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;
typedef long long ll;
typedef vector<ll> vll;
typedef vector<vll> vvll;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef pair<int, int> pi;
typedef vector<pi> vpi;
typedef vector<vpi> vvpi;
typedef pair<ll, ll> pll;
typedef vector<pll> vpll;
typedef vector<bool> vb;
typedef set<ll> sll;
#define IOS cin.tie(0); cout.tie(0); ios_base::sync_with_stdio(false)
#define INF(dtype) numeric_limits<dtype>::max()
#define NINF(dtype) numeric_limits<dtype>::min()
#define fi first
#define se second
#define pb push_back
typedef vector<vb> vvb;
typedef vector<vvb> v3b;
typedef vector<v3b> v4b;
typedef vector<string> vs;
struct state {
int i, p;
int fuel;
};
void compute_depth(int i, int d, const vvi& adj, vi& depth) {
depth[i] = d;
// cout << i << " " << d << endl;
for(int j : adj[i]) {
compute_depth(j, d + 1, adj, depth);
}
}
int compute_size(int i, const vvi& adj, vi& tree_sz) {
int& ans = tree_sz[i];
ans += 1;
for(int j : adj[i]) {
ans += compute_size(j, adj, tree_sz);
}
return ans;
}
vi solve(int n, int k, const vvpi& adj) {
// Root the tree at zero
vvi adjtree;
for(int i = 0; i < n; i++) {
vi adjtreer;
adjtree.pb(adjtreer);
}
queue<pi> q1;
q1.push({0, 0});
while(!q1.empty()) {
auto [i, p] = q1.front();
if(i != p) adjtree[p].pb(i);
q1.pop();
for(auto [j, _]: adj[i]) {
if(j == p) continue;
q1.push({j, i});
}
}
// Compute heights and subtree sizes
vi depth(n, 0);
vi tree_sz(n, 0);
compute_depth(0, 0, adjtree, depth);
// cout << "Anya likes peanuts" << endl;
compute_size(0, adjtree, tree_sz);
// BFS time
vi ans(n, 0);
for(int s = 0; s < n; s++) {
queue<state> q;
q.push({s, s, k});
while(!q.empty()) {
auto [i, p, fuel] = q.front();
q.pop();
for(auto [j, l] : adj[i]) {
if(j == p) continue;
if(fuel < l) {
if(depth[j] > depth[i]) {
// Case 1: i->j descends, then the number of paths
// is the subtree size of j
ans[i] += tree_sz[j];
} else {
// Case 2: i->j ascends, then the number of paths is
// n - subtree size i
ans[i] += n - tree_sz[i];
}
q.push({j, i, k - l});
} else {
q.push({j, i, fuel - l});
}
}
}
}
return ans;
}
int main() {
int n, k; cin >> n >> k;
vvpi adj;
for(int i = 0; i < n; i++) {
vpi adjr;
adj.pb(adjr);
}
for(int i = 0; i < n - 1; i++) {
int u, v, l;
cin >> u >> v >> l;
adj[u].pb({v, l});
adj[v].pb({u, l});
}
vi ans = solve(n, k, adj);
for(int v : ans) cout << v << "\n";
cout << flush;
return 0;
}
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