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Peg Game Solver
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class Triangle5(object): | |
def __init__(self, missing): | |
# source, jumped, destination | |
self.jumps = [(0,1,3), | |
(0,2,5), | |
(1,3,6), | |
(1,4,8), | |
(2,4,7), | |
(2,5,9), | |
(3,1,0), | |
(3,4,5), | |
(3,6,10), | |
(3,7,12), | |
(4,7,11), | |
(4,8,13), | |
(5,4,3), | |
(5,8,12), | |
(5,9,14), | |
(6,3,1), | |
(6,7,8), | |
(7,4,2), | |
(7,8,9), | |
(8,4,1), | |
(8,7,6), | |
(9,5,2), | |
(9,8,7), | |
(10,6,3), | |
(10,11,12), | |
(11,7,4), | |
(11,12,13), | |
(12,7,3), | |
(12,8,5), | |
(12,11,10), | |
(12,13,14), | |
(13,8,4), | |
(13,12,11), | |
(14,9,5), | |
(14,13,12)] | |
self.pegs = set([0,1,2,3,4,5,6,7,8,9,10,11,12,13,14]) | |
self.pegs.remove(missing) | |
self.moves_made = [] | |
self.won = False | |
def can_move(self, move): | |
return (move[0] in self.pegs and | |
move[1] in self.pegs and | |
move[2] not in self.pegs) | |
def valid_moves(self): | |
return filter(self.can_move, self.jumps) | |
def make_move(self, move): | |
if self.can_move(move): | |
self.pegs.remove(move[0]) | |
self.pegs.remove(move[1]) | |
self.pegs.add(move[2]) | |
self.moves_made.append(move) | |
def undo(self): | |
move = self.moves_made.pop() | |
self.pegs.add(move[0]) | |
self.pegs.add(move[1]) | |
self.pegs.discard(move[2]) | |
def solve(self): | |
if self.won: | |
return | |
for move in self.valid_moves(): | |
self.make_move(move) | |
if len(self.pegs) == 1: | |
print self.moves_made | |
self.won = True | |
self.solve() | |
self.undo() | |
def val(self, n): | |
return "x " if n in self.pegs else "- " | |
def __str__(self): | |
return (" " + self.val(0) + "\n " + | |
self.val(1) + self.val(2) + "\n " + | |
self.val(3) + self.val(4) + self.val(5) + "\n " + | |
self.val(6) + self.val(7) + self.val(8) + self.val(9) + "\n " + | |
self.val(10) + self.val(11) + self.val(12) + self.val(13) + self.val(14)) | |
for i in range(0,5): | |
t = Triangle5(i) | |
print "Solution for start " + str(i) | |
t.solve() |
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A small bug in your code: in the jumps list, (0,2,5) is included but (5,2,0) is missing.