This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#define ll long long
#define ull unsigned long long
#define lsb(x) (x & (-x))
using namespace std;
const int MAXN = (int) 1e6;
vector <int> g[MAXN + 1];
int down[MAXN + 1], sz[MAXN + 1];
void dfs(int nod, int par, ll &sum) {
sz[nod] = 1;
for(auto it : g[nod]) {
if(it != par) {
dfs(it, nod, sum);
down[nod] = max(down[nod], down[it] + 1);
sz[nod] += sz[it];
sum += sz[it];
}
}
}
ll sol[MAXN + 1];
int n;
void solve(int nod, int par, ll sum, int mx_down) {
int mx = n - sz[nod];
multiset <int> mst;
for(auto it : g[nod]) {
if(it != par) {
mx = max(mx, sz[it]);
mst.insert(down[it]);
}
}
if(mx <= (n - 1) - mx + 1) {
if(mx < (n - 1) - mx + 1) {
sol[nod] = 2LL * sum - max(mx_down, down[nod]);
}
else {
if(mx == n - sz[nod]) {
sol[nod] = 2LL * sum - mx_down;
}
else {
for(auto it : g[nod]) {
if(it != par && sz[it] == mx) {
sol[nod] = 2LL * sum - (down[it] + 1);
}
}
}
}
}
else {
sol[nod] = -1;
}
for(auto it : g[nod]) {
if(it != par) {
mst.erase(mst.find(down[it]));
int cur = -2 * MAXN;
if(mst.size()) {
cur = *prev(mst.end());
}
solve(it, nod, sum - 2LL * sz[it] + n, max(mx_down + 1, cur + 2));
mst.insert(down[it]);
}
}
}
int main() {
//ifstream cin("A.in");
//ofstream cout("A.out");
int i;
ios::sync_with_stdio(false);
cin.tie(0), cout.tie(0);
cin >> n;
for(i = 1; i < n; i++) {
int x, y;
cin >> x >> y;
g[x].push_back(y);
g[y].push_back(x);
}
ll sum = 0;
dfs(1, 0, sum);
solve(1, 0, sum, 0);
for(i = 1; i <= n; i++) {
cout << sol[i] << "\n";
}
return 0;
}
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