• 树状数组 || POJ 3321 Apple Tree


    一道dfs序+树状数组的题

    因为并没有get到dfs序以及对树状数组也不熟练卡了很久orz

    dfs序:

    in和out是时间戳

    dfs序可以将树转化成为一个序列,满足区间 -> 子树

    然后就可以用树状数组之类的维护序列的东东来维护了

    int idx = 0;
    void dfs(int u, int fa)
    {
        seq[++idx] = u;
        in[u] = idx;
        for(int i = head[u];i;i = nxt[i])
        {
            int v = l[i];
            if(v != fa)
            {
                dfs(v, u);
            }
        }
        out[u] = idx;
    }
    View Code
    #include <iostream>
    #include <cstdio>
    #include <cstring>
    #include <cmath>
    #include <algorithm>
    #include <queue>
    using namespace std;
    const int SZ = 200010;
    const int INF = 1e9+10;
    int head[SZ], nxt[SZ], l[SZ], tot = 0;
    int in[SZ], out[SZ], seq[SZ], a[SZ];
    void build(int f, int t)
    {
        l[++tot] = t;
        nxt[tot] = head[f];
        head[f] = tot;
    }
    int idx = 0;
    void dfs(int u, int fa)
    {
        seq[++idx] = u;
        in[u] = idx;
        for(int i = head[u];i;i = nxt[i])
        {
            int v = l[i];
            if(v != fa)
            {
                dfs(v, u);
            }
        }
        out[u] = idx;
    }
    int d[SZ], n;
    void add(int i, int x)
    {
        for(; i <= n; i += (i & -i))
            d[i] += x;
    }
    int get(int i)
    {
        int ans = 0;
        for(;i;i -= (i & -i))
            ans += d[i];
        return ans;
    }
    int query(int l, int r)
    {
        return get(r) - get(l - 1);
    }
    int main()
    {
        scanf("%d", &n);
        for(int i = 0; i < n-1; i++)
        {
            int x, y;
            scanf("%d %d", &x, &y);
            build(x, y);
            build(y, x);
        }
        dfs(1, 0);
        /*for(int i = 0; i < 11; i++) printf("%d ", in[i]); printf("
    ");
        for(int i = 0; i < 11; i++) printf("%d ", out[i]); printf("
    ");
        for(int i = 0; i < 25; i++) printf("%d ", seq[i]); printf("
    ");*/
        int m;
        scanf("%d", &m);
        for(int i = 1; i <= n; i++)
            add(i, 1), a[i] = 1;
        while(m--)
        {
            char op;
            int x;
            scanf("%c", &op);
            scanf("%c", &op);
            scanf("%d", &x);
            if(op == 'Q')
                printf("%d
    ", query(in[x], out[x]));
            if(op == 'C')
            {
                if(a[in[x]]) {a[in[x]] = 0; add(in[x], -1); }
                else {a[in[x]] = 1; add(in[x], 1); }
            }
        }
        return 0;
    }
    View Code
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  • 原文地址:https://www.cnblogs.com/pinkglightning/p/9520828.html
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