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  • POJ 2449 Remmarguts' Date 第k短路

    POJ 2449 Remmarguts' Date 第k短路

    题意:有n个点,m条边,m行是a到b的权值为c,最后一行是问s到e的第k短路是多少,没有则输出-1

    第k短路的模板,代码是从https://www.cnblogs.com/shuaihui520/p/9623597.html这个大佬这里copy的,思路是从书上看到的。(算法竞赛进阶指南124页)

    #include<stdio.h>
    #include<string.h>
    #include<queue>
    #include<algorithm>
    using namespace std;
    const int INF  = 0x3f3f3f3f;
    const int maxn = 1024;
    const int maxm = 100008;
    struct EDGE{ int v, nxt, w; };
    struct NODE{
        int pos, Cost, F;
        bool operator < (const NODE & rhs) const {
            if(this->F == rhs.F) return this->Cost > rhs.Cost;
            return this->F > rhs.F;
        };
    };
    
    EDGE Edge[maxm];
    EDGE REdge[maxm];
    int Head[maxn], RHead[maxn];
    int cnt, Rcnt;
    int N;
    void init()
    {
        memset(Head, -1, sizeof(Head));
        memset(RHead, -1, sizeof(RHead));
        cnt = Rcnt = 0;
    }
    
    void AddEdge(int from, int to, int weight)
    {
        Edge[cnt].w = weight;
        Edge[cnt].v = to;
        Edge[cnt].nxt = Head[from];
        Head[from] = cnt++;
    }
    
    void AddREdge(int from, int to, int weight)
    {
        REdge[Rcnt].w = weight;
        REdge[Rcnt].v = to;
        REdge[Rcnt].nxt = RHead[from];
        RHead[from] = Rcnt++;
    }
    
    int vis[maxn];
    int H[maxn];
    void SPFA(int st)
    {
        queue<int> que;
        memset(H, INF, sizeof(H));
        memset(vis, 0, sizeof(vis));
        H[st] = 0;
        que.push(st);
        while(!que.empty()){
            int cur = que.front(); que.pop();
            vis[cur] = 0;
            for(int i=RHead[cur]; i!=-1; i=REdge[i].nxt) {
                int v = REdge[i].v;
                if(H[v] > H[cur] + REdge[i].w) {
                    H[v] = H[cur] + REdge[i].w;
                    if(!vis[v]) {
                        vis[v] = 1;
                        que.push(v);
                    }
                }
            }
        }
    }
    
    int A_Star(int s, int t, int k)
    {
        if(s == t) k++;
        if(H[s]==INF) return -1;
        priority_queue<NODE> que;
        NODE cur, into;
        cur.pos = s;
        cur.Cost = 0;
        cur.F = H[s];
        que.push(cur);
        int CNT = 0;
        while(!que.empty()){
            cur = que.top();
            que.pop();
            if(cur.pos == t) CNT++;
            if(CNT == k) return cur.Cost;
            for(int i=Head[cur.pos]; i!=-1; i=Edge[i].nxt){
                into.Cost = cur.Cost+Edge[i].w;
                into.F = cur.Cost+Edge[i].w+H[Edge[i].v];
                into.pos = Edge[i].v;
                que.push(into);
            }
        }return -1;
    }
    
    
    int main(void)
    {
        int M, K, S, des;
        while(~scanf("%d %d", &N, &M)){
            init();
            int from, to, weight;
            while(M--){
                scanf("%d %d %d",&from, &to, &weight);
                 AddEdge(from, to, weight);
                AddREdge(to, from, weight);
            }
            scanf("%d %d %d", &S, &des, &K);
            SPFA(des);
            printf("%d
    ", A_Star(S,des,K));
        }
        return 0;
    }
    
    
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  • 原文地址:https://www.cnblogs.com/fanshhh/p/11878595.html
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