• 【最短路】POJ 1511 Invitation Cards


    POJ 1511 Invitation Cards

    题意:给一个有向图,求从结点1到各结点,再从各结点回到结点1的最小花费之和。

    思路:

    反向建边,没了。

    一开始INF设成了0x3f3f3f3f,以为真的可以当无穷大用,洛谷那边WA一发才发现它表示的数量级是(10^9),在本题不够用,遂改为1e17。然后TLE,发现关了同步的cin还是不够快,遂抄了个快读函数,过了。

    换到POJ这边,一模一样的题,代码复制过去交了,WA。最后把INF改为0x3f3f3f3f3f3f3f3f,过了。奇妙评测机……

    const LL INF = 0x3f3f3f3f3f3f3f3f;
    const int maxn = 1000000+100;
    LL read() {
    	LL x = 0, f = 1;char c = getchar();
    	while (c < '0' || c > '9') {if (c == '-') f = -1;c = getchar();}
    	while (c >= '0' && c <= '9') { x = x * 10 + c - '0'; c = getchar(); }
    	return x * f;
    }
    
    struct node {
    	LL d;
    	int u;
    	bool operator < (const node& k) const {
    		return d > k.d;
    	}
    };
    
    struct Edge {
    	int from, to;
    	LL dis;
    	Edge(int u,int v,LL d):from(u),to(v),dis(d){}
    };
    
    int n, m,x;
    int p[maxn];
    vector<Edge> Edges;
    vector<Edge> A_Edges;
    vector<int> G[maxn];
    vector<int> A_G[maxn];
    bool done[maxn];
    LL d[maxn];
    LL A_d[maxn];
    
    
    void dij(int start, int A) {
    	memset(done, 0, sizeof(done));
    	for (int i = 1; i <= n; i++){
    		if (A == 0) d[i] = INF;
    		else A_d[i] = INF;
    	}
    	if (A == 0) d[start] = 0;
    	else A_d[start] = 0;
    
    	priority_queue<node> Q;
    	Q.push(node{ 0,start });
    
    	while (!Q.empty()) {
    		node x = Q.top(); Q.pop();
    		int u = x.u;
    		if (done[u]) continue;
    		if (A == 0) {
    			for (int i = 0; i < G[u].size(); i++) {
    				Edge& e = Edges[G[u][i]];
    				if (d[e.to] > d[u] + e.dis) {
    					d[e.to] = d[u] + e.dis;
    					Q.push(node{ d[e.to],e.to });
    				}
    			}
    		}
    		else {
    			for (int i = 0; i < A_G[u].size(); i++) {
    				Edge& e = A_Edges[A_G[u][i]];
    				if (A_d[e.to] > A_d[u] + e.dis) {
    					A_d[e.to] = A_d[u] + e.dis;
    					Q.push(node{ A_d[e.to],e.to });
    				}
    			}
    		}
    		done[u] = true;
    	}
    }
    
    void solve(){
    	n = read(); m = read();
    	Edges.clear();
    	A_Edges.clear();
    	for (int i = 0; i <= n; i++) G[i].clear();
    	for (int i = 0; i <= n; i++) A_G[i].clear();
    	memset(done, 0, sizeof(done));
    
    	Edges.push_back(Edge(0, 0, 0));
    	A_Edges.push_back(Edge(0, 0, 0));
    
    	int num = 0;
    	for (int i = 1; i <= m; i++) {
    		int u, v;
    		LL d;
    		u = read();
    		v = read();
    		d = read();
    		Edges.push_back(Edge(u, v, d));
    		A_Edges.push_back(Edge(v, u, d));
    		G[u].push_back(++num);
    		A_G[v].push_back(num);
    	}
    	
    	dij(1, 0);
    	dij(1, 1);
    
    	LL ans = 0;
    	for (int i = 2; i <= n; i++) {
    		if (d[i] < INF) ans += d[i];
    		if (A_d[i] < INF) ans += A_d[i];
    	}
    	cout << ans<<endl;
    }
    
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  • 原文地址:https://www.cnblogs.com/streamazure/p/12934530.html
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