For position , [4, 1, 1, 0, 1, 0], and roll, {1, 2}, the best moves are {[3, 1, 2, 0, 0, 0]} When the roll was, {1, 2}, and there were, 7, checkers , the exceptions to greedy play were {[{1, 2}, [4, 1, 1, 0, 1, 0], [3, 1, 2, 0, 0, 0]]} For position , [4, 0, 2, 0, 1, 0], and roll, {1, 3}, the best moves are {[3, 1, 2, 0, 0, 0]} When the roll was, {1, 3}, and there were, 7, checkers , the exceptions to greedy play were {[{1, 3}, [4, 0, 2, 0, 1, 0], [3, 1, 2, 0, 0, 0]]} For position , [3, 1, 2, 0, 1, 0], and roll, {2, 3}, the best moves are {[3, 1, 2, 0, 0, 0]} When the roll was, {2, 3}, and there were, 7, checkers , the exceptions to greedy play were {[{2, 3}, [3, 1, 2, 0, 1, 0], [3, 1, 2, 0, 0, 0]]} For position , [3, 1, 1, 1, 1, 0], and roll, {2, 4}, the best moves are {[3, 1, 2, 0, 0, 0]} When the roll was, {2, 4}, and there were, 7, checkers , the exceptions to greedy play were {[{2, 4}, [3, 1, 1, 1, 1, 0], [3, 1, 2, 0, 0, 0]]} For position , [3, 1, 1, 0, 2, 0], and roll, {2, 5}, the best moves are {[3, 1, 2, 0, 0, 0]} When the roll was, {2, 5}, and there were, 7, checkers , the exceptions to greedy play were {[{2, 5}, [3, 1, 1, 0, 2, 0], [3, 1, 2, 0, 0, 0]]} For position , [3, 1, 1, 0, 1, 1], and roll, {2, 6}, the best moves are {[3, 1, 2, 0, 0, 0]} When the roll was, {2, 6}, and there were, 7, checkers , the exceptions to greedy play were {[{2, 6}, [3, 1, 1, 0, 1, 1], [3, 1, 2, 0, 0, 0]]} For position , [3, 0, 2, 1, 1, 0], and roll, {3, 4}, the best moves are {[3, 1, 2, 0, 0, 0]} When the roll was, {3, 4}, and there were, 7, checkers , the exceptions to greedy play were {[{3, 4}, [3, 0, 2, 1, 1, 0], [3, 1, 2, 0, 0, 0]]} For position , [3, 0, 2, 0, 2, 0], and roll, {3, 5}, the best moves are {[3, 1, 2, 0, 0, 0]} When the roll was, {3, 5}, and there were, 7, checkers , the exceptions to greedy play were {[{3, 5}, [3, 0, 2, 0, 2, 0], [3, 1, 2, 0, 0, 0]]} For position , [3, 0, 2, 0, 1, 1], and roll, {3, 6}, the best moves are {[3, 1, 2, 0, 0, 0]} When the roll was, {3, 6}, and there were, 7, checkers , the exceptions to greedy play were {[{3, 6}, [3, 0, 2, 0, 1, 1], [3, 1, 2, 0, 0, 0]]} For position , [4, 1, 3, 1, 0, 0], and roll, {1, 2}, the best moves are {[3, 2, 3, 0, 0, 0]} For position , [4, 1, 3, 0, 0, 1], and roll, {1, 2}, the best moves are {[3, 1, 3, 1, 0, 0]} For position , [6, 1, 1, 0, 0, 1], and roll, {1, 2}, the best moves are {[5, 1, 1, 1, 0, 0]} For position , [3, 1, 4, 1, 0, 0], and roll, {1, 2}, the best moves are {[2, 2, 4, 0, 0, 0]} For position , [3, 1, 4, 0, 0, 1], and roll, {1, 2}, the best moves are {[2, 1, 4, 1, 0, 0]} For position , [6, 1, 1, 0, 1, 0], and roll, {1, 2}, the best moves are {[5, 1, 2, 0, 0, 0]} When the roll was, {1, 2}, and there were, 9, checkers , the exceptions to greedy play were {[{1, 2}, [3, 1, 4, 0, 0, 1], [2, 1, 4, 1, 0, 0]], [{1, 2}, [4, 1, 3, 1, 0, 0], [3, 2, 3, 0, 0, 0]], [{1, 2}, [4, 1, 3, 0, 0, 1], [3, 1, 3, 1, 0, 0]], [{1, 2}, [6, 1, 1, 0, 0, 1], [5, 1, 1, 1, 0, 0]], [{1, 2}, [3, 1, 4, 1, 0, 0], [2, 2, 4, 0, 0, 0]], [{1, 2}, [6, 1, 1, 0, 1, 0], [5, 1, 2, 0, 0, 0]]} For position , [3, 2, 1, 2, 0, 1], and roll, {1, 3}, the best moves are {[2, 2, 2, 2, 0, 0]} For position , [3, 1, 1, 3, 0, 1], and roll, {1, 3}, the best moves are {[2, 1, 2, 3, 0, 0]} For position , [6, 0, 2, 0, 1, 0], and roll, {1, 3}, the best moves are {[5, 1, 2, 0, 0, 0]} For position , [4, 2, 1, 1, 0, 1], and roll, {1, 3}, the best moves are {[3, 2, 2, 1, 0, 0]} When the roll was, {1, 3}, and there were, 9, checkers , the exceptions to greedy play were {[{1, 3}, [3, 1, 1, 3, 0, 1], [2, 1, 2, 3, 0, 0]], [{1, 3}, [4, 2, 1, 1, 0, 1], [3, 2, 2, 1, 0, 0]], [{1, 3}, [3, 2, 1, 2, 0, 1], [2, 2, 2, 2, 0, 0]], [{1, 3}, [6, 0, 2, 0, 1, 0], [5, 1, 2, 0, 0, 0]]} For position , [4, 0, 3, 1, 0, 1], and roll, {1, 4}, the best moves are {[3, 1, 3, 1, 0, 0]} For position , [3, 0, 4, 1, 0, 1], and roll, {1, 4}, the best moves are {[2, 1, 4, 1, 0, 0]} For position , [6, 0, 1, 1, 0, 1], and roll, {1, 4}, the best moves are {[5, 1, 1, 1, 0, 0]} When the roll was, {1, 4}, and there were, 9, checkers , the exceptions to greedy play were {[{1, 4}, [4, 0, 3, 1, 0, 1], [3, 1, 3, 1, 0, 0]], [{1, 4}, [3, 0, 4, 1, 0, 1], [2, 1, 4, 1, 0, 0]], [{1, 4}, [6, 0, 1, 1, 0, 1], [5, 1, 1, 1, 0, 0]]} For position , [2, 1, 5, 1, 0, 0], and roll, {2, 3}, the best moves are {[2, 2, 4, 0, 0, 0]} For position , [2, 1, 5, 0, 0, 1], and roll, {2, 3}, the best moves are {[2, 1, 4, 1, 0, 0]} For position , [5, 1, 2, 0, 0, 1], and roll, {2, 3}, the best moves are {[5, 1, 1, 1, 0, 0]} For position , [2, 3, 1, 2, 0, 1], and roll, {2, 3}, the best moves are {[2, 2, 2, 2, 0, 0]} For position , [3, 1, 4, 1, 0, 0], and roll, {2, 3}, the best moves are {[3, 2, 3, 0, 0, 0]} For position , [2, 2, 1, 3, 0, 1], and roll, {2, 3}, the best moves are {[2, 1, 2, 3, 0, 0]} For position , [3, 1, 4, 0, 0, 1], and roll, {2, 3}, the best moves are {[3, 1, 3, 1, 0, 0]} For position , [5, 1, 2, 0, 1, 0], and roll, {2, 3}, the best moves are {[5, 1, 2, 0, 0, 0]} For position , [3, 3, 1, 1, 0, 1], and roll, {2, 3}, the best moves are {[3, 2, 2, 1, 0, 0]} When the roll was, {2, 3}, and there were, 9, checkers , the exceptions to greedy play were {[{2, 3}, [5, 1, 2, 0, 0, 1], [5, 1, 1, 1, 0, 0]], [{2, 3}, [5, 1, 2, 0, 1, 0], [5, 1, 2, 0, 0, 0]], [{2, 3}, [2, 3, 1, 2, 0, 1], [2, 2, 2, 2, 0, 0]], [{2, 3}, [2, 1, 5, 1, 0, 0], [2, 2, 4, 0, 0, 0]], [{2, 3}, [3, 1, 4, 1, 0, 0], [3, 2, 3, 0, 0, 0]], [{2, 3}, [2, 2, 1, 3, 0, 1], [2, 1, 2, 3, 0, 0]], [{2, 3}, [2, 1, 5, 0, 0, 1], [2, 1, 4, 1, 0, 0]], [{2, 3}, [3, 1, 4, 0, 0, 1], [3, 1, 3, 1, 0, 0]], [{2, 3}, [3, 3, 1, 1, 0, 1], [3, 2, 2, 1, 0, 0]]} For position , [3, 1, 3, 1, 0, 1], and roll, {2, 4}, the best moves are {[3, 1, 3, 1, 0, 0]} For position , [2, 1, 4, 1, 0, 1], and roll, {2, 4}, the best moves are {[2, 1, 4, 1, 0, 0]} For position , [3, 1, 3, 2, 0, 0], and roll, {2, 4}, the best moves are {[3, 2, 3, 0, 0, 0]} For position , [5, 1, 1, 1, 1, 0], and roll, {2, 4}, the best moves are {[5, 1, 2, 0, 0, 0]} For position , [2, 1, 4, 2, 0, 0], and roll, {2, 4}, the best moves are {[2, 2, 4, 0, 0, 0]} For position , [5, 1, 1, 1, 0, 1], and roll, {2, 4}, the best moves are {[5, 1, 1, 1, 0, 0]} When the roll was, {2, 4}, and there were, 9, checkers , the exceptions to greedy play were {[{2, 4}, [3, 1, 3, 1, 0, 1], [3, 1, 3, 1, 0, 0]], [{2, 4}, [3, 1, 3, 2, 0, 0], [3, 2, 3, 0, 0, 0]], [{2, 4}, [5, 1, 1, 1, 1, 0], [5, 1, 2, 0, 0, 0]], [{2, 4}, [2, 1, 4, 1, 0, 1], [2, 1, 4, 1, 0, 0]], [{2, 4}, [2, 1, 4, 2, 0, 0], [2, 2, 4, 0, 0, 0]], [{2, 4}, [5, 1, 1, 1, 0, 1], [5, 1, 1, 1, 0, 0]]} For position , [5, 1, 1, 0, 2, 0], and roll, {2, 5}, the best moves are {[5, 1, 2, 0, 0, 0]} For position , [5, 1, 1, 0, 1, 1], and roll, {2, 5}, the best moves are {[5, 1, 1, 1, 0, 0]} For position , [3, 1, 3, 0, 1, 1], and roll, {2, 5}, the best moves are {[3, 1, 3, 1, 0, 0]} For position , [2, 1, 4, 0, 1, 1], and roll, {2, 5}, the best moves are {[2, 1, 4, 1, 0, 0]} For position , [3, 1, 3, 1, 1, 0], and roll, {2, 5}, the best moves are {[3, 2, 3, 0, 0, 0]} For position , [2, 1, 4, 1, 1, 0], and roll, {2, 5}, the best moves are {[2, 2, 4, 0, 0, 0]} When the roll was, {2, 5}, and there were, 9, checkers , the exceptions to greedy play were {[{2, 5}, [2, 1, 4, 1, 1, 0], [2, 2, 4, 0, 0, 0]], [{2, 5}, [2, 1, 4, 0, 1, 1], [2, 1, 4, 1, 0, 0]], [{2, 5}, [5, 1, 1, 0, 2, 0], [5, 1, 2, 0, 0, 0]], [{2, 5}, [3, 1, 3, 1, 1, 0], [3, 2, 3, 0, 0, 0]], [{2, 5}, [5, 1, 1, 0, 1, 1], [5, 1, 1, 1, 0, 0]], [{2, 5}, [3, 1, 3, 0, 1, 1], [3, 1, 3, 1, 0, 0]]} For position , [3, 1, 3, 1, 0, 1], and roll, {2, 6}, the best moves are {[3, 2, 3, 0, 0, 0]} For position , [2, 1, 4, 1, 0, 1], and roll, {2, 6}, the best moves are {[2, 2, 4, 0, 0, 0]} For position , [2, 1, 4, 0, 0, 2], and roll, {2, 6}, the best moves are {[2, 1, 4, 1, 0, 0]} For position , [5, 1, 1, 0, 1, 1], and roll, {2, 6}, the best moves are {[5, 1, 2, 0, 0, 0]} For position , [5, 1, 1, 0, 0, 2], and roll, {2, 6}, the best moves are {[5, 1, 1, 1, 0, 0]} For position , [3, 1, 3, 0, 0, 2], and roll, {2, 6}, the best moves are {[3, 1, 3, 1, 0, 0]} When the roll was, {2, 6}, and there were, 9, checkers , the exceptions to greedy play were {[{2, 6}, [3, 1, 3, 0, 0, 2], [3, 1, 3, 1, 0, 0]], [{2, 6}, [3, 1, 3, 1, 0, 1], [3, 2, 3, 0, 0, 0]], [{2, 6}, [5, 1, 1, 0, 1, 1], [5, 1, 2, 0, 0, 0]], [{2, 6}, [2, 1, 4, 0, 0, 2], [2, 1, 4, 1, 0, 0]], [{2, 6}, [2, 1, 4, 1, 0, 1], [2, 2, 4, 0, 0, 0]], [{2, 6}, [5, 1, 1, 0, 0, 2], [5, 1, 1, 1, 0, 0]]} For position , [5, 0, 2, 1, 0, 1], and roll, {3, 4}, the best moves are {[5, 1, 1, 1, 0, 0]} For position , [3, 0, 4, 1, 0, 1], and roll, {3, 4}, the best moves are {[3, 1, 3, 1, 0, 0]} For position , [2, 0, 5, 1, 0, 1], and roll, {3, 4}, the best moves are {[2, 1, 4, 1, 0, 0]} For position , [3, 2, 1, 2, 0, 1], and roll, {3, 4}, the best moves are {[3, 2, 2, 1, 0, 0]} For position , [2, 1, 1, 4, 0, 1], and roll, {3, 4}, the best moves are {[2, 1, 2, 3, 0, 0]} For position , [2, 2, 1, 3, 0, 1], and roll, {3, 4}, the best moves are {[2, 2, 2, 2, 0, 0]} For position , [5, 0, 2, 1, 1, 0], and roll, {3, 4}, the best moves are {[5, 1, 2, 0, 0, 0]} When the roll was, {3, 4}, and there were, 9, checkers , the exceptions to greedy play were {[{3, 4}, [3, 2, 1, 2, 0, 1], [3, 2, 2, 1, 0, 0]], [{3, 4}, [3, 0, 4, 1, 0, 1], [3, 1, 3, 1, 0, 0]], [{3, 4}, [2, 1, 1, 4, 0, 1], [2, 1, 2, 3, 0, 0]], [{3, 4}, [2, 2, 1, 3, 0, 1], [2, 2, 2, 2, 0, 0]], [{3, 4}, [5, 0, 2, 1, 1, 0], [5, 1, 2, 0, 0, 0]], [{3, 4}, [5, 0, 2, 1, 0, 1], [5, 1, 1, 1, 0, 0]], [{3, 4}, [2, 0, 5, 1, 0, 1], [2, 1, 4, 1, 0, 0]]} For position , [2, 2, 1, 2, 1, 1], and roll, {3, 5}, the best moves are {[2, 2, 2, 2, 0, 0]} For position , [5, 0, 2, 0, 2, 0], and roll, {3, 5}, the best moves are {[5, 1, 2, 0, 0, 0]} For position , [2, 1, 1, 3, 1, 1], and roll, {3, 5}, the best moves are {[2, 1, 2, 3, 0, 0]} For position , [3, 2, 1, 1, 1, 1], and roll, {3, 5}, the best moves are {[3, 2, 2, 1, 0, 0]} When the roll was, {3, 5}, and there were, 9, checkers , the exceptions to greedy play were {[{3, 5}, [3, 2, 1, 1, 1, 1], [3, 2, 2, 1, 0, 0]], [{3, 5}, [2, 2, 1, 2, 1, 1], [2, 2, 2, 2, 0, 0]], [{3, 5}, [5, 0, 2, 0, 2, 0], [5, 1, 2, 0, 0, 0]], [{3, 5}, [2, 1, 1, 3, 1, 1], [2, 1, 2, 3, 0, 0]]} For position , [2, 2, 1, 2, 0, 2], and roll, {3, 6}, the best moves are {[2, 2, 2, 2, 0, 0]} For position , [2, 1, 1, 3, 0, 2], and roll, {3, 6}, the best moves are {[2, 1, 2, 3, 0, 0]} For position , [5, 0, 2, 0, 1, 1], and roll, {3, 6}, the best moves are {[5, 1, 2, 0, 0, 0]} For position , [3, 2, 1, 1, 0, 2], and roll, {3, 6}, the best moves are {[3, 2, 2, 1, 0, 0]} When the roll was, {3, 6}, and there were, 9, checkers , the exceptions to greedy play were {[{3, 6}, [5, 0, 2, 0, 1, 1], [5, 1, 2, 0, 0, 0]], [{3, 6}, [3, 2, 1, 1, 0, 2], [3, 2, 2, 1, 0, 0]], [{3, 6}, [2, 2, 1, 2, 0, 2], [2, 2, 2, 2, 0, 0]], [{3, 6}, [2, 1, 1, 3, 0, 2], [2, 1, 2, 3, 0, 0]]} For position , [3, 0, 3, 1, 1, 1], and roll, {4, 5}, the best moves are {[3, 1, 3, 1, 0, 0]} For position , [2, 0, 4, 1, 1, 1], and roll, {4, 5}, the best moves are {[2, 1, 4, 1, 0, 0]} For position , [5, 0, 1, 1, 1, 1], and roll, {4, 5}, the best moves are {[5, 1, 1, 1, 0, 0]} When the roll was, {4, 5}, and there were, 9, checkers , the exceptions to greedy play were {[{4, 5}, [5, 0, 1, 1, 1, 1], [5, 1, 1, 1, 0, 0]], [{4, 5}, [3, 0, 3, 1, 1, 1], [3, 1, 3, 1, 0, 0]], [{4, 5}, [2, 0, 4, 1, 1, 1], [2, 1, 4, 1, 0, 0]]} For position , [3, 0, 3, 1, 0, 2], and roll, {4, 6}, the best moves are {[3, 1, 3, 1, 0, 0]} For position , [2, 0, 4, 1, 0, 2], and roll, {4, 6}, the best moves are {[2, 1, 4, 1, 0, 0]} For position , [5, 0, 1, 1, 0, 2], and roll, {4, 6}, the best moves are {[5, 1, 1, 1, 0, 0]} When the roll was, {4, 6}, and there were, 9, checkers , the exceptions to greedy play were {[{4, 6}, [3, 0, 3, 1, 0, 2], [3, 1, 3, 1, 0, 0]], [{4, 6}, [2, 0, 4, 1, 0, 2], [2, 1, 4, 1, 0, 0]], [{4, 6}, [5, 0, 1, 1, 0, 2], [5, 1, 1, 1, 0, 0]]} For position , [8, 1, 1, 0, 1, 0], and roll, {1, 2}, the best moves are {[7, 1, 2, 0, 0, 0]} For position , [4, 1, 0, 5, 1, 0], and roll, {1, 2}, the best moves are {[3, 1, 1, 5, 0, 0]} For position , [6, 1, 0, 3, 1, 0], and roll, {1, 2}, the best moves are {[5, 1, 1, 3, 0, 0]} For position , [8, 1, 1, 0, 0, 1], and roll, {1, 2}, the best moves are {[7, 1, 1, 1, 0, 0]} For position , [4, 1, 3, 0, 2, 1], and roll, {1, 2}, the best moves are {[3, 1, 3, 1, 2, 0]} For position , [3, 1, 3, 0, 3, 1], and roll, {1, 2}, the best moves are {[2, 1, 3, 1, 3, 0]} For position , [7, 1, 1, 1, 0, 1], and roll, {1, 2}, the best moves are {[6, 1, 1, 2, 0, 0]} For position , [6, 1, 2, 1, 0, 1], and roll, {1, 2}, the best moves are {[5, 1, 2, 2, 0, 0]} For position , [4, 1, 4, 1, 0, 1], and roll, {1, 2}, the best moves are {[3, 1, 4, 2, 0, 0]} For position , [3, 1, 6, 1, 0, 0], and roll, {1, 2}, the best moves are {[2, 2, 6, 0, 0, 0]} For position , [5, 1, 4, 1, 0, 0], and roll, {1, 2}, the best moves are {[4, 2, 4, 0, 0, 0]} For position , [7, 1, 2, 1, 0, 0], and roll, {1, 2}, the best moves are {[6, 2, 2, 0, 0, 0]} For position , [3, 1, 6, 0, 0, 1], and roll, {1, 2}, the best moves are {[2, 1, 6, 1, 0, 0]} For position , [7, 1, 2, 0, 1, 0], and roll, {1, 2}, the best moves are {[6, 1, 3, 0, 0, 0]} For position , [6, 1, 3, 0, 1, 0], and roll, {1, 2}, the best moves are {[5, 1, 4, 0, 0, 0]} For position , [6, 1, 3, 1, 0, 0], and roll, {1, 2}, the best moves are {[5, 2, 3, 0, 0, 0]} For position , [4, 1, 2, 0, 3, 1], and roll, {1, 2}, the best moves are {[3, 1, 2, 1, 3, 0]} For position , [7, 1, 2, 0, 0, 1], and roll, {1, 2}, the best moves are {[6, 1, 2, 1, 0, 0]} For position , [6, 1, 3, 0, 0, 1], and roll, {1, 2}, the best moves are {[5, 1, 3, 1, 0, 0]} For position , [4, 1, 5, 1, 0, 0], and roll, {1, 2}, the best moves are {[3, 2, 5, 0, 0, 0]} For position , [5, 1, 4, 0, 0, 1], and roll, {1, 2}, the best moves are {[4, 1, 4, 1, 0, 0]} For position , [3, 1, 4, 0, 2, 1], and roll, {1, 2}, the best moves are {[2, 1, 4, 1, 2, 0]} For position , [4, 1, 5, 0, 0, 1], and roll, {1, 2}, the best moves are {[3, 1, 5, 1, 0, 0]} When the roll was, {1, 2}, and there were, 11, checkers , the exceptions to greedy play were {[{1, 2}, [7, 1, 2, 1, 0, 0], [6, 2, 2, 0, 0, 0]], [{1, 2}, [6, 1, 3, 0, 1, 0], [5, 1, 4, 0, 0, 0]], [{1, 2}, [7, 1, 2, 0, 0, 1], [6, 1, 2, 1, 0, 0]], [{1, 2}, [6, 1, 2, 1, 0, 1], [5, 1, 2, 2, 0, 0]], [{1, 2}, [5, 1, 4, 1, 0, 0], [4, 2, 4, 0, 0, 0]], [{1, 2}, [4, 1, 3, 0, 2, 1], [3, 1, 3, 1, 2, 0]], [{1, 2}, [4, 1, 2, 0, 3, 1], [3, 1, 2, 1, 3, 0]], [{1, 2}, [5, 1, 4, 0, 0, 1], [4, 1, 4, 1, 0, 0]], [{1, 2}, [7, 1, 2, 0, 1, 0], [6, 1, 3, 0, 0, 0]], [{1, 2}, [6, 1, 3, 1, 0, 0], [5, 2, 3, 0, 0, 0]], [{1, 2}, [8, 1, 1, 0, 1, 0], [7, 1, 2, 0, 0, 0]], [{1, 2}, [4, 1, 4, 1, 0, 1], [3, 1, 4, 2, 0, 0]], [{1, 2}, [3, 1, 4, 0, 2, 1], [2, 1, 4, 1, 2, 0]], [{1, 2}, [3, 1, 6, 1, 0, 0], [2, 2, 6, 0, 0, 0]], [{1, 2}, [3, 1, 6, 0, 0, 1], [2, 1, 6, 1, 0, 0]], [{1, 2}, [4, 1, 5, 1, 0, 0], [3, 2, 5, 0, 0, 0]], [{1, 2}, [8, 1, 1, 0, 0, 1], [7, 1, 1, 1, 0, 0]], [{1, 2}, [4, 1, 0, 5, 1, 0], [3, 1, 1, 5, 0, 0]], [{1, 2}, [7, 1, 1, 1, 0, 1], [6, 1, 1, 2, 0, 0]], [{1, 2}, [6, 1, 3, 0, 0, 1], [5, 1, 3, 1, 0, 0]], [{1, 2}, [3, 1, 3, 0, 3, 1], [2, 1, 3, 1, 3, 0]], [{1, 2}, [4, 1, 5, 0, 0, 1], [3, 1, 5, 1, 0, 0]], [{1, 2}, [6, 1, 0, 3, 1, 0], [5, 1, 1, 3, 0, 0]]} For position , [6, 1, 1, 2, 0, 1], and roll, {1, 3}, the best moves are {[5, 1, 2, 2, 0, 0]} For position , [5, 2, 1, 2, 0, 1], and roll, {1, 3}, the best moves are {[4, 2, 2, 2, 0, 0]} For position , [4, 3, 1, 2, 0, 1], and roll, {1, 3}, the best moves are {[3, 3, 2, 2, 0, 0]} For position , [3, 4, 1, 2, 0, 1], and roll, {1, 3}, the best moves are {[2, 4, 2, 2, 0, 0]} For position , [5, 1, 1, 3, 0, 1], and roll, {1, 3}, the best moves are {[4, 1, 2, 3, 0, 0]} For position , [4, 2, 1, 3, 0, 1], and roll, {1, 3}, the best moves are {[3, 2, 2, 3, 0, 0]} For position , [3, 3, 1, 3, 0, 1], and roll, {1, 3}, the best moves are {[2, 3, 2, 3, 0, 0]} For position , [4, 4, 1, 1, 0, 1], and roll, {1, 3}, the best moves are {[3, 4, 2, 1, 0, 0]} For position , [6, 2, 1, 1, 0, 1], and roll, {1, 3}, the best moves are {[5, 2, 2, 1, 0, 0]} For position , [5, 3, 1, 1, 0, 1], and roll, {1, 3}, the best moves are {[4, 3, 2, 1, 0, 0]} For position , [3, 1, 1, 5, 0, 1], and roll, {1, 3}, the best moves are {[2, 1, 2, 5, 0, 0]} For position , [6, 0, 4, 0, 1, 0], and roll, {1, 3}, the best moves are {[5, 1, 4, 0, 0, 0]} For position , [4, 1, 1, 4, 0, 1], and roll, {1, 3}, the best moves are {[3, 1, 2, 4, 0, 0]} For position , [3, 2, 1, 4, 0, 1], and roll, {1, 3}, the best moves are {[2, 2, 2, 4, 0, 0]} For position , [8, 0, 2, 0, 1, 0], and roll, {1, 3}, the best moves are {[7, 1, 2, 0, 0, 0]} For position , [7, 0, 3, 0, 1, 0], and roll, {1, 3}, the best moves are {[6, 1, 3, 0, 0, 0]} For position , [6, 0, 1, 3, 1, 0], and roll, {1, 3}, the best moves are {[5, 1, 1, 3, 0, 0]} For position , [4, 0, 1, 5, 1, 0], and roll, {1, 3}, the best moves are {[3, 1, 1, 5, 0, 0]} When the roll was, {1, 3}, and there were, 11, checkers , the exceptions to greedy play were {[{1, 3}, [3, 2, 1, 4, 0, 1], [2, 2, 2, 4, 0, 0]], [{1, 3}, [3, 3, 1, 3, 0, 1], [2, 3, 2, 3, 0, 0]], [{1, 3}, [5, 2, 1, 2, 0, 1], [4, 2, 2, 2, 0, 0]], [{1, 3}, [5, 1, 1, 3, 0, 1], [4, 1, 2, 3, 0, 0]], [{1, 3}, [4, 4, 1, 1, 0, 1], [3, 4, 2, 1, 0, 0]], [{1, 3}, [5, 3, 1, 1, 0, 1], [4, 3, 2, 1, 0, 0]], [{1, 3}, [6, 2, 1, 1, 0, 1], [5, 2, 2, 1, 0, 0]], [{1, 3}, [4, 1, 1, 4, 0, 1], [3, 1, 2, 4, 0, 0]], [{1, 3}, [6, 0, 4, 0, 1, 0], [5, 1, 4, 0, 0, 0]], [{1, 3}, [7, 0, 3, 0, 1, 0], [6, 1, 3, 0, 0, 0]], [{1, 3}, [8, 0, 2, 0, 1, 0], [7, 1, 2, 0, 0, 0]], [{1, 3}, [6, 0, 1, 3, 1, 0], [5, 1, 1, 3, 0, 0]], [{1, 3}, [4, 0, 1, 5, 1, 0], [3, 1, 1, 5, 0, 0]], [{1, 3}, [6, 1, 1, 2, 0, 1], [5, 1, 2, 2, 0, 0]], [{1, 3}, [3, 1, 1, 5, 0, 1], [2, 1, 2, 5, 0, 0]], [{1, 3}, [4, 2, 1, 3, 0, 1], [3, 2, 2, 3, 0, 0]], [{1, 3}, [3, 4, 1, 2, 0, 1], [2, 4, 2, 2, 0, 0]], [{1, 3}, [4, 3, 1, 2, 0, 1], [3, 3, 2, 2, 0, 0]]} For position , [4, 0, 5, 1, 0, 1], and roll, {1, 4}, the best moves are {[3, 1, 5, 1, 0, 0]} For position , [3, 0, 6, 1, 0, 1], and roll, {1, 4}, the best moves are {[2, 1, 6, 1, 0, 0]} For position , [6, 0, 2, 2, 0, 1], and roll, {1, 4}, the best moves are {[5, 1, 2, 2, 0, 0]} For position , [3, 0, 3, 1, 3, 1], and roll, {1, 4}, the best moves are {[2, 1, 3, 1, 3, 0]} For position , [4, 0, 3, 1, 2, 1], and roll, {1, 4}, the best moves are {[3, 1, 3, 1, 2, 0]} For position , [8, 0, 1, 1, 0, 1], and roll, {1, 4}, the best moves are {[7, 1, 1, 1, 0, 0]} For position , [7, 0, 2, 1, 0, 1], and roll, {1, 4}, the best moves are {[6, 1, 2, 1, 0, 0]} For position , [6, 0, 3, 1, 0, 1], and roll, {1, 4}, the best moves are {[5, 1, 3, 1, 0, 0]} For position , [5, 0, 4, 1, 0, 1], and roll, {1, 4}, the best moves are {[4, 1, 4, 1, 0, 0]} For position , [4, 0, 4, 2, 0, 1], and roll, {1, 4}, the best moves are {[3, 1, 4, 2, 0, 0]} For position , [4, 0, 2, 1, 3, 1], and roll, {1, 4}, the best moves are {[3, 1, 2, 1, 3, 0]} For position , [3, 0, 4, 1, 2, 1], and roll, {1, 4}, the best moves are {[2, 1, 4, 1, 2, 0]} For position , [7, 0, 1, 2, 0, 1], and roll, {1, 4}, the best moves are {[6, 1, 1, 2, 0, 0]} When the roll was, {1, 4}, and there were, 11, checkers , the exceptions to greedy play were {[{1, 4}, [4, 0, 4, 2, 0, 1], [3, 1, 4, 2, 0, 0]], [{1, 4}, [3, 0, 6, 1, 0, 1], [2, 1, 6, 1, 0, 0]], [{1, 4}, [4, 0, 3, 1, 2, 1], [3, 1, 3, 1, 2, 0]], [{1, 4}, [5, 0, 4, 1, 0, 1], [4, 1, 4, 1, 0, 0]], [{1, 4}, [4, 0, 5, 1, 0, 1], [3, 1, 5, 1, 0, 0]], [{1, 4}, [3, 0, 3, 1, 3, 1], [2, 1, 3, 1, 3, 0]], [{1, 4}, [7, 0, 1, 2, 0, 1], [6, 1, 1, 2, 0, 0]], [{1, 4}, [4, 0, 2, 1, 3, 1], [3, 1, 2, 1, 3, 0]], [{1, 4}, [8, 0, 1, 1, 0, 1], [7, 1, 1, 1, 0, 0]], [{1, 4}, [7, 0, 2, 1, 0, 1], [6, 1, 2, 1, 0, 0]], [{1, 4}, [6, 0, 2, 2, 0, 1], [5, 1, 2, 2, 0, 0]], [{1, 4}, [6, 0, 3, 1, 0, 1], [5, 1, 3, 1, 0, 0]], [{1, 4}, [3, 0, 4, 1, 2, 1], [2, 1, 4, 1, 2, 0]]} For position , [3, 1, 5, 1, 0, 1], and roll, {2, 3}, the best moves are {[3, 1, 4, 2, 0, 0]} For position , [5, 2, 1, 2, 0, 1], and roll, {2, 3}, the best moves are {[5, 1, 2, 2, 0, 0]} For position , [4, 3, 1, 2, 0, 1], and roll, {2, 3}, the best moves are {[4, 2, 2, 2, 0, 0]} For position , [3, 4, 1, 2, 0, 1], and roll, {2, 3}, the best moves are {[3, 3, 2, 2, 0, 0]} For position , [2, 5, 1, 2, 0, 1], and roll, {2, 3}, the best moves are {[2, 4, 2, 2, 0, 0]} For position , [4, 2, 1, 3, 0, 1], and roll, {2, 3}, the best moves are {[4, 1, 2, 3, 0, 0]} For position , [3, 3, 1, 3, 0, 1], and roll, {2, 3}, the best moves are {[3, 2, 2, 3, 0, 0]} For position , [2, 4, 1, 3, 0, 1], and roll, {2, 3}, the best moves are {[2, 3, 2, 3, 0, 0]} For position , [2, 1, 5, 0, 2, 1], and roll, {2, 3}, the best moves are {[2, 1, 4, 1, 2, 0]} For position , [3, 1, 3, 0, 3, 1], and roll, {2, 3}, the best moves are {[3, 1, 2, 1, 3, 0]} For position , [4, 4, 1, 1, 0, 1], and roll, {2, 3}, the best moves are {[4, 3, 2, 1, 0, 0]} For position , [3, 5, 1, 1, 0, 1], and roll, {2, 3}, the best moves are {[3, 4, 2, 1, 0, 0]} For position , [5, 3, 1, 1, 0, 1], and roll, {2, 3}, the best moves are {[5, 2, 2, 1, 0, 0]} For position , [6, 1, 2, 1, 0, 1], and roll, {2, 3}, the best moves are {[6, 1, 1, 2, 0, 0]} For position , [5, 1, 3, 1, 0, 1], and roll, {2, 3}, the best moves are {[5, 1, 2, 2, 0, 0]} For position , [3, 1, 6, 1, 0, 0], and roll, {2, 3}, the best moves are {[3, 2, 5, 0, 0, 0]} For position , [5, 1, 4, 1, 0, 0], and roll, {2, 3}, the best moves are {[5, 2, 3, 0, 0, 0]} For position , [2, 1, 7, 1, 0, 0], and roll, {2, 3}, the best moves are {[2, 2, 6, 0, 0, 0]} For position , [2, 2, 1, 5, 0, 1], and roll, {2, 3}, the best moves are {[2, 1, 2, 5, 0, 0]} For position , [3, 1, 6, 0, 0, 1], and roll, {2, 3}, the best moves are {[3, 1, 5, 1, 0, 0]} For position , [5, 1, 4, 0, 1, 0], and roll, {2, 3}, the best moves are {[5, 1, 4, 0, 0, 0]} For position , [3, 2, 1, 4, 0, 1], and roll, {2, 3}, the best moves are {[3, 1, 2, 4, 0, 0]} For position , [2, 3, 1, 4, 0, 1], and roll, {2, 3}, the best moves are {[2, 2, 2, 4, 0, 0]} For position , [7, 1, 2, 0, 1, 0], and roll, {2, 3}, the best moves are {[7, 1, 2, 0, 0, 0]} For position , [6, 1, 3, 0, 1, 0], and roll, {2, 3}, the best moves are {[6, 1, 3, 0, 0, 0]} For position , [2, 1, 4, 0, 3, 1], and roll, {2, 3}, the best moves are {[2, 1, 3, 1, 3, 0]} For position , [5, 1, 1, 3, 1, 0], and roll, {2, 3}, the best moves are {[5, 1, 1, 3, 0, 0]} For position , [2, 1, 7, 0, 0, 1], and roll, {2, 3}, the best moves are {[2, 1, 6, 1, 0, 0]} For position , [6, 1, 3, 1, 0, 0], and roll, {2, 3}, the best moves are {[6, 2, 2, 0, 0, 0]} For position , [7, 1, 2, 0, 0, 1], and roll, {2, 3}, the best moves are {[7, 1, 1, 1, 0, 0]} For position , [6, 1, 3, 0, 0, 1], and roll, {2, 3}, the best moves are {[6, 1, 2, 1, 0, 0]} For position , [4, 1, 5, 1, 0, 0], and roll, {2, 3}, the best moves are {[4, 2, 4, 0, 0, 0]} For position , [5, 1, 4, 0, 0, 1], and roll, {2, 3}, the best moves are {[5, 1, 3, 1, 0, 0]} For position , [3, 1, 4, 0, 2, 1], and roll, {2, 3}, the best moves are {[3, 1, 3, 1, 2, 0]} For position , [4, 1, 5, 0, 0, 1], and roll, {2, 3}, the best moves are {[4, 1, 4, 1, 0, 0]} For position , [3, 1, 1, 5, 1, 0], and roll, {2, 3}, the best moves are {[3, 1, 1, 5, 0, 0]} When the roll was, {2, 3}, and there were, 11, checkers , the exceptions to greedy play were {[{2, 3}, [3, 1, 6, 0, 0, 1], [3, 1, 5, 1, 0, 0]], [{2, 3}, [5, 2, 1, 2, 0, 1], [5, 1, 2, 2, 0, 0]], [{2, 3}, [4, 4, 1, 1, 0, 1], [4, 3, 2, 1, 0, 0]], [{2, 3}, [6, 1, 3, 0, 0, 1], [6, 1, 2, 1, 0, 0]], [{2, 3}, [5, 1, 4, 1, 0, 0], [5, 2, 3, 0, 0, 0]], [{2, 3}, [4, 3, 1, 2, 0, 1], [4, 2, 2, 2, 0, 0]], [{2, 3}, [2, 1, 4, 0, 3, 1], [2, 1, 3, 1, 3, 0]], [{2, 3}, [2, 1, 7, 0, 0, 1], [2, 1, 6, 1, 0, 0]], [{2, 3}, [6, 1, 2, 1, 0, 1], [6, 1, 1, 2, 0, 0]], [{2, 3}, [2, 3, 1, 4, 0, 1], [2, 2, 2, 4, 0, 0]], [{2, 3}, [7, 1, 2, 0, 0, 1], [7, 1, 1, 1, 0, 0]], [{2, 3}, [3, 4, 1, 2, 0, 1], [3, 3, 2, 2, 0, 0]], [{2, 3}, [3, 2, 1, 4, 0, 1], [3, 1, 2, 4, 0, 0]], [{2, 3}, [3, 1, 5, 1, 0, 1], [3, 1, 4, 2, 0, 0]], [{2, 3}, [3, 3, 1, 3, 0, 1], [3, 2, 2, 3, 0, 0]], [{2, 3}, [2, 4, 1, 3, 0, 1], [2, 3, 2, 3, 0, 0]], [{2, 3}, [6, 1, 3, 0, 1, 0], [6, 1, 3, 0, 0, 0]], [{2, 3}, [5, 3, 1, 1, 0, 1], [5, 2, 2, 1, 0, 0]], [{2, 3}, [2, 5, 1, 2, 0, 1], [2, 4, 2, 2, 0, 0]], [{2, 3}, [3, 1, 6, 1, 0, 0], [3, 2, 5, 0, 0, 0]], [{2, 3}, [3, 5, 1, 1, 0, 1], [3, 4, 2, 1, 0, 0]], [{2, 3}, [5, 1, 1, 3, 1, 0], [5, 1, 1, 3, 0, 0]], [{2, 3}, [2, 1, 7, 1, 0, 0], [2, 2, 6, 0, 0, 0]], [{2, 3}, [4, 1, 5, 1, 0, 0], [4, 2, 4, 0, 0, 0]], [{2, 3}, [3, 1, 3, 0, 3, 1], [3, 1, 2, 1, 3, 0]], [{2, 3}, [7, 1, 2, 0, 1, 0], [7, 1, 2, 0, 0, 0]], [{2, 3}, [5, 1, 4, 0, 1, 0], [5, 1, 4, 0, 0, 0]], [{2, 3}, [5, 1, 4, 0, 0, 1], [5, 1, 3, 1, 0, 0]], [{2, 3}, [3, 1, 1, 5, 1, 0], [3, 1, 1, 5, 0, 0]], [{2, 3}, [4, 2, 1, 3, 0, 1], [4, 1, 2, 3, 0, 0]], [{2, 3}, [3, 1, 4, 0, 2, 1], [3, 1, 3, 1, 2, 0]], [{2, 3}, [4, 1, 5, 0, 0, 1], [4, 1, 4, 1, 0, 0]], [{2, 3}, [5, 1, 3, 1, 0, 1], [5, 1, 2, 2, 0, 0]], [{2, 3}, [2, 2, 1, 5, 0, 1], [2, 1, 2, 5, 0, 0]], [{2, 3}, [2, 1, 5, 0, 2, 1], [2, 1, 4, 1, 2, 0]], [{2, 3}, [6, 1, 3, 1, 0, 0], [6, 2, 2, 0, 0, 0]]} For position , [5, 1, 3, 2, 0, 0], and roll, {2, 4}, the best moves are {[5, 2, 3, 0, 0, 0]} For position , [3, 1, 5, 1, 0, 1], and roll, {2, 4}, the best moves are {[3, 1, 5, 1, 0, 0]} For position , [2, 1, 6, 1, 0, 1], and roll, {2, 4}, the best moves are {[2, 1, 6, 1, 0, 0]} For position , [3, 1, 0, 6, 1, 0], and roll, {2, 4}, the best moves are {[3, 1, 1, 5, 0, 0]} For position , [6, 1, 1, 2, 0, 1], and roll, {2, 4}, the best moves are {[6, 1, 1, 2, 0, 0]} For position , [5, 1, 2, 2, 0, 1], and roll, {2, 4}, the best moves are {[5, 1, 2, 2, 0, 0]} For position , [7, 1, 1, 1, 1, 0], and roll, {2, 4}, the best moves are {[7, 1, 2, 0, 0, 0]} For position , [6, 1, 2, 1, 1, 0], and roll, {2, 4}, the best moves are {[6, 1, 3, 0, 0, 0]} For position , [5, 1, 3, 1, 1, 0], and roll, {2, 4}, the best moves are {[5, 1, 4, 0, 0, 0]} For position , [2, 1, 3, 1, 3, 1], and roll, {2, 4}, the best moves are {[2, 1, 3, 1, 3, 0]} For position , [3, 1, 3, 1, 2, 1], and roll, {2, 4}, the best moves are {[3, 1, 3, 1, 2, 0]} For position , [6, 1, 2, 2, 0, 0], and roll, {2, 4}, the best moves are {[6, 2, 2, 0, 0, 0]} For position , [7, 1, 1, 1, 0, 1], and roll, {2, 4}, the best moves are {[7, 1, 1, 1, 0, 0]} For position , [6, 1, 2, 1, 0, 1], and roll, {2, 4}, the best moves are {[6, 1, 2, 1, 0, 0]} For position , [4, 1, 4, 2, 0, 0], and roll, {2, 4}, the best moves are {[4, 2, 4, 0, 0, 0]} For position , [5, 1, 3, 1, 0, 1], and roll, {2, 4}, the best moves are {[5, 1, 3, 1, 0, 0]} For position , [4, 1, 4, 1, 0, 1], and roll, {2, 4}, the best moves are {[4, 1, 4, 1, 0, 0]} For position , [3, 1, 5, 2, 0, 0], and roll, {2, 4}, the best moves are {[3, 2, 5, 0, 0, 0]} For position , [2, 1, 6, 2, 0, 0], and roll, {2, 4}, the best moves are {[2, 2, 6, 0, 0, 0]} For position , [3, 1, 4, 2, 0, 1], and roll, {2, 4}, the best moves are {[3, 1, 4, 2, 0, 0]} For position , [3, 1, 2, 1, 3, 1], and roll, {2, 4}, the best moves are {[3, 1, 2, 1, 3, 0]} For position , [2, 1, 4, 1, 2, 1], and roll, {2, 4}, the best moves are {[2, 1, 4, 1, 2, 0]} For position , [5, 1, 0, 4, 1, 0], and roll, {2, 4}, the best moves are {[5, 1, 1, 3, 0, 0]} When the roll was, {2, 4}, and there were, 11, checkers , the exceptions to greedy play were {[{2, 4}, [2, 1, 6, 1, 0, 1], [2, 1, 6, 1, 0, 0]], [{2, 4}, [3, 1, 0, 6, 1, 0], [3, 1, 1, 5, 0, 0]], [{2, 4}, [2, 1, 3, 1, 3, 1], [2, 1, 3, 1, 3, 0]], [{2, 4}, [5, 1, 3, 2, 0, 0], [5, 2, 3, 0, 0, 0]], [{2, 4}, [3, 1, 5, 1, 0, 1], [3, 1, 5, 1, 0, 0]], [{2, 4}, [7, 1, 1, 1, 1, 0], [7, 1, 2, 0, 0, 0]], [{2, 4}, [5, 1, 3, 1, 1, 0], [5, 1, 4, 0, 0, 0]], [{2, 4}, [6, 1, 2, 1, 1, 0], [6, 1, 3, 0, 0, 0]], [{2, 4}, [2, 1, 4, 1, 2, 1], [2, 1, 4, 1, 2, 0]], [{2, 4}, [6, 1, 2, 2, 0, 0], [6, 2, 2, 0, 0, 0]], [{2, 4}, [5, 1, 3, 1, 0, 1], [5, 1, 3, 1, 0, 0]], [{2, 4}, [4, 1, 4, 2, 0, 0], [4, 2, 4, 0, 0, 0]], [{2, 4}, [6, 1, 2, 1, 0, 1], [6, 1, 2, 1, 0, 0]], [{2, 4}, [7, 1, 1, 1, 0, 1], [7, 1, 1, 1, 0, 0]], [{2, 4}, [2, 1, 6, 2, 0, 0], [2, 2, 6, 0, 0, 0]], [{2, 4}, [3, 1, 5, 2, 0, 0], [3, 2, 5, 0, 0, 0]], [{2, 4}, [4, 1, 4, 1, 0, 1], [4, 1, 4, 1, 0, 0]], [{2, 4}, [6, 1, 1, 2, 0, 1], [6, 1, 1, 2, 0, 0]], [{2, 4}, [3, 1, 3, 1, 2, 1], [3, 1, 3, 1, 2, 0]], [{2, 4}, [3, 1, 4, 2, 0, 1], [3, 1, 4, 2, 0, 0]], [{2, 4}, [3, 1, 2, 1, 3, 1], [3, 1, 2, 1, 3, 0]], [{2, 4}, [5, 1, 2, 2, 0, 1], [5, 1, 2, 2, 0, 0]], [{2, 4}, [5, 1, 0, 4, 1, 0], [5, 1, 1, 3, 0, 0]]} For position , [6, 1, 1, 1, 1, 1], and roll, {2, 5}, the best moves are {[6, 1, 1, 2, 0, 0]} For position , [5, 1, 2, 1, 1, 1], and roll, {2, 5}, the best moves are {[5, 1, 2, 2, 0, 0]} For position , [5, 1, 0, 3, 2, 0], and roll, {2, 5}, the best moves are {[5, 1, 1, 3, 0, 0]} For position , [6, 1, 2, 1, 1, 0], and roll, {2, 5}, the best moves are {[6, 2, 2, 0, 0, 0]} For position , [4, 1, 4, 1, 1, 0], and roll, {2, 5}, the best moves are {[4, 2, 4, 0, 0, 0]} For position , [3, 1, 5, 1, 1, 0], and roll, {2, 5}, the best moves are {[3, 2, 5, 0, 0, 0]} For position , [6, 1, 2, 0, 1, 1], and roll, {2, 5}, the best moves are {[6, 1, 2, 1, 0, 0]} For position , [5, 1, 3, 1, 1, 0], and roll, {2, 5}, the best moves are {[5, 2, 3, 0, 0, 0]} For position , [2, 1, 6, 1, 1, 0], and roll, {2, 5}, the best moves are {[2, 2, 6, 0, 0, 0]} For position , [3, 1, 0, 5, 2, 0], and roll, {2, 5}, the best moves are {[3, 1, 1, 5, 0, 0]} For position , [5, 1, 3, 0, 1, 1], and roll, {2, 5}, the best moves are {[5, 1, 3, 1, 0, 0]} For position , [3, 1, 3, 0, 3, 1], and roll, {2, 5}, the best moves are {[3, 1, 3, 1, 2, 0]} For position , [4, 1, 4, 0, 1, 1], and roll, {2, 5}, the best moves are {[4, 1, 4, 1, 0, 0]} For position , [3, 1, 4, 1, 1, 1], and roll, {2, 5}, the best moves are {[3, 1, 4, 2, 0, 0]} For position , [3, 1, 5, 0, 1, 1], and roll, {2, 5}, the best moves are {[3, 1, 5, 1, 0, 0]} For position , [2, 1, 6, 0, 1, 1], and roll, {2, 5}, the best moves are {[2, 1, 6, 1, 0, 0]} For position , [7, 1, 1, 0, 2, 0], and roll, {2, 5}, the best moves are {[7, 1, 2, 0, 0, 0]} For position , [2, 1, 4, 0, 3, 1], and roll, {2, 5}, the best moves are {[2, 1, 4, 1, 2, 0]} For position , [7, 1, 1, 0, 1, 1], and roll, {2, 5}, the best moves are {[7, 1, 1, 1, 0, 0]} For position , [5, 1, 3, 0, 2, 0], and roll, {2, 5}, the best moves are {[5, 1, 4, 0, 0, 0]} For position , [6, 1, 2, 0, 2, 0], and roll, {2, 5}, the best moves are {[6, 1, 3, 0, 0, 0]} For position , [3, 1, 2, 0, 4, 1], and roll, {2, 5}, the best moves are {[3, 1, 2, 1, 3, 0]} For position , [2, 1, 3, 0, 4, 1], and roll, {2, 5}, the best moves are {[2, 1, 3, 1, 3, 0]} When the roll was, {2, 5}, and there were, 11, checkers , the exceptions to greedy play were {[{2, 5}, [5, 1, 3, 0, 1, 1], [5, 1, 3, 1, 0, 0]], [{2, 5}, [6, 1, 2, 1, 1, 0], [6, 2, 2, 0, 0, 0]], [{2, 5}, [3, 1, 5, 1, 1, 0], [3, 2, 5, 0, 0, 0]], [{2, 5}, [6, 1, 1, 1, 1, 1], [6, 1, 1, 2, 0, 0]], [{2, 5}, [6, 1, 2, 0, 2, 0], [6, 1, 3, 0, 0, 0]], [{2, 5}, [4, 1, 4, 1, 1, 0], [4, 2, 4, 0, 0, 0]], [{2, 5}, [2, 1, 6, 1, 1, 0], [2, 2, 6, 0, 0, 0]], [{2, 5}, [3, 1, 0, 5, 2, 0], [3, 1, 1, 5, 0, 0]], [{2, 5}, [7, 1, 1, 0, 2, 0], [7, 1, 2, 0, 0, 0]], [{2, 5}, [5, 1, 0, 3, 2, 0], [5, 1, 1, 3, 0, 0]], [{2, 5}, [3, 1, 2, 0, 4, 1], [3, 1, 2, 1, 3, 0]], [{2, 5}, [2, 1, 3, 0, 4, 1], [2, 1, 3, 1, 3, 0]], [{2, 5}, [5, 1, 2, 1, 1, 1], [5, 1, 2, 2, 0, 0]], [{2, 5}, [5, 1, 3, 1, 1, 0], [5, 2, 3, 0, 0, 0]], [{2, 5}, [3, 1, 5, 0, 1, 1], [3, 1, 5, 1, 0, 0]], [{2, 5}, [3, 1, 3, 0, 3, 1], [3, 1, 3, 1, 2, 0]], [{2, 5}, [4, 1, 4, 0, 1, 1], [4, 1, 4, 1, 0, 0]], [{2, 5}, [3, 1, 4, 1, 1, 1], [3, 1, 4, 2, 0, 0]], [{2, 5}, [2, 1, 6, 0, 1, 1], [2, 1, 6, 1, 0, 0]], [{2, 5}, [2, 1, 4, 0, 3, 1], [2, 1, 4, 1, 2, 0]], [{2, 5}, [5, 1, 3, 0, 2, 0], [5, 1, 4, 0, 0, 0]], [{2, 5}, [7, 1, 1, 0, 1, 1], [7, 1, 1, 1, 0, 0]], [{2, 5}, [6, 1, 2, 0, 1, 1], [6, 1, 2, 1, 0, 0]]} For position , [3, 1, 5, 1, 0, 1], and roll, {2, 6}, the best moves are {[3, 2, 5, 0, 0, 0]} For position , [2, 1, 6, 1, 0, 1], and roll, {2, 6}, the best moves are {[2, 2, 6, 0, 0, 0]} For position , [5, 1, 2, 1, 0, 2], and roll, {2, 6}, the best moves are {[5, 1, 2, 2, 0, 0]} For position , [6, 1, 1, 1, 0, 2], and roll, {2, 6}, the best moves are {[6, 1, 1, 2, 0, 0]} For position , [3, 1, 3, 0, 2, 2], and roll, {2, 6}, the best moves are {[3, 1, 3, 1, 2, 0]} For position , [2, 1, 4, 0, 2, 2], and roll, {2, 6}, the best moves are {[2, 1, 4, 1, 2, 0]} For position , [6, 1, 2, 0, 1, 1], and roll, {2, 6}, the best moves are {[6, 1, 3, 0, 0, 0]} For position , [3, 1, 2, 0, 3, 2], and roll, {2, 6}, the best moves are {[3, 1, 2, 1, 3, 0]} For position , [2, 1, 3, 0, 3, 2], and roll, {2, 6}, the best moves are {[2, 1, 3, 1, 3, 0]} For position , [5, 1, 3, 0, 1, 1], and roll, {2, 6}, the best moves are {[5, 1, 4, 0, 0, 0]} For position , [3, 1, 4, 1, 0, 2], and roll, {2, 6}, the best moves are {[3, 1, 4, 2, 0, 0]} For position , [6, 1, 2, 1, 0, 1], and roll, {2, 6}, the best moves are {[6, 2, 2, 0, 0, 0]} For position , [5, 1, 3, 1, 0, 1], and roll, {2, 6}, the best moves are {[5, 2, 3, 0, 0, 0]} For position , [4, 1, 4, 1, 0, 1], and roll, {2, 6}, the best moves are {[4, 2, 4, 0, 0, 0]} For position , [5, 1, 0, 3, 1, 1], and roll, {2, 6}, the best moves are {[5, 1, 1, 3, 0, 0]} For position , [4, 1, 4, 0, 0, 2], and roll, {2, 6}, the best moves are {[4, 1, 4, 1, 0, 0]} For position , [3, 1, 5, 0, 0, 2], and roll, {2, 6}, the best moves are {[3, 1, 5, 1, 0, 0]} For position , [2, 1, 6, 0, 0, 2], and roll, {2, 6}, the best moves are {[2, 1, 6, 1, 0, 0]} For position , [7, 1, 1, 0, 0, 2], and roll, {2, 6}, the best moves are {[7, 1, 1, 1, 0, 0]} For position , [6, 1, 2, 0, 0, 2], and roll, {2, 6}, the best moves are {[6, 1, 2, 1, 0, 0]} For position , [3, 1, 0, 5, 1, 1], and roll, {2, 6}, the best moves are {[3, 1, 1, 5, 0, 0]} For position , [7, 1, 1, 0, 1, 1], and roll, {2, 6}, the best moves are {[7, 1, 2, 0, 0, 0]} For position , [5, 1, 3, 0, 0, 2], and roll, {2, 6}, the best moves are {[5, 1, 3, 1, 0, 0]} When the roll was, {2, 6}, and there were, 11, checkers , the exceptions to greedy play were {[{2, 6}, [5, 1, 2, 1, 0, 2], [5, 1, 2, 2, 0, 0]], [{2, 6}, [2, 1, 3, 0, 3, 2], [2, 1, 3, 1, 3, 0]], [{2, 6}, [3, 1, 4, 1, 0, 2], [3, 1, 4, 2, 0, 0]], [{2, 6}, [5, 1, 3, 0, 1, 1], [5, 1, 4, 0, 0, 0]], [{2, 6}, [6, 1, 1, 1, 0, 2], [6, 1, 1, 2, 0, 0]], [{2, 6}, [2, 1, 6, 0, 0, 2], [2, 1, 6, 1, 0, 0]], [{2, 6}, [6, 1, 2, 1, 0, 1], [6, 2, 2, 0, 0, 0]], [{2, 6}, [3, 1, 3, 0, 2, 2], [3, 1, 3, 1, 2, 0]], [{2, 6}, [5, 1, 3, 1, 0, 1], [5, 2, 3, 0, 0, 0]], [{2, 6}, [4, 1, 4, 1, 0, 1], [4, 2, 4, 0, 0, 0]], [{2, 6}, [5, 1, 0, 3, 1, 1], [5, 1, 1, 3, 0, 0]], [{2, 6}, [4, 1, 4, 0, 0, 2], [4, 1, 4, 1, 0, 0]], [{2, 6}, [3, 1, 5, 0, 0, 2], [3, 1, 5, 1, 0, 0]], [{2, 6}, [2, 1, 4, 0, 2, 2], [2, 1, 4, 1, 2, 0]], [{2, 6}, [3, 1, 2, 0, 3, 2], [3, 1, 2, 1, 3, 0]], [{2, 6}, [7, 1, 1, 0, 0, 2], [7, 1, 1, 1, 0, 0]], [{2, 6}, [3, 1, 5, 1, 0, 1], [3, 2, 5, 0, 0, 0]], [{2, 6}, [6, 1, 2, 0, 0, 2], [6, 1, 2, 1, 0, 0]], [{2, 6}, [6, 1, 2, 0, 1, 1], [6, 1, 3, 0, 0, 0]], [{2, 6}, [3, 1, 0, 5, 1, 1], [3, 1, 1, 5, 0, 0]], [{2, 6}, [7, 1, 1, 0, 1, 1], [7, 1, 2, 0, 0, 0]], [{2, 6}, [2, 1, 6, 1, 0, 1], [2, 2, 6, 0, 0, 0]], [{2, 6}, [5, 1, 3, 0, 0, 2], [5, 1, 3, 1, 0, 0]]} For position , [4, 0, 5, 1, 0, 1], and roll, {3, 4}, the best moves are {[4, 1, 4, 1, 0, 0]} For position , [3, 0, 6, 1, 0, 1], and roll, {3, 4}, the best moves are {[3, 1, 5, 1, 0, 0]} For position , [2, 0, 7, 1, 0, 1], and roll, {3, 4}, the best moves are {[2, 1, 6, 1, 0, 0]} For position , [5, 2, 1, 2, 0, 1], and roll, {3, 4}, the best moves are {[5, 2, 2, 1, 0, 0]} For position , [4, 3, 1, 2, 0, 1], and roll, {3, 4}, the best moves are {[4, 3, 2, 1, 0, 0]} For position , [3, 4, 1, 2, 0, 1], and roll, {3, 4}, the best moves are {[3, 4, 2, 1, 0, 0]} For position , [6, 0, 2, 2, 0, 1], and roll, {3, 4}, the best moves are {[6, 1, 1, 2, 0, 0]} For position , [5, 0, 3, 2, 0, 1], and roll, {3, 4}, the best moves are {[5, 1, 2, 2, 0, 0]} For position , [7, 0, 2, 1, 1, 0], and roll, {3, 4}, the best moves are {[7, 1, 2, 0, 0, 0]} For position , [3, 0, 1, 6, 1, 0], and roll, {3, 4}, the best moves are {[3, 1, 1, 5, 0, 0]} For position , [5, 0, 4, 1, 1, 0], and roll, {3, 4}, the best moves are {[5, 1, 4, 0, 0, 0]} For position , [6, 0, 3, 1, 1, 0], and roll, {3, 4}, the best moves are {[6, 1, 3, 0, 0, 0]} For position , [5, 1, 1, 3, 0, 1], and roll, {3, 4}, the best moves are {[5, 1, 2, 2, 0, 0]} For position , [4, 2, 1, 3, 0, 1], and roll, {3, 4}, the best moves are {[4, 2, 2, 2, 0, 0]} For position , [3, 3, 1, 3, 0, 1], and roll, {3, 4}, the best moves are {[3, 3, 2, 2, 0, 0]} For position , [2, 4, 1, 3, 0, 1], and roll, {3, 4}, the best moves are {[2, 4, 2, 2, 0, 0]} For position , [3, 0, 3, 1, 3, 1], and roll, {3, 4}, the best moves are {[3, 1, 2, 1, 3, 0]} For position , [2, 0, 4, 1, 3, 1], and roll, {3, 4}, the best moves are {[2, 1, 3, 1, 3, 0]} For position , [5, 0, 1, 4, 1, 0], and roll, {3, 4}, the best moves are {[5, 1, 1, 3, 0, 0]} For position , [7, 0, 2, 1, 0, 1], and roll, {3, 4}, the best moves are {[7, 1, 1, 1, 0, 0]} For position , [6, 0, 3, 1, 0, 1], and roll, {3, 4}, the best moves are {[6, 1, 2, 1, 0, 0]} For position , [5, 0, 4, 1, 0, 1], and roll, {3, 4}, the best moves are {[5, 1, 3, 1, 0, 0]} For position , [2, 1, 1, 6, 0, 1], and roll, {3, 4}, the best moves are {[2, 1, 2, 5, 0, 0]} For position , [3, 1, 1, 5, 0, 1], and roll, {3, 4}, the best moves are {[3, 1, 2, 4, 0, 0]} For position , [2, 2, 1, 5, 0, 1], and roll, {3, 4}, the best moves are {[2, 2, 2, 4, 0, 0]} For position , [4, 1, 1, 4, 0, 1], and roll, {3, 4}, the best moves are {[4, 1, 2, 3, 0, 0]} For position , [3, 2, 1, 4, 0, 1], and roll, {3, 4}, the best moves are {[3, 2, 2, 3, 0, 0]} For position , [2, 3, 1, 4, 0, 1], and roll, {3, 4}, the best moves are {[2, 3, 2, 3, 0, 0]} For position , [3, 0, 5, 2, 0, 1], and roll, {3, 4}, the best moves are {[3, 1, 4, 2, 0, 0]} For position , [3, 0, 4, 1, 2, 1], and roll, {3, 4}, the best moves are {[3, 1, 3, 1, 2, 0]} For position , [2, 0, 5, 1, 2, 1], and roll, {3, 4}, the best moves are {[2, 1, 4, 1, 2, 0]} When the roll was, {3, 4}, and there were, 11, checkers , the exceptions to greedy play were {[{3, 4}, [5, 0, 3, 2, 0, 1], [5, 1, 2, 2, 0, 0]], [{3, 4}, [4, 2, 1, 3, 0, 1], [4, 2, 2, 2, 0, 0]], [{3, 4}, [2, 0, 5, 1, 2, 1], [2, 1, 4, 1, 2, 0]], [{3, 4}, [6, 0, 3, 1, 1, 0], [6, 1, 3, 0, 0, 0]], [{3, 4}, [6, 0, 2, 2, 0, 1], [6, 1, 1, 2, 0, 0]], [{3, 4}, [5, 0, 1, 4, 1, 0], [5, 1, 1, 3, 0, 0]], [{3, 4}, [4, 3, 1, 2, 0, 1], [4, 3, 2, 1, 0, 0]], [{3, 4}, [3, 0, 3, 1, 3, 1], [3, 1, 2, 1, 3, 0]], [{3, 4}, [3, 1, 1, 5, 0, 1], [3, 1, 2, 4, 0, 0]], [{3, 4}, [7, 0, 2, 1, 0, 1], [7, 1, 1, 1, 0, 0]], [{3, 4}, [7, 0, 2, 1, 1, 0], [7, 1, 2, 0, 0, 0]], [{3, 4}, [4, 1, 1, 4, 0, 1], [4, 1, 2, 3, 0, 0]], [{3, 4}, [3, 3, 1, 3, 0, 1], [3, 3, 2, 2, 0, 0]], [{3, 4}, [5, 1, 1, 3, 0, 1], [5, 1, 2, 2, 0, 0]], [{3, 4}, [2, 0, 4, 1, 3, 1], [2, 1, 3, 1, 3, 0]], [{3, 4}, [3, 0, 6, 1, 0, 1], [3, 1, 5, 1, 0, 0]], [{3, 4}, [3, 0, 4, 1, 2, 1], [3, 1, 3, 1, 2, 0]], [{3, 4}, [3, 2, 1, 4, 0, 1], [3, 2, 2, 3, 0, 0]], [{3, 4}, [2, 3, 1, 4, 0, 1], [2, 3, 2, 3, 0, 0]], [{3, 4}, [3, 0, 5, 2, 0, 1], [3, 1, 4, 2, 0, 0]], [{3, 4}, [2, 2, 1, 5, 0, 1], [2, 2, 2, 4, 0, 0]], [{3, 4}, [2, 4, 1, 3, 0, 1], [2, 4, 2, 2, 0, 0]], [{3, 4}, [6, 0, 3, 1, 0, 1], [6, 1, 2, 1, 0, 0]], [{3, 4}, [3, 0, 1, 6, 1, 0], [3, 1, 1, 5, 0, 0]], [{3, 4}, [4, 0, 5, 1, 0, 1], [4, 1, 4, 1, 0, 0]], [{3, 4}, [2, 0, 7, 1, 0, 1], [2, 1, 6, 1, 0, 0]], [{3, 4}, [5, 0, 4, 1, 1, 0], [5, 1, 4, 0, 0, 0]], [{3, 4}, [5, 0, 4, 1, 0, 1], [5, 1, 3, 1, 0, 0]], [{3, 4}, [3, 4, 1, 2, 0, 1], [3, 4, 2, 1, 0, 0]], [{3, 4}, [5, 2, 1, 2, 0, 1], [5, 2, 2, 1, 0, 0]], [{3, 4}, [2, 1, 1, 6, 0, 1], [2, 1, 2, 5, 0, 0]]} For position , [5, 2, 1, 1, 1, 1], and roll, {3, 5}, the best moves are {[5, 2, 2, 1, 0, 0]} For position , [4, 3, 1, 1, 1, 1], and roll, {3, 5}, the best moves are {[4, 3, 2, 1, 0, 0]} For position , [3, 4, 1, 1, 1, 1], and roll, {3, 5}, the best moves are {[3, 4, 2, 1, 0, 0]} For position , [5, 0, 1, 3, 2, 0], and roll, {3, 5}, the best moves are {[5, 1, 1, 3, 0, 0]} For position , [5, 0, 4, 0, 2, 0], and roll, {3, 5}, the best moves are {[5, 1, 4, 0, 0, 0]} For position , [3, 0, 1, 5, 2, 0], and roll, {3, 5}, the best moves are {[3, 1, 1, 5, 0, 0]} For position , [4, 1, 1, 3, 1, 1], and roll, {3, 5}, the best moves are {[4, 1, 2, 3, 0, 0]} For position , [3, 2, 1, 3, 1, 1], and roll, {3, 5}, the best moves are {[3, 2, 2, 3, 0, 0]} For position , [2, 3, 1, 3, 1, 1], and roll, {3, 5}, the best moves are {[2, 3, 2, 3, 0, 0]} For position , [3, 1, 1, 4, 1, 1], and roll, {3, 5}, the best moves are {[3, 1, 2, 4, 0, 0]} For position , [2, 2, 1, 4, 1, 1], and roll, {3, 5}, the best moves are {[2, 2, 2, 4, 0, 0]} For position , [2, 1, 1, 5, 1, 1], and roll, {3, 5}, the best moves are {[2, 1, 2, 5, 0, 0]} For position , [5, 1, 1, 2, 1, 1], and roll, {3, 5}, the best moves are {[5, 1, 2, 2, 0, 0]} For position , [4, 2, 1, 2, 1, 1], and roll, {3, 5}, the best moves are {[4, 2, 2, 2, 0, 0]} For position , [3, 3, 1, 2, 1, 1], and roll, {3, 5}, the best moves are {[3, 3, 2, 2, 0, 0]} For position , [2, 4, 1, 2, 1, 1], and roll, {3, 5}, the best moves are {[2, 4, 2, 2, 0, 0]} For position , [6, 0, 3, 0, 2, 0], and roll, {3, 5}, the best moves are {[6, 1, 3, 0, 0, 0]} For position , [7, 0, 2, 0, 2, 0], and roll, {3, 5}, the best moves are {[7, 1, 2, 0, 0, 0]} When the roll was, {3, 5}, and there were, 11, checkers , the exceptions to greedy play were {[{3, 5}, [3, 2, 1, 3, 1, 1], [3, 2, 2, 3, 0, 0]], [{3, 5}, [2, 3, 1, 3, 1, 1], [2, 3, 2, 3, 0, 0]], [{3, 5}, [4, 3, 1, 1, 1, 1], [4, 3, 2, 1, 0, 0]], [{3, 5}, [3, 1, 1, 4, 1, 1], [3, 1, 2, 4, 0, 0]], [{3, 5}, [5, 2, 1, 1, 1, 1], [5, 2, 2, 1, 0, 0]], [{3, 5}, [3, 0, 1, 5, 2, 0], [3, 1, 1, 5, 0, 0]], [{3, 5}, [5, 0, 4, 0, 2, 0], [5, 1, 4, 0, 0, 0]], [{3, 5}, [4, 1, 1, 3, 1, 1], [4, 1, 2, 3, 0, 0]], [{3, 5}, [4, 2, 1, 2, 1, 1], [4, 2, 2, 2, 0, 0]], [{3, 5}, [5, 1, 1, 2, 1, 1], [5, 1, 2, 2, 0, 0]], [{3, 5}, [7, 0, 2, 0, 2, 0], [7, 1, 2, 0, 0, 0]], [{3, 5}, [6, 0, 3, 0, 2, 0], [6, 1, 3, 0, 0, 0]], [{3, 5}, [2, 4, 1, 2, 1, 1], [2, 4, 2, 2, 0, 0]], [{3, 5}, [3, 3, 1, 2, 1, 1], [3, 3, 2, 2, 0, 0]], [{3, 5}, [2, 2, 1, 4, 1, 1], [2, 2, 2, 4, 0, 0]], [{3, 5}, [2, 1, 1, 5, 1, 1], [2, 1, 2, 5, 0, 0]], [{3, 5}, [3, 4, 1, 1, 1, 1], [3, 4, 2, 1, 0, 0]], [{3, 5}, [5, 0, 1, 3, 2, 0], [5, 1, 1, 3, 0, 0]]} For position , [5, 2, 1, 1, 0, 2], and roll, {3, 6}, the best moves are {[5, 2, 2, 1, 0, 0]} For position , [4, 3, 1, 1, 0, 2], and roll, {3, 6}, the best moves are {[4, 3, 2, 1, 0, 0]} For position , [3, 4, 1, 1, 0, 2], and roll, {3, 6}, the best moves are {[3, 4, 2, 1, 0, 0]} For position , [7, 0, 2, 0, 1, 1], and roll, {3, 6}, the best moves are {[7, 1, 2, 0, 0, 0]} For position , [3, 3, 1, 2, 0, 2], and roll, {3, 6}, the best moves are {[3, 3, 2, 2, 0, 0]} For position , [2, 4, 1, 2, 0, 2], and roll, {3, 6}, the best moves are {[2, 4, 2, 2, 0, 0]} For position , [4, 2, 1, 2, 0, 2], and roll, {3, 6}, the best moves are {[4, 2, 2, 2, 0, 0]} For position , [5, 1, 1, 2, 0, 2], and roll, {3, 6}, the best moves are {[5, 1, 2, 2, 0, 0]} For position , [6, 0, 3, 0, 1, 1], and roll, {3, 6}, the best moves are {[6, 1, 3, 0, 0, 0]} For position , [5, 0, 4, 0, 1, 1], and roll, {3, 6}, the best moves are {[5, 1, 4, 0, 0, 0]} For position , [5, 0, 1, 3, 1, 1], and roll, {3, 6}, the best moves are {[5, 1, 1, 3, 0, 0]} For position , [3, 1, 1, 4, 0, 2], and roll, {3, 6}, the best moves are {[3, 1, 2, 4, 0, 0]} For position , [2, 2, 1, 4, 0, 2], and roll, {3, 6}, the best moves are {[2, 2, 2, 4, 0, 0]} For position , [2, 1, 1, 5, 0, 2], and roll, {3, 6}, the best moves are {[2, 1, 2, 5, 0, 0]} For position , [3, 0, 1, 5, 1, 1], and roll, {3, 6}, the best moves are {[3, 1, 1, 5, 0, 0]} For position , [4, 1, 1, 3, 0, 2], and roll, {3, 6}, the best moves are {[4, 1, 2, 3, 0, 0]} For position , [3, 2, 1, 3, 0, 2], and roll, {3, 6}, the best moves are {[3, 2, 2, 3, 0, 0]} For position , [2, 3, 1, 3, 0, 2], and roll, {3, 6}, the best moves are {[2, 3, 2, 3, 0, 0]} When the roll was, {3, 6}, and there were, 11, checkers , the exceptions to greedy play were {[{3, 6}, [2, 1, 1, 5, 0, 2], [2, 1, 2, 5, 0, 0]], [{3, 6}, [3, 2, 1, 3, 0, 2], [3, 2, 2, 3, 0, 0]], [{3, 6}, [3, 0, 1, 5, 1, 1], [3, 1, 1, 5, 0, 0]], [{3, 6}, [4, 1, 1, 3, 0, 2], [4, 1, 2, 3, 0, 0]], [{3, 6}, [2, 3, 1, 3, 0, 2], [2, 3, 2, 3, 0, 0]], [{3, 6}, [3, 3, 1, 2, 0, 2], [3, 3, 2, 2, 0, 0]], [{3, 6}, [7, 0, 2, 0, 1, 1], [7, 1, 2, 0, 0, 0]], [{3, 6}, [3, 4, 1, 1, 0, 2], [3, 4, 2, 1, 0, 0]], [{3, 6}, [4, 3, 1, 1, 0, 2], [4, 3, 2, 1, 0, 0]], [{3, 6}, [5, 2, 1, 1, 0, 2], [5, 2, 2, 1, 0, 0]], [{3, 6}, [5, 0, 4, 0, 1, 1], [5, 1, 4, 0, 0, 0]], [{3, 6}, [6, 0, 3, 0, 1, 1], [6, 1, 3, 0, 0, 0]], [{3, 6}, [5, 1, 1, 2, 0, 2], [5, 1, 2, 2, 0, 0]], [{3, 6}, [4, 2, 1, 2, 0, 2], [4, 2, 2, 2, 0, 0]], [{3, 6}, [2, 4, 1, 2, 0, 2], [2, 4, 2, 2, 0, 0]], [{3, 6}, [5, 0, 1, 3, 1, 1], [5, 1, 1, 3, 0, 0]], [{3, 6}, [3, 1, 1, 4, 0, 2], [3, 1, 2, 4, 0, 0]], [{3, 6}, [2, 2, 1, 4, 0, 2], [2, 2, 2, 4, 0, 0]]} For position , [3, 0, 5, 1, 1, 1], and roll, {4, 5}, the best moves are {[3, 1, 5, 1, 0, 0]} For position , [7, 0, 1, 1, 1, 1], and roll, {4, 5}, the best moves are {[7, 1, 1, 1, 0, 0]} For position , [6, 0, 2, 1, 1, 1], and roll, {4, 5}, the best moves are {[6, 1, 2, 1, 0, 0]} For position , [5, 0, 3, 1, 1, 1], and roll, {4, 5}, the best moves are {[5, 1, 3, 1, 0, 0]} For position , [2, 0, 6, 1, 1, 1], and roll, {4, 5}, the best moves are {[2, 1, 6, 1, 0, 0]} For position , [6, 0, 1, 2, 1, 1], and roll, {4, 5}, the best moves are {[6, 1, 1, 2, 0, 0]} For position , [5, 0, 2, 2, 1, 1], and roll, {4, 5}, the best moves are {[5, 1, 2, 2, 0, 0]} For position , [3, 0, 3, 1, 3, 1], and roll, {4, 5}, the best moves are {[3, 1, 3, 1, 2, 0]} For position , [2, 0, 4, 1, 3, 1], and roll, {4, 5}, the best moves are {[2, 1, 4, 1, 2, 0]} For position , [3, 0, 2, 1, 4, 1], and roll, {4, 5}, the best moves are {[3, 1, 2, 1, 3, 0]} For position , [2, 0, 3, 1, 4, 1], and roll, {4, 5}, the best moves are {[2, 1, 3, 1, 3, 0]} For position , [4, 0, 4, 1, 1, 1], and roll, {4, 5}, the best moves are {[4, 1, 4, 1, 0, 0]} For position , [3, 0, 4, 2, 1, 1], and roll, {4, 5}, the best moves are {[3, 1, 4, 2, 0, 0]} When the roll was, {4, 5}, and there were, 11, checkers , the exceptions to greedy play were {[{4, 5}, [2, 0, 4, 1, 3, 1], [2, 1, 4, 1, 2, 0]], [{4, 5}, [5, 0, 3, 1, 1, 1], [5, 1, 3, 1, 0, 0]], [{4, 5}, [6, 0, 2, 1, 1, 1], [6, 1, 2, 1, 0, 0]], [{4, 5}, [7, 0, 1, 1, 1, 1], [7, 1, 1, 1, 0, 0]], [{4, 5}, [5, 0, 2, 2, 1, 1], [5, 1, 2, 2, 0, 0]], [{4, 5}, [6, 0, 1, 2, 1, 1], [6, 1, 1, 2, 0, 0]], [{4, 5}, [4, 0, 4, 1, 1, 1], [4, 1, 4, 1, 0, 0]], [{4, 5}, [3, 0, 2, 1, 4, 1], [3, 1, 2, 1, 3, 0]], [{4, 5}, [3, 0, 3, 1, 3, 1], [3, 1, 3, 1, 2, 0]], [{4, 5}, [2, 0, 3, 1, 4, 1], [2, 1, 3, 1, 3, 0]], [{4, 5}, [3, 0, 4, 2, 1, 1], [3, 1, 4, 2, 0, 0]], [{4, 5}, [2, 0, 6, 1, 1, 1], [2, 1, 6, 1, 0, 0]], [{4, 5}, [3, 0, 5, 1, 1, 1], [3, 1, 5, 1, 0, 0]]} For position , [3, 0, 5, 1, 0, 2], and roll, {4, 6}, the best moves are {[3, 1, 5, 1, 0, 0]} For position , [5, 0, 3, 1, 0, 2], and roll, {4, 6}, the best moves are {[5, 1, 3, 1, 0, 0]} For position , [2, 0, 6, 1, 0, 2], and roll, {4, 6}, the best moves are {[2, 1, 6, 1, 0, 0]} For position , [7, 0, 1, 1, 0, 2], and roll, {4, 6}, the best moves are {[7, 1, 1, 1, 0, 0]} For position , [6, 0, 2, 1, 0, 2], and roll, {4, 6}, the best moves are {[6, 1, 2, 1, 0, 0]} For position , [3, 0, 3, 1, 2, 2], and roll, {4, 6}, the best moves are {[3, 1, 3, 1, 2, 0]} For position , [2, 0, 4, 1, 2, 2], and roll, {4, 6}, the best moves are {[2, 1, 4, 1, 2, 0]} For position , [5, 0, 2, 2, 0, 2], and roll, {4, 6}, the best moves are {[5, 1, 2, 2, 0, 0]} For position , [6, 0, 1, 2, 0, 2], and roll, {4, 6}, the best moves are {[6, 1, 1, 2, 0, 0]} For position , [4, 0, 4, 1, 0, 2], and roll, {4, 6}, the best moves are {[4, 1, 4, 1, 0, 0]} For position , [3, 0, 2, 1, 3, 2], and roll, {4, 6}, the best moves are {[3, 1, 2, 1, 3, 0]} For position , [2, 0, 3, 1, 3, 2], and roll, {4, 6}, the best moves are {[2, 1, 3, 1, 3, 0]} For position , [3, 0, 4, 2, 0, 2], and roll, {4, 6}, the best moves are {[3, 1, 4, 2, 0, 0]} When the roll was, {4, 6}, and there were, 11, checkers , the exceptions to greedy play were {[{4, 6}, [5, 0, 2, 2, 0, 2], [5, 1, 2, 2, 0, 0]], [{4, 6}, [6, 0, 1, 2, 0, 2], [6, 1, 1, 2, 0, 0]], [{4, 6}, [4, 0, 4, 1, 0, 2], [4, 1, 4, 1, 0, 0]], [{4, 6}, [3, 0, 2, 1, 3, 2], [3, 1, 2, 1, 3, 0]], [{4, 6}, [7, 0, 1, 1, 0, 2], [7, 1, 1, 1, 0, 0]], [{4, 6}, [6, 0, 2, 1, 0, 2], [6, 1, 2, 1, 0, 0]], [{4, 6}, [2, 0, 6, 1, 0, 2], [2, 1, 6, 1, 0, 0]], [{4, 6}, [2, 0, 4, 1, 2, 2], [2, 1, 4, 1, 2, 0]], [{4, 6}, [2, 0, 3, 1, 3, 2], [2, 1, 3, 1, 3, 0]], [{4, 6}, [3, 0, 5, 1, 0, 2], [3, 1, 5, 1, 0, 0]], [{4, 6}, [5, 0, 3, 1, 0, 2], [5, 1, 3, 1, 0, 0]], [{4, 6}, [3, 0, 3, 1, 2, 2], [3, 1, 3, 1, 2, 0]], [{4, 6}, [3, 0, 4, 2, 0, 2], [3, 1, 