ACdream区域赛指导赛之手速赛系列(7)

A -Dragon Maze

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

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题目连接:     传送门

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 en_x, en_y, ex_x, ex_y(0 ≤ en_x, ex_x < N, 0 ≤ en_y, ex_y < M), describing the position of entrance cell(en_x, en_y) and exit cell (ex_x, ex_y).

Then N lines follow and each line has M numbers, separated by spaces, describing theN×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

意解: 一个简单的BFS加优先队列,dfs也可以做,毕竟数据很小.

AC代码:
            
/*
*  this code is made by eagle
*  Problem: 1191
*  Verdict: Accepted
*  Submission Date: 2014-09-19 01:46:08
*  Time: 72MS
*  Memory: 1736KB
*/
#include <iostream>
#include <cstring>
#include <cstdio>
#include <queue>
 
using namespace std;
int N,M,ux,uy,nx,ny;
int map[110][110];
int d[][2] = {-1,0,1,0,0,1,0,-1};
 
struct Node
{
    int x,y,num,t;
    //Node (int x, int y, int num) : x(x),y(y),num(num) {}
    bool operator < (const Node &cnt) const
    {
        return cnt.t < t || (cnt.num > num && cnt.t == t);
    }
};
 
bool query()
{
    Node a;
    priority_queue<Node>ms;
    a.x = ux;
    a.y = uy;
    a.num = map[ux][uy];
    a.t = 0;
    ms.push(a);
    while(!ms.empty())
    {
        a = ms.top();
        ms.pop();
//        cout<<a.x<<":"<<a.y<<endl;
        if(a.x == nx && a.y == ny)
        {
            printf("%d\n",a.num);
            return true;
        }
        for(int i = 0; i < 4; i++)
        {
            Node b;
            b.x = a.x + d[i][0];
            b.y = a.y + d[i][1];
            if(b.x < 0 || b.y < 0 || b.x >= N || b.y >= M || map[b.x][b.y] == -1) continue;
            b.num = a.num + map[b.x][b.y];
            b.t = a.t + 1;
            ms.push(b);
            map[b.x][b.y] = -1;
        }
    }
    return false;
}
 
int main()
{
    //freopen("in.txt","r",stdin);
    int T,cnt = 0;
    scanf("%d",&T);
    while(T--)
    {
        printf("Case #%d: ",++cnt);
        scanf("%d %d",&N,&M);
        scanf("%d %d %d %d",&ux,&uy,&nx,&ny);
        for(int i = 0; i < N; i++)
            for(int j = 0; j < M; j++)
                scanf("%d",&map[i][j]);
        if(!query())
            puts("Mission Impossible.");
    }
    return 0;
}

 
    
    
    
    

     
     
     
     
 
      
D - qj的招待会
 
      
 
       Time Limit:  
       100/50MS (Java/Others) 
       Memory Limit:  
       128000/64000KB (Java/Others) 
        
      
 
      

        Submit Status 
      
 
     
     
     
     
     
 
      
Problem Description
 
      
 
       
终于，qj不负众望的拿到了爱情。
但是其他村子的人都不相信这个注定孤独一生的孩子居然会拥有爱情，于是都决定到qj所在的村子里去看看是否真的如此。
这时，qj为了（xiu）招（en）待（ai），他就必须得知道他们最早什么时候到，并且是哪个村子的。
qj所在的村子会用'Z'来代表，其他人的村子被标记为'a'..'z'和'A'..'Y',在用大写字母表示的村子中有人,小写字母中则没有。
为了使问题简单化，设定这些人每分钟走1km（喂喂，这可能吗！！！）
他现在很忙，正在和爱情约会中，所以请各位帮帮qj算算吧。
 
      
 
      
Input
 
      
 
       
第一行 N表示道路数量(1<= N<=10000),
 
       
第2-N+1行 用空格隔开的两个字母和整数代表道路连接的村子与道路的长度(km)(1<=长度<=1000)
 
      
 
      
Output
 
      

        输出：最先到达qj村子的村民所在的村子的标记,和这村民需要的时间（min）。 
      
 
      
Sample Input
 
      
 
       
5
A d 6
B d 3
C e 9
d Z 8
e Z 3
 
      
 
      
Sample Output
 
      
 
       
B 11

意解: 这是一个简单的floyd最短路算法,只需要给每个村庄表上号,以A-z标为1到64,然后就是一个模板题了.

AC代码:
/*
* this code is made by eagle
* Problem: 1209
* Verdict: Accepted
* Submission Date: 2014-09-20 10:58:32
* Time: 12MS
* Memory: 1716KB
*/
#include <iostream>
#include <cstring>
#include <cstdio>
 
using namespace std;
const int INF = 1e8;
int map[100][100];
 
void unit()
{
    for(int i = 1; i <= 100; i++)
        for(int j = 1; j <= 100; j++)
            if(i != j) map[i][j] = INF;
            else map[i][j] = 0;
}
 
int main()
{
    //freopen("in","r",stdin);
    int T;
    cin>>T;
    getchar();
    unit();
    while(T--)
    {
        char c1,c2;
        int x,a,b;
        scanf("%c %c %d",&c1,&c2,&x);
        getchar();
 
        if(c1 > c2) swap(c1,c2);
 
        if(c1 > 'Z') a = c1 - 'a' + 27;
        else a = c1 - 'A' + 1;
 
        if(c2 > 'Z') b = c2 - 'a' + 27;
        else b = c2 - 'A' + 1;
 
        if(x < map[a][b]) map[a][b] = map[b][a] = x;
    }
    for(int k = 1; k <= 70; k++)
        for(int j = 1; j <= 70; j++)
            for(int i = 1; i <= 70; i++)
                if(map[j][k] == INF || map[k][i] == INF) continue;
                else map[j][i] = min(map[j][i] , map[j][k] + map[k][i]);
    int ans = INF;
    char t;
    for(int i = 1; i < 26; i++)
        if(map[i][26] < ans)
        {
            t = (char)(i + 'A' - 1);
            ans = map[i][26];
        }
    printf("%c %d\n",t,ans);
    return 0;
}