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  • CodeForces 519E 树形DP A and B and Lecture Rooms

    给出一棵树,有若干次询问,每次询问距两个点u, v距离相等的点的个数。

    情况还挺多的,少侠不妨去看官方题解。^_^

      1 #include <iostream>
      2 #include <cstdio>
      3 #include <cstring>
      4 #include <algorithm>
      5 #include <vector>
      6 using namespace std;
      7 
      8 const int maxn = 100000 + 10;
      9 
     10 int n, Q;
     11 vector<int> G[maxn];
     12 
     13 int L[maxn];
     14 int fa[maxn];
     15 int sz[maxn];
     16 
     17 void dfs(int u)
     18 {
     19     sz[u] = 1;
     20     for(int i = 0; i < G[u].size(); i++)
     21     {
     22         int v = G[u][i];
     23         if(v == fa[u]) continue;
     24         fa[v] = u;
     25         L[v] = L[u] + 1;
     26         dfs(v);
     27         sz[u] += sz[v];
     28     }
     29 }
     30 
     31 const int logmaxn = 20;
     32 int anc[maxn][logmaxn];
     33 
     34 int ancestor(int a, int x)
     35 {
     36     if(!x) return a;
     37     for(int i = 0; (1 << i) <= x; i++)
     38         if(x & (1 << i)) a = anc[a][i];
     39 
     40     return a;
     41 }
     42 
     43 int LCA(int p, int q)
     44 {
     45     if(L[p] < L[q]) swap(p, q);
     46     int log;
     47     for(log = 1; (1 << log) <= L[p]; log++); log--;
     48     for(int i = log; i >= 0; i--)
     49         if(L[p] - (1 << i) >= L[q]) p = anc[p][i];
     50     if(p == q) return p;
     51     for(int i = log; i >= 0; i--)
     52         if(anc[p][i] && anc[p][i] != anc[q][i])
     53             p = anc[p][i], q = anc[q][i];
     54     return fa[p];
     55 }
     56 
     57 int main()
     58 {
     59     //freopen("in.txt", "r", stdin);
     60 
     61     scanf("%d", &n);
     62     for(int i = 1; i < n; i++)
     63     {
     64         int u, v; scanf("%d%d", &u, &v);
     65         G[u].push_back(v);
     66         G[v].push_back(u);
     67     }
     68 
     69     dfs(1);
     70 
     71     for(int i = 1; i <= n; i++) anc[i][0] = fa[i];
     72     for(int j = 1; (1 << j) < n; j++)
     73         for(int i = 1; i <= n; i++) if(anc[i][j-1])
     74             anc[i][j] = anc[anc[i][j-1]][j-1];
     75 
     76     scanf("%d", &Q);
     77     while(Q--)
     78     {
     79         int u, v; scanf("%d%d", &u, &v);
     80 
     81         if(u == v) { printf("%d
    ", n); continue; }
     82 
     83         int l = LCA(u, v);
     84 
     85         if((L[u] + L[v] - L[l] * 2) & 1) { puts("0"); continue; }
     86 
     87         if(L[u] == L[v])
     88         {
     89             int t = L[u] - L[l];
     90             int uu = ancestor(u, t - 1), vv = ancestor(v, t - 1);
     91             printf("%d
    ", n - sz[uu] - sz[vv]);
     92             continue;
     93         }
     94 
     95         if(L[u] < L[v]) swap(u, v);
     96         int t = L[u] + L[v] - L[l] * 2;
     97         int p1 = ancestor(u, t / 2);
     98         int p2 = ancestor(u, t / 2 - 1);
     99         printf("%d
    ", sz[p1] - sz[p2]);
    100     }
    101 
    102     return 0;
    103 }
    代码君
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  • 原文地址:https://www.cnblogs.com/AOQNRMGYXLMV/p/4720731.html
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