sudoku_simplified

import numpy as np
import copy
import sys
import time
import operator
from termcolor import colored
sys.setrecursionlimit(10000000)


def get_row(array, index):
    return array[index]

def get_column(array, index):
    return array[:, index]

def get_tile(array,index_row,index_column):
    row=index_row-(index_row-int(index_row/3)*3)
    column=index_column-(index_column-int(index_column/3)*3)
    return array[row:row+3, column:column+3]

def ifSolved(matrixIn,matrixOut):
    index = 80
    i = index // 9
    j = index % 9
    while matrixIn[i][j] != 0:
        index -= 1
        i = index // 9
        j = index % 9
    if matrixOut[i][j] != 0:
        return True
    else:
        return False

def solve(matrixIn,matrixOut,index):
    if index  == 81:
        print(matrixOut)
        return matrixOut
    i = index // 9
    j = index % 9
    if matrixIn[i][j] == 0 :
        for k in range(1,10):
            if ifSolved(matrixIn,matrixOut):
                return matrixOut
            if not (k in get_row(matrixOut,i) or k in get_column(matrixOut,j) or k in get_tile(matrixOut,i,j)):
                matrixOut[i][j] = k
                solve(matrixIn,matrixOut,index+1)
        matrixOut[i][j]=0
    else:
        return solve(matrixIn,matrixOut,index+1)

matrixIn=np.loadtxt("sudoku-task0.txt")
matrixOut=copy.copy(matrixIn)
matrixOutFinal=copy.copy(matrixIn)

print('Matrix of input')
print(matrixIn)
print('Answer')
t1 = time.clock()
matrixOutFinal = solve(matrixIn,matrixOut,0)
t2 = time.clock()
print str(t2-t1)+' '+'sec'