// -------------------- Includes -------------------- //
#define _CRT_SECURE_NO_WARNINGS
#define _USE_MATH_DEFINES
#include <iostream>
#include <iomanip>
#include <cstdio>
#include <stdio.h>
#include <cstdlib>
#include <stdlib.h>
#include <array>
#include <string>
#include <cstring>
#include <algorithm>
#include <cmath>
#include <math.h>
#include <set>
#include <map>
#include <unordered_set>
#include <unordered_map>
#include <vector>
#include <stack>
#include <queue>
#include <deque>
#include <bitset>
#include <list>
#include <iterator>
#include <numeric>
#include <complex>
#include <tuple>
#include <utility>
#include <cassert>
#include <assert.h>
#include <climits>
#include <limits.h>
#include <ctime>
#include <time.h>
#include <random>
#include <chrono>
#include <fstream>
using namespace std;
// -------------------- Typedefs -------------------- //
typedef long long ll;
typedef unsigned long long ull;
typedef double db;
typedef long double ld;
// -------------------- Defines -------------------- //
#define pr pair
#define mpr make_pair
#define ff first
#define ss second
#define mset multiset
#define mmap multimap
#define uset unordered_set
#define umap unordered_map
#define umset unordered_multiset
#define ummap unordered_multimap
#define pqueue priority_queue
#define sz(x) (int((x).size()))
#define len(x) (int((x).length()))
#define all(x) (x).begin(), (x).end()
#define clr(x) (x).clear()
#define ft front
#define bk back
#define pf push_front
#define pb push_back
#define popf pop_front
#define popb pop_back
#define lb lower_bound
#define ub upper_bound
#define bs binary_search
// -------------------- Constants -------------------- //
const int MAX = int(1e9 + 5);
const ll MAXL = ll(1e18 + 5);
const ll MOD = ll(1e9 + 7);
const ll MOD2 = ll(998244353);
// -------------------- Functions -------------------- //
void fastio()
{
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
return;
}
void precision(int x)
{
cout << fixed << setprecision(x);
return;
}
ll gcd0(ll a, ll b)
{
while (b) {
a %= b;
swap(a, b);
}
return a;
}
ll lcm0(ll a, ll b)
{
return a / gcd0(a, b) * b;
}
bool is_prime(ll a)
{
if (a == 1) return false;
for (ll i = 2; i * i <= a; i++) if (a % i == 0) return false;
return true;
}
bool is_square(ll a)
{
ll b = ll(sqrtl(ld(a)));
return (b * b == a);
}
bool is_cube(ll a)
{
ll b = ll(cbrtl(ld(a)));
return (b * b * b == a);
}
int digit_sum(ll a)
{
int sum = 0;
while (a) {
sum += int(a % 10);
a /= 10;
}
return sum;
}
ll binpow(ll a, int b)
{
ll ans = 1;
while (b) {
if (b & 1) ans *= a;
b >>= 1;
a *= a;
}
return ans;
}
ll binpow_mod(ll a, ll b, ll mod)
{
ll ans = 1;
while (b) {
if (b & 1) ans = (ans * a) % mod;
b >>= 1;
a = (a * a) % mod;
}
return ans;
}
ll factorial(int a)
{
ll ans = 1;
for (int i = 2; i <= a; i++) ans *= ll(i);
return ans;
}
ll factorial_mod(int a, ll mod)
{
ll ans = 1;
for (int i = 2; i <= a; i++) ans = (ans * ll(i)) % mod;
return ans;
}
// -------------------- Solution -------------------- //
