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 f first
#define s second
#define pb push_back
#define mp make_pair
#define sz(a) a.size()
typedef long long ll;
typedef pair<int, int> pii;
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
template<class T> using oset=tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
int N;
vector<int> adj[300005];
int dp[300005];
void dfs(int u, int p, int k){
int child = 0;
dp[u] = 0;
for(int v : adj[u]){
if(v != p){
child++;
dfs(v, u, k);
dp[u] += dp[v];
}
}
dp[u] += child - k;
dp[u] = max(dp[u], 0);
}
bool ok(int k){
memset(dp, 0, sizeof(dp));
dfs(0, -1, k);
return dp[0] == 0;
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cin >> N;
for(int i = 0; i < N-1;i ++){
int a, b;
cin >> a >> b;
a--; b--;
adj[a].pb(b);
adj[b].pb(a);
}
int lo =0; int hi = N;
while(lo < hi){
int mid = (lo+hi)/2;
if(ok(mid)){
hi = mid;
}
else{
lo = mid+1;
}
}
cout << lo << '\n';
}
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