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4033. [HAOI2015]树上染色
https://hydro.ac/d/bzoj/record/6322ed5cbdf9bc31d160a143
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BZOJ/4033/4033.cpp
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BZOJ/4033/4033.cpp
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#include <iostream>
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#include <cstring>
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#include <vector>
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using std::cin;
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using std::cout;
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const char endl = '\n';
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const int N = 2005;
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int n, k, fa[N], siz[N];
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long long f[N][N];
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std::vector<std::pair<int, int>> g[N];
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void dfs(int u, int fa) {
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siz[u] = 1;
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f[u][0] = f[u][1] = 0;
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for (auto e : g[u]) {
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int v = e.first,
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w = e.second;
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if (v == fa) continue;
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dfs(v, u);
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siz[u] += siz[v];
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for (int i = std::min(k, siz[u]); ~i; i--) {
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if (~f[u][i]) {
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f[u][i] += f[v][0] + 1ll * siz[v] * (n - k - siz[v]) * w;
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}
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for (int j = std::min(i, siz[v]); j; j--) {
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if (~f[u][i - j]) {
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f[u][i] = std::max(f[u][i], f[u][i - j] + f[v][j] + 1ll * (j * (k - j) + (siz[v] - j) * (n - k - siz[v] + j)) * w);
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}
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}
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}
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}
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}
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int main() {
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std::ios::sync_with_stdio(false);
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cin.tie(nullptr);
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cin >> n >> k;
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k = std::max(k, n - k);
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for (int i = 1, u, v, w; i < n; i++) {
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cin >> u >> v >> w;
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g[u].push_back(std::make_pair(v, w));
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g[v].push_back(std::make_pair(u, w));
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}
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memset(f, 0xff, sizeof(f));
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dfs(1, 0);
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cout << f[1][k] << endl;
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return 0;
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}
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