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>
#define F first
#define S second
#define all(x) x.begin(), x.end()
#define pb push_back
#define FIO ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0)
using namespace std;
typedef long long ll;
typedef pair <ll, ll> pii;
const int N = 7e4 + 7;
int n, k;
int siz[N], gt[N], bio[N], dp[N], dp2[N], pa[N];
ll ps[N], res[N];
vector <pii> adj[N];
vector <int> v, u;
int ind(vector <ll>& v_, ll x) {return lower_bound(all(v_), x)-v_.begin();}
struct F {
vector <int> fen;
vector <ll> g;
void init(vector <ll>& h) {
fen.clear(); g.clear();
sort(all(h)); h.erase(unique(all(h)), h.end());
g = h;
fen.resize(g.size(), 0);
}
void add(ll x, int val) {
x = ind(g, x);
for (x++; x <= g.size(); x += x & -x) fen[x-1] += val;
}
int get(int x) {
int out = 0;
for (x++; x; x -= x & -x) out += fen[x-1];
return out;
}
int query(ll l, ll r) {
l = ind(g, l)-1; r = ind(g, r+1)-1;
return get(r)-get(l);
}
} f;
int dfs(int x, int o = 0, int p = -1) {
if (o) v.pb(x);
u.pb(x);
pa[x] = p;
int lo = 0, hi = u.size()-1;
while (lo < hi) {
int mid = (lo + hi) / 2;
if (ps[x]-ps[u[mid]] <= k) hi = mid;
else lo = mid+1;
}
gt[x] = u[lo];
dp[x] = 0;
siz[x] = 1;
for (auto y : adj[x]) if (y.F != p && !bio[y.F]) {
ps[y.F] = ps[x] + y.S;
siz[x] += dfs(y.F, o, x);
}
dp[u[lo]] += dp[x]+1;
u.pop_back();
return siz[x];
}
void dfs2(int x, int p = -1) {
dp2[x] = f.query(ps[p], ps[x]-1);
f.add(ps[p]+k, dp2[x]);
for (auto y : adj[x]) if (y.F != p && !bio[y.F]) dfs2(y.F, x);
f.add(ps[p]+k, -dp2[x]);
}
void vdfs(int x, int p = -1) {
v.pb(x);
for (auto y : adj[x]) if (y.F != p && !bio[y.F]) vdfs(y.F, x);
}
int cent(int x, int m, int p = -1) {
for (auto y : adj[x]) if (y.F != p && !bio[y.F] && siz[y.F] > m/2) return cent(y.F, m, x);
return x;
}
void rek(int x) {
dfs(x);
int m = siz[x];
x = cent(x, m);
ps[x] = 0;
dfs(x);
for (auto y : adj[x]) {
if (bio[y.F]) continue;
vdfs(y.F, x);
vector <ll> g;
for (auto z : v) {
g.pb(k-ps[z]);
g.pb(ps[pa[z]]+k);
}
f.init(g);
for (auto z : v) {
res[z] += (ll)dp[z]*(m-siz[y.F]);
if (ps[z] <= k) f.add(k-ps[z], dp[z]+1);
}
dfs2(y.F, x);
for (auto z : v) res[pa[z]] -= (ll)dp2[z]*siz[z];
v.clear();
}
vector <ll> g;
for (auto y : adj[x]) if (!bio[y.F]) vdfs(y.F, x);
g.pb(k);
for (auto y : v) {
g.pb(k-ps[y]);
g.pb(ps[pa[y]]+k);
}
f.init(g);
f.add(k, 1);
for (auto y : v) if (ps[y] <= k) f.add(k-ps[y], dp[y]+1);
for (auto y : adj[x]) if (!bio[y.F]) dfs2(y.F, x);
for (auto y : v) res[pa[y]] += (ll)dp2[y]*siz[y];
v.clear();
bio[x] = 1;
for (auto y : adj[x]) if (!bio[y.F]) rek(y.F);
}
int main () {
FIO;
cin >> n >> k;
for (int i = 0; i < n-1; i++) {
int x, y, w; cin >> x >> y >> w;
adj[x].pb({y, w});
adj[y].pb({x, w});
}
rek(0);
for (int i = 0; i < n; i++) cout << res[i] << "\n";
return 0;
}
Compilation message (stderr)
Main.cpp: In member function 'void first::add(ll, int)':
Main.cpp:35:15: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
35 | for (x++; x <= g.size(); x += x & -x) fen[x-1] += val;
| ~~^~~~~~~~~~~
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