import io
import sys
from collections import defaultdict, deque, Counter
from itertools import permutations, combinations, accumulate
from heapq import heappush, heappop
from bisect import bisect_right, bisect_left
from math import gcd
import math

_INPUT = """\
6
4 4
1 2
2 3
3 4
4 1
1 1 2 3
1 2 3 4 5 6 7 8 9 10
3
1 2
1 3
1 4
2 0
1 1
1 100 100 100 100 100 100 100 100 100
1
1 2
5 5
1 2
2 3
2 3
3 4
4 5
1 4 5 9 10
1000000000 1 1 1000000000 1000000000 1 1 1 1000000000 1000000000
4
1 5
2 3
1 2
1 5
"""

def solve(test):
  N,M=map(int, input().split())
  G=[[] for _ in range(N)]
  for _ in range(M):
    a,b=map(lambda x:int(x)-1, input().split())
    G[a].append(b)
    G[b].append(a)
  C=list(map(lambda x:int(x)-1, input().split()))
  W=list(map(int,input().split()))
  tmp=[[-1]*N for _ in range(1<<10)]
  cost=[sum(W[i] for i in range(10) if (_>>i)&1) for _ in range(1<<10)]
  for i in range(1<<10):
    c=[1 if (i>>j)&1 else 0 for j in range(10)]
    used=[0]*N
    parent=[-1]*N
    now=0
    for j in range(N):
      if used[j]==1: continue
      st=[j]
      while st:
        v=st.pop()
        tmp[i][v]=now
        if used[v]==1: continue
        used[v]=1
        if c[C[v]]==0: continue
        for u in G[v]:
          if u==parent[v] or c[C[u]]==0: continue
          parent[u]=v
          st.append(u)
      now+=1
  Q=int(input())
  for _ in range(Q):
    u,v=map(lambda x:int(x)-1, input().split())
    ans=1<<34
    for i in range(1<<10):
      if tmp[i][u]!=-1 and tmp[i][u]==tmp[i][v]:
        ans=min(ans,cost[i])
    if ans==1<<34: ans=-1
    print(ans)

def random_input():
  from random import randint,shuffle
  N=randint(1,10)
  M=randint(1,N)
  A=list(range(1,M+1))+[randint(1,M) for _ in range(N-M)]
  shuffle(A)
  return (" ".join(map(str, [N,M]))+"\n"+" ".join(map(str, A))+"\n")*3

def simple_solve():
  return []

def main(test):
  if test==0:
    solve(0)
  elif test==1:
    sys.stdin = io.StringIO(_INPUT)
    case_no=int(input())
    for _ in range(case_no):
      solve(0)
  else:
    for i in range(1000):
      sys.stdin = io.StringIO(random_input())
      x=solve(1)
      y=simple_solve()
      if x!=y:
        print(i,x,y)
        print(*[line for line in sys.stdin],sep='')
        break

#0:提出用、1:与えられたテスト用、2:ストレステスト用
main(0)