bdfz_2024_summer/day5/hard/hard3.ans
2024-08-07 08:01:43 +08:00

2 lines
293 KiB
Plaintext

001100111001100000000110101011110110010100100100100110100010110110110101010011010111111100111001111010110010110101011001000010000100000001011101010001000110011111010101010000011110100010000001100001001000100001110101000011110111001010000010000100110110001100010011010100000100100111010101101000000100100101010001100001101011001110011111011100110111001010101110001111010011110011001000100011100101000100101001110000011100010100001001101110111010110010101000011000011100110011100101000001100101001010101000010011101001010110111001111010011100101111111010000101101000010100011011001100110100001000110000001110110101000111111000111111011000001000110111110101111001110010100000011101001101100110101001011110000111110000000110000011011010111101111010110100011110101010111100111111111101011100001000100010110011000101110110111101100010100101010101011111101110010000010101111001101100110111110011001101110011100010000110111110011010111100000111010110100011101101110100101011110000101010100101010000100011000110011010110101110011110001101001111011101110001000100100111001101111000010001100100110001011100100100001101001011101000000110100000101110000100100010111001010010001011100010001010001000001000011010010111010101111001111110001111110101011001100010111010110011101101010001010110001111011011001101110111000001101100110000111110000001111110100000010001110111000010000000111001011111110010000000100101100001111110001000101101101011000011110111000000110000100111111110011010000001011011101100110000010010001110011101111101100011101111010100100011111100110001010010010011000110000010001100000001101000111101010101110010011101110110101001010001110100111010000101000110010010110011101110111011011001111111001101000010010110111010111010111100111111011111110101110101111011100001000010001010110001000011010001010100000101010111111110001111100100111000010010110101010100010000110001110000111010001010101111000111011011101010111001000100110001011100011101100100000110111011000010000100111101001011111010101011101011110011001110110010110010011000110000001101110010001000111101100100000010100001101100001000000000000101101101111110111010001010010100011010000100000100110100110011101001001111011000000100011100011001010111111000011111110111100101001010101001010111101011110010001010110100100001111010010001010111000000101001111100001010101000111010111010100110101111111110000110101100101001001101110011000110000111100001000010000100001101110110000011100111001000100111011100011011010000001001100100010110110010111110010101000011011111110011111110001101001111011110001000000011111011001011010110110111111001000100010000000101001110000100111000110000100000011011101111011101011000101111001011101011000111011011011101010111011001010101001001111100011111000111001100010111101001001011001001101111101111101010001100001100111000010101101010111100100110001100100010101100010011011001001001001011110001011010011001101011010011011001010010011100001010101100001010100000111101000111100111100000011100101010010101001000010111100110100110111101110010011111100001010010111100010000000111110100000110110001000000010111100011100000111111010111111011010110110101000111010011101110010110110011111101001111111010101011111101011000011101101011111101101010110000011001010111100101100111001101110000011100011110001110111100010110111001100101011101101000000101011010100111101101001100101010101100000111000010010011100010111000111111011110111010010111010111111111010100000011011111101110001001000110101100101011111001010111111000110001101111100110011010011011110011101001000001101101111001001000010101111010010111010011110000011100001110101101001100111100010101000100001101101100101000001100001101110010010001100001001101100110010110010110100010000101111100101111010100100000010011100000101110011111001100100110001100010111000100100011010000011000000101011011010010111001111110011100001011101111001101100111001101001011000010101010100001110000111011101110001101011111100111110100010110010011011011110001111110100101000101111000000001111001011000101100100111001010101100101101101011000011111110110001101010011001011011011011100010010011111110011100000011000011111100111100101101100001101010000001110011011011000011010100111000011110100110101001001110000001110001111000010110110111100110011001101100001100001100011111100101100111101010000011101101100100001111000001100101010001010110101011110011001110000100100100100001111100101101110101000001010111101000001101000000101100001101100011001001111001110101111100001001010010001110000010000111011110001011111010011100100110100001001000101101010100111001001011101010010110101101011101001010111100101101011010110011110011110010100100010101110000011010100000011011101010101010101011111010110110011110011001011000001111010101010011011001100100000101011000111101100110001100000011010111010010011001111001000101100100010100000011001011111110011110110001000100111001001100111101110111101000011010111010000000100011001101010010111011000010000110001100001011100110010011010101010000010100010001111110111000111100010101010000100110100111011101011011010110000011001101111010111001010000011111000111111101101001001011011101011010100010100111011100100111011101010010000001011001101110001010101010101000101101011001111101100101100011101011001000000011101100010010001110011011101101110111010011000101010011010101000110000110100010010000000100010010010000000010011111111101001100000110001110110010010001000100011011001111001100110011000001000000001001000111111101100011111011111011000101001010111101001111111100001111110100111111010100010110101001100001100100100100110100100101010110001001011010110110100010000001110111110010000110011101001010111111011111001110110100111011001110100101010100010100010101100110010100000001101100110001111101110111010110011111110111111100111111110101111111010111011101011001110101011010110010011100000011000010001010011000111111100010001101101100001100111100011000001011111011100111010110100101100011111100001110001000000011000000100001001101000010100101101111110111100101010111011100100100101100000000000011111011111001101000110000011110101011110101001100011110011100000111010011011100110101001001010001111111001010101001010011000000001101111000110000001111011110011100111110111000000001111001101001101001110111011011110010111100111110001011011010101011000111100001101000000010011101001111011101101011110111101000110110000110101111011001110010011101111011101101101011010010111110101011100010001000111111111100111110101000101010000011011011001011001100111100110111010001011011110011101000101101100010100001010000010110010000010100101001011001001010010000101101000000001100101000100000001001010001001101011001111001001011011001011001001001111000001001000010110101011110111000011110100001000110000100000011111010001110000111110100110101110001110111101100111000100110101110100001110110000100010001011110111000110101001011111110110000111111011010000100101010111000110001110000000010011101110110000101011010100000101000010001001001011110100011100011011001100111100011010010101100000101000110111010111010000011111110100100001110001101101100111001101101011100100110100111011000100100010110100000111101010000101001111100101110101000110001011001010100111010010100111111100000000110011101010000011001101110011010110111000011001001001100100100100001001011000001101101000111101000100010110100001110000010101101011010010110111110101100101011100101000000010010100000001000101101001100000011011011011010010111011100100111000010111011010011100010101110100100101101100110111101100110011011001111001001101001011110001010100110000110101101010011101001011110010001110101100001100000110100011110110001000001001110010000101100001100011100110100101001101110000001011100011110110010111111001100110011100000001100001011100100111010100001001110001110100111100010011101100000101110011101001100101001011101110110111110110000011001101111010000011000110110011010110110001100000101011000110101010111111010010111000000010110001011101010000100000110000010101111011010101100100011101101010111011101000101001100101001000010011001010011101000001100011100011011010010010111010011001001011110011001111110000101100101100010110001101111101100101110011101011111001001100101011001101100001000100111001010010000000010111011100111100010100000110101001001000111000100000110000101100000110110010111101101101000110011011111001011101100011010101100110011101011011001110010010110000010101001000011111101001100011000001010100100101101110010010100011101001101011001000010001010010010111111100100000110110010100100001011101100010001100001010001001001110110110001010001000001000001110111001110011011010110111010001011100010111011100010100011010100111010111010111001101100101010010000101100101000101010111101111101000010101001100110010001100010011000100000111011010010010010100001011101000010100001000000010101110110011010010100101110111101110101011000010010110111100000010001001000011100000111011101001001000110011010010011100001001110011110000010110001001000000001011101010000001010000100010011010010010111010100101001111010011010011111010110011100010011100110001110110010011000001111000111110001010001101111010001011011111110111111111001111011101001111001111010000100100001001010001011110001101001111111000101011111111101010100101010111010111001010001110111111010110000111101110100101011110010100100111010101101111010001110001100010010011010101101001010101101001111111001101000110000000010110100100000000110111011001101010110011111011101100101011110000100001010110101101000101010000100110110100111110100010101110011001000100111011101011111111110000000010001001100010000000100111011110110100101101001100011101110000010011101101101110011011110011100000001110010100010011100000111101001010111010011011101011000110100111001000011001010010011001010001011001100000100001011000110001110111001001000101101100100111110011101001100101010101011110111111100011001101110100111011000110111001110000110110110010110101001001011101000110110001000110100000011011001011001001111101101101000011101000100001010011100111110001010001001001101111000111110101111100000100100010000001010111100001101101001000010111010010011111111001000110011100001001101100000001111101110000100101001011011011100010001001101010011011100001100100100010001101010100100001100010011100010110011101101100010010000000001110001011011000011110011011010001000111101101010101100001110101101101001111100001111011111010100001100111000000100111000111011110001111011010010100101011001011110100110011010001101000101111011110110011000011110011100001000001110111110000011001011110011011111011000001110100001001001001101100011000111111010000010010101000111010010001100110111000010101000111001001000100100000011001000111010111011111010000101001011100111111000001111100111010111100011001000010010110101110101101000111100011001000110100111010100000100001111000110101101001011000000100011001111000000110100101000110111011000111100101010101100000100110010010001100001011100000110101111100111100100001010111000001011100001111101111010111110111010100001010110010001101110001011001100110010110111011001000011000100111101110111111001011100000100011110001100100110010101100000101100111111101000001100111000010100000011111100110100001011010100010101011111110101011011111010101000001101110111110011000101101100011010110111011011001010000001011010011100010010110001101110010000101110110000100010010111010100000001101111111011101110010000100111010110100100000100011111101100000101010000111111100000100011111011110110000001100100101101010100010000011101001110100100110001010000100100010001011100111110110110110010010010000000111100001000010111010011110100110110010101111101011010100110110101101101111110111001001110101101001110101000111011111111010111011110111111110101011011000110000100110011010111000101110001010010111111011101011010011000101110000010011011101101010001010100100011100001001100011010000100111001010111110011111011111101101110010100011111110110000001010110110110000001001010010011011001000101100011110001100010110010101111011001110010000111110101100010110010100100110100100011101001000011111101011011000011110101111000000111001101011101101001010000001100011010011010111101100011101111010010100001101000101110110111000100001010100010111011111011001100110100011010110100100100101100100110110101010010011100011010111000110110101101110010010001101100101000101111110110111111100101000100101011000011101111001010111111001001011110001010101110110011100010000011000100011110110110001100001001010111111100101110011010000000111011001000010111111100111111000000111000001001001011001010001010101010010000000110101110110110000110010100010011010000011000110101001010100000101100010000001010111010000001011100110101100010110010110010001000110111101110000001101110101001101111010110001010010001101010010101010100110011110111101000010011111100100111010001101101100000101010111000010010000011111101011001000000101110011101001011001010111011011111011110101111010000010100100110100011100011110100010011110110110000110000010010101010110010010011011100010110111001000101000011111110110111000010100000000111111001100000000110111110011101110011001110111101000101011101011010101110000010101100111110111110010111110000101011010011100011001110101011101111100101111000110110000100100111111011110110111101010001001011100101001100011110010111001010000011110100010011100111101010111110010100111000011101100111001101101110000001100111100111010110010111000100011000110111111010111100100010010111101111100101111100001001000011010010010111111100001000110100001001001000011001000011111110111111101111000001010001110110100011101110100001111000001110101111101101110101111111010010000101000111111001001000101010011110000100100100110111011001101000001111001111110110001001100001011101101000100011100101001110001000100100110110101000100001100110011011100011011100000111111110110111101111111110111111010001000101100010011000001000001100010110000011110110111100010001000011110000101101110100100100100010001101011110111011010010111010110110110100101111110110101110000000001100111000100111110100010010011101011100001010000101110110001110110101111110110000110001001010111011100001000101000011000101111110000011010000110100111011001101110110111010100000010110100000100000111101010010001100111110011110110101111110110101101001000111100010011011110011011101110010110010110001001100010101110001011100011000101110101110100110011110100001001000001001011001001011111011001000001001000001100101101000010011101000001010111111100101011110110010100000001101101001101010010110100010101100110100001011101010110001001110001010111010110100111011100110011111100010111101101101000101000000100110101101010001010110000110100100001101011011010100001111101001000011011011110010011010010111011110010000110111011000010101100011111101011100100010111011110110111101111111111110000010000111000111010101001101000100111010001110110101010001010110000111111011000111001011011110000010001100101111110011101010110110110000110101111110010111001001001100111111100010111001001100100100101001011111110000101000110110000011011001000010100010110101111000111111011010011010111000101111111101001011100011010000110010010101000111001110111110101111101010001100011011011010110100110001000000010101001110001001000111001010001110101011110110110001111010100001000111000100001000111000110110001110100100101110001010000101110001101001000101101010110111111101110111011111111001100101111111110011001001110110000101110101001010010000110001101010110001110010100001100111100011111011010001100111010110001111011001001001100111111111110000100110111000110000100000100111010101011110001111111100100100111100000000010111110111110101011111100000100000011110101010111110100111111011111101001010010001101111101111100011001101001001101100110000100111010111011101011001010000001011010100001100101110111101011000000010101100110010010001110010100001100010100000111100100000101111101100010010010000110011010110010001011011111000101110100110111001011011000100000111001001110110101110110101001000111000000100111100111100011001011111101011111101011011010100010101011101001100110110010100011000100110000101010001001101001101001100000001011110011101011010100010000011010011101111000110011000011111111011011100001111110110010101111011011000000101000011011010110000000101101111111000011111000000110101001101011110000111010111000100001001100111100100101011101010010010110101001011000011110111110100111100101000011111010100110011100101110010011011011101001111100100101010011110101000010100101000101101100010000100100101000111001001101101010001010011010011000010100011011000101001110100101100100011101000111000011111111011101011100110101001111101110110001111010100001111001100010111101110000111100100110001000110010100000110110001011000001010100100010100001110000000011111010100100010000111101011011101010101000100000000001000000011011111101111010111100010001010100110011100010100100101010110101110010111001111011100110110000111110100101011000110101010110000111111111100010111100111011000101000000110100000011001010000101011111001100000111011010010101011011110001000011011011111110111101101011111010000100011011110010001010110001011000000111011000110000100111110111111111111010000100001110000110001101011001110000010100100011010101000100011010111111001100011100111101111011100100000101010001100100110000110100001100001111000101110010000000010111110001010110100100010110010100000010001111101011110011010101110100000001111111001101011110000001101100001010001011011100110010011111101011110001000001110101001011001111101100001001101010010100000000001011010001000101000011011001100001110011000110110010111100000011010101010000011001011000100010011101010101110001010000000010111000110000110000011011001011000101101111111011111111111101001110110100001100101011110001010011111111000100011010111000010110011010001100010101101110000110011000100101001110110100001010101001000100101101001011111110110101111100001000011001101000010110111010101100001111001101001010110010010011011110100011111010100000110010100000100000011110000111111101100111111010100100011110110101100101011001000011111010110110100000110001010110101110111100110010011010101111011101101100110001101001011000000100010110110010010001110010110001111001010001011110010111011011010110001010101001011110111110101010100010111100010100011000011110001110110001000001001010110011101010001010110000011100000010010001110101111100101110000100111000011111111100010011011101001100111111001010001001110001101101001001111011100011000000110110111100111011110000101010001111010010100110010100110111000110010011110110000010111101001010110011000000000100100011001001011001000110101000110000111101100011001110001011001100001011101000110000101110001110010101110011111100111010010111001000111011101011101101011000100110101110110100101101100110000001011100110110000111001011011000111101010001111111010100111101001101010011000011000000001101010111101100101001001001001101000101101101101010100110101111111001110011110101100101101010110010000100001000000010111010100010001100111110101010100000111101000100000011000010010001000011101010000111101110010100000100001001101100011000100110101000001001001110101011010000001001001010100011000011010110011100111110111001101110010101011100011110100111100110010001000111001010001001010011100000111000101000010011011101110101100101010000110000111001100111001010000011001010010101010000100111010010101101110011110100111001011111110100001011010000101000110110011001101000010001100000011101101010001111110001111110110000010001101111101011110011100101000000111010011011001101010010111100001111100000001100000110110101111011110101101000111101010101111001111111111010111000010001000101100110001011101101111011000101001010101010111111011100100000101011110011011001101111100110011011100111000100001101111100110101111000001110101101000111011011101001010111100001010101001010100001000110001100110101101011100111100011010011110111011100010001001001110011011110000100011001001100010111001001000011010010111010000001101000001011100001001000101110010100100010111000100010100010000010000110100101110101011110011111100011111101010110011000101110101100111011010100010101100011110110110011011101110000011011001100001111100000011111101000000100011101110000100000001110010111111100100000001001011000011111100010001011011010110000111101110000001100001001111111100110100000010110111011001100000100100011100111011111011000111011110101001000111111001100010100100100110001100000100011000000011010001111010101011100100111011101101010010100011101001110100001010001100100101100111011101110110110011111110011010000100101101110101110101111001111110111111101011101011110111000010000100010101100010000110100010101000001010101111111100011111001001110000100101101010101000100001100011100001110100010101011110001110110111010101110010001001100010111000111011001000001101110110000100001001111010010111110101010111010111100110011101100101100100110001100000011011100100010001111011001000000101000011011000010000000000001011011011111101110100010100101000110100001000001001101001100111010010011110110000001000111000110010101111110000111111101111001010010101010010101111010111100100010101101001000011110100100010101110000001010011111000010101010001110101110101001101011111111100001101011001010010011011100110001100001111000010000100001000011011101100000111001110010001001110111000110110100000010011001000101101100101111100101010000110111111100111111100011010011110111100010000000111110110010110101101101111110010001000100000001010011100001001110001100001000000110111011110111010110001011110010111010110001110110110111010101110110010101010010011111000111110001110011000101111010010010110010011011111011111010100011000011001110000101011010101111001001100011001000101011000100110110010010010010111100010110100110011010110100110110010100100111000010101011000010101000001111010001111001111000000111001010100101010010000101111001101001101111011100100111111000010100101111000100000001111101000001101100010000000101111000111000001111110101111110110101101101010001110100111011100101101100111111010011111110101010111111010110000111011010111111011010101100000110010101111001011001110011011100000111000111100011101111000101101110011001010111011010000001010110101001111011010011001010101011000001110000100100111000101110001111110111101110100101110101111111110101000000110111111011100010010001101011001010111110010101111110001100011011111001100110100110111100111010010000011011011110010010000101011110100101110100111100000111000011101011010011001111000101010001000011011011001010000011000011011100100100011000010011011001100101100101101000100001011111001011110101001000000100111000001011100111110011001001100011000101110001001000110100000110000001010110110100101110011111100111000010111011110011011001110011010010110000101010101000011100001110111011100011010111111001111101000101100100110110111100011111101001010001011110000000011110010110001011001001110010101011001011011010110000111111101100011010100110010110110110111000100100111111100111000000110000111111001111001011011000011010100000011100110110110000110101001110000111101001101010010011100000011100011110000101101101111001100110011011000011000011000111111001011001111010100000111011011001000011110000011001010100010101101010111100110011100001001001001000011111001011011101010000010101111010000011010000001011000011011000110010011110011101011111000010010100100011100000100001110111100010111110100111001001101000010010001011010101001110010010111010100101101011010111010010101111001011010110101100111100111100101001000101011100000110101000000110111010101010101010111110101101100111100110010110000011110101010100110110011001000001010110001111011001100011000000110101110100100110011110010001011001000101000000110010111111100111101100010001001110010011001111011101111010000110101110100000001000110011010100101110110000100001100011000010111001100100110101010100000101000100011111101110001111000101010100001001101001110111010110110101100000110011011110101110010100000111110001111111011010010010110111010110101000101001110111001001110111010100100000010110011011100010101010101010001011010110011111011001011000111010110010000000111011000100100011100110111011011101110100110001010100110101010001100001101000100100000001000100100100000000100111111111010011000001100011101100100100010001000110110011110011001100110000010000000010010001111111011000111110111110110001010010101111010011111111000011111101001111110101000101101010011000011001001001001101001001010101100010010110101101101000100000011101111100100001100111010010101111110111110011101101001110110011101001010101000101000101011001100101000000011011001100011111011101110101100111111101111111001111111101011111110101110111010110011101010110101100100111000000110000100010100110001111111000100011011011000011001111000110000010111110111001110101101001011000111111000011100010000000110000001000010011010000101001011011111101111001010101110111001001001011000000000000111110111110011010001100000111101010111101010011000111100111000001110100110111001101010010010100011111110010101010010100110000000011011110001100000011110111100111001111101110000000011110011010011010011101110110111100101111001111100010110110101010110001111000011010000000100111010011110111011010111101111010001101100001101011110110011100100111011110111011011010110100101111101010111000100010001111111111001111101010001010100000110110110010110011001111001101110100010110111100111010001011011000101000010100000101100100000101001010010110010010100100001011010000000011001010001000000010010100010011010110011110010010110110010110010010011110000010010000101101010111101110000111101000010001100001000000111110100011100001111101001101011100011101111011001110001001101011101000011101100001000100010111101110001101010010111111101100001111110110100001001010101110001100011100000000100111011101100001010110101000001010000100010010010111101000111000110110011001111000110100101011000001010001101110101110100000111111101001000011100011011011001110011011010111001001101001110110001001000101101000001111010100001010011111001011101010001100010110010101001110100101001111111000000001100111010100000110011011100110101101110000110010010011001001001000010010110000011011010001111010001000101101000011100000101011010110100101101111101011001010111001010000000100101000000010001011010011000000110110110110100101110111001001110000101110110100111000101011101001001011011001101111011001100110110011110010011010010111100010101001100001101011010100111010010111100100011101011000011000001101000111101100010000010011100100001011000011000111001101001010011011100000010111000111101100101111110011001100111000000011000010111001001110101000010011100011101001111000100111011000001011100111010011001010010111011101101111101100000110011011110100000110001101100110101101100011000001010110001101010101111110100101110000000101100010111010100001000001100000101011110110101011001000111011010101110111010001010011001010010000100110010100111010000011000111000110110100100101110100110010010111100110011111100001011001011000101100011011111011001011100111010111110010011001010110011011000010001001110010100100000000101110111001111000101000001101010010010001110001000001100001011000001101100101111011011010001100110111110010111011000110101011001100111010110110011100100101100000101010010000111111010011000110000010101001001011011100100101000111010011010110010000100010100100101111111001000001101100101001000010111011000100011000010100010010011101101100010100010000010000011101110011100110110101101110100010111000101110111000101000110101001110101110101110011011001010100100001011001010001010101111011111010000101010011001100100011000100110001000001110110100100100101000010111010000101000010000000101011101100110100101001011101111011101010110000100101101111000000100010010000111000001110111010010010001100110100100111000010011100111100000101100010010000000010111010100000010100001000100110100100101110101001010011110100110100111110101100111000100111001100011101100100110000011110001111100010100011011110100010110111111101111111110011110111010011110011110100001001000010010100010111100011010011111110001010111111111010101001010101110101110010100011101111110101100001111011101001010111100101001001110101011011110100011100011000100100110101011010010101011010011111110011010001100000000101101001000000001101110110011010101100111110111011001010111100001000010101101011010001010100001001101101001111101000101011100110010001001110111010111111111100000000100010011000100000001001110111101101001011010011000111011100000100111011011011100110111100111000000011100101000100111000001111010010101110100110111010110001101001110010000110010100100110010100010110011000001000010110001100011101110010010001011011001001111100111010011001010101010111101111111000110011011101001110110001101110011100001101101100101101010010010111010001101100010001101000000110110010110010011111011011010000111010001000010100111001111100010100010010011011110001111101011111000001001000100000010101111000011011010010000101110100100111111110010001100111000010011011000000011111011100001001010010110110111000100010011010100110111000011001001000100011010101001000011000100111000101100111011011000100100000000011100010110110000111100110110100010001111011010101011000011101011011010011111000011110111110101000011001110000001001110001110111100011110110100101001010110010111101001100110100011010001011110111101100110000111100111000010000011101111100000110010111100110111110110000011101000010010010011011000110001111110100000100101010001110100100011001101110000101010001110010010001001000000110010001110101110111110100001010010111001111110000011111001110101111000110010000100101101011101011010001111000110010001101001110101000001000011110001101011010010110000001000110011110000001101001010001101110110001111001010101011000001001100100100011000010111000001101011111001111001000010101110000010111000011111011110101111101110101000010101100100011011100010110011001100101101110110010000110001001111011101111110010111000001000111100011001001100101011000001011001111111010000011001110000101000000111111001101000010110101000101010111111101010110111110101010000011011101111100110001011011000110101101110110110010100000010110100111000100101100011011100100001011101100001000100101110101000000011011111110111011100100001001110101101001000001000111111011000001010100001111111000001000111110111101100000011001001011010101000100000111010011101001001100010100001001000100010111001111101101101100100100100000001111000010000101110100111101001101100101011111010110101001101101011011011111101110010011101011010011101010001110111111110101110111101111111101010110110001100001001100110101110001011100010100101111110111010110100110001011100000100110111011010100010101001000111000010011000110100001001110010101111100111110111111011011100101000111111101100000010101101101100000010010100100110110010001011000111100011000101100101011110110011100100001111101011000101100101001001101001000111010010000111111010110110000111101011110000001110011010111011010010100000011000110100110101111011000111011110100101000011010001011101101110001000010101000101110111110110011001101000110101101001001001011001001101101010100100111000110101110001101101011011100100100011011001010001011111101101111111001010001001010110000111011110010101111110010010111100010101011101100111000100000110001000111101101100011000010010101111111001011100110100000001110110010000101111111001111110000001110000010010010110010100010101010100100000001101011101101100001100101000100110100000110001101010010101000001011000100000010101110100000010111001101011000101100101100100010001101111011100000011011101010011011110101100010100100011010100101010101001100111101111010000100111111001001110100011011011000001010101110000100100000111111010110010000001011100111010010110010101110110111110111101011110100000101001001101000111000111101000100111101101100001100000100101010101100100100110111000101101110010001010000111111101101110000101000000001111110011000000001101111100111011100110011101111010001010111010110101011100000101011001111101111100101111100001010110100111000110011101010111011111001011110001101100001001001111110111101101111010100010010111001010011000111100101110010100000111101000100111001111010101111100101001110000111011001110011011011100000011001111001110101100101110001000110001101111110101111001000100101111011111001011111000010010000110100100101111111000010001101000010010010000110010000111111101111111011110000010100011101101000111011101000011110000011101011111011011101011111110100100001010001111110010010001010100111100001001001001101110110011010000011110011111101100010011000010111011010001000111001010011100010001001001101101010001000011001100110111000110111000001111111101101111011111111101111110100010001011000100110000010000011000101100000111101101111000100010000111100001011011101001001001000100011010111101110110100101110101101101101001011111101101011100000000011001110001001111101000100100111010111000010100001011101100011101101011111101100001100010010101110111000010001010000110001011111100000110100001101001110110011011101101110101000000101101000001000001111010100100011001111100111101101011111101101011010010001111000100110111100110111011100101100101100010011000101011100010111000110001011101011101001100111101000010010000010010110010010111110110010000010010000011001011010000100111010000010101111111001010111101100101000000011011010011010100101101000101011001101000010111010101100010011100010101110101101001110111001100111111000101111011011010001010000001001101011010100010101100001101001000011010110110101000011111010010000110110111100100110100101110111100100001101110110000101011000111111010111001000101110111101101111011111111111100000100001110001110101010011010001001110100011101101010100010101100001111110110001110010110111100000100011001011111100111010101101101100001101011111100101110010010011001111111000101110010011001001001010010111111100001010001101100000110110010000101000101101011110001111110110100110101110001011111111010010111000110100001100100101010001110011101111101011111010100011000110110110101101001100010000000101010011100010010001110010100011101010111101101100011110101000010001110001000010001110001101100011101001001011100010100001011100011010010001011010101101111111011101110111111110011001011111111100110010011101100001011101010010100100001100011010101100011100101000011001111000111110110100011001110101100011110110010010011001111111111100001001101110001100001000001001110101010111100011111111001001001111000000000101111101111101010111111000001000000111101010101111101001111110111111010010100100011011111011111000110011010010011011001100001001110101110111010110010100000010110101000011001011101111010110000000101011001100100100011100101000011000101000001111001000001011111011000100100100001100110101100100010110111110001011101001101110010110110001000001110010011101101011101101010010001110000001001111001111000110010111111010111111010110110101000101010111010011001101100101000110001001100001010100010011010011010011000000010111100111010110101000100000110100111011110001100110000111111110110111000011111101100101011110110110000001010000110110101100000001011011111110000111110000001101010011010111100001110101110001000010011001111001001010111010100100101101010010110000111101111101001111001010000111110101001100111001011100100110110111010011111001001010100111101010000101001010001011011000100001001001010001110010011011010100010100110100110000101000110110001010011101001011001000111010001110000111111110111010111001101010011111011101100011110101000011110011000101111011100001111001001100010001100101000001101100010110000010101001000101000011100000000111110101001000100001111010110111010101010001000000000010000000110111111011110101111000100010101001100111000101001001010101101011100101110011110111001101100001111101001010110001101010101100001111111111000101111001110110001010000001101000000110010100001010111110011000001110110100101010110111100010000110110111111101111011010111110100001000110111100100010101100010110000001110110001100001001111101111111111110100001000011100001100011010110011100000101001000110101010001000110101111110011000111001111011110111001000001010100011001001100001101000011000011110001011100100000000101111100010101101001000101100101000000100011111010111100110101011101000000011111110011010111100000011011000010100010110111001100100111111010111100010000011101010010110011111011000010011010100101000000000010110100010001010000110110011000011100110001101100101111000000110101010100000110010110001000100111010101011100010100000000101110001100001100000110110010110001011011111110111111111111010011101101000011001010111100010100111111110001000110101110000101100110100011000101011011100001100110001001010011101101000010101010010001001011010010111111101101011111000010000110011010000101101110101011000011110011010010101100100100110111101000111110101000001100101000001000000111100001111111011001111110101001000111101101011001010110010000111110101101101000001100010101101011101111001100100110101011110111011011001100011010010110000001000101101100100100011100101100011110010100010111100101110110110101100010101010010111101111101010101000101111000101000110000111100011101100010000010010101100111010100010101100000111000000100100011101011111001011100001001110000111111111000100110111010011001111110010100010011100011011010010011110111000110000001101101111001110111100001010100011110100101001100101001101110001100100111101100000101111010010101100110000000001001000110010010110010001101010001100001111011000110011100010110011000010111010001100001011100011100101011100111111001110100101110010001110111010111011010110001001101011101101001011011001100000010111001101100001110010110