import sys
input = sys.stdin.readline

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

events = []
for i in range(N):
    events.append((A[i], i))
    events.append((B[i], i))
    events.append(((A[i]+B[i])//2, i))
events.sort(key=lambda p: p[0])

cnt = [0] * N
st = set()
j = 0
ans = 10**18
for i in range(len(events)):
    l = events[i][0]
    while j < len(events) and len(st) < N:
        r, k = events[j]
        if cnt[k] == 0:
            st.add(k)
        cnt[k] += 1
        j += 1
    if len(st) == N:
        r = events[j-1][0]
        ans = min(ans, r - l)
    _, k = events[i]
    cnt[k] -= 1
    if cnt[k] == 0:
        st.remove(k)
print(ans)