#include <bits/stdc++.h>
using namespace std;
#define int long long
#define fi first
#define se second
#define Rep(i, n) for(int i = 1; i <= n; ++i)
#define For(i, a, b) for(int i = a; i <= b; ++i)
#define Ford(i, a, b) for(int i = a; i >= b; --i)
#define Forv(v, h) for(auto &v : h)
#define Bit(x, i) ((x) >> (i) & 1ll)
#define onbit(x, i) ((x) | (1ll << i))
#define offbit(x, i) ((x) &~ (1ll << i))
#define cnt_bit(x) __builtin_popcountll(x)
#define Log2(x) (63 - __builtin_clzll(x))
#define all(h) h.begin(), h.end()
#define reset(h, v) (memset(h, v, sizeof(h)))
#define memoryof(v) (sizeof(v) / 1024 / 1024)
using ii = pair<int, int>;
using ull = unsigned long long;
using db = long double;
using vi = vector<int>;
using vvi = vector<vi>;
using vii = vector<ii>;
const int dx[] = {0, 0, +1, -1};
const int dy[] = {-1, +1, 0, 0};
const int MAXN = 2e5 + 10;
const int MOD = 1e9 + 7;
const int oo = 1e18 + 1;
const int base = 311;
template <class X, class Y> bool maximize(X &a, const Y &b) {
if(a < b) return a = b, true;
return false;
}
template <class X, class Y> bool minimize(X &a, const Y &b) {
if(a > b) return a = b, true;
return false;
}
// (x, y) -> (u, v) = Ckn(u - x, x + y - u - v);
// Ckn(k, a) * Ckn(k, b) = C(a, a + b); (k : 1 -> min(a, b))
void fixmod(int &val) {
if (val < 0) val += MOD*MOD;
val %= MOD;
}
int n, x[MAXN], y[MAXN], ans = +oo, sz[MAXN];
vi g[MAXN];
void dfs_init(int u, int par) {
sz[u] = 1;
Forv(v, g[u]) {
if (v == par) continue;
dfs_init(v, u);
sz[u] += sz[v];
}
}
set<int> A, B;
int calc(int a, int b, int c) {
return max({a, b, c}) - min({a, b, c});
}
ii get(const set<int> &s, int val) {
auto it = s.lower_bound(val);
ii res = {-oo,-oo};
if (it != s.end()) res.fi = *it;
if (it != s.begin()) {
--it;
res.se = *it;
}
return res;
}
void solve(int u, int par) {
ii res_a = get(A,(n+sz[u])/2);
minimize(ans, calc(sz[u], res_a.fi - sz[u], n - res_a.fi));
minimize(ans, calc(sz[u], res_a.se - sz[u], n - res_a.se));
ii res_b = get(B, (n-sz[u])/2);
minimize(ans, calc(sz[u], res_b.fi, n-res_b.fi-sz[u]));
minimize(ans, calc(sz[u], res_b.se, n-res_b.se-sz[u]));
A.insert(sz[u]);
Forv(v, g[u]) {
if (v != par) solve(v, u);
}
A.erase(sz[u]);
B.insert(sz[u]);
}
void Progess() {
cin >> n;
For(i, 1, n - 1) {
cin >> x[i] >> y[i];
g[x[i]].push_back(y[i]);
g[y[i]].push_back(x[i]);
}
dfs_init(1, 0);
solve(1, 0);
cout << ans << '\n';
}
signed main(void) {
ios_base::sync_with_stdio(false);cin.tie(nullptr);
cout.tie(nullptr);
#define task "main"
if (fopen(task".inp", "r")) {
freopen(task".inp", "r", stdin);
freopen(task".out", "w", stdout);
}//_______________________________
Progess();
cerr << "\nTime elapsed: " << (1.0 * clock() / CLOCKS_PER_SEC) << " s.\n";
return (0 ^ 0);
}
Compilation message (stderr)
papricice.cpp: In function 'int main()':
papricice.cpp:116:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
116 | freopen(task".inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
papricice.cpp:117:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
117 | freopen(task".out", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
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