// Make the best become better
// No room for laziness
#include<bits/stdc++.h>
#define int long long
#define pb push_back
#define fi first
#define se second
using namespace std;
using ll = long long;
using ld = long double;
using ull = unsigned long long;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const int maxN = 1e6 + 5;
const int mod = 1e9 + 7;
const ll oo = 1e18;
int n;
vector<int> adj[maxN];
int p[maxN], sz[maxN];
int tin[maxN], tout[maxN], Time = 0;
void ReadInput()
{
cin >> n;
for(int i=1; i<n; i++)
{
int u, v;
cin >> u >> v;
adj[u].pb(v);
adj[v].pb(u);
}
}
void dfs(int u)
{
sz[u] = 1;
tin[u] = ++Time;
for(int v : adj[u])
{
if(v == p[u]) continue;
p[v] = u;
dfs(v);
sz[u] += sz[v];
}
tout[u] = Time;
}
multiset<int> S1, S2;
int res = oo;
void DFS(int u)
{
S1.insert(sz[u]);
S2.erase(S2.find(sz[u]));
int tmp = (n + sz[u]) / 2;
auto it = S1.lower_bound(tmp);
if(it != S1.end())
{
int sz1 = sz[u], sz2 = *it - sz[u], sz3 = n - sz1 - sz2;
res = min(res, max({abs(sz1 - sz2), abs(sz2 - sz3), abs(sz1 - sz3)}));
}
if(it != S1.begin())
{
it--;
int sz1 = sz[u], sz2 = *it - sz[u], sz3 = n - sz1 - sz2;
res = min(res, max({abs(sz1 - sz2), abs(sz2 - sz3), abs(sz1 - sz3)}));
}
tmp = (n - sz[u]) / 2;
it = S2.upper_bound(tmp);
if(it != S2.end() && *it >= sz[u])
{
int sz1 = sz[u], sz2 = *it, sz3 = n - sz1 - sz2;
res = min(res, max({abs(sz1 - sz2), abs(sz2 - sz3), abs(sz1 - sz3)}));
}
if(it != S2.begin())
{
it--;
if(*it >= sz[u])
{
int sz1 = sz[u], sz2 = *it, sz3 = n - sz1 - sz2;
res = min(res, max({abs(sz1 - sz2), abs(sz2 - sz3), abs(sz1 - sz3)}));
}
}
for(int v : adj[u])
{
if(v == p[u]) continue;
DFS(v);
}
S1.erase(S1.find(sz[u]));
S2.insert(sz[u]);
}
void Solve()
{
dfs(1);
for(int i=1; i<=n; i++)
S2.insert(sz[i]);
DFS(1);
cout << res;
}
int32_t main()
{
//freopen("sol.inp", "r", stdin);
// freopen("sol.out", "w", stdout);
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
ReadInput();
Solve();
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
12 ms |
23816 KB |
Output is correct |
2 |
Correct |
13 ms |
23828 KB |
Output is correct |
3 |
Correct |
12 ms |
23756 KB |
Output is correct |
4 |
Correct |
13 ms |
23820 KB |
Output is correct |
5 |
Correct |
13 ms |
23844 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
12 ms |
23816 KB |
Output is correct |
2 |
Correct |
13 ms |
23828 KB |
Output is correct |
3 |
Correct |
12 ms |
23756 KB |
Output is correct |
4 |
Correct |
13 ms |
23820 KB |
Output is correct |
5 |
Correct |
13 ms |
23844 KB |
Output is correct |
6 |
Correct |
14 ms |
24020 KB |
Output is correct |
7 |
Correct |
13 ms |
24020 KB |
Output is correct |
8 |
Correct |
13 ms |
24020 KB |
Output is correct |
9 |
Correct |
14 ms |
24088 KB |
Output is correct |
10 |
Correct |
14 ms |
24088 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
12 ms |
23816 KB |
Output is correct |
2 |
Correct |
13 ms |
23828 KB |
Output is correct |
3 |
Correct |
12 ms |
23756 KB |
Output is correct |
4 |
Correct |
13 ms |
23820 KB |
Output is correct |
5 |
Correct |
13 ms |
23844 KB |
Output is correct |
6 |
Correct |
14 ms |
24020 KB |
Output is correct |
7 |
Correct |
13 ms |
24020 KB |
Output is correct |
8 |
Correct |
13 ms |
24020 KB |
Output is correct |
9 |
Correct |
14 ms |
24088 KB |
Output is correct |
10 |
Correct |
14 ms |
24088 KB |
Output is correct |
11 |
Correct |
312 ms |
49400 KB |
Output is correct |
12 |
Correct |
338 ms |
49324 KB |
Output is correct |
13 |
Correct |
277 ms |
49980 KB |
Output is correct |
14 |
Correct |
282 ms |
49692 KB |
Output is correct |
15 |
Correct |
359 ms |
49316 KB |
Output is correct |
16 |
Correct |
234 ms |
49084 KB |
Output is correct |
17 |
Correct |
296 ms |
49376 KB |
Output is correct |
18 |
Correct |
310 ms |
53668 KB |
Output is correct |
19 |
Correct |
298 ms |
49704 KB |
Output is correct |
20 |
Correct |
328 ms |
49352 KB |
Output is correct |