Buggy python submission (verdict: Time Limit Exceeded):
from numba import jit

n , m = map(int, input().split())
p = list(map(int,input().split()))


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

    def find(self, x):
        if self.parents[x] < 0:
            return x
        else:
            self.parents[x] = self.find(self.parents[x])
            return self.parents[x]

    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)

        if x == y:
            return

        if self.parents[x] > self.parents[y]:
            x, y = y, x

        self.parents[x] += self.parents[y]
        self.parents[y] = x
    @jit
    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.parents) if x < 0]

uf = UnionFind(n)

for i in range(m):
    x , y = map(int, input().split())
    x-=1
    y-=1
    uf.union(x,y)
ans = 0

ro=uf.roots()

for i in ro:
    mem = uf.members(i)
    for j in mem:
        if p[j]-1 in mem:
            ans+=1
print(ans)



Fixed submission:
n , m = map(int, input().split())
p = list(map(int,input().split()))

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

    def find(self, x):
        if self.parents[x] < 0:
            return x
        else:
            self.parents[x] = self.find(self.parents[x])
            return self.parents[x]

    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)

        if x == y:
            return

        if self.parents[x] > self.parents[y]:
            x, y = y, x

        self.parents[x] += self.parents[y]
        self.parents[y] = x

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


uf = UnionFind(n)

for i in range(m):
    x , y = map(int, input().split())
    x-=1
    y-=1
    uf.union(x,y)
ans = 0
for i in range(n):
    if uf.same(i,p[i]-1):
        ans+=1
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
n , m = map(int, input().split())
p = list(map(int,input().split()))

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

    def find(self, x):
        if self.parents[x] < 0:
            return x
        else:
            self.parents[x] = self.find(self.parents[x])
            return self.parents[x]

    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)

        if x == y:
            return

        if self.parents[x] > self.parents[y]:
            x, y = y, x

        self.parents[x] += self.parents[y]
        self.parents[y] = x

    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.parents) if x < 0]

uf = UnionFind(n)

for i in range(m):
    x , y = map(int, input().split())
    x-=1
    y-=1
    uf.union(x,y)
ans = 0

ro=uf.roots()

for i in ro:
    mem = uf.members(i)
    for j in mem:
        if p[j]-1 in mem:
            ans+=1
print(ans)


Fixed submission:
n , m = map(int, input().split())
p = list(map(int,input().split()))

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

    def find(self, x):
        if self.parents[x] < 0:
            return x
        else:
            self.parents[x] = self.find(self.parents[x])
            return self.parents[x]

    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)

        if x == y:
            return

        if self.parents[x] > self.parents[y]:
            x, y = y, x

        self.parents[x] += self.parents[y]
        self.parents[y] = x

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


uf = UnionFind(n)

for i in range(m):
    x , y = map(int, input().split())
    x-=1
    y-=1
    uf.union(x,y)
ans = 0
for i in range(n):
    if uf.same(i,p[i]-1):
        ans+=1
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
n , m = map(int, input().split())
p = list(map(int,input().split()))

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

    def find(self, x):
        if self.parents[x] < 0:
            return x
        else:
            self.parents[x] = self.find(self.parents[x])
            return self.parents[x]

    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)

        if x == y:
            return

        if self.parents[x] > self.parents[y]:
            x, y = y, x

        self.parents[x] += self.parents[y]
        self.parents[y] = x

    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.parents) if x < 0]

uf = UnionFind(n)

for i in range(m):
    x , y = map(int, input().split())
    x-=1
    y-=1
    uf.union(x,y)
ans = 0

ro=uf.roots()

for i in ro:
    mem = uf.members(i)
    for j in mem:
        if p[j]-1 in mem:
            ans+=1
print(ans)


Fixed submission:
n , m = map(int, input().split())
p = list(map(int,input().split()))

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

    def find(self, x):
        if self.parents[x] < 0:
            return x
        else:
            self.parents[x] = self.find(self.parents[x])
            return self.parents[x]

    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)

        if x == y:
            return

        if self.parents[x] > self.parents[y]:
            x, y = y, x

        self.parents[x] += self.parents[y]
        self.parents[y] = x

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


uf = UnionFind(n)

for i in range(m):
    x , y = map(int, input().split())
    x-=1
    y-=1
    uf.union(x,y)
ans = 0
for i in range(n):
    if uf.same(i,p[i]-1):
        ans+=1
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
n , m = map(int, input().split())
p = list(map(int,input().split()))

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

    def find(self, x):
        if self.parents[x] < 0:
            return x
        else:
            self.parents[x] = self.find(self.parents[x])
            return self.parents[x]

    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)

        if x == y:
            return

        if self.parents[x] > self.parents[y]:
            x, y = y, x

        self.parents[x] += self.parents[y]
        self.parents[y] = x

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


uf = UnionFind(n)

for i in range(m):
    x , y = map(int, input().split())
    x-=1
    y-=1
    uf.union(x,y)
ans = 0
for i in range(n):
    if i in uf.members(p[i]-1):
        ans+=1
print(ans)


Fixed submission:
n , m = map(int, input().split())
p = list(map(int,input().split()))

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

    def find(self, x):
        if self.parents[x] < 0:
            return x
        else:
            self.parents[x] = self.find(self.parents[x])
            return self.parents[x]

    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)

        if x == y:
            return

        if self.parents[x] > self.parents[y]:
            x, y = y, x

        self.parents[x] += self.parents[y]
        self.parents[y] = x

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


uf = UnionFind(n)

for i in range(m):
    x , y = map(int, input().split())
    x-=1
    y-=1
    uf.union(x,y)
ans = 0
for i in range(n):
    if uf.same(i,p[i]-1):
        ans+=1
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
n , m = map(int, input().split())
p = list(map(int,input().split()))

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

    def find(self, x):
        if self.parents[x] < 0:
            return x
        else:
            self.parents[x] = self.find(self.parents[x])
            return self.parents[x]

    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)

        if x == y:
            return

        if self.parents[x] > self.parents[y]:
            x, y = y, x

        self.parents[x] += self.parents[y]
        self.parents[y] = x

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


uf = UnionFind(n)

for i in range(m):
    x , y = map(int, input().split())
    x-=1
    y-=1
    uf.union(x,y)
ans = 0
for i in range(n):
    if i in uf.members(p[i]-1):
        ans+=1
print(ans)


Fixed submission:
n , m = map(int, input().split())
p = list(map(int,input().split()))

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

    def find(self, x):
        if self.parents[x] < 0:
            return x
        else:
            self.parents[x] = self.find(self.parents[x])
            return self.parents[x]

    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)

        if x == y:
            return

        if self.parents[x] > self.parents[y]:
            x, y = y, x

        self.parents[x] += self.parents[y]
        self.parents[y] = x

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


uf = UnionFind(n)

for i in range(m):
    x , y = map(int, input().split())
    x-=1
    y-=1
    uf.union(x,y)
ans = 0
for i in range(n):
    if uf.same(i,p[i]-1):
        ans+=1
print(ans)