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;
// #ifdef LOCAL
// #define fprintf(...) {}
// #endif
using ll = long long;
const int N = 1e5 + 5;
template<class X, class Y>
inline void maxi(X &x, Y y) {
if (x < y) x = y;
}
vector<int> g[N];
int n, k, a[N];
ll s[N];
ll ans = 0, INF;
ll up[N][101][2], down[N][101][2], sdown[101][2];
int par[N];
void dfs_init(int x, int p) {
par[x] = p;
for (int i = g[x].size() - 1; i >= 0; i--) {
int y = g[x][i];
if (y != p) continue;
swap(g[x][i], g[x].back());
g[x].pop_back();
}
for (int y: g[x]) dfs_init(y, x);
}
void dfs(int x) {
up[x][0][0] = down[x][0][0] = 0;
if (k > 0) {
up[x][1][1] = s[x];
down[x][1][0] = s[x] - a[par[x]];
if (k > 1) down[x][1][1] = s[x] - a[par[x]];
}
for (int y: g[x]) {
dfs(y);
memset(sdown, -63, sizeof sdown);
for (int i = 0; i <= k; i++) {
for (int j = 0; j < 2; j++) {
sdown[i][j] = down[y][i][j];
if (i) maxi(sdown[i][j], sdown[i - 1][j]);
}
}
for (int i = 0; i <= k; i++) {
for (int j = 0; j < 2; j++) {
maxi(ans, up[x][i][j] + sdown[k - i][j]);
// if (up[x][i][j] + sdown[k - i][j] == 24) {
// fprintf(stderr, "at up[%d][%d][%d] = %lld and sdown[%d][%d][%d] = %lld\n", x, i, j, up[x][i][j], y, k - i, j, sdown[k - i][j]);
// }
}
}
for (int i = 0; i <= k; i++) {
for (int j = 0; j < 2; j++) {
ll cur = up[y][i][j];
if (i < k) maxi(up[x][i + 1][1], cur + s[x] - a[y]);
maxi(up[x][i][0], cur);
}
}
for (int i = 0; i <= k; i++) {
if (i < k) {
maxi(down[x][i + 1][1], down[y][i][1] + s[x] - a[par[x]]);
maxi(down[x][i + 1][0], down[y][i][1] + s[x] - a[par[x]]);
}
maxi(down[x][i][1], down[y][i][0]);
maxi(down[x][i][0], down[y][i][0]);
}
}
for (int i = 0; i <= k; i++) {
for (int j = 0; j < 2; j++)
maxi(ans, up[x][i][j]);
maxi(ans, down[x][i][0]);
}
// for (int i = 0; i <= k; i++)
// for (int j = 0; j < 2; j++)
// fprintf(stderr, "down[%d][%d][pre choose? %d] = %lld\n", x, i, j, down[x][i][j])/*,
// fprintf(stderr, "up[%d][%d][%d] = %lld\n", x, i, j, up[x][i][j])*/;
reverse(g[x].begin(), g[x].end());
}
int32_t main() {
cin.tie(0)->sync_with_stdio(0);
cin >> n >> k;
for (int i = 1; i <= n; i++)
cin >> a[i];
for (int i = 1; i < n; i++) {
int x, y;
cin >> x >> y;
g[x].emplace_back(y);
g[y].emplace_back(x);
}
for (int x = 1; x <= n; x++) {
for (int y: g[x])
s[x] += a[y];
}
dfs_init(1, 0);
memset(up, -63, sizeof up);
memset(down, -63, sizeof down);
dfs(1);
memset(up, -63, sizeof up);
memset(down, -63, sizeof down);
dfs(1);
cout << ans;
return 0;
}
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