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 <stdio.h>
#include <stdlib.h>
#define N	100000
#define INF	0x3f3f3f3f3f3f3f3fLL
int *ej[N], *ew[N], eo[N], jj[N], n, k; long long ans[N];
void append(int i, int j, int w) {
	int o = eo[i]++;
	if (o >= 2 && (o & o - 1) == 0) {
		ej[i] = (int *) realloc(ej[i], o * 2 * sizeof *ej[i]);
		ew[i] = (int *) realloc(ew[i], o * 2 * sizeof *ew[i]);
	}
	ej[i][o] = j, ew[i][o] = w;
}
long long cc[N], sum; int pq[2][N], iq[2][N + 1], cnt[2], mode;
int lt(int i, int j) { return mode == 0 ? cc[i] < cc[j] : cc[i] > cc[j]; }
int p2(int p) {
	return (p *= 2) > cnt[mode] ? 0 : (p < cnt[mode] && lt(iq[mode][p + 1], iq[mode][p]) ? p + 1 : p);
}
void pq_up(int i) {
	int p, q, j;
	for (p = pq[mode][i]; (q = p / 2) && lt(i, j = iq[mode][q]); p = q)
		iq[mode][pq[mode][j] = p] = j;
	iq[mode][pq[mode][i] = p] = i;
}
void pq_dn(int i) {
	int p, q, j;
	for (p = pq[mode][i]; (q = p2(p)) && lt(j = iq[mode][q], i); p = q)
		iq[mode][pq[mode][j] = p] = j;
	iq[mode][pq[mode][i] = p] = i;
}
void pq_add(int i) {
	pq[mode][i] = ++cnt[mode], pq_up(i);
}
int pq_first() {
	return iq[mode][1];
}
void pq_remove(int i) { 
	int j = iq[mode][cnt[mode]--];
	if (j != i)
		pq[mode][j] = pq[mode][i], pq_up(j), pq_dn(j);
	pq[mode][i] = 0;
}
void add(int i) {
	mode = 0;
	pq_add(i), sum += cc[i];
	if (cnt[0] > k) {
		i = pq_first();
		pq_remove(i), sum -= cc[i];
		mode = 1;
		pq_add(i);
	}
}
void remove_(int i) {
	if (pq[1][i]) {
		mode = 1;
		pq_remove(i);
	} else {
		mode = 0;
		pq_remove(i), sum -= cc[i];
		mode = 1;
		if (cnt[1]) {
			i = pq_first();
			pq_remove(i);
			mode = 0;
			pq_add(i), sum += cc[i];
		}
	}
}
void dfs1(int p, int i) {
	int o;
	jj[i] = -1;
	for (o = eo[i]; o--; ) {
		int j = ej[i][o], w = ew[i][o];
		if (j != p) {
			dfs1(i, j);
			cc[j] += w;
			if (jj[i] == -1 || cc[jj[i]] < cc[j])
				jj[i] = j;
		}
	}
	cc[i] = jj[i] == -1 ? 0 : cc[jj[i]];
	for (o = eo[i]; o--; ) {
		int j = ej[i][o];
		if (j != p && j != jj[i])
			add(j);
	}
}
void dfs2(int p, int i) {
	int o, j1, j2, k;
	long long c;
	c = cc[i];
	ans[i] = sum;
	if (eo[i] == 1)
		return;
	j1 = -1, j2 = -1;
	for (o = eo[i]; o--; ) {
		int j = ej[i][o];
		if (j1 == -1 || cc[j1] < cc[j])
			j2 = j1, j1 = j;
		else if (j2 == -1 || cc[j2] < cc[j])
			j2 = j;
	}
	for (o = eo[i]; o--; ) {
		int j = ej[i][o], w = ew[i][o];
		if (j != p) {
			remove_(j);
			if ((k = jj[j]) != -1)
				add(k);
			k = j != j1 ? j1 : j2;
			cc[i] = cc[k] + w;
			remove_(k), add(i);
			dfs2(i, j);
			remove_(i), add(k);
			if ((k = jj[j]) != -1)
				remove_(k);
			add(j);
		}
	}
	cc[i] = c;
}
int main() {
	int h, i, j, w;
	scanf("%d%d", &n, &k);
	if (n == 1) {
		printf("0\n");
		return 0;
	}
	if (n == 2) {
		scanf("%*d%*d%d", &w);
		printf("%d\n", w);
		return 0;
	}
	for (i = 0; i < n; i++) {
		ej[i] = (int *) malloc(2 * sizeof *ej[i]);
		ew[i] = (int *) malloc(2 * sizeof *ew[i]);
	}
	for (h = 0; h < n - 1; h++) {
		scanf("%d%d%d", &i, &j, &w), i--, j--;
		append(i, j, w), append(j, i, w);
	}
	i = 0;
	while (eo[i] == 1)
		i++;
	dfs1(-1, i), add(jj[i]);
	dfs2(-1, i);
	for (i = 0; i < n; i++)
		printf("%lld\n", ans[i]);
	return 0;
}
Compilation message (stderr)
Main.c: In function 'append':
Main.c:12:23: warning: suggest parentheses around '-' in operand of '&' [-Wparentheses]
   12 |  if (o >= 2 && (o & o - 1) == 0) {
      |                     ~~^~~
Main.c: In function 'main':
Main.c:150:2: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
  150 |  scanf("%d%d", &n, &k);
      |  ^~~~~~~~~~~~~~~~~~~~~
Main.c:156:3: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
  156 |   scanf("%*d%*d%d", &w);
      |   ^~~~~~~~~~~~~~~~~~~~~
Main.c:165:3: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
  165 |   scanf("%d%d%d", &i, &j, &w), i--, j--;
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