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  • poj 3255 Roadblocks

    Roadblocks

    Time Limit: 2000MS

     

    Memory Limit: 65536K

    Total Submissions: 13216

     

    Accepted: 4660

    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 intersectionN.

    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: 
    AB, 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

     

    题意:

    给出n个点,m条双向边,求严格次短路。

    AC代码:

    #include<cstdio>
    #include<cstring>
    #include<queue>
    #define R register
    using namespace std;
    inline int read(){
        R int x=0;bool f=1;
        R char ch=getchar();
        while(ch<'0'||ch>'9'){if(ch=='-')f=0;ch=getchar();}
        while(ch>='0'&&ch<='9'){x=(x<<3)+(x<<1)+ch-'0';ch=getchar();}
        return f?x:-x;
    }
    const int N=1e5+10;
    struct node{
        int u,v,w,next;
    }e[N<<1];
    int n,m,tot,head[N],dis1[N],dis2[N];
    bool vis[N];
    void add(int x,int y,int z){
        e[++tot].u=x;
        e[tot].v=y;
        e[tot].w=z;
        e[tot].next=head[x];
        head[x]=tot;
    }
    void spfa1(int S){
        queue<int>q;
        memset(vis,0,sizeof vis);
        memset(dis1,127/3,sizeof dis1);
        q.push(S);
        dis1[S]=0;vis[S]=1;
        while(!q.empty()){
            int x=q.front();q.pop();
            vis[x]=0;
            for(int i=head[x];i;i=e[i].next){
                int v=e[i].v,w=e[i].w;
                if(dis1[v]>dis1[x]+w){
                    dis1[v]=dis1[x]+w;
                    if(!vis[v]){
                        vis[v]=1;
                        q.push(v);
                    }
                }
            }
        }
    }
    void spfa2(int S){
        queue<int>q;
        memset(vis,0,sizeof vis);
        memset(dis2,127/3,sizeof dis2);
        q.push(S);
        dis2[S]=0;vis[S]=1;
        while(!q.empty()){
            int x=q.front();q.pop();
            vis[x]=0;
            for(int i=head[x];i;i=e[i].next){
                int v=e[i].v,w=e[i].w;
                if(dis2[v]>dis2[x]+w){
                    dis2[v]=dis2[x]+w;
                    if(!vis[v]){
                        vis[v]=1;
                        q.push(v);
                    }
                }
            }
        }
    }
    void Cl(){
        tot=0;
        memset(e,0,sizeof e);
        memset(head,0,sizeof head);
    }
    void work(){
        Cl();
        for(int i=1,x,y,z;i<=m;i++){
            x=read();y=read();z=read();
            add(x,y,z);
            add(y,x,z);
        }
        spfa1(1);
        spfa2(n);
        int shortest=dis1[n],shorter=0x7fffffff;
        for(int i=1;i<=m*2;i++){
            int len=dis1[e[i].u]+dis2[e[i].v]+e[i].w;
            if(len>shortest&&len<shorter) shorter=len;
        }
        printf("%d
    ",shorter);
    }
    int main(){
        while(scanf("%d%d",&n,&m)==2) work();
        return 0;
    }

     

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  • 原文地址:https://www.cnblogs.com/shenben/p/6059319.html
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