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;
#define TRACE(x) cerr << #x << " :: " << x << endl
#define _ << " " <<
#define SZ(x) (int)(x).size()
#define ALL(x) (x).begin(),(x).end()
#define FOR(i,a,b) for(int i=(a);i<=(b);++i)
#define RFOR(i,a,b) for (int i=(a);i>=(b);--i)
const int mxN = 2e5+5;
int N;
vector<int> al[mxN];
int sub[mxN];
multiset<int> done, vis;
int ans;
int subtree(int u, int p) {
sub[u] = 1;
for (int& v : al[u]) if (v != p) {
sub[u] += subtree(v,u);
}
return sub[u];
}
int calc(int a, int b, int c) {
return max({a,b,c}) - min({a,b,c});
}
void dfs(int u, int p) {
multiset<int>::iterator it;
// done
it = done.lower_bound((N-sub[u]+1)/2);
if (it != done.end()) {
ans = min(ans, calc(N-*it-sub[u],*it,sub[u]));
}
if (it != done.begin()) {
--it;
ans = min(ans, calc(N-*it-sub[u],*it,sub[u]));
}
// vis
it = vis.lower_bound((N-sub[u]+1)/2+sub[u]);
if (it != vis.end()) {
ans = min(ans, calc(N-*it,*it-sub[u],sub[u]));
}
if (it != vis.begin()) {
--it;
ans = min(ans, calc(N-*it,*it-sub[u],sub[u]));
}
vis.insert(sub[u]);
for (int& v : al[u]) if (v != p)
dfs(v,u);
vis.erase(vis.find(sub[u]));
done.insert(sub[u]);
}
int main() {
ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);
cin >> N;
FOR(i,1,N-1){
int X, Y; cin >> X >> Y;
al[X].push_back(Y);
al[Y].push_back(X);
}
ans = N;
subtree(1,0);
dfs(1,0);
cout << ans << '\n';
}
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