4, 2, 0, 0]]} For position , [5, 0, 1, 5, 0, 1], and roll, {1, 3}, the best moves are {[4, 0, 2, 5, 0, 0]} For position , [4, 0, 1, 6, 0, 1], and roll, {1, 3}, the best moves are {[3, 0, 2, 6, 0, 0]} For position , [3, 0, 1, 7, 0, 1], and roll, {1, 3}, the best moves are {[2, 0, 2, 7, 0, 0]} When the roll was, {1, 3}, and there were, 12, checkers , the exceptions to greedy play were {[{1, 3}, [3, 0, 1, 7, 0, 1], [2, 0, 2, 7, 0, 0]], [{1, 3}, [5, 0, 1, 5, 0, 1], [4, 0, 2, 5, 0, 0]], [{1, 3}, [4, 0, 1, 6, 0, 1], [3, 0, 2, 6, 0, 0]]} For position , [2, 1, 1, 7, 0, 1], and roll, {2, 3}, the best moves are {[2, 0, 2, 7, 0, 0]} For position , [4, 1, 1, 5, 0, 1], and roll, {2, 3}, the best moves are {[4, 0, 2, 5, 0, 0]} For position , [3, 1, 1, 6, 0, 1], and roll, {2, 3}, the best moves are {[3, 0, 2, 6, 0, 0]} When the roll was, {2, 3}, and there were, 12, checkers , the exceptions to greedy play were {[{2, 3}, [2, 1, 1, 7, 0, 1], [2, 0, 2, 7, 0, 0]], [{2, 3}, [4, 1, 1, 5, 0, 1], [4, 0, 2, 5, 0, 0]], [{2, 3}, [3, 1, 1, 6, 0, 1], [3, 0, 2, 6, 0, 0]]} For position , [2, 0, 1, 8, 0, 1], and roll, {3, 4}, the best moves are {[2, 0, 2, 7, 0, 0]} For position , [4, 0, 1, 6, 0, 1], and roll, {3, 4}, the best moves are {[4, 0, 2, 5, 0, 0]} For position , [3, 0, 1, 7, 0, 1], and roll, {3, 4}, the best moves are {[3, 0, 2, 6, 0, 0]} When the roll was, {3, 4}, and there were, 12, checkers , the exceptions to greedy play were {[{3, 4}, [4, 0, 1, 6, 0, 1], [4, 0, 2, 5, 0, 0]], [{3, 4}, [3, 0, 1, 7, 0, 1], [3, 0, 2, 6, 0, 0]], [{3, 4}, [2, 0, 1, 8, 0, 1], [2, 0, 2, 7, 0, 0]]} For position , [4, 0, 1, 5, 1, 1], and roll, {3, 5}, the best moves are {[4, 0, 2, 5, 0, 0]} For position , [3, 0, 1, 6, 1, 1], and roll, {3, 5}, the best moves are {[3, 0, 2, 6, 0, 0]} For position , [2, 0, 1, 7, 1, 1], and roll, {3, 5}, the best moves are {[2, 0, 2, 7, 0, 0]} When the roll was, {3, 5}, and there were, 12, checkers , the exceptions to greedy play were {[{3, 5}, [4, 0, 1, 5, 1, 1], [4, 0, 2, 5, 0, 0]], [{3, 5}, [3, 0, 1, 6, 1, 1], [3, 0, 2, 6, 0, 0]], [{3, 5}, [2, 0, 1, 7, 1, 1], [2, 0, 2, 7, 0, 0]]} For position , [3, 0, 1, 6, 0, 2], and roll, {3, 6}, the best moves are {[3, 0, 2, 6, 0, 0]} For position , [2, 0, 1, 7, 0, 2], and roll, {3, 6}, the best moves are {[2, 0, 2, 7, 0, 0]} For position , [4, 0, 1, 5, 0, 2], and roll, {3, 6}, the best moves are {[4, 0, 2, 5, 0, 0]} When the roll was, {3, 6}, and there were, 12, checkers , the exceptions to greedy play were {[{3, 6}, [2, 0, 1, 7, 0, 2], [2, 0, 2, 7, 0, 0]], [{3, 6}, [3, 0, 1, 6, 0, 2], [3, 0, 2, 6, 0, 0]], [{3, 6}, [4, 0, 1, 5, 0, 2], [4, 0, 2, 5, 0, 0]]} For position , [9, 1, 2, 1, 0, 0], and roll, {1, 2}, the best moves are {[8, 2, 2, 0, 0, 0]} For position , [6, 1, 0, 5, 1, 0], and roll, {1, 2}, the best moves are {[5, 1, 1, 5, 0, 0]} For position , [7, 1, 4, 1, 0, 0], and roll, {1, 2}, the best moves are {[6, 2, 4, 0, 0, 0]} For position , [8, 1, 3, 1, 0, 0], and roll, {1, 2}, the best moves are {[7, 2, 3, 0, 0, 0]} For position , [3, 1, 8, 1, 0, 0], and roll, {1, 2}, the best moves are {[2, 2, 8, 0, 0, 0]} For position , [4, 1, 7, 1, 0, 0], and roll, {1, 2}, the best moves are {[3, 2, 7, 0, 0, 0]} For position , [4, 1, 5, 3, 0, 0], and roll, {1, 2}, the best moves are {[3, 2, 5, 2, 0, 0]} For position , [6, 1, 5, 1, 0, 0], and roll, {1, 2}, the best moves are {[5, 2, 5, 0, 0, 0]} For position , [8, 1, 3, 0, 1, 0], and roll, {1, 2}, the best moves are {[7, 1, 4, 0, 0, 0]} For position , [3, 1, 7, 2, 0, 0], and roll, {1, 2}, the best moves are {[2, 2, 7, 1, 0, 0]} For position , [4, 1, 6, 2, 0, 0], and roll, {1, 2}, the best moves are {[3, 2, 6, 1, 0, 0]} For position , [8, 1, 2, 2, 0, 0], and roll, {1, 2}, the best moves are {[7, 2, 2, 1, 0, 0]} For position , [8, 1, 0, 3, 1, 0], and roll, {1, 2}, the best moves are {[7, 1, 1, 3, 0, 0]} For position , [5, 1, 6, 1, 0, 0], and roll, {1, 2}, the best moves are {[4, 2, 6, 0, 0, 0]} For position , [5, 1, 5, 2, 0, 0], and roll, {1, 2}, the best moves are {[4, 2, 5, 1, 0, 0]} For position , [6, 1, 4, 2, 0, 0], and roll, {1, 2}, the best moves are {[5, 2, 4, 1, 0, 0]} For position , [9, 1, 2, 0, 1, 0], and roll, {1, 2}, the best moves are {[8, 1, 3, 0, 0, 0]} For position , [4, 1, 0, 7, 1, 0], and roll, {1, 2}, the best moves are {[3, 1, 1, 7, 0, 0]} For position , [3, 1, 0, 8, 1, 0], and roll, {1, 2}, the best moves are {[2, 1, 1, 8, 0, 0]} For position , [7, 1, 4, 0, 1, 0], and roll, {1, 2}, the best moves are {[6, 1, 5, 0, 0, 0]} For position , [6, 1, 5, 0, 1, 0], and roll, {1, 2}, the best moves are {[5, 1, 6, 0, 0, 0]} For position , [7, 1, 0, 4, 1, 0], and roll, {1, 2}, the best moves are {[6, 1, 1, 4, 0, 0]} For position , [10, 1, 1, 0, 1, 0], and roll, {1, 2}, the best moves are {[9, 1, 2, 0, 0, 0]} For position , [5, 1, 0, 6, 1, 0], and roll, {1, 2}, the best moves are {[4, 1, 1, 6, 0, 0]} For position , [9, 1, 1, 1, 0, 1], and roll, {1, 2}, the best moves are {[8, 1, 1, 2, 0, 0]} For position , [3, 1, 4, 0, 4, 1], and roll, {1, 2}, the best moves are {[2, 1, 4, 1, 4, 0]} For position , [5, 1, 2, 0, 4, 1], and roll, {1, 2}, the best moves are {[4, 1, 2, 1, 4, 0]} For position , [4, 1, 3, 0, 4, 1], and roll, {1, 2}, the best moves are {[3, 1, 3, 1, 4, 0]} For position , [3, 1, 2, 0, 6, 1], and roll, {1, 2}, the best moves are {[2, 1, 2, 1, 6, 0]} For position , [5, 1, 3, 0, 3, 1], and roll, {1, 2}, the best moves are {[4, 1, 3, 1, 3, 0]} For position , [6, 1, 2, 0, 3, 1], and roll, {1, 2}, the best moves are {[5, 1, 2, 1, 3, 0]} For position , [4, 1, 2, 0, 5, 1], and roll, {1, 2}, the best moves are {[3, 1, 2, 1, 5, 0]} For position , [9, 1, 2, 0, 0, 1], and roll, {1, 2}, the best moves are {[8, 1, 2, 1, 0, 0]} For position , [10, 1, 1, 0, 0, 1], and roll, {1, 2}, the best moves are {[9, 1, 1, 1, 0, 0]} For position , [2, 1, 4, 0, 5, 1], and roll, {1, 2}, the best moves are {[1, 1, 4, 1, 5, 0]} For position , [3, 1, 3, 0, 5, 1], and roll, {1, 2}, the best moves are {[2, 1, 3, 1, 5, 0]} For position , [8, 1, 3, 0, 0, 1], and roll, {1, 2}, the best moves are {[7, 1, 3, 1, 0, 0]} For position , [3, 1, 5, 0, 3, 1], and roll, {1, 2}, the best moves are {[2, 1, 5, 1, 3, 0]} For position , [4, 1, 4, 0, 3, 1], and roll, {1, 2}, the best moves are {[3, 1, 4, 1, 3, 0]} For position , [4, 1, 5, 0, 2, 1], and roll, {1, 2}, the best moves are {[3, 1, 5, 1, 2, 0]} For position , [5, 1, 4, 0, 2, 1], and roll, {1, 2}, the best moves are {[4, 1, 4, 1, 2, 0]} For position , [4, 1, 6, 0, 1, 1], and roll, {1, 2}, the best moves are {[3, 1, 6, 1, 1, 0]} For position , [5, 1, 5, 0, 1, 1], and roll, {1, 2}, the best moves are {[4, 1, 5, 1, 1, 0]} For position , [6, 1, 4, 0, 1, 1], and roll, {1, 2}, the best moves are {[5, 1, 4, 1, 1, 0]} For position , [6, 1, 3, 0, 2, 1], and roll, {1, 2}, the best moves are {[5, 1, 3, 1, 2, 0]} For position , [7, 1, 2, 0, 2, 1], and roll, {1, 2}, the best moves are {[6, 1, 2, 1, 2, 0]} For position , [6, 1, 5, 0, 0, 1], and roll, {1, 2}, the best moves are {[5, 1, 5, 1, 0, 0]} For position , [6, 2, 4, 0, 0, 1], and roll, {1, 2}, the best moves are {[5, 2, 4, 1, 0, 0]} For position , [7, 1, 4, 0, 0, 1], and roll, {1, 2}, the best moves are {[6, 1, 4, 1, 0, 0]} For position , [3, 1, 6, 0, 2, 1], and roll, {1, 2}, the best moves are {[2, 1, 6, 1, 2, 0]} For position , [8, 1, 2, 1, 0, 1], and roll, {1, 2}, the best moves are {[7, 1, 2, 2, 0, 0]} For position , [5, 1, 6, 0, 0, 1], and roll, {1, 2}, the best moves are {[4, 1, 6, 1, 0, 0]} For position , [5, 1, 5, 1, 0, 1], and roll, {1, 2}, the best moves are {[4, 1, 5, 2, 0, 0]} For position , [6, 1, 4, 1, 0, 1], and roll, {1, 2}, the best moves are {[5, 1, 4, 2, 0, 0]} For position , [4, 1, 7, 0, 0, 1], and roll, {1, 2}, the best moves are {[3, 1, 7, 1, 0, 0]} For position , [7, 1, 3, 1, 0, 1], and roll, {1, 2}, the best moves are {[6, 1, 3, 2, 0, 0]} For position , [4, 1, 6, 0, 0, 2], and roll, {1, 2}, the best moves are {[3, 1, 6, 1, 0, 1]} For position , [5, 1, 5, 0, 0, 2], and roll, {1, 2}, the best moves are {[4, 1, 5, 1, 0, 1]} When the roll was, {1, 2}, and there were, 13, checkers , the exceptions to greedy play were {[{1, 2}, [4, 1, 0, 7, 1, 0], [3, 1, 1, 7, 0, 0]], [{1, 2}, [9, 1, 1, 1, 0, 1], [8, 1, 1, 2, 0, 0]], [{1, 2}, [8, 1, 3, 1, 0, 0], [7, 2, 3, 0, 0, 0]], [{1, 2}, [2, 1, 4, 0, 5, 1], [1, 1, 4, 1, 5, 0]], [{1, 2}, [6, 1, 4, 1, 0, 1], [5, 1, 4, 2, 0, 0]], [{1, 2}, [6, 1, 3, 0, 2, 1], [5, 1, 3, 1, 2, 0]], [{1, 2}, [4, 1, 6, 0, 0, 2], [3, 1, 6, 1, 0, 1]], [{1, 2}, [4, 1, 2, 0, 5, 1], [3, 1, 2, 1, 5, 0]], [{1, 2}, [8, 1, 3, 0, 0, 1], [7, 1, 3, 1, 0, 0]], [{1, 2}, [7, 1, 4, 1, 0, 0], [6, 2, 4, 0, 0, 0]], [{1, 2}, [6, 1, 5, 0, 0, 1], [5, 1, 5, 1, 0, 0]], [{1, 2}, [3, 1, 5, 0, 3, 1], [2, 1, 5, 1, 3, 0]], [{1, 2}, [8, 1, 2, 2, 0, 0], [7, 2, 2, 1, 0, 0]], [{1, 2}, [6, 1, 0, 5, 1, 0], [5, 1, 1, 5, 0, 0]], [{1, 2}, [5, 1, 5, 0, 0, 2], [4, 1, 5, 1, 0, 1]], [{1, 2}, [8, 1, 3, 0, 1, 0], [7, 1, 4, 0, 0, 0]], [{1, 2}, [4, 1, 4, 0, 3, 1], [3, 1, 4, 1, 3, 0]], [{1, 2}, [4, 1, 7, 1, 0, 0], [3, 2, 7, 0, 0, 0]], [{1, 2}, [8, 1, 0, 3, 1, 0], [7, 1, 1, 3, 0, 0]], [{1, 2}, [4, 1, 5, 3, 0, 0], [3, 2, 5, 2, 0, 0]], [{1, 2}, [6, 1, 5, 1, 0, 0], [5, 2, 5, 0, 0, 0]], [{1, 2}, [3, 1, 7, 2, 0, 0], [2, 2, 7, 1, 0, 0]], [{1, 2}, [4, 1, 6, 2, 0, 0], [3, 2, 6, 1, 0, 0]], [{1, 2}, [9, 1, 2, 0, 0, 1], [8, 1, 2, 1, 0, 0]], [{1, 2}, [5, 1, 6, 1, 0, 0], [4, 2, 6, 0, 0, 0]], [{1, 2}, [5, 1, 6, 0, 0, 1], [4, 1, 6, 1, 0, 0]], [{1, 2}, [5, 1, 5, 2, 0, 0], [4, 2, 5, 1, 0, 0]], [{1, 2}, [6, 1, 4, 2, 0, 0], [5, 2, 4, 1, 0, 0]], [{1, 2}, [7, 1, 4, 0, 0, 1], [6, 1, 4, 1, 0, 0]], [{1, 2}, [3, 1, 0, 8, 1, 0], [2, 1, 1, 8, 0, 0]], [{1, 2}, [6, 1, 5, 0, 1, 0], [5, 1, 6, 0, 0, 0]], [{1, 2}, [7, 1, 0, 4, 1, 0], [6, 1, 1, 4, 0, 0]], [{1, 2}, [4, 1, 5, 0, 2, 1], [3, 1, 5, 1, 2, 0]], [{1, 2}, [5, 1, 0, 6, 1, 0], [4, 1, 1, 6, 0, 0]], [{1, 2}, [4, 1, 7, 0, 0, 1], [3, 1, 7, 1, 0, 0]], [{1, 2}, [7, 1, 3, 1, 0, 1], [6, 1, 3, 2, 0, 0]], [{1, 2}, [3, 1, 4, 0, 4, 1], [2, 1, 4, 1, 4, 0]], [{1, 2}, [9, 1, 2, 0, 1, 0], [8, 1, 3, 0, 0, 0]], [{1, 2}, [5, 1, 2, 0, 4, 1], [4, 1, 2, 1, 4, 0]], [{1, 2}, [3, 1, 3, 0, 5, 1], [2, 1, 3, 1, 5, 0]], [{1, 2}, [7, 1, 4, 0, 1, 0], [6, 1, 5, 0, 0, 0]], [{1, 2}, [7, 1, 2, 0, 2, 1], [6, 1, 2, 1, 2, 0]], [{1, 2}, [5, 1, 4, 0, 2, 1], [4, 1, 4, 1, 2, 0]], [{1, 2}, [3, 1, 8, 1, 0, 0], [2, 2, 8, 0, 0, 0]], [{1, 2}, [3, 1, 2, 0, 6, 1], [2, 1, 2, 1, 6, 0]], [{1, 2}, [4, 1, 3, 0, 4, 1], [3, 1, 3, 1, 4, 0]], [{1, 2}, [5, 1, 5, 1, 0, 1], [4, 1, 5, 2, 0, 0]], [{1, 2}, [10, 1, 1, 0, 0, 1], [9, 1, 1, 1, 0, 0]], [{1, 2}, [10, 1, 1, 0, 1, 0], [9, 1, 2, 0, 0, 0]], [{1, 2}, [8, 1, 2, 1, 0, 1], [7, 1, 2, 2, 0, 0]], [{1, 2}, [5, 1, 3, 0, 3, 1], [4, 1, 3, 1, 3, 0]], [{1, 2}, [9, 1, 2, 1, 0, 0], [8, 2, 2, 0, 0, 0]], [{1, 2}, [4, 1, 6, 0, 1, 1], [3, 1, 6, 1, 1, 0]], [{1, 2}, [3, 1, 6, 0, 2, 1], [2, 1, 6, 1, 2, 0]], [{1, 2}, [5, 1, 5, 0, 1, 1], [4, 1, 5, 1, 1, 0]], [{1, 2}, [6, 1, 2, 0, 3, 1], [5, 1, 2, 1, 3, 0]], [{1, 2}, [6, 1, 4, 0, 1, 1], [5, 1, 4, 1, 1, 0]], [{1, 2}, [6, 2, 4, 0, 0, 1], [5, 2, 4, 1, 0, 0]]} For position , [7, 0, 1, 4, 1, 0], and roll, {1, 3}, the best moves are {[6, 1, 1, 4, 0, 0]} For position , [10, 0, 2, 0, 1, 0], and roll, {1, 3}, the best moves are {[9, 1, 2, 0, 0, 0]} For position , [4, 0, 1, 7, 1, 0], and roll, {1, 3}, the best moves are {[3, 1, 1, 7, 0, 0]} For position , [9, 0, 3, 0, 1, 0], and roll, {1, 3}, the best moves are {[8, 1, 3, 0, 0, 0]} For position , [6, 0, 1, 5, 1, 0], and roll, {1, 3}, the best moves are {[5, 1, 1, 5, 0, 0]} For position , [3, 0, 1, 8, 1, 0], and roll, {1, 3}, the best moves are {[2, 1, 1, 8, 0, 0]} For position , [8, 0, 1, 3, 1, 0], and roll, {1, 3}, the best moves are {[7, 1, 1, 3, 0, 0]} For position , [8, 0, 4, 0, 1, 0], and roll, {1, 3}, the best moves are {[7, 1, 4, 0, 0, 0]} For position , [7, 0, 5, 0, 1, 0], and roll, {1, 3}, the best moves are {[6, 1, 5, 0, 0, 0]} For position , [6, 0, 6, 0, 1, 0], and roll, {1, 3}, the best moves are {[5, 1, 6, 0, 0, 0]} For position , [5, 0, 1, 6, 1, 0], and roll, {1, 3}, the best moves are {[4, 1, 1, 6, 0, 0]} For position , [4, 6, 1, 1, 0, 1], and roll, {1, 3}, the best moves are {[3, 6, 2, 1, 0, 0]} For position , [5, 5, 1, 1, 0, 1], and roll, {1, 3}, the best moves are {[4, 5, 2, 1, 0, 0]} For position , [6, 4, 1, 1, 0, 1], and roll, {1, 3}, the best moves are {[5, 4, 2, 1, 0, 0]} For position , [7, 3, 1, 1, 0, 1], and roll, {1, 3}, the best moves are {[6, 3, 2, 1, 0, 0]} For position , [8, 2, 1, 1, 0, 1], and roll, {1, 3}, the best moves are {[7, 2, 2, 1, 0, 0]} For position , [3, 3, 1, 5, 0, 1], and roll, {1, 3}, the best moves are {[2, 3, 2, 5, 0, 0]} For position , [3, 2, 1, 6, 0, 1], and roll, {1, 3}, the best moves are {[2, 2, 2, 6, 0, 0]} For position , [4, 1, 1, 6, 0, 1], and roll, {1, 3}, the best moves are {[3, 1, 2, 6, 0, 0]} For position , [5, 0, 1, 6, 0, 1], and roll, {1, 3}, the best moves are {[4, 0, 2, 6, 0, 0]} For position , [3, 1, 1, 7, 0, 1], and roll, {1, 3}, the best moves are {[2, 1, 2, 7, 0, 0]} For position , [4, 0, 1, 7, 0, 1], and roll, {1, 3}, the best moves are {[3, 0, 2, 7, 0, 0]} For position , [4, 5, 1, 2, 0, 1], and roll, {1, 3}, the best moves are {[3, 5, 2, 2, 0, 0]} For position , [5, 4, 1, 2, 0, 1], and roll, {1, 3}, the best moves are {[4, 4, 2, 2, 0, 0]} For position , [6, 3, 1, 2, 0, 1], and roll, {1, 3}, the best moves are {[5, 3, 2, 2, 0, 0]} For position , [7, 2, 1, 2, 0, 1], and roll, {1, 3}, the best moves are {[6, 2, 2, 2, 0, 0]} For position , [8, 1, 1, 2, 0, 1], and roll, {1, 3}, the best moves are {[7, 1, 2, 2, 0, 0]} For position , [5, 3, 1, 3, 0, 1], and roll, {1, 3}, the best moves are {[4, 3, 2, 3, 0, 0]} For position , [6, 2, 1, 3, 0, 1], and roll, {1, 3}, the best moves are {[5, 2, 2, 3, 0, 0]} For position , [7, 1, 1, 3, 0, 1], and roll, {1, 3}, the best moves are {[6, 1, 2, 3, 0, 0]} For position , [3, 5, 1, 3, 0, 1], and roll, {1, 3}, the best moves are {[2, 5, 2, 3, 0, 0]} For position , [4, 4, 1, 3, 0, 1], and roll, {1, 3}, the best moves are {[3, 4, 2, 3, 0, 0]} For position , [3, 0, 1, 8, 0, 1], and roll, {1, 3}, the best moves are {[2, 0, 2, 8, 0, 0]} For position , [3, 4, 1, 4, 0, 1], and roll, {1, 3}, the best moves are {[2, 4, 2, 4, 0, 0]} For position , [4, 3, 1, 4, 0, 1], and roll, {1, 3}, the best moves are {[3, 3, 2, 4, 0, 0]} For position , [5, 2, 1, 4, 0, 1], and roll, {1, 3}, the best moves are {[4, 2, 2, 4, 0, 0]} For position , [6, 1, 1, 4, 0, 1], and roll, {1, 3}, the best moves are {[5, 1, 2, 4, 0, 0]} For position , [4, 2, 1, 5, 0, 1], and roll, {1, 3}, the best moves are {[3, 2, 2, 5, 0, 0]} For position , [5, 1, 1, 5, 0, 1], and roll, {1, 3}, the best moves are {[4, 1, 2, 5, 0, 0]} For position , [3, 0, 1, 7, 0, 2], and roll, {1, 3}, the best moves are {[2, 0, 2, 7, 0, 1]} For position , [3, 1, 1, 6, 0, 2], and roll, {1, 3}, the best moves are {[2, 1, 2, 6, 0, 1]} For position , [4, 0, 1, 6, 0, 2], and roll, {1, 3}, the best moves are {[3, 0, 2, 6, 0, 1]} When the roll was, {1, 3}, and there were, 13, checkers , the exceptions to greedy play were {[{1, 3}, [5, 1, 1, 5, 0, 1], [4, 1, 2, 5, 0, 0]], [{1, 3}, [3, 0, 1, 7, 0, 2], [2, 0, 2, 7, 0, 1]], [{1, 3}, [8, 2, 1, 1, 0, 1], [7, 2, 2, 1, 0, 0]], [{1, 3}, [4, 0, 1, 7, 1, 0], [3, 1, 1, 7, 0, 0]], [{1, 3}, [7, 0, 5, 0, 1, 0], [6, 1, 5, 0, 0, 0]], [{1, 3}, [9, 0, 3, 0, 1, 0], [8, 1, 3, 0, 0, 0]], [{1, 3}, [6, 0, 1, 5, 1, 0], [5, 1, 1, 5, 0, 0]], [{1, 3}, [6, 0, 6, 0, 1, 0], [5, 1, 6, 0, 0, 0]], [{1, 3}, [3, 0, 1, 8, 1, 0], [2, 1, 1, 8, 0, 0]], [{1, 3}, [5, 5, 1, 1, 0, 1], [4, 5, 2, 1, 0, 0]], [{1, 3}, [5, 0, 1, 6, 1, 0], [4, 1, 1, 6, 0, 0]], [{1, 3}, [4, 6, 1, 1, 0, 1], [3, 6, 2, 1, 0, 0]], [{1, 3}, [3, 3, 1, 5, 0, 1], [2, 3, 2, 5, 0, 0]], [{1, 3}, [3, 1, 1, 6, 0, 2], [2, 1, 2, 6, 0, 1]], [{1, 3}, [4, 0, 1, 6, 0, 2], [3, 0, 2, 6, 0, 1]], [{1, 3}, [4, 1, 1, 6, 0, 1], [3, 1, 2, 6, 0, 0]], [{1, 3}, [5, 0, 1, 6, 0, 1], [4, 0, 2, 6, 0, 0]], [{1, 3}, [10, 0, 2, 0, 1, 0], [9, 1, 2, 0, 0, 0]], [{1, 3}, [3, 1, 1, 7, 0, 1], [2, 1, 2, 7, 0, 0]], [{1, 3}, [4, 0, 1, 7, 0, 1], [3, 0, 2, 7, 0, 0]], [{1, 3}, [4, 5, 1, 2, 0, 1], [3, 5, 2, 2, 0, 0]], [{1, 3}, [5, 4, 1, 2, 0, 1], [4, 4, 2, 2, 0, 0]], [{1, 3}, [3, 2, 1, 6, 0, 1], [2, 2, 2, 6, 0, 0]], [{1, 3}, [6, 3, 1, 2, 0, 1], [5, 3, 2, 2, 0, 0]], [{1, 3}, [7, 2, 1, 2, 0, 1], [6, 2, 2, 2, 0, 0]], [{1, 3}, [5, 3, 1, 3, 0, 1], [4, 3, 2, 3, 0, 0]], [{1, 3}, [7, 1, 1, 3, 0, 1], [6, 1, 2, 3, 0, 0]], [{1, 3}, [8, 0, 1, 3, 1, 0], [7, 1, 1, 3, 0, 0]], [{1, 3}, [6, 2, 1, 3, 0, 1], [5, 2, 2, 3, 0, 0]], [{1, 3}, [3, 5, 1, 3, 0, 1], [2, 5, 2, 3, 0, 0]], [{1, 3}, [4, 4, 1, 3, 0, 1], [3, 4, 2, 3, 0, 0]], [{1, 3}, [3, 0, 1, 8, 0, 1], [2, 0, 2, 8, 0, 0]], [{1, 3}, [3, 4, 1, 4, 0, 1], [2, 4, 2, 4, 0, 0]], [{1, 3}, [4, 3, 1, 4, 0, 1], [3, 3, 2, 4, 0, 0]], [{1, 3}, [5, 2, 1, 4, 0, 1], [4, 2, 2, 4, 0, 0]], [{1, 3}, [8, 0, 4, 0, 1, 0], [7, 1, 4, 0, 0, 0]], [{1, 3}, [8, 1, 1, 2, 0, 1], [7, 1, 2, 2, 0, 0]], [{1, 3}, [6, 1, 1, 4, 0, 1], [5, 1, 2, 4, 0, 0]], [{1, 3}, [7, 0, 1, 4, 1, 0], [6, 1, 1, 4, 0, 0]], [{1, 3}, [4, 2, 1, 5, 0, 1], [3, 2, 2, 5, 0, 0]], [{1, 3}, [6, 4, 1, 1, 0, 1], [5, 4, 2, 1, 0, 0]], [{1, 3}, [7, 3, 1, 1, 0, 1], [6, 3, 2, 1, 0, 0]]} For position , [10, 0, 1, 1, 0, 1], and roll, {1, 4}, the best moves are {[9, 1, 1, 1, 0, 0]} For position , [3, 0, 4, 1, 4, 1], and roll, {1, 4}, the best moves are {[2, 1, 4, 1, 4, 0]} For position , [4, 0, 3, 1, 4, 1], and roll, {1, 4}, the best moves are {[3, 1, 3, 1, 4, 0]} For position , [5, 0, 2, 1, 4, 1], and roll, {1, 4}, the best moves are {[4, 1, 2, 1, 4, 0]} For position , [4, 0, 5, 1, 2, 1], and roll, {1, 4}, the best moves are {[3, 1, 5, 1, 2, 0]} For position , [5, 0, 4, 1, 2, 1], and roll, {1, 4}, the best moves are {[4, 1, 4, 1, 2, 0]} For position , [3, 0, 6, 1, 2, 1], and roll, {1, 4}, the best moves are {[2, 1, 6, 1, 2, 0]} For position , [2, 0, 4, 1, 5, 1], and roll, {1, 4}, the best moves are {[1, 1, 4, 1, 5, 0]} For position , [3, 0, 3, 1, 5, 1], and roll, {1, 4}, the best moves are {[2, 1, 3, 1, 5, 0]} For position , [7, 0, 3, 2, 0, 1], and roll, {1, 4}, the best moves are {[6, 1, 3, 2, 0, 0]} For position , [8, 0, 2, 2, 0, 1], and roll, {1, 4}, the best moves are {[7, 1, 2, 2, 0, 0]} For position , [3, 0, 2, 1, 6, 1], and roll, {1, 4}, the best moves are {[2, 1, 2, 1, 6, 0]} For position , [6, 0, 4, 2, 0, 1], and roll, {1, 4}, the best moves are {[5, 1, 4, 2, 0, 0]} For position , [4, 0, 2, 1, 5, 1], and roll, {1, 4}, the best moves are {[3, 1, 2, 1, 5, 0]} For position , [5, 0, 5, 2, 0, 1], and roll, {1, 4}, the best moves are {[4, 1, 5, 2, 0, 0]} For position , [9, 0, 1, 2, 0, 1], and roll, {1, 4}, the best moves are {[8, 1, 1, 2, 0, 0]} For position , [3, 0, 5, 1, 3, 1], and roll, {1, 4}, the best moves are {[2, 1, 5, 1, 3, 0]} For position , [4, 0, 4, 1, 3, 1], and roll, {1, 4}, the best moves are {[3, 1, 4, 1, 3, 0]} For position , [9, 0, 2, 1, 0, 1], and roll, {1, 4}, the best moves are {[8, 1, 2, 1, 0, 0]} For position , [4, 0, 7, 1, 0, 1], and roll, {1, 4}, the best moves are {[3, 1, 7, 1, 0, 0]} For position , [5, 0, 6, 1, 0, 1], and roll, {1, 4}, the best moves are {[4, 1, 6, 1, 0, 0]} For position , [6, 0, 4, 1, 1, 1], and roll, {1, 4}, the best moves are {[5, 1, 4, 1, 1, 0]} For position , [8, 0, 3, 1, 0, 1], and roll, {1, 4}, the best moves are {[7, 1, 3, 1, 0, 0]} For position , [6, 0, 5, 1, 0, 1], and roll, {1, 4}, the best moves are {[5, 1, 5, 1, 0, 0]} For position , [6, 1, 4, 1, 0, 1], and roll, {1, 4}, the best moves are {[5, 2, 4, 1, 0, 0]} For position , [4, 0, 6, 1, 1, 1], and roll, {1, 4}, the best moves are {[3, 1, 6, 1, 1, 0]} For position , [5, 0, 3, 1, 3, 1], and roll, {1, 4}, the best moves are {[4, 1, 3, 1, 3, 0]} For position , [6, 0, 2, 1, 3, 1], and roll, {1, 4}, the best moves are {[5, 1, 2, 1, 3, 0]} For position , [6, 0, 3, 1, 2, 1], and roll, {1, 4}, the best moves are {[5, 1, 3, 1, 2, 0]} For position , [7, 0, 2, 1, 2, 1], and roll, {1, 4}, the best moves are {[6, 1, 2, 1, 2, 0]} For position , [5, 0, 5, 1, 1, 1], and roll, {1, 4}, the best moves are {[4, 1, 5, 1, 1, 0]} For position , [7, 0, 4, 1, 0, 1], and roll, {1, 4}, the best moves are {[6, 1, 4, 1, 0, 0]} For position , [4, 0, 6, 1, 0, 2], and roll, {1, 4}, the best moves are {[3, 1, 6, 1, 0, 1]} For position , [5, 0, 5, 1, 0, 2], and roll, {1, 4}, the best moves are {[4, 1, 5, 1, 0, 1]} When the roll was, {1, 4}, and there were, 13, checkers , the exceptions to greedy play were {[{1, 4}, [9, 0, 2, 1, 0, 1], [8, 1, 2, 1, 0, 0]], [{1, 4}, [8, 0, 3, 1, 0, 1], [7, 1, 3, 1, 0, 0]], [{1, 4}, [6, 1, 4, 1, 0, 1], [5, 2, 4, 1, 0, 0]], [{1, 4}, [6, 0, 2, 1, 3, 1], [5, 1, 2, 1, 3, 0]], [{1, 4}, [4, 0, 6, 1, 0, 2], [3, 1, 6, 1, 0, 1]], [{1, 4}, [4, 0, 4, 1, 3, 1], [3, 1, 4, 1, 3, 0]], [{1, 4}, [5, 0, 2, 1, 4, 1], [4, 1, 2, 1, 4, 0]], [{1, 4}, [4, 0, 7, 1, 0, 1], [3, 1, 7, 1, 0, 0]], [{1, 4}, [5, 0, 6, 1, 0, 1], [4, 1, 6, 1, 0, 0]], [{1, 4}, [4, 0, 5, 1, 2, 1], [3, 1, 5, 1, 2, 0]], [{1, 4}, [6, 0, 4, 1, 1, 1], [5, 1, 4, 1, 1, 0]], [{1, 4}, [6, 0, 5, 1, 0, 1], [5, 1, 5, 1, 0, 0]], [{1, 4}, [5, 0, 4, 1, 2, 1], [4, 1, 4, 1, 2, 0]], [{1, 4}, [4, 0, 6, 1, 1, 1], [3, 1, 6, 1, 1, 0]], [{1, 4}, [5, 0, 3, 1, 3, 1], [4, 1, 3, 1, 3, 0]], [{1, 4}, [3, 0, 3, 1, 5, 1], [2, 1, 3, 1, 5, 0]], [{1, 4}, [7, 0, 3, 2, 0, 1], [6, 1, 3, 2, 0, 0]], [{1, 4}, [4, 0, 3, 1, 4, 1], [3, 1, 3, 1, 4, 0]], [{1, 4}, [6, 0, 4, 2, 0, 1], [5, 1, 4, 2, 0, 0]], [{1, 4}, [6, 0, 3, 1, 2, 1], [5, 1, 3, 1, 2, 0]], [{1, 4}, [4, 0, 2, 1, 5, 1], [3, 1, 2, 1, 5, 0]], [{1, 4}, [7, 0, 2, 1, 2, 1], [6, 1, 2, 1, 2, 0]], [{1, 4}, [5, 0, 5, 2, 0, 1], [4, 1, 5, 2, 0, 0]], [{1, 4}, [3, 0, 5, 1, 3, 1], [2, 1, 5, 1, 3, 0]], [{1, 4}, [7, 0, 4, 1, 0, 1], [6, 1, 4, 1, 0, 0]], [{1, 4}, [5, 0, 5, 1, 1, 1], [4, 1, 5, 1, 1, 0]], [{1, 4}, [5, 0, 5, 1, 0, 2], [4, 1, 5, 1, 0, 1]], [{1, 4}, [2, 0, 4, 1, 5, 1], [1, 1, 4, 1, 5, 0]], [{1, 4}, [9, 0, 1, 2, 0, 1], [8, 1, 1, 2, 0, 0]], [{1, 4}, [8, 0, 2, 2, 0, 1], [7, 1, 2, 2, 0, 0]], [{1, 4}, [3, 0, 2, 1, 6, 1], [2, 1, 2, 1, 6, 0]], [{1, 4}, [3, 0, 6, 1, 2, 1], [2, 1, 6, 1, 2, 0]], [{1, 4}, [3, 0, 4, 1, 4, 1], [2, 1, 4, 1, 4, 0]], [{1, 4}, [10, 0, 1, 1, 0, 1], [9, 1, 1, 1, 0, 0]]} For position , [2, 1, 9, 1, 0, 0], and roll, {2, 3}, the best moves are {[2, 2, 8, 0, 0, 0]} For position , [5, 1, 1, 5, 1, 0], and roll, {2, 3}, the best moves are {[5, 1, 1, 5, 0, 0]} For position , [7, 1, 4, 1, 0, 0], and roll, {2, 3}, the best moves are {[7, 2, 3, 0, 0, 0]} For position , [8, 1, 3, 1, 0, 0], and roll, {2, 3}, the best moves are {[8, 2, 2, 0, 0, 0]} For position , [3, 1, 8, 1, 0, 0], and roll, {2, 3}, the best moves are {[3, 2, 7, 0, 0, 0]} For position , [4, 1, 7, 1, 0, 0], and roll, {2, 3}, the best moves are {[4, 2, 6, 0, 0, 0]} For position , [2, 1, 8, 2, 0, 0], and roll, {2, 3}, the best moves are {[2, 2, 7, 1, 0, 0]} For position , [6, 1, 5, 1, 0, 0], and roll, {2, 3}, the best moves are {[6, 2, 4, 0, 0, 0]} For position , [8, 1, 3, 0, 1, 0], and roll, {2, 3}, the best moves are {[8, 1, 3, 0, 0, 0]} For position , [3, 1, 7, 2, 0, 0], and roll, {2, 3}, the best moves are {[3, 2, 6, 1, 0, 0]} For position , [4, 1, 6, 2, 0, 0], and roll, {2, 3}, the best moves are {[4, 2, 5, 1, 0, 0]} For position , [5, 1, 6, 1, 0, 0], and roll, {2, 3}, the best moves are {[5, 2, 5, 0, 0, 0]} For position , [7, 1, 3, 2, 0, 0], and roll, {2, 3}, the best moves are {[7, 2, 2, 1, 0, 0]} For position , [5, 1, 5, 2, 0, 0], and roll, {2, 3}, the best moves are {[5, 2, 4, 1, 0, 0]} For position , [3, 1, 6, 3, 0, 0], and roll, {2, 3}, the best moves are {[3, 2, 5, 2, 0, 0]} For position , [9, 1, 2, 0, 1, 0], and roll, {2, 3}, the best moves are {[9, 1, 2, 0, 0, 0]} For position , [3, 1, 1, 7, 1, 0], and roll, {2, 3}, the best moves are {[3, 1, 1, 7, 0, 0]} For position , [2, 1, 1, 8, 1, 0], and roll, {2, 3}, the best moves are {[2, 1, 1, 8, 0, 0]} For position , [7, 1, 1, 3, 1, 0], and roll, {2, 3}, the best moves are {[7, 1, 1, 3, 0, 0]} For position , [7, 1, 4, 0, 1, 0], and roll, {2, 3}, the best moves are {[7, 1, 4, 0, 0, 0]} For position , [6, 1, 5, 0, 1, 0], and roll, {2, 3}, the best moves are {[6, 1, 5, 0, 0, 0]} For position , [5, 1, 6, 0, 1, 0], and roll, {2, 3}, the best moves are {[5, 1, 6, 0, 0, 0]} For position , [6, 1, 1, 4, 1, 0], and roll, {2, 3}, the best moves are {[6, 1, 1, 4, 0, 0]} For position , [4, 1, 1, 6, 1, 0], and roll, {2, 3}, the best moves are {[4, 1, 1, 6, 0, 0]} For position , [3, 7, 1, 1, 0, 1], and roll, {2, 3}, the best moves are {[3, 6, 2, 1, 0, 0]} For position , [4, 6, 1, 1, 0, 1], and roll, {2, 3}, the best moves are {[4, 5, 2, 1, 0, 0]} For position , [5, 5, 1, 1, 0, 1], and roll, {2, 3}, the best moves are {[5, 4, 2, 1, 0, 0]} For position , [6, 4, 1, 1, 0, 1], and roll, {2, 3}, the best moves are {[6, 3, 2, 1, 0, 0]} For position , [7, 3, 1, 1, 0, 1], and roll, {2, 3}, the best moves are {[7, 2, 2, 1, 0, 0]} For position , [3, 3, 1, 5, 0, 1], and roll, {2, 3}, the best moves are {[3, 2, 2, 5, 0, 0]} For position , [3, 1, 4, 0, 4, 1], and roll, {2, 3}, the best moves are {[3, 1, 3, 1, 4, 0]} For position , [2, 4, 1, 5, 0, 1], and roll, {2, 3}, the best moves are {[2, 3, 2, 5, 0, 0]} For position , [2, 3, 1, 6, 0, 1], and roll, {2, 3}, the best moves are {[2, 2, 2, 6, 0, 0]} For position , [3, 2, 1, 6, 0, 1], and roll, {2, 3}, the best moves are {[3, 1, 2, 6, 0, 0]} For position , [4, 1, 1, 6, 0, 1], and roll, {2, 3}, the best moves are {[4, 0, 2, 6, 0, 0]} For position , [4, 1, 3, 0, 4, 1], and roll, {2, 3}, the best moves are {[4, 1, 2, 1, 4, 0]} For position , [2, 1, 5, 0, 4, 1], and roll, {2, 3}, the best moves are {[2, 1, 4, 1, 4, 0]} For position , [2, 2, 1, 7, 0, 1], and roll, {2, 3}, the best moves are {[2, 1, 2, 7, 0, 0]} For position , [3, 1, 1, 7, 0, 1], and roll, {2, 3}, the best moves are {[3, 0, 2, 7, 0, 0]} For position , [5, 1, 3, 0, 3, 1], and roll, {2, 3}, the best moves are {[5, 1, 2, 1, 3, 0]} For position , [3, 6, 1, 2, 0, 1], and roll, {2, 3}, the best moves are {[3, 5, 2, 2, 0, 0]} For position , [9, 1, 2, 0, 0, 1], and roll, {2, 3}, the best moves are {[9, 1, 1, 1, 0, 0]} For position , [2, 1, 3, 0, 6, 1], and roll, {2, 3}, the best moves are {[2, 1, 2, 1, 6, 0]} For position , [1, 1, 5, 0, 5, 1], and roll, {2, 3}, the best moves are {[1, 1, 4, 1, 5, 0]} For position , [2, 1, 4, 0, 5, 1], and roll, {2, 3}, the best moves are {[2, 1, 3, 1, 5, 0]} For position , [3, 1, 3, 0, 5, 1], and roll, {2, 3}, the best moves are {[3, 1, 2, 1, 5, 0]} For position , [4, 5, 1, 2, 0, 1], and roll, {2, 3}, the best moves are {[4, 4, 2, 2, 0, 0]} For position , [8, 1, 3, 0, 0, 1], and roll, {2, 3}, the best moves are {[8, 1, 2, 1, 0, 0]} For position , [5, 4, 1, 2, 0, 1], and roll, {2, 3}, the best moves are {[5, 3, 2, 2, 0, 0]} For position , [6, 3, 1, 2, 0, 1], and roll, {2, 3}, the best moves are {[6, 2, 2, 2, 0, 0]} For position , [7, 2, 1, 2, 0, 1], and roll, {2, 3}, the best moves are {[7, 1, 2, 2, 0, 0]} For position , [2, 1, 6, 0, 3, 1], and roll, {2, 3}, the best moves are {[2, 1, 5, 1, 3, 0]} For position , [3, 1, 5, 0, 3, 1], and roll, {2, 3}, the best moves are {[3, 1, 4, 1, 3, 0]} For position , [4, 1, 4, 0, 3, 1], and roll, {2, 3}, the best moves are {[4, 1, 3, 1, 3, 0]} For position , [5, 3, 1, 3, 0, 1], and roll, {2, 3}, the best moves are {[5, 2, 2, 3, 0, 0]} For position , [6, 2, 1, 3, 0, 1], and roll, {2, 3}, the best moves are {[6, 1, 2, 3, 0, 0]} For position , [2, 6, 1, 3, 0, 1], and roll, {2, 3}, the best moves are {[2, 5, 2, 3, 0, 0]} For position , [3, 5, 1, 3, 0, 1], and roll, {2, 3}, the best moves are {[3, 4, 2, 3, 0, 0]} For position , [4, 4, 1, 3, 0, 1], and roll, {2, 3}, the best moves are {[4, 3, 2, 3, 0, 0]} For position , [2, 1, 7, 0, 2, 1], and roll, {2, 3}, the best moves are {[2, 1, 6, 1, 2, 0]} For position , [2, 1, 1, 8, 0, 1], and roll, {2, 3}, the best moves are {[2, 0, 2, 8, 0, 0]} For position , [5, 2, 5, 0, 0, 1], and roll, {2, 3}, the best moves are {[5, 2, 4, 1, 0, 0]} For position , [4, 1, 5, 0, 2, 1], and roll, {2, 3}, the best moves are {[4, 1, 4, 1, 2, 0]} For position , [5, 1, 4, 0, 2, 1], and roll, {2, 3}, the best moves are {[5, 1, 3, 1, 2, 0]} For position , [4, 1, 6, 0, 1, 1], and roll, {2, 3}, the best moves are {[4, 1, 5, 1, 1, 0]} For position , [5, 1, 5, 0, 1, 1], and roll, {2, 3}, the best moves are {[5, 1, 4, 1, 1, 0]} For position , [6, 1, 3, 0, 2, 1], and roll, {2, 3}, the best moves are {[6, 1, 2, 1, 2, 0]} For position , [6, 1, 5, 0, 0, 1], and roll, {2, 3}, the best moves are {[6, 1, 4, 1, 0, 0]} For position , [7, 1, 4, 0, 0, 1], and roll, {2, 3}, the best moves are {[7, 1, 3, 1, 0, 0]} For position , [3, 1, 6, 0, 2, 1], and roll, {2, 3}, the best moves are {[3, 1, 5, 1, 2, 0]} For position , [3, 1, 7, 0, 1, 1], and roll, {2, 3}, the best moves are {[3, 1, 6, 1, 1, 0]} For position , [8, 1, 2, 1, 0, 1], and roll, {2, 3}, the best moves are {[8, 1, 1, 2, 0, 0]} For position , [2, 5, 1, 4, 0, 1], and roll, {2, 3}, the best moves are {[2, 4, 2, 4, 0, 0]} For position , [3, 4, 1, 4, 0, 1], and roll, {2, 3}, the best moves are {[3, 3, 2, 4, 0, 0]} For position , [4, 3, 1, 4, 0, 1], and roll, {2, 3}, the best moves are {[4, 2, 2, 4, 0, 0]} For position , [5, 2, 1, 4, 0, 1], and roll, {2, 3}, the best moves are {[5, 1, 2, 4, 0, 0]} For position , [5, 1, 6, 0, 0, 1], and roll, {2, 3}, the best moves are {[5, 1, 5, 1, 0, 0]} For position , [4, 1, 6, 1, 0, 1], and roll, {2, 3}, the best moves are {[4, 1, 5, 2, 0, 0]} For position , [5, 1, 5, 1, 0, 1], and roll, {2, 3}, the best moves are {[5, 1, 4, 2, 0, 0]} For position , [6, 1, 4, 1, 0, 1], and roll, {2, 3}, the best moves are {[6, 1, 3, 2, 0, 0]} For position , [4, 1, 7, 0, 0, 1], and roll, {2, 3}, the best moves are {[4, 1, 6, 1, 0, 0]} For position , [4, 2, 1, 5, 0, 1], and roll, {2, 3}, the best moves are {[4, 1, 2, 5, 0, 0]} For position , [3, 1, 8, 0, 0, 1], and roll, {2, 3}, the best moves are {[3, 1, 7, 1, 0, 0]} For position , [7, 1, 3, 1, 0, 1], and roll, {2, 3}, the best moves are {[7, 1, 2, 2, 0, 0]} For position , [2, 2, 1, 6, 0, 2], and roll, {2, 3}, the best moves are {[2, 1, 2, 6, 0, 1]} For position , [3, 1, 1, 6, 0, 2], and roll, {2, 3}, the best moves are {[3, 0, 2, 6, 0, 1]} For position , [3, 1, 7, 0, 0, 2], and roll, {2, 3}, the best moves are {[3, 1, 6, 1, 0, 1]} For position , [4, 1, 6, 0, 0, 2], and roll, {2, 3}, the best moves are {[4, 1, 5, 1, 0, 1]} For position , [2, 1, 1, 7, 0, 2], and roll, {2, 3}, the best moves are {[2, 0, 2, 7, 0, 1]} When the roll was, {2, 3}, and there were, 13, checkers , the exceptions to greedy play were {[{2, 3}, [2, 1, 9, 1, 0, 0], [2, 2, 8, 0, 0, 0]], [{2, 3}, [5, 5, 1, 1, 0, 1], [5, 4, 2, 1, 0, 0]], [{2, 3}, [8, 1, 3, 1, 0, 0], [8, 2, 2, 0, 0, 0]], [{2, 3}, [7, 1, 4, 1, 0, 0], [7, 2, 3, 0, 0, 0]], [{2, 3}, [8, 1, 3, 0, 1, 0], [8, 1, 3, 0, 0, 0]], [{2, 3}, [6, 1, 5, 1, 0, 0], [6, 2, 4, 0, 0, 0]], [{2, 3}, [7, 1, 3, 2, 0, 0], [7, 2, 2, 1, 0, 0]], [{2, 3}, [9, 1, 2, 0, 1, 0], [9, 1, 2, 0, 0, 0]], [{2, 3}, [6, 1, 5, 0, 1, 0], [6, 1, 5, 0, 0, 0]], [{2, 3}, [7, 1, 4, 0, 1, 0], [7, 1, 4, 0, 0, 0]], [{2, 3}, [7, 1, 1, 3, 1, 0], [7, 1, 1, 3, 0, 0]], [{2, 3}, [4, 3, 1, 4, 0, 1], [4, 2, 2, 4, 0, 0]], [{2, 3}, [6, 4, 1, 1, 0, 1], [6, 3, 2, 1, 0, 0]], [{2, 3}, [3, 3, 1, 5, 0, 1], [3, 2, 2, 5, 0, 0]], [{2, 3}, [7, 3, 1, 1, 0, 1], [7, 2, 2, 1, 0, 0]], [{2, 3}, [2, 4, 1, 5, 0, 1], [2, 3, 2, 5, 0, 0]], [{2, 3}, [9, 1, 2, 0, 0, 1], [9, 1, 1, 1, 0, 0]], [{2, 3}, [2, 1, 3, 0, 6, 1], [2, 1, 2, 1, 6, 0]], [{2, 3}, [5, 1, 1, 5, 1, 0], [5, 1, 1, 5, 0, 0]], [{2, 3}, [1, 1, 5, 0, 5, 1], [1, 1, 4, 1, 5, 0]], [{2, 3}, [3, 1, 8, 1, 0, 0], [3, 2, 7, 0, 0, 0]], [{2, 3}, [8, 1, 3, 0, 0, 1], [8, 1, 2, 1, 0, 0]], [{2, 3}, [2, 1, 8, 2, 0, 0], [2, 2, 7, 1, 0, 0]], [{2, 3}, [4, 1, 7, 1, 0, 0], [4, 2, 6, 0, 0, 0]], [{2, 3}, [3, 1, 7, 2, 0, 0], [3, 2, 6, 1, 0, 0]], [{2, 3}, [2, 1, 6, 0, 3, 1], [2, 1, 5, 1, 3, 0]], [{2, 3}, [7, 2, 1, 2, 0, 1], [7, 1, 2, 2, 0, 0]], [{2, 3}, [6, 3, 1, 2, 0, 1], [6, 2, 2, 2, 0, 0]], [{2, 3}, [5, 2, 1, 4, 0, 1], [5, 1, 2, 4, 0, 0]], [{2, 3}, [4, 1, 6, 2, 0, 0], [4, 2, 5, 1, 0, 0]], [{2, 3}, [5, 1, 5, 2, 0, 0], [5, 2, 4, 1, 0, 0]], [{2, 3}, [5, 1, 6, 1, 0, 0], [5, 2, 5, 0, 0, 0]], [{2, 3}, [3, 1, 1, 7, 1, 0], [3, 1, 1, 7, 0, 0]], [{2, 3}, [5, 2, 5, 0, 0, 1], [5, 2, 4, 1, 0, 0]], [{2, 3}, [3, 1, 6, 3, 0, 0], [3, 2, 5, 2, 0, 0]], [{2, 3}, [5, 1, 6, 0, 0, 1], [5, 1, 5, 1, 0, 0]], [{2, 3}, [7, 1, 4, 0, 0, 1], [7, 1, 3, 1, 0, 0]], [{2, 3}, [6, 1, 5, 0, 0, 1], [6, 1, 4, 1, 0, 0]], [{2, 3}, [2, 1, 1, 8, 1, 0], [2, 1, 1, 8, 0, 0]], [{2, 3}, [8, 1, 2, 1, 0, 1], [8, 1, 1, 2, 0, 0]], [{2, 3}, [5, 1, 6, 0, 1, 0], [5, 1, 6, 0, 0, 0]], [{2, 3}, [6, 1, 1, 4, 1, 0], [6, 1, 1, 4, 0, 0]], [{2, 3}, [7, 1, 3, 1, 0, 1], [7, 1, 2, 2, 0, 0]], [{2, 3}, [3, 5, 1, 3, 0, 1], [3, 4, 2, 3, 0, 0]], [{2, 3}, [3, 1, 7, 0, 0, 2], [3, 1, 6, 1, 0, 1]], [{2, 3}, [4, 1, 1, 6, 1, 0], [4, 1, 1, 6, 0, 0]], [{2, 3}, [4, 5, 1, 2, 0, 1], [4, 4, 2, 2, 0, 0]], [{2, 3}, [4, 1, 6, 1, 0, 1], [4, 1, 5, 2, 0, 0]], [{2, 3}, [2, 2, 1, 6, 0, 2], [2, 1, 2, 6, 0, 1]], [{2, 3}, [3, 7, 1, 1, 0, 1], [3, 6, 2, 1, 0, 0]], [{2, 3}, [4, 6, 1, 1, 0, 1], [4, 5, 2, 1, 0, 0]], [{2, 3}, [4, 4, 1, 3, 0, 1], [4, 3, 2, 3, 0, 0]], [{2, 3}, [3, 1, 4, 0, 4, 1], [3, 1, 3, 1, 4, 0]], [{2, 3}, [2, 1, 1, 7, 0, 2], [2, 0, 2, 7, 0, 1]], [{2, 3}, [2, 3, 1, 6, 0, 1], [2, 2, 2, 6, 0, 0]], [{2, 3}, [2, 1, 7, 0, 2, 1], [2, 1, 6, 1, 2, 0]], [{2, 3}, [3, 1, 6, 0, 2, 1], [3, 1, 5, 1, 2, 0]], [{2, 3}, [5, 1, 5, 1, 0, 1], [5, 1, 4, 2, 0, 0]], [{2, 3}, [3, 2, 1, 6, 0, 1], [3, 1, 2, 6, 0, 0]], [{2, 3}, [4, 1, 1, 6, 0, 1], [4, 0, 2, 6, 0, 0]], [{2, 3}, [2, 1, 1, 8, 0, 1], [2, 0, 2, 8, 0, 0]], [{2, 3}, [2, 1, 5, 0, 4, 1], [2, 1, 4, 1, 4, 0]], [{2, 3}, [2, 2, 1, 7, 0, 1], [2, 1, 2, 7, 0, 0]], [{2, 3}, [4, 1, 6, 0, 0, 2], [4, 1, 5, 1, 0, 1]], [{2, 3}, [6, 1, 4, 1, 0, 1], [6, 1, 3, 2, 0, 0]], [{2, 3}, [3, 1, 1, 7, 0, 1], [3, 0, 2, 7, 0, 0]], [{2, 3}, [3, 6, 1, 2, 0, 1], [3, 5, 2, 2, 0, 0]], [{2, 3}, [5, 1, 3, 0, 3, 1], [5, 1, 2, 1, 3, 0]], [{2, 3}, [4, 1, 5, 0, 2, 1], [4, 1, 4, 1, 2, 0]], [{2, 3}, [4, 1, 7, 0, 0, 1], [4, 1, 6, 1, 0, 0]], [{2, 3}, [3, 4, 1, 4, 0, 1], [3, 3, 2, 4, 0, 0]], [{2, 3}, [2, 1, 4, 0, 5, 1], [2, 1, 3, 1, 5, 0]], [{2, 3}, [3, 1, 3, 0, 5, 1], [3, 1, 2, 1, 5, 0]], [{2, 3}, [5, 1, 4, 0, 2, 1], [5, 1, 3, 1, 2, 0]], [{2, 3}, [5, 4, 1, 2, 0, 1], [5, 3, 2, 2, 0, 0]], [{2, 3}, [4, 2, 1, 5, 0, 1], [4, 1, 2, 5, 0, 0]], [{2, 3}, [4, 1, 3, 0, 4, 1], [4, 1, 2, 1, 4, 0]], [{2, 3}, [3, 1, 1, 6, 0, 2], [3, 0, 2, 6, 0, 1]], [{2, 3}, [4, 1, 6, 0, 1, 1], [4, 1, 5, 1, 1, 0]], [{2, 3}, [3, 1, 5, 0, 3, 1], [3, 1, 4, 1, 3, 0]], [{2, 3}, [3, 1, 8, 0, 0, 1], [3, 1, 7, 1, 0, 0]], [{2, 3}, [4, 1, 4, 0, 3, 1], [4, 1, 3, 1, 3, 0]], [{2, 3}, [5, 1, 5, 0, 1, 1], [5, 1, 4, 1, 1, 0]], [{2, 3}, [5, 3, 1, 3, 0, 1], [5, 2, 2, 3, 0, 0]], [{2, 3}, [2, 5, 1, 4, 0, 1], [2, 4, 2, 4, 0, 0]], [{2, 3}, [6, 2, 1, 3, 0, 1], [6, 1, 2, 3, 0, 0]], [{2, 3}, [6, 1, 3, 0, 2, 1], [6, 1, 2, 1, 2, 0]], [{2, 3}, [3, 1, 7, 0, 1, 1], [3, 1, 6, 1, 1, 0]], [{2, 3}, [2, 6, 1, 3, 0, 1], [2, 5, 2, 3, 0, 0]]} For position , [6, 1, 0, 5, 1, 0], and roll, {2, 4}, the best moves are {[6, 1, 1, 4, 0, 0]} For position , [3, 1, 5, 4, 0, 0], and roll, {2, 4}, the best moves are {[3, 2, 5, 2, 0, 0]} For position , [4, 1, 5, 3, 0, 0], and roll, {2, 4}, the best moves are {[4, 2, 5, 1, 0, 0]} For position , [2, 1, 7, 3, 0, 0], and roll, {2, 4}, the best moves are {[2, 2, 7, 1, 0, 0]} For position , [2, 1, 8, 2, 0, 0], and roll, {2, 4}, the best moves are {[2, 2, 8, 0, 0, 0]} For position , [7, 1, 3, 1, 1, 0], and roll, {2, 4}, the best moves are {[7, 1, 4, 0, 0, 0]} For position , [6, 1, 4, 1, 1, 0], and roll, {2, 4}, the best moves are {[6, 1, 5, 0, 0, 0]} For position , [3, 1, 7, 2, 0, 0], and roll, {2, 4}, the best moves are {[3, 2, 7, 0, 0, 0]} For position , [4, 1, 6, 2, 0, 0], and roll, {2, 4}, the best moves are {[4, 2, 6, 0, 0, 0]} For position , [8, 1, 2, 2, 0, 0], and roll, {2, 4}, the best moves are {[8, 2, 2, 0, 0, 0]} For position , [7, 1, 3, 2, 0, 0], and roll, {2, 4}, the best moves are {[7, 2, 3, 0, 0, 0]} For position , [5, 1, 5, 2, 0, 0], and roll, {2, 4}, the best moves are {[5, 2, 5, 0, 0, 0]} For position , [6, 1, 4, 2, 0, 0], and roll, {2, 4}, the best moves are {[6, 2, 4, 0, 0, 0]} For position , [3, 1, 6, 3, 0, 0], and roll, {2, 4}, the best moves are {[3, 2, 6, 1, 0, 0]} For position , [7, 1, 2, 3, 0, 0], and roll, {2, 4}, the best moves are {[7, 2, 2, 1, 0, 0]} For position , [5, 1, 4, 3, 0, 0], and roll, {2, 4}, the best moves are {[5, 2, 4, 1, 0, 0]} For position , [4, 1, 0, 7, 1, 0], and roll, {2, 4}, the best moves are {[4, 1, 1, 6, 0, 0]} For position , [5, 1, 5, 1, 1, 0], and roll, {2, 4}, the best moves are {[5, 1, 6, 0, 0, 0]} For position , [9, 1, 1, 1, 1, 0], and roll, {2, 4}, the best moves are {[9, 1, 2, 0, 0, 0]} For position , [3, 1, 0, 8, 1, 0], and roll, {2, 4}, the best moves are {[3, 1, 1, 7, 0, 0]} For position , [2, 1, 0, 9, 1, 0], and roll, {2, 4}, the best moves are {[2, 1, 1, 8, 0, 0]} For position , [7, 1, 0, 4, 1, 0], and roll, {2, 4}, the best moves are {[7, 1, 1, 3, 0, 0]} For position , [8, 1, 2, 1, 1, 0], and roll, {2, 4}, the best moves are {[8, 1, 3, 0, 0, 0]} For position , [5, 1, 0, 6, 1, 0], and roll, {2, 4}, the best moves are {[5, 1, 1, 5, 0, 0]} For position , [5, 1, 3, 1, 2, 1], and roll, {2, 4}, the best moves are {[5, 1, 3, 1, 2, 0]} For position , [9, 1, 1, 1, 0, 1], and roll, {2, 4}, the best moves are {[9, 1, 1, 1, 0, 0]} For position , [2, 1, 4, 1, 4, 1], and roll, {2, 4}, the best moves are {[2, 1, 4, 1, 4, 0]} For position , [3, 1, 3, 1, 4, 1], and roll, {2, 4}, the best moves are {[3, 1, 3, 1, 4, 0]} For position , [4, 1, 2, 1, 4, 1], and roll, {2, 4}, the best moves are {[4, 1, 2, 1, 4, 0]} For position , [4, 1, 4, 1, 2, 1], and roll, {2, 4}, the best moves are {[4, 1, 4, 1, 2, 0]} For position , [2, 1, 6, 1, 2, 1], and roll, {2, 4}, the best moves are {[2, 1, 6, 1, 2, 0]} For position , [3, 1, 5, 1, 2, 1], and roll, {2, 4}, the best moves are {[3, 1, 5, 1, 2, 0]} For position , [1, 1, 4, 1, 5, 1], and roll, {2, 4}, the best moves are {[1, 1, 4, 1, 5, 0]} For position , [2, 1, 3, 1, 5, 1], and roll, {2, 4}, the best moves are {[2, 1, 3, 1, 5, 0]} For position , [6, 1, 3, 2, 0, 1], and roll, {2, 4}, the best moves are {[6, 1, 3, 2, 0, 0]} For position , [7, 1, 2, 2, 0, 1], and roll, {2, 4}, the best moves are {[7, 1, 2, 2, 0, 0]} For position , [2, 1, 2, 1, 6, 1], and roll, {2, 4}, the best moves are {[2, 1, 2, 1, 6, 0]} For position , [5, 1, 4, 2, 0, 1], and roll, {2, 4}, the best moves are {[5, 1, 4, 2, 0, 0]} For position , [3, 1, 2, 1, 5, 1], and roll, {2, 4}, the best moves are {[3, 1, 2, 1, 5, 0]} For position , [4, 1, 5, 2, 0, 1], and roll, {2, 4}, the best moves are {[4, 1, 5, 2, 0, 0]} For position , [8, 1, 1, 2, 0, 1], and roll, {2, 4}, the best moves are {[8, 1, 1, 2, 0, 0]} For position , [2, 1, 5, 1, 3, 1], and roll, {2, 4}, the best moves are {[2, 1, 5, 1, 3, 0]} For position , [3, 1, 4, 1, 3, 1], and roll, {2, 4}, the best moves are {[3, 1, 4, 1, 3, 0]} For position , [8, 1, 2, 1, 0, 1], and roll, {2, 4}, the best moves are {[8, 1, 2, 1, 0, 0]} For position , [3, 1, 7, 1, 0, 1], and roll, {2, 4}, the best moves are {[3, 1, 7, 1, 0, 0]} For position , [4, 1, 6, 1, 0, 1], and roll, {2, 4}, the best moves are {[4, 1, 6, 1, 0, 0]} For position , [5, 1, 4, 1, 1, 1], and roll, {2, 4}, the best moves are {[5, 1, 4, 1, 1, 0]} For position , [5, 1, 5, 1, 0, 1], and roll, {2, 4}, the best moves are {[5, 1, 5, 1, 0, 0]} For position , [6, 1, 4, 1, 0, 1], and roll, {2, 4}, the best moves are {[6, 1, 4, 1, 0, 0]} For position , [5, 2, 4, 1, 0, 1], and roll, {2, 4}, the best moves are {[5, 2, 4, 1, 0, 0]} For position , [4, 1, 3, 1, 3, 1], and roll, {2, 4}, the best moves are {[4, 1, 3, 1, 3, 0]} For position , [3, 1, 6, 1, 1, 1], and roll, {2, 4}, the best moves are {[3, 1, 6, 1, 1, 0]} For position , [5, 1, 2, 1, 3, 1], and roll, {2, 4}, the best moves are {[5, 1, 2, 1, 3, 0]} For position , [6, 1, 2, 1, 2, 1], and roll, {2, 4}, the best moves are {[6, 1, 2, 1, 2, 0]} For position , [4, 1, 5, 1, 1, 1], and roll, {2, 4}, the best moves are {[4, 1, 5, 1, 1, 0]} For position , [7, 1, 3, 1, 0, 1], and roll, {2, 4}, the best moves are {[7, 1, 3, 1, 0, 0]} For position , [3, 1, 6, 1, 0, 2], and roll, {2, 4}, the best moves are {[3, 1, 6, 1, 0, 1]} For position , [4, 1, 5, 1, 0, 2], and roll, {2, 4}, the best moves are {[4, 1, 5, 1, 0, 1]} When the roll was, {2, 4}, and there were, 13, checkers , the exceptions to greedy play were {[{2, 4}, [8, 1, 2, 2, 0, 0], [8, 2, 2, 0, 0, 0]], [{2, 4}, [7, 1, 3, 2, 0, 0], [7, 2, 3, 0, 0, 0]], [{2, 4}, [3, 1, 6, 1, 0, 2], [3, 1, 6, 1, 0, 1]], [{2, 4}, [3, 1, 6, 3, 0, 0], [3, 2, 6, 1, 0, 0]], [{2, 4}, [5, 1, 5, 2, 0, 0], [5, 2, 5, 0, 0, 0]], [{2, 4}, [4, 1, 0, 7, 1, 0], [4, 1, 1, 6, 0, 0]], [{2, 4}, [3, 1, 0, 8, 1, 0], [3, 1, 1, 7, 0, 0]], [{2, 4}, [5, 1, 5, 1, 1, 0], [5, 1, 6, 0, 0, 0]], [{2, 4}, [5, 1, 0, 6, 1, 0], [5, 1, 1, 5, 0, 0]], [{2, 4}, [2, 1, 0, 9, 1, 0], [2, 1, 1, 8, 0, 0]], [{2, 4}, [4, 1, 6, 2, 0, 0], [4, 2, 6, 0, 0, 0]], [{2, 4}, [5, 1, 3, 1, 2, 1], [5, 1, 3, 1, 2, 0]], [{2, 4}, [6, 1, 4, 2, 0, 0], [6, 2, 4, 0, 0, 0]], [{2, 4}, [2, 1, 4, 1, 4, 1], [2, 1, 4, 1, 4, 0]], [{2, 4}, [3, 1, 3, 1, 4, 1], [3, 1, 3, 1, 4, 0]], [{2, 4}, [7, 1, 3, 1, 1, 0], [7, 1, 4, 0, 0, 0]], [{2, 4}, [8, 1, 2, 1, 0, 1], [8, 1, 2, 1, 0, 0]], [{2, 4}, [4, 1, 2, 1, 4, 1], [4, 1, 2, 1, 4, 0]], [{2, 4}, [7, 1, 2, 3, 0, 0], [7, 2, 2, 1, 0, 0]], [{2, 4}, [4, 1, 4, 1, 2, 1], [4, 1, 4, 1, 2, 0]], [{2, 4}, [5, 1, 4, 3, 0, 0], [5, 2, 4, 1, 0, 0]], [{2, 4}, [2, 1, 7, 3, 0, 0], [2, 2, 7, 1, 0, 0]], [{2, 4}, [2, 1, 2, 1, 6, 1], [2, 1, 2, 1, 6, 0]], [{2, 4}, [3, 1, 5, 4, 0, 0], [3, 2, 5, 2, 0, 0]], [{2, 4}, [3, 1, 5, 1, 2, 1], [3, 1, 5, 1, 2, 0]], [{2, 4}, [1, 1, 4, 1, 5, 1], [1, 1, 4, 1, 5, 0]], [{2, 4}, [2, 1, 3, 1, 5, 1], [2, 1, 3, 1, 5, 0]], [{2, 4}, [5, 1, 4, 2, 0, 1], [5, 1, 4, 2, 0, 0]], [{2, 4}, [6, 1, 4, 1, 1, 0], [6, 1, 5, 0, 0, 0]], [{2, 4}, [3, 1, 2, 1, 5, 1], [3, 1, 2, 1, 5, 0]], [{2, 4}, [6, 1, 0, 5, 1, 0], [6, 1, 1, 4, 0, 0]], [{2, 4}, [4, 1, 5, 2, 0, 1], [4, 1, 5, 2, 0, 0]], [{2, 4}, [4, 1, 5, 3, 0, 0], [4, 2, 5, 1, 0, 0]], [{2, 4}, [9, 1, 1, 1, 0, 1], [9, 1, 1, 1, 0, 0]], [{2, 4}, [9, 1, 1, 1, 1, 0], [9, 1, 2, 0, 0, 0]], [{2, 4}, [3, 1, 4, 1, 3, 1], [3, 1, 4, 1, 3, 0]], [{2, 4}, [3, 1, 7, 1, 0, 1], [3, 1, 7, 1, 0, 0]], [{2, 4}, [4, 1, 6, 1, 0, 1], [4, 1, 6, 1, 0, 0]], [{2, 4}, [5, 1, 4, 1, 1, 1], [5, 1, 4, 1, 1, 0]], [{2, 4}, [5, 1, 5, 1, 0, 1], [5, 1, 5, 1, 0, 0]], [{2, 4}, [4, 1, 3, 1, 3, 1], [4, 1, 3, 1, 3, 0]], [{2, 4}, [3, 1, 6, 1, 1, 1], [3, 1, 6, 1, 1, 0]], [{2, 4}, [3, 1, 7, 2, 0, 0], [3, 2, 7, 0, 0, 0]], [{2, 4}, [5, 1, 2, 1, 3, 1], [5, 1, 2, 1, 3, 0]], [{2, 4}, [6, 1, 4, 1, 0, 1], [6, 1, 4, 1, 0, 0]], [{2, 4}, [2, 1, 6, 1, 2, 1], [2, 1, 6, 1, 2, 0]], [{2, 4}, [6, 1, 2, 1, 2, 1], [6, 1, 2, 1, 2, 0]], [{2, 4}, [6, 1, 3, 2, 0, 1], [6, 1, 3, 2, 0, 0]], [{2, 4}, [7, 1, 0, 4, 1, 0], [7, 1, 1, 3, 0, 0]], [{2, 4}, [2, 1, 5, 1, 3, 1], [2, 1, 5, 1, 3, 0]], [{2, 4}, [4, 1, 5, 1, 1, 1], [4, 1, 5, 1, 1, 0]], [{2, 4}, [5, 2, 4, 1, 0, 1], [5, 2, 4, 1, 0, 0]], [{2, 4}, [8, 1, 2, 1, 1, 0], [8, 1, 3, 0, 0, 0]], [{2, 4}, [4, 1, 5, 1, 0, 2], [4, 1, 5, 1, 0, 1]], [{2, 4}, [7, 1, 2, 2, 0, 1], [7, 1, 2, 2, 0, 0]], [{2, 4}, [2, 1, 8, 2, 0, 0], [2, 2, 8, 0, 0, 0]], [{2, 4}, [7, 1, 3, 1, 0, 1], [7, 1, 3, 1, 0, 0]], [{2, 4}, [8, 1, 1, 2, 0, 1], [8, 1, 1, 2, 0, 0]]} For position , [3, 1, 7, 1, 1, 0], and roll, {2, 5}, the best moves are {[3, 2, 7, 0, 0, 0]} For position , [7, 1, 3, 1, 1, 0], and roll, {2, 5}, the best moves are {[7, 2, 3, 0, 0, 0]} For position , [6, 1, 4, 1, 1, 0], and roll, {2, 5}, the best moves are {[6, 2, 4, 0, 0, 0]} For position , [3, 1, 6, 2, 1, 0], and roll, {2, 5}, the best moves are {[3, 2, 6, 1, 0, 0]} For position , [2, 1, 7, 2, 1, 0], and roll, {2, 5}, the best moves are {[2, 2, 7, 1, 0, 0]} For position , [7, 1, 2, 2, 1, 0], and roll, {2, 5}, the best moves are {[7, 2, 2, 1, 0, 0]} For position , [5, 1, 4, 2, 1, 0], and roll, {2, 5}, the best moves are {[5, 2, 4, 1, 0, 0]} For position , [5, 1, 5, 1, 1, 0], and roll, {2, 5}, the best moves are {[5, 2, 5, 0, 0, 0]} For position , [4, 1, 6, 1, 1, 0], and roll, {2, 5}, the best moves are {[4, 2, 6, 0, 0, 0]} For position , [2, 1, 8, 1, 1, 0], and roll, {2, 5}, the best moves are {[2, 2, 8, 0, 0, 0]} For position , [3, 1, 5, 3, 1, 0], and roll, {2, 5}, the best moves are {[3, 2, 5, 2, 0, 0]} For position , [8, 1, 2, 1, 1, 0], and roll, {2, 5}, the best moves are {[8, 2, 2, 0, 0, 0]} For position , [4, 1, 5, 2, 1, 0], and roll, {2, 5}, the best moves are {[4, 2, 5, 1, 0, 0]} For position , [7, 1, 0, 3, 2, 0], and roll, {2, 5}, the best moves are {[7, 1, 1, 3, 0, 0]} For position , [6, 1, 0, 4, 2, 0], and roll, {2, 5}, the best moves are {[6, 1, 1, 4, 0, 0]} For position , [5, 1, 0, 5, 2, 0], and roll, {2, 5}, the best moves are {[5, 1, 1, 5, 0, 0]} For position , [4, 1, 0, 6, 2, 0], and roll, {2, 5}, the best moves are {[4, 1, 1, 6, 0, 0]} For position , [3, 1, 0, 7, 2, 0], and roll, {2, 5}, the best moves are {[3, 1, 1, 7, 0, 0]} For position , [2, 1, 0, 8, 2, 0], and roll, {2, 5}, the best moves are {[2, 1, 1, 8, 0, 0]} For position , [8, 1, 2, 0, 2, 0], and roll, {2, 5}, the best moves are {[8, 1, 3, 0, 0, 0]} For position , [7, 1, 3, 0, 2, 0], and roll, {2, 5}, the best moves are {[7, 1, 4, 0, 0, 0]} For position , [6, 1, 4, 0, 2, 0], and roll, {2, 5}, the best moves are {[6, 1, 5, 0, 0, 0]} For position , [5, 1, 5, 0, 2, 0], and roll, {2, 5}, the best moves are {[5, 1, 6, 0, 0, 0]} For position , [3, 1, 4, 0, 4, 1], and roll, {2, 5}, the best moves are {[3, 1, 4, 1, 3, 0]} For position , [5, 1, 2, 0, 4, 1], and roll, {2, 5}, the best moves are {[5, 1, 2, 1, 3, 0]} For position , [4, 1, 3, 0, 4, 1], and roll, {2, 5}, the best moves are {[4, 1, 3, 1, 3, 0]} For position , [2, 1, 5, 0, 4, 1], and roll, {2, 5}, the best moves are {[2, 1, 5, 1, 3, 0]} For position , [3, 1, 2, 0, 6, 1], and roll, {2, 5}, the best moves are {[3, 1, 2, 1, 5, 0]} For position , [5, 1, 3, 0, 3, 1], and roll, {2, 5}, the best moves are {[5, 1, 3, 1, 2, 0]} For position , [6, 1, 2, 0, 3, 1], and roll, {2, 5}, the best moves are {[6, 1, 2, 1, 2, 0]} For position , [4, 1, 2, 0, 5, 1], and roll, {2, 5}, the best moves are {[4, 1, 2, 1, 4, 0]} For position , [1, 1, 4, 0, 6, 1], and roll, {2, 5}, the best moves are {[1, 1, 4, 1, 5, 0]} For position , [2, 1, 3, 0, 6, 1], and roll, {2, 5}, the best moves are {[2, 1, 3, 1, 5, 0]} For position , [2, 1, 4, 0, 5, 1], and roll, {2, 5}, the best moves are {[2, 1, 4, 1, 4, 0]} For position , [3, 1, 3, 0, 5, 1], and roll, {2, 5}, the best moves are {[3, 1, 3, 1, 4, 0]} For position , [2, 1, 2, 0, 7, 1], and roll, {2, 5}, the best moves are {[2, 1, 2, 1, 6, 0]} For position , [8, 1, 2, 0, 1, 1], and roll, {2, 5}, the best moves are {[8, 1, 2, 1, 0, 0]} For position , [2, 1, 6, 0, 3, 1], and roll, {2, 5}, the best moves are {[2, 1, 6, 1, 2, 0]} For position , [3, 1, 5, 0, 3, 1], and roll, {2, 5}, the best moves are {[3, 1, 5, 1, 2, 0]} For position , [4, 1, 4, 0, 3, 1], and roll, {2, 5}, the best moves are {[4, 1, 4, 1, 2, 0]} For position , [4, 1, 5, 0, 2, 1], and roll, {2, 5}, the best moves are {[4, 1, 5, 1, 1, 0]} For position , [5, 1, 4, 0, 2, 1], and roll, {2, 5}, the best moves are {[5, 1, 4, 1, 1, 0]} For position , [4, 1, 6, 0, 1, 1], and roll, {2, 5}, the best moves are {[4, 1, 6, 1, 0, 0]} For position , [5, 1, 5, 0, 1, 1], and roll, {2, 5}, the best moves are {[5, 1, 5, 1, 0, 0]} For position , [6, 1, 4, 0, 1, 1], and roll, {2, 5}, the best moves are {[6, 1, 4, 1, 0, 0]} For position , [5, 2, 4, 0, 1, 1], and roll, {2, 5}, the best moves are {[5, 2, 4, 1, 0, 0]} For position , [7, 1, 3, 0, 1, 1], and roll, {2, 5}, the best moves are {[7, 1, 3, 1, 0, 0]} For position , [9, 1, 1, 0, 1, 1], and roll, {2, 5}, the best moves are {[9, 1, 1, 1, 0, 0]} For position , [3, 1, 6, 0, 2, 1], and roll, {2, 5}, the best moves are {[3, 1, 6, 1, 1, 0]} For position , [3, 1, 7, 0, 1, 1], and roll, {2, 5}, the best moves are {[3, 1, 7, 1, 0, 0]} For position , [5, 1, 4, 1, 1, 1], and roll, {2, 5}, the best moves are {[5, 1, 4, 2, 0, 0]} For position , [8, 1, 1, 1, 1, 1], and roll, {2, 5}, the best moves are {[8, 1, 1, 2, 0, 0]} For position , [4, 1, 5, 1, 1, 1], and roll, {2, 5}, the best moves are {[4, 1, 5, 2, 0, 0]} For position , [6, 1, 3, 1, 1, 1], and roll, {2, 5}, the best moves are {[6, 1, 3, 2, 0, 0]} For position , [7, 1, 2, 1, 1, 1], and roll, {2, 5}, the best moves are {[7, 1, 2, 2, 0, 0]} For position , [4, 1, 5, 0, 1, 2], and roll, {2, 5}, the best moves are {[4, 1, 5, 1, 0, 1]} For position , [9, 1, 1, 0, 2, 0], and roll, {2, 5}, the best moves are {[9, 1, 2, 0, 0, 0]} For position , [3, 1, 6, 0, 1, 2], and roll, {2, 5}, the best moves are {[3, 1, 6, 1, 0, 1]} When the roll was, {2, 5}, and there were, 13, checkers , the exceptions to greedy play were {[{2, 5}, [9, 1, 1, 0, 2, 0], [9, 1, 2, 0, 0, 0]], [{2, 5}, [3, 1, 0, 7, 2, 0], [3, 1, 1, 7, 0, 0]], [{2, 5}, [3, 1, 6, 0, 1, 2], [3, 1, 6, 1, 0, 1]], [{2, 5}, [5, 1, 2, 0, 4, 1], [5, 1, 2, 1, 3, 0]], [{2, 5}, [3, 1, 4, 0, 4, 1], [3, 1, 4, 1, 3, 0]], [{2, 5}, [2, 1, 5, 0, 4, 1], [2, 1, 5, 1, 3, 0]], [{2, 5}, [2, 1, 7, 2, 1, 0], [2, 