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 <iostream>
#include <vector>
#include <queue>
#include <set>
using namespace std;
const int maxN = 200'000;
const int logN = 19;
int N;
vector<int> edge[1+maxN];
int anc[1+maxN][1+logN];
vector<int> depth(1+maxN);
void dfs(int u)
{
for(int v: edge[u])
{
if(anc[u][0] == v) continue;
anc[v][0] = u;
depth[v] = depth[u] + 1;
dfs(v);
}
}
int lca(int u, int v)
{
if(depth[u] > depth[v]) swap(u, v);
for(int e = logN; e >= 0; e--)
{
if(depth[ anc[v][e] ] >= depth[u])
v = anc[v][e];
}
if(u == v) return u;
for(int e = logN; e >= 0; e--)
{
if(anc[u][e] == anc[v][e]) continue;
u = anc[u][e];
v = anc[v][e];
}
u = anc[u][0];
return u;
}
int dist(int u, int v)
{
return depth[u] + depth[v] - 2*depth[lca(u, v)];
}
int main()
{
cin >> N;
for(int e = 1; e <= N-1; e++)
{
int A, B;
cin >> A >> B;
edge[A].push_back(B);
edge[B].push_back(A);
}
anc[1][0] = anc[0][0] = 0;
depth[1] = 1;
dfs(1);
for(int e = 1; e <= logN; e++)
{
for(int u = 0; u <= N; u++)
{
anc[u][e] = anc[ anc[u][e-1] ][e-1];
}
}
vector<int> res(N+1, 0);
for(int mask = 2; mask < (1 << (N+1)); mask += 2)
{
int J = 0;
vector<bool> present(1+N, 0);
for(int u = 1; u <= N; u++)
{
if(mask & (1 << u))
{
present[u] = 1;
J++;
}
}
vector<int> sm(1+N, 0);
for(int u = 1; u <= N; u++)
{
if(mask & (1 << u))
{
for(int mp = 1; mp <= N; mp++)
{
sm[mp] += dist(u, mp);
}
}
}
int xs = 0;
int mindist = 1e9;
for(int mp = 1; mp <= N; mp++)
{
if(sm[mp] < mindist)
{
xs = 1;
mindist = sm[mp];
}
else if(sm[mp] == mindist)
{
xs++;
}
}
res[J] = max(res[J], xs);
}
for(int u = 1; u <= N; u++) cout << res[u] << ' ';
cout << '\n';
}
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