Topic links: https://www.luogu.com.cn/problem/CF1324F
Outline of Solution:
sides dfs, seeking the first pass \ ([i] f1 \) represented by \ (I \) as a root node and comprising \ (I \) maxima; seeking second pass \ (f2 [i] \) represents \ (I \) to take the parent node (and does not include \ (I \) of the maximum value) ( \ (F2 [I] \ GE 0 \) , if the \ (f2 [i] == 0 \) can be understood as \ (i \) those are not the top).
Codes are as follows:
#include <bits/stdc++.h>
using namespace std;
const int maxn = 200020;
int n, a[maxn], f1[maxn], pa[maxn], f2[maxn];
vector<int> g[maxn];
void dfs1(int u) {
f1[u] = a[u];
int sz = g[u].size();
for (int i = 0; i < sz; i ++) {
int v = g[u][i];
if (v == pa[u]) continue;
pa[v] = u;
dfs1(v);
if (f1[v] > 0) f1[u] += f1[v];
}
}
void dfs2(int u) {
f2[u] = 0;
if (pa[u]) {
int pp = pa[u];
if (f1[u] > 0) f2[u] = f1[pp] + f2[pp] - f1[u];
else f2[u] = f1[pp] + f2[pp];
if (f2[u] < 0) f2[u] = 0;
}
int sz = g[u].size();
for (int i = 0; i < sz; i ++) {
int v = g[u][i];
if (v == pa[u]) continue;
dfs2(v);
}
}
int main() {
scanf("%d", &n);
for (int i = 1; i <= n; i ++) {
scanf("%d", a+i);
if (!a[i]) a[i] = -1;
}
for (int i = 1; i < n; i ++) {
int u, v;
scanf("%d%d", &u, &v);
g[u].push_back(v);
g[v].push_back(u);
}
dfs1(1);
dfs2(1);
for (int i = 1; i <= n; i ++) {
if (i > 1) putchar(' ');
int res = f1[i];
if (f2[i] > 0) res += f2[i];
printf("%d", res);
}
puts("");
return 0;
}