Buggy python submission (verdict: Runtime Error):
from collections import deque
from copy import deepcopy

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+1)
direct_connect = [0]*(N+1)
for _ in range(M):
  a, b = map(int, input().split())
  UF.union(a, b)
  direct_connect[a] += 1
  direct_connect[b] += 1
for _ in range(K):
  a, b = map(int, input().split())
  if UF.same(a, b):
    direct_connect[a] += 1
    direct_connect[b] += 1
print(" ".join([UF.size(i)-direct_connect[i]-1 for _ in range(1, N+1)]))

Fixed submission:
from collections import deque
from copy import deepcopy

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+1)
direct_connect = [0]*(N+1)
for _ in range(M):
  a, b = map(int, input().split())
  UF.union(a, b)
  direct_connect[a] += 1
  direct_connect[b] += 1
for _ in range(K):
  a, b = map(int, input().split())
  if UF.same(a, b):
    direct_connect[a] += 1
    direct_connect[b] += 1
ans = ""
for i in range(1, N+1):
  ans += "%d "%(UF.size(i)-direct_connect[i]-1)
print(ans)

Buggy python submission (verdict: Runtime Error):
from collections import deque
from copy import deepcopy

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+1)
direct_connect = [0]*(N+1)
for _ in range(M):
  a, b = map(int, input().split())
  UF.union(a, b)
  direct_connect[a] += 1
  direct_connect[b] += 1
for _ in range(K):
  a, b = map(int, input().split())
  if UF.same(a, b):
    direct_connect[a] += 1
    direct_connect[b] += 1
print(" ".join([UF.size(i)-direct_connect[i]-1 for _ in range(1, N+1)])

Fixed submission:
from collections import deque
from copy import deepcopy

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+1)
direct_connect = [0]*(N+1)
for _ in range(M):
  a, b = map(int, input().split())
  UF.union(a, b)
  direct_connect[a] += 1
  direct_connect[b] += 1
for _ in range(K):
  a, b = map(int, input().split())
  if UF.same(a, b):
    direct_connect[a] += 1
    direct_connect[b] += 1
ans = ""
for i in range(1, N+1):
  ans += "%d "%(UF.size(i)-direct_connect[i]-1)
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from collections import deque
from copy import deepcopy
N, M, K = map(int, input().split())
SNS = [[0 for _ in range(N+1)] for __ in range(N+1)]
Follow = [deque() for __ in range(N+1)]
for _ in range(M):
  a, b = map(int, input().split())
  SNS[a][b] = 1
  SNS[b][a] = 1
  Follow[a].append(b)
  Follow[b].append(a)
for _ in range(K):
  a, b = map(int, input().split())
  SNS[a][b] = -1
  SNS[b][a] = -1

Chains = []
seen = [False]*(N+1)
i = 1
while i <= N:
  if not seen[i]:
    seen[i] = True
    chain = deque()
    q = deque(deepcopy(Follow[i]))
    memo = [False]*(N+1)
    while q:
      j = q.pop()
      if not memo[j]:
        memo[j] = True
        seen[j] = True
        chain.append(j)
        q += deepcopy(Follow[j])
    Chains.append(deepcopy(chain))
  i += 1
ans = [0] * (N+1)

for chain in Chains:
  l = len(chain)
  for hito in chain:
    n = 0
    for aite in chain:
      n += 0 if SNS[hito][aite] == 0 else 1
    ans[hito] = l - n -1
print(" ".join([str(a) for a in ans[1:]]))

Fixed submission:
from collections import deque
from copy import deepcopy

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+1)
direct_connect = [0]*(N+1)
for _ in range(M):
  a, b = map(int, input().split())
  UF.union(a, b)
  direct_connect[a] += 1
  direct_connect[b] += 1
for _ in range(K):
  a, b = map(int, input().split())
  if UF.same(a, b):
    direct_connect[a] += 1
    direct_connect[b] += 1
ans = ""
for i in range(1, N+1):
  ans += "%d "%(UF.size(i)-direct_connect[i]-1)
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from collections import deque
from copy import deepcopy

