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;
const int nmax = 4e3 + 5;
int n;
vector<int> g[nmax];
int pin[nmax], pout[nmax], inp;
int area[nmax], depth[nmax];
int p[nmax][16];
void init(int node, int f) {
p[node][0] = f;
depth[node] = depth[f] + 1;
area[node] ++;
pin[node] = inp++;
for(int i = 1; i < 16; i++)
p[node][i] = p[p[node][i - 1]][i - 1];
//cout << node << '\n';
//for(int i = 0; i < 16; i++)
//cout << p[node][i] << ' ';
//cout << '\n';
for(auto x : g[node]) {
if(x == f)
continue;
init(x, node);
area[node] += area[x];
}
pout[node] = inp - 1;
return;
}
bool isanc(int f, int node) {
return pin[f] <= pin[node] && pout[node] <= pout[f];
}
int rez[nmax];
int blca(int x, int y) {
int temp = x;
for(int i = 15; i >= 0; i--) {
if(!isanc(p[temp][i], y))
temp = p[temp][i];
}
return temp;
}
int dist(int x, int y) {
if(x == y)
return 0;
int lca = p[blca(x, y)][0];
return depth[x] + depth[y] - depth[lca] * 2;
}
void upd(int x, int y) {
if(isanc(y, x))
swap(x, y);
if(isanc(x, y)) {
int k = blca(y, x);
//cout << x << ' ' << y << ' ' << k << ' ' << isanc(k, y) << '\n';
//cout << n - area[k] <<
int u = min(n - area[k], area[y]);
rez[u * 2] = max(rez[u * 2], depth[y] - depth[x] + 1);
return;
}
else {
int u = min(area[x], area[y]);
int lca = blca(x, y);
lca = p[lca][0];
rez[u * 2] = max(rez[u * 2], depth[x] + depth[y] - 2 * depth[lca] + 1);
}
return;
}
int main() {
cin >> n;
for(int i = 1, x, y; i < n; i++) {
cin >> x >> y;
g[x].push_back(y);
g[y].push_back(x);
}
init(1, 1);
for(int i = 0; i < (1 << n); i++) {
vector<int> cand;
for(int j = 0; j < n; j++) {
if(i & (1 << j))
cand.push_back(j + 1);
}
int cnt = 0;
int maxx = n * n + n * n * n;
for(int j = 1; j <= n; j++) {
int cst = 0;
for(auto x : cand)
cst += dist(x, j);
if(cst < maxx)
cnt = 1, maxx = cst;
else if(cst == maxx)
cnt++;
}
rez[__builtin_popcount(i)] = max(rez[__builtin_popcount(i)], cnt);
}
//for(int i = 1; i <= n; i++) {
//for(int j = i + 1; j <= n; j++)
//upd(i, j);
//}
for(int i = 1; i <= n; i++) {
cout << rez[i] << '\n';
}
}
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