10011101011,1111011
10011101101,100100001
10011101111,10110101
10011110001,1001101
10011110011,11011
10011110101,1011101011
10011110111,11001
10011111001,1
10011111011,101001
10011111101,11
10011111111,1001010100011
10100000001,10101011
10100000011,101101
10100000101,1
10100000111,111
10100001001,10001100101
10100001011,11111001011
10100001101,10011111
10100001111,1100001
10100010001,11110001001
10100010011,101001
10100010101,110110001101
10100010111,100101001011
10100011001,1110001
10100011011,10110100101
10100011101,1000011001
10100011111,1011001
10100100001,10001101
10100100011,11110011
10100100101,1
10100100111,1000011
10100101001,1011011111
10100101011,1000111
10100101101,111101
10100101111,10011011101
10100110001,10011
10100110011,111100011
10100110101,11
10100110111,1111
10100111001,1101011001
10100111011,10011101001
10100111101,11101
10100111111,1001101101
10101000001,11100101001
10101000011,111110111
10101000101,1010101011011
10101000111,1000101011
10101001001,11001
10101001011,10111101
10101001101,111011101
10101001111,111
10101010001,100000100101
10101010011,1011001101
10101010101,1
10101010111,111110100011
10101011001,1001011
10101011011,10110010101
10101011101,1011101011
10101011111,1111011
10101100001,10011
10101100011,10000000111
10101100101,100100111
10101100111,100101
10101101001,1001110011
10101101011,11
10101101101,1001110111
10101101111,10010011101
10101110001,110001
10101110011,111000011
10101110101,1
10101110111,10001001011
10101111001,10111
10101111011,1001001
10101111101,100011111
10101111111,111011
10110000001,101010111
10110000011,10011001
10110000101,10101011
10110000111,10001100101
10110001001,10111001
10110001011,11
10110001101,1
10110001111,101111
10110010001,1110101
10110010011,10010000001
10110010101,10101011011
10110010111,100010001011
10110011001,1011101001
10110011011,101
10110011101,11010111101
10110011111,111011
10110100001,10010011
10110100011,110100011
10110100101,11110001
10110100111,1100100111
10110101001,11101
10110101011,110011011
10110101101,1
10110101111,100101
10110110001,100001101
10110110011,1001001
10110110101,110001101
10110110111,1010001
10110111001,1010100000111
10110111011,101
10110111101,1011010101
10110111111,1001010101
10111000001,110111001
10111000011,1000110001
10111000101,1101110100101
10111000111,1110011
10111001001,100011011
10111001011,1101111
10111001101,1101
10111001111,100011101
10111010001,1000010011
10111010011,111
10111010101,110001100101
10111010111,11100011
10111011001,11101
10111011011,11101111
10111011101,1
10111011111,100111001
10111100001,1110101
10111100011,10001
10111100101,111000001
10111100111,1100101111
10111101001,1010110100111
10111101011,1001000001
10111101101,11010111101
10111101111,101010001
10111110001,100011
10111110011,1110010111
10111110101,110101
10111110111,1010000001
10111111001,1001111
10111111011,11
10111111101,1
10111111111,111001011
11000000001,1111111101
11000000011,1
11000000101,101101
11000000111,100000101
11000001001,10100111
11000001011,1011010011
11000001101,100100111
11000001111,1101011
11000010001,1101001
11000010011,1101100111
11000010101,1001011
11000010111,100010000101
11000011001,1101001101
11000011011,11111111001
11000011101,1101
11000011111,11000111
11000100001,1011000001
11000100011,1
11000100101,1011101
11000100111,101001
11000101001,11110101
11000101011,1100101011
11000101101,10011
11000101111,1000101
11000110001,110101
11000110011,111110001
11000110101,100101011
11000110111,11111110101
11000111001,111010101
11000111011,101010011
11000111101,1110010001
11000111111,1111101
11001000001,111101
11001000011,10011110101
11001000101,100100111011
11001000111,1110111011
11001001001,101101101001
11001001011,111
11001001101,1001000011
11001001111,1001
11001010001,10000011
11001010011,1
11001010101,1101010001
11001010111,1010111
11001011001,101001
11001011011,10110100011
11001011101,10101
11001011111,1001001
11001100001,100001011
11001100011,10001101
