#include <stdio.h>

void print(int board[9][9]){
	printf("|-----------------------|\n");
	int i,j;
	for(i=0;i<9;i++){
		printf("| ");
		for(j=0;j<9;j++){
			if(board[i][j]==0) printf(". ");
			else printf("%d ",board[i][j]);
			if(j%3==2) printf("| ");
		}
		printf("\n");
		if(i%3==2){
			printf("|-----------------------|\n");
		}
	}
}

void check(int board[9][9]){
	printf("The original Sudoku matrix:\n");
	print(board);
	int i,j,k;
	
	//判断每一行数字是否重复 
	for(i=0;i<9;i++){
		int cnt[10]={}; //统计每个数字出现次数 
		for(j=0;j<9;j++){
			cnt[board[i][j]]++;
		}
		for(j=1;j<=9;j++){
			if(cnt[j]>1){
				printf("False:Invalid initial Sudoku matrix!\n");
				printf("The number %d in the col %d has been used!\n",j,i+1);
				return;
			}
		}
	}
	
	//判断每一列数字是否重复 
	for(i=0;i<9;i++){
		int cnt[10]={}; //统计每个数字出现次数
		for(j=0;j<9;j++){
			cnt[board[j][i]]++;
		}
		for(j=1;j<=9;j++){
			if(cnt[j]>1){
				printf("False:Invalid initial Sudoku matrix!\n");
				printf("The number %d in the row %d has been used!\n",j,i+1);
				return;
			}
		}
	}
	
	//判断每个九宫格数字是否重复 
	for(k=0;k<9;k++){
		int cnt[10]={}; //统计每个数字出现次数
		//起始行为k/3*3 
		for(i=k/3*3;i<k/3*3+3;i++){
			//起始列为k%3*3 	
			for(j=k%3*3;j<k%3*3+3;j++){
				cnt[board[i][j]]++;
			}
		}
		for(j=1;j<=9;j++){
			if(cnt[j]>1){
				printf("False:Invalid initial Sudoku matrix!\n");
				printf("The number %d in the block %d has been used!\n",j,k+1);
				return;
			}
		}
	}
	printf("True:Valid initial Sudoku matrix!\n");
}

int main(){
	int board0[9][9] = {{5, 3, 0, 0, 7, 0, 0, 0, 0}, 
						{6, 0, 0, 1, 9, 5, 0, 0, 0}, 
						{0, 9, 8, 0, 0, 0, 0, 6, 0}, 
						{8, 0, 0, 0, 6, 0, 0, 0, 3}, 
						{4, 0, 0, 8, 0, 3, 0, 0, 1}, 
						{7, 0, 0, 0, 2, 0, 0, 0, 6}, 
						{0, 6, 0, 0, 0, 0, 2, 8, 0}, 
						{0, 0, 0, 4, 1, 9, 0, 0, 5}, 
						{0, 0, 0, 0, 8, 0, 0, 7, 9}};
	int board1[9][9] = {{8, 3, 0, 0, 7, 0, 0, 0, 0}, 
						{6, 0, 0, 1, 9, 5, 0, 0, 0}, 
						{0, 9, 8, 0, 0, 0, 0, 6, 0}, 
						{8, 0, 0, 0, 6, 0, 0, 0, 3}, 
						{4, 0, 0, 8, 0, 3, 0, 0, 1}, 
						{7, 0, 0, 0, 2, 0, 0, 0, 6}, 
						{0, 6, 0, 0, 0, 0, 2, 8, 0}, 
						{0, 0, 0, 4, 1, 9, 0, 0, 5}, 
						{0, 0, 0, 0, 8, 0, 0, 7, 9}};
	check(board0);
	check(board1);
	
	return 0;
}