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 int64_t llo;
#define mp make_pair
#define pb push_back
#define a first
#define b second
//#define endl '\n'
int n,k,x;
vector<pair<int,int>> adj[10001];
int dp[10001][10001][2];
//0-return
//1-don't return
int ss[10001];
int min2(int aa,int bb){
if(aa==0){
return bb;
}
return min(aa,bb);
}
void dfs(int no,int par=-1){
ss[no]=1;
for(auto j:adj[no]){
if(j.a==par){
continue;
}
dfs(j.a,no);
ss[no]+=ss[j.a];
}
int cur=0;
dp[no][1][1]=0;
dp[no][1][0]=0;
for(auto j:adj[no]){
if(j.a==par){
continue;
}
cur+=ss[j.a];
for(int i=cur+1;i>=2;i--){
for(int kk=max(1,i-(cur-ss[j.a]+1));kk<=min(i-1,ss[j.a]);kk++){
if(i-kk>cur-ss[j.a]+1){
continue;
}
else{
/*if(dp[no][i-kk][0]==-1){
cout<<no<<","<<i-kk<<','<<0<<endl;
}*/
}
//if(dp[no][i-kk][0]>-1){
dp[no][i][0]=min2(dp[no][i][0],dp[no][i-kk][0]+dp[j.a][kk][0]+2*j.b);
dp[no][i][1]=min2(dp[no][i][1],dp[no][i-kk][0]+dp[j.a][kk][1]+j.b);
//}
//if(dp[no][i-kk][1]>-1){
dp[no][i][1]=min2(dp[no][i][1],dp[no][i-kk][1]+dp[j.a][kk][0]+2*j.b);
//}
}
}
}
/*cout<<no<<endl;
for(int j=1;j<=ss[no];j++){
cout<<dp[no][j][0]<<",";
}
cout<<endl;
for(int j=1;j<=ss[no];j++){
cout<<dp[no][j][1]<<",";
}
cout<<endl;
*/
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cin>>n>>k>>x;
x--;
for(int i=0;i<n-1;i++){
int aa,bb,cc;
cin>>aa>>bb>>cc;
aa--;
bb--;
adj[aa].pb({bb,cc});
adj[bb].pb({aa,cc});
}
/*for(int i=0;i<n;i++){
for(int j=1;j<=k;j++){
dp[i][j][0]=-1;
dp[i][j][1]=-1;
}
}*/
dfs(x);
cout<<min(dp[x][k][1],dp[x][k][0])<<endl;
return 0;
}
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