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 pii pair<int, int>
#define mp make_pair
#define F first
#define S second
#define iter(a) a.begin(), a.end()
#define eb emplace_back
#define printv(a, b) { \
bool ps = false; \
for(auto v : a){ \
if(ps) b << " "; \
b << v; ps = true; \
} \
b << "\n"; \
}
#define lsort(a) sort(iter(a))
using namespace std;
typedef long long ll;
const ll MAX = 2147483647;
template<typename A, typename B>
ostream& operator<<(ostream& o, pair<A, B> p){
return o << '(' << p.F << ',' << p.S << ')';
}
vector<vector<int>> g;
multiset<int> s1, s2;
vector<int> sz;
int ans = MAX;
int n;
void dfs(int now, int p){
for(int i : g[now]){
if(i == p) continue;
dfs(i, now);
sz[now] += sz[i];
}
}
int diff(int a, int b, int c){
return max({abs(a - b), abs(b - c), abs(a - c)});
}
void dfs2(int now, int p){
int t = sz[now];
auto it = s1.lower_bound((n - t) / 2);
if(it != s1.end()) ans = min(ans, diff(t, *it, n - t - *it));
if(it != s1.begin()) it--, ans = min(ans, diff(t, *it, n - t - *it));
it = s2.lower_bound(t + (n - t) / 2);
if(it != s2.end()) ans = min(ans, diff(t, *it - t, n - *it));
if(it != s2.begin()) it--, ans = min(ans, diff(t, *it - t, n - *it));
s2.insert(sz[now]);
for(int i : g[now]){
if(i != p) dfs2(i, now);
}
s2.erase(s2.find(sz[now]));
s1.insert(sz[now]);
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(0);
cin >> n;
g.resize(n + 1);
sz.resize(n + 1, 1);
for(int i = 0; i < n - 1; i++){
int u, v;
cin >> u >> v;
g[u].eb(v);
g[v].eb(u);
}
dfs(1, 1);
dfs2(1, 1);
cout << ans << "\n";
return 0;
}
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