Buggy python submission (verdict: Time Limit Exceeded):
import sys
import math
import fractions
import bisect
from collections import deque
from collections import defaultdict
sys.setrecursionlimit(10**7)


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)
friends = [set() for _ in range(N)]
blocks = [set() for _ in range(N)]
for _ in range(M):
    A, B = map(int, input().split())
    A -= 1
    B -= 1
    uf.union(A, B)
    friends[A].add(B)
    friends[B].add(A)
for _ in range(K):
    C, D = map(int, input().split())
    C -= 1
    D -= 1
    blocks[C].add(D)
    blocks[D].add(C)


ans = []
for n in range(N):
    members = uf.members(n)
    diffs = set(members).difference(friends[n], blocks[n])
    ans.append(len(diffs)-1)

ans = map(str, ans)
print(" ".join(ans))


Fixed submission:
import sys
import math
import fractions
import bisect
from collections import deque
from collections import defaultdict
sys.setrecursionlimit(10**7)


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)
dame = [set() for _ in range(N)]
for _ in range(M):
    A, B = map(int, input().split())
    A -= 1
    B -= 1
    uf.union(A, B)
    dame[A].add(B)
    dame[B].add(A)
for _ in range(K):
    C, D = map(int, input().split())
    C -= 1
    D -= 1
    if uf.same(C, D):
        dame[C].add(D)
        dame[D].add(C)


ans = []
for n in range(N):
    ans.append(uf.size(n) - len(dame[n]) - 1)

ans = map(str, ans)
print(" ".join(ans))