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+1)
direct_connect = [0]*(N+1)
for _ in range(M):
  a, b = map(int, input().split())
  UF.union(a, b)
  direct_connect[a] += 1
  direct_connect[b] += 1
for _ in range(K):
  a, b = map(int, input().split())
  if UF.same(a, b):
    direct_connect[a] += 1
    direct_connect[b] += 1
ans = ""
for i in range(1, N+1):
  ans += "%d "%(UF.size(i)-direct_connect[i]-1)
print(ans)

Fixed submission:
from collections import deque
from copy import deepcopy

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+1)
direct_connect = [0]*(N+1)
for _ in range(M):
  a, b = map(int, input().split())
  UF.union(a, b)
  direct_connect[a] += 1
  direct_connect[b] += 1
for _ in range(K):
  a, b = map(int, input().split())
  if UF.same(a, b):
    direct_connect[a] += 1
    direct_connect[b] += 1
ans = ""
for i in range(1, N+1):
  ans += "%d "%(UF.size(i)-direct_connect[i]-1)
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from collections import deque
from copy import deepcopy

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+1)
SNS = [[0 for _ in range(N+1)] for __ in range(N+1)]
for _ in range(M):
  a, b = map(int, input().split())
  SNS[a][b] = 1
  SNS[b][a] = 1
  UF.union(a, b)
for _ in range(K):
  a, b = map(int, input().split())
  SNS[a][b] = -1
  SNS[b][a] = -1
ans = ""
i = 1
while i <= N:
  chain = UF.members(i)
  n = 0
  for m in chain:
    n += 0 if SNS[i][m] == 0 else 1
  ans += "%d "%(len(chain)-n-1)
  i += 1
print(ans)

Fixed submission:
from collections import deque
from copy import deepcopy

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+1)
direct_connect = [0]*(N+1)
for _ in range(M):
  a, b = map(int, input().split())
  UF.union(a, b)
  direct_connect[a] += 1
  direct_connect[b] += 1
for _ in range(K):
  a, b = map(int, input().split())
  if UF.same(a, b):
    direct_connect[a] += 1
    direct_connect[b] += 1
ans = ""
for i in range(1, N+1):
  ans += "%d "%(UF.size(i)-direct_connect[i]-1)
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from collections import deque
from copy import deepcopy

N, M, K = map(int, input().split())
SNS = [[0 for _ in range(N+1)] for __ in range(N+1)]
Follow = [deque() for __ in range(N+1)]
for _ in range(M):
  a, b = map(int, input().split())
  SNS[a][b] = 1
  SNS[b][a] = 1
  Follow[a].append(b)
  Follow[b].append(a)
for _ in range(K):
  a, b = map(int, input().split())
  SNS[a][b] = -1
  SNS[b][a] = -1

Chains = []
seen = [False]*(N+1)
i = 1
while i <= N:
  if not seen[i]:
    seen[i] = True
    chain = deque()
    q = deque(Follow[i])
    memo = [False]*(N+1)
    while q:
      j = q.pop()
      if not memo[j]:
        memo[j] = True
        seen[j] = True
        chain.append(j)
        q += Follow[j]
    Chains.append(deepcopy(chain))
  i += 1
ans = [0] * (N+1)

for chain in Chains:
  l = len(chain)
  for hito in chain:
    n = 0
    for aite in chain:
      n += 0 if SNS[hito][aite] == 0 else 1
    ans[hito] = l - n -1
print(" ".join([str(a) for a in ans[1:]]))


Fixed submission:
from collections import deque
from copy import deepcopy

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+1)
direct_connect = [0]*(N+1)
for _ in range(M):
  a, b = map(int, input().split())
  UF.union(a, b)
  direct_connect[a] += 1
  direct_connect[b] += 1
for _ in range(K):
  a, b = map(int, input().split())
  if UF.same(a, b):
    direct_connect[a] += 1
    direct_connect[b] += 1
ans = ""
for i in range(1, N+1):
  ans += "%d "%(UF.size(i)-direct_connect[i]-1)
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from collections import deque
from copy import deepcopy
N, M, K = map(int, input().split())
SNS = [[0 for _ in range(N+1)] for __ in range(N+1)]
Follow = [deque() for __ in range(N+1)]
for _ in range(M):
  a, b = map(int, input().split())
  SNS[a][b] = 1
  SNS[b][a] = 1
  Follow[a].append(b)
  Follow[b].append(a)
for _ in range(K):
  a, b = map(int, input().split())
  SNS[a][b] = -1
  SNS[b][a] = -1