2, 7, 1, 0, 0]], [{2, 5}, [3, 1, 2, 0, 6, 1], [3, 1, 2, 1, 5, 0]], [{2, 5}, [5, 1, 3, 0, 3, 1], [5, 1, 3, 1, 2, 0]], [{2, 5}, [3, 1, 6, 2, 1, 0], [3, 2, 6, 1, 0, 0]], [{2, 5}, [6, 1, 2, 0, 3, 1], [6, 1, 2, 1, 2, 0]], [{2, 5}, [4, 1, 2, 0, 5, 1], [4, 1, 2, 1, 4, 0]], [{2, 5}, [5, 1, 5, 0, 2, 0], [5, 1, 6, 0, 0, 0]], [{2, 5}, [2, 1, 3, 0, 6, 1], [2, 1, 3, 1, 5, 0]], [{2, 5}, [2, 1, 0, 8, 2, 0], [2, 1, 1, 8, 0, 0]], [{2, 5}, [2, 1, 4, 0, 5, 1], [2, 1, 4, 1, 4, 0]], [{2, 5}, [4, 1, 3, 0, 4, 1], [4, 1, 3, 1, 3, 0]], [{2, 5}, [3, 1, 3, 0, 5, 1], [3, 1, 3, 1, 4, 0]], [{2, 5}, [2, 1, 6, 0, 3, 1], [2, 1, 6, 1, 2, 0]], [{2, 5}, [3, 1, 5, 0, 3, 1], [3, 1, 5, 1, 2, 0]], [{2, 5}, [6, 1, 0, 4, 2, 0], [6, 1, 1, 4, 0, 0]], [{2, 5}, [4, 1, 4, 0, 3, 1], [4, 1, 4, 1, 2, 0]], [{2, 5}, [4, 1, 0, 6, 2, 0], [4, 1, 1, 6, 0, 0]], [{2, 5}, [4, 1, 5, 0, 2, 1], [4, 1, 5, 1, 1, 0]], [{2, 5}, [5, 1, 4, 0, 2, 1], [5, 1, 4, 1, 1, 0]], [{2, 5}, [4, 1, 6, 0, 1, 1], [4, 1, 6, 1, 0, 0]], [{2, 5}, [5, 1, 5, 0, 1, 1], [5, 1, 5, 1, 0, 0]], [{2, 5}, [3, 1, 6, 0, 2, 1], [3, 1, 6, 1, 1, 0]], [{2, 5}, [3, 1, 7, 0, 1, 1], [3, 1, 7, 1, 0, 0]], [{2, 5}, [5, 1, 4, 1, 1, 1], [5, 1, 4, 2, 0, 0]], [{2, 5}, [4, 1, 5, 1, 1, 1], [4, 1, 5, 2, 0, 0]], [{2, 5}, [6, 1, 3, 1, 1, 1], [6, 1, 3, 2, 0, 0]], [{2, 5}, [3, 1, 5, 3, 1, 0], [3, 2, 5, 2, 0, 0]], [{2, 5}, [7, 1, 2, 1, 1, 1], [7, 1, 2, 2, 0, 0]], [{2, 5}, [4, 1, 6, 1, 1, 0], [4, 2, 6, 0, 0, 0]], [{2, 5}, [3, 1, 7, 1, 1, 0], [3, 2, 7, 0, 0, 0]], [{2, 5}, [5, 1, 5, 1, 1, 0], [5, 2, 5, 0, 0, 0]], [{2, 5}, [6, 1, 4, 1, 1, 0], [6, 2, 4, 0, 0, 0]], [{2, 5}, [7, 1, 3, 1, 1, 0], [7, 2, 3, 0, 0, 0]], [{2, 5}, [5, 1, 4, 2, 1, 0], [5, 2, 4, 1, 0, 0]], [{2, 5}, [7, 1, 2, 2, 1, 0], [7, 2, 2, 1, 0, 0]], [{2, 5}, [2, 1, 8, 1, 1, 0], [2, 2, 8, 0, 0, 0]], [{2, 5}, [4, 1, 5, 2, 1, 0], [4, 2, 5, 1, 0, 0]], [{2, 5}, [8, 1, 2, 1, 1, 0], [8, 2, 2, 0, 0, 0]], [{2, 5}, [5, 1, 0, 5, 2, 0], [5, 1, 1, 5, 0, 0]], [{2, 5}, [7, 1, 0, 3, 2, 0], [7, 1, 1, 3, 0, 0]], [{2, 5}, [6, 1, 4, 0, 2, 0], [6, 1, 5, 0, 0, 0]], [{2, 5}, [7, 1, 3, 0, 2, 0], [7, 1, 4, 0, 0, 0]], [{2, 5}, [8, 1, 2, 0, 2, 0], [8, 1, 3, 0, 0, 0]], [{2, 5}, [1, 1, 4, 0, 6, 1], [1, 1, 4, 1, 5, 0]], [{2, 5}, [8, 1, 2, 0, 1, 1], [8, 1, 2, 1, 0, 0]], [{2, 5}, [2, 1, 2, 0, 7, 1], [2, 1, 2, 1, 6, 0]], [{2, 5}, [6, 1, 4, 0, 1, 1], [6, 1, 4, 1, 0, 0]], [{2, 5}, [5, 2, 4, 0, 1, 1], [5, 2, 4, 1, 0, 0]], [{2, 5}, [7, 1, 3, 0, 1, 1], [7, 1, 3, 1, 0, 0]], [{2, 5}, [9, 1, 1, 0, 1, 1], [9, 1, 1, 1, 0, 0]], [{2, 5}, [4, 1, 5, 0, 1, 2], [4, 1, 5, 1, 0, 1]], [{2, 5}, [8, 1, 1, 1, 1, 1], [8, 1, 1, 2, 0, 0]]} For position , [7, 1, 0, 3, 1, 1], and roll, {2, 6}, the best moves are {[7, 1, 1, 3, 0, 0]} For position , [3, 1, 6, 2, 0, 1], and roll, {2, 6}, the best moves are {[3, 2, 6, 1, 0, 0]} For position , [7, 1, 2, 2, 0, 1], and roll, {2, 6}, the best moves are {[7, 2, 2, 1, 0, 0]} For position , [2, 1, 7, 2, 0, 1], and roll, {2, 6}, the best moves are {[2, 2, 7, 1, 0, 0]} For position , [6, 1, 0, 4, 1, 1], and roll, {2, 6}, the best moves are {[6, 1, 1, 4, 0, 0]} For position , [5, 1, 4, 2, 0, 1], and roll, {2, 6}, the best moves are {[5, 2, 4, 1, 0, 0]} For position , [4, 1, 5, 2, 0, 1], and roll, {2, 6}, the best moves are {[4, 2, 5, 1, 0, 0]} For position , [4, 1, 0, 6, 1, 1], and roll, {2, 6}, the best moves are {[4, 1, 1, 6, 0, 0]} For position , [5, 1, 0, 5, 1, 1], and roll, {2, 6}, the best moves are {[5, 1, 1, 5, 0, 0]} For position , [8, 1, 2, 0, 1, 1], and roll, {2, 6}, the best moves are {[8, 1, 3, 0, 0, 0]} For position , [2, 1, 0, 8, 1, 1], and roll, {2, 6}, the best moves are {[2, 1, 1, 8, 0, 0]} For position , [3, 1, 5, 3, 0, 1], and roll, {2, 6}, the best moves are {[3, 2, 5, 2, 0, 0]} For position , [3, 1, 0, 7, 1, 1], and roll, {2, 6}, the best moves are {[3, 1, 1, 7, 0, 0]} For position , [5, 1, 5, 0, 1, 1], and roll, {2, 6}, the best moves are {[5, 1, 6, 0, 0, 0]} For position , [6, 1, 4, 0, 1, 1], and roll, {2, 6}, the best moves are {[6, 1, 5, 0, 0, 0]} For position , [7, 1, 3, 0, 1, 1], and roll, {2, 6}, the best moves are {[7, 1, 4, 0, 0, 0]} For position , [9, 1, 1, 0, 1, 1], and roll, {2, 6}, the best moves are {[9, 1, 2, 0, 0, 0]} For position , [8, 1, 2, 1, 0, 1], and roll, {2, 6}, the best moves are {[8, 2, 2, 0, 0, 0]} For position , [3, 1, 7, 1, 0, 1], and roll, {2, 6}, the best moves are {[3, 2, 7, 0, 0, 0]} For position , [4, 1, 6, 1, 0, 1], and roll, {2, 6}, the best moves are {[4, 2, 6, 0, 0, 0]} For position , [5, 1, 5, 1, 0, 1], and roll, {2, 6}, the best moves are {[5, 2, 5, 0, 0, 0]} For position , [6, 1, 4, 1, 0, 1], and roll, {2, 6}, the best moves are {[6, 2, 4, 0, 0, 0]} For position , [2, 1, 8, 1, 0, 1], and roll, {2, 6}, the best moves are {[2, 2, 8, 0, 0, 0]} For position , [4, 1, 4, 0, 2, 2], and roll, {2, 6}, the best moves are {[4, 1, 4, 1, 2, 0]} For position , [4, 1, 5, 0, 1, 2], and roll, {2, 6}, the best moves are {[4, 1, 5, 1, 1, 0]} For position , [6, 1, 2, 0, 2, 2], and roll, {2, 6}, the best moves are {[6, 1, 2, 1, 2, 0]} For position , [5, 1, 3, 0, 2, 2], and roll, {2, 6}, the best moves are {[5, 1, 3, 1, 2, 0]} For position , [5, 1, 4, 0, 1, 2], and roll, {2, 6}, the best moves are {[5, 1, 4, 1, 1, 0]} For position , [1, 1, 4, 0, 5, 2], and roll, {2, 6}, the best moves are {[1, 1, 4, 1, 5, 0]} For position , [2, 1, 3, 0, 5, 2], and roll, {2, 6}, the best moves are {[2, 1, 3, 1, 5, 0]} For position , [3, 1, 2, 0, 5, 2], and roll, {2, 6}, the best moves are {[3, 1, 2, 1, 5, 0]} For position , [7, 1, 3, 1, 0, 1], and roll, {2, 6}, the best moves are {[7, 2, 3, 0, 0, 0]} For position , [2, 1, 2, 0, 6, 2], and roll, {2, 6}, the best moves are {[2, 1, 2, 1, 6, 0]} For position , [2, 1, 6, 0, 2, 2], and roll, {2, 6}, the best moves are {[2, 1, 6, 1, 2, 0]} For position , [3, 1, 5, 0, 2, 2], and roll, {2, 6}, the best moves are {[3, 1, 5, 1, 2, 0]} For position , [7, 1, 2, 1, 0, 2], and roll, {2, 6}, the best moves are {[7, 1, 2, 2, 0, 0]} For position , [5, 1, 4, 1, 0, 2], and roll, {2, 6}, the best moves are {[5, 1, 4, 2, 0, 0]} For position , [9, 1, 1, 0, 0, 2], and roll, {2, 6}, the best moves are {[9, 1, 1, 1, 0, 0]} For position , [8, 1, 1, 1, 0, 2], and roll, {2, 6}, the best moves are {[8, 1, 1, 2, 0, 0]} For position , [4, 1, 5, 1, 0, 2], and roll, {2, 6}, the best moves are {[4, 1, 5, 2, 0, 0]} For position , [6, 1, 3, 1, 0, 2], and roll, {2, 6}, the best moves are {[6, 1, 3, 2, 0, 0]} For position , [3, 1, 4, 0, 3, 2], and roll, {2, 6}, the best moves are {[3, 1, 4, 1, 3, 0]} For position , [5, 1, 2, 0, 3, 2], and roll, {2, 6}, the best moves are {[5, 1, 2, 1, 3, 0]} For position , [4, 1, 3, 0, 3, 2], and roll, {2, 6}, the best moves are {[4, 1, 3, 1, 3, 0]} For position , [2, 1, 5, 0, 3, 2], and roll, {2, 6}, the best moves are {[2, 1, 5, 1, 3, 0]} For position , [3, 1, 6, 0, 1, 2], and roll, {2, 6}, the best moves are {[3, 1, 6, 1, 1, 0]} For position , [3, 1, 7, 0, 0, 2], and roll, {2, 6}, the best moves are {[3, 1, 7, 1, 0, 0]} For position , [4, 1, 6, 0, 0, 2], and roll, {2, 6}, the best moves are {[4, 1, 6, 1, 0, 0]} For position , [5, 1, 5, 0, 0, 2], and roll, {2, 6}, the best moves are {[5, 1, 5, 1, 0, 0]} For position , [6, 1, 4, 0, 0, 2], and roll, {2, 6}, the best moves are {[6, 1, 4, 1, 0, 0]} For position , [5, 2, 4, 0, 0, 2], and roll, {2, 6}, the best moves are {[5, 2, 4, 1, 0, 0]} For position , [7, 1, 3, 0, 0, 2], and roll, {2, 6}, the best moves are {[7, 1, 3, 1, 0, 0]} For position , [8, 1, 2, 0, 0, 2], and roll, {2, 6}, the best moves are {[8, 1, 2, 1, 0, 0]} For position , [3, 1, 3, 0, 4, 2], and roll, {2, 6}, the best moves are {[3, 1, 3, 1, 4, 0]} For position , [4, 1, 2, 0, 4, 2], and roll, {2, 6}, the best moves are {[4, 1, 2, 1, 4, 0]} For position , [2, 1, 4, 0, 4, 2], and roll, {2, 6}, the best moves are {[2, 1, 4, 1, 4, 0]} For position , [4, 1, 5, 0, 0, 3], and roll, {2, 6}, the best moves are {[4, 1, 5, 1, 0, 1]} For position , [3, 1, 6, 0, 0, 3], and roll, {2, 6}, the best moves are {[3, 1, 6, 1, 0, 1]} When the roll was, {2, 6}, and there were, 13, checkers , the exceptions to greedy play were {[{2, 6}, [3, 1, 7, 1, 0, 1], [3, 2, 7, 0, 0, 0]], [{2, 6}, [3, 1, 5, 3, 0, 1], [3, 2, 5, 2, 0, 0]], [{2, 6}, [5, 1, 5, 0, 1, 1], [5, 1, 6, 0, 0, 0]], [{2, 6}, [1, 1, 4, 0, 5, 2], [1, 1, 4, 1, 5, 0]], [{2, 6}, [6, 1, 3, 1, 0, 2], [6, 1, 3, 2, 0, 0]], [{2, 6}, [5, 1, 4, 2, 0, 1], [5, 2, 4, 1, 0, 0]], [{2, 6}, [9, 1, 1, 0, 0, 2], [9, 1, 1, 1, 0, 0]], [{2, 6}, [7, 1, 3, 0, 0, 2], [7, 1, 3, 1, 0, 0]], [{2, 6}, [2, 1, 5, 0, 3, 2], [2, 1, 5, 1, 3, 0]], [{2, 6}, [3, 1, 6, 0, 1, 2], [3, 1, 6, 1, 1, 0]], [{2, 6}, [3, 1, 7, 0, 0, 2], [3, 1, 7, 1, 0, 0]], [{2, 6}, [5, 1, 4, 1, 0, 2], [5, 1, 4, 2, 0, 0]], [{2, 6}, [3, 1, 6, 2, 0, 1], [3, 2, 6, 1, 0, 0]], [{2, 6}, [4, 1, 6, 1, 0, 1], [4, 2, 6, 0, 0, 0]], [{2, 6}, [5, 1, 5, 1, 0, 1], [5, 2, 5, 0, 0, 0]], [{2, 6}, [2, 1, 8, 1, 0, 1], [2, 2, 8, 0, 0, 0]], [{2, 6}, [4, 1, 5, 2, 0, 1], [4, 2, 5, 1, 0, 0]], [{2, 6}, [5, 1, 3, 0, 2, 2], [5, 1, 3, 1, 2, 0]], [{2, 6}, [5, 1, 4, 0, 1, 2], [5, 1, 4, 1, 1, 0]], [{2, 6}, [3, 1, 0, 7, 1, 1], [3, 1, 1, 7, 0, 0]], [{2, 6}, [3, 1, 4, 0, 3, 2], [3, 1, 4, 1, 3, 0]], [{2, 6}, [5, 1, 2, 0, 3, 2], [5, 1, 2, 1, 3, 0]], [{2, 6}, [4, 1, 3, 0, 3, 2], [4, 1, 3, 1, 3, 0]], [{2, 6}, [6, 1, 4, 0, 0, 2], [6, 1, 4, 1, 0, 0]], [{2, 6}, [8, 1, 2, 0, 1, 1], [8, 1, 3, 0, 0, 0]], [{2, 6}, [7, 1, 3, 1, 0, 1], [7, 2, 3, 0, 0, 0]], [{2, 6}, [4, 1, 4, 0, 2, 2], [4, 1, 4, 1, 2, 0]], [{2, 6}, [4, 1, 5, 0, 1, 2], [4, 1, 5, 1, 1, 0]], [{2, 6}, [6, 1, 2, 0, 2, 2], [6, 1, 2, 1, 2, 0]], [{2, 6}, [2, 1, 7, 2, 0, 1], [2, 2, 7, 1, 0, 0]], [{2, 6}, [3, 1, 5, 0, 2, 2], [3, 1, 5, 1, 2, 0]], [{2, 6}, [7, 1, 0, 3, 1, 1], [7, 1, 1, 3, 0, 0]], [{2, 6}, [8, 1, 2, 1, 0, 1], [8, 2, 2, 0, 0, 0]], [{2, 6}, [3, 1, 6, 0, 0, 3], [3, 1, 6, 1, 0, 1]], [{2, 6}, [6, 1, 4, 0, 1, 1], [6, 1, 5, 0, 0, 0]], [{2, 6}, [8, 1, 1, 1, 0, 2], [8, 1, 1, 2, 0, 0]], [{2, 6}, [2, 1, 3, 0, 5, 2], [2, 1, 3, 1, 5, 0]], [{2, 6}, [3, 1, 2, 0, 5, 2], [3, 1, 2, 1, 5, 0]], [{2, 6}, [2, 1, 6, 0, 2, 2], [2, 1, 6, 1, 2, 0]], [{2, 6}, [4, 1, 2, 0, 4, 2], [4, 1, 2, 1, 4, 0]], [{2, 6}, [2, 1, 4, 0, 4, 2], [2, 1, 4, 1, 4, 0]], [{2, 6}, [4, 1, 5, 0, 0, 3], [4, 1, 5, 1, 0, 1]], [{2, 6}, [5, 2, 4, 0, 0, 2], [5, 2, 4, 1, 0, 0]], [{2, 6}, [7, 1, 3, 0, 1, 1], [7, 1, 4, 0, 0, 0]], [{2, 6}, [7, 1, 2, 1, 0, 2], [7, 1, 2, 2, 0, 0]], [{2, 6}, [8, 1, 2, 0, 0, 2], [8, 1, 2, 1, 0, 0]], [{2, 6}, [4, 1, 6, 0, 0, 2], [4, 1, 6, 1, 0, 0]], [{2, 6}, [5, 1, 5, 0, 0, 2], [5, 1, 5, 1, 0, 0]], [{2, 6}, [3, 1, 3, 0, 4, 2], [3, 1, 3, 1, 4, 0]], [{2, 6}, [7, 1, 2, 2, 0, 1], [7, 2, 2, 1, 0, 0]], [{2, 6}, [9, 1, 1, 0, 1, 1], [9, 1, 2, 0, 0, 0]], [{2, 6}, [6, 1, 4, 1, 0, 1], [6, 2, 4, 0, 0, 0]], [{2, 6}, [2, 1, 2, 0, 6, 2], [2, 1, 2, 1, 6, 0]], [{2, 6}, [4, 1, 5, 1, 0, 2], [4, 1, 5, 2, 0, 0]], [{2, 6}, [5, 1, 0, 5, 1, 1], [5, 1, 1, 5, 0, 0]], [{2, 6}, [4, 1, 0, 6, 1, 1], [4, 1, 1, 6, 0, 0]], [{2, 6}, [2, 1, 0, 8, 1, 1], [2, 1, 1, 8, 0, 0]], [{2, 6}, [6, 1, 0, 4, 1, 1], [6, 1, 1, 4, 0, 0]]} For position , [7, 0, 4, 1, 1, 0], and roll, {3, 4}, the best moves are {[7, 1, 4, 0, 0, 0]} For position , [8, 0, 3, 1, 1, 0], and roll, {3, 4}, the best moves are {[8, 1, 3, 0, 0, 0]} For position , [7, 0, 1, 4, 1, 0], and roll, {3, 4}, the best moves are {[7, 1, 1, 3, 0, 0]} For position , [6, 0, 5, 1, 1, 0], and roll, {3, 4}, the best moves are {[6, 1, 5, 0, 0, 0]} For position , [4, 0, 1, 7, 1, 0], and roll, {3, 4}, the best moves are {[4, 1, 1, 6, 0, 0]} For position , [5, 0, 6, 1, 1, 0], and roll, {3, 4}, the best moves are {[5, 1, 6, 0, 0, 0]} For position , [6, 0, 1, 5, 1, 0], and roll, {3, 4}, the best moves are {[6, 1, 1, 4, 0, 0]} For position , [3, 0, 1, 8, 1, 0], and roll, {3, 4}, the best moves are {[3, 1, 1, 7, 0, 0]} For position , [2, 0, 1, 9, 1, 0], and roll, {3, 4}, the best moves are {[2, 1, 1, 8, 0, 0]} For position , [9, 0, 2, 1, 1, 0], and roll, {3, 4}, the best moves are {[9, 1, 2, 0, 0, 0]} For position , [5, 0, 1, 6, 1, 0], and roll, {3, 4}, the best moves are {[5, 1, 1, 5, 0, 0]} For position , [3, 3, 1, 5, 0, 1], and roll, {3, 4}, the best moves are {[3, 3, 2, 4, 0, 0]} For position , [2, 0, 5, 1, 4, 1], and roll, {3, 4}, the best moves are {[2, 1, 4, 1, 4, 0]} For position , [3, 0, 4, 1, 4, 1], and roll, {3, 4}, the best moves are {[3, 1, 3, 1, 4, 0]} For position , [4, 0, 3, 1, 4, 1], and roll, {3, 4}, the best moves are {[4, 1, 2, 1, 4, 0]} For position , [4, 0, 5, 1, 2, 1], and roll, {3, 4}, the best moves are {[4, 1, 4, 1, 2, 0]} For position , [5, 0, 4, 1, 2, 1], and roll, {3, 4}, the best moves are {[5, 1, 3, 1, 2, 0]} For position , [2, 0, 7, 1, 2, 1], and roll, {3, 4}, the best moves are {[2, 1, 6, 1, 2, 0]} For position , [3, 0, 6, 1, 2, 1], and roll, {3, 4}, the best moves are {[3, 1, 5, 1, 2, 0]} For position , [2, 4, 1, 5, 0, 1], and roll, {3, 4}, the best moves are {[2, 4, 2, 4, 0, 0]} For position , [2, 3, 1, 6, 0, 1], and roll, {3, 4}, the best moves are {[2, 3, 2, 5, 0, 0]} For position , [3, 2, 1, 6, 0, 1], and roll, {3, 4}, the best moves are {[3, 2, 2, 5, 0, 0]} For position , [4, 1, 1, 6, 0, 1], and roll, {3, 4}, the best moves are {[4, 1, 2, 5, 0, 0]} For position , [1, 0, 5, 1, 5, 1], and roll, {3, 4}, the best moves are {[1, 1, 4, 1, 5, 0]} For position , [2, 0, 4, 1, 5, 1], and roll, {3, 4}, the best moves are {[2, 1, 3, 1, 5, 0]} For position , [3, 0, 3, 1, 5, 1], and roll, {3, 4}, the best moves are {[3, 1, 2, 1, 5, 0]} For position , [4, 0, 6, 2, 0, 1], and roll, {3, 4}, the best moves are {[4, 1, 5, 2, 0, 0]} For position , [2, 2, 1, 7, 0, 1], and roll, {3, 4}, the best moves are {[2, 2, 2, 6, 0, 0]} For position , [3, 1, 1, 7, 0, 1], and roll, {3, 4}, the best moves are {[3, 1, 2, 6, 0, 0]} For position , [4, 0, 1, 7, 0, 1], and roll, {3, 4}, the best moves are {[4, 0, 2, 6, 0, 0]} For position , [7, 0, 3, 2, 0, 1], and roll, {3, 4}, the best moves are {[7, 1, 2, 2, 0, 0]} For position , [8, 0, 2, 2, 0, 1], and roll, {3, 4}, the best moves are {[8, 1, 1, 2, 0, 0]} For position , [3, 6, 1, 2, 0, 1], and roll, {3, 4}, the best moves are {[3, 6, 2, 1, 0, 0]} For position , [2, 0, 3, 1, 6, 1], and roll, {3, 4}, the best moves are {[2, 1, 2, 1, 6, 0]} For position , [6, 0, 4, 2, 0, 1], and roll, {3, 4}, the best moves are {[6, 1, 3, 2, 0, 0]} For position , [4, 5, 1, 2, 0, 1], and roll, {3, 4}, the best moves are {[4, 5, 2, 1, 0, 0]} For position , [5, 0, 5, 2, 0, 1], and roll, {3, 4}, the best moves are {[5, 1, 4, 2, 0, 0]} For position , [5, 4, 1, 2, 0, 1], and roll, {3, 4}, the best moves are {[5, 4, 2, 1, 0, 0]} For position , [6, 3, 1, 2, 0, 1], and roll, {3, 4}, the best moves are {[6, 3, 2, 1, 0, 0]} For position , [7, 2, 1, 2, 0, 1], and roll, {3, 4}, the best moves are {[7, 2, 2, 1, 0, 0]} For position , [2, 0, 1, 9, 0, 1], and roll, {3, 4}, the best moves are {[2, 0, 2, 8, 0, 0]} For position , [5, 3, 1, 3, 0, 1], and roll, {3, 4}, the best moves are {[5, 3, 2, 2, 0, 0]} For position , [6, 2, 1, 3, 0, 1], and roll, {3, 4}, the best moves are {[6, 2, 2, 2, 0, 0]} For position , [7, 1, 1, 3, 0, 1], and roll, {3, 4}, the best moves are {[7, 1, 2, 2, 0, 0]} For position , [3, 5, 1, 3, 0, 1], and roll, {3, 4}, the best moves are {[3, 5, 2, 2, 0, 0]} For position , [4, 4, 1, 3, 0, 1], and roll, {3, 4}, the best moves are {[4, 4, 2, 2, 0, 0]} For position , [2, 1, 1, 8, 0, 1], and roll, {3, 4}, the best moves are {[2, 1, 2, 7, 0, 0]} For position , [3, 0, 1, 8, 0, 1], and roll, {3, 4}, the best moves are {[3, 0, 2, 7, 0, 0]} For position , [3, 0, 5, 1, 3, 1], and roll, {3, 4}, the best moves are {[3, 1, 4, 1, 3, 0]} For position , [4, 0, 4, 1, 3, 1], and roll, {3, 4}, the best moves are {[4, 1, 3, 1, 3, 0]} For position , [9, 0, 2, 1, 0, 1], and roll, {3, 4}, the best moves are {[9, 1, 1, 1, 0, 0]} For position , [2, 5, 1, 4, 0, 1], and roll, {3, 4}, the best moves are {[2, 5, 2, 3, 0, 0]} For position , [3, 4, 1, 4, 0, 1], and roll, {3, 4}, the best moves are {[3, 4, 2, 3, 0, 0]} For position , [4, 3, 1, 4, 0, 1], and roll, {3, 4}, the best moves are {[4, 3, 2, 3, 0, 0]} For position , [5, 2, 1, 4, 0, 1], and roll, {3, 4}, the best moves are {[5, 2, 2, 3, 0, 0]} For position , [6, 1, 1, 4, 0, 1], and roll, {3, 4}, the best moves are {[6, 1, 2, 3, 0, 0]} For position , [4, 0, 7, 1, 0, 1], and roll, {3, 4}, the best moves are {[4, 1, 6, 1, 0, 0]} For position , [5, 0, 6, 1, 0, 1], and roll, {3, 4}, the best moves are {[5, 1, 5, 1, 0, 0]} For position , [8, 0, 3, 1, 0, 1], and roll, {3, 4}, the best moves are {[8, 1, 2, 1, 0, 0]} For position , [5, 1, 5, 1, 0, 1], and roll, {3, 4}, the best moves are {[5, 2, 4, 1, 0, 0]} For position , [6, 0, 5, 1, 0, 1], and roll, {3, 4}, the best moves are {[6, 1, 4, 1, 0, 0]} For position , [3, 0, 7, 1, 1, 1], and roll, {3, 4}, the best moves are {[3, 1, 6, 1, 1, 0]} For position , [4, 0, 6, 1, 1, 1], and roll, {3, 4}, the best moves are {[4, 1, 5, 1, 1, 0]} For position , [2, 0, 6, 1, 3, 1], and roll, {3, 4}, the best moves are {[2, 1, 5, 1, 3, 0]} For position , [5, 0, 3, 1, 3, 1], and roll, {3, 4}, the best moves are {[5, 1, 2, 1, 3, 0]} For position , [6, 0, 3, 1, 2, 1], and roll, {3, 4}, the best moves are {[6, 1, 2, 1, 2, 0]} For position , [3, 0, 8, 1, 0, 1], and roll, {3, 4}, the best moves are {[3, 1, 7, 1, 0, 0]} For position , [4, 2, 1, 5, 0, 1], and roll, {3, 4}, the best moves are {[4, 2, 2, 4, 0, 0]} For position , [5, 1, 1, 5, 0, 1], and roll, {3, 4}, the best moves are {[5, 1, 2, 4, 0, 0]} For position , [5, 0, 5, 1, 1, 1], and roll, {3, 4}, the best moves are {[5, 1, 4, 1, 1, 0]} For position , [7, 0, 4, 1, 0, 1], and roll, {3, 4}, the best moves are {[7, 1, 3, 1, 0, 0]} For position , [3, 0, 7, 1, 0, 2], and roll, {3, 4}, the best moves are {[3, 1, 6, 1, 0, 1]} For position , [4, 0, 6, 1, 0, 2], and roll, {3, 4}, the best moves are {[4, 1, 5, 1, 0, 1]} For position , [2, 0, 1, 8, 0, 2], and roll, {3, 4}, the best moves are {[2, 0, 2, 7, 0, 1]} For position , [3, 0, 1, 7, 0, 2], and roll, {3, 4}, the best moves are {[3, 0, 2, 6, 0, 1]} For position , [2, 1, 1, 7, 0, 2], and roll, {3, 4}, the best moves are {[2, 1, 2, 6, 0, 1]} When the roll was, {3, 4}, and there were, 13, checkers , the exceptions to greedy play were {[{3, 4}, [4, 0, 6, 1, 1, 1], [4, 1, 5, 1, 1, 0]], [{3, 4}, [3, 0, 4, 1, 4, 1], [3, 1, 3, 1, 4, 0]], [{3, 4}, [8, 0, 2, 2, 0, 1], [8, 1, 1, 2, 0, 0]], [{3, 4}, [4, 0, 3, 1, 4, 1], [4, 1, 2, 1, 4, 0]], [{3, 4}, [6, 0, 5, 1, 0, 1], [6, 1, 4, 1, 0, 0]], [{3, 4}, [1, 0, 5, 1, 5, 1], [1, 1, 4, 1, 5, 0]], [{3, 4}, [2, 0, 5, 1, 4, 1], [2, 1, 4, 1, 4, 0]], [{3, 4}, [7, 0, 4, 1, 1, 0], [7, 1, 4, 0, 0, 0]], [{3, 4}, [4, 0, 5, 1, 2, 1], [4, 1, 4, 1, 2, 0]], [{3, 4}, [9, 0, 2, 1, 1, 0], [9, 1, 2, 0, 0, 0]], [{3, 4}, [5, 0, 4, 1, 2, 1], [5, 1, 3, 1, 2, 0]], [{3, 4}, [2, 0, 7, 1, 2, 1], [2, 1, 6, 1, 2, 0]], [{3, 4}, [8, 0, 3, 1, 1, 0], [8, 1, 3, 0, 0, 0]], [{3, 4}, [3, 0, 6, 1, 2, 1], [3, 1, 5, 1, 2, 0]], [{3, 4}, [2, 4, 1, 5, 0, 1], [2, 4, 2, 4, 0, 0]], [{3, 4}, [3, 0, 1, 7, 0, 2], [3, 0, 2, 6, 0, 1]], [{3, 4}, [2, 0, 3, 1, 6, 1], [2, 1, 2, 1, 6, 0]], [{3, 4}, [7, 0, 1, 4, 1, 0], [7, 1, 1, 3, 0, 0]], [{3, 4}, [6, 0, 4, 2, 0, 1], [6, 1, 3, 2, 0, 0]], [{3, 4}, [2, 0, 4, 1, 5, 1], [2, 1, 3, 1, 5, 0]], [{3, 4}, [2, 1, 1, 7, 0, 2], [2, 1, 2, 6, 0, 1]], [{3, 4}, [6, 0, 5, 1, 1, 0], [6, 1, 5, 0, 0, 0]], [{3, 4}, [4, 0, 6, 2, 0, 1], [4, 1, 5, 2, 0, 0]], [{3, 4}, [3, 0, 3, 1, 5, 1], [3, 1, 2, 1, 5, 0]], [{3, 4}, [3, 3, 1, 5, 0, 1], [3, 3, 2, 4, 0, 0]], [{3, 4}, [2, 2, 1, 7, 0, 1], [2, 2, 2, 6, 0, 0]], [{3, 4}, [3, 1, 1, 7, 0, 1], [3, 1, 2, 6, 0, 0]], [{3, 4}, [3, 6, 1, 2, 0, 1], [3, 6, 2, 1, 0, 0]], [{3, 4}, [2, 0, 1, 9, 0, 1], [2, 0, 2, 8, 0, 0]], [{3, 4}, [5, 0, 5, 2, 0, 1], [5, 1, 4, 2, 0, 0]], [{3, 4}, [3, 5, 1, 3, 0, 1], [3, 5, 2, 2, 0, 0]], [{3, 4}, [4, 4, 1, 3, 0, 1], [4, 4, 2, 2, 0, 0]], [{3, 4}, [5, 0, 1, 6, 1, 0], [5, 1, 1, 5, 0, 0]], [{3, 4}, [2, 1, 1, 8, 0, 1], [2, 1, 2, 7, 0, 0]], [{3, 4}, [2, 0, 1, 9, 1, 0], [2, 1, 1, 8, 0, 0]], [{3, 4}, [5, 4, 1, 2, 0, 1], [5, 4, 2, 1, 0, 0]], [{3, 4}, [3, 0, 1, 8, 0, 1], [3, 0, 2, 7, 0, 0]], [{3, 4}, [3, 0, 1, 8, 1, 0], [3, 1, 1, 7, 0, 0]], [{3, 4}, [3, 0, 5, 1, 3, 1], [3, 1, 4, 1, 3, 0]], [{3, 4}, [4, 0, 4, 1, 3, 1], [4, 1, 3, 1, 3, 0]], [{3, 4}, [2, 5, 1, 4, 0, 1], [2, 5, 2, 3, 0, 0]], [{3, 4}, [3, 4, 1, 4, 0, 1], [3, 4, 2, 3, 0, 0]], [{3, 4}, [4, 3, 1, 4, 0, 1], [4, 3, 2, 3, 0, 0]], [{3, 4}, [5, 2, 1, 4, 0, 1], [5, 2, 2, 3, 0, 0]], [{3, 4}, [4, 0, 1, 7, 0, 1], [4, 0, 2, 6, 0, 0]], [{3, 4}, [6, 3, 1, 2, 0, 1], [6, 3, 2, 1, 0, 0]], [{3, 4}, [5, 0, 6, 1, 1, 0], [5, 1, 6, 0, 0, 0]], [{3, 4}, [6, 1, 1, 4, 0, 1], [6, 1, 2, 3, 0, 0]], [{3, 4}, [4, 0, 7, 1, 0, 1], [4, 1, 6, 1, 0, 0]], [{3, 4}, [4, 0, 1, 7, 1, 0], [4, 1, 1, 6, 0, 0]], [{3, 4}, [5, 0, 6, 1, 0, 1], [5, 1, 5, 1, 0, 0]], [{3, 4}, [7, 2, 1, 2, 0, 1], [7, 2, 2, 1, 0, 0]], [{3, 4}, [2, 3, 1, 6, 0, 1], [2, 3, 2, 5, 0, 0]], [{3, 4}, [3, 0, 7, 1, 1, 1], [3, 1, 6, 1, 1, 0]], [{3, 4}, [3, 2, 1, 6, 0, 1], [3, 2, 2, 5, 0, 0]], [{3, 4}, [4, 5, 1, 2, 0, 1], [4, 5, 2, 1, 0, 0]], [{3, 4}, [9, 0, 2, 1, 0, 1], [9, 1, 1, 1, 0, 0]], [{3, 4}, [2, 0, 6, 1, 3, 1], [2, 1, 5, 1, 3, 0]], [{3, 4}, [6, 0, 1, 5, 1, 0], [6, 1, 1, 4, 0, 0]], [{3, 4}, [5, 0, 3, 1, 3, 1], [5, 1, 2, 1, 3, 0]], [{3, 4}, [6, 0, 3, 1, 2, 1], [6, 1, 2, 1, 2, 0]], [{3, 4}, [7, 0, 4, 1, 0, 1], [7, 1, 3, 1, 0, 0]], [{3, 4}, [5, 3, 1, 3, 0, 1], [5, 3, 2, 2, 0, 0]], [{3, 4}, [4, 1, 1, 6, 0, 1], [4, 1, 2, 5, 0, 0]], [{3, 4}, [3, 0, 8, 1, 0, 1], [3, 1, 7, 1, 0, 0]], [{3, 4}, [5, 1, 1, 5, 0, 1], [5, 1, 2, 4, 0, 0]], [{3, 4}, [4, 2, 1, 5, 0, 1], [4, 2, 2, 4, 0, 0]], [{3, 4}, [8, 0, 3, 1, 0, 1], [8, 1, 2, 1, 0, 0]], [{3, 4}, [6, 2, 1, 3, 0, 1], [6, 2, 2, 2, 0, 0]], [{3, 4}, [5, 0, 5, 1, 1, 1], [5, 1, 4, 1, 1, 0]], [{3, 4}, [3, 0, 7, 1, 0, 2], [3, 1, 6, 1, 0, 1]], [{3, 4}, [4, 0, 6, 1, 0, 2], [4, 1, 5, 1, 0, 1]], [{3, 4}, [5, 1, 5, 1, 0, 1], [5, 2, 4, 1, 0, 0]], [{3, 4}, [2, 0, 1, 8, 0, 2], [2, 0, 2, 7, 0, 1]], [{3, 4}, [7, 1, 1, 3, 0, 1], [7, 1, 2, 2, 0, 0]], [{3, 4}, [7, 0, 3, 2, 0, 1], [7, 1, 2, 2, 0, 0]]} For position , [7, 0, 1, 3, 2, 0], and roll, {3, 5}, the best moves are {[7, 1, 1, 3, 0, 0]} For position , [6, 0, 1, 4, 2, 0], and roll, {3, 5}, the best moves are {[6, 1, 1, 4, 0, 0]} For position , [5, 0, 1, 5, 2, 0], and roll, {3, 5}, the best moves are {[5, 1, 1, 5, 0, 0]} For position , [4, 0, 1, 6, 2, 0], and roll, {3, 5}, the best moves are {[4, 1, 1, 6, 0, 0]} For position , [3, 0, 1, 7, 2, 0], and roll, {3, 5}, the best moves are {[3, 1, 1, 7, 0, 0]} For position , [2, 0, 1, 8, 2, 0], and roll, {3, 5}, the best moves are {[2, 1, 1, 8, 0, 0]} For position , [9, 0, 2, 0, 2, 0], and roll, {3, 5}, the best moves are {[9, 1, 2, 0, 0, 0]} For position , [8, 0, 3, 0, 2, 0], and roll, {3, 5}, the best moves are {[8, 1, 3, 0, 0, 0]} For position , [7, 0, 4, 0, 2, 0], and roll, {3, 5}, the best moves are {[7, 1, 4, 0, 0, 0]} For position , [6, 0, 5, 0, 2, 0], and roll, {3, 5}, the best moves are {[6, 1, 5, 0, 0, 0]} For position , [5, 0, 6, 0, 2, 0], and roll, {3, 5}, the best moves are {[5, 1, 6, 0, 0, 0]} For position , [2, 5, 1, 3, 1, 1], and roll, {3, 5}, the best moves are {[2, 5, 2, 3, 0, 0]} For position , [3, 4, 1, 3, 1, 1], and roll, {3, 5}, the best moves are {[3, 4, 2, 3, 0, 0]} For position , [4, 3, 1, 3, 1, 1], and roll, {3, 5}, the best moves are {[4, 3, 2, 3, 0, 0]} For position , [5, 2, 1, 3, 1, 1], and roll, {3, 5}, the best moves are {[5, 2, 2, 3, 0, 0]} For position , [6, 1, 1, 3, 1, 1], and roll, {3, 5}, the best moves are {[6, 1, 2, 3, 0, 0]} For position , [3, 3, 1, 4, 1, 1], and roll, {3, 5}, the best moves are {[3, 3, 2, 4, 0, 0]} For position , [4, 2, 1, 4, 1, 1], and roll, {3, 5}, the best moves are {[4, 2, 2, 4, 0, 0]} For position , [5, 1, 1, 4, 1, 1], and roll, {3, 5}, the best moves are {[5, 1, 2, 4, 0, 0]} For position , [2, 4, 1, 4, 1, 1], and roll, {3, 5}, the best moves are {[2, 4, 2, 4, 0, 0]} For position , [4, 0, 1, 6, 1, 1], and roll, {3, 5}, the best moves are {[4, 0, 2, 6, 0, 0]} For position , [2, 3, 1, 5, 1, 1], and roll, {3, 5}, the best moves are {[2, 3, 2, 5, 0, 0]} For position , [3, 2, 1, 5, 1, 1], and roll, {3, 5}, the best moves are {[3, 2, 2, 5, 0, 0]} For position , [4, 1, 1, 5, 1, 1], and roll, {3, 5}, the best moves are {[4, 1, 2, 5, 0, 0]} For position , [2, 2, 1, 6, 1, 1], and roll, {3, 5}, the best moves are {[2, 2, 2, 6, 0, 0]} For position , [3, 1, 1, 6, 1, 1], and roll, {3, 5}, the best moves are {[3, 1, 2, 6, 0, 0]} For position , [2, 1, 1, 7, 1, 1], and roll, {3, 5}, the best moves are {[2, 1, 2, 7, 0, 0]} For position , [2, 0, 1, 8, 1, 1], and roll, {3, 5}, the best moves are {[2, 0, 2, 8, 0, 0]} For position , [3, 0, 1, 7, 1, 1], and roll, {3, 5}, the best moves are {[3, 0, 2, 7, 0, 0]} For position , [3, 6, 1, 1, 1, 1], and roll, {3, 5}, the best moves are {[3, 6, 2, 1, 0, 0]} For position , [7, 1, 1, 2, 1, 1], and roll, {3, 5}, the best moves are {[7, 1, 2, 2, 0, 0]} For position , [4, 5, 1, 1, 1, 1], and roll, {3, 5}, the best moves are {[4, 5, 2, 1, 0, 0]} For position , [5, 4, 1, 1, 1, 1], and roll, {3, 5}, the best moves are {[5, 4, 2, 1, 0, 0]} For position , [6, 3, 1, 1, 1, 1], and roll, {3, 5}, the best moves are {[6, 3, 2, 1, 0, 0]} For position , [7, 2, 1, 1, 1, 1], and roll, {3, 5}, the best moves are {[7, 2, 2, 1, 0, 0]} For position , [3, 5, 1, 2, 1, 1], and roll, {3, 5}, the best moves are {[3, 5, 2, 2, 0, 0]} For position , [4, 4, 1, 2, 1, 1], and roll, {3, 5}, the best moves are {[4, 4, 2, 2, 0, 0]} For position , [5, 3, 1, 2, 1, 1], and roll, {3, 5}, the best moves are {[5, 3, 2, 2, 0, 0]} For position , [6, 2, 1, 2, 1, 1], and roll, {3, 5}, the best moves are {[6, 2, 2, 2, 0, 0]} For position , [2, 0, 1, 7, 1, 2], and roll, {3, 5}, the best moves are {[2, 0, 2, 7, 0, 1]} For position , [2, 1, 1, 6, 1, 2], and roll, {3, 5}, the best moves are {[2, 1, 2, 6, 0, 1]} For position , [3, 0, 1, 6, 1, 2], and roll, {3, 5}, the best moves are {[3, 0, 2, 6, 0, 1]} When the roll was, {3, 5}, and there were, 13, checkers , the exceptions to greedy play were {[{3, 5}, [2, 5, 1, 3, 1, 1], [2, 5, 2, 3, 0, 0]], [{3, 5}, [5, 0, 6, 0, 2, 0], [5, 1, 6, 0, 0, 0]], [{3, 5}, [4, 2, 1, 4, 1, 1], [4, 2, 2, 4, 0, 0]], [{3, 5}, [2, 2, 1, 6, 1, 1], [2, 2, 2, 6, 0, 0]], [{3, 5}, [3, 3, 1, 4, 1, 1], [3, 3, 2, 4, 0, 0]], [{3, 5}, [6, 0, 1, 4, 2, 0], [6, 1, 1, 4, 0, 0]], [{3, 5}, [5, 1, 1, 4, 1, 1], [5, 1, 2, 4, 0, 0]], [{3, 5}, [4, 5, 1, 1, 1, 1], [4, 5, 2, 1, 0, 0]], [{3, 5}, [2, 4, 1, 4, 1, 1], [2, 4, 2, 4, 0, 0]], [{3, 5}, [4, 0, 1, 6, 1, 1], [4, 0, 2, 6, 0, 0]], [{3, 5}, [3, 1, 1, 6, 1, 1], [3, 1, 2, 6, 0, 0]], [{3, 5}, [6, 1, 1, 3, 1, 1], [6, 1, 2, 3, 0, 0]], [{3, 5}, [2, 1, 1, 7, 1, 1], [2, 1, 2, 7, 0, 0]], [{3, 5}, [2, 0, 1, 8, 1, 1], [2, 0, 2, 8, 0, 0]], [{3, 5}, [4, 0, 1, 6, 2, 0], [4, 1, 1, 6, 0, 0]], [{3, 5}, [3, 5, 1, 2, 1, 1], [3, 5, 2, 2, 0, 0]], [{3, 5}, [4, 4, 1, 2, 1, 1], [4, 4, 2, 2, 0, 0]], [{3, 5}, [2, 0, 1, 7, 1, 2], [2, 0, 2, 7, 0, 1]], [{3, 5}, [7, 0, 1, 3, 2, 0], [7, 1, 1, 3, 0, 0]], [{3, 5}, [4, 3, 1, 3, 1, 1], [4, 3, 2, 3, 0, 0]], [{3, 5}, [5, 0, 1, 5, 2, 0], [5, 1, 1, 5, 0, 0]], [{3, 5}, [2, 0, 1, 8, 2, 0], [2, 1, 1, 8, 0, 0]], [{3, 5}, [3, 0, 1, 7, 2, 0], [3, 1, 1, 7, 0, 0]], [{3, 5}, [6, 0, 5, 0, 2, 0], [6, 1, 5, 0, 0, 0]], [{3, 5}, [7, 0, 4, 0, 2, 0], [7, 1, 4, 0, 0, 0]], [{3, 5}, [8, 0, 3, 0, 2, 0], [8, 1, 3, 0, 0, 0]], [{3, 5}, [9, 0, 2, 0, 2, 0], [9, 1, 2, 0, 0, 0]], [{3, 5}, [5, 2, 1, 3, 1, 1], [5, 2, 2, 3, 0, 0]], [{3, 5}, [3, 4, 1, 3, 1, 1], [3, 4, 2, 3, 0, 0]], [{3, 5}, [2, 3, 1, 5, 1, 1], [2, 3, 2, 5, 0, 0]], [{3, 5}, [4, 1, 1, 5, 1, 1], [4, 1, 2, 5, 0, 0]], [{3, 5}, [3, 2, 1, 5, 1, 1], [3, 2, 2, 5, 0, 0]], [{3, 5}, [7, 1, 1, 2, 1, 1], [7, 1, 2, 2, 0, 0]], [{3, 5}, [6, 3, 1, 1, 1, 1], [6, 3, 2, 1, 0, 0]], [{3, 5}, [5, 4, 1, 1, 1, 1], [5, 4, 2, 1, 0, 0]], [{3, 5}, [7, 2, 1, 1, 1, 1], [7, 2, 2, 1, 0, 0]], [{3, 5}, [5, 3, 1, 2, 1, 1], [5, 3, 2, 2, 0, 0]], [{3, 5}, [6, 2, 1, 2, 1, 1], [6, 2, 2, 2, 0, 0]], [{3, 5}, [3, 0, 1, 6, 1, 2], [3, 0, 2, 6, 0, 1]], [{3, 5}, [2, 1, 1, 6, 1, 2], [2, 1, 2, 6, 0, 1]], [{3, 5}, [3, 0, 1, 7, 1, 1], [3, 0, 2, 7, 0, 0]], [{3, 5}, [3, 6, 1, 1, 1, 1], [3, 6, 2, 1, 0, 0]]} For position , [7, 0, 1, 3, 1, 1], and roll, {3, 6}, the best moves are {[7, 1, 1, 3, 0, 0]} For position , [6, 0, 1, 4, 1, 1], and roll, {3, 6}, the best moves are {[6, 1, 1, 4, 0, 0]} For position , [4, 0, 1, 6, 1, 1], and roll, {3, 6}, the best moves are {[4, 1, 1, 6, 0, 0]} For position , [5, 0, 1, 5, 1, 1], and roll, {3, 6}, the best moves are {[5, 1, 1, 5, 0, 0]} For position , [9, 0, 2, 0, 1, 1], and roll, {3, 6}, the best moves are {[9, 1, 2, 0, 0, 0]} For position , [2, 0, 1, 8, 1, 1], and roll, {3, 6}, the best moves are {[2, 1, 1, 8, 0, 0]} For position , [3, 0, 1, 7, 1, 1], and roll, {3, 6}, the best moves are {[3, 1, 1, 7, 0, 0]} For position , [5, 0, 6, 0, 1, 1], and roll, {3, 6}, the best moves are {[5, 1, 6, 0, 0, 0]} For position , [6, 0, 5, 0, 1, 1], and roll, {3, 6}, the best moves are {[6, 1, 5, 0, 0, 0]} For position , [7, 0, 4, 0, 1, 1], and roll, {3, 6}, the best moves are {[7, 1, 4, 0, 0, 0]} For position , [8, 0, 3, 0, 1, 1], and roll, {3, 6}, the best moves are {[8, 1, 3, 0, 0, 0]} For position , [3, 6, 1, 1, 0, 2], and roll, {3, 6}, the best moves are {[3, 6, 2, 1, 0, 0]} For position , [5, 3, 1, 2, 0, 2], and roll, {3, 6}, the best moves are {[5, 3, 2, 2, 0, 0]} For position , [6, 2, 1, 2, 0, 2], and roll, {3, 6}, the best moves are {[6, 2, 2, 2, 0, 0]} For position , [7, 1, 1, 2, 0, 2], and roll, {3, 6}, the best moves are {[7, 1, 2, 2, 0, 0]} For position , [4, 5, 1, 1, 0, 2], and roll, {3, 6}, the best moves are {[4, 5, 2, 1, 0, 0]} For position , [5, 4, 1, 1, 0, 2], and roll, {3, 6}, the best moves are {[5, 4, 2, 1, 0, 0]} For position , [6, 3, 1, 1, 0, 2], and roll, {3, 6}, the best moves are {[6, 3, 2, 1, 0, 0]} For position , [7, 2, 1, 1, 0, 2], and roll, {3, 6}, the best moves are {[7, 2, 2, 1, 0, 0]} For position , [3, 5, 1, 2, 0, 2], and roll, {3, 6}, the best moves are {[3, 5, 2, 2, 0, 0]} For position , [4, 4, 1, 2, 0, 2], and roll, {3, 6}, the best moves are {[4, 4, 2, 2, 0, 0]} For position , [2, 5, 1, 3, 0, 2], and roll, {3, 6}, the best moves are {[2, 5, 2, 3, 0, 0]} For position , [3, 4, 1, 3, 0, 2], and roll, {3, 6}, the best moves are {[3, 4, 2, 3, 0, 0]} For position , [4, 3, 1, 3, 0, 2], and roll, {3, 6}, the best moves are {[4, 3, 2, 3, 0, 0]} For position , [5, 2, 1, 3, 0, 2], and roll, {3, 6}, the best moves are {[5, 2, 2, 3, 0, 0]} For position , [6, 1, 1, 3, 0, 2], and roll, {3, 6}, the best moves are {[6, 1, 2, 3, 0, 0]} For position , [2, 0, 1, 8, 0, 2], and roll, {3, 6}, the best moves are {[2, 0, 2, 8, 0, 0]} For position , [3, 0, 1, 7, 0, 2], and roll, {3, 6}, the best moves are {[3, 0, 2, 7, 0, 0]} For position , [2, 2, 1, 6, 0, 2], and roll, {3, 6}, the best moves are {[2, 2, 2, 6, 0, 0]} For position , [3, 1, 1, 6, 0, 2], and roll, {3, 6}, the best moves are {[3, 1, 2, 6, 0, 0]} For position , [4, 0, 1, 6, 0, 2], and roll, {3, 6}, the best moves are {[4, 0, 2, 6, 0, 0]} For position , [4, 1, 1, 5, 0, 2], and roll, {3, 6}, the best moves are {[4, 1, 2, 5, 0, 0]} For position , [2, 3, 1, 5, 0, 2], and roll, {3, 6}, the best moves are {[2, 3, 2, 5, 0, 0]} For position , [3, 2, 1, 5, 0, 2], and roll, {3, 6}, the best moves are {[3, 2, 2, 5, 0, 0]} For position , [2, 4, 1, 4, 0, 2], and roll, {3, 6}, the best moves are {[2, 4, 2, 4, 0, 0]} For position , [3, 3, 1, 4, 0, 2], and roll, {3, 6}, the best moves are {[3, 3, 2, 4, 0, 0]} For position , [4, 2, 1, 4, 0, 2], and roll, {3, 6}, the best moves are {[4, 2, 2, 4, 0, 0]} For position , [5, 1, 1, 4, 0, 2], and roll, {3, 6}, the best moves are {[5, 1, 2, 4, 0, 0]} For position , [2, 1, 1, 7, 0, 2], and roll, {3, 6}, the best moves are {[2, 1, 2, 7, 0, 0]} For position , [3, 0, 1, 6, 0, 3], and roll, {3, 6}, the best moves are {[3, 0, 2, 6, 0, 1]} For position , [2, 1, 1, 6, 0, 3], and roll, {3, 6}, the best moves are {[2, 1, 2, 6, 0, 1]} For position , [2, 0, 1, 7, 0, 3], and roll, {3, 6}, the best moves are {[2, 0, 2, 7, 0, 1]} When the roll was, {3, 6}, and there were, 13, checkers , the exceptions to greedy play were {[{3, 6}, [5, 0, 1, 5, 1, 1], [5, 1, 1, 5, 0, 0]], [{3, 6}, [3, 0, 1, 7, 1, 1], [3, 1, 1, 7, 0, 0]], [{3, 6}, [2, 0, 1, 8, 1, 1], [2, 1, 1, 8, 0, 0]], [{3, 6}, [2, 0, 1, 8, 0, 2], [2, 0, 2, 8, 0, 0]], [{3, 6}, [9, 0, 2, 0, 1, 1], [9, 1, 2, 0, 0, 0]], [{3, 6}, [8, 0, 3, 0, 1, 1], [8, 1, 3, 0, 0, 0]], [{3, 6}, [7, 0, 4, 0, 1, 1], [7, 1, 4, 0, 0, 0]], [{3, 6}, [6, 0, 5, 0, 1, 1], [6, 1, 5, 0, 0, 0]], [{3, 6}, [3, 0, 1, 7, 0, 2], [3, 0, 2, 7, 0, 0]], [{3, 6}, [6, 2, 1, 2, 0, 2], [6, 2, 2, 2, 0, 0]], [{3, 6}, [5, 3, 1, 2, 0, 2], [5, 3, 2, 2, 0, 0]], [{3, 6}, [5, 4, 1, 1, 0, 2], [5, 4, 2, 1, 0, 0]], [{3, 6}, [7, 1, 1, 2, 0, 2], [7, 1, 2, 2, 0, 0]], [{3, 6}, [3, 1, 1, 6, 0, 2], [3, 1, 2, 6, 0, 0]], [{3, 6}, [4, 4, 1, 2, 0, 2], [4, 4, 2, 2, 0, 0]], [{3, 6}, [3, 5, 1, 2, 0, 2], [3, 5, 2, 2, 0, 0]], [{3, 6}, [7, 2, 1, 1, 0, 2], [7, 2, 2, 1, 0, 0]], [{3, 6}, [6, 3, 1, 1, 0, 2], [6, 3, 2, 1, 0, 0]], [{3, 6}, [5, 2, 1, 3, 0, 2], [5, 2, 2, 3, 0, 0]], [{3, 6}, [4, 0, 1, 6, 0, 2], [4, 0, 2, 6, 0, 0]], [{3, 6}, [4, 3, 1, 3, 0, 2], [4, 3, 2, 3, 0, 0]], [{3, 6}, [3, 4, 1, 3, 0, 2], [3, 4, 2, 3, 0, 0]], [{3, 6}, [2, 5, 1, 3, 0, 2], [2, 5, 2, 3, 0, 0]], [{3, 6}, [6, 1, 1, 3, 0, 2], [6, 1, 2, 3, 0, 0]], [{3, 6}, [4, 1, 1, 5, 0, 2], [4, 1, 2, 5, 0, 0]], [{3, 6}, [2, 2, 1, 6, 0, 2], [2, 2, 2, 6, 0, 0]], [{3, 6}, [3, 2, 1, 5, 0, 2], [3, 2, 2, 5, 0, 0]], [{3, 6}, [2, 3, 1, 5, 0, 2], [2, 3, 2, 5, 0, 0]], [{3, 6}, [2, 4, 1, 4, 0, 2], [2, 4, 2, 4, 0, 0]], [{3, 6}, [3, 3, 1, 4, 0, 2], [3, 3, 2, 4, 0, 0]], [{3, 6}, [3, 0, 1, 6, 0, 3], [3, 0, 2, 6, 0, 1]], [{3, 6}, [4, 2, 1, 4, 0, 2], [4, 2, 2, 4, 0, 0]], [{3, 6}, [2, 1, 1, 6, 0, 3], [2, 1, 2, 6, 0, 1]], [{3, 6}, [5, 1, 1, 4, 0, 2], [5, 1, 2, 4, 0, 0]], [{3, 6}, [2, 1, 1, 7, 0, 2], [2, 1, 2, 7, 0, 0]], [{3, 6}, [2, 0, 1, 7, 0, 3], [2, 0, 2, 7, 0, 1]], [{3, 6}, [5, 0, 6, 0, 1, 1], [5, 1, 6, 0, 0, 0]], [{3, 6}, [3, 6, 1, 1, 0, 2], [3, 6, 2, 1, 0, 0]], [{3, 6}, [4, 5, 1, 1, 0, 2], [4, 5, 2, 1, 0, 0]], [{3, 6}, [4, 0, 1, 6, 1, 1], [4, 1, 1, 6, 0, 0]], [{3, 6}, [7, 0, 1, 3, 1, 1], [7, 1, 1, 3, 0, 0]], [{3, 6}, [6, 0, 1, 4, 1, 1], [6, 1, 1, 4, 0, 0]]} For position , [4, 0, 5, 2, 1, 1], and roll, {4, 5}, the best moves are {[4, 1, 5, 2, 0, 0]} For position , [5, 0, 4, 2, 1, 1], and roll, {4, 5}, the best moves are {[5, 1, 4, 2, 0, 0]} For position , [2, 0, 5, 1, 4, 1], and roll, {4, 5}, the best moves are {[2, 1, 5, 1, 3, 0]} For position , [3, 0, 4, 1, 4, 1], and roll, {4, 5}, the best moves are {[3, 1, 4, 1, 3, 0]} For position , [4, 0, 3, 1, 4, 1], and roll, {4, 5}, the best moves are {[4, 1, 3, 1, 3, 0]} For position , [5, 0, 2, 1, 4, 1], and roll, {4, 5}, the best moves are {[5, 1, 2, 1, 3, 0]} For position , [4, 0, 5, 1, 2, 1], and roll, {4, 5}, the best moves are {[4, 1, 5, 1, 1, 0]} For position , [5, 0, 4, 1, 2, 1], and roll, {4, 5}, the best moves are {[5, 1, 4, 1, 1, 0]} For position , [3, 0, 6, 1, 2, 1], and roll, {4, 5}, the best moves are {[3, 1, 6, 1, 1, 0]} For position , [2, 0, 4, 1, 5, 1], and roll, {4, 5}, the best moves are {[2, 1, 4, 1, 4, 0]} For position , [3, 0, 3, 1, 5, 1], and roll, {4, 5}, the best moves are {[3, 1, 3, 1, 4, 0]} For position , [1, 0, 4, 1, 6, 1], and roll, {4, 5}, the best moves are {[1, 1, 4, 1, 5, 0]} For position , [2, 0, 3, 1, 6, 1], and roll, {4, 5}, the best moves are {[2, 1, 3, 1, 5, 0]} For position , [3, 0, 2, 1, 6, 1], and roll, {4, 5}, the best moves are {[3, 1, 2, 1, 5, 0]} For position , [4, 0, 2, 1, 5, 1], and roll, {4, 5}, the best moves are {[4, 1, 2, 1, 4, 0]} For position , [2, 0, 2, 1, 7, 1], and roll, {4, 5}, the best moves are {[2, 1, 2, 1, 6, 0]} For position , [3, 0, 5, 1, 3, 1], and roll, {4, 5}, the best moves are {[3, 1, 5, 1, 2, 0]} For position , [4, 0, 4, 1, 3, 1], and roll, {4, 5}, the best moves are {[4, 1, 4, 1, 2, 0]} For position , [5, 1, 4, 1, 1, 1], and roll, {4, 5}, the best moves are {[5, 2, 4, 1, 0, 0]} For position , [6, 0, 4, 1, 1, 1], and roll, {4, 5}, the best moves are {[6, 1, 4, 1, 0, 0]} For position , [3, 0, 7, 1, 1, 1], and roll, {4, 5}, the best moves are {[3, 1, 7, 1, 0, 0]} For position , [4, 0, 6, 1, 1, 1], and roll, {4, 5}, the best moves are {[4, 1, 6, 1, 0, 0]} For position , [8, 0, 1, 2, 1, 1], and roll, {4, 5}, the best moves are {[8, 1, 1, 2, 0, 0]} For position , [6, 0, 3, 2, 1, 1], and roll, {4, 5}, the best moves are {[6, 1, 3, 2, 0, 0]} For position , [2, 0, 6, 1, 3, 1], and roll, {4, 5}, the best moves are {[2, 1, 6, 1, 2, 0]} For position , [5, 0, 3, 1, 3, 1], and roll, {4, 5}, the best moves are {[5, 1, 3, 1, 2, 0]} For position , [6, 0, 2, 1, 3, 1], and roll, {4, 5}, the best moves are {[6, 1, 2, 1, 2, 0]} For position , [9, 0, 1, 1, 1, 1], and roll, {4, 5}, the best moves are {[9, 1, 1, 1, 0, 0]} For position , [5, 0, 5, 1, 1, 1], and roll, {4, 5}, the best moves are {[5, 1, 5, 1, 0, 0]} For position , [7, 0, 3, 1, 1, 1], and roll, {4, 5}, the best moves are {[7, 1, 3, 1, 0, 0]} For position , [8, 0, 2, 1, 1, 1], and roll, {4, 5}, the best moves are {[8, 1, 2, 1, 0, 0]} For position , [7, 0, 2, 2, 1, 1], and roll, {4, 5}, the best moves are {[7, 1, 2, 2, 0, 0]} For position , [4, 0, 5, 1, 1, 2], and roll, {4, 5}, the best moves are {[4, 1, 5, 1, 0, 1]} For position , [3, 0, 6, 1, 1, 2], and roll, {4, 5}, the best moves are {[3, 1, 6, 1, 0, 1]} When the roll was, {4, 5}, and there were, 13, checkers , the exceptions to greedy play were {[{4, 5}, [3, 0, 6, 1, 1, 2], [3, 1, 6, 1, 0, 1]], [{4, 5}, [4, 0, 5, 2, 1, 1], [4, 1, 5, 2, 0, 0]], [{4, 5}, [5, 0, 4, 2, 1, 1], [5, 1, 4, 2, 0, 0]], [{4, 5}, [2, 0, 5, 1, 4, 1], [2, 1, 5, 1, 3, 0]], [{4, 5}, [3, 0, 4, 1, 4, 1], [3, 1, 4, 1, 3, 0]], [{4, 5}, [2, 0, 2, 1, 7, 1], [2, 1, 2, 1, 6, 0]], [{4, 5}, [4, 0, 3, 1, 4, 1], [4, 1, 3, 1, 3, 0]], [{4, 5}, [2, 0, 3, 1, 6, 1], [2, 1, 3, 1, 5, 0]], [{4, 5}, [5, 0, 4, 1, 2, 1], [5, 1, 4, 1, 1, 0]], [{4, 5}, [3, 0, 6, 1, 2, 1], [3, 1, 6, 1, 1, 0]], [{4, 5}, [7, 0, 2, 2, 1, 1], [7, 1, 2, 2, 0, 0]], [{4, 5}, [5, 0, 3, 1, 3, 1], [5, 1, 3, 1, 2, 0]], [{4, 5}, [3, 0, 3, 1, 5, 1], [3, 1, 3, 1, 4, 0]], [{4, 5}, [3, 0, 2, 1, 6, 1], [3, 1, 2, 1, 5, 0]], [{4, 5}, [3, 0, 5, 1, 3, 1], [3, 1, 5, 1, 2, 0]], [{4, 5}, [4, 0, 2, 1, 5, 1], [4, 1, 2, 1, 4, 0]], [{4, 5}, [4, 0, 4, 1, 3, 1], [4, 1, 4, 1, 2, 0]], [{4, 5}, [3, 0, 7, 1, 1, 1], [3, 1, 7, 1, 0, 0]], [{4, 5}, [4, 0, 6, 1, 1, 1], [4, 1, 6, 1, 0, 0]], [{4, 5}, [2, 0, 6, 1, 3, 1], [2, 1, 6, 1, 2, 0]], [{4, 5}, [5, 0, 5, 1, 1, 1], [5, 1, 5, 1, 0, 0]], [{4, 5}, [8, 0, 1, 2, 1, 1], [8, 1, 1, 2, 0, 0]], [{4, 5}, [4, 0, 5, 1, 1, 2], [4, 1, 5, 1, 0, 1]], [{4, 5}, [6, 0, 2, 1, 3, 1], [6, 1, 2, 1, 2, 0]], [{4, 5}, [5, 1, 4, 1, 1, 1], [5, 2, 4, 1, 0, 0]], [{4, 5}, [9, 0, 1, 1, 1, 1], [9, 1, 1, 1, 0, 0]], [{4, 5}, [6, 0, 4, 1, 1, 1], [6, 1, 4, 1, 0, 0]], [{4, 5}, [1, 0, 4, 1, 6, 1], [1, 1, 4, 1, 5, 0]], [{4, 5}, [5, 0, 2, 1, 4, 1], [5, 1, 2, 1, 3, 0]], [{4, 5}, [7, 0, 3, 1, 1, 1], [7, 1, 3, 1, 0, 0]], [{4, 5}, [2, 0, 4, 1, 5, 1], [2, 1, 4, 1, 4, 0]], [{4, 5}, [8, 0, 2, 1, 1, 1], [8, 1, 2, 1, 0, 0]], [{4, 5}, [6, 0, 3, 2, 1, 1], [6, 1, 3, 2, 0, 0]], [{4, 5}, [4, 0, 5, 1, 2, 1], [4, 1, 5, 1, 1, 0]]} For position , [1, 0, 4, 1, 5, 2], and roll, {4, 6}, the best moves are {[1, 1, 4, 1, 5, 0]} For position , [2, 0, 3, 1, 5, 2], and roll, {4, 6}, the best moves are {[2, 1, 3, 1, 5, 0]} For position , [3, 0, 2, 1, 5, 2], and roll, {4, 6}, the best moves are {[3, 1, 2, 1, 5, 0]} For position , [8, 0, 2, 1, 0, 2], and roll, {4, 6}, the best moves are {[8, 1, 2, 1, 0, 0]} For position , [3, 0, 7, 1, 0, 2], and roll, {4, 6}, the best moves are {[3, 1, 7, 1, 0, 0]} For position , [5, 1, 4, 1, 0, 2], and roll, {4, 6}, the best moves are {[5, 2, 4, 1, 0, 0]} For position , [6, 0, 4, 1, 0, 2], and roll, {4, 6}, the best moves are {[6, 1, 4, 1, 0, 0]} For position , [4, 0, 6, 1, 0, 2], and roll, {4, 6}, the best moves are {[4, 1, 6, 1, 0, 0]} For position , [2, 0, 6, 1, 2, 2], and roll, {4, 6}, the best moves are {[2, 1, 6, 1, 2, 0]} For position , [6, 0, 2, 1, 2, 2], and roll, {4, 6}, the best moves are {[6, 1, 2, 1, 2, 0]} For position , [3, 0, 5, 1, 2, 2], and roll, {4, 6}, the best moves are {[3, 1, 5, 1, 2, 0]} For position , [4, 0, 4, 1, 2, 2], and roll, {4, 6}, the best moves are {[4, 1, 4, 1, 2, 0]} For position , [2, 0, 2, 1, 6, 2], and roll, {4, 6}, the best moves are {[2, 1, 2, 1, 6, 0]} For position , [7, 0, 2, 2, 0, 2], and roll, {4, 6}, the best moves are {[7, 1, 2, 2, 0, 0]} For position , [8, 0, 1, 2, 0, 2], and roll, {4, 6}, the best moves are {[8, 1, 1, 2, 0, 0]} For position , [2, 0, 5, 1, 3, 2], and roll, {4, 6}, the best moves are {[2, 1, 5, 1, 3, 0]} For position , [6, 0, 3, 2, 0, 2], and roll, {4, 6}, the best moves are {[6, 1, 3, 2, 0, 0]} For position , [9, 0, 1, 1, 0, 2], and roll, {4, 6}, the best moves are {[9, 1, 1, 1, 0, 0]} For position , [3, 0, 4, 1, 3, 2], and roll, {4, 6}, the best moves are {[3, 1, 4, 1, 3, 0]} For position , [4, 0, 3, 1, 3, 2], and roll, {4, 6}, the best moves are {[4, 1, 3, 1, 3, 0]} For position , [5, 0, 2, 1, 3, 2], and roll, {4, 6}, the best moves are {[5, 1, 2, 1, 3, 0]} For position , [5, 0, 5, 1, 0, 2], and roll, {4, 6}, the best moves are {[5, 1, 5, 1, 0, 0]} For position , [7, 0, 3, 1, 0, 2], and roll, {4, 6}, the best moves are {[7, 1, 3, 1, 0, 0]} For position , [4, 0, 5, 2, 0, 2], and roll, {4, 6}, the best moves are {[4, 1, 5, 2, 0, 0]} For position , [5, 0, 4, 2, 0, 2], and roll, {4, 6}, the best moves are {[5, 1, 4, 2, 0, 0]} For position , [4, 0, 5, 1, 1, 2], and roll, {4, 6}, the best moves are {[4, 1, 5, 1, 1, 0]} For position , [5, 0, 4, 1, 1, 2], and roll, {4, 6}, the best moves are {[5, 1, 4, 1, 1, 0]} For position , [2, 0, 4, 1, 4, 2], and roll, {4, 6}, the best moves are {[2, 1, 4, 1, 4, 0]} For position , [3, 0, 3, 1, 4, 2], and roll, {4, 6}, the best moves are {[3, 1, 3, 1, 4, 0]} For position , [3, 0, 6, 1, 1, 2], and roll, {4, 6}, the best moves are {[3, 1, 6, 1, 1, 0]} For position , [4, 0, 2, 1, 4, 2], and roll, {4, 6}, the best moves are {[4, 1, 2, 1, 4, 0]} For position , [3, 0, 6, 1, 0, 3], and roll, {4, 6}, the best moves are {[3, 1, 6, 1, 0, 1]} For position , [4, 0, 5, 1, 0, 3], and roll, {4, 6}, the best moves are {[4, 1, 5, 1, 0, 1]} For position , [5, 0, 3, 1, 2, 2], and roll, {4, 6}, the best moves are {[5, 1, 3, 1, 2, 0]} When the roll was, {4, 6}, and there were, 13, checkers , the exceptions to greedy play were {[{4, 6}, [3, 0, 6, 1, 0, 3], [3, 1, 6, 1, 0, 1]], [{4, 6}, [5, 0, 2, 1, 3, 2], [5, 1, 2, 1, 3, 0]], [{4, 6}, [6, 0, 3, 2, 0, 2], [6, 1, 3, 2, 0, 0]], [{4, 6}, [7, 0, 3, 1, 0, 2], [7, 1, 3, 1, 0, 0]], [{4, 6}, [4, 0, 5, 2, 0, 2], [4, 1, 5, 2, 0, 0]], [{4, 6}, [5, 0, 4, 1, 1, 2], [5, 1, 4, 1, 1, 0]], [{4, 6}, [5, 0, 4, 2, 0, 2], [5, 1, 4, 2, 0, 0]], [{4, 6}, [2, 0, 6, 1, 2, 2], [2, 1, 6, 1, 2, 0]], [{4, 6}, [9, 0, 1, 1, 0, 2], [9, 1, 1, 1, 0, 0]], [{4, 6}, [4, 0, 5, 1, 1, 2], [4, 1, 5, 1, 1, 0]], [{4, 6}, [2, 0, 2, 1, 6, 2], [2, 1, 2, 1, 6, 0]], [{4, 6}, [2, 0, 4, 1, 4, 2], [2, 1, 4, 1, 4, 0]], [{4, 6}, [5, 0, 3, 1, 2, 2], [5, 1, 3, 1, 2, 0]], [{4, 6}, [3, 0, 3, 1, 4, 2], [3, 1, 3, 1, 4, 0]], [{4, 6}, [7, 0, 2, 2, 0, 2], [7, 1, 2, 2, 0, 0]], [{4, 6}, [2, 0, 3, 1, 5, 2], [2, 1, 3, 1, 5, 0]], [{4, 6}, [3, 0, 2, 1, 5, 2], [3, 1, 2, 1, 5, 0]], [{4, 6}, [6, 0, 2, 1, 2, 2], [6, 1, 2, 1, 2, 0]], [{4, 6}, [1, 0, 4, 1, 5, 2], [1, 1, 4, 1, 5, 0]], [{4, 6}, [4, 0, 4, 1, 2, 2], [4, 1, 4, 1, 2, 0]], [{4, 6}, [8, 0, 1, 2, 0, 2], [8, 1, 1, 2, 0, 0]], [{4, 6}, [3, 0, 6, 1, 1, 2], [3, 1, 6, 1, 1, 0]], [{4, 6}, [4, 0, 2, 1, 4, 2], [4, 1, 2, 1, 4, 0]], [{4, 6}, [4, 0, 5, 1, 0, 3], [4, 1, 5, 1, 0, 1]], [{4, 6}, [3, 0, 7, 1, 0, 2], [3, 1, 7, 1, 0, 0]], [{4, 6}, [4, 0, 6, 1, 0, 2], [4, 1, 6, 1, 0, 0]], [{4, 6}, [8, 0, 2, 1, 0, 2], [8, 1, 2, 1, 0, 0]], [{4, 6}, [4, 0, 3, 1, 3, 2], [4, 1, 3, 1, 3, 0]], [{4, 6}, [5, 0, 5, 1, 0, 2], [5, 1, 5, 1, 0, 0]], [{4, 6}, [5, 1, 4, 1, 0, 2], [5, 2, 4, 1, 0, 0]], [{4, 6}, [6, 0, 4, 1, 0, 2], [6, 1, 4, 1, 0, 0]], [{4, 6}, [2, 0, 5, 1, 3, 2], [2, 1, 5, 1, 3, 0]], [{4, 6}, [3, 0, 4, 1, 3, 2], [3, 1, 4, 1, 3, 0]], [{4, 6}, [3, 0, 5, 1, 2, 2], [3, 1, 5, 1, 2, 0]]} For position , [3, 1, 5, 0, 4, 1], and roll, {1, 2}, the best moves are {[2, 1, 5, 1, 4, 0]} For position , [4, 1, 4, 0, 4, 1], and roll, {1, 2}, the best moves are {[3, 1, 4, 1, 4, 0]} For position , [4, 1, 2, 0, 6, 1], and roll, {1, 2}, the best moves are {[3, 1, 2, 1, 6, 0]} For position , [3, 1, 3, 0, 6, 1], and roll, {1, 2}, the best moves are {[2, 1, 3, 1, 6, 0]} For position , [2, 1, 4, 0, 6, 1], and roll, {1, 2}, the best moves are {[1, 1, 4, 1, 6, 0]} For position , [2, 1, 5, 0, 5, 1], and roll, {1, 2}, the best moves are {[1, 1, 5, 1, 5, 0]} For position , [4, 1, 3, 0, 5, 1], and roll, {1, 2}, the best moves are {[3, 1, 3, 1, 5, 0]} For position , [2, 1, 3, 0, 7, 1], and roll, {1, 2}, the best moves are {[1, 1, 3, 1, 7, 0]} For position , [3, 1, 2, 0, 7, 1], and roll, {1, 2}, the best moves are {[2, 1, 2, 1, 7, 0]} For position , [3, 1, 4, 0, 5, 1], and roll, {1, 2}, the best moves are {[2, 1, 4, 1, 5, 0]} When the roll was, {1, 2}, and there were, 14, checkers , the exceptions to greedy play were {[{1, 2}, [3, 1, 5, 0, 4, 1], [2, 1, 5, 1, 4, 0]], [{1, 2}, [4, 1, 3, 0, 5, 1], [3, 1, 3, 1, 5, 0]], [{1, 2}, [4, 1, 4, 0, 4, 1], [3, 1, 4, 1, 4, 0]], [{1, 2}, [3, 1, 3, 0, 6, 1], [2, 1, 3, 1, 6, 0]], [{1, 2}, [2, 1, 4, 0, 6, 1], [1, 1, 4, 1, 6, 0]], [{1, 2}, [2, 1, 3, 0, 7, 1], [1, 1, 3, 1, 7, 0]], [{1, 2}, [3, 1, 2, 0, 7, 1], [2, 1, 2, 1, 7, 0]], [{1, 2}, [3, 1, 4, 0, 5, 1], [2, 1, 4, 1, 5, 0]], [{1, 2}, [4, 1, 2, 0, 6, 1], [3, 1, 2, 1, 6, 0]], [{1, 2}, [2, 1, 5, 0, 5, 1], [1, 1, 5, 1, 5, 0]]} For position , [3, 0, 1, 8, 0, 2], and roll, {1, 3}, the best moves are {[2, 0, 2, 8, 0, 1]} For position , [5, 1, 1, 5, 0, 2], and roll, {1, 3}, the best moves are {[4, 1, 2, 5, 0, 1]} For position , [3, 1, 1, 7, 0, 2], and roll, {1, 3}, the best moves are {[2, 1, 2, 7, 0, 1]} For position , [4, 0, 1, 7, 0, 2], and roll, {1, 3}, the best moves are {[3, 0, 2, 7, 0, 1]} For position , [7, 0, 1, 5, 0, 1], and roll, {1, 3}, the best moves are {[6, 0, 2, 5, 0, 0]} For position , [5, 0, 1, 7, 0, 1], and roll, {1, 3}, the best moves are {[4, 0, 2, 7, 0, 0]} For position , [4, 1, 1, 7, 0, 1], and roll, {1, 3}, the best moves are {[3, 1, 2, 7, 0, 0]} For position , [3, 2, 1, 7, 0, 1], and roll, {1, 3}, the best moves are {[2, 2, 2, 7, 0, 0]} For position , [4, 0, 1, 8, 0, 1], and roll, {1, 3}, the best moves are {[3, 0, 2, 8, 0, 0]} For position , [3, 1, 1, 8, 0, 1], and roll, {1, 3}, the best moves are {[2, 1, 2, 8, 0, 0]} For position , [3, 0, 1, 9, 0, 1], and roll, {1, 3}, the best moves are {[2, 0, 2, 9, 0, 0]} For position , [2, 0, 1, 10, 0, 1], and roll, {1, 3}, the best moves are {[1, 0, 2, 10, 0, 0]} For position , [5, 0, 1, 6, 0, 2], and roll, {1, 3}, the best moves are {[4, 0, 2, 6, 0, 1]} For position , [4, 1, 1, 6, 0, 2], and roll, {1, 3}, the best moves are {[3, 1, 2, 6, 0, 1]} For position , [3, 2, 1, 6, 0, 2], and roll, {1, 3}, the best moves are {[2, 2, 2, 6, 0, 1]} For position , [6, 0, 1, 6, 0, 1], and roll, {1, 3}, the best moves are {[5, 0, 2, 6, 0, 0]} For position , [5, 1, 1, 6, 0, 1], and roll, {1, 3}, the best moves are {[4, 1, 2, 6, 0, 0]} When the roll was, {1, 3}, and there were, 14, checkers , the exceptions to greedy play were {[{1, 3}, [7, 0, 1, 5, 0, 1], [6, 0, 2, 5, 0, 0]], [{1, 3}, [5, 1, 1, 6, 0, 1], [4, 1, 2, 6, 0, 0]], [{1, 3}, [5, 0, 1, 7, 0, 1], [4, 0, 2, 7, 0, 0]], [{1, 3}, [3, 0, 1, 8, 0, 2], [2, 0, 2, 8, 0, 1]], [{1, 3}, [3, 1, 1, 8, 0, 1], [2, 1, 2, 8, 0, 0]], [{1, 3}, [6, 0, 1, 6, 0, 1], [5, 0, 2, 6, 0, 0]], [{1, 3}, [3, 0, 1, 9, 0, 1], [2, 0, 2, 9, 0, 0]], [{1, 3}, [3, 2, 1, 7, 0, 1], [2, 2, 2, 7, 0, 0]], [{1, 3}, [4, 1, 1, 7, 0, 1], [3, 1, 2, 7, 0, 0]], [{1, 3}, [4, 1, 1, 6, 0, 2], [3, 1, 2, 6, 0, 1]], [{1, 3}, [4, 0, 1, 7, 0, 2], [3, 0, 2, 7, 0, 1]], [{1, 3}, [4, 0, 1, 8, 0, 1], [3, 0, 2, 8, 0, 0]], [{1, 3}, [5, 0, 1, 6, 0, 2], [4, 0, 2, 6, 0, 1]], [{1, 3}, [3, 1, 1, 7, 0, 2], [2, 1, 2, 7, 0, 1]], [{1, 3}, [3, 2, 1, 6, 0, 2], [2, 2, 2, 6, 0, 1]], [{1, 3}, [5, 1, 1, 5, 0, 2], [4, 1, 2, 5, 0, 1]], [{1, 3}, [2, 0, 1, 10, 0, 1], [1, 0, 2, 10, 0, 0]]} For position , [3, 0, 5, 1, 4, 1], and roll, {1, 4}, the best moves are {[2, 1, 5, 1, 4, 0]} For position , [4, 0, 4, 1, 4, 1], and roll, {1, 4}, the best moves are {[3, 1, 4, 1, 4, 0]} For position , [4, 0, 2, 1, 6, 1], and roll, {1, 4}, the best moves are {[3, 1, 2, 1, 6, 0]} For position , [2, 0, 4, 1, 6, 1], and roll, {1, 4}, the best moves are {[1, 1, 4, 1, 6, 0]} For position , [3, 0, 3, 1, 6, 1], and roll, {1, 4}, the best moves are {[2, 1, 3, 1, 6, 0]} For position , [2, 0, 3, 1, 7, 1], and roll, {1, 4}, the best moves are {[1, 1, 3, 1, 7, 0]} For position , [3, 0, 2, 1, 7, 1], and roll, {1, 4}, the best moves are {[2, 1, 2, 1, 7, 0]} For position , [2, 0, 5, 1, 5, 1], and roll, {1, 4}, the best moves are {[1, 1, 5, 1, 5, 0]} For position , [3, 0, 4, 1, 5, 1], and roll, {1, 4}, the best moves are {[2, 1, 4, 1, 5, 0]} For position , [4, 0, 3, 1, 5, 1], and roll, {1, 4}, the best moves are {[3, 1, 3, 1, 5, 0]} When the roll was, {1, 4}, and there were, 14, checkers , the exceptions to greedy play were {[{1, 