import sys input = sys.stdin.readline class SCC: def __init__(self, n): self.n = n self.route = [[] for _ in [0] * n] self.rev_route = [[] for _ in [0] * n] self.label = [-1] * n self.count = 0 def add_edge(self, v_first, v_second): self.route[v_first].append(v_second) self.rev_route[v_second].append(v_first) def _build(self): self.v_list = [] self.visited = set([]) for v in range(self.n): if(v in self.visited): continue self._dfs(v) for v in reversed(self.v_list): if(self.label[v] != -1): continue self._rev_dfs(v) self.count += 1 def _dfs(self, v_start): stack = [v_start, 0] while(stack): v, id = stack[-2:] if(id == 0 and v in self.visited): stack.pop() stack.pop() continue self.visited.add(v) if(id < len(self.route[v])): stack[-1] += 1 stack.extend([self.route[v][id], 0]) continue stack.pop() self.v_list.append(stack.pop()) def _rev_dfs(self, v_start): stack = [v_start] self.label[v_start] = self.count while(stack): v_now = stack.pop() for v_next in self.rev_route[v_now]: if(self.label[v_next] != -1): continue self.label[v_next] = self.count stack.append(v_next) def construct(self): self._build() dag = [[] for _ in [0] * self.count] groups = [[] for _ in [0] * self.count] for v, lb in enumerate(self.label): for v_next in self.route[v]: lb_next = self.label[v_next] if(lb == lb_next): continue dag[lb].append(lb_next) groups[lb].append(v) return dag, groups """ Main Code """ N = int(input()) A = list(map(int, input().split())) B = list(map(int, input().split())) C = [x - 1 for x in map(int, input().split())] scc = SCC(N) for i, x in enumerate(C): if(i == x): continue scc.add_edge(x, i) dag, groups = scc.construct() n = len(groups) a = [0] * n b = [0] * n for i, group in enumerate(groups): a[i] = sum(A[x] for x in group) b[i] = sum(B[x] for x in group) rtree = [-1] * n for x, ys in enumerate(dag): for y in ys: rtree[y] = x def check(mid): dp = [x - mid * y for x, y in zip(a, b)] for x in range(n - 1, -1, -1): y = rtree[x] if(y == -1 and dp[x] < 0): return False dp[y] += min(dp[x], 0) return True ok = 0 ng = sum(a) // sum(b) + 1 while(abs(ok - ng) > 1): mid = (ok + ng) >> 1 if check(mid): ok = mid else: ng = mid print(ok)