110001111010100011111110101001111010011010100110000110000000011010101111011001010010010010011010001011011011010101001101011111110011100111101011001011010101100100001000010000000101110101000100011001111101010101000001111010001000000110000100100010000111010100001111011100101000001000010011011000110001001101010000010010011101010110100000010010010101000110000110101100111001111101110011011100101010111000111101001111001100100010001110010100010010100111000001110001010000100110111011101011001010100001100001110011001110010100000110010100101010100001001110100101011011100111101001110010111111101000010110100001010001101100110011010000100011000000111011010100011111100011111101100000100011011111010111100111001010000001110100110110011010100101111000011111000000011000001101101011110111101011010001111010101011110011111111110101110000100010001011001100010111011011110110001010010101010101111110111001000001010111100110110011011111001100110111001110001000011011111001101011110000011101011010001110110111010010101111000010101010010101000010001100011001101011010111001111000110100111101110111000100010010011100110111100001000110010011000101110010010000110100101110100000011010000010111000010010001011100101001000101110001000101000100000100001101001011101010111100111111000111111010101100110001011101011001110110101000101011000111101101100110111011100000110110011000011111000000111111010000001000111011100001000000011100101111111001000000010010110000111111000100010110110101100001111011100000011000010011111111001101000000101101110110011000001001000111001110111110110001110111101010010001111110011000101001001001100011000001000110000000110100011110101010111001001110111011010100101000111010011101000010100011001001011001110111011101101100111111100110100001001011011101011101011110011111101111111010111010111101110000100001000101011000100001101000101010000010101011111111000111110010011100001001011010101010001000011000111000011101000101010111100011101101110101011100100010011000101110001110110010000011011101100001000010011110100101111101010101110101111001100111011001011001001100011000000110111001000100011110110010000001010000110110000100000000000010110110111111011101000101001010001101000010000010011010011001110100100111101100000010001110001100101011111100001111111011110010100101010100101011110101111001000101011010010000111101001000101011100000010100111110000101010100011101011101010011010111111111000011010110010100100110111001100011000011110000100001000010000110111011000001110011100100010011101110001101101000000100110010001011011001011111001010100001101111111001111111000110100111101111000100000001111101100101101011011011111100100010001000000010100111000010011100011000010000001101110111101110101100010111100101110101100011101101101110101011101100101010100100111110001111100011100110001011110100100101100100110111110111110101000110000110011100001010110101011110010011000110010001010110001001101100100100100101111000101101001100110101101001101100101001001110000101010110000101010000011110100011110011110000001110010101001010100100001011110011010011011110111001001111110000101001011110001000000011111010000011011000100000001011110001110000011111101011111101101011011010100011101001110111001011011001111110100111111101010101111110101100001110110101111110110101011000001100101011110010110011100110111000001110001111000111011110001011011100110010101110110100000010101101010011110110100110010101010110000011100001001001110001011100011111101111011101001011101011111111101010000001101111110111000100100011010110010101111100101011111100011000110111110011001101001101111001110100100000110110111100100100001010111101001011101001111000001110000111010110100110011110001010100010000110110110010100000110000110111001001000110000100110110011001011001011010001000010111110010111101010010000001001110000010111001111100110010011000110001011100010010001101000001100000010101101101001011100111111001110000101110111100110110011100110100101100001010101010000111000011101110111000110101111110011111010001011001001101101111000111111010010100010111100000000111100101100010110010011100101010110010110110101100001111111011000110101001100101101101101110001001001111111001110000001100001111110011110010110110000110101000000111001101101100001101010011100001111010011010100100111000000111000111100001011011011110011001100110110000110000110001111110010110011110101000001110110110010000111100000110010101000101011010101111001100111000010010010010000111110010110111010100000101011110100000110100000010110000110110001100100111100111010111110000100101001000111000001000011101111000101111101001110010011010000100100010110101010011100100101110101001011010110101110100101011110010110101101011001111001111001010010001010111000001101010000001101110101010101010101111101011011001111001100101100000111101010101001101100110010000010101100011110110011000110000001101011101001001100111100100010110010001010000001100101111111001111011000100010011100100110011110111011110100001101011101000000010001100110101001011101100001000011000110000101110011001001101010101000001010001000111111011100011110001010101000010011010011101110101101101011000001100110111101011100101000001111100011111110110100100101101110101101010001010011101110010011101110101001000000101100110111000101010101010100010110101100111110110010110001110101100100000001110110001001000111001101110110111011101001100010101001101010100011000011010001001000000010001001001000000001001111111110100110000011000111011001001000100010001101100111100110011001100000100000000100100011111110110001111101111101100010100101011110100111111110000111111010011111101010001011010100110000110010010010011010010010101011000100101101011011010001000000111011111001000011001110100101011111101111100111011010011101100111010010101010001010001010110011001010000000110110011000111110111011101011001111111011111110011111111010111111101011101110101100111010101101011001001110000001100001000101001100011111110001000110110110000110011110001100000101111101110011101011010010110001111110000111000100000001100000010000100110100001010010110111111011110010101011101110010010010110000000000001111101111100110100011000001111010101111010100110001111001110000011101001101110011010100100101000111111100101010100101001100000000110111100011000000111101111001110011111011100000000111100110100110100111011101101111001011110011111000101101101010101100011110000110100000001001110100111101110110101111011110100011011000011010111101100111001001110111101110110110101101001011111010101110001000100011111111110011111010100010101000001101101100101100110011110011011101000101101111001110100010110110001010000101000001011001000001010010100101100100101001000010110100000000110010100010000000100101000100110101100111100100101101100101100100100111100000100100001011010101111011100001111010000100011000010000001111101000111000011111010011010111000111011110110011100010011010111010000111011000010001000101111011100011010100101111111011000011111101101000010010101011100011000111000000001001110111011000010101101010000010100001000100100101111010001110001101100110011110001101001010110000010100011011101011101000001111111010010000111000110110110011100110110101110010011010011101100010010001011010000011110101000010100111110010111010100011000101100101010011101001010011111110000000011001110101000001100110111001101011011100001100100100110010010010000100101100000110110100011110100010001011010000111000001010110101101001011011111010110010101110010100000001001010000000100010110100110000001101101101101001011101110010011100001011101101001110001010111010010010110110011011110110011001101100111100100110100101111000101010011000011010110101001110100101111001000111010110000110000011010001111011000100000100111001000010110000110001110011010010100110111000000101110001111011001011111100110011001110000000110000101110010011101010000100111000111010011110001001110110000010111001110100110010100101110111011011111011000001100110111101000001100011011001101011011000110000010101100011010101011111101001011100000001011000101110101000010000011000001010111101101010110010001110110101011101110100010100110010100100001001100101001110100000110001110001101101001001011101001100100101111001100111111000010110010110001011000110111110110010111001110101111100100110010101100110110000100010011100101001000000001011101110011110001010000011010100100100011100010000011000010110000011011001011110110110100011001101111100101110110001101010110011001110101101100111001001011000001010100100001111110100110001100000101010010010110111001001010001110100110101100100001000101001001011111110010000011011001010010000101110110001000110000101000100100111011011000101000100000100000111011100111001101101011011101000101110001011101110001010001101010011101011101011100110110010101001000010110010100010101011110111110100001010100110011001000110001001100010000011101101001001001010000101110100001010000100000001010111011001101001010010111011110111010101100001001011011110000001000100100001110000011101110100100100011001101001001110000100111001111000001011000100100000000101110101000000101000010001001101001001011101010010100111101001101001111101011001110001001110011000111011001001100000111100011111000101000110111101000101101111111011111111100111101110100111100111101000010010000100101000101111000110100111111100010101111111110101010010101011101011100101000111011111101011000011110111010010101111001010010011101010110111101000111000110001001001101010110100101010110100111111100110100011000000001011010010000000011011101100110101011001111101110110010101111000010000101011010110100010101000010011011010011111010001010111001100100010011101110101111111111000000001000100110001000000010011101111011010010110100110001110111000001001110110110111001101111001110000000111001010001001110000011110100101011101001101110101100011010011100100001100101001001100101000101100110000010000101100011000111011100100100010110110010011111001110100110010101010101111011111110001100110111010011101100011011100111000011011011001011010100100101110100011011000100011010000001101100101100100111110110110100001110100010000101001110011111000101000100100110111100011111010111110000010010001000000101011110000110110100100001011101001001111111100100011001110000100110110000000111110111000010010100101101101110001000100110101001101110000110010010001000110101010010000110001001110001011001110110110001001000000000111000101101100001111001101101000100011110110101010110000111010110110100111110000111101111101010000110011100000010011100011101111000111101101001010010101100101111010011001101000110100010111101111011001100001111001110000100000111011111000001100101111001101111101100000111010000100100100110110001100011111101000001001010100011101001000110011011100001010100011100100100010010000001100100011101011101111101000010100101110011111100000111110011101011110001100100001001011010111010110100011110001100100011010011101010000010000111100011010110100101100000010001100111100000011010010100011011101100011110010101010110000010011001001000110000101110000011010111110011110010000101011100000101110000111110111101011111011101010000101011001000110111000101100110011001011011101100100001100010011110111011111100101110000010001111000110010011001010110000010110011111110100000110011100001010000001111110011010000101101010001010101111111010101101111101010100000110111011111001100010110110001101011011101101100101000000101101001110001001011000110111001000010111011000010001001011101010000000110111111101110111001000010011101011010010000010001111110110000010101000011111110000010001111101111011000000110010010110101010001000001110100111010010011000101000010010001000101110011111011011011001001001000000011110000100001011101001111010011011001010111110101101010011011010110110111111011100100111010110100111010100011101111111101011101111011111111010101101100011000010011001101011100010111000101001011111101110101101001100010111000001001101110110101000101010010001110000100110001101000010011100101011111001111101111110110111001010001111111011000000101011011011000000100101001001101100100010110001111000110001011001010111101100111001000011111010110001011001010010011010010001110100100001111110101101100001111010111100000011100110101110110100101000000110001101001101011110110001110111101001010000110100010111011011100010000101010001011101111101100110011010001101011010010010010110010011011010101001001110001101011100011011010110111001001000110110010100010111111011011111110010100010010101100001110111100101011111100100101111000101010111011001110001000001100010001111011011000110000100101011111110010111001101000000011101100100001011111110011111100000011100000100100101100101000101010101001000000011010111011011000011001010001001101000001100011010100101010000010110001000000101011101000000101110011010110001011001011001000100011011110111000000110111010100110111101011000101001000110101001010101010011001111011110100001001111110010011101000110110110000010101011100001001000001111110101100100000010111001110100101100101011101101111101111010111101000001010010011010001110001111010001001111011011000011000001001010101011001001001101110001011011100100010100001111111011011100001010000000011111100110000000011011111001110111001100111011110100010101110101101010111000001010110011111011111001011111000010101101001110001100111010101110111110010111100011011000010010011111101111011011110101000100101110010100110001111001011100101000001111010001001110011110101011111001010011100001110110011100110110111000000110011110011101011001011100010001100011011111101011110010001001011110111110010111110000100100001101001001011111110000100011010000100100100001100100001111111011111110111100000101000111011010001110111010000111100000111010111110110111010111111101001000010100011111100100100010101001111000010010010011011101100110100000111100111111011000100110000101110110100010001110010100111000100010010011011010100010000110011001101110001101110000011111111011011110111111111011111101000100010110001001100000100000110001011000001111011011110001000100001111000010110111010010010010001000110101111011101101001011101011011011010010111111011010111000000000110011100010011111010001001001110101110000101000010111011000111011010111111011000011000100101011101110000100010100001100010111111000001101000011010011101100110111011011101010000001011010000010000011110101001000110011111001111011010111111011010110100100011110001001101111001101110111001011001011000100110001010111000101110001100010111010111010011001111010000100100000100101100100101111101100100000100100000110010110100001001110100000101011111110010101111011001010000000110110100110101001011010001010110011010000101110101011000100111000101011101011010011101110011001111110001011110110110100010100000010011010110101000101011000011010010000110101101101010000111110100100001101101111001001101001011101111001000011011101100001010110001111110101110010001011101111011011110111111111111000001000011100011101010100110100010011101000111011010101000101011000011111101100011100101101111000001000110010111111001110101011011011000011010111111001011100100100110011111110001011100100110010010010100101111111000010100011011000001101100100001010001011010111100011111101101001101011100010111111110100101110001101000011001001010100011100111011111010111110101000110001101101101011010011000100000001010100111000100100011100101000111010101111011011000111101010000100011100010000100011100011011000111010010010111000101000010111000110100100010110101011011111110111011101111111100110010111111111001100100111011000010111010100101001000011000110101011000111001010000110011110001111101101000110011101011000111101100100100110011111111111000010011011100011000010000010011101010101111000111111110010010011110000000001011111011111010101111110000010000001111010101011111010011111101111110100101001000110111110111110001100110100100110110011000010011101011101110101100101000000101101010000110010111011110101100000001010110011001001000111001010000110001010000011110010000010111110110001001001000011001101011001000101101111100010111010011011100101101100010000011100100111011010111011010100100011100000010011110011110001100101111110101111110101101101010001010101110100110011011001010001100010011000010101000100110100110100110000000101111001110101101010001000001101001110111100011001100001111111101101110000111111011001010111101101100000010100001101101011000000010110111111100001111100000011010100110101111000011101011100010000100110011110010010101110101001001011010100101100001111011111010011110010100001111101010011001110010111001001101101110100111110010010101001111010100001010010100010110110001000010010010100011100100110110101000101001101001100001010001101100010100111010010110010001110100011100001111111101110101110011010100111110111011000111101010000111100110001011110111000011110010011000100011001010000011011000101100000101010010001010000111000000001111101010010001000011110101101110101010100010000000000100000001101111110111101011110001000101010011001110001010010010101011010111001011100111101110011011000011111010010101100011010101011000011111111110001011110011101100010100000011010000001100101000010101111100110000011101101001010101101111000100001101101111111011110110101111101000010001101111001000101011000101100000011101100011000010011111011111111111101000010000111000011000110101100111000001010010001101010100010001101011111100110001110011110111101110010000010101000110010011000011010000110000111100010111001000000001011111000101011010010001011001010000001000111110101111001101010111010000000111111100110101111000000110110000101000101101110011001001111110101111000100000111010100101100111110110000100110101001010000000000101101000100010100001101100110000111001100011011001011110000001101010101000001100101100010001001110101010111000101000000001011100011000011000001101100101100010110111111101111111111110100111011010000110010101111000101001111111100010001101011100001011001101000110001010110111000011001100010010100111011010000101010100100010010110100101111111011010111110000100001100110100001011011101010110000111100110100101011001001001101111010001111101010000011001010000010000001111000011111110110011111101010010001111011010110010101100100001111101011011010000011000101011010111011110011001001101010111101110110110011000110100101100000010001011011001001000111001011000111100101000101111001011101101101011000101010100101111011111010101010001011110001010001100001111000111011000100000100101011001110101000101011000001110000001001000111010111110010111000010011100001111111110001001101110100110011111100101000100111000110110100100111101110001100000011011011110011101111000010101000111101001010011001010011011100011001001111011000001011110100101011001100000000010010001100100101100100011010100011000011110110001100111000101100110000101110100011000010111000111001010111001111110011101001011100100011101110101110110101100010011010111011010010110110011000000101110011011000011100101101100011110101000111111101010011110100110101001100001100000000110101011110110010100100100100110100010110110110101010011010111111100111001111010110010110101011001000010000100000001011101010001000110011111010101010000011110100010000001100001001000100001110101000011110111001010000010000100110110001100010011010100000100100111010101101000000100100101010001100001101011001110011111011100110111001010101110001111010011110011001000100011100101000100101001110000011100010100001001101110111010110010101000011000011100110011100101000001100101001010101000010011101001010110111001111010011100101111111010000101101000010100011011001100110100001000110000001110110101000111111000111111011000001000110111110101111001110010100000011101001101100110101001011110000111110000000110000011011010111101111010110100011110101010111100111111111101011100001000100010110011000101110110111101100010100101010101011111101110010000010101111001101100110111110011001101110011100010000110111110011010111100000111010110100011101101110100101011110000101010100101010000100011000110011010110101110011110001101001111011101110001000100100111001101111000010001100100110001011100100100001101001011101000000110100000101110000100100010111001010010001011100010001010001000001000011010010111010101111001111110001111110101011001100010111010110011101101010001010110001111011011001101110111000001101100110000111110000001111110100000010001110111000010000000111001011111110010000000100101100001111110001000101101101011000011110111000000110000100111111110011010000001011011101100110000010010001110011101111101100011101111010100100011111100110001010010010011000110000010001100000001101000111101010101110010011101110110101001010001110100111010000101000110010010110011101110111011011001111111001101000010010110111010111010111100111111011111110101110101111011100001000010001010110001000011010001010100000101010111111110001111100100111000010010110101010100010000110001110000111010001010101111000111011011101010111001000100110001011100011101100100000110111011000010000100111101001011111010101011101011110011001110110010110010011000110000001101110010001000111101100100000010100001101100001000000000000101101101111110111010001010010100011010000100000100110100110011101001001111011000000100011100011001010111111000011111110111100101001010101001010111101011110010001010110100100001111010010001010111000000101001111100001010101000111010111010100110101111111110000110101100101001001101110011000110000111100001000010000100001101110110000011100111001000100111011100011011010000001001100100010110110010111110010101000011011111110011111110001101001111011110001000000011111011001011010110110111111001000100010000000101001110000100111000110000100000011011101111011101011000101111001011101011000111011011011101010111011001010101001001111100011111000111001100010111101001001011001001101111101111101010001100001100111000010101101010111100100110001100100010101100010011011001001001001011110001011010011001101011010011011001010010011100001010101100001010100000111101000111100111100000011100101010010101001000010111100110100110111101110010011111100001010010111100010000000111110100000110110001000000010111100011100000111111010111111011010110110101000111010011101110010110110011111101001111111010101011111101011000011101101011111101101010110000011001010111100101100111001101110000011100011110001110111100010110111001100101011101101000000101011010100111101101001100101010101100000111000010010011100010111000111111011110111010010111010111111111010100000011011111101110001001000110101100101011111001010111111000110001101111100110011010011011110011101001000001101101111001001000010101111010010111010011110000011100001110101101001100111100010101000100001101101100101000001100001101110010010001100001001101100110010110010110100010000101111100101111010100100000010011100000101110011111001100100110001100010111000100100011010000011000000101011011010010111001111110011100001011101111001101100111001101001011000010101010100001110000111011101110001101011111100111110100010110010011011011110001111110100101000101111000000001111001011000101100100111001010101100101101101011000011111110110001101010011001011011011011100010010011111110011100000011000011111100111100101101100001101010000001110011011011000011010100111000011110100110101001001110000001110001111000010110110111100110011001101100001100001100011111100101100111101010000011101101100100001111000001100101010001010110101011110011001110000100100100100001111100101101110101000001010111101000001101000000101100001101100011001001111001110101111100001001010010001110000010000111011110001011111010011100100110100001001000101101010100111001001011101010010110101101011101001010111100101101011010110011110011110010100100010101110000011010100000011011101010101010101011111010110110011110011001011000001111010101010011011001100100000101011000111101100110001100000011010111010010011001111001000101100100010100000011001011111110011110110001000100111001001100111101110111101000011010111010000000100011001101010010111011000010000110001100001011100110010011010101010000010100010001111110111000111100010101010000100110100111011101011011010110000011001101111010111001010000011111000111111101101001001011011101011010100010100111011100100111011101010010000001011001101110001010101010101000101101011001111101100101100011101011001000000011101100010010001110011011101101110111010011000101010011010101000110000110100010010000000100010010010000000010011111111101001100000110001110110010010001000100011011001111001100110011000001000000001001000111111101100011111011111011000101001010111101001111111100001111110100111111010100010110101001100001100100100100110100100101010110001001011010110110100010000001110111110010000110011101001010111111011111001110110100111011001110100101010100010100010101100110010100000001101100110001111101110111010110011111110111111100111111110101111111010111011101011001110101011010110010011100000011000010001010011000111111100010001101101100001100111100011000001011111011100111010110100101100011111100001110001000000011000000100001001101000010100101101111110111100101010111011100100100101100000000000011111011111001101000110000011110101011110101001100011110011100000111010011011100110101001001010001111111001010101001010011000000001101111000110000001111011110011100111110111000000001111001101001101001110111011011110010111100111110001011011010101011000111100001101000000010011101001111011101101011110111101000110110000110101111011001110010011101111011101101101011010010111110101011100010001000111111111100111110101000101010000011011011001011001100111100110111010001011011110011101000101101100010100001010000010110010000010100101001011001001010010000101101000000001100101000100000001001010001001101011001111001001011011001011001001001111000001001000010110101011110111000011110100001000110000100000011111010001110000111110100110101110001110111101100111000100110101110100001110110000100010001011110111000110101001011111110110000111111011010000100101010111000110001110000000010011101110110000101011010100000101000010001001001011110100011100011011001100111100011010010101100000101000110111010111010000011111110100100001110001101101100111001101101011100100110100111011000100100010110100000111101010000101001111100101110101000110001011001010100111010010100111111100000000110011101010000011001101110011010110111000011001001001100100100100001001011000001101101000111101000100010110100001110000010101101011010010110111110101100101011100101000000010010100000001000101101001100000011011011011010010111011100100111000010111011010011100010101110100100101101100110111101100110011011001111001001101001011110001010100110000110101101010011101001011110010001110101100001100000110100011110110001000001001110010000101100001100011100110100101001101110000001011100011110110010111111001100110011100000001100001011100100111010100001001110001110100111100010011101100000101110011101001100101001011101110110111110110000011001101111010000011000110110011010110110001100000101011000110101010111111010010111000000010110001011101010000100000110000010101111011010101100100011101101010111011101000101001100101001000010011001010011101000001100011100011011010010010111010011001001011110011001111110000101100101100010110001101111101100101110011101011111001001100101011001101100001000100111001010010000000010111011100111100010100000110101001001000111000100000110000101100000110110010111101101101000110011011111001011101100011010101100110011101011011001110010010110000010101001000011111101001100011000001010100100101101110010010100011101001101011001000010001010010010111111100100000110110010100100001011101100010001100001010001001001110110110001010001000001000001110111001110011011010110111010001011100010111011100010100011010100111010111010111001101100101010010000101100101000101010111101111101000010101001100110010001100010011000100000111011010010010010100001011101000010100001000000010101110110011010010100101110111101110101011000010010110111100000010001001000011100000111011101001001000110011010010011100001001110011110000010110001001000000001011101010000001010000100010011010010010111010100101001111010011010011111010110011100010011100110001110110010011000001111000111110001010001101111010001011011111110111111111001111011101001111001111010000100100001001010001011110001101001111111000101011111111101010100101010111010111001010001110111111010110000111101110100101011110010100100111010101101111010001110001100010010011010101101001010101101001111111001101000110000000010110100100000000110111011001101010110011111011101100101011110000100001010110101101000101010000100110110100111110100010101110011001000100111011101011111111110000000010001001100010000000100111011110110100101101001100011101110000010011101101101110011011110011100000001110010100010011100000111101001010111010011011101011000110100111001000011001010010011001010001011001100000100001011000110001110111001001000101101100100111110011101001100101010101011110111111100011001101110100111011000110111001110000110110110010110101001001011101000110110001000110100000011011001011001001111101101101000011101000100001010011100111110001010001001001101111000111110101111100000100100010000001010111100001101101001000010111010010011111111001000110011100001001101100000001111101110000100101001011011011100010001001101010011011100001100100100010001101010100100001100010011100010110011101101100010010000000001110001011011000011110011011010001000111101101010101100001110101101101001111100001111011111010100001100111000000100111000111011110001111011010010100101011001011110100110011010001101000101111011110110011000011110011100001000001110111110000011001011110011011111011000001110100001001001001101100011000111111010000010010101000111010010001100110111000010101000111001001000100100000011001000111010111011111010000101001011100111111000001111100111010111100011001000010010110101110101101000111100011001000110100111010100000100001111000110101101001011000000100011001111000000110100101000110111011000111100101010101100000100110010010001100001011100000110101111100111100100001010111000001011100001111101111010111110111010100001010110010001101110001011001100110010110111011001000011000100111101110111111001011100000100011110001100100110010101100000101100111111101000001100111000010100000011111100110100001011010100010101011111110101011011111010101000001101110111110011000101101100011010110111011011001010000001011010011100010010110001101110010000101110110000100010010111010100000001101111111011101110010000100111010110100100000100011111101100000101010000111111100000100011111011110110000001100100101101010100010000011101001110100100110001010000100100010001011100111110110110110010010010000000111100001000010111010011110100110110010101111101011010100110110101101101111110111001001110101101001110101000111011111111010111011110111111110101011011000110000100110011010111000101110001010010111111011101011010011000101110000010011011101101010001010100100011100001001100011010000100111001010111110011111011111101101110010100011111110110000001010110110110000001001010010011011001000101100011110001100010110010101111011001110010000111110101100010110010100100110100100011101001000011111101011011000011110101111000000111001101011101101001010000001100011010011010111101100011101111010010100001101000101110110111000100001010100010111011111011001100110100011010110100100100101100100110110101010010011100011010111000110110101101110010010001101100101000101111110110111111100101000100101011000011101111001010111111001001011110001010101110110011100010000011000100011110110110001100001001010111111100101110011010000000111011001000010111111100111111000000111000001001001011001010001010101010010000000110101110110110000110010100010011010000011000110101001010100000101100010000001010111010000001011100110101100010110010110010001000110111101110000001101110101001101111010110001010010001101010010101010100110011110111101000010011111100100111010001101101100000101010111000010010000011111101011001000000101110011101001011001010111011011111011110101111010000010100100110100011100011110100010011110110110000110000010010101010110010010011011100010110111001000101000011111110110111000010100000000111111001100000000110111110011101110011001110111101000101011101011010101110000010101100111110111110010111110000101011010011100011001110101011101111100101111000110110000100100111111011110110111101010001001011100101001100011110010111001010000011110100010011100111101010111110010100111000011101100111001101101110000001100111100111010110010111000100011000110111111010111100100010010111101111100101111100001001000011010010010111111100001000110100001001001000011001000011111110111111101111000001010001110110100011101110100001111000001110101111101101110101111111010010000101000111111001001000101010011110000100100100110111011001101000001111001111110110001001100001011101101000100011100101001110001000100100110110101000100001100110011011100011011100000111111110110111101111111110111111010001000101100010011000001000001100010110000011110110111100010001000011110000101101110100100100100010001101011110111011010010111010110110110100101111110110101110000000001100111000100111110100010010011101011100001010000101110110001110110101111110110000110001001010111011100001000101000011000101111110000011010000110100111011001101110110111010100000010110100000100000111101010010001100111110011110110101111110110101101001000111100010011011110011011101110010110010110001001100010101110001011100011000101110101110100110011110100001001000001001011001001011111011001000001001000001100101101000010011101000001010111111100101011110110010100000001101101001101010010110100010101100110100001011101010110001001110001010111010110100111011100110011111100010111101101101000101000000100110101101010001010110000110100100001101011011010100001111101001000011011011110010011010010111011110010000110111011000010101100011111101011100100010111011110110111101111111111110000010000111000111010101001101000100111010001110110101010001010110000111111011000111001011011110000010001100101111110011101010110110110000110101111110010111001001001100111111100010111001001100100100101001011111110000101000110110000011011001000010100010110101111000111111011010011010111000101111111101001011100011010000110010010101000111001110111110101111101010001100011011011010110100110001000000010101001110001001000111001010001110101011110110110001111010100001000111000100001000111000110110001110100100101110001010000101110001101001000101101010110111111101110111011111111001100101111111110011001001110110000101110101001010010000110001101010110001110010100001100111100011111011010001100111010110001111011001001001100111111111110000100110111000110000100000100111010101011110001111111100100100111100000000010111110111110101011111100000100000011110101010111110100111111011111101001010010001101111101111100011001101001001101100110000100111010111011101011001010000001011010100001100101110111101011000000010101100110010010001110010100001100010100000111100100000101111101100010010010000110011010110010001011011111000101110100110111001011011000100000111001001110110101110110101001000111000000100111100111100011001011111101011111101011011010100010101011101001100110110010100011000100110000101010001001101001101001100000001011110011101011010100010000011010011101111000110011000011111111011011100001111110110010101111011011000000101000011011010110000000101101111111000011111000000110101001101011110000111010111000100001001100111100100101011101010010010110101001011000011110111110100111100101000011111010100110011100101110010011011011101001111100100101010011110101000010100101000101101100010000100100101000111001001101101010001010011010011000010100011011000101001110100101100100011101000111000011111111011101011100110101001111101110110001111010100001111001100010111101110000111100100110001000110010100000110110001011000001010100100010100001110000000011111010100100010000111101011011101010101000100000000001000000011011111101111010111100010001010100110011100010100100101010110101110010111001111011100110110000111110100101011000110101010110000111111111100010111100111011000101000000110100000011001010000101011111001100000111011010010101011011110001000011011011111110111101101011111010000100011011110010001010110001011000000111011000110000100111110111111111111010000100001110000110001101011001110000010100100011010101000100011010111111001100011100111101111011100100000101010001100100110000110100001100001111000101110010000000010111110001010110100100010110010100000010001111101011110011010101110100000001111111001101011110000001101100001010001011011100110010011111101011110001000001110101001011001111101100001001101010010100000000001011010001000101000011011001100001110011000110110010111100000011010101010000011001011000100010011101010101110001010000000010111000110000110000011011001011000101101111111011111111111101001110110100001100101011110001010011111111000100011010111000010110011010001100010101101110000110011000100101001110110100001010101001000100101101001011111110110101111100001000011001101000010110111010101100001111001101001010110010010011011110100011111010100000110010100000100000011110000111111101100111111010100100011110110101100101011001000011111010110110100000110001010110101110111100110010011010101111011101101100110001101001011000000100010110110010010001110010110001111001010001011110010111011011010110001010101001011110111110101010100010111100010100011000011110001110110001000001001010110011101010001010110000011100000010010001110101111100101110000100111000011111111100010011011101001100111111001010001001110001101101001001111011100011000000110110111100111011110000101010001111010010100110010100110111000110010011110110000010111101001010110011000000000100100011001001011001000110101000110000111101100011001110001011001100001011101000110000101110001110010101110011111100111010010111001000111011101011101101011000100110101110110100101101100110000001011100110110000111001011011000111101010001111111010100111101001101010011