matrix/file4.c

#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;
	
	//<2F>ж<EFBFBD>ÿһ<C3BF><D2BB><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ƿ<EFBFBD><C7B7>ظ<EFBFBD> 
	for(i=0;i<9;i++){
		int cnt[10]={}; //ͳ<><CDB3>ÿ<EFBFBD><C3BF><EFBFBD><EFBFBD><EFBFBD>ֳ<EFBFBD><D6B3>ִ<EFBFBD><D6B4><EFBFBD> 
		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;
			}
		}
	}
	
	//<2F>ж<EFBFBD>ÿһ<C3BF><D2BB><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ƿ<EFBFBD><C7B7>ظ<EFBFBD> 
	for(i=0;i<9;i++){
		int cnt[10]={}; //ͳ<><CDB3>ÿ<EFBFBD><C3BF><EFBFBD><EFBFBD><EFBFBD>ֳ<EFBFBD><D6B3>ִ<EFBFBD><D6B4><EFBFBD>
		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;
			}
		}
	}
	
	//<2F>ж<EFBFBD>ÿ<EFBFBD><C3BF><EFBFBD>Ź<EFBFBD><C5B9><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ƿ<EFBFBD><C7B7>ظ<EFBFBD> 
	for(k=0;k<9;k++){
		int cnt[10]={}; //ͳ<><CDB3>ÿ<EFBFBD><C3BF><EFBFBD><EFBFBD><EFBFBD>ֳ<EFBFBD><D6B3>ִ<EFBFBD><D6B4><EFBFBD>
		//<2F><>ʼ<EFBFBD><CABC>Ϊk/3*3 
		for(i=k/3*3;i<k/3*3+3;i++){
			//<2F><>ʼ<EFBFBD><CABC>Ϊk%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");
	return;
}

//<2F><><EFBFBD><EFBFBD>check_plus<75><73><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ж<EFBFBD><D0B6>Ƿ<EFBFBD>Ϊ<EFBFBD><CEAA><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD> 
int check_plus(int board[9][9]){
	int i,j,k;
	for(i=0;i<9;i++){
		int cnt[10]={};
		for(j=0;j<9;j++){
			cnt[board[i][j]]++;
		}
		for(j=1;j<=9;j++){
			if(cnt[j]>1){
				return 0;
			}
		}
	}
	for(i=0;i<9;i++){
		int cnt[10]={};
		for(j=0;j<9;j++){
			cnt[board[j][i]]++;
		}
		for(j=1;j<=9;j++){
			if(cnt[j]>1){
				return 0;
			}
		}
	}
	for(k=0;k<9;k++){
		int cnt[10]={};
		for(i=k/3*3;i<k/3*3+3;i++){	
			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){
				return 0;
			}
		}
	}
	return 1;
}

int solve(int board[9][9]){
	int i,j;
    for(i=0;i<9;i++){
        for(j=0;j<9;j++){
            if(board[i][j]==0){ //<2F>ҵ<EFBFBD><D2B5><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>λ<EFBFBD><CEBB> 
				int num; //<2F><><EFBFBD><EFBFBD><EFBFBD><EFBFBD>д1~9
				for(num=1;num<=9;num++){
					board[i][j]=num;
					//<2F><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EEA3AC><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ݹ<EFBFBD><DDB9><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD> 
					if(check_plus(board)){
                        if(solve(board)){
                            return 1; //<2F>ɹ<EFBFBD><C9B9><EFBFBD>д<EFBFBD><D0B4><EFBFBD>ҵ<EFBFBD>һ<EFBFBD><D2BB><EFBFBD><EFBFBD> 
                        }
                    }
                    board[i][j]=0; //<2F>޽⣬<DEBD><E2A3AC><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>һ<EFBFBD><D2BB><EFBFBD><EFBFBD>
                }
                return 0; //<2F><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EEBCB8><EFBFBD>޷<EFBFBD><DEB7><EFBFBD><EFBFBD>㣬˵<E3A3AC><CBB5><EFBFBD>޽<EFBFBD> 
            }
        }
    }
}

void final_step(int board[9][9]){
	check(board);
    if(solve(board)){
        printf("The solution of Sudoku matrix:\n");
        print(board);
    }
	else printf("No solution<6F><6E>\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}};
	int board2[9][9] = {{5, 2, 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}};

    final_step(board0);
    final_step(board1);
    final_step(board2);

    return 0;
}