4}, [4, 0, 4, 1, 4, 1], [3, 1, 4, 1, 4, 0]], [{1, 4}, [2, 0, 4, 1, 6, 1], [1, 1, 4, 1, 6, 0]], [{1, 4}, [4, 0, 2, 1, 6, 1], [3, 1, 2, 1, 6, 0]], [{1, 4}, [2, 0, 3, 1, 7, 1], [1, 1, 3, 1, 7, 0]], [{1, 4}, [3, 0, 3, 1, 6, 1], [2, 1, 3, 1, 6, 0]], [{1, 4}, [2, 0, 5, 1, 5, 1], [1, 1, 5, 1, 5, 0]], [{1, 4}, [3, 0, 2, 1, 7, 1], [2, 1, 2, 1, 7, 0]], [{1, 4}, [3, 0, 4, 1, 5, 1], [2, 1, 4, 1, 5, 0]], [{1, 4}, [3, 0, 5, 1, 4, 1], [2, 1, 5, 1, 4, 0]], [{1, 4}, [4, 0, 3, 1, 5, 1], [3, 1, 3, 1, 5, 0]]} For position , [1, 1, 6, 0, 5, 1], and roll, {2, 3}, the best moves are {[1, 1, 5, 1, 5, 0]} For position , [2, 1, 6, 0, 4, 1], and roll, {2, 3}, the best moves are {[2, 1, 5, 1, 4, 0]} For position , [3, 1, 5, 0, 4, 1], and roll, {2, 3}, the best moves are {[3, 1, 4, 1, 4, 0]} For position , [2, 1, 1, 8, 0, 2], and roll, {2, 3}, the best moves are {[2, 0, 2, 8, 0, 1]} For position , [1, 1, 5, 0, 6, 1], and roll, {2, 3}, the best moves are {[1, 1, 4, 1, 6, 0]} For position , [3, 1, 3, 0, 6, 1], and roll, {2, 3}, the best moves are {[3, 1, 2, 1, 6, 0]} For position , [2, 1, 4, 0, 6, 1], and roll, {2, 3}, the best moves are {[2, 1, 3, 1, 6, 0]} For position , [2, 1, 5, 0, 5, 1], and roll, {2, 3}, the best moves are {[2, 1, 4, 1, 5, 0]} For position , [4, 2, 1, 5, 0, 2], and roll, {2, 3}, the best moves are {[4, 1, 2, 5, 0, 1]} For position , [3, 1, 1, 7, 0, 2], and roll, {2, 3}, the best moves are {[3, 0, 2, 7, 0, 1]} For position , [2, 2, 1, 7, 0, 2], and roll, {2, 3}, the best moves are {[2, 1, 2, 7, 0, 1]} For position , [2, 1, 3, 0, 7, 1], and roll, {2, 3}, the best moves are {[2, 1, 2, 1, 7, 0]} For position , [1, 1, 4, 0, 7, 1], and roll, {2, 3}, the best moves are {[1, 1, 3, 1, 7, 0]} For position , [6, 1, 1, 5, 0, 1], and roll, {2, 3}, the best moves are {[6, 0, 2, 5, 0, 0]} For position , [4, 1, 1, 7, 0, 1], and roll, {2, 3}, the best moves are {[4, 0, 2, 7, 0, 0]} For position , [3, 2, 1, 7, 0, 1], and roll, {2, 3}, the best moves are {[3, 1, 2, 7, 0, 0]} For position , [2, 3, 1, 7, 0, 1], and roll, {2, 3}, the best moves are {[2, 2, 2, 7, 0, 0]} For position , [3, 1, 1, 8, 0, 1], and roll, {2, 3}, the best moves are {[3, 0, 2, 8, 0, 0]} For position , [2, 2, 1, 8, 0, 1], and roll, {2, 3}, the best moves are {[2, 1, 2, 8, 0, 0]} For position , [2, 1, 1, 9, 0, 1], and roll, {2, 3}, the best moves are {[2, 0, 2, 9, 0, 0]} For position , [1, 1, 1, 10, 0, 1], and roll, {2, 3}, the best moves are {[1, 0, 2, 10, 0, 0]} For position , [3, 1, 4, 0, 5, 1], and roll, {2, 3}, the best moves are {[3, 1, 3, 1, 5, 0]} For position , [4, 1, 1, 6, 0, 2], and roll, {2, 3}, the best moves are {[4, 0, 2, 6, 0, 1]} For position , [3, 2, 1, 6, 0, 2], and roll, {2, 3}, the best moves are {[3, 1, 2, 6, 0, 1]} For position , [2, 3, 1, 6, 0, 2], and roll, {2, 3}, the best moves are {[2, 2, 2, 6, 0, 1]} For position , [5, 1, 1, 6, 0, 1], and roll, {2, 3}, the best moves are {[5, 0, 2, 6, 0, 0]} For position , [4, 2, 1, 6, 0, 1], and roll, {2, 3}, the best moves are {[4, 1, 2, 6, 0, 0]} When the roll was, {2, 3}, and there were, 14, checkers , the exceptions to greedy play were {[{2, 3}, [1, 1, 6, 0, 5, 1], [1, 1, 5, 1, 5, 0]], [{2, 3}, [1, 1, 5, 0, 6, 1], [1, 1, 4, 1, 6, 0]], [{2, 3}, [2, 1, 1, 8, 0, 2], [2, 0, 2, 8, 0, 1]], [{2, 3}, [3, 1, 5, 0, 4, 1], [3, 1, 4, 1, 4, 0]], [{2, 3}, [2, 1, 5, 0, 5, 1], [2, 1, 4, 1, 5, 0]], [{2, 3}, [2, 1, 4, 0, 6, 1], [2, 1, 3, 1, 6, 0]], [{2, 3}, [3, 1, 3, 0, 6, 1], [3, 1, 2, 1, 6, 0]], [{2, 3}, [2, 2, 1, 7, 0, 2], [2, 1, 2, 7, 0, 1]], [{2, 3}, [3, 1, 1, 7, 0, 2], [3, 0, 2, 7, 0, 1]], [{2, 3}, [4, 2, 1, 5, 0, 2], [4, 1, 2, 5, 0, 1]], [{2, 3}, [1, 1, 4, 0, 7, 1], [1, 1, 3, 1, 7, 0]], [{2, 3}, [2, 1, 3, 0, 7, 1], [2, 1, 2, 1, 7, 0]], [{2, 3}, [2, 2, 1, 8, 0, 1], [2, 1, 2, 8, 0, 0]], [{2, 3}, [2, 1, 6, 0, 4, 1], [2, 1, 5, 1, 4, 0]], [{2, 3}, [6, 1, 1, 5, 0, 1], [6, 0, 2, 5, 0, 0]], [{2, 3}, [3, 1, 1, 8, 0, 1], [3, 0, 2, 8, 0, 0]], [{2, 3}, [4, 1, 1, 6, 0, 2], [4, 0, 2, 6, 0, 1]], [{2, 3}, [1, 1, 1, 10, 0, 1], [1, 0, 2, 10, 0, 0]], [{2, 3}, [2, 1, 1, 9, 0, 1], [2, 0, 2, 9, 0, 0]], [{2, 3}, [4, 1, 1, 7, 0, 1], [4, 0, 2, 7, 0, 0]], [{2, 3}, [2, 3, 1, 6, 0, 2], [2, 2, 2, 6, 0, 1]], [{2, 3}, [3, 2, 1, 6, 0, 2], [3, 1, 2, 6, 0, 1]], [{2, 3}, [3, 2, 1, 7, 0, 1], [3, 1, 2, 7, 0, 0]], [{2, 3}, [2, 3, 1, 7, 0, 1], [2, 2, 2, 7, 0, 0]], [{2, 3}, [5, 1, 1, 6, 0, 1], [5, 0, 2, 6, 0, 0]], [{2, 3}, [4, 2, 1, 6, 0, 1], [4, 1, 2, 6, 0, 0]], [{2, 3}, [3, 1, 4, 0, 5, 1], [3, 1, 3, 1, 5, 0]]} For position , [2, 1, 5, 1, 4, 1], and roll, {2, 4}, the best moves are {[2, 1, 5, 1, 4, 0]} For position , [3, 1, 4, 1, 4, 1], and roll, {2, 4}, the best moves are {[3, 1, 4, 1, 4, 0]} For position , [3, 1, 2, 1, 6, 1], and roll, {2, 4}, the best moves are {[3, 1, 2, 1, 6, 0]} For position , [1, 1, 4, 1, 6, 1], and roll, {2, 4}, the best moves are {[1, 1, 4, 1, 6, 0]} For position , [2, 1, 3, 1, 6, 1], and roll, {2, 4}, the best moves are {[2, 1, 3, 1, 6, 0]} For position , [1, 1, 3, 1, 7, 1], and roll, {2, 4}, the best moves are {[1, 1, 3, 1, 7, 0]} For position , [2, 1, 2, 1, 7, 1], and roll, {2, 4}, the best moves are {[2, 1, 2, 1, 7, 0]} For position , [1, 1, 5, 1, 5, 1], and roll, {2, 4}, the best moves are {[1, 1, 5, 1, 5, 0]} For position , [2, 1, 4, 1, 5, 1], and roll, {2, 4}, the best moves are {[2, 1, 4, 1, 5, 0]} For position , [3, 1, 3, 1, 5, 1], and roll, {2, 4}, the best moves are {[3, 1, 3, 1, 5, 0]} When the roll was, {2, 4}, and there were, 14, checkers , the exceptions to greedy play were {[{2, 4}, [3, 1, 4, 1, 4, 1], [3, 1, 4, 1, 4, 0]], [{2, 4}, [2, 1, 2, 1, 7, 1], [2, 1, 2, 1, 7, 0]], [{2, 4}, [3, 1, 3, 1, 5, 1], [3, 1, 3, 1, 5, 0]], [{2, 4}, [3, 1, 2, 1, 6, 1], [3, 1, 2, 1, 6, 0]], [{2, 4}, [2, 1, 4, 1, 5, 1], [2, 1, 4, 1, 5, 0]], [{2, 4}, [1, 1, 4, 1, 6, 1], [1, 1, 4, 1, 6, 0]], [{2, 4}, [2, 1, 3, 1, 6, 1], [2, 1, 3, 1, 6, 0]], [{2, 4}, [2, 1, 5, 1, 4, 1], [2, 1, 5, 1, 4, 0]], [{2, 4}, [1, 1, 5, 1, 5, 1], [1, 1, 5, 1, 5, 0]], [{2, 4}, [1, 1, 3, 1, 7, 1], [1, 1, 3, 1, 7, 0]]} For position , [1, 1, 5, 0, 6, 1], and roll, {2, 5}, the best moves are {[1, 1, 5, 1, 5, 0]} For position , [3, 1, 3, 0, 6, 1], and roll, {2, 5}, the best moves are {[3, 1, 3, 1, 5, 0]} For position , [2, 1, 4, 0, 6, 1], and roll, {2, 5}, the best moves are {[2, 1, 4, 1, 5, 0]} For position , [2, 1, 5, 0, 5, 1], and roll, {2, 5}, the best moves are {[2, 1, 5, 1, 4, 0]} For position , [1, 1, 3, 0, 8, 1], and roll, {2, 5}, the best moves are {[1, 1, 3, 1, 7, 0]} For position , [2, 1, 2, 0, 8, 1], and roll, {2, 5}, the best moves are {[2, 1, 2, 1, 7, 0]} For position , [2, 1, 3, 0, 7, 1], and roll, {2, 5}, the best moves are {[2, 1, 3, 1, 6, 0]} For position , [1, 1, 4, 0, 7, 1], and roll, {2, 5}, the best moves are {[1, 1, 4, 1, 6, 0]} For position , [3, 1, 2, 0, 7, 1], and roll, {2, 5}, the best moves are {[3, 1, 2, 1, 6, 0]} For position , [3, 1, 4, 0, 5, 1], and roll, {2, 5}, the best moves are {[3, 1, 4, 1, 4, 0]} When the roll was, {2, 5}, and there were, 14, checkers , the exceptions to greedy play were {[{2, 5}, [2, 1, 4, 0, 6, 1], [2, 1, 4, 1, 5, 0]], [{2, 5}, [1, 1, 5, 0, 6, 1], [1, 1, 5, 1, 5, 0]], [{2, 5}, [2, 1, 2, 0, 8, 1], [2, 1, 2, 1, 7, 0]], [{2, 5}, [1, 1, 3, 0, 8, 1], [1, 1, 3, 1, 7, 0]], [{2, 5}, [3, 1, 2, 0, 7, 1], [3, 1, 2, 1, 6, 0]], [{2, 5}, [1, 1, 4, 0, 7, 1], [1, 1, 4, 1, 6, 0]], [{2, 5}, [2, 1, 3, 0, 7, 1], [2, 1, 3, 1, 6, 0]], [{2, 5}, [3, 1, 4, 0, 5, 1], [3, 1, 4, 1, 4, 0]], [{2, 5}, [2, 1, 5, 0, 5, 1], [2, 1, 5, 1, 4, 0]], [{2, 5}, [3, 1, 3, 0, 6, 1], [3, 1, 3, 1, 5, 0]]} For position , [2, 1, 2, 0, 7, 2], and roll, {2, 6}, the best moves are {[2, 1, 2, 1, 7, 0]} For position , [1, 1, 3, 0, 7, 2], and roll, {2, 6}, the best moves are {[1, 1, 3, 1, 7, 0]} For position , [3, 1, 2, 0, 6, 2], and roll, {2, 6}, the best moves are {[3, 1, 2, 1, 6, 0]} For position , [3, 1, 3, 0, 5, 2], and roll, {2, 6}, the best moves are {[3, 1, 3, 1, 5, 0]} For position , [2, 1, 4, 0, 5, 2], and roll, {2, 6}, the best moves are {[2, 1, 4, 1, 5, 0]} For position , [1, 1, 5, 0, 5, 2], and roll, {2, 6}, the best moves are {[1, 1, 5, 1, 5, 0]} For position , [2, 1, 3, 0, 6, 2], and roll, {2, 6}, the best moves are {[2, 1, 3, 1, 6, 0]} For position , [1, 1, 4, 0, 6, 2], and roll, {2, 6}, the best moves are {[1, 1, 4, 1, 6, 0]} For position , [3, 1, 4, 0, 4, 2], and roll, {2, 6}, the best moves are {[3, 1, 4, 1, 4, 0]} For position , [2, 1, 5, 0, 4, 2], and roll, {2, 6}, the best moves are {[2, 1, 5, 1, 4, 0]} When the roll was, {2, 6}, and there were, 14, checkers , the exceptions to greedy play were {[{2, 6}, [2, 1, 4, 0, 5, 2], [2, 1, 4, 1, 5, 0]], [{2, 6}, [2, 1, 3, 0, 6, 2], [2, 1, 3, 1, 6, 0]], [{2, 6}, [1, 1, 5, 0, 5, 2], [1, 1, 5, 1, 5, 0]], [{2, 6}, [3, 1, 4, 0, 4, 2], [3, 1, 4, 1, 4, 0]], [{2, 6}, [1, 1, 4, 0, 6, 2], [1, 1, 4, 1, 6, 0]], [{2, 6}, [3, 1, 3, 0, 5, 2], [3, 1, 3, 1, 5, 0]], [{2, 6}, [2, 1, 5, 0, 4, 2], [2, 1, 5, 1, 4, 0]], [{2, 6}, [1, 1, 3, 0, 7, 2], [1, 1, 3, 1, 7, 0]], [{2, 6}, [3, 1, 2, 0, 6, 2], [3, 1, 2, 1, 6, 0]], [{2, 6}, [2, 1, 2, 0, 7, 2], [2, 1, 2, 1, 7, 0]]} For position , [2, 0, 6, 1, 4, 1], and roll, {3, 4}, the best moves are {[2, 1, 5, 1, 4, 0]} For position , [3, 0, 5, 1, 4, 1], and roll, {3, 4}, the best moves are {[3, 1, 4, 1, 4, 0]} For position , [3, 0, 1, 8, 0, 2], and roll, {3, 4}, the best moves are {[3, 0, 2, 7, 0, 1]} For position , [2, 1, 1, 8, 0, 2], and roll, {3, 4}, the best moves are {[2, 1, 2, 7, 0, 1]} For position , [2, 0, 4, 1, 6, 1], and roll, {3, 4}, the best moves are {[2, 1, 3, 1, 6, 0]} For position , [1, 0, 5, 1, 6, 1], and roll, {3, 4}, the best moves are {[1, 1, 4, 1, 6, 0]} For position , [3, 0, 3, 1, 6, 1], and roll, {3, 4}, the best moves are {[3, 1, 2, 1, 6, 0]} For position , [2, 0, 1, 9, 0, 2], and roll, {3, 4}, the best moves are {[2, 0, 2, 8, 0, 1]} For position , [3, 1, 1, 7, 0, 2], and roll, {3, 4}, the best moves are {[3, 1, 2, 6, 0, 1]} For position , [2, 2, 1, 7, 0, 2], and roll, {3, 4}, the best moves are {[2, 2, 2, 6, 0, 1]} For position , [4, 0, 1, 7, 0, 2], and roll, {3, 4}, the best moves are {[4, 0, 2, 6, 0, 1]} For position , [2, 0, 3, 1, 7, 1], and roll, {3, 4}, the best moves are {[2, 1, 2, 1, 7, 0]} For position , [1, 0, 4, 1, 7, 1], and roll, {3, 4}, the best moves are {[1, 1, 3, 1, 7, 0]} For position , [5, 0, 1, 7, 0, 1], and roll, {3, 4}, the best moves are {[5, 0, 2, 6, 0, 0]} For position , [4, 1, 1, 7, 0, 1], and roll, {3, 4}, the best moves are {[4, 1, 2, 6, 0, 0]} For position , [4, 0, 1, 8, 0, 1], and roll, {3, 4}, the best moves are {[4, 0, 2, 7, 0, 0]} For position , [3, 1, 1, 8, 0, 1], and roll, {3, 4}, the best moves are {[3, 1, 2, 7, 0, 0]} For position , [2, 2, 1, 8, 0, 1], and roll, {3, 4}, the best moves are {[2, 2, 2, 7, 0, 0]} For position , [3, 0, 1, 9, 0, 1], and roll, {3, 4}, the best moves are {[3, 0, 2, 8, 0, 0]} For position , [2, 1, 1, 9, 0, 1], and roll, {3, 4}, the best moves are {[2, 1, 2, 8, 0, 0]} For position , [2, 0, 1, 10, 0, 1], and roll, {3, 4}, the best moves are {[2, 0, 2, 9, 0, 0]} For position , [1, 0, 1, 11, 0, 1], and roll, {3, 4}, the best moves are {[1, 0, 2, 10, 0, 0]} For position , [4, 1, 1, 6, 0, 2], and roll, {3, 4}, the best moves are {[4, 1, 2, 5, 0, 1]} For position , [2, 0, 5, 1, 5, 1], and roll, {3, 4}, the best moves are {[2, 1, 4, 1, 5, 0]} For position , [3, 0, 4, 1, 5, 1], and roll, {3, 4}, the best moves are {[3, 1, 3, 1, 5, 0]} For position , [1, 0, 6, 1, 5, 1], and roll, {3, 4}, the best moves are {[1, 1, 5, 1, 5, 0]} For position , [6, 0, 1, 6, 0, 1], and roll, {3, 4}, the best moves are {[6, 0, 2, 5, 0, 0]} When the roll was, {3, 4}, and there were, 14, checkers , the exceptions to greedy play were {[{3, 4}, [2, 0, 4, 1, 6, 1], [2, 1, 3, 1, 6, 0]], [{3, 4}, [2, 1, 1, 8, 0, 2], [2, 1, 2, 7, 0, 1]], [{3, 4}, [3, 0, 3, 1, 6, 1], [3, 1, 2, 1, 6, 0]], [{3, 4}, [1, 0, 5, 1, 6, 1], [1, 1, 4, 1, 6, 0]], [{3, 4}, [2, 2, 1, 7, 0, 2], [2, 2, 2, 6, 0, 1]], [{3, 4}, [4, 1, 1, 6, 0, 2], [4, 1, 2, 5, 0, 1]], [{3, 4}, [3, 1, 1, 7, 0, 2], [3, 1, 2, 6, 0, 1]], [{3, 4}, [2, 0, 1, 9, 0, 2], [2, 0, 2, 8, 0, 1]], [{3, 4}, [2, 0, 3, 1, 7, 1], [2, 1, 2, 1, 7, 0]], [{3, 4}, [4, 0, 1, 7, 0, 2], [4, 0, 2, 6, 0, 1]], [{3, 4}, [1, 0, 4, 1, 7, 1], [1, 1, 3, 1, 7, 0]], [{3, 4}, [6, 0, 1, 6, 0, 1], [6, 0, 2, 5, 0, 0]], [{3, 4}, [3, 0, 1, 9, 0, 1], [3, 0, 2, 8, 0, 0]], [{3, 4}, [2, 0, 1, 10, 0, 1], [2, 0, 2, 9, 0, 0]], [{3, 4}, [2, 1, 1, 9, 0, 1], [2, 1, 2, 8, 0, 0]], [{3, 4}, [1, 0, 1, 11, 0, 1], [1, 0, 2, 10, 0, 0]], [{3, 4}, [2, 0, 5, 1, 5, 1], [2, 1, 4, 1, 5, 0]], [{3, 4}, [1, 0, 6, 1, 5, 1], [1, 1, 5, 1, 5, 0]], [{3, 4}, [2, 2, 1, 8, 0, 1], [2, 2, 2, 7, 0, 0]], [{3, 4}, [3, 1, 1, 8, 0, 1], [3, 1, 2, 7, 0, 0]], [{3, 4}, [2, 0, 6, 1, 4, 1], [2, 1, 5, 1, 4, 0]], [{3, 4}, [4, 0, 1, 8, 0, 1], [4, 0, 2, 7, 0, 0]], [{3, 4}, [3, 0, 4, 1, 5, 1], [3, 1, 3, 1, 5, 0]], [{3, 4}, [4, 1, 1, 7, 0, 1], [4, 1, 2, 6, 0, 0]], [{3, 4}, [3, 0, 5, 1, 4, 1], [3, 1, 4, 1, 4, 0]], [{3, 4}, [5, 0, 1, 7, 0, 1], [5, 0, 2, 6, 0, 0]], [{3, 4}, [3, 0, 1, 8, 0, 2], [3, 0, 2, 7, 0, 1]]} For position , [2, 2, 1, 7, 1, 1], and roll, {3, 5}, the best moves are {[2, 2, 2, 7, 0, 0]} For position , [3, 1, 1, 7, 1, 1], and roll, {3, 5}, the best moves are {[3, 1, 2, 7, 0, 0]} For position , [4, 0, 1, 7, 1, 1], and roll, {3, 5}, the best moves are {[4, 0, 2, 7, 0, 0]} For position , [5, 0, 1, 6, 1, 1], and roll, {3, 5}, the best moves are {[5, 0, 2, 6, 0, 0]} For position , [4, 1, 1, 6, 1, 1], and roll, {3, 5}, the best moves are {[4, 1, 2, 6, 0, 0]} For position , [1, 0, 1, 10, 1, 1], and roll, {3, 5}, the best moves are {[1, 0, 2, 10, 0, 0]} For position , [3, 0, 1, 7, 1, 2], and roll, {3, 5}, the best moves are {[3, 0, 2, 7, 0, 1]} For position , [2, 0, 1, 9, 1, 1], and roll, {3, 5}, the best moves are {[2, 0, 2, 9, 0, 0]} For position , [2, 1, 1, 8, 1, 1], and roll, {3, 5}, the best moves are {[2, 1, 2, 8, 0, 0]} For position , [3, 0, 1, 8, 1, 1], and roll, {3, 5}, the best moves are {[3, 0, 2, 8, 0, 0]} For position , [2, 0, 1, 8, 1, 2], and roll, {3, 5}, the best moves are {[2, 0, 2, 8, 0, 1]} For position , [2, 1, 1, 7, 1, 2], and roll, {3, 5}, the best moves are {[2, 1, 2, 7, 0, 1]} For position , [4, 0, 1, 6, 1, 2], and roll, {3, 5}, the best moves are {[4, 0, 2, 6, 0, 1]} For position , [6, 0, 1, 5, 1, 1], and roll, {3, 5}, the best moves are {[6, 0, 2, 5, 0, 0]} For position , [3, 1, 1, 6, 1, 2], and roll, {3, 5}, the best moves are {[3, 1, 2, 6, 0, 1]} For position , [2, 2, 1, 6, 1, 2], and roll, {3, 5}, the best moves are {[2, 2, 2, 6, 0, 1]} For position , [4, 1, 1, 5, 1, 2], and roll, {3, 5}, the best moves are {[4, 1, 2, 5, 0, 1]} When the roll was, {3, 5}, and there were, 14, checkers , the exceptions to greedy play were {[{3, 5}, [4, 0, 1, 6, 1, 2], [4, 0, 2, 6, 0, 1]], [{3, 5}, [3, 0, 1, 7, 1, 2], [3, 0, 2, 7, 0, 1]], [{3, 5}, [1, 0, 1, 10, 1, 1], [1, 0, 2, 10, 0, 0]], [{3, 5}, [4, 1, 1, 6, 1, 1], [4, 1, 2, 6, 0, 0]], [{3, 5}, [3, 0, 1, 8, 1, 1], [3, 0, 2, 8, 0, 0]], [{3, 5}, [2, 1, 1, 8, 1, 1], [2, 1, 2, 8, 0, 0]], [{3, 5}, [2, 0, 1, 9, 1, 1], [2, 0, 2, 9, 0, 0]], [{3, 5}, [2, 1, 1, 7, 1, 2], [2, 1, 2, 7, 0, 1]], [{3, 5}, [2, 0, 1, 8, 1, 2], [2, 0, 2, 8, 0, 1]], [{3, 5}, [2, 2, 1, 6, 1, 2], [2, 2, 2, 6, 0, 1]], [{3, 5}, [2, 2, 1, 7, 1, 1], [2, 2, 2, 7, 0, 0]], [{3, 5}, [3, 1, 1, 7, 1, 1], [3, 1, 2, 7, 0, 0]], [{3, 5}, [4, 0, 1, 7, 1, 1], [4, 0, 2, 7, 0, 0]], [{3, 5}, [5, 0, 1, 6, 1, 1], [5, 0, 2, 6, 0, 0]], [{3, 5}, [6, 0, 1, 5, 1, 1], [6, 0, 2, 5, 0, 0]], [{3, 5}, [4, 1, 1, 5, 1, 2], [4, 1, 2, 5, 0, 1]], [{3, 5}, [3, 1, 1, 6, 1, 2], [3, 1, 2, 6, 0, 1]]} For position , [1, 0, 1, 10, 0, 2], and roll, {3, 6}, the best moves are {[1, 0, 2, 10, 0, 0]} For position , [2, 1, 1, 7, 0, 3], and roll, {3, 6}, the best moves are {[2, 1, 2, 7, 0, 1]} For position , [3, 0, 1, 8, 0, 2], and roll, {3, 6}, the best moves are {[3, 0, 2, 8, 0, 0]} For position , [2, 1, 1, 8, 0, 2], and roll, {3, 6}, the best moves are {[2, 1, 2, 8, 0, 0]} For position , [2, 0, 1, 9, 0, 2], and roll, {3, 6}, the best moves are {[2, 0, 2, 9, 0, 0]} For position , [6, 0, 1, 5, 0, 2], and roll, {3, 6}, the best moves are {[6, 0, 2, 5, 0, 0]} For position , [3, 1, 1, 7, 0, 2], and roll, {3, 6}, the best moves are {[3, 1, 2, 7, 0, 0]} For position , [2, 2, 1, 7, 0, 2], and roll, {3, 6}, the best moves are {[2, 2, 2, 7, 0, 0]} For position , [4, 0, 1, 7, 0, 2], and roll, {3, 6}, the best moves are {[4, 0, 2, 7, 0, 0]} For position , [4, 1, 1, 5, 0, 3], and roll, {3, 6}, the best moves are {[4, 1, 2, 5, 0, 1]} For position , [4, 0, 1, 6, 0, 3], and roll, {3, 6}, the best moves are {[4, 0, 2, 6, 0, 1]} For position , [3, 1, 1, 6, 0, 3], and roll, {3, 6}, the best moves are {[3, 1, 2, 6, 0, 1]} For position , [2, 2, 1, 6, 0, 3], and roll, {3, 6}, the best moves are {[2, 2, 2, 6, 0, 1]} For position , [3, 0, 1, 7, 0, 3], and roll, {3, 6}, the best moves are {[3, 0, 2, 7, 0, 1]} For position , [2, 0, 1, 8, 0, 3], and roll, {3, 6}, the best moves are {[2, 0, 2, 8, 0, 1]} For position , [5, 0, 1, 6, 0, 2], and roll, {3, 6}, the best moves are {[5, 0, 2, 6, 0, 0]} For position , [4, 1, 1, 6, 0, 2], and roll, {3, 6}, the best moves are {[4, 1, 2, 6, 0, 0]} When the roll was, {3, 6}, and there were, 14, checkers , the exceptions to greedy play were {[{3, 6}, [2, 1, 1, 7, 0, 3], [2, 1, 2, 7, 0, 1]], [{3, 6}, [1, 0, 1, 10, 0, 2], [1, 0, 2, 10, 0, 0]], [{3, 6}, [2, 1, 1, 8, 0, 2], [2, 1, 2, 8, 0, 0]], [{3, 6}, [3, 1, 1, 7, 0, 2], [3, 1, 2, 7, 0, 0]], [{3, 6}, [2, 0, 1, 9, 0, 2], [2, 0, 2, 9, 0, 0]], [{3, 6}, [3, 0, 1, 8, 0, 2], [3, 0, 2, 8, 0, 0]], [{3, 6}, [4, 1, 1, 6, 0, 2], [4, 1, 2, 6, 0, 0]], [{3, 6}, [2, 0, 1, 8, 0, 3], [2, 0, 2, 8, 0, 1]], [{3, 6}, [3, 0, 1, 7, 0, 3], [3, 0, 2, 7, 0, 1]], [{3, 6}, [2, 2, 1, 6, 0, 3], [2, 2, 2, 6, 0, 1]], [{3, 6}, [3, 1, 1, 6, 0, 3], [3, 1, 2, 6, 0, 1]], [{3, 6}, [4, 0, 1, 6, 0, 3], [4, 0, 2, 6, 0, 1]], [{3, 6}, [6, 0, 1, 5, 0, 2], [6, 0, 2, 5, 0, 0]], [{3, 6}, [4, 0, 1, 7, 0, 2], [4, 0, 2, 7, 0, 0]], [{3, 6}, [2, 2, 1, 7, 0, 2], [2, 2, 2, 7, 0, 0]], [{3, 6}, [5, 0, 1, 6, 0, 2], [5, 0, 2, 6, 0, 0]], [{3, 6}, [4, 1, 1, 5, 0, 3], [4, 1, 2, 5, 0, 1]]} For position , [2, 0, 4, 1, 6, 1], and roll, {4, 5}, the best moves are {[2, 1, 4, 1, 5, 0]} For position , [1, 0, 5, 1, 6, 1], and roll, {4, 5}, the best moves are {[1, 1, 5, 1, 5, 0]} For position , [3, 0, 3, 1, 6, 1], and roll, {4, 5}, the best moves are {[3, 1, 3, 1, 5, 0]} For position , [2, 0, 2, 1, 8, 1], and roll, {4, 5}, the best moves are {[2, 1, 2, 1, 7, 0]} For position , [1, 0, 3, 1, 8, 1], and roll, {4, 5}, the best moves are {[1, 1, 3, 1, 7, 0]} For position , [2, 0, 3, 1, 7, 1], and roll, {4, 5}, the best moves are {[2, 1, 3, 1, 6, 0]} For position , [1, 0, 4, 1, 7, 1], and roll, {4, 5}, the best moves are {[1, 1, 4, 1, 6, 0]} For position , [3, 0, 2, 1, 7, 1], and roll, {4, 5}, the best moves are {[3, 1, 2, 1, 6, 0]} For position , [2, 0, 5, 1, 5, 1], and roll, {4, 5}, the best moves are {[2, 1, 5, 1, 4, 0]} For position , [3, 0, 4, 1, 5, 1], and roll, {4, 5}, the best moves are {[3, 1, 4, 1, 4, 0]} When the roll was, {4, 5}, and there were, 14, checkers , the exceptions to greedy play were {[{4, 5}, [3, 0, 3, 1, 6, 1], [3, 1, 3, 1, 5, 0]], [{4, 5}, [2, 0, 2, 1, 8, 1], [2, 1, 2, 1, 7, 0]], [{4, 5}, [3, 0, 2, 1, 7, 1], [3, 1, 2, 1, 6, 0]], [{4, 5}, [1, 0, 4, 1, 7, 1], [1, 1, 4, 1, 6, 0]], [{4, 5}, [2, 0, 3, 1, 7, 1], [2, 1, 3, 1, 6, 0]], [{4, 5}, [1, 0, 3, 1, 8, 1], [1, 1, 3, 1, 7, 0]], [{4, 5}, [3, 0, 4, 1, 5, 1], [3, 1, 4, 1, 4, 0]], [{4, 5}, [2, 0, 4, 1, 6, 1], [2, 1, 4, 1, 5, 0]], [{4, 5}, [2, 0, 5, 1, 5, 1], [2, 1, 5, 1, 4, 0]], [{4, 5}, [1, 0, 5, 1, 6, 1], [1, 1, 5, 1, 5, 0]]} For position , [2, 0, 2, 1, 7, 2], and roll, {4, 6}, the best moves are {[2, 1, 2, 1, 7, 0]} For position , [3, 0, 4, 1, 4, 2], and roll, {4, 6}, the best moves are {[3, 1, 4, 1, 4, 0]} For position , [2, 0, 5, 1, 4, 2], and roll, {4, 6}, the best moves are {[2, 1, 5, 1, 4, 0]} For position , [1, 0, 3, 1, 7, 2], and roll, {4, 6}, the best moves are {[1, 1, 3, 1, 7, 0]} For position , [2, 0, 3, 1, 6, 2], and roll, {4, 6}, the best moves are {[2, 1, 3, 1, 6, 0]} For position , [3, 0, 2, 1, 6, 2], and roll, {4, 6}, the best moves are {[3, 1, 2, 1, 6, 0]} For position , [1, 0, 4, 1, 6, 2], and roll, {4, 6}, the best moves are {[1, 1, 4, 1, 6, 0]} For position , [2, 0, 4, 1, 5, 2], and roll, {4, 6}, the best moves are {[2, 1, 4, 1, 5, 0]} For position , [1, 0, 5, 1, 5, 2], and roll, {4, 6}, the best moves are {[1, 1, 5, 1, 5, 0]} For position , [3, 0, 3, 1, 5, 2], and roll, {4, 6}, the best moves are {[3, 1, 3, 1, 5, 0]} When the roll was, {4, 6}, and there were, 14, checkers , the exceptions to greedy play were {[{4, 6}, [2, 0, 5, 1, 4, 2], [2, 1, 5, 1, 4, 0]], [{4, 6}, [3, 0, 3, 1, 5, 2], [3, 1, 3, 1, 5, 0]], [{4, 6}, [1, 0, 3, 1, 7, 2], [1, 1, 3, 1, 7, 0]], [{4, 6}, [3, 0, 4, 1, 4, 2], [3, 1, 4, 1, 4, 0]], [{4, 6}, [2, 0, 4, 1, 5, 2], [2, 1, 4, 1, 5, 0]], [{4, 6}, [1, 0, 5, 1, 5, 2], [1, 1, 5, 1, 5, 0]], [{4, 6}, [2, 0, 2, 1, 7, 2], [2, 1, 2, 1, 7, 0]], [{4, 6}, [1, 0, 4, 1, 6, 2], [1, 1, 4, 1, 6, 0]], [{4, 6}, [2, 0, 3, 1, 6, 2], [2, 1, 3, 1, 6, 0]], [{4, 6}, [3, 0, 2, 1, 6, 2], [3, 1, 2, 1, 6, 0]]} For position , [7, 1, 5, 0, 1, 1], and roll, {1, 2}, the best moves are {[6, 1, 5, 1, 1, 0]} For position , [6, 1, 6, 0, 1, 1], and roll, {1, 2}, the best moves are {[5, 1, 6, 1, 1, 0]} For position , [4, 1, 8, 0, 1, 1], and roll, {1, 2}, the best moves are {[3, 1, 8, 1, 1, 0]} For position , [4, 1, 7, 0, 2, 1], and roll, {1, 2}, the best moves are {[3, 1, 7, 1, 2, 0]} For position , [3, 1, 8, 0, 2, 1], and roll, {1, 2}, the best moves are {[2, 1, 8, 1, 2, 0]} For position , [5, 1, 7, 0, 1, 1], and roll, {1, 2}, the best moves are {[4, 1, 7, 1, 1, 0]} For position , [8, 1, 4, 0, 1, 1], and roll, {1, 2}, the best moves are {[7, 1, 4, 1, 1, 0]} For position , [8, 1, 3, 0, 2, 1], and roll, {1, 2}, the best moves are {[7, 1, 3, 1, 2, 0]} For position , [9, 1, 2, 0, 2, 1], and roll, {1, 2}, the best moves are {[8, 1, 2, 1, 2, 0]} For position , [5, 1, 6, 0, 2, 1], and roll, {1, 2}, the best moves are {[4, 1, 6, 1, 2, 0]} For position , [3, 1, 10, 1, 0, 0], and roll, {1, 2}, the best moves are {[2, 2, 10, 0, 0, 0]} For position , [7, 1, 5, 2, 0, 0], and roll, {1, 2}, the best moves are {[6, 2, 5, 1, 0, 0]} For position , [7, 1, 2, 0, 4, 1], and roll, {1, 2}, the best moves are {[6, 1, 2, 1, 4, 0]} For position , [6, 1, 3, 0, 4, 1], and roll, {1, 2}, the best moves are {[5, 1, 3, 1, 4, 0]} For position , [5, 1, 4, 0, 4, 1], and roll, {1, 2}, the best moves are {[4, 1, 4, 1, 4, 0]} For position , [4, 2, 4, 0, 4, 1], and roll, {1, 2}, the best moves are {[3, 2, 4, 1, 4, 0]} For position , [4, 1, 5, 0, 4, 1], and roll, {1, 2}, the best moves are {[3, 1, 5, 1, 4, 0]} For position , [8, 1, 2, 0, 3, 1], and roll, {1, 2}, the best moves are {[7, 1, 2, 1, 3, 0]} For position , [7, 1, 3, 0, 3, 1], and roll, {1, 2}, the best moves are {[6, 1, 3, 1, 3, 0]} For position , [6, 2, 3, 0, 3, 1], and roll, {1, 2}, the best moves are {[5, 2, 3, 1, 3, 0]} For position , [5, 2, 4, 0, 3, 1], and roll, {1, 2}, the best moves are {[4, 2, 4, 1, 3, 0]} For position , [6, 1, 4, 0, 3, 1], and roll, {1, 2}, the best moves are {[5, 1, 4, 1, 3, 0]} For position , [5, 1, 5, 0, 3, 1], and roll, {1, 2}, the best moves are {[4, 1, 5, 1, 3, 0]} For position , [4, 2, 5, 0, 3, 1], and roll, {1, 2}, the best moves are {[3, 2, 5, 1, 3, 0]} For position , [4, 1, 6, 0, 3, 1], and roll, {1, 2}, the best moves are {[3, 1, 6, 1, 3, 0]} For position , [3, 1, 7, 0, 3, 1], and roll, {1, 2}, the best moves are {[2, 1, 7, 1, 3, 0]} For position , [3, 1, 6, 0, 4, 1], and roll, {1, 2}, the best moves are {[2, 1, 6, 1, 4, 0]} For position , [7, 1, 1, 0, 5, 1], and roll, {1, 2}, the best moves are {[6, 1, 1, 1, 5, 0]} For position , [6, 1, 2, 0, 5, 1], and roll, {1, 2}, the best moves are {[5, 1, 2, 1, 5, 0]} For position , [5, 1, 3, 0, 5, 1], and roll, {1, 2}, the best moves are {[4, 1, 3, 1, 5, 0]} For position , [4, 1, 4, 0, 5, 1], and roll, {1, 2}, the best moves are {[3, 1, 4, 1, 5, 0]} For position , [3, 1, 5, 0, 5, 1], and roll, {1, 2}, the best moves are {[2, 1, 5, 1, 5, 0]} For position , [2, 1, 6, 0, 5, 1], and roll, {1, 2}, the best moves are {[1, 1, 6, 1, 5, 0]} For position , [5, 1, 1, 0, 7, 1], and roll, {1, 2}, the best moves are {[4, 1, 1, 1, 7, 0]} For position , [4, 1, 2, 0, 7, 1], and roll, {1, 2}, the best moves are {[3, 1, 2, 1, 7, 0]} For position , [3, 1, 3, 0, 7, 1], and roll, {1, 2}, the best moves are {[2, 1, 3, 1, 7, 0]} For position , [2, 1, 4, 0, 7, 1], and roll, {1, 2}, the best moves are {[1, 1, 4, 1, 7, 0]} For position , [2, 1, 5, 0, 6, 1], and roll, {1, 2}, the best moves are {[1, 1, 5, 1, 6, 0]} For position , [4, 1, 3, 0, 6, 1], and roll, {1, 2}, the best moves are {[3, 1, 3, 1, 6, 0]} For position , [6, 1, 1, 0, 6, 1], and roll, {1, 2}, the best moves are {[5, 1, 1, 1, 6, 0]} For position , [5, 1, 2, 0, 6, 1], and roll, {1, 2}, the best moves are {[4, 1, 2, 1, 6, 0]} For position , [3, 1, 4, 0, 6, 1], and roll, {1, 2}, the best moves are {[2, 1, 4, 1, 6, 0]} For position , [6, 1, 5, 0, 2, 1], and roll, {1, 2}, the best moves are {[5, 1, 5, 1, 2, 0]} For position , [7, 1, 4, 0, 2, 1], and roll, {1, 2}, the best moves are {[6, 1, 4, 1, 2, 0]} For position , [4, 1, 1, 0, 8, 1], and roll, {1, 2}, the best moves are {[3, 1, 1, 1, 8, 0]} For position , [3, 1, 2, 0, 8, 1], and roll, {1, 2}, the best moves are {[2, 1, 2, 1, 8, 0]} For position , [2, 1, 3, 0, 8, 1], and roll, {1, 2}, the best moves are {[1, 1, 3, 1, 8, 0]} For position , [7, 1, 5, 0, 0, 2], and roll, {1, 2}, the best moves are {[6, 1, 5, 1, 0, 1]} For position , [6, 1, 6, 0, 0, 2], and roll, {1, 2}, the best moves are {[5, 1, 6, 1, 0, 1]} For position , [4, 1, 8, 0, 0, 2], and roll, {1, 2}, the best moves are {[3, 1, 8, 1, 0, 1]} For position , [5, 1, 7, 0, 0, 2], and roll, {1, 2}, the best moves are {[4, 1, 7, 1, 0, 1]} For position , [3, 1, 9, 0, 0, 2], and roll, {1, 2}, the best moves are {[2, 1, 9, 1, 0, 1]} For position , [8, 1, 4, 0, 0, 2], and roll, {1, 2}, the best moves are {[7, 1, 4, 1, 0, 1]} For position , [6, 1, 5, 0, 1, 2], and roll, {1, 2}, the best moves are {[5, 1, 5, 1, 1, 1]} For position , [5, 1, 6, 0, 1, 2], and roll, {1, 2}, the best moves are {[4, 1, 6, 1, 1, 1]} For position , [4, 1, 6, 0, 1, 3], and roll, {1, 2}, the best moves are {[3, 1, 6, 1, 1, 2]} For position , [5, 1, 5, 0, 1, 3], and roll, {1, 2}, the best moves are {[4, 1, 5, 1, 1, 2]} For position , [6, 1, 4, 0, 1, 3], and roll, {1, 2}, the best moves are {[5, 1, 4, 1, 1, 2]} For position , [12, 1, 1, 0, 1, 0], and roll, {1, 2}, the best moves are {[11, 1, 2, 0, 0, 0]} For position , [11, 1, 2, 0, 1, 0], and roll, {1, 2}, the best moves are {[10, 1, 3, 0, 0, 0]} For position , [5, 1, 6, 3, 0, 0], and roll, {1, 2}, the best moves are {[4, 2, 6, 2, 0, 0]} For position , [4, 1, 6, 4, 0, 0], and roll, {1, 2}, the best moves are {[3, 2, 6, 3, 0, 0]} For position , [8, 1, 0, 4, 2, 0], and roll, {1, 2}, the best moves are {[7, 1, 1, 4, 1, 0]} For position , [9, 3, 2, 1, 0, 0], and roll, {1, 2}, the best moves are {[8, 4, 2, 0, 0, 0]} For position , [8, 1, 4, 2, 0, 0], and roll, {1, 2}, the best moves are {[7, 2, 4, 1, 0, 0]} For position , [6, 1, 6, 2, 0, 0], and roll, {1, 2}, the best moves are {[5, 2, 6, 1, 0, 0]} For position , [7, 2, 0, 5, 1, 0], and roll, {1, 2}, the best moves are {[6, 2, 1, 5, 0, 0]} For position , [8, 1, 0, 5, 1, 0], and roll, {1, 2}, the best moves are {[7, 1, 1, 5, 0, 0]} For position , [11, 1, 2, 1, 0, 0], and roll, {1, 2}, the best moves are {[10, 2, 2, 0, 0, 0]} For position , [4, 2, 8, 1, 0, 0], and roll, {1, 2}, the best moves are {[3, 3, 8, 0, 0, 0]} For position , [5, 1, 8, 1, 0, 0], and roll, {1, 2}, the best moves are {[4, 2, 8, 0, 0, 0]} For position , [5, 2, 7, 1, 0, 0], and roll, {1, 2}, the best moves are {[4, 3, 7, 0, 0, 0]} For position , [4, 1, 9, 1, 0, 0], and roll, {1, 2}, the best moves are {[3, 2, 9, 0, 0, 0]} For position , [8, 3, 3, 1, 0, 0], and roll, {1, 2}, the best moves are {[7, 4, 3, 0, 0, 0]} For position , [9, 2, 3, 1, 0, 0], and roll, {1, 2}, the best moves are {[8, 3, 3, 0, 0, 0]} For position , [10, 1, 3, 1, 0, 0], and roll, {1, 2}, the best moves are {[9, 2, 3, 0, 0, 0]} For position , [6, 1, 0, 6, 2, 0], and roll, {1, 2}, the best moves are {[5, 1, 1, 6, 1, 0]} For position , [6, 1, 5, 3, 0, 0], and roll, {1, 2}, the best moves are {[5, 2, 5, 2, 0, 0]} For position , [4, 1, 7, 3, 0, 0], and roll, {1, 2}, the best moves are {[3, 2, 7, 2, 0, 0]} For position , [8, 2, 4, 1, 0, 0], and roll, {1, 2}, the best moves are {[7, 3, 4, 0, 0, 0]} For position , [9, 1, 4, 1, 0, 0], and roll, {1, 2}, the best moves are {[8, 2, 4, 0, 0, 0]} For position , [7, 2, 5, 1, 0, 0], and roll, {1, 2}, the best moves are {[6, 3, 5, 0, 0, 0]} For position , [7, 3, 4, 1, 0, 0], and roll, {1, 2}, the best moves are {[6, 4, 4, 0, 0, 0]} For position , [9, 1, 4, 0, 1, 0], and roll, {1, 2}, the best moves are {[8, 1, 5, 0, 0, 0]} For position , [8, 2, 4, 0, 1, 0], and roll, {1, 2}, the best moves are {[7, 2, 5, 0, 0, 0]} For position , [8, 2, 0, 4, 1, 0], and roll, {1, 2}, the best moves are {[7, 2, 1, 4, 0, 0]} For position , [9, 1, 0, 4, 1, 0], and roll, {1, 2}, the best moves are {[8, 1, 1, 4, 0, 0]} For position , [8, 1, 5, 0, 1, 0], and roll, {1, 2}, the best moves are {[7, 1, 6, 0, 0, 0]} For position , [7, 1, 0, 5, 2, 0], and roll, {1, 2}, the best moves are {[6, 1, 1, 5, 1, 0]} For position , [8, 2, 4, 0, 0, 1], and roll, {1, 2}, the best moves are {[7, 2, 4, 1, 0, 0]} For position , [9, 1, 4, 0, 0, 1], and roll, {1, 2}, the best moves are {[8, 1, 4, 1, 0, 0]} For position , [4, 1, 0, 9, 1, 0], and roll, {1, 2}, the best moves are {[3, 1, 1, 9, 0, 0]} For position , [8, 1, 5, 1, 0, 0], and roll, {1, 2}, the best moves are {[7, 2, 5, 0, 0, 0]} For position , [7, 1, 6, 0, 1, 0], and roll, {1, 2}, the best moves are {[6, 1, 7, 0, 0, 0]} For position , [3, 1, 9, 2, 0, 0], and roll, {1, 2}, the best moves are {[2, 2, 9, 1, 0, 0]} For position , [4, 1, 8, 2, 0, 0], and roll, {1, 2}, the best moves are {[3, 2, 8, 1, 0, 0]} For position , [5, 1, 7, 2, 0, 0], and roll, {1, 2}, the best moves are {[4, 2, 7, 1, 0, 0]} For position , [6, 2, 0, 6, 1, 0], and roll, {1, 2}, the best moves are {[5, 2, 1, 6, 0, 0]} For position , [7, 1, 0, 6, 1, 0], and roll, {1, 2}, the best moves are {[6, 1, 1, 6, 0, 0]} For position , [10, 1, 2, 2, 0, 0], and roll, {1, 2}, the best moves are {[9, 2, 2, 1, 0, 0]} For position , [10, 1, 3, 0, 0, 1], and roll, {1, 2}, the best moves are {[9, 1, 3, 1, 0, 0]} For position , [11, 1, 2, 0, 0, 1], and roll, {1, 2}, the best moves are {[10, 1, 2, 1, 0, 0]} For position , [12, 1, 1, 0, 0, 1], and roll, {1, 2}, the best moves are {[11, 1, 1, 1, 0, 0]} For position , [5, 1, 5, 4, 0, 0], and roll, {1, 2}, the best moves are {[4, 2, 5, 3, 0, 0]} For position , [10, 1, 3, 0, 1, 0], and roll, {1, 2}, the best moves are {[9, 1, 4, 0, 0, 0]} For position , [6, 1, 7, 0, 1, 0], and roll, {1, 2}, the best moves are {[5, 1, 8, 0, 0, 0]} For position , [5, 2, 0, 7, 1, 0], and roll, {1, 2}, the best moves are {[4, 2, 1, 7, 0, 0]} For position , [6, 1, 0, 7, 1, 0], and roll, {1, 2}, the best moves are {[5, 1, 1, 7, 0, 0]} For position , [5, 1, 0, 7, 2, 0], and roll, {1, 2}, the best moves are {[4, 1, 1, 7, 1, 0]} For position , [10, 1, 0, 3, 1, 0], and roll, {1, 2}, the best moves are {[9, 1, 1, 3, 0, 0]} For position , [6, 1, 7, 0, 0, 1], and roll, {1, 2}, the best moves are {[5, 1, 7, 1, 0, 0]} For position , [8, 1, 4, 1, 0, 1], and roll, {1, 2}, the best moves are {[7, 1, 4, 2, 0, 0]} For position , [6, 1, 0, 5, 3, 0], and roll, {1, 2}, the best moves are {[5, 1, 1, 5, 2, 0]} For position , [7, 1, 4, 3, 0, 0], and roll, {1, 2}, the best moves are {[6, 2, 4, 2, 0, 0]} For position , [4, 1, 9, 0, 0, 1], and roll, {1, 2}, the best moves are {[3, 1, 9, 1, 0, 0]} For position , [5, 1, 8, 0, 0, 1], and roll, {1, 2}, the best moves are {[4, 1, 8, 1, 0, 0]} For position , [6, 1, 6, 1, 0, 1], and roll, {1, 2}, the best moves are {[5, 1, 6, 2, 0, 0]} For position , [7, 1, 5, 1, 0, 1], and roll, {1, 2}, the best moves are {[6, 1, 5, 2, 0, 0]} For position , [3, 1, 0, 10, 1, 0], and roll, {1, 2}, the best moves are {[2, 1, 1, 10, 0, 0]} For position , [9, 1, 3, 1, 0, 1], and roll, {1, 2}, the best moves are {[8, 1, 3, 2, 0, 0]} For position , [10, 1, 2, 1, 0, 1], and roll, {1, 2}, the best moves are {[9, 1, 2, 2, 0, 0]} For position , [6, 2, 6, 0, 0, 1], and roll, {1, 2}, the best moves are {[5, 2, 6, 1, 0, 0]} For position , [7, 1, 6, 0, 0, 1], and roll, {1, 2}, the best moves are {[6, 1, 6, 1, 0, 0]} For position , [7, 2, 5, 0, 0, 1], and roll, {1, 2}, the best moves are {[6, 2, 5, 1, 0, 0]} For position , [8, 1, 5, 0, 0, 1], and roll, {1, 2}, the best moves are {[7, 1, 5, 1, 0, 0]} For position , [4, 2, 0, 8, 1, 0], and roll, {1, 2}, the best moves are {[3, 2, 1, 8, 0, 0]} For position , [5, 1, 0, 8, 1, 0], and roll, {1, 2}, the best moves are {[4, 1, 1, 8, 0, 0]} For position , [11, 1, 1, 1, 0, 1], and roll, {1, 2}, the best moves are {[10, 1, 1, 2, 0, 0]} For position , [6, 1, 7, 1, 0, 0], and roll, {1, 2}, the best moves are {[5, 2, 7, 0, 0, 0]} For position , [6, 2, 6, 1, 0, 0], and roll, {1, 2}, the best moves are {[5, 3, 6, 0, 0, 0]} For position , [7, 1, 6, 1, 0, 0], and roll, {1, 2}, the best moves are {[6, 2, 6, 0, 0, 0]} When the roll was, {1, 2}, and there were, 15, checkers , the exceptions to greedy play were {[{1, 2}, [3, 1, 9, 2, 0, 0], [2, 2, 9, 1, 0, 0]], [{1, 2}, [7, 1, 6, 0, 0, 1], [6, 1, 6, 1, 0, 0]], [{1, 2}, [6, 1, 5, 0, 1, 2], [5, 1, 5, 1, 1, 1]], [{1, 2}, [11, 1, 1, 1, 0, 1], [10, 1, 1, 2, 0, 0]], [{1, 2}, [4, 2, 0, 8, 1, 0], [3, 2, 1, 8, 0, 0]], [{1, 2}, [6, 1, 7, 0, 1, 0], [5, 1, 8, 0, 0, 0]], [{1, 2}, [8, 1, 4, 1, 0, 1], [7, 1, 4, 2, 0, 0]], [{1, 2}, [7, 1, 4, 0, 2, 1], [6, 1, 4, 1, 2, 0]], [{1, 2}, [4, 2, 8, 1, 0, 0], [3, 3, 8, 0, 0, 0]], [{1, 2}, [5, 1, 5, 4, 0, 0], [4, 2, 5, 3, 0, 0]], [{1, 2}, [7, 1, 6, 1, 0, 0], [6, 2, 6, 0, 0, 0]], [{1, 2}, [5, 1, 1, 0, 7, 1], [4, 1, 1, 1, 7, 0]], [{1, 2}, [7, 2, 0, 5, 1, 0], [6, 2, 1, 5, 0, 0]], [{1, 2}, [2, 1, 3, 0, 8, 1], [1, 1, 3, 1, 8, 0]], [{1, 2}, [8, 2, 0, 4, 1, 0], [7, 2, 1, 4, 0, 0]], [{1, 2}, [4, 1, 0, 9, 1, 0], [3, 1, 1, 9, 0, 0]], [{1, 2}, [6, 1, 4, 0, 3, 1], [5, 1, 4, 1, 3, 0]], [{1, 2}, [7, 1, 4, 3, 0, 0], [6, 2, 4, 2, 0, 0]], [{1, 2}, [9, 1, 3, 1, 0, 1], [8, 1, 3, 2, 0, 0]], [{1, 2}, [5, 1, 8, 1, 0, 0], [4, 2, 8, 0, 0, 0]], [{1, 2}, [10, 1, 3, 0, 0, 1], [9, 1, 3, 1, 0, 0]], [{1, 2}, [4, 1, 8, 2, 0, 0], [3, 2, 8, 1, 0, 0]], [{1, 2}, [10, 1, 2, 2, 0, 0], [9, 2, 2, 1, 0, 0]], [{1, 2}, [9, 1, 4, 0, 1, 0], [8, 1, 5, 0, 0, 0]], [{1, 2}, [5, 2, 0, 7, 1, 0], [4, 2, 1, 7, 0, 0]], [{1, 2}, [3, 1, 10, 1, 0, 0], [2, 2, 10, 0, 0, 0]], [{1, 2}, [7, 1, 5, 0, 0, 2], [6, 1, 5, 1, 0, 1]], [{1, 2}, [5, 1, 4, 0, 4, 1], [4, 1, 4, 1, 4, 0]], [{1, 2}, [4, 2, 4, 0, 4, 1], [3, 2, 4, 1, 4, 0]], [{1, 2}, [5, 2, 7, 1, 0, 0], [4, 3, 7, 0, 0, 0]], [{1, 2}, [4, 1, 5, 0, 4, 1], [3, 1, 5, 1, 4, 0]], [{1, 2}, [6, 1, 5, 0, 2, 1], [5, 1, 5, 1, 2, 0]], [{1, 2}, [9, 1, 0, 4, 1, 0], [8, 1, 1, 4, 0, 0]], [{1, 2}, [8, 1, 4, 2, 0, 0], [7, 2, 4, 1, 0, 0]], [{1, 2}, [7, 1, 1, 0, 5, 1], [6, 1, 1, 1, 5, 0]], [{1, 2}, [9, 1, 4, 0, 0, 1], [8, 1, 4, 1, 0, 0]], [{1, 2}, [4, 1, 9, 0, 0, 1], [3, 1, 9, 1, 0, 0]], [{1, 2}, [5, 1, 7, 2, 0, 0], [4, 2, 7, 1, 0, 0]], [{1, 2}, [4, 1, 7, 3, 0, 0], [3, 2, 7, 2, 0, 0]], [{1, 2}, [4, 1, 6, 0, 1, 3], [3, 1, 6, 1, 1, 2]], [{1, 2}, [4, 1, 9, 1, 0, 0], [3, 2, 9, 0, 0, 0]], [{1, 2}, [3, 1, 5, 0, 5, 1], [2, 1, 5, 1, 5, 0]], [{1, 2}, [4, 2, 5, 0, 3, 1], [3, 2, 5, 1, 3, 0]], [{1, 2}, [6, 1, 6, 0, 0, 2], [5, 1, 6, 1, 0, 1]], [{1, 2}, [4, 1, 6, 0, 3, 1], [3, 1, 6, 1, 3, 0]], [{1, 2}, [3, 1, 7, 0, 3, 1], [2, 1, 7, 1, 3, 0]], [{1, 2}, [3, 1, 6, 0, 4, 1], [2, 1, 6, 1, 4, 0]], [{1, 2}, [7, 1, 5, 0, 1, 1], [6, 1, 5, 1, 1, 0]], [{1, 2}, [7, 2, 5, 1, 0, 0], [6, 3, 5, 0, 0, 0]], [{1, 2}, [6, 1, 2, 0, 5, 1], [5, 1, 2, 1, 5, 0]], [{1, 2}, [6, 1, 6, 0, 1, 1], [5, 1, 6, 1, 1, 0]], [{1, 2}, [6, 2, 6, 1, 0, 0], [5, 3, 6, 0, 0, 0]], [{1, 2}, [6, 1, 7, 1, 0, 0], [5, 2, 7, 0, 0, 0]], [{1, 2}, [6, 1, 0, 7, 1, 0], [5, 1, 1, 7, 0, 0]], [{1, 2}, [5, 1, 3, 0, 5, 1], [4, 1, 3, 1, 5, 0]], [{1, 2}, [3, 1, 8, 0, 2, 1], [2, 1, 8, 1, 2, 0]], [{1, 2}, [4, 1, 4, 0, 5, 1], [3, 1, 4, 1, 5, 0]], [{1, 2}, [5, 1, 5, 0, 3, 1], [4, 1, 5, 1, 3, 0]], [{1, 2}, [4, 1, 8, 0, 1, 1], [3, 1, 8, 1, 1, 0]], [{1, 2}, [8, 1, 5, 0, 1, 0], [7, 1, 6, 0, 0, 0]], [{1, 2}, [12, 1, 1, 0, 0, 1], [11, 1, 1, 1, 0, 0]], [{1, 2}, [7, 1, 6, 0, 1, 0], [6, 1, 7, 0, 0, 0]], [{1, 2}, [4, 1, 7, 0, 2, 1], [3, 1, 7, 1, 2, 0]], [{1, 2}, [2, 1, 6, 0, 5, 1], [1, 1, 6, 1, 5, 0]], [{1, 2}, [3, 1, 0, 10, 1, 0], [2, 1, 1, 10, 0, 0]], [{1, 2}, [6, 2, 0, 6, 1, 0], [5, 2, 1, 6, 0, 0]], [{1, 2}, [4, 1, 8, 0, 0, 2], [3, 1, 8, 1, 0, 1]], [{1, 2}, [3, 1, 3, 0, 7, 1], [2, 1, 3, 1, 7, 0]], [{1, 2}, [2, 1, 4, 0, 7, 1], [1, 1, 4, 1, 7, 0]], [{1, 2}, [2, 1, 5, 0, 6, 1], [1, 1, 5, 1, 6, 0]], [{1, 2}, [8, 1, 4, 0, 1, 1], [7, 1, 4, 1, 1, 0]], [{1, 2}, [4, 1, 3, 0, 6, 1], [3, 1, 3, 1, 6, 0]], [{1, 2}, [8, 1, 0, 4, 2, 0], [7, 1, 1, 4, 1, 0]], [{1, 2}, [8, 1, 3, 0, 2, 1], [7, 1, 3, 1, 2, 0]], [{1, 2}, [6, 1, 1, 0, 6, 1], [5, 1, 1, 1, 6, 0]], [{1, 2}, [5, 1, 7, 0, 1, 1], [4, 1, 7, 1, 1, 0]], [{1, 2}, [5, 1, 2, 0, 6, 1], [4, 1, 2, 1, 6, 0]], [{1, 2}, [3, 1, 4, 0, 6, 1], [2, 1, 4, 1, 6, 0]], [{1, 2}, [9, 1, 2, 0, 2, 1], [8, 1, 2, 1, 2, 0]], [{1, 2}, [3, 1, 2, 0, 8, 1], [2, 1, 2, 1, 8, 0]], [{1, 2}, [6, 1, 6, 2, 0, 0], [5, 2, 6, 1, 0, 0]], [{1, 2}, [5, 2, 4, 0, 3, 1], [4, 2, 4, 1, 3, 0]], [{1, 2}, [10, 1, 3, 0, 1, 0], [9, 1, 4, 0, 0, 0]], [{1, 2}, [9, 1, 4, 1, 0, 0], [8, 2, 4, 0, 0, 0]], [{1, 2}, [5, 1, 6, 0, 2, 1], [4, 1, 6, 1, 2, 0]], [{1, 2}, [7, 1, 5, 2, 0, 0], [6, 2, 5, 1, 0, 0]], [{1, 2}, [5, 1, 7, 0, 0, 2], [4, 1, 7, 1, 0, 1]], [{1, 2}, [10, 1, 2, 1, 0, 1], [9, 1, 2, 2, 0, 0]], [{1, 2}, [5, 1, 0, 8, 1, 0], [4, 1, 1, 8, 0, 0]], [{1, 2}, [6, 1, 0, 5, 3, 0], [5, 1, 1, 5, 2, 0]], [{1, 2}, [5, 1, 0, 7, 2, 0], [4, 1, 1, 7, 1, 0]], [{1, 2}, [3, 1, 9, 0, 0, 2], [2, 1, 9, 1, 0, 1]], [{1, 2}, [8, 1, 0, 5, 1, 0], [7, 1, 1, 5, 0, 0]], [{1, 2}, [7, 1, 0, 5, 2, 0], [6, 1, 1, 5, 1, 0]], [{1, 2}, [5, 1, 6, 3, 0, 0], [4, 2, 6, 2, 0, 0]], [{1, 2}, [7, 1, 2, 0, 4, 1], [6, 1, 2, 1, 4, 0]], [{1, 2}, [5, 1, 6, 0, 1, 2], [4, 1, 6, 1, 1, 1]], [{1, 2}, [7, 1, 0, 6, 1, 0], [6, 1, 1, 6, 0, 0]], [{1, 2}, [5, 1, 5, 0, 1, 3], [4, 1, 5, 1, 1, 2]], [{1, 2}, [6, 1, 4, 0, 1, 3], [5, 1, 4, 1, 1, 2]], [{1, 2}, [6, 1, 3, 0, 4, 1], [5, 1, 3, 1, 4, 0]], [{1, 2}, [12, 1, 1, 0, 1, 0], [11, 1, 2, 0, 0, 0]], [{1, 2}, [5, 1, 8, 0, 0, 1], [4, 1, 8, 1, 0, 0]], [{1, 2}, [11, 1, 2, 0, 1, 0], [10, 1, 3, 0, 0, 0]], [{1, 2}, [7, 3, 4, 1, 0, 0], [6, 4, 4, 0, 0, 0]], [{1, 2}, [9, 3, 2, 1, 0, 0], [8, 4, 2, 0, 0, 0]], [{1, 2}, [11, 1, 2, 1, 0, 0], [10, 2, 2, 0, 0, 0]], [{1, 2}, [10, 1, 3, 1, 0, 0], [9, 2, 3, 0, 0, 0]], [{1, 2}, [9, 2, 3, 1, 0, 0], [8, 3, 3, 0, 0, 0]], [{1, 2}, [8, 3, 3, 1, 0, 0], [7, 4, 3, 0, 0, 0]], [{1, 2}, [8, 2, 4, 0, 1, 0], [7, 2, 5, 0, 0, 0]], [{1, 2}, [4, 1, 2, 0, 7, 1], [3, 1, 2, 1, 7, 0]], [{1, 2}, [8, 1, 2, 0, 3, 1], [7, 1, 2, 1, 3, 0]], [{1, 2}, [7, 2, 5, 0, 0, 1], [6, 2, 5, 1, 0, 0]], [{1, 2}, [8, 1, 5, 0, 0, 1], [7, 1, 5, 1, 0, 0]], [{1, 2}, [6, 1, 0, 6, 2, 0], [5, 1, 1, 6, 1, 0]], [{1, 2}, [6, 1, 7, 0, 0, 1], [5, 1, 7, 1, 0, 0]], [{1, 2}, [8, 1, 5, 1, 0, 0], [7, 2, 5, 0, 0, 0]], [{1, 2}, [7, 1, 5, 1, 0, 1], [6, 1, 5, 2, 0, 0]], [{1, 2}, [4, 1, 1, 0, 8, 1], [3, 1, 1, 1, 8, 0]], [{1, 2}, [8, 2, 4, 1, 0, 0], [7, 3, 4, 0, 0, 0]], [{1, 2}, [7, 1, 3, 0, 3, 1], [6, 1, 3, 1, 3, 0]], [{1, 2}, [6, 2, 6, 0, 0, 1], [5, 2, 6, 1, 0, 0]], [{1, 2}, [10, 1, 0, 3, 1, 0], [9, 1, 1, 3, 0, 0]], [{1, 2}, [8, 2, 4, 0, 0, 1], [7, 2, 4, 1, 0, 0]], [{1, 2}, [6, 1, 5, 3, 0, 0], [5, 2, 5, 2, 0, 0]], [{1, 2}, [8, 1, 4, 0, 0, 2], [7, 1, 4, 1, 0, 1]], [{1, 2}, [6, 1, 6, 1, 0, 1], [5, 1, 6, 2, 0, 0]], [{1, 2}, [11, 1, 2, 0, 0, 1], [10, 1, 2, 1, 0, 0]], [{1, 2}, [6, 2, 3, 0, 3, 1], [5, 2, 3, 1, 3, 0]], [{1, 2}, [4, 1, 6, 4, 0, 0], [3, 2, 6, 3, 0, 0]]} For position , [2, 0, 1, 11, 0, 1], and roll, {1, 3}, the best moves are {[1, 0, 2, 11, 0, 0]} For position , [2, 1, 1, 10, 0, 1], and roll, {1, 3}, the best moves are {[1, 1, 2, 10, 0, 0]} For position , [3, 0, 1, 10, 0, 1], and roll, {1, 3}, the best moves are {[2, 0, 2, 10, 0, 0]} For position , [4, 3, 1, 5, 1, 1], and roll, {1, 3}, the best moves are {[3, 3, 2, 5, 1, 0]} For position , [5, 2, 1, 5, 1, 1], and roll, {1, 3}, the best moves are {[4, 2, 2, 5, 1, 0]} For position , [5, 3, 1, 4, 1, 1], and roll, {1, 3}, the best moves are {[4, 3, 2, 4, 1, 0]} For position , [6, 2, 1, 4, 1, 1], and roll, {1, 3}, the best moves are {[5, 2, 2, 4, 1, 0]} For position , [4, 4, 1, 4, 1, 1], and roll, {1, 3}, the best moves are {[3, 4, 2, 4, 1, 0]} For position , [4, 2, 1, 6, 1, 1], and roll, {1, 3}, the best moves are {[3, 2, 2, 6, 1, 0]} For position , [10, 0, 4, 0, 1, 0], and roll, {1, 3}, the best moves are {[9, 1, 4, 0, 0, 0]} For position , [2, 1, 1, 9, 0, 2], and roll, {1, 3}, the best moves are {[1, 1, 2, 9, 0, 1]} For position , [3, 0, 1, 9, 0, 2], and roll, {1, 3}, the best moves are {[2, 0, 2, 9, 0, 1]} For position , [3, 1, 1, 8, 0, 2], and roll, {1, 3}, the best moves are {[2, 1, 2, 8, 0, 1]} For position , [4, 0, 1, 8, 0, 2], and roll, {1, 3}, the best moves are {[3, 0, 2, 8, 0, 1]} For position , [3, 2, 1, 7, 0, 2], and roll, {1, 3}, the best moves are {[2, 2, 2, 7, 0, 1]} For position , [4, 1, 1, 7, 0, 2], and roll, {1, 3}, the best moves are {[3, 1, 2, 7, 0, 1]} For position , [5, 0, 1, 7, 0, 2], and roll, {1, 3}, the best moves are {[4, 0, 2, 7, 0, 1]} For position , [3, 4, 1, 5, 0, 2], and roll, {1, 3}, the best moves are {[2, 4, 2, 5, 0, 1]} For position , [4, 3, 1, 5, 0, 2], and roll, {1, 3}, the best moves are {[3, 3, 2, 5, 0, 1]} For position , [5, 2, 1, 5, 0, 2], and roll, {1, 3}, the best moves are {[4, 2, 2, 5, 0, 1]} For position , [6, 1, 1, 5, 0, 2], and roll, {1, 3}, the best moves are {[5, 1, 2, 5, 0, 1]} For position , [5, 3, 1, 4, 0, 2], and roll, {1, 3}, the best moves are {[4, 3, 2, 4, 0, 1]} For position , [6, 2, 1, 4, 0, 2], and roll, {1, 3}, the best moves are {[5, 2, 2, 4, 0, 1]} For position , [4, 4, 1, 4, 0, 2], and roll, {1, 3}, the best moves are {[3, 4, 2, 4, 0, 1]} For position , [2, 0, 1, 10, 0, 2], and roll, {1, 3}, the best moves are {[1, 0, 2, 10, 0, 1]} For position , [3, 3, 1, 6, 0, 2], and roll, {1, 3}, the best moves are {[2, 3, 2, 6, 0, 1]} For position , [4, 2, 1, 6, 0, 2], and roll, {1, 3}, the best moves are {[3, 2, 2, 6, 0, 1]} For position , [5, 1, 1, 6, 0, 2], and roll, {1, 3}, the best moves are {[4, 1, 2, 6, 0, 1]} For position , [6, 0, 1, 6, 0, 2], and roll, {1, 3}, the best moves are {[5, 0, 2, 6, 0, 1]} For position , [4, 1, 1, 6, 0, 3], and roll, {1, 3}, the best moves are {[3, 1, 2, 6, 0, 2]} For position , [3, 1, 1, 7, 0, 3], and roll, {1, 3}, the best moves are {[2, 1, 2, 7, 0, 2]} For position , [4, 0, 1, 7, 0, 3], and roll, {1, 3}, the best moves are {[3, 0, 2, 7, 0, 2]} For position , [3, 0, 1, 8, 0, 3], and roll, {1, 3}, the best moves are {[2, 0, 2, 8, 0, 2]} For position , [12, 0, 2, 0, 1, 0], and roll, {1, 3}, the best moves are {[11, 1, 2, 0, 0, 0]} For position , [7, 1, 1, 5, 1, 0], and roll, {1, 3}, the best moves are {[6, 2, 1, 5, 0, 0]} For position , [8, 0, 1, 5, 1, 0], and roll, {1, 3}, the best moves are {[7, 1, 1, 5, 0, 0]} For position , [10, 0, 1, 3, 1, 0], and roll, {1, 3}, the best moves are {[9, 1, 1, 3, 0, 0]} For position , [6, 0, 8, 0, 1, 0], and roll, {1, 3}, the best moves are {[5, 1, 8, 0, 0, 0]} For position , [9, 0, 5, 0, 1, 0], and roll, {1, 3}, the best moves are {[8, 1, 5, 0, 0, 0]} For position , [8, 1, 5, 0, 1, 0], and roll, {1, 3}, the best moves are {[7, 2, 5, 0, 0, 0]} For position , [7, 0, 1, 5, 2, 0], and roll, {1, 3}, the best moves are {[6, 1, 1, 5, 1, 0]} For position , [8, 1, 1, 4, 1, 0], and roll, {1, 3}, the best moves are {[7, 2, 1, 4, 0, 0]} For position , [9, 0, 1, 4, 1, 0], and roll, {1, 3}, the best moves are {[8, 1, 1, 4, 0, 0]} For position , [10, 1, 1, 2, 0, 1], and roll, {1, 3}, the best moves are {[9, 1, 2, 2, 0, 0]} For position , [9, 2, 1, 2, 0, 1], and roll, {1, 3}, the best moves are {[8, 2, 2, 2, 0, 0]} For position , [8, 3, 1, 2, 0, 1], and roll, {1, 3}, the best moves are {[7, 3, 2, 2, 0, 0]} For position , [7, 4, 1, 2, 0, 1], and roll, {1, 3}, the best moves are {[6, 4, 2, 2, 0, 0]} For position , [6, 5, 1, 2, 0, 1], and roll, {1, 3}, the best moves are {[5, 5, 2, 2, 0, 0]} For position , [5, 6, 1, 2, 0, 1], and roll, {1, 3}, the best moves are {[4, 6, 2, 2, 0, 0]} For position , [4, 7, 1, 2, 0, 1], and roll, {1, 3}, the best moves are {[3, 7, 2, 2, 0, 0]} For position , [8, 0, 6, 0, 1, 0], and roll, {1, 3}, the best moves are {[7, 1, 6, 0, 0, 0]} For position , [6, 1, 1, 6, 1, 0], and roll, {1, 3}, the best moves are {[5, 2, 1, 6, 0, 0]} For position , [7, 0, 1, 6, 1, 0], and roll, {1, 3}, the best moves are {[6, 1, 1, 6, 0, 0]} For position , [11, 0, 3, 0, 1, 0], and roll, {1, 3}, the best moves are {[10, 1, 3, 0, 0, 0]} For position , [7, 0, 7, 0, 1, 0], and roll, {1, 3}, the best moves are {[6, 1, 7, 0, 0, 0]} For position , [6, 0, 1, 5, 3, 0], and roll, {1, 3}, the best moves are {[5, 1, 1, 5, 2, 0]} For position , [6, 0, 1, 6, 2, 0], and roll, {1, 3}, the best moves are {[5, 1, 1, 6, 1, 0]} For position , [3, 6, 1, 4, 0, 1], and roll, {1, 3}, the best moves are {[2, 6, 2, 4, 0, 0]} For position , [4, 0, 1, 9, 0, 1], and roll, {1, 3}, the best moves are {[3, 0, 2, 9, 0, 0]} For position , [3, 1, 1, 9, 0, 1], and roll, {1, 3}, the best moves are {[2, 1, 2, 9, 0, 0]} For position , [2, 2, 1, 9, 0, 1], and roll, {1, 3}, the best moves are {[1, 2, 2, 9, 0, 0]} For position , [5, 1, 1, 7, 1, 0], and roll, {1, 3}, the best moves are {[4, 2, 1, 7, 0, 0]} For position , [6, 0, 1, 7, 1, 0], and roll, {1, 3}, the best moves are {[5, 1, 1, 7, 0, 0]} For position , [8, 0, 1, 4, 2, 0], and roll, {1, 3}, the best moves are {[7, 1, 1, 4, 1, 0]} For position , [5, 0, 1, 7, 2, 0], and roll, {1, 3}, the best moves are {[4, 1, 1, 7, 1, 0]} For position , [3, 0, 1, 10, 1, 0], and roll, {1, 3}, the best moves are {[2, 1, 1, 10, 0, 0]} For position , [6, 6, 1, 1, 0, 1], and roll, {1, 3}, the best moves are {[5, 6, 2, 1, 0, 0]} For position , [7, 5, 1, 1, 0, 1], and roll, {1, 3}, the best moves are {[6, 5, 2, 1, 0, 0]} For position , [8, 4, 1, 1, 0, 1], and roll, {1, 3}, the best moves are {[7, 4, 2, 1, 0, 0]} For position , [5, 7, 1, 1, 0, 1], and roll, {1, 3}, the best moves are {[4, 7, 2, 1, 0, 0]} For position , [4, 0, 1, 9, 1, 0], and roll, {1, 3}, the best moves are {[3, 1, 1, 9, 0, 0]} For position , [4, 1, 1, 8, 1, 0], and roll, {1, 3}, the best moves are {[3, 2, 1, 8, 0, 0]} For position , [5, 0, 1, 8, 1, 0], and roll, {1, 3}, the best moves are {[4, 1, 1, 8, 0, 0]} For position , [5, 0, 1, 8, 0, 1], and roll, {1, 3}, the best moves are {[4, 0, 2, 8, 0, 0]} For position , [4, 1, 1, 8, 0, 1], and roll, {1, 3}, the best moves are {[3, 1, 2, 8, 0, 0]} For position , [3, 2, 1, 8, 0, 1], and roll, {1, 3}, the best moves are {[2, 2, 2, 8, 0, 0]} For position , [2, 3, 1, 8, 0, 1], and roll, {1, 3}, the best moves are {[1, 3, 2, 8, 0, 0]} For position , [9, 3, 1, 1, 0, 1], and roll, {1, 3}, the best moves are {[8, 3, 2, 1, 0, 0]} For position , [10, 2, 1, 1, 0, 1], and roll, {1, 3}, the best moves are {[9, 2, 2, 1, 0, 0]} For position , [8, 1, 1, 4, 0, 1], and roll, {1, 3}, the best moves are {[7, 1, 2, 4, 0, 0]} For position , [7, 2, 1, 4, 0, 1], and roll, {1, 3}, the best moves are {[6, 2, 2, 4, 0, 0]} For position , [7, 0, 1, 6, 0, 1], and roll, {1, 3}, the best moves are {[6, 0, 2, 6, 0, 0]} For position , [6, 1, 1, 6, 0, 1], and roll, {1, 3}, the best moves are {[5, 1, 2, 6, 0, 0]} For position , [5, 2, 1, 6, 0, 1], and roll, {1, 3}, the best moves are {[4, 2, 2, 6, 0, 0]} For position , [4, 3, 1, 6, 0, 1], and roll, {1, 3}, the best moves are {[3, 3, 2, 6, 0, 0]} For position , [3, 4, 1, 6, 0, 1], and roll, {1, 3}, the best moves are {[2, 4, 2, 6, 0, 0]} For position , [9, 1, 1, 3, 0, 1], and roll, {1, 3}, the best moves are {[8, 1, 2, 3, 0, 0]} For position , [8, 2, 1, 3, 0, 1], and roll, {1, 3}, the best moves are {[7, 2, 2, 3, 0, 0]} For position , [7, 3, 1, 3, 0, 1], and roll, {1, 3}, the best moves are {[6, 3, 2, 3, 0, 0]} For position , [6, 4, 1, 3, 0, 1], and roll, {1, 3}, the best moves are {[5, 4, 2, 3, 0, 0]} For position , [5, 5, 1, 3, 0, 1], and roll, {1, 3}, the best moves are {[4, 5, 2, 3, 0, 0]} For position , [4, 6, 1, 3, 0, 1], and roll, {1, 3}, the best moves are {[3, 6, 2, 3, 0, 0]} For position , [3, 7, 1, 3, 0, 1], and roll, {1, 3}, the best moves are {[2, 7, 2, 3, 0, 0]} For position , [6, 3, 1, 4, 0, 1], and roll, {1, 3}, the best moves are {[5, 3, 2, 4, 0, 0]} For position , [5, 4, 1, 4, 0, 1], and roll, {1, 3}, the best moves are {[4, 4, 2, 4, 0, 0]} For position , [4, 5, 1, 4, 0, 1], and roll, {1, 3}, the best moves are {[3, 5, 2, 4, 0, 0]} For position , [4, 4, 1, 5, 0, 1], and roll, {1, 3}, the best moves are {[3, 4, 2, 5, 0, 0]} For position , [3, 5, 1, 5, 0, 1], and roll, {1, 3}, the best moves are {[2, 5, 2, 5, 0, 0]} For position , [8, 