const int N = 70005;
int a[N];
ll b[N], pref[N];
vector<pr<int, int>> g[N];
int sz[N];
ll cnt[1005][1005];
ll ans[N];
int n, k;
void dfs(int u, int p = 0)
{
int i, j;
int v;
for (i = 0; i < sz(g[u]); i++) {
v = g[u][i].ff;
if (v == p) continue;
dfs(v, u);
sz[u] += sz[v];
for (j = 0; j < g[u][i].ss; j++) cnt[u][k - g[u][i].ss] += cnt[v][j];
for (j = g[u][i].ss; j <= k; j++) cnt[u][j - g[u][i].ss] += cnt[v][j];
}
sz[u]++;
cnt[u][k]++;
return;
}
void dfs2(int u, int p, int id)
{
int i, j;
int v;
a[id] = u;
for (i = 0; i < sz(g[u]); i++) {
v = g[u][i].ff;
if (v == p) continue;
b[id] = g[u][i].ss;
dfs2(v, u, id + 1);
}
return;
}
ll op[N];
ll qry(int l, int r)
{
return pref[r] - pref[l - 1];
}
ll cn[N][15];
ll ncn[15];
void dfs3(int u, int p = 0)
{
int i, j;
int v;
for (i = 0; i < sz(g[u]); i++) {
v = g[u][i].ff;
if (v == p) continue;
dfs3(v, u);
sz[u] += sz[v];
for (j = 0; j < g[u][i].ss; j++) cn[u][k - g[u][i].ss] += cn[v][j];
for (j = g[u][i].ss; j <= k; j++) cn[u][j - g[u][i].ss] += cn[v][j];
}
sz[u]++;
cn[u][k]++;
return;
}
void dfs4(int u, int p, int l)
{
int i, j;
int v;
ll c;
g[u].pb(mpr(0, l));
for (j = 0; j < l; j++) cn[u][k - l] += cn[0][j];
for (j = l; j <= k; j++) cn[u][j - l] += cn[0][j];
for (i = 0; i < sz(g[u]); i++) {
v = g[u][i].ff;
if (v == p) continue;
for (j = 0; j < g[u][i].ss; j++) cn[u][k - g[u][i].ss] -= cn[v][j];
for (j = g[u][i].ss; j <= k; j++) cn[u][j - g[u][i].ss] -= cn[v][j];
c = 0;
for (j = 0; j < g[u][i].ss; j++) c += cn[u][j];
ans[u] += c * ll(sz[v]);
for (j = 0; j < g[u][i].ss; j++) cn[u][k - g[u][i].ss] += cn[v][j];
for (j = g[u][i].ss; j <= k; j++) cn[u][j - g[u][i].ss] += cn[v][j];
}
for (j = 0; j < l; j++) cn[u][k - l] -= cn[0][j];
for (j = l; j <= k; j++) cn[u][j - l] -= cn[0][j];
g[u].popb();
for (j = 0; j <= k; j++) ncn[j] = 0;
for (j = 0; j < l; j++) ncn[k - l] += cn[0][j];
for (j = l; j <= k; j++) ncn[j - l] += cn[0][j];
for (j = 0; j <= k; j++) cn[0][j] = ncn[j] + cn[u][j];
sz[0] += sz[u];
for (i = 0; i < sz(g[u]); i++) {
v = g[u][i].ff;
if (v == p) continue;
for (j = 0; j < g[u][i].ss; j++) cn[0][k - g[u][i].ss] -= cn[v][j];
for (j = g[u][i].ss; j <= k; j++) cn[0][j - g[u][i].ss] -= cn[v][j];
sz[0] -= sz[v];
dfs4(v, u, g[u][i].ss);
sz[0] += sz[v];
for (j = 0; j < g[u][i].ss; j++) cn[0][k - g[u][i].ss] += cn[v][j];
for (j = g[u][i].ss; j <= k; j++) cn[0][j - g[u][i].ss] += cn[v][j];
}
return;
}
void solve()
{
int i, j;
cin >> n >> k;
int u, v, l;
for (i = 1; i < n; i++) {
cin >> u >> v >> l;
g[u + 1].pb(mpr(v + 1, l));
g[v + 1].pb(mpr(u + 1, l));
}
if (n >= 1000 && k <= 1000) {
ll c;
for (u = 1; u <= n; u++) {
memset(sz, 0, sizeof(sz));
for (i = 1; i <= n; i++) memset(cnt[i], 0, sizeof(sz));
dfs(u);
for (i = 0; i < sz(g[u]); i++) {
v = g[u][i].ff;
for (j = 0; j < g[u][i].ss; j++) cnt[u][k - g[u][i].ss] -= cnt[v][j];
for (j = g[u][i].ss; j <= k; j++) cnt[u][j - g[u][i].ss] -= cnt[v][j];
c = 0;
for (j = 0; j < g[u][i].ss; j++) c += cnt[u][j];
ans[u] += c * ll(sz[v]);
for (j = 0; j < g[u][i].ss; j++) cnt[u][k - g[u][i].ss] += cnt[v][j];