000011000000001101010111101100101001001001001101000101101101101010100110101111111001110011110101100101101010110010000100001000000010111010100010001100111110101010100000111101000100000011000010010001000011101010000111101110010100000100001001101100011000100110101000001001001110101011010000001001001010100011000011010110011100111110111001101110010101011100011110100111100110010001000111001010001001010011100000111000101000010011011101110101100101010000110000111001100111001010000011001010010101010000100111010010101101110011110100111001011111110100001011010000101000110110011001101000010001100000011101101010001111110001111110110000010001101111101011110011100101000000111010011011001101010010111100001111100000001100000110110101111011110101101000111101010101111001111111111010111000010001000101100110001011101101111011000101001010101010111111011100100000101011110011011001101111100110011011100111000100001101111100110101111000001110101101000111011011101001010111100001010101001010100001000110001100110101101011100111100011010011110111011100010001001001110011011110000100011001001100010111001001000011010010111010000001101000001011100001001000101110010100100010111000100010100010000010000110100101110101011110011111100011111101010110011000101110101100111011010100010101100011110110110011011101110000011011001100001111100000011111101000000100011101110000100000001110010111111100100000001001011000011111100010001011011010110000111101110000001100001001111111100110100000010110111011001100000100100011100111011111011000111011110101001000111111001100010100100100110001100000100011000000011010001111010101011100100111011101101010010100011101001110100001010001100100101100111011101110110110011111110011010000100101101110101110101111001111110111111101011101011110111000010000100010101100010000110100010101000001010101111111100011111001001110000100101101010101000100001100011100001110100010101011110001110110111010101110010001001100010111000111011001000001101110110000100001001111010010111110101010111010111100110011101100101100100110001100000011011100100010001111011001000000101000011011000010000000000001011011011111101110100010100101000110100001000001001101001100111010010011110110000001000111000110010101111110000111111101111001010010101010010101111010111100100010101101001000011110100100010101110000001010011111000010101010001110101110101001101011111111100001101011001010010011011100110001100001111000010000100001000011011101100000111001110010001001110111000110110100000010011001000101101100101111100101010000110111111100111111100011010011110111100010000000111110110010110101101101111110010001000100000001010011100001001110001100001000000110111011110111010110001011110010111010110001110110110111010101110110010101010010011111000111110001110011000101111010010010110010011011111011111010100011000011001110000101011010101111001001100011001000101011000100110110010010010010111100010110100110011010110100110110010100100111000010101011000010101000001111010001111001111000000111001010100101010010000101111001101001101111011100100111111000010100101111000100000001111101000001101100010000000101111000111000001111110101111110110101101101010001110100111011100101101100111111010011111110101010111111010110000111011010111111011010101100000110010101111001011001110011011100000111000111100011101111000101101110011001010111011010000001010110101001111011010011001010101011000001110000100100111000101110001111110111101110100101110101111111110101000000110111111011100010010001101011001010111110010101111110001100011011111001100110100110111100111010010000011011011110010010000101011110100101110100111100000111000011101011010011001111000101010001000011011011001010000011000011011100100100011000010011011001100101100101101000100001011111001011110101001000000100111000001011100111110011001001100011000101110001001000110100000110000001010110110100101110011111100111000010111011110011011001110011010010110000101010101000011100001110111011100011010111111001111101000101100100110110111100011111101001010001011110000000011110010110001011001001110010101011001011011010110000111111101100011010100110010110110110111000100100111111100111000000110000111111001111001011011000011010100000011100110110110000110101001110000111101001101010010011100000011100011110000101101101111001100110011011000011000011000111111001011001111010100000111011011001000011110000011001010100010101101010111100110011100001001001001000011111001011011101010000010101111010000011010000001011000011011000110010011110011101011111000010010100100011100000100001110111100010111110100111001001101000010010001011010101001110010010111010100101101011010111010010101111001011010110101100111100111100101001000101011100000110101000000110111010101010101010111110101101100111100110010110000011110101010100110110011001000001010110001111011001100011000000110101110100100110011110010001011001000101000000110010111111100111101100010001001110010011001111011101111010000110101110100000001000110011010100101110110000100001100011000010111001100100110101010100000101000100011111101110001111000101010100001001101001110111010110110101100000110011011110101110010100000111110001111111011010010010110111010110101000101001110111001001110111010100100000010110011011100010101010101010001011010110011111011001011000111010110010000000111011000100100011100110111011011101110100110001010100110101010001100001101000100100000001000100100100000000100111111111010011000001100011101100100100010001000110110011110011001100110000010000000010010001111111011000111110111110110001010010101111010011111111000011111101001111110101000101101010011000011001001001001101001001010101100010010110101101101000100000011101111100100001100111010010101111110111110011101101001110110011101001010101000101000101011001100101000000011011001100011111011101110101100111111101111111001111111101011111110101110111010110011101010110101100100111000000110000100010100110001111111000100011011011000011001111000110000010111110111001110101101001011000111111000011100010000000110000001000010011010000101001011011111101111001010101110111001001001011000000000000111110111110011010001100000111101010111101010011000111100111000001110100110111001101010010010100011111110010101010010100110000000011011110001100000011110111100111001111101110000000011110011010011010011101110110111100101111001111100010110110101010110001111000011010000000100111010011110111011010111101111010001101100001101011110110011100100111011110111011011010110100101111101010111000100010001111111111001111101010001010100000110110110010110011001111001101110100010110111100111010001011011000101000010100000101100100000101001010010110010010100100001011010000000011001010001000000010010100010011010110011110010010110110010110010010011110000010010000101101010111101110000111101000010001100001000000111110100011100001111101001101011100011101111011001110001001101011101000011101100001000100010111101110001101010010111111101100001111110110100001001010101110001100011100000000100111011101100001010110101000001010000100010010010111101000111000110110011001111000110100101011000001010001101110101110100000111111101001000011100011011011001110011011010111001001101001110110001001000101101000001111010100001010011111001011101010001100010110010101001110100101001111111000000001100111010100000110011011100110101101110000110010010011001001001000010010110000011011010001111010001000101101000011100000101011010110100101101111101011001010111001010000000100101000000010001011010011000000110110110110100101110111001001110000101110110100111000101011101001001011011001101111011001100110110011110010011010010111100010101001100001101011010100111010010111100100011101011000011000001101000111101100010000010011100100001011000011000111001101001010011011100000010111000111101100101111110011001100111000000011000010111001001110101000010011100011101001111000100111011000001011100111010011001010010111011101101111101100000110011011110100000110001101100110101101100011000001010110001101010101111110100101110000000101100010111010100001000001100000101011110110101011001000111011010101110111010001010011001010010000100110010100111010000011000111000110110100100101110100110010010111100110011111100001011001011000101100011011111011001011100111010111110010011001010110011011000010001001110010100100000000101110111001111000101000001101010010010001110001000001100001011000001101100101111011011010001100110111110010111011000110101011001100111010110110011100100101100000101010010000111111010011000110000010101001001011011100100101000111010011010110010000100010100100101111111001000001101100101001000010111011000100011000010100010010011101101100010100010000010000011101110011100110110101101110100010111000101110111000101000110101001110101110101110011011001010100100001011001010001010101111011111010000101010011001100100011000100110001000001110110100100100101000010111010000101000010000000101011101100110100101001011101111011101010110000100101101111000000100010010000111000001110111010010010001100110100100111000010011100111100000101100010010000000010111010100000010100001000100110100100101110101001010011110100110100111110101100111000100111001100011101100100110000011110001111100010100011011110100010110111111101111111110011110111010011110011110100001001000010010100010111100011010011111110001010111111111010101001010101110101110010100011101111110101100001111011101001010111100101001001110101011011110100011100011000100100110101011010010101011010011111110011010001100000000101101001000000001101110110011010101100111110111011001010111100001000010101101011010001010100001001101101001111101000101011100110010001001110111010111111111100000000100010011000100000001001110111101101001011010011000111011100000100111011011011100110111100111000000011100101000100111000001111010010101110100110111010110001101001110010000110010100100110010100010110011000001000010110001100011101110010010001011011001001111100111010011001010101010111101111111000110011011101001110110001101110011100001101101100101101010010010111010001101100010001101000000110110010110010011111011011010000111010001000010100111001111100010100010010011011110001111101011111000001001000100000010101111000011011010010000101110100100111111110010001100111000010011011000000011111011100001001010010110110111000100010011010100110111000011001001000100011010101001000011000100111000101100111011011000100100000000011100010110110000111100110110100010001111011010101011000011101011011010011111000011110111110101000011001110000001001110001110111100011110110100101001010110010111101001100110100011010001011110111101100110000111100111000010000011101111100000110010111100110111110110000011101000010010010011011000110001111110100000100101010001110100100011001101110000101010001110010010001001000000110010001110101110111110100001010010111001111110000011111001110101111000110010000100101101011101011010001111000110010001101001110101000001000011110001101011010010110000001000110011110000001101001010001101110110001111001010101011000001001100100100011000010111000001101011111001111001000010101110000010111000011111011110101111101110101000010101100100011011100010110011001100101101110110010000110001001111011101111110010111000001000111100011001001100101011000001011001111111010000011001110000101000000111111001101000010110101000101010111111101010110111110101010000011011101111100110001011011000110101101110110110010100000010110100111000100101100011011100100001011101100001000100101110101000000011011111110111011100100001001110101101001000001000111111011000001010100001111111000001000111110111101100000011001001011010101000100000111010011101001001100010100001001000100010111001111101101101100100100100000001111000010000101110100111101001101100101011111010110101001101101011011011111101110010011101011010011101010001110111111110101110111101111111101010110110001100001001100110101110001011100010100101111110111010110100110001011100000100110111011010100010101001000111000010011000110100001001110010101111100111110111111011011100101000111111101100000010101101101100000010010100100110110010001011000111100011000101100101011110110011100100001111101011000101100101001001101001000111010010000111111010110110000111101011110000001110011010111011010010100000011000110100110101111011000111011110100101000011010001011101101110001000010101000101110111110110011001101000110101101001001001011001001101101010100100111000110101110001101101011011100100100011011001010001011111101101111111001010001001010110000111011110010101111110010010111100010101011101100111000100000110001000111101101100011000010010101111111001011100110100000001110110010000101111111001111110000001110000010010010110010100010101010100100000001101011101101100001100101000100110100000110001101010010101000001011000100000010101110100000010111001101011000101100101100100010001101111011100000011011101010011011110101100010100100011010100101010101001100111101111010000100111111001001110100011011011000001010101110000100100000111111010110010000001011100111010010110010101110110111110111101011110100000101001001101000111000111101000100111101101100001100000100101010101100100100110111000101101110010001010000111111101101110000101000000001111110011000000001101111100111011100110011101111010001010111010110101011100000101011001111101111100101111100001010110100111000110011101010111011111001011110001101100001001001111110111101101111010100010010111001010011000111100101110010100000111101000100111001111010101111100101001110000111011001110011011011100000011001111001110101100101110001000110001101111110101111001000100101111011111001011111000010010000110100100101111111000010001101000010010010000110010000111111101111111011110000010100011101101000111011101000011110000011101011111011011101011111110100100001010001111110010010001010100111100001001001001101110110011010000011110011111101100010011000010111011010001000111001010011100010001001001101101010001000011001100110111000110111000001111111101101111011111111101111110100010001011000100110000010000011000101100000111101101111000100010000111100001011011101001001001000100011010111101110110100101110101101101101001011111101101011100000000011001110001001111101000100100111010111000010100001011101100011101101011111101100001100010010101110111000010001010000110001011111100000110100001101001110110011011101101110101000000101101000001000001111010100100011001111100111101101011111101101011010010001111000100110111100110111011100101100101100010011000101011100010111000110001011101011101001100111101000010010000010010110010010111110110010000010010000011001011010000100111010000010101111111001010111101100101000000011011010011010100101101000101011001101000010111010101100010011100010101110101101001110111001100111111000101111011011010001010000001001101011010100010101100001101001000011010110110101000011111010010000110110111100100110100101110111100100001101110110000101011000111111010111001000101110111101101111011111111111100000100001110001110101010011010001001110100011101101010100010101100001111110110001110010110111100000100011001011111100111010101101101100001101011111100101110010010011001111111000101110010011001001001010010111111100001010001101100000110110010000101000101101011110001111110110100110101110001011111111010010111000110100001100100101010001110011101111101011111010100011000110110110101101001100010000000101010011100010010001110010100011101010111101101100011110101000010001110001000010001110001101100011101001001011100010100001011100011010010001011010101101111111011101110111111110011001011111111100110010011101100001011101010010100100001100011010101100011100101000011001111000111110110100011001110101100011110110010010011001111111111100001001101110001100001000001001110101010111100011111111001001001111000000000101111101111101010111111000001000000111101010101111101001111110111111010010100100011011111011111000110011010010011011001100001001110101110111010110010100000010110101000011001011101111010110000000101011001100100100011100101000011000101000001111001000001011111011000100100100001100110101100100010110111110001011101001101110010110110001000001110010011101101011101101010010001110000001001111001111000110010111111010111111010110110101000101010111010011001101100101000110001001100001010100010011010011010011000000010111100111010110101000100000110100111011110001100110000111111110110111000011111101100101011110110110000001010000110110101100000001011011111110000111110000001101010011010111100001110101110001000010011001111001001010111010100100101101010010110000111101111101001111001010000111110101001100111001011100100110110111010011111001001010100111101010000101001010001011011000100001001001010001110010011011010100010100110100110000101000110110001010011101001011001000111010001110000111111110111010111001101010011111011101100011110101000011110011000101111011100001111001001100010001100101000001101100010110000010101001000101000011100000000111110101001000100001111010110111010101010001000000000010000000110111111011110101111000100010101001100111000101001001010101101011100101110011110111001101100001111101001010110001101010101100001111111111000101111001110110001010000001101000000110010100001010111110011000001110110100101010110111100010000110110111111101111011010111110100001000110111100100010101100010110000001110110001100001001111101111111111110100001000011100001100011010110011100000101001000110101010001000110101111110011000111001111011110111001000001010100011001001100001101000011000011110001011100100000000101111100010101101001000101100101000000100011111010111100110101011101000000011111110011010111100000011011000010100010110111001100100111111010111100010000011101010010110011111011000010011010100101000000000010110100010001010000110110011000011100110001101100101111000000110101010100000110010110001000100111010101011100010100000000101110001100001100000110110010110001011011111110111111111111010011101101000011001010111100010100111111110001000110101110000101100110100011000101011011100001100110001001010011101101000010101010010001001011010010111111101101011111000010000110011010000101101110101011000011110011010010101100100100110111101000111110101000001100101000001000000111100001111111011001111110101001000111101101011001010110010000111110101101101000001100010101101011101111001100100110101011110111011011001100011010010110000001000101101100100100011100101100011110010100010111100101110110110101100010101010010111101111101010101000101111000101000110000111100011101100010000010010101100111010100010101100000111000000100100011101011111001011100001001110000111111111000100110111010011001111110010100010011100011011010010011110111000110000001101101111001110111100001010100011110100101001100101001101110001100100111101100000101111010010101100110000000001001000110010010110010001101010001100001111011000110011100010110011000010111010001100001011100011100101011100111111001110100101110010001110111010111011010110001001101011101101001011011001100000010111001101100001110010110110001111010100011111110101001111010011010100110000110000000011010101111011001010010010010011010001011011011010101001101011111110011100111101011001011010101100100001000010000000101110101000100011001111101010101000001111010001000000110000100100010000111010100001111011100101000001000010011011000110001001101010000010010011101010110100000010010010101000110000110101100111001111101110011011100101010111000111101001111001100100010001110010100010010100111000001110001010000100110111011101011001010100001100001110011001110010100000110010100101010100001001110100101011011100111101001110010111111101000010110100001010001101100110011010000100011000000111011010100011111100011111101100000100011011111010111100111001010000001110100110110011010100101111000011111000000011000001101101011110111101011010001111010101011110011111111110101110000100010001011001100010111011011110110001010010101010101111110111001000001010111100110110011011111001100110111001110001000011011111001101011110000011101011010001110110111010010101111000010101010010101000010001100011001101011010111001111000110100111101110111000100010010011100110111100001000110010011000101110010010000110100101110100000011010000010111000010010001011100101001000101110001000101000100000100001101001011101010111100111111000111111010101100110001011101011001110110101000101011000111101101100110111011100000110110011000011111000000111111010000001000111011100001000000011100101111111001000000010010110000111111000100010110110101100001111011100000011000010011111111001101000000101101110110011000001001000111001110111110110001110111101010010001111110011000101001001001100011000001000110000000110100011110101010111001001110111011010100101000111010011101000010100011001001011001110111011101101100111111100110100001001011011101011101011110011111101111111010111010111101110000100001000101011000100001101000101010000010101011111111000111110010011100001001011010101010001000011000111000011101000101010111100011101101110101011100100010011000101110001110110010000011011101100001000010011110100101111101010101110101111001100111011001011001001100011000000110111001000100011110110010000001010000110110000100000000000010110110111111011101000101001010001101000010000010011010011001110100100111101100000010001110001100101011111100001111111011110010100101010100101011110101111001000101011010010000111101001000101011100000010100111110000101010100011101011101010011010111111111000011010110010100100110111001100011000011110000100001000010000110111011000001110011100100010011101110001101101000000100110010001011011001011111001010100001101111111001111111000110100111101111000100000001111101100101101011011011111100100010001000000010100111000010011100011000010000001101110111101110101100010111100101110101100011101101101110101011101100101010100100111110001111100011100110001011110100100101100100110111110111110101000110000110011100001010110101011110010011000110010001010110001001101100100100100101111000101101001100110101101001101100101001001110000101010110000101010000011110100011110011110000001110010101001010100100001011110011010011011110111001001111110000101001011110001000000011111010000011011000100000001011110001110000011111101011111101101011011010100011101001110111001011011001111110100111111101010101111110101100001110110101111110110101011000001100101011110010110011100110111000001110001111000111011110001011011100110010101110110100000010101101010011110110100110010101010110000011100001001001110001011100011111101111011101001011101011111111101010000001101111110111000100100011010110010101111100101011111100011000110111110011001101001101111001110100100000110110111100100100001010111101001011101001111000001110000111010110100110011110001010100010000110110110010100000110000110111001001000110000100110110011001011001011010001000010111110010111101010010000001001110000010111001111100110010011000110001011100010010001101000001100000010101101101001011100111111001110000101110111100110110011100110100101100001010101010000111000011101110111000110101111110011111010001011001001101101111000111111010010100010111100000000111100101100010110010011100101010110010110110101100001111111011000110101001100101101101101110001001001111111001110000001100001111110011110010110110000110101000000111001101101100001101010011100001111010011010100100111000000111000111100001011011011110011001100110110000110000110001111110010110011110101000001110110110010000111100000110010101000101011010101111001100111000010010010010000111110010110111010100000101011110100000110100000010110000110110001100100111100111010111110000100101001000111000001000011101111000101111101001110010011010000100100010110101010011100100101110101001011010110101110100101011110010110101101011001111001111001010010001010111000001101010000001101110101010101010101111101011011001111001100101100000111101010101001101100110010000010101100011110110011000110000001101011101001001100111100100010110010001010000001100101111111001111011000100010011100100110011110111011110100001101011101000000010001100110101001011101100001000011000110000101110011001001101010101000001010001000111111011100011110001010101000010011010011101110101101101011000001100110111101011100101000001111100011111110110100100101101110101101010001010011101110010011101110101001000000101100110111000101010101010100010110101100111110110010110001110101100100000001110110001001000111001101110110111011101001100010101001101010100011000011010001001000000010001001001000000001001111111110100110000011000111011001001000100010001101100111100110011001100000100000000100100011111110110001111101111101100010100101011110100111111110000111111010011111101010001011010100110000110010010010011010010010101011000100101101011011010001000000111011111001000011001110100101011111101111100111011010011101100111010010101010001010001010110011001010000000110110011000111110111011101011001111111011111110011111111010111111101011101110101100111010101101011001001110000001100001000101001100011111110001000110110110000110011110001100000101111101110011101011010010110001111110000111000100000001100000010000100110100001010010110111111011110010101011101110010010010110000000000001111101111100110100011000001111010101111010100110001111001110000011101001101110011010100100101000111111100101010100101001100000000110111100011000000111101111001110011111011100000000111100110100110100111011101101111001011110011111000101101101010101100011110000110100000001001110100111101110110101111011110100011011000011010111101100111001001110111101110110110101101001011111010101110001000100011111111110011111010100010101000001101101100101100110011110011011101000101101111001110100010110110001010000101000001011001000001010010100101100100101001000010110100000000110010100010000000100101000100110101100111100100101101100101100100100111100000100100001011010101111011100001111010000100011000010000001111101000111000011111010011010111000111011110110011100010011010111010000111011000010001000101111011100011010100101111111011000011111101101000010010101011100011000111000000001001110111011000010101101010000010100001000100100101111010001110001101100110011110001101001010110000010100011011101011101000001111111010010000111000110110110011100110110101110010011010011101100010010001011010000011110101000010100111110010111010100011000101100101010011101001010011111110000000011001110101000001100110111001101011011100001100100100110010010010000100101100000110110100011110100010001011010000111000001010110101101001011011111010110010101110010100000001001010000000100010110100110000001101101101101001011101110010011100001011101101001110001010111010010010110110011011110110011001101100111100100110100101111000101010011000011010110101001110100101111001000111010110000110000011010001111011000100000100111001000010110000110001110011010010100110111000000101110001111011001011111100110011001110000000110000101110010011101010000100111000111010011110001001110110000010111001110100110010100101110111011011111011000001100110111101000001100011011001101011011000110000010101100011010101011111101001011100000001011000101110101000010000011000001010111101101010110010001110110101011101110100010100110010100100001001100101001110100000110001110001101101001001011101001100100101111001100111111000010110010110001011000110111110110010111001110101111100100110010101100110110000100010011100101001000000001011101110011110001010000011010100100100011100010000011000010110000011011001011110110110100011001101111100101110110001101010110011001110101101100111001001011000001010100100001111110100110001100000101010010010110111001001010001110100110101100100001000101001001011111110010000011011001010010000101110110001000110000101000100100111011011000101000100000100000111011100111001101101011011101000101110001011101110001010001101010011101011101011100110110010101001000010110010100010101011110111110100001010100110011001000110001001100010000011101101001001001010000101110100001010000100000001010111011001101001010010111011110111010101100001001011011110000001000100100001110000011101110100100100011001101001001110000100111001111000001011000100100000000101110101000000101000010001001101001001011101010010100111101001101001111101011001110001001110011000111011001001100000111100011111000101000110111101000101101111111011111111100111101110100111100111101000010010000100101000101111000110100111111100010101111111110101010010101011101011100101000111011111101011000011110111010010101111001010010011101010110111101000111000110001001001101010110100101010110100111111100110100011000000001011010010000000011011101100110101011001111101110110010101111000010000101011010110100010101000010011011010011111010001010111001100100010011101110101111111111000000001000100110001000000010011101111011010010110100110001110111000001001110110110111001101111001110000000111001010001001110000011110100101011101001101110101100011010011100100001100101001001100101000101100110000010000101100011000111011100100100010110110010011111001110100110010101010101111011111110001100110111010011101100011011100111000011011011001011010100100101110100011011000100011010000001101100101100100111110110110100001110100010000101001110011111000101000100100110111100011111010111110000010010001000000101011110000110110100100001011101001001111111100100011001110000100110110000000111110111000010010100101101101110001000100110101001101110000110010010001000110101010010000110001001110001011001110110110001001000000000111000101101100001111001101101000100011110110101010110000111010110110100111110000111101111101010000110011100000010011100011101111000111101101001010010101100101111010011001101000110100010111101111011001100001111001110000100000111011111000001100101111001101111101100000111010000100100100110110001100011111101000001001010100011101001000110011011100001010100011100100100010010000001100100011101011101111101000010100101110011111100000111110011101011110001100100001001011010111010110100011110001100100011010011101010000010000111100011010110100101100000010001100111100000011010010100011011101100011110010101010110000010011001001000110000101110000011010111110011110010000101011100000101110000111110111101011111011101010000101011001000110111000101100110011001011011101100100001100010011110111011111100101110000010001111000110010011001010110000010110011111110100000110011100001010000001111110011010000101101010001010101111111010101101111101010100000110111011111001100010110110001101011011101101100101000000101101001110001001011000110111001000010111011000010001001011101010000000110111111101110111001000010011101011010010000010001111110110000010101000011111110000010001111101111011000000110010010110101010001000001110100111010010011000101000010010001000101110011111011011011001001001000000011110000100001011101001111010011011001010111110101101010011011010110110111111011100100111010110100111010100011101111111101011101111011111111010101101100011000010011001101011100010111000101001011111101110101101001100010111000001001101110110101000101010010001110000100110001101000010011100101011111001111101111110110111001010001111111011000000101011011011000000100101001001101100100010110001111000110001011001010111101100111001000011111010110001011001010010011010010001110100100001111110101101100001111010111100000011100110101110110100101000000110001101001101011110110001110111101001010000110100010111011011100010000101010001011101111101100110011010001101011010010010010110010011011010101001001110001101011100011011010110111001001000110110010100010111111011011111110010100010010101100001110111100101011111100100101111000101010111011001110001000001100010001111011011000110000100101011111110010111001101000000011101100100001011111110011111100000011100000100100101100101000101010101001000000011010111011011000011001010001001101000001100011010100101010000010110001000000101011101000000101110011010110001011001011001000100011011110111000000110111010100110111101011000101001000110101001010101010011001111011110100001001111110010011101000110110110000010101011100001001000001111110101100100000010111001110100101100101011101101111101111010111101000001010010011010001110001111010001001111011011000011000001001010101011001001001101110001011011100100010100001111111011011100001010000000011111100110000000011011111001110111001100111011110100010101110101101010111000001010110011111011111001011111000010101101001110001100111010101110111110010111100011011000010010011111101111011011110101000100101110010100110001111001011100101000001111010001001110011110101011111001010011100001110110011100110110111000000110011110011101011001011100010001100011011111101011110010001001011110111110010111110000100100001101001001011111110000100011010000100100100001100100001111111011111110111100000101000111011010001110111010000111100000111010111110110111010111111101001000010100011111100100100010101001111000010010010011011101100110100000111100111111011000100110000101110110100010001110010100111000100010010011011010100010000110011001101110001101110000011111111011011110111111111011111101000100010110001001100000100000110001011000001111011011110001000100001111000010110111010010010010001000110101111011101101001011101011011011010010111111011010111000000000110011100010011111010001001001110101110000101000010111011000111011010111111011000011000100101011101110000100010100001100010111111000001101000011010011101100110111011011101010000001011010000010000011110101001000110011111001111011010111111011010110100100011110001001101111001101110111001011001011000100110001010111000101110001100010111010111010011001111010000100100000100101100100101111101100100000100100000110010110100001001110100000101011111110010101111011001010000000110110100110101001011010001010110011010000101110101011000100111000101011101011010011101110011001111110001011110110110100010100000010011010110101000101011000011010010000110101101101010000111110100100001101101111001001101001011101111001000011011101100001010110001111110101110010001011101111011011110111111111111000001000011100011101010100110100010011101000111011010101000101011000011111101100011100101101111000001000110010111111001110101011011011000011010111111001011100100100110011111110001011100100110010010010100101111111000010100011011000001101100100001010001011010111100011111101101001101011100010111111110100101110001101000011001001010100011100111011111010111110101000110001101101101011010011000100000001010100111000100100011100101000111010101111011011000111101010000100011100010000100011100011011000111010010010111000101000010111000110100100010110101011011111110111011101111111100110010111111111001100100111011000010111010100101001000011000110101011000111001010000110011110001111101101000110011101011000111101100100100110011111111111000010011011100011000010000010011101010101111000111111110010010011110000000001011111011111010101111110000010000001111010101011111010011111101111110100101001000110111110111110001100110100100110110011000010011101011101110101100101000000101101010000110010111011110101100000001010110011001001000111001010000110001010000011110010000010111110110001001001000011001101011001000101101111100010111010011011100101101100010000011100100111011010111011010100100011100000010011110011110001100101111110101111110101101101010001010101110100110011011001010001100010011000010101000100110100110100110000000101111001110101101010001000001101001110111100011001100001111111101101110000111111011001010111101101100000010100001101101011000000010110111111100001111100000011010100110101111000011101011100010000100110011110010010101110101001001011010100101100001111011111010011110010100001111101010011001110010111001001101101110100111110010010101001111010100001010010100010110110001000010010010100011100100110110101000101001101001100001010001101100010100111010010110010001110100011100001111111101110101110011010100111110111011000111101010000111100110001011110111000011110010011000100011001010000011011000101100000101010010001010000111000000001111101010010001000011110101101110101010100010000000000100000001101111110111101011110001000101010011001110001010010010101011010111001011100111101110011011000011111010010101100011010101011000011111111110001011110011101100010100000011010000001100101000010101111100110000011101101001010101101111000100001101101111111011110110101111101000010001101111001000101011000101100000011101100011000010011111011111111111101000010000111000011000110101100111000001010010001101010100010001101011111100110001110011110111101110010000010101000110010011000011010000110000111100010111001000000001011111000101011010010001011001010000001000111110101111001101010111010000000111111100110101111000000110110000101000101101110011001001111110101111000100000111010100101100111110110000100110101001010000000000101101000100010100001101100110000111001100011011001011110000001101010101000001100101100010001001110101010111000101000000001011100011000011000001101100101100010110111111101111111111110100111011010000110010101111000101001111111100010001101011100001011001101000110001010110111000011001100010010100111011010000101010100100010010110100101111111011010111110000100001100110100001011011101010110000111100110100101011001001001101111010001111101010000011001010000010000001111000011111110110011111101010010001111011010110010101100100001111101011011010000011000101011010111011110011001001101010111101110110110011000110100101100000010001011011001001000111001011000111100101000101111001011101101101011000101010100101111011111010101010001011110001010001100001111000111011000100000100101011001110101000101011000001110000001001000111010111110010111000010011100001111111110001001101110100110011111100101000100111000110110100100111101110001100000011011011110011101111000010101000111101001010011001010011011100011001001111011000001011110100101011001100000000010010001100100101100100011010100011000011110110001100111000101100110000101110100011000010111000111001010111001111110011101001011100100011101110101110110101100010011010111011010010110110011000000101110011011000011100101101100011110101000111111101010011110100110101001100001100000000110101011110110010100100100100110100