[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;
}
原文地址:https://www.cnblogs.com/shandongs1/p/8010542.html