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  • spoj COT2

    题目链接

    http://codeforces.com/blog/entry/43230树上莫队从这里学的,  受益匪浅..

    #include <iostream>
    #include <vector>
    #include <cstdio>
    #include <cstring>
    #include <algorithm>
    #include <cmath>
    #include <map>
    #include <set>
    #include <string>
    #include <queue>
    #include <stack>
    #include <bitset>
    using namespace std;
    #define pb(x) push_back(x)
    #define ll long long
    #define mk(x, y) make_pair(x, y)
    #define lson l, m, rt<<1
    #define mem(a) memset(a, 0, sizeof(a))
    #define rson m+1, r, rt<<1|1
    #define mem1(a) memset(a, -1, sizeof(a))
    #define mem2(a) memset(a, 0x3f, sizeof(a))
    #define rep(i, n, a) for(int i = a; i<n; i++)
    #define fi first
    #define se second
    typedef pair<int, int> pll;
    const double PI = acos(-1.0);
    const double eps = 1e-8;
    const int mod = 1e9+7;
    const int inf = 1061109567;
    const int dir[][2] = { {-1, 0}, {1, 0}, {0, -1}, {0, 1} };
    const int maxn = 4e4+5;
    int in[maxn], head[maxn], num, out[maxn], cnt, val[maxn], ans[100005], a[maxn];
    int f[maxn], d[maxn], p[maxn][20], n, m, vis[maxn], times[maxn], res, id[maxn*2];
    struct node
    {
        int to, nextt;
    }e[maxn*2];
    struct query
    {
        int l, r, lca, id, block;
        bool operator < (query a) const
        {
            if(block == a.block)
                return r<a.r;
            return block<a.block;
        }
    }q[100005];
    void add(int u, int v) {
        e[num].to = v, e[num].nextt = head[u], head[u] = num++;
    }
    void init() {
        mem1(head);
        mem1(p);
    }
    void dfs(int u, int fa) {
        in[u] = ++cnt;
        id[cnt] = u;
        f[u] = fa;
        for(int i = head[u]; ~i; i = e[i].nextt) {
            int v = e[i].to;
            if(v == fa)
                continue;
            d[v] = d[u]+1;
            dfs(v, u);
        }
        out[u] = ++cnt;
        id[cnt] = u;
    }
    void initLca() {
        int i, j;
        for(i = 1; i<=n; i++) {
            p[i][0] = f[i];
        }
        for(j = 1; (1<<j)<=n; j++) {
            for(i = 1; i<=n; i++) {
                if(~p[i][j-1])
                    p[i][j] = p[p[i][j-1]][j-1];
            }
        }
    }
    int lca(int u, int v) {
        if(d[u]<d[v])
            swap(u, v);
        int i, j;
        for(i = 0; (1<<i)<=d[u]; i++)
            ;
        i--;
        for(j = i; j>=0; j--)
            if(d[u]-(1<<j)>=d[v])
                u = p[u][j];
        if(u == v)
            return v;
        for(j = i; j>=0; j--) {
            if(p[u][j] != -1 && p[u][j] != p[v][j]) {
                u = p[u][j];
                v = p[v][j];
            }
        }
        return f[u];
    }
    void check(int x) {
        if(vis[x] && --times[val[x]]==0) {
            res--;
        } else if(vis[x]==0 && times[val[x]]++ == 0) {
            res++;
        }
        vis[x]^=1;
    }
    void cal() {
        int L = q[0].l, R = q[0].l-1;
        for(int i = 0; i<m; i++) {
            while(L<q[i].l) {
                check(id[L++]);
            }
            while(L>q[i].l) {
                check(id[--L]);
            }
            while(R<q[i].r) {
                check(id[++R]);
            }
            while(R>q[i].r) {
                check(id[R--]);
            }
            if(q[i].lca != id[q[i].l] && q[i].lca != id[q[i].r]) {
                check(q[i].lca);
            }
            ans[q[i].id] = res;
            if(q[i].lca != id[q[i].l] && q[i].lca != id[q[i].r]) {
                check(q[i].lca);
            }
        }
    }
    int main()
    {
        int u, v;
        cin>>n>>m;
        int BLOCK = sqrt(n);
        init();
        for(int i = 1; i<=n; i++) {
            scanf("%d", &val[i]);
            a[i-1] = val[i];
        }
        sort(a, a+n);
        int N = unique(a, a+n)-a;
        for(int i = 1; i<=n; i++) {
            val[i] = lower_bound(a, a+N, val[i])-a+1;
        }
        for(int i = 0; i<n-1; i++) {
            scanf("%d%d", &u, &v);
            add(u, v);
            add(v, u);
        }
        d[1] = 1;
        dfs(1, -1);
        initLca();
        for(int i = 0; i<m; i++) {
            scanf("%d%d", &u, &v);
            if(in[u]>in[v])
                swap(u, v);
            q[i].lca = lca(u, v);
            if(q[i].lca == u) {
                q[i].l = in[u];
                q[i].r = in[v];
            } else {
                q[i].l = out[u];
                q[i].r = in[v];
            }
            q[i].block = q[i].l/BLOCK;
            q[i].id = i;
        }
        sort(q, q+m);
        cal();
        for(int i = 0; i<m; i++) {
            printf("%d
    ", ans[i]);
        }
        return 0;
    }
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  • 原文地址:https://www.cnblogs.com/yohaha/p/5274712.html
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