N = int(input())
XY = [list(map(int, input().split())) for _ in range(N)]
M = int(input())
ZW = [list(map(int, input().split())) for _ in range(M)]

for i in range(N):
    X, Y = XY[i]
    XY[i] = [X+Y+10**3-1, X-Y+10**3-1]
for i in range(M):
    Z, W = ZW[i]
    ZW[i] = [Z+W+10**3-1, Z-W+10**3-1]

cumS = [[0]*(10**3*3+1) for _ in range(10**3*3+1)]
cumT = [[0]*(10**3*3+1) for _ in range(10**3*3+1)]
for X, Y in XY:
    cumS[X+1][Y+1] = 1
for Z, W in ZW:
    cumT[Z+1][W+1] = 1
for i in range(1, 10**3*3+1):
    for j in range(2, 10**3*3+1):
        cumS[i][j] += cumS[i][j-1]
        cumT[i][j] += cumT[i][j-1]
for i in range(2, 10**3*3+1):
    for j in range(1, 10**3*3+1):
        cumS[i][j] += cumS[i-1][j]
        cumT[i][j] += cumT[i-1][j]

def sumS(i, j, n):
    return cumS[i+n][j+n]+cumS[i][j]-cumS[i+n][j]-cumS[i][j+n]
def sumT(i, j, n):
    return cumT[i+n][j+n]+cumT[i][j]-cumT[i+n][j]-cumT[i][j+n]

def func(x, y, n):
    return cumT[min(x+n+1, 10**3*3)][min(y+n+1, 10**3*3)]+cumT[max(x-n, 0)][max(y-n, 0)]-cumT[min(x+n+1, 10**3*3)][max(y-n, 0)]-cumT[max(x-n, 0)][min(y+n+1, 10**3*3)]

ans = 10**18
for i in range(N):
    X, Y = XY[i]
    left = -1
    right = 10**3
    while left+1 < right:
        mid = (left+right)//2
        if func(X, Y, mid) == 0:
            left = mid
        else:
            right = mid
    ans = min(ans, right)

print(ans)