for (j = g[u][i].ss; j <= k; j++) cnt[u][j - g[u][i].ss] += cnt[v][j];
}
}
for (i = 1; i <= n; i++) cout << ans[i] << "\n";
return;
}
int d = 0;
for (i = 1; i <= n; i++) d = max(d, sz(g[i]));
if (d <= -2) {
for (i = 1; i <= n; i++) {
if (sz(g[i]) == 1) {
dfs2(i, 0, 1);
break;
}
}
b[n] = MAXL;
for (i = 1; i <= n; i++) {
pref[i] = pref[i - 1] + b[i];
op[i] = 1;
}
int l, r, mid;
for (i = 1; i < n; i++) {
l = i + 1; r = n;
while (l < r) {
mid = (l + r) / 2;
if (qry(i, mid) <= ll(k)) l = mid + 1;
else r = mid;
}
ans[a[l]] += op[i] * ll(n - l);
op[l] += op[i];
}
// ---------------------
for (i = 1; i <= n / 2; i++) swap(a[i], a[n + 1 - i]);
for (i = 1; i <= (n - 1) / 2; i++) swap(b[i], b[n - i]);
for (i = 1; i <= n; i++) {
pref[i] = pref[i - 1] + b[i];
op[i] = 1;
}
for (i = 1; i < n; i++) {
l = i + 1; r = n;
while (l < r) {
mid = (l + r) / 2;
if (qry(i, mid) <= ll(k)) l = mid + 1;
else r = mid;
}
ans[a[l]] += op[i] * ll(n - l);
op[l] += op[i];
}
for (i = 1; i <= n; i++) cout << ans[i] << "\n";
return;
}
dfs3(1, 0);
dfs4(1, 0, -1);
for (i = 1; i <= n; i++) cout << ans[i] << "\n";
return;
}
void precalc()
{
return;
}
int main()
{
fastio();
precalc();
int tests = 1, tc;
//cin >> tests;
for (tc = 1; tc <= tests; tc++) {
solve();
}
return 0;
}
/*
# # # # # # # # # # # # # # # # #
# # # # # # # # # #
# # # # # # # # # # # # #
# # # # # # # # # # # #
# # # # # # # # # # # # # #
*/
Compilation message
Main.cpp: In function 'void dfs2(int, int, int)':
Main.cpp:217:9: warning: unused variable 'j' [-Wunused-variable]
217 | int i, j;
| ^
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
4956 KB |
Output is correct |
| 2 |
Correct |
1 ms |
4956 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
4956 KB |
Output is correct |
| 2 |
Correct |
1 ms |
4956 KB |
Output is correct |
| 3 |
Incorrect |
4 ms |
5212 KB |
Output isn't correct |
| 4 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
4956 KB |
Output is correct |
| 2 |
Runtime error |
25 ms |
29544 KB |
Execution killed with signal 11 |
| 3 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
4956 KB |
Output is correct |
| 2 |
Correct |
1 ms |
4956 KB |
Output is correct |
| 3 |
Correct |
1 ms |
4956 KB |
Output is correct |
| 4 |
Runtime error |
25 ms |
29544 KB |
Execution killed with signal 11 |
| 5 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
4956 KB |
Output is correct |
| 2 |
Correct |
1 ms |
4956 KB |
Output is correct |
| 3 |
Runtime error |
25 ms |
29532 KB |
Execution killed with signal 11 |
| 4 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
4956 KB |
Output is correct |
| 2 |
Correct |
1 ms |
4956 KB |
Output is correct |
| 3 |
Runtime error |
25 ms |
29532 KB |
Execution killed with signal 11 |
| 4 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
4956 KB |
Output is correct |
| 2 |
Correct |
1 ms |
4956 KB |
Output is correct |
| 3 |
Incorrect |
4 ms |
5212 KB |
Output isn't correct |
| 4 |
Halted |
0 ms |
0 KB |
- |
