#include <bits/stdc++.h>
using namespace std;
#pragma GCC optimize ("Ofast")
const int MAXN = 2e5 + 25;
#define mid ((l + r) >> 1)
#define tl (node + 1)
#define tr (node + 2 * (mid - l + 1))
const int bad = -1e7;
int comb (int a, int b, int c) {
return abs(2 * a - c) < abs(2 * b - c) ? a : b;
}
struct SegmentTree {
multiset <int> tree[2 * MAXN];
int arr[MAXN];
void build (int l, int r, int node) {
for (int i = l; i <= r; i++) tree[node].insert(arr[i]);
if (l == r) return;
build(l, mid, tl); build(mid + 1, r, tr);
}
void update (int l, int r, int a, int x, int y, int node) {
if (l > a || r < a) return;
assert(tree[node].count(y));
tree[node].erase(tree[node].lower_bound(y));
tree[node].insert(x);
if (l == r) return;
update(l, mid, a, x, y, tl); update(mid + 1, r, a, x, y, tr);
}
int get (int l, int r, int a, int b, int c, int node) {
if (a > b || l > r) return bad;
if (l > b || r < a) return bad;
if (l >= a && r <= b) {
int ret = bad;
auto t = tree[node].lower_bound(c);
if (t != tree[node].end()) ret = comb(ret, *t, c);
if (t != tree[node].begin()) {
t--;
ret = comb(ret, *t, c);
}
return ret;
}
return comb(get(l, mid, a, b, c, tl), get(mid + 1, r, a, b, c, tr), c);
}
} cur;
vector <int> adj[MAXN];
int sze[MAXN], n, in[MAXN], out[MAXN], t;
set <int> dd[MAXN];
typedef long long ll;
int mn = 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();
}
for (auto i : dd[pos]) mx = comb(i, mx, sze[pos]);
dd[pos].insert(sze[pos]);
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;
}
void dfs2 (int pos, int par) {
if (pos != 1) {
int x = comb(cur.get(1, n, 1, in[pos] - 1, n - sze[pos], 1), cur.get(1, n, out[pos] + 1, n, n - sze[pos], 1), n - sze[pos]);
mn = min(mn, max({sze[pos], x, n - sze[pos] - x}) - min({sze[pos], x, n - sze[pos] - x}));
}
if (pos != 1) cur.update(1, n, in[pos], bad, sze[pos], 1);
for (auto j : adj[pos]) if (j != par) dfs2(j, pos);
if (pos != 1) cur.update(1, n, in[pos], sze[pos], bad, 1);
}
int main () {
ios::sync_with_stdio(0);
cin.tie(0);
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++) {
cur.arr[in[i]] = sze[i];
}
cur.arr[in[1]] = bad;
cur.build(1, n, 1);
dfs2(1, -1);
cout << mn << '\n';
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
8 ms |
35672 KB |
Output is correct |
2 |
Correct |
8 ms |
35784 KB |
Output is correct |
3 |
Correct |
8 ms |
35676 KB |
Output is correct |
4 |
Correct |
8 ms |
35676 KB |
Output is correct |
5 |
Correct |
8 ms |
35676 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
8 ms |
35672 KB |
Output is correct |
2 |
Correct |
8 ms |
35784 KB |
Output is correct |
3 |
Correct |
8 ms |
35676 KB |
Output is correct |
4 |
Correct |
8 ms |
35676 KB |
Output is correct |
5 |
Correct |
8 ms |
35676 KB |
Output is correct |
6 |
Correct |
30 ms |
36700 KB |
Output is correct |
7 |
Correct |
27 ms |
36888 KB |
Output is correct |
8 |
Correct |
38 ms |
36828 KB |
Output is correct |
9 |
Correct |
35 ms |
36696 KB |
Output is correct |
10 |
Correct |
27 ms |
36900 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
8 ms |
35672 KB |
Output is correct |
2 |
Correct |
8 ms |
35784 KB |
Output is correct |
3 |
Correct |
8 ms |
35676 KB |
Output is correct |
4 |
Correct |
8 ms |
35676 KB |
Output is correct |
5 |
Correct |
8 ms |
35676 KB |
Output is correct |
6 |
Correct |
30 ms |
36700 KB |
Output is correct |
7 |
Correct |
27 ms |
36888 KB |
Output is correct |
8 |
Correct |
38 ms |
36828 KB |
Output is correct |
9 |
Correct |
35 ms |
36696 KB |
Output is correct |
10 |
Correct |
27 ms |
36900 KB |
Output is correct |
11 |
Execution timed out |
1070 ms |
218472 KB |
Time limit exceeded |
12 |
Halted |
0 ms |
0 KB |
- |