11001100101,1001110011
11001100111,1011111111
11001101001,10001111
11001101011,100001
11001101101,1101001001001
11001101111,1001
11001110001,11011101
11001110011,1
11001110101,10011
11001110111,1100011
11001111001,1101010011101
11001111011,1111001
11001111101,1011101
11001111111,1010101111
11010000001,10110001001
11010000011,1111000001
11010000101,111001
11010000111,10100111
11010001001,11000001110001
11010001011,1
11010001101,101
11010001111,111101
11010010001,11010100101
11010010011,11
11010010101,110001
11010010111,10001
11010011001,111011
11010011011,1000101
11010011101,11010110001
11010011111,11101
11010100001,110101101101
11010100011,110111111
11010100101,10011
11010100111,11110101
11010101001,101001
11010101011,1
11010101101,10101
11010101111,10110111
11010110001,11111011
11010110011,1101111
11010110101,10011011101
11010110111,10001
11010111001,110101
11010111011,1000111101
11010111101,100011
11010111111,1100111001011
11011000001,1010001
11011000011,1100111
11011000101,10010011
11011000111,1101001011
11011001001,111110011
11011001011,1000111001101
11011001101,1011101
11011001111,100100001
11011010001,111111011
11011010011,111101001
11011010101,11111
11011010111,1101101011
11011011001,110100010101
11011011011,1
11011011101,111111010111
11011011111,1100101011
11011100001,10001111
11011100011,1001011
11011100101,110111001
11011100111,1001
11011101001,10110001
11011101011,1011
11011101101,10000011
11011101111,11111000101
11011110001,101111110101
11011110011,111101001
11011110101,11100111
11011110111,11
11011111001,110000111101
11011111011,1
11011111101,100110101
11011111111,101010111
11100000001,1111111011
11100000011,10001110101
11100000101,111
11100000111,1
11100001001,1001011001
11100001011,10001001101
11100001101,100000011
11100001111,10100111
11100010001,101101001
11100010011,10111000111
11100010101,1101001
11100010111,10001001
11100011001,111001011
11100011011,11110001
11100011101,111110111
11100011111,1111100101
11100100001,101001
11100100011,10111
11100100101,111111011
11100100111,1
11100101001,1100101
11100101011,10010110100011
11100101101,100110101
11100101111,10100111
11100110001,11100100011
11100110011,1001111001011
11100110101,101
11100110111,1111011101
11100111001,101111101
11100111011,10001101
11100111101,100001000011
11100111111,1110101
11101000001,11101011
11101000011,100111011
11101000101,10111000100001
11101000111,1010111111
11101001001,10000001111111
11101001011,10011111011
11101001101,1111101000011
11101001111,1001001111
11101010001,100011110001
11101010011,1010011
11101010101,11001101001
11101010111,1
11101011001,1001
11101011011,1001100011
11101011101,1000110101
11101011111,111100101
11101100001,100101110001
11101100011,10011011
11101100101,111001111
11101100111,1110101101
11101101001,11011
11101101011,101011
11101101101,1110100111
11101101111,11
11101110001,101001
11101110011,101110111
11101110101,1000011
11101110111,1
11101111001,11000101
11101111011,101010011011
11101111101,110001
11101111111,111011000101
11110000001,111011
11110000011,101111
11110000101,1111011
11110000111,10100011111
11110001001,11111
11110001011,1101011001
11110001101,10101111001
11110001111,1
11110010001,1001100001
11110010011,1000111011
11110010101,101
11110010111,11110001
11110011001,111101111
11110011011,1110001
11110011101,1011110001
11110011111,101101010101011
11110100001,11010000011
11110100011,1010111
11110100101,1101101111
11110100111,100111111
11110101001,111100111111
11110101011,100011
11110101101,1011001001
11110101111,1
11110110001,10101
11110110011,10011
11110110101,111100011011
11110110111,1111101001
11110111001,1000101001
11110111011,10001010011
11110111101,111100011
11110111111,101011011
11111000001,1111101111
11111000011,10011100011
11111000101,101
11111000111,11110001
11111001001,11100011
11111001011,1110101
11111001101,10000101
11111001111,100101100111
11111010001,10101
11111010011,1111110101
11111010101,10001101
11111010111,1001111
11111011001,1110011111
