[150309]feature_request_7

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