010110110110101010011010111111100111001111010110010110101011001000010000100000001011101010001000110011111010101010000011110100010000001100001001000100001110101000011110111001010000010000100110110001100010011010100000100100111010101101000000100100101010001100001101011001110011111011100110111001010101110001111010011110011001000100011100101000100101001110000011100010100001001101110111010110010101000011000011100110011100101000001100101001010101000010011101001010110111001111010011100101111111010000101101000010100011011001100110100001000110000001110110101000111111000111111011000001000110111110101111001110010100000011101001101100110101001011110000111110000000110000011011010111101111010110100011110101010111100111111111101011100001000100010110011000101110110111101100010100101010101011111101110010000010101111001101100110111110011001101110011100010000110111110011010111100000111010110100011101101110100101011110000101010100101010000100011000110011010110101110011110001101001111011101110001000100100111001101111000010001100100110001011100100100001101001011101000000110100000101110000100100010111001010010001011100010001010001000001000011010010111010101111001111110001111110101011001100010111010110011101101010001010110001111011011001101110111000001101100110000111110000001111110100000010001110111000010000000111001011111110010000000100101100001111110001000101101101011000011110111000000110000100111111110011010000001011011101100110000010010001110011101111101100011101111010100100011111100110001010010010011000110000010001100000001101000111101010101110010011101110110101001010001110100111010000101000110010010110011101110111011011001111111001101000010010110111010111010111100111111011111110101110101111011100001000010001010110001000011010001010100000101010111111110001111100100111000010010110101010100010000110001110000111010001010101111000111011011101010111001000100110001011100011101100100000110111011000010000100111101001011111010101011101011110011001110110010110010011000110000001101110010001000111101100100000010100001101100001000000000000101101101111110111010001010010100011010000100000100110100110011101001001111011000000100011100011001010111111000011111110111100101001010101001010111101011110010001010110100100001111010010001010111000000101001111100001010101000111010111010100110101111111110000110101100101001001101110011000110000111100001000010000100001101110110000011100111001000100111011100011011010000001001100100010110110010111110010101000011011111110011111110001101001111011110001000000011111011001011010110110111111001000100010000000101001110000100111000110000100000011011101111011101011000101111001011101011000111011011011101010111011001010101001001111100011111000111001100010111101001001011001001101111101111101010001100001100111000010101101010111100100110001100100010101100010011011001001001001011110001011010011001101011010011011001010010011100001010101100001010100000111101000111100111100000011100101010010101001000010111100110100110111101110010011111100001010010111100010000000111110100000110110001000000010111100011100000111111010111111011010110110101000111010011101110010110110011111101001111111010101011111101011000011101101011111101101010110000011001010111100101100111001101110000011100011110001110111100010110111001100101011101101000000101011010100111101101001100101010101100000111000010010011100010111000111111011110111010010111010111111111010100000011011111101110001001000110101100101011111001010111111000110001101111100110011010011011110011101001000001101101111001001000010101111010010111010011110000011100001110101101001100111100010101000100001101101100101000001100001101110010010001100001001101100110010110010110100010000101111100101111010100100000010011100000101110011111001100100110001100010111000100100011010000011000000101011011010010111001111110011100001011101111001101100111001101001011000010101010100001110000111011101110001101011111100111110100010110010011011011110001111110100101000101111000000001111001011000101100100111001010101100101101101011000011111110110001101010011001011011011011100010010011111110011100000011000011111100111100101101100001101010000001110011011011000011010100111000011110100110101001001110000001110001111000010110110111100110011001101100001100001100011111100101100111101010000011101101100100001111000001100101010001010110101011110011001110000100100100100001111100101101110101000001010111101000001101000000101100001101100011001001111001110101111100001001010010001110000010000111011110001011111010011100100110100001001000101101010100111001001011101010010110101101011101001010111100101101011010110011110011110010100100010101110000011010100000011011101010101010101011111010110110011110011001011000001111010101010011011001100100000101011000111101100110001100000011010111010010011001111001000101100100010100000011001011111110011110110001000100111001001100111101110111101000011010111010000000100011001101010010111011000010000110001100001011100110010011010101010000010100010001111110111000111100010101010000100110100111011101011011010110000011001101111010111001010000011111000111111101101001001011011101011010100010100111011100100111011101010010000001011001101110001010101010101000101101011001111101100101100011101011001000000011101100010010001110011011101101110111010011000101010011010101000110000110100010010000000100010010010000000010011111111101001100000110001110110010010001000100011011001111001100110011000001000000001001000111111101100011111011111011000101001010111101001111111100001111110100111111010100010110101001100001100100100100110100100101010110001001011010110110100010000001110111110010000110011101001010111111011111001110110100111011001110100101010100010100010101100110010100000001101100110001111101110111010110011111110111111100111111110101111111010111011101011001110101011010110010011100000011000010001010011000111111100010001101101100001100111100011000001011111011100111010110100101100011111100001110001000000011000000100001001101000010100101101111110111100101010111011100100100101100000000000011111011111001101000110000011110101011110101001100011110011100000111010011011100110101001001010001111111001010101001010011000000001101111000110000001111011110011100111110111000000001111001101001101001110111011011110010111100111110001011011010101011000111100001101000000010011101001111011101101011110111101000110110000110101111011001110010011101111011101101101011010010111110101011100010001000111111111100111110101000101010000011011011001011001100111100110111010001011011110011101000101101100010100001010000010110010000010100101001011001001010010000101101000000001100101000100000001001010001001101011001111001001011011001011001001001111000001001000010110101011110111000011110100001000110000100000011111010001110000111110100110101110001110111101100111000100110101110100001110110000100010001011110111000110101001011111110110000111111011010000100101010111000110001110000000010011101110110000101011010100000101000010001001001011110100011100011011001100111100011010010101100000101000110111010111010000011111110100100001110001101101100111001101101011100100110100111011000100100010110100000111101010000101001111100101110101000110001011001010100111010010100111111100000000110011101010000011001101110011010110111000011001001001100100100100001001011000001101101000111101000100010110100001110000010101101011010010110111110101100101011100101000000010010100000001000101101001100000011011011011010010111011100100111000010111011010011100010101110100100101101100110111101100110011011001111001001101001011110001010100110000110101101010011101001011110010001110101100001100000110100011110110001000001001110010000101100001100011100110100101001101110000001011100011110110010111111001100110011100000001100001011100100111010100001001110001110100111100010011101100000101110011101001100101001011101110110111110110000011001101111010000011000110110011010110110001100000101011000110101010111111010010111000000010110001011101010000100000110000010101111011010101100100011101101010111011101000101001100101001000010011001010011101000001100011100011011010010010111010011001001011110011001111110000101100101100010110001101111101100101110011101011111001001100101011001101100001000100111001010010000000010111011100111100010100000110101001001000111000100000110000101100000110110010111101101101000110011011111001011101100011010101100110011101011011001110010010110000010101001000011111101001100011000001010100100101101110010010100011101001101011001000010001010010010111111100100000110110010100100001011101100010001100001010001001001110110110001010001000001000001110111001110011011010110111010001011100010111011100010100011010100111010111010111001101100101010010000101100101000101010111101111101000010101001100110010001100010011000100000111011010010010010100001011101000010100001000000010101110110011010010100101110111101110101011000010010110111100000010001001000011100000111011101001001000110011010010011100001001110011110000010110001001000000001011101010000001010000100010011010010010111010100101001111010011010011111010110011100010011100110001110110010011000001111000111110001010001101111010001011011111110111111111001111011101001111001111010000100100001001010001011110001101001111111000101011111111101010100101010111010111001010001110111111010110000111101110100101011110010100100111010101101111010001110001100010010011010101101001010101101001111111001101000110000000010110100100000000110111011001101010110011111011101100101011110000100001010110101101000101010000100110110100111110100010101110011001000100111011101011111111110000000010001001100010000000100111011110110100101101001100011101110000010011101101101110011011110011100000001110010100010011100000111101001010111010011011101011000110100111001000011001010010011001010001011001100000100001011000110001110111001001000101101100100111110011101001100101010101011110111111100011001101110100111011000110111001110000110110110010110101001001011101000110110001000110100000011011001011001001111101101101000011101000100001010011100111110001010001001001101111000111110101111100000100100010000001010111100001101101001000010111010010011111111001000110011100001001101100000001111101110000100101001011011011100010001001101010011011100001100100100010001101010100100001100010011100010110011101101100010010000000001110001011011000011110011011010001000111101101010101100001110101101101001111100001111011111010100001100111000000100111000111011110001111011010010100101011001011110100110011010001101000101111011110110011000011110011100001000001110111110000011001011110011011111011000001110100001001001001101100011000111111010000010010101000111010010001100110111000010101000111001001000100100000011001000111010111011111010000101001011100111111000001111100111010111100011001000010010110101110101101000111100011001000110100111010100000100001111000110101101001011000000100011001111000000110100101000110111011000111100101010101100000100110010010001100001011100000110101111100111100100001010111000001011100001111101111010111110111010100001010110010001101110001011001100110010110111011001000011000100111101110111111001011100000100011110001100100110010101100000101100111111101000001100111000010100000011111100110100001011010100010101011111110101011011111010101000001101110111110011000101101100011010110111011011001010000001011010011100010010110001101110010000101110110000100010010111010100000001101111111011101110010000100111010110100100000100011111101100000101010000111111100000100011111011110110000001100100101101010100010000011101001110100100110001010000100100010001011100111110110110110010010010000000111100001000010111010011110100110110010101111101011010100110110101101101111110111001001110101101001110101000111011111111010111011110111111110101011011000110000100110011010111000101110001010010111111011101011010011000101110000010011011101101010001010100100011100001001100011010000100111001010111110011111011111101101110010100011111110110000001010110110110000001001010010011011001000101100011110001100010110010101111011001110010000111110101100010110010100100110100100011101001000011111101011011000011110101111000000111001101011101101001010000001100011010011010111101100011101111010010100001101000101110110111000100001010100010111011111011001100110100011010110100100100101100100110110101010010011100011010111000110110101101110010010001101100101000101111110110111111100101000100101011000011101111001010111111001001011110001010101110110011100010000011000100011110110110001100001001010111111100101110011010000000111011001000010111111100111111000000111000001001001011001010001010101010010000000110101110110110000110010100010011010000011000110101001010100000101100010000001010111010000001011100110101100010110010110010001000110111101110000001101110101001101111010110001010010001101010010101010100110011110111101000010011111100100111010001101101100000101010111000010010000011111101011001000000101110011101001011001010111011011111011110101111010000010100100110100011100011110100010011110110110000110000010010101010110010010011011100010110111001000101000011111110110111000010100000000111111001100000000110111110011101110011001110111101000101011101011010101110000010101100111110111110010111110000101011010011100011001110101011101111100101111000110110000100100111111011110110111101010001001011100101001100011110010111001010000011110100010011100111101010111110010100111000011101100111001101101110000001100111100111010110010111000100011000110111111010111100100010010111101111100101111100001001000011010010010111111100001000110100001001001000011001000011111110111111101111000001010001110110100011101110100001111000001110101111101101110101111111010010000101000111111001001000101010011110000100100100110111011001101000001111001111110110001001100001011101101000100011100101001110001000100100110110101000100001100110011011100011011100000111111110110111101111111110111111010001000101100010011000001000001100010110000011110110111100010001000011110000101101110100100100100010001101011110111011010010111010110110110100101111110110101110000000001100111000100111110100010010011101011100001010000101110110001110110101111110110000110001001010111011100001000101000011000101111110000011010000110100111011001101110110111010100000010110100000100000111101010010001100111110011110110101111110110101101001000111100010011011110011011101110010110010110001001100010101110001011100011000101110101110100110011110100001001000001001011001001011111011001000001001000001100101101000010011101000001010111111100101011110110010100000001101101001101010010110100010101100110100001011101010110001001110001010111010110100111011100110011111100010111101101101000101000000100110101101010001010110000110100100001101011011010100001111101001000011011011110010011010010111011110010000110111011000010101100011111101011100100010111011110110111101111111111110000010000111000111010101001101000100111010001110110101010001010110000111111011000111001011011110000010001100101111110011101010110110110000110101111110010111001001001100111111100010111001001100100100101001011111110000101000110110000011011001000010100010110101111000111111011010011010111000101111111101001011100011010000110010010101000111001110111110101111101010001100011011011010110100110001000000010101001110001001000111001010001110101011110110110001111010100001000111000100001000111000110110001110100100101110001010000101110001101001000101101010110111111101110111011111111001100101111111110011001001110110000101110101001010010000110001101010110001110010100001100111100011111011010001100111010110001111011001001001100111111111110000100110111000110000100000100111010101011110001111111100100100111100000000010111110111110101011111100000100000011110101010111110100111111011111101001010010001101111101111100011001101001001101100110000100111010111011101011001010000001011010100001100101110111101011000000010101100110010010001110010100001100010100000111100100000101111101100010010010000110011010110010001011011111000101110100110111001011011000100000111001001110110101110110101001000111000000100111100111100011001011111101011111101011011010100010101011101001100110110010100011000100110000101010001001101001101001100000001011110011101011010100010000011010011101111000110011000011111111011011100001111110110010101111011011000000101000011011010110000000101101111111000011111000000110101001101011110000111010111000100001001100111100100101011101010010010110101001011000011110111110100111100101000011111010100110011100101110010011011011101001111100100101010011110101000010100101000101101100010000100100101000111001001101101010001010011010011000010100011011000101001110100101100100011101000111000011111111011101011100110101001111101110110001111010100001111001100010111101110000111100100110001000110010100000110110001011000001010100100010100001110000000011111010100100010000111101011011101010101000100000000001000000011011111101111010111100010001010100110011100010100100101010110101110010111001111011100110110000111110100101011000110101010110000111111111100010111100111011000101000000110100000011001010000101011111001100000111011010010101011011110001000011011011111110111101101011111010000100011011110010001010110001011000000111011000110000100111110111111111111010000100001110000110001101011001110000010100100011010101000100011010111111001100011100111101111011100100000101010001100100110000110100001100001111000101110010000000010111110001010110100100010110010100000010001111101011110011010101110100000001111111001101011110000001101100001010001011011100110010011111101011110001000001110101001011001111101100001001101010010100000000001011010001000101000011011001100001110011000110110010111100000011010101010000011001011000100010011101010101110001010000000010111000110000110000011011001011000101101111111011111111111101001110110100001100101011110001010011111111000100011010111000010110011010001100010101101110000110011000100101001110110100001010101001000100101101001011111110110101111100001000011001101000010110111010101100001111001101001010110010010011011110100011111010100000110010100000100000011110000111111101100111111010100100011110110101100101011001000011111010110110100000110001010110101110111100110010011010101111011101101100110001101001011000000100010110110010010001110010110001111001010001011110010111011011010110001010101001011110111110101010100010111100010100011000011110001110110001000001001010110011101010001010110000011100000010010001110101111100101110000100111000011111111100010011011101001100111111001010001001110001101101001001111011100011000000110110111100111011110000101010001111010010100110010100110111000110010011110110000010111101001010110011000000000100100011001001011001000110101000110000111101100011001110001011001100001011101000110000101110001110010101110011111100111010010111001000111011101011101101011000100110101110110100101101100110000001011100110110000111001011011000111101010001111111010100111101001101010011000011000000001101010111101100101001001001001101000101101101101010100110101111111001110011110101100101101010110010000100001000000010111010100010001100111110101010100000111101000100000011000010010001000011101010000111101110010100000100001001101100011000100110101000001001001110101011010000001001001010100011000011010110011100111110111001101110010101011100011110100111100110010001000111001010001001010011100000111000101000010011011101110101100101010000110000111001100111001010000011001010010101010000100111010010101101110011110100111001011111110100001011010000101000110110011001101000010001100000011101101010001111110001111110110000010001101111101011110011100101000000111010011011001101010010111100001111100000001100000110110101111011110101101000111101010101111001111111111010111000010001000101100110001011101101111011000101001010101010111111011100100000101011110011011001101111100110011011100111000100001101111100110101111000001110101101000111011011101001010111100001010101001010100001000110001100110101101011100111100011010011110111011100010001001001110011011110000100011001001100010111001001000011010010111010000001101000001011100001001000101110010100100010111000100010100010000010000110100101110101011110011111100011111101010110011000101110101100111011010100010101100011110110110011011101110000011011001100001111100000011111101000000100011101110000100000001110010111111100100000001001011000011111100010001011011010110000111101110000001100001001111111100110100000010110111011001100000100100011100111011111011000111011110101001000111111001100010100100100110001100000100011000000011010001111010101011100100111011101101010010100011101001110100001010001100100101100111011101110110110011111110011010000100101101110101110101111001111110111111101011101011110111000010000100010101100010000110100010101000001010101111111100011111001001110000100101101010101000100001100011100001110100010101011110001110110111010101110010001001100010111000111011001000001101110110000100001001111010010111110101010111010111100110011101100101100100110001100000011011100100010001111011001000000101000011011000010000000000001011011011111101110100010100101000110100001000001001101001100111010010011110110000001000111000110010101111110000111111101111001010010101010010101111010111100100010101101001000011110100100010101110000001010011111000010101010001110101110101001101011111111100001101011001010010011011100110001100001111000010000100001000011011101100000111001110010001001110111000110110100000010011001000101101100101111100101010000110111111100111111100011010011110111100010000000111110110010110101101101111110010001000100000001010011100001001110001100001000000110111011110111010110001011110010111010110001110110110111010101110110010101010010011111000111110001110011000101111010010010110010011011111011111010100011000011001110000101011010101111001001100011001000101011000100110110010010010010111100010110100110011010110100110110010100100111000010101011000010101000001111010001111001111000000111001010100101010010000101111001101001101111011100100111111000010100101111000100000001111101000001101100010000000101111000111000001111110101111110110101101101010001110100111011100101101100111111010011111110101010111111010110000111011010111111011010101100000110010101111001011001110011011100000111000111100011101111000101101110011001010111011010000001010110101001111011010011001010101011000001110000100100111000101110001111110111101110100101110101111111110101000000110111111011100010010001101011001010111110010101111110001100011011111001100110100110111100111010010000011011011110010010000101011110100101110100111100000111000011101011010011001111000101010001000011011011001010000011000011011100100100011000010011011001100101100101101000100001011111001011110101001000000100111000001011100111110011001001100011000101110001001000110100000110000001010110110100101110011111100111000010111011110011011001110011010010110000101010101000011100001110111011100011010111111001111101000101100100110110111100011111101001010001011110000000011110010110001011001001110010101011001011011010110000111111101100011010100110010110110110111000100100111111100111000000110000111111001111001011011000011010100000011100110110110000110101001110000111101001101010010011100000011100011110000101101101111001100110011011000011000011000111111001011001111010100000111011011001000011110000011001010100010101101010111100110011100001001001001000011111001011011101010000010101111010000011010000001011000011011000110010011110011101011111000010010100100011100000100001110111100010111110100111001001101000010010001011010101001110010010111010100101101011010111010010101111001011010110101100111100111100101001000101011100000110101000000110111010101010101010111110101101100111100110010110000011110101010100110110011001000001010110001111011001100011000000110101110100100110011110010001011001000101000000110010111111100111101100010001001110010011001111011101111010000110101110100000001000110011010100101110110000100001100011000010111001100100110101010100000101000100011111101110001111000101010100001001101001110111010110110101100000110011011110101110010100000111110001111111011010010010110111010110101000101001110111001001110111010100100000010110011011100010101010101010001011010110011111011001011000111010110010000000111011000100100011100110111011011101110100110001010100110101010001100001101000100100000001000100100100000000100111111111010011000001100011101100100100010001000110110011110011001100110000010000000010010001111111011000111110111110110001010010101111010011111111000011111101001111110101000101101010011000011001001001001101001001010101100010010110101101101000100000011101111100100001100111010010101111110111110011101101001110110011101001010101000101000101011001100101000000011011001100011111011101110101100111111101111111001111111101011111110101110111010110011101010110101100100111000000110000100010100110001111111000100011011011000011001111000110000010111110111001110101101001011000111111000011100010000000110000001000010011010000101001011011111101111001010101110111001001001011000000000000111110111110011010001100000111101010111101010011000111100111000001110100110111001101010010010100011111110010101010010100110000000011011110001100000011110111100111001111101110000000011110011010011010011101110110111100101111001111100010110110101010110001111000011010000000100111010011110111011010111101111010001101100001101011110110011100100111011110111011011010110100101111101010111000100010001111111111001111101010001010100000110110110010110011001111001101110100010110111100111010001011011000101000010100000101100100000101001010010110010010100100001011010000000011001010001000000010010100010011010110011110010010110110010110010010011110000010010000101101010111101110000111101000010001100001000000111110100011100001111101001101011100011101111011001110001001101011101000011101100001000100010111101110001101010010111111101100001111110110100001001010101110001100011100000000100111011101100001010110101000001010000100010010010111101000111000110110011001111000110100101011000001010001101110101110100000111111101001000011100011011011001110011011010111001001101001110110001001000101101000001111010100001010011111001011101010001100010110010101001110100101001111111000000001100111010100000110011011100110101101110000110010010011001001001000010010110000011011010001111010001000101101000011100000101011010110100101101111101011001010111001010000000100101000000010001011010011000000110110110110100101110111001001110000101110110100111000101011101001001011011001101111011001100110110011110010011010010111100010101001100001101011010100111010010111100100011101011000011000001101000111101100010000010011100100001011000011000111001101001010011011100000010111000111101100101111110011001100111000000011000010111001001110101000010011100011101001111000100111011000001011100111010011001010010111011101101111101100000110011011110100000110001101100110101101100011000001010110001101010101111110100101110000000101100010111010100001000001100000101011110110101011001000111011010101110111010001010011001010010000100110010100111010000011000111000110110100100101110100110010010111100110011111100001011001011000101100011011111011001011100111010111110010011001010110011011000010001001110010100100000000101110111001111000101000001101010010010001110001000001100001011000001101100101111011011010001100110111110010111011000110101011001100111010110110011100100101100000101010010000111111010011000110000010101001001011011100100101000111010011010110010000100010100100101111111001000001101100101001000010111011000100011000010100010010011101101100010100010000010000011101110011100110110101101110100010111000101110111000101000110101001110101110101110011011001010100100001011001010001010101111011111010000101010011001100100011000100110001000001110110100100100101000010111010000101000010000000101011101100110100101001011101111011101010110000100101101111000000100010010000111000001110111010010010001100110100100111000010011100111100000101100010010000000010111010100000010100001000100110100100101110101001010011110100110100111110101100111000100111001100011101100100110000011110001111100010100011011110100010110111111101111111110011110111010011110011110100001001000010010100010111100011010011111110001010111111111010101001010101110101110010100011101111110101100001111011101001010111100101001001110101011011110100011100011000100100110101011010010101011010011111110011010001100000000101101001000000001101110110011010101100111110111011001010111100001000010101101011010001010100001001101101001111101000101011100110010001001110111010111111111100000000100010011000100000001001110111101101001011010011000111011100000100111011011011100110111100111000000011100101000100111000001111010010101110100110111010110001101001110010000110010100100110010100010110011000001000010110001100011101110010010001011011001001111100111010011001010101010111101111111000110011011101001110110001101110011100001101101100101101010010010111010001101100010001101000000110110010110010011111011011010000111010001000010100111001111100010100010010011011110001111101011111000001001000100000010101111000011011010010000101110100100111111110010001100111000010011011000000011111011100001001010010110110111000100010011010100110111000011001001000100011010101001000011000100111000101100111011011000100100000000011100010110110000111100110110100010001111011010101011000011101011011010011111000011110111110101000011001110000001001110001110111100011110110100101001010110010111101001100110100011010001011110111101100110000111100111000010000011101111100000110010111100110111110110000011101000010010010011011000110001111110100000100101010001110100100011001101110000101010001110010010001001000000110010001110101110111110100001010010111001111110000011111001110101111000110010000100101101011101011010001111000110010001101001110101000001000011110001101011010010110000001000110011110000001101001010001101110110001111001010101011000001001100100100011000010111000001101011111001111001000010101110000010111000011111011110101111101110101000010101100100011011100010110011001100101101110110010000110001001111011101111110010111000001000111100011001001100101011000001011001111111010000011001110000101000000111111001101000010110101000101010111111101010110111110101010000011011101111100110001011011000110101101110110110010100000010110100111000100101100011011100100001011101100001000100101110101000000011011111110111011100100001001110101101001000001000111111011000001010100001111111000001000111110111101100000011001001011010101000100000111010011101001001100010100001001000100010111001111101101101100100100100000001111000010000101110100111101001101100101011111010110101001101101011011011111101110010011101011010011101010001110111111110101110111101111111101010110110001100001001100110101110001011100010100101111110111010110100110001011100000100110111011010100010101001000111000010011000110100001001110010101111100111110111111011011100101000111111101100000010101101101100000010010100100110110010001011000111100011000101100101011110110011100100001111101011000101100101001001101001000111010010000111111010110110000111101011110000001110011010111011010010100000011000110100110101111011000111011110100101000011010001011101101110001000010101000101110111110110011001101000110101101001001001011001001101101010100100111000110101110001101101011011100100100011011001010001011111101101111111001010001001010110000111011110010101111110010010111100010101011101100111000100000110001000111101101100011000010010101111111001011100110100000001110110010000101111111001111110000001110000010010010110010100010101010100100000001101011101101100001100101000100110100000110001101010010101000001011000100000010101110100000010111001101011000101100101100100010001101111011100000011011101010011011110101100010100100011010100101010101001100111101111010000100111111001001110100011011011000001010101110000100100000111111010110010000001011100111010010110010101110110111110111101011110100000101001001101000111000111101000100111101101100001100000100101010101100100100110111000101101110010001010000111111101101110000101000000001111110011000000001101111100111011100110011101111010001010111010110101011100000101011001111101111100101111100001010110100111000110011101010111011111001011110001101100001001001111110111101101111010100010010111001010011000111100101110010100000111101000100111001111010101111100101001110000111011001110011011011100000011001111001110101100101110001000110001101111110101111001000100101111011111001011111000010010000110100100101111111000010001101000010010010000110010000111111101111111011110000010100011101101000111011101000011110000011101011111011011101011111110100100001010001111110010010001010100111100001001001001101110110011010000011110011111101100010011000010111011010001000111001010011100010001001001101101010001000011001100110111000110111000001111111101101111011111111101111110100010001011000100110000010000011000101100000111101101111000100010000111100001011011101001001001000100011010111101110110100101110101101101101001011111101101011100000000011001110001001111101000100100111010111000010100001011101100011101101011111101100001100010010101110111000010001010000110001011111100000110100001101001110110011011101101110101000000101101000001000001111010100100011001111100111101101011111101101011010010001111000100110111100110111011100101100101100010011000101011100010111000110001011101011101001100111101000010010000010010110010010111110110010000010010000011001011010000100111010000010101111111001010111101100101000000011011010011010100101101000101011001101000010111010101100010011100010101110101101001110111001100111111000101111011011010001010000001001101011010100010101100001101001000011010110110101000011111010010000110110111100100110100101110111100100001101110110000101011000111111010111001000101110111101101111011111111111100000100001110001110101010011010001001110100011101101010100010101100001111110110001110010110111100000100011001011111100111010101101101100001101011111100101110010010011001111111000101110010011001001001010010111111100001010001101100000110110010000101000101101011110001111110110100110101110001011111111010010111000110100001100100101010001110011101111101011111010100011000110110110101101001100010000000101010011100010010001110010100011101010111101101100011110101000010001110001000010001110001101100011101001001011100010100001011100011010010001011010101101111111011101110111111110011001011111111100110010011101100001011101010010100100001100011010101100011100101000011001111000111110110100011001110101100011110110010010011001111111111100001001101110001100001000001001110101010111100011111111001001001111000000000101111101111101010111111000001000000111101010101111101001111110111111010010100100011011111011111000110011010010011011001100001001110101110111010110010100000010110101000011001011101111010110000000101011001100100100011100101000011000101000001111001000001011111011000100100100001100110101100100010110111110001011101001101110010110110001000001110010011101101011101101010010001110000001001111001111000110010111111010111111010110110101000101010111010011001101100101000110001001100001010100010011010011010011000000010111100111010110101000100000110100111011110001100110000111111110110111000011111101100101011110110110000001010000110110101100000001011011111110000111110000001101010011010111100001110101110001000010011001111001001010111010100100101101010010110000111101111101001111001010000111110101001100111001011100100110110111010011111001001010100111101010000101001010001011011000100001001001010001110010011011010100010100110100110000101000110110001010011101001011001000111010001110000111111110111010111001101010011111011101100011110101000011110011000101111011100001111001001100010001100101000001101100010110000010101001000101000011100000000111110101001000100001111010110111010101010001000000000010000000110111111011110101111000100010101001100111000101001001010101101011100101110011110111001101100001111101001010110001101010101100001111111111000101111001110110001010000001101000000110010100001010111110011000001110110100101010110111100010000110110111111101111011010111110100001000110111100100010101100010110000001110110001100001001111101111111111110100001000011100001100011010110011100000101001000110101010001000110101111110011000111001111011110111001000001010100011001001100001101000011000011110001011100100000000101111100010101101001000101100101000000100011111010111100110101011101000000011111110011010111100000011011000010100010110111001100100111111010111100010000011101010010110011111011000010011010100101000000000010110100010001010000110110011000011100110001101100101111000000110101010100000110010110001000100111010101011100010100000000101110001100001100000110110010110001011011111110111111111111010011101101000011001010111100010100111111110001000110101110000101100110100011000101011011100001100110001001010011101101000010101010010001001011010010111111101101011111000010000110011010000101101110101011000011110011010010101100100100110111101000111110101000001100101000001000000111100001111111011001111110101001000111101101011001010110010000111110101101101000001100010101101011101111001100100110101011110111011011001100011010010110000001000101101100100100011100101100011110010100010111100101110110110101100010101010010111101111101010101000101111000101000110000111100011101100010000010010101100111010100010101100000111000000100100011101011111001011100001001110000111111111000100110111010011001111110010100010011100011011010010011110111000110000001101101111001110111100001010100011110100101001100101001101110001100100111101100000101111010010101100110000000001001000110010010110010001101010001100001111011000110011100010110011000010111010001100001011100011100101011100111111001110100101110010001110111010111011010110001001101011101101001011011001100000010111001101100001110010110110001111010100011111110101001111010011010100110000110000000011010101111011001010010010010011010001011011011010101001101011111110011100111101011001