import sys

sys.setrecursionlimit(200005)
# sys.set_int_max_str_digits(200005)
int1 = lambda x: int(x)-1
pDB = lambda *x: print(*x, end="\n", file=sys.stderr)
p2D = lambda x: print(*x, sep="\n", end="\n\n", file=sys.stderr)
def II(): return int(sys.stdin.readline())
def LI(): return list(map(int, sys.stdin.readline().split()))
def LLI(rows_number): return [LI() for _ in range(rows_number)]
def LI1(): return list(map(int1, sys.stdin.readline().split()))
def LLI1(rows_number): return [LI1() for _ in range(rows_number)]
def SI(): return sys.stdin.readline().rstrip()

dij = [(0, 1), (-1, 0), (0, -1), (1, 0)]
# dij = [(0, 1), (-1, 0), (0, -1), (1, 0), (1, 1), (1, -1), (-1, 1), (-1, -1)]
# inf = -1-(-1 << 31)
inf = -1-(-1 << 62)

# md = 10**9+7
md = 998244353

class Bit:
    def __init__(self, op, e, n):
        self.op = op
        self.e = e
        self.n = n+1
        self.table = [e() for _ in range(self.n)]

    def update(self, i, x):
        i += 1
        while i < self.n:
            self.table[i] = self.op(self.table[i], x)
            i += i & -i

    # [0,i]
    def prod(self, i):
        i += 1
        res = self.e()
        while i > 0:
            res = self.op(res,self.table[i])
            i -= i & -i
        return res

x2y=[[] for _ in range(1000)]
s2t=[[] for _ in range(1000)]
n=II()
for _ in range(n):
    x,y=LI()
    x2y[x].append(y)
m=II()
for _ in range(m):
    s,t=LI()
    s2t[s].append(t)

xybit1=Bit(min,lambda:inf,1005)
xybit2=Bit(min,lambda:inf,1005)
stbit1=Bit(min,lambda:inf,1005)
stbit2=Bit(min,lambda:inf,1005)

ans=inf
for x in range(1000):
    for y in x2y[x]:
        xybit1.update(1000-y,-x+y)
        xybit2.update(y,-x-y)
    for y in s2t[x]:
        stbit1.update(1000-y,-x+y)
        stbit2.update(y,-x-y)
    for y in x2y[x]:
        ans=min(ans,x-y+stbit1.prod(1000-y),x+y+stbit2.prod(y))
    for y in s2t[x]:
        ans=min(ans,x-y+xybit1.prod(1000-y),x+y+xybit2.prod(y))

print(ans)