[((1, 2), 1), ((3, 1), 2), ((3, 2), 3), ((3, 3), 3), ((3, 4), 3), ((3, 5), 3), ((4, 1), 2), ((4, 2), 3), ((4, 5), 1), ((4, 5), 2), ((4, 6), 0), ((5, 5), 1), ((5, 5), 2), ((5, 6), 1), ((5, 7), 0), ((5, 7), 1), ((6, 3), 1), ((6, 4), 1), ((6, 5), 2), ((7, 1), 2), ((7, 2), 3), ((7, 3), 2), ((7, 3), 3), ((7, 4), 3), ((8, 6), 2)]