level =        0 _________________________
1111111111
1111111111
1111111111
1111111111
1111111111
1111111111
1111111111
1111111111
1111111111
1111111111
level =        1 _________________________
1111111111
1111111001
1000110001
1000000001
1000000001
1000000001
1100000011
1100000011
1110000111
1111111111
level =        2 _________________________
1111111111
1111111001
1000110001
1000000001
1000000001
1000000001
1100000011
1100000011
1110000111
1111111111
level =        3 _________________________
1111111111
1111111001
1000110001
1000000001
1000000001
1000000001
1100000011
1100000011
1110000111
1111111111
level =        4 _________________________
1111111111
1111111001
1000110001
1000000001
1000000001
1000000001
1100000011
1100000011
1110000111
1111111111
level =        5 _________________________
1111111111
1111111111
1111111111
1111111111
1111111111
1111111111
1111111111
1111111111
1111111111
1111111111