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  • hud 2586 How far away ?

    题目连接

    http://acm.hdu.edu.cn/showproblem.php?pid=2586  

    How far away ?

    Description

    There are n houses in the village and some bidirectional roads connecting them. Every day peole always like to ask like this "How far is it if I want to go from house A to house B"? Usually it hard to answer. But luckily int this village the answer is always unique, since the roads are built in the way that there is a unique simple path("simple" means you can't visit a place twice) between every two houses. Yout task is to answer all these curious people.

    Input

    First line is a single integer T(T<=10), indicating the number of test cases.
      For each test case,in the first line there are two numbers n(2<=n<=40000) and m (1<=m<=200),the number of houses and the number of queries. The following n-1 lines each consisting three numbers i,j,k, separated bu a single space, meaning that there is a road connecting house i and house j,with length k(0<k<=40000).The houses are labeled from 1 to n.
      Next m lines each has distinct integers i and j, you areato answer the distance between house i and house j.

    Output

    For each test case,output m lines. Each line represents the answer of the query. Output a bland line after each test case.

    Sample Input

    2
    3 2
    1 2 10
    3 1 15
    1 2
    2 3

    2 2
    1 2 100
    1 2
    2 1

    Sample Output

    10
    25
    100
    100

    tarjan离线求LCA。。

    #include <bits/stdc++.h>
    using namespace std;
    const int N = 40010;
    struct Tarjan_Lca {
        bool vis[N];
        vector<pair<int, int>> A, Q[N];
        int tot, par[N], ans[210], head[N], dist[N];
        struct edge { int to, w, next; }G[N << 1];
        inline void init(int n) {
            A.clear();
            for(int i = 0; i < n + 2; i++) {
                par[i] = i;
                vis[i] = false;
                head[i] = -1;
                dist[i] = 0;
                Q[i].clear();
            }
        }
        inline void add_edge(int u, int v, int w) {
            G[tot] = { v, w, head[u] }, head[u] = tot++;
            G[tot] = { u, w, head[v] }, head[v] = tot++;
        }
        inline void built(int n, int m) {
            int u, v, w;
            while(n-- > 1) {
                scanf("%d %d %d", &u, &v, &w);
                add_edge(u, v, w);
            }
            for(int i = 0; i < m; i++) {
                scanf("%d %d", &u, &v);
                A.push_back(pair<int, int>(u, v));
                Q[u].push_back(pair<int, int>(v, i));
                Q[v].push_back(pair<int, int>(u, i));
            }
        }
        inline int find(int x) {
            while(x != par[x]) {
                x = par[x] = par[par[x]];
            }
            return x;
        }
        inline void tarjan(int u, int fa) {
            for(int i = head[u]; ~i; i = G[i].next) {
                edge &e = G[i];
                if(e.to == fa) continue;
                dist[e.to] = dist[u] + e.w;
                tarjan(e.to, u);
                vis[e.to] = true;
                par[e.to] = u;
            }
            for(auto &r: Q[u]) {
                if(vis[r.first]) ans[r.second] = find(r.first);
            }
        }
        inline void solve(int n, int m) {
            init(n);
            built(n, m);
            tarjan(1, 1);
            for(int i = 0; i < m; i++) {
                printf("%d
    ", dist[A[i].first] + dist[A[i].second] - 2 * dist[ans[i]]);
            }
        }
    }go;
    int main() {
    #ifdef LOCAL
        freopen("in.txt", "r", stdin);
        freopen("out.txt", "w+", stdout);
    #endif
        int t, n, m;
        scanf("%d", &t);
        while(t--) {
            scanf("%d %d", &n, &m);
            go.solve(n, m);
        }
        return 0;
    }
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  • 原文地址:https://www.cnblogs.com/GadyPu/p/4992920.html
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