KenKen
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#!/usr/bin/env python | |
# References | |
# http://en.wikipedia.org/wiki/KenKen | |
# https://docs.python.org/2/library/itertools.html | |
import argparse | |
import itertools | |
def check_board(board, cardinality): | |
rows = [set() for i in xrange(cardinality)] | |
cols = [set() for i in xrange(cardinality)] | |
for position, item in enumerate(board): | |
row = position / cardinality | |
col = position % cardinality | |
rows[row].add(item) | |
cols[col].add(item) | |
for row in rows: | |
if len(row) != cardinality: | |
return False | |
for col in cols: | |
if len(col) != cardinality: | |
return False | |
return True | |
def get_boards(cardinality): | |
items = [] | |
for item in xrange(1, cardinality+1): | |
for i in xrange(cardinality): | |
items.append(item) | |
items = ''.join(map(str, items)) | |
return itertools.permutations(items, len(items)) | |
def get_num_combinations(cardinality, verbose=False): | |
results = { | |
True: 0, | |
False: 0, | |
} | |
seen = set() | |
for i, board in enumerate(get_boards(cardinality), 1): | |
if i % 1000000 == 0: | |
print "checking board %s ..." % i | |
if board in seen: | |
continue | |
result = check_board(board, cardinality) | |
results[result] += 1 | |
if verbose: | |
print board, result | |
seen.add(board) | |
return results[True], results[False] | |
def main(): | |
parser = argparse.ArgumentParser() | |
parser.add_argument('cardinality', | |
type=int, | |
help="Number of rows/columns (ie 6)") | |
parser.add_argument('-v', '--verbose', action='store_true') | |
args = parser.parse_args() | |
good, bad = get_num_combinations(args.cardinality, args.verbose) | |
print "Number of unique combinations for cardinality %s: %s" % (args.cardinality, | |
good + bad) | |
print "Good: %s" % good | |
print "Bad: %s" % bad | |
if __name__ == '__main__': | |
main() |
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