Finding Nemo (poj 2049 超级蛋疼的bfs)
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Finding Nemo
Time Limit: 2000MS Memory Limit: 30000KTotal Submissions: 8372 Accepted: 1944
Description
Nemo is a naughty boy. One day he went into the deep sea all by himself. Unfortunately, he became lost and couldn't find his way home. Therefore, he sent a signal to his father, Marlin, to ask for help.
After checking the map, Marlin found that the sea is like a labyrinth with walls and doors. All the walls are parallel to the X-axis or to the Y-axis. The thickness of the walls are assumed to be zero.
All the doors are opened on the walls and have a length of 1. Marlin cannot go through a wall unless there is a door on the wall. Because going through a door is dangerous (there may be some virulent medusas near the doors), Marlin wants to go through as few doors as he could to find Nemo.
Figure-1 shows an example of the labyrinth and the path Marlin went through to find Nemo.
We assume Marlin's initial position is at (0, 0). Given the position of Nemo and the configuration of walls and doors, please write a program to calculate the minimum number of doors Marlin has to go through in order to reach Nemo.
After checking the map, Marlin found that the sea is like a labyrinth with walls and doors. All the walls are parallel to the X-axis or to the Y-axis. The thickness of the walls are assumed to be zero.
All the doors are opened on the walls and have a length of 1. Marlin cannot go through a wall unless there is a door on the wall. Because going through a door is dangerous (there may be some virulent medusas near the doors), Marlin wants to go through as few doors as he could to find Nemo.
Figure-1 shows an example of the labyrinth and the path Marlin went through to find Nemo.
We assume Marlin's initial position is at (0, 0). Given the position of Nemo and the configuration of walls and doors, please write a program to calculate the minimum number of doors Marlin has to go through in order to reach Nemo.
Input
The input consists of several test cases. Each test case is started by two non-negative integers M and N. M represents the number of walls in the labyrinth and N represents the number of doors.
Then follow M lines, each containing four integers that describe a wall in the following format:
x y d t
(x, y) indicates the lower-left point of the wall, d is the direction of the wall -- 0 means it's parallel to the X-axis and 1 means that it's parallel to the Y-axis, and t gives the length of the wall.
The coordinates of two ends of any wall will be in the range of [1,199].
Then there are N lines that give the description of the doors:
x y d
x, y, d have the same meaning as the walls. As the doors have fixed length of 1, t is omitted.
The last line of each case contains two positive float numbers:
f1 f2
(f1, f2) gives the position of Nemo. And it will not lie within any wall or door.
A test case of M = -1 and N = -1 indicates the end of input, and should not be processed.
Then follow M lines, each containing four integers that describe a wall in the following format:
x y d t
(x, y) indicates the lower-left point of the wall, d is the direction of the wall -- 0 means it's parallel to the X-axis and 1 means that it's parallel to the Y-axis, and t gives the length of the wall.
The coordinates of two ends of any wall will be in the range of [1,199].
Then there are N lines that give the description of the doors:
x y d
x, y, d have the same meaning as the walls. As the doors have fixed length of 1, t is omitted.
The last line of each case contains two positive float numbers:
f1 f2
(f1, f2) gives the position of Nemo. And it will not lie within any wall or door.
A test case of M = -1 and N = -1 indicates the end of input, and should not be processed.
Output
For each test case, in a separate line, please output the minimum number of doors Marlin has to go through in order to rescue his son. If he can't reach Nemo, output -1.
