import sys

N = int(input())
A = list(map(int,input().split()))
B = list(map(int,input().split()))

l = [(A[i],i) for i in range(N)] + [(B[i],i) for i in range(N)] + [(A[i] // 2 + B[i] // 2,i) for i in range(N)]
l.sort()

now = l[0][0]
ii = l[0][1]

ans = 10 ** 10
inf = 10 ** 11
t = 0
for i in range(N):
    a = A[i]
    b = B[i]
    c = (a + b) // 2
    k = inf
    for u in (a,b,c):
        if u >= now and u < k:
            k = u
    if k > t:
        t = k
ans = t - now
for n,jj in l[1:]:
    a = A[ii]
    b = B[ii]
    c = (a + b) // 2
    k = inf
    for u in (a,b,c):
        if u >= n and u < k:
            k = u
    """
    if k == inf:
        print(ans)
        exit()
    """
    if k > t:
        t = k
    if ii == jj:pass
    elif t - n < ans:
        ans = t - n
    now = n
    ii = jj
print(ans)