洛谷 P3047 [USACO12FEB]Nearby Cows G

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#include <bits/stdc++.h>
using namespace std;
const int N = 1e5 + 1, M = 2 * N, K = 21;
int n, k, u, v;
int c[N], h[N], e[M], ne[M], idx;
int dp[N][K];
void add(int u, int v) {
e[++idx] = v, ne[idx] = h[u], h[u] = idx;
}
int main() {
scanf("%d%d", &n, &k);
for (int i = 1; i < n; ++i) {
scanf("%d%d", &u, &v);
add(u, v), add(v, u);
}
for (int i = 1; i <= n; ++i) scanf("%d", &c[i]);
function<void(int, int)> dfs = [&](int u, int f) {
dp[u][0] = c[u];
for (int i = h[u]; i; i = ne[i]) {
int v = e[i];
if (v != f) {
dfs(v, u);
for (int j = 1; j <= k; ++j)
dp[u][j] += dp[v][j - 1];
}
}
};
dfs(1, 0);
function<void(int, int)> reroot = [&](int u, int f) {
for (int i = h[u]; i; i = ne[i]) {
int v = e[i];
if (v != f) {
for (int j = k; j >= 2; --j)
dp[v][j] -= dp[v][j - 2]; // 容斥定理
for (int j = 1; j <= k; ++j)
dp[v][j] += dp[u][j - 1];
reroot(v, u);
}
}
};
reroot(1, 0);
for (int i = 1; i <= n; ++i)
printf("%d\n", accumulate(dp[i], dp[i] + k + 1, 0));
return 0;
}