A -Dragon Maze
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 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 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也能够做,毕竟数据非常小.
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
",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
Problem Description
最终，qj不负众望的拿到了爱情。
可是其它村子的人都不相信这个注定孤独一生的孩子竟然会拥有爱情。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。而且是哪个村子的。
qj所在的村子会用'Z'来代表，其它人的村子被标记为'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。！！）
他如今非常忙，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
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,仅仅须要给每一个村庄表上号,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
",t,ans);
return 0;
}