010000000100111000010100010010100101101101001110000101000100101001010101
0101010100010100010111010101100001011000000101000101011001011000010110110
1011101010010100101010100001110000110110010110000010100010101010101001001
0011110100111000010100010100100101110000010100010101110101100001011101010
1000101010010010101110101000000010100010011110101100001011011000101000101
1110010111000001011100010100001010100101010101010101000101000101100101001
1100101100001011001010101010100111000010100010010100101101101001110000101
0001010001011000100101100101011000010011000101101101010010010111010100111
001011100
001011010101100000010100010101110101100001011101000101000101110101011011
0110001000010100010111010101100000010100010101010101001001011111010011100
0010100010011110101100001011011000101000101110001011000010101100100111001
0110000101011101001110000101000100111001010101010111000100111000001110000
1101100101100000101000101010101010010010111110100111000010100010011110101
1000010110110001010001100010010110000101111001011011010111000100111001010
1010100111100001110000110110010110000010100010011100101011101010011010110
0001100010000101000100111001011111010011100101101101100010000101000101110
0010011100100110001011000010101110100110100010100010110000100111100010100
0110001001011000010111100101101100010100010101010101001001001111010011100
0010100010010100101011101001101000101000101011001011000010111000101110100
0101000101001001010110010110010101100001011011010111010100101001010111010
1110101010101011000100001010001010111010011100101111101001110010110110001
0100010111000101110101011000010110010001010001010001010010100101010101001
11100010100011000000100101001100010

⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠆⠄⠄⠄⠄⢠⢀⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢀⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⡅⠄⠄⠄⠄⢂⠕⡨⡠⡀⡀⠄⠄⠄⠄⠄⢀⢀⠢⡢⡁⡀⢀⢸⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⡆⠁⠅⠄⠂⠄⠁⠂⡪⡐⢌⠢⡠⢀⢄⠪⡐⢅⢕⠰⡠⠑⠃⠘⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⡇⠄⠄⠄⠄⢌⠢⡂⡀⠊⡢⡑⢌⠄⢆⠕⣬⣶⣿⢌⠌⠄⠄⠨⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠂⠄⠄⠄⠄⡂⠑⠨⠢⢡⠠⢊⢢⣵⣷⣿⡿⠟⠋⠠⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠃⠿⠷⠶⠬⣢⣿⣿⣏⠅⠂⠐⠾⠿⠃⡀⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢈⢐⢔⣴⣴⣵⣷⣿⣿⣟⣿⣶⣶⣶⣶⣴⡄⡂⠄⠐⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⡀⣾⣿⣿⣿⣿⣿⣿⡿⠷⣿⣿⣿⣿⣿⣿⡇⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠠⠃⣾⣿⣿⣿⣻⣯⣷⣷⣿⣿⣟⣯⣷⣿⠟⠄⠁⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠐⢀⠈⠻⣯⣿⣿⣛⣭⣯⣍⣿⣿⣿⡿⠃⡀⠄⡁⠄⢀⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠈⡂⠁⠄⠈⠙⠿⣿⣿⣭⣿⣿⠟⠁⠄⠂⠇⠄⠄⠄⢐⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠐⡀⠄⠄⠠⡀⠄⠄⠠⢤⣀⠉⢛⠩⠄⠄⠄⠄⠄⠄⢄⠄⠄⢸⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⡁⠄⠄⠄⠄⠄⢀⡀⠄⠺⠂⢀⣠⣆⠄⠄⠄⠄⠄⠄⠄⢨⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠈⢄⠄⠄⣀⣴⣿⡯⢿⣿⣿⠇⡿⢿⠿⢟⡲⡠⡀⠄⠄⢠⣤⣤⣄⣀⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⣀⣤⣶⣶⣦⣤⣶⡀⠨⢩⢯⢯⠯⣮⣙⣑⣵⡾⣞⣟⣟⣭⣽⣌⡂⠄⢔⣿⣿⣿⣿⣷⡀⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⢀⣾⣿⣿⣿⣿⣿⣿⢿⣿⣍⣾⣿⣷⠷⣗⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣠⠄⢅⢻⣿⡿⣿⣿⣷⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⣾⣿⣿⣿⣿⡷⣻⣾⣿⣿⣿⣽⣿⣿⣯⡊⡻⢛⢳⣿⣿⣿⣽⣿⣽⣿⣿⣿⣦⣁⢝⢿⣿⣿⣻⡇⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⢸⣿⣿⣿⠿⣺⢊⢻⣿⣿⣿⣽⣷⣿⣿⣿⡇⡢⢐⣿⣿⣿⣻⣿⡿⡟⠛⣫⣻⣛⠿⡳⣵⡙⠿⣿⣷⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⢈⠟⢫⢑⠡⠾⢋⢻⣿⣿⠟⢻⣿⢿⣿⣾⡇⡪⢐⣿⣿⣿⡿⣿⣿⣿⡞⢍⠍⡏⡑⡌⢦⣾⣾⣿⣷⣶⣦⣄⠄⠄⠄⠄
⠄⠄⠄⢀⣤⣶⣿⣿⣿⣿⢿⢊⢂⠔⡡⢳⣷⣿⣿⣿⣿⡿⡨⠢⢑⢻⣿⣷⣿⣿⣿⣿⠨⠢⢑⠅⡢⠂⢍⣽⣿⣿⣽⣿⣿⣿⡇⠄⠄⠄
⠄⠄⠄⢺⣿⣿⣿⣿⣿⣿⣿⡖⠠⡑⡐⢥⣿⣿⣟⣯⡷⠣⠪⡨⠠⡙⣿⡿⣿⣟⣯⣿⢿⣲⣵⣎⠢⡑⡡⢿⣿⣟⣿⣿⣷⠿⠁⠄⠄⠄
⠄⠄⠄⢁⢛⠿⢿⣯⣷⣷⣷⡌⡊⢔⢸⣿⣿⡻⢟⠫⡊⡪⢑⠌⠂⠨⡂⡛⠿⢿⣿⡧⡴⢍⠍⢞⢎⡢⡨⠊⠛⠛⠍⢍⠔⣑⠄⠄⠄⠄
⠄⠄⠄⠄⣷⣵⡡⡂⡊⢂⢑⢌⢈⡢⠖⢆⠢⡂⢌⠪⡐⢌⠂⢅⠢⢢⠨⡨⢊⠢⡂⡪⠨⠢⡑⠅⠂⢅⠌⢜⠈⢌⢊⢢⣵⣿⠄⠄⠄⠄
⠄⠄⠄⠄⣿⣿⣷⡌⡢⠨⠢⡐⢍⠄⠡⡁⠑⠨⠊⢈⠨⡠⡑⣥⣵⡡⡊⣦⣎⠔⢌⠌⢌⠡⡂⠕⠄⠆⢕⠑⡨⠢⣑⣿⣿⣿⠄⠄⠄⠄
⠄⠄⠄⠄⣿⣿⣿⣗⢌⢂⢑⢌⠢⠄⠠⣱⣨⣢⣱⣼⣶⢫⣾⣿⣿⡇⢾⣿⣿⣷⢨⠢⡑⢌⠢⠁⠄⠢⡑⠠⡑⣜⣿⣿⣿⣿⠄⠄⠄⠄
⠄⠄⠄⠄⣿⣿⣿⣿⠢⡡⠂⢢⠁⠄⠄⢻⣿⣿⣿⣟⣷⣿⣿⣿⣿⡏⣺⣿⣿⣿⡗⢌⠌⣶⠃⠄⠄⠑⠄⡱⠨⣾⣿⣿⣿⣿⠄⠄⠄⠄
⠄⠄⠄⠄⢻⣿⣿⢿⡇⡪⢨⠠⠁⠄⠄⠈⣿⣿⣿⣻⣿⣿⣿⢿⣻⣧⣹⣿⣿⣻⣏⠢⡱⣿⡀⠄⠄⠈⠐⡌⡪⣿⣿⣿⣷⡇⠄⠄⠄⠄