11111011011,1101001001
11111011101,1110011
11111011111,1
11111100001,101101
11111100011,100001011
11111100101,10001001101
11111100111,11110001
11111101001,11010011
11111101011,110111110001
11111101101,100011010101
11111101111,1111001
11111110001,11011
11111110011,11010000001
11111110101,1010001
11111110111,10100011
11111111001,1101110011
11111111011,111101
11111111101,1001011101
11111111111,1
100000000001,1
100000000011,1100000001
100000000101,10100000001
100000000111,1111001
100000001001,110011011
100000001011,1001011011
100000001101,111101011
100000001111,1111000001
100000010001,110100011011
100000010011,110001
100000010101,1101001111111
100000010111,1000110111
100000011001,10111111011
100000011011,100011
100000011101,1000101
100000011111,111001
100000100001,1011001101
100000100011,100100011
100000100101,10101010001
100000100111,110101101
100000101001,11011000011
100000101011,10111
100000101101,11100011
100000101111,110111101001
100000110001,110111
100000110011,1101001
100000110101,111100010011
100000110111,11000101
100000111001,1000011001
100000111011,1100110001
100000111101,1000101
100000111111,111111
100001000001,11111000001
100001000011,1101101
100001000101,1000110101
100001000111,110001110101
100001001001,1101111
100001001011,1001101111
100001001101,101001
100001001111,11110001
100001010001,111100100101111
100001010011,11011101
100001010101,101101001
100001010111,11001101
100001011001,110101111011111
100001011011,11101
100001011101,111011
100001011111,11111
100001100001,1
100001100011,111000011101
100001100101,111101101
100001100111,1010101011
100001101001,110111111
100001101011,111011101
100001101101,111011
100001101111,110101
100001110001,11
100001110011,1101011101
100001110101,1000101
100001110111,1010011011
100001111001,10001
100001111011,10001011
100001111101,1000110011101
100001111111,1110001
100010000001,1101100111
100010000011,10111110001
100010000101,10101001
100010000111,101101100101
100010001001,11001110100011
100010001011,10110010111
100010001101,1011001111
100010001111,100100110111
100010010001,1
100010010011,101100101111
100010010101,1000101
100010010111,10100111011
100010011001,1100011
100010011011,11101101
100010011101,101010001
100010011111,1000111000111
100010100001,100100011001
100010100011,11001
100010100101,101011001
100010100111,11001101
100010101001,1010101
100010101011,10011111
100010101101,101010110001
100010101111,1111
100010110001,1001
100010110011,1011010001
100010110101,111101
100010110111,10111100101
100010111001,11010011111
100010111011,10110011001
100010111101,101111
100010111111,1001000111
100011000001,110100111
100011000011,100001000011
100011000101,100011100101
100011000111,1111100111
100011001001,10000001101001
100011001011,1010111
100011001101,11000111
100011001111,1111
100011010001,100000100001
100011010011,110100011101
100011010101,11011
100011010111,111001
100011011001,111
100011011011,110101
100011011101,111010110101
100011011111,1100101
100011100001,11011111111
100011100011,1111011
100011100101,1101011
100011100111,101111101
100011101001,1000100000001
100011101011,110000001
100011101101,1001010011001
100011101111,10011011
100011110001,1
100011110011,100011
100011110101,1010111
100011110111,10011
100011111001,11
100011111011,1000011111011
100011111101,1001001
100011111111,10011001011
100100000001,111100001
100100000011,11001101
100100000101,11101101
100100000111,1011101
100100001001,1
100100001011,1010111001001
100100001101,1100011
100100001111,1111
100100010001,1001100101
100100010011,11111110011
100100010101,101001
100100010111,100111011
100100011001,1011
100100011011,1100001
100100011101,1001011111001
100100011111,100000010111
100100100001,11100001
100100100011,10111011001
100100100101,1001100010001
100100100111,1011101
100100101001,100111100101
100100101011,1011100001
100100101101,101110111
100100101111,10001000010111
100100110001,1110110001
100100110011,1000011
100100110101,11101101
100100110111,111
