poj 3259(bellman最短路径)[通俗易懂]

全栈程序员-站长 • 2022年1月16日下午7:00 • 未分类 • 阅读 42

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Wormholes

Time Limit: 2000MS		Memory Limit: 65536K
Total Submissions: 30169		Accepted: 10914

Description

While exploring his many farms, Farmer John has discovered a number of amazing wormholes. A wormhole is very peculiar because it is a one-way path that delivers you to its destination at a time that is BEFORE you entered the wormhole! Each of FJ’s farms comprises N (1 ≤ N ≤ 500) fields conveniently numbered 1..N, M (1 ≤ M ≤ 2500) paths, and W (1 ≤ W ≤ 200) wormholes.

As FJ is an avid time-traveling fan, he wants to do the following: start at some field, travel through some paths and wormholes, and return to the starting field a time before his initial departure. Perhaps he will be able to meet himself :) .

To help FJ find out whether this is possible or not, he will supply you with complete maps to F (1 ≤ F ≤ 5) of his farms. No paths will take longer than 10,000 seconds to travel and no wormhole can bring FJ back in time by more than 10,000 seconds.

Input

Line 1: A single integer,
F.
F farm descriptions follow.

Line 1 of each farm: Three space-separated integers respectively:
N,
M, and
W

Lines 2..
M+1 of each farm: Three space-separated numbers (
S,
E,
T) that describe, respectively: a bidirectional path between
S and
E that requires
T seconds to traverse. Two fields might be connected by more than one path.

Lines
M+2..
M+
W+1 of each farm: Three space-separated numbers (
S,
E,
T) that describe, respectively: A one way path from
S to
E that also moves the traveler back
T seconds.

Output

Lines 1..
F: For each farm, output “YES” if FJ can achieve his goal, otherwise output “NO” (do not include the quotes).

Sample Input

Sample Output

NO
YES

Hint

For farm 1, FJ cannot travel back in time.

For farm 2, FJ could travel back in time by the cycle 1->2->3->1, arriving back at his starting location 1 second before he leaves. He could start from anywhere on the cycle to accomplish this.

Source

AC代码：

#include<iostream>using namespace std;struct Point{    int s,e,t;}a[10000];int se;int n,m,w;int bell_man(int start){    int dis[10000];    for(int i=1;i<=n;i++)        dis[i]=999999;    dis[start]=0;    for(int i=1;i<n;i++)    for(int j=0;j<se;j++)        dis[a[j].e] = dis[a[j].e] > dis[a[j].s] + a[j].t ? dis[a[j].s] + a[j].t : dis[a[j].e];    for(int i=0;i<se;i++){        if(dis[a[i].e] > dis[a[i].s] + a[i].t)            return 1;    }    return 0;}int main(){    int T; cin>>T;    while(T--){        se=0;        cin>>n>>m>>w;        for(int i=0;i<m;i++){            int s,e,t;            cin>>s>>e>>t;            a[se].s=s; a[se].e=e; a[se++].t=t;            a[se].s=e; a[se].e=s; a[se++].t=t;        }        for(int i=0;i<w;i++){            int s,e,t;            cin>>s>>e>>t;            a[se].s=s; a[se].e=e; a[se++].t=-t;        }        //int k;        //for(k=1;k<=n;k++){          //事实上正确的起点应该要历遍全部点。可是这种超时了                                     //这个题目仅仅要1点就能够了。算是题目的一个非常大漏洞吧，数据太水了            if(bell_man(1)){                cout<<"YES"<<endl;                //break;            }        //}        //if(k>n)        else            cout<<"NO"<<endl;    }    return 0;}

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