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())
uf = UnionFind(n)

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

for i in range(n):
    ans[i]+=len(uf.members(i))-1
print(*ans)

Fixed submission:
class UnionFind:
    def __init__(self, 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 is_same_root(self, x, y):
        return self.find(x) == self.find(y)
 
    def get_group_size(self, x):
        return -self.parents[self.find(x)]
    
    
n,m,k=map(int,input().split())
uf = UnionFind(n)

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

for i in range(n):
    ans[i]+=uf.get_group_size(i)-1
print(*ans)

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())
uf = UnionFind(n)

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

for i in range(n):
    ans[i]+=len(uf.members(i))-1
print(*ans)

Fixed submission:
class UnionFind:
    def __init__(self, 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 is_same_root(self, x, y):
        return self.find(x) == self.find(y)
 
    def get_group_size(self, x):
        return -self.parents[self.find(x)]
    
    
n,m,k=map(int,input().split())
uf = UnionFind(n)

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

for i in range(n):
    ans[i]+=uf.get_group_size(i)-1
print(*ans)