#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
#define FAST ios::sync_with_stdio(0), cin.tie(0),cout.tie(0)
#define ll long long
#define ld long double
#define int long long
#define endl "\n"
#define yes cout<<"YES"<<endl;
#define no cout<<"NO"<<endl;
#define pb push_back
//#pragma GCC optimize("O3,unroll-loops")
//#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
using namespace std;
const int MOD = 1e9+7 ;
//const int MOD = 998244353 ;
const int N = 1e5+5 ;
const ll INF = 1e18 ;
const ll MIN = -1e18 ;
typedef tree<ll,null_type,less<ll>,rb_tree_tag,tree_order_statistics_node_update> indexed_set;
void solve() {
ll n,k,x;cin>>n>>k>>x;
vector<pair<ll,ll>> g[n+1];
for(int i=1;i<n;i++){
ll u,v,c;cin>>u>>v>>c;
g[u].pb({v,c});
g[v].pb({u,c});
}
//0 temchi w tarjaach 1 temchi w tarjaa
vector<vector<array<ll,2>>> dp(n+1,vector<array<ll,2>>(k+1,{INF,INF}));
vector<ll> childs(n+1,1);
function<void(int,int)> dfs=[&](int v,int p){
dp[v][1]=dp[v][0]={0,0};
for(auto [child,cost] : g[v]){
if(child == p)continue;
dfs(child,v);
vector<array<ll,2>> temp(k+1,{INF,INF});
for(int i=0;i<=min(k,childs[v]);i++){
temp[i]=dp[v][i];
}
for(int i=0;i<=min(k-1,childs[child]);i++){
temp[i+1][0]=min(temp[i+1][0],dp[child][i][0]+cost);
temp[i+1][1]=min(temp[i+1][1],dp[child][i][1]+cost*2);
}
for(int i=1;i<=min(k,childs[v]);i++){
for(int j=0;j<=min(k,childs[child]) && j+i<=k;j++){
ll sum=i+j;
ll c0=min(dp[v][i][1]+dp[child][j][0]+cost,dp[child][j][1]+cost*2+dp[v][i][0]);
temp[sum][0]=min(temp[sum][0],c0);
temp[sum][1]=min(temp[sum][1],dp[child][j][1]+cost*2+dp[v][i][1]);
}
}
childs[v]+=childs[child];
for(int i=0;i<=min(k,childs[v]);i++){
dp[v][i]=temp[i];
}
}
};
dfs(x,0);
cout<<dp[x][k][0]<<endl;
}
signed main() {
FAST;
ll t=1;
//cin>>t;
while(t--) solve();
}
