アルゴリズム復習--dijkstra求次短絡(poj 3255)

タイトル:
Description
Bessie has moved to a small farm and sometimes enjoys returning to visit one of her best friends. She does not want to get to her old home too quickly, because she likes the scenery along the way. She has decided to take the second-shortest rather than the shortest path. She knows there must be some second-shortest path.
The countryside consists of R (1 ≤ R ≤ 100,000) bidirectional roads, each linking two of the N (1 ≤ N ≤ 5000) intersections, conveniently numbered 1..N. Bessie starts at intersection 1, and her friend (the destination) is at intersection N.
The second-shortest path may share roads with any of the shortest paths, and it may backtrack i.e., use the same road or intersection more than once. The second-shortest path is the shortest path whose length is longer than the shortest path(s) (i.e., if two or more shortest paths exist, the second-shortest path is the one whose length is longer than those but no longer than any other path).
Input
Line 1: Two space-separated integers: 
N and 
R 
Lines 2..
R+1: Each line contains three space-separated integers: 
A, 
B, and 
D that describe a road that connects intersections 
A and 
B and has length 
D (1 ≤ 
D ≤ 5000)
Output
Line 1: The length of the second shortest path between node 1 and node 
N
Sample Input

4 4
1 2 100
2 4 200
2 3 250
3 4 100

Sample Output

450

Hint
Two routes: 1 -> 2 -> 4 (length 100+200=300) and 1 -> 2 -> 3 -> 4 (length 100+250+100=450)
Source
USACO 2006 November Gold
 
問題:
二次短絡のテンプレート問題(厳格な二次短さに注意)、詳細はhttps://www.cnblogs.com/iiyiyi/p/4706182.html
ただし、コードのコメント部分に注意してください.
コード:

#include
#include
#include
#include
#include
#include
#include
#include<string>
#include
#include
using namespace std;
priority_queue< pair<long long ,int> >que;
const int N=5005;
const int M=1e5+5;
const int inf=0x3f3f3f3f;
int sedis[N],dis[N],fst[N],nxt[M*2],go[M*2],val[M*2],tot,n,m;
inline int R(){
    char c;int f=0;
    for(c=getchar();c<'0'||c>'9';c=getchar());
    for(;c<='9'&&c>='0';c=getchar()) f=(f<<3)+(f<<1)+c-'0';
    return f;
}
inline void comb(int a,int b,int c){
    nxt[++tot]=fst[a],fst[a]=tot,go[tot]=b,val[tot]=c;
    nxt[++tot]=fst[b],fst[b]=tot,go[tot]=a,val[tot]=c;      
}
inline void getans(){
    memset(dis,inf,sizeof(dis));memset(sedis,inf,sizeof(sedis));
    dis[1]=0;que.push(make_pair(0,1));
    while(!que.empty()){
        int u=que.top().second,d=que.top().first;d=-d;que.pop();   //     d!!!!!! 
        for(int e=fst[u];e;e=nxt[e]){
            int v=go[e];
            if(sedis[v]continue;
            else if(dis[v]>val[e]+d){
                sedis[v]=dis[v];
                dis[v]=val[e]+d;que.push(make_pair(-dis[v],v));
            }
            else if(dis[v]val[e]+d){
                sedis[v]=d+val[e];que.push(make_pair(-sedis[v],v));
            }
        }
    }
}
int main(){
    //freopen("a.in","r",stdin);
    n=R(),m=R();int a,b,c;
    for(int i=1;i<=m;i++){
        a=R(),b=R(),c=R();comb(a,b,c);
    }
    getans();cout<endl;
    return 0;
}

 
転載先:https://www.cnblogs.com/AseanA/p/7814694.html