poj2676 (dfs+回溯)

Posted 2021-01-06 q1204675546

Sudoku

Time Limit: 2000MS		Memory Limit: 65536K
Total Submissions: 24108		Accepted: 11259		Special Judge

Description

Sudoku is a very simple task. A square table with 9 rows and 9 columns is divided to 9 smaller squares 3x3 as shown on the Figure. In some of the cells are written decimal digits from 1 to 9. The other cells are empty. The goal is to fill the empty cells with decimal digits from 1 to 9, one digit per cell, in such way that in each row, in each column and in each marked 3x3 subsquare, all the digits from 1 to 9 to appear. Write a program to solve a given Sudoku-task. 

Input

The input data will start with the number of the test cases. For each test case, 9 lines follow, corresponding to the rows of the table. On each line a string of exactly 9 decimal digits is given, corresponding to the cells in this line. If a cell is empty it is represented by 0.

Output

For each test case your program should print the solution in the same format as the input data. The empty cells have to be filled according to the rules. If solutions is not unique, then the program may print any one of them.

Sample Input

1
103000509
002109400
000704000
300502006
060000050
700803004
000401000
009205800
804000107

Sample Output

143628579
572139468
986754231
391542786
468917352
725863914
237481695
619275843
854396127

Source

Southeastern Europe 2005

 

 

 

题意：数独游戏，   规则------->>>>>    1.每行每列都包含1到9，且数字不重复。    每个3*3的小矩阵中也包含数字1到9，数字不重复。

 

 

思路：  做标记，    3个标记，分别行，列和小矩阵,                              数字1到9，用过标记,true，否则   false。

 

ac代码：

 

　　

#include<iostream>
#include<cstdio>
#include<cstring>
#include<string>
#include<cstdlib>
#include<cmath>
#include<algorithm>
#include<vector>
#include<queue>
#include<stack>
#define Max(a,b) ((a)>(b)?(a):(b))
#define Min(a,b) ((a)<(b)?(a):(b))
#define Swap(a,b,t) t=a,a=b,b=t
#define Mem0(x) memset(x,0,sizeof(x))
#define Mem1(x) memset(x,-1,sizeof(x))
#define MemX(x) memset(x,0x3f,sizeof(x));
using namespace std;
typedef long long ll;
const int inf=0x3f3f3f;
const double eps=1e-12;
const int MAX=15;
int map[MAX][MAX];
char temp[MAX];
bool row[MAX][MAX],line[MAX][MAX],rl[MAX][MAX],flag=false;
void dfs(int x,int y)
{
if (x==10){
flag=true;
return ;
}
if (map[x][y]){
if (y==9)
dfs(x+1,1);
else
dfs(x,y+1);
if (flag)
return ;
}
else{
int k=3*((x-1)/3)+(y-1)/3+1;
for (int i=1;i<10;i++){
if (!row[x][i]&&!line[y][i]&&!rl[k][i]){
map[x][y]=i;
row[x][i]=line[y][i]=rl[k][i]=true;
if (y==9)
dfs(x+1,1);
else
dfs(x,y+1);
if(flag)
return ;
map[x][y]=0;
row[x][i]=line[y][i]=rl[k][i]=false;
}
}
}
}
int main()
{
int t;
cin>>t;
while (t--){
flag=false;
memset(map,0,sizeof(map));
memset(row,false,sizeof(row));
memset(line,false,sizeof(line));
memset(rl,false,sizeof(rl));
for (int i=1;i<10;i++){
cin>>temp+1;
for (int j=1;j<10;j++){
map[i][j]=temp[j]-‘0‘;
if (map[i][j]){
int k=3*((i-1)/3)+(j-1)/3+1;
row[i][map[i][j]]=line[j][map[i][j]]=rl[k][map[i][j]]=true;
}
}
}
dfs(1,1);
for (int i=1;i<10;i++){
for (int j=1;j<10;j++){
printf("%d",map[i][j]);
}
printf(" ");
}
}
return 0;
}