import re import random import os # GLOBAL VARIABLES grid_size = 81 def isFull (grid): return grid.count('.') == 0 # can be used more purposefully def getTrialCelli(grid): for i in range(grid_size): if grid[i] == '.': print 'trial cell', i return i def isLegal(trialVal, trialCelli, grid): cols = 0 for eachSq in range(9): trialSq = [ x+cols for x in range(3) ] + [ x+9+cols for x in range(3) ] + [ x+18+cols for x in range(3) ] cols +=3 if cols in [9, 36]: cols +=18 if trialCelli in trialSq: for i in trialSq: if grid[i] != '.': if trialVal == int(grid[i]): print 'SQU', return False for eachRow in range(9): trialRow = [ x+(9*eachRow) for x in range (9) ] if trialCelli in trialRow: for i in trialRow: if grid[i] != '.': if trialVal == int(grid[i]): print 'ROW', return False for eachCol in range(9): trialCol = [ (9*x)+eachCol for x in range (9) ] if trialCelli in trialCol: for i in trialCol: if grid[i] != '.': if trialVal == int(grid[i]): print 'COL', return False print 'is legal', 'cell',trialCelli, 'set to ', trialVal return True def setCell(trialVal, trialCelli, grid): grid[trialCelli] = trialVal return grid def clearCell( trialCelli, grid ): grid[trialCelli] = '.' print 'clear cell', trialCelli return grid def hasSolution (grid): if isFull(grid): print '\nSOLVED' return True else: trialCelli = getTrialCelli(grid) trialVal = 1 solution_found = False while ( solution_found != True) and (trialVal < 10): print 'trial valu',trialVal, if isLegal(trialVal, trialCelli, grid): grid = setCell(trialVal, trialCelli, grid) if hasSolution (grid) == True: solution_found = True return True else: clearCell( trialCelli, grid ) print '++' trialVal += 1 return solution_found def main (): print 'hello' #sampleGrid = ['2', '1', '.', '.', '.', '.', '.', '.', '.', '.', '.', '.', '.', '.', '3', '1', '.', '.', '.', '.', '9', '4', '.', '.', '.', '.', '7', '8', '2', '5', '.', '.', '4', '.', '.', '.', '.', '.', '.', '6', '.', '.', '.', '.', '.', '1', '.', '.', '.', '.', '8', '2', '.', '.', '.', '7', '.', '.', '9', '.', '.', '.', '.', '.', '.', '.', '.', '3', '1', '.', '4', '.', '.', '.', '.', '.', '.', '.', '3', '8', '.'] #sampleGrid = ['.', '.', '3', '.', '2', '.', '6', '.', '.', '9', '.', '.', '3', '.', '5', '.', '.', '1', '.', '.', '1', '8', '.', '6', '4', '.', '.', '.', '.', '8', '1', '.', '2', '9', '.', '.', '7', '.', '.', '.', '.', '.', '.', '.', '8', '.', '.', '6', '7', '.', '8', '2', '.', '.', '.', '.', '2', '6', '.', '9', '5', '.', '.', '8', '.', '.', '2', '.', '3', '.', '.', '9', '.', '.', '5', '.', '1', '.', '3', '.', '.'] sampleGrid = ['.', '.', '.', '.', '.', '.', '.', '.', '.', '.', '.', '.', '.', '.', '.', '.', '.', '.', '.', '.', '.', '.', '.', '.', '.', '.', '.', '.', '.', '.', '.', '.', '.', '.', '.', '.', '.', '.', '4', '6', '2', '9', '5', '1', '8', '1', '9', '6', '3', '5', '8', '2', '7', '4', '4', '7', '3', '8', '9', '2', '6', '5', '1', '6', '8', '.', '.', '3', '1', '.', '4', '.', '.', '.', '.', '.', '.', '.', '3', '8', '.'] printGrid(sampleGrid, 0) if hasSolution (sampleGrid): printGrid(sampleGrid, 0) else: print 'NO SOLUTION' if __name__ == "__main__": main() def printGrid (grid, add_zeros): i = 0 for val in grid: if add_zeros == 1: if int(val) < 10: print '0'+str(val), else: print val, else: print val, i +=1 if i in [ (x*9)+3 for x in range(81)] +[ (x*9)+6 for x in range(81)] +[ (x*9)+9 for x in range(81)] : print '|', if add_zeros == 1: if i in [ 27, 54, 81]: print '\n---------+----------+----------+' elif i in [ (x*9) for x in range(81)]: print '\n' else: if i in [ 27, 54, 81]: print '\n------+-------+-------+' elif i in [ (x*9) for x in range(81)]: print '\n'
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