memo = {}

def top(train, etoigne):
  forward = []
  while train[etoigne] != -2:
    forward.append(etoigne)
    etoigne = train[etoigne]
    if etoigne in memo:
      ans = memo[etoigne]
      for e in forward:
        memo[e] = ans
      return ans
  ans = etoigne
  for e in forward:
    memo[e] = ans
  return ans

def solve(N, Q, P, AB):
  ans = []
  for ai, bi in AB:
    if ai not in memo: memo[ai] = top(P, ai)
    if bi not in memo: memo[bi] = top(P, bi)
    ans.append(memo[ai] == memo[bi])
  return ans

N, Q = [int(x) for x in input().split()]
P = [int(x) - 1 for x in input().split()]
AB = [[int(x) - 1 for x in input().split()] for _ in range(Q)]

[print("Yes" if x else "No") for x in solve(N, Q, P, AB)]