#include<stdio.h>
#include<stdlib.h>
#include<time.h>
int a[10][10]={{0,0,0,0,0,0,0,0,0,0},
{0,5, 3, 0, 0, 7, 0, 0, 0, 0},
{0,6, 0, 0, 1, 9, 5, 0, 0, 0},
{0,0, 9, 8, 0, 0, 0, 0, 6, 0},
{0,8, 0, 0, 0, 6, 0, 0, 0, 3},
{0,4, 0, 0, 8, 0, 3, 0, 0, 1},
{0,7, 0, 0, 0, 2, 0, 0, 0, 6},
{0,0, 6, 0, 0, 0, 0, 2, 8, 0},
{0,0, 0, 0, 4, 1, 9, 0, 0, 5},
{0,0, 0, 0, 0, 8, 0, 0, 7, 9}};;
int e,f,g;
void format(int s[][10])
{
    printf("-------------------------\n");
    for(int i=1;i<10;i++)
    {
    	printf("| ");
        for(int j=1;j<10;j++)
        {
        	
        	printf("%d ",s[i][j]);
        	if(j%3==0) printf("| ");
		}
		printf("\n");
		if(i%3==0) printf("-------------------------\n");
    }
}
bool ok(int x,int y,int s[][10])
{
	int b=s[x][y];
	int a1=x,a2=y;
	for(int j=1;j<=9;j++)
	{
		if(j==y) continue;
		if(s[x][j]==b)
		{
			e=0;f=x;g=b;
			return false;
		}
	}
	for(int i=1;i<=9;i++)
	{
		if(i==x) continue;
		if(s[i][y]==b)
		{
			e=1;f=y;g=b;
			return false;
		}
	}
	x=(x-1)/3*3;
	y=(y-1)/3*3;
	int block;
	if(x+1==1)
	{
		if(y+1==1) block=1;
		else if(y+1==4) block=2;
		else if(y+1==7) block=3;
	}
	else if(x+1==4)
	{
		if(y+1==1) block=4;
		else if(y+1==4) block=5;
		else if(y+1==7) block=6;
	}
	else if(x+1==7)
	{
		if(y+1==1) block=7;
		else if(y+1==4) block=8;
		else if(y+1==7) block=9;
	}
	for(int i=x+1;i<x+4;i++)
    {
        for(int j=y+1;j<y+4;j++)
        {
        	if(a1==i&&a2==j) continue;
            if(s[i][j]==b)
            {
            	e=2;f=block;g=b;
            	return false;
			}
        }
    }
    return true;
}
int main()
{
	int d=1;
	srand(time(NULL));
    printf("The original Sudoku matrix:\n");
    format(a);
    for(int i=1;i<=9;i++)
     for(int j=1;j<=9;j++)
     {
     	if(a[i][j])
     	{
     		if(!ok(i,j,a))
			 {
			 	printf("False:Invalid initial Sudoku matrix!\n");
			 	if(e==1) printf("The number %d in the col %d has been used!",g,f);
				else if(e==0) printf("The number %d in the row %d has been used!",g,f);
				else if(e==2) printf("The number %d in the block %d has been used!",g,f);
			 	return 0;
			 } 
		 }
	 }
	printf("True:Valid initial Sudoku matrix!\n");
    return 0;
}