POJ3268 Silver Cow Party

 

Time Limit: 2000MS		Memory Limit: 65536K
Total Submissions: 18713		Accepted: 8561

Description

One cow from each of N farms (1 ≤ N ≤ 1000) conveniently numbered 1..N is going to attend the big cow party to be held at farm #X (1 ≤ X ≤ N). A total of M (1 ≤ M ≤ 100,000) unidirectional (one-way roads connects pairs of farms; road i requires T_i (1 ≤ T_i ≤ 100) units of time to traverse.

Each cow must walk to the party and, when the party is over, return to her farm. Each cow is lazy and thus picks an optimal route with the shortest time. A cow's return route might be different from her original route to the party since roads are one-way.

Of all the cows, what is the longest amount of time a cow must spend walking to the party and back?

Input

Line 1: Three space-separated integers, respectively: N, M, and X 
Lines 2..M+1: Line i+1 describes road i with three space-separated integers: A_i, B_i, and T_i. The described road runs from farm A_i to farm B_i, requiring T_i time units to traverse.

Output

Line 1: One integer: the maximum of time any one cow must walk.

Sample Input

4 8 2
1 2 4
1 3 2
1 4 7
2 1 1
2 3 5
3 1 2
3 4 4
4 2 3

Sample Output

10

Hint

Cow 4 proceeds directly to the party (3 units) and returns via farms 1 and 3 (7 units), for a total of 10 time units.

Source

USACO 2007 February Silver

 

二话不说就是一个DFS砸上去，敲一半才看到这图不一定是树……默默删了代码写SPFA。每头牛都要走到X点再走回去，那么就在正向边和反向边上各跑一次SPFA，枚举每个点看，找最长的来回距离和就是答案。

 

/*by SilverN*/
#include<iostream>
#include<algorithm>
#include<cstring>
#include<cstdio>
#include<cmath>
#include<queue>
using namespace std;
const int mxm=300010;
const int mxn=2000;
struct edge{
    int v,dis;
    int next;
    bool b;//判断正向反向 
}e[mxm];
int hd[mxm],cnt;
int n,m,x;
int dis[mxn];
int ans[mxn];
void add_edge(int u,int v,int dis){
    e[++cnt].v=v;e[cnt].next=hd[u];e[cnt].dis=dis;hd[u]=cnt;
    e[cnt].b=1;//正向 
    e[++cnt].v=u;e[cnt].next=hd[v];e[cnt].dis=dis;hd[v]=cnt;
    e[cnt].b=0;//反向 
}
int inq[mxn];
void SPFA(bool dir){
    memset(dis,32,sizeof dis);
    queue<int>q;
    inq[x]=1;
    dis[x]=0;
    q.push(x);
    while(!q.empty()){
        int u=q.front();q.pop();inq[u]=0;
        for(int i=hd[u];i;i=e[i].next){
            if(e[i].b!=dir)continue;
            int v=e[i].v;
            if(dis[u]+e[i].dis<dis[v]){
                dis[v]=dis[u]+e[i].dis;
                if(!inq[v]){
                    inq[v]=1;
                    q.push(v);
                }
            }
        }
    }
    return;
}
int main(){
    scanf("%d%d%d",&n,&m,&x);
    int i,j;
    int u,v,d;
    for(i=1;i<=m;i++){
        scanf("%d%d%d",&u,&v,&d);
        add_edge(u,v,d);
    }
    SPFA(1);//正向 
    memcpy(ans,dis,sizeof dis);
    SPFA(0);
    int mxans=0;
    for(i=1;i<=n;i++){
        if(dis[i]+ans[i]>mxans)mxans=dis[i]+ans[i];
    }
    printf("%d\n",mxans);
    return 0;
}