<div class="post_brief"><p>
我以为是最大权闭合子图来着。然后好像就直接最小割就行了吧。突然觉得我的网络流好弱。</p>
建源汇,分别连每个作物。对于每个组合建两个点分别边源汇,然后中间像源汇一样连它的成员。如果全在一边,那么会有一条边不用割。这也是一个集合都选对答案有贡献的建图方式。
然后就完了。建图和dinic都写得有些丑,所以调了半天。
#include <cstdio> #include <cstring> #include <algorithm>using namespace std;
struct edge { int t, c; edge *next, *rv; };
const int maxn = 3009; const int inf = 0x3f3f3f3f;
int n, m, c, d[maxn], t, st, te; edge *head[maxn];
inline edge* newEdge(int u, int v, int c) { edge* e(new edge); e-> t = v; e-> c = c; e-> next = head[u]; return head[u] = e; } inline void addEdge(int u, int v, int c) { edge *a(newEdge(u, v, c)), *b(newEdge(v, u, 0)); a-> rv = b; b-> rv = a; }
bool bfsBuild() { static int q[maxn]; int hd(0), tl(1); memset(d, 0, sizeof(d)); d[q[0] = st] = 1; while (hd < tl && !d[te]) { int p(q[hd ++]); for (edge* e = head[p]; e; e = e-> next) if (e-> c && !d[e-> t]) { d[e-> t] = d[p] + 1; q[tl ++] = e-> t; } } return d[te]; } int dfsFind(int p, int c) { if (p == te) return c; int s(0); edge *e; for (e = head[p]; e && c; e = e-> next) if (e-> c && d[e-> t] == d[p] + 1) { int x(dfsFind(e-> t, min(c, e-> c))); s += x; c -= x; e-> c -= x; e-> rv-> c += x; } if (!e) d[p] = 0; return s; }
int main() { #ifndef ONLINE_JUDGE freopen(“in.txt”, “r”, stdin); #endif
c = 0; scanf("%d", &n); st = n; te = n + 1; c = n + 2; t = 0; memset(head, 0, sizeof(head)); for (int i = 0; i < n; ++ i) { int a; scanf("%d", &a); t += a; addEdge(st, i, a); } for (int i = 0; i < n; ++ i) { int a; scanf("%d", &a); t += a; addEdge(i, te, a); } scanf("%d", &m); for (int i = 0; i < m; ++ i) { int k, c1, c2, u, v; scanf("%d%d%d", &k, &c1, &c2); t += c1 + c2; u = c ++; v = c ++; addEdge(st, u, c1); addEdge(v, te, c2); for (int i = 0; i < k; ++ i) { int x; scanf("%d", &x); -- x; addEdge(u, x, inf); addEdge(x, v, inf); } } while (bfsBuild()) t -= dfsFind(st, inf); printf("%d\n", t);
}