def scc(N,edges): M=len(edges) start=[0]*(N+1) elist=[0]*M for e in edges: start[e[0]+1]+=1 for i in range(1,N+1): start[i]+=start[i-1] counter=start[:] for e in edges: elist[counter[e[0]]]=e[1] counter[e[0]]+=1 visited=[] low=[0]*N Ord=[-1]*N ids=[0]*N NG=[0,0] def dfs(v): stack=[(v,-1,0),(v,-1,1)] while stack: v,bef,t=stack.pop() if t: if bef!=-1 and Ord[v]!=-1: low[bef]=min(low[bef],Ord[v]) stack.pop() continue low[v]=NG[0] Ord[v]=NG[0] NG[0]+=1 visited.append(v) for i in range(start[v],start[v+1]): to=elist[i] if Ord[to]==-1: stack.append((to,v,0)) stack.append((to,v,1)) else: low[v]=min(low[v],Ord[to]) else: if low[v]==Ord[v]: while(True): u=visited.pop() Ord[u]=N ids[u]=NG[1] if u==v: break NG[1]+=1 low[bef]=min(low[bef],low[v]) for i in range(N): if Ord[i]==-1: dfs(i) for i in range(N): ids[i]=NG[1]-1-ids[i] group_num=NG[1] counts=[0]*group_num for x in ids: counts[x]+=1 groups=[[] for i in range(group_num)] for i in range(N): groups[ids[i]].append(i) return groups import sys, time, random from collections import deque, Counter, defaultdict input = lambda: sys.stdin.readline().rstrip() ii = lambda: int(input()) mi = lambda: map(int, input().split()) li = lambda: list(mi()) inf = 2 ** 63 - 1 mod = 998244353 sys.setrecursionlimit(10 ** 5 + 2) n = ii() a = li() b = li() c = li() E = [] for i in range(n): E.append((c[i] - 1, i)) groups = scc(n, E) leader = [0] * n cnt = 0 for v in groups: for x in v: leader[x] = cnt cnt += 1 A = [0] * cnt B = [0] * cnt for i in range(n): A[leader[i]] += a[i] B[leader[i]] += b[i] graph = [[] for _ in range(cnt)] invgraph = [[] for _ in range(cnt)] S = set() for u, v in E: if leader[v] != leader[u]: S.add((leader[u], leader[v])) for u, v in S: graph[u].append(v) def f(x): dp = [0] * cnt r = [0] * cnt c = [0] * cnt visit = [False] * cnt def dfs(now): if visit[now]: return dp[now] visit[now] = True for to in graph[now]: r[now] += dfs(to) c[to] += 1 dp[now] = min(0, A[now] - x * B[now] + r[now]) return dp[now] for now in range(cnt): dfs(now) if c[now] == 0: if dp[now] == 0: pass else: return False return True ok = 0 ng = 10 ** 14+1 while abs(ok - ng) > 1: mid = (ok + ng) // 2 if f(mid): ok = mid else: ng = mid print(ok)