Buggy python submission (verdict: Time Limit Exceeded):
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 size(self, x):
        return -self.parents[self.find(x)]

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

    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]

    def group_count(self):
        return len(self.roots())

    def all_group_members(self):
        return {r: self.members(r) for r in self.roots()}

    def __str__(self):
        return '\n'.join('{}: {}'.format(r, self.members(r)) for r in self.roots())

N,M,K=map(int,input().split())
tree=UnionFind(N)
not_friend_candidates=[]

for i in range(M):
  A,B=list(map(int,input().split()))
  A-=1
  B-=1
  tree.union(A,B)
  not_friend_candidates.append([A,B])

for j in range(K):
  C,D=list(map(int,input().split()))
  C-=1
  D-=1
  not_friend_candidates.append([C,D])

all_group_members=tree.all_group_members()

ans=[0]*N
for i,j in not_friend_candidates:
  if tree.same(i,j):
    ans[i]-=1
    ans[j]-=1
for i in range(N):
  ans[i]+=len(all_group_members[tree.find(i)])-1
print(*ans)

Fixed submission:
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 size(self, x):
        return -self.parents[self.find(x)]

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

    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]

    def group_count(self):
        return len(self.roots())

    def all_group_members(self):
        return {r: self.members(r) for r in self.roots()}

    def __str__(self):
        return '\n'.join('{}: {}'.format(r, self.members(r)) for r in self.roots())

N,M,K=map(int,input().split())
tree=UnionFind(N)
not_friend_candidates=[]

for i in range(M):
  A,B=list(map(int,input().split()))
  A-=1
  B-=1
  tree.union(A,B)
  not_friend_candidates.append([A,B])

for j in range(K):
  C,D=list(map(int,input().split()))
  C-=1
  D-=1
  not_friend_candidates.append([C,D])


ans=[0]*N
for i,j in not_friend_candidates:
  if tree.same(i,j):
    ans[i]-=1
    ans[j]-=1
for i in range(N):
  ans[i]+=tree.size(i)-1
print(*ans)