• 【LOJ】#3087. 「GXOI / GZOI2019」旅行者


    LOJ#3087. 「GXOI / GZOI2019」旅行者

    正着求一遍dij,反着求一遍,然后枚举每条边,从u到v,如果到u最近的点和v能到的最近的点不同,那么可以更新答案

    没了

    #include <bits/stdc++.h>
    #define fi first
    #define se second
    #define pii pair<int,int>
    #define mp make_pair
    #define pb push_back
    #define space putchar(' ')
    #define enter putchar('
    ')
    #define eps 1e-10
    #define MAXN 100005
    #define ba 47
    //#define ivorysi
    using namespace std;
    typedef long long int64;
    typedef unsigned int u32;
    typedef double db;
    template<class T>
    void read(T &res) {
        res = 0;T f = 1;char c = getchar();
        while(c < '0' || c > '9') {
    	if(c == '-') f = -1;
    	c = getchar();
        }
        while(c >= '0' && c <= '9') {
    	res = res * 10 +c - '0';
    	c = getchar();
        }
        res *= f;
    }
    template<class T>
    void out(T x) {
        if(x < 0) {x = -x;putchar('-');}
        if(x >= 10) {
    	out(x / 10);
        }
        putchar('0' + x % 10);
    }
    struct node {
        int to,next;
        int64 val;
    }E[500005];
    int N,M,K;
    int head[MAXN],sumE,u[500005],v[500005],c[500005];
    vector<int> st;
    int64 dis[2][MAXN],from[2][MAXN];
    bool vis[MAXN];
    void add(int u,int v,int64 c) {
        E[++sumE].to = v;
        E[sumE].next = head[u];
        E[sumE].val = c;
        head[u] = sumE;
    }
    void Init() {
        read(N);read(M);read(K);
        int a,b;
        for(int i = 1 ; i <= M ; ++i) {
    	read(u[i]);read(v[i]);read(c[i]);
        }
        st.clear();
        for(int i = 1 ; i <= K ; ++i) {
    	read(a);st.pb(a);
        }
    }
    priority_queue<pair<int64,int> > Q;
    void Dijkstra(int id) {
        for(int i = 1 ; i <= N ; ++i) {
    	dis[id][i] = 1e18;
        }
        for(auto t : st) {
    	dis[id][t] = 0;from[id][t] = t;
    	Q.push(mp(-dis[id][t],t));
        }
        memset(vis,0,sizeof(vis));
        while(!Q.empty()) {
    	auto now = Q.top();Q.pop();
    	if(vis[now.se]) continue;
    	int t = now.se;
    	vis[t] = 1;
    	for(int i = head[t] ; i ; i = E[i].next) {
    	    int v = E[i].to;
    	    if(dis[id][v] > dis[id][t] + E[i].val) {
    		dis[id][v] = dis[id][t] + E[i].val;
    		from[id][v] = from[id][t];
    		Q.push(mp(-dis[id][v],v));
    	    }
    	}
        }
    }
    void Solve() {
        sumE = 0;memset(head,0,sizeof(head));
        for(int i = 1 ; i <= M ; ++i) {
    	add(u[i],v[i],c[i]);
        }
        
        Dijkstra(0);
        sumE = 0;memset(head,0,sizeof(head));
        for(int i = 1 ; i <= M ; ++i) {
    	add(v[i],u[i],c[i]);
        }
        Dijkstra(1);
        int64 ans = 1e18;
        for(int i = 1 ; i <= M ; ++i) {
    	if(from[0][u[i]] != from[1][v[i]]) {
    	    ans = min(ans,c[i] + dis[0][u[i]] + dis[1][v[i]]);
    	}
        }
        out(ans);enter;
    }
    int main() {
    #ifdef ivorysi
        freopen("f1.in","r",stdin);
    #endif
        int T;
        read(T);
        while(T--) {
    	Init();
    	Solve();
        }
    }
    
    
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  • 原文地址:https://www.cnblogs.com/ivorysi/p/10977595.html
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