100100111001,101
100100111011,11000001
100100111101,1110101
100100111111,10000111
100101000001,101100110011
100101000011,111001011
100101000101,10010001
100101000111,10001010011
100101001001,1111111100001
100101001011,101011001
100101001101,111010101
100101001111,111011111
100101010001,1011011
100101010011,10010111
100101010101,1000000000101
100101010111,10101
100101011001,1011100011
100101011011,10000001011
100101011101,100001101
100101011111,10100011
100101100001,10010101
100101100011,1000011110011
100101100101,1101101
100101100111,11111001111
100101101001,1
100101101011,11110010011
100101101101,11
100101101111,11001
100101110001,11101100001
100101110011,1011001001
100101110101,101111
100101110111,1011101
100101111001,1100011001111
100101111011,1000011011
100101111101,1100011
100101111111,1111
100110000001,1011
100110000011,100111111111
100110000101,100100110001
100110000111,10101
100110001001,11001010111
100110001011,100101000111
100110001101,11
100110001111,10110101
100110010001,11000111
100110010011,11011
100110010101,10010111001
100110010111,1011110010001
100110011001,1
100110011011,10101001
100110011101,1100011
100110011111,1101000001
100110100001,1000101
100110100011,10100001
100110100101,1001001
100110100111,111111
100110101001,10110100011
100110101011,101001
100110101101,1110001011110101
100110101111,100001011
100110110001,10010000101
100110110011,101111101
100110110101,101011111
100110110111,10000001111
100110111001,10010101
100110111011,1011110000101
100110111101,10111
100110111111,1001111101
100111000001,1000100101
100111000011,111011
100111000101,10101111
100111000111,111111111
100111001001,1100111
100111001011,1010111100001
100111001101,1010111
100111001111,10011
100111010001,10100011
100111010011,11000011001101
100111010101,101000111
100111010111,110011011001
100111011001,1110011001
100111011011,11010011
100111011101,111011101
100111011111,10111001
100111100001,101000011
100111100011,101111101
100111100101,11101
100111100111,111
100111101001,101010011
100111101011,1000001111
100111101101,1001111
100111101111,11000100001
100111110001,1011
100111110011,1100101
100111110101,100011010111001
100111110111,1001011
100111111001,1
100111111011,101001
100111111101,11
100111111111,101010101
101000000001,11111111001
101000000011,101101
101000000101,1
101000000111,111
101000001001,1011011101111
101000001011,110001111101
101000001101,100000011001
101000001111,100011
101000010001,1011
101000010011,1000111111
101000010101,1000010001
101000010111,11001
101000011001,111000011001
101000011011,1010111100001
101000011101,11101
101000011111,110001
101000100001,110100001
101000100011,101101
101000100101,100111
101000100111,11111
101000101001,1010011
101000101011,10110101
101000101101,1000010001001
101000101111,1001101
101000110001,100101001101
101000110011,101000000001
101000110101,100110111
101000110111,110100111
101000111001,100111101011
101000111011,111111
101000111101,10110011
101000111111,111000110111
101001000001,10111
101001000011,1010111101101
101001000101,101111000011
101001000111,111
101001001001,111000001
101001001011,110000111101
101001001101,1101010101
101001001111,110111111
101001010001,10111111
101001010011,111010011
101001010101,1011001011
101001010111,1011100001
101001011001,1100101001
101001011011,11111
101001011101,101010010111
101001011111,111111011
101001100001,101111
101001100011,1101110011011
101001100101,1
101001100111,1100100010111
101001101001,11001
101001101011,101010001
101001101101,1011010011
101001101111,101111000001
101001110001,10011
101001110011,101001
101001110101,11
101001110111,10010101
101001111001,110000110111
101001111011,11011000011
101001111101,10001
101001111111,1011110010001
101010000001,11010110001
101010000011,10101001
101010000101,111010000101
101010000111,10000100011
101010001001,10111
101010001011,10111101
101010001101,111001101
101010001111,101
101010010001,11111010101
101010010011,10000010111
101010010101,1