0, 1, 5, 0, 1], and roll, {1, 3}, the best moves are {[7, 0, 2, 5, 0, 0]} For position , [7, 1, 1, 5, 0, 1], and roll, {1, 3}, the best moves are {[6, 1, 2, 5, 0, 0]} For position , [6, 2, 1, 5, 0, 1], and roll, {1, 3}, the best moves are {[5, 2, 2, 5, 0, 0]} For position , [5, 3, 1, 5, 0, 1], and roll, {1, 3}, the best moves are {[4, 3, 2, 5, 0, 0]} For position , [5, 1, 1, 7, 0, 1], and roll, {1, 3}, the best moves are {[4, 1, 2, 7, 0, 0]} For position , [4, 2, 1, 7, 0, 1], and roll, {1, 3}, the best moves are {[3, 2, 2, 7, 0, 0]} For position , [3, 3, 1, 7, 0, 1], and roll, {1, 3}, the best moves are {[2, 3, 2, 7, 0, 0]} For position , [2, 4, 1, 7, 0, 1], and roll, {1, 3}, the best moves are {[1, 4, 2, 7, 0, 0]} For position , [6, 0, 1, 7, 0, 1], and roll, {1, 3}, the best moves are {[5, 0, 2, 7, 0, 0]} When the roll was, {1, 3}, and there were, 15, checkers , the exceptions to greedy play were {[{1, 3}, [2, 0, 1, 11, 0, 1], [1, 0, 2, 11, 0, 0]], [{1, 3}, [2, 1, 1, 10, 0, 1], [1, 1, 2, 10, 0, 0]], [{1, 3}, [4, 1, 1, 8, 0, 1], [3, 1, 2, 8, 0, 0]], [{1, 3}, [3, 0, 1, 10, 0, 1], [2, 0, 2, 10, 0, 0]], [{1, 3}, [4, 2, 1, 6, 1, 1], [3, 2, 2, 6, 1, 0]], [{1, 3}, [2, 1, 1, 9, 0, 2], [1, 1, 2, 9, 0, 1]], [{1, 3}, [10, 0, 4, 0, 1, 0], [9, 1, 4, 0, 0, 0]], [{1, 3}, [3, 1, 1, 8, 0, 2], [2, 1, 2, 8, 0, 1]], [{1, 3}, [3, 0, 1, 9, 0, 2], [2, 0, 2, 9, 0, 1]], [{1, 3}, [3, 2, 1, 7, 0, 2], [2, 2, 2, 7, 0, 1]], [{1, 3}, [4, 0, 1, 8, 0, 2], [3, 0, 2, 8, 0, 1]], [{1, 3}, [5, 0, 1, 7, 0, 2], [4, 0, 2, 7, 0, 1]], [{1, 3}, [4, 3, 1, 5, 0, 2], [3, 3, 2, 5, 0, 1]], [{1, 3}, [3, 4, 1, 5, 0, 2], [2, 4, 2, 5, 0, 1]], [{1, 3}, [4, 3, 1, 5, 1, 1], [3, 3, 2, 5, 1, 0]], [{1, 3}, [4, 1, 1, 7, 0, 2], [3, 1, 2, 7, 0, 1]], [{1, 3}, [5, 1, 1, 7, 0, 1], [4, 1, 2, 7, 0, 0]], [{1, 3}, [5, 2, 1, 5, 1, 1], [4, 2, 2, 5, 1, 0]], [{1, 3}, [2, 0, 1, 10, 0, 2], [1, 0, 2, 10, 0, 1]], [{1, 3}, [3, 3, 1, 6, 0, 2], [2, 3, 2, 6, 0, 1]], [{1, 3}, [5, 3, 1, 4, 1, 1], [4, 3, 2, 4, 1, 0]], [{1, 3}, [4, 2, 1, 6, 0, 2], [3, 2, 2, 6, 0, 1]], [{1, 3}, [5, 1, 1, 6, 0, 2], [4, 1, 2, 6, 0, 1]], [{1, 3}, [6, 0, 1, 6, 0, 2], [5, 0, 2, 6, 0, 1]], [{1, 3}, [4, 1, 1, 6, 0, 3], [3, 1, 2, 6, 0, 2]], [{1, 3}, [6, 2, 1, 4, 1, 1], [5, 2, 2, 4, 1, 0]], [{1, 3}, [3, 1, 1, 7, 0, 3], [2, 1, 2, 7, 0, 2]], [{1, 3}, [4, 0, 1, 7, 0, 3], [3, 0, 2, 7, 0, 2]], [{1, 3}, [12, 0, 2, 0, 1, 0], [11, 1, 2, 0, 0, 0]], [{1, 3}, [4, 4, 1, 4, 1, 1], [3, 4, 2, 4, 1, 0]], [{1, 3}, [5, 2, 1, 5, 0, 2], [4, 2, 2, 5, 0, 1]], [{1, 3}, [3, 0, 1, 8, 0, 3], [2, 0, 2, 8, 0, 2]], [{1, 3}, [6, 1, 1, 5, 0, 2], [5, 1, 2, 5, 0, 1]], [{1, 3}, [8, 0, 6, 0, 1, 0], [7, 1, 6, 0, 0, 0]], [{1, 3}, [5, 0, 1, 8, 1, 0], [4, 1, 1, 8, 0, 0]], [{1, 3}, [5, 3, 1, 4, 0, 2], [4, 3, 2, 4, 0, 1]], [{1, 3}, [5, 5, 1, 3, 0, 1], [4, 5, 2, 3, 0, 0]], [{1, 3}, [6, 2, 1, 4, 0, 2], [5, 2, 2, 4, 0, 1]], [{1, 3}, [11, 0, 3, 0, 1, 0], [10, 1, 3, 0, 0, 0]], [{1, 3}, [10, 2, 1, 1, 0, 1], [9, 2, 2, 1, 0, 0]], [{1, 3}, [2, 3, 1, 8, 0, 1], [1, 3, 2, 8, 0, 0]], [{1, 3}, [3, 6, 1, 4, 0, 1], [2, 6, 2, 4, 0, 0]], [{1, 3}, [4, 4, 1, 4, 0, 2], [3, 4, 2, 4, 0, 1]], [{1, 3}, [5, 4, 1, 4, 0, 1], [4, 4, 2, 4, 0, 0]], [{1, 3}, [4, 0, 1, 9, 0, 1], [3, 0, 2, 9, 0, 0]], [{1, 3}, [3, 1, 1, 9, 0, 1], [2, 1, 2, 9, 0, 0]], [{1, 3}, [2, 2, 1, 9, 0, 1], [1, 2, 2, 9, 0, 0]], [{1, 3}, [7, 1, 1, 5, 1, 0], [6, 2, 1, 5, 0, 0]], [{1, 3}, [5, 0, 1, 7, 2, 0], [4, 1, 1, 7, 1, 0]], [{1, 3}, [3, 0, 1, 10, 1, 0], [2, 1, 1, 10, 0, 0]], [{1, 3}, [8, 1, 5, 0, 1, 0], [7, 2, 5, 0, 0, 0]], [{1, 3}, [4, 0, 1, 9, 1, 0], [3, 1, 1, 9, 0, 0]], [{1, 3}, [7, 0, 1, 5, 2, 0], [6, 1, 1, 5, 1, 0]], [{1, 3}, [8, 1, 1, 4, 1, 0], [7, 2, 1, 4, 0, 0]], [{1, 3}, [4, 1, 1, 8, 1, 0], [3, 2, 1, 8, 0, 0]], [{1, 3}, [9, 0, 1, 4, 1, 0], [8, 1, 1, 4, 0, 0]], [{1, 3}, [4, 5, 1, 4, 0, 1], [3, 5, 2, 4, 0, 0]], [{1, 3}, [10, 1, 1, 2, 0, 1], [9, 1, 2, 2, 0, 0]], [{1, 3}, [3, 2, 1, 8, 0, 1], [2, 2, 2, 8, 0, 0]], [{1, 3}, [6, 5, 1, 2, 0, 1], [5, 5, 2, 2, 0, 0]], [{1, 3}, [9, 2, 1, 2, 0, 1], [8, 2, 2, 2, 0, 0]], [{1, 3}, [8, 3, 1, 2, 0, 1], [7, 3, 2, 2, 0, 0]], [{1, 3}, [7, 4, 1, 2, 0, 1], [6, 4, 2, 2, 0, 0]], [{1, 3}, [5, 6, 1, 2, 0, 1], [4, 6, 2, 2, 0, 0]], [{1, 3}, [4, 7, 1, 2, 0, 1], [3, 7, 2, 2, 0, 0]], [{1, 3}, [6, 1, 1, 6, 1, 0], [5, 2, 1, 6, 0, 0]], [{1, 3}, [4, 4, 1, 5, 0, 1], [3, 4, 2, 5, 0, 0]], [{1, 3}, [7, 0, 7, 0, 1, 0], [6, 1, 7, 0, 0, 0]], [{1, 3}, [7, 0, 1, 6, 1, 0], [6, 1, 1, 6, 0, 0]], [{1, 3}, [6, 0, 1, 5, 3, 0], [5, 1, 1, 5, 2, 0]], [{1, 3}, [8, 0, 1, 5, 1, 0], [7, 1, 1, 5, 0, 0]], [{1, 3}, [8, 1, 1, 4, 0, 1], [7, 1, 2, 4, 0, 0]], [{1, 3}, [6, 0, 1, 6, 2, 0], [5, 1, 1, 6, 1, 0]], [{1, 3}, [5, 3, 1, 5, 0, 1], [4, 3, 2, 5, 0, 0]], [{1, 3}, [7, 2, 1, 4, 0, 1], [6, 2, 2, 4, 0, 0]], [{1, 3}, [5, 1, 1, 7, 1, 0], [4, 2, 1, 7, 0, 0]], [{1, 3}, [4, 2, 1, 7, 0, 1], [3, 2, 2, 7, 0, 0]], [{1, 3}, [3, 3, 1, 7, 0, 1], [2, 3, 2, 7, 0, 0]], [{1, 3}, [6, 0, 1, 7, 1, 0], [5, 1, 1, 7, 0, 0]], [{1, 3}, [9, 3, 1, 1, 0, 1], [8, 3, 2, 1, 0, 0]], [{1, 3}, [3, 5, 1, 5, 0, 1], [2, 5, 2, 5, 0, 0]], [{1, 3}, [2, 4, 1, 7, 0, 1], [1, 4, 2, 7, 0, 0]], [{1, 3}, [5, 0, 1, 8, 0, 1], [4, 0, 2, 8, 0, 0]], [{1, 3}, [8, 0, 1, 4, 2, 0], [7, 1, 1, 4, 1, 0]], [{1, 3}, [6, 6, 1, 1, 0, 1], [5, 6, 2, 1, 0, 0]], [{1, 3}, [7, 5, 1, 1, 0, 1], [6, 5, 2, 1, 0, 0]], [{1, 3}, [7, 0, 1, 6, 0, 1], [6, 0, 2, 6, 0, 0]], [{1, 3}, [8, 4, 1, 1, 0, 1], [7, 4, 2, 1, 0, 0]], [{1, 3}, [8, 0, 1, 5, 0, 1], [7, 0, 2, 5, 0, 0]], [{1, 3}, [5, 7, 1, 1, 0, 1], [4, 7, 2, 1, 0, 0]], [{1, 3}, [4, 6, 1, 3, 0, 1], [3, 6, 2, 3, 0, 0]], [{1, 3}, [6, 1, 1, 6, 0, 1], [5, 1, 2, 6, 0, 0]], [{1, 3}, [5, 2, 1, 6, 0, 1], [4, 2, 2, 6, 0, 0]], [{1, 3}, [4, 3, 1, 6, 0, 1], [3, 3, 2, 6, 0, 0]], [{1, 3}, [7, 1, 1, 5, 0, 1], [6, 1, 2, 5, 0, 0]], [{1, 3}, [3, 4, 1, 6, 0, 1], [2, 4, 2, 6, 0, 0]], [{1, 3}, [9, 1, 1, 3, 0, 1], [8, 1, 2, 3, 0, 0]], [{1, 3}, [10, 0, 1, 3, 1, 0], [9, 1, 1, 3, 0, 0]], [{1, 3}, [8, 2, 1, 3, 0, 1], [7, 2, 2, 3, 0, 0]], [{1, 3}, [7, 3, 1, 3, 0, 1], [6, 3, 2, 3, 0, 0]], [{1, 3}, [6, 4, 1, 3, 0, 1], [5, 4, 2, 3, 0, 0]], [{1, 3}, [6, 0, 8, 0, 1, 0], [5, 1, 8, 0, 0, 0]], [{1, 3}, [6, 2, 1, 5, 0, 1], [5, 2, 2, 5, 0, 0]], [{1, 3}, [3, 7, 1, 3, 0, 1], [2, 7, 2, 3, 0, 0]], [{1, 3}, [6, 0, 1, 7, 0, 1], [5, 0, 2, 7, 0, 0]], [{1, 3}, [9, 0, 5, 0, 1, 0], [8, 1, 5, 0, 0, 0]], [{1, 3}, [6, 3, 1, 4, 0, 1], [5, 3, 2, 4, 0, 0]]} For position , [4, 0, 8, 1, 1, 1], and roll, {1, 4}, the best moves are {[3, 1, 8, 1, 1, 0]} For position , [5, 0, 7, 1, 1, 1], and roll, {1, 4}, the best moves are {[4, 1, 7, 1, 1, 0]} For position , [3, 0, 8, 1, 2, 1], and roll, {1, 4}, the best moves are {[2, 1, 8, 1, 2, 0]} For position , [7, 0, 4, 1, 2, 1], and roll, {1, 4}, the best moves are {[6, 1, 4, 1, 2, 0]} For position , [8, 0, 3, 1, 2, 1], and roll, {1, 4}, the best moves are {[7, 1, 3, 1, 2, 0]} For position , [6, 0, 5, 1, 2, 1], and roll, {1, 4}, the best moves are {[5, 1, 5, 1, 2, 0]} For position , [5, 0, 6, 1, 2, 1], and roll, {1, 4}, the best moves are {[4, 1, 6, 1, 2, 0]} For position , [4, 0, 7, 1, 2, 1], and roll, {1, 4}, the best moves are {[3, 1, 7, 1, 2, 0]} For position , [6, 0, 4, 1, 3, 1], and roll, {1, 4}, the best moves are {[5, 1, 4, 1, 3, 0]} For position , [5, 1, 4, 1, 3, 1], and roll, {1, 4}, the best moves are {[4, 2, 4, 1, 3, 0]} For position , [8, 0, 2, 1, 3, 1], and roll, {1, 4}, the best moves are {[7, 1, 2, 1, 3, 0]} For position , [7, 0, 3, 1, 3, 1], and roll, {1, 4}, the best moves are {[6, 1, 3, 1, 3, 0]} For position , [6, 1, 3, 1, 3, 1], and roll, {1, 4}, the best moves are {[5, 2, 3, 1, 3, 0]} For position , [5, 0, 5, 1, 3, 1], and roll, {1, 4}, the best moves are {[4, 1, 5, 1, 3, 0]} For position , [4, 1, 5, 1, 3, 1], and roll, {1, 4}, the best moves are {[3, 2, 5, 1, 3, 0]} For position , [9, 0, 2, 1, 2, 1], and roll, {1, 4}, the best moves are {[8, 1, 2, 1, 2, 0]} For position , [4, 0, 6, 1, 3, 1], and roll, {1, 4}, the best moves are {[3, 1, 6, 1, 3, 0]} For position , [3, 0, 7, 1, 3, 1], and roll, {1, 4}, the best moves are {[2, 1, 7, 1, 3, 0]} For position , [7, 0, 2, 1, 4, 1], and roll, {1, 4}, the best moves are {[6, 1, 2, 1, 4, 0]} For position , [6, 0, 3, 1, 4, 1], and roll, {1, 4}, the best moves are {[5, 1, 3, 1, 4, 0]} For position , [5, 0, 4, 1, 4, 1], and roll, {1, 4}, the best moves are {[4, 1, 4, 1, 4, 0]} For position , [4, 1, 4, 1, 4, 1], and roll, {1, 4}, the best moves are {[3, 2, 4, 1, 4, 0]} For position , [4, 0, 5, 1, 4, 1], and roll, {1, 4}, the best moves are {[3, 1, 5, 1, 4, 0]} For position , [3, 0, 6, 1, 4, 1], and roll, {1, 4}, the best moves are {[2, 1, 6, 1, 4, 0]} For position , [6, 0, 1, 1, 6, 1], and roll, {1, 4}, the best moves are {[5, 1, 1, 1, 6, 0]} For position , [5, 0, 2, 1, 6, 1], and roll, {1, 4}, the best moves are {[4, 1, 2, 1, 6, 0]} For position , [4, 0, 3, 1, 6, 1], and roll, {1, 4}, the best moves are {[3, 1, 3, 1, 6, 0]} For position , [3, 0, 4, 1, 6, 1], and roll, {1, 4}, the best moves are {[2, 1, 4, 1, 6, 0]} For position , [2, 0, 5, 1, 6, 1], and roll, {1, 4}, the best moves are {[1, 1, 5, 1, 6, 0]} For position , [4, 0, 4, 1, 5, 1], and roll, {1, 4}, the best moves are {[3, 1, 4, 1, 5, 0]} For position , [3, 0, 5, 1, 5, 1], and roll, {1, 4}, the best moves are {[2, 1, 5, 1, 5, 0]} For position , [7, 0, 1, 1, 5, 1], and roll, {1, 4}, the best moves are {[6, 1, 1, 1, 5, 0]} For position , [6, 0, 2, 1, 5, 1], and roll, {1, 4}, the best moves are {[5, 1, 2, 1, 5, 0]} For position , [5, 0, 3, 1, 5, 1], and roll, {1, 4}, the best moves are {[4, 1, 3, 1, 5, 0]} For position , [2, 0, 6, 1, 5, 1], and roll, {1, 4}, the best moves are {[1, 1, 6, 1, 5, 0]} For position , [4, 0, 1, 1, 8, 1], and roll, {1, 4}, the best moves are {[3, 1, 1, 1, 8, 0]} For position , [3, 0, 2, 1, 8, 1], and roll, {1, 4}, the best moves are {[2, 1, 2, 1, 8, 0]} For position , [2, 0, 3, 1, 8, 1], and roll, {1, 4}, the best moves are {[1, 1, 3, 1, 8, 0]} For position , [3, 0, 3, 1, 7, 1], and roll, {1, 4}, the best moves are {[2, 1, 3, 1, 7, 0]} For position , [2, 0, 4, 1, 7, 1], and roll, {1, 4}, the best moves are {[1, 1, 4, 1, 7, 0]} For position , [5, 0, 1, 1, 7, 1], and roll, {1, 4}, the best moves are {[4, 1, 1, 1, 7, 0]} For position , [4, 0, 2, 1, 7, 1], and roll, {1, 4}, the best moves are {[3, 1, 2, 1, 7, 0]} For position , [6, 0, 6, 1, 0, 2], and roll, {1, 4}, the best moves are {[5, 1, 6, 1, 0, 1]} For position , [7, 0, 5, 1, 0, 2], and roll, {1, 4}, the best moves are {[6, 1, 5, 1, 0, 1]} For position , [8, 0, 4, 1, 0, 2], and roll, {1, 4}, the best moves are {[7, 1, 4, 1, 0, 1]} For position , [3, 0, 9, 1, 0, 2], and roll, {1, 4}, the best moves are {[2, 1, 9, 1, 0, 1]} For position , [4, 0, 8, 1, 0, 2], and roll, {1, 4}, the best moves are {[3, 1, 8, 1, 0, 1]} For position , [5, 0, 7, 1, 0, 2], and roll, {1, 4}, the best moves are {[4, 1, 7, 1, 0, 1]} For position , [6, 0, 5, 1, 1, 2], and roll, {1, 4}, the best moves are {[5, 1, 5, 1, 1, 1]} For position , [5, 0, 6, 1, 1, 2], and roll, {1, 4}, the best moves are {[4, 1, 6, 1, 1, 1]} For position , [4, 0, 6, 1, 1, 3], and roll, {1, 4}, the best moves are {[3, 1, 6, 1, 1, 2]} For position , [6, 0, 4, 1, 1, 3], and roll, {1, 4}, the best moves are {[5, 1, 4, 1, 1, 2]} For position , [5, 0, 5, 1, 1, 3], and roll, {1, 4}, the best moves are {[4, 1, 5, 1, 1, 2]} For position , [11, 0, 1, 2, 0, 1], and roll, {1, 4}, the best moves are {[10, 1, 1, 2, 0, 0]} For position , [10, 0, 2, 2, 0, 1], and roll, {1, 4}, the best moves are {[9, 1, 2, 2, 0, 0]} For position , [8, 1, 4, 1, 0, 1], and roll, {1, 4}, the best moves are {[7, 2, 4, 1, 0, 0]} For position , [9, 0, 4, 1, 0, 1], and roll, {1, 4}, the best moves are {[8, 1, 4, 1, 0, 0]} For position , [4, 0, 9, 1, 0, 1], and roll, {1, 4}, the best moves are {[3, 1, 9, 1, 0, 0]} For position , [5, 0, 8, 1, 0, 1], and roll, {1, 4}, the best moves are {[4, 1, 8, 1, 0, 0]} For position , [6, 1, 6, 1, 0, 1], and roll, {1, 4}, the best moves are {[5, 2, 6, 1, 0, 0]} For position , [7, 0, 6, 1, 0, 1], and roll, {1, 4}, the best moves are {[6, 1, 6, 1, 0, 0]} For position , [7, 1, 5, 1, 0, 1], and roll, {1, 4}, the best moves are {[6, 2, 5, 1, 0, 0]} For position , [10, 0, 3, 1, 0, 1], and roll, {1, 4}, the best moves are {[9, 1, 3, 1, 0, 0]} For position , [11, 0, 2, 1, 0, 1], and roll, {1, 4}, the best moves are {[10, 1, 2, 1, 0, 0]} For position , [8, 0, 4, 1, 1, 1], and roll, {1, 4}, the best moves are {[7, 1, 4, 1, 1, 0]} For position , [7, 0, 5, 1, 1, 1], and roll, {1, 4}, the best moves are {[6, 1, 5, 1, 1, 0]} For position , [6, 0, 6, 1, 1, 1], and roll, {1, 4}, the best moves are {[5, 1, 6, 1, 1, 0]} For position , [12, 0, 1, 1, 0, 1], and roll, {1, 4}, the best moves are {[11, 1, 1, 1, 0, 0]} For position , [9, 0, 3, 2, 0, 1], and roll, {1, 4}, the best moves are {[8, 1, 3, 2, 0, 0]} For position , [8, 0, 4, 2, 0, 1], and roll, {1, 4}, the best moves are {[7, 1, 4, 2, 0, 0]} For position , [7, 0, 5, 2, 0, 1], and roll, {1, 4}, the best moves are {[6, 1, 5, 2, 0, 0]} For position , [6, 0, 6, 2, 0, 1], and roll, {1, 4}, the best moves are {[5, 1, 6, 2, 0, 0]} For position , [8, 0, 5, 1, 0, 1], and roll, {1, 4}, the best moves are {[7, 1, 5, 1, 0, 0]} For position , [6, 0, 7, 1, 0, 1], and roll, {1, 4}, the best moves are {[5, 1, 7, 1, 0, 0]} When the roll was, {1, 4}, and there were, 15, checkers , the exceptions to greedy play were {[{1, 4}, [4, 0, 7, 1, 2, 1], [3, 1, 7, 1, 2, 0]], [{1, 4}, [4, 1, 5, 1, 3, 1], [3, 2, 5, 1, 3, 0]], [{1, 4}, [4, 0, 6, 1, 3, 1], [3, 1, 6, 1, 3, 0]], [{1, 4}, [6, 0, 4, 1, 3, 1], [5, 1, 4, 1, 3, 0]], [{1, 4}, [3, 0, 7, 1, 3, 1], [2, 1, 7, 1, 3, 0]], [{1, 4}, [4, 1, 4, 1, 4, 1], [3, 2, 4, 1, 4, 0]], [{1, 4}, [5, 0, 4, 1, 4, 1], [4, 1, 4, 1, 4, 0]], [{1, 4}, [5, 1, 4, 1, 3, 1], [4, 2, 4, 1, 3, 0]], [{1, 4}, [4, 0, 5, 1, 4, 1], [3, 1, 5, 1, 4, 0]], [{1, 4}, [6, 0, 1, 1, 6, 1], [5, 1, 1, 1, 6, 0]], [{1, 4}, [3, 0, 6, 1, 4, 1], [2, 1, 6, 1, 4, 0]], [{1, 4}, [8, 0, 2, 1, 3, 1], [7, 1, 2, 1, 3, 0]], [{1, 4}, [5, 0, 2, 1, 6, 1], [4, 1, 2, 1, 6, 0]], [{1, 4}, [3, 0, 4, 1, 6, 1], [2, 1, 4, 1, 6, 0]], [{1, 4}, [4, 0, 3, 1, 6, 1], [3, 1, 3, 1, 6, 0]], [{1, 4}, [2, 0, 5, 1, 6, 1], [1, 1, 5, 1, 6, 0]], [{1, 4}, [4, 0, 4, 1, 5, 1], [3, 1, 4, 1, 5, 0]], [{1, 4}, [3, 0, 5, 1, 5, 1], [2, 1, 5, 1, 5, 0]], [{1, 4}, [7, 0, 3, 1, 3, 1], [6, 1, 3, 1, 3, 0]], [{1, 4}, [6, 0, 2, 1, 5, 1], [5, 1, 2, 1, 5, 0]], [{1, 4}, [6, 1, 3, 1, 3, 1], [5, 2, 3, 1, 3, 0]], [{1, 4}, [5, 0, 3, 1, 5, 1], [4, 1, 3, 1, 5, 0]], [{1, 4}, [5, 0, 5, 1, 3, 1], [4, 1, 5, 1, 3, 0]], [{1, 4}, [2, 0, 6, 1, 5, 1], [1, 1, 6, 1, 5, 0]], [{1, 4}, [4, 0, 1, 1, 8, 1], [3, 1, 1, 1, 8, 0]], [{1, 4}, [4, 0, 2, 1, 7, 1], [3, 1, 2, 1, 7, 0]], [{1, 4}, [3, 0, 2, 1, 8, 1], [2, 1, 2, 1, 8, 0]], [{1, 4}, [9, 0, 2, 1, 2, 1], [8, 1, 2, 1, 2, 0]], [{1, 4}, [3, 0, 3, 1, 7, 1], [2, 1, 3, 1, 7, 0]], [{1, 4}, [2, 0, 4, 1, 7, 1], [1, 1, 4, 1, 7, 0]], [{1, 4}, [5, 0, 1, 1, 7, 1], [4, 1, 1, 1, 7, 0]], [{1, 4}, [7, 0, 2, 1, 4, 1], [6, 1, 2, 1, 4, 0]], [{1, 4}, [6, 0, 3, 1, 4, 1], [5, 1, 3, 1, 4, 0]], [{1, 4}, [3, 0, 9, 1, 0, 2], [2, 1, 9, 1, 0, 1]], [{1, 4}, [7, 0, 1, 1, 5, 1], [6, 1, 1, 1, 5, 0]], [{1, 4}, [6, 0, 4, 1, 1, 3], [5, 1, 4, 1, 1, 2]], [{1, 4}, [5, 0, 5, 1, 1, 3], [4, 1, 5, 1, 1, 2]], [{1, 4}, [7, 0, 5, 1, 0, 2], [6, 1, 5, 1, 0, 1]], [{1, 4}, [6, 0, 6, 1, 0, 2], [5, 1, 6, 1, 0, 1]], [{1, 4}, [7, 1, 5, 1, 0, 1], [6, 2, 5, 1, 0, 0]], [{1, 4}, [4, 0, 9, 1, 0, 1], [3, 1, 9, 1, 0, 0]], [{1, 4}, [11, 0, 2, 1, 0, 1], [10, 1, 2, 1, 0, 0]], [{1, 4}, [8, 0, 4, 1, 0, 2], [7, 1, 4, 1, 0, 1]], [{1, 4}, [4, 0, 8, 1, 0, 2], [3, 1, 8, 1, 0, 1]], [{1, 4}, [12, 0, 1, 1, 0, 1], [11, 1, 1, 1, 0, 0]], [{1, 4}, [6, 0, 6, 2, 0, 1], [5, 1, 6, 2, 0, 0]], [{1, 4}, [10, 0, 2, 2, 0, 1], [9, 1, 2, 2, 0, 0]], [{1, 4}, [8, 1, 4, 1, 0, 1], [7, 2, 4, 1, 0, 0]], [{1, 4}, [9, 0, 4, 1, 0, 1], [8, 1, 4, 1, 0, 0]], [{1, 4}, [5, 0, 8, 1, 0, 1], [4, 1, 8, 1, 0, 0]], [{1, 4}, [6, 1, 6, 1, 0, 1], [5, 2, 6, 1, 0, 0]], [{1, 4}, [7, 0, 6, 1, 0, 1], [6, 1, 6, 1, 0, 0]], [{1, 4}, [7, 0, 5, 1, 1, 1], [6, 1, 5, 1, 1, 0]], [{1, 4}, [6, 0, 6, 1, 1, 1], [5, 1, 6, 1, 1, 0]], [{1, 4}, [9, 0, 3, 2, 0, 1], [8, 1, 3, 2, 0, 0]], [{1, 4}, [8, 0, 4, 2, 0, 1], [7, 1, 4, 2, 0, 0]], [{1, 4}, [7, 0, 5, 2, 0, 1], [6, 1, 5, 2, 0, 0]], [{1, 4}, [5, 0, 7, 1, 0, 2], [4, 1, 7, 1, 0, 1]], [{1, 4}, [8, 0, 5, 1, 0, 1], [7, 1, 5, 1, 0, 0]], [{1, 4}, [6, 0, 7, 1, 0, 1], [5, 1, 7, 1, 0, 0]], [{1, 4}, [11, 0, 1, 2, 0, 1], [10, 1, 1, 2, 0, 0]], [{1, 4}, [2, 0, 3, 1, 8, 1], [1, 1, 3, 1, 8, 0]], [{1, 4}, [10, 0, 3, 1, 0, 1], [9, 1, 3, 1, 0, 0]], [{1, 4}, [6, 0, 5, 1, 1, 2], [5, 1, 5, 1, 1, 1]], [{1, 4}, [5, 0, 6, 1, 1, 2], [4, 1, 6, 1, 1, 1]], [{1, 4}, [8, 0, 4, 1, 1, 1], [7, 1, 4, 1, 1, 0]], [{1, 4}, [7, 0, 4, 1, 2, 1], [6, 1, 4, 1, 2, 0]], [{1, 4}, [4, 0, 6, 1, 1, 3], [3, 1, 6, 1, 1, 2]], [{1, 4}, [4, 0, 8, 1, 1, 1], [3, 1, 8, 1, 1, 0]], [{1, 4}, [5, 0, 7, 1, 1, 1], [4, 1, 7, 1, 1, 0]], [{1, 4}, [3, 0, 8, 1, 2, 1], [2, 1, 8, 1, 2, 0]], [{1, 4}, [8, 0, 3, 1, 2, 1], [7, 1, 3, 1, 2, 0]], [{1, 4}, [6, 0, 5, 1, 2, 1], [5, 1, 5, 1, 2, 0]], [{1, 4}, [5, 0, 6, 1, 2, 1], [4, 1, 6, 1, 2, 0]]} For position , [1, 1, 1, 11, 0, 1], and roll, {2, 3}, the best moves are {[1, 0, 2, 11, 0, 0]} For position , [1, 2, 1, 10, 0, 1], and roll, {2, 3}, the best moves are {[1, 1, 2, 10, 0, 0]} For position , [2, 1, 1, 10, 0, 1], and roll, {2, 3}, the best moves are {[2, 0, 2, 10, 0, 0]} For position , [7, 1, 5, 0, 1, 1], and roll, {2, 3}, the best moves are {[7, 1, 4, 1, 1, 0]} For position , [6, 1, 6, 0, 1, 1], and roll, {2, 3}, the best moves are {[6, 1, 5, 1, 1, 0]} For position , [4, 1, 8, 0, 1, 1], and roll, {2, 3}, the best moves are {[4, 1, 7, 1, 1, 0]} For position , [3, 4, 1, 5, 1, 1], and roll, {2, 3}, the best moves are {[3, 3, 2, 5, 1, 0]} For position , [4, 3, 1, 5, 1, 1], and roll, {2, 3}, the best moves are {[4, 2, 2, 5, 1, 0]} For position , [5, 3, 1, 4, 1, 1], and roll, {2, 3}, the best moves are {[5, 2, 2, 4, 1, 0]} For position , [3, 5, 1, 4, 1, 1], and roll, {2, 3}, the best moves are {[3, 4, 2, 4, 1, 0]} For position , [4, 4, 1, 4, 1, 1], and roll, {2, 3}, the best moves are {[4, 3, 2, 4, 1, 0]} For position , [4, 1, 7, 0, 2, 1], and roll, {2, 3}, the best moves are {[4, 1, 6, 1, 2, 0]} For position , [3, 1, 8, 0, 2, 1], and roll, {2, 3}, the best moves are {[3, 1, 7, 1, 2, 0]} For position , [2, 1, 9, 0, 2, 1], and roll, {2, 3}, the best moves are {[2, 1, 8, 1, 2, 0]} For position , [3, 3, 1, 6, 1, 1], and roll, {2, 3}, the best moves are {[3, 2, 2, 6, 1, 0]} For position , [5, 1, 7, 0, 1, 1], and roll, {2, 3}, the best moves are {[5, 1, 6, 1, 1, 0]} For position , [3, 1, 9, 0, 1, 1], and roll, {2, 3}, the best moves are {[3, 1, 8, 1, 1, 0]} For position , [8, 1, 3, 0, 2, 1], and roll, {2, 3}, the best moves are {[8, 1, 2, 1, 2, 0]} For position , [5, 1, 6, 0, 2, 1], and roll, {2, 3}, the best moves are {[5, 1, 5, 1, 2, 0]} For position , [2, 1, 11, 1, 0, 0], and roll, {2, 3}, the best moves are {[2, 2, 10, 0, 0, 0]} For position , [3, 1, 10, 1, 0, 0], and roll, {2, 3}, the best moves are {[3, 2, 9, 0, 0, 0]} For position , [7, 1, 5, 2, 0, 0], and roll, {2, 3}, the best moves are {[7, 2, 4, 1, 0, 0]} For position , [2, 1, 7, 0, 4, 1], and roll, {2, 3}, the best moves are {[2, 1, 6, 1, 4, 0]} For position , [6, 1, 3, 0, 4, 1], and roll, {2, 3}, the best moves are {[6, 1, 2, 1, 4, 0]} For position , [5, 1, 4, 0, 4, 1], and roll, {2, 3}, the best moves are {[5, 1, 3, 1, 4, 0]} For position , [4, 1, 5, 0, 4, 1], and roll, {2, 3}, the best moves are {[4, 1, 4, 1, 4, 0]} For position , [3, 2, 5, 0, 4, 1], and roll, {2, 3}, the best moves are {[3, 2, 4, 1, 4, 0]} For position , [7, 1, 3, 0, 3, 1], and roll, {2, 3}, the best moves are {[7, 1, 2, 1, 3, 0]} For position , [5, 2, 4, 0, 3, 1], and roll, {2, 3}, the best moves are {[5, 2, 3, 1, 3, 0]} For position , [6, 1, 4, 0, 3, 1], and roll, {2, 3}, the best moves are {[6, 1, 3, 1, 3, 0]} For position , [5, 1, 5, 0, 3, 1], and roll, {2, 3}, the best moves are {[5, 1, 4, 1, 3, 0]} For position , [4, 2, 5, 0, 3, 1], and roll, {2, 3}, the best moves are {[4, 2, 4, 1, 3, 0]} For position , [4, 1, 6, 0, 3, 1], and roll, {2, 3}, the best moves are {[4, 1, 5, 1, 3, 0]} For position , [3, 2, 6, 0, 3, 1], and roll, {2, 3}, the best moves are {[3, 2, 5, 1, 3, 0]} For position , [3, 1, 7, 0, 3, 1], and roll, {2, 3}, the best moves are {[3, 1, 6, 1, 3, 0]} For position , [2, 1, 8, 0, 3, 1], and roll, {2, 3}, the best moves are {[2, 1, 7, 1, 3, 0]} For position , [3, 1, 6, 0, 4, 1], and roll, {2, 3}, the best moves are {[3, 1, 5, 1, 4, 0]} For position , [6, 1, 2, 0, 5, 1], and roll, {2, 3}, the best moves are {[6, 1, 1, 1, 5, 0]} For position , [5, 1, 3, 0, 5, 1], and roll, {2, 3}, the best moves are {[5, 1, 2, 1, 5, 0]} For position , [1, 1, 6, 0, 6, 1], and roll, {2, 3}, the best moves are {[1, 1, 5, 1, 6, 0]} For position , [4, 1, 4, 0, 5, 1], and roll, {2, 3}, the best moves are {[4, 1, 3, 1, 5, 0]} For position , [3, 1, 5, 0, 5, 1], and roll, {2, 3}, the best moves are {[3, 1, 4, 1, 5, 0]} For position , [2, 1, 6, 0, 5, 1], and roll, {2, 3}, the best moves are {[2, 1, 5, 1, 5, 0]} For position , [1, 1, 7, 0, 5, 1], and roll, {2, 3}, the best moves are {[1, 1, 6, 1, 5, 0]} For position , [4, 1, 2, 0, 7, 1], and roll, {2, 3}, the best moves are {[4, 1, 1, 1, 7, 0]} For position , [3, 1, 3, 0, 7, 1], and roll, {2, 3}, the best moves are {[3, 1, 2, 1, 7, 0]} For position , [2, 1, 4, 0, 7, 1], and roll, {2, 3}, the best moves are {[2, 1, 3, 1, 7, 0]} For position , [1, 1, 5, 0, 7, 1], and roll, {2, 3}, the best moves are {[1, 1, 4, 1, 7, 0]} For position , [2, 1, 5, 0, 6, 1], and roll, {2, 3}, the best moves are {[2, 1, 4, 1, 6, 0]} For position , [4, 1, 3, 0, 6, 1], and roll, {2, 3}, the best moves are {[4, 1, 2, 1, 6, 0]} For position , [5, 1, 2, 0, 6, 1], and roll, {2, 3}, the best moves are {[5, 1, 1, 1, 6, 0]} For position , [3, 1, 4, 0, 6, 1], and roll, {2, 3}, the best moves are {[3, 1, 3, 1, 6, 0]} For position , [6, 1, 5, 0, 2, 1], and roll, {2, 3}, the best moves are {[6, 1, 4, 1, 2, 0]} For position , [7, 1, 4, 0, 2, 1], and roll, {2, 3}, the best moves are {[7, 1, 3, 1, 2, 0]} For position , [3, 1, 2, 0, 8, 1], and roll, {2, 3}, the best moves are {[3, 1, 1, 1, 8, 0]} For position , [2, 1, 3, 0, 8, 1], and roll, {2, 3}, the best moves are {[2, 1, 2, 1, 8, 0]} For position , [1, 1, 4, 0, 8, 1], and roll, {2, 3}, the best moves are {[1, 1, 3, 1, 8, 0]} For position , [7, 1, 5, 0, 0, 2], and roll, {2, 3}, the best moves are {[7, 1, 4, 1, 0, 1]} For position , [6, 1, 6, 0, 0, 2], and roll, {2, 3}, the best moves are {[6, 1, 5, 1, 0, 1]} For position , [1, 2, 1, 9, 0, 2], and roll, {2, 3}, the best moves are {[1, 1, 2, 9, 0, 1]} For position , [2, 1, 1, 9, 0, 2], and roll, {2, 3}, the best moves are {[2, 0, 2, 9, 0, 1]} For position , [2, 2, 1, 8, 0, 2], and roll, {2, 3}, the best moves are {[2, 1, 2, 8, 0, 1]} For position , [3, 1, 1, 8, 0, 2], and roll, {2, 3}, the best moves are {[3, 0, 2, 8, 0, 1]} For position , [2, 3, 1, 7, 0, 2], and roll, {2, 3}, the best moves are {[2, 2, 2, 7, 0, 1]} For position , [3, 2, 1, 7, 0, 2], and roll, {2, 3}, the best moves are {[3, 1, 2, 7, 0, 1]} For position , [4, 1, 1, 7, 0, 2], and roll, {2, 3}, the best moves are {[4, 0, 2, 7, 0, 1]} For position , [4, 1, 8, 0, 0, 2], and roll, {2, 3}, the best moves are {[4, 1, 7, 1, 0, 1]} For position , [2, 5, 1, 5, 0, 2], and roll, {2, 3}, the best moves are {[2, 4, 2, 5, 0, 1]} For position , [3, 4, 1, 5, 0, 2], and roll, {2, 3}, the best moves are {[3, 3, 2, 5, 0, 1]} For position , [4, 3, 1, 5, 0, 2], and roll, {2, 3}, the best moves are {[4, 2, 2, 5, 0, 1]} For position , [5, 2, 1, 5, 0, 2], and roll, {2, 3}, the best moves are {[5, 1, 2, 5, 0, 1]} For position , [5, 3, 1, 4, 0, 2], and roll, {2, 3}, the best moves are {[5, 2, 2, 4, 0, 1]} For position , [3, 5, 1, 4, 0, 2], and roll, {2, 3}, the best moves are {[3, 4, 2, 4, 0, 1]} For position , [4, 4, 1, 4, 0, 2], and roll, {2, 3}, the best moves are {[4, 3, 2, 4, 0, 1]} For position , [5, 1, 7, 0, 0, 2], and roll, {2, 3}, the best moves are {[5, 1, 6, 1, 0, 1]} For position , [3, 1, 9, 0, 0, 2], and roll, {2, 3}, the best moves are {[3, 1, 8, 1, 0, 1]} For position , [2, 1, 10, 0, 0, 2], and roll, {2, 3}, the best moves are {[2, 1, 9, 1, 0, 1]} For position , [1, 1, 1, 10, 0, 2], and roll, {2, 3}, the best moves are {[1, 0, 2, 10, 0, 1]} For position , [4, 1, 7, 0, 1, 2], and roll, {2, 3}, the best moves are {[4, 1, 6, 1, 1, 1]} For position , [2, 4, 1, 6, 0, 2], and roll, {2, 3}, the best moves are {[2, 3, 2, 6, 0, 1]} For position , [3, 3, 1, 6, 0, 2], and roll, {2, 3}, the best moves are {[3, 2, 2, 6, 0, 1]} For position , [4, 2, 1, 6, 0, 2], and roll, {2, 3}, the best moves are {[4, 1, 2, 6, 0, 1]} For position , [5, 1, 1, 6, 0, 2], and roll, {2, 3}, the best moves are {[5, 0, 2, 6, 0, 1]} For position , [5, 1, 6, 0, 1, 2], and roll, {2, 3}, the best moves are {[5, 1, 5, 1, 1, 1]} For position , [3, 2, 1, 6, 0, 3], and roll, {2, 3}, the best moves are {[3, 1, 2, 6, 0, 2]} For position , [2, 2, 1, 7, 0, 3], and roll, {2, 3}, the best moves are {[2, 1, 2, 7, 0, 2]} For position , [3, 1, 1, 7, 0, 3], and roll, {2, 3}, the best moves are {[3, 0, 2, 7, 0, 2]} For position , [2, 1, 1, 8, 0, 3], and roll, {2, 3}, the best moves are {[2, 0, 2, 8, 0, 2]} For position , [4, 1, 6, 0, 1, 3], and roll, {2, 3}, the best moves are {[4, 1, 5, 1, 1, 2]} For position , [5, 1, 5, 0, 1, 3], and roll, {2, 3}, the best moves are {[5, 1, 4, 1, 1, 2]} For position , [3, 1, 7, 0, 1, 3], and roll, {2, 3}, the best moves are {[3, 1, 6, 1, 1, 2]} For position , [11, 1, 2, 0, 1, 0], and roll, {2, 3}, the best moves are {[11, 1, 2, 0, 0, 0]} For position , [9, 1, 3, 2, 0, 0], and roll, {2, 3}, the best moves are {[9, 2, 2, 1, 0, 0]} For position , [5, 1, 6, 3, 0, 0], and roll, {2, 3}, the best moves are {[5, 2, 5, 2, 0, 0]} For position , [7, 1, 1, 4, 2, 0], and roll, {2, 3}, the best moves are {[7, 1, 1, 4, 1, 0]} For position , [4, 1, 6, 4, 0, 0], and roll, {2, 3}, the best moves are {[4, 2, 5, 3, 0, 0]} For position , [6, 1, 6, 2, 0, 0], and roll, {2, 3}, the best moves are {[6, 2, 5, 1, 0, 0]} For position , [6, 2, 1, 5, 1, 0], and roll, {2, 3}, the best moves are {[6, 2, 1, 5, 0, 0]} For position , [7, 1, 1, 5, 1, 0], and roll, {2, 3}, the best moves are {[7, 1, 1, 5, 0, 0]} For position , [4, 2, 8, 1, 0, 0], and roll, {2, 3}, the best moves are {[4, 3, 7, 0, 0, 0]} For position , [5, 1, 8, 1, 0, 0], and roll, {2, 3}, the best moves are {[5, 2, 7, 0, 0, 0]} For position , [5, 2, 7, 1, 0, 0], and roll, {2, 3}, the best moves are {[5, 3, 6, 0, 0, 0]} For position , [3, 2, 9, 1, 0, 0], and roll, {2, 3}, the best moves are {[3, 3, 8, 0, 0, 0]} For position , [4, 1, 9, 1, 0, 0], and roll, {2, 3}, the best moves are {[4, 2, 8, 0, 0, 0]} For position , [8, 3, 3, 1, 0, 0], and roll, {2, 3}, the best moves are {[8, 4, 2, 0, 0, 0]} For position , [10, 1, 3, 1, 0, 0], and roll, {2, 3}, the best moves are {[10, 2, 2, 0, 0, 0]} For position , [9, 1, 1, 3, 1, 0], and roll, {2, 3}, the best moves are {[9, 1, 1, 3, 0, 0]} For position , [3, 1, 7, 4, 0, 0], and roll, {2, 3}, the best moves are {[3, 2, 6, 3, 0, 0]} For position , [6, 1, 5, 3, 0, 0], and roll, {2, 3}, the best moves are {[6, 2, 4, 2, 0, 0]} For position , [4, 1, 7, 3, 0, 0], and roll, {2, 3}, the best moves are {[4, 2, 6, 2, 0, 0]} For position , [8, 2, 4, 1, 0, 0], and roll, {2, 3}, the best moves are {[8, 3, 3, 0, 0, 0]} For position , [9, 1, 4, 1, 0, 0], and roll, {2, 3}, the best moves are {[9, 2, 3, 0, 0, 0]} For position , [6, 3, 5, 1, 0, 0], and roll, {2, 3}, the best moves are {[6, 4, 4, 0, 0, 0]} For position , [7, 2, 5, 1, 0, 0], and roll, {2, 3}, the best moves are {[7, 3, 4, 0, 0, 0]} For position , [7, 3, 4, 1, 0, 0], and roll, {2, 3}, the best moves are {[7, 4, 3, 0, 0, 0]} For position , [9, 1, 4, 0, 1, 0], and roll, {2, 3}, the best moves are {[9, 1, 4, 0, 0, 0]} For position , [5, 1, 8, 0, 1, 0], and roll, {2, 3}, the best moves are {[5, 1, 8, 0, 0, 0]} For position , [8, 1, 5, 0, 1, 0], and roll, {2, 3}, the best moves are {[8, 1, 5, 0, 0, 0]} For position , [6, 1, 1, 5, 2, 0], and roll, {2, 3}, the best moves are {[6, 1, 1, 5, 1, 0]} For position , [7, 2, 1, 4, 1, 0], and roll, {2, 3}, the best moves are {[7, 2, 1, 4, 0, 0]} For position , [8, 1, 1, 4, 1, 0], and roll, {2, 3}, the best moves are {[8, 1, 1, 4, 0, 0]} For position , [9, 1, 4, 0, 0, 1], and roll, {2, 3}, the best moves are {[9, 1, 3, 1, 0, 0]} For position , [3, 8, 1, 2, 0, 1], and roll, {2, 3}, the best moves are {[3, 7, 2, 2, 0, 0]} For position , [9, 2, 1, 2, 0, 1], and roll, {2, 3}, the best moves are {[9, 1, 2, 2, 0, 0]} For position , [8, 3, 1, 2, 0, 1], and roll, {2, 3}, the best moves are {[8, 2, 2, 2, 0, 0]} For position , [7, 4, 1, 2, 0, 1], and roll, {2, 3}, the best moves are {[7, 3, 2, 2, 0, 0]} For position , [6, 5, 1, 2, 0, 1], and roll, {2, 3}, the best moves are {[6, 4, 2, 2, 0, 0]} For position , [5, 6, 1, 2, 0, 1], and roll, {2, 3}, the best moves are {[5, 5, 2, 2, 0, 0]} For position , [4, 7, 1, 2, 0, 1], and roll, {2, 3}, the best moves are {[4, 6, 2, 2, 0, 0]} For position , [3, 1, 10, 0, 0, 1], and roll, {2, 3}, the best moves are {[3, 1, 9, 1, 0, 0]} For position , [8, 1, 5, 1, 0, 0], and roll, {2, 3}, the best moves are {[8, 2, 4, 0, 0, 0]} For position , [7, 2, 5, 0, 1, 0], and roll, {2, 3}, the best moves are {[7, 2, 5, 0, 0, 0]} For position , [7, 1, 6, 0, 1, 0], and roll, {2, 3}, the best moves are {[7, 1, 6, 0, 0, 0]} For position , [3, 1, 9, 2, 0, 0], and roll, {2, 3}, the best moves are {[3, 2, 8, 1, 0, 0]} For position , [4, 1, 8, 2, 0, 0], and roll, {2, 3}, the best moves are {[4, 2, 7, 1, 0, 0]} For position , [5, 1, 7, 2, 0, 0], and roll, {2, 3}, the best moves are {[5, 2, 6, 1, 0, 0]} For position , [5, 2, 1, 6, 1, 0], and roll, {2, 3}, the best moves are {[5, 2, 1, 6, 0, 0]} For position , [6, 1, 1, 6, 1, 0], and roll, {2, 3}, the best moves are {[6, 1, 1, 6, 0, 0]} For position , [3, 1, 8, 3, 0, 0], and roll, {2, 3}, the best moves are {[3, 2, 7, 2, 0, 0]} For position , [10, 1, 3, 0, 0, 1], and roll, {2, 3}, the best moves are {[10, 1, 2, 1, 0, 0]} For position , [11, 1, 2, 0, 0, 1], and roll, {2, 3}, the best moves are {[11, 1, 1, 1, 0, 0]} For position , [10, 1, 3, 0, 1, 0], and roll, {2, 3}, the best moves are {[10, 1, 3, 0, 0, 0]} For position , [6, 1, 7, 0, 1, 0], and roll, {2, 3}, the best moves are {[6, 1, 7, 0, 0, 0]} For position , [5, 1, 1, 5, 3, 0], and roll, {2, 3}, the best moves are {[5, 1, 1, 5, 2, 0]} For position , [3, 6, 1, 4, 0, 1], and roll, {2, 3}, the best moves are {[3, 5, 2, 4, 0, 0]} For position , [3, 1, 1, 9, 0, 1], and roll, {2, 3}, the best moves are {[3, 0, 2, 9, 0, 0]} For position , [2, 2, 1, 9, 0, 1], and roll, {2, 3}, the best moves are {[2, 1, 2, 9, 0, 0]} For position , [1, 3, 1, 9, 0, 1], and roll, {2, 3}, the best moves are {[1, 2, 2, 9, 0, 0]} For position , [4, 2, 1, 7, 1, 0], and roll, {2, 3}, the best moves are {[4, 2, 1, 7, 0, 0]} For position , [5, 1, 1, 7, 1, 0], and roll, {2, 3}, the best moves are {[5, 1, 1, 7, 0, 0]} For position , [5, 2, 7, 0, 0, 1], and roll, {2, 3}, the best moves are {[5, 2, 6, 1, 0, 0]} For position , [6, 1, 7, 0, 0, 1], and roll, {2, 3}, the best moves are {[6, 1, 6, 1, 0, 0]} For position , [8, 1, 4, 1, 0, 1], and roll, {2, 3}, the best moves are {[8, 1, 3, 2, 0, 0]} For position , [5, 1, 1, 6, 2, 0], and roll, {2, 3}, the best moves are {[5, 1, 1, 6, 1, 0]} For position , [2, 1, 10, 2, 0, 0], and roll, {2, 3}, the best moves are {[2, 2, 9, 1, 0, 0]} For position , [4, 1, 9, 0, 0, 1], and roll, {2, 3}, the best moves are {[4, 1, 8, 1, 0, 0]} For position , [5, 1, 8, 0, 0, 1], and roll, {2, 3}, the best moves are {[5, 1, 7, 1, 0, 0]} For position , [5, 1, 7, 1, 0, 1], and roll, {2, 3}, the best moves are {[5, 1, 6, 2, 0, 0]} For position , [6, 1, 6, 1, 0, 1], and roll, {2, 3}, the best moves are {[6, 1, 5, 2, 0, 0]} For position , [7, 1, 5, 1, 0, 1], and roll, {2, 3}, the best moves are {[7, 1, 4, 2, 0, 0]} For position , [4, 1, 1, 7, 2, 0], and roll, {2, 3}, the best moves are {[4, 1, 1, 7, 1, 0]} For position , [2, 1, 1, 10, 1, 0], and roll, {2, 3}, the best moves are {[2, 1, 1, 10, 0, 0]} For position , [9, 1, 3, 1, 0, 1], and roll, {2, 3}, the best moves are {[9, 1, 2, 2, 0, 0]} For position , [10, 1, 2, 1, 0, 1], and roll, {2, 3}, the best moves are {[10, 1, 1, 2, 0, 0]} For position , [6, 6, 1, 1, 0, 1], and roll, {2, 3}, the best moves are {[6, 5, 2, 1, 0, 0]} For position , [7, 5, 1, 1, 0, 1], and roll, {2, 3}, the best moves are {[7, 4, 2, 1, 0, 0]} For position , [8, 4, 1, 1, 0, 1], and roll, {2, 3}, the best moves are {[8, 3, 2, 1, 0, 0]} For position , [4, 8, 1, 1, 0, 1], and roll, {2, 3}, the best moves are {[4, 7, 2, 1, 0, 0]} For position , [5, 7, 1, 1, 0, 1], and roll, {2, 3}, the best moves are {[5, 6, 2, 1, 0, 0]} For position , [6, 2, 6, 0, 0, 1], and roll, {2, 3}, the best moves are {[6, 2, 5, 1, 0, 0]} For position , [7, 1, 6, 0, 0, 1], and roll, {2, 3}, the best moves are {[7, 1, 5, 1, 0, 0]} For position , [7, 2, 5, 0, 0, 1], and roll, {2, 3}, the best moves are {[7, 2, 4, 1, 0, 0]} For position , [8, 1, 5, 0, 0, 1], and roll, {2, 3}, the best moves are {[8, 1, 4, 1, 0, 0]} For position , [3, 1, 1, 9, 1, 0], and roll, {2, 3}, the best moves are {[3, 1, 1, 9, 0, 0]} For position , [3, 2, 1, 8, 1, 0], and roll, {2, 3}, the best moves are {[3, 2, 1, 8, 0, 0]} For position , [4, 1, 1, 8, 1, 0], and roll, {2, 3}, the best moves are {[4, 1, 1, 8, 0, 0]} For position , [4, 1, 1, 8, 0, 1], and roll, {2, 3}, the best moves are {[4, 0, 2, 8, 0, 0]} For position , [3, 2, 1, 8, 0, 1], and roll, {2, 3}, the best moves are {[3, 1, 2, 8, 0, 0]} For position , [2, 3, 1, 8, 0, 1], and roll, {2, 3}, the best moves are {[2, 2, 2, 8, 0, 0]} For position , [1, 4, 1, 8, 0, 1], and roll, {2, 3}, the best moves are {[1, 3, 2, 8, 0, 0]} For position , [9, 3, 1, 1, 0, 1], and roll, {2, 3}, the best moves are {[9, 2, 2, 1, 0, 0]} For position , [7, 2, 1, 4, 0, 1], and roll, {2, 3}, the best moves are {[7, 1, 2, 4, 0, 0]} For position , [6, 1, 1, 6, 0, 1], and roll, {2, 3}, the best moves are {[6, 0, 2, 6, 0, 0]} For position , [5, 2, 1, 6, 0, 1], and roll, {2, 3}, the best moves are {[5, 1, 2, 6, 0, 0]} For position , [4, 3, 1, 6, 0, 1], and roll, {2, 3}, the best moves are {[4, 2, 2, 6, 0, 0]} For position , [3, 4, 1, 6, 0, 1], and roll, {2, 3}, the best moves are {[3, 3, 2, 6, 0, 0]} For position , [2, 5, 1, 6, 0, 1], and roll, {2, 3}, the best moves are {[2, 4, 2, 6, 0, 0]} For position , [8, 2, 1, 3, 0, 1], and roll, {2, 3}, the best moves are {[8, 1, 2, 3, 0, 0]} For position , [7, 3, 1, 3, 0, 1], and roll, {2, 3}, the best moves are {[7, 2, 2, 3, 0, 0]} For position , [6, 4, 1, 3, 0, 1], and roll, {2, 3}, the best moves are {[6, 3, 2, 3, 0, 0]} For position , [5, 5, 1, 3, 0, 1], and roll, {2, 3}, the best moves are {[5, 4, 2, 3, 0, 0]} For position , [4, 6, 1, 3, 0, 1], and roll, {2, 3}, the best moves are {[4, 5, 2, 3, 0, 0]} For position , [3, 7, 1, 3, 0, 1], and roll, {2, 3}, the best moves are {[3, 6, 2, 3, 0, 0]} For position , [2, 8, 1, 3, 0, 1], and roll, {2, 3}, the best moves are {[2, 7, 2, 3, 0, 0]} For position , [6, 1, 7, 1, 0, 0], and roll, {2, 3}, the best moves are {[6, 2, 6, 0, 0, 0]} For position , [6, 2, 6, 1, 0, 0], and roll, {2, 3}, the best moves are {[6, 3, 5, 0, 0, 0]} For position , [7, 1, 6, 1, 0, 0], and roll, {2, 3}, the best moves are {[7, 2, 5, 0, 0, 0]} For position , [6, 3, 1, 4, 0, 1], and roll, {2, 3}, the best moves are {[6, 2, 2, 4, 0, 0]} For position , [5, 4, 1, 4, 0, 1], and roll, {2, 3}, the best moves are {[5, 3, 2, 4, 0, 0]} For position , [4, 5, 1, 4, 0, 1], and roll, {2, 3}, the best moves are {[4, 4, 2, 4, 0, 0]} For position , [4, 4, 1, 5, 0, 1], and roll, {2, 3}, the best moves are {[4, 3, 2, 5, 0, 0]} For position , [3, 5, 1, 5, 0, 1], and roll, {2, 3}, the best moves are {[3, 4, 2, 5, 0, 0]} For position , [2, 6, 1, 5, 0, 1], and roll, {2, 3}, the best moves are {[2, 5, 2, 5, 0, 0]} For position , [7, 1, 1, 5, 0, 1], and roll, {2, 3}, the best moves are {[7, 0, 2, 5, 0, 0]} For position , [6, 2, 1, 5, 0, 1], and roll, {2, 3}, the best moves are {[6, 1, 2, 5, 0, 0]} For position , [5, 3, 1, 5, 0, 1], and roll, {2, 3}, the best moves are {[5, 2, 2, 5, 0, 0]} For position , [5, 1, 1, 7, 0, 1], and roll, {2, 3}, the best moves are {[5, 0, 2, 7, 0, 0]} For position , [4, 2, 1, 7, 0, 1], and roll, {2, 3}, the best moves are {[4, 1, 2, 7, 0, 0]} For position , [3, 3, 1, 7, 0, 1], and roll, {2, 3}, the best moves are {[3, 2, 2, 7, 0, 0]} For position , [2, 4, 1, 7, 0, 1], and roll, {2, 3}, the best moves are {[2, 3, 2, 7, 0, 0]} For position , [1, 5, 1, 7, 0, 1], and roll, {2, 3}, the best moves are {[1, 4, 2, 7, 0, 0]} For position , [2, 7, 1, 4, 0, 1], and roll, {2, 3}, the best moves are {[2, 6, 2, 4, 0, 0]} When the roll was, {2, 3}, and there were, 15, checkers , the exceptions to greedy play were {[{2, 3}, [5, 1, 1, 7, 1, 0], [5, 1, 1, 7, 0, 0]], [{2, 3}, [1, 1, 1, 11, 0, 1], [1, 0, 2, 11, 0, 0]], [{2, 3}, [1, 1, 4, 0, 8, 1], [1, 1, 3, 1, 8, 0]], [{2, 3}, [2, 1, 1, 10, 0, 1], [2, 0, 2, 10, 0, 0]], [{2, 3}, [1, 2, 1, 10, 0, 1], [1, 1, 2, 10, 0, 0]], [{2, 3}, [5, 2, 7, 0, 0, 1], [5, 2, 6, 1, 0, 0]], [{2, 3}, [6, 1, 7, 0, 0, 1], [6, 1, 6, 1, 0, 0]], [{2, 3}, [6, 2, 6, 0, 0, 1], [6, 2, 5, 1, 0, 0]], [{2, 3}, [4, 8, 1, 1, 0, 1], [4, 7, 2, 1, 0, 0]], [{2, 3}, [2, 1, 9, 0, 2, 1], [2, 1, 8, 1, 2, 0]], [{2, 3}, [3, 3, 1, 6, 1, 1], [3, 2, 2, 6, 1, 0]], [{2, 3}, [2, 1, 11, 1, 0, 0], [2, 2, 10, 0, 0, 0]], [{2, 3}, [5, 3, 1, 5, 0, 1], [5, 2, 2, 5, 0, 0]], [{2, 3}, [7, 1, 5, 0, 1, 1], [7, 1, 4, 1, 1, 0]], [{2, 3}, [2, 1, 7, 0, 4, 1], [2, 1, 6, 1, 4, 0]], [{2, 3}, [4, 1, 5, 0, 4, 1], [4, 1, 4, 1, 4, 0]], [{2, 3}, [6, 1, 6, 0, 1, 1], [6, 1, 5, 1, 1, 0]], [{2, 3}, [4, 1, 8, 0, 1, 1], [4, 1, 7, 1, 1, 0]], [{2, 3}, [3, 2, 5, 0, 4, 1], [3, 2, 4, 1, 4, 0]], [{2, 3}, [2, 8, 1, 3, 0, 1], [2, 7, 2, 3, 0, 0]], [{2, 3}, [3, 4, 1, 5, 1, 1], [3, 3, 2, 5, 1, 0]], [{2, 3}, [6, 1, 1, 6, 1, 0], [6, 1, 1, 6, 0, 0]], [{2, 3}, [3, 2, 6, 0, 3, 1], [3, 2, 5, 1, 3, 0]], [{2, 3}, [4, 3, 1, 5, 1, 1], [4, 2, 2, 5, 1, 0]], [{2, 3}, [1, 1, 6, 0, 6, 1], [1, 1, 5, 1, 6, 0]], [{2, 3}, [4, 1, 4, 0, 5, 1], [4, 1, 3, 1, 5, 0]], [{2, 3}, [3, 1, 5, 0, 5, 1], [3, 1, 4, 1, 5, 0]], [{2, 3}, [2, 1, 6, 0, 5, 1], [2, 1, 5, 1, 5, 0]], [{2, 3}, [5, 3, 1, 4, 1, 1], [5, 2, 2, 4, 1, 0]], [{2, 3}, [6, 1, 5, 3, 0, 0], [6, 2, 4, 2, 0, 0]], [{2, 3}, [7, 3, 1, 3, 0, 1], [7, 2, 2, 3, 0, 0]], [{2, 3}, [1, 1, 7, 0, 5, 1], [1, 1, 6, 1, 5, 0]], [{2, 3}, [4, 1, 2, 0, 7, 1], [4, 1, 1, 1, 7, 0]], [{2, 3}, [3, 5, 1, 4, 1, 1], [3, 4, 2, 4, 1, 0]], [{2, 3}, [3, 1, 3, 0, 7, 1], [3, 1, 2, 1, 7, 0]], [{2, 3}, [2, 1, 4, 0, 7, 1], [2, 1, 3, 1, 7, 0]], [{2, 3}, [6, 1, 7, 0, 1, 0], [6, 1, 7, 0, 0, 0]], [{2, 3}, [1, 1, 5, 0, 7, 1], [1, 1, 4, 1, 7, 0]], [{2, 3}, [4, 4, 1, 4, 1, 1], [4, 3, 2, 4, 1, 0]], [{2, 3}, [2, 1, 5, 0, 6, 1], [2, 1, 4, 1, 6, 0]], [{2, 3}, [4, 1, 3, 0, 6, 1], [4, 1, 2, 1, 6, 0]], [{2, 3}, [3, 1, 1, 9, 1, 0], [3, 1, 1, 9, 0, 0]], [{2, 3}, [4, 1, 7, 0, 2, 1], [4, 1, 6, 1, 2, 0]], [{2, 3}, [5, 1, 2, 0, 6, 1], [5, 1, 1, 1, 6, 0]], [{2, 3}, [3, 1, 4, 0, 6, 1], [3, 1, 3, 1, 6, 0]], [{2, 3}, [4, 1, 6, 0, 1, 3], [4, 1, 5, 1, 1, 2]], [{2, 3}, [3, 1, 8, 0, 2, 1], [3, 1, 7, 1, 2, 0]], [{2, 3}, [5, 1, 1, 7, 0, 1], [5, 0, 2, 7, 0, 0]], [{2, 3}, [3, 1, 2, 0, 8, 1], [3, 1, 1, 1, 8, 0]], [{2, 3}, [3, 2, 1, 7, 0, 2], [3, 1, 2, 7, 0, 1]], [{2, 3}, [2, 1, 3, 0, 8, 1], [2, 1, 2, 1, 8, 0]], [{2, 3}, [5, 1, 7, 0, 1, 1], [5, 1, 6, 1, 1, 0]], [{2, 3}, [6, 1, 6, 0, 0, 2], [6, 1, 5, 1, 0, 1]], [{2, 3}, [3, 1, 9, 0, 1, 1], [3, 1, 8, 1, 1, 0]], [{2, 3}, [6, 1, 6, 1, 0, 1], [6, 1, 5, 2, 0, 0]], [{2, 3}, [1, 2, 1, 9, 0, 2], [1, 1, 2, 9, 0, 1]], [{2, 3}, [8, 1, 3, 0, 2, 1], [8, 1, 2, 1, 2, 0]], [{2, 3}, [2, 1, 1, 9, 0, 2], [2, 0, 2, 9, 0, 1]], [{2, 3}, [7, 1, 6, 0, 0, 1], [7, 1, 5, 1, 0, 0]], [{2, 3}, [3, 1, 1, 8, 0, 2], [3, 0, 2, 8, 0, 1]], [{2, 3}, [6, 1, 7, 1, 0, 0], [6, 2, 6, 0, 0, 0]], [{2, 3}, [5, 1, 6, 0, 2, 1], [5, 1, 5, 1, 2, 0]], [{2, 3}, [3, 1, 7, 4, 0, 0], [3, 2, 6, 3, 0, 0]], [{2, 3}, [3, 1, 10, 1, 0, 0], [3, 2, 9, 0, 0, 0]], [{2, 3}, [3, 1, 7, 0, 3, 1], [3, 1, 6, 1, 3, 0]], [{2, 3}, [2, 3, 1, 7, 0, 2], [2, 2, 2, 7, 0, 1]], [{2, 3}, [4, 1, 1, 7, 0, 2], [4, 0, 2, 7, 0, 1]], [{2, 3}, [7, 1, 5, 2, 0, 0], [7, 2, 4, 1, 0, 0]], [{2, 3}, [2, 5, 1, 5, 0, 2], [2, 4, 2, 5, 0, 1]], [{2, 3}, [3, 4, 1, 5, 0, 2], [3, 3, 2, 5, 0, 1]], [{2, 3}, [6, 1, 3, 0, 4, 1], [6, 1, 2, 1, 4, 0]], [{2, 3}, [5, 1, 5, 0, 1, 3], [5, 1, 4, 1, 1, 2]], [{2, 3}, [5, 1, 4, 0, 4, 1], [5, 1, 3, 1, 4, 0]], [{2, 3}, [7, 1, 3, 0, 3, 1], [7, 1, 2, 1, 3, 0]], [{2, 3}, [9, 1, 1, 3, 1, 0], [9, 1, 1, 3, 0, 0]], [{2, 3}, [5, 2, 4, 0, 3, 1], [5, 2, 3, 1, 3, 0]], [{2, 3}, [7, 1, 1, 5, 0, 1], [7, 0, 2, 5, 0, 0]], [{2, 3}, [2, 1, 10, 0, 0, 2], [2, 1, 9, 1, 0, 1]], [{2, 3}, [6, 1, 4, 0, 3, 1], [6, 1, 3, 1, 3, 0]], [{2, 3}, [1, 1, 1, 10, 0, 2], [1, 0, 2, 10, 0, 1]], [{2, 3}, [5, 1, 5, 0, 3, 1], [5, 1, 4, 1, 3, 0]], [{2, 3}, [7, 1, 5, 1, 0, 1], [7, 1, 4, 2, 0, 0]], [{2, 3}, [4, 6, 1, 3, 0, 1], [4, 5, 2, 3, 0, 0]], [{2, 3}, [2, 2, 1, 8, 0, 2], [2, 1, 2, 8, 0, 1]], [{2, 3}, [2, 4, 1, 6, 0, 2], [2, 3, 2, 6, 0, 1]], [{2, 3}, [4, 2, 1, 7, 0, 1], [4, 1, 2, 7, 0, 0]], [{2, 3}, [4, 1, 8, 2, 0, 0], [4, 2, 7, 1, 0, 0]], [{2, 3}, [4, 2, 5, 0, 3, 1], [4, 2, 4, 1, 3, 0]], [{2, 3}, [3, 3, 1, 6, 0, 2], [3, 2, 2, 6, 0, 1]], [{2, 3}, [5, 1, 1, 6, 2, 0], [5, 1, 1, 6, 1, 0]], [{2, 3}, [4, 2, 1, 6, 0, 2], [4, 1, 2, 6, 0, 1]], [{2, 3}, [4, 1, 6, 0, 3, 1], [4, 1, 5, 1, 3, 0]], [{2, 3}, [5, 1, 1, 6, 0, 2], [5, 0, 2, 6, 0, 1]], [{2, 3}, [6, 2, 6, 1, 0, 0], [6, 3, 5, 0, 0, 0]], [{2, 3}, [3, 2, 1, 6, 0, 3], [3, 1, 2, 6, 0, 2]], [{2, 3}, [6, 1, 5, 0, 2, 1], [6, 1, 4, 1, 2, 0]], [{2, 3}, [2, 2, 1, 7, 0, 3], [2, 1, 2, 7, 0, 2]], [{2, 3}, [3, 5, 1, 5, 0, 1], [3, 4, 2, 5, 0, 0]], [{2, 3}, [3, 1, 1, 7, 0, 3], [3, 0, 2, 7, 0, 2]], [{2, 3}, [7, 2, 1, 4, 0, 1], [7, 1, 2, 4, 0, 0]], [{2, 3}, [7, 1, 4, 0, 2, 1], [7, 1, 3, 1, 2, 0]], [{2, 3}, [4, 2, 1, 7, 1, 0], [4, 2, 1, 7, 0, 0]], [{2, 3}, [9, 3, 1, 1, 0, 1], [9, 2, 2, 1, 0, 0]], [{2, 3}, [2, 1, 1, 8, 0, 3], [2, 0, 2, 8, 0, 2]], [{2, 3}, [7, 1, 5, 0, 0, 2], [7, 1, 4, 1, 0, 1]], [{2, 3}, [4, 5, 1, 4, 0, 1], [4, 4, 2, 4, 0, 0]], [{2, 3}, [8, 2, 1, 3, 0, 1], [8, 1, 2, 3, 0, 0]], [{2, 3}, [11, 1, 2, 0, 1, 0], [11, 1, 2, 0, 0, 0]], [{2, 3}, [4, 1, 8, 0, 0, 2], [4, 1, 7, 1, 0, 1]], [{2, 3}, [3, 1, 7, 0, 1, 3], [3, 1, 6, 1, 1, 2]], [{2, 3}, [4, 3, 1, 5, 0, 2], [4, 2, 2, 5, 0, 1]], [{2, 3}, [7, 2, 5, 0, 0, 1], [7, 2, 4, 1, 0, 0]], [{2, 3}, [6, 4, 1, 3, 0, 1], [6, 3, 2, 3, 0, 0]], [{2, 3}, [8, 1, 5, 1, 0, 0], [8, 2, 4, 0, 0, 0]], [{2, 3}, [3, 3, 1, 7, 0, 1], [3, 2, 2, 7, 0, 0]], [{2, 3}, [5, 2, 1, 5, 0, 2], [5, 1, 2, 5, 0, 1]], [{2, 3}, [6, 1, 1, 6, 0, 1], [6, 0, 2, 6, 0, 0]], [{2, 3}, [2, 1, 8, 0, 3, 1], [2, 1, 7, 1, 3, 0]], [{2, 3}, [5, 3, 1, 4, 0, 2], [5, 2, 2, 4, 0, 1]], [{2, 3}, [7, 1, 6, 1, 0, 0], [7, 2, 5, 0, 0, 0]], [{2, 3}, [3, 5, 1, 4, 0, 2], [3, 4, 2, 4, 0, 1]], [{2, 3}, [3, 2, 9, 1, 0, 0], [3, 3, 8, 0, 0, 0]], [{2, 3}, [5, 1, 1, 5, 3, 0], [5, 1, 1, 5, 2, 0]], [{2, 3}, [3, 2, 1, 8, 1, 0], [3, 2, 1, 8, 0, 0]], [{2, 3}, [10, 1, 3, 1, 0, 0], [10, 2, 2, 0, 0, 0]], [{2, 3}, [8, 3, 3, 1, 0, 0], [8, 4, 2, 0, 0, 0]], [{2, 3}, [4, 4, 1, 4, 0, 2], [4, 3, 2, 4, 0, 1]], [{2, 3}, [5, 1, 6, 3, 0, 0], [5, 2, 5, 2, 0, 0]], [{2, 3}, [5, 1, 7, 0, 0, 2], [5, 1, 6, 1, 0, 1]], [{2, 3}, [3, 1, 9, 0, 0, 2], [3, 1, 8, 1, 0, 1]], [{2, 3}, [5, 1, 6, 0, 1, 2], [5, 1, 5, 1, 1, 1]], [{2, 3}, [4, 1, 7, 0, 1, 2], [4, 1, 6, 1, 1, 1]], [{2, 3}, [9, 1, 4, 0, 1, 0], [9, 1, 4, 0, 0, 0]], [{2, 3}, [5, 7, 1, 1, 0, 1], [5, 6, 2, 1, 0, 0]], [{2, 3}, [2, 1, 10, 2, 0, 0], [2, 2, 9, 1, 0, 0]], [{2, 3}, [6, 1, 1, 5, 2, 0], [6, 1, 1, 5, 1, 0]], [{2, 3}, [7, 1, 1, 4, 2, 0], [7, 1, 1, 4, 1, 0]], [{2, 3}, [3, 6, 1, 4, 0, 1], [3, 5, 2, 4, 0, 0]], [{2, 3}, [9, 1, 4, 0, 0, 1], [9, 1, 3, 1, 0, 0]], [{2, 3}, [2, 4, 1, 7, 0, 1], [2, 3, 2, 7, 0, 0]], [{2, 3}, [4, 1, 6, 4, 0, 0], [4, 2, 5, 3, 0, 0]], [{2, 3}, [6, 1, 6, 2, 0, 0], [6, 2, 5, 1, 0, 0]], [{2, 3}, [7, 3, 4, 1, 0, 0], [7, 4, 3, 0, 0, 0]], [{2, 3}, [6, 2, 1, 5, 1, 0], [6, 2, 1, 5, 0, 0]], [{2, 3}, [8, 1, 5, 0, 0, 1], [8, 1, 4, 1, 0, 0]], [{2, 3}, [4, 2, 8, 1, 0, 0], [4, 3, 7, 0, 0, 0]], [{2, 3}, [3, 1, 10, 0, 0, 1], [3, 1, 9, 1, 0, 0]], [{2, 3}, [5, 2, 1, 6, 0, 1], [5, 1, 2, 6, 0, 0]], [{2, 3}, [10, 1, 2, 1, 0, 1], [10, 1, 1, 2, 0, 0]], [{2, 3}, [5, 2, 7, 1, 0, 0], [5, 3, 6, 0, 0, 0]], [{2, 3}, [7, 2, 5, 0, 1, 0], [7, 2, 5, 0, 0, 0]], [{2, 3}, [8, 2, 4, 1, 0, 0], [8, 3, 3, 0, 0, 0]], [{2, 3}, [5, 1, 8, 1, 0, 0], [5, 2, 7, 0, 0, 0]], [{2, 3}, [4, 1, 9, 0, 0, 1], [4, 1, 8, 1, 0, 0]], [{2, 3}, [4, 1, 9, 1, 0, 0], [4, 2, 8, 0, 0, 0]], [{2, 3}, [10, 1, 3, 0, 0, 1], [10, 1, 2, 1, 0, 0]], [{2, 3}, [3, 1, 8, 3, 0, 0], [3, 2, 7, 2, 0, 0]], [{2, 3}, [11, 1, 2, 0, 0, 1], [11, 1, 1, 1, 0, 0]], [{2, 3}, [5, 1, 7, 2, 0, 0], [5, 2, 6, 1, 0, 0]], [{2, 3}, [4, 1, 7, 3, 0, 0], [4, 2, 6, 2, 0, 0]], [{2, 3}, [10, 1, 3, 0, 1, 0], [10, 1, 3, 0, 0, 0]], [{2, 3}, [6, 3, 5, 1, 0, 0], [6, 4, 4, 0, 0, 0]], [{2, 3}, [6, 3, 1, 4, 0, 1], [6, 2, 2, 4, 0, 0]], [{2, 3}, [7, 2, 5, 1, 0, 0], [7, 3, 4, 0, 0, 0]], [{2, 3}, [8, 1, 5, 0, 1, 0], [8, 1, 5, 0, 0, 0]], [{2, 3}, [5, 1, 8, 0, 1, 0], [5, 1, 8, 0, 0, 0]], [{2, 3}, [3, 1, 6, 0, 4, 1], [3, 1, 5, 1, 4, 0]], [{2, 3}, [3, 1, 1, 9, 0, 1], [3, 0, 2, 9, 0, 0]], [{2, 3}, [2, 2, 1, 9, 0, 1], [2, 1, 2, 9, 0, 0]], [{2, 3}, [1, 5, 1, 7, 0, 1], [1, 4, 2, 7, 0, 0]], [{2, 3}, [1, 3, 1, 9, 0, 1], [1, 2, 2, 9, 0, 0]], [{2, 3}, [7, 2, 1, 4, 1, 0], [7, 2, 1, 4, 0, 0]], [{2, 3}, [8, 1, 1, 4, 1, 0], [8, 1, 1, 4, 0, 0]], [{2, 3}, [4, 3, 1, 6, 0, 1], [4, 2, 2, 6, 0, 0]], [{2, 3}, [9, 1, 4, 1, 0, 0], [9, 2, 3, 0, 0, 0]], [{2, 3}, [5, 1, 7, 1, 0, 1], [5, 1, 6, 2, 0, 0]], [{2, 3}, [3, 8, 1, 2, 0, 1], [3, 7, 2, 2, 0, 0]], [{2, 3}, [5, 5, 1, 3, 0, 1], [5, 4, 2, 3, 0, 0]], [{2, 3}, [4, 1, 1, 7, 2, 0], [4, 1, 1, 7, 1, 0]], [{2, 3}, [9, 1, 3, 1, 0, 1], [9, 1, 2, 2, 0, 0]], [{2, 3}, [2, 1, 1, 10, 1, 0], [2, 1, 1, 10, 0, 0]], [{2, 3}, [9, 2, 1, 2, 0, 1], [9, 1, 2, 2, 0, 0]], [{2, 3}, [1, 4, 1, 8, 0, 1], [1, 3, 2, 8, 0, 0]], [{2, 3}, [2, 3, 1, 8, 0, 1], [2, 2, 2, 8, 0, 0]], [{2, 3}, [8, 3, 1, 2, 0, 1], [8, 2, 2, 2, 0, 0]], [{2, 3}, [4, 1, 1, 8, 1, 0], [4, 1, 1, 8, 0, 0]], [{2, 3}, [7, 4, 1, 2, 0, 1], [7, 3, 2, 2, 0, 0]], [{2, 3}, [2, 7, 1, 4, 0, 1], [2, 6, 2, 4, 0, 0]], [{2, 3}, [6, 2, 1, 5, 0, 1], [6, 1, 2, 5, 0, 0]], [{2, 3}, [6, 6, 1, 1, 0, 1], [6, 5, 2, 1, 0, 0]], [{2, 3}, [2, 6, 1, 5, 0, 1], [2, 5, 2, 5, 0, 0]], [{2, 3}, [6, 5, 1, 2, 0, 1], [6, 4, 2, 2, 0, 0]], [{2, 3}, [3, 4, 1, 6, 0, 1], [3, 3, 2, 6, 0, 0]], [{2, 3}, [6, 1, 2, 0, 5, 1], [6, 1, 1, 1, 5, 0]], [{2, 3}, [3, 7, 1, 3, 0, 1], [3, 6, 2, 3, 0, 0]], [{2, 3}, [5, 6, 1, 2, 0, 1], [5, 5, 2, 2, 0, 0]], [{2, 3}, [7, 5, 1, 1, 0, 1], [7, 4, 2, 1, 0, 0]], [{2, 3}, [4, 4, 1, 5, 0, 1], [4, 3, 2, 5, 0, 0]], [{2, 3}, [7, 1, 1, 5, 1, 0], [7, 1, 1, 5, 0, 0]], [{2, 3}, [4, 7, 1, 2, 0, 1], [4, 6, 2, 2, 0, 0]], [{2, 3}, [5, 1, 8, 0, 0, 1], [5, 1, 7, 1, 0, 0]], [{2, 3}, [7, 1, 6, 0, 1, 0], [7, 1, 6, 0, 0, 0]], [{2, 3}, [8, 1, 4, 1, 0, 1], [8, 1, 3, 2, 0, 0]], [{2, 3}, [4, 1, 1, 8, 0, 1], [4, 0, 2, 8, 0, 0]], [{2, 3}, [3, 1, 9, 2, 0, 0], [3, 2, 8, 1, 0, 0]], [{2, 3}, [5, 4, 1, 4, 0, 1], [5, 3, 2, 4, 0, 0]], [{2, 3}, [2, 5, 1, 6, 0, 1], [2, 4, 2, 6, 0, 0]], [{2, 3}, [8, 4, 1, 1, 0, 1], [8, 3, 2, 1, 0, 0]], [{2, 3}, [9, 1, 3, 2, 0, 0], [9, 2, 2, 1, 0, 0]], [{2, 3}, [5, 2, 1, 6, 1, 0], [5, 2, 1, 6, 0, 0]], [{2, 3}, [5, 1, 3, 0, 5, 1], [5, 1, 2, 1, 5, 0]], [{2, 3}, [3, 2, 1, 8, 0, 1], [3, 1, 2, 8, 0, 0]]} For position , [3, 1, 8, 1, 1, 1], and roll, {2, 4}, the best moves are {[3, 1, 8, 1, 1, 0]} For position , [4, 1, 7, 1, 1, 1], and roll, {2, 4}, the best moves are {[4, 1, 7, 1, 1, 0]} For position , [2, 1, 8, 1, 2, 1], and roll, {2, 4}, the best moves are {[2, 1, 8, 1, 2, 0]} For position , [5, 1, 6, 1, 1, 1], and roll, {2, 4}, the best moves are {[5, 1, 6, 1, 1, 0]} For position , [7, 1, 3, 1, 2, 1], and roll, {2, 4}, the best moves are {[7, 1, 3, 1, 2, 0]} For position , [6, 1, 4, 1, 2, 1], and roll, {2, 4}, the best moves are {[6, 1, 4, 1, 2, 0]} For position , [5, 1, 5, 1, 2, 1], and roll, {2, 4}, the best moves are {[5, 1, 5, 1, 2, 0]} For position , [4, 1, 6, 1, 2, 1], and roll, {2, 4}, the best moves are {[4, 1, 6, 1, 2, 0]} For position , [3, 1, 7, 1, 2, 1], and roll, {2, 4}, the best moves are {[3, 1, 7, 1, 2, 0]} For position , [5, 1, 4, 1, 3, 1], and roll, {2, 4}, the best moves are {[5, 1, 4, 1, 3, 0]} For position , [4, 2, 4, 1, 3, 1], and roll, {2, 4}, the best moves are {[4, 2, 4, 1, 3, 0]} For position , [7, 1, 2, 1, 3, 1], and roll, {2, 4}, the best moves are {[7, 1, 2, 1, 3, 0]} For position , [6, 1, 3, 1, 3, 1], and roll, {2, 4}, the best moves are {[6, 1, 3, 1, 3, 0]} For position , [5, 2, 3, 1, 3, 1], and roll, {2, 4}, the best moves are {[5, 2, 3, 1, 3, 0]} For position , [4, 1, 5, 1, 3, 1], and roll, {2, 4}, the best moves are {[4, 1, 5, 1, 3, 0]} For position , [3, 2, 5, 1, 3, 1], and roll, {2, 4}, the best moves are {[3, 2, 5, 1, 3, 0]} For position , [8, 1, 2, 1, 2, 1], and roll, {2, 4}, the best moves are {[8, 1, 2, 1, 2, 0]} For position , [3, 1, 6, 1, 3, 1], and roll, {2, 4}, the best moves are {[3, 1, 6, 1, 3, 0]} For