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Towers of Hanoi: Python2 implementation both recursively and iteratively using a Python list as our stack. Note that the well-known iterative solution with O(1) space requirements is not included here.
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#################################### | |
# Copyright Christopher Abiad, 2013 | |
# All Rights Reserved | |
#################################### | |
__author__ = 'Christopher Abiad' | |
def toh(num, src, dest, other): | |
if num <= 0: | |
return | |
elif num == 1: | |
print "move {s} to {d}".format(s=src, d=dest) | |
return | |
toh(num - 1, src, other, dest) | |
print "move {s} to {d}".format(s=src, d=dest) | |
toh(num - 1, other, dest, src) | |
def toh_iterative(num, src, dest, other): | |
class Move(object): | |
def __init__(self, num, src, dest, other): | |
self.num = num | |
self.src = src | |
self.dest = dest | |
self.other = other | |
if num == 0: | |
return | |
work = [Move(num, src, dest, other)] | |
while len(work) > 0: | |
item = work.pop() | |
if item.num == 1: | |
print "move {s} to {d}".format(s=item.src, d=item.dest) | |
else: | |
# Append new work to do in reverse order | |
# (first thing to do next is appended last) | |
work.append(Move(item.num - 1, item.other, item.dest, item.src)) | |
work.append(Move(1, item.src, item.dest, item.other)) | |
work.append(Move(item.num - 1, item.src, item.other, item.dest)) | |
if __name__ == '__main__': | |
print "recursive solution:" | |
toh(3, 's', 'd', 'o') | |
print "\niterative solution:" | |
toh_iterative(3, 's', 'd', 'o') |
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