⠄⠄⠄⠄⠸⣿⣿⣿⡗⢌⠢⡑⠄⠄⠄⣼⣿⡷⣿⣿⣿⣯⣿⣿⣿⡟⢼⣿⣿⣿⡇⠕⢬⣿⣷⠄⠄⠄⠈⡢⢹⣿⣿⣯⡟⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠨⢻⢿⢏⠢⡑⠄⠄⢀⣾⣿⣿⢋⣿⣿⣻⣿⡿⣿⣿⡇⢽⣿⣿⣽⣏⠪⢺⣿⣿⣧⡀⠄⠄⠈⢆⢿⡿⠋⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠕⡐⡑⠌⠄⣠⣿⣿⣿⢑⣽⣿⣿⣿⢿⣿⡿⣿⡇⠪⡙⡛⢍⠢⡑⢅⠝⣿⣿⣧⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠈⠈⢀⣀⣙⠻⢿⡧⡑⣿⣿⣷⣿⣿⣿⣿⣿⣇⢅⠕⢌⢢⢑⢌⠢⡑⢌⢿⡿⠇⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⣠⣾⣿⣿⣷⣤⡑⠨⣻⣿⣯⣿⣿⣯⣿⣿⣿⣽⡘⢌⠢⡊⢔⢑⢌⠢⠉⣠⣶⣆⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠻⢿⣿⣿⣿⣿⣯⢂⠌⠻⣿⣿⣻⣿⡿⣷⣿⡯⡨⠢⡑⢌⠢⡑⠐⠡⡐⣾⣿⣿⠆⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⢰⣶⣤⡀⠙⠻⣽⣝⠫⡐⡑⢄⡈⠻⣿⣿⣿⣿⡟⡑⢌⠪⡨⠢⠑⢀⠆⠕⠌⢿⠛⠁⢀⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⢀⣿⣿⣿⣿⣷⣦⣄⣉⠃⠆⡑⢅⠢⡂⠉⠩⢩⠢⡑⢅⠥⡑⢌⠊⢀⠢⡑⠍⠈⢀⠠⡐⠕⢌⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⢸⣿⣿⣿⣟⣿⣿⣿⣿⣿⣶⣤⣀⠑⠈⠄⠄⠄⠁⠊⢂⡑⠈⠄⠄⠄⠄⠄⠄⠈⠂⠑⠁⠉⠂⠡⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⣾⡿⠟⠚⠉⠉⣁⣉⣤⣤⣦⣦⣦⣦⡅⡀⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⡂⡢⡨⢊⢌⠪⡨⢊⢌⠢⡀⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠋⢀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⠨⡂⡀⠄⠄⠍⠄⠄⠄⡌⡪⡐⢌⢢⢡⣱⣨⡢⡡⡑⢔⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⢸⣿⣿⣿⣿⣿⣿⢿⣯⣷⣿⣷⣿⣿⣽⣿⣷⠨⡂⡂⠄⠄⠄⠄⠢⡑⠔⢌⢢⣵⣿⣿⣿⣿⣆⠪⠢⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠸⣿⣿⣿⢿⣾⣿⣿⣿⣿⣿⡿⣿⣻⣿⡿⣿⣧⡑⠜⠄⠄⠄⠨⡨⢌⠪⣸⣿⣿⣿⣿⣿⢿⣿⡅⡣⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⢻⣿⣿⣿⣿⡿⣟⣯⣿⣷⣿⣿⣿⣿⣿⣿⣿⣎⠜⢌⠄⠄⢌⠢⡡⣱⣿⣿⣿⣿⣽⣾⣿⣿⣇⠪⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠈⢿⣷⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣻⣽⣿⣟⣿⡜⢌⢂⠄⢅⠕⢔⣾⣿⣿⣷⣿⣿⣿⣿⣿⣇⠊⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠘⣿⣿⣷⣿⣿⣟⣿⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⡐⢅⠂⠢⡑⢥⣿⣿⣯⣿⣿⣽⣿⣾⣿⡗⠁⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠘⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⢿⣟⣯⣿⣿⣻⣇⠣⡁⠨⡨⣺⣿⣿⣿⣻⣿⡿⣿⣻⣿⡇⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠘⣿⣿⣻⣷⣿⣿⣽⣷⣿⣿⣿⣿⣿⣿⣿⣿⢌⠪⠐⢔⣽⣿⣿⣽⣿⣿⣿⣿⣿⣿⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠹⣿⣿⣿⢿⣻⣿⣿⡿⣿⣿⣟⣯⣷⣿⣿⡆⢕⠈⠔⣿⣿⣟⣿⣿⢿⣾⣿⣿