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| #include <iostream> #include <cstdio> #include <cmath> #include <queue> #include <cfloat> #define inf DBL_MAX using namespace std; const double eps = 1e-5; const int N = 110, M = 1e4 + 10; bool path[N][N]; int d[N], cur[N]; int n, m, st, ed, A[N], B[M]; int idx = -1, hd[N], nxt[M], edg[M]; double tot, wt[M]; bool bfs () { for (int i = st; i <= ed; i++) d[i] = -1; d[st] = 0; cur[st] = hd[st]; queue <int> q; q.push(st); while (!q.empty()) { int t = q.front(); q.pop(); for (int i = hd[t]; ~i; i = nxt[i]) if (d[edg[i]] == -1 && wt[i]) { cur[edg[i]] = hd[edg[i]]; d[edg[i]] = d[t] + 1; if (edg[i] == ed) return true; q.push(edg[i]); } } return false; } double exploit (int x, double limit) { if (x == ed) return limit; double res = 0; for (int i = cur[x]; ~i && res < limit; i = nxt[i]) { cur[x] = i; if (d[edg[i]] == d[x] + 1 && wt[i]) { double t = exploit(edg[i], min(wt[i], limit - res)); if (abs(t) < eps) d[edg[i]] = -1; wt[i] -= t; wt[i ^ 1] += t; res += t; } } return res; } double dinic () { double res = 0, flow; while (bfs()) while (flow = exploit(st, inf)) res += flow; return res; } void add (int a, int b, double c) { nxt[++idx] = hd[a]; hd[a] = idx; edg[idx] = b; wt[idx] = c; } bool check (double x) { idx = -1; for (int i = st; i <= ed; i++) hd[i] = -1; for (int i = 1; i <= n; i++) { add(st, i, A[i]); add(i, st, 0); } for (int i = 1; i <= m; i++) for (int j = 1; j <= n; j++) if (path[i][j]) { add(j, i + n, inf); add(i + n, j, 0); } for (int i = 1; i <= m; i++) { add(i + n, ed, x * B[i]); add(ed, i + n, 0); } return abs(dinic() - tot) < eps; } int main () { cin >> n >> m; st = 0; ed = n + m + 1; for (int i = 1; i <= n; i++) { cin >> A[i]; tot += A[i]; } for (int i = 1; i <= m; i++) cin >> B[i]; for (int i = 1; i <= m; i++) for (int j = 1; j <= n; j++) cin >> path[i][j]; double l = 0, r = 1e6, mid; while (r - l > eps) { mid = (l + r) / 2; if (check(mid)) r = mid; else l = mid; } cout << l; return 0; }
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