#yuki-1365
from collections import defaultdict

class UnionFind():
    def __init__(self, n):
        self.n = n
        self.roots = [-1]*n

    def find(self, x):  #根を見つける
        if self.roots[x] < 0:
            return x
        else:
            self.roots[x] = self.find(self.roots[x])  #つなぎ直す
            return self.roots[x]

    def union(self, x, y):  #x,yが入っている部分集合を合体させる
        x = self.find(x)
        y = self.find(y)
        if x == y:
            return
        if self.roots[x] > self.roots[y]:
            x, y = y, x
        self.roots[x] += self.roots[y]
        self.roots[y] = x

    def size(self, x):  #ある元が入っている部分集合の大きさを求める
        return -self.roots[self.find(x)]

    def same(self, x, y):
        return self.find(x) == self.find(y)

    def members(self, x):
        root = self.find(x)
        return [i for i in range(self.n) if self.find(i) == root]

    def roots(self):
        return [i for i, x in enumerate(self.roots) if x < 0]

    def group_count(self):
        return len(self.roots())

    def all_group_members(self):  #defaultdictの形で各部分集合を返す
        group_members = defaultdict(list)
        for member in range(self.n):
            group_members[self.find(member)].append(member)
        return group_members

    def __str__(self):
        return '\n'.join(f'{r}: {m}' for r, m in self.all_group_members().items())

def cost(v):
    d, g = 0, 0
    for i in v:
        d += A[i]-B[i]
        if P[i] != 0:
            g += 1/P[i]
        else:
            return 0, float('inf'), 0
    return d, g, d**2/g
    
N = int(input())
u = UnionFind(N)
A = list(map(int, input().split()))  #初期エネルギー
B = list(map(int, input().split()))  #目標エネルギー
P = list(map(int, input().split()))  #重みづけ
Q = int(input())
ans = sum(P[i]*(A[i]-B[i])**2 for i in range(N))
for _ in range(Q):
    X, Y = map(int, input().split())
    if u.same(X-1, Y-1):
        pass
    else:
        vX, vY = u.members(X-1), u.members(Y-1)
        dX, gX, cX = cost(vX)
        dY, gY, cY = cost(vY)
        if gX == float('inf') or gY == float('inf'):
            ans -= cX+cY
        else:
            d = dX+dY
            g = gX+gY
            c = d**2/g
            ans += c-cX-cY
        u.union(X-1, Y-1)
    print(ans)