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>
using namespace std;
#ifdef LOCAL
#define deb(...) logger(#__VA_ARGS__, __VA_ARGS__)
template<typename ...Args>
void logger(string vars, Args&&... values) {
cerr<<vars<<" = ";
string delim="";
(...,(cerr<<delim<<values,delim=", "));
cerr<<"\n";
}
#else
#define deb(...) logger(#__VA_ARGS__, __VA_ARGS__)
template<typename ...Args>
void logger(string vars, Args&&... values) {}
#endif
#define pb push_back
#define sz(x) (int)(x.size())
typedef long long ll;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
template<typename T> inline void maxa(T& a,T b){a=max(a,b);}
template<typename T> inline void mina(T& a,T b){a=min(a,b);}
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const int mxN=1e6+5; //make sure this is right
const int mod=1e9+7;
vector<int> graph[mxN];
ll sub[mxN],sub2[mxN],up[mxN],down[mxN],par[mxN],dp[mxN],dp2[mxN];
void dfs(int at,int p){
sub[at]=1;
for(int &i:graph[at]){
if(i==p) continue;
par[i]=at;
dfs(i,at);
sub[at]+=sub[i];
dp[at]+=dp[i]+sub[i];
maxa(down[at],down[i]+1);
}
}
void dfs2(int at,int p){
vector<ll> all;
sub2[at]++;
for(int &i:graph[at]){
if(i==p) continue;
all.pb(down[i]);
sub2[i]=sub[at]-1-sub[i]+sub2[at];
}
sort(all.rbegin(),all.rend());
for(int &i:graph[at]){
if(i==p) continue;
up[i]=up[at]+1;
if(all[0]!=down[i]) maxa(up[i],all[0]+2);
else if(sz(all)>1) maxa(up[i],all[1]+2);
dp2[i]=dp2[at]+sub2[i]+dp[at]-sub[i]-dp[i];
dfs2(i,at);
}
}
int main(){
cin.sync_with_stdio(0);
cin.tie(0); cout.tie(0);
#ifdef LOCAL
freopen("input.txt","r",stdin);
freopen("output.txt","w",stdout);
#endif
int n; cin>>n;
for(int i=1;i<n;i++){
int a,b; cin>>a>>b;
graph[a].pb(b);
graph[b].pb(a);
}
dfs(1,-1);
dfs2(1,-1);
for(int i=1;i<=n;i++){
vector<ll> all;
ll sum=0;
for(int &j:graph[i]){
if(j==par[i]) continue;
all.pb(sub[j]);
sum+=sub[j];
}
ll rem=n-1-sum;
sum+=rem;
all.pb(rem);
sort(all.begin(),all.end());
ll amt=min(sum/2,sum-all.back());
sum-=(sum&1);
if(2*amt!=sum) cout<<-1<<"\n";
else cout<<2*(dp[i]+dp2[i])-max(up[i],down[i])<<"\n";
}
}
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