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  • [USACO15DEC]最大流Max Flow

    https://www.luogu.org/problemnew/show/P3128

    树链剖分 模板题

    #include <bits/stdc++.h>
    
    using namespace std;
    const int N = 5e4 + 10;
    
    #define gc getchar()
    #define lson jd << 1
    #define rson jd << 1 | 1
    #define important T[jd].w = T[lson].w + T[rson].w
    
    struct Node_1{
        int siz, son, fa, deep, tree, toop;
    }P[N];
    struct Node_2{
        int v, nxt;
    }G[N << 1];
    struct Node_3{
        int l, r, f, w;
    }T[N << 2];
    int n, Ti, now = 1, head[N], tim, bef[N];
    int answer;
    
    inline int read(){
        int x = 0; char c = gc;
        while(c < '0' || c > '9') c = gc;
        while(c >= '0' && c <= '9') x = x * 10 + c - '0', c = gc;
        return x;
    }
    
    inline void add(int u, int v){ 
        G[now].v = v; 
        G[now].nxt = head[u]; 
        head[u] = now ++;
    }
    
    void dfs_find_son(int u, int fa, int dep){
        P[u].fa = fa;
        P[u].deep = dep;
        P[u].siz = 1;
        for(int i = head[u]; ~ i; i = G[i].nxt){
            int v = G[i].v;
            if(v != fa) {
                dfs_find_son(v, u, dep + 1);
                P[u].siz += P[v].siz;
                if(P[v].siz > P[P[u].son].siz) P[u].son = v;
            }
        }
    }
    
    void dfs_to_un(int u, int tp){
        P[u].toop = tp;
        P[u].tree = ++ tim;
        bef[tim] = u;
        if(!P[u].son) return ;
        dfs_to_un(P[u].son, tp);
        for(int i = head[u]; ~ i; i = G[i].nxt){
            int v = G[i].v;
            if(v != P[u].son && v != P[u].fa) dfs_to_un(v, v);
        }
    }
    
    void down(int jd){
        int F = T[jd].f;
        T[lson].w += (T[lson].r - T[lson].l + 1) * F;
        T[rson].w += (T[rson].r - T[rson].l + 1) * F;
        T[lson].f += F;
        T[rson].f += F;
        T[jd].f = 0;
    }
    
    void Sec_G(int l, int r, int jd, int x, int y){
        if(x <= l && r <= y){
            int yj = (r - l) + 1;
            T[jd].w += yj;
            T[jd].f ++;
            return ;
        }
        if(T[jd].f) down(jd);
        int mid = (l + r) >> 1;
        if(x <= mid) Sec_G(l, mid, lson, x, y);
        if(y > mid) Sec_G(mid + 1, r, rson, x, y);
        important;
    }
    
    inline void Sec_G_imp(int x, int y){
        int tp1 = P[x].toop, tp2 = P[y].toop;
        while(tp1 != tp2){
            if(P[tp1].deep < P[tp2].deep) swap(x, y), swap(tp1, tp2);
            Sec_G(1, n, 1, P[tp1].tree, P[x].tree);
            x = P[tp1].fa;
            tp1 = P[x].toop;
        }
        if(P[x].deep < P[y].deep) Sec_G(1, n, 1, P[x].tree, P[y].tree);
        else Sec_G(1, n, 1, P[y].tree, P[x].tree);
        return ;
    }
    
    void Ask_ans(int l, int r, int jd){
        if(l == r) {
            answer = max(answer, T[jd].w);
            return ;    
        }
        if(T[jd].f) down(jd);
        int mid = (l + r) >> 1;
        Ask_ans(l, mid, lson);
        Ask_ans(mid + 1, r, rson);
    }
    
    int main()
    {
        n = read(); Ti = read();
        for(int i = 1; i <= n; i ++) head[i] = -1;
        for(int i = 1; i < n; i ++){
            int u = read(), v = read();
            add(u, v); add(v, u);
        }
        dfs_find_son(1, 0, 1);
        dfs_to_un(1, 1);
        while(Ti --){
            int x = read(), y = read();
            Sec_G_imp(x, y);
        }
        Ask_ans(1, n, 1);
        printf("%d", answer);
        return 0;
    }
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  • 原文地址:https://www.cnblogs.com/shandongs1/p/8010542.html
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