011010101100100001000010000000101110101000100011001111101010101000001111010001000000110000100100010000111010100001111011100101000001000010011011000110001001101010000010010011101010110100000010010010101000110000110101100111001111101110011011100101010111000111101001111001100100010001110010100010010100111000001110001010000100110111011101011001010100001100001110011001110010100000110010100101010100001001110100101011011100111101001110010111111101000010110100001010001101100110011010000100011000000111011010100011111100011111101100000100011011111010111100111001010000001110100110110011010100101111000011111000000011000001101101011110111101011010001111010101011110011111111110101110000100010001011001100010111011011110110001010010101010101111110111001000001010111100110110011011111001100110111001110001000011011111001101011110000011101011010001110110111010010101111000010101010010101000010001100011001101011010111001111000110100111101110111000100010010011100110111100001000110010011000101110010010000110100101110100000011010000010111000010010001011100101001000101110001000101000100000100001101001011101010111100111111000111111010101100110001011101011001110110101000101011000111101101100110111011100000110110011000011111000000111111010000001000111011100001000000011100101111111001000000010010110000111111000100010110110101100001111011100000011000010011111111001101000000101101110110011000001001000111001110111110110001110111101010010001111110011000101001001001100011000001000110000000110100011110101010111001001110111011010100101000111010011101000010100011001001011001110111011101101100111111100110100001001011011101011101011110011111101111111010111010111101110000100001000101011000100001101000101010000010101011111111000111110010011100001001011010101010001000011000111000011101000101010111100011101101110101011100100010011000101110001110110010000011011101100001000010011110100101111101010101110101111001100111011001011001001100011000000110111001000100011110110010000001010000110110000100000000000010110110111111011101000101001010001101000010000010011010011001110100100111101100000010001110001100101011111100001111111011110010100101010100101011110101111001000101011010010000111101001000101011100000010100111110000101010100011101011101010011010111111111000011010110010100100110111001100011000011110000100001000010000110111011000001110011100100010011101110001101101000000100110010001011011001011111001010100001101111111001111111000110100111101111000100000001111101100101101011011011111100100010001000000010100111000010011100011000010000001101110111101110101100010111100101110101100011101101101110101011101100101010100100111110001111100011100110001011110100100101100100110111110111110101000110000110011100001010110101011110010011000110010001010110001001101100100100100101111000101101001100110101101001101100101001001110000101010110000101010000011110100011110011110000001110010101001010100100001011110011010011011110111001001111110000101001011110001000000011111010000011011000100000001011110001110000011111101011111101101011011010100011101001110111001011011001111110100111111101010101111110101100001110110101111110110101011000001100101011110010110011100110111000001110001111000111011110001011011100110010101110110100000010101101010011110110100110010101010110000011100001001001110001011100011111101111011101001011101011111111101010000001101111110111000100100011010110010101111100101011111100011000110111110011001101001101111001110100100000110110111100100100001010111101001011101001111000001110000111010110100110011110001010100010000110110110010100000110000110111001001000110000100110110011001011001011010001000010111110010111101010010000001001110000010111001111100110010011000110001011100010010001101000001100000010101101101001011100111111001110000101110111100110110011100110100101100001010101010000111000011101110111000110101111110011111010001011001001101101111000111111010010100010111100000000111100101100010110010011100101010110010110110101100001111111011000110101001100101101101101110001001001111111001110000001100001111110011110010110110000110101000000111001101101100001101010011100001111010011010100100111000000111000111100001011011011110011001100110110000110000110001111110010110011110101000001110110110010000111100000110010101000101011010101111001100111000010010010010000111110010110111010100000101011110100000110100000010110000110110001100100111100111010111110000100101001000111000001000011101111000101111101001110010011010000100100010110101010011100100101110101001011010110101110100101011110010110101101011001111001111001010010001010111000001101010000001101110101010101010101111101011011001111001100101100000111101010101001101100110010000010101100011110110011000110000001101011101001001100111100100010110010001010000001100101111111001111011000100010011100100110011110111011110100001101011101000000010001100110101001011101100001000011000110000101110011001001101010101000001010001000111111011100011110001010101000010011010011101110101101101011000001100110111101011100101000001111100011111110110100100101101110101101010001010011101110010011101110101001000000101100110111000101010101010100010110101100111110110010110001110101100100000001110110001001000111001101110110111011101001100010101001101010100011000011010001001000000010001001001000000001001111111110100110000011000111011001001000100010001101100111100110011001100000100000000100100011111110110001111101111101100010100101011110100111111110000111111010011111101010001011010100110000110010010010011010010010101011000100101101011011010001000000111011111001000011001110100101011111101111100111011010011101100111010010101010001010001010110011001010000000110110011000111110111011101011001111111011111110011111111010111111101011101110101100111010101101011001001110000001100001000101001100011111110001000110110110000110011110001100000101111101110011101011010010110001111110000111000100000001100000010000100110100001010010110111111011110010101011101110010010010110000000000001111101111100110100011000001111010101111010100110001111001110000011101001101110011010100100101000111111100101010100101001100000000110111100011000000111101111001110011111011100000000111100110100110100111011101101111001011110011111000101101101010101100011110000110100000001001110100111101110110101111011110100011011000011010111101100111001001110111101110110110101101001011111010101110001000100011111111110011111010100010101000001101101100101100110011110011011101000101101111001110100010110110001010000101000001011001000001010010100101100100101001000010110100000000110010100010000000100101000100110101100111100100101101100101100100100111100000100100001011010101111011100001111010000100011000010000001111101000111000011111010011010111000111011110110011100010011010111010000111011000010001000101111011100011010100101111111011000011111101101000010010101011100011000111000000001001110111011000010101101010000010100001000100100101111010001110001101100110011110001101001010110000010100011011101011101000001111111010010000111000110110110011100110110101110010011010011101100010010001011010000011110101000010100111110010111010100011000101100101010011101001010011111110000000011001110101000001100110111001101011011100001100100100110010010010000100101100000110110100011110100010001011010000111000001010110101101001011011111010110010101110010100000001001010000000100010110100110000001101101101101001011101110010011100001011101101001110001010111010010010110110011011110110011001101100111100100110100101111000101010011000011010110101001110100101111001000111010110000110000011010001111011000100000100111001000010110000110001110011010010100110111000000101110001111011001011111100110011001110000000110000101110010011101010000100111000111010011110001001110110000010111001110100110010100101110111011011111011000001100110111101000001100011011001101011011000110000010101100011010101011111101001011100000001011000101110101000010000011000001010111101101010110010001110110101011101110100010100110010100100001001100101001110100000110001110001101101001001011101001100100101111001100111111000010110010110001011000110111110110010111001110101111100100110010101100110110000100010011100101001000000001011101110011110001010000011010100100100011100010000011000010110000011011001011110110110100011001101111100101110110001101010110011001110101101100111001001011000001010100100001111110100110001100000101010010010110111001001010001110100110101100100001000101001001011111110010000011011001010010000101110110001000110000101000100100111011011000101000100000100000111011100111001101101011011101000101110001011101110001010001101010011101011101011100110110010101001000010110010100010101011110111110100001010100110011001000110001001100010000011101101001001001010000101110100001010000100000001010111011001101001010010111011110111010101100001001011011110000001000100100001110000011101110100100100011001101001001110000100111001111000001011000100100000000101110101000000101000010001001101001001011101010010100111101001101001111101011001110001001110011000111011001001100000111100011111000101000110111101000101101111111011111111100111101110100111100111101000010010000100101000101111000110100111111100010101111111110101010010101011101011100101000111011111101011000011110111010010101111001010010011101010110111101000111000110001001001101010110100101010110100111111100110100011000000001011010010000000011011101100110101011001111101110110010101111000010000101011010110100010101000010011011010011111010001010111001100100010011101110101111111111000000001000100110001000000010011101111011010010110100110001110111000001001110110110111001101111001110000000111001010001001110000011110100101011101001101110101100011010011100100001100101001001100101000101100110000010000101100011000111011100100100010110110010011111001110100110010101010101111011111110001100110111010011101100011011100111000011011011001011010100100101110100011011000100011010000001101100101100100111110110110100001110100010000101001110011111000101000100100110111100011111010111110000010010001000000101011110000110110100100001011101001001111111100100011001110000100110110000000111110111000010010100101101101110001000100110101001101110000110010010001000110101010010000110001001110001011001110110110001001000000000111000101101100001111001101101000100011110110101010110000111010110110100111110000111101111101010000110011100000010011100011101111000111101101001010010101100101111010011001101000110100010111101111011001100001111001110000100000111011111000001100101111001101111101100000111010000100100100110110001100011111101000001001010100011101001000110011011100001010100011100100100010010000001100100011101011101111101000010100101110011111100000111110011101011110001100100001001011010111010110100011110001100100011010011101010000010000111100011010110100101100000010001100111100000011010010100011011101100011110010101010110000010011001001000110000101110000011010111110011110010000101011100000101110000111110111101011111011101010000101011001000110111000101100110011001011011101100100001100010011110111011111100101110000010001111000110010011001010110000010110011111110100000110011100001010000001111110011010000101101010001010101111111010101101111101010100000110111011111001100010110110001101011011101101100101000000101101001110001001011000110111001000010111011000010001001011101010000000110111111101110111001000010011101011010010000010001111110110000010101000011111110000010001111101111011000000110010010110101010001000001110100111010010011000101000010010001000101110011111011011011001001001000000011110000100001011101001111010011011001010111110101101010011011010110110111111011100100111010110100111010100011101111111101011101111011111111010101101100011000010011001101011100010111000101001011111101110101101001100010111000001001101110110101000101010010001110000100110001101000010011100101011111001111101111110110111001010001111111011000000101011011011000000100101001001101100100010110001111000110001011001010111101100111001000011111010110001011001010010011010010001110100100001111110101101100001111010111100000011100110101110110100101000000110001101001101011110110001110111101001010000110100010111011011100010000101010001011101111101100110011010001101011010010010010110010011011010101001001110001101011100011011010110111001001000110110010100010111111011011111110010100010010101100001110111100101011111100100101111000101010111011001110001000001100010001111011011000110000100101011111110010111001101000000011101100100001011111110011111100000011100000100100101100101000101010101001000000011010111011011000011001010001001101000001100011010100101010000010110001000000101011101000000101110011010110001011001011001000100011011110111000000110111010100110111101011000101001000110101001010101010011001111011110100001001111110010011101000110110110000010101011100001001000001111110101100100000010111001110100101100101011101101111101111010111101000001010010011010001110001111010001001111011011000011000001001010101011001001001101110001011011100100010100001111111011011100001010000000011111100110000000011011111001110111001100111011110100010101110101101010111000001010110011111011111001011111000010101101001110001100111010101110111110010111100011011000010010011111101111011011110101000100101110010100110001111001011100101000001111010001001110011110101011111001010011100001110110011100110110111000000110011110011101011001011100010001100011011111101011110010001001011110111110010111110000100100001101001001011111110000100011010000100100100001100100001111111011111110111100000101000111011010001110111010000111100000111010111110110111010111111101001000010100011111100100100010101001111000010010010011011101100110100000111100111111011000100110000101110110100010001110010100111000100010010011011010100010000110011001101110001101110000011111111011011110111111111011111101000100010110001001100000100000110001011000001111011011110001000100001111000010110111010010010010001000110101111011101101001011101011011011010010111111011010111000000000110011100010011111010001001001110101110000101000010111011000111011010111111011000011000100101011101110000100010100001100010111111000001101000011010011101100110111011011101010000001011010000010000011110101001000110011111001111011010111111011010110100100011110001001101111001101110111001011001011000100110001010111000101110001100010111010111010011001111010000100100000100101100100101111101100100000100100000110010110100001001110100000101011111110010101111011001010000000110110100110101001011010001010110011010000101110101011000100111000101011101011010011101110011001111110001011110110110100010100000010011010110101000101011000011010010000110101101101010000111110100100001101101111001001101001011101111001000011011101100001010110001111110101110010001011101111011011110111111111111000001000011100011101010100110100010011101000111011010101000101011000011111101100011100101101111000001000110010111111001110101011011011000011010111111001011100100100110011111110001011100100110010010010100101111111000010100011011000001101100100001010001011010111100011111101101001101011100010111111110100101110001101000011001001010100011100111011111010111110101000110001101101101011010011000100000001010100111000100100011100101000111010101111011011000111101010000100011100010000100011100011011000111010010010111000101000010111000110100100010110101011011111110111011101111111100110010111111111001100100111011000010111010100101001000011000110101011000111001010000110011110001111101101000110011101011000111101100100100110011111111111000010011011100011000010000010011101010101111000111111110010010011110000000001011111011111010101111110000010000001111010101011111010011111101111110100101001000110111110111110001100110100100110110011000010011101011101110101100101000000101101010000110010111011110101100000001010110011001001000111001010000110001010000011110010000010111110110001001001000011001101011001000101101111100010111010011011100101101100010000011100100111011010111011010100100011100000010011110011110001100101111110101111110101101101010001010101110100110011011001010001100010011000010101000100110100110100110000000101111001110101101010001000001101001110111100011001100001111111101101110000111111011001010111101101100000010100001101101011000000010110111111100001111100000011010100110101111000011101011100010000100110011110010010101110101001001011010100101100001111011111010011110010100001111101010011001110010111001001101101110100111110010010101001111010100001010010100010110110001000010010010100011100100110110101000101001101001100001010001101100010100111010010110010001110100011100001111111101110101110011010100111110111011000111101010000111100110001011110111000011110010011000100011001010000011011000101100000101010010001010000111000000001111101010010001000011110101101110101010100010000000000100000001101111110111101011110001000101010011001110001010010010101011010111001011100111101110011011000011111010010101100011010101011000011111111110001011110011101100010100000011010000001100101000010101111100110000011101101001010101101111000100001101101111111011110110101111101000010001101111001000101011000101100000011101100011000010011111011111111111101000010000111000011000110101100111000001010010001101010100010001101011111100110001110011110111101110010000010101000110010011000011010000110000111100010111001000000001011111000101011010010001011001010000001000111110101111001101010111010000000111111100110101111000000110110000101000101101110011001001111110101111000100000111010100101100111110110000100110101001010000000000101101000100010100001101100110000111001100011011001011110000001101010101000001100101100010001001110101010111000101000000001011100011000011000001101100101100010110111111101111111111110100111011010000110010101111000101001111111100010001101011100001011001101000110001010110111000011001100010010100111011010000101010100100010010110100101111111011010111110000100001100110100001011011101010110000111100110100101011001001001101111010001111101010000011001010000010000001111000011111110110011111101010010001111011010110010101100100001111101011011010000011000101011010111011110011001001101010111101110110110011000110100101100000010001011011001001000111001011000111100101000101111001011101101101011000101010100101111011111010101010001011110001010001100001111000111011000100000100101011001110101000101011000001110000001001000111010111110010111000010011100001111111110001001101110100110011111100101000100111000110110100100111101110001100000011011011110011101111000010101000111101001010011001010011011100011001001111011000001011110100101011001100000000010010001100100101100100011010100011000011110110001100111000101100110000101110100011000010111000111001010111001111110011101001011100100011101110101110110101100010011010111011010010110110011000000101110011011000011100101101100011110101000111111101010011110100110101001100001100000000110101011110110010100100100100110100010110110110101010011010111111100111001111010110010110101011001000010000100000001011101010001000110011111010101010000011110100010000001100001001000100001110101000011110111001010000010000100110110001100010011010100000100100111010101101000000100100101010001100001101011001110011111011100110111001010101110001111010011110011001000100011100101000100101001110000011100010100001001101110111010110010101000011000011100110011100101000001100101001010101000010011101001010110111001111010011100101111111010000101101000010100011011001100110100001000110000001110110101000111111000111111011000001000110111110101111001110010100000011101001101100110101001011110000111110000000110000011011010111101111010110100011110101010111100111111111101011100001000100010110011000101110110111101100010100101010101011111101110010000010101111001101100110111110011001101110011100010000110111110011010111100000111010110100011101101110100101011110000101010100101010000100011000110011010110101110011110001101001111011101110001000100100111001101111000010001100100110001011100100100001101001011101000000110100000101110000100100010111001010010001011100010001010001000001000011010010111010101111001111110001111110101011001100010111010110011101101010001010110001111011011001101110111000001101100110000111110000001111110100000010001110111000010000000111001011111110010000000100101100001111110001000101101101011000011110111000000110000100111111110011010000001011011101100110000010010001110011101111101100011101111010100100011111100110001010010010011000110000010001100000001101000111101010101110010011101110110101001010001110100111010000101000110010010110011101110111011011001111111001101000010010110111010111010111100111111011111110101110101111011100001000010001010110001000011010001010100000101010111111110001111100100111000010010110101010100010000110001110000111010001010101111000111011011101010111001000100110001011100011101100100000110111011000010000100111101001011111010101011101011110011001110110010110010011000110000001101110010001000111101100100000010100001101100001000000000000101101101111110111010001010010100011010000100000100110100110011101001001111011000000100011100011001010111111000011111110111100101001010101001010111101011110010001010110100100001111010010001010111000000101001111100001010101000111010111010100110101111111110000110101100101001001101110011000110000111100001000010000100001101110110000011100111001000100111011100011011010000001001100100010110110010111110010101000011011111110011111110001101001111011110001000000011111011001011010110110111111001000100010000000101001110000100111000110000100000011011101111011101011000101111001011101011000111011011011101010111011001010101001001111100011111000111001100010111101001001011001001101111101111101010001100001100111000010101101010111100100110001100100010101100010011011001001001001011110001011010011001101011010011011001010010011100001010101100001010100000111101000111100111100000011100101010010101001000010111100110100110111101110010011111100001010010111100010000000111110100000110110001000000010111100011100000111111010111111011010110110101000111010011101110010110110011111101001111111010101011111101011000011101101011111101101010110000011001010111100101100111001101110000011100011110001110111100010110111001100101011101101000000101011010100111101101001100101010101100000111000010010011100010111000111111011110111010010111010111111111010100000011011111101110001001000110101100101011111001010111111000110001101111100110011010011011110011101001000001101101111001001000010101111010010111010011110000011100001110101101001100111100010101000100001101101100101000001100001101110010010001100001001101100110010110010110100010000101111100101111010100100000010011100000101110011111001100100110001100010111000100100011010000011000000101011011010010111001111110011100001011101111001101100111001101001011000010101010100001110000111011101110001101011111100111110100010110010011011011110001111110100101000101111000000001111001011000101100100111001010101100101101101011000011111110110001101010011001011011011011100010010011111110011100000011000011111100111100101101100001101010000001110011011011000011010100111000011110100110101001001110000001110001111000010110110111100110011001101100001100001100011111100101100111101010000011101101100100001111000001100101010001010110101011110011001110000100100100100001111100101101110101000001010111101000001101000000101100001101100011001001111001110101111100001001010010001110000010000111011110001011111010011100100110100001001000101101010100111001001011101010010110101101011101001010111100101101011010110011110011110010100100010101110000011010100000011011101010101010101011111010110110011110011001011000001111010101010011011001100100000101011000111101100110001100000011010111010010011001111001000101100100010100000011001011111110011110110001000100111001001100111101110111101000011010111010000000100011001101010010111011000010000110001100001011100110010011010101010000010100010001111110111000111100010101010000100110100111011101011011010110000011001101111010111001010000011111000111111101101001001011011101011010100010100111011100100111011101010010000001011001101110001010101010101000101101011001111101100101100011101011001000000011101100010010001110011011101101110111010011000101010011010101000110000110100010010000000100010010010000000010011111111101001100000110001110110010010001000100011011001111001100110011000001000000001001000111111101100011111011111011000101001010111101001111111100001111110100111111010100010110101001100001100100100100110100100101010110001001011010110110100010000001110111110010000110011101001010111111011111001110110100111011001110100101010100010100010101100110010100000001101100110001111101110111010110011111110111111100111111110101111111010111011101011001110101011010110010011100000011000010001010011000111111100010001101101100001100111100011000001011111011100111010110100101100011111100001110001000000011000000100001001101000010100101101111110111100101010111011100100100101100000000000011111011111001101000110000011110101011110101001100011110011100000111010011011100110101001001010001111111001010101001010011000000001101111000110000001111011110011100111110111000000001111001101001101001110111011011110010111100111110001011011010101011000111100001101000000010011101001111011101101011110111101000110110000110101111011001110010011101111011101101101011010010111110101011100010001000111111111100111110101000101010000011011011001011001100111100110111010001011011110011101000101101100010100001010000010110010000010100101001011001001010010000101101000000001100101000100000001001010001001101011001111001001011011001011001001001111000001001000010110101011110111000011110100001000110000100000011111010001110000111110100110101110001110111101100111000100110101110100001110110000100010001011110111000110101001011111110110000111111011010000100101010111000110001110000000010011101110110000101011010100000101000010001001001011110100011100011011001100111100011010010101100000101000110111010111010000011111110100100001110001101101100111001101101011100100110100111011000100100010110100000111101010000101001111100101110101000110001011001010100111010010100111111100000000110011101010000011001101110011010110111000011001001001100100100100001001011000001101101000111101000100010110100001110000010101101011010010110111110101100101011100101000000010010100000001000101101001100000011011011011010010111011100100111000010111011010011100010101110100100101101100110111101100110011011001111001001101001011110001010100110000110101101010011101001011110010001110101100001100000110100011110110001000001001110010000101100001100011100110100101001101110000001011100011110110010111111001100110011100000001100001011100100111010100001001110001110100111100010011101100000101110011101001100101001011101110110111110110000011001101111010000011000110110011010110110001100000101011000110101010111111010010111000000010110001011101010000100000110000010101111011010101100100011101101010111011101000101001100101001000010011001010011101000001100011100011011010010010111010011001001011110011001111110000101100101100010110001101111101100101110011101011111001001100101011001101100001000100111001010010000000010111011100111100010100000110101001001000111000100000110000101100000110110010111101101101000110011011111001011101100011010101100110011101011011001110010010110000010101001000011111101001100011000001010100100101101110010010100011101001101011001000010001010010010111111100100000110110010100100001011101100010001100001010001001001110110110001010001000001000001110111001110011011010110111010001011100010111011100010100011010100111010111010111001101100101010010000101100101000101010111101111101000010101001100110010001100010011000100000111011010010010010100001011101000010100001000000010101110110011010010100101110111101110101011000010010110111100000010001001000011100000111011101001001000110011010010011100001001110011110000010110001001000000001011101010000001010000100010011010010010111010100101001111010011010011111010110011100010011100110001110110010011000001111000111110001010001101111010001011011111110111111111001111011101001111001111010000100100001001010001011110001101001111111000101011111111101010100101010111010111001010001110111111010110000111101110100101011110010100100111010101101111010001110001100010010011010101101001010101101001111111001101000110000000010110100100000000110111011001101010110011111011101100101011110000100001010110101101000101010000100110110100111110100010101110011001000100111011101011111111110000000010001001100010000000100111011110110100101101001100011101110000010011101101101110011011110011100000001110010100010011100000111101001010111010011011101011000110100111001000011001010010011001010001011001100000100001011000110001110111001001000101101100100111110011101001100101010101011110111111100011001101110100111011000110111001110000110110110010110101001001011101000110110001000110100000011011001011001001111101101101000011101000100001010011100111110001010001001001101111000111110101111100000100100010000001010111100001101101001000010111010010011111111001000110011100001001101100000001111101110000100101001011011011100010001001101010011011100001100100100010001101010100100001100010011100010110011101101100010010000000001110001011011000011110011011010001000111101101010101100001110101101101001111100001111011111010100001100111000000100111000111011110001111011010010100101011001011110100110011010001101000101111011110110011000011110011100001000001110111110000011001011110011011111011000001110100001001001001101100011000111111010000010010101000111010010001100110111000010101000111001001000100100000011001000111010111011111010000101001011100111111000001111100111010111100011001000010010110101110101101000111100011001000110100111010100000100001111000110101101001011000000100011001111000000110100101000110111011000111100101010101100000100110010010001100001011100000110101111100111100100001010111000001011100001111101111010111110111010100001010110010001101110001011001100110010110111011001000011000100111101110111111001011100000100011110001100100110010101100000101100111111101000001100111000010100000011111100110100001011010100010101011111110101011011111010101000001101110111110011000101101100011010110111011011001010000001011010011100010010110001101110010000101110110000100010010111010100000001101111111011101110010000100111010110100100000100011111101100000101010000111111100000100011111011110110000001100100101101010100010000011101001110100100110001010000100100010001011100111110110110110010010010000000111100001000010111010011110100110110010101111101011010100110110101101101111110111001001110101101001110101000111011111111010111011110111111110101011011000110000100110011010111000101110001010010111111011101011010011000101110000010011011101101010001010100100011100001001100011010000100111001010111110011111011111101101110010100011111110110000001010110110110000001001010010011011001000101100011110001100010110010101111011001110010000111110101100010110010100100110100100011101001000011111101011011000011110101111000000111001101011101101001010000001100011010011010111101100011101111010010100001101000101110110111000100001010100010111011111011001100110100011010110100100100101100100110110101010010011100011010111000110110101101110010010001101100101000101111110110111111100101000100101011000011101111001010111111001001011110001010101110110011100010000011000100011110110110001100001001010111111100101110011010000000111011001000010111111100111111000000111000001001001011001010001010101010010000000110101110110110000110010100010011010000011000110101001010100000101100010000001010111010000001011100110101100010110010110010001000110111101110000001101110101001101111010110001010010001101010010101010100110011110111101000010011111100100111010001101101100000101010111000010010000011111101011001000000101110011101001011001010111011011111011110101111010000010100100110100011100011110100010011110110110000110000010010101010110010010011011100010110111001000101000011111110110111000010100000000111111001100000000110111110011101110011001110111101000101011101011010101110000010101100111110111110010111110000101011010011100011001110101011101111100101111000110110000100100111111011110110111101010001001011100101001100011110010111001010000011110100010011100111101010111110010100111000011101100111001101101110000001100111100111010110010111000100011000110111111010111100100010010111101111100101111100001001000011010010010111111100001000110100001001001000011001000011111110111111101111000001010001110110100011101110100001111000001110101111101101110101111111010010000101000111111001001000101010011110000100100100110111011001101000001111001111110110001001100001011101101000100011100101001110001000100100110110101000100001100110011011100011011100000111111110110111101111111110111111010001000101100010011000001000001100010110000011110110111100010001000011110000101101110100100100100010001101011110111011010010111010110110110100101111110110101110000000001100111000100111110100010010011101011100001010000101110110001110110101111110110000110001001010111011100001000101000011000101111110000011010000110100111011001101110110111010100000010110100000100000111101010010001100111110011110110101111110110101101001000111100010011011110011011101110010110010110001001100010101110001011100011000101110101110100110011110100001001000001001011001001011111011001000001001000001100101101000010011101000001010111111100101011110110010100000001101101001101010010110100010101100110100001011101010110001001110001010111010110100111011100110011111100010111101101101000101000000100110101101010001010110000110100100001101011011010100001111101001000011011011110010011010010111011110010000110111011000010101100011111101011100100010111011110110111101111111111110000010000111000111010101001101000100111010001110110101010001010110000111111011000111001011011110000010001100101111110011101010110110110000110101111110010111001001001100111111100010111001001100100100101001011111110000101000110110000011011001000010100010110101111000111111011010011010111000101111111101001011100011010000110010010101000111001110111110101111101010001100011011011010110100110001000000010101001110001001000111001010001110101011110110110001111010100001000111000100001000111000110110001110100100101110001010000101110001101001000101101010110111111101110111011111111001100101111111110011001001110110000101110101001010010000110001101010110001110010100001100111100011111011010001100111010110001111011001001001100111111111110000100110111000110000100000100111010101011110001111111100100100111100000000010111110111110101011111100000100000011110101010111110100111111011111101001010010001101111101111100011001101001001101100110000100111010111011101011001010000001011010100001100101110111101011000000010101100110010010001110010100001100010100000111100100000101111101100010010010000110011010110010001011011111000101110100110111001011011000100000111001001110110101110110101001000111000000100111100111100011001011111101011111101011011010100010101011101001100110110010100011000100110000101010001001101001101001100000001011110011101011010100010000011010011101111000110011000011111111011011100001111110110010101111011011000000101000011011010110000000101101111111000011111000000110101001101011110000111010111000100001001100111100100101011101010010010110101001011000011110111110100111100101000011111010100110011100101110010011011011101001111100100101010011110101000010100101000101101100010000100100101000111001001101101010001010011010011000010100011011000101001110100101100100011101000111000011111111011101011100110101001111101110110001111010100001111001100010111101110000111100100110001000110010100000110110001011000001010100100010100001110000000011111010100100010000111101011011101010101000100000000001000000011011111101111010111100010001010100110011100010100100101010110101110010111001111011100110110000111110100101011000110101010110000111111111100010111100111011000101000000110100000011001010000101011111001100000111011010010101011011110001000011011011111110111101101011111010000100011011110010001010110001011000000111011000110000100111110111111111111010000100001110000110001101011001110000010100100011010101000100011010111111001100011100111101111011100100000101010001100100110000110100001100001111000101110010000000010111110001010110100100010110010100000010001111101011110011010101110100000001111111001101011110000001101100001010001011011100110010011111101011110001000001110101001011001111101100001001101010010100000000001011010001000101000011011001100001110011000110110010111100000011010101010000011001011000100010011101010101110001010000000010111000110000110000011011001011000101101111111011111111111101001110110100001100101011110001010011111111000100011010111000010110011010001100010101101110000110011000100101001110110100001010101001000100101101001011111110110101111100001000011001101000010110111010101100001111001101001010110010010011011110100011111010100000110010100000100000011110000111111101100111111010100100011110110101100101011001000011111010110110100000110001010110101110111100110010011010101111011101101100110001101001011000000100010110110010010001110010110001111001010001011110010111011011010110001010101001011110111110101010100010111100010100011000011110001110110001000001001010110011101010001010110000011100000010010001110101111100101110000100111000011111111100010011011101001100111111001010001001110001101101001001111011100011000000110110111100111011110000101010001111010010100110010100110111000110010011110110000010111101001010110011000000000100100011001001011001000110101000110000111101100011001110001011001100001011101000110000101110001110010101110011111100111010010111001000111011101011101101011000100110101110110100101101100110000001011100110110000111001011011000111101010001111111010100111101001101010011000011000000001101010111101100101001001001001101000101101101101010100110101111111001110011110101100101101010110010000100001000000010111010100010001100