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#include <climits> #include <queue> #include <algorithm> const int MAXN = 505; struct ; struct Node { Edge *e, *curr; int level; } N[MAXN * MAXN]; struct { Node *u, *v; Edge *next, *rev; int cap, flow; Edge(Node *u, Node *v, int cap) : u(u), v(v), cap(cap), flow(0), next(u->e) {} }; void addEdge(int u, int v, int cap) { N[u].e = new Edge(&N[u], &N[v], cap); N[v].e = new Edge(&N[v], &N[u], 0); N[u].e->rev = N[v].e; N[v].e->rev = N[u].e; } namespace Dinic { bool makeLevelGraph(Node *s, Node *t, int n) { for (int i = 0; i < n; i++) N[i].level = 0; std::queue<Node *> q; q.push(s); s->level = 1; while (!q.empty()) { Node *u = q.front(); q.pop(); for (Edge *e = u->e; e; e = e->next) { if (e->cap > e->flow && e->v->level == 0) { e->v->level = u->level + 1; if (e->v == t) return true; q.push(e->v); } } } return false; } int findPath(Node *s, Node *t, int limit = INT_MAX) { if (s == t) return limit; for (Edge *&e = s->curr; e; e = e->next) { if (e->cap > e->flow && e->v->level == s->level + 1) { int flow = findPath(e->v, t, std::min(limit, e->cap - e->flow)); if (flow > 0) { e->flow += flow; e->rev->flow -= flow; return flow; } } } return 0; } int solve(int s, int t, int n) { int res = 0; while (makeLevelGraph(&N[s], &N[t], n)) { for (int i = 0; i < n; i++) N[i].curr = N[i].e; int flow; while ((flow = findPath(&N[s], &N[t])) > 0) res += flow; } return res; } } int n; int getID(int x, int y) { return x * n + y; } int main() { scanf("%d", &n); const int s = 0, t = n + n * n + 1; int tot = 0; for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) { int x; scanf("%d", &x); addEdge(getID(i, j), i, INT_MAX); addEdge(getID(i, j), j, INT_MAX); addEdge(s, getID(i, j), x); tot += x; } for (int i = 1; i <= n; i++) { int x; scanf("%d", &x); addEdge(i, t, x); } printf("%dn", tot - Dinic::solve(s, t, t + 1)); return 0; }
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