迷宫问题
| Time Limit: 1000MS | Memory Limit: 65536K | |
| Total Submissions: 34443 | Accepted: 19597 |
Description
定义一个二维数组:
int maze[5][5] = {0, 1, 0, 0, 0,0, 1, 0, 1, 0,0, 0, 0, 0, 0,0, 1, 1, 1, 0,0, 0, 0, 1, 0,};
它表示一个迷宫,其中的1表示墙壁,0表示可以走的路,只能横着走或竖着走,不能斜着走,要求编程序找出从左上角到右下角的最短路线。
Input
一个5 × 5的二维数组,表示一个迷宫。数据保证有唯一解。
Output
左上角到右下角的最短路径,格式如样例所示。
Sample Input
0 1 0 0 0
0 1 0 1 0
0 0 0 0 0
0 1 1 1 0
0 0 0 1 0
Sample Output
(0, 0)
(1, 0)
(2, 0)
(2, 1)
(2, 2)
(2, 3)
(2, 4)
(3, 4)
(4, 4)
Source
这题输出有坑,注意逗号后面有一个空格。
#include<cstdio>
#include<cstring>
#include<iostream>
#include<algorithm>
#include<cmath>
#include<map>
#include<queue>
using namespace std;
#define LL long long
#define M(a,b) memset(a,b,sizeof(a))
const int MAXN = 1e3+5;
const int INF = 0x3f3f3f3f;
int X[5] = {0,1,-1,0,0};
int Y[5] = {0,0,0,1,-1};
int MAP[10][10];
int vis[10][10];
int len;
struct Node
{int x,y;int from;///记录上一步的下标
} Path[MAXN];
queue<pair<pair<int,int>, int> >q;
int bfs(int x,int y)
{vis[x][y] = 1;q.push(make_pair(make_pair(x,y),len));while(!q.empty()){int x1 = q.front().first.first;int y1 = q.front().first.second;int temp = q.front().second;if(x1==5&&y1==5){return len;}q.pop();for(int i=1; i<=4; i++){int xx = x1+X[i];int yy = y1+Y[i];if(xx>=1&&xx<=5&&yy>=1&&yy<=5&&vis[xx][yy]==0&&MAP[xx][yy]==0){len++;Path[len].x = xx;Path[len].y = yy;Path[len].from = temp;vis[xx][yy] = 1;q.push(make_pair(make_pair(xx,yy),len));}}}
}
void pri(int s)
{int temp = s;int num[MAXN];int len2 = 0;num[len2++] = s;while(Path[temp].from!=0){num[len2++] = Path[temp].from;temp = Path[temp].from;}printf("(0, 0)\n");for(int i=len2-1; i>=0; i--){printf("(%d, %d)\n",Path[num[i]].x-1,Path[num[i]].y-1);}}
void init()
{M(vis,0);len = 0;Path[len].from = 0;while(!q.empty()) q.pop();
}
int main()
{while(~scanf("%d",&MAP[1][1])){init();for(int i=2; i<=5; i++){scanf("%d",&MAP[1][i]);}for(int i=2; i<=5; i++){for(int j=1; j<=5; j++){scanf("%d",&MAP[i][j]);}}int ans = bfs(1,1);pri(ans);}return 0;
}