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ACdream 1191(广搜)

2024-07-23 12:48:05   224人阅读

题目链接：http://acdream.info/problem?pid=1191

Dragon Maze

Time Limit: 2000/1000MS (Java/Others)Memory Limit: 128000/64000KB (Java/Others)
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Problem Description

You are the prince of Dragon Kingdom and your kingdom is in danger of running out of power. You must find power to save your kingdom and its people. An old legend states that power comes from a place known as Dragon Maze. Dragon Maze appears randomly out of nowhere without notice and suddenly disappears without warning. You know where Dragon Maze is now, so it is important you retrieve some power before it disappears.

Dragon Maze is a rectangular maze, an N×M grid of cells. The top left corner cell of the maze is (0, 0) and the bottom right corner is(N-1, M-1). Each cell making up the maze can be either a dangerous place which you never escape after entering, or a safe place that contains a certain amount of power. The power in a safe cell is automatically gathered once you enter that cell, and can only be gathered once. Starting from a cell, you can walk up/down/left/right to adjacent cells with a single step.

Now you know where the entrance and exit cells are, that they are different, and that they are both safe cells. In order to get out of Dragon Maze before it disappears, you must walk from the entrance cell to the exit cell taking as few steps as possible.

If there are multiple choices for the path you could take, you must choose the one on which you collect as much power as possible in order to save your kingdom.

Input

The first line of the input gives the number of test cases, T(1 ≤ T ≤ 30). T test cases follow.

Each test case starts with a line containing two integers N and M(1 ≤ N, M ≤ 100), which give the size of Dragon Maze as described above.

The second line of each test case contains four integers enx, eny, exx, exy(0 ≤ enx, exx < N, 0 ≤ eny, exy < M), describing the position of entrance cell (enx, eny) and exit cell (exx, exy).

Then N lines follow and each line has M numbers, separated by spaces, describing the N×M cells of Dragon Maze from top to bottom.

Each number for a cell is either -1, which indicates a cell is dangerous, or a positive integer, which indicates a safe cell containing a certain amount of power.

Output

For each test case, output one line containing "Case #x: y", where x is the case number (starting from 1).

If it‘s possible for you to walk from the entrance to the exit, y should be the maximum total amount of power you can collect by taking the fewest steps possible.

If you cannot walk from the entrance to the exit, y should be the string "Mission Impossible." (quotes for clarity).

Sample Input

2
2 3
0 2 1 0
2 -1 5
3 -1 6
4 4
0 2 3 2
-1 1 1 2
1 1 1 1
2 -1 -1 1
1 1 1 1

Sample Output

Case #1: Mission Impossible.
Case #2: 7
题意：一个n*m的迷宫，要从入口到出口找一条最短路径，然后输出这条路径上的权值之和，如果有多条最短路径，那么输出最大的权值；

思路：直接广搜，用两个数组分别存储 step 和 energy ,然后不断去维护即可，这道题卡了我好久。

#include <iostream>
#include <stdio.h>
#include <string.h>
#include <string>
#include <cstdio>
#include <cmath>
#include <queue>
const int INF=1e9;
using namespace std;

int map[110][110],vis[110][110];
int n,m,sx,sy,ex,ey,min_step;
int steps[110][110],energy[110][110];

int xx[]={0,0,-1,1};
int yy[]={-1,1,0,0};
struct node
{
 int x,y;
};
bool judge(int x,int y)
{
  return x>=0&&x<n&&y>=0&&y<m;
}

void bfs()
{
 memset(vis,0,sizeof(vis));
 memset(steps,0,sizeof(steps));
 memset(energy,0,sizeof(energy));
 queue<node>que;
 node q,p;
 q.x=sx,q.y=sy;
 que.push(q);

 vis[sx][sy]=1;
 steps[sx][sy]=0;
 energy[sx][sy]=map[sx][sy];
 while(!que.empty())
 {
   q=que.front();
   que.pop();
   if(steps[q.x][q.y]>min_step)continue;
   if(q.x==ex&&q.y==ey)
   {
      min_step=steps[q.x][q.y];
   }
   for(int i=0;i<4;i++)
   {
     p.x=q.x+xx[i];
     p.y=q.y+yy[i];
     if(!judge(p.x,p.y))continue;
     if(map[p.x][p.y]==-1)continue;
     if(vis[p.x][p.y])
     {
       energy[p.x][p.y]=max(energy[p.x][p.y],energy[q.x][q.y]+map[p.x][p.y]);
       continue;
     }
     energy[p.x][p.y]=energy[q.x][q.y]+map[p.x][p.y];
     steps[p.x][p.y]=steps[q.x][q.y]+1;
     vis[p.x][p.y]=1;
     que.push(p);
     /*
     if(!vis[p.x][p.y]||steps[p.x][p.y]==steps[q.x][q.y]+1)
     {
       energy[p.x][p.y]=max(energy[p.x][p.y],energy[q.x][q.y]+map[p.x][p.y]);
     }
     if(vis[p.x][p.y]||map[p.x][p.y]==-1|| !judge(p.x,p.y))continue;
     vis[p.x][p.y]=1;
     steps[p.x][p.y]=steps[q.x][q.y]+1;
     que.push(p);
    */
   }
 }
}

int main()
{
  int T,test=1;
  cin>>T;
  while(T--)
  {
    scanf("%d%d",&n,&m);
    scanf("%d%d%d%d",&sx,&sy,&ex,&ey);
    for(int i=0;i<n;i++)
     for(int j=0;j<m;j++)
     scanf("%d",&map[i][j]);
    min_step=INF;
    bfs();
    if(min_step==INF)
    {
       printf("Case #%d: Mission Impossible.\n",test++);
    }
    else
       printf("Case #%d: %d\n",test++,energy[ex][ey]);
  }
  return 0;
}


ACdream 1191(广搜)


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