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sudoku.py
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sudoku.py
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# THREE GOLD STARS
# Sudoku [http://en.wikipedia.org/wiki/Sudoku]
# is a logic puzzle where a game
# is defined by a partially filled
# 9 x 9 square of digits where each square
# contains one of the digits 1,2,3,4,5,6,7,8,9.
# For this question we will generalize
# and simplify the game.
# Define a procedure, check_sudoku,
# that takes as input a square list
# of lists representing an n x n
# sudoku puzzle solution and returns the boolean
# True if the input is a valid
# sudoku square and returns the boolean False
# otherwise.
# A valid sudoku square satisfies these
# two properties:
# 1. Each column of the square contains
# each of the whole numbers from 1 to n exactly once.
# 2. Each row of the square contains each
# of the whole numbers from 1 to n exactly once.
# You may assume the the input is square and contains at
# least one row and column.
correct = [[1,2,3],
[2,3,1],
[3,1,2]]
incorrect = [[1,2,3,4],
[2,3,1,3],
[3,1,2,3],
[4,4,4,4]]
incorrect2 = [[1,2,3,4],
[2,3,1,4],
[4,1,2,3],
[3,4,1,2]]
incorrect3 = [[1,2,3,4,5],
[2,3,1,5,6],
[4,5,2,1,3],
[3,4,5,2,1],
[5,6,4,3,2]]
incorrect4 = [['a','b','c'],
['b','c','a'],
['c','a','b']]
incorrect5 = [ [1, 1.5],
[1.5, 1]]
def checkRow(l, c):
for elem in l:
for el in c:
if el not in elem:
return False;
return True;
def checkCol(l, c):
i = 0;
for e in l:
x = [];
for elem in l:
x.append(elem[i]);
for e in c:
if e not in x:
return False;
x = []
i = i+1;
return True;
def check_sudoku(l):
c = [];
i = 1;
while i<= len(l):
c.append(i);
i = i+1;
if checkRow(l,c):
if checkCol(l,c):
return True;
return False;
print check_sudoku(incorrect)
#>>> False
print check_sudoku(correct)
#>>> True
print check_sudoku(incorrect2)
#>>> False
print check_sudoku(incorrect3)
#>>> False
print check_sudoku(incorrect4)
#>>> False
print check_sudoku(incorrect5)
#>>> False