Chains = []
seen = [False]*(N+1)
i = 1
while i <= N:
  if not seen[i]:
    seen[i] = True
    chain = deque()
    q = deque(deepcopy(Follow[i]))
    memo = [False]*(N+1)
    while q:
      j = q.pop()
      if not memo[j]:
        memo[j] = True
        seen[j] = True
        chain.append(j)
        q += deepcopy(Follow[j])
    Chains.append(deepcopy(chain))
  i += 1
ans = [0] * (N+1)

for chain in Chains:
  l = len(chain)
  for hito in chain:
    n = 0
    for aite in chain:
      n += 0 if SNS[hito][aite] == 0 else 1
    ans[hito] = l - n -1
print(" ".join([str(a) for a in ans[1:]]))

Fixed submission:
from collections import deque
from copy import deepcopy

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+1)
direct_connect = [0]*(N+1)
for _ in range(M):
  a, b = map(int, input().split())
  UF.union(a, b)
  direct_connect[a] += 1
  direct_connect[b] += 1
for _ in range(K):
  a, b = map(int, input().split())
  if UF.same(a, b):
    direct_connect[a] += 1
    direct_connect[b] += 1
ans = ""
for i in range(1, N+1):
  ans += "%d "%(UF.size(i)-direct_connect[i]-1)
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from collections import deque
from copy import deepcopy
N, M, K = map(int, input().split())
SNS = [[0 for _ in range(N+1)] for __ in range(N+1)]
Follow = [deque() for __ in range(N+1)]
for _ in range(M):
  a, b = map(int, input().split())
  SNS[a][b] = 1
  SNS[b][a] = 1
  Follow[a].append(b)
  Follow[b].append(a)
for _ in range(K):
  a, b = map(int, input().split())
  SNS[a][b] = -1
  SNS[b][a] = -1
Chains = []
seen = [False]*(N+1)
i = 1
while i <= N:
  if not seen[i]:
    seen[i] = True
    chain = deque()
    q = deque(deepcopy(Follow[i]))
    memo = [False]*(N+1)
    while q:
      j = q.pop()
      if not memo[j]:
        memo[j] = True
        seen[j] = True
        chain.append(j)
        for k in Follow[j]:
          q.append(k)
    Chains.append(deepcopy(chain))
  i += 1
ans = [0] * (N+1)
for chain in Chains:
  l = len(chain)
  for hito in chain:
    n = 0
    for aite in chain:
      n += 0 if SNS[hito][aite] == 0 else 1
    ans[hito] = l - n -1
s = ""
i = 1
while i <= N:
  s += "%d "%ans[i]
  i += 1
print(s)

Fixed submission:
from collections import deque
from copy import deepcopy

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+1)
direct_connect = [0]*(N+1)
for _ in range(M):
  a, b = map(int, input().split())
  UF.union(a, b)
  direct_connect[a] += 1
  direct_connect[b] += 1
for _ in range(K):
  a, b = map(int, input().split())
  if UF.same(a, b):
    direct_connect[a] += 1
    direct_connect[b] += 1
ans = ""
for i in range(1, N+1):
  ans += "%d "%(UF.size(i)-direct_connect[i]-1)
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from collections import deque
from copy import deepcopy
N, M, K = map(int, input().split())
SNS = [[0 for _ in range(N+1)] for __ in range(N+1)]
for _ in range(M):
  a, b = map(int, input().split())
  SNS[a][b] = 1
  SNS[b][a] = 1
for _ in range(K):
  a, b = map(int, input().split())
  SNS[a][b] = -1
  SNS[b][a] = -1
Chains = []
seen = [False]*(N+1)
i = 1
while i <= N:
  if not seen[i]:
    seen[i] = True
    chain = deque()
    q = deque()
    j = 1
    while j <= N:
      if SNS[i][j] == 1:
        q.append(j)
      j += 1
    memo = [False]*(N+1)
    while q:
      j = q.pop()
      if not memo[j]:
        memo[j] = True
        seen[j] = True
        chain.append(j)
        k = 1
        while k <= N:
          if SNS[j][k] == 1:
            q.append(k)
          k += 1
    Chains.append(deepcopy(chain))
  i += 1
ans = [0] * (N+1)
for chain in Chains:
  l = len(chain)
  for hito in chain:
    n = 0
    for aite in chain:
      n += 0 if SNS[hito][aite] == 0 else 1
    ans[hito] = l - n -1
s = ""
i = 1
while i <= N:
  s += "%d "%ans[i]
  i += 1
print(s)

