This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma GCC optimize("O1,O2,O3,Ofast,unroll-loops")
#include <bits/stdc++.h>
using namespace std;
#define fi first
#define se second
#define pb push_back
typedef long long ll;
typedef pair<int, int> ii;
typedef vector<int> vi;
const char nl = '\n';
void fastIO() {
ios::sync_with_stdio(false);
cin.tie(0);
}
const int MAX = 70005;
ll N, K;
vector<ii> adj[MAX];
vector<ll> subsz(MAX, 0);
vi par(MAX, -1);
void dfs(int n) {
subsz[n] = 1;
for (ii x : adj[n]) {
if (subsz[x.fi] == 0) {
dfs(x.fi);
par[x.fi] = n;
subsz[n] += subsz[x.fi];
}
}
}
int main() {
fastIO();
cin>>N>>K;
for (int i = 0; i < N - 1; i++) {
int u, v, w; // w <= 1e9, can be int
cin>>u>>v>>w;
adj[u].pb({v, w});
adj[v].pb({u, w});
}
dfs(0);
/* cout<<"subsz: ";
for (int i = 0; i < N; i++) {
cout<<subsz[i]<<" ";
}
cout<<endl;*/
vi leaves;
for (int i = 0; i < N; i++) {
if (adj[i].size() == 1)
leaves.pb(i);
}
map<ii, int> rem;
for (int i = 0; i < N; i++) {
for (ii p : adj[i]) {
rem[{i, p.fi}] = adj[i].size() - 1;
}
}
/* cout<<"rem: "<<endl;
for (pair<ii, int> p : rem)
cout<<"("<<p.fi.fi<<", "<<p.fi.se<<"): "<<p.se<<endl;*/
vi base(K + 2, 0);
base[K] = 1;
base[K + 1] = 0;
map<ii, vi> info;
queue<ii> q;
for (int x : leaves) {
q.push({x, adj[x][0].fi});
info[{x, adj[x][0].fi}] = base;
}
while (!q.empty()) {
ii x = q.front();
// {curr, next}
q.pop();
for (ii p : adj[x.se]) {
// p is {vertex, dist}
if (p.fi == x.fi)
continue;
// subtract 1 from rem
// if rem becomes 0, push
ii y = {x.se, p.fi};
rem[y]--;
vi toput = base;
if (rem[y] == 0) {
q.push(y);
// calculate info for y
// find all previous
for (ii q : adj[x.se]) {
if (q.fi == p.fi)
continue;
vi v = info[{q.fi, x.se}];
for (int j = q.se; j <= K; j++) { // need refill
int arrive = j - q.se;
if (arrive < p.se) {
toput[K] += v[j];
if (q.se == 0) {
if (j != K)
toput[K + 1] += v[j];
}
else {
toput[K + 1] += v[j];
}
}
else {
toput[arrive] += v[j];
}
}
}
}
info[y] = toput;
}
}
/* cout<<"info: ";
for (pair<ii, vi> p : info) {
cout<<"("<<p.fi.fi<<", "<<p.fi.se<<"): ";
for (int x : p.se)
cout<<x<<" ";
cout<<endl;
}*/
vector<ll> ans(N, 0);
for (pair<ii, vi> p : info) {
ll pre = p.se[K + 1]; // number of refills, excluding start
int x = p.fi.fi;
int y = p.fi.se;
// cout<<"at "<<x<<" "<<y<<endl;
// going from x to y
// ans[x] += (the size of y) times pre
if (par[y] == x) { // x is above y
ans[x] += (subsz[y]) * pre;
// cout<<"adding above "<<(subsz[y]) * pre<<endl;
}
else { // y is above x
ans[x] += (N - subsz[x]) * pre;
// cout<<"adding below "<<(N - subsz[x]) * pre<<endl;
}
}
// cout<<"ANSWER: ";
for (ll x : ans)
cout<<x<<" ";
cout<<endl;
}
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