洛谷U639895 树上子树颜色询问2 题解 树上启发式合并(dsu on tree)
题目链接:https://www.luogu.com.cn/problem/U639895
解题思路:
基本上和第一题一样。树上启发式合并。
示例程序:
#include <bits/stdc++.h>
using namespace std;
const int maxn = 2e5 + 5;
int n, m, c[maxn], t[maxn], ans[maxn], sz[maxn], son[maxn];
vector<int> g[maxn];
struct Query {
int id, c;
};
vector<Query> query[maxn];
void getsz(int u, int p) {
sz[u] = 1;
for (auto v : g[u]) {
if (v != p) {
getsz(v, u);
sz[u] += sz[v];
if (sz[v] > sz[ son[u] ])
son[u] = v;
}
}
}
void dfs_clean(int u, int p) {
t[ c[u] ]--;
for (auto v : g[u])
if (v != p)
dfs_clean(v, u);
}
void dfs(int u, int p, bool keep) {
for (auto v : g[u])
if (v != p && v != son[u])
dfs(v, u, false);
if (son[u])
dfs(son[u], u, true);
for (auto v : g[u])
if (v != p && v != son[u])
dfs(v, u, true);
t[ c[u] ]++;
for (auto &[id, c] : query[u])
ans[id] = t[c];
query[u].clear();
if (!keep)
dfs_clean(u, p);
}
int main() {
scanf("%d", &n);
for (int i = 1; i <= n; i++)
scanf("%d", c+i);
for (int i = 1, u, v; i < n; i++) {
scanf("%d%d", &u, &v);
g[u].push_back(v);
g[v].push_back(u);
}
scanf("%d", &m);
for (int i = 1, u, c; i <= m; i++) {
scanf("%d%d", &u, &c);
query[u].push_back({i, c});
}
getsz(1, -1);
dfs(1, -1, true);
for (int i = 1; i <= m; i++)
printf("%d\n", ans[i]);
return 0;
}
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