• Codeforces 620E New Year Tree【线段树傻逼题】


    LINK


    题目大意

    给你一棵树
    让你支持子树染色,子树查询颜色个数,颜色数<=60, 节点数<=4e5


    思路

    因为颜色数很少,考虑状态压缩变成二进制

    然后直接在dfs序上用线段树维护就可以了


    //Author: dream_maker
    #include<bits/stdc++.h>
    using namespace std;
    //----------------------------------------------
    //typename
    typedef long long ll;
    //convenient for
    #define fu(a, b, c) for (int a = b; a <= c; ++a)
    #define fd(a, b, c) for (int a = b; a >= c; --a)
    #define fv(a, b) for (int a = 0; a < (signed)b.size(); ++a)
    //inf of different typename
    const int INF_of_int = 1e9;
    const ll INF_of_ll = 1e18;
    //fast read and write
    template <typename T>
    void Read(T &x) {
      bool w = 1;x = 0;
      char c = getchar();
      while (!isdigit(c) && c != '-') c = getchar();
      if (c == '-') w = 0, c = getchar();
      while (isdigit(c)) {
        x = (x<<1) + (x<<3) + c -'0';
        c = getchar();
      }
      if (!w) x = -x;
    }
    template <typename T>
    void Write(T x) {
      if (x < 0) {
        putchar('-');
        x = -x; 
      }
      if (x > 9) Write(x / 10);
      putchar(x % 10 + '0');
    }
    //----------------------------------------------
    const int N = 4e5 + 10;
    ll val[N << 2], tag[N << 2];
    #define LD (t << 1)
    #define RD (t << 1 | 1)
    void pushup(int t) {
      val[t] = val[LD] | val[RD];
    }
    void pushnow(int t, ll vl) {
      val[t] = tag[t] = vl;
    }
    void pushdown(int t) {
      if (tag[t]) {
        pushnow(LD, tag[t]);
        pushnow(RD, tag[t]);
        tag[t] = 0;
      }
    }
    void modify(int t, int l, int r, int ql, int qr, ll vl) {
      if (ql <= l && r <= qr) {
        pushnow(t, vl);
        return;
      }
      pushdown(t);
      int mid = (l + r) >> 1;
      if (qr <= mid) modify(LD, l, mid, ql, qr, vl);
      else if (ql > mid) modify(RD, mid + 1, r, ql, qr, vl);
      else {
        modify(LD, l, mid, ql, mid, vl);
        modify(RD, mid + 1, r, mid + 1, qr, vl);
      }
      pushup(t);
    }
    ll query(int t, int l, int r, int ql, int qr) {
      if (ql <= l && r <= qr) return val[t];
      pushdown(t);
      int mid = (l + r) >> 1;ll ans;
      if (qr <= mid) ans = query(LD, l, mid, ql, qr);
      else if (ql > mid) ans = query(RD, mid + 1, r, ql, qr);
      else ans = query(LD, l, mid, ql, mid) | query(RD, mid + 1, r, mid + 1, qr);
      pushup(t);
      return ans;
    }
    struct Edge {
      int v, nxt;
    } E[N << 1];
    int head[N], tot = 0;
    int bg[N], ed[N], ind = 0;
    int n, m, c[N];
    void add(int u, int v) {
      E[++tot] = (Edge) {v, head[u]};
      head[u] = tot;
    }
    void dfs(int u, int fa) {
      bg[u] = ++ind;
      for (int i = head[u]; i; i = E[i].nxt) {
        int v = E[i].v;
        if (v == fa) continue;
        dfs(v, u);
      }
      ed[u] = ind;
    }
    int bitcnt(ll a) {
      int res = 0;
      while (a) {
        if (a & 1) ++res;
        a >>= 1;
      }
      return res;
    }
    int main() {
      //freopen("input.txt", "r", stdin);
      Read(n), Read(m);
      fu(i, 1, n) Read(c[i]);
      fu(i, 2, n) {
        int u, v;
        Read(u), Read(v);
        add(u, v);
        add(v, u);
      }
      dfs(1, 0);
      fu(i, 1, n) modify(1, 1, n, bg[i], bg[i], 1ll << c[i]);
      while (m--) {
        int op; Read(op);
        switch(op) {
          case 1: {
            int x, col; Read(x), Read(col);
            modify(1, 1, n, bg[x], ed[x], 1ll << col);
            break;
          }
          case 2: {
            int x; Read(x);
            Write(bitcnt(query(1, 1, n, bg[x], ed[x])));
            putchar('
    ');
            break;
          }
        }
      }
      return 0;
    }
    
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  • 原文地址:https://www.cnblogs.com/dream-maker-yk/p/9818757.html
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