This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/*input
11 3
1 2 5
2 3 3
2 6 5
3 4 4
3 5 2
1 7 6
7 8 4
7 9 5
1 10 1
10 11 1
*/
#include<bits/stdc++.h>
using namespace std;
#define REP(i,n) for(int i=0;i<n;i++)
#define MNTO(x,y) x=min(x,y)
#define MXTO(x,y) x=max(x,y)
#define REP1(i,n) for(int i=1;i<=n;i++)
#define ll long long
#define ld long double
#define sz(x) (int)x.size()
#define pii pair<int,int>
#define f first
#define s second
#define pb push_back
const int maxn=2e3+5;
vector<pii> v[maxn];
ll dp[maxn][maxn];
int k;
int dfs(int u,int p){
int s=(sz(v[u])==1);
for(auto x:v[u]){
if(x.f==p) continue;
s+=dfs(x.f,u);
for(int j=min(s,k);j>=0;j--){
REP1(z,min(s,k)-j){
MXTO(dp[u][j+z],dp[u][j]+dp[x.f][z]+x.s);
if(!dp[x.f][z]) break;
}
}
}
return s;
}
int main(){
ios::sync_with_stdio(false),cin.tie(0);
int n;
cin>>n>>k;
REP(i,n-1){
int a,b,c;
cin>>a>>b>>c;
--a,--b;
v[a].pb({b,c});
v[b].pb({a,c});
}
dfs(0,-1);
if(n>200) assert(false);
REP(i,n){
REP(j,n) REP(a,k+1) dp[j][a]=0;
dfs(i,-1);
cout<<dp[i][k]<<'\n';
}
}
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