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script to run simulations of settlers of catan board tile setups to find the average number of games played before encountering a duplicate arrangement.
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| import sys, random | |
| # board is defined as list of 19 land tiles: Forest (4), Sheep (4), Wheat (4), Brick (3), Rocks (3), Desert (1) | |
| def new_board(board=''): | |
| available = list('ffffsssswwwwbbbrrrd') | |
| for i in range(19): | |
| random.shuffle(available) | |
| board += available.pop() | |
| return board | |
| def rotate(board): | |
| return board[7] + board[3] + board[0] + board[12] + board[8] + board[4] + board[1] + board[16] + board[13] + board[9] + board[5] + board[2] + board[17] + board[14] + board[10] + board[6] + board[18] + board[15] + board[11] | |
| results = [] | |
| for test in range(int(sys.argv[1])): | |
| boards = {} | |
| while len(results) == test: | |
| permutations = [new_board()] | |
| for _ in range(5): | |
| permutations.append(rotate(permutations[-1])) | |
| if any(permutation in boards for permutation in permutations): | |
| results.append(len(boards)+1) | |
| boards[permutations[-1]] = 1 | |
| print 'test %s: duplicate board found after %s games. average: %s' % (test+1, len(boards), sum(results)/len(results)) |
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