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 long int64;
typedef pair <int64, int64> pii;
const int maxn = 202;
vector <int> ad [maxn];
vector <pii> lv;
int64 cost [maxn][maxn];
int dad [maxn];
int leaves = 0;
void prec (int u, int p, int64 sum) {
bool f = 0;
for (int v: ad[u]) {
if (v == p) continue;
f = 1;
dad[v] = u;
prec(v, u, sum + cost[u][v]);
}
if (!f) lv.push_back({sum, u});
}
int main() {
int n,k;
cin >> n >> k;
for (int i = 0; i < n - 1; i++){
int a,b,c;
cin >> a >> b >> c;
cost[a][b] = cost[b][a] = c;
ad[a].push_back(b);
ad[b].push_back(a);
}
for (int i = 1; i <= n; i++){
if (ad[i].size() == 1) leaves++;
}
if (ad[1].size() == 1) leaves--;
for (int i = 1; i <= n; i++){
k = min(k, leaves);
int64 rs = 0;
vector <pair <pii, int> > back;
for (int j = 0; j < k; j++){
lv.clear();
prec(i, -1, 0);
dad[i] = -1;
sort(lv.rbegin(), lv.rend());
// cout << i << " " << j << " " << lv[0].first << " " << lv[0].second << "\n";
rs+=lv[0].first;
int k = lv[0].second;
while (k != i) {
int p = dad[k];
if (cost[p][k]) back.push_back({{p, k}, cost[p][k]});
cost[p][k] = 0;
// cout << p << " " << k << " " << 0 << "\n";
k = p;
}
}
for (auto [x, y]: back) {
// cout << x.first << " " << x.second << " " << y << "\n";
cost[x.first][x.second] = y;
}
cout << i << ": ";
cout << rs << "\n";
}
}
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