position , [6, 2, 5, 2, 0, 0], and roll, {2, 4}, the best moves are {[6, 3, 5, 0, 0, 0]} For position , [7, 1, 5, 2, 0, 0], and roll, {2, 4}, the best moves are {[7, 2, 5, 0, 0, 0]} For position , [2, 1, 7, 1, 3, 1], and roll, {2, 4}, the best moves are {[2, 1, 7, 1, 3, 0]} For position , [6, 1, 2, 1, 4, 1], and roll, {2, 4}, the best moves are {[6, 1, 2, 1, 4, 0]} For position , [5, 1, 3, 1, 4, 1], and roll, {2, 4}, the best moves are {[5, 1, 3, 1, 4, 0]} For position , [4, 1, 4, 1, 4, 1], and roll, {2, 4}, the best moves are {[4, 1, 4, 1, 4, 0]} For position , [3, 2, 4, 1, 4, 1], and roll, {2, 4}, the best moves are {[3, 2, 4, 1, 4, 0]} For position , [3, 1, 5, 1, 4, 1], and roll, {2, 4}, the best moves are {[3, 1, 5, 1, 4, 0]} For position , [2, 1, 6, 1, 4, 1], and roll, {2, 4}, the best moves are {[2, 1, 6, 1, 4, 0]} For position , [5, 1, 1, 1, 6, 1], and roll, {2, 4}, the best moves are {[5, 1, 1, 1, 6, 0]} For position , [4, 1, 2, 1, 6, 1], and roll, {2, 4}, the best moves are {[4, 1, 2, 1, 6, 0]} For position , [3, 1, 3, 1, 6, 1], and roll, {2, 4}, the best moves are {[3, 1, 3, 1, 6, 0]} For position , [2, 1, 4, 1, 6, 1], and roll, {2, 4}, the best moves are {[2, 1, 4, 1, 6, 0]} For position , [1, 1, 5, 1, 6, 1], and roll, {2, 4}, the best moves are {[1, 1, 5, 1, 6, 0]} For position , [3, 1, 4, 1, 5, 1], and roll, {2, 4}, the best moves are {[3, 1, 4, 1, 5, 0]} For position , [2, 1, 5, 1, 5, 1], and roll, {2, 4}, the best moves are {[2, 1, 5, 1, 5, 0]} For position , [4, 1, 3, 1, 5, 1], and roll, {2, 4}, the best moves are {[4, 1, 3, 1, 5, 0]} For position , [6, 1, 1, 1, 5, 1], and roll, {2, 4}, the best moves are {[6, 1, 1, 1, 5, 0]} For position , [5, 1, 2, 1, 5, 1], and roll, {2, 4}, the best moves are {[5, 1, 2, 1, 5, 0]} For position , [1, 1, 6, 1, 5, 1], and roll, {2, 4}, the best moves are {[1, 1, 6, 1, 5, 0]} For position , [3, 1, 1, 1, 8, 1], and roll, {2, 4}, the best moves are {[3, 1, 1, 1, 8, 0]} For position , [2, 1, 2, 1, 8, 1], and roll, {2, 4}, the best moves are {[2, 1, 2, 1, 8, 0]} For position , [2, 1, 3, 1, 7, 1], and roll, {2, 4}, the best moves are {[2, 1, 3, 1, 7, 0]} For position , [1, 1, 4, 1, 7, 1], and roll, {2, 4}, the best moves are {[1, 1, 4, 1, 7, 0]} For position , [1, 1, 3, 1, 8, 1], and roll, {2, 4}, the best moves are {[1, 1, 3, 1, 8, 0]} For position , [4, 1, 1, 1, 7, 1], and roll, {2, 4}, the best moves are {[4, 1, 1, 1, 7, 0]} For position , [3, 1, 2, 1, 7, 1], and roll, {2, 4}, the best moves are {[3, 1, 2, 1, 7, 0]} For position , [6, 1, 5, 1, 0, 2], and roll, {2, 4}, the best moves are {[6, 1, 5, 1, 0, 1]} For position , [7, 1, 4, 1, 0, 2], and roll, {2, 4}, the best moves are {[7, 1, 4, 1, 0, 1]} For position , [3, 1, 8, 1, 0, 2], and roll, {2, 4}, the best moves are {[3, 1, 8, 1, 0, 1]} For position , [4, 1, 7, 1, 0, 2], and roll, {2, 4}, the best moves are {[4, 1, 7, 1, 0, 1]} For position , [2, 1, 9, 1, 0, 2], and roll, {2, 4}, the best moves are {[2, 1, 9, 1, 0, 1]} For position , [5, 1, 6, 1, 0, 2], and roll, {2, 4}, the best moves are {[5, 1, 6, 1, 0, 1]} For position , [5, 1, 5, 1, 1, 2], and roll, {2, 4}, the best moves are {[5, 1, 5, 1, 1, 1]} For position , [4, 1, 6, 1, 1, 2], and roll, {2, 4}, the best moves are {[4, 1, 6, 1, 1, 1]} For position , [3, 1, 6, 1, 1, 3], and roll, {2, 4}, the best moves are {[3, 1, 6, 1, 1, 2]} For position , [5, 1, 4, 1, 1, 3], and roll, {2, 4}, the best moves are {[5, 1, 4, 1, 1, 2]} For position , [4, 1, 5, 1, 1, 3], and roll, {2, 4}, the best moves are {[4, 1, 5, 1, 1, 2]} For position , [6, 3, 4, 2, 0, 0], and roll, {2, 4}, the best moves are {[6, 4, 4, 0, 0, 0]} For position , [7, 2, 4, 2, 0, 0], and roll, {2, 4}, the best moves are {[7, 3, 4, 0, 0, 0]} For position , [7, 3, 3, 2, 0, 0], and roll, {2, 4}, the best moves are {[7, 4, 3, 0, 0, 0]} For position , [9, 1, 3, 2, 0, 0], and roll, {2, 4}, the best moves are {[9, 2, 3, 0, 0, 0]} For position , [5, 1, 6, 3, 0, 0], and roll, {2, 4}, the best moves are {[5, 2, 6, 1, 0, 0]} For position , [4, 1, 6, 4, 0, 0], and roll, {2, 4}, the best moves are {[4, 2, 6, 2, 0, 0]} For position , [8, 1, 4, 2, 0, 0], and roll, {2, 4}, the best moves are {[8, 2, 4, 0, 0, 0]} For position , [6, 1, 6, 2, 0, 0], and roll, {2, 4}, the best moves are {[6, 2, 6, 0, 0, 0]} For position , [7, 2, 0, 5, 1, 0], and roll, {2, 4}, the best moves are {[7, 2, 1, 4, 0, 0]} For position , [8, 1, 0, 5, 1, 0], and roll, {2, 4}, the best moves are {[8, 1, 1, 4, 0, 0]} For position , [8, 2, 3, 2, 0, 0], and roll, {2, 4}, the best moves are {[8, 3, 3, 0, 0, 0]} For position , [9, 1, 2, 3, 0, 0], and roll, {2, 4}, the best moves are {[9, 2, 2, 1, 0, 0]} For position , [3, 1, 7, 4, 0, 0], and roll, {2, 4}, the best moves are {[3, 2, 7, 2, 0, 0]} For position , [6, 1, 0, 6, 2, 0], and roll, {2, 4}, the best moves are {[6, 1, 1, 5, 1, 0]} For position , [6, 1, 5, 3, 0, 0], and roll, {2, 4}, the best moves are {[6, 2, 5, 1, 0, 0]} For position , [4, 1, 7, 3, 0, 0], and roll, {2, 4}, the best moves are {[4, 2, 7, 1, 0, 0]} For position , [5, 2, 6, 2, 0, 0], and roll, {2, 4}, the best moves are {[5, 3, 6, 0, 0, 0]} For position , [3, 2, 8, 2, 0, 0], and roll, {2, 4}, the best moves are {[3, 3, 8, 0, 0, 0]} For position , [9, 1, 0, 4, 1, 0], and roll, {2, 4}, the best moves are {[9, 1, 1, 3, 0, 0]} For position , [5, 1, 0, 6, 3, 0], and roll, {2, 4}, the best moves are {[5, 1, 1, 5, 2, 0]} For position , [7, 1, 0, 5, 2, 0], and roll, {2, 4}, the best moves are {[7, 1, 1, 4, 1, 0]} For position , [10, 1, 2, 1, 1, 0], and roll, {2, 4}, the best moves are {[10, 1, 3, 0, 0, 0]} For position , [9, 1, 2, 2, 0, 1], and roll, {2, 4}, the best moves are {[9, 1, 2, 2, 0, 0]} For position , [10, 1, 1, 2, 0, 1], and roll, {2, 4}, the best moves are {[10, 1, 1, 2, 0, 0]} For position , [8, 1, 4, 1, 1, 0], and roll, {2, 4}, the best moves are {[8, 1, 5, 0, 0, 0]} For position , [7, 2, 4, 1, 1, 0], and roll, {2, 4}, the best moves are {[7, 2, 5, 0, 0, 0]} For position , [7, 1, 5, 1, 1, 0], and roll, {2, 4}, the best moves are {[7, 1, 6, 0, 0, 0]} For position , [4, 1, 5, 5, 0, 0], and roll, {2, 4}, the best moves are {[4, 2, 5, 3, 0, 0]} For position , [3, 2, 0, 9, 1, 0], and roll, {2, 4}, the best moves are {[3, 2, 1, 8, 0, 0]} For position , [4, 1, 0, 9, 1, 0], and roll, {2, 4}, the best moves are {[4, 1, 1, 8, 0, 0]} For position , [3, 1, 9, 2, 0, 0], and roll, {2, 4}, the best moves are {[3, 2, 9, 0, 0, 0]} For position , [4, 1, 8, 2, 0, 0], and roll, {2, 4}, the best moves are {[4, 2, 8, 0, 0, 0]} For position , [4, 2, 7, 2, 0, 0], and roll, {2, 4}, the best moves are {[4, 3, 7, 0, 0, 0]} For position , [5, 1, 7, 2, 0, 0], and roll, {2, 4}, the best moves are {[5, 2, 7, 0, 0, 0]} For position , [6, 2, 0, 6, 1, 0], and roll, {2, 4}, the best moves are {[6, 2, 1, 5, 0, 0]} For position , [7, 1, 0, 6, 1, 0], and roll, {2, 4}, the best moves are {[7, 1, 1, 5, 0, 0]} For position , [8, 3, 2, 2, 0, 0], and roll, {2, 4}, the best moves are {[8, 4, 2, 0, 0, 0]} For position , [10, 1, 2, 2, 0, 0], and roll, {2, 4}, the best moves are {[10, 2, 2, 0, 0, 0]} For position , [3, 1, 8, 3, 0, 0], and roll, {2, 4}, the best moves are {[3, 2, 8, 1, 0, 0]} For position , [2, 1, 9, 3, 0, 0], and roll, {2, 4}, the best moves are {[2, 2, 9, 1, 0, 0]} For position , [6, 1, 4, 4, 0, 0], and roll, {2, 4}, the best moves are {[6, 2, 4, 2, 0, 0]} For position , [5, 1, 5, 4, 0, 0], and roll, {2, 4}, the best moves are {[5, 2, 5, 2, 0, 0]} For position , [5, 2, 0, 7, 1, 0], and roll, {2, 4}, the best moves are {[5, 2, 1, 6, 0, 0]} For position , [6, 1, 0, 7, 1, 0], and roll, {2, 4}, the best moves are {[6, 1, 1, 6, 0, 0]} For position , [5, 1, 0, 7, 2, 0], and roll, {2, 4}, the best moves are {[5, 1, 1, 6, 1, 0]} For position , [9, 1, 3, 1, 1, 0], and roll, {2, 4}, the best moves are {[9, 1, 4, 0, 0, 0]} For position , [11, 1, 1, 1, 1, 0], and roll, {2, 4}, the best moves are {[11, 1, 2, 0, 0, 0]} For position , [7, 2, 4, 1, 0, 1], and roll, {2, 4}, the best moves are {[7, 2, 4, 1, 0, 0]} For position , [8, 1, 4, 1, 0, 1], and roll, {2, 4}, the best moves are {[8, 1, 4, 1, 0, 0]} For position , [6, 1, 6, 1, 1, 0], and roll, {2, 4}, the best moves are {[6, 1, 7, 0, 0, 0]} For position , [4, 1, 0, 8, 2, 0], and roll, {2, 4}, the best moves are {[4, 1, 1, 7, 1, 0]} For position , [2, 1, 10, 2, 0, 0], and roll, {2, 4}, the best moves are {[2, 2, 10, 0, 0, 0]} For position , [7, 1, 4, 3, 0, 0], and roll, {2, 4}, the best moves are {[7, 2, 4, 1, 0, 0]} For position , [2, 1, 0, 11, 1, 0], and roll, {2, 4}, the best moves are {[2, 1, 1, 10, 0, 0]} For position , [3, 1, 9, 1, 0, 1], and roll, {2, 4}, the best moves are {[3, 1, 9, 1, 0, 0]} For position , [4, 1, 8, 1, 0, 1], and roll, {2, 4}, the best moves are {[4, 1, 8, 1, 0, 0]} For position , [5, 1, 7, 1, 0, 1], and roll, {2, 4}, the best moves are {[5, 1, 7, 1, 0, 0]} For position , [6, 1, 6, 1, 0, 1], and roll, {2, 4}, the best moves are {[6, 1, 6, 1, 0, 0]} For position , [6, 2, 5, 1, 0, 1], and roll, {2, 4}, the best moves are {[6, 2, 5, 1, 0, 0]} For position , [7, 1, 5, 1, 0, 1], and roll, {2, 4}, the best moves are {[7, 1, 5, 1, 0, 0]} For position , [5, 1, 7, 1, 1, 0], and roll, {2, 4}, the best moves are {[5, 1, 8, 0, 0, 0]} For position , [3, 1, 0, 10, 1, 0], and roll, {2, 4}, the best moves are {[3, 1, 1, 9, 0, 0]} For position , [9, 1, 3, 1, 0, 1], and roll, {2, 4}, the best moves are {[9, 1, 3, 1, 0, 0]} For position , [10, 1, 2, 1, 0, 1], and roll, {2, 4}, the best moves are {[10, 1, 2, 1, 0, 0]} For position , [4, 2, 0, 8, 1, 0], and roll, {2, 4}, the best moves are {[4, 2, 1, 7, 0, 0]} For position , [5, 1, 0, 8, 1, 0], and roll, {2, 4}, the best moves are {[5, 1, 1, 7, 0, 0]} For position , [7, 1, 4, 1, 1, 1], and roll, {2, 4}, the best moves are {[7, 1, 4, 1, 1, 0]} For position , [6, 1, 5, 1, 1, 1], and roll, {2, 4}, the best moves are {[6, 1, 5, 1, 1, 0]} For position , [11, 1, 1, 1, 0, 1], and roll, {2, 4}, the best moves are {[11, 1, 1, 1, 0, 0]} For position , [8, 1, 3, 2, 0, 1], and roll, {2, 4}, the best moves are {[8, 1, 3, 2, 0, 0]} For position , [7, 1, 4, 2, 0, 1], and roll, {2, 4}, the best moves are {[7, 1, 4, 2, 0, 0]} For position , [6, 1, 5, 2, 0, 1], and roll, {2, 4}, the best moves are {[6, 1, 5, 2, 0, 0]} For position , [5, 1, 6, 2, 0, 1], and roll, {2, 4}, the best moves are {[5, 1, 6, 2, 0, 0]} For position , [3, 1, 6, 5, 0, 0], and roll, {2, 4}, the best moves are {[3, 2, 6, 3, 0, 0]} For position , [5, 2, 6, 1, 0, 1], and roll, {2, 4}, the best moves are {[5, 2, 6, 1, 0, 0]} When the roll was, {2, 4}, and there were, 15, checkers , the exceptions to greedy play were {[{2, 4}, [1, 1, 6, 1, 5, 1], [1, 1, 6, 1, 5, 0]], [{2, 4}, [3, 1, 1, 1, 8, 1], [3, 1, 1, 1, 8, 0]], [{2, 4}, [6, 1, 5, 1, 0, 2], [6, 1, 5, 1, 0, 1]], [{2, 4}, [2, 1, 2, 1, 8, 1], [2, 1, 2, 1, 8, 0]], [{2, 4}, [1, 1, 4, 1, 7, 1], [1, 1, 4, 1, 7, 0]], [{2, 4}, [7, 1, 4, 1, 0, 2], [7, 1, 4, 1, 0, 1]], [{2, 4}, [2, 1, 3, 1, 7, 1], [2, 1, 3, 1, 7, 0]], [{2, 4}, [4, 1, 1, 1, 7, 1], [4, 1, 1, 1, 7, 0]], [{2, 4}, [3, 1, 2, 1, 7, 1], [3, 1, 2, 1, 7, 0]], [{2, 4}, [3, 1, 8, 1, 0, 2], [3, 1, 8, 1, 0, 1]], [{2, 4}, [5, 1, 6, 1, 0, 2], [5, 1, 6, 1, 0, 1]], [{2, 4}, [4, 1, 7, 1, 0, 2], [4, 1, 7, 1, 0, 1]], [{2, 4}, [2, 1, 9, 1, 0, 2], [2, 1, 9, 1, 0, 1]], [{2, 4}, [4, 1, 6, 1, 1, 2], [4, 1, 6, 1, 1, 1]], [{2, 4}, [5, 1, 4, 1, 1, 3], [5, 1, 4, 1, 1, 2]], [{2, 4}, [3, 1, 6, 1, 1, 3], [3, 1, 6, 1, 1, 2]], [{2, 4}, [7, 2, 4, 2, 0, 0], [7, 3, 4, 0, 0, 0]], [{2, 4}, [6, 3, 4, 2, 0, 0], [6, 4, 4, 0, 0, 0]], [{2, 4}, [4, 1, 5, 1, 1, 3], [4, 1, 5, 1, 1, 2]], [{2, 4}, [4, 1, 6, 4, 0, 0], [4, 2, 6, 2, 0, 0]], [{2, 4}, [9, 1, 3, 2, 0, 0], [9, 2, 3, 0, 0, 0]], [{2, 4}, [5, 1, 5, 1, 1, 2], [5, 1, 5, 1, 1, 1]], [{2, 4}, [7, 3, 3, 2, 0, 0], [7, 4, 3, 0, 0, 0]], [{2, 4}, [8, 1, 4, 2, 0, 0], [8, 2, 4, 0, 0, 0]], [{2, 4}, [9, 1, 2, 3, 0, 0], [9, 2, 2, 1, 0, 0]], [{2, 4}, [8, 2, 3, 2, 0, 0], [8, 3, 3, 0, 0, 0]], [{2, 4}, [3, 2, 8, 2, 0, 0], [3, 3, 8, 0, 0, 0]], [{2, 4}, [5, 1, 6, 3, 0, 0], [5, 2, 6, 1, 0, 0]], [{2, 4}, [6, 1, 6, 2, 0, 0], [6, 2, 6, 0, 0, 0]], [{2, 4}, [10, 1, 2, 1, 1, 0], [10, 1, 3, 0, 0, 0]], [{2, 4}, [8, 1, 0, 5, 1, 0], [8, 1, 1, 4, 0, 0]], [{2, 4}, [10, 1, 1, 2, 0, 1], [10, 1, 1, 2, 0, 0]], [{2, 4}, [7, 2, 0, 5, 1, 0], [7, 2, 1, 4, 0, 0]], [{2, 4}, [3, 1, 7, 4, 0, 0], [3, 2, 7, 2, 0, 0]], [{2, 4}, [6, 1, 5, 3, 0, 0], [6, 2, 5, 1, 0, 0]], [{2, 4}, [6, 1, 0, 6, 2, 0], [6, 1, 1, 5, 1, 0]], [{2, 4}, [7, 1, 5, 1, 1, 0], [7, 1, 6, 0, 0, 0]], [{2, 4}, [4, 1, 0, 9, 1, 0], [4, 1, 1, 8, 0, 0]], [{2, 4}, [4, 1, 7, 3, 0, 0], [4, 2, 7, 1, 0, 0]], [{2, 4}, [3, 2, 0, 9, 1, 0], [3, 2, 1, 8, 0, 0]], [{2, 4}, [4, 1, 8, 2, 0, 0], [4, 2, 8, 0, 0, 0]], [{2, 4}, [5, 2, 6, 2, 0, 0], [5, 3, 6, 0, 0, 0]], [{2, 4}, [3, 1, 9, 2, 0, 0], [3, 2, 9, 0, 0, 0]], [{2, 4}, [9, 1, 0, 4, 1, 0], [9, 1, 1, 3, 0, 0]], [{2, 4}, [8, 3, 2, 2, 0, 0], [8, 4, 2, 0, 0, 0]], [{2, 4}, [5, 1, 0, 6, 3, 0], [5, 1, 1, 5, 2, 0]], [{2, 4}, [7, 1, 0, 6, 1, 0], [7, 1, 1, 5, 0, 0]], [{2, 4}, [3, 1, 8, 3, 0, 0], [3, 2, 8, 1, 0, 0]], [{2, 4}, [10, 1, 2, 2, 0, 0], [10, 2, 2, 0, 0, 0]], [{2, 4}, [2, 1, 9, 3, 0, 0], [2, 2, 9, 1, 0, 0]], [{2, 4}, [7, 1, 0, 5, 2, 0], [7, 1, 1, 4, 1, 0]], [{2, 4}, [5, 1, 5, 4, 0, 0], [5, 2, 5, 2, 0, 0]], [{2, 4}, [3, 1, 0, 10, 1, 0], [3, 1, 1, 9, 0, 0]], [{2, 4}, [6, 1, 4, 4, 0, 0], [6, 2, 4, 2, 0, 0]], [{2, 4}, [9, 1, 2, 2, 0, 1], [9, 1, 2, 2, 0, 0]], [{2, 4}, [7, 2, 4, 1, 1, 0], [7, 2, 5, 0, 0, 0]], [{2, 4}, [8, 1, 4, 1, 1, 0], [8, 1, 5, 0, 0, 0]], [{2, 4}, [4, 1, 5, 5, 0, 0], [4, 2, 5, 3, 0, 0]], [{2, 4}, [9, 1, 3, 1, 1, 0], [9, 1, 4, 0, 0, 0]], [{2, 4}, [11, 1, 1, 1, 1, 0], [11, 1, 2, 0, 0, 0]], [{2, 4}, [4, 2, 7, 2, 0, 0], [4, 3, 7, 0, 0, 0]], [{2, 4}, [5, 1, 7, 2, 0, 0], [5, 2, 7, 0, 0, 0]], [{2, 4}, [4, 1, 0, 8, 2, 0], [4, 1, 1, 7, 1, 0]], [{2, 4}, [6, 2, 0, 6, 1, 0], [6, 2, 1, 5, 0, 0]], [{2, 4}, [2, 1, 10, 2, 0, 0], [2, 2, 10, 0, 0, 0]], [{2, 4}, [2, 1, 0, 11, 1, 0], [2, 1, 1, 10, 0, 0]], [{2, 4}, [6, 1, 0, 7, 1, 0], [6, 1, 1, 6, 0, 0]], [{2, 4}, [5, 2, 0, 7, 1, 0], [5, 2, 1, 6, 0, 0]], [{2, 4}, [5, 1, 0, 7, 2, 0], [5, 1, 1, 6, 1, 0]], [{2, 4}, [7, 2, 4, 1, 0, 1], [7, 2, 4, 1, 0, 0]], [{2, 4}, [9, 1, 3, 1, 0, 1], [9, 1, 3, 1, 0, 0]], [{2, 4}, [8, 1, 4, 1, 0, 1], [8, 1, 4, 1, 0, 0]], [{2, 4}, [10, 1, 2, 1, 0, 1], [10, 1, 2, 1, 0, 0]], [{2, 4}, [6, 1, 6, 1, 1, 0], [6, 1, 7, 0, 0, 0]], [{2, 4}, [7, 1, 4, 3, 0, 0], [7, 2, 4, 1, 0, 0]], [{2, 4}, [3, 1, 9, 1, 0, 1], [3, 1, 9, 1, 0, 0]], [{2, 4}, [4, 1, 8, 1, 0, 1], [4, 1, 8, 1, 0, 0]], [{2, 4}, [5, 1, 7, 1, 0, 1], [5, 1, 7, 1, 0, 0]], [{2, 4}, [6, 2, 5, 1, 0, 1], [6, 2, 5, 1, 0, 0]], [{2, 4}, [6, 1, 6, 1, 0, 1], [6, 1, 6, 1, 0, 0]], [{2, 4}, [7, 1, 5, 1, 0, 1], [7, 1, 5, 1, 0, 0]], [{2, 4}, [5, 1, 7, 1, 1, 0], [5, 1, 8, 0, 0, 0]], [{2, 4}, [4, 2, 0, 8, 1, 0], [4, 2, 1, 7, 0, 0]], [{2, 4}, [5, 1, 0, 8, 1, 0], [5, 1, 1, 7, 0, 0]], [{2, 4}, [7, 1, 4, 1, 1, 1], [7, 1, 4, 1, 1, 0]], [{2, 4}, [1, 1, 3, 1, 8, 1], [1, 1, 3, 1, 8, 0]], [{2, 4}, [6, 1, 5, 1, 1, 1], [6, 1, 5, 1, 1, 0]], [{2, 4}, [11, 1, 1, 1, 0, 1], [11, 1, 1, 1, 0, 0]], [{2, 4}, [8, 1, 3, 2, 0, 1], [8, 1, 3, 2, 0, 0]], [{2, 4}, [7, 1, 4, 2, 0, 1], [7, 1, 4, 2, 0, 0]], [{2, 4}, [7, 1, 3, 1, 2, 1], [7, 1, 3, 1, 2, 0]], [{2, 4}, [4, 1, 7, 1, 1, 1], [4, 1, 7, 1, 1, 0]], [{2, 4}, [6, 1, 5, 2, 0, 1], [6, 1, 5, 2, 0, 0]], [{2, 4}, [3, 1, 7, 1, 2, 1], [3, 1, 7, 1, 2, 0]], [{2, 4}, [8, 1, 2, 1, 2, 1], [8, 1, 2, 1, 2, 0]], [{2, 4}, [6, 1, 4, 1, 2, 1], [6, 1, 4, 1, 2, 0]], [{2, 4}, [5, 1, 6, 2, 0, 1], [5, 1, 6, 2, 0, 0]], [{2, 4}, [3, 1, 6, 5, 0, 0], [3, 2, 6, 3, 0, 0]], [{2, 4}, [5, 1, 6, 1, 1, 1], [5, 1, 6, 1, 1, 0]], [{2, 4}, [4, 1, 5, 1, 3, 1], [4, 1, 5, 1, 3, 0]], [{2, 4}, [4, 1, 6, 1, 2, 1], [4, 1, 6, 1, 2, 0]], [{2, 4}, [7, 1, 2, 1, 3, 1], [7, 1, 2, 1, 3, 0]], [{2, 4}, [7, 1, 5, 2, 0, 0], [7, 2, 5, 0, 0, 0]], [{2, 4}, [2, 1, 7, 1, 3, 1], [2, 1, 7, 1, 3, 0]], [{2, 4}, [5, 1, 4, 1, 3, 1], [5, 1, 4, 1, 3, 0]], [{2, 4}, [5, 2, 6, 1, 0, 1], [5, 2, 6, 1, 0, 0]], [{2, 4}, [2, 1, 8, 1, 2, 1], [2, 1, 8, 1, 2, 0]], [{2, 4}, [3, 2, 5, 1, 3, 1], [3, 2, 5, 1, 3, 0]], [{2, 4}, [4, 1, 3, 1, 5, 1], [4, 1, 3, 1, 5, 0]], [{2, 4}, [5, 1, 3, 1, 4, 1], [5, 1, 3, 1, 4, 0]], [{2, 4}, [6, 1, 2, 1, 4, 1], [6, 1, 2, 1, 4, 0]], [{2, 4}, [4, 2, 4, 1, 3, 1], [4, 2, 4, 1, 3, 0]], [{2, 4}, [5, 1, 5, 1, 2, 1], [5, 1, 5, 1, 2, 0]], [{2, 4}, [6, 2, 5, 2, 0, 0], [6, 3, 5, 0, 0, 0]], [{2, 4}, [3, 2, 4, 1, 4, 1], [3, 2, 4, 1, 4, 0]], [{2, 4}, [3, 1, 6, 1, 3, 1], [3, 1, 6, 1, 3, 0]], [{2, 4}, [3, 1, 4, 1, 5, 1], [3, 1, 4, 1, 5, 0]], [{2, 4}, [5, 1, 1, 1, 6, 1], [5, 1, 1, 1, 6, 0]], [{2, 4}, [2, 1, 4, 1, 6, 1], [2, 1, 4, 1, 6, 0]], [{2, 4}, [4, 1, 4, 1, 4, 1], [4, 1, 4, 1, 4, 0]], [{2, 4}, [5, 1, 2, 1, 5, 1], [5, 1, 2, 1, 5, 0]], [{2, 4}, [2, 1, 6, 1, 4, 1], [2, 1, 6, 1, 4, 0]], [{2, 4}, [3, 1, 5, 1, 4, 1], [3, 1, 5, 1, 4, 0]], [{2, 4}, [4, 1, 2, 1, 6, 1], [4, 1, 2, 1, 6, 0]], [{2, 4}, [3, 1, 3, 1, 6, 1], [3, 1, 3, 1, 6, 0]], [{2, 4}, [1, 1, 5, 1, 6, 1], [1, 1, 5, 1, 6, 0]], [{2, 4}, [6, 1, 1, 1, 5, 1], [6, 1, 1, 1, 5, 0]], [{2, 4}, [6, 1, 3, 1, 3, 1], [6, 1, 3, 1, 3, 0]], [{2, 4}, [5, 2, 3, 1, 3, 1], [5, 2, 3, 1, 3, 0]], [{2, 4}, [2, 1, 5, 1, 5, 1], [2, 1, 5, 1, 5, 0]], [{2, 4}, [3, 1, 8, 1, 1, 1], [3, 1, 8, 1, 1, 0]]} For position , [11, 1, 1, 0, 2, 0], and roll, {2, 5}, the best moves are {[11, 1, 2, 0, 0, 0]} For position , [5, 2, 6, 0, 1, 1], and roll, {2, 5}, the best moves are {[5, 2, 6, 1, 0, 0]} For position , [10, 1, 2, 0, 1, 1], and roll, {2, 5}, the best moves are {[10, 1, 2, 1, 0, 0]} For position , [9, 1, 3, 0, 1, 1], and roll, {2, 5}, the best moves are {[9, 1, 3, 1, 0, 0]} For position , [7, 2, 4, 0, 1, 1], and roll, {2, 5}, the best moves are {[7, 2, 4, 1, 0, 0]} For position , [7, 1, 5, 0, 1, 1], and roll, {2, 5}, the best moves are {[7, 1, 5, 1, 0, 0]} For position , [6, 2, 5, 0, 1, 1], and roll, {2, 5}, the best moves are {[6, 2, 5, 1, 0, 0]} For position , [6, 1, 6, 0, 1, 1], and roll, {2, 5}, the best moves are {[6, 1, 6, 1, 0, 0]} For position , [4, 1, 8, 0, 1, 1], and roll, {2, 5}, the best moves are {[4, 1, 8, 1, 0, 0]} For position , [4, 1, 7, 0, 2, 1], and roll, {2, 5}, the best moves are {[4, 1, 7, 1, 1, 0]} For position , [3, 1, 8, 0, 2, 1], and roll, {2, 5}, the best moves are {[3, 1, 8, 1, 1, 0]} For position , [9, 1, 2, 1, 1, 1], and roll, {2, 5}, the best moves are {[9, 1, 2, 2, 0, 0]} For position , [5, 1, 6, 1, 1, 1], and roll, {2, 5}, the best moves are {[5, 1, 6, 2, 0, 0]} For position , [5, 1, 7, 0, 1, 1], and roll, {2, 5}, the best moves are {[5, 1, 7, 1, 0, 0]} For position , [3, 1, 9, 0, 1, 1], and roll, {2, 5}, the best moves are {[3, 1, 9, 1, 0, 0]} For position , [8, 1, 4, 0, 1, 1], and roll, {2, 5}, the best moves are {[8, 1, 4, 1, 0, 0]} For position , [11, 1, 1, 0, 1, 1], and roll, {2, 5}, the best moves are {[11, 1, 1, 1, 0, 0]} For position , [5, 1, 6, 0, 2, 1], and roll, {2, 5}, the best moves are {[5, 1, 6, 1, 1, 0]} For position , [2, 1, 7, 0, 4, 1], and roll, {2, 5}, the best moves are {[2, 1, 7, 1, 3, 0]} For position , [7, 1, 2, 0, 4, 1], and roll, {2, 5}, the best moves are {[7, 1, 2, 1, 3, 0]} For position , [6, 1, 3, 0, 4, 1], and roll, {2, 5}, the best moves are {[6, 1, 3, 1, 3, 0]} For position , [5, 2, 3, 0, 4, 1], and roll, {2, 5}, the best moves are {[5, 2, 3, 1, 3, 0]} For position , [5, 1, 4, 0, 4, 1], and roll, {2, 5}, the best moves are {[5, 1, 4, 1, 3, 0]} For position , [4, 2, 4, 0, 4, 1], and roll, {2, 5}, the best moves are {[4, 2, 4, 1, 3, 0]} For position , [4, 1, 5, 0, 4, 1], and roll, {2, 5}, the best moves are {[4, 1, 5, 1, 3, 0]} For position , [3, 2, 5, 0, 4, 1], and roll, {2, 5}, the best moves are {[3, 2, 5, 1, 3, 0]} For position , [8, 1, 2, 0, 3, 1], and roll, {2, 5}, the best moves are {[8, 1, 2, 1, 2, 0]} For position , [7, 1, 3, 0, 3, 1], and roll, {2, 5}, the best moves are {[7, 1, 3, 1, 2, 0]} For position , [6, 1, 4, 0, 3, 1], and roll, {2, 5}, the best moves are {[6, 1, 4, 1, 2, 0]} For position , [5, 1, 5, 0, 3, 1], and roll, {2, 5}, the best moves are {[5, 1, 5, 1, 2, 0]} For position , [4, 1, 6, 0, 3, 1], and roll, {2, 5}, the best moves are {[4, 1, 6, 1, 2, 0]} For position , [3, 1, 7, 0, 3, 1], and roll, {2, 5}, the best moves are {[3, 1, 7, 1, 2, 0]} For position , [2, 1, 8, 0, 3, 1], and roll, {2, 5}, the best moves are {[2, 1, 8, 1, 2, 0]} For position , [3, 1, 6, 0, 4, 1], and roll, {2, 5}, the best moves are {[3, 1, 6, 1, 3, 0]} For position , [6, 1, 2, 0, 5, 1], and roll, {2, 5}, the best moves are {[6, 1, 2, 1, 4, 0]} For position , [5, 1, 3, 0, 5, 1], and roll, {2, 5}, the best moves are {[5, 1, 3, 1, 4, 0]} For position , [1, 1, 6, 0, 6, 1], and roll, {2, 5}, the best moves are {[1, 1, 6, 1, 5, 0]} For position , [4, 1, 4, 0, 5, 1], and roll, {2, 5}, the best moves are {[4, 1, 4, 1, 4, 0]} For position , [3, 2, 4, 0, 5, 1], and roll, {2, 5}, the best moves are {[3, 2, 4, 1, 4, 0]} For position , [3, 1, 5, 0, 5, 1], and roll, {2, 5}, the best moves are {[3, 1, 5, 1, 4, 0]} For position , [2, 1, 6, 0, 5, 1], and roll, {2, 5}, the best moves are {[2, 1, 6, 1, 4, 0]} For position , [5, 1, 1, 0, 7, 1], and roll, {2, 5}, the best moves are {[5, 1, 1, 1, 6, 0]} For position , [4, 1, 2, 0, 7, 1], and roll, {2, 5}, the best moves are {[4, 1, 2, 1, 6, 0]} For position , [3, 1, 3, 0, 7, 1], and roll, {2, 5}, the best moves are {[3, 1, 3, 1, 6, 0]} For position , [2, 1, 4, 0, 7, 1], and roll, {2, 5}, the best moves are {[2, 1, 4, 1, 6, 0]} For position , [1, 1, 5, 0, 7, 1], and roll, {2, 5}, the best moves are {[1, 1, 5, 1, 6, 0]} For position , [2, 1, 5, 0, 6, 1], and roll, {2, 5}, the best moves are {[2, 1, 5, 1, 5, 0]} For position , [4, 1, 3, 0, 6, 1], and roll, {2, 5}, the best moves are {[4, 1, 3, 1, 5, 0]} For position , [6, 1, 1, 0, 6, 1], and roll, {2, 5}, the best moves are {[6, 1, 1, 1, 5, 0]} For position , [5, 1, 2, 0, 6, 1], and roll, {2, 5}, the best moves are {[5, 1, 2, 1, 5, 0]} For position , [3, 1, 4, 0, 6, 1], and roll, {2, 5}, the best moves are {[3, 1, 4, 1, 5, 0]} For position , [6, 1, 5, 0, 2, 1], and roll, {2, 5}, the best moves are {[6, 1, 5, 1, 1, 0]} For position , [7, 1, 4, 0, 2, 1], and roll, {2, 5}, the best moves are {[7, 1, 4, 1, 1, 0]} For position , [3, 1, 1, 0, 9, 1], and roll, {2, 5}, the best moves are {[3, 1, 1, 1, 8, 0]} For position , [2, 1, 2, 0, 9, 1], and roll, {2, 5}, the best moves are {[2, 1, 2, 1, 8, 0]} For position , [1, 1, 3, 0, 9, 1], and roll, {2, 5}, the best moves are {[1, 1, 3, 1, 8, 0]} For position , [4, 1, 1, 0, 8, 1], and roll, {2, 5}, the best moves are {[4, 1, 1, 1, 7, 0]} For position , [3, 1, 2, 0, 8, 1], and roll, {2, 5}, the best moves are {[3, 1, 2, 1, 7, 0]} For position , [2, 1, 3, 0, 8, 1], and roll, {2, 5}, the best moves are {[2, 1, 3, 1, 7, 0]} For position , [1, 1, 4, 0, 8, 1], and roll, {2, 5}, the best moves are {[1, 1, 4, 1, 7, 0]} For position , [5, 1, 7, 0, 2, 0], and roll, {2, 5}, the best moves are {[5, 1, 8, 0, 0, 0]} For position , [8, 1, 4, 0, 2, 0], and roll, {2, 5}, the best moves are {[8, 1, 5, 0, 0, 0]} For position , [4, 1, 7, 0, 1, 2], and roll, {2, 5}, the best moves are {[4, 1, 7, 1, 0, 1]} For position , [3, 1, 8, 0, 1, 2], and roll, {2, 5}, the best moves are {[3, 1, 8, 1, 0, 1]} For position , [2, 1, 9, 0, 1, 2], and roll, {2, 5}, the best moves are {[2, 1, 9, 1, 0, 1]} For position , [7, 1, 4, 0, 1, 2], and roll, {2, 5}, the best moves are {[7, 1, 4, 1, 0, 1]} For position , [6, 1, 5, 0, 1, 2], and roll, {2, 5}, the best moves are {[6, 1, 5, 1, 0, 1]} For position , [5, 1, 6, 0, 1, 2], and roll, {2, 5}, the best moves are {[5, 1, 6, 1, 0, 1]} For position , [5, 1, 5, 0, 2, 2], and roll, {2, 5}, the best moves are {[5, 1, 5, 1, 1, 1]} For position , [4, 1, 6, 0, 2, 2], and roll, {2, 5}, the best moves are {[4, 1, 6, 1, 1, 1]} For position , [4, 1, 5, 0, 2, 3], and roll, {2, 5}, the best moves are {[4, 1, 5, 1, 1, 2]} For position , [5, 1, 4, 0, 2, 3], and roll, {2, 5}, the best moves are {[5, 1, 4, 1, 1, 2]} For position , [3, 1, 6, 0, 2, 3], and roll, {2, 5}, the best moves are {[3, 1, 6, 1, 1, 2]} For position , [7, 1, 4, 2, 1, 0], and roll, {2, 5}, the best moves are {[7, 2, 4, 1, 0, 0]} For position , [7, 1, 0, 4, 3, 0], and roll, {2, 5}, the best moves are {[7, 1, 1, 4, 1, 0]} For position , [3, 1, 6, 4, 1, 0], and roll, {2, 5}, the best moves are {[3, 2, 6, 3, 0, 0]} For position , [7, 2, 0, 4, 2, 0], and roll, {2, 5}, the best moves are {[7, 2, 1, 4, 0, 0]} For position , [8, 1, 0, 4, 2, 0], and roll, {2, 5}, the best moves are {[8, 1, 1, 4, 0, 0]} For position , [3, 1, 8, 2, 1, 0], and roll, {2, 5}, the best moves are {[3, 2, 8, 1, 0, 0]} For position , [5, 2, 0, 6, 2, 0], and roll, {2, 5}, the best moves are {[5, 2, 1, 6, 0, 0]} For position , [6, 1, 0, 6, 2, 0], and roll, {2, 5}, the best moves are {[6, 1, 1, 6, 0, 0]} For position , [9, 1, 2, 2, 1, 0], and roll, {2, 5}, the best moves are {[9, 2, 2, 1, 0, 0]} For position , [4, 1, 5, 4, 1, 0], and roll, {2, 5}, the best moves are {[4, 2, 5, 3, 0, 0]} For position , [2, 1, 10, 1, 1, 0], and roll, {2, 5}, the best moves are {[2, 2, 10, 0, 0, 0]} For position , [5, 1, 0, 6, 3, 0], and roll, {2, 5}, the best moves are {[5, 1, 1, 6, 1, 0]} For position , [9, 1, 0, 3, 2, 0], and roll, {2, 5}, the best moves are {[9, 1, 1, 3, 0, 0]} For position , [6, 2, 0, 5, 2, 0], and roll, {2, 5}, the best moves are {[6, 2, 1, 5, 0, 0]} For position , [7, 1, 0, 5, 2, 0], and roll, {2, 5}, the best moves are {[7, 1, 1, 5, 0, 0]} For position , [2, 1, 0, 10, 2, 0], and roll, {2, 5}, the best moves are {[2, 1, 1, 10, 0, 0]} For position , [10, 1, 2, 0, 2, 0], and roll, {2, 5}, the best moves are {[10, 1, 3, 0, 0, 0]} For position , [5, 1, 0, 5, 4, 0], and roll, {2, 5}, the best moves are {[5, 1, 1, 5, 2, 0]} For position , [10, 1, 2, 1, 1, 0], and roll, {2, 5}, the best moves are {[10, 2, 2, 0, 0, 0]} For position , [8, 3, 2, 1, 1, 0], and roll, {2, 5}, the best moves are {[8, 4, 2, 0, 0, 0]} For position , [8, 1, 4, 1, 1, 0], and roll, {2, 5}, the best moves are {[8, 2, 4, 0, 0, 0]} For position , [7, 2, 4, 1, 1, 0], and roll, {2, 5}, the best moves are {[7, 3, 4, 0, 0, 0]} For position , [6, 3, 4, 1, 1, 0], and roll, {2, 5}, the best moves are {[6, 4, 4, 0, 0, 0]} For position , [7, 1, 5, 1, 1, 0], and roll, {2, 5}, the best moves are {[7, 2, 5, 0, 0, 0]} For position , [6, 2, 5, 1, 1, 0], and roll, {2, 5}, the best moves are {[6, 3, 5, 0, 0, 0]} For position , [9, 1, 3, 0, 2, 0], and roll, {2, 5}, the best moves are {[9, 1, 4, 0, 0, 0]} For position , [3, 2, 8, 1, 1, 0], and roll, {2, 5}, the best moves are {[3, 3, 8, 0, 0, 0]} For position , [4, 1, 7, 2, 1, 0], and roll, {2, 5}, the best moves are {[4, 2, 7, 1, 0, 0]} For position , [2, 1, 9, 2, 1, 0], and roll, {2, 5}, the best moves are {[2, 2, 9, 1, 0, 0]} For position , [5, 1, 6, 2, 1, 0], and roll, {2, 5}, the best moves are {[5, 2, 6, 1, 0, 0]} For position , [6, 1, 5, 2, 1, 0], and roll, {2, 5}, the best moves are {[6, 2, 5, 1, 0, 0]} For position , [5, 1, 5, 3, 1, 0], and roll, {2, 5}, the best moves are {[5, 2, 5, 2, 0, 0]} For position , [6, 1, 4, 3, 1, 0], and roll, {2, 5}, the best moves are {[6, 2, 4, 2, 0, 0]} For position , [4, 2, 0, 7, 2, 0], and roll, {2, 5}, the best moves are {[4, 2, 1, 7, 0, 0]} For position , [5, 1, 0, 7, 2, 0], and roll, {2, 5}, the best moves are {[5, 1, 1, 7, 0, 0]} For position , [9, 1, 3, 1, 1, 0], and roll, {2, 5}, the best moves are {[9, 2, 3, 0, 0, 0]} For position , [7, 3, 3, 1, 1, 0], and roll, {2, 5}, the best moves are {[7, 4, 3, 0, 0, 0]} For position , [6, 1, 0, 5, 3, 0], and roll, {2, 5}, the best moves are {[6, 1, 1, 5, 1, 0]} For position , [7, 2, 4, 0, 2, 0], and roll, {2, 5}, the best moves are {[7, 2, 5, 0, 0, 0]} For position , [7, 1, 5, 0, 2, 0], and roll, {2, 5}, the best moves are {[7, 1, 6, 0, 0, 0]} For position , [4, 1, 0, 7, 3, 0], and roll, {2, 5}, the best moves are {[4, 1, 1, 7, 1, 0]} For position , [6, 1, 6, 1, 1, 0], and roll, {2, 5}, the best moves are {[6, 2, 6, 0, 0, 0]} For position , [5, 2, 6, 1, 1, 0], and roll, {2, 5}, the best moves are {[5, 3, 6, 0, 0, 0]} For position , [3, 2, 0, 8, 2, 0], and roll, {2, 5}, the best moves are {[3, 2, 1, 8, 0, 0]} For position , [4, 1, 0, 8, 2, 0], and roll, {2, 5}, the best moves are {[4, 1, 1, 8, 0, 0]} For position , [3, 1, 0, 9, 2, 0], and roll, {2, 5}, the best moves are {[3, 1, 1, 9, 0, 0]} For position , [5, 1, 7, 1, 1, 0], and roll, {2, 5}, the best moves are {[5, 2, 7, 0, 0, 0]} For position , [4, 2, 7, 1, 1, 0], and roll, {2, 5}, the best moves are {[4, 3, 7, 0, 0, 0]} For position , [4, 1, 8, 1, 1, 0], and roll, {2, 5}, the best moves are {[4, 2, 8, 0, 0, 0]} For position , [3, 1, 9, 1, 1, 0], and roll, {2, 5}, the best moves are {[3, 2, 9, 0, 0, 0]} For position , [8, 2, 3, 1, 1, 0], and roll, {2, 5}, the best moves are {[8, 3, 3, 0, 0, 0]} For position , [10, 1, 1, 1, 1, 1], and roll, {2, 5}, the best moves are {[10, 1, 1, 2, 0, 0]} For position , [8, 1, 3, 1, 1, 1], and roll, {2, 5}, the best moves are {[8, 1, 3, 2, 0, 0]} For position , [7, 1, 4, 1, 1, 1], and roll, {2, 5}, the best moves are {[7, 1, 4, 2, 0, 0]} For position , [6, 1, 5, 1, 1, 1], and roll, {2, 5}, the best moves are {[6, 1, 5, 2, 0, 0]} For position , [6, 1, 6, 0, 2, 0], and roll, {2, 5}, the best moves are {[6, 1, 7, 0, 0, 0]} For position , [3, 1, 7, 3, 1, 0], and roll, {2, 5}, the best moves are {[3, 2, 7, 2, 0, 0]} For position , [4, 1, 6, 3, 1, 0], and roll, {2, 5}, the best moves are {[4, 2, 6, 2, 0, 0]} When the roll was, {2, 5}, and there were, 15, checkers , the exceptions to greedy play were {[{2, 5}, [4, 1, 7, 2, 1, 0], [4, 2, 7, 1, 0, 0]], [{2, 5}, [10, 1, 2, 1, 1, 0], [10, 2, 2, 0, 0, 0]], [{2, 5}, [7, 1, 5, 1, 1, 0], [7, 2, 5, 0, 0, 0]], [{2, 5}, [6, 1, 5, 1, 1, 1], [6, 1, 5, 2, 0, 0]], [{2, 5}, [3, 1, 9, 0, 1, 1], [3, 1, 9, 1, 0, 0]], [{2, 5}, [9, 1, 0, 3, 2, 0], [9, 1, 1, 3, 0, 0]], [{2, 5}, [5, 1, 6, 2, 1, 0], [5, 2, 6, 1, 0, 0]], [{2, 5}, [6, 1, 6, 0, 2, 0], [6, 1, 7, 0, 0, 0]], [{2, 5}, [6, 1, 5, 2, 1, 0], [6, 2, 5, 1, 0, 0]], [{2, 5}, [8, 3, 2, 1, 1, 0], [8, 4, 2, 0, 0, 0]], [{2, 5}, [3, 1, 7, 3, 1, 0], [3, 2, 7, 2, 0, 0]], [{2, 5}, [11, 1, 1, 0, 2, 0], [11, 1, 2, 0, 0, 0]], [{2, 5}, [10, 1, 2, 0, 1, 1], [10, 1, 2, 1, 0, 0]], [{2, 5}, [6, 2, 0, 5, 2, 0], [6, 2, 1, 5, 0, 0]], [{2, 5}, [9, 1, 2, 1, 1, 1], [9, 1, 2, 2, 0, 0]], [{2, 5}, [5, 1, 6, 1, 1, 1], [5, 1, 6, 2, 0, 0]], [{2, 5}, [7, 1, 4, 0, 2, 1], [7, 1, 4, 1, 1, 0]], [{2, 5}, [4, 2, 0, 7, 2, 0], [4, 2, 1, 7, 0, 0]], [{2, 5}, [10, 1, 1, 1, 1, 1], [10, 1, 1, 2, 0, 0]], [{2, 5}, [2, 1, 7, 0, 4, 1], [2, 1, 7, 1, 3, 0]], [{2, 5}, [6, 1, 5, 0, 2, 1], [6, 1, 5, 1, 1, 0]], [{2, 5}, [3, 2, 5, 0, 4, 1], [3, 2, 5, 1, 3, 0]], [{2, 5}, [5, 1, 0, 7, 2, 0], [5, 1, 1, 7, 0, 0]], [{2, 5}, [2, 1, 9, 0, 1, 2], [2, 1, 9, 1, 0, 1]], [{2, 5}, [5, 1, 5, 0, 3, 1], [5, 1, 5, 1, 2, 0]], [{2, 5}, [8, 1, 4, 1, 1, 0], [8, 2, 4, 0, 0, 0]], [{2, 5}, [2, 1, 8, 0, 3, 1], [2, 1, 8, 1, 2, 0]], [{2, 5}, [3, 1, 6, 0, 4, 1], [3, 1, 6, 1, 3, 0]], [{2, 5}, [1, 1, 6, 0, 6, 1], [1, 1, 6, 1, 5, 0]], [{2, 5}, [4, 1, 4, 0, 5, 1], [4, 1, 4, 1, 4, 0]], [{2, 5}, [3, 2, 4, 0, 5, 1], [3, 2, 4, 1, 4, 0]], [{2, 5}, [3, 1, 5, 0, 5, 1], [3, 1, 5, 1, 4, 0]], [{2, 5}, [6, 1, 0, 6, 2, 0], [6, 1, 1, 6, 0, 0]], [{2, 5}, [2, 1, 6, 0, 5, 1], [2, 1, 6, 1, 4, 0]], [{2, 5}, [5, 1, 1, 0, 7, 1], [5, 1, 1, 1, 6, 0]], [{2, 5}, [4, 1, 5, 4, 1, 0], [4, 2, 5, 3, 0, 0]], [{2, 5}, [4, 1, 2, 0, 7, 1], [4, 1, 2, 1, 6, 0]], [{2, 5}, [3, 1, 3, 0, 7, 1], [3, 1, 3, 1, 6, 0]], [{2, 5}, [2, 1, 4, 0, 7, 1], [2, 1, 4, 1, 6, 0]], [{2, 5}, [8, 1, 3, 1, 1, 1], [8, 1, 3, 2, 0, 0]], [{2, 5}, [1, 1, 5, 0, 7, 1], [1, 1, 5, 1, 6, 0]], [{2, 5}, [2, 1, 5, 0, 6, 1], [2, 1, 5, 1, 5, 0]], [{2, 5}, [4, 1, 3, 0, 6, 1], [4, 1, 3, 1, 5, 0]], [{2, 5}, [7, 1, 5, 0, 2, 0], [7, 1, 6, 0, 0, 0]], [{2, 5}, [8, 1, 4, 0, 1, 1], [8, 1, 4, 1, 0, 0]], [{2, 5}, [6, 2, 5, 1, 1, 0], [6, 3, 5, 0, 0, 0]], [{2, 5}, [6, 1, 5, 0, 1, 2], [6, 1, 5, 1, 0, 1]], [{2, 5}, [3, 1, 4, 0, 6, 1], [3, 1, 4, 1, 5, 0]], [{2, 5}, [5, 1, 2, 0, 6, 1], [5, 1, 2, 1, 5, 0]], [{2, 5}, [3, 1, 1, 0, 9, 1], [3, 1, 1, 1, 8, 0]], [{2, 5}, [2, 1, 2, 0, 9, 1], [2, 1, 2, 1, 8, 0]], [{2, 5}, [2, 1, 3, 0, 8, 1], [2, 1, 3, 1, 7, 0]], [{2, 5}, [3, 1, 2, 0, 8, 1], [3, 1, 2, 1, 7, 0]], [{2, 5}, [4, 1, 1, 0, 8, 1], [4, 1, 1, 1, 7, 0]], [{2, 5}, [1, 1, 4, 0, 8, 1], [1, 1, 4, 1, 7, 0]], [{2, 5}, [6, 1, 6, 1, 1, 0], [6, 2, 6, 0, 0, 0]], [{2, 5}, [3, 1, 6, 0, 2, 3], [3, 1, 6, 1, 1, 2]], [{2, 5}, [5, 2, 6, 0, 1, 1], [5, 2, 6, 1, 0, 0]], [{2, 5}, [5, 2, 0, 6, 2, 0], [5, 2, 1, 6, 0, 0]], [{2, 5}, [7, 2, 4, 0, 1, 1], [7, 2, 4, 1, 0, 0]], [{2, 5}, [3, 1, 8, 2, 1, 0], [3, 2, 8, 1, 0, 0]], [{2, 5}, [6, 3, 4, 1, 1, 0], [6, 4, 4, 0, 0, 0]], [{2, 5}, [9, 1, 2, 2, 1, 0], [9, 2, 2, 1, 0, 0]], [{2, 5}, [6, 2, 5, 0, 1, 1], [6, 2, 5, 1, 0, 0]], [{2, 5}, [2, 1, 10, 1, 1, 0], [2, 2, 10, 0, 0, 0]], [{2, 5}, [5, 2, 6, 1, 1, 0], [5, 3, 6, 0, 0, 0]], [{2, 5}, [7, 1, 5, 0, 1, 1], [7, 1, 5, 1, 0, 0]], [{2, 5}, [6, 1, 6, 0, 1, 1], [6, 1, 6, 1, 0, 0]], [{2, 5}, [7, 1, 0, 5, 2, 0], [7, 1, 1, 5, 0, 0]], [{2, 5}, [10, 1, 2, 0, 2, 0], [10, 1, 3, 0, 0, 0]], [{2, 5}, [2, 1, 0, 10, 2, 0], [2, 1, 1, 10, 0, 0]], [{2, 5}, [4, 1, 8, 0, 1, 1], [4, 1, 8, 1, 0, 0]], [{2, 5}, [5, 1, 0, 5, 4, 0], [5, 1, 1, 5, 2, 0]], [{2, 5}, [4, 1, 6, 0, 2, 2], [4, 1, 6, 1, 1, 1]], [{2, 5}, [4, 1, 7, 0, 2, 1], [4, 1, 7, 1, 1, 0]], [{2, 5}, [3, 1, 8, 0, 2, 1], [3, 1, 8, 1, 1, 0]], [{2, 5}, [11, 1, 1, 0, 1, 1], [11, 1, 1, 1, 0, 0]], [{2, 5}, [2, 1, 9, 2, 1, 0], [2, 2, 9, 1, 0, 0]], [{2, 5}, [5, 1, 5, 3, 1, 0], [5, 2, 5, 2, 0, 0]], [{2, 5}, [6, 1, 4, 3, 1, 0], [6, 2, 4, 2, 0, 0]], [{2, 5}, [9, 1, 3, 1, 1, 0], [9, 2, 3, 0, 0, 0]], [{2, 5}, [7, 1, 4, 0, 1, 2], [7, 1, 4, 1, 0, 1]], [{2, 5}, [5, 1, 7, 0, 1, 1], [5, 1, 7, 1, 0, 0]], [{2, 5}, [7, 3, 3, 1, 1, 0], [7, 4, 3, 0, 0, 0]], [{2, 5}, [7, 2, 4, 0, 2, 0], [7, 2, 5, 0, 0, 0]], [{2, 5}, [6, 1, 0, 5, 3, 0], [6, 1, 1, 5, 1, 0]], [{2, 5}, [4, 1, 5, 0, 2, 3], [4, 1, 5, 1, 1, 2]], [{2, 5}, [4, 1, 0, 7, 3, 0], [4, 1, 1, 7, 1, 0]], [{2, 5}, [4, 1, 0, 8, 2, 0], [4, 1, 1, 8, 0, 0]], [{2, 5}, [9, 1, 3, 0, 1, 1], [9, 1, 3, 1, 0, 0]], [{2, 5}, [3, 2, 0, 8, 2, 0], [3, 2, 1, 8, 0, 0]], [{2, 5}, [5, 1, 6, 0, 2, 1], [5, 1, 6, 1, 1, 0]], [{2, 5}, [3, 1, 0, 9, 2, 0], [3, 1, 1, 9, 0, 0]], [{2, 5}, [4, 1, 8, 1, 1, 0], [4, 2, 8, 0, 0, 0]], [{2, 5}, [8, 2, 3, 1, 1, 0], [8, 3, 3, 0, 0, 0]], [{2, 5}, [3, 1, 9, 1, 1, 0], [3, 2, 9, 0, 0, 0]], [{2, 5}, [6, 1, 3, 0, 4, 1], [6, 1, 3, 1, 3, 0]], [{2, 5}, [7, 1, 2, 0, 4, 1], [7, 1, 2, 1, 3, 0]], [{2, 5}, [5, 1, 7, 1, 1, 0], [5, 2, 7, 0, 0, 0]], [{2, 5}, [4, 2, 7, 1, 1, 0], [4, 3, 7, 0, 0, 0]], [{2, 5}, [5, 1, 4, 0, 2, 3], [5, 1, 4, 1, 1, 2]], [{2, 5}, [5, 2, 3, 0, 4, 1], [5, 2, 3, 1, 3, 0]], [{2, 5}, [4, 1, 6, 3, 1, 0], [4, 2, 6, 2, 0, 0]], [{2, 5}, [7, 1, 4, 1, 1, 1], [7, 1, 4, 2, 0, 0]], [{2, 5}, [4, 2, 4, 0, 4, 1], [4, 2, 4, 1, 3, 0]], [{2, 5}, [5, 1, 4, 0, 4, 1], [5, 1, 4, 1, 3, 0]], [{2, 5}, [4, 1, 5, 0, 4, 1], [4, 1, 5, 1, 3, 0]], [{2, 5}, [8, 1, 2, 0, 3, 1], [8, 1, 2, 1, 2, 0]], [{2, 5}, [3, 1, 8, 0, 1, 2], [3, 1, 8, 1, 0, 1]], [{2, 5}, [7, 1, 3, 0, 3, 1], [7, 1, 3, 1, 2, 0]], [{2, 5}, [6, 1, 4, 0, 3, 1], [6, 1, 4, 1, 2, 0]], [{2, 5}, [4, 1, 7, 0, 1, 2], [4, 1, 7, 1, 0, 1]], [{2, 5}, [7, 1, 4, 2, 1, 0], [7, 2, 4, 1, 0, 0]], [{2, 5}, [4, 1, 6, 0, 3, 1], [4, 1, 6, 1, 2, 0]], [{2, 5}, [9, 1, 3, 0, 2, 0], [9, 1, 4, 0, 0, 0]], [{2, 5}, [3, 1, 7, 0, 3, 1], [3, 1, 7, 1, 2, 0]], [{2, 5}, [6, 1, 2, 0, 5, 1], [6, 1, 2, 1, 4, 0]], [{2, 5}, [5, 1, 0, 6, 3, 0], [5, 1, 1, 6, 1, 0]], [{2, 5}, [7, 1, 0, 4, 3, 0], [7, 1, 1, 4, 1, 0]], [{2, 5}, [3, 1, 6, 4, 1, 0], [3, 2, 6, 3, 0, 0]], [{2, 5}, [5, 1, 3, 0, 5, 1], [5, 1, 3, 1, 4, 0]], [{2, 5}, [6, 1, 1, 0, 6, 1], [6, 1, 1, 1, 5, 0]], [{2, 5}, [7, 2, 4, 1, 1, 0], [7, 3, 4, 0, 0, 0]], [{2, 5}, [5, 1, 6, 0, 1, 2], [5, 1, 6, 1, 0, 1]], [{2, 5}, [7, 2, 0, 4, 2, 0], [7, 2, 1, 4, 0, 0]], [{2, 5}, [8, 1, 0, 4, 2, 0], [8, 1, 1, 4, 0, 0]], [{2, 5}, [5, 1, 5, 0, 2, 2], [5, 1, 5, 1, 1, 1]], [{2, 5}, [8, 1, 4, 0, 2, 0], [8, 1, 5, 0, 0, 0]], [{2, 5}, [1, 1, 3, 0, 9, 1], [1, 1, 3, 1, 8, 0]], [{2, 5}, [5, 1, 7, 0, 2, 0], [5, 1, 8, 0, 0, 0]], [{2, 5}, [3, 2, 8, 1, 1, 0], [3, 3, 8, 0, 0, 0]]} For position , [10, 1, 2, 0, 1, 1], and roll, {2, 6}, the best moves are {[10, 1, 3, 0, 0, 0]} For position , [9, 1, 3, 0, 1, 1], and roll, {2, 6}, the best moves are {[9, 1, 4, 0, 0, 0]} For position , [7, 2, 4, 0, 1, 1], and roll, {2, 6}, the best moves are {[7, 2, 5, 0, 0, 0]} For position , [7, 1, 5, 0, 1, 1], and roll, {2, 6}, the best moves are {[7, 1, 6, 0, 0, 0]} For position , [6, 1, 6, 0, 1, 1], and roll, {2, 6}, the best moves are {[6, 1, 7, 0, 0, 0]} For position , [6, 2, 0, 5, 1, 1], and roll, {2, 6}, the best moves are {[6, 2, 1, 5, 0, 0]} For position , [7, 1, 0, 5, 1, 1], and roll, {2, 6}, the best moves are {[7, 1, 1, 5, 0, 0]} For position , [7, 2, 0, 4, 1, 1], and roll, {2, 6}, the best moves are {[7, 2, 1, 4, 0, 0]} For position , [8, 1, 0, 4, 1, 1], and roll, {2, 6}, the best moves are {[8, 1, 1, 4, 0, 0]} For position , [2, 1, 0, 10, 1, 1], and roll, {2, 6}, the best moves are {[2, 1, 1, 10, 0, 0]} For position , [3, 1, 0, 9, 1, 1], and roll, {2, 6}, the best moves are {[3, 1, 1, 9, 0, 0]} For position , [3, 2, 0, 8, 1, 1], and roll, {2, 6}, the best moves are {[3, 2, 1, 8, 0, 0]} For position , [4, 1, 0, 8, 1, 1], and roll, {2, 6}, the best moves are {[4, 1, 1, 8, 0, 0]} For position , [4, 2, 0, 7, 1, 1], and roll, {2, 6}, the best moves are {[4, 2, 1, 7, 0, 0]} For position , [5, 1, 0, 7, 1, 1], and roll, {2, 6}, the best moves are {[5, 1, 1, 7, 0, 0]} For position , [9, 1, 0, 3, 1, 1], and roll, {2, 6}, the best moves are {[9, 1, 1, 3, 0, 0]} For position , [6, 1, 0, 5, 2, 1], and roll, {2, 6}, the best moves are {[6, 1, 1, 5, 1, 0]} For position , [5, 2, 0, 6, 1, 1], and roll, {2, 6}, the best moves are {[5, 2, 1, 6, 0, 0]} For position , [6, 1, 0, 6, 1, 1], and roll, {2, 6}, the best moves are {[6, 1, 1, 6, 0, 0]} For position , [5, 1, 7, 0, 1, 1], and roll, {2, 6}, the best moves are {[5, 1, 8, 0, 0, 0]} For position , [8, 1, 4, 0, 1, 1], and roll, {2, 6}, the best moves are {[8, 1, 5, 0, 0, 0]} For position , [11, 1, 1, 0, 1, 1], and roll, {2, 6}, the best moves are {[11, 1, 2, 0, 0, 0]} For position , [5, 1, 0, 6, 2, 1], and roll, {2, 6}, the best moves are {[5, 1, 1, 6, 1, 0]} For position , [7, 1, 0, 4, 2, 1], and roll, {2, 6}, the best moves are {[7, 1, 1, 4, 1, 0]} For position , [5, 1, 0, 5, 3, 1], and roll, {2, 6}, the best moves are {[5, 1, 1, 5, 2, 0]} For position , [6, 1, 5, 1, 0, 2], and roll, {2, 6}, the best moves are {[6, 1, 5, 2, 0, 0]} For position , [7, 1, 4, 1, 0, 2], and roll, {2, 6}, the best moves are {[7, 1, 4, 2, 0, 0]} For position , [8, 1, 3, 1, 0, 2], and roll, {2, 6}, the best moves are {[8, 1, 3, 2, 0, 0]} For position , [10, 1, 1, 1, 0, 2], and roll, {2, 6}, the best moves are {[10, 1, 1, 2, 0, 0]} For position , [5, 2, 6, 0, 0, 2], and roll, {2, 6}, the best moves are {[5, 2, 6, 1, 0, 0]} For position , [10, 1, 2, 0, 0, 2], and roll, {2, 6}, the best moves are {[10, 1, 2, 1, 0, 0]} For position , [9, 1, 3, 0, 0, 2], and roll, {2, 6}, the best moves are {[9, 1, 3, 1, 0, 0]} For position , [7, 2, 4, 0, 0, 2], and roll, {2, 6}, the best moves are {[7, 2, 4, 1, 0, 0]} For position , [7, 1, 5, 0, 0, 2], and roll, {2, 6}, the best moves are {[7, 1, 5, 1, 0, 0]} For position , [6, 2, 5, 0, 0, 2], and roll, {2, 6}, the best moves are {[6, 2, 5, 1, 0, 0]} For position , [6, 1, 6, 0, 0, 2], and roll, {2, 6}, the best moves are {[6, 1, 6, 1, 0, 0]} For position , [4, 1, 8, 0, 0, 2], and roll, {2, 6}, the best moves are {[4, 1, 8, 1, 0, 0]} For position , [5, 1, 7, 0, 0, 2], and roll, {2, 6}, the best moves are {[5, 1, 7, 1, 0, 0]} For position , [3, 1, 9, 0, 0, 2], and roll, {2, 6}, the best moves are {[3, 1, 9, 1, 0, 0]} For position , [8, 1, 4, 0, 0, 2], and roll, {2, 6}, the best moves are {[8, 1, 4, 1, 0, 0]} For position , [11, 1, 1, 0, 0, 2], and roll, {2, 6}, the best moves are {[11, 1, 1, 1, 0, 0]} For position , [9, 1, 2, 1, 0, 2], and roll, {2, 6}, the best moves are {[9, 1, 2, 2, 0, 0]} For position , [5, 1, 6, 1, 0, 2], and roll, {2, 6}, the best moves are {[5, 1, 6, 2, 0, 0]} For position , [4, 1, 7, 0, 1, 2], and roll, {2, 6}, the best moves are {[4, 1, 7, 1, 1, 0]} For position , [3, 1, 8, 0, 1, 2], and roll, {2, 6}, the best moves are {[3, 1, 8, 1, 1, 0]} For position , [7, 1, 4, 0, 1, 2], and roll, {2, 6}, the best moves are {[7, 1, 4, 1, 1, 0]} For position , [6, 1, 5, 0, 1, 2], and roll, {2, 6}, the best moves are {[6, 1, 5, 1, 1, 0]} For position , [5, 1, 6, 0, 1, 2], and roll, {2, 6}, the best moves are {[5, 1, 6, 1, 1, 0]} For position , [8, 1, 2, 0, 2, 2], and roll, {2, 6}, the best moves are {[8, 1, 2, 1, 2, 0]} For position , [7, 1, 3, 0, 2, 2], and roll, {2, 6}, the best moves are {[7, 1, 3, 1, 2, 0]} For position , [6, 1, 4, 0, 2, 2], and roll, {2, 6}, the best moves are {[6, 1, 4, 1, 2, 0]} For position , [5, 1, 5, 0, 2, 2], and roll, {2, 6}, the best moves are {[5, 1, 5, 1, 2, 0]} For position , [4, 1, 6, 0, 2, 2], and roll, {2, 6}, the best moves are {[4, 1, 6, 1, 2, 0]} For position , [3, 1, 7, 0, 2, 2], and roll, {2, 6}, the best moves are {[3, 1, 7, 1, 2, 0]} For position , [2, 1, 8, 0, 2, 2], and roll, {2, 6}, the best moves are {[2, 1, 8, 1, 2, 0]} For position , [2, 1, 7, 0, 3, 2], and roll, {2, 6}, the best moves are {[2, 1, 7, 1, 3, 0]} For position , [7, 1, 2, 0, 3, 2], and roll, {2, 6}, the best moves are {[7, 1, 2, 1, 3, 0]} For position , [6, 1, 3, 0, 3, 2], and roll, {2, 6}, the best moves are {[6, 1, 3, 1, 3, 0]} For position , [5, 2, 3, 0, 3, 2], and roll, {2, 6}, the best moves are {[5, 2, 3, 1, 3, 0]} For position , [4, 1, 4, 0, 4, 2], and roll, {2, 6}, the best moves are {[4, 1, 4, 1, 4, 0]} For position , [3, 2, 4, 0, 4, 2], and roll, {2, 6}, the best moves are {[3, 2, 4, 1, 4, 0]} For position , [3, 1, 5, 0, 4, 2], and roll, {2, 6}, the best moves are {[3, 1, 5, 1, 4, 0]} For position , [2, 1, 6, 0, 4, 2], and roll, {2, 6}, the best moves are {[2, 1, 6, 1, 4, 0]} For position , [3, 1, 6, 0, 3, 2], and roll, {2, 6}, the best moves are {[3, 1, 6, 1, 3, 0]} For position , [6, 1, 2, 0, 4, 2], and roll, {2, 6}, the best moves are {[6, 1, 2, 1, 4, 0]} For position , [5, 1, 3, 0, 4, 2], and roll, {2, 6}, the best moves are {[5, 1, 3, 1, 4, 0]} For position , [1, 1, 6, 0, 5, 2], and roll, {2, 6}, the best moves are {[1, 1, 6, 1, 5, 0]} For position , [3, 1, 4, 0, 5, 2], and roll, {2, 6}, the best moves are {[3, 1, 4, 1, 5, 0]} For position , [5, 1, 4, 0, 3, 2], and roll, {2, 6}, the best moves are {[5, 1, 4, 1, 3, 0]} For position , [4, 2, 4, 0, 3, 2], and roll, {2, 6}, the best moves are {[4, 2, 4, 1, 3, 0]} For position , [4, 1, 5, 0, 3, 2], and roll, {2, 6}, the best moves are {[4, 1, 5, 1, 3, 0]} For position , [3, 2, 5, 0, 3, 2], and roll, {2, 6}, the best moves are {[3, 2, 5, 1, 3, 0]} For position , [4, 1, 2, 0, 6, 2], and roll, {2, 6}, the best moves are {[4, 1, 2, 1, 6, 0]} For position , [3, 1, 3, 0, 6, 2], and roll, {2, 6}, the best moves are {[3, 1, 3, 1, 6, 0]} For position , [2, 1, 4, 0, 6, 2], and roll, {2, 6}, the best moves are {[2, 1, 4, 1, 6, 0]} For position , [1, 1, 5, 0, 6, 2], and roll, {2, 6}, the best moves are {[1, 1, 5, 1, 6, 0]} For position , [2, 1, 5, 0, 5, 2], and roll, {2, 6}, the best moves are {[2, 1, 5, 1, 5, 0]} For position , [4, 1, 3, 0, 5, 2], and roll, {2, 6}, the best moves are {[4, 1, 3, 1, 5, 0]} For position , [6, 1, 1, 0, 5, 2], and roll, {2, 6}, the best moves are {[6, 1, 1, 1, 5, 0]} For position , [5, 1, 2, 0, 5, 2], and roll, {2, 6}, the best moves are {[5, 1, 2, 1, 5, 0]} For position , [5, 1, 1, 0, 6, 2], and roll, {2, 6}, the best moves are {[5, 1, 1, 1, 6, 0]} For position , [3, 1, 1, 0, 8, 2], and roll, {2, 6}, the best moves are {[3, 1, 1, 1, 8, 0]} For position , [2, 1, 2, 0, 8, 2], and roll, {2, 6}, the best moves are {[2, 1, 2, 1, 8, 0]} For position , [1, 1, 3, 0, 8, 2], and roll, {2, 6}, the best moves are {[1, 1, 3, 1, 8, 0]} For position , [4, 1, 1, 0, 7, 2], and roll, {2, 6}, the best moves are {[4, 1, 1, 1, 7, 0]} For position , [3, 1, 2, 0, 7, 2], and roll, {2, 6}, the best moves are {[3, 1, 2, 1, 7, 0]} For position , [2, 1, 3, 0, 7, 2], and roll, {2, 6}, the best moves are {[2, 1, 3, 1, 7, 0]} For position , [1, 1, 4, 0, 7, 2], and roll, {2, 6}, the best moves are {[1, 1, 4, 1, 7, 0]} For position , [6, 1, 5, 0, 0, 3], and roll, {2, 6}, the best moves are {[6, 1, 5, 1, 0, 1]} For position , [7, 1, 4, 0, 0, 3], and roll, {2, 6}, the best moves are {[7, 1, 4, 1, 0, 1]} For position , [4, 1, 6, 0, 1, 3], and roll, {2, 6}, the best moves are {[4, 1, 6, 1, 1, 1]} For position , [5, 1, 5, 0, 1, 3], and roll, {2, 6}, the best moves are {[5, 1, 5, 1, 1, 1]} For position , [5, 1, 6, 0, 0, 3], and roll, {2, 6}, the best moves are {[5, 1, 6, 1, 0, 1]} For position , [4, 1, 7, 0, 0, 3], and roll, {2, 6}, the best moves are {[4, 1, 7, 1, 0, 1]} For position , [5, 1, 4, 0, 1, 4], and roll, {2, 6}, the best moves are {[5, 1, 4, 1, 1, 2]} For position , [2, 1, 9, 0, 0, 3], and roll, {2, 6}, the best moves are {[2, 1, 9, 1, 0, 1]} For position , [3, 1, 8, 0, 0, 3], and roll, {2, 6}, the best moves are {[3, 1, 8, 1, 0, 1]} For position , [4, 1, 5, 0, 1, 4], and roll, {2, 6}, the best moves are {[4, 1, 5, 1, 1, 2]} For position , [3, 1, 6, 0, 1, 4], and roll, {2, 6}, the best moves are {[3, 1, 6, 1, 1, 2]} For position , [3, 1, 8, 2, 0, 1], and roll, {2, 6}, the best moves are {[3, 2, 8, 1, 0, 0]} For position , [2, 1, 9, 2, 0, 1], and roll, {2, 6}, the best moves are {[2, 2, 9, 1, 0, 0]} For position , [9, 1, 2, 2, 0, 1], and roll, {2, 6}, the best moves are {[9, 2, 2, 1, 0, 0]} For position , [4, 1, 0, 7, 2, 1], and roll, {2, 6}, the best moves are {[4, 1, 1, 7, 1, 0]} For position , [3, 1, 6, 4, 0, 1], and roll, {2, 6}, the best moves are {[3, 2, 6, 3, 0, 0]} For position , [4, 1, 5, 4, 0, 1], and roll, {2, 6}, the best moves are {[4, 2, 5, 3, 0, 0]} For position , [6, 3, 4, 1, 0, 1], and roll, {2, 6}, the best moves are {[6, 4, 4, 0, 0, 0]} For position , [7, 2, 4, 1, 0, 1], and roll, {2, 6}, the best moves are {[7, 3, 4, 0, 0, 0]} For position , [8, 1, 4, 1, 0, 1], and roll, {2, 6}, the best moves are {[8, 2, 4, 0, 0, 0]} For position , [2, 1, 10, 1, 0, 1], and roll, {2, 6}, the best moves are {[2, 2, 10, 0, 0, 0]} For position , [3, 1, 9, 1, 0, 1], and roll, {2, 6}, the best moves are {[3, 2, 9, 0, 0, 0]} For position , [4, 1, 8, 1, 0, 1], and roll, {2, 6}, the best moves are {[4, 2, 8, 0, 0, 0]} For position , [4, 2, 7, 1, 0, 1], and roll, {2, 6}, the best moves are {[4, 3, 7, 0, 0, 0]} For position , [5, 1, 7, 1, 0, 1], and roll, {2, 6}, the best moves are {[5, 2, 7, 0, 0, 0]} For position , [6, 1, 6, 1, 0, 1], and roll, {2, 6}, the best moves are {[6, 2, 6, 0, 0, 0]} For position , [6, 2, 5, 1, 0, 1], and roll, {2, 6}, the best moves are {[6, 3, 5, 0, 0, 0]} For position , [7, 1, 5, 1, 0, 1], and roll, {2, 6}, the best moves are {[7, 2, 5, 0, 0, 0]} For position , [7, 3, 3, 1, 0, 1], and roll, {2, 6}, the best moves are {[7, 4, 3, 0, 0, 0]} For position , [8, 2, 3, 1, 0, 1], and roll, {2, 6}, the best moves are {[8, 3, 3, 0, 0, 0]} For position , [9, 1, 3, 1, 0, 1], and roll, {2, 6}, the best moves are {[9, 2, 3, 0, 0, 0]} For position , [8, 3, 2, 1, 0, 1], and roll, {2, 6}, the best moves are {[8, 4, 2, 0, 0, 0]} For position , [10, 1, 2, 1, 0, 1], and roll, {2, 6}, the best moves are {[10, 2, 2, 0, 0, 0]} For position , [6, 1, 4, 3, 0, 1], and roll, {2, 6}, the best moves are {[6, 2, 4, 2, 0, 0]} For position , [5, 1, 5, 3, 0, 1], and roll, {2, 6}, the best moves are {[5, 2, 5, 2, 0, 0]} For position , [4, 1, 6, 3, 0, 1], and roll, {2, 6}, the best moves are {[4, 2, 6, 2, 0, 0]} For position , [3, 1, 7, 3, 0, 1], and roll, {2, 6}, the best moves are {[3, 2, 7, 2, 0, 0]} For position , [7, 1, 4, 2, 0, 1], and roll, {2, 6}, the best moves are {[7, 2, 4, 1, 0, 0]} For position , [6, 1, 5, 2, 0, 1], and roll, {2, 6}, the best moves are {[6, 2, 5, 1, 0, 0]} For position , [5, 1, 6, 2, 0, 1], and roll, {2, 6}, the best moves are {[5, 2, 6, 1, 0, 0]} For position , [5, 2, 6, 1, 0, 1], and roll, {2, 6}, the best moves are {[5, 3, 6, 0, 0, 0]} For position , [3, 2, 8, 1, 0, 1], and roll, {2, 6}, the best moves are {[3, 3, 8, 0, 0, 0]} For position , [4, 1, 7, 2, 0, 1], and roll, {2, 6}, the best moves are {[4, 2, 7, 1, 0, 0]} When the roll was, {2, 6}, and there were, 15, checkers , the exceptions to greedy play were {[{2, 6}, [8, 2, 3, 1, 0, 1], [8, 3, 3, 0, 0, 0]], [{2, 6}, [3, 1, 7, 3, 0, 1], [3, 2, 7, 2, 0, 0]], [{2, 6}, [3, 2, 4, 0, 4, 2], [3, 2, 4, 1, 4, 0]], [{2, 6}, [9, 1, 3, 1, 0, 1], [9, 2, 3, 0, 0, 0]], [{2, 6}, [7, 2, 4, 0, 1, 1], [7, 2, 5, 0, 0, 0]], [{2, 6}, [8, 3, 2, 1, 0, 1], [8, 4, 2, 0, 0, 0]], [{2, 6}, [7, 1, 5, 0, 0, 2], [7, 1, 5, 1, 0, 0]], [{2, 6}, [8, 1, 4, 0, 0, 2], [8, 1, 4, 1, 0, 0]], [{2, 6}, [7, 1, 0, 5, 1, 1], [7, 1, 1, 5, 0, 0]], [{2, 6}, [3, 1, 1, 0, 8, 2], [3, 1, 1, 1, 8, 0]], [{2, 6}, [10, 1, 2, 1, 0, 1], [10, 2, 2, 0, 0, 0]], [{2, 6}, [7, 1, 5, 1, 0, 1], [7, 2, 5, 0, 0, 0]], [{2, 6}, [11, 1, 1, 0, 0, 2], [11, 1, 1, 1, 0, 0]], [{2, 6}, [5, 1, 6, 2, 0, 1], [5, 2, 6, 1, 0, 0]], [{2, 6}, [10, 1, 2, 0, 1, 1], [10, 1, 3, 0, 0, 0]], [{2, 6}, [3, 2, 0, 