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>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
using namespace __gnu_pbds;
typedef long long ll;
typedef long double ld;
typedef complex<ld> cd;
typedef pair<int, int> pi;
typedef pair<ll,ll> pl;
typedef pair<ld,ld> pd;
typedef vector<int> vi;
typedef vector<ld> vd;
typedef vector<ll> vl;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<cd> vcd;
template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag,tree_order_statistics_node_update>;
#define FOR(i, a, b) for (int i=a; i<(b); i++)
#define F0R(i, a) for (int i=0; i<(a); i++)
#define FORd(i,a,b) for (int i = (b)-1; i >= a; i--)
#define F0Rd(i,a) for (int i = (a)-1; i >= 0; i--)
#define sz(x) (int)(x).size()
#define mp make_pair
#define pb push_back
#define f first
#define s second
#define lb lower_bound
#define ub upper_bound
#define all(x) x.begin(), x.end()
const int MOD = 1000000007;
const ll INF = 1e18;
const int MX = 10001;
int n,k,x;
vpi adj[MX];
vi bes[MX][2];
vi bet(vi a, vi b) {
F0R(i,sz(a)) a[i] = min(a[i],b[i]);
return a;
}
vi conv(vi a, vi b) {
vi res(sz(a)+sz(b)-1);
F0R(i,sz(res)) res[i] = MOD;
F0R(i,sz(a)) F0R(j,sz(b)) res[i+j] = min(res[i+j],a[i]+b[j]);
return res;
}
void comb(int a, int b) {
bes[a][0] = bet(conv(bes[a][0],bes[b][1]),conv(bes[a][1],bes[b][0]));
bes[a][1] = conv(bes[a][1],bes[b][1]);
}
void dfs(int a, int b) {
bes[a][0] = bes[a][1] = {0,0};
for (auto x: adj[a]) if (x.f != b) {
dfs(x.f,a);
FOR(i,1,sz(bes[x.f][0])) {
bes[x.f][0][i] += x.s;
bes[x.f][1][i] += 2*x.s;
}
comb(a,x.f);
}
/*cout << a << " | ";
for (int i: bes[a][0]) cout << i << " ";
cout << "\n";*/
}
int main() {
ios_base::sync_with_stdio(0); cin.tie(0);
cin >> n >> k >> x;
F0R(i,n-1) {
int a,b,c; cin >> a >> b >> c;
adj[a].pb({b,c}), adj[b].pb({a,c});
}
dfs(x,0);
cout << bes[x][0][k];
}
/* Look for:
* the exact constraints (multiple sets are too slow for n=10^6 :( )
* special cases (n=1?)
* overflow (ll vs int?)
* array bounds
*/
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