from copy import deepcopy
import heapq
N = int(input())
A = list(map(int, input().split()))
B = list(map(int, input().split()))
que = []
for i,(a,b) in enumerate(zip(A,B)):
    que.append((a, i))
    que.append((b, i))
    que.append(((a+b)//2, i))
que2 = deepcopy(que)
que2.sort()
heapq.heapify(que)
ans = 10**18
r = 0
rs = [0]*N
for d, idx in que2:
    # print(d,idx,que,ans,rs)
    while que and r != N:
        e, idy = heapq.heappop(que)
        rs[idy] += 1
        if rs[idy] == 1:
            r += 1
    if r == N:
        ans = min(ans, e-d)
    rs[idx] -= 1
    if rs[idx] == 0:
        r -= 1
print(ans)