111110101010100000111101000100000011000010010001000011101010000111101110010100000100001001101100011000100110101000001001001110101011010000001001001010100011000011010110011100111110111001101110010101011100011110100111100110010001000111001010001001010011100000111000101000010011011101110101100101010000110000111001100111001010000011001010010101010000100111010010101101110011110100111001011111110100001011010000101000110110011001101000010001100000011101101010001111110001111110110000010001101111101011110011100101000000111010011011001101010010111100001111100000001100000110110101111011110101101000111101010101111001111111111010111000010001000101100110001011101101111011000101001010101010111111011100100000101011110011011001101111100110011011100111000100001101111100110101111000001110101101000111011011101001010111100001010101001010100001000110001100110101101011100111100011010011110111011100010001001001110011011110000100011001001100010111001001000011010010111010000001101000001011100001001000101110010100100010111000100010100010000010000110100101110101011110011111100011111101010110011000101110101100111011010100010101100011110110110011011101110000011011001100001111100000011111101000000100011101110000100000001110010111111100100000001001011000011111100010001011011010110000111101110000001100001001111111100110100000010110111011001100000100100011100111011111011000111011110101001000111111001100010100100100110001100000100011000000011010001111010101011100100111011101101010010100011101001110100001010001100100101100111011101110110110011111110011010000100101101110101110101111001111110111111101011101011110111000010000100010101100010000110100010101000001010101111111100011111001001110000100101101010101000100001100011100001110100010101011110001110110111010101110010001001100010111000111011001000001101110110000100001001111010010111110101010111010111100110011101100101100100110001100000011011100100010001111011001000000101000011011000010000000000001011011011111101110100010100101000110100001000001001101001100111010010011110110000001000111000110010101111110000111111101111001010010101010010101111010111100100010101101001000011110100100010101110000001010011111000010101010001110101110101001101011111111100001101011001010010011011100110001100001111000010000100001000011011101100000111001110010001001110111000110110100000010011001000101101100101111100101010000110111111100111111100011010011110111100010000000111110110010110101101101111110010001000100000001010011100001001110001100001000000110111011110111010110001011110010111010110001110110110111010101110110010101010010011111000111110001110011000101111010010010110010011011111011111010100011000011001110000101011010101111001001100011001000101011000100110110010010010010111100010110100110011010110100110110010100100111000010101011000010101000001111010001111001111000000111001010100101010010000101111001101001101111011100100111111000010100101111000100000001111101000001101100010000000101111000111000001111110101111110110101101101010001110100111011100101101100111111010011111110101010111111010110000111011010111111011010101100000110010101111001011001110011011100000111000111100011101111000101101110011001010111011010000001010110101001111011010011001010101011000001110000100100111000101110001111110111101110100101110101111111110101000000110111111011100010010001101011001010111110010101111110001100011011111001100110100110111100111010010000011011011110010010000101011110100101110100111100000111000011101011010011001111000101010001000011011011001010000011000011011100100100011000010011011001100101100101101000100001011111001011110101001000000100111000001011100111110011001001100011000101110001001000110100000110000001010110110100101110011111100111000010111011110011011001110011010010110000101010101000011100001110111011100011010111111001111101000101100100110110111100011111101001010001011110000000011110010110001011001001110010101011001011011010110000111111101100011010100110010110110110111000100100111111100111000000110000111111001111001011011000011010100000011100110110110000110101001110000111101001101010010011100000011100011110000101101101111001100110011011000011000011000111111001011001111010100000111011011001000011110000011001010100010101101010111100110011100001001001001000011111001011011101010000010101111010000011010000001011000011011000110010011110011101011111000010010100100011100000100001110111100010111110100111001001101000010010001011010101001110010010111010100101101011010111010010101111001011010110101100111100111100101001000101011100000110101000000110111010101010101010111110101101100111100110010110000011110101010100110110011001000001010110001111011001100011000000110101110100100110011110010001011001000101000000110010111111100111101100010001001110010011001111011101111010000110101110100000001000110011010100101110110000100001100011000010111001100100110101010100000101000100011111101110001111000101010100001001101001110111010110110101100000110011011110101110010100000111110001111111011010010010110111010110101000101001110111001001110111010100100000010110011011100010101010101010001011010110011111011001011000111010110010000000111011000100100011100110111011011101110100110001010100110101010001100001101000100100000001000100100100000000100111111111010011000001100011101100100100010001000110110011110011001100110000010000000010010001111111011000111110111110110001010010101111010011111111000011111101001111110101000101101010011000011001001001001101001001010101100010010110101101101000100000011101111100100001100111010010101111110111110011101101001110110011101001010101000101000101011001100101000000011011001100011111011101110101100111111101111111001111111101011111110101110111010110011101010110101100100111000000110000100010100110001111111000100011011011000011001111000110000010111110111001110101101001011000111111000011100010000000110000001000010011010000101001011011111101111001010101110111001001001011000000000000111110111110011010001100000111101010111101010011000111100111000001110100110111001101010010010100011111110010101010010100110000000011011110001100000011110111100111001111101110000000011110011010011010011101110110111100101111001111100010110110101010110001111000011010000000100111010011110111011010111101111010001101100001101011110110011100100111011110111011011010110100101111101010111000100010001111111111001111101010001010100000110110110010110011001111001101110100010110111100111010001011011000101000010100000101100100000101001010010110010010100100001011010000000011001010001000000010010100010011010110011110010010110110010110010010011110000010010000101101010111101110000111101000010001100001000000111110100011100001111101001101011100011101111011001110001001101011101000011101100001000100010111101110001101010010111111101100001111110110100001001010101110001100011100000000100111011101100001010110101000001010000100010010010111101000111000110110011001111000110100101011000001010001101110101110100000111111101001000011100011011011001110011011010111001001101001110110001001000101101000001111010100001010011111001011101010001100010110010101001110100101001111111000000001100111010100000110011011100110101101110000110010010011001001001000010010110000011011010001111010001000101101000011100000101011010110100101101111101011001010111001010000000100101000000010001011010011000000110110110110100101110111001001110000101110110100111000101011101001001011011001101111011001100110110011110010011010010111100010101001100001101011010100111010010111100100011101011000011000001101000111101100010000010011100100001011000011000111001101001010011011100000010111000111101100101111110011001100111000000011000010111001001110101000010011100011101001111000100111011000001011100111010011001010010111011101101111101100000110011011110100000110001101100110101101100011000001010110001101010101111110100101110000000101100010111010100001000001100000101011110110101011001000111011010101110111010001010011001010010000100110010100111010000011000111000110110100100101110100110010010111100110011111100001011001011000101100011011111011001011100111010111110010011001010110011011000010001001110010100100000000101110111001111000101000001101010010010001110001000001100001011000001101100101111011011010001100110111110010111011000110101011001100111010110110011100100101100000101010010000111111010011000110000010101001001011011100100101000111010011010110010000100010100100101111111001000001101100101001000010111011000100011000010100010010011101101100010100010000010000011101110011100110110101101110100010111000101110111000101000110101001110101110101110011011001010100100001011001010001010101111011111010000101010011001100100011000100110001000001110110100100100101000010111010000101000010000000101011101100110100101001011101111011101010110000100101101111000000100010010000111000001110111010010010001100110100100111000010011100111100000101100010010000000010111010100000010100001000100110100100101110101001010011110100110100111110101100111000100111001100011101100100110000011110001111100010100011011110100010110111111101111111110011110111010011110011110100001001000010010100010111100011010011111110001010111111111010101001010101110101110010100011101111110101100001111011101001010111100101001001110101011011110100011100011000100100110101011010010101011010011111110011010001100000000101101001000000001101110110011010101100111110111011001010111100001000010101101011010001010100001001101101001111101000101011100110010001001110111010111111111100000000100010011000100000001001110111101101001011010011000111011100000100111011011011100110111100111000000011100101000100111000001111010010101110100110111010110001101001110010000110010100100110010100010110011000001000010110001100011101110010010001011011001001111100111010011001010101010111101111111000110011011101001110110001101110011100001101101100101101010010010111010001101100010001101000000110110010110010011111011011010000111010001000010100111001111100010100010010011011110001111101011111000001001000100000010101111000011011010010000101110100100111111110010001100111000010011011000000011111011100001001010010110110111000100010011010100110111000011001001000100011010101001000011000100111000101100111011011000100100000000011100010110110000111100110110100010001111011010101011000011101011011010011111000011110111110101000011001110000001001110001110111100011110110100101001010110010111101001100110100011010001011110111101100110000111100111000010000011101111100000110010111100110111110110000011101000010010010011011000110001111110100000100101010001110100100011001101110000101010001110010010001001000000110010001110101110111110100001010010111001111110000011111001110101111000110010000100101101011101011010001111000110010001101001110101000001000011110001101011010010110000001000110011110000001101001010001101110110001111001010101011000001001100100100011000010111000001101011111001111001000010101110000010111000011111011110101111101110101000010101100100011011100010110011001100101101110110010000110001001111011101111110010111000001000111100011001001100101011000001011001111111010000011001110000101000000111111001101000010110101000101010111111101010110111110101010000011011101111100110001011011000110101101110110110010100000010110100111000100101100011011100100001011101100001000100101110101000000011011111110111011100100001001110101101001000001000111111011000001010100001111111000001000111110111101100000011001001011010101000100000111010011101001001100010100001001000100010111001111101101101100100100100000001111000010000101110100111101001101100101011111010110101001101101011011011111101110010011101011010011101010001110111111110101110111101111111101010110110001100001001100110101110001011100010100101111110111010110100110001011100000100110111011010100010101001000111000010011000110100001001110010101111100111110111111011011100101000111111101100000010101101101100000010010100100110110010001011000111100011000101100101011110110011100100001111101011000101100101001001101001000111010010000111111010110110000111101011110000001110011010111011010010100000011000110100110101111011000111011110100101000011010001011101101110001000010101000101110111110110011001101000110101101001001001011001001101101010100100111000110101110001101101011011100100100011011001010001011111101101111111001010001001010110000111011110010101111110010010111100010101011101100111000100000110001000111101101100011000010010101111111001011100110100000001110110010000101111111001111110000001110000010010010110010100010101010100100000001101011101101100001100101000100110100000110001101010010101000001011000100000010101110100000010111001101011000101100101100100010001101111011100000011011101010011011110101100010100100011010100101010101001100111101111010000100111111001001110100011011011000001010101110000100100000111111010110010000001011100111010010110010101110110111110111101011110100000101001001101000111000111101000100111101101100001100000100101010101100100100110111000101101110010001010000111111101101110000101000000001111110011000000001101111100111011100110011101111010001010111010110101011100000101011001111101111100101111100001010110100111000110011101010111011111001011110001101100001001001111110111101101111010100010010111001010011000111100101110010100000111101000100111001111010101111100101001110000111011001110011011011100000011001111001110101100101110001000110001101111110101111001000100101111011111001011111000010010000110100100101111111000010001101000010010010000110010000111111101111111011110000010100011101101000111011101000011110000011101011111011011101011111110100100001010001111110010010001010100111100001001001001101110110011010000011110011111101100010011000010111011010001000111001010011100010001001001101101010001000011001100110111000110111000001111111101101111011111111101111110100010001011000100110000010000011000101100000111101101111000100010000111100001011011101001001001000100011010111101110110100101110101101101101001011111101101011100000000011001110001001111101000100100111010111000010100001011101100011101101011111101100001100010010101110111000010001010000110001011111100000110100001101001110110011011101101110101000000101101000001000001111010100100011001111100111101101011111101101011010010001111000100110111100110111011100101100101100010011000101011100010111000110001011101011101001100111101000010010000010010110010010111110110010000010010000011001011010000100111010000010101111111001010111101100101000000011011010011010100101101000101011001101000010111010101100010011100010101110101101001110111001100111111000101111011011010001010000001001101011010100010101100001101001000011010110110101000011111010010000110110111100100110100101110111100100001101110110000101011000111111010111001000101110111101101111011111111111100000100001110001110101010011010001001110100011101101010100010101100001111110110001110010110111100000100011001011111100111010101101101100001101011111100101110010010011001111111000101110010011001001001010010111111100001010001101100000110110010000101000101101011110001111110110100110101110001011111111010010111000110100001100100101010001110011101111101011111010100011000110110110101101001100010000000101010011100010010001110010100011101010111101101100011110101000010001110001000010001110001101100011101001001011100010100001011100011010010001011010101101111111011101110111111110011001011111111100110010011101100001011101010010100100001100011010101100011100101000011001111000111110110100011001110101100011110110010010011001111111111100001001101110001100001000001001110101010111100011111111001001001111000000000101111101111101010111111000001000000111101010101111101001111110111111010010100100011011111011111000110011010010011011001100001001110101110111010110010100000010110101000011001011101111010110000000101011001100100100011100101000011000101000001111001000001011111011000100100100001100110101100100010110111110001011101001101110010110110001000001110010011101101011101101010010001110000001001111001111000110010111111010111111010110110101000101010111010011001101100101000110001001100001010100010011010011010011000000010111100111010110101000100000110110111011110001100110000111111110110111000011111101100101011110110110000001010000110110101100000001011011111110000111110000001101010011010111100001110101110001000010011001111001001010111010100100101101010010110000111101111101001111001010000111110101001100111001011100100110110111010011111001001010100111101010000101001010001011011000100001001001010001110010011011010100010100110100110000101000110110001010011101001011001000111010001110000111111110111010111001101010011111011101100011110101000011110011000101111011100001111001001100010001100101000001101100010110000010101001000101000011100000000111110101001000100001111010110111010101010001000000000010000000110111111011110101111000100010101001100111000101001001010101101011100101110011110111001101100001111101001010110001101010101100001111111111000101111001110110001010000001101000000110010100001010111110011000001110110100101010110111100010000110110111111101111011010111110100001000110111100100010101100010110000001110110001100001001111101111111111110100001000011100001100011010110011100000101001000110101010001000110101111110011000111001111011110111001000001010100011001001100001101000011000011110001011100100000000101111100010101101001000101100101000000100011111010111100110101011101000000011111110011010111100000011011000010100010110111001100100111111010111100010000011101010010110011111011000010011010100101000000000010110100010001010000110110011000011100110001101100101111000000110101010100000110010110001000100111010101011100010100000000101110001100001100000110110010110001011011111110111111111111010011101101000011001010111100010100111111110001000110101110000101100110100011000101011011100001100110001001010011101101000010101010010001001011010010111111101101011111000010000110011010000101101110101011000011110011010010101100100100110111101000111110101000001100101000001000000111100001111111011001111110101001000111101101011001010110010000111110101101101000001100010101101011101111001100100110101011110111011011001100011010010110000001000101101100100100011100101100011110010100010111100101110110110101100010101010010111101111101010101000101111000101000110000111100011101100010000010010101100111010100010101100000111000000100100011101011111001011100001001110000111111111000100110111010011001111110010100010011100011011010010011110111000110000001101101111001110111100001010100011110100101001100101001101110001100100111101100000101111010010101100110000000001001000110010010110010001101010001100001111011000110011100010110011000010111010001100001011100011100101011100111111001110100101110010001110111010111011010110001001101011101101001011011001100000010111001101100001110010110110001111010100011111110101001111010011010100110000110000000011010101111011001010010010010011010001011011011010101001101011111110011100111101011001011010101100100001000010000000101110101000100011001111101010101000001111010001000000110000100100010000111010100001111011100101000001000010011011000110001001101010000010010011101010110100000010010010101000110000110101100111001111101110011011100101010111000111101001111001100100010001110010100010010100111000001110001010000100110111011101011001010100001100001110011001110010100000110010100101010100001001110100101011011100111101001110010111111101000010110100001010001101100110011010000100011000000111011010100011111100011111101100000100011011111010111100111001010000001110100110110011010100101111000011111000000011000001101101011110111101011010001111010101011110011111111110101110000100010001011001100010111011011110110001010010101010101111110111001000001010111100110110011011111001100110111001110001000011011111001101011110000011101011010001110110111010010101111000010101010010101000010001100011001101011010111001111000110100111101110111000100010010011100110111100001000110010011000101110010010000110100101110100000011010000010111000010010001011100101001000101110001000101000100000100001101001011101010111100111111000111111010101100110001011101011001110110101000101011000111101101100110111011100000110110011000011111000000111111010000001000111011100001000000011100101111111001000000010010110000111111000100010110110101100001111011100000011000010011111111001101000000101101110110011000001001000111001110111110110001110111101010010001111110011000101001001001100011000001000110000000110100011110101010111001001110111011010100101000111010011101000010100011001001011001110111011101101100111111100110100001001011011101011101011110011111101111111010111010111101110000100001000101011000100001101000101010000010101011111111000111110010011100001001011010101010001000011000111000011101000101010111100011101101110101011100100010011000101110001110110010000011011101100001000010011110100101111101010101110101111001100111011001011001001100011000000110111001000100011110110010000001010000110110000100000000000010110110111111011101000101001010001101000010000010011010011001110100100111101100000010001110001100101011111100001111111011110010100101010100101011110101111001000101011010010000111101001000101011100000010100111110000101010100011101011101010011010111111111000011010110010100100110111001100011000011110000100001000010000110111011000001110011100100010011101110001101101000000100110010001011011001011111001010100001101111111001111111000110100111101111000100000001111101100101101011011011111100100010001000000010100111000010011100011000010000001101110111101110101100010111100101110101100011101101101110101011101100101010100100111110001111100011100110001011110100100101100100110111110111110101000110000110011100001010110101011110010011000110010001010110001001101100100100100101111000101101001100110101101001101100101001001110000101010110000101010000011110100011110011110000001110010101001010100100001011110011010011011110111001001111110000101001011110001000000011111010000011011000100000001011110001110000011111101011111101101011011010100011101001110111001011011001111110100111111101010101111110101100001110110101111110110101011000001100101011110010110011100110111000001110001111000111011110001011011100110010101110110100000010101101010011110110100110010101010110000011100001001001110001011100011111101111011101001011101011111111101010000001101111110111000100100011010110010101111100101011111100011000110111110011001101001101111001110100100000110110111100100100001010111101001011101001111000001110000111010110100110011110001010100010000110110110010100000110000110111001001000110000100110110011001011001011010001000010111110010111101010010000001001110000010111001111100110010011000110001011100010010001101000001100000010101101101001011100111111001110000101110111100110110011100110100101100001010101010000111000011101110111000110101111110011111010001011001001101101111000111111010010100010111100000000111100101100010110010011100101010110010110110101100001111111011000110101001100101101101101110001001001111111001110000001100001111110011110010110110000110101000000111001101101100001101010011100001111010011010100100111000000111000111100001011011011110011001100110110000110000110001111110010110011110101000001110110110010000111100000110010101000101011010101111001100111000010010010010000111110010110111010100000101011110100000110100000010110000110110001100100111100111010111110000100101001000111000001000011101111000101111101001110010011010000100100010110101010011100100101110101001011010110101110100101011110010110101101011001111001111001010010001010111000001101010000001101110101010101010101111101011011001111001100101100000111101010101001101100110010000010101100011110110011000110000001101011101001001100111100100010110010001010000001100101111111001111011000100010011100100110011110111011110100001101011101000000010001100110101001011101100001000011000110000101110011001001101010101000001010001000111111011100011110001010101000010011010011101110101101101011000001100110111101011100101000001111100011111110110100100101101110101101010001010011101110010011101110101001000000101100110111000101010101010100010110101100111110110010110001110101100100000001110110001001000111001101110110111011101001100010101001101010100011000011010001001000000010001001001000000001001111111110100110000011000111011001001000100010001101100111100110011001100000100000000100100011111110110001111101111101100010100101011110100111111110000111111010011111101010001011010100110000110010010010011010010010101011000100101101011011010001000000111011111001000011001110100101011111101111100111011010011101100111010010101010001010001010110011001010000000110110011000111110111011101011001111111011111110011111111010111111101011101110101100111010101101011001001110000001100001000101001100011111110001000110110110000110011110001100000101111101110011101011010010110001111110000111000100000001100000010000100110100001010010110111111011110010101011101110010010010110000000000001111101111100110100011000001111010101111010100110001111001110000011101001101110011010100100101000111111100101010100101001100000000110111100011000000111101111001110011111011100000000111100110100110100111011101101111001011110011111000101101101010101100011110000110100000001001110100111101110110101111011110100011011000011010111101100111001001110111101110110110101101001011111010101110001000100011111111110011111010100010101000001101101100101100110011110011011101000101101111001110100010110110001010000101000001011001000001010010100101100100101001000010110100000000110010100010000000100101000100110101100111100100101101100101100100100111100000100100001011010101111011100001111010000100011000010000001111101000111000011111010011010111000111011110110011100010011010111010000111011000010001000101111011100011010100101111111011000011111101101000010010101011100011000111000000001001110111011000010101101010000010100001000100100101111010001110001101100110011110001101001010110000010100011011101011101000001111111010010000111000110110110011100110110101110010011010011101100010010001011010000011110101000010100111110010111010100011000101100101010011101001010011111110000000011001110101000001100110111001101011011100001100100100110010010010000100101100000110110100011110100010001011010000111000001010110101101001011011111010110010101110010100000001001010000000100010110100110000001101101101101001011101110010011100001011101101001110001010111010010010110110011011110110011001101100111100100110100101111000101010011000011010110101001110100101111001000111010110000110000011010001111011000100000100111001000010110000110001110011010010100110111000000101110001111011001011111100110011001110000000110000101110010011101010000100111000111010011110001001110110000010111001110100110010100101110111011011111011000001100110111101000001100011011001101011011000110000010101100011010101011111101001011100000001011000101110101000010000011000001010111101101010110010001110110101011101110100010100110010100100001001100101001110100000110001110001101101001001011101001100100101111001100111111000010110010110001011000110111110110010111001110101111100100110010101100110110000100010011100101001000000001011101110011110001010000011010100100100011100010000011000010110000011011001011110110110100011001101111100101110110001101010110011001110101101100111001001011000001010100100001111110100110001100000101010010010110111001001010001110100110101100100001000101001001011111110010000011011001010010000101110110001000110000101000100100111011011000101000100000100000111011100111001101101011011101000101110001011101110001010001101010011101011101011100110110010101001000010110010100010101011110111110100001010100110011001000110001001100010000011101101001001001010000101110100001010000100000001010111011001101001010010111011110111010101100001001011011110000001000100100001110000011101110100100100011001101001001110000100111001111000001011000100100000000101110101000000101000010001001101001001011101010010100111101001101001111101011001110001001110011000111011001001100000111100011111000101000110111101000101101111111011111111100111101110100111100111101000010010000100101000101111000110100111111100010101111111110101010010101011101011100101000111011111101011000011110111010010101111001010010011101010110111101000111000110001001001101010110100101010110100111111100110100011000000001011010010000000011011101100110101011001111101110110010101111000010000101011010110100010101000010011011010011111010001010111001100100010011101110101111111111000000001000100110001000000010011101111011010010110100110001110111000001001110110110111001101111001110000000111001010001001110000011110100101011101001101110101100011010011100100001100101001001100101000101100110000010000101100011000111011100100100010110110010011111001110100110010101010101111011111110001100110111010011101100011011100111000011011011001011010100100101110100011011000100011010000001101100101100100111110110110100001110100010000101001110011111000101000100100110111100011111010111110000010010001000000101011110000110110100100001011101001001111111100100011001110000100110110000000111110111000010010100101101101110001000100110101001101110000110010010001000110101010010000110001001110001011001110110110001001000000000111000101101100001111001101101000100011110110101010110000111010110110100111110000111101111101010000110011100000010011100011101111000111101101001010010101100101111010011001101000110100010111101111011001100001111001110000100000111011111000001100101111001101111101100000111010000100100100110110001100011111101000001001010100011101001000110011011100001010100011100100100010010000001100100011101011101111101000010100101110011111100000111110011101011110001100100001001011010111010110100011110001100100011010011101010000010000111100011010110100101100000010001100111100000011010010100011011101100011110010101010110000010011001001000110000101110000011010111110011110010000101011100000101110000111110111101011111011101010000101011001000110111000101100110011001011011101100100001100010011110111011111100101110000010001111000110010011001010110000010110011111110100000110011100001010000001111110011010000101101010001010101111111010101101111101010100000110111011111001100010110110001101011011101101100101000000101101001110001001011000110111001000010111011000010001001011101010000000110111111101110111001000010011101011010010000010001111110110000010101000011111110000010001111101111011000000110010010110101010001000001110100111010010011000101000010010001000101110011111011011011001001001000000011110000100001011101001111010011011001010111110101101010011011010110110111111011100100111010110100111010100011101111111101011101111011111111010101101100011000010011001101011100010111000101001011111101110101101001100010111000001001101110110101000101010010001110000100110001101000010011100101011111001111101111110110111001010001111111011000000101011011011000000100101001001101100100010110001111000110001011001010111101100111001000011111010110001011001010010011010010001110100100001111110101101100001111010111100000011100110101110110100101000000110001101001101011110110001110111101001010000110100010111011011100010000101010001011101111101100110011010001101011010010010010110010011011010101001001110001101011100011011010110111001001000110110010100010111111011011111110010100010010101100001110111100101011111100100101111000101010111011001110001000001100010001111011011000110000100101011111110010111001101000000011101100100001011111110011111100000011100000100100101100101000101010101001000000011010111011011000011001010001001101000001100011010100101010000010110001000000101011101000000101110011010110001011001011001000100011011110111000000110111010100110111101011000101001000110101001010101010011001111011110100001001111110010011101000110110110000010101011100001001000001111110101100100000010111001110100101100101011101101111101111010111101000001010010011010001110001111010001001111011011000011000001001010101011001001001101110001011011100100010100001111111011011100001010000000011111100110000000011011111001110111001100111011110100010101110101101010111000001010110011111011111001011111000010101101001110001100111010101110111110010111100011011000010010011111101111011011110101000100101110010100110001111001011100101000001111010001001110011110101011111001010011100001110110011100110110111000000110011110011101011001011100010001100011011111101011110010001001011110111110010111110000100100001101001001011111110000100011010000100100100001100100001111111011111110111100000101000111011010001110111010000111100000111010111110110111010111111101001000010100011111100100100010101001111000010010010011011101100110100000111100111111011000100110000101110110100010001110010100111000100010010011011010100010000110011001101110001101110000011111111011011110111111111011111101000100010110001001100000100000110001011000001111011011110001000100001111000010110111010010010010001000110101111011101101001011101011011011010010111111011010111000000000110011100010011111010001001001110101110000101000010111011000111011010111111011000011000100101011101110000100010100001100010111111000001101000011010011101100110111011011101010000001011010000010000011110101001000110011111001111011010111111011010110100100011110001001101111001101110111001011001011000100110001010111000101110001100010111010111010011001111010000100100000100101100100101111101100100000100100000110010110100001001110100000101011111110010101111011001010000000110110100110101001011010001010110011010000101110101011000100111000101011101011010011101110011001111110001011110110110100010100000010011010110101000101011000011010010000110101101101010000111110100100001101101111001001101001011101111001000011011101100001010110001111110101110010001011101111011011110111111111111000001000011100011101010100110100010011101000111011010101000101011000011111101100011100101101111000001000110010111111001110101011011011000011010111111001011100100100110011111110001011100100110010010010100101111111000010100011011000001101100100001010001011010111100011111101101001101011100010111111110100101110001101000011001001010100011100111011111010111110101000110001101101101011010011000100000001010100111000100100011100101000111010101111011011000111101010000100011100010000100011100011011000111010010010111000101000010111000110100100010110101011011111110111011101111111100110010111111111001100100111011000010111010100101001000011000110101011000111001010000110011110001111101101000110011101011000111101100100100110011111111111000010011011100011000010000010011101010101111000111111110010010011110000000001011111011111010101111110000010000001111010101011111010011111101111110100101001000110111110111110001100110100100110110011000010011101011101110101100101000000101101010000110010111011110101100000001010110011001001000111001010000110001010000011110010000010111110110001001001000011001101011001000101101111100010111010011011100101101100010000011100100111011010111011010100100011100000010011110011110001100101111110101111110101101101010001010101110100110011011001010001100010011000010101000100110100110100110000000101111001110101101010001000001101001110111100011001100001111111101101110000111111011001010111101101100000010100001101101011000000010110111111100001111100000011010100110101111000011101011100010000100110011110010010101110101001001011010100101100001111011111010011110010100001111101010011001110010111001001101101110100111110010010101001111010100001010010100010110110001000010010010100011100100110110101000101001101001100001010001101100010100111010010110010001110100011100001111111101110101110011010100111110111011000111101010000111100110001011110111000011110010011000100011001010000011011000101100000101010010001010000111000000001111101010010001000011110101101110101010100010000000000100000001101111110111101011110001000101010011001110001010010010101011010111001011100111101110011011000011111010010101100011010101011000011111111110001011110011101100010100000011010000001100101000010101111100110000011101101001010101101111000100001101101111111011110110101111101000010001101111001000101011000101100000011101100011000010011111011111111111101000010000111000011000110101100111000001010010001101010100010001101011111100110001110011110111101110010000010101000110010011000011010000110000111100010111001000000001011111000101011010010001011001010000001000111110101111001101010111010000000111111100110101111000000110110000101000101101110011001001111110101111000100000111010100101100111110110000100110101001010000000000101101000100010100001101100110000111001100011011001011110000001101010101000001100101100010001001110101010111000101000000001011100011000011000001101100101100010110111111101111111111110100111011010000110010101111000101001111111100010001101011100001011001101000110001010110111000011001100010010100111011010000101010100100010010110100101111111011010111110000100001100110100001011011101010110000111100110100101011001001001101111010001111101010000011001010000010000001111000011111110110011111101010010001111011010110010101100100001111101011011010000011000101011010111011110011001001101010111101110110110011000110100101100000010001011011001001000111001011000111100101000101111001011101101101011000101010100101111011111010101010001011110001010001100001111000111011000100000100101011001110101000101011000001110000001001000111010111110010111000010011100001111111110001001101110100110011111100101000100111000110110100100111101110001100000011011011110011101111000010101000111101001010011001010011011100011001001111011000001011110100101011001100000000010010001100100101100100011010100011000011110110001100111000101100110000101110100011000010111000111001010111001111110011101001011100100011101110101110110101100010011010111011010010110110011000000101110011011000011100101101100011110101000111111101010011110100110101001100001100000000110101011110110010100100100100110100010110110110101010011010111111100111001111010110010110101011001000010000100000001011101010001000110011111010101010000011110100010000001100001001000100