#include <bits/stdc++.h>
#pragma GCC optimize("O3")
using namespace std;
typedef long long int ll;
typedef pair<ll,ll> pi;
typedef pair<ll, pair<ll, ll> > pii;
typedef vector <ll> vi;
#define forw(i,a,b) for (ll i=a;i<=(b);i++)
#define forb(i,a,b) for (ll i=a;i>=(b);i--)
#define fast {ios::sync_with_stdio(false); cin.tie(0); }
#define fi first
#define se second
#define pu push
#define puf push_front
#define pb push_back
#define pof pop_front
#define pob pop_back
#define fr front
#define all(a) a.begin(),a.end()
const ll oo=1e18;
const ll mod=1e9+7;
const int base=31;
const int tx[4]={0,0,1,-1};
const int ty[4]={1,-1,0,0};
const ll maxN=2e5+5;
int n,sum[maxN],ans;
set<int> a,b;
vector <int> check[maxN];
int build(int u, int father) // build subtree
{
sum[u]=1;
for(int v:check[u])
if (v!=father)
sum[u]+=build(v,u);
return sum[u];
}
void dfs(int u, int father)
{
// set A: save current ancestors of u
// set B: save others
// case 1: v is an ancestor of u
// => | (sum[v] - sum[u]) - (n-sum[v]) | : is as small as possible
// => | sum[v] - (n+sum[u])/2 |
int x=(n+sum[u])/2;
auto it=a.lower_bound(x);
if (it!=a.end())
ans=min(ans,max(sum[u],max(n-(*it),(*it)-sum[u]))-min(sum[u],min(n-(*it),(*it)-sum[u])));
if (it!=a.begin())
{
it--;
ans=min(ans,max(sum[u],max(n-(*it),(*it)-sum[u]))-min(sum[u],min(n-(*it),(*it)-sum[u])));
}
// case 2: v is not an ancestor of u
// => | (n- sum[u] - sum[v]) - sum[v] |
// => | (n-sum[u])/2 - sum[v] |
x=(n-sum[u])/2;
it=b.lower_bound(x);
if (it!=b.end())
ans=min(ans,max(sum[u],max(n-(*it)-sum[u],(*it)))-min(sum[u],min(n-(*it)-sum[u],(*it))));
if (it!=b.begin())
{
it--;
ans=min(ans,max(sum[u],max(n-(*it)-sum[u],(*it)))-min(sum[u],min(n-(*it)-sum[u],(*it))));
}
a.insert(sum[u]);
for(int v:check[u])
if (v!=father)
dfs(v,u);
a.erase(sum[u]);
b.insert(sum[u]);
return;
}
void solve()
{
cin>>n;
forw(i,1,n-1)
{
int u,v;
cin>>u>>v;
check[u].pb(v);
check[v].pb(u);
}
int s=0;
forw(i,1,n)
if (check[i].size()==1)
{
s=i;
break;
}
ans=1e9;
build(s,0);
//cout<<"finish"<<endl;
dfs(s,0);
cout<<ans;
}
int main()
{
fast;
//freopen("test.inp","r",stdin);
//freopen("test.out","w",stdout);
solve();
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
4940 KB |
Output is correct |
2 |
Correct |
3 ms |
4940 KB |
Output is correct |
3 |
Correct |
3 ms |
5012 KB |
Output is correct |
4 |
Correct |
3 ms |
4940 KB |
Output is correct |
5 |
Correct |
3 ms |
4940 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
4940 KB |
Output is correct |
2 |
Correct |
3 ms |
4940 KB |
Output is correct |
3 |
Correct |
3 ms |
5012 KB |
Output is correct |
4 |
Correct |
3 ms |
4940 KB |
Output is correct |
5 |
Correct |
3 ms |
4940 KB |
Output is correct |
6 |
Correct |
4 ms |
5068 KB |
Output is correct |
7 |
Correct |
4 ms |
5068 KB |
Output is correct |
8 |
Correct |
4 ms |
5068 KB |
Output is correct |
9 |
Correct |
4 ms |
5068 KB |
Output is correct |
10 |
Correct |
5 ms |
5020 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
4940 KB |
Output is correct |
2 |
Correct |
3 ms |
4940 KB |
Output is correct |
3 |
Correct |
3 ms |
5012 KB |
Output is correct |
4 |
Correct |
3 ms |
4940 KB |
Output is correct |
5 |
Correct |
3 ms |
4940 KB |
Output is correct |
6 |
Correct |
4 ms |
5068 KB |
Output is correct |
7 |
Correct |
4 ms |
5068 KB |
Output is correct |
8 |
Correct |
4 ms |
5068 KB |
Output is correct |
9 |
Correct |
4 ms |
5068 KB |
Output is correct |
10 |
Correct |
5 ms |
5020 KB |
Output is correct |
11 |
Correct |
196 ms |
12288 KB |
Output is correct |
12 |
Correct |
207 ms |
14516 KB |
Output is correct |
13 |
Correct |
175 ms |
15076 KB |
Output is correct |
14 |
Correct |
186 ms |
14812 KB |
Output is correct |
15 |
Correct |
199 ms |
14448 KB |
Output is correct |
16 |
Correct |
134 ms |
14508 KB |
Output is correct |
17 |
Correct |
180 ms |
14584 KB |
Output is correct |
18 |
Correct |
217 ms |
21444 KB |
Output is correct |
19 |
Correct |
167 ms |
14724 KB |
Output is correct |
20 |
Correct |
213 ms |
14532 KB |
Output is correct |