import sys
input = sys.stdin.readline
mod = 998244353

N = int(input())
A = list(map(int, input().split()))
B = list(map(int, input().split()))
AB = [(a + b) // 2 for a, b in zip(A, B)]

V = set()
for a in A:
    V.add(a)
for b in B:
    V.add(b)
for ab in AB:
    V.add(ab)
V = sorted(list(V))
ans = 10 ** 17
mi = min(min(A), min(B))
ma = max(max(A), max(B))
X = [(a, b, ab) for a, b, ab in zip(A, B, AB)]
for v in V:
    ok = 10 ** 9 + 1
    ng = -1
    mid = (ok + ng) // 2
    while ok - ng > 1:
        flg = 1
        for i in range(N):
            tmp = 0
            for x in X[i]:
                if v <= x <= v + mid:
                    tmp = 1
            if not tmp:
                flg = 0
                break
        if flg:
            ok = mid
        else:
            ng = mid
        mid = (ok + ng) // 2
    ans = min(ans, ok)
print(ans)