101010010111,1011101001
101010011001,101110111
101010011011,110011
101010011101,110010101
101010011111,11001111
101010100001,1100001
101010100011,1101010011011
101010100101,111100001
101010100111,100111101
101010101001,1000100100101
101010101011,11
101010101101,1101010101
101010101111,10101001
101010110001,100000101
101010110011,1000011111
101010110101,101011
101010110111,11111000011
101010111001,100101011
101010111011,101110101101
101010111101,11101101
101010111111,1001101
101011000001,1010111
101011000011,101001
101011000101,1111000001
101011000111,10111110111
101011001001,1101001101001
101011001011,11111111
101011001101,11101
101011001111,100010000011
101011010001,100111011
101011010011,10110101
101011010101,101111101
101011010111,100101
101011011001,1010011111
101011011011,110100011
101011011101,10111110101
101011011111,111
101011100001,10100111
101011100011,1110111
101011100101,11010101
101011100111,10011101
101011101001,100000101
101011101011,11
101011101101,101101001001011
101011101111,1101100111
101011110001,101011100111
101011110011,10001110001
101011110101,1
101011110111,1111000011
101011111001,10100010011
101011111011,101010101
101011111101,1010101100011
101011111111,1010101001
101100000001,111001
101100000011,1000011111
101100000101,10010111
101100000111,111000111111
101100001001,11101
101100001011,11
101100001101,1
101100001111,10000011
101100010001,1001011011
101100010011,11110111
101100010101,101111011111101
101100010111,10100110001
101100011001,11101101
101100011011,11011011
101100011101,11111001
101100011111,111
101100100001,111111101101
101100100011,1000011111
101100100101,100101111
101100100111,111001110011
101100101001,1110011111101
101100101011,10000110111
101100101101,11110001001
101100101111,1000101101
101100110001,1010010111
101100110011,1111111111
101100110101,1011101
101100110111,100101
101100111001,1001001011
101100111011,10101
101100111101,10001111
101100111111,111
101101000001,10011011
101101000011,1110010111
101101000101,11010101
101101000111,101011011001
101101001001,10011
101101001011,11
101101001101,101010011
101101001111,100000011
101101010001,10010011011
101101010011,111000111
101101010101,1000111
101101010111,1101111
101101011001,11001
101101011011,11
101101011101,110000101
101101011111,111001011011
101101100001,1101001001
101101100011,101000111101
101101100101,100010000111
101101100111,1011010111
101101101001,110001001
101101101011,1000111001
101101101101,1
101101101111,101111111
101101110001,111111101
101101110011,101010101
101101110101,110001101
101101110111,1001001101
101101111001,10011111
101101111011,1111
101101111101,100101000111
101101111111,101001001
101110000001,111000101
101110000011,100010100001
101110000101,10010101111
101110000111,10111
101110001001,110010000001
101110001011,101111000011
101110001101,1001100111
101110001111,100101
101110010001,101000111
101110010011,11111
101110010101,101110011101
101110010111,1110000011
101110011001,1101111001101
101110011011,11
101110011101,1
101110011111,101001
101110100001,111111101
101110100011,1011
101110100101,100010111
101110100111,1010001
101110101001,100001011
101110101011,101101000011
101110101101,101010111011
101110101111,1001000101
101110110001,11001
101110110011,1001
101110110101,1111001
101110110111,1000101
101110111001,1111111000101
101110111011,11
101110111101,11100001001
101110111111,100101
101111000001,110001
101111000011,1111111111
101111000101,101111101
101111000111,10111
101111001001,110110001
101111001011,110011011
101111001101,1111000001
101111001111,101111111
101111010001,110011001
101111010011,10001000001
101111010101,100111011
101111010111,110101111
101111011001,110001
101111011011,1000110010001
101111011101,10110111010101
101111011111,10101000001
101111100001,1000010000011
101111100011,1111
101111100101,1110001
101111100111,100011101
101111101001,1101010001
101111101011,10010001
101111101101,10001110111
101111101111,1011111
101111110001,111101