8, 1, 1], [3, 2, 1, 8, 0, 0]], [{2, 6}, [9, 1, 3, 0, 1, 1], [9, 1, 4, 0, 0, 0]], [{2, 6}, [2, 1, 0, 10, 1, 1], [2, 1, 1, 10, 0, 0]], [{2, 6}, [4, 1, 0, 8, 1, 1], [4, 1, 1, 8, 0, 0]], [{2, 6}, [3, 1, 0, 9, 1, 1], [3, 1, 1, 9, 0, 0]], [{2, 6}, [6, 1, 6, 0, 1, 1], [6, 1, 7, 0, 0, 0]], [{2, 6}, [7, 1, 5, 0, 1, 1], [7, 1, 6, 0, 0, 0]], [{2, 6}, [9, 1, 2, 1, 0, 2], [9, 1, 2, 2, 0, 0]], [{2, 6}, [6, 2, 0, 5, 1, 1], [6, 2, 1, 5, 0, 0]], [{2, 6}, [8, 1, 0, 4, 1, 1], [8, 1, 1, 4, 0, 0]], [{2, 6}, [6, 1, 0, 5, 2, 1], [6, 1, 1, 5, 1, 0]], [{2, 6}, [7, 2, 0, 4, 1, 1], [7, 2, 1, 4, 0, 0]], [{2, 6}, [11, 1, 1, 0, 1, 1], [11, 1, 2, 0, 0, 0]], [{2, 6}, [4, 2, 0, 7, 1, 1], [4, 2, 1, 7, 0, 0]], [{2, 6}, [3, 1, 9, 0, 0, 2], [3, 1, 9, 1, 0, 0]], [{2, 6}, [6, 1, 5, 1, 0, 2], [6, 1, 5, 2, 0, 0]], [{2, 6}, [9, 1, 0, 3, 1, 1], [9, 1, 1, 3, 0, 0]], [{2, 6}, [5, 2, 6, 1, 0, 1], [5, 3, 6, 0, 0, 0]], [{2, 6}, [5, 1, 0, 7, 1, 1], [5, 1, 1, 7, 0, 0]], [{2, 6}, [5, 1, 0, 5, 3, 1], [5, 1, 1, 5, 2, 0]], [{2, 6}, [7, 1, 4, 1, 0, 2], [7, 1, 4, 2, 0, 0]], [{2, 6}, [10, 1, 1, 1, 0, 2], [10, 1, 1, 2, 0, 0]], [{2, 6}, [8, 1, 3, 1, 0, 2], [8, 1, 3, 2, 0, 0]], [{2, 6}, [5, 1, 7, 0, 1, 1], [5, 1, 8, 0, 0, 0]], [{2, 6}, [6, 1, 0, 6, 1, 1], [6, 1, 1, 6, 0, 0]], [{2, 6}, [6, 1, 4, 3, 0, 1], [6, 2, 4, 2, 0, 0]], [{2, 6}, [5, 2, 6, 0, 0, 2], [5, 2, 6, 1, 0, 0]], [{2, 6}, [5, 1, 0, 6, 2, 1], [5, 1, 1, 6, 1, 0]], [{2, 6}, [8, 1, 4, 0, 1, 1], [8, 1, 5, 0, 0, 0]], [{2, 6}, [9, 1, 3, 0, 0, 2], [9, 1, 3, 1, 0, 0]], [{2, 6}, [10, 1, 2, 0, 0, 2], [10, 1, 2, 1, 0, 0]], [{2, 6}, [7, 2, 4, 0, 0, 2], [7, 2, 4, 1, 0, 0]], [{2, 6}, [6, 2, 5, 0, 0, 2], [6, 2, 5, 1, 0, 0]], [{2, 6}, [6, 1, 6, 0, 0, 2], [6, 1, 6, 1, 0, 0]], [{2, 6}, [4, 1, 7, 0, 1, 2], [4, 1, 7, 1, 1, 0]], [{2, 6}, [5, 1, 7, 0, 0, 2], [5, 1, 7, 1, 0, 0]], [{2, 6}, [5, 1, 6, 1, 0, 2], [5, 1, 6, 2, 0, 0]], [{2, 6}, [3, 1, 8, 0, 1, 2], [3, 1, 8, 1, 1, 0]], [{2, 6}, [6, 1, 5, 0, 1, 2], [6, 1, 5, 1, 1, 0]], [{2, 6}, [7, 1, 4, 0, 1, 2], [7, 1, 4, 1, 1, 0]], [{2, 6}, [7, 1, 3, 0, 2, 2], [7, 1, 3, 1, 2, 0]], [{2, 6}, [5, 1, 6, 0, 1, 2], [5, 1, 6, 1, 1, 0]], [{2, 6}, [6, 1, 4, 0, 2, 2], [6, 1, 4, 1, 2, 0]], [{2, 6}, [8, 1, 2, 0, 2, 2], [8, 1, 2, 1, 2, 0]], [{2, 6}, [5, 1, 5, 0, 2, 2], [5, 1, 5, 1, 2, 0]], [{2, 6}, [3, 1, 7, 0, 2, 2], [3, 1, 7, 1, 2, 0]], [{2, 6}, [4, 1, 7, 2, 0, 1], [4, 2, 7, 1, 0, 0]], [{2, 6}, [2, 1, 8, 0, 2, 2], [2, 1, 8, 1, 2, 0]], [{2, 6}, [3, 2, 8, 1, 0, 1], [3, 3, 8, 0, 0, 0]], [{2, 6}, [2, 1, 7, 0, 3, 2], [2, 1, 7, 1, 3, 0]], [{2, 6}, [4, 1, 6, 0, 2, 2], [4, 1, 6, 1, 2, 0]], [{2, 6}, [4, 1, 4, 0, 4, 2], [4, 1, 4, 1, 4, 0]], [{2, 6}, [3, 1, 6, 0, 3, 2], [3, 1, 6, 1, 3, 0]], [{2, 6}, [2, 1, 6, 0, 4, 2], [2, 1, 6, 1, 4, 0]], [{2, 6}, [7, 1, 4, 2, 0, 1], [7, 2, 4, 1, 0, 0]], [{2, 6}, [6, 1, 5, 2, 0, 1], [6, 2, 5, 1, 0, 0]], [{2, 6}, [3, 1, 5, 0, 4, 2], [3, 1, 5, 1, 4, 0]], [{2, 6}, [5, 2, 0, 6, 1, 1], [5, 2, 1, 6, 0, 0]], [{2, 6}, [3, 1, 4, 0, 5, 2], [3, 1, 4, 1, 5, 0]], [{2, 6}, [1, 1, 6, 0, 5, 2], [1, 1, 6, 1, 5, 0]], [{2, 6}, [3, 2, 5, 0, 3, 2], [3, 2, 5, 1, 3, 0]], [{2, 6}, [1, 1, 5, 0, 6, 2], [1, 1, 5, 1, 6, 0]], [{2, 6}, [2, 1, 4, 0, 6, 2], [2, 1, 4, 1, 6, 0]], [{2, 6}, [7, 1, 2, 0, 3, 2], [7, 1, 2, 1, 3, 0]], [{2, 6}, [3, 1, 3, 0, 6, 2], [3, 1, 3, 1, 6, 0]], [{2, 6}, [4, 1, 2, 0, 6, 2], [4, 1, 2, 1, 6, 0]], [{2, 6}, [5, 1, 2, 0, 5, 2], [5, 1, 2, 1, 5, 0]], [{2, 6}, [6, 1, 1, 0, 5, 2], [6, 1, 1, 1, 5, 0]], [{2, 6}, [4, 1, 3, 0, 5, 2], [4, 1, 3, 1, 5, 0]], [{2, 6}, [2, 1, 5, 0, 5, 2], [2, 1, 5, 1, 5, 0]], [{2, 6}, [2, 1, 3, 0, 7, 2], [2, 1, 3, 1, 7, 0]], [{2, 6}, [3, 1, 2, 0, 7, 2], [3, 1, 2, 1, 7, 0]], [{2, 6}, [4, 1, 1, 0, 7, 2], [4, 1, 1, 1, 7, 0]], [{2, 6}, [2, 1, 2, 0, 8, 2], [2, 1, 2, 1, 8, 0]], [{2, 6}, [5, 1, 1, 0, 6, 2], [5, 1, 1, 1, 6, 0]], [{2, 6}, [1, 1, 4, 0, 7, 2], [1, 1, 4, 1, 7, 0]], [{2, 6}, [6, 1, 3, 0, 3, 2], [6, 1, 3, 1, 3, 0]], [{2, 6}, [5, 1, 6, 0, 0, 3], [5, 1, 6, 1, 0, 1]], [{2, 6}, [4, 1, 6, 0, 1, 3], [4, 1, 6, 1, 1, 1]], [{2, 6}, [4, 1, 5, 0, 1, 4], [4, 1, 5, 1, 1, 2]], [{2, 6}, [5, 2, 3, 0, 3, 2], [5, 2, 3, 1, 3, 0]], [{2, 6}, [3, 1, 8, 0, 0, 3], [3, 1, 8, 1, 0, 1]], [{2, 6}, [2, 1, 9, 0, 0, 3], [2, 1, 9, 1, 0, 1]], [{2, 6}, [5, 1, 4, 0, 1, 4], [5, 1, 4, 1, 1, 2]], [{2, 6}, [4, 1, 0, 7, 2, 1], [4, 1, 1, 7, 1, 0]], [{2, 6}, [9, 1, 2, 2, 0, 1], [9, 2, 2, 1, 0, 0]], [{2, 6}, [2, 1, 9, 2, 0, 1], [2, 2, 9, 1, 0, 0]], [{2, 6}, [3, 1, 8, 2, 0, 1], [3, 2, 8, 1, 0, 0]], [{2, 6}, [3, 1, 6, 0, 1, 4], [3, 1, 6, 1, 1, 2]], [{2, 6}, [5, 1, 3, 0, 4, 2], [5, 1, 3, 1, 4, 0]], [{2, 6}, [6, 3, 4, 1, 0, 1], [6, 4, 4, 0, 0, 0]], [{2, 6}, [6, 1, 2, 0, 4, 2], [6, 1, 2, 1, 4, 0]], [{2, 6}, [7, 3, 3, 1, 0, 1], [7, 4, 3, 0, 0, 0]], [{2, 6}, [4, 1, 8, 1, 0, 1], [4, 2, 8, 0, 0, 0]], [{2, 6}, [3, 1, 9, 1, 0, 1], [3, 2, 9, 0, 0, 0]], [{2, 6}, [2, 1, 10, 1, 0, 1], [2, 2, 10, 0, 0, 0]], [{2, 6}, [8, 1, 4, 1, 0, 1], [8, 2, 4, 0, 0, 0]], [{2, 6}, [7, 2, 4, 1, 0, 1], [7, 3, 4, 0, 0, 0]], [{2, 6}, [5, 1, 4, 0, 3, 2], [5, 1, 4, 1, 3, 0]], [{2, 6}, [4, 2, 4, 0, 3, 2], [4, 2, 4, 1, 3, 0]], [{2, 6}, [5, 1, 5, 3, 0, 1], [5, 2, 5, 2, 0, 0]], [{2, 6}, [4, 1, 5, 0, 3, 2], [4, 1, 5, 1, 3, 0]], [{2, 6}, [4, 1, 8, 0, 0, 2], [4, 1, 8, 1, 0, 0]], [{2, 6}, [6, 1, 5, 0, 0, 3], [6, 1, 5, 1, 0, 1]], [{2, 6}, [7, 1, 4, 0, 0, 3], [7, 1, 4, 1, 0, 1]], [{2, 6}, [5, 1, 5, 0, 1, 3], [5, 1, 5, 1, 1, 1]], [{2, 6}, [4, 1, 7, 0, 0, 3], [4, 1, 7, 1, 0, 1]], [{2, 6}, [1, 1, 3, 0, 8, 2], [1, 1, 3, 1, 8, 0]], [{2, 6}, [6, 2, 5, 1, 0, 1], [6, 3, 5, 0, 0, 0]], [{2, 6}, [3, 1, 6, 4, 0, 1], [3, 2, 6, 3, 0, 0]], [{2, 6}, [4, 1, 5, 4, 0, 1], [4, 2, 5, 3, 0, 0]], [{2, 6}, [4, 1, 6, 3, 0, 1], [4, 2, 6, 2, 0, 0]], [{2, 6}, [4, 2, 7, 1, 0, 1], [4, 3, 7, 0, 0, 0]], [{2, 6}, [7, 1, 0, 4, 2, 1], [7, 1, 1, 4, 1, 0]], [{2, 6}, [5, 1, 7, 1, 0, 1], [5, 2, 7, 0, 0, 0]], [{2, 6}, [6, 1, 6, 1, 0, 1], [6, 2, 6, 0, 0, 0]]} For position , [1, 0, 1, 12, 0, 1], and roll, {3, 4}, the best moves are {[1, 0, 2, 11, 0, 0]} For position , [1, 1, 1, 11, 0, 1], and roll, {3, 4}, the best moves are {[1, 1, 2, 10, 0, 0]} For position , [2, 0, 1, 11, 0, 1], and roll, {3, 4}, the best moves are {[2, 0, 2, 10, 0, 0]} For position , [1, 2, 1, 10, 0, 1], and roll, {3, 4}, the best moves are {[1, 2, 2, 9, 0, 0]} For position , [2, 1, 1, 10, 0, 1], and roll, {3, 4}, the best moves are {[2, 1, 2, 9, 0, 0]} For position , [3, 0, 1, 10, 0, 1], and roll, {3, 4}, the best moves are {[3, 0, 2, 9, 0, 0]} For position , [3, 4, 1, 5, 1, 1], and roll, {3, 4}, the best moves are {[3, 4, 2, 4, 1, 0]} For position , [4, 3, 1, 5, 1, 1], and roll, {3, 4}, the best moves are {[4, 3, 2, 4, 1, 0]} For position , [5, 2, 1, 5, 1, 1], and roll, {3, 4}, the best moves are {[5, 2, 2, 4, 1, 0]} For position , [3, 0, 9, 1, 1, 1], and roll, {3, 4}, the best moves are {[3, 1, 8, 1, 1, 0]} For position , [4, 0, 8, 1, 1, 1], and roll, {3, 4}, the best moves are {[4, 1, 7, 1, 1, 0]} For position , [5, 0, 7, 1, 1, 1], and roll, {3, 4}, the best moves are {[5, 1, 6, 1, 1, 0]} For position , [3, 0, 8, 1, 2, 1], and roll, {3, 4}, the best moves are {[3, 1, 7, 1, 2, 0]} For position , [2, 0, 9, 1, 2, 1], and roll, {3, 4}, the best moves are {[2, 1, 8, 1, 2, 0]} For position , [3, 2, 1, 7, 1, 1], and roll, {3, 4}, the best moves are {[3, 2, 2, 6, 1, 0]} For position , [3, 3, 1, 6, 1, 1], and roll, {3, 4}, the best moves are {[3, 3, 2, 5, 1, 0]} For position , [4, 2, 1, 6, 1, 1], and roll, {3, 4}, the best moves are {[4, 2, 2, 5, 1, 0]} For position , [7, 0, 4, 1, 2, 1], and roll, {3, 4}, the best moves are {[7, 1, 3, 1, 2, 0]} For position , [8, 0, 3, 1, 2, 1], and roll, {3, 4}, the best moves are {[8, 1, 2, 1, 2, 0]} For position , [6, 0, 5, 1, 2, 1], and roll, {3, 4}, the best moves are {[6, 1, 4, 1, 2, 0]} For position , [5, 0, 6, 1, 2, 1], and roll, {3, 4}, the best moves are {[5, 1, 5, 1, 2, 0]} For position , [4, 0, 7, 1, 2, 1], and roll, {3, 4}, the best moves are {[4, 1, 6, 1, 2, 0]} For position , [6, 0, 4, 1, 3, 1], and roll, {3, 4}, the best moves are {[6, 1, 3, 1, 3, 0]} For position , [5, 1, 4, 1, 3, 1], and roll, {3, 4}, the best moves are {[5, 2, 3, 1, 3, 0]} For position , [7, 0, 3, 1, 3, 1], and roll, {3, 4}, the best moves are {[7, 1, 2, 1, 3, 0]} For position , [5, 0, 5, 1, 3, 1], and roll, {3, 4}, the best moves are {[5, 1, 4, 1, 3, 0]} For position , [4, 1, 5, 1, 3, 1], and roll, {3, 4}, the best moves are {[4, 2, 4, 1, 3, 0]} For position , [4, 0, 6, 1, 3, 1], and roll, {3, 4}, the best moves are {[4, 1, 5, 1, 3, 0]} For position , [3, 1, 6, 1, 3, 1], and roll, {3, 4}, the best moves are {[3, 2, 5, 1, 3, 0]} For position , [3, 0, 7, 1, 3, 1], and roll, {3, 4}, the best moves are {[3, 1, 6, 1, 3, 0]} For position , [2, 0, 8, 1, 3, 1], and roll, {3, 4}, the best moves are {[2, 1, 7, 1, 3, 0]} For position , [6, 0, 3, 1, 4, 1], and roll, {3, 4}, the best moves are {[6, 1, 2, 1, 4, 0]} For position , [5, 0, 4, 1, 4, 1], and roll, {3, 4}, the best moves are {[5, 1, 3, 1, 4, 0]} For position , [4, 0, 5, 1, 4, 1], and roll, {3, 4}, the best moves are {[4, 1, 4, 1, 4, 0]} For position , [3, 1, 5, 1, 4, 1], and roll, {3, 4}, the best moves are {[3, 2, 4, 1, 4, 0]} For position , [3, 0, 6, 1, 4, 1], and roll, {3, 4}, the best moves are {[3, 1, 5, 1, 4, 0]} For position , [2, 0, 7, 1, 4, 1], and roll, {3, 4}, the best moves are {[2, 1, 6, 1, 4, 0]} For position , [5, 0, 2, 1, 6, 1], and roll, {3, 4}, the best moves are {[5, 1, 1, 1, 6, 0]} For position , [4, 0, 3, 1, 6, 1], and roll, {3, 4}, the best moves are {[4, 1, 2, 1, 6, 0]} For position , [3, 0, 4, 1, 6, 1], and roll, {3, 4}, the best moves are {[3, 1, 3, 1, 6, 0]} For position , [2, 0, 5, 1, 6, 1], and roll, {3, 4}, the best moves are {[2, 1, 4, 1, 6, 0]} For position , [1, 0, 6, 1, 6, 1], and roll, {3, 4}, the best moves are {[1, 1, 5, 1, 6, 0]} For position , [4, 0, 4, 1, 5, 1], and roll, {3, 4}, the best moves are {[4, 1, 3, 1, 5, 0]} For position , [3, 0, 5, 1, 5, 1], and roll, {3, 4}, the best moves are {[3, 1, 4, 1, 5, 0]} For position , [6, 0, 2, 1, 5, 1], and roll, {3, 4}, the best moves are {[6, 1, 1, 1, 5, 0]} For position , [5, 0, 3, 1, 5, 1], and roll, {3, 4}, the best moves are {[5, 1, 2, 1, 5, 0]} For position , [2, 0, 6, 1, 5, 1], and roll, {3, 4}, the best moves are {[2, 1, 5, 1, 5, 0]} For position , [1, 0, 7, 1, 5, 1], and roll, {3, 4}, the best moves are {[1, 1, 6, 1, 5, 0]} For position , [3, 0, 2, 1, 8, 1], and roll, {3, 4}, the best moves are {[3, 1, 1, 1, 8, 0]} For position , [2, 0, 3, 1, 8, 1], and roll, {3, 4}, the best moves are {[2, 1, 2, 1, 8, 0]} For position , [3, 0, 3, 1, 7, 1], and roll, {3, 4}, the best moves are {[3, 1, 2, 1, 7, 0]} For position , [2, 0, 4, 1, 7, 1], and roll, {3, 4}, the best moves are {[2, 1, 3, 1, 7, 0]} For position , [1, 0, 5, 1, 7, 1], and roll, {3, 4}, the best moves are {[1, 1, 4, 1, 7, 0]} For position , [1, 0, 4, 1, 8, 1], and roll, {3, 4}, the best moves are {[1, 1, 3, 1, 8, 0]} For position , [4, 0, 2, 1, 7, 1], and roll, {3, 4}, the best moves are {[4, 1, 1, 1, 7, 0]} For position , [6, 0, 6, 1, 0, 2], and roll, {3, 4}, the best moves are {[6, 1, 5, 1, 0, 1]} For position , [7, 0, 5, 1, 0, 2], and roll, {3, 4}, the best moves are {[7, 1, 4, 1, 0, 1]} For position , [3, 0, 9, 1, 0, 2], and roll, {3, 4}, the best moves are {[3, 1, 8, 1, 0, 1]} For position , [2, 1, 1, 9, 0, 2], and roll, {3, 4}, the best moves are {[2, 1, 2, 8, 0, 1]} For position , [3, 0, 1, 9, 0, 2], and roll, {3, 4}, the best moves are {[3, 0, 2, 8, 0, 1]} For position , [2, 2, 1, 8, 0, 2], and roll, {3, 4}, the best moves are {[2, 2, 2, 7, 0, 1]} For position , [3, 1, 1, 8, 0, 2], and roll, {3, 4}, the best moves are {[3, 1, 2, 7, 0, 1]} For position , [4, 0, 1, 8, 0, 2], and roll, {3, 4}, the best moves are {[4, 0, 2, 7, 0, 1]} For position , [2, 3, 1, 7, 0, 2], and roll, {3, 4}, the best moves are {[2, 3, 2, 6, 0, 1]} For position , [3, 2, 1, 7, 0, 2], and roll, {3, 4}, the best moves are {[3, 2, 2, 6, 0, 1]} For position , [4, 1, 1, 7, 0, 2], and roll, {3, 4}, the best moves are {[4, 1, 2, 6, 0, 1]} For position , [5, 0, 1, 7, 0, 2], and roll, {3, 4}, the best moves are {[5, 0, 2, 6, 0, 1]} For position , [3, 4, 1, 5, 0, 2], and roll, {3, 4}, the best moves are {[3, 4, 2, 4, 0, 1]} For position , [4, 3, 1, 5, 0, 2], and roll, {3, 4}, the best moves are {[4, 3, 2, 4, 0, 1]} For position , [5, 2, 1, 5, 0, 2], and roll, {3, 4}, the best moves are {[5, 2, 2, 4, 0, 1]} For position , [4, 0, 8, 1, 0, 2], and roll, {3, 4}, the best moves are {[4, 1, 7, 1, 0, 1]} For position , [5, 0, 7, 1, 0, 2], and roll, {3, 4}, the best moves are {[5, 1, 6, 1, 0, 1]} For position , [2, 0, 10, 1, 0, 2], and roll, {3, 4}, the best moves are {[2, 1, 9, 1, 0, 1]} For position , [1, 0, 1, 11, 0, 2], and roll, {3, 4}, the best moves are {[1, 0, 2, 10, 0, 1]} For position , [1, 1, 1, 10, 0, 2], and roll, {3, 4}, the best moves are {[1, 1, 2, 9, 0, 1]} For position , [2, 0, 1, 10, 0, 2], and roll, {3, 4}, the best moves are {[2, 0, 2, 9, 0, 1]} For position , [2, 4, 1, 6, 0, 2], and roll, {3, 4}, the best moves are {[2, 4, 2, 5, 0, 1]} For position , [3, 3, 1, 6, 0, 2], and roll, {3, 4}, the best moves are {[3, 3, 2, 5, 0, 1]} For position , [4, 2, 1, 6, 0, 2], and roll, {3, 4}, the best moves are {[4, 2, 2, 5, 0, 1]} For position , [5, 1, 1, 6, 0, 2], and roll, {3, 4}, the best moves are {[5, 1, 2, 5, 0, 1]} For position , [5, 0, 6, 1, 1, 2], and roll, {3, 4}, the best moves are {[5, 1, 5, 1, 1, 1]} For position , [4, 0, 7, 1, 1, 2], and roll, {3, 4}, the best moves are {[4, 1, 6, 1, 1, 1]} For position , [3, 1, 1, 7, 0, 3], and roll, {3, 4}, the best moves are {[3, 1, 2, 6, 0, 2]} For position , [2, 0, 1, 9, 0, 3], and roll, {3, 4}, the best moves are {[2, 0, 2, 8, 0, 2]} For position , [2, 1, 1, 8, 0, 3], and roll, {3, 4}, the best moves are {[2, 1, 2, 7, 0, 2]} For position , [3, 0, 1, 8, 0, 3], and roll, {3, 4}, the best moves are {[3, 0, 2, 7, 0, 2]} For position , [3, 0, 7, 1, 1, 3], and roll, {3, 4}, the best moves are {[3, 1, 6, 1, 1, 2]} For position , [4, 0, 6, 1, 1, 3], and roll, {3, 4}, the best moves are {[4, 1, 5, 1, 1, 2]} For position , [5, 0, 5, 1, 1, 3], and roll, {3, 4}, the best moves are {[5, 1, 4, 1, 1, 2]} For position , [7, 1, 1, 5, 1, 0], and roll, {3, 4}, the best moves are {[7, 2, 1, 4, 0, 0]} For position , [8, 0, 1, 5, 1, 0], and roll, {3, 4}, the best moves are {[8, 1, 1, 4, 0, 0]} For position , [5, 0, 1, 6, 3, 0], and roll, {3, 4}, the best moves are {[5, 1, 1, 5, 2, 0]} For position , [7, 0, 1, 5, 2, 0], and roll, {3, 4}, the best moves are {[7, 1, 1, 4, 1, 0]} For position , [9, 0, 1, 4, 1, 0], and roll, {3, 4}, the best moves are {[9, 1, 1, 3, 0, 0]} For position , [10, 0, 2, 2, 0, 1], and roll, {3, 4}, the best moves are {[10, 1, 1, 2, 0, 0]} For position , [9, 2, 1, 2, 0, 1], and roll, {3, 4}, the best moves are {[9, 2, 2, 1, 0, 0]} For position , [8, 3, 1, 2, 0, 1], and roll, {3, 4}, the best moves are {[8, 3, 2, 1, 0, 0]} For position , [7, 4, 1, 2, 0, 1], and roll, {3, 4}, the best moves are {[7, 4, 2, 1, 0, 0]} For position , [6, 5, 1, 2, 0, 1], and roll, {3, 4}, the best moves are {[6, 5, 2, 1, 0, 0]} For position , [5, 6, 1, 2, 0, 1], and roll, {3, 4}, the best moves are {[5, 6, 2, 1, 0, 0]} For position , [4, 7, 1, 2, 0, 1], and roll, {3, 4}, the best moves are {[4, 7, 2, 1, 0, 0]} For position , [9, 0, 4, 1, 1, 0], and roll, {3, 4}, the best moves are {[9, 1, 4, 0, 0, 0]} For position , [7, 1, 5, 1, 1, 0], and roll, {3, 4}, the best moves are {[7, 2, 5, 0, 0, 0]} For position , [6, 1, 1, 6, 1, 0], and roll, {3, 4}, the best moves are {[6, 2, 1, 5, 0, 0]} For position , [7, 0, 1, 6, 1, 0], and roll, {3, 4}, the best moves are {[7, 1, 1, 5, 0, 0]} For position , [6, 0, 1, 6, 2, 0], and roll, {3, 4}, the best moves are {[6, 1, 1, 5, 1, 0]} For position , [3, 6, 1, 4, 0, 1], and roll, {3, 4}, the best moves are {[3, 6, 2, 3, 0, 0]} For position , [4, 0, 1, 9, 0, 1], and roll, {3, 4}, the best moves are {[4, 0, 2, 8, 0, 0]} For position , [3, 1, 1, 9, 0, 1], and roll, {3, 4}, the best moves are {[3, 1, 2, 8, 0, 0]} For position , [2, 2, 1, 9, 0, 1], and roll, {3, 4}, the best moves are {[2, 2, 2, 8, 0, 0]} For position , [1, 3, 1, 9, 0, 1], and roll, {3, 4}, the best moves are {[1, 3, 2, 8, 0, 0]} For position , [5, 1, 1, 7, 1, 0], and roll, {3, 4}, the best moves are {[5, 2, 1, 6, 0, 0]} For position , [6, 0, 1, 7, 1, 0], and roll, {3, 4}, the best moves are {[6, 1, 1, 6, 0, 0]} For position , [4, 0, 1, 8, 2, 0], and roll, {3, 4}, the best moves are {[4, 1, 1, 7, 1, 0]} For position , [10, 0, 3, 1, 1, 0], and roll, {3, 4}, the best moves are {[10, 1, 3, 0, 0, 0]} For position , [9, 0, 4, 1, 0, 1], and roll, {3, 4}, the best moves are {[9, 1, 3, 1, 0, 0]} For position , [6, 0, 7, 1, 1, 0], and roll, {3, 4}, the best moves are {[6, 1, 7, 0, 0, 0]} For position , [7, 0, 6, 1, 1, 0], and roll, {3, 4}, the best moves are {[7, 1, 6, 0, 0, 0]} For position , [8, 0, 5, 1, 1, 0], and roll, {3, 4}, the best moves are {[8, 1, 5, 0, 0, 0]} For position , [11, 0, 2, 1, 1, 0], and roll, {3, 4}, the best moves are {[11, 1, 2, 0, 0, 0]} For position , [2, 0, 1, 11, 1, 0], and roll, {3, 4}, the best moves are {[2, 1, 1, 10, 0, 0]} For position , [4, 0, 9, 1, 0, 1], and roll, {3, 4}, the best moves are {[4, 1, 8, 1, 0, 0]} For position , [5, 0, 8, 1, 0, 1], and roll, {3, 4}, the best moves are {[5, 1, 7, 1, 0, 0]} For position , [5, 1, 7, 1, 0, 1], and roll, {3, 4}, the best moves are {[5, 2, 6, 1, 0, 0]} For position , [6, 1, 6, 1, 0, 1], and roll, {3, 4}, the best moves are {[6, 2, 5, 1, 0, 0]} For position , [7, 0, 6, 1, 0, 1], and roll, {3, 4}, the best moves are {[7, 1, 5, 1, 0, 0]} For position , [7, 1, 5, 1, 0, 1], and roll, {3, 4}, the best moves are {[7, 2, 4, 1, 0, 0]} For position , [5, 0, 1, 7, 2, 0], and roll, {3, 4}, the best moves are {[5, 1, 1, 6, 1, 0]} For position , [5, 0, 8, 1, 1, 0], and roll, {3, 4}, the best moves are {[5, 1, 8, 0, 0, 0]} For position , [3, 0, 1, 10, 1, 0], and roll, {3, 4}, the best moves are {[3, 1, 1, 9, 0, 0]} For position , [10, 0, 3, 1, 0, 1], and roll, {3, 4}, the best moves are {[10, 1, 2, 1, 0, 0]} For position , [11, 0, 2, 1, 0, 1], and roll, {3, 4}, the best moves are {[11, 1, 1, 1, 0, 0]} For position , [3, 1, 1, 9, 1, 0], and roll, {3, 4}, the best moves are {[3, 2, 1, 8, 0, 0]} For position , [4, 0, 1, 9, 1, 0], and roll, {3, 4}, the best moves are {[4, 1, 1, 8, 0, 0]} For position , [4, 1, 1, 8, 1, 0], and roll, {3, 4}, the best moves are {[4, 2, 1, 7, 0, 0]} For position , [5, 0, 1, 8, 1, 0], and roll, {3, 4}, the best moves are {[5, 1, 1, 7, 0, 0]} For position , [5, 0, 1, 8, 0, 1], and roll, {3, 4}, the best moves are {[5, 0, 2, 7, 0, 0]} For position , [4, 1, 1, 8, 0, 1], and roll, {3, 4}, the best moves are {[4, 1, 2, 7, 0, 0]} For position , [3, 2, 1, 8, 0, 1], and roll, {3, 4}, the best moves are {[3, 2, 2, 7, 0, 0]} For position , [2, 3, 1, 8, 0, 1], and roll, {3, 4}, the best moves are {[2, 3, 2, 7, 0, 0]} For position , [1, 4, 1, 8, 0, 1], and roll, {3, 4}, the best moves are {[1, 4, 2, 7, 0, 0]} For position , [7, 0, 5, 1, 1, 1], and roll, {3, 4}, the best moves are {[7, 1, 4, 1, 1, 0]} For position , [6, 0, 6, 1, 1, 1], and roll, {3, 4}, the best moves are {[6, 1, 5, 1, 1, 0]} For position , [8, 1, 1, 4, 0, 1], and roll, {3, 4}, the best moves are {[8, 1, 2, 3, 0, 0]} For position , [7, 2, 1, 4, 0, 1], and roll, {3, 4}, the best moves are {[7, 2, 2, 3, 0, 0]} For position , [9, 0, 3, 2, 0, 1], and roll, {3, 4}, the best moves are {[9, 1, 2, 2, 0, 0]} For position , [8, 0, 4, 2, 0, 1], and roll, {3, 4}, the best moves are {[8, 1, 3, 2, 0, 0]} For position , [7, 0, 5, 2, 0, 1], and roll, {3, 4}, the best moves are {[7, 1, 4, 2, 0, 0]} For position , [6, 0, 6, 2, 0, 1], and roll, {3, 4}, the best moves are {[6, 1, 5, 2, 0, 0]} For position , [7, 0, 1, 6, 0, 1], and roll, {3, 4}, the best moves are {[7, 0, 2, 5, 0, 0]} For position , [6, 1, 1, 6, 0, 1], and roll, {3, 4}, the best moves are {[6, 1, 2, 5, 0, 0]} For position , [5, 2, 1, 6, 0, 1], and roll, {3, 4}, the best moves are {[5, 2, 2, 5, 0, 0]} For position , [4, 3, 1, 6, 0, 1], and roll, {3, 4}, the best moves are {[4, 3, 2, 5, 0, 0]} For position , [3, 4, 1, 6, 0, 1], and roll, {3, 4}, the best moves are {[3, 4, 2, 5, 0, 0]} For position , [2, 5, 1, 6, 0, 1], and roll, {3, 4}, the best moves are {[2, 5, 2, 5, 0, 0]} For position , [9, 1, 1, 3, 0, 1], and roll, {3, 4}, the best moves are {[9, 1, 2, 2, 0, 0]} For position , [8, 2, 1, 3, 0, 1], and roll, {3, 4}, the best moves are {[8, 2, 2, 2, 0, 0]} For position , [7, 3, 1, 3, 0, 1], and roll, {3, 4}, the best moves are {[7, 3, 2, 2, 0, 0]} For position , [6, 4, 1, 3, 0, 1], and roll, {3, 4}, the best moves are {[6, 4, 2, 2, 0, 0]} For position , [5, 5, 1, 3, 0, 1], and roll, {3, 4}, the best moves are {[5, 5, 2, 2, 0, 0]} For position , [4, 6, 1, 3, 0, 1], and roll, {3, 4}, the best moves are {[4, 6, 2, 2, 0, 0]} For position , [3, 7, 1, 3, 0, 1], and roll, {3, 4}, the best moves are {[3, 7, 2, 2, 0, 0]} For position , [6, 3, 1, 4, 0, 1], and roll, {3, 4}, the best moves are {[6, 3, 2, 3, 0, 0]} For position , [5, 4, 1, 4, 0, 1], and roll, {3, 4}, the best moves are {[5, 4, 2, 3, 0, 0]} For position , [4, 5, 1, 4, 0, 1], and roll, {3, 4}, the best moves are {[4, 5, 2, 3, 0, 0]} For position , [4, 4, 1, 5, 0, 1], and roll, {3, 4}, the best moves are {[4, 4, 2, 4, 0, 0]} For position , [3, 5, 1, 5, 0, 1], and roll, {3, 4}, the best moves are {[3, 5, 2, 4, 0, 0]} For position , [2, 6, 1, 5, 0, 1], and roll, {3, 4}, the best moves are {[2, 6, 2, 4, 0, 0]} For position , [7, 1, 1, 5, 0, 1], and roll, {3, 4}, the best moves are {[7, 1, 2, 4, 0, 0]} For position , [6, 2, 1, 5, 0, 1], and roll, {3, 4}, the best moves are {[6, 2, 2, 4, 0, 0]} For position , [5, 3, 1, 5, 0, 1], and roll, {3, 4}, the best moves are {[5, 3, 2, 4, 0, 0]} For position , [5, 1, 1, 7, 0, 1], and roll, {3, 4}, the best moves are {[5, 1, 2, 6, 0, 0]} For position , [4, 2, 1, 7, 0, 1], and roll, {3, 4}, the best moves are {[4, 2, 2, 6, 0, 0]} For position , [3, 3, 1, 7, 0, 1], and roll, {3, 4}, the best moves are {[3, 3, 2, 6, 0, 0]} For position , [2, 4, 1, 7, 0, 1], and roll, {3, 4}, the best moves are {[2, 4, 2, 6, 0, 0]} For position , [6, 0, 1, 7, 0, 1], and roll, {3, 4}, the best moves are {[6, 0, 2, 6, 0, 0]} For position , [8, 0, 5, 1, 0, 1], and roll, {3, 4}, the best moves are {[8, 1, 4, 1, 0, 0]} For position , [6, 0, 7, 1, 0, 1], and roll, {3, 4}, the best moves are {[6, 1, 6, 1, 0, 0]} For position , [3, 0, 10, 1, 0, 1], and roll, {3, 4}, the best moves are {[3, 1, 9, 1, 0, 0]} For position , [5, 0, 7, 2, 0, 1], and roll, {3, 4}, the best moves are {[5, 1, 6, 2, 0, 0]} For position , [2, 7, 1, 4, 0, 1], and roll, {3, 4}, the best moves are {[2, 7, 2, 3, 0, 0]} When the roll was, {3, 4}, and there were, 15, checkers , the exceptions to greedy play were {[{3, 4}, [2, 0, 3, 1, 8, 1], [2, 1, 2, 1, 8, 0]], [{3, 4}, [6, 0, 7, 1, 0, 1], [6, 1, 6, 1, 0, 0]], [{3, 4}, [5, 0, 1, 7, 0, 2], [5, 0, 2, 6, 0, 1]], [{3, 4}, [5, 2, 1, 6, 0, 1], [5, 2, 2, 5, 0, 0]], [{3, 4}, [3, 1, 1, 9, 0, 1], [3, 1, 2, 8, 0, 0]], [{3, 4}, [5, 0, 5, 1, 1, 3], [5, 1, 4, 1, 1, 2]], [{3, 4}, [5, 0, 6, 1, 2, 1], [5, 1, 5, 1, 2, 0]], [{3, 4}, [3, 4, 1, 6, 0, 1], [3, 4, 2, 5, 0, 0]], [{3, 4}, [2, 0, 1, 10, 0, 2], [2, 0, 2, 9, 0, 1]], [{3, 4}, [2, 0, 10, 1, 0, 2], [2, 1, 9, 1, 0, 1]], [{3, 4}, [8, 2, 1, 3, 0, 1], [8, 2, 2, 2, 0, 0]], [{3, 4}, [9, 0, 4, 1, 1, 0], [9, 1, 4, 0, 0, 0]], [{3, 4}, [6, 0, 7, 1, 1, 0], [6, 1, 7, 0, 0, 0]], [{3, 4}, [4, 0, 5, 1, 4, 1], [4, 1, 4, 1, 4, 0]], [{3, 4}, [4, 1, 1, 8, 0, 1], [4, 1, 2, 7, 0, 0]], [{3, 4}, [4, 0, 7, 1, 2, 1], [4, 1, 6, 1, 2, 0]], [{3, 4}, [2, 0, 1, 9, 0, 3], [2, 0, 2, 8, 0, 2]], [{3, 4}, [4, 3, 1, 5, 0, 2], [4, 3, 2, 4, 0, 1]], [{3, 4}, [7, 1, 1, 5, 1, 0], [7, 2, 1, 4, 0, 0]], [{3, 4}, [3, 0, 8, 1, 2, 1], [3, 1, 7, 1, 2, 0]], [{3, 4}, [2, 2, 1, 9, 0, 1], [2, 2, 2, 8, 0, 0]], [{3, 4}, [7, 1, 5, 1, 1, 0], [7, 2, 5, 0, 0, 0]], [{3, 4}, [3, 3, 1, 7, 0, 1], [3, 3, 2, 6, 0, 0]], [{3, 4}, [7, 1, 5, 1, 0, 1], [7, 2, 4, 1, 0, 0]], [{3, 4}, [6, 0, 6, 1, 1, 1], [6, 1, 5, 1, 1, 0]], [{3, 4}, [6, 3, 1, 4, 0, 1], [6, 3, 2, 3, 0, 0]], [{3, 4}, [5, 4, 1, 4, 0, 1], [5, 4, 2, 3, 0, 0]], [{3, 4}, [2, 4, 1, 7, 0, 1], [2, 4, 2, 6, 0, 0]], [{3, 4}, [4, 5, 1, 4, 0, 1], [4, 5, 2, 3, 0, 0]], [{3, 4}, [7, 0, 5, 1, 0, 2], [7, 1, 4, 1, 0, 1]], [{3, 4}, [2, 4, 1, 6, 0, 2], [2, 4, 2, 5, 0, 1]], [{3, 4}, [3, 0, 7, 1, 1, 3], [3, 1, 6, 1, 1, 2]], [{3, 4}, [8, 0, 1, 5, 1, 0], [8, 1, 1, 4, 0, 0]], [{3, 4}, [6, 0, 4, 1, 3, 1], [6, 1, 3, 1, 3, 0]], [{3, 4}, [6, 0, 3, 1, 4, 1], [6, 1, 2, 1, 4, 0]], [{3, 4}, [3, 4, 1, 5, 1, 1], [3, 4, 2, 4, 1, 0]], [{3, 4}, [1, 3, 1, 9, 0, 1], [1, 3, 2, 8, 0, 0]], [{3, 4}, [2, 6, 1, 5, 0, 1], [2, 6, 2, 4, 0, 0]], [{3, 4}, [11, 0, 2, 1, 1, 0], [11, 1, 2, 0, 0, 0]], [{3, 4}, [3, 0, 9, 1, 0, 2], [3, 1, 8, 1, 0, 1]], [{3, 4}, [1, 4, 1, 8, 0, 1], [1, 4, 2, 7, 0, 0]], [{3, 4}, [4, 4, 1, 5, 0, 1], [4, 4, 2, 4, 0, 0]], [{3, 4}, [8, 0, 3, 1, 2, 1], [8, 1, 2, 1, 2, 0]], [{3, 4}, [8, 1, 1, 4, 0, 1], [8, 1, 2, 3, 0, 0]], [{3, 4}, [7, 1, 1, 5, 0, 1], [7, 1, 2, 4, 0, 0]], [{3, 4}, [5, 0, 1, 6, 3, 0], [5, 1, 1, 5, 2, 0]], [{3, 4}, [3, 3, 1, 6, 0, 2], [3, 3, 2, 5, 0, 1]], [{3, 4}, [3, 0, 10, 1, 0, 1], [3, 1, 9, 1, 0, 0]], [{3, 4}, [3, 3, 1, 6, 1, 1], [3, 3, 2, 5, 1, 0]], [{3, 4}, [5, 1, 4, 1, 3, 1], [5, 2, 3, 1, 3, 0]], [{3, 4}, [5, 0, 1, 7, 2, 0], [5, 1, 1, 6, 1, 0]], [{3, 4}, [2, 1, 1, 9, 0, 2], [2, 1, 2, 8, 0, 1]], [{3, 4}, [4, 3, 1, 5, 1, 1], [4, 3, 2, 4, 1, 0]], [{3, 4}, [4, 2, 1, 7, 0, 1], [4, 2, 2, 6, 0, 0]], [{3, 4}, [5, 2, 1, 5, 0, 2], [5, 2, 2, 4, 0, 1]], [{3, 4}, [5, 0, 8, 1, 1, 0], [5, 1, 8, 0, 0, 0]], [{3, 4}, [3, 0, 3, 1, 7, 1], [3, 1, 2, 1, 7, 0]], [{3, 4}, [7, 0, 3, 1, 3, 1], [7, 1, 2, 1, 3, 0]], [{3, 4}, [2, 1, 1, 8, 0, 3], [2, 1, 2, 7, 0, 2]], [{3, 4}, [7, 0, 1, 5, 2, 0], [7, 1, 1, 4, 1, 0]], [{3, 4}, [8, 3, 1, 2, 0, 1], [8, 3, 2, 1, 0, 0]], [{3, 4}, [6, 1, 1, 6, 1, 0], [6, 2, 1, 5, 0, 0]], [{3, 4}, [4, 0, 7, 1, 1, 2], [4, 1, 6, 1, 1, 1]], [{3, 4}, [5, 1, 1, 7, 1, 0], [5, 2, 1, 6, 0, 0]], [{3, 4}, [3, 1, 5, 1, 4, 1], [3, 2, 4, 1, 4, 0]], [{3, 4}, [3, 0, 1, 10, 1, 0], [3, 1, 1, 9, 0, 0]], [{3, 4}, [3, 6, 1, 4, 0, 1], [3, 6, 2, 3, 0, 0]], [{3, 4}, [4, 2, 1, 6, 0, 2], [4, 2, 2, 5, 0, 1]], [{3, 4}, [9, 0, 1, 4, 1, 0], [9, 1, 1, 3, 0, 0]], [{3, 4}, [5, 1, 7, 1, 0, 1], [5, 2, 6, 1, 0, 0]], [{3, 4}, [7, 2, 1, 4, 0, 1], [7, 2, 2, 3, 0, 0]], [{3, 4}, [5, 2, 1, 5, 1, 1], [5, 2, 2, 4, 1, 0]], [{3, 4}, [5, 0, 8, 1, 0, 1], [5, 1, 7, 1, 0, 0]], [{3, 4}, [5, 0, 5, 1, 3, 1], [5, 1, 4, 1, 3, 0]], [{3, 4}, [2, 5, 1, 6, 0, 1], [2, 5, 2, 5, 0, 0]], [{3, 4}, [4, 2, 1, 6, 1, 1], [4, 2, 2, 5, 1, 0]], [{3, 4}, [3, 4, 1, 5, 0, 2], [3, 4, 2, 4, 0, 1]], [{3, 4}, [1, 0, 1, 12, 0, 1], [1, 0, 2, 11, 0, 0]], [{3, 4}, [2, 0, 1, 11, 0, 1], [2, 0, 2, 10, 0, 0]], [{3, 4}, [2, 0, 1, 11, 1, 0], [2, 1, 1, 10, 0, 0]], [{3, 4}, [1, 2, 1, 10, 0, 1], [1, 2, 2, 9, 0, 0]], [{3, 4}, [7, 3, 1, 3, 0, 1], [7, 3, 2, 2, 0, 0]], [{3, 4}, [2, 1, 1, 10, 0, 1], [2, 1, 2, 9, 0, 0]], [{3, 4}, [3, 0, 1, 10, 0, 1], [3, 0, 2, 9, 0, 0]], [{3, 4}, [6, 0, 1, 7, 1, 0], [6, 1, 1, 6, 0, 0]], [{3, 4}, [10, 0, 3, 1, 0, 1], [10, 1, 2, 1, 0, 0]], [{3, 4}, [3, 0, 9, 1, 1, 1], [3, 1, 8, 1, 1, 0]], [{3, 4}, [5, 1, 1, 6, 0, 2], [5, 1, 2, 5, 0, 1]], [{3, 4}, [4, 0, 8, 1, 1, 1], [4, 1, 7, 1, 1, 0]], [{3, 4}, [2, 0, 9, 1, 2, 1], [2, 1, 8, 1, 2, 0]], [{3, 4}, [4, 0, 8, 1, 0, 2], [4, 1, 7, 1, 0, 1]], [{3, 4}, [1, 0, 1, 11, 0, 2], [1, 0, 2, 10, 0, 1]], [{3, 4}, [4, 1, 5, 1, 3, 1], [4, 2, 4, 1, 3, 0]], [{3, 4}, [3, 2, 1, 7, 1, 1], [3, 2, 2, 6, 1, 0]], [{3, 4}, [3, 7, 1, 3, 0, 1], [3, 7, 2, 2, 0, 0]], [{3, 4}, [5, 0, 7, 1, 0, 2], [5, 1, 6, 1, 0, 1]], [{3, 4}, [9, 0, 3, 2, 0, 1], [9, 1, 2, 2, 0, 0]], [{3, 4}, [5, 0, 7, 2, 0, 1], [5, 1, 6, 2, 0, 0]], [{3, 4}, [3, 1, 1, 8, 0, 2], [3, 1, 2, 7, 0, 1]], [{3, 4}, [7, 0, 1, 6, 0, 1], [7, 0, 2, 5, 0, 0]], [{3, 4}, [6, 1, 1, 6, 0, 1], [6, 1, 2, 5, 0, 0]], [{3, 4}, [7, 0, 6, 1, 1, 0], [7, 1, 6, 0, 0, 0]], [{3, 4}, [9, 2, 1, 2, 0, 1], [9, 2, 2, 1, 0, 0]], [{3, 4}, [11, 0, 2, 1, 0, 1], [11, 1, 1, 1, 0, 0]], [{3, 4}, [4, 0, 6, 1, 1, 3], [4, 1, 5, 1, 1, 2]], [{3, 4}, [3, 1, 6, 1, 3, 1], [3, 2, 5, 1, 3, 0]], [{3, 4}, [3, 2, 1, 8, 0, 1], [3, 2, 2, 7, 0, 0]], [{3, 4}, [3, 0, 7, 1, 3, 1], [3, 1, 6, 1, 3, 0]], [{3, 4}, [6, 1, 6, 1, 0, 1], [6, 2, 5, 1, 0, 0]], [{3, 4}, [1, 1, 1, 11, 0, 1], [1, 1, 2, 10, 0, 0]], [{3, 4}, [7, 0, 1, 6, 1, 0], [7, 1, 1, 5, 0, 0]], [{3, 4}, [2, 0, 8, 1, 3, 1], [2, 1, 7, 1, 3, 0]], [{3, 4}, [2, 0, 7, 1, 4, 1], [2, 1, 6, 1, 4, 0]], [{3, 4}, [6, 0, 1, 7, 0, 1], [6, 0, 2, 6, 0, 0]], [{3, 4}, [5, 0, 2, 1, 6, 1], [5, 1, 1, 1, 6, 0]], [{3, 4}, [3, 0, 4, 1, 6, 1], [3, 1, 3, 1, 6, 0]], [{3, 4}, [4, 0, 3, 1, 6, 1], [4, 1, 2, 1, 6, 0]], [{3, 4}, [1, 0, 6, 1, 6, 1], [1, 1, 5, 1, 6, 0]], [{3, 4}, [6, 2, 1, 5, 0, 1], [6, 2, 2, 4, 0, 0]], [{3, 4}, [2, 0, 5, 1, 6, 1], [2, 1, 4, 1, 6, 0]], [{3, 4}, [3, 0, 5, 1, 5, 1], [3, 1, 4, 1, 5, 0]], [{3, 4}, [4, 0, 4, 1, 5, 1], [4, 1, 3, 1, 5, 0]], [{3, 4}, [2, 0, 6, 1, 5, 1], [2, 1, 5, 1, 5, 0]], [{3, 4}, [5, 0, 4, 1, 4, 1], [5, 1, 3, 1, 4, 0]], [{3, 4}, [2, 3, 1, 7, 0, 2], [2, 3, 2, 6, 0, 1]], [{3, 4}, [5, 0, 3, 1, 5, 1], [5, 1, 2, 1, 5, 0]], [{3, 4}, [3, 0, 2, 1, 8, 1], [3, 1, 1, 1, 8, 0]], [{3, 4}, [1, 0, 7, 1, 5, 1], [1, 1, 6, 1, 5, 0]], [{3, 4}, [3, 0, 1, 8, 0, 3], [3, 0, 2, 7, 0, 2]], [{3, 4}, [2, 0, 4, 1, 7, 1], [2, 1, 3, 1, 7, 0]], [{3, 4}, [3, 0, 6, 1, 4, 1], [3, 1, 5, 1, 4, 0]], [{3, 4}, [6, 0, 6, 1, 0, 2], [6, 1, 5, 1, 0, 1]], [{3, 4}, [4, 0, 6, 1, 3, 1], [4, 1, 5, 1, 3, 0]], [{3, 4}, [4, 0, 2, 1, 7, 1], [4, 1, 1, 1, 7, 0]], [{3, 4}, [2, 2, 1, 8, 0, 2], [2, 2, 2, 7, 0, 1]], [{3, 4}, [7, 4, 1, 2, 0, 1], [7, 4, 2, 1, 0, 0]], [{3, 4}, [3, 0, 1, 9, 0, 2], [3, 0, 2, 8, 0, 1]], [{3, 4}, [5, 0, 1, 8, 0, 1], [5, 0, 2, 7, 0, 0]], [{3, 4}, [8, 0, 4, 2, 0, 1], [8, 1, 3, 2, 0, 0]], [{3, 4}, [7, 0, 4, 1, 2, 1], [7, 1, 3, 1, 2, 0]], [{3, 4}, [3, 1, 1, 9, 1, 0], [3, 2, 1, 8, 0, 0]], [{3, 4}, [4, 0, 1, 8, 2, 0], [4, 1, 1, 7, 1, 0]], [{3, 4}, [4, 7, 1, 2, 0, 1], [4, 7, 2, 1, 0, 0]], [{3, 4}, [3, 5, 1, 5, 0, 1], [3, 5, 2, 4, 0, 0]], [{3, 4}, [2, 7, 1, 4, 0, 1], [2, 7, 2, 3, 0, 0]], [{3, 4}, [4, 0, 1, 9, 0, 1], [4, 0, 2, 8, 0, 0]], [{3, 4}, [6, 4, 1, 3, 0, 1], [6, 4, 2, 2, 0, 0]], [{3, 4}, [3, 2, 1, 7, 0, 2], [3, 2, 2, 6, 0, 1]], [{3, 4}, [5, 3, 1, 5, 0, 1], [5, 3, 2, 4, 0, 0]], [{3, 4}, [10, 0, 3, 1, 1, 0], [10, 1, 3, 0, 0, 0]], [{3, 4}, [6, 0, 5, 1, 2, 1], [6, 1, 4, 1, 2, 0]], [{3, 4}, [9, 1, 1, 3, 0, 1], [9, 1, 2, 2, 0, 0]], [{3, 4}, [4, 0, 1, 9, 1, 0], [4, 1, 1, 8, 0, 0]], [{3, 4}, [5, 5, 1, 3, 0, 1], [5, 5, 2, 2, 0, 0]], [{3, 4}, [3, 1, 1, 7, 0, 3], [3, 1, 2, 6, 0, 2]], [{3, 4}, [1, 0, 5, 1, 7, 1], [1, 1, 4, 1, 7, 0]], [{3, 4}, [5, 0, 7, 1, 1, 1], [5, 1, 6, 1, 1, 0]], [{3, 4}, [7, 0, 5, 2, 0, 1], [7, 1, 4, 2, 0, 0]], [{3, 4}, [6, 0, 6, 2, 0, 1], [6, 1, 5, 2, 0, 0]], [{3, 4}, [4, 1, 1, 7, 0, 2], [4, 1, 2, 6, 0, 1]], [{3, 4}, [10, 0, 2, 2, 0, 1], [10, 1, 1, 2, 0, 0]], [{3, 4}, [2, 3, 1, 8, 0, 1], [2, 3, 2, 7, 0, 0]], [{3, 4}, [4, 0, 1, 8, 0, 2], [4, 0, 2, 7, 0, 1]], [{3, 4}, [6, 0, 2, 1, 5, 1], [6, 1, 1, 1, 5, 0]], [{3, 4}, [9, 0, 4, 1, 0, 1], [9, 1, 3, 1, 0, 0]], [{3, 4}, [5, 1, 1, 7, 0, 1], [5, 1, 2, 6, 0, 0]], [{3, 4}, [4, 6, 1, 3, 0, 1], [4, 6, 2, 2, 0, 0]], [{3, 4}, [4, 1, 1, 8, 1, 0], [4, 2, 1, 7, 0, 0]], [{3, 4}, [5, 0, 6, 1, 1, 2], [5, 1, 5, 1, 1, 1]], [{3, 4}, [6, 5, 1, 2, 0, 1], [6, 5, 2, 1, 0, 0]], [{3, 4}, [6, 0, 1, 6, 2, 0], [6, 1, 1, 5, 1, 0]], [{3, 4}, [7, 0, 6, 1, 0, 1], [7, 1, 5, 1, 0, 0]], [{3, 4}, [8, 0, 5, 1, 0, 1], [8, 1, 4, 1, 0, 0]], [{3, 4}, [5, 6, 1, 2, 0, 1], [5, 6, 2, 1, 0, 0]], [{3, 4}, [7, 0, 5, 1, 1, 1], [7, 1, 4, 1, 1, 0]], [{3, 4}, [1, 1, 1, 10, 0, 2], [1, 1, 2, 9, 0, 1]], [{3, 4}, [4, 3, 1, 6, 0, 1], [4, 3, 2, 5, 0, 0]], [{3, 4}, [8, 0, 5, 1, 1, 0], [8, 1, 5, 0, 0, 0]], [{3, 4}, [4, 0, 9, 1, 0, 1], [4, 1, 8, 1, 0, 0]], [{3, 4}, [1, 0, 4, 1, 8, 1], [1, 1, 3, 1, 8, 0]], [{3, 4}, [5, 0, 1, 8, 1, 0], [5, 1, 1, 7, 0, 0]]} For position , [11, 0, 2, 0, 2, 0], and roll, {3, 5}, the best moves are {[11, 1, 2, 0, 0, 0]} For position , [2, 5, 1, 5, 1, 1], and roll, {3, 5}, the best moves are {[2, 5, 2, 5, 0, 0]} For position , [3, 7, 1, 2, 1, 1], and roll, {3, 5}, the best moves are {[3, 7, 2, 2, 0, 0]} For position , [4, 6, 1, 2, 1, 1], and roll, {3, 5}, the best moves are {[4, 6, 2, 2, 0, 0]} For position , [6, 4, 1, 2, 1, 1], and roll, {3, 5}, the best moves are {[6, 4, 2, 2, 0, 0]} For position , [7, 3, 1, 2, 1, 1], and roll, {3, 5}, the best moves are {[7, 3, 2, 2, 0, 0]} For position , [9, 1, 1, 2, 1, 1], and roll, {3, 5}, the best moves are {[9, 1, 2, 2, 0, 0]} For position , [3, 4, 1, 5, 1, 1], and roll, {3, 5}, the best moves are {[3, 4, 2, 5, 0, 0]} For position , [4, 3, 1, 5, 1, 1], and roll, {3, 5}, the best moves are {[4, 3, 2, 5, 0, 0]} For position , [5, 2, 1, 5, 1, 1], and roll, {3, 5}, the best moves are {[5, 2, 2, 5, 0, 0]} For position , [6, 1, 1, 5, 1, 1], and roll, {3, 5}, the best moves are {[6, 1, 2, 5, 0, 0]} For position , [7, 0, 1, 5, 1, 1], and roll, {3, 5}, the best moves are {[7, 0, 2, 5, 0, 0]} For position , [5, 3, 1, 4, 1, 1], and roll, {3, 5}, the best moves are {[5, 3, 2, 4, 0, 0]} For position , [6, 2, 1, 4, 1, 1], and roll, {3, 5}, the best moves are {[6, 2, 2, 4, 0, 0]} For position , [7, 1, 1, 4, 1, 1], and roll, {3, 5}, the best moves are {[7, 1, 2, 4, 0, 0]} For position , [3, 5, 1, 4, 1, 1], and roll, {3, 5}, the best moves are {[3, 5, 2, 4, 0, 0]} For position , [4, 4, 1, 4, 1, 1], and roll, {3, 5}, the best moves are {[4, 4, 2, 4, 0, 0]} For position , [4, 5, 1, 3, 1, 1], and roll, {3, 5}, the best moves are {[4, 5, 2, 3, 0, 0]} For position , [5, 4, 1, 3, 1, 1], and roll, {3, 5}, the best moves are {[5, 4, 2, 3, 0, 0]} For position , [7, 2, 1, 3, 1, 1], and roll, {3, 5}, the best moves are {[7, 2, 2, 3, 0, 0]} For position , [8, 1, 1, 3, 1, 1], and roll, {3, 5}, the best moves are {[8, 1, 2, 3, 0, 0]} For position , [1, 0, 1, 11, 1, 1], and roll, {3, 5}, the best moves are {[1, 0, 2, 11, 0, 0]} For position , [1, 1, 1, 10, 1, 1], and roll, {3, 5}, the best moves are {[1, 1, 2, 10, 0, 0]} For position , [2, 0, 1, 10, 1, 1], and roll, {3, 5}, the best moves are {[2, 0, 2, 10, 0, 0]} For position , [1, 2, 1, 9, 1, 1], and roll, {3, 5}, the best moves are {[1, 2, 2, 9, 0, 0]} For position , [2, 1, 1, 9, 1, 1], and roll, {3, 5}, the best moves are {[2, 1, 2, 9, 0, 0]} For position , [3, 0, 1, 9, 1, 1], and roll, {3, 5}, the best moves are {[3, 0, 2, 9, 0, 0]} For position , [1, 3, 1, 8, 1, 1], and roll, {3, 5}, the best moves are {[1, 3, 2, 8, 0, 0]} For position , [2, 2, 1, 8, 1, 1], and roll, {3, 5}, the best moves are {[2, 2, 2, 8, 0, 0]} For position , [3, 1, 1, 8, 1, 1], and roll, {3, 5}, the best moves are {[3, 1, 2, 8, 0, 0]} For position , [4, 0, 1, 8, 1, 1], and roll, {3, 5}, the best moves are {[4, 0, 2, 8, 0, 0]} For position , [1, 4, 1, 7, 1, 1], and roll, {3, 5}, the best moves are {[1, 4, 2, 7, 0, 0]} For position , [2, 3, 1, 7, 1, 1], and roll, {3, 5}, the best moves are {[2, 3, 2, 7, 0, 0]} For position , [3, 6, 1, 3, 1, 1], and roll, {3, 5}, the best moves are {[3, 6, 2, 3, 0, 0]} For position , [4, 2, 1, 5, 2, 1], and roll, {3, 5}, the best moves are {[4, 2, 2, 5, 1, 0]} For position , [9, 2, 1, 1, 1, 1], and roll, {3, 5}, the best moves are {[9, 2, 2, 1, 0, 0]} For position , [6, 5, 1, 1, 1, 1], and roll, {3, 5}, the best moves are {[6, 5, 2, 1, 0, 0]} For position , [5, 5, 1, 2, 1, 1], and roll, {3, 5}, the best moves are {[5, 5, 2, 2, 0, 0]} For position , [8, 2, 1, 2, 1, 1], and roll, {3, 5}, the best moves are {[8, 2, 2, 2, 0, 0]} For position , [2, 7, 1, 3, 1, 1], and roll, {3, 5}, the best moves are {[2, 7, 2, 3, 0, 0]} For position , [6, 3, 1, 3, 1, 1], and roll, {3, 5}, the best moves are {[6, 3, 2, 3, 0, 0]} For position , [2, 6, 1, 4, 1, 1], and roll, {3, 5}, the best moves are {[2, 6, 2, 4, 0, 0]} For position , [3, 2, 1, 7, 1, 1], and roll, {3, 5}, the best moves are {[3, 2, 2, 7, 0, 0]} For position , [4, 1, 1, 7, 1, 1], and roll, {3, 5}, the best moves are {[4, 1, 2, 7, 0, 0]} For position , [5, 0, 1, 7, 1, 1], and roll, {3, 5}, the best moves are {[5, 0, 2, 7, 0, 0]} For position , [2, 4, 1, 6, 1, 1], and roll, {3, 5}, the best moves are {[2, 4, 2, 6, 0, 0]} For position , [3, 3, 1, 6, 1, 1], and roll, {3, 5}, the best moves are {[3, 3, 2, 6, 0, 0]} For position , [4, 2, 1, 6, 1, 1], and roll, {3, 5}, the best moves are {[4, 2, 2, 6, 0, 0]} For position , [5, 1, 1, 6, 1, 1], and roll, {3, 5}, the best moves are {[5, 1, 2, 6, 0, 0]} For position , [6, 0, 1, 6, 1, 1], and roll, {3, 5}, the best moves are {[6, 0, 2, 6, 0, 0]} For position , [3, 3, 1, 5, 2, 1], and roll, {3, 5}, the best moves are {[3, 3, 2, 5, 1, 0]} For position , [3, 2, 1, 6, 2, 1], and roll, {3, 5}, the best moves are {[3, 2, 2, 6, 1, 0]} For position , [5, 2, 1, 4, 2, 1], and roll, {3, 5}, the best moves are {[5, 2, 2, 4, 1, 0]} For position , [4, 3, 1, 4, 2, 1], and roll, {3, 5}, the best moves are {[4, 3, 2, 4, 1, 0]} For position , [3, 4, 1, 4, 2, 1], and roll, {3, 5}, the best moves are {[3, 4, 2, 4, 1, 0]} For position , [6, 0, 7, 0, 2, 0], and roll, {3, 5}, the best moves are {[6, 1, 7, 0, 0, 0]} For position , [10, 0, 3, 0, 2, 0], and roll, {3, 5}, the best moves are {[10, 1, 3, 0, 0, 0]} For position , [7, 0, 6, 0, 2, 0], and roll, {3, 5}, the best moves are {[7, 1, 6, 0, 0, 0]} For position , [5, 1, 1, 5, 1, 2], and roll, {3, 5}, the best moves are {[5, 1, 2, 5, 0, 1]} For position , [4, 2, 1, 5, 1, 2], and roll, {3, 5}, the best moves are {[4, 2, 2, 5, 0, 1]} For position , [3, 3, 1, 5, 1, 2], and roll, {3, 5}, the best moves are {[3, 3, 2, 5, 0, 1]} For position , [2, 4, 1, 5, 1, 2], and roll, {3, 5}, the best moves are {[2, 4, 2, 5, 0, 1]} For position , [2, 2, 1, 7, 1, 2], and roll, {3, 5}, the best moves are {[2, 2, 2, 7, 0, 1]} For position , [5, 2, 1, 4, 1, 2], and roll, {3, 5}, the best moves are {[5, 2, 2, 4, 0, 1]} For position , [4, 3, 1, 4, 1, 2], and roll, {3, 5}, the best moves are {[4, 3, 2, 4, 0, 1]} For position , [3, 4, 1, 4, 1, 2], and roll, {3, 5}, the best moves are {[3, 4, 2, 4, 0, 1]} For position , [1, 0, 1, 10, 1, 2], and roll, {3, 5}, the best moves are {[1, 0, 2, 10, 0, 1]} For position , [5, 0, 1, 6, 1, 2], and roll, {3, 5}, the best moves are {[5, 0, 2, 6, 0, 1]} For position , [4, 1, 1, 6, 1, 2], and roll, {3, 5}, the best moves are {[4, 1, 2, 6, 0, 1]} For position , [3, 2, 1, 6, 1, 2], and roll, {3, 5}, the best moves are {[3, 2, 2, 6, 0, 1]} For position , [2, 3, 1, 6, 1, 2], and roll, {3, 5}, the best moves are {[2, 3, 2, 6, 0, 1]} For position , [4, 0, 1, 7, 1, 2], and roll, {3, 5}, the best moves are {[4, 0, 2, 7, 0, 1]} For position , [3, 1, 1, 7, 1, 2], and roll, {3, 5}, the best moves are {[3, 1, 2, 7, 0, 1]} For position , [3, 0, 1, 8, 1, 2], and roll, {3, 5}, the best moves are {[3, 0, 2, 8, 0, 1]} For position , [2, 1, 1, 8, 1, 2], and roll, {3, 5}, the best moves are {[2, 1, 2, 8, 0, 1]} For position , [2, 0, 1, 9, 1, 2], and roll, {3, 5}, the best moves are {[2, 0, 2, 9, 0, 1]} For position , [1, 1, 1, 9, 1, 2], and roll, {3, 5}, the best moves are {[1, 1, 2, 9, 0, 1]} For position , [8, 0, 5, 0, 2, 0], and roll, {3, 5}, the best moves are {[8, 1, 5, 0, 0, 0]} For position , [3, 1, 1, 6, 1, 3], and roll, {3, 5}, the best moves are {[3, 1, 2, 6, 0, 2]} For position , [3, 0, 1, 7, 1, 3], and roll, {3, 5}, the best moves are {[3, 0, 2, 7, 0, 2]} For position , [2, 1, 1, 7, 1, 3], and roll, {3, 5}, the best moves are {[2, 1, 2, 7, 0, 2]} For position , [2, 0, 1, 8, 1, 3], and roll, {3, 5}, the best moves are {[2, 0, 2, 8, 0, 2]} For position , [7, 1, 1, 4, 2, 0], and roll, {3, 5}, the best moves are {[7, 2, 1, 4, 0, 0]} For position , [5, 0, 1, 6, 3, 0], and roll, {3, 5}, the best moves are {[5, 1, 1, 6, 1, 0]} For position , [4, 0, 1, 7, 3, 0], and roll, {3, 5}, the best moves are {[4, 1, 1, 7, 1, 0]} For position , [6, 1, 1, 5, 2, 0], and roll, {3, 5}, the best moves are {[6, 2, 1, 5, 0, 0]} For position , [7, 0, 1, 5, 2, 0], and roll, {3, 5}, the best moves are {[7, 1, 1, 5, 0, 0]} For position , [5, 0, 1, 5, 4, 0], and roll, {3, 5}, the best moves are {[5, 1, 1, 5, 2, 0]} For position , [3, 0, 1, 9, 2, 0], and roll, {3, 5}, the best moves are {[3, 1, 1, 9, 0, 0]} For position , [2, 0, 1, 10, 2, 0], and roll, {3, 5}, the best moves are {[2, 1, 1, 10, 0, 0]} For position , [9, 0, 1, 3, 2, 0], and roll, {3, 5}, the best moves are {[9, 1, 1, 3, 0, 0]} For position , [6, 0, 1, 5, 3, 0], and roll, {3, 5}, the best moves are {[6, 1, 1, 5, 1, 0]} For position , [6, 0, 1, 6, 2, 0], and roll, {3, 5}, the best moves are {[6, 1, 1, 6, 0, 0]} For position , [3, 1, 1, 8, 2, 0], and roll, {3, 5}, the best moves are {[3, 2, 1, 8, 0, 0]} For position , [4, 0, 1, 8, 2, 0], and roll, {3, 5}, the best moves are {[4, 1, 1, 8, 0, 0]} For position , [5, 1, 1, 6, 2, 0], and roll, {3, 5}, the best moves are {[5, 2, 1, 6, 0, 0]} For position , [8, 0, 1, 4, 2, 0], and roll, {3, 5}, the best moves are {[8, 1, 1, 4, 0, 0]} For position , [7, 0, 1, 4, 3, 0], and roll, {3, 5}, the best moves are {[7, 1, 1, 4, 1, 0]} For position , [9, 0, 4, 0, 2, 0], and roll, {3, 5}, the best moves are {[9, 1, 4, 0, 0, 0]} For position , [7, 1, 5, 0, 2, 0], and roll, {3, 5}, the best moves are {[7, 2, 5, 0, 0, 0]} For position , [5, 0, 8, 0, 2, 0], and roll, {3, 5}, the best moves are {[5, 1, 8, 0, 0, 0]} For position , [4, 1, 1, 7, 2, 0], and roll, {3, 5}, the best moves are {[4, 2, 1, 7, 0, 0]} For position , [5, 0, 1, 7, 2, 0], and roll, {3, 5}, the best moves are {[5, 1, 1, 7, 0, 0]} For position , [8, 3, 1, 1, 1, 1], and roll, {3, 5}, the best moves are {[8, 3, 2, 1, 0, 0]} For position , [7, 4, 1, 1, 1, 1], and roll, {3, 5}, the best moves are {[7, 4, 2, 1, 0, 0]} For position , [5, 6, 1, 1, 1, 1], and roll, {3, 5}, the best moves are {[5, 6, 2, 1, 0, 0]} For position , [4, 7, 1, 1, 1, 1], and roll, {3, 5}, the best moves are {[4, 7, 2, 1, 0, 0]} When the roll was, {3, 5}, and there were, 15, checkers , the exceptions to greedy play were {[{3, 5}, [6, 1, 1, 5, 2, 0], [6, 2, 1, 5, 0, 0]], [{3, 5}, [3, 1, 1, 7, 1, 2], [3, 1, 2, 7, 0, 1]], [{3, 5}, [3, 1, 1, 8, 1, 1], [3, 1, 2, 8, 0, 0]], [{3, 5}, [3, 2, 1, 6, 2, 1], [3, 2, 2, 6, 1, 0]], [{3, 5}, [5, 0, 1, 6, 3, 0], [5, 1, 1, 6, 1, 0]], [{3, 5}, [4, 0, 1, 8, 1, 1], [4, 0, 2, 8, 0, 0]], [{3, 5}, [1, 4, 1, 7, 1, 1], [1, 4, 2, 7, 0, 0]], [{3, 5}, [2, 3, 1, 7, 1, 1], [2, 3, 2, 7, 0, 0]], [{3, 5}, [2, 1, 1, 8, 1, 2], [2, 1, 2, 8, 0, 1]], [{3, 5}, [2, 5, 1, 5, 1, 1], [2, 5, 2, 5, 0, 0]], [{3, 5}, [11, 0, 2, 0, 2, 0], [11, 1, 2, 0, 0, 0]], [{3, 5}, [3, 7, 1, 2, 1, 1], [3, 7, 2, 2, 0, 0]], [{3, 5}, [4, 6, 1, 2, 1, 1], [4, 6, 2, 2, 0, 0]], [{3, 5}, [6, 4, 1, 2, 1, 1], [6, 4, 2, 2, 0, 0]], [{3, 5}, [5, 2, 1, 4, 2, 1], [5, 2, 2, 4, 1, 0]], [{3, 5}, [7, 3, 1, 2, 1, 1], [7, 3, 2, 2, 0, 0]], [{3, 5}, [9, 1, 1, 2, 1, 1], [9, 1, 2, 2, 0, 0]], [{3, 5}, [4, 3, 1, 5, 1, 1], [4, 3, 2, 5, 0, 0]], [{3, 5}, [3, 4, 1, 5, 1, 1], [3, 4, 2, 5, 0, 0]], [{3, 5}, [5, 2, 1, 5, 1, 1], [5, 2, 2, 5, 0, 0]], [{3, 5}, [6, 1, 1, 5, 1, 1], [6, 1, 2, 5, 0, 0]], [{3, 5}, [7, 1, 1, 4, 2, 0], [7, 2, 1, 4, 0, 0]], [{3, 5}, [7, 0, 1, 5, 1, 1], [7, 0, 2, 5, 0, 0]], [{3, 5}, [6, 2, 1, 4, 1, 1], [6, 2, 2, 4, 0, 0]], [{3, 5}, [5, 3, 1, 4, 1, 1], [5, 3, 2, 4, 0, 0]], [{3, 5}, [3, 5, 1, 4, 1, 1], [3, 5, 2, 4, 0, 0]], [{3, 5}, [9, 2, 1, 1, 1, 1], [9, 2, 2, 1, 0, 0]], [{3, 5}, [7, 1, 1, 4, 1, 1], [7, 1, 2, 4, 0, 0]], [{3, 5}, [4, 4, 1, 4, 1, 1], [4, 4, 2, 4, 0, 0]], [{3, 5}, [1, 0, 1, 11, 1, 1], [1, 0, 2, 11, 0, 0]], [{3, 5}, [4, 5, 1, 3, 1, 1], [4, 5, 2, 3, 0, 0]], [{3, 5}, [2, 0, 1, 10, 1, 1], [2, 0, 2, 10, 0, 0]], [{3, 5}, [5, 4, 1, 3, 1, 1], [5, 4, 2, 3, 0, 0]], [{3, 5}, [1, 1, 1, 10, 1, 1], [1, 1, 2, 10, 0, 0]], [{3, 5}, [1, 2, 1, 9, 1, 1], [1, 2, 2, 9, 0, 0]], [{3, 5}, [3, 0, 1, 9, 1, 1], [3, 0, 2, 9, 0, 0]], [{3, 5}, [2, 1, 1, 9, 1, 1], [2, 1, 2, 9, 0, 0]], [{3, 5}, [7, 2, 1, 3, 1, 1], [7, 2, 2, 3, 0, 0]], [{3, 5}, [1, 3, 1, 8, 1, 1], [1, 3, 2, 8, 0, 0]], [{3, 5}, [8, 1, 1, 3, 1, 1], [8, 1, 2, 3, 0, 0]], [{3, 5}, [2, 2, 1, 8, 1, 1], [2, 2, 2, 8, 0, 0]], [{3, 5}, [4, 2, 1, 5, 2, 1], [4, 2, 2, 5, 1, 0]], [{3, 5}, [6, 5, 1, 1, 1, 1], [6, 5, 2, 1, 0, 0]], [{3, 5}, [5, 5, 1, 2, 1, 1], [5, 5, 2, 2, 0, 0]], [{3, 5}, [8, 2, 1, 2, 1, 1], [8, 2, 2, 2, 0, 0]], [{3, 5}, [2, 7, 1, 3, 1, 1], [2, 7, 2, 3, 0, 0]], [{3, 5}, [6, 3, 1, 3, 1, 1], [6, 3, 2, 3, 0, 0]], [{3, 5}, [4, 1, 1, 7, 1, 1], [4, 1, 2, 7, 0, 0]], [{3, 5}, [4, 3, 1, 4, 2, 1], [4, 3, 2, 4, 1, 0]], [{3, 5}, [5, 0, 1, 7, 1, 1], [5, 0, 2, 7, 0, 0]], [{3, 5}, [2, 4, 1, 6, 1, 1], [2, 4, 2, 6, 0, 0]], [{3, 5}, [10, 0, 3, 0, 2, 0], [10, 1, 3, 0, 0, 0]], [{3, 5}, [3, 3, 1, 6, 1, 1], [3, 3, 2, 6, 0, 0]], [{3, 5}, [6, 0, 7, 0, 2, 0], [6, 1, 7, 0, 0, 0]], [{3, 5}, [7, 0, 6, 0, 2, 0], [7, 1, 6, 0, 0, 0]], [{3, 5}, [5, 1, 1, 6, 1, 1], [5, 1, 2, 6, 0, 0]], [{3, 5}, [4, 2, 1, 6, 1, 1], [4, 2, 2, 6, 0, 0]], [{3, 5}, [3, 3, 1, 5, 1, 2], [3, 3, 2, 5, 0, 1]], [{3, 5}, [2, 2, 1, 7, 1, 2], [2, 2, 2, 7, 0, 1]], [{3, 5}, [6, 0, 1, 6, 1, 1], [6, 0, 2, 6, 0, 0]], [{3, 5}, [2, 4, 1, 5, 1, 2], [2, 4, 2, 5, 0, 1]], [{3, 5}, [3, 3, 1, 5, 2, 1], [3, 3, 2, 5, 1, 0]], [{3, 5}, [1, 0, 1, 10, 1, 2], [1, 0, 2, 10, 0, 1]], [{3, 5}, [5, 0, 1, 6, 1, 2], [5, 0, 2, 6, 0, 1]], [{3, 5}, [2, 1, 1, 7, 1, 3], [2, 1, 2, 7, 0, 2]], [{3, 5}, [4, 1, 1, 6, 1, 2], [4, 1, 2, 6, 0, 1]], [{3, 5}, [2, 3, 1, 6, 1, 2], [2, 3, 2, 6, 0, 1]], [{3, 5}, [3, 2, 1, 6, 1, 2], [3, 2, 2, 6, 0, 1]], [{3, 5}, [4, 0, 1, 7, 1, 2], [4, 0, 2, 7, 0, 1]], [{3, 5}, [3, 0, 1, 8, 1, 2], [3, 0, 2, 8, 0, 1]], [{3, 5}, [3, 4, 1, 4, 2, 1], [3, 4, 2, 4, 1, 0]], [{3, 5}, [8, 0, 5, 0, 2, 0], [8, 1, 5, 0, 0, 0]], [{3, 5}, [1, 1, 1, 9, 1, 2], [1, 1, 2, 9, 0, 1]], [{3, 5}, [2, 0, 1, 9, 1, 2], [2, 0, 2, 9, 0, 1]], [{3, 5}, [3, 0, 1, 7, 1, 3], [3, 0, 2, 7, 0, 2]], [{3, 5}, [3, 1, 1, 6, 1, 3], [3, 1, 2, 6, 0, 2]], [{3, 5}, [5, 1, 1, 5, 1, 2], [5, 1, 2, 5, 0, 1]], [{3, 5}, [2, 0, 1, 8, 1, 3], [2, 0, 2, 8, 0, 2]], [{3, 5}, [3, 0, 1, 9, 2, 0], [3, 1, 1, 9, 0, 0]], [{3, 5}, [5, 0, 1, 5, 4, 0], [5, 1, 1, 5, 2, 0]], [{3, 5}, [4, 0, 1, 7, 3, 0], [4, 1, 1, 7, 1, 0]], [{3, 5}, [5, 1, 1, 6, 2, 0], [5, 2, 1, 6, 0, 0]], [{3, 5}, [4, 0, 1, 8, 2, 0], [4, 1, 1, 8, 0, 0]], [{3, 5}, [3, 1, 1, 8, 2, 0], [3, 2, 1, 8, 0, 0]], [{3, 5}, [6, 0, 1, 5, 3, 0], [6, 1, 1, 5, 1, 0]], [{3, 5}, [9, 0, 1, 3, 2, 0], [9, 1, 1, 3, 0, 0]], [{3, 5}, [2, 0, 1, 10, 2, 0], [2, 1, 1, 10, 0, 0]], [{3, 5}, [9, 0, 4, 0, 2, 0], [9, 1, 4, 0, 0, 0]], [{3, 5}, [7, 0, 1, 4, 3, 0], [7, 1, 1, 4, 1, 0]], [{3, 5}, [5, 0, 8, 0, 2, 0], [5, 1, 8, 0, 0, 0]], [{3, 5}, [7, 1, 5, 0, 2, 0], [7, 2, 5, 0, 0, 0]], [{3, 5}, [8, 3, 1, 1, 1, 1], [8, 3, 2, 1, 0, 0]], [{3, 5}, [4, 2, 1, 5, 1, 2], [4, 2, 2, 5, 0, 1]], [{3, 5}, [5, 2, 1, 4, 1, 2], [5, 2, 2, 4, 0, 1]], [{3, 5}, [4, 3, 1, 4, 1, 2], [4, 3, 2, 4, 0, 1]], [{3, 5}, [3, 4, 1, 4, 1, 2], [3, 4, 2, 4, 0, 1]], [{3, 5}, [7, 0, 1, 5, 2, 0], [7, 1, 1, 5, 0, 0]], [{3, 5}, [2, 6, 1, 4, 1, 1], [2, 6, 2, 4, 0, 0]], [{3, 5}, [3, 6, 1, 3, 1, 1], [3, 6, 2, 3, 0, 0]], [{3, 5}, [6, 0, 1, 6, 2, 0], [6, 1, 1, 6, 0, 0]], [{3, 5}, [8, 0, 1, 4, 2, 0], [8, 1, 1, 4, 0, 0]], [{3, 5}, [4, 1, 1, 7, 2, 0], [4, 2, 1, 7, 0, 0]], [{3, 5}, [5, 0, 1, 7, 2, 0], [5, 1, 1, 7, 0, 0]], [{3, 5}, [7, 4, 1, 1, 1, 1], [7, 4, 2, 1, 0, 0]], [{3, 5}, [5, 6, 1, 1, 1, 1], [5, 6, 2, 1, 0, 0]], [{3, 5}, [3, 2, 1, 7, 1, 1], [3, 2, 2, 7, 0, 0]], [{3, 5}, [4, 7, 1, 1, 1, 1], [4, 7, 2, 1, 0, 0]]} For position , [8, 0, 5, 0, 1, 1], and roll, {3, 6}, the best moves are {[8, 1, 5, 0, 0, 0]} For position , [9, 0, 4, 0, 1, 1], and roll, {3, 6}, the best moves are {[9, 1, 4, 0, 0, 0]} For position , [7, 1, 5, 0, 1, 1], and roll, {3, 6}, the best moves are {[7, 2, 5, 0, 0, 0]} For position , [5, 0, 8, 0, 1, 1], and roll, {3, 6}, the best moves are {[5, 1, 8, 0, 0, 0]} For position , [6, 1, 1, 5, 1, 1], and roll, {3, 6}, the best moves are {[6, 2, 1, 5, 0, 0]} For position , [7, 0, 1, 5, 1, 1], and roll, {3, 6}, the best moves are {[7, 1, 1, 5, 0, 0]} For position , [7, 1, 1, 4, 1, 1], and roll, {3, 6}, the best moves are {[7, 2, 1, 4, 0, 0]} For position , [6, 0, 7, 0, 1, 1], and roll, {3, 6}, the best moves are {[6, 1, 7, 0, 0, 0]} For position , [2, 0, 1, 10, 1, 1], and roll, {3, 6}, the best moves are {[2, 1, 1, 10, 0, 0]} For position , [3, 0, 1, 9, 1, 1], and roll, {3, 6}, the best moves are {[3, 1, 1, 9, 0, 0]} For position , [3, 1, 1, 8, 1, 1], and roll, {3, 6}, the best moves are {[3, 2, 1, 8, 0, 0]} For position , [4, 0, 1, 8, 1, 1], and roll, {3, 6}, the best moves are {[4, 1, 1, 8, 0, 0]} For position , [6, 0, 1, 5, 2, 1], and roll, {3, 6}, the best moves are {[6, 1, 1, 5, 1, 0]} For position , [9, 0, 1, 3, 1, 1], and roll, {3, 6}, the best moves are {[9, 1, 1, 3, 0, 0]} For position , [8, 0, 1, 4, 1, 1], and roll, {3, 6}, the best moves are {[8, 1, 1, 4, 0, 0]} For position , [4, 1, 1, 7, 1, 1], and roll, {3, 6}, the best moves are {[4, 2, 1, 7, 0, 0]} For position , [5, 0, 1, 7, 1, 1], and roll, {3, 6}, the best moves are {[5, 1, 1, 7, 0, 0]} For position , [5, 1, 1, 6, 1, 1], and roll, {3, 6}, the best moves are {[5, 2, 1, 6, 0, 0]} For position , [6, 0, 1, 6, 1, 1], and roll, {3, 6}, the best moves are {[6, 1, 1, 6, 0, 0]} For position , [10, 0, 3, 0, 1, 1], and roll, {3, 6}, the best moves are {[10, 1, 3, 0, 0, 0]} For