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.

-----Constraints-----
 - 2 ≤ N ≤ 10^5
 - 1 ≤ M ≤ 10^5
 - p is a permutation of integers from 1 through N.
 - 1 ≤ x_j,y_j ≤ N
 - x_j ≠ y_j
 - If i ≠ j, \{x_i,y_i\} ≠ \{x_j,y_j\}.
 - All values in input are integers.

-----Input-----
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

-----Output-----
Print the maximum possible number of i such that p_i = i after operations.

-----Sample Input-----
5 2
5 3 1 4 2
1 3
5 4

-----Sample Output-----
2

If we perform the operation by choosing j=1, p becomes 1 3 5 4 2, which is optimal, so the answer is 2.

```python

USER_FILENAME = "<user_code>"
import sys, json, builtins
import math, heapq, bisect, itertools, functools, collections, statistics, fractions, decimal, operator, array, random, re, string, os, pathlib
try:
    import resource as _res
except Exception:
    _res = None
from collections import Counter, defaultdict, deque, OrderedDict
from functools import lru_cache, reduce
from itertools import accumulate, permutations, combinations, product
from math import gcd, ceil, floor, sqrt
from decimal import Decimal
try:
    from typing import *
except Exception:
    pass
try:
    sys.setrecursionlimit(1_000_000)
except Exception:
    pass
try:
    import site as _site
    try:
        _sys_sites = _site.getsitepackages() if hasattr(_site, "getsitepackages") else []
        for _p in _sys_sites:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
    try:
        _usp = _site.getusersitepackages()
        if isinstance(_usp, str):
            _usp = [_usp]
        for _p in _usp:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
except Exception:
    pass

ns = {"__name__": "__main__"}
for _k, _v in list(globals().items()):
    if not _k.startswith("_"):
        ns[_k] = _v
_CODE = "class UnionFind():\n  def __init__(self, n):\n    self.n = n\n    self.parents = [-1] * n\n\n  def find(self, x):\n    if self.parents[x] < 0:\n      return x\n    else:\n      self.parents[x] = self.find(self.parents[x])\n    return self.parents[x]\n\n  def union(self, x, y):\n    x = self.find(x)\n    y = self.find(y)\n\n    if x == y:\n      return\n\n    if self.parents[x] > self.parents[y]:\n      x, y = y, x\n\n    self.parents[x] += self.parents[y]\n    self.parents[y] = x\n\n  def same(self, x, y):\n    return self.find(x) == self.find(y)\n\n  def roots(self):\n    return [i for i, x in enumerate(self.parents) if x < 0]\n\n  def num_roots(self):\n    return len([i for i, x in enumerate(self.parents) if x < 0])\n\n  def members(self, x):\n    root = self.find(x)\n    return [i for i in range(self.n) if self.find(i) == root]\n\n  def num_members(self,x):\n    return abs(self.parents[self.find(x)])\n\n  def __str__(self):\n    return '\\n'.join('{}: {}'.format(r, self.members(r)) for r in self.roots())\n\nN, M = list(map(int, input().split()))\nP = list(map(int, input().split()))\nuf = UnionFind(N)\nfor _ in range(M):\n  x,y = list(map(int, input().split()))\n  uf.union(x-1,y-1)\nfrom collections import defaultdict\nd = defaultdict(lambda: [])\nfor i in range(N):\n  d[uf.find(i)].append(i)\nfrom bisect import bisect_left\ndef binary_search(A,p):\n  if A[0]<=p and p<=A[-1]:\n    if p == A[bisect_left(A,p)]:\n      return True\n  return False\nans = 0\nfor v in list(d.values()):\n  lis = sorted(v)\n  for a in v:\n    if binary_search(lis,P[a]-1):\n      ans += 1\nprint(ans)\n\n\n\n"
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 17689