Hdu 1026 - Ignatius and the Princess
Problem Description
The Princess has been abducted by the BEelzebub feng5166, our hero Ignatius has to rescue our pretty Princess. Now he gets into feng5166's castle. The castle is a large labyrinth. To make the problem simply, we assume the labyrinth is a N*M two-dimensional array which left-top corner is (0,0) and right-bottom corner is (N-1,M-1). Ignatius enters at (0,0), and the door to feng5166's room is at (N-1,M-1), that is our target. There are some monsters in the castle, if Ignatius meet them, he has to kill them. Here is some rules:
1.Ignatius can only move in four directions(up, down, left, right), one step per second. A step is defined as follow: if current position is (x,y), after a step, Ignatius can only stand on (x-1,y), (x+1,y), (x,y-1) or (x,y+1).
2.The array is marked with some characters and numbers. We define them like this:
. : The place where Ignatius can walk on.
X : The place is a trap, Ignatius should not walk on it.
n : Here is a monster with n HP(1<=n<=9), if Ignatius walk on it, it takes him n seconds to kill the monster.
Your task is to give out the path which costs minimum seconds for Ignatius to reach target position. You may assume that the start position and the target position will never be a trap, and there will never be a monster at the start position.
Input
The input contains several test cases. Each test case starts with a line contains two numbers N and M(2<=N<=100,2<=M<=100) which indicate the size of the labyrinth. Then a N*M two-dimensional array follows, which describe the whole labyrinth. The input is terminated by the end of file. More details in the Sample Input.
Output
For each test case, you should output "God please help our poor hero."if Ignatius can't reach the target position, or you should output "It takes n seconds to reach the target position, let me show you the way."(n is the minimum seconds), and tell our hero the whole path. Output a line contains "FINISH"after each test case. If there are more than one path, any one is OK in this problem. More details in the Sample Output.
Sample Input
5 6
.XX.1.
..X.2.
2...X.
...XX.
XXXXX.
5 6
.XX.1.
..X.2.
2...X.
...XX.
XXXXX1
5 6
.XX...
..XX1.
2...X.
...XX.
XXXXX.
Sample Output
It takes 13 seconds to reach the target position, let me show you the way.
1s:(0,0)->(1,0)
2s:(1,0)->(1,1)
3s:(1,1)->(2,1)
4s:(2,1)->(2,2)
5s:(2,2)->(2,3)
6s:(2,3)->(1,3)
7s:(1,3)->(1,4)
8s:FIGHT AT (1,4)
9s:FIGHT AT (1,4)
10s:(1,4)->(1,5)
11s:(1,5)->(2,5)
12s:(2,5)->(3,5)
13s:(3,5)->(4,5)
FINISH
It takes 14 seconds to reach the target position, let me show you the way.
1s:(0,0)->(1,0)
2s:(1,0)->(1,1)
3s:(1,1)->(2,1)
4s:(2,1)->(2,2)
5s:(2,2)->(2,3)
6s:(2,3)->(1,3)
7s:(1,3)->(1,4)
8s:FIGHT AT (1,4)
9s:FIGHT AT (1,4)
10s:(1,4)->(1,5)
11s:(1,5)->(2,5)
12s:(2,5)->(3,5)
13s:(3,5)->(4,5)
14s:FIGHT AT (4,5)
FINISH
God please help our poor hero.
FINISH
비교적 어려운 검색 문제인 셈이지!해조 형 코드 참고로...
#include<iostream>
using namespace std;
#define maxx 10010
char map[110][110];
int vis[110][110],f[110][110];
struct node{
int x,y,t;
node(){}
node(int a,int b,int c):x(a),y(b),t(c){}
}path[maxx],que[maxx*9];
int n,m;
int fx[]={1,-1,0,0};
int fy[]={0,0,1,-1};
int bfs()
{
int i,j,t,step;
memset(vis,-1,sizeof(vis));
for(i=0;i<n;i++){
scanf("%s",map[i]);
for(j=0;j<m;j++)
if(map[i][j]=='.') map[i][j]='0';
}
int s,e;
que[s=e=0]=node(0,0,map[0][0]-'0');
vis[0][0]=0;
while(s<=e)
{
node no=que[s++];
if(no.t){ // ,
que[++e]=node(no.x,no.y,no.t-1);
vis[no.x][no.y]++;
continue;
}
if(n-1==no.x && m-1==no.y) break;//
for(int i=0;i<4;i++){
int nx=no.x+fx[i],ny=no.y+fy[i];
if(nx<0||ny<0||nx>=n||ny>=m) continue;
if(map[nx][ny]=='X'||vis[nx][ny]!=-1) continue;
vis[nx][ny]=vis[no.x][no.y]+1;
f[nx][ny]=i;//
que[++e]=node(nx,ny,map[nx][ny]-'0');
}
}
return vis[n-1][m-1];
}
int main()
{
int x,y,nx,ny,i,j,tol;
while(~scanf("%d%d",&n,&m))
{
tol=bfs();
if(tol==-1)
puts("God please help our poor hero.");
else{
int step=0;
x=n-1,y=m-1;
while(x||y){// f[][] , , path
path[step++]=node(x,y,map[x][y]-'0');
nx=x+fx[f[x][y]^1],ny=y+fy[f[x][y]^1];
x=nx,y=ny;
}
path[step]=node(0,0,map[0][0]-'0');
printf("It takes %d seconds to reach the target position, let me show you the way.
",tol);
int t=0;
while(step--){
printf("%ds:(%d,%d)->(%d,%d)
",++t,path[step+1].x,path[step+1].y,path[step].x,path[step].y);
while(path[step].t--) printf("%ds:FIGHT AT (%d,%d)
",++t,path[step].x,path[step].y);
}
}
puts("FINISH");
}
return 0;
}
이 내용에 흥미가 있습니까?
현재 기사가 여러분의 문제를 해결하지 못하는 경우 AI 엔진은 머신러닝 분석(스마트 모델이 방금 만들어져 부정확한 경우가 있을 수 있음)을 통해 가장 유사한 기사를 추천합니다:
POJ 2606 Rabbit hunt(내 수제의 길--사율이 가장 많다)Rabbit hunt Time Limit: 1000MS Memory Limit: 65536K A good hunter kills two rabbits with one shot. Of course, it can be ...
텍스트를 자유롭게 공유하거나 복사할 수 있습니다.하지만 이 문서의 URL은 참조 URL로 남겨 두십시오.
CC BY-SA 2.5, CC BY-SA 3.0 및 CC BY-SA 4.0에 따라 라이센스가 부여됩니다.