This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
template<class T> bool cmin(T &i, T j) { return i > j ? i=j,true:false; }
template<class T> bool cmax(T &i, T j) { return i < j ? i=j,true:false; }
mt19937 mrand(chrono::steady_clock::now().time_since_epoch().count());
int rng() {
return abs((int)mrand());
}
// Current challenge: finish CSES problemset!!
const int nax = 10000 + 5, inf = 5e8;
int dp[nax][nax];
int dp2[nax][nax];
vector<pair<int,int>> adj[nax];
int n,k,start_node;
int sz[nax];
void dfs(int x,int p) {
sz[x] = 1;
for (int i=1;i<=n;i++)
dp[x][i] = dp2[x][i] = inf;
dp[x][1] = 0;
dp2[x][1] = 0;
for (auto &[y,c]: adj[x]) if (y != p) {
dfs(y,x);
for (int total = sz[x] + sz[y]; total >= 1; total--) {
for (int other = min(sz[y],total); other >= 0 && total - other <= sz[x]; other--) {
int me = total - other;
cmin(dp[x][total],dp[x][me] + dp[y][other] + 2 * c);
cmin(dp2[x][total],dp[x][me] + dp2[y][other] + c);
cmin(dp2[x][total],dp2[x][me] + dp[y][other] + 2 * c);
}
}
sz[x] += sz[y];
}
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
cin >> n >> k >> start_node;
--start_node;
for (int i=1,a,b,c;i<n;i++) {
cin >> a >> b >> c;
--a,--b;
adj[a].emplace_back(b,c);
adj[b].emplace_back(a,c);
}
dfs(start_node,-1);
// for (int i=0;i<n;i++) {
// cout << "node " << i + 1 << endl;
// for (int j=1;j<=sz[i];j++)
// cout << "taking " << j << " nodes : " << dp[i][j] << endl;
// }
cout << dp2[start_node][k] << "\n";
}
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