#include <bits/stdc++.h>
using namespace std;

const int N = 1e5 + 10;
vector<int> edge[N];
int f[N][25], g[N][25];
int val[N];
int n, k;

void dp(int u, int fa) {
    for (int i = 0; i <= k; i++)
        f[u][i] = val[u];
    for (int i = 0; i < edge[u].size(); i++) {
        int son = edge[u][i];
        if (son == fa) continue;
        dp(son, u);

        for (int j = 1; j <= k; j++) f[u][j] += f[son][j - 1];
    }
    return;
}

void dp2(int u, int fa) {
    for (int i = 0; i < edge[u].size(); i++) {
        int son = edge[u][i];
        if (son == fa)
            continue;
        g[son][0] = val[son];
        g[son][1] = f[son][1] + val[u];
        for (int j = 2; j <= k; j++) {
            g[son][j] = g[u][j - 1] + f[son][j] - f[son][j - 2];
        }

        dp2(son, u);
    }
}

int main() {
    cin >> n >> k;
    for (int i = 0; i < n - 1; i++) {
        int a, b;
        cin >> a >> b;
        edge[a].push_back(b);
        edge[b].push_back(a);
    }

    for (int i = 1; i <= n; i++) cin >> val[i];

    dp(1, 0);
    for (int i = 0; i <= k; i++) g[1][i] = f[1][i];
    dp2(1, 0);
    for (int i = 1; i <= n; i++) cout << g[i][k] << endl;
    return 0;
}