output_description: Print the maximum possible number of i such that p_i = i after operations.
  
  * * *
input_description: Input is given from Standard Input in the following format:
  
      
      
      N M
      p_1 p_2 .. p_N
      x_1 y_1
      x_2 y_2
      :
      x_M y_M
attempt: def main():
      n, m = map(int, input().split())
      p = [0] + list(map(int, input().split()))
      cnt = 0
      global parent
      parent = list(range(n+1))
      for _ in range(m):
          x, y = map(int, input().split())
          unite(x, y)
      for i in range(1, n+1):
          if root(i) == root(p[i]):
          cnt += 1
      print(cnt)
  
  def root(x):
      if parent[x] == x:
          return x
      parent[x] = root(parent[x])
      return parent[x]
  
  def unite(x, y):
      root_x = root(x)
      if root_x != root(y):
          parent[root_x] = y
  
  if __name__ == "__main__":
      main()
problem_description: Statement
  
  We have a permutation of the integers from 1 through N, p_1, p_2, .., p_N. We
  also have M pairs of two integers between 1 and N (inclusive), represented as
  (x_1,y_1), (x_2,y_2), .., (x_M,y_M). AtCoDeer the deer is going to perform the
  following operation on p as many times as desired so that the number of i (1 ≤
  i ≤ N) such that p_i = i is maximized:
  
    * Choose j such that 1 ≤ j ≤ M, and swap p_{x_j} and p_{y_j}.
  
  Find the maximum possible number of i such that p_i = i after operations.
samples: [{"input": "5 2\n    5 3 1 4 2\n    1 3\n    5 4", "output": "2\n    \n\nIf we perform the operation by choosing j=1, p becomes `1 3 5 4 2`, which is\noptimal, so the answer is 2.\n\n* * *"}, {"input": "3 2\n    3 2 1\n    1 2\n    2 3", "output": "3\n    \n\nIf we perform the operation by, for example, choosing j=1, j=2, j=1 in this\norder, p becomes `1 2 3`, which is obviously optimal. Note that we may choose\nthe same j any number of times.\n\n* * *"}, {"input": "10 8\n    5 3 6 8 7 10 9 1 2 4\n    3 1\n    4 1\n    5 9\n    2 5\n    6 5\n    3 5\n    8 9\n    7 9", "output": "8\n    \n\n* * *"}, {"input": "5 1\n    1 2 3 4 5\n    1 5", "output": "5\n    \n\nWe do not have to perform the operation."}]