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 all(x) (x).begin(), (x).end()
#define ff first
#define ss second
#define pb push_back
#define mp make_pair
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
typedef pair<int, int> pll;
typedef pair<ull, ull> pull;
typedef pair<int, int> pii;
typedef pair<ld, ld> pld;
int n;
int calcval(int a, int b){
int c = n-a-b;
return max({abs(a-b), abs(a-c), abs(b-c)});
}
int ans = 1e9;
vector<int> g[200009];
multiset<int> s, ins;
int sz[200009];
int uptop = 0;
void dfs1(int v, int prt){
sz[v] = 1;
for(auto u : g[v])
if(u != prt){
dfs1(u, v);
sz[v] += sz[u];
}
s.insert(sz[v]);
}
void calc(int x, multiset<int> &s){
int opt = (n-x)/2;
auto it = s.lower_bound(opt);
if(it != s.end()){
ans = min(ans, calcval(x, *it));
}
if(it != s.begin()){
--it;
ans = min(ans, calcval(x, *it));
}
}
void dfs2(int v, int prt, int del){
s.erase(s.lower_bound(sz[v]));
pii maxi = {0, 0};
for(auto u : g[v])
if(u != prt)
maxi = max(maxi, {sz[u], u});
for(auto u : g[v])
if(u != prt && u != maxi.ss)
dfs2(u, v, 0);
if(maxi.ss){
dfs2(maxi.ss, v, 1);
}
calc(sz[v], s);
calc(n-sz[v], ins);
ins.insert(sz[v]);
if(del == 0){
for(auto u : ins)
s.insert(u);
ins.clear();
}
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
//freopen("in.txt", "r", stdin);
//freopen("out.txt", "w", stdout);
cin >> n;
for(int i = 0; i < n-1; ++i){
int x, y;
cin >> x >> y;
g[x].pb(y);
g[y].pb(x);
}
dfs1(1, 0);
dfs2(1, 0, 0);
cout << ans << '\n';
//cout<<endl<<fixed<<setprecision(2)<<1000.0 * clock() / CLOCKS_PER_SEC<< " milliseconds ";
}
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