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hdu 5111 Alexandra and Two Trees(树链剖分+函数式线段树)

2019年08月14日 编程语言 ⁄ 共 2998字 ⁄ 字号 评论关闭

hdu 5111 Alexandra and Two Trees

主要方法借鉴于 http://blog.csdn.net/u013368721/article/details/41477889

虽然想到过用树链剖分,但主席树(函数式线段树)是真没学过,通过这题算是顺便也把主席树给学了


#include<cstdio>
#include<iostream>
#include<string>
#include<cstring>
#include<algorithm>
#include<cmath>
#include<map>
using namespace std;
#define MID ( (l+r)>>1 )
#pragma comment(linker, "/STACK:1024000000,1024000000")
const int MAXN = 100005;
map<int,int> mp;
int itp[MAXN];
struct _edge
{
    int v, next;
    _edge(int _v=0, int _next=-1):v(_v),next(_next) {}
};
struct _seg
{
    int l, r;
    _seg(int ll=0, int rr=0):l(ll),r(rr) {}
} seg[MAXN];
int ns;
struct FTree
{
    FTree* ch[2];
    int siz;
} *root[MAXN], da[MAXN*50], *nf;
void build(FTree *& cur, int l, int r)
{
    cur = nf++;
    cur->siz = 0;
    if (l == r)
        return;
    int m = MID;
    build(cur->ch[0], l,m);
    build(cur->ch[1], m+1,r);
}
int query(FTree* LF, FTree* RT, int L, int R, int l, int r)
{
    if (L <= l && R >= r)
        return RT->siz-LF->siz;
    int res = 0;
    int m = MID;
    if (L <= m)
        res += query(LF->ch[0], RT->ch[0], L,R,l,m);
    if (R > m)
        res += query(LF->ch[1], RT->ch[1], L,R,m+1,r);
    return res;
}
struct node
{
    int head[MAXN], cnt, n;
    _edge e[MAXN];
    int son[MAXN], siz[MAXN], top[MAXN], fa[MAXN], dep[MAXN], pos[MAXN], np;
    void clear()
    {
        cnt = 0;
        memset(head, -1, sizeof head);
        np = 0;
    }
    void add(int u, int v)
    {
        e[cnt] = _edge(v, head[u]);
        head[u] = cnt++;
    }
    void dfs1(int u, int pre)
    {
        fa[u] = pre;
        dep[u] = dep[pre] + 1;
        siz[u] = 1;
        son[u] = 0;
        for (int i = head[u]; ~i; i=e[i].next)
        {
            int v = e[i].v;
            dfs1(v, u);
            siz[u] += siz[v];
            if (siz[son[u]] < siz[v])
                son[u] = v;
        }
    }
    void dfs2(int u, int pre)
    {
        top[u] = pre;
        pos[u] = ++np;
        if (!son[u]) return;
        dfs2(son[u], pre);
        for (int i = head[u]; ~i; i = e[i].next)
        {
            int v = e[i].v;
            if ( v!=son[u])
                dfs2(v, v);
        }
    }
    void search(int u, int v)
    {
        while (top[u] != top[v])
        {
            if (dep[top[u]] > dep[top[v]]) swap(u,v);
            seg[ns++] = _seg(pos[top[v]], pos[v]);
            v = fa[top[v]];
        }
        if (dep[u] > dep[v]) swap(u, v);
        seg[ns++] = _seg(pos[u], pos[v]);
    }
    int solve(int u, int v, _seg seg[], int m)
    {
        int res = 0;
        while (top[u] != top[v])
        {
            if (dep[top[u]] > dep[top[v]]) swap(u,v);
            for (int i = 0; i< ns; ++i)
                res += query(root[pos[top[v]]-1], root[pos[v]], seg[i].l, seg[i].r, 1, m);
            v = fa[top[v]];
        }
        if (dep[u] > dep[v]) swap(u, v);
        for (int i = 0; i< ns; ++i)
            res += query(root[pos[u]-1], root[pos[v]], seg[i].l, seg[i].r, 1, m);
        return res;
    }
} NA, NB;

void insert(FTree* &cur, FTree* old, int x, int l, int r)
{
    cur = nf++;
    if (l == r)
    {
        cur->siz = old->siz + 1;
        return;
    }
    int m = MID;
    if (x <= m)
    {
        cur->ch[1] = old->ch[1];
        insert(cur->ch[0], old->ch[0], x, l, m);
    }
    else
    {
        cur->ch[0] = old->ch[0];
        insert(cur->ch[1], old->ch[1], x, m+1,r);
    }
    cur->siz = cur->ch[0]->siz + cur->ch[1]->siz;
}
void init()
{
    NA.clear();
    NB.clear();
    mp.clear();
    nf = da;
    memset(root, 0, sizeof root);
}

int main()
{
#ifndef ONLINE_JUDGE
    freopen("in.txt", "r", stdin);
#endif
    int u, q, v, a, b;
    while (scanf("%d", &NA.n) != EOF)
    {
        init();
        for (int i = 1; i< NA.n; ++i)
        {
            scanf("%d", &u);
            NA.add(u, i+1);
        }
        NA.dfs1(1, 0);
        NA.dfs2(1, 1);
        for (int i = 1; i<= NA.n; ++i)
            scanf("%d", &u), mp[u] = NA.pos[i];
        scanf("%d", &NB.n);
        for (int i = 1; i< NB.n; ++i)
        {
            scanf("%d", &u);
            NB.add(u, i+1);
        }
        NB.dfs1(1, 0);
        NB.dfs2(1, 1);
        for (int i = 1; i<= NB.n; ++i)
        {
            scanf("%d", &u);
            itp[NB.pos[i]] = mp.count(u)?mp[u]:0;
        }
        build(root[0], 1, NA.n);
        for (int i = 1; i<= NB.n; ++i)
        {
            if (itp[i])
                insert(root[i], root[i-1], itp[i], 1, NA.n);
            else
                root[i] = root[i-1];
        }
        scanf("%d", &q);
        while (q--)
        {
            scanf("%d%d%d%d", &u, &v, &a, &b);
            ns = 0;
            NA.search(u, v);
            printf("%d\n", NB.solve(a, b, seg, NA.n));
        }
    }
    return 0;
}

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