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 int long long
#define mp make_pair
#define pb push_back
#define pf push_front
#define fi first
#define se second
#define all(x) begin(x), end(x)
#define rall(x) rbegin(x), rend(x)
#define nbits(x) __builtin_popcount(x)
#define gcd(x, y) __gcd(x, y)
#define SYNC_OFF ios::sync_with_stdio(0); cin.tie(0);
typedef pair<int, int> pii;
typedef vector<int> vi;
typedef vector<pii> vii;
const int MOD = 1e9 + 7; // 998244353;
const int N = 200100;
const int INF = 1e15; // 1e18;
const double PI = acos(-1);
const int dx[] = {-1,0,1,0,-1,1,1,-1};
const int dy[] = {0,1,0,-1,1,1,-1,-1};
int powmod(int a, int b, int m = MOD) {
int res = 1;
a %= m; assert(b >= 0);
for (; b; b>>=1) {
if (b & 1) res = res*a % m;
a = a*a % m;
}
return res;
}
int n;
int sz[N];
vector<int> g[N];
multiset<int> A, B;
int dfs(int x, int p) {
sz[x] = 1;
for (int y: g[x]) {
if (y != p) {
sz[x] += dfs(y, x);
}
}
return sz[x];
}
vector<int> cand(multiset<int>& S, int k) {
vector<int> res;
auto ub = S.upper_bound(k);
if (ub != S.end()) {
res.pb(*ub);
}
auto lb = S.lower_bound(k);
if (lb != S.end()) {
res.pb(*lb);
}
if (lb != S.begin()) {
res.pb(*prev(lb));
}
return res;
}
int solve(int x, int p) {
int ans = INF;
for (int szy: cand(A, (n + sz[x]) / 2)) {
int res = max({sz[x], szy - sz[x], n - szy});
res -= min({sz[x], szy - sz[x], n - szy});
ans = min(ans, res);
}
for (int szy: cand(B, (n - sz[x]) / 2)) {
int res = max({sz[x], szy, n - sz[x] - szy});
res -= min({sz[x], szy, n - sz[x] - szy});
ans = min(ans, res);
}
A.insert(sz[x]);
for (int y: g[x]) {
if (y != p) {
ans = min(ans, solve(y, x));
}
}
A.erase(A.find(sz[x]));
B.insert(sz[x]);
return ans;
}
signed main() {
SYNC_OFF;
cin >> n;
for (int i = 1; i <= n - 1; i++) {
int u, v; cin >> u >> v;
g[u].pb(v); g[v].pb(u);
}
dfs(1, 0);
cout << solve(1, 0) << "\n";
return 0;
}
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