['0', '1', '1']
['0', '2', '0']
['1', '1', '1']
['1', '2', '0']
['2', '2', '1']
['2', '1', '0']
['2']
{(0, '1'): 1, (0, '0'): 2, (1, '1'): 1, (1, '0'): 2, (2, '1'): 2, (2, '0'): 1}
YES
YES
NO
NO
NO
YES
NO
YES
NO
YES
NO
NO
YES
NO