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;
typedef long double ld;
typedef long long ll;
#define rep(a, b) for(int a = 0; a < (b); ++a)
#define st first
#define nd second
#define pb push_back
#define all(a) a.begin(), a.end()
const int LIM=2e5+7;
vector<int>V[LIM];
int ans[2*LIM], ile[LIM], akt;
void DFS(int x, int o) {
for(auto i : V[x]) if(i!=o) {
DFS(i, x);
ile[x]+=ile[i];
}
}
void DFS2(int x, int o) {
if(2*ile[x]==ile[0]) ++akt;
for(auto i : V[x]) if(i!=o) DFS2(i, x);
}
int main() {
ios_base::sync_with_stdio(0); cin.tie(0);
int n;
cin >> n;
rep(i, n-1) {
int a, b;
cin >> a >> b; --a; --b;
V[a].pb(b);
V[b].pb(a);
}
rep(i, 1<<n) {
rep(j, n) if(i&(1<<j)) ile[j]=1; else ile[j]=0;
DFS(0, 0);
akt=1;
DFS2(0, 0);
ans[ile[0]]=max(ans[ile[0]], akt);
}
rep(i, n) cout << ans[i+1] << '\n';
}
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