101111110011,11100110111
101111110101,11011110001
101111110111,101001001
101111111001,10010111111
101111111011,11
101111111101,1
101111111111,100110011001
110000000001,11111111101
110000000011,1
110000000101,101101
110000000111,11100000011
110000001001,10010000011
110000001011,10000100001001
110000001101,110010111101
110000001111,1000101
110000010001,1111101101
110000010011,1000101001
110000010101,1100110101
110000010111,10001101
110000011001,1100011010001
110000011011,10110011
110000011101,10000101111
110000011111,1000110101
110000100001,1010011111
110000100011,11111
110000100101,1100101
110000100111,10010100001
110000101001,10101010011001
110000101011,10100011011101
110000101101,1010100101
110000101111,11110011
110000110001,100111111111
110000110011,100001
110000110101,1010100011101
110000110111,11001111
110000111001,101111001
110000111011,1101111
110000111101,10101
110000111111,11011
110001000001,111001101
110001000011,11
110001000101,1001111100011
110001000111,1001110111001
110001001001,100100011
110001001011,101111100111011
110001001101,1111000010001
110001001111,1001001001
110001010001,110101
110001010011,100011111001
110001010101,1001011
110001010111,110001111
110001011001,1010010010111
110001011011,100101
110001011101,1111111
110001011111,1111101011101
110001100001,10110001
110001100011,1
110001100101,10111010101
110001100111,101001
110001101001,110001
110001101011,1011010011
110001101101,11101110001
110001101111,1101011
110001110001,10000011
110001110011,10001010101001
110001110101,100001000111
110001110111,1011111
110001111001,11110000101
110001111011,10001
110001111101,101000001011
110001111111,10000110101
110010000001,1101000101
110010000011,1101100000111
110010000101,1100101
110010000111,101111
110010001001,1100001
110010001011,100101
110010001101,10011
110010001111,10110111100111
110010010001,11101
110010010011,1
110010010101,111001111001
110010010111,10110111
110010011001,1101
110010011011,101001010011
110010011101,111011000001
110010011111,10100111111
110010100001,11001
110010100011,11
110010100101,1110001001
110010100111,10001010101101
110010101001,111010101
110010101011,1100001011
110010101101,11111111
110010101111,1001
110010110001,11001001
110010110011,11
110010110101,10110001101
110010110111,1011010010111
110010111001,10000100011
110010111011,110101111
110010111101,110000001101
110010111111,100100101001
110011000001,1110111101
110011000011,1101111
110011000101,10100001101
110011000111,101101111
110011001001,100111
110011001011,10100100011
110011001101,101
110011001111,100000101
110011010001,10001011
110011010011,111001111
110011010101,10011
110011010111,11111100101
110011011001,1011001
110011011011,110111
110011011101,11001001
110011011111,11101000011
110011100001,10100001
110011100011,1101101000111
110011100101,1010000101101
110011100111,10111111
110011101001,101101100001
110011101011,11111001
110011101101,10011001011
110011101111,101011111
110011110001,101101000011001
110011110011,1
110011110101,110100001
110011110111,1010011100111
110011111001,100010011
110011111011,1010011
110011111101,10011001011
110011111111,1001001
110100000001,101000001
110100000011,10001101
110100000101,101000001101
110100000111,110011
110100001001,100010100001111
110100001011,1
110100001101,101
110100001111,1000000101
110100010001,10010011111
110100010011,11
110100010101,11011011001
110100010111,10001010001
110100011001,111000100101
110100011011,1000101
110100011101,100001110111
110100011111,10011111
110100100001,10001110111
110100100011,100100101
110100100101,1011100101
110100100111,111100101
110100101001,10011000111
110100101011,1001110000011
110100101101,1111
110100101111,100000101
110100110001,100010111
110100110011,10001101
110100110101,111111
110100110111,100011100001
110100111001,10110110001
110100111011,111
110100111101,1000101110011
110100111111,1101001011
110101000001,1100100101
110101000011,100101
110101000101,1010011101
110101000111,10100111
