80 lines
2.2 KiB
Python
80 lines
2.2 KiB
Python
#!/usr/bin/env python3
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from random import randint, choice
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def dice_roll(sides, num):
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return sum(randint(1, sides) for i in range(num))
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def dice_mask(sides):
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mask = [0] * sides*2
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for a in range(1, sides+1):
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for b in range(1, sides+1):
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mask[a+b-1] += 1.0 / sides**2
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print(mask)
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return mask
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def monopoly(n, sides, itrs):
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board = [0] * n
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board[0] = 1
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mask = dice_mask(sides)
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for i in range(itrs):
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for p in range(n):
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for mv in range(len(mask)):
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if p+mv+1 < n:
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board[p + mv + 1] += board[p] * mask[mv]
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else:
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board[p + mv - n + 1] += board[p] * mask[mv]
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return [sq/sum(board) for sq in board]
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def move(board, p, sides, dicenum):
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roll = dice_roll(sides, dicenum)
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move.rolls.pop(0)
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move.rolls.append(roll)
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p += roll
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if p >= len(board):
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p -= len(board)
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return p
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def simulation(sqnum, sides, dnum, itrs):
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cc = (2, 17, 33)
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ch = (7, 22, 36)
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jail = 10
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goto_jail = 30
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railways = (5, 15, 25, 35)
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utilities = (12, 28)
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cards_chance = [0, jail, 11, 24, 39, 5, railways, railways, utilities, -3] + [None]*6
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cards_chest = [0, jail] + [None]*14
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board = [0] * sqnum
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board[0] = 1
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p = 0
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move.rolls = [0]*3
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for i in range(itrs):
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p = move(board, p, sides, dnum)
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if set(move.rolls) == {2} or p == goto_jail:
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p = jail
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elif p in cc + ch:
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card = choice(cards_chest if p in cc else cards_chance)
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if card is None:
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pass
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elif type(card) is tuple:
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if p > max(card):
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p = min(card)
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else:
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p = [sq for sq in card if sq >= p][0]
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elif card < 0:
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p += card
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if p in cc:
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card = choice(cards_chest)
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if card is not None:
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p = card
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else:
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p = card
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board[p] += 1
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return [float(sq)/sum(board) for sq in board]
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sides = 4
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board = simulation(40, sides, 2, 1000000)
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squares = [board.index(sq) for sq in sorted(board, reverse = True)]
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print(''.join(map(str, squares[:3])))
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