This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//author:
#include <bits/stdc++.h>
using namespace std;
using i64 = long long;
#define ONLINE_JUDGE
const int MAXN = 2000 + 5;
bool ok[MAXN][MAXN];
ostream& operator<< (ostream& out, vector <int> &vec) {
for(auto &i : vec)
out << i << " ";
return out;
}
void solve() {
int n;
cin >> n;
vector <int> adj[n +1];
vector <pair <int, int>> edges(n);
for(int i = 1; i <= n -1; i++) {
cin >> edges[i].first >> edges[i].second;
adj[edges[i].first].emplace_back(edges[i].second);
adj[edges[i].second].emplace_back(edges[i].first);
}
vector <int> sizes(n +1), depths(n +1);
vector <int> vec;
function <int(int, int)> dfs = [&](int node, int par) -> int {
//cerr << node << " " << par << "\n";
depths[node] = depths[par] +1;
vec.emplace_back(node);
int res = 1;
for(int &child : adj[node]) {
if(child != par) {
res += dfs(child, node);
}
}
for(int &i : vec)
ok[i][node] = ok[node][i] = true;
//cerr << "vec: " << vec << "\n";
vec.pop_back();
return sizes[node] = res;
};
dfs(1, 0);
for(int i = 1; i <= n -1; i++) {
auto &[a, b] = edges[i];
if(depths[a] < depths[b]) {
swap(a, b);
}
}
int ans = n;
for(int i = 1; i <= n -1; i++) {
for(int j = i +1; j <= n -1; j++) {
auto [a, b] = edges[i];
auto [c, d] = edges[j];
int sz1 = sizes[0];
int sz2 = sizes[1];
int sz3 = n - (sizes[0] + sizes[1]);
if(ok[a][c]) {
if(depths[a] < depths[c])
swap(a, c);
sz1 = sizes[a];
sz2 = (sizes[c] - sizes[a]);
sz3 = n - (sz1 + sz2);
} else {
sz1 = sizes[a];
sz2 = sizes[c];
sz3 = n - (sz1 + sz2);
}
//cerr << a << " " << b << " :: " << c << " " << d << " -> ";
//cerr << sz1 << " " << sz2 << " " << sz3 << "\n";
ans = min(ans, max({sz1, sz2, sz3}) - min({sz1, sz2, sz3}));
}
}
cout << ans;
return;
}
signed main() {
#ifndef ONLINE_JUDGE
freopen(".in", "r", stdin);
freopen(".out", "w", stdout);
#endif
ios_base::sync_with_stdio(false);
cin.tie(NULL); cout.tie(NULL);
int t = 1; //cin >> t;
while(t--)
solve();
return 0;
}
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