Nightmare
Time Limit : 2000/1000ms (Java/Other) Memory Limit : 65536/32768K (Java/Other)
Problem Description
Ignatius had a nightmare last night. He found himself in a labyrinth with a time bomb on him. The labyrinth has an exit, Ignatius should get out of the labyrinth before the bomb explodes. The initial exploding time of the bomb is set to 6 minutes. To prevent the bomb from exploding by shake, Ignatius had to move slowly, that is to move from one area to the nearest area(that is, if Ignatius stands on (x,y) now, he could only on (x+1,y), (x-1,y), (x,y+1), or (x,y-1) in the next minute) takes him 1 minute. Some area in the labyrinth contains a Bomb-Reset-Equipment. They could reset the exploding time to 6 minutes.
Given the layout of the labyrinth and Ignatius' start position, please tell Ignatius whether he could get out of the labyrinth, if he could, output the minimum time that he has to use to find the exit of the labyrinth, else output -1.
Here are some rules:
1. We can assume the labyrinth is a 2 array.
2. Each minute, Ignatius could only get to one of the nearest area, and he should not walk out of the border, of course he could not walk on a wall, too.
3. If Ignatius get to the exit when the exploding time turns to 0, he can't get out of the labyrinth.
4. If Ignatius get to the area which contains Bomb-Rest-Equipment when the exploding time turns to 0, he can't use the equipment to reset the bomb.
5. A Bomb-Reset-Equipment can be used as many times as you wish, if it is needed, Ignatius can get to any areas in the labyrinth as many times as you wish.
6. The time to reset the exploding time can be ignore, in other words, if Ignatius get to an area which contain Bomb-Rest-Equipment, and the exploding time is larger than 0, the exploding time would be reset to 6.
Input
The input contains several test cases. The first line of the input is a single integer T which is the number of test cases. T test cases follow. Each test case starts with two integers N and M(1<=N,Mm=8) which indicate the size of the labyrinth. Then N lines follow, each line contains M integers. The array indicates the layout of the labyrinth. There are five integers which indicate the different type of area in the labyrinth: 0: The area is a wall, Ignatius should not walk on it. 1: The area contains nothing, Ignatius can walk on it. 2: Ignatius' start position, Ignatius starts his escape from this position. 3: The exit of the labyrinth, Ignatius' target position. 4: The area contains a Bomb-Reset-Equipment, Ignatius can delay the exploding time by walking to these areas.
Output
For each test case, if Ignatius can get out of the labyrinth, you should output the minimum time he needs, else you should just output -1.
题意: 在迷宫,共t组,n行m列,0为墙,1为空,2为起始点,3为出口,4为重置区(重置炸弹时间),炸弹初始为6秒,每一次行动上下左右一格,用时1s,在0s时恰好走到重置区或出口无效,求最短时间,若不行输出-1
算法:BFS
问题:vis忘记清空了,BFS写法不熟练,注意熟悉queue的用法 (其实不用vis存是否走过,直接用Map处理就行)
思路:重置的格子不能重复走,重复走无意义且会死循环,其它BFS即可,每次走过4把它变成墙。
代码:ac
#include<bits/stdc++.h>
using namespace std;
int t;
int startx, starty, endx, endy;
int Map[11][11];
int cge[4][2] = { {0,1},{0,-1},{-1,0},{1,0} };
struct pos {
int x, y;
int step;
int time;
};
int n, m;
void bfs();
int main()
{
scanf("%d", &t);
for (int p = 1; p <= t; p++)
{
scanf("%d%d", &n, &m);
for (int i = 1; i <= n; i++)
for (int j = 1; j <= m; j++) {
scanf("%d", &Map[i][j]);
if (Map[i][j] == 2) {
startx = i; starty = j;
}
if (Map[i][j] == 3) {
endx = i; endy = j;
}
}
bfs();
}
return 0;
}
void bfs()
{
pos cur, nex;
cur.x = startx;
cur.y = starty;
cur.step = 0;
cur.time = 6;
queue<pos>qu;
qu.push(cur);
while (!qu.empty()) {
cur = qu.front();
qu.pop();
if (cur.x == endx && cur.y == endy && cur.time >= 1) {
printf("%d\n", cur.step);
return;
}
for (int i = 0; i < 4; i++) {
nex.x = cur.x + cge[i][0];
nex.y = cur.y + cge[i][1];
nex.step = cur.step + 1;
nex.time = cur.time - 1;
if (Map[nex.x][nex.y] == 4&&cur.time>=2)nex.time = 6;
if (nex.x <= n && nex.x >= 1 && nex.y >= 1 && nex.y <= m && nex.time >= 1&&Map[nex.x][nex.y]!=0) {
if(Map[nex.x][nex.y]==4)Map[nex.x][nex.y] = 0;
qu.push(nex);
}
}
}
printf("-1\n");
return;
}