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  • HYSBZ 1036 树的统计Count (水题树链剖分)

    题意:中文题。

    析:就是直接维护一个最大值和一个和,用线段树维护即可,这个题很简单,但是我卡了一晚上,就是在定位的时候,位置直接反过来了,但是样例全过了。。。真是。。。

    代码如下:

    #pragma comment(linker, "/STACK:1024000000,1024000000")
    #include <cstdio>
    #include <string>
    #include <cstdlib>
    #include <cmath>
    #include <iostream>
    #include <cstring>
    #include <set>
    #include <queue>
    #include <algorithm>
    #include <vector>
    #include <map>
    #include <cctype>
    #include <cmath>
    #include <stack>
    #include <sstream>
    #define debug() puts("++++");
    #define gcd(a, b) __gcd(a, b)
    #define lson l,m,rt<<1
    #define rson m+1,r,rt<<1|1
    #define freopenr freopen("in.txt", "r", stdin)
    #define freopenw freopen("out.txt", "w", stdout)
    using namespace std;
    
    typedef long long LL;
    typedef unsigned long long ULL;
    typedef pair<int, int> P;
    const int INF = 0x3f3f3f3f;
    const LL LNF = 1e16;
    const double inf = 0x3f3f3f3f3f3f;
    const double PI = acos(-1.0);
    const double eps = 1e-8;
    const int maxn = 30000 + 10;
    const int mod = 1e9 + 7;
    const int dr[] = {-1, 0, 1, 0};
    const int dc[] = {0, 1, 0, -1};
    const char *de[] = {"0000", "0001", "0010", "0011", "0100", "0101", "0110", "0111", "1000", "1001", "1010", "1011", "1100", "1101", "1110", "1111"};
    int n, m;
    const int mon[] = {0, 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31};
    const int monn[] = {0, 31, 29, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31};
    inline bool is_in(int r, int c){
      return r >= 0 && r < n && c >= 0 && c < m;
    }
    
    struct Edge{
      int to, next;
    };
    Edge edge[maxn<<1];
    int head[maxn], cnt, fa[maxn];
    int dep[maxn], top[maxn], num[maxn];
    int son[maxn], p[maxn], pos, a[maxn], fp[maxn];
    int sum[maxn<<2], maxv[maxn<<2];
    
    void init(){
      memset(son, -1, sizeof son);
      cnt = 0; pos = 1;
      memset(head, -1, sizeof head);
    }
    
    void add_edge(int u, int v){
      edge[cnt].to = v;
      edge[cnt].next = head[u];
      head[u] = cnt++;
    }
    
    void dfs1(int u, int f, int d){
      dep[u] = d;  fa[u] = f;
      num[u] = 1;
      for(int i = head[u]; ~i; i = edge[i].next){
        int v = edge[i].to;
        if(v == f)  continue;
        dfs1(v, u, d+1);
        num[u] += num[v];
        if(son[u] == -1 || num[v] > num[son[u]])  son[u] = v;
      }
    }
    
    void dfs2(int u, int sp){
      top[u] = sp; p[u] = pos++;
      fp[p[u]] = u;
      if(son[u] == -1)  return ;
      dfs2(son[u], sp);
      for(int i = head[u]; ~i; i = edge[i].next){
        int v = edge[i].to;
        if(v == fa[u] || v == son[u])  continue;
        dfs2(v, v);
      }
    }
    
    void push_up(int rt){
      sum[rt] = sum[rt<<1] + sum[rt<<1|1];
      maxv[rt] = max(maxv[rt<<1], maxv[rt<<1|1]);
    }
    
    void build(int l, int r, int rt){
      if(l == r){
        sum[rt] = maxv[rt] = a[fp[l]];
        return ;
      }
      int m = l + r >> 1;
      build(lson);
      build(rson);
      push_up(rt);
    }
    
    void update(int M, int val, int l, int r, int rt){
      if(l == r){
        sum[rt] = maxv[rt] = val;
        return ;
      }
      int m = l + r >> 1;
      if(M <= m)  update(M, val, lson);
      else  update(M, val, rson);
      push_up(rt);
    }
    
    int queryMax(int L, int R, int l, int r, int rt){
      if(L <= l && r <= R)  return maxv[rt];
      int m = l + r >> 1;
      int ans = -INF;
      if(L <= m)  ans = queryMax(L, R, lson);
      if(R > m)   ans = max(ans, queryMax(L, R, rson));
      return ans;
    }
    
    int querySum(int L, int R, int l, int r, int rt){
      if(L <= l && r <= R)  return sum[rt];
      int m = l + r >> 1;
      int ans = 0;
      if(L <= m)  ans = querySum(L, R, lson);
      if(R > m)   ans += querySum(L, R, rson);;
      return ans;
    }
    
    int solve(int u, int v, bool ok){
      int f1 = top[u], f2 = top[v];
      int ans = -INF;
      if(ok) ans = 0;
      while(f1 != f2){
        if(dep[f1] < dep[f2]){
          swap(f1, f2);
          swap(u, v);
        }
        if(ok)  ans += querySum(p[f1], p[u], 1, n, 1);
        else  ans = max(ans, queryMax(p[f1], p[u], 1, n, 1));
        u = fa[f1];
        f1 = top[u];
      }
      if(dep[u] > dep[v])  swap(u, v);
      if(ok)  return ans + querySum(p[u], p[v], 1, n, 1);
      return max(ans, queryMax(p[u], p[v], 1, n, 1));
    }
    
    int main(){
      while(scanf("%d", &n) == 1){
        init();
        for(int i = 1; i < n; ++i){
          int u, v;
          scanf("%d %d", &u, &v);
          add_edge(u, v);
          add_edge(v, u);
        }
        for(int i = 1; i <= n; ++i)  scanf("%d", a+i);
        dfs1(1, 0, 0);
        dfs2(1, 1);
        build(1, n, 1);
        scanf("%d", &m);
        while(m--){
          char op[10];
          int u, v;
          scanf("%s %d %d", op, &u, &v);
          if(op[0] == 'C')  update(p[u], v, 1, n, 1);
          else  printf("%d
    ", solve(u, v, op[1] == 'S'));
        }
      }
      return 0;
    }
    

      

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  • 原文地址:https://www.cnblogs.com/dwtfukgv/p/7342597.html
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