110101001001,10001011111
110101001011,100110011101
110101001101,1000110011
110101001111,1000101001
110101010001,10100010001
110101010011,11
110101010101,111111111111
110101010111,11
110101011001,10000010011
110101011011,11000111111
110101011101,1110000001
110101011111,1010101111
110101100001,10110100001001
110101100011,10010101
110101100101,10011
110101100111,10011010111
110101101001,100010111111
110101101011,1
110101101101,10111101
110101101111,10001001
110101110001,1100101
110101110011,100011110101
110101110101,111111
110101110111,10111001111
110101111001,10110001
110101111011,11001111
110101111101,1111
110101111111,10111111011
110110000001,1101101
110110000011,1100111
110110000101,110101001
110110000111,1000111001
110110001001,1101
110110001011,10000010001
110110001101,1011001101
110110001111,10111
110110010001,1011001
110110010011,10000011111001
110110010101,111111
110110010111,11
110110011001,1110010111011
110110011011,1
110110011101,101
110110011111,1001111111
110110100001,110000101
110110100011,1100100100111
110110100101,111000111
110110100111,10001
110110101001,101001001
110110101011,1011101011
110110101101,100010011
110110101111,10111
110110110001,1010010000001
110110110011,1000101101
110110110101,1111111001111
110110110111,11
110110111001,10110100001
110110111011,10000101
110110111101,100110101
110110111111,11001011
110111000001,111110101011
110111000011,1000011101
110111000101,11110001111
110111000111,11011011
110111001001,1011101
110111001011,101111
110111001101,10001010011
110111001111,1100011011
110111010001,1110100011
110111010011,1111111111001
110111010101,100000001111
110111010111,1011001111
110111011001,10001101000111
110111011011,100000101
110111011101,101
110111011111,10011111001111
110111100001,1000101111
110111100011,1111001
110111100101,111
110111100111,110101100011011
110111101001,111011
110111101011,10000001010101
110111101101,110001001
110111101111,11100001101
110111110001,11001011101
110111110011,1111001001
110111110101,10000001011
110111110111,11
110111111001,101010001
110111111011,1
110111111101,11010010100001
110111111111,111001101101
111000000001,11001101
111000000011,11100001
111000000101,111
111000000111,1
111000001001,100001111111
111000001011,100010001101
111000001101,1111010111
111000001111,1010111
111000010001,1000001110111
111000010011,1101011101111
111000010101,11001
111000010111,10101011111111
111000011001,11101011
111000011011,10010011
111000011101,110111111
111000011111,10001
111000100001,1110011
111000100011,10100011100011
111000100101,1111
111000100111,11110011101
111000101001,11110011
111000101011,1011
111000101101,10001011
111000101111,10011111
111000110001,11111110111
111000110011,101101100111
111000110101,111011111
111000110111,111101
111000111001,1001
111000111011,10000000101
111000111101,11001110001
111000111111,101100000111
111001000001,1110011
111001000011,1001011
111001000101,111
111001000111,11
111001001001,10110001
111001001011,100011101
111001001101,10011110101
111001001111,11101
111001010001,101001011001
111001010011,10000100001101
111001010101,1001101
111001010111,100001
111001011001,11011011
111001011011,1101000111
111001011101,11010100001
111001011111,110011
111001100001,100100001
111001100011,1000110101
111001100101,1111
111001100111,1
111001101001,1011111101101
111001101011,100110011
111001101101,1010111101
111001101111,110011
111001110001,11100111011
111001110011,1100101111
111001110101,10000101110011
111001110111,11010101
111001111001,1001
111001111011,10010011
111001111101,10001011
111001111111,10001
111010000001,1110101011
111010000011,10110111
111010000101,1000011
111010000111,11101
111010001001,1111000011
111010001011,1011
111010001101,10010100101
111010001111,1000001011001
111010010001,111011
111010010011,1001011
111010010101,10000101010011
111010010111,1
111010011001,111111
111010011011,100010101101
111010011101,1000110101
111010011111,1001100101111
111010100001,101110110101
111010100011,100010010101