Fixed submission:
from collections import deque
from copy import deepcopy

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+1)
direct_connect = [0]*(N+1)
for _ in range(M):
  a, b = map(int, input().split())
  UF.union(a, b)
  direct_connect[a] += 1
  direct_connect[b] += 1
for _ in range(K):
  a, b = map(int, input().split())
  if UF.same(a, b):
    direct_connect[a] += 1
    direct_connect[b] += 1
ans = ""
for i in range(1, N+1):
  ans += "%d "%(UF.size(i)-direct_connect[i]-1)
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from collections import deque
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())
SNS = [[0 for _ in range(N+1)] for _ in range(N+1)]
for _ in range(M):
  a, b = map(int, input().split())
  SNS[a][b] = 1
  SNS[b][a] = 1
for _ in range(K):
  a, b = map(int, input().split())
  SNS[a][b] = -1
  SNS[b][a] = -1
UF = UnionFind(N+1)
seen = [False]*(N+1)
i = 1
while i <= N:
  if not seen[i]:
    seen[i] = True
    q = deque()
    j = 1
    memo = [False]*(N+1)
    while j <= N:
      if SNS[i][j] == 1:
        q.append(j)
      j += 1
    while q:
      j = q.pop()
      seen[j] = True
      memo[j] = True
      UF.union(i, j)
      k = 1
      while k <= N:
        if SNS[j][k] == 1 and not memo[k]:
          q.append(k)
        k += 1
  i += 1
ans = ""
i = 1
while i <= N:
  c = -1
  for j in UF.members(i):
    if SNS[i][j] == 0:
      c += 1
  ans += "%d "%c
  i += 1
print(ans)

Fixed submission:
from collections import deque
from copy import deepcopy

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+1)
direct_connect = [0]*(N+1)
for _ in range(M):
  a, b = map(int, input().split())
  UF.union(a, b)
  direct_connect[a] += 1
  direct_connect[b] += 1
for _ in range(K):
  a, b = map(int, input().split())
  if UF.same(a, b):
    direct_connect[a] += 1
    direct_connect[b] += 1
ans = ""
for i in range(1, N+1):
  ans += "%d "%(UF.size(i)-direct_connect[i]-1)
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from collections import deque
N, M, K = map(int, input().split())
SNS = [[0 for _ in range(N+1)] for _ in range(N+1)]
for _ in range(M):
  a, b = map(int, input().split())
  SNS[a][b] = 1
  SNS[b][a] = 1
for _ in range(K):
  a, b = map(int, input().split())
  SNS[a][b] = -1
  SNS[b][a] = -1
ans = [0]*(N+1)
i = 1
while i <= N:
  memo = [False]*(N+1)
  memo[i] = True
  q = deque()
  j = 1 
  while j <= N:
    if SNS[i][j] == 1:
      q.append(j)
    j += 1
  while q:
    f = q.pop()
    if memo[f]:
      continue
    memo[f] = True
    if SNS[i][f] == 0:
      ans[i] += 1
    j = 1
    while j <= N:
      if SNS[f][j] == 1:
        q.append(j)
      j += 1
  i += 1
s = "%d"%ans[1]
for a in ans[2:]:
  s += " %d"%a
print(s)

Fixed submission:
from collections import deque
from copy import deepcopy

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+1)
direct_connect = [0]*(N+1)
for _ in range(M):
  a, b = map(int, input().split())
  UF.union(a, b)
  direct_connect[a] += 1
  direct_connect[b] += 1
for _ in range(K):
  a, b = map(int, input().split())
  if UF.same(a, b):
    direct_connect[a] += 1
    direct_connect[b] += 1
ans = ""
for i in range(1, N+1):
  ans += "%d "%(UF.size(i)-direct_connect[i]-1)
print(ans)