BZOJ #5457: 城市 [线段树合并]
线段树合并的板子题,每次从下到上合并就完事了
// by Isaunoya
#include <bits/stdc++.h>
using namespace std;
#define rep(i, j, n) for (int i = j; i <= n; i++)
#define in cin
#define out cout
#define pii pair<int, int>
#define fir first
#define sec second
int n, m;
const int maxn = 4e5 + 54;
int rt[maxn], ls[maxn << 5], rs[maxn << 5], cnt = 0;
pii mx[maxn << 5], ans[maxn];
void upd(int& p, int l, int r, int x, int v) {
if (!p) p = ++cnt;
if (l == r) {
mx[p] = { v, -x };
return;
}
int mid = l + r >> 1;
if (x <= mid)
upd(ls[p], l, mid, x, v);
else
upd(rs[p], mid + 1, r, x, v);
mx[p] = max(mx[ls[p]], mx[rs[p]]);
}
int merge(int x, int y, int l, int r) {
if (!x || !y) return x | y;
if (l == r) {
mx[x].fir += mx[y].fir;
return x;
}
int mid = l + r >> 1;
ls[x] = merge(ls[x], ls[y], l, mid);
rs[x] = merge(rs[x], rs[y], mid + 1, r);
mx[x] = max(mx[ls[x]], mx[rs[x]]);
return x;
}
vector<int> g[maxn];
int fa[maxn];
void dfs(int u) {
// for (int v : g[u])
// if (fa[u] ^ v) fa[v] = u, dfs(v);
for (int i = 0; i < g[u].size(); i++) {
int v = g[u][i];
if (fa[u] ^ v) {
fa[v] = u;
dfs(v);
}
}
ans[u] = mx[rt[u]];
rt[fa[u]] = merge(rt[fa[u]], rt[u], 1, n);
}
signed main() {
// code begin.
ios ::sync_with_stdio(false);
cin.tie(0), cout.tie(0);
in >> n >> m;
rep(i, 2, n) {
int u, v;
in >> u >> v;
g[u].push_back(v);
g[v].push_back(u);
}
rep(i, 1, n) {
int a, b;
in >> a >> b;
upd(rt[i], 1, n, a, b);
}
dfs(1);
rep(i, 1, n) out << -ans[i].sec << ' ' << ans[i].fir << '\n';
return out.flush(), 0;
// code end.
}