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;
#define fi first
#define se second
#define ll long long
#define mp make_pair
#define pb push_back
#define pii pair<int, int>
#define pll pair<ll, ll>
#define MASK(i) (1LL << (i))
#define BIT(x, i) (((x) >> (i)) & 1)
#define TIME (1.0 * clock() / CLOCKS_PER_SEC)
#define file "name"
template <typename T1, typename T2> bool minimize(T1 &a, T2 b){if (a > b) {a = b; return true;} return false;}
template <typename T1, typename T2> bool maximize(T1 &a, T2 b){if (a < b) {a = b; return true;} return false;}
const int mod = 1e9 + 7;
const int N = 1e4 + 2;
const int inf = 1e9;
int n, k, x;
int sz[N];
vector <int> f[N][2];
vector <pii> a[N];
void inp()
{
cin >> n >> k >> x;
for(int i = 1; i < n; ++i) {
int u, v, w;
cin >> u >> v >> w;
a[u].pb({v, w});
a[v].pb({u, w});
}
}
void size_subtree(int u, int pre) {
sz[u] = 1;
for(auto v : a[u]) {
if(v.fi == pre) continue;
size_subtree(v.fi, u);
sz[u] += sz[v.fi];
}
}
void dfs(int u, int pre) {
f[u][0].assign(min(k, sz[u]) + 2, inf);
f[u][1].assign(min(k, sz[u]) + 2, inf);
f[u][0][0] = f[u][0][1] = f[u][1][0] = f[u][1][1] = 0;
int tot = 1;
for(auto e : a[u]) {
int v = e.fi, w = e.se;
if(v == pre) continue;
dfs(v, u);
tot += sz[v];
for(int i = tot; i >= 2; --i) {
if(i > k) continue;
for(int j = max(0, i - tot + sz[v]); j <= min(i, sz[v]); ++j) {
minimize(f[u][0][i], f[u][0][i - j] + f[v][1][j] + 2 * w);
minimize(f[u][0][i], f[u][1][i - j] + f[v][0][j] + w);
minimize(f[u][1][i], f[u][1][i - j] + f[v][1][j] + 2 * w);
}
}
}
}
void solve()
{
size_subtree(x, x);
dfs(x, x);
cout << f[x][0][k];
}
int main()
{
cin.tie(0)->sync_with_stdio(0);
// freopen(file".inp" , "r" , stdin);
// freopen(file".out" , "w" , stdout);
inp();
solve();
return 0;
}
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