position , [7, 0, 6, 0, 1, 1], and roll, {3, 6}, the best moves are {[7, 1, 6, 0, 0, 0]} For position , [11, 0, 2, 0, 1, 1], and roll, {3, 6}, the best moves are {[11, 1, 2, 0, 0, 0]} For position , [4, 0, 1, 7, 2, 1], and roll, {3, 6}, the best moves are {[4, 1, 1, 7, 1, 0]} For position , [5, 0, 1, 6, 2, 1], and roll, {3, 6}, the best moves are {[5, 1, 1, 6, 1, 0]} For position , [7, 0, 1, 4, 2, 1], and roll, {3, 6}, the best moves are {[7, 1, 1, 4, 1, 0]} For position , [5, 0, 1, 5, 3, 1], and roll, {3, 6}, the best moves are {[5, 1, 1, 5, 2, 0]} For position , [5, 4, 1, 3, 0, 2], and roll, {3, 6}, the best moves are {[5, 4, 2, 3, 0, 0]} For position , [7, 2, 1, 3, 0, 2], and roll, {3, 6}, the best moves are {[7, 2, 2, 3, 0, 0]} For position , [8, 1, 1, 3, 0, 2], and roll, {3, 6}, the best moves are {[8, 1, 2, 3, 0, 0]} For position , [3, 6, 1, 3, 0, 2], and roll, {3, 6}, the best moves are {[3, 6, 2, 3, 0, 0]} For position , [3, 7, 1, 2, 0, 2], and roll, {3, 6}, the best moves are {[3, 7, 2, 2, 0, 0]} For position , [4, 6, 1, 2, 0, 2], and roll, {3, 6}, the best moves are {[4, 6, 2, 2, 0, 0]} For position , [6, 4, 1, 2, 0, 2], and roll, {3, 6}, the best moves are {[6, 4, 2, 2, 0, 0]} For position , [7, 3, 1, 2, 0, 2], and roll, {3, 6}, the best moves are {[7, 3, 2, 2, 0, 0]} For position , [9, 1, 1, 2, 0, 2], and roll, {3, 6}, the best moves are {[9, 1, 2, 2, 0, 0]} For position , [4, 7, 1, 1, 0, 2], and roll, {3, 6}, the best moves are {[4, 7, 2, 1, 0, 0]} For position , [5, 6, 1, 1, 0, 2], and roll, {3, 6}, the best moves are {[5, 6, 2, 1, 0, 0]} For position , [7, 4, 1, 1, 0, 2], and roll, {3, 6}, the best moves are {[7, 4, 2, 1, 0, 0]} For position , [8, 3, 1, 1, 0, 2], and roll, {3, 6}, the best moves are {[8, 3, 2, 1, 0, 0]} For position , [1, 2, 1, 9, 0, 2], and roll, {3, 6}, the best moves are {[1, 2, 2, 9, 0, 0]} For position , [2, 1, 1, 9, 0, 2], and roll, {3, 6}, the best moves are {[2, 1, 2, 9, 0, 0]} For position , [3, 0, 1, 9, 0, 2], and roll, {3, 6}, the best moves are {[3, 0, 2, 9, 0, 0]} For position , [1, 3, 1, 8, 0, 2], and roll, {3, 6}, the best moves are {[1, 3, 2, 8, 0, 0]} For position , [2, 2, 1, 8, 0, 2], and roll, {3, 6}, the best moves are {[2, 2, 2, 8, 0, 0]} For position , [3, 1, 1, 8, 0, 2], and roll, {3, 6}, the best moves are {[3, 1, 2, 8, 0, 0]} For position , [4, 0, 1, 8, 0, 2], and roll, {3, 6}, the best moves are {[4, 0, 2, 8, 0, 0]} For position , [1, 4, 1, 7, 0, 2], and roll, {3, 6}, the best moves are {[1, 4, 2, 7, 0, 0]} For position , [2, 3, 1, 7, 0, 2], and roll, {3, 6}, the best moves are {[2, 3, 2, 7, 0, 0]} For position , [3, 2, 1, 7, 0, 2], and roll, {3, 6}, the best moves are {[3, 2, 2, 7, 0, 0]} For position , [4, 1, 1, 7, 0, 2], and roll, {3, 6}, the best moves are {[4, 1, 2, 7, 0, 0]} For position , [5, 0, 1, 7, 0, 2], and roll, {3, 6}, the best moves are {[5, 0, 2, 7, 0, 0]} For position , [2, 5, 1, 5, 0, 2], and roll, {3, 6}, the best moves are {[2, 5, 2, 5, 0, 0]} For position , [3, 4, 1, 5, 0, 2], and roll, {3, 6}, the best moves are {[3, 4, 2, 5, 0, 0]} For position , [4, 3, 1, 5, 0, 2], and roll, {3, 6}, the best moves are {[4, 3, 2, 5, 0, 0]} For position , [5, 2, 1, 5, 0, 2], and roll, {3, 6}, the best moves are {[5, 2, 2, 5, 0, 0]} For position , [6, 1, 1, 5, 0, 2], and roll, {3, 6}, the best moves are {[6, 1, 2, 5, 0, 0]} For position , [7, 0, 1, 5, 0, 2], and roll, {3, 6}, the best moves are {[7, 0, 2, 5, 0, 0]} For position , [5, 3, 1, 4, 0, 2], and roll, {3, 6}, the best moves are {[5, 3, 2, 4, 0, 0]} For position , [6, 2, 1, 4, 0, 2], and roll, {3, 6}, the best moves are {[6, 2, 2, 4, 0, 0]} For position , [7, 1, 1, 4, 0, 2], and roll, {3, 6}, the best moves are {[7, 1, 2, 4, 0, 0]} For position , [3, 5, 1, 4, 0, 2], and roll, {3, 6}, the best moves are {[3, 5, 2, 4, 0, 0]} For position , [4, 4, 1, 4, 0, 2], and roll, {3, 6}, the best moves are {[4, 4, 2, 4, 0, 0]} For position , [4, 5, 1, 3, 0, 2], and roll, {3, 6}, the best moves are {[4, 5, 2, 3, 0, 0]} For position , [9, 2, 1, 1, 0, 2], and roll, {3, 6}, the best moves are {[9, 2, 2, 1, 0, 0]} For position , [6, 5, 1, 1, 0, 2], and roll, {3, 6}, the best moves are {[6, 5, 2, 1, 0, 0]} For position , [5, 5, 1, 2, 0, 2], and roll, {3, 6}, the best moves are {[5, 5, 2, 2, 0, 0]} For position , [8, 2, 1, 2, 0, 2], and roll, {3, 6}, the best moves are {[8, 2, 2, 2, 0, 0]} For position , [2, 7, 1, 3, 0, 2], and roll, {3, 6}, the best moves are {[2, 7, 2, 3, 0, 0]} For position , [6, 3, 1, 3, 0, 2], and roll, {3, 6}, the best moves are {[6, 3, 2, 3, 0, 0]} For position , [2, 6, 1, 4, 0, 2], and roll, {3, 6}, the best moves are {[2, 6, 2, 4, 0, 0]} For position , [1, 0, 1, 11, 0, 2], and roll, {3, 6}, the best moves are {[1, 0, 2, 11, 0, 0]} For position , [1, 1, 1, 10, 0, 2], and roll, {3, 6}, the best moves are {[1, 1, 2, 10, 0, 0]} For position , [2, 0, 1, 10, 0, 2], and roll, {3, 6}, the best moves are {[2, 0, 2, 10, 0, 0]} For position , [4, 2, 1, 5, 1, 2], and roll, {3, 6}, the best moves are {[4, 2, 2, 5, 1, 0]} For position , [3, 3, 1, 5, 1, 2], and roll, {3, 6}, the best moves are {[3, 3, 2, 5, 1, 0]} For position , [2, 4, 1, 6, 0, 2], and roll, {3, 6}, the best moves are {[2, 4, 2, 6, 0, 0]} For position , [3, 3, 1, 6, 0, 2], and roll, {3, 6}, the best moves are {[3, 3, 2, 6, 0, 0]} For position , [4, 2, 1, 6, 0, 2], and roll, {3, 6}, the best moves are {[4, 2, 2, 6, 0, 0]} For position , [5, 1, 1, 6, 0, 2], and roll, {3, 6}, the best moves are {[5, 1, 2, 6, 0, 0]} For position , [6, 0, 1, 6, 0, 2], and roll, {3, 6}, the best moves are {[6, 0, 2, 6, 0, 0]} For position , [5, 2, 1, 4, 1, 2], and roll, {3, 6}, the best moves are {[5, 2, 2, 4, 1, 0]} For position , [4, 3, 1, 4, 1, 2], and roll, {3, 6}, the best moves are {[4, 3, 2, 4, 1, 0]} For position , [3, 4, 1, 4, 1, 2], and roll, {3, 6}, the best moves are {[3, 4, 2, 4, 1, 0]} For position , [3, 2, 1, 6, 1, 2], and roll, {3, 6}, the best moves are {[3, 2, 2, 6, 1, 0]} For position , [3, 3, 1, 5, 0, 3], and roll, {3, 6}, the best moves are {[3, 3, 2, 5, 0, 1]} For position , [2, 4, 1, 5, 0, 3], and roll, {3, 6}, the best moves are {[2, 4, 2, 5, 0, 1]} For position , [2, 3, 1, 6, 0, 3], and roll, {3, 6}, the best moves are {[2, 3, 2, 6, 0, 1]} For position , [3, 2, 1, 6, 0, 3], and roll, {3, 6}, the best moves are {[3, 2, 2, 6, 0, 1]} For position , [4, 1, 1, 6, 0, 3], and roll, {3, 6}, the best moves are {[4, 1, 2, 6, 0, 1]} For position , [5, 0, 1, 6, 0, 3], and roll, {3, 6}, the best moves are {[5, 0, 2, 6, 0, 1]} For position , [2, 2, 1, 7, 0, 3], and roll, {3, 6}, the best moves are {[2, 2, 2, 7, 0, 1]} For position , [3, 1, 1, 7, 0, 3], and roll, {3, 6}, the best moves are {[3, 1, 2, 7, 0, 1]} For position , [4, 0, 1, 7, 0, 3], and roll, {3, 6}, the best moves are {[4, 0, 2, 7, 0, 1]} For position , [1, 1, 1, 9, 0, 3], and roll, {3, 6}, the best moves are {[1, 1, 2, 9, 0, 1]} For position , [2, 0, 1, 9, 0, 3], and roll, {3, 6}, the best moves are {[2, 0, 2, 9, 0, 1]} For position , [2, 1, 1, 8, 0, 3], and roll, {3, 6}, the best moves are {[2, 1, 2, 8, 0, 1]} For position , [3, 0, 1, 8, 0, 3], and roll, {3, 6}, the best moves are {[3, 0, 2, 8, 0, 1]} For position , [3, 4, 1, 4, 0, 3], and roll, {3, 6}, the best moves are {[3, 4, 2, 4, 0, 1]} For position , [4, 3, 1, 4, 0, 3], and roll, {3, 6}, the best moves are {[4, 3, 2, 4, 0, 1]} For position , [5, 2, 1, 4, 0, 3], and roll, {3, 6}, the best moves are {[5, 2, 2, 4, 0, 1]} For position , [1, 0, 1, 10, 0, 3], and roll, {3, 6}, the best moves are {[1, 0, 2, 10, 0, 1]} For position , [4, 2, 1, 5, 0, 3], and roll, {3, 6}, the best moves are {[4, 2, 2, 5, 0, 1]} For position , [5, 1, 1, 5, 0, 3], and roll, {3, 6}, the best moves are {[5, 1, 2, 5, 0, 1]} For position , [3, 1, 1, 6, 0, 4], and roll, {3, 6}, the best moves are {[3, 1, 2, 6, 0, 2]} For position , [2, 1, 1, 7, 0, 4], and roll, {3, 6}, the best moves are {[2, 1, 2, 7, 0, 2]} For position , [2, 0, 1, 8, 0, 4], and roll, {3, 6}, the best moves are {[2, 0, 2, 8, 0, 2]} For position , [3, 0, 1, 7, 0, 4], and roll, {3, 6}, the best moves are {[3, 0, 2, 7, 0, 2]} When the roll was, {3, 6}, and there were, 15, checkers , the exceptions to greedy play were {[{3, 6}, [5, 0, 1, 6, 2, 1], [5, 1, 1, 6, 1, 0]], [{3, 6}, [6, 0, 1, 6, 1, 1], [6, 1, 1, 6, 0, 0]], [{3, 6}, [10, 0, 3, 0, 1, 1], [10, 1, 3, 0, 0, 0]], [{3, 6}, [7, 0, 6, 0, 1, 1], [7, 1, 6, 0, 0, 0]], [{3, 6}, [4, 0, 1, 7, 2, 1], [4, 1, 1, 7, 1, 0]], [{3, 6}, [11, 0, 2, 0, 1, 1], [11, 1, 2, 0, 0, 0]], [{3, 6}, [5, 0, 1, 5, 3, 1], [5, 1, 1, 5, 2, 0]], [{3, 6}, [7, 0, 1, 4, 2, 1], [7, 1, 1, 4, 1, 0]], [{3, 6}, [7, 2, 1, 3, 0, 2], [7, 2, 2, 3, 0, 0]], [{3, 6}, [3, 6, 1, 3, 0, 2], [3, 6, 2, 3, 0, 0]], [{3, 6}, [8, 1, 1, 3, 0, 2], [8, 1, 2, 3, 0, 0]], [{3, 6}, [5, 4, 1, 3, 0, 2], [5, 4, 2, 3, 0, 0]], [{3, 6}, [9, 1, 1, 2, 0, 2], [9, 1, 2, 2, 0, 0]], [{3, 6}, [7, 3, 1, 2, 0, 2], [7, 3, 2, 2, 0, 0]], [{3, 6}, [6, 4, 1, 2, 0, 2], [6, 4, 2, 2, 0, 0]], [{3, 6}, [4, 6, 1, 2, 0, 2], [4, 6, 2, 2, 0, 0]], [{3, 6}, [3, 7, 1, 2, 0, 2], [3, 7, 2, 2, 0, 0]], [{3, 6}, [5, 6, 1, 1, 0, 2], [5, 6, 2, 1, 0, 0]], [{3, 6}, [7, 4, 1, 1, 0, 2], [7, 4, 2, 1, 0, 0]], [{3, 6}, [4, 7, 1, 1, 0, 2], [4, 7, 2, 1, 0, 0]], [{3, 6}, [1, 3, 1, 8, 0, 2], [1, 3, 2, 8, 0, 0]], [{3, 6}, [3, 0, 1, 9, 0, 2], [3, 0, 2, 9, 0, 0]], [{3, 6}, [2, 1, 1, 9, 0, 2], [2, 1, 2, 9, 0, 0]], [{3, 6}, [1, 2, 1, 9, 0, 2], [1, 2, 2, 9, 0, 0]], [{3, 6}, [8, 3, 1, 1, 0, 2], [8, 3, 2, 1, 0, 0]], [{3, 6}, [4, 0, 1, 8, 0, 2], [4, 0, 2, 8, 0, 0]], [{3, 6}, [5, 0, 1, 7, 0, 2], [5, 0, 2, 7, 0, 0]], [{3, 6}, [3, 1, 1, 8, 0, 2], [3, 1, 2, 8, 0, 0]], [{3, 6}, [2, 2, 1, 8, 0, 2], [2, 2, 2, 8, 0, 0]], [{3, 6}, [4, 1, 1, 7, 0, 2], [4, 1, 2, 7, 0, 0]], [{3, 6}, [3, 2, 1, 7, 0, 2], [3, 2, 2, 7, 0, 0]], [{3, 6}, [2, 3, 1, 7, 0, 2], [2, 3, 2, 7, 0, 0]], [{3, 6}, [1, 4, 1, 7, 0, 2], [1, 4, 2, 7, 0, 0]], [{3, 6}, [4, 3, 1, 5, 0, 2], [4, 3, 2, 5, 0, 0]], [{3, 6}, [3, 4, 1, 5, 0, 2], [3, 4, 2, 5, 0, 0]], [{3, 6}, [2, 5, 1, 5, 0, 2], [2, 5, 2, 5, 0, 0]], [{3, 6}, [6, 1, 1, 5, 0, 2], [6, 1, 2, 5, 0, 0]], [{3, 6}, [7, 0, 1, 5, 0, 2], [7, 0, 2, 5, 0, 0]], [{3, 6}, [5, 2, 1, 5, 0, 2], [5, 2, 2, 5, 0, 0]], [{3, 6}, [4, 4, 1, 4, 0, 2], [4, 4, 2, 4, 0, 0]], [{3, 6}, [3, 5, 1, 4, 0, 2], [3, 5, 2, 4, 0, 0]], [{3, 6}, [7, 1, 1, 4, 0, 2], [7, 1, 2, 4, 0, 0]], [{3, 6}, [5, 3, 1, 4, 0, 2], [5, 3, 2, 4, 0, 0]], [{3, 6}, [6, 2, 1, 4, 0, 2], [6, 2, 2, 4, 0, 0]], [{3, 6}, [4, 5, 1, 3, 0, 2], [4, 5, 2, 3, 0, 0]], [{3, 6}, [6, 5, 1, 1, 0, 2], [6, 5, 2, 1, 0, 0]], [{3, 6}, [9, 2, 1, 1, 0, 2], [9, 2, 2, 1, 0, 0]], [{3, 6}, [8, 2, 1, 2, 0, 2], [8, 2, 2, 2, 0, 0]], [{3, 6}, [6, 3, 1, 3, 0, 2], [6, 3, 2, 3, 0, 0]], [{3, 6}, [2, 7, 1, 3, 0, 2], [2, 7, 2, 3, 0, 0]], [{3, 6}, [5, 5, 1, 2, 0, 2], [5, 5, 2, 2, 0, 0]], [{3, 6}, [1, 1, 1, 10, 0, 2], [1, 1, 2, 10, 0, 0]], [{3, 6}, [1, 0, 1, 11, 0, 2], [1, 0, 2, 11, 0, 0]], [{3, 6}, [2, 6, 1, 4, 0, 2], [2, 6, 2, 4, 0, 0]], [{3, 6}, [4, 2, 1, 5, 1, 2], [4, 2, 2, 5, 1, 0]], [{3, 6}, [2, 0, 1, 10, 0, 2], [2, 0, 2, 10, 0, 0]], [{3, 6}, [2, 4, 1, 6, 0, 2], [2, 4, 2, 6, 0, 0]], [{3, 6}, [3, 3, 1, 5, 1, 2], [3, 3, 2, 5, 1, 0]], [{3, 6}, [5, 1, 1, 6, 0, 2], [5, 1, 2, 6, 0, 0]], [{3, 6}, [4, 2, 1, 6, 0, 2], [4, 2, 2, 6, 0, 0]], [{3, 6}, [3, 3, 1, 6, 0, 2], [3, 3, 2, 6, 0, 0]], [{3, 6}, [5, 2, 1, 4, 1, 2], [5, 2, 2, 4, 1, 0]], [{3, 6}, [6, 0, 1, 6, 0, 2], [6, 0, 2, 6, 0, 0]], [{3, 6}, [3, 2, 1, 6, 1, 2], [3, 2, 2, 6, 1, 0]], [{3, 6}, [3, 4, 1, 4, 1, 2], [3, 4, 2, 4, 1, 0]], [{3, 6}, [4, 3, 1, 4, 1, 2], [4, 3, 2, 4, 1, 0]], [{3, 6}, [2, 4, 1, 5, 0, 3], [2, 4, 2, 5, 0, 1]], [{3, 6}, [3, 3, 1, 5, 0, 3], [3, 3, 2, 5, 0, 1]], [{3, 6}, [5, 2, 1, 4, 0, 3], [5, 2, 2, 4, 0, 1]], [{3, 6}, [3, 2, 1, 6, 0, 3], [3, 2, 2, 6, 0, 1]], [{3, 6}, [4, 3, 1, 4, 0, 3], [4, 3, 2, 4, 0, 1]], [{3, 6}, [3, 4, 1, 4, 0, 3], [3, 4, 2, 4, 0, 1]], [{3, 6}, [2, 3, 1, 6, 0, 3], [2, 3, 2, 6, 0, 1]], [{3, 6}, [2, 2, 1, 7, 0, 3], [2, 2, 2, 7, 0, 1]], [{3, 6}, [5, 0, 1, 6, 0, 3], [5, 0, 2, 6, 0, 1]], [{3, 6}, [4, 1, 1, 6, 0, 3], [4, 1, 2, 6, 0, 1]], [{3, 6}, [5, 1, 1, 5, 0, 3], [5, 1, 2, 5, 0, 1]], [{3, 6}, [4, 0, 1, 7, 0, 3], [4, 0, 2, 7, 0, 1]], [{3, 6}, [3, 1, 1, 7, 0, 3], [3, 1, 2, 7, 0, 1]], [{3, 6}, [2, 1, 1, 8, 0, 3], [2, 1, 2, 8, 0, 1]], [{3, 6}, [2, 0, 1, 9, 0, 3], [2, 0, 2, 9, 0, 1]], [{3, 6}, [1, 1, 1, 9, 0, 3], [1, 1, 2, 9, 0, 1]], [{3, 6}, [3, 0, 1, 8, 0, 3], [3, 0, 2, 8, 0, 1]], [{3, 6}, [1, 0, 1, 10, 0, 3], [1, 0, 2, 10, 0, 1]], [{3, 6}, [4, 2, 1, 5, 0, 3], [4, 2, 2, 5, 0, 1]], [{3, 6}, [3, 1, 1, 6, 0, 4], [3, 1, 2, 6, 0, 2]], [{3, 6}, [2, 0, 1, 8, 0, 4], [2, 0, 2, 8, 0, 2]], [{3, 6}, [2, 1, 1, 7, 0, 4], [2, 1, 2, 7, 0, 2]], [{3, 6}, [3, 0, 1, 7, 0, 4], [3, 0, 2, 7, 0, 2]], [{3, 6}, [6, 1, 1, 5, 1, 1], [6, 2, 1, 5, 0, 0]], [{3, 6}, [7, 0, 1, 5, 1, 1], [7, 1, 1, 5, 0, 0]], [{3, 6}, [7, 1, 1, 4, 1, 1], [7, 2, 1, 4, 0, 0]], [{3, 6}, [8, 0, 1, 4, 1, 1], [8, 1, 1, 4, 0, 0]], [{3, 6}, [4, 1, 1, 7, 1, 1], [4, 2, 1, 7, 0, 0]], [{3, 6}, [5, 0, 1, 7, 1, 1], [5, 1, 1, 7, 0, 0]], [{3, 6}, [6, 0, 7, 0, 1, 1], [6, 1, 7, 0, 0, 0]], [{3, 6}, [8, 0, 5, 0, 1, 1], [8, 1, 5, 0, 0, 0]], [{3, 6}, [9, 0, 4, 0, 1, 1], [9, 1, 4, 0, 0, 0]], [{3, 6}, [7, 1, 5, 0, 1, 1], [7, 2, 5, 0, 0, 0]], [{3, 6}, [5, 0, 8, 0, 1, 1], [5, 1, 8, 0, 0, 0]], [{3, 6}, [2, 0, 1, 10, 1, 1], [2, 1, 1, 10, 0, 0]], [{3, 6}, [3, 0, 1, 9, 1, 1], [3, 1, 1, 9, 0, 0]], [{3, 6}, [3, 1, 1, 8, 1, 1], [3, 2, 1, 8, 0, 0]], [{3, 6}, [4, 0, 1, 8, 1, 1], [4, 1, 1, 8, 0, 0]], [{3, 6}, [6, 0, 1, 5, 2, 1], [6, 1, 1, 5, 1, 0]], [{3, 6}, [9, 0, 1, 3, 1, 1], [9, 1, 1, 3, 0, 0]], [{3, 6}, [5, 1, 1, 6, 1, 1], [5, 2, 1, 6, 0, 0]]} For position , [10, 0, 1, 2, 1, 1], and roll, {4, 5}, the best moves are {[10, 1, 1, 2, 0, 0]} For position , [11, 0, 1, 1, 1, 1], and roll, {4, 5}, the best moves are {[11, 1, 1, 1, 0, 0]} For position , [3, 0, 9, 1, 1, 1], and roll, {4, 5}, the best moves are {[3, 1, 9, 1, 0, 0]} For position , [4, 0, 8, 1, 1, 1], and roll, {4, 5}, the best moves are {[4, 1, 8, 1, 0, 0]} For position , [5, 0, 7, 1, 1, 1], and roll, {4, 5}, the best moves are {[5, 1, 7, 1, 0, 0]} For position , [5, 0, 6, 2, 1, 1], and roll, {4, 5}, the best moves are {[5, 1, 6, 2, 0, 0]} For position , [6, 0, 5, 2, 1, 1], and roll, {4, 5}, the best moves are {[6, 1, 5, 2, 0, 0]} For position , [8, 0, 3, 2, 1, 1], and roll, {4, 5}, the best moves are {[8, 1, 3, 2, 0, 0]} For position , [3, 0, 8, 1, 2, 1], and roll, {4, 5}, the best moves are {[3, 1, 8, 1, 1, 0]} For position , [9, 0, 3, 1, 1, 1], and roll, {4, 5}, the best moves are {[9, 1, 3, 1, 0, 0]} For position , [5, 1, 6, 1, 1, 1], and roll, {4, 5}, the best moves are {[5, 2, 6, 1, 0, 0]} For position , [9, 0, 2, 2, 1, 1], and roll, {4, 5}, the best moves are {[9, 1, 2, 2, 0, 0]} For position , [7, 0, 4, 2, 1, 1], and roll, {4, 5}, the best moves are {[7, 1, 4, 2, 0, 0]} For position , [7, 0, 4, 1, 2, 1], and roll, {4, 5}, the best moves are {[7, 1, 4, 1, 1, 0]} For position , [6, 0, 5, 1, 2, 1], and roll, {4, 5}, the best moves are {[6, 1, 5, 1, 1, 0]} For position , [5, 0, 6, 1, 2, 1], and roll, {4, 5}, the best moves are {[5, 1, 6, 1, 1, 0]} For position , [4, 0, 7, 1, 2, 1], and roll, {4, 5}, the best moves are {[4, 1, 7, 1, 1, 0]} For position , [6, 0, 4, 1, 3, 1], and roll, {4, 5}, the best moves are {[6, 1, 4, 1, 2, 0]} For position , [8, 0, 2, 1, 3, 1], and roll, {4, 5}, the best moves are {[8, 1, 2, 1, 2, 0]} For position , [7, 0, 3, 1, 3, 1], and roll, {4, 5}, the best moves are {[7, 1, 3, 1, 2, 0]} For position , [5, 0, 5, 1, 3, 1], and roll, {4, 5}, the best moves are {[5, 1, 5, 1, 2, 0]} For position , [4, 0, 6, 1, 3, 1], and roll, {4, 5}, the best moves are {[4, 1, 6, 1, 2, 0]} For position , [3, 0, 7, 1, 3, 1], and roll, {4, 5}, the best moves are {[3, 1, 7, 1, 2, 0]} For position , [2, 0, 8, 1, 3, 1], and roll, {4, 5}, the best moves are {[2, 1, 8, 1, 2, 0]} For position , [7, 0, 2, 1, 4, 1], and roll, {4, 5}, the best moves are {[7, 1, 2, 1, 3, 0]} For position , [6, 0, 3, 1, 4, 1], and roll, {4, 5}, the best moves are {[6, 1, 3, 1, 3, 0]} For position , [5, 1, 3, 1, 4, 1], and roll, {4, 5}, the best moves are {[5, 2, 3, 1, 3, 0]} For position , [5, 0, 4, 1, 4, 1], and roll, {4, 5}, the best moves are {[5, 1, 4, 1, 3, 0]} For position , [4, 1, 4, 1, 4, 1], and roll, {4, 5}, the best moves are {[4, 2, 4, 1, 3, 0]} For position , [4, 0, 5, 1, 4, 1], and roll, {4, 5}, the best moves are {[4, 1, 5, 1, 3, 0]} For position , [3, 1, 5, 1, 4, 1], and roll, {4, 5}, the best moves are {[3, 2, 5, 1, 3, 0]} For position , [3, 0, 6, 1, 4, 1], and roll, {4, 5}, the best moves are {[3, 1, 6, 1, 3, 0]} For position , [2, 0, 7, 1, 4, 1], and roll, {4, 5}, the best moves are {[2, 1, 7, 1, 3, 0]} For position , [6, 0, 1, 1, 6, 1], and roll, {4, 5}, the best moves are {[6, 1, 1, 1, 5, 0]} For position , [5, 0, 2, 1, 6, 1], and roll, {4, 5}, the best moves are {[5, 1, 2, 1, 5, 0]} For position , [4, 0, 3, 1, 6, 1], and roll, {4, 5}, the best moves are {[4, 1, 3, 1, 5, 0]} For position , [3, 0, 4, 1, 6, 1], and roll, {4, 5}, the best moves are {[3, 1, 4, 1, 5, 0]} For position , [2, 0, 5, 1, 6, 1], and roll, {4, 5}, the best moves are {[2, 1, 5, 1, 5, 0]} For position , [1, 0, 6, 1, 6, 1], and roll, {4, 5}, the best moves are {[1, 1, 6, 1, 5, 0]} For position , [4, 0, 4, 1, 5, 1], and roll, {4, 5}, the best moves are {[4, 1, 4, 1, 4, 0]} For position , [3, 1, 4, 1, 5, 1], and roll, {4, 5}, the best moves are {[3, 2, 4, 1, 4, 0]} For position , [3, 0, 5, 1, 5, 1], and roll, {4, 5}, the best moves are {[3, 1, 5, 1, 4, 0]} For position , [6, 0, 2, 1, 5, 1], and roll, {4, 5}, the best moves are {[6, 1, 2, 1, 4, 0]} For position , [5, 0, 3, 1, 5, 1], and roll, {4, 5}, the best moves are {[5, 1, 3, 1, 4, 0]} For position , [2, 0, 6, 1, 5, 1], and roll, {4, 5}, the best moves are {[2, 1, 6, 1, 4, 0]} For position , [4, 0, 1, 1, 8, 1], and roll, {4, 5}, the best moves are {[4, 1, 1, 1, 7, 0]} For position , [3, 0, 2, 1, 8, 1], and roll, {4, 5}, the best moves are {[3, 1, 2, 1, 7, 0]} For position , [2, 0, 3, 1, 8, 1], and roll, {4, 5}, the best moves are {[2, 1, 3, 1, 7, 0]} For position , [3, 0, 3, 1, 7, 1], and roll, {4, 5}, the best moves are {[3, 1, 3, 1, 6, 0]} For position , [2, 0, 4, 1, 7, 1], and roll, {4, 5}, the best moves are {[2, 1, 4, 1, 6, 0]} For position , [1, 0, 5, 1, 7, 1], and roll, {4, 5}, the best moves are {[1, 1, 5, 1, 6, 0]} For position , [3, 0, 1, 1, 9, 1], and roll, {4, 5}, the best moves are {[3, 1, 1, 1, 8, 0]} For position , [2, 0, 2, 1, 9, 1], and roll, {4, 5}, the best moves are {[2, 1, 2, 1, 8, 0]} For position , [1, 0, 3, 1, 9, 1], and roll, {4, 5}, the best moves are {[1, 1, 3, 1, 8, 0]} For position , [1, 0, 4, 1, 8, 1], and roll, {4, 5}, the best moves are {[1, 1, 4, 1, 7, 0]} For position , [5, 0, 1, 1, 7, 1], and roll, {4, 5}, the best moves are {[5, 1, 1, 1, 6, 0]} For position , [4, 0, 2, 1, 7, 1], and roll, {4, 5}, the best moves are {[4, 1, 2, 1, 6, 0]} For position , [7, 0, 4, 1, 1, 2], and roll, {4, 5}, the best moves are {[7, 1, 4, 1, 0, 1]} For position , [6, 0, 5, 1, 1, 2], and roll, {4, 5}, the best moves are {[6, 1, 5, 1, 0, 1]} For position , [3, 0, 8, 1, 1, 2], and roll, {4, 5}, the best moves are {[3, 1, 8, 1, 0, 1]} For position , [2, 0, 9, 1, 1, 2], and roll, {4, 5}, the best moves are {[2, 1, 9, 1, 0, 1]} For position , [5, 0, 6, 1, 1, 2], and roll, {4, 5}, the best moves are {[5, 1, 6, 1, 0, 1]} For position , [4, 0, 7, 1, 1, 2], and roll, {4, 5}, the best moves are {[4, 1, 7, 1, 0, 1]} For position , [4, 0, 6, 1, 2, 2], and roll, {4, 5}, the best moves are {[4, 1, 6, 1, 1, 1]} For position , [5, 0, 5, 1, 2, 2], and roll, {4, 5}, the best moves are {[5, 1, 5, 1, 1, 1]} For position , [4, 0, 5, 1, 2, 3], and roll, {4, 5}, the best moves are {[4, 1, 5, 1, 1, 2]} For position , [5, 0, 4, 1, 2, 3], and roll, {4, 5}, the best moves are {[5, 1, 4, 1, 1, 2]} For position , [3, 0, 6, 1, 2, 3], and roll, {4, 5}, the best moves are {[3, 1, 6, 1, 1, 2]} For position , [10, 0, 2, 1, 1, 1], and roll, {4, 5}, the best moves are {[10, 1, 2, 1, 0, 0]} For position , [8, 0, 4, 1, 1, 1], and roll, {4, 5}, the best moves are {[8, 1, 4, 1, 0, 0]} For position , [7, 1, 4, 1, 1, 1], and roll, {4, 5}, the best moves are {[7, 2, 4, 1, 0, 0]} For position , [7, 0, 5, 1, 1, 1], and roll, {4, 5}, the best moves are {[7, 1, 5, 1, 0, 0]} For position , [6, 1, 5, 1, 1, 1], and roll, {4, 5}, the best moves are {[6, 2, 5, 1, 0, 0]} For position , [6, 0, 6, 1, 1, 1], and roll, {4, 5}, the best moves are {[6, 1, 6, 1, 0, 0]} When the roll was, {4, 5}, and there were, 15, checkers , the exceptions to greedy play were {[{4, 5}, [11, 0, 1, 1, 1, 1], [11, 1, 1, 1, 0, 0]], [{4, 5}, [10, 0, 1, 2, 1, 1], [10, 1, 1, 2, 0, 0]], [{4, 5}, [9, 0, 3, 1, 1, 1], [9, 1, 3, 1, 0, 0]], [{4, 5}, [4, 0, 8, 1, 1, 1], [4, 1, 8, 1, 0, 0]], [{4, 5}, [5, 0, 7, 1, 1, 1], [5, 1, 7, 1, 0, 0]], [{4, 5}, [3, 0, 9, 1, 1, 1], [3, 1, 9, 1, 0, 0]], [{4, 5}, [5, 0, 6, 2, 1, 1], [5, 1, 6, 2, 0, 0]], [{4, 5}, [6, 0, 5, 2, 1, 1], [6, 1, 5, 2, 0, 0]], [{4, 5}, [8, 0, 3, 2, 1, 1], [8, 1, 3, 2, 0, 0]], [{4, 5}, [3, 0, 8, 1, 2, 1], [3, 1, 8, 1, 1, 0]], [{4, 5}, [9, 0, 2, 2, 1, 1], [9, 1, 2, 2, 0, 0]], [{4, 5}, [5, 0, 5, 1, 3, 1], [5, 1, 5, 1, 2, 0]], [{4, 5}, [5, 1, 6, 1, 1, 1], [5, 2, 6, 1, 0, 0]], [{4, 5}, [3, 1, 4, 1, 5, 1], [3, 2, 4, 1, 4, 0]], [{4, 5}, [2, 0, 8, 1, 3, 1], [2, 1, 8, 1, 2, 0]], [{4, 5}, [7, 0, 4, 2, 1, 1], [7, 1, 4, 2, 0, 0]], [{4, 5}, [7, 0, 4, 1, 2, 1], [7, 1, 4, 1, 1, 0]], [{4, 5}, [4, 0, 7, 1, 2, 1], [4, 1, 7, 1, 1, 0]], [{4, 5}, [5, 0, 6, 1, 2, 1], [5, 1, 6, 1, 1, 0]], [{4, 5}, [6, 0, 5, 1, 2, 1], [6, 1, 5, 1, 1, 0]], [{4, 5}, [6, 0, 4, 1, 3, 1], [6, 1, 4, 1, 2, 0]], [{4, 5}, [4, 1, 4, 1, 4, 1], [4, 2, 4, 1, 3, 0]], [{4, 5}, [8, 0, 2, 1, 3, 1], [8, 1, 2, 1, 2, 0]], [{4, 5}, [3, 0, 6, 1, 4, 1], [3, 1, 6, 1, 3, 0]], [{4, 5}, [3, 1, 5, 1, 4, 1], [3, 2, 5, 1, 3, 0]], [{4, 5}, [3, 0, 6, 1, 2, 3], [3, 1, 6, 1, 1, 2]], [{4, 5}, [7, 0, 3, 1, 3, 1], [7, 1, 3, 1, 2, 0]], [{4, 5}, [2, 0, 7, 1, 4, 1], [2, 1, 7, 1, 3, 0]], [{4, 5}, [5, 0, 2, 1, 6, 1], [5, 1, 2, 1, 5, 0]], [{4, 5}, [3, 0, 4, 1, 6, 1], [3, 1, 4, 1, 5, 0]], [{4, 5}, [4, 0, 3, 1, 6, 1], [4, 1, 3, 1, 5, 0]], [{4, 5}, [4, 0, 6, 1, 3, 1], [4, 1, 6, 1, 2, 0]], [{4, 5}, [1, 0, 6, 1, 6, 1], [1, 1, 6, 1, 5, 0]], [{4, 5}, [2, 0, 5, 1, 6, 1], [2, 1, 5, 1, 5, 0]], [{4, 5}, [4, 0, 4, 1, 5, 1], [4, 1, 4, 1, 4, 0]], [{4, 5}, [3, 0, 7, 1, 3, 1], [3, 1, 7, 1, 2, 0]], [{4, 5}, [3, 0, 5, 1, 5, 1], [3, 1, 5, 1, 4, 0]], [{4, 5}, [7, 0, 2, 1, 4, 1], [7, 1, 2, 1, 3, 0]], [{4, 5}, [2, 0, 6, 1, 5, 1], [2, 1, 6, 1, 4, 0]], [{4, 5}, [6, 0, 3, 1, 4, 1], [6, 1, 3, 1, 3, 0]], [{4, 5}, [4, 0, 1, 1, 8, 1], [4, 1, 1, 1, 7, 0]], [{4, 5}, [2, 0, 3, 1, 8, 1], [2, 1, 3, 1, 7, 0]], [{4, 5}, [5, 1, 3, 1, 4, 1], [5, 2, 3, 1, 3, 0]], [{4, 5}, [3, 0, 2, 1, 8, 1], [3, 1, 2, 1, 7, 0]], [{4, 5}, [3, 0, 3, 1, 7, 1], [3, 1, 3, 1, 6, 0]], [{4, 5}, [5, 0, 4, 1, 4, 1], [5, 1, 4, 1, 3, 0]], [{4, 5}, [2, 0, 4, 1, 7, 1], [2, 1, 4, 1, 6, 0]], [{4, 5}, [3, 0, 1, 1, 9, 1], [3, 1, 1, 1, 8, 0]], [{4, 5}, [1, 0, 5, 1, 7, 1], [1, 1, 5, 1, 6, 0]], [{4, 5}, [2, 0, 2, 1, 9, 1], [2, 1, 2, 1, 8, 0]], [{4, 5}, [4, 0, 5, 1, 4, 1], [4, 1, 5, 1, 3, 0]], [{4, 5}, [6, 0, 1, 1, 6, 1], [6, 1, 1, 1, 5, 0]], [{4, 5}, [5, 0, 1, 1, 7, 1], [5, 1, 1, 1, 6, 0]], [{4, 5}, [1, 0, 4, 1, 8, 1], [1, 1, 4, 1, 7, 0]], [{4, 5}, [6, 0, 2, 1, 5, 1], [6, 1, 2, 1, 4, 0]], [{4, 5}, [4, 0, 2, 1, 7, 1], [4, 1, 2, 1, 6, 0]], [{4, 5}, [6, 0, 5, 1, 1, 2], [6, 1, 5, 1, 0, 1]], [{4, 5}, [5, 0, 3, 1, 5, 1], [5, 1, 3, 1, 4, 0]], [{4, 5}, [2, 0, 9, 1, 1, 2], [2, 1, 9, 1, 0, 1]], [{4, 5}, [4, 0, 6, 1, 2, 2], [4, 1, 6, 1, 1, 1]], [{4, 5}, [7, 0, 4, 1, 1, 2], [7, 1, 4, 1, 0, 1]], [{4, 5}, [4, 0, 5, 1, 2, 3], [4, 1, 5, 1, 1, 2]], [{4, 5}, [3, 0, 8, 1, 1, 2], [3, 1, 8, 1, 0, 1]], [{4, 5}, [5, 0, 4, 1, 2, 3], [5, 1, 4, 1, 1, 2]], [{4, 5}, [5, 0, 6, 1, 1, 2], [5, 1, 6, 1, 0, 1]], [{4, 5}, [10, 0, 2, 1, 1, 1], [10, 1, 2, 1, 0, 0]], [{4, 5}, [4, 0, 7, 1, 1, 2], [4, 1, 7, 1, 0, 1]], [{4, 5}, [5, 0, 5, 1, 2, 2], [5, 1, 5, 1, 1, 1]], [{4, 5}, [8, 0, 4, 1, 1, 1], [8, 1, 4, 1, 0, 0]], [{4, 5}, [7, 1, 4, 1, 1, 1], [7, 2, 4, 1, 0, 0]], [{4, 5}, [7, 0, 5, 1, 1, 1], [7, 1, 5, 1, 0, 0]], [{4, 5}, [6, 1, 5, 1, 1, 1], [6, 2, 5, 1, 0, 0]], [{4, 5}, [6, 0, 6, 1, 1, 1], [6, 1, 6, 1, 0, 0]], [{4, 5}, [1, 0, 3, 1, 9, 1], [1, 1, 3, 1, 8, 0]]} For position , [10, 0, 1, 2, 0, 2], and roll, {4, 6}, the best moves are {[10, 1, 1, 2, 0, 0]} For position , [6, 0, 6, 1, 0, 2], and roll, {4, 6}, the best moves are {[6, 1, 6, 1, 0, 0]} For position , [6, 1, 5, 1, 0, 2], and roll, {4, 6}, the best moves are {[6, 2, 5, 1, 0, 0]} For position , [7, 0, 5, 1, 0, 2], and roll, {4, 6}, the best moves are {[7, 1, 5, 1, 0, 0]} For position , [7, 1, 4, 1, 0, 2], and roll, {4, 6}, the best moves are {[7, 2, 4, 1, 0, 0]} For position , [8, 0, 4, 1, 0, 2], and roll, {4, 6}, the best moves are {[8, 1, 4, 1, 0, 0]} For position , [10, 0, 2, 1, 0, 2], and roll, {4, 6}, the best moves are {[10, 1, 2, 1, 0, 0]} For position , [11, 0, 1, 1, 0, 2], and roll, {4, 6}, the best moves are {[11, 1, 1, 1, 0, 0]} For position , [3, 0, 9, 1, 0, 2], and roll, {4, 6}, the best moves are {[3, 1, 9, 1, 0, 0]} For position , [4, 0, 8, 1, 0, 2], and roll, {4, 6}, the best moves are {[4, 1, 8, 1, 0, 0]} For position , [5, 0, 7, 1, 0, 2], and roll, {4, 6}, the best moves are {[5, 1, 7, 1, 0, 0]} For position , [9, 0, 3, 1, 0, 2], and roll, {4, 6}, the best moves are {[9, 1, 3, 1, 0, 0]} For position , [5, 1, 6, 1, 0, 2], and roll, {4, 6}, the best moves are {[5, 2, 6, 1, 0, 0]} For position , [9, 0, 2, 2, 0, 2], and roll, {4, 6}, the best moves are {[9, 1, 2, 2, 0, 0]} For position , [7, 0, 4, 2, 0, 2], and roll, {4, 6}, the best moves are {[7, 1, 4, 2, 0, 0]} For position , [7, 0, 4, 1, 1, 2], and roll, {4, 6}, the best moves are {[7, 1, 4, 1, 1, 0]} For position , [6, 0, 5, 1, 1, 2], and roll, {4, 6}, the best moves are {[6, 1, 5, 1, 1, 0]} For position , [5, 0, 6, 2, 0, 2], and roll, {4, 6}, the best moves are {[5, 1, 6, 2, 0, 0]} For position , [6, 0, 5, 2, 0, 2], and roll, {4, 6}, the best moves are {[6, 1, 5, 2, 0, 0]} For position , [8, 0, 3, 2, 0, 2], and roll, {4, 6}, the best moves are {[8, 1, 3, 2, 0, 0]} For position , [3, 0, 8, 1, 1, 2], and roll, {4, 6}, the best moves are {[3, 1, 8, 1, 1, 0]} For position , [5, 0, 6, 1, 1, 2], and roll, {4, 6}, the best moves are {[5, 1, 6, 1, 1, 0]} For position , [4, 0, 7, 1, 1, 2], and roll, {4, 6}, the best moves are {[4, 1, 7, 1, 1, 0]} For position , [4, 0, 6, 1, 2, 2], and roll, {4, 6}, the best moves are {[4, 1, 6, 1, 2, 0]} For position , [3, 0, 7, 1, 2, 2], and roll, {4, 6}, the best moves are {[3, 1, 7, 1, 2, 0]} For position , [2, 0, 8, 1, 2, 2], and roll, {4, 6}, the best moves are {[2, 1, 8, 1, 2, 0]} For position , [6, 0, 4, 1, 2, 2], and roll, {4, 6}, the best moves are {[6, 1, 4, 1, 2, 0]} For position , [8, 0, 2, 1, 2, 2], and roll, {4, 6}, the best moves are {[8, 1, 2, 1, 2, 0]} For position , [7, 0, 3, 1, 2, 2], and roll, {4, 6}, the best moves are {[7, 1, 3, 1, 2, 0]} For position , [5, 0, 5, 1, 2, 2], and roll, {4, 6}, the best moves are {[5, 1, 5, 1, 2, 0]} For position , [7, 0, 2, 1, 3, 2], and roll, {4, 6}, the best moves are {[7, 1, 2, 1, 3, 0]} For position , [6, 0, 3, 1, 3, 2], and roll, {4, 6}, the best moves are {[6, 1, 3, 1, 3, 0]} For position , [5, 1, 3, 1, 3, 2], and roll, {4, 6}, the best moves are {[5, 2, 3, 1, 3, 0]} For position , [5, 0, 4, 1, 3, 2], and roll, {4, 6}, the best moves are {[5, 1, 4, 1, 3, 0]} For position , [4, 1, 4, 1, 3, 2], and roll, {4, 6}, the best moves are {[4, 2, 4, 1, 3, 0]} For position , [4, 0, 5, 1, 3, 2], and roll, {4, 6}, the best moves are {[4, 1, 5, 1, 3, 0]} For position , [3, 1, 5, 1, 3, 2], and roll, {4, 6}, the best moves are {[3, 2, 5, 1, 3, 0]} For position , [3, 0, 6, 1, 3, 2], and roll, {4, 6}, the best moves are {[3, 1, 6, 1, 3, 0]} For position , [2, 0, 7, 1, 3, 2], and roll, {4, 6}, the best moves are {[2, 1, 7, 1, 3, 0]} For position , [6, 0, 2, 1, 4, 2], and roll, {4, 6}, the best moves are {[6, 1, 2, 1, 4, 0]} For position , [5, 0, 3, 1, 4, 2], and roll, {4, 6}, the best moves are {[5, 1, 3, 1, 4, 0]} For position , [2, 0, 6, 1, 4, 2], and roll, {4, 6}, the best moves are {[2, 1, 6, 1, 4, 0]} For position , [6, 0, 1, 1, 5, 2], and roll, {4, 6}, the best moves are {[6, 1, 1, 1, 5, 0]} For position , [5, 0, 2, 1, 5, 2], and roll, {4, 6}, the best moves are {[5, 1, 2, 1, 5, 0]} For position , [4, 0, 3, 1, 5, 2], and roll, {4, 6}, the best moves are {[4, 1, 3, 1, 5, 0]} For position , [3, 0, 4, 1, 5, 2], and roll, {4, 6}, the best moves are {[3, 1, 4, 1, 5, 0]} For position , [2, 0, 5, 1, 5, 2], and roll, {4, 6}, the best moves are {[2, 1, 5, 1, 5, 0]} For position , [1, 0, 6, 1, 5, 2], and roll, {4, 6}, the best moves are {[1, 1, 6, 1, 5, 0]} For position , [5, 0, 1, 1, 6, 2], and roll, {4, 6}, the best moves are {[5, 1, 1, 1, 6, 0]} For position , [4, 0, 2, 1, 6, 2], and roll, {4, 6}, the best moves are {[4, 1, 2, 1, 6, 0]} For position , [4, 0, 4, 1, 4, 2], and roll, {4, 6}, the best moves are {[4, 1, 4, 1, 4, 0]} For position , [3, 1, 4, 1, 4, 2], and roll, {4, 6}, the best moves are {[3, 2, 4, 1, 4, 0]} For position , [3, 0, 5, 1, 4, 2], and roll, {4, 6}, the best moves are {[3, 1, 5, 1, 4, 0]} For position , [3, 0, 3, 1, 6, 2], and roll, {4, 6}, the best moves are {[3, 1, 3, 1, 6, 0]} For position , [2, 0, 4, 1, 6, 2], and roll, {4, 6}, the best moves are {[2, 1, 4, 1, 6, 0]} For position , [1, 0, 5, 1, 6, 2], and roll, {4, 6}, the best moves are {[1, 1, 5, 1, 6, 0]} For position , [1, 0, 4, 1, 7, 2], and roll, {4, 6}, the best moves are {[1, 1, 4, 1, 7, 0]} For position , [3, 0, 1, 1, 8, 2], and roll, {4, 6}, the best moves are {[3, 1, 1, 1, 8, 0]} For position , [2, 0, 2, 1, 8, 2], and roll, {4, 6}, the best moves are {[2, 1, 2, 1, 8, 0]} For position , [1, 0, 3, 1, 8, 2], and roll, {4, 6}, the best moves are {[1, 1, 3, 1, 8, 0]} For position , [4, 0, 1, 1, 7, 2], and roll, {4, 6}, the best moves are {[4, 1, 1, 1, 7, 0]} For position , [3, 0, 2, 1, 7, 2], and roll, {4, 6}, the best moves are {[3, 1, 2, 1, 7, 0]} For position , [2, 0, 3, 1, 7, 2], and roll, {4, 6}, the best moves are {[2, 1, 3, 1, 7, 0]} For position , [6, 0, 5, 1, 0, 3], and roll, {4, 6}, the best moves are {[6, 1, 5, 1, 0, 1]} For position , [4, 0, 6, 1, 1, 3], and roll, {4, 6}, the best moves are {[4, 1, 6, 1, 1, 1]} For position , [4, 0, 7, 1, 0, 3], and roll, {4, 6}, the best moves are {[4, 1, 7, 1, 0, 1]} For position , [5, 0, 6, 1, 0, 3], and roll, {4, 6}, the best moves are {[5, 1, 6, 1, 0, 1]} For position , [2, 0, 9, 1, 0, 3], and roll, {4, 6}, the best moves are {[2, 1, 9, 1, 0, 1]} For position , [3, 0, 8, 1, 0, 3], and roll, {4, 6}, the best moves are {[3, 1, 8, 1, 0, 1]} For position , [5, 0, 5, 1, 1, 3], and roll, {4, 6}, the best moves are {[5, 1, 5, 1, 1, 1]} For position , [7, 0, 4, 1, 0, 3], and roll, {4, 6}, the best moves are {[7, 1, 4, 1, 0, 1]} For position , [3, 0, 6, 1, 1, 4], and roll, {4, 6}, the best moves are {[3, 1, 6, 1, 1, 2]} For position , [4, 0, 5, 1, 1, 4], and roll, {4, 6}, the best moves are {[4, 1, 5, 1, 1, 2]} For position , [5, 0, 4, 1, 1, 4], and roll, {4, 6}, the best moves are {[5, 1, 4, 1, 1, 2]} When the roll was, {4, 6}, and there were, 15, checkers , the exceptions to greedy play were {[{4, 6}, [3, 1, 4, 1, 4, 2], [3, 2, 4, 1, 4, 0]], [{4, 6}, [3, 0, 8, 1, 1, 2], [3, 1, 8, 1, 1, 0]], [{4, 6}, [4, 0, 7, 1, 1, 2], [4, 1, 7, 1, 1, 0]], [{4, 6}, [8, 0, 2, 1, 2, 2], [8, 1, 2, 1, 2, 0]], [{4, 6}, [7, 0, 2, 1, 3, 2], [7, 1, 2, 1, 3, 0]], [{4, 6}, [5, 0, 4, 1, 3, 2], [5, 1, 4, 1, 3, 0]], [{4, 6}, [5, 1, 3, 1, 3, 2], [5, 2, 3, 1, 3, 0]], [{4, 6}, [6, 0, 3, 1, 3, 2], [6, 1, 3, 1, 3, 0]], [{4, 6}, [4, 1, 4, 1, 3, 2], [4, 2, 4, 1, 3, 0]], [{4, 6}, [4, 0, 5, 1, 3, 2], [4, 1, 5, 1, 3, 0]], [{4, 6}, [6, 0, 5, 1, 0, 3], [6, 1, 5, 1, 0, 1]], [{4, 6}, [4, 0, 7, 1, 0, 3], [4, 1, 7, 1, 0, 1]], [{4, 6}, [7, 0, 4, 1, 0, 3], [7, 1, 4, 1, 0, 1]], [{4, 6}, [3, 1, 5, 1, 3, 2], [3, 2, 5, 1, 3, 0]], [{4, 6}, [3, 0, 6, 1, 3, 2], [3, 1, 6, 1, 3, 0]], [{4, 6}, [1, 0, 3, 1, 8, 2], [1, 1, 3, 1, 8, 0]], [{4, 6}, [6, 0, 6, 1, 0, 2], [6, 1, 6, 1, 0, 0]], [{4, 6}, [10, 0, 1, 2, 0, 2], [10, 1, 1, 2, 0, 0]], [{4, 6}, [6, 1, 5, 1, 0, 2], [6, 2, 5, 1, 0, 0]], [{4, 6}, [7, 1, 4, 1, 0, 2], [7, 2, 4, 1, 0, 0]], [{4, 6}, [7, 0, 5, 1, 0, 2], [7, 1, 5, 1, 0, 0]], [{4, 6}, [10, 0, 2, 1, 0, 2], [10, 1, 2, 1, 0, 0]], [{4, 6}, [8, 0, 4, 1, 0, 2], [8, 1, 4, 1, 0, 0]], [{4, 6}, [11, 0, 1, 1, 0, 2], [11, 1, 1, 1, 0, 0]], [{4, 6}, [4, 0, 8, 1, 0, 2], [4, 1, 8, 1, 0, 0]], [{4, 6}, [3, 0, 9, 1, 0, 2], [3, 1, 9, 1, 0, 0]], [{4, 6}, [9, 0, 3, 1, 0, 2], [9, 1, 3, 1, 0, 0]], [{4, 6}, [5, 0, 7, 1, 0, 2], [5, 1, 7, 1, 0, 0]], [{4, 6}, [5, 1, 6, 1, 0, 2], [5, 2, 6, 1, 0, 0]], [{4, 6}, [7, 0, 4, 2, 0, 2], [7, 1, 4, 2, 0, 0]], [{4, 6}, [9, 0, 2, 2, 0, 2], [9, 1, 2, 2, 0, 0]], [{4, 6}, [7, 0, 4, 1, 1, 2], [7, 1, 4, 1, 1, 0]], [{4, 6}, [5, 0, 6, 2, 0, 2], [5, 1, 6, 2, 0, 0]], [{4, 6}, [6, 0, 5, 1, 1, 2], [6, 1, 5, 1, 1, 0]], [{4, 6}, [6, 0, 5, 2, 0, 2], [6, 1, 5, 2, 0, 0]], [{4, 6}, [8, 0, 3, 2, 0, 2], [8, 1, 3, 2, 0, 0]], [{4, 6}, [5, 0, 6, 1, 1, 2], [5, 1, 6, 1, 1, 0]], [{4, 6}, [4, 0, 6, 1, 2, 2], [4, 1, 6, 1, 2, 0]], [{4, 6}, [2, 0, 8, 1, 2, 2], [2, 1, 8, 1, 2, 0]], [{4, 6}, [3, 0, 7, 1, 2, 2], [3, 1, 7, 1, 2, 0]], [{4, 6}, [6, 0, 4, 1, 2, 2], [6, 1, 4, 1, 2, 0]], [{4, 6}, [7, 0, 3, 1, 2, 2], [7, 1, 3, 1, 2, 0]], [{4, 6}, [6, 0, 2, 1, 4, 2], [6, 1, 2, 1, 4, 0]], [{4, 6}, [5, 0, 5, 1, 2, 2], [5, 1, 5, 1, 2, 0]], [{4, 6}, [2, 0, 6, 1, 4, 2], [2, 1, 6, 1, 4, 0]], [{4, 6}, [2, 0, 7, 1, 3, 2], [2, 1, 7, 1, 3, 0]], [{4, 6}, [5, 0, 2, 1, 5, 2], [5, 1, 2, 1, 5, 0]], [{4, 6}, [6, 0, 1, 1, 5, 2], [6, 1, 1, 1, 5, 0]], [{4, 6}, [3, 0, 4, 1, 5, 2], [3, 1, 4, 1, 5, 0]], [{4, 6}, [4, 0, 3, 1, 5, 2], [4, 1, 3, 1, 5, 0]], [{4, 6}, [1, 0, 6, 1, 5, 2], [1, 1, 6, 1, 5, 0]], [{4, 6}, [2, 0, 5, 1, 5, 2], [2, 1, 5, 1, 5, 0]], [{4, 6}, [4, 0, 2, 1, 6, 2], [4, 1, 2, 1, 6, 0]], [{4, 6}, [5, 0, 1, 1, 6, 2], [5, 1, 1, 1, 6, 0]], [{4, 6}, [4, 0, 4, 1, 4, 2], [4, 1, 4, 1, 4, 0]], [{4, 6}, [3, 0, 3, 1, 6, 2], [3, 1, 3, 1, 6, 0]], [{4, 6}, [3, 0, 5, 1, 4, 2], [3, 1, 5, 1, 4, 0]], [{4, 6}, [2, 0, 4, 1, 6, 2], [2, 1, 4, 1, 6, 0]], [{4, 6}, [1, 0, 4, 1, 7, 2], [1, 1, 4, 1, 7, 0]], [{4, 6}, [1, 0, 5, 1, 6, 2], [1, 1, 5, 1, 6, 0]], [{4, 6}, [2, 0, 2, 1, 8, 2], [2, 1, 2, 1, 8, 0]], [{4, 6}, [3, 0, 1, 1, 8, 2], [3, 1, 1, 1, 8, 0]], [{4, 6}, [4, 0, 1, 1, 7, 2], [4, 1, 1, 1, 7, 0]], [{4, 6}, [4, 0, 6, 1, 1, 3], [4, 1, 6, 1, 1, 1]], [{4, 6}, [2, 0, 3, 1, 7, 2], [2, 1, 3, 1, 7, 0]], [{4, 6}, [3, 0, 2, 1, 7, 2], [3, 1, 2, 1, 7, 0]], [{4, 6}, [3, 0, 8, 1, 0, 3], [3, 1, 8, 1, 0, 1]], [{4, 6}, [2, 0, 9, 1, 0, 3], [2, 1, 9, 1, 0, 1]], [{4, 6}, [5, 0, 6, 1, 0, 3], [5, 1, 6, 1, 0, 1]], [{4, 6}, [3, 0, 6, 1, 1, 4], [3, 1, 6, 1, 1, 2]], [{4, 6}, [5, 0, 5, 1, 1, 3], [5, 1, 5, 1, 1, 1]], [{4, 6}, [5, 0, 4, 1, 1, 4], [5, 1, 4, 1, 1, 2]], [{4, 6}, [4, 0, 5, 1, 1, 4], [4, 1, 5, 1, 1, 2]], [{4, 6}, [5, 0, 3, 1, 4, 2], [5, 1, 3, 1, 4, 0]]} [[[{1, 2}, [4, 1, 1, 0, 1, 0], [3, 1, 2, 0, 0, 0]], [{1, 3}, [4, 0, 2, 0, 1, 0], [3, 1, 2, 0, 0, 0]], [{2, 3}, [3, 1, 2, 0, 1, 0], [3, 1, 2, 0, 0, 0]], [{2, 4}, [3, 1, 1, 1, 1, 0], [3, 1, 2, 0, 0, 0]], [{2, 5}, [3, 1, 1, 0, 2, 0], [3, 1, 2, 0, 0, 0]], [{2, 6}, [3, 1, 1, 0, 1, 1], [3, 1, 2, 0, 0, 0]], [{3, 4}, [3, 0, 2, 1, 1, 0], [3, 1, 2, 0, 0, 0]], [{3, 5}, [3, 0, 2, 0, 2, 0], [3, 1, 2, 0, 0, 0]], [{3, 6}, [3, 0, 2, 0, 1, 1], [3, 1, 2, 0, 0, 0]]], [ [{1, 2}, [3, 1, 4, 0, 0, 1], [2, 1, 4, 1, 0, 0]], [{1, 2}, [4, 1, 3, 1, 0, 0], [3, 2, 3, 0, 0, 0]], [{1, 2}, [4, 1, 3, 0, 0, 1], [3, 1, 3, 1, 0, 0]], [{1, 2}, [6, 1, 1, 0, 0, 1], [5, 1, 1, 1, 0, 0]], [{1, 2}, [3, 1, 4, 1, 0, 0], [2, 2, 4, 0, 0, 0]], [{1, 2}, [6, 1, 1, 0, 1, 0], [5, 1, 2, 0, 0, 0]], [{1, 3}, [3, 1, 1, 3, 0, 1], [2, 1, 2, 3, 0, 0]], [{1, 3}, [4, 2, 1, 1, 0, 1], [3, 2, 2, 1, 0, 0]], [{1, 3}, [3, 2, 1, 2, 0, 1], [2, 2, 2, 2, 0, 0]], [{1, 3}, [6, 0, 2, 0, 1, 0], [5, 1, 2, 0, 0, 0]], [{1, 4}, [4, 0, 3, 1, 0, 1], [3, 1, 3, 1, 0, 0]], [{1, 4}, [3, 0, 4, 1, 0, 1], [2, 1, 4, 1, 0, 0]], [{1, 4}, [6, 0, 1, 1, 0, 1], [5, 1, 1, 1, 0, 0]], [{2, 3}, [5, 1, 2, 0, 0, 1], [5, 1, 1, 1, 0, 0]], [{2, 3}, [5, 1, 2, 0, 1, 0], [5, 1, 2, 0, 0, 0]], [{2, 3}, [2, 3, 1, 2, 0, 1], [2, 2, 2, 2, 0, 0]], [{2, 3}, [2, 1, 5, 1, 0, 0], [2, 2, 4, 0, 0, 0]], [{2, 3}, [3, 1, 4, 1, 0, 0], [3, 2, 3, 0, 0, 0]], [{2, 3}, [2, 2, 1, 3, 0, 1], [2, 1, 2, 3, 0, 0]], [{2, 3}, [2, 1, 5, 0, 0, 1], [2, 1, 4, 1, 0, 0]], [{2, 3}, [3, 1, 4, 0, 0, 1], [3, 1, 3, 1, 0, 0]], [{2, 3}, [3, 3, 1, 1, 0, 1], [3, 2, 2, 1, 0, 0]], [{2, 4}, [3, 1, 3, 1, 0, 1], [3, 1, 3, 1, 0, 0]], [{2, 4}, [3, 1, 3, 2, 0, 0], [3, 2, 3, 0, 0, 0]], [{2, 4}, [5, 1, 1, 1, 1, 0], [5, 1, 2, 0, 0, 0]], [{2, 4}, [2, 1, 4, 1, 0, 1], [2, 1, 4, 1, 0, 0]], [{2, 4}, [2, 1, 4, 2, 0, 0], [2, 2, 4, 0, 0, 0]], [{2, 4}, [5, 1, 1, 1, 0, 1], [5, 1, 1, 1, 0, 0]], [{2, 5}, [2, 1, 4, 1, 1, 0], [2, 2, 4, 0, 0, 0]], [{2, 5}, [2, 1, 4, 0, 1, 1], [2, 1, 4, 1, 0, 0]], [{2, 5}, [5, 1, 1, 0, 2, 0], [5, 1, 2, 0, 0, 0]], [{2, 5}, [3, 1, 3, 1, 1, 0], [3, 2, 3, 0, 0, 0]], [{2, 5}, [5, 1, 1, 0, 1, 1], [5, 1, 1, 1, 0, 0]], [{2, 5}, [3, 1, 3, 0, 1, 1], [3, 1, 3, 1, 0, 0]], [{2, 6}, [3, 1, 3, 0, 0, 2], [3, 1, 3, 1, 0, 0]], [{2, 6}, [3, 1, 3, 1, 0, 1], [3, 2, 3, 0, 0, 0]], [{2, 6}, [5, 1, 1, 0, 1, 1], [5, 1, 2, 0, 0, 0]], [{2, 6}, [2, 1, 4, 0, 0, 2], [2, 1, 4, 1, 0, 0]], [{2, 6}, [2, 1, 4, 1, 0, 1], [2, 2, 4, 0, 0, 0]], [{2, 6}, [5, 1, 1, 0, 0, 2], [5, 1, 1, 1, 0, 0]], [{3, 4}, [3, 2, 1, 2, 0, 1], [3, 2, 2, 1, 0, 0]], [{3, 4}, [3, 0, 4, 1, 0, 1], [3, 1, 3, 1, 0, 0]], [{3, 4}, [2, 1, 1, 4, 0, 1], [2, 1, 2, 3, 0, 0]], [{3, 4}, [2, 2, 1, 3, 0, 1], [2, 2, 2, 2, 0, 0]], [{3, 4}, [5, 0, 2, 1, 1, 0], [5, 1, 2, 0, 0, 0]], [{3, 4}, [5, 0, 2, 1, 0, 1], [5, 1, 1, 1, 0, 0]], [{3, 4}, [2, 0, 5, 1, 0, 1], [2, 1, 4, 1, 0, 0]], [{3, 5}, [3, 2, 1, 1, 1, 1], [3, 2, 2, 1, 0, 0]], [{3, 5}, [2, 2, 1, 2, 1, 1], [2, 2, 2, 2, 0, 0]], [{3, 5}, [5, 0, 2, 0, 2, 0], [5, 1, 2, 0, 0, 0]], [{3, 5}, [2, 1, 1, 3, 1, 1], [2, 1, 2, 3, 0, 0]], [{3, 6}, [5, 0, 2, 0, 1, 1], [5, 1, 2, 0, 0, 0]], [{3, 6}, [3, 2, 1, 1, 0, 2], [3, 2, 2, 1, 0, 0]], [{3, 6}, [2, 2, 1, 2, 0, 2], [2, 2, 2, 2, 0, 0]], [{3, 6}, [2, 1, 1, 3, 0, 2], [2, 1, 2, 3, 0, 0]], [{4, 5}, [5, 0, 1, 1, 1, 1], [5, 1, 1, 1, 0, 0]], [{4, 5}, [3, 0, 3, 1, 1, 1], [3, 1, 3, 1, 0, 0]], [{4, 5}, [2, 0, 4, 1, 1, 1], [2, 1, 4, 1, 0, 0]], [{4, 6}, [3, 0, 3, 1, 0, 2], [3, 1, 3, 1, 0, 0]], [{4, 6}, [2, 0, 4, 1, 0, 2], [2, 1, 4, 1, 0, 0]], [{4, 6}, [5, 0, 1, 1, 0, 2], [5, 1, 1, 1, 0, 0]]], [ [{1, 2}, [7, 1, 2, 1, 0, 0], [6, 2, 2, 0, 0, 0]], [{1, 2}, [6, 1, 3, 0, 1, 0], [5, 1, 4, 0, 0, 0]], [{1, 2}, [7, 1, 2, 0, 0, 1], [6, 1, 2, 1, 0, 0]], [{1, 2}, [6, 1, 2, 1, 0, 1], [5, 1, 2, 2, 0, 0]], [{1, 2}, [5, 1, 4, 1, 0, 0], [4, 2, 4, 0, 0, 0]], [{1, 2}, [4, 1, 3, 0, 2, 1], [3, 1, 3, 1, 2, 0]], [{1, 2}, [4, 1, 2, 0, 3, 1], [3, 1, 2, 1, 3, 0]], [{1, 2}, [5, 1, 4, 0, 0, 1], [4, 1, 4, 1, 0, 0]], [{1, 2}, [7, 1, 2, 0, 1, 0], [6, 1, 3, 0, 0, 0]], [{1, 2}, [6, 1, 3, 1, 0, 0], [5, 2, 3, 0, 0, 0]], [{1, 2}, [8, 1, 1, 0, 1, 0], [7, 1, 2, 0, 0, 0]], [{1, 2}, [4, 1, 4, 1, 0, 1], [3, 1, 4, 2, 0, 0]], [{1, 2}, [3, 1, 4, 0, 2, 1], [2, 1, 4, 1, 2, 0]], [{1, 2}, [3, 1, 6, 1, 0, 0], [2, 2, 6, 0, 0, 0]], [{1, 2}, [3, 1, 6, 0, 0, 1], [2, 1, 6, 1, 0, 0]], [{1, 2}, [4, 1, 5, 1, 0, 0], [3, 2, 5, 0, 0, 0]], [{1, 2}, [8, 1, 1, 0, 0, 1], [7, 1, 1, 1, 0, 0]], [{1, 2}, [4, 1, 0, 5, 1, 0], [3, 1, 1, 5, 0, 0]], [{1, 2}, [7, 1, 1, 1, 0, 1], [6, 1, 1, 2, 0, 0]], [{1, 2}, [6, 1, 3, 0, 0, 1], [5, 1, 3, 1, 0, 0]], [{1, 2}, [3, 1, 3, 0, 3, 1], [2, 1, 3, 1, 3, 0]], [{1, 2}, [4, 1, 5, 0, 0, 1], [3, 1, 5, 1, 0, 0]], [{1, 2}, [6, 1, 0, 3, 1, 0], [5, 1, 1, 3, 0, 0]], [{1, 3}, [3, 2, 1, 4, 0, 1], [2, 2, 2, 4, 0, 0]], [{1, 3}, [3, 3, 1, 3, 0, 1], [2, 3, 2, 3, 0, 0]], [{1, 3}, [5, 2, 1, 2, 0, 1], [4, 2, 2, 2, 0, 0]], [{1, 3}, [5, 1, 1, 3, 0, 1], [4, 1, 2, 3, 0, 0]], [{1, 3}, [4, 4, 1, 1, 0, 1], [3, 4, 2, 1, 0, 0]], [{1, 3}, [5, 3, 1, 1, 0, 1], [4, 3, 2, 1, 0, 0]], [{1, 3}, [6, 2, 1, 1, 0, 1], [5, 2, 2, 1, 0, 0]], [{1, 3}, [4, 1, 1, 4, 0, 1], [3, 1, 2, 4, 0, 0]], [{1, 3}, [6, 0, 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0, 6, 1, 0], [3, 1, 1, 5, 0, 0]], [{2, 4}, [2, 1, 3, 1, 3, 1], [2, 1, 3, 1, 3, 0]], [{2, 4}, [5, 1, 3, 2, 0, 0], [5, 2, 3, 0, 0, 0]], [{2, 4}, [3, 1, 5, 1, 0, 1], [3, 1, 5, 1, 0, 0]], [{2, 4}, [7, 1, 1, 1, 1, 0], [7, 1, 2, 0, 0, 0]], [{2, 4}, [5, 1, 3, 1, 1, 0], [5, 1, 4, 0, 0, 0]], [{2, 4}, [6, 1, 2, 1, 1, 0], [6, 1, 3, 0, 0, 0]], [{2, 4}, [2, 1, 4, 1, 2, 1], [2, 1, 4, 1, 2, 0]], [{2, 4}, [6, 1, 2, 2, 0, 0], [6, 2, 2, 0, 0, 0]], [{2, 4}, [5, 1, 3, 1, 0, 1], [5, 1, 3, 1, 0, 0]], [{2, 4}, [4, 1, 4, 2, 0, 0], [4, 2, 4, 0, 0, 0]], [{2, 4}, [6, 1, 2, 1, 0, 1], [6, 1, 2, 1, 0, 0]], [{2, 4}, [7, 1, 1, 1, 0, 1], [7, 1, 1, 1, 0, 0]], [{2, 4}, [2, 1, 6, 2, 0, 0], [2, 2, 6, 0, 0, 0]], [{2, 4}, [3, 1, 5, 2, 0, 0], [3, 2, 5, 0, 0, 0]], [{2, 4}, [4, 1, 4, 1, 0, 1], [4, 1, 4, 1, 0, 0]], [{2, 4}, [6, 1, 1, 2, 0, 1], [6, 1, 1, 2, 0, 0]], [{2, 4}, [3, 1, 3, 1, 2, 1], [3, 1, 3, 1, 2, 0]], [{2, 4}, [3, 1, 4, 2, 0, 1], [3, 1, 4, 2, 0, 0]], [{2, 4}, [3, 1, 2, 1, 3, 1], [3, 1, 2, 1, 3, 0]], [{2, 4}, [5, 1, 2, 2, 0, 1], [5, 1, 2, 2, 0, 0]], [{2, 4}, [5, 1, 0, 4, 1, 0], [5, 1, 1, 3, 0, 0]], [{2, 5}, [5, 1, 3, 0, 1, 1], [5, 1, 3, 1, 0, 0]], [{2, 5}, [6, 1, 2, 1, 1, 0], [6, 2, 2, 0, 0, 0]], [{2, 5}, [3, 1, 5, 1, 1, 0], [3, 2, 5, 0, 0, 0]], [{2, 5}, [6, 1, 1, 1, 1, 1], [6, 1, 1, 2, 0, 0]], [{2, 5}, [6, 1, 2, 0, 2, 0], [6, 1, 3, 0, 0, 0]], [{2, 5}, [4, 1, 4, 1, 1, 0], [4, 2, 4, 0, 0, 0]], [{2, 5}, [2, 1, 6, 1, 1, 0], [2, 2, 6, 0, 0, 0]], [{2, 5}, [3, 1, 0, 5, 2, 0], [3, 1, 1, 5, 0, 0]], [{2, 5}, [7, 1, 1, 0, 2, 0], [7, 1, 2, 0, 0, 0]], [{2, 5}, [5, 1, 0, 3, 2, 0], [5, 1, 1, 3, 0, 0]], [{2, 5}, [3, 1, 2, 0, 4, 1], [3, 1, 2, 1, 3, 0]], [{2, 5}, [2, 1, 3, 0, 4, 1], [2, 1, 3, 1, 3, 0]], [{2, 5}, [5, 1, 2, 1, 1, 1], [5, 1, 2, 2, 0, 0]], [{2, 5}, [5, 1, 3, 1, 1, 0], [5, 2, 3, 0, 0, 0]], [{2, 5}, [3, 1, 5, 0, 1, 1], [3, 1, 5, 1, 0, 0]], [{2, 5}, [3, 1, 3, 0, 3, 1], [3, 1, 3, 1, 2, 0]], [{2, 5}, [4, 1, 4, 0, 1, 1], [4, 1, 4, 1, 0, 0]], [{2, 5}, [3, 1, 4, 1, 1, 1], [3, 1, 4, 2, 0, 0]], [{2, 5}, [2, 1, 6, 0, 1, 1], [2, 1, 6, 1, 0, 0]], [{2, 5}, [2, 1, 4, 0, 3, 1], [2, 1, 4, 1, 2, 0]], [{2, 5}, [5, 1, 3, 0, 2, 0], [5, 1, 4, 0, 0, 0]], [{2, 5}, [7, 1, 1, 0, 1, 1], [7, 1, 1, 1, 0, 0]], [{2, 5}, [6, 1, 2, 0, 1, 1], [6, 1, 2, 1, 0, 0]], [{2, 6}, [5, 1, 2, 1, 0, 2], [5, 1, 2, 2, 0, 0]], [{2, 6}, [2, 1, 3, 0, 3, 2], [2, 1, 3, 1, 3, 0]], [{2, 6}, [3, 1, 4, 1, 0, 2], [3, 1, 4, 2, 0, 0]], [{2, 6}, [5, 1, 3, 0, 1, 1], [5, 1, 4, 0, 0, 0]], [{2, 6}, [6, 1, 1, 1, 0, 2], [6, 1, 1, 2, 0, 0]], [{2, 6}, [2, 1, 6, 0, 0, 2], [2, 1, 6, 1, 0, 0]], [{2, 6}, [6, 1, 2, 1, 0, 1], [6, 2, 2, 0, 0, 0]], [{2, 6}, [3, 1, 3, 0, 2, 2], [3, 1, 3, 1, 2, 0]], [{2, 6}, [5, 1, 3, 1, 0, 1], [5, 2, 3, 0, 0, 0]], [{2, 6}, [4, 1, 4, 1, 0, 1], [4, 2, 4, 0, 0, 0]], [{2, 6}, [5, 1, 0, 3, 1, 1], [5, 1, 1, 3, 0, 0]], [{2, 6}, [4, 1, 4, 0, 0, 2], [4, 1, 4, 1, 0, 0]], [{2, 6}, [3, 1, 5, 0, 0, 2], [3, 1, 5, 1, 0, 0]], [{2, 6}, [2, 1, 4, 0, 2, 2], [2, 1, 4, 1, 2, 0]], [{2, 6}, [3, 1, 2, 0, 3, 2], [3, 1, 2, 1, 3, 0]], [{2, 6}, [7, 1, 1, 0, 0, 2], [7, 1, 1, 1, 0, 0]], [{2, 6}, [3, 1, 5, 1, 0, 1], [3, 2, 5, 0, 0, 0]], [{2, 6}, [6, 1, 2, 0, 0, 2], [6, 1, 2, 1, 0, 0]], [{2, 6}, [6, 1, 2, 0, 1, 1], [6, 1, 3, 0, 0, 0]], [{2, 6}, [3, 1, 0, 5, 1, 1], [3, 1, 1, 5, 0, 0]], [{2, 6}, [7, 1, 1, 0, 1, 1], [7, 1, 2, 0, 0, 0]], [{2, 6}, [2, 1, 6, 1, 0, 1], [2, 2, 6, 0, 0, 0]], [{2, 6}, [5, 1, 3, 0, 0, 2], [5, 1, 3, 1, 0, 0]], [{3, 4}, [5, 0, 3, 2, 0, 1], [5, 1, 2, 2, 0, 0]], [{3, 4}, [4, 2, 1, 3, 0, 1], [4, 2, 2, 2, 0, 0]], [{3, 4}, [2, 0, 5, 1, 2, 1], [2, 1, 4, 1, 2, 0]], [{3, 4}, [6, 0, 3, 1, 1, 0], [6, 1, 3, 0, 0, 0]], [{3, 4}, [6, 0, 2, 2, 0, 1], [6, 1, 1, 2, 0, 0]], [{3, 4}, [5, 0, 1, 4, 1, 0], [5, 1, 1, 3, 0, 0]], [{3, 4}, [4, 3, 1, 2, 0, 1], [4, 3, 2, 1, 0, 0]], [{3, 4}, [3, 0, 3, 1, 3, 1], [3, 1, 2, 1, 3, 0]], [{3, 4}, [3, 1, 1, 5, 0, 1], [3, 1, 2, 4, 0, 0]], [{3, 4}, [7, 0, 2, 1, 0, 1], [7, 1, 1, 1, 0, 0]], [{3, 4}, [7, 0, 2, 1, 1, 0], [7, 1, 2, 0, 0, 0]], [{3, 4}, [4, 1, 1, 4, 0, 1], [4, 1, 2, 3, 0, 0]], [{3, 4}, [3, 3, 1, 3, 0, 1], [3, 3, 2, 2, 0, 0]], [{3, 4}, [5, 1, 1, 3, 0, 1], [5, 1, 2, 2, 0, 0]], [{3, 4}, [2, 0, 4, 1, 3, 1], [2, 1, 3, 1, 3, 0]], [{3, 4}, [3, 0, 6, 1, 0, 1], [3, 1, 5, 1, 0, 0]], [{3, 4}, [3, 0, 4, 1, 2, 1], [3, 1, 3, 1, 2, 0]], [{3, 4}, [3, 2, 1, 4, 0, 1], [3, 2, 2, 3, 0, 0]], [{3, 4}, [2, 3, 1, 4, 0, 1], [2, 3, 2, 3, 0, 0]], [{3, 4}, [3, 0, 5, 2, 0, 1], [3, 1, 4, 2, 0, 0]], [{3, 4}, [2, 2, 1, 5, 0, 1], [2, 2, 2, 4, 0, 0]], [{3, 4}, [2, 4, 1, 3, 0, 1], [2, 4, 2, 2, 0, 0]], [{3, 4}, [6, 0, 3, 1, 0, 1], [6, 1, 2, 1, 0, 0]], [{3, 4}, [3, 0, 1, 6, 1, 0], [3, 1, 1, 5, 0, 0]], [{3, 4}, [4, 0, 5, 1, 0, 1], [4, 1, 4, 1, 0, 0]], [{3, 4}, [2, 0, 7, 1, 0, 1], [2, 1, 6, 1, 0, 0]], [{3, 4}, [5, 0, 4, 1, 1, 0], [5, 1, 4, 0, 0, 0]], [{3, 4}, [5, 0, 4, 1, 0, 1], [5, 1, 3, 1, 0, 0]], [{3, 4}, [3, 4, 1, 2, 0, 1], [3, 4, 2, 1, 0, 0]], [{3, 4}, [5, 2, 1, 2, 0, 1], [5, 2, 2, 1, 0, 0]], [{3, 4}, [2, 1, 1, 6, 0, 1], [2, 1, 2, 5, 0, 0]], [{3, 5}, [3, 2, 1, 3, 1, 1], [3, 2, 2, 3, 0, 0]], [{3, 5}, [2, 3, 1, 3, 1, 1], [2, 3, 2, 3, 0, 0]], [{3, 5}, [4, 3, 1, 1, 1, 1], [4, 3, 2, 1, 0, 0]], [{3, 5}, [3, 1, 1, 4, 1, 1], [3, 1, 2, 4, 0, 0]], [{3, 5}, [5, 2, 1, 1, 1, 1], [5, 2, 2, 1, 0, 0]], [{3, 5}, [3, 0, 1, 5, 2, 0], [3, 1, 1, 5, 0, 0]], [{3, 5}, [5, 0, 4, 0, 2, 0], [5, 1, 4, 0, 0, 0]], [{3, 5}, [4, 1, 1, 3, 1, 1], [4, 1, 2, 3, 0, 0]], [{3, 5}, [4, 2, 1, 2, 1, 1], [4, 2, 2, 2, 0, 0]], [{3, 5}, [5, 1, 1, 2, 1, 1], [5, 1, 2, 2, 0, 0]], [{3, 5}, [7, 0, 2, 0, 2, 0], [7, 1, 2, 0, 0, 0]], [{3, 5}, [6, 0, 3, 0, 2, 0], [6, 1, 3, 0, 0, 0]], [{3, 5}, [2, 4, 1, 2, 1, 1], [2, 4, 2, 2, 0, 0]], [{3, 5}, [3, 3, 1, 2, 1, 1], [3, 3, 2, 2, 0, 0]], [{3, 5}, [2, 2, 1, 4, 1, 1], [2, 2, 2, 4, 0, 0]], [{3, 5}, [2, 1, 1, 5, 1, 1], [2, 1, 2, 5, 0, 0]], [{3, 5}, [3, 4, 1, 1, 1, 1], [3, 4, 2, 1, 0, 0]], [{3, 5}, [5, 0, 1, 3, 2, 0], [5, 1, 1, 3, 0, 0]], [{3, 6}, [2, 1, 1, 5, 0, 2], [2, 1, 2, 5, 0, 0]], [{3, 6}, [3, 2, 1, 3, 0, 2], [3, 2, 2, 3, 0, 0]], [{3, 6}, [3, 0, 1, 5, 1, 1], [3, 1, 1, 5, 0, 0]], [{3, 6}, [4, 1, 1, 3, 0, 2], [4, 1, 2, 3, 0, 0]], [{3, 6}, [2, 3, 1, 3, 0, 2], [2, 3, 2, 3, 0, 0]], [{3, 6}, [3, 3, 1, 2, 0, 2], [3, 3, 2, 2, 0, 0]], [{3, 6}, [7, 0, 2, 0, 1, 1], [7, 1, 2, 0, 0, 0]], [{3, 6}, [3, 4, 1, 1, 0, 2], [3, 4, 2, 1, 0, 0]], [{3, 6}, [4, 3, 1, 1, 0, 2], [4, 3, 2, 1, 0, 0]], [{3, 6}, [5, 2, 1, 1, 0, 2], [5, 2, 2, 1, 0, 0]], [{3, 6}, [5, 0, 4, 0, 1, 1], [5, 1, 4, 0, 0, 0]], [{3, 6}, [6, 0, 3, 0, 1, 1], [6, 1, 3, 0, 0, 0]], [{3, 6}, [5, 1, 1, 2, 0, 2], [5, 1, 2, 2, 0, 0]], [{3, 6}, [4, 2, 1, 2, 0, 2], [4, 2, 2, 2, 0, 0]], [{3, 6}, [2, 4, 1, 2, 0, 2], [2, 4, 2, 2, 0, 0]], [{3, 6}, [5, 0, 1, 3, 1, 1], [5, 1, 1, 3, 0, 0]], [{3, 6}, [3, 1, 1, 4, 0, 2], [3, 1, 2, 4, 0, 0]], [{3, 6}, [2, 2, 1, 4, 0, 2], [2, 2, 2, 4, 0, 0]], [{4, 5}, [2, 0, 4, 1, 3, 1], [2, 1, 4, 1, 2, 0]], [{4, 5}, [5, 0, 3, 1, 1, 1], [5, 1, 3, 1, 0, 0]], [{4, 5}, [6, 0, 2, 1, 1, 1], [6, 1, 2, 1, 0, 0]], [{4, 5}, [7, 0, 1, 1, 1, 1], [7, 1, 1, 1, 0, 0]], [{4, 5}, [5, 0, 2, 2, 1, 1], [5, 1, 2, 2, 0, 0]], [{4, 5}, [6, 0, 1, 2, 1, 1], [6, 1, 1, 2, 0, 0]], [{4, 5}, [4, 0, 4, 1, 1, 1], [4, 1, 4, 1, 0, 0]], [{4, 5}, [3, 0, 2, 1, 4, 1], [3, 1, 2, 1, 3, 0]], [{4, 5}, [3, 0, 3, 1, 3, 1], [3, 1, 3, 1, 2, 0]], [{4, 5}, [2, 0, 3, 1, 4, 1], [2, 1, 3, 1, 3, 0]], [{4, 5}, [3, 0, 4, 2, 1, 1], [3, 1, 4, 2, 0, 0]], [{4, 5}, [2, 0, 6, 1, 1, 1], [2, 1, 6, 1, 0, 0]], [{4, 5}, [3, 0, 5, 1, 1, 1], [3, 1, 5, 1, 0, 0]], [{4, 6}, [5, 0, 2, 2, 0, 2], [5, 1, 2, 2, 0, 0]], [{4, 6}, [6, 0, 1, 2, 0, 2], [6, 1, 1, 2, 0, 0]], [{4, 6}, [4, 0, 4, 1, 0, 2], [4, 1, 4, 1, 0, 0]], [{4, 6}, [3, 0, 2, 1, 3, 2], [3, 1, 2, 1, 3, 0]], [{4, 6}, [7, 0, 1, 1, 0, 2], [7, 1, 1, 1, 0, 0]], [{4, 6}, [6, 0, 2, 1, 0, 2], [6, 1, 2, 1, 0, 0]], [{4, 6}, [2, 0, 6, 1, 0, 2], [2, 1, 6, 1, 0, 0]], [{4, 6}, [2, 0, 4, 1, 2, 2], [2, 1, 4, 1, 2, 0]], [{4, 6}, [2, 0, 3, 1, 3, 2], [2, 1, 3, 1, 3, 0]], [{4, 6}, [3, 0, 5, 1, 0, 2], [3, 1, 5, 1, 0, 0]], [{4, 6}, [5, 0, 3, 1, 0, 2], [5, 1, 3, 1, 0, 0]], [{4, 6}, [3, 0, 3, 1, 2, 2], [3, 1, 3, 1, 2, 0]], [{4, 6}, [3, 0, 4, 2, 0, 2], [3, 1, 4, 2, 0, 0]]], [ [{1, 3}, [3, 0, 1, 7, 0, 1], [2, 0, 2, 7, 0, 0]], [{1, 3}, [5, 0, 1, 5, 0, 1], [4, 0, 2, 5, 0, 0]], [{1, 3}, [4, 0, 1, 6, 0, 1], [3, 0, 2, 6, 0, 0]], [{2, 3}, [2, 1, 1, 7, 0, 1], [2, 0, 2, 7, 0, 0]], [{2, 3}, [4, 1, 1, 5, 0, 1], [4, 0, 2, 5, 0, 0]], [{2, 3}, [3, 1, 1, 6, 0, 1], [3, 0, 2, 6, 0, 0]], [{3, 4}, [4, 0, 1, 6, 0, 1], [4, 0, 2, 5, 0, 0]], [{3, 4}, [3, 0, 1, 7, 0, 1], [3, 0, 2, 6, 0, 0]], [{3, 4}, [2, 0, 1, 8, 0, 1], [2, 0, 2, 7, 0, 0]], [{3, 5}, [4, 0, 1, 5, 1, 1], [4, 0, 2, 5, 0, 0]], [{3, 5}, [3, 0, 1, 6, 1, 1], [3, 0, 2, 6, 0, 0]], [{3, 5}, [2, 0, 1, 7, 1, 1], [2, 0, 2, 7, 0, 0]], [{3, 6}, [2, 0, 1, 7, 0, 2], [2, 0, 2, 7, 0, 0]], [{3, 6}, [3, 0, 1, 6, 0, 2], [3, 0, 2, 6, 0, 0]], [{3, 6}, [4, 0, 1, 5, 0, 2], [4, 0, 2, 5, 0, 0]]], [ [{1, 2}, [4, 1, 0, 7, 1, 0], [3, 1, 1, 7, 0, 0]], [{1, 2}, [9, 1, 1, 1, 0, 1], [8, 1, 1, 2, 0, 0]], [{1, 2}, [8, 1, 3, 1, 0, 0], [7, 2, 3, 0, 0, 0]], [{1, 2}, [2, 1, 4, 0, 5, 1], [1, 1, 4, 1, 5, 0]], [{1, 2}, 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