001110101000011110111001010000010000100110110001100010011010100000100100111010101101000000100100101010001100001101011001110011111011100110111001010101110001111010011110011001000100011100101000100101001110000011100010100001001101110111010110010101000011000011100110011100101000001100101001010101000010011101001010110111001111010011100101111111010000101101000010100011011001100110100001000110000001110110101000111111000111111011000001000110111110101111001110010100000011101001101100110101001011110000111110000000110000011011010111101111010110100011110101010111100111111111101011100001000100010110011000101110110111101100010100101010101011111101110010000010101111001101100110111110011001101110011100010000110111110011010111100000111010110100011101101110100101011110000101010100101010000100011000110011010110101110011110001101001111011101110001000100100111001101111000010001100100110001011100100100001101001011101000000110100000101110000100100010111001010010001011100010001010001000001000011010010111010101111001111110001111110101011001100010111010110011101101010001010110001111011011001101110111000001101100110000111110000001111110100000010001110111000010000000111001011111110010000000100101100001111110001000101101101011000011110111000000110000100111111110011010000001011011101100110000010010001110011101111101100011101111010100100011111100110001010010010011000110000010001100000001101000111101010101110010011101110110101001010001110100111010000101000110010010110011101110111011011001111111001101000010010110111010111010111100111111011111110101110101111011100001000010001010110001000011010001010100000101010111111110001111100100111000010010110101010100010000110001110000111010001010101111000111011011101010111001000100110001011100011101100100000110111011000010000100111101001011111010101011101011110011001110110010110010011000110000001101110010001000111101100100000010100001101100001000000000000101101101111110111010001010010100011010000100000100110100110011101001001111011000000100011100011001010111111000011111110111100101001010101001010111101011110010001010110100100001111010010001010111000000101001111100001010101000111010111010100110101111111110000110101100101001001101110011000110000111100001000010000100001101110110000011100111001000100111011100011011010000001001100100010110110010111110010101000011011111110011111110001101001111011110001000000011111011001011010110110111111001000100010000000101001110000100111000110000100000011011101111011101011000101111001011101011000111011011011101010111011001010101001001111100011111000111001100010111101001001011001001101111101111101010001100001100111000010101101010111100100110001100100010101100010011011001001001001011110001011010011001101011010011011001010010011100001010101100001010100000111101000111100111100000011100101010010101001000010111100110100110111101110010011111100001010010111100010000000111110100000110110001000000010111100011100000111111010111111011010110110101000111010011101110010110110011111101001111111010101011111101011000011101101011111101101010110000011001010111100101100111001101110000011100011110001110111100010110111001100101011101101000000101011010100111101101001100101010101100000111000010010011100010111000111111011110111010010111010111111111010100000011011111101110001001000110101100101011111001010111111000110001101111100110011010011011110011101001000001101101111001001000010101111010010111010011110000011100001110101101001100111100010101000100001101101100101000001100001101110010010001100001001101100110010110010110100010000101111100101111010100100000010011100000101110011111001100100110001100010111000100100011010000011000000101011011010010111001111110011100001011101111001101100111001101001011000010101010100001110000111011101110001101011111100111110100010110010011011011110001111110100101000101111000000001111001011000101100100111001010101100101101101011000011111110110001101010011001011011011011100010010011111110011100000011000011111100111100101101100001101010000001110011011011000011010100111000011110100110101001001110000001110001111000010110110111100110011001101100001100001100011111100101100111101010000011101101100100001111000001100101010001010110101011110011001110000100100100100001111100101101110101000001010111101000001101000000101100001101100011001001111001110101111100001001010010001110000010000111011110001011111010011100100110100001001000101101010100111001001011101010010110101101011101001010111100101101011010110011110011110010100100010101110000011010100000011011101010101010101011111010110110011110011001011000001111010101010011011001100100000101011000111101100110001100000011010111010010011001111001000101100100010100000011001011111110011110110001000100111001001100111101110111101000011010111010000000100011001101010010111011000010000110001100001011100110010011010101010000010100010001111110111000111100010101010000100110100111011101011011010110000011001101111010111001010000011111000111111101101001001011011101011010100010100111011100100111011101010010000001011001101110001010101010101000101101011001111101100101100011101011001000000011101100010010001110011011101101110111010011000101010011010101000110000110100010010000000100010010010000000010011111111101001100000110001110110010010001000100011011001111001100110011000001000000001001000111111101100011111011111011000101001010111101001111111100001111110100111111010100010110101001100001100100100100110100100101010110001001011010110110100010000001110111110010000110011101001010111111011111001110110100111011001110100101010100010100010101100110010100000001101100110001111101110111010110011111110111111100111111110101111111010111011101011001110101011010110010011100000011000010001010011000111111100010001101101100001100111100011000001011111011100111010110100101100011111100001110001000000011000000100001001101000010100101101111110111100101010111011100100100101100000000000011111011111001101000110000011110101011110101001100011110011100000111010011011100110101001001010001111111001010101001010011000000001101111000110000001111011110011100111110111000000001111001101001101001110111011011110010111100111110001011011010101011000111100001101000000010011101001111011101101011110111101000110110000110101111011001110010011101111011101101101011010010111110101011100010001000111111111100111110101000101010000011011011001011001100111100110111010001011011110011101000101101100010100001010000010110010000010100101001011001001010010000101101000000001100101000100000001001010001001101011001111001001011011001011001001001111000001001000010110101011110111000011110100001000110000100000011111010001110000111110100110101110001110111101100111000100110101110100001110110000100010001011110111000110101001011111110110000111111011010000100101010111000110001110000000010011101110110000101011010100000101000010001001001011110100011100011011001100111100011010010101100000101000110111010111010000011111110100100001110001101101100111001101101011100100110100111011000100100010110100000111101010000101001111100101110101000110001011001010100111010010100111111100000000110011101010000011001101110011010110111000011001001001100100100100001001011000001101101000111101000100010110100001110000010101101011010010110111110101100101011100101000000010010100000001000101101001100000011011011011010010111011100100111000010111011010011100010101110100100101101100110111101100110011011001111001001101001011110001010100110000110101101010011101001011110010001110101100001100000110100011110110001000001001110010000101100001100011100110100101001101110000001011100011110110010111111001100110011100000001100001011100100111010100001001110001110100111100010011101100000101110011101001100101001011101110110111110110000011001101111010000011000110110011010110110001100000101011000110101010111111010010111000000010110001011101010000100000110000010101111011010101100100011101101010111011101000101001100101001000010011001010011101000001100011100011011010010010111010011001001011110011001111110000101100101100010110001101111101100101110011101011111001001100101011001101100001000100111001010010000000010111011100111100010100000110101001001000111000100000110000101100000110110010111101101101000110011011111001011101100011010101100110011101011011001110010010110000010101001000011111101001100011000001010100100101101110010010100011101001101011001000010001010010010111111100100000110110010100100001011101100010001100001010001001001110110110001010001000001000001110111001110011011010110111010001011100010111011100010100011010100111010111010111001101100101010010000101100101000101010111101111101000010101001100110010001100010011000100000111011010010010010100001011101000010100001000000010101110110011010010100101110111101110101011000010010110111100000010001001000011100000111011101001001000110011010010011100001001110011110000010110001001000000001011101010000001010000100010011010010010111010100101001111010011010011111010110011100010011100110001110110010011000001111000111110001010001101111010001011011111110111111111001111011101001111001111010000100100001001010001011110001101001111111000101011111111101010100101010111010111001010001110111111010110000111101110100101011110010100100111010101101111010001110001100010010011010101101001010101101001111111001101000110000000010110100100000000110111011001101010110011111011101100101011110000100001010110101101000101010000100110110100111110100010101110011001000100111011101011111111110000000010001001100010000000100111011110110100101101001100011101110000010011101101101110011011110011100000001110010100010011100000111101001010111010011011101011000110100111001000011001010010011001010001011001100000100001011000110001110111001001000101101100100111110011101001100101010101011110111111100011001101110100111011000110111001110000110110110010110101001001011101000110110001000110100000011011001011001001111101101101000011101000100001010011100111110001010001001001101111000111110101111100000100100010000001010111100001101101001000010111010010011111111001000110011100001001101100000001111101110000100101001011011011100010001001101010011011100001100100100010001101010100100001100010011100010110011101101100010010000000001110001011011000011110011011010001000111101101010101100001110101101101001111100001111011111010100001100111000000100111000111011110001111011010010100101011001011110100110011010001101000101111011110110011000011110011100001000001110111110000011001011110011011111011000001110100001001001001101100011000111111010000010010101000111010010001100110111000010101000111001001000100100000011001000111010111011111010000101001011100111111000001111100111010111100011001000010010110101110101101000111100011001000110100111010100000100001111000110101101001011000000100011001111000000110100101000110111011000111100101010101100000100110010010001100001011100000110101111100111100100001010111000001011100001111101111010111110111010100001010110010001101110001011001100110010110111011001000011000100111101110111111001011100000100011110001100100110010101100000101100111111101000001100111000010100000011111100110100001011010100010101011111110101011011111010101000001101110111110011000101101100011010110111011011001010000001011010011100010010110001101110010000101110110000100010010111010100000001101111111011101110010000100111010110100100000100011111101100000101010000111111100000100011111011110110000001100100101101010100010000011101001110100100110001010000100100010001011100111110110110110010010010000000111100001000010111010011110100110110010101111101011010100110110101101101111110111001001110101101001110101000111011111111010111011110111111110101011011000110000100110011010111000101110001010010111111011101011010011000101110000010011011101101010001010100100011100001001100011010000100111001010111110011111011111101101110010100011111110110000001010110110110000001001010010011011001000101100011110001100010110010101111011001110010000111110101100010110010100100110100100011101001000011111101011011000011110101111000000111001101011101101001010000001100011010011010111101100011101111010010100001101000101110110111000100001010100010111011111011001100110100011010110100100100101100100110110101010010011100011010111000110110101101110010010001101100101000101111110110111111100101000100101011000011101111001010111111001001011110001010101110110011100010000011000100011110110110001100001001010111111100101110011010000000111011001000010111111100111111000000111000001001001011001010001010101010010000000110101110110110000110010100010011010000011000110101001010100000101100010000001010111010000001011100110101100010110010110010001000110111101110000001101110101001101111010110001010010001101010010101010100110011110111101000010011111100100111010001101101100000101010111000010010000011111101011001000000101110011101001011001010111011011111011110101111010000010100100110100011100011110100010011110110110000110000010010101010110010010011011100010110111001000101000011111110110111000010100000000111111001100000000110111110011101110011001110111101000101011101011010101110000010101100111110111110010111110000101011010011100011001110101011101111100101111000110110000100100111111011110110111101010001001011100101001100011110010111001010000011110100010011100111101010111110010100111000011101100111001101101110000001100111100111010110010111000100011000110111111010111100100010010111101111100101111100001001000011010010010111111100001000110100001001001000011001000011111110111111101111000001010001110110100011101110100001111000001110101111101101110101111111010010000101000111111001001000101010011110000100100100110111011001101000001111001111110110001001100001011101101000100011100101001110001000100100110110101000100001100110011011100011011100000111111110110111101111111110111111010001000101100010011000001000001100010110000011110110111100010001000011110000101101110100100100100010001101011110111011010010111010110110110100101111110110101110000000001100111000100111110100010010011101011100001010000101110110001110110101111110110000110001001010111011100001000101000011000101111110000011010000110100111011001101110110111010100000010110100000100000111101010010001100111110011110110101111110110101101001000111100010011011110011011101110010110010110001001100010101110001011100011000101110101110100110011110100001001000001001011001001011111011001000001001000001100101101000010011101000001010111111100101011110110010100000001101101001101010010110100010101100110100001011101010110001001110001010111010110100111011100110011111100010111101101101000101000000100110101101010001010110000110100100001101011011010100001111101001000011011011110010011010010111011110010000110111011000010101100011111101011100100010111011110110111101111111111110000010000111000111010101001101000100111010001110110101010001010110000111111011000111001011011110000010001100101111110011101010110110110000110101111110010111001001001100111111100010111001001100100100101001011111110000101000110110000011011001000010100010110101111000111111011010011010111000101111111101001011100011010000110010010101000111001110111110101111101010001100011011011010110100110001000000010101001110001001000111001010001110101011110110110001111010100001000111000100001000111000110110001110100100101110001010000101110001101001000101101010110111111101110111011111111001100101111111110011001001110110000101110101001010010000110001101010110001110010100001100111100011111011010001100111010110001111011001001001100111111111110000100110111000110000100000100111010101011110001111111100100100111100000000010111110111110101011111100000100000011110101010111110100111111011111101001010010001101111101111100011001101001001101100110000100111010111011101011001010000001011010100001100101110111101011000000010101100110010010001110010100001100010100000111100100000101111101100010010010000110011010110010001011011111000101110100110111001011011000100000111001001110110101110110101001000111000000100111100111100011001011111101011111101011011010100010101011101001100110110010100011000100110000101010001001101001101001100000001011110011101011010100010000011010011101111000110011000011111111011011100001111110110010101111011011000000101000011011010110000000101101111111000011111000000110101001101011110000111010111000100001001100111100100101011101010010010110101001011000011110111110100111100101000011111010100110011100101110010011011011101001111100100101010011110101000010100101000101101100010000100100101000111001001101101010001010011010011000010100011011000101001110100101100100011101000111000011111111011101011100110101001111101110110001111010100001111001100010111101110000111100100110001000110010100000110110001011000001010100100010100001110000000011111010100100010000111101011011101010101000100000000001000000011011111101111010111100010001010100110011100010100100101010110101110010111001111011100110110000111110100101011000110101010110000111111111100010111100111011000101000000110100000011001010000101011111001100000111011010010101011011110001000011011011111110111101101011111010000100011011110010001010110001011000000111011000110000100111110111111111111010000100001110000110001101011001110000010100100011010101000100011010111111001100011100111101111011100100000101010001100100110000110100001100001111000101110010000000010111110001010110100100010110010100000010001111101011110011010101110100000001111111001101011110000001101100001010001011011100110010011111101011110001000001110101001011001111101100001001101010010100000000001011010001000101000011011001100001110011000110110010111100000011010101010000011001011000100010011101010101110001010000000010111000110000110000011011001011000101101111111011111111111101001110110100001100101011110001010011111111000100011010111000010110011010001100010101101110000110011000100101001110110100001010101001000100101101001011111110110101111100001000011001101000010110111010101100001111001101001010110010010011011110100011111010100000110010100000100000011110000111111101100111111010100100011110110101100101011001000011111010110110100000110001010110101110111100110010011010101111011101101100110001101001011000000100010110110010010001110010110001111001010001011110010111011011010110001010101001011110111110101010100010111100010100011000011110001110110001000001001010110011101010001010110000011100000010010001110101111100101110000100111000011111111100010011011101001100111111001010001001110001101101001001111011100011000000110110111100111011110000101010001111010010100110010100110111000110010011110110000010111101001010110011000000000100100011001001011001000110101000110000111101100011001110001011001100001011101000110000101110001110010101110011111100111010010111001000111011101011101101011000100110101110110100101101100110000001011100110110000111001011011000111101010001111111010100111101001101010011000011000000001101010111101100101001001001001101000101101101101010100110101111111001110011110101100101101010110010000100001000000010111010100010001100111110101010100000111101000100000011000010010001000011101010000111101110010100000100001001101100011000100110101000001001001110101011010000001001001010100011000011010110011100111110111001101110010101011100011110100111100110010001000111001010001001010011100000111000101000010011011101110101100101010000110000111001100111001010000011001010010101010000100111010010101101110011110100111001011111110100001011010000101000110110011001101000010001100000011101101010001111110001111110110000010001101111101011110011100101000000111010011011001101010010111100001111100000001100000110110101111011110101101000111101010101111001111111111010111000010001000101100110001011101101111011000101001010101010111111011100100000101011110011011001101111100110011011100111000100001101111100110101111000001110101101000111011011101001010111100001010101001010100001000110001100110101101011100111100011010011110111011100010001001001110011011110000100011001001100010111001001000011010010111010000001101000001011100001001000101110010100100010111000100010100010000010000110100101110101011110011111100011111101010110011000101110101100111011010100010101100011110110110011011101110000011011001100001111100000011111101000000100011101110000100000001110010111111100100000001001011000011111100010001011011010110000111101110000001100001001111111100110100000010110111011001100000100100011100111011111011000111011110101001000111111001100010100100100110001100000100011000000011010001111010101011100100111011101101010010100011101001110100001010001100100101100111011101110110110011111110011010000100101101110101110101111001111110111111101011101011110111000010000100010101100010000110100010101000001010101111111100011111001001110000100101101010101000100001100011100001110100010101011110001110110111010101110010001001100010111000111011001000001101110110000100001001111010010111110101010111010111100110011101100101100100110001100000011011100100010001111011001000000101000011011000010000000000001011011011111101110100010100101000110100001000001001101001100111010010011110110000001000111000110010101111110000111111101111001010010101010010101111010111100100010101101001000011110100100010101110000001010011111000010101010001110101110101001101011111111100001101011001010010011011100110001100001111000010000100001000011011101100000111001110010001001110111000110110100000010011001000101101100101111100101010000110111111100111111100011010011110111100010000000111110110010110101101101111110010001000100000001010011100001001110001100001000000110111011110111010110001011110010111010110001110110110111010101110110010101010010011111000111110001110011000101111010010010110010011011111011111010100011000011001110000101011010101111001001100011001000101011000100110110010010010010111100010110100110011010110100110110010100100111000010101011000010101000001111010001111001111000000111001010100101010010000101111001101001101111011100100111111000010100101111000100000001111101000001101100010000000101111000111000001111110101111110110101101101010001110100111011100101101100111111010011111110101010111111010110000111011010111111011010101100000110010101111001011001110011011100000111000111100011101111000101101110011001010111011010000001010110101001111011010011001010101011000001110000100100111000101110001111110111101110100101110101111111110101000000110111111011100010010001101011001010111110010101111110001100011011111001100110100110111100111010010000011011011110010010000101011110100101110100111100000111000011101011010011001111000101010001000011011011001010000011000011011100100100011000010011011001100101100101101000100001011111001011110101001000000100111000001011100111110011001001100011000101110001001000110100000110000001010110110100101110011111100111000010111011110011011001110011010010110000101010101000011100001110111011100011010111111001111101000101100100110110111100011111101001010001011110000000011110010110001011001001110010101011001011011010110000111111101100011010100110010110110110111000100100111111100111000000110000111111001111001011011000011010100000011100110110110000110101001110000111101001101010010011100000011100011110000101101101111001100110011011000011000011000111111001011001111010100000111011011001000011110000011001010100010101101010111100110011100001001001001000011111001011011101010000010101111010000011010000001011000011011000110010011110011101011111000010010100100011100000100001110111100010111110100111001001101000010010001011010101001110010010111010100101101011010111010010101111001011010110101100111100111100101001000101011100000110101000000110111010101010101010111110101101100111100110010110000011110101010100110110011001000001010110001111011001100011000000110101110100100110011110010001011001000101000000110010111111100111101100010001001110010011001111011101111010000110101110100000001000110011010100101110110000100001100011000010111001100100110101010100000101000100011111101110001111000101010100001001101001110111010110110101100000110011011110101110010100000111110001111111011010010010110111010110101000101001110111001001110111010100100000010110011011100010101010101010001011010110011111011001011000111010110010000000111011000100100011100110111011011101110100110001010100110101010001100001101000100100000001000100100100000000100111111111010011000001100011101100100100010001000110110011110011001100110000010000000010010001111111011000111110111110110001010010101111010011111111000011111101001111110101000101101010011000011001001001001101001001010101100010010110101101101000100000011101111100100001100111010010101111110111110011101101001110110011101001010101000101000101011001100101000000011011001100011111011101110101100111111101111111001111111101011111110101110111010110011101010110101100100111000000110000100010100110001111111000100011011011000011001111000110000010111110111001110101101001011000111111000011100010000000110000001000010011010000101001011011111101111001010101110111001001001011000000000000111110111110011010001100000111101010111101010011000111100111000001110100110111001101010010010100011111110010101010010100110000000011011110001100000011110111100111001111101110000000011110011010011010011101110110111100101111001111100010110110101010110001111000011010000000100111010011110111011010111101111010001101100001101011110110011100100111011110111011011010110100101111101010111000100010001111111111001111101010001010100000110110110010110011001111001101110100010110111100111010001011011000101000010100000101100100000101001010010110010010100100001011010000000011001010001000000010010100010011010110011110010010110110010110010010011110000010010000101101010111101110000111101000010001100001000000111110100011100001111101001101011100011101111011001110001001101011101000011101100001000100010111101110001101010010111111101100001111110110100001001010101110001100011100000000100111011101100001010110101000001010000100010010010111101000111000110110011001111000110100101011000001010001101110101110100000111111101001000011100011011011001110011011010111001001101001110110001001000101101000001111010100001010011111001011101010001100010110010101001110100101001111111000000001100111010100000110011011100110101101110000110010010011001001001000010010110000011011010001111010001000101101000011100000101011010110100101101111101011001010111001010000000100101000000010001011010011000000110110110110100101110111001001110000101110110100111000101011101001001011011001101111011001100110110011110010011010010111100010101001100001101011010100111010010111100100011101011000011000001101000111101100010000010011100100001011000011000111001101001010011011100000010111000111101100101111110011001100111000000011000010111001001110101000010011100011101001111000100111011000001011100111010011001010010111011101101111101100000110011011110100000110001101100110101101100011000001010110001101010101111110100101110000000101100010111010100001000001100000101011110110101011001000111011010101110111010001010011001010010000100110010100111010000011000111000110110100100101110100110010010111100110011111100001011001011000101100011011111011001011100111010111110010011001010110011011000010001001110010100100000000101110111001111000101000001101010010010001110001000001100001011000001101100101111011011010001100110111110010111011000110101011001100111010110110011100100101100000101010010000111111010011000110000010101001001011011100100101000111010011010110010000100010100100101111111001000001101100101001000010111011000100011000010100010010011101101100010100010000010000011101110011100110110101101110100010111000101110111000101000110101001110101110101110011011001010100100001011001010001010101111011111010000101010011001100100011000100110001000001110110100100100101000010111010000101000010000000101011101100110100101001011101111011101010110000100101101111000000100010010000111000001110111010010010001100110100100111000010011100111100000101100010010000000010111010100000010100001000100110100100101110101001010011110100110100111110101100111000100111001100011101100100110000011110001111100010100011011110100010110111111101111111110011110111010011110011110100001001000010010100010111100011010011111110001010111111111010101001010101110101110010100011101111110101100001111011101001010111100101001001110101011011110100011100011000100100110101011010010101011010011111110011010001100000000101101001000000001101110110011010101100111110111011001010111100001000010101101011010001010100001001101101001111101000101011100110010001001110111010111111111100000000100010011000100000001001110111101101001011010011000111011100000100111011011011100110111100111000000011100101000100111000001111010010101110100110111010110001101001110010000110010100100110010100010110011000001000010110001100011101110010010001011011001001111100111010011001010101010111101111111000110011011101001110110001101110011100001101101100101101010010010111010001101100010001101000000110110010110010011111011011010000111010001000010100111001111100010100010010011011110001111101011111000001001000100000010101111000011011010010000101110100100111111110010001100111000010011011000000011111011100001001010010110110111000100010011010100110111000011001001000100011010101001000011000100111000101100111011011000100100000000011100010110110000111100110110100010001111011010101011000011101011011010011111000011110111110101000011001110000001001110001110111100011110110100101001010110010111101001100110100011010001011110111101100110000111100111000010000011101111100000110010111100110111110110000011101000010010010011011000110001111110100000100101010001110100100011001101110000101010001110010010001001000000110010001110101110111110100001010010111001111110000011111001110101111000110010000100101101011101011010001111000110010001101001110101000001000011110001101011010010110000001000110011110000001101001010001101110110001111001010101011000001001100100100011000010111000001101011111001111001000010101110000010111000011111011110101111101110101000010101100100011011100010110011001100101101110110010000110001001111011101111110010111000001000111100011001001100101011000001011001111111010000011001110000101000000111111001101000010110101000101010111111101010110111110101010000011011101111100110001011011000110101101110110110010100000010110100111000100101100011011100100001011101100001000100101110101000000011011111110111011100100001001110101101001000001000111111011000001010100001111111000001000111110111101100000011001001011010101000100000111010011101001001100010100001001000100010111001111101101101100100100100000001111000010000101110100111101001101100101011111010110101001101101011011011111101110010011101011010011101010001110111111110101110111101111111101010110110001100001001100110101110001011100010100101111110111010110100110001011100000100110111011010100010101001000111000010011000110100001001110010101111100111110111111011011100101000111111101100000010101101101100000010010100100110110010001011000111100011000101100101011110110011100100001111101011000101100101001001101001000111010010000111111010110110000111101011110000001110011010111011010010100000011000110100110101111011000111011110100101000011010001011101101110001000010101000101110111110110011001101000110101101001001001011001001101101010100100111000110101110001101101011011100100100011011001010001011111101101111111001010001001010110000111011110010101111110010010111100010101011101100111000100000110001000111101101100011000010010101111111001011100110100000001110110010000101111111001111110000001110000010010010110010100010101010100100000001101011101101100001100101000100110100000110001101010010101000001011000100000010101110100000010111001101011000101100101100100010001101111011100000011011101010011011110101100010100100011010100101010101001100111101111010000100111111001001110100011011011000001010101110000100100000111111010110010000001011100111010010110010101110110111110111101011110100000101001001101000111000111101000100111101101100001100000100101010101100100100110111000101101110010001010000111111101101110000101000000001111110011000000001101111100111011100110011101111010001010111010110101011100000101011001111101111100101111100001010110100111000110011101010111011111001011110001101100001001001111110111101101111010100010010111001010011000111100101110010100000111101000100111001111010101111100101001110000111011001110011011011100000011001111001110101100101110001000110001101111110101111001000100101111011111001011111000010010000110100100101111111000010001101000010010010000110010000111111101111111011110000010100011101101000111011101000011110000011101011111011011101011111110100100001010001111110010010001010100111100001001001001101110110011010000011110011111101100010011000010111011010001000111001010011100010001001001101101010001000011001100110111000110111000001111111101101111011111111101111110100010001011000100110000010000011000101100000111101101111000100010000111100001011011101001001001000100011010111101110110100101110101101101101001011111101101011100000000011001110001001111101000100100111010111000010100001011101100011101101011111101100001100010010101110111000010001010000110001011111100000110100001101001110110011011101101110101000000101101000001000001111010100100011001111100111101101011111101101011010010001111000100110111100110111011100101100101100010011000101011100010111000110001011101011101001100111101000010010000010010110010010111110110010000010010000011001011010000100111010000010101111111001010111101100101000000011011010011010100101101000101011001101000010111010101100010011100010101110101101001110111001100111111000101111011011010001010000001001101011010100010101100001101001000011010110110101000011111010010000110110111100100110100101110111100100001101110110000101011000111111010111001000101110111101101111011111111111100000100001110001110101010011010001001110100011101101010100010101100001111110110001110010110111100000100011001011111100111010101101101100001101011111100101110010010011001111111000101110010011001001001010010111111100001010001101100000110110010000101000101101011110001111110110100110101110001011111111010010111000110100001100100101010001110011101111101011111010100011000110110110101101001100010000000101010011100010010001110010100011101010111101101100011110101000010001110001000010001110001101100011101001001011100010100001011100011010010001011010101101111111011101110111111110011001011111111100110010011101100001011101010010100100001100011010101100011100101000011001111000111110110100011001110101100011110110010010011001111111111100001001101110001100001000001001110101010111100011111111001001001111000000000101111101111101010111111000001000000111101010101111101001111110111111010010100100011011111011111000110011010010011011001100001001110101110111010110010100000010110101000011001011101111010110000000101011001100100100011100101000011000101000001111001000001011111011000100100100001100110101100100010110111110001011101001101110010110110001000001110010011101101011101101010010001110000001001111001111000110010111111010111111010110110101000101010111010011001101100101000110001001100001010100010011010011010011000000010111100111010110101000100000110100111011110001100110000111111110110111000011111101100101011110110110000001010000110110101100000001011011111110000111110000001101010011010111100001110101110001000010011001111001001010111010100100101101010010110000111101111101001111001010000111110101001100111001011100100110110111010011111001001010100111101010000101001010001011011000100001001001010001110010011011010100010100110100110000101000110110001010011101001011001000111010001110000111111110111010111001101010011111011101100011110101000011110011000101111011100001111001001100010001100101000001101100010110000010101001000101000011100000000111110101001000100001111010110111010101010001000000000010000000110111111011110101111000100010101001100111000101001001010101101011100101110011110111001101100001111101001010110001101010101100001111111111000101111001110110001010000001101000000110010100001010111110011000001110110100101010110111100010000110110111111101111011010111110100001000110111100100010101100010110000001110110001100001001111101111111111110100001000011100001100011010110011100000101001000110101010001000110101111110011000111001111011110111001000001010100011001001100001101000011000011110001011100100000000101111100010101101001000101100101000000100011111010111100110101011101000000011111110011010111100000011011000010100010110111001100100111111010111100010000011101010010110011111011000010011010100101000000000010110100010001010000110110011000011100110001101100101111000000110101010100000110010110001000100111010101011100010100000000101110001100001100000110110010110001011011111110111111111111010011101101000011001010111100010100111111110001000110101110000101100110100011000101011011100001100110001001010011101101000010101010010001001011010010111111101101011111000010000110011010000101101110101011000011110011010010101100100100110111101000111110101000001100101000001000000111100001111111011001111110101001000111101101011001010110010000111110101101101000001100010101101011101111001100100110101011110111011011001100011010010110000001000101101100100100011100101100011110010100010111100101110110110101100010101010010111101111101010101000101111000101000110000111100011101100010000010010101100111010100010101100000111000000100100011101011111001011100001001110000111111111000100110111010011001111110010100010011100011011010010011110111000110000001101101111001110111100001010100011110100101001100101001101110001100100111101100000101111010010101100110000000001001000110010010110010001101010001100001111011000110011100010110011000010111010001100001011100011100101011100111111001110100101110010001110111010111011010110001001101011101101001011011001100000010111001101100001110010110110001111010100011111110101001111010011010100110000110000000011010101111011001010010010010011010001011011011010101001101011111110011100111101011001011010101100100001000010000000101110101000100011001111101010101000001111010001000000110000100100010000111010100001111011100101000001000010011011000