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;
const int MAXN = 2e5 + 25;
vector <int> adj[MAXN];
int sze[MAXN], n, in[MAXN], out[MAXN], t;
set <int> dd[MAXN];
typedef long long ll;
int mn = 1e9; const int bad = -1e9;
void dfs (int pos, int par) {
sze[pos] = 1;
in[pos] = ++t;
int mx = bad;
for (auto j : adj[pos]) {
if (j == par) continue;
dfs(j, pos);
sze[pos] += sze[j];
if (dd[pos].size() < dd[j].size()) swap(dd[pos], dd[j]);
for (auto i : dd[j]) dd[pos].insert(i);
dd[j].clear();
}
dd[pos].insert(sze[pos]);
for (auto i : dd[pos]) {
if (abs(2 * i - sze[pos]) < abs(2 * mx - sze[pos])) {
mx = i;
}
}
if (sze[pos] != 1 && pos != 1) mn = min(mn, max({n - sze[pos], sze[pos] - mx, mx}) - min({n - sze[pos], sze[pos] - mx, mx}));
out[pos] = t;
}
bool check (int x, int y) {
return in[y] < in[x] && in[x] <= out[y];
}
int main () {
cin >> n;
for (int i = 1; i < n; i++) {
int a, b;
cin >> a >> b;
adj[a].push_back(b);
adj[b].push_back(a);
}
dfs(1, -1);
for (int i = 2; i <= n; i++) {
for (int j = i + 1; j <= n; j++) {
if (check(i, j) || check(j, i)) continue;
int x = n - sze[j] - sze[i];
mn = min(mn, max({sze[i], sze[j], x}) - min({sze[i], sze[j], x}));
}
}
cout << mn << '\n';
}
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