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>
#pragma GCC optimize(2)
#pragma GCC optimize(3)
using namespace std;
const int N=1e4+5;
int n,k,x,son[N];
int dp[N][N][2];
vector<pair<int,int> >g[N];
inline int read(){
int x=0,f=1;
char ch=getchar();
while(ch < '0' || ch > '9'){
if(ch=='-') f = -1;
ch = getchar();
}
while(ch >='0' && ch <= '9'){
x = (x<<3) + (x<<1) + ch - '0';
ch = getchar();
}
return x*f;
}
inline void dfs(int u,int fa){
dp[u][1][0]=dp[u][1][1]=0;
son[u]=1;
for(auto v:g[u]){
if(v.first==fa)continue;
dfs(v.first,u);
int mxi=min(k,son[u]);
for(int i=mxi;i>=0;i--){
int mxj=min(k-i,son[v.first]);
for(int j=mxj;j>=0;j--){
if(dp[u][i][0]+dp[v.first][j][0]+v.second*2>=0)dp[u][i+j][0]=min(dp[u][i+j][0],dp[u][i][0]+dp[v.first][j][0]+v.second*2);
if(dp[u][i][0]+dp[v.first][j][1]+v.second>=0)dp[u][i+j][1]=min(dp[u][i+j][1],dp[u][i][0]+dp[v.first][j][1]+v.second);
if(dp[u][i][1]+dp[v.first][j][0]+v.second*2>=0)dp[u][i+j][1]=min(dp[u][i+j][1],dp[u][i][1]+dp[v.first][j][0]+v.second*2);
}
}
son[u]+=son[v.first];
}
}
int main(){
memset(dp,0x7f,sizeof dp);
n=read();
k=read();
x=read();
for(int i=1,a,b,c;i<n;i++){
a=read();
b=read();
c=read();
g[a].push_back({b,c});
g[b].push_back({a,c});
}
dfs(x,-1);
cout<<min(dp[x][k][0],dp[x][k][1]);
}
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