111010100101,101100001
111010100111,11
111010101001,11011011011
111010101011,1011010100101111
111010101101,1100001
111010101111,11
111010110001,1110101011011
111010110011,10110011000111
111010110101,10001000011
111010110111,110001111011
111010111001,1101011111011
111010111011,1010111111
111010111101,11101000111
111010111111,1011011
111011000001,101001
111011000011,1111110011101
111011000101,11101111111
111011000111,10001001001
111011001001,111111111111
111011001011,101011101111
111011001101,1010001101
111011001111,110011
111011010001,1001100001
111011010011,111101
111011010101,101
111011010111,1010101111
111011011001,1001
111011011011,1001011100011
111011011101,111
111011011111,11111001
111011100001,1011011110101
111011100011,111001000011001
111011100101,11001
111011100111,111100001
111011101001,11011
111011101011,10101011
111011101101,1011001
111011101111,11
111011110001,101001
111011110011,10111
111011110101,111111011
111011110111,1
111011111001,1011101
111011111011,101011111
111011111101,1001110111101
111011111111,1110000110101
111100000001,11111110111
111100000011,111001
111100000101,1111011
111100000111,11101101
111100001001,1111
111100001011,1010101111
111100001101,1111010000011
111100001111,1
111100010001,10111101
111100010011,10111
111100010101,101
111100010111,100000111001
111100011001,1001
111100011011,101110111
111100011101,111
111100011111,11001111101
111100100001,1010011001
111100100011,1101010001
111100100101,10000011
111100100111,110101
111100101001,1111010001111
111100101011,1010001011
111100101101,110001
111100101111,100111
111100110001,10101010101
111100110011,1010000011
111100110101,110100111
111100110111,11101
111100111001,11000101
111100111011,110011001
111100111101,111
111100111111,11001000011
111101000001,10001000001
111101000011,100000110110101
111101000101,1100011001
111101000111,1100101
111101001001,1001
111101001011,1110001
111101001101,1000101
111101001111,11
111101010001,1100110011
111101010011,100000101
111101010101,1111011
111101010111,10110011
111101011001,10010101011001
111101011011,11111011101
111101011101,100101
111101011111,11
111101100001,100001010010101101011111
111101100011,101111
111101100101,1010111110001
111101100111,11010101
111101101001,1010001
111101101011,1110000010001
111101101101,110101011111
111101101111,1
111101110001,10101
111101110011,11101
111101110101,11011111
111101110111,1000110111
111101111001,1111
111101111011,11110101
111101111101,11001111
111101111111,110011101
111110000001,1010100101
111110000011,101111011111
111110000101,10100111000001
111110000111,100101111
111110001001,1001
111110001011,100101111011
111110001101,110011111
111110001111,1111000111001
111110010001,11011
111110010011,111001
111110010101,11001010111
111110010111,1001111
111110011001,10100001
111110011011,1000010011
111110011101,100010101
111110011111,1
111110100001,1100110011
111110100011,11101101
111110100101,101
111110100111,1000111
111110101001,11100101111
111110101011,101111010111
111110101101,111100110011
111110101111,10101011
111110110001,110100011
111110110011,11011110111001
111110110101,1111110010011
111110110111,1000100111
111110111001,1111
111110111011,1110000001
111110111101,11001111
111110111111,11
111111000001,1000001
111111000011,1001100011
111111000101,100011111101
111111000111,1000111
111111001001,1011110101
111111001011,1000011
111111001101,1001011001101
111111001111,111101000001
111111010001,101111001101
111111010011,11101101
111111010101,10111001
111111010111,11011011101
111111011001,1111
111111011011,11001
111111011101,101011001
111111011111,1011010011
111111100001,111111
111111100011,1011111
111111100101,101
111111100111,10011111
111111101001,11000101011
111111101011,1010001001111
111111101101,111
111111101111,100110111
111111110001,1001000000001
111111110011,1010110111
111111110101,1010010001
111111110111,11111011001
111111111001,11101111
111111111011,100111011011
111111111101,110110111
111111111111,1