XYZZY
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 5304 Accepted Submission(s): 1510
Problem Description
It has recently been discovered how to run open-source software on the Y-Crate gaming device. A number of enterprising designers have developed Advent-style games for deployment on the Y-Crate. Your job is to test a number of these
designs to see which are winnable.
Each game consists of a set of up to 100 rooms. One of the rooms is the start and one of the rooms is the finish. Each room has an energy value between -100 and +100. One-way doorways interconnect pairs of rooms.
The player begins in the start room with 100 energy points. She may pass through any doorway that connects the room she is in to another room, thus entering the other room. The energy value of this room is added to the player‘s energy. This process continues
until she wins by entering the finish room or dies by running out of energy (or quits in frustration). During her adventure the player may enter the same room several times, receiving its energy each time.
Input
The input consists of several test cases. Each test case begins with n, the number of rooms. The rooms are numbered from 1 (the start room) to n (the finish room). Input for the n rooms follows. The input for each room consists of
one or more lines containing:
the energy value for room i
the number of doorways leaving room i
a list of the rooms that are reachable by the doorways leaving room i
The start and finish rooms will always have enery level 0. A line containing -1 follows the last test case.
Output
In one line for each case, output "winnable" if it is possible for the player to win, otherwise output "hopeless".
Sample Input
5
0 1 2
-60 1 3
-60 1 4
20 1 5
0 0
5
0 1 2
20 1 3
-60 1 4
-60 1 5
0 0
5
0 1 2
21 1 3
-60 1 4
-60 1 5
0 0
5
0 1 2
20 2 1 3
-60 1 4
-60 1 5
0 0
-1
Sample Output
hopeless
hopeless
winnable
winnable
思路：
单向路径。判断是否存在正环，初始化距离数组为负无穷小，进入n次，说明存在正环，将距离改为无穷大。进入n+1次，直接跳过。
代码：
1 #include<iostream>
2 #include<string>
3 #include<algorithm>
4 #include<vector>
5 #include<queue>
6 #include<cstdlib>
7 #include<cstring>
8 #include<cstdio>
9 #include<cmath>
10 using namespace std;
11 const int maxn=105;
12 const int maxm=10005;
13 const int INF=0x3f3f3f3f;
14 struct edgenode {
15 int to,w,next;
16 }edges[maxm];
17 bool vis[maxn];
18 int dist[maxn],du[maxn],head[maxn];
19 int n,cnt;
20 void init() {
21 for(int i=0;i<maxn;++i) head[i]=-1;
22 for(int i=0;i<maxm;++i) edges[i].next=-1;
23 cnt=0;
24 }
25 void addedge(int u, int v, int w) {
26 edges[cnt].to=v;
27 edges[cnt].w=w;
28 edges[cnt].next=head[u];
29 head[u]=cnt++;
30 }
31 bool spfa() {
32 memset(vis,false,sizeof(vis));
33 memset(du,0,sizeof(du));
34 for(int i=0;i<maxn;++i) dist[i]=-INF;
35 queue<int> q;
36 dist[1]=100;vis[1]=true;
37 q.push(1);
38 while(!q.empty()) {
39 int now=q.front();q.pop();
40 vis[now]=false;
41 du[now]++;
42 if(du[now]>n) continue;
43 if(du[now]==n) dist[now]=INF;
44 for(int i=head[now];~i;i=edges[i].next) {
45 if(dist[edges[i].to]<dist[now]+edges[i].w&&dist[now]+edges[i].w>0) {
46 dist[edges[i].to]=dist[now]+edges[i].w;
47 if(edges[i].to==n) return true;
48 if(!vis[edges[i].to]) {
49 vis[edges[i].to]=true;
50 q.push(edges[i].to);
51 }
52 }
53 }
54 }
55 return false;
56 }
57 int main() {
58 while(scanf("%d",&n)&&n!=-1) {
59 int w,num,id;
60 init();
61 for(int i=1;i<=n;++i) {
62 scanf("%d%d",&w,&num);
63 for(int j=1;j<=num;++j) {
64 scanf("%d",&id);
65 addedge(i,id,w);
66 }
67 }
68 if(spfa()) printf("winnable\n");
69 else printf("hopeless\n");
70 }
71 return 0;
72 }