Sample Input
8 91 1 1 32 1 1 33 1 1 34 1 1 31 1 0 31 2 0 31 3 0 31 4 0 32 1 12 2 12 3 13 1 13 2 13 3 11 2 03 3 04 3 11.5 1.54 01 1 0 11 1 1 12 1 1 11 2 0 11.5 1.7-1 -1
Sample Output
5-1
Source
Beijing 2004
题意:二位坐标内告诉一些墙和门,儿子被困在里面,父亲在(0,0)处出发去救儿子,要求穿过的门数最少,输出最少门数。
思路:我是把它转化成了平常的二维地图,先从(0,0)dfs走遍迷宫外的所有能到达的点并标记,然后从儿子所在地出发bfs,step记录穿过了多少扇门,当走到迷宫外遇到dfs访问过的点就表示出来了。今天做的几个poj上的题怎么都这么蛋疼,实在无语了,实际测试数据有大于199的!!!具体去看discuss吧,我也是看了里面的才过。。。
代码:
#include <iostream>#include <functional>#include <cstdio>#include <cstring>#include <algorithm>#include <cmath>#include <string>#include <map>#include <stack>#include <vector>#include <set>#include <queue>#pragma comment (linker,"/STACK:102400000,102400000")#define pi acos(-1.0)#define eps 1e-6#define lson rt<<1,l,mid#define rson rt<<1|1,mid+1,r#define FRE(i,a,b) for(i = a; i <= b; i++)#define FREE(i,a,b) for(i = a; i >= b; i--)#define FRL(i,a,b) for(i = a; i < b; i++)#define FRLL(i,a,b) for(i = a; i > b; i--)#define mem(t, v) memset ((t) , v, sizeof(t))#define sf(n) scanf("%d", &n)#define sff(a,b) scanf("%d %d", &a, &b)#define sfff(a,b,c) scanf("%d %d %d", &a, &b, &c)#define pf printf#define DBG pf("Hi\n")typedef long long ll;using namespace std;#define INF 0x3f3f3f3f#define mod 1000000009const int maxn = 1000;const int MAXN = 2005;const int MAXM = 200010;struct Node{ int x,y,step; bool operator<(const Node &a)const { return step>a.step; }};int N,M;int n,m,sx,sy;int dir[4][2]={1,0,0,1,-1,0,0,-1};int mp[maxn][maxn];bool vis[maxn][maxn];int door[maxn][maxn];bool isok(int x,int y){ if (x>=0&&x<=N&&y>=0&&y<=M) return true; return false;}void dfs(int x,int y){ mp[x][y]=2; for (int i=0;i<4;i++) { int dx=x+dir[i][0]; int dy=y+dir[i][1]; if (isok(dx,dy)&&mp[dx][dy]==0&&!door[dx][dy]) dfs(dx,dy); }}int bfs(){ Node st,now; memset(vis,false,sizeof(vis)); st.x=sx,st.y=sy,st.step=0; vis[sx][sy]=true; priority_queue<Node>Q; Q.push(st); while (!Q.empty()) { st=Q.top();Q.pop(); if (mp[st.x][st.y]==2) return st.step; for (int i=0;i<4;i++) { now.x=st.x+dir[i][0]; now.y=st.y+dir[i][1]; if (isok(now.x,now.y)&&mp[now.x][now.y]!=1&&!vis[now.x][now.y]) { now.step=st.step; if (door[now.x][now.y]) now.step++; vis[now.x][now.y]=true; Q.push(now); } } } return -1;}int main(){//#ifndef ONLINE_JUDGE// freopen("C:/Users/lyf/Desktop/IN.txt","r",stdin);//#endif int i,j,x,y,d,l; double xx,yy; while (scanf("%d%d",&m,&n)) { if (n==-1&&m==-1) break; memset(mp,0,sizeof(vis)); memset(door,0,sizeof(door)); N=M=0; for (i=0;i<m;i++) { scanf("%d%d%d%d",&x,&y,&d,&l); if (d==1) { N=max(N,2*x); M=max(M,2*(y+l)); for (j=2*y;j<=2*(y+l);j++) mp[2*x][j]=1; } else { N=max(N,2*(x+l)); M=max(M,2*y); for (j=2*x;j<=2*(x+l);j++) mp[j][2*y]=1; } } for (i=0;i<n;i++) { scanf("%d%d%d",&x,&y,&d); if (d==1) { mp[2*x][2*y+1]=0; door[2*x][2*y+1]=1; } else { mp[2*x+1][2*y]=0; door[2*x+1][2*y]=1; } } N++;M++; cin>>xx>>yy; if (n==0 && m==0)printf ("0\n");else if (xx<0||yy<0||xx>199||yy>199)printf ("0\n");else { sx=((int)xx)*2+1; sy=((int)yy)*2+1; dfs(1,1); printf("%d\n",bfs()); } } return 0;}
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