This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/// HuDzG
#include <bits/stdc++.h>
#define reset(a) memset(a,0,sizeof(a))
#define ll long long
#define ld long double
#define endl '\n'
#define AutoAC int main()
#define OO 1000000007
#define F first
#define S second
#define pii pair <int, int>
#define pll pair <ll, ll>
#define pb push_back
#define mp make_pair
#define nmax 1000005
#define HUNGIT ""
#define MOD 1000000007
using namespace std;
int n, k;
vector <pii> adj[nmax];
int res = OO;
int cntChild[nmax], Min[nmax];
bool isCentroid[nmax];
int getCntChild(int u, int p)
{
cntChild[u] = 1;
for(pii v : adj[u])
if(v.F != p && !isCentroid[v.F]) cntChild[u] += getCntChild(v.F, u);
return cntChild[u];
}
int findCentroid(int u, int p, int Size)
{
for(pii v : adj[u])
if(v.F != p && !isCentroid[v.F] && cntChild[v.F] > Size) return findCentroid(v.F, u, Size);
return u;
}
void dfs(int u, int p, bool isFill, int length, int depth)
{
if(length > k) return;
if(isFill) Min[length] = min(Min[length], depth);
else res = min(res, depth + Min[k - length]);
for(pii v : adj[u])
{
if(v.F != p && !isCentroid[v.F])
{
dfs(v.F, u, isFill, length + v.S, depth + 1);
}
}
}
void dfsReset(int u, int p, int length)
{
if(length > k) return;
Min[length] = OO;
for(pii v : adj[u])
if(v.F != p && !isCentroid[v.F]) dfsReset(v.F, u, length + v.S);
}
void decompose(int u)
{
int centroid = findCentroid(u, 0, getCntChild(u, 0) >> 1);
isCentroid[centroid] = 1;
Min[0] = 0;
for(pii v : adj[centroid])
if(!isCentroid[v.F])
{
dfs(v.F, centroid, 0, v.S, 1);
dfs(v.F, centroid, 1, v.S, 1);
}
dfsReset(centroid, 0, 0);
for(pii v : adj[centroid])
if(!isCentroid[v.F]) decompose(v.F);
}
int best_path(int N, int K, int H[][2], int L[])
{
n = N; k = K;
for(int i = 0; i < n - 1; i++)
{
int u = H[i][0], v = H[i][1], w = L[i];
u++; v++;
adj[u].pb(mp(v, w));
adj[v].pb(mp(u, w));
}
fill(Min + 1, Min + 1 + k, OO);
decompose(1);
return (res == OO ? -1 : res);
}
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