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

elements = []
for i in range(n):
    a = A[i]
    b = B[i]
    mid = (a + b) // 2
    options = {a, b, mid}
    for val in options:
        elements.append((val, i))

elements.sort()

freq = [0] * n
current_min = float('inf')
count = 0
left = 0

for right in range(len(elements)):
    val_r, i_r = elements[right]
    if freq[i_r] == 0:
        count += 1
    freq[i_r] += 1
    
    while count == n:
        current_range = val_r - elements[left][0]
        if current_range < current_min:
            current_min = current_range
        val_l, i_l = elements[left]
        freq[i_l] -= 1
        if freq[i_l] == 0:
            count -= 1
        left += 1

print(current_min)