110001001101010000010010011101010110100000010010010101000110000110101100111001111101110011011100101010111000111101001111001100100010001110010100010010100111000001110001010000100110111011101011001010100001100001110011001110010100000110010100101010100001001110100101011011100111101001110010111111101000010110100001010001101100110011010000100011000000111011010100011111100011111101100000100011011111010111100111001010000001110100110110011010100101111000011111000000011000001101101011110111101011010001111010101011110011111111110101110000100010001011001100010111011011110110001010010101010101111110111001000001010111100110110011011111001100110111001110001000011011111001101011110000011101011010001110110111010010101111000010101010010101000010001100011001101011010111001111000110100111101110111000100010010011100110111100001000110010011000101110010010000110100101110100000011010000010111000010010001011100101001000101110001000101000100000100001101001011101010111100111111000111111010101100110001011101011001110110101000101011000111101101100110111011100000110110011000011111000000111111010000001000111011100001000000011100101111111001000000010010110000111111000100010110110101100001111011100000011000010011111111001101000000101101110110011000001001000111001110111110110001110111101010010001111110011000101001001001100011000001000110000000110100011110101010111001001110111011010100101000111010011101000010100011001001011001110111011101101100111111100110100001001011011101011101011110011111101111111010111010111101110000100001000101011000100001101000101010000010101011111111000111110010011100001001011010101010001000011000111000011101000101010111100011101101110101011100100010011000101110001110110010000011011101100001000010011110100101111101010101110101111001100111011001011001001100011000000110111001000100011110110010000001010000110110000100000000000010110110111111011101000101001010001101000010000010011010011001110100100111101100000010001110001100101011111100001111111011110010100101010100101011110101111001000101011010010000111101001000101011100000010100111110000101010100011101011101010011010111111111000011010110010100100110111001100011000011110000100001000010000110111011000001110011100100010011101110001101101000000100110010001011011001011111001010100001101111111001111111000110100111101111000100000001111101100101101011011011111100100010001000000010100111000010011100011000010000001101110111101110101100010111100101110101100011101101101110101011101100101010100100111110001111100011100110001011110100100101100100110111110111110101000110000110011100001010110101011110010011000110010001010110001001101100100100100101111000101101001100110101101001101100101001001110000101010110000101010000011110100011110011110000001110010101001010100100001011110011010011011110111001001111110000101001011110001000000011111010000011011000100000001011110001110000011111101011111101101011011010100011101001110111001011011001111110100111111101010101111110101100001110110101111110110101011000001100101011110010110011100110111000001110001111000111011110001011011100110010101110110100000010101101010011110110100110010101010110000011100001001001110001011100011111101111011101001011101011111111101010000001101111110111000100100011010110010101111100101011111100011000110111110011001101001101111001110100100000110110111100100100001010111101001011101001111000001110000111010110100110011110001010100010000110110110010100000110000110111001001000110000100110110011001011001011010001000010111110010111101010010000001001110000010111001111100110010011000110001011100010010001101000001100000010101101101001011100111111001110000101110111100110110011100110100101100001010101010000111000011101110111000110101111110011111010001011001001101101111000111111010010100010111100000000111100101100010110010011100101010110010110110101100001111111011000110101001100101101101101110001001001111111001110000001100001111110011110010110110000110101000000111001101101100001101010011100001111010011010100100111000000111000111100001011011011110011001100110110000110000110001111110010110011110101000001110110110010000111100000110010101000101011010101111001100111000010010010010000111110010110111010100000101011110100000110100000010110000110110001100100111100111010111110000100101001000111000001000011101111000101111101001110010011010000100100010110101010011100100101110101001011010110101110100101011110010110101101011001111001111001010010001010111000001101010000001101110101010101010101111101011011001111001100101100000111101010101001101100110010000010101100011110110011000110000001101011101001001100111100100010110010001010000001100101111111001111011000100010011100100110011110111011110100001101011101000000010001100110101001011101100001000011000110000101110011001001101010101000001010001000111111011100011110001010101000010011010011101110101101101011000001100110111101011100101000001111100011111110110100100101101110101101010001010011101110010011101110101001000000101100110111000101010101010100010110101100111110110010110001110101100100000001110110001001000111001101110110111011101001100010101001101010100011000011010001001000000010001001001000000001001111111110100110000011000111011001001000100010001101100111100110011001100000100000000100100011111110110001111101111101100010100101011110100111111110000111111010011111101010001011010100110000110010010010011010010010101011000100101101011011010001000000111011111001000011001110100101011111101111100111011010011101100111010010101010001010001010110011001010000000110110011000111110111011101011001111111011111110011111111010111111101011101110101100111010101101011001001110000001100001000101001100011111110001000110110110000110011110001100000101111101110011101011010010110001111110000111000100000001100000010000100110100001010010110111111011110010101011101110010010010110000000000001111101111100110100011000001111010101111010100110001111001110000011101001101110011010100100101000111111100101010100101001100000000110111100011000000111101111001110011111011100000000111100110100110100111011101101111001011110011111000101101101010101100011110000110100000001001110100111101110110101111011110100011011000011010111101100111001001110111101110110110101101001011111010101110001000100011111111110011111010100010101000001101101100101100110011110011011101000101101111001110100010110110001010000101000001011001000001010010100101100100101001000010110100000000110010100010000000100101000100110101100111100100101101100101100100100111100000100100001011010101111011100001111010000100011000010000001111101000111000011111010011010111000111011110110011100010011010111010000111011000010001000101111011100011010100101111111011000011111101101000010010101011100011000111000000001001110111011000010101101010000010100001000100100101111010001110001101100110011110001101001010110000010100011011101011101000001111111010010000111000110110110011100110110101110010011010011101100010010001011010000011110101000010100111110010111010100011000101100101010011101001010011111110000000011001110101000001100110111001101011011100001100100100110010010010000100101100000110110100011110100010001011010000111000001010110101101001011011111010110010101110010100000001001010000000100010110100110000001101101101101001011101110010011100001011101101001110001010111010010010110110011011110110011001101100111100100110100101111000101010011000011010110101001110100101111001000111010110000110000011010001111011000100000100111001000010110000110001110011010010100110111000000101110001111011001011111100110011001110000000110000101110010011101010000100111000111010011110001001110110000010111001110100110010100101110111011011111011000001100110111101000001100011011001101011011000110000010101100011010101011111101001011100000001011000101110101000010000011000001010111101101010110010001110110101011101110100010100110010100100001001100101001110100000110001110001101101001001011101001100100101111001100111111000010110010110001011000110111110110010111001110101111100100110010101100110110000100010011100101001000000001011101110011110001010000011010100100100011100010000011000010110000011011001011110110110100011001101111100101110110001101010110011001110101101100111001001011000001010100100001111110100110001100000101010010010110111001001010001110100110101100100001000101001001011111110010000011011001010010000101110110001000110000101000100100111011011000101000100000100000111011100111001101101011011101000101110001011101110001010001101010011101011101011100110110010101001000010110010100010101011110111110100001010100110011001000110001001100010000011101101001001001010000101110100001010000100000001010111011001101001010010111011110111010101100001001011011110000001000100100001110000011101110100100100011001101001001110000100111001111000001011000100100000000101110101000000101000010001001101001001011101010010100111101001101001111101011001110001001110011000111011001001100000111100011111000101000110111101000101101111111011111111100111101110100111100111101000010010000100101000101111000110100111111100010101111111110101010010101011101011100101000111011111101011000011110111010010101111001010010011101010110111101000111000110001001001101010110100101010110100111111100110100011000000001011010010000000011011101100110101011001111101110110010101111000010000101011010110100010101000010011011010011111010001010111001100100010011101110101111111111000000001000100110001000000010011101111011010010110100110001110111000001001110110110111001101111001110000000111001010001001110000011110100101011101001101110101100011010011100100001100101001001100101000101100110000010000101100011000111011100100100010110110010011111001110100110010101010101111011111110001100110111010011101100011011100111000011011011001011010100100101110100011011000100011010000001101100101100100111110110110100001110100010000101001110011111000101000100100110111100011111010111110000010010001000000101011110000110110100100001011101001001111111100100011001110000100110110000000111110111000010010100101101101110001000100110101001101110000110010010001000110101010010000110001001110001011001110110110001001000000000111000101101100001111001101101000100011110110101010110000111010110110100111110000111101111101010000110011100000010011100011101111000111101101001010010101100101111010011001101000110100010111101111011001100001111001110000100000111011111000001100101111001101111101100000111010000100100100110110001100011111101000001001010100011101001000110011011100001010100011100100100010010000001100100011101011101111101000010100101110011111100000111110011101011110001100100001001011010111010110100011110001100100011010011101010000010000111100011010110100101100000010001100111100000011010010100011011101100011110010101010110000010011001001000110000101110000011010111110011110010000101011100000101110000111110111101011111011101010000101011001000110111000101100110011001011011101100100001100010011110111011111100101110000010001111000110010011001010110000010110011111110100000110011100001010000001111110011010000101101010001010101111111010101101111101010100000110111011111001100010110110001101011011101101100101000000101101001110001001011000110111001000010111011000010001001011101010000000110111111101110111001000010011101011010010000010001111110110000010101000011111110000010001111101111011000000110010010110101010001000001110100111010010011000101000010010001000101110011111011011011001001001000000011110000100001011101001111010011011001010111110101101010011011010110110111111011100100111010110100111010100011101111111101011101111011111111010101101100011000010011001101011100010111000101001011111101110101101001100010111000001001101110110101000101010010001110000100110001101000010011100101011111001111101111110110111001010001111111011000000101011011011000000100101001001101100100010110001111000110001011001010111101100111001000011111010110001011001010010011010010001110100100001111110101101100001111010111100000011100110101110110100101000000110001101001101011110110001110111101001010000110100010111011011100010000101010001011101111101100110011010001101011010010010010110010011011010101001001110001101011100011011010110111001001000110110010100010111111011011111110010100010010101100001110111100101011111100100101111000101010111011001110001000001100010001111011011000110000100101011111110010111001101000000011101100100001011111110011111100000011100000100100101100101000101010101001000000011010111011011000011001010001001101000001100011010100101010000010110001000000101011101000000101110011010110001011001011001000100011011110111000000110111010100110111101011000101001000110101001010101010011001111011110100001001111110010011101000110110110000010101011100001001000001111110101100100000010111001110100101100101011101101111101111010111101000001010010011010001110001111010001001111011011000011000001001010101011001001001101110001011011100100010100001111111011011100001010000000011111100110000000011011111001110111001100111011110100010101110101101010111000001010110011111011111001011111000010101101001110001100111010101110111110010111100011011000010010011111101111011011110101000100101110010100110001111001011100101000001111010001001110011110101011111001010011100001110110011100110110111000000110011110011101011001011100010001100011011111101011110010001001011110111110010111110000100100001101001001011111110000100011010000100100100001100100001111111011111110111100000101000111011010001110111010000111100000111010111110110111010111111101001000010100011111100100100010101001111000010010010011011101100110100000111100111111011000100110000101110110100010001110010100111000100010010011011010100010000110011001101110001101110000011111111011011110111111111011111101000100010110001001100000100000110001011000001111011011110001000100001111000010110111010010010010001000110101111011101101001011101011011011010010111111011010111000000000110011100010011111010001001001110101110000101000010111011000111011010111111011000011000100101011101110000100010100001100010111111000001101000011010011101100110111011011101010000001011010000010000011110101001000110011111001111011010111111011010110100100011110001001101111001101110111001011001011000100110001010111000101110001100010111010111010011001111010000100100000100101100100101111101100100000100100000110010110100001001110100000101011111110010101111011001010000000110110100110101001011010001010110011010000101110101011000100111000101011101011010011101110011001111110001011110110110100010100000010011010110101000101011000011010010000110101101101010000111110100100001101101111001001101001011101111001000011011101100001010110001111110101110010001011101111011011110111111111111000001000011100011101010100110100010011101000111011010101000101011000011111101100011100101101111000001000110010111111001110101011011011000011010111111001011100100100110011111110001011100100110010010010100101111111000010100011011000001101100100001010001011010111100011111101101001101011100010111111110100101110001101000011001001010100011100111011111010111110101000110001101101101011010011000100000001010100111000100100011100101000111010101111011011000111101010000100011100010000100011100011011000111010010010111000101000010111000110100100010110101011011111110111011101111111100110010111111111001100100111011000010111010100101001000011000110101011000111001010000110011110001111101101000110011101011000111101100100100110011111111111000010011011100011000010000010011101010101111000111111110010010011110000000001011111011111010101111110000010000001111010101011111010011111101111110100101001000110111110111110001100110100100110110011000010011101011101110101100101000000101101010000110010111011110101100000001010110011001001000111001010000110001010000011110010000010111110110001001001000011001101011001000101101111100010111010011011100101101100010000011100100111011010111011010100100011100000010011110011110001100101111110101111110101101101010001010101110100110011011001010001100010011000010101000100110100110100110000000101111001110101101010001000001101001110111100011001100001111111101101110000111111011001010111101101100000010100001101101011000000010110111111100001111100000011010100110101111000011101011100010000100110011110010010101110101001001011010100101100001111011111010011110010100001111101010011001110010111001001101101110100111110010010101001111010100001010010100010110110001000010010010100011100100110110101000101001101001100001010001101100010100111010010110010001110100011100001111111101110101110011010100111110111011000111101010000111100110001011110111000011110010011000100011001010000011011000101100000101010010001010000111000000001111101010010001000011110101101110101010100010000000000100000001101111110111101011110001000101010011001110001010010010101011010111001011100111101110011011000011111010010101100011010101011000011111111110001011110011101100010100000011010000001100101000010101111100110000011101101001010101101111000100001101101111111011110110101111101000010001101111001000101011000101100000011101100011000010011111011111111111101000010000111000011000110101100111000001010010001101010100010001101011111100110001110011110111101110010000010101000110010011000011010000110000111100010111001000000001011111000101011010010001011001010000001000111110101111001101010111010000000111111100110101111000000110110000101000101101110011001001111110101111000100000111010100101100111110110000100110101001010000000000101101000100010100001101100110000111001100011011001011110000001101010101000001100101100010001001110101010111000101000000001011100011000011000001101100101100010110111111101111111111110100111011010000110010101111000101001111111100010001101011100001011001101000110001010110111000011001100010010100111011010000101010100100010010110100101111111011010111110000100001100110100001011011101010110000111100110100101011001001001101111010001111101010000011001010000010000001111000011111110110011111101010010001111011010110010101100100001111101011011010000011000101011010111011110011001001101010111101110110110011000110100101100000010001011011001001000111001011000111100101000101111001011101101101011000101010100101111011111010101010001011110001010001100001111000111011000100000100101011001110101000101011000001110000001001000111010111110010111000010011100001111111110001001101110100110011111100101000100111000110110100100111101110001100000011011011110011101111000010101000111101001010011001010011011100011001001111011000001011110100101011001100000000010010001100100101100100011010100011000011110110001100111000101100110000101110100011000010111000111001010111001111110011101001011100100011101110101110110101100010011010111011010010110110011000000101110011011000011100101101100011110101000111111101010011110100110101001100001100000000110101011110110010100100100100110100010110110110101010011010111111100111001111010110010110101011001000010000100000001011101010001000110011111010101010000011110100010000001100001001000100001110101000011110111001010000010000100110110001100010011010100000100100111010101101000000100100101010001100001101011001110011111011100110111001010101110001111010011110011001000100011100101000100101001110000011100010100001001101110111010110010101000011000011100110011100101000001100101001010101000010011101001010110111001111010011100101111111010000101101000010100011011001100110100001000110000001110110101000111111000111111011000001000110111110101111001110010100000011101001101100110101001011110000111110000000110000011011010111101111010110100011110101010111100111111111101011100001000100010110011000101110110111101100010100101010101011111101110010000010101111001101100110111110011001101110011100010000110111110011010111100000111010110100011101101110100101011110000101010100101010000100011000110011010110101110011110001101001111011101110001000100100111001101111000010001100100110001011100100100001101001011101000000110100000101110000100100010111001010010001011100010001010001000001000011010010111010101111001111110001111110101011001100010111010110011101101010001010110001111011011001101110111000001101100110000111110000001111110100000010001110111000010000000111001011111110010000000100101100001111110001000101101101011000011110111000000110000100111111110011010000001011011101100110000010010001110011101111101100011101111010100100011111100110001010010010011000110000010001100000001101000111101010101110010011101110110101001010001110100111010000101000110010010110011101110111011011001111111001101000010010110111010111010111100111111011111110101110101111011100001000010001010110001000011010001010100000101010111111110001111100100111000010010110101010100010000110001110000111010001010101111000111011011101010111001000100110001011100011101100100000110111011000010000100111101001011111010101011101011110011001110110010110010011000110000001101110010001000111101100100000010100001101100001000000000000101101101111110111010001010010100011010000100000100110100110011101001001111011000000100011100011001010111111000011111110111100101001010101001010111101011110010001010110100100001111010010001010111000000101001111100001010101000111010111010100110101111111110000110101100101001001101110011000110000111100001000010000100001101110110000011100111001000100111011100011011010000001001100100010110110010111110010101000011011111110011111110001101001111011110001000000011111011001011010110110111111001000100010000000101001110000100111000110000100000011011101111011101011000101111001011101011000111011011011101010111011001010101001001111100011111000111001100010111101001001011001001101111101111101010001100001100111000010101101010111100100110001100100010101100010011011001001001001011110001011010011001101011010011011001010010011100001010101100001010100000111101000111100111100000011100101010010101001000010111100110100110111101110010011111100001010010111100010000000111110100000110110001000000010111100011100000111111010111111011010110110101000111010011101110010110110011111101001111111010101011111101011000011101101011111101101010110000011001010111100101100111001101110000011100011110001110111100010110111001100101011101101000000101011010100111101101001100101010101100000111000010010011100010111000111111011110111010010111010111111111010100000011011111101110001001000110101100101011111001010111111000110001101111100110011010011011110011101001000001101101111001001000010101111010010111010011110000011100001110101101001100111100010101000100001101101100101000001100001101110010010001100001001101100110010110010110100010000101111100101111010100100000010011100000101110011111001100100110001100010111000100100011010000011000000101011011010010111001111110011100001011101111001101100111001101001011000010101010100001110000111011101110001101011111100111110100010110010011011011110001111110100101000101111000000001111001011000101100100111001010101100101101101011000011111110110001101010011001011011011011100010010011111110011100000011000011111100111100101101100001101010000001110011011011000011010100111000011110100110101001001110000001110001111000010110110111100110011001101100001100001100011111100101100111101010000011101101100100001111000001100101010001010110101011110011001110000100100100100001111100101101110101000001010111101000001101000000101100001101100011001001111001110101111100001001010010001110000010000111011110001011111010011100100110100001001000101101010100111001001011101010010110101101011101001010111100101101011010110011110011110010100100010101110000011010100000011011101010101010101011111010110110011110011001011000001111010101010011011001100100000101011000111101100110001100000011010111010010011001111001000101100100010100000011001011111110011110110001000100111001001100111101110111101000011010111010000000100011001101010010111011000010000110001100001011100110010011010101010000010100010001111110111000111100010101010000100110100111011101011011010110000011001101111010111001010000011111000111111101101001001011011101011010100010100111011100100111011101010010000001011001101110001010101010101000101101011001111101100101100011101011001000000011101100010010001110011011101101110111010011000101010011010101000110000110100010010000000100010010010000000010011111111101001100000110001110110010010001000100011011001111001100110011000001000000001001000111111101100011111011111011000101001010111101001111111100001111110100111111010100010110101001100001100100100100110100100101010110001001011010110110100010000001110111110010000110011101001010111111011111001110110100111011001110100101010100010100010101100110010100000001101100110001111101110111010110011111110111111100111111110101111111010111011101011001110101011010110010011100000011000010001010011000111111100010001101101100001100111100011000001011111011100111010110100101100011111100001110001000000011000000100001001101000010100101101111110111100101010111011100100100101100000000000011111011111001101000110000011110101011110101001100011110011100000111010011011100110101001001010001111111001010101001010011000000001101111000110000001111011110011100111110111000000001111001101001101001110111011011110010111100111110001011011010101011000111100001101000000010011101001111011101101011110111101000110110000110101111011001110010011101111011101101101011010010111110101011100010001000111111111100111110101000101010000011011011001011001100111100110111010001011011110011101000101101100010100001010000010110010000010100101001011001001010010000101101000000001100101000100000001001010001001101011001111001001011011001011001001001111000001001000010110101011110111000011110100001000110000100000011111010001110000111110100110101110001110111101100111000100110101110100001110110000100010001011110111000110101001011111110110000111111011010000100101010111000110001110000000010011101110110000101011010100000101000010001001001011110100011100011011001100111100011010010101100000101000110111010111010000011111110100100001110001101101100111001101101011100100110100111011000100100010110100000111101010000101001111100101110101000110001011001010100111010010100111111100000000110011101010000011001101110011010110111000011001001001100100100100001001011000001101101000111101000100010110100001110000010101101011010010110111110101100101011100101000000010010100000001000101101001100000011011011011010010111011100100111000010111011010011100010101110100100101101100110111101100110011011001111001001101001011110001010100110000110101101010011101001011110010001110101100001100000110100011110110001000001001110010000101100001100011100110100101001101110000001011100011110110010111111001100110011100000001100001011100100111010100001001110001110100111100010011101100000101110011101001100101001011101110110111110110000011001101111010000011000110110011010110110001100000101011000110101010111111010010111000000010110001011101010000100000110000010101111011010101100100011101101010111011101000101001100101001000010011001010011101000001100011100011011010010010111010011001001011110011001111110000101100101100010110001101111101100101110011101011111001001100101011001101100001000100111001010010000000010111011100111100010100000110101001001000111000100000110000101100000110110010111101101101000110011011111001011101100011010101100110011101011011001110010010110000010101001000011111101001100011000001010100100101101110010010100011101001101011001000010001010010010111111100100000110110010100100001011101100010001100001010001001001110110110001010001000001000001110111001110011011010110111010001011100010111011100010100011010100111010111010111001101100101010010000101100101000101010111101111101000010101001100110010001100010011000100000111011010010010010100001011101000010100001000000010101110110011010010100101110111101110101011000010010110111100000010001001000011100000111011101001001000110011010010011100001001110011110000010110001001000000001011101010000001010000100010011010010010111010100101001111010011010011111010110011100010011100110001110110010011000001111000111110001010001101111010001011011111110111111111001111011101001111001111010000100100001001010001011110001101001111111000101011111111101010100101010111010111001010001110111111010110000111101110100101011110010100100111010101101111010001110001100010010011010101101001010101101001111111001101000110000000010110100100000000110111011001101010110011111011101100101011110000100001010110101101000101010000100110110100111110100010101110011001000100111011101011111111110000000010001001100010000000100111011110110100101101001100011101110000010011101101101110011011110011100000001110010100010011100000111101001010111010011011101011000110100111001000011001010010011001010001011001100000100001011000110001110111001001000101101100100111110011101001100101010101011110111111100011001101110100111011000110111001110000110110110010110101001001011101000110110001000110100000011011001011001001111101101101000011101000100001010011100111110001010001001001101111000111110101111100000100100010000001010111100001101101001000010111010010011111111001000110011100001001101100000001111101110000100101001011011011100010001001101010011011100001100100100010001101010100100001100010011100010110011101101100010010000000001110001011011000011110011011010001000111101101010101100001110101101101001111100001111011111010100001100111000000100111000111011110001111011010010100101011001011110100110011010001101000101111011110110011000011110011100001000001110111110000011001011110011011111011000001110100001001001001101100011000111111010000010010101000111010010001100110111000010101000111001001000100100000011001000111010111011111010000101001011100111111000001111100111010111100011001000010010110101110101101000111100011001000110100111010100000100001111000110101101001011000000100011001111000000110100101000110111011000111100101010101100000100110010010001100001011100000110101111100111100100001010111000001011100001111101111010111110111010100001010110010001101110001011001100110010110111011001000011000100111101110111111001011100000100011110001100100110010101100000101100111111101000001100111000010100000011111100110100001011010100010101011111110101011011111010101000001101110111110011000101101100011010110111011011001010000001011010011100010010110001101110010000101110110000100010010111010100000001101111111011101110010000100111010110100100000100011111101100000101010000111111100000100011111011110110000001100100101101010100010000011101001110100100110001010000100100010001011100111110110110110010010010000000111100001000010111010011110100110110010101111101011010100110110101101101111110111001001110101101001110101000111011111111010111011110111111110101011011000110000100110011010111000101110001010010111111011101011010011000101110000010011011101101010001010100100011100001001100011010000100111001010111110011111011111101101110010100011111110110000001010110110110000001001010010011011001000101100011110001100010110010101111011001110010000111110101100010110010100100110100100011101001000011111101011011000011110101111000000111001101011101101001010000001100011010011010111101100011101111010010100001101000101110110111000100001010100010111011111011001100110100011010110100100100101100100110110101010010011100011010111000110110101101110010010001101100101000101111110110111111100101000100101011000011101111001010111111001001011110001010101110110011100010000011000100011110110110001100001001010111111100101110011010000000111011001000010111111100111111000000111000001001001011001010001010101010010000000110101110110110000110010100010011010000011000110101001010100000101100010000001010111010000001011100110101100010110010110010001000110111101110000001101110101001101111010110001010010001101010010101010100110011110111101000010011111100100111010001101101100000101010111000010010000011111101011001000000101110011101001011001010111011011111011110101111010000010100100110100011100011110100010011110110110000110000010010101010110010010011011100010110111001000101000011111110110111000010100000000111111001100000000110111110011101110011001110111101000101011101011010101110000010101100111110111110010111110000101011010011100011001110101011101111100101111000110110000100100111111011110110111101010001001011100101001100011110010111001010000011110100010011100111101010111110010100111000011101100111001101101110000001100111100111010110010111000100011000110111111010111100100010010111101111100101111100001001000011010010010111111100001000110100001001001000011001000011111110111111101111000001010001110110100011101110100001111000001110101111101101110101111111010010000101000111111001001000101010011110000100100100110111011001101000001111001111110110001001100001011101101000100011100101001110001000100100110110101000100001100110011011100011011100000111111110110111101111111110111111010001000101100010011000001000001100010110000011110110111100010001000011110000101101110100100100100010001101011110111011010010111010110110110100101111110110101110000000001100111000100111110100010010011101011100001010000101110110001110110101111110110000110001001010111011100001000101000011000101111110000011010000110100111011001101110110111010100000010110100000100000111101010010001100111110011110110101111110110101101001000111100010011011110011011101110010110010110001001100010101110001011100011000101110101110100110011110100001001000001001011001001011111011001000001001000001100101101000010011101000001010111111100101011110110010100000001101101001101010010110100010101100110100001011101010110001001110001010111010110100111011100110011111100010111101101101000101000000100110101101010001010110000110100100001101011011010100001111101001000011011011110010011010010111011110010000110111011000010101100011111101011100100010111011110110111101111111111110000010000111000111010101001101000100111010001110110101010001010110000111111011000111001011011110000010001100101111110011101010110110110000110101111110010111001001001100111111100010111001001100100100101001011111110000101000110110000011011001000010100010110101111000111111011010011010111000101111111101001011100011010000110010010101000111001110111110101111101010001100011011011010110100110001000000010101001110001001000111001010001110101011110110110001111010100001000111000100001000111000110110001110100100101110001010000101110001101001000101101010110111111101110111011111111001100101111111110011001001110110000101110101001010010000110001101010110001110010100001100111100011111011010001100111010110001111011001001001100111111111110000100110111000110000100000100111010101011110001111111100100100111100000000010111110111110101011111100000100000011110101010111110100111111011111101001010010001101111101111100011001101001001101100110000100111010111011101011001010000001011010100001100101110111101011000000010101100110010010001110010100001100010100000111100100000101111101100010010010000110011010110010001011011111000101110100110111001011011000100000111001001110110101110110101001000111000000100111100111100011001011111101011111101011011010100010101011101001100110110010100011000100110000101010001001101001101001100000001011110011101011010100010000011010011101111000110011000011111111011011100001111110110010101111011011000000101000011011010110000000101101111111000011111000000110101001101011110000111010111000100001001100111100100101011101010010010110101001011000011110111110100111100101000011111010100110011100101110010011011011101001111100100101010011110101000010100101000101101100010000100100101000111001001101101010001010011010011000010100011011000101001110100101100100011101000111000011111111011101011100110101001111101110110001111010100001111001100010111101110000111100100110001000110010100000110110001011000001010100100010100001110000000011111010100100010000111101011011101010101000100000000001000000011011111101111010111100010001010100110011100010100100101010110101110010111001111011100110110000111110100101011000110101010110000111111111100010111100111011000101000000110100000011001010000101011111001100000111011010010101011011110001000011011011111110111101101011111010000100011011110010001010110001011000000111011000110000100111110111111111111010000100001110000110001101011001110000010100100011010101000100011010111111001100011100111101111011100100000101010001100100110000110100001100001111000101110010000000010111110001010110100100010110010100000010001111101011110011010101110100000001111111001101011110000001101100001010001011011100110010011111101011110001000001110101001011001111101100001001101010010100000000001011010001000101000011011001100001110011000110110010111100000011010101010000011001011000100010011101010101110001010000000010111000110000110000011011001011000101101111111011111111111101001110110100001100101011110001010011111111000100011010111000010110011010001100010101101110000110011000100101001110110100001010101001000100101101001011111110110101111100001000011001101000010110111010101100001111001101001010110010010011011110100011111010100000110010100000100000011110000111111101100111111010100100011110110101100101011001000011111010110110100000110001010110101110111100110010011010101111011101101100110001101001011000000100010110110010010001110010110001111001010001011110010111011011010110001010101001011110111110101010100010111100010100011000011110001110110001000001001010110011101010001010110000011100000010010001110101111100101110000100111000011111111100010011011101001100111111001010001001110001101101001001111011100011000000110110111100111011110000101010001111010010100110010100110111000110010011110110000010111101001010110011000000000100100011001001011001000110101000110000111101100011001110001011001100001011101000110000101110001110010101110011111100111010010111001000111011101011101101011000100110101110110100101101100110000001011100110110000111001011011000111101010001111111010100111101001101010011000011000000001101010111101100101001001001001101000101101101101010100110101111111001110011110101100101101010110010000100001000000010111010100010001100111110101010100000111101000100000011000010010001000011101010000111101110010100000100001001101100011000100110101000001001001110101011010000001001001