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/******************************************************************************
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Code, Compile, Run and Debug C++ program online.
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*******************************************************************************/
#include <bits/stdc++.h>
using namespace std;
#define UNASSIGNED 0
#define N 9
bool FindUnassignedLocation(int grid[N][N],int& row, int& col);
bool isSafe(int grid[N][N], int row,int col, int num);
bool SolveSudoku(int grid[N][N])
{
int row, col;
if (!FindUnassignedLocation(grid, row, col))
return true;
for (int num = 1; num <= 9; num++)
{
if (isSafe(grid, row, col, num))
{
grid[row][col] = num;
if (SolveSudoku(grid))
return true;
grid[row][col] = UNASSIGNED;
}
}
return false;
}
bool FindUnassignedLocation(int grid[N][N],int& row, int& col)
{
for (row = 0; row < N; row++)
for (col = 0; col < N; col++)
if (grid[row][col] == UNASSIGNED)
return true;
return false;
}
bool UsedInRow(int grid[N][N], int row, int num)
{
for (int col = 0; col < N; col++)
if (grid[row][col] == num)
return true;
return false;
}
bool UsedInCol(int grid[N][N], int col, int num)
{
for (int row = 0; row < N; row++)
if (grid[row][col] == num)
return true;
return false;
}
bool UsedInBox(int grid[N][N], int boxStartRow,int boxStartCol, int num)
{
for (int row = 0; row < 3; row++)
for (int col = 0; col < 3; col++)
if (grid[row + boxStartRow]
[col + boxStartCol] ==
num)
return true;
return false;
}
bool isSafe(int grid[N][N], int row,int col, int num)
{
return !UsedInRow(grid, row, num)
&& !UsedInCol(grid, col, num)
&& !UsedInBox(grid, row - row % 3,
col - col % 3, num)
&& grid[row][col] == UNASSIGNED;
}
void printGrid(int grid[N][N])
{
for (int row = 0; row < N; row++)
{
for (int col = 0; col < N; col++)
cout << grid[row][col] << " ";
cout << endl;
}
}
int main()
{
int grid[N][N] = { { 3, 0, 6, 5, 0, 8, 4, 0, 0 },
{ 5, 2, 0, 0, 0, 0, 0, 0, 0 },
{ 0, 8, 7, 0, 0, 0, 0, 3, 1 },
{ 0, 0, 3, 0, 1, 0, 0, 8, 0 },
{ 9, 0, 0, 8, 6, 3, 0, 0, 5 },
{ 0, 5, 0, 0, 9, 0, 6, 0, 0 },
{ 1, 3, 0, 0, 0, 0, 2, 5, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 7, 4 },
{ 0, 0, 5, 2, 0, 6, 3, 0, 0 } };
if (SolveSudoku(grid) == true)
printGrid(grid);
else
cout << "solution does't exists";
return 0;
}
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