Buggy python submission (verdict: Time Limit Exceeded):
def inputs(): return (int(x) for x in 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 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 = inputs()
uf = UnionFind(N+1)
f = {i:[] for i in range(N)}
b = {i:[] for i in range(N)}
ans = [0]*(N)
for _ in range(M):
    x,y = [int(x) for x in input().split()]
    f[x-1].append(y-1)
    f[y-1].append(x-1)
    uf.union(x-1,y-1)
for _ in range(K):
    x,y = inputs()
    b[x-1].append(y-1)
    b[y-1].append(x-1)
for i in range(N):
    #print(uf.members(i),)
    for j in uf.members(i):
        if j in f[i] or j in b[i] or i==j:
            continue
        ans[i]+=1
print(*ans)

Fixed submission:
def inputs(): return (int(x) for x in 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 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 = inputs()
uf = UnionFind(N+1)
f = {i:[] for i in range(N)}
b = {i:[] for i in range(N)}
ans = [0]*(N)
for _ in range(M):
    x,y = [int(x) for x in input().split()]
    f[x-1].append(y-1)
    f[y-1].append(x-1)
    uf.union(x-1,y-1)
for _ in range(K):
    x,y = inputs()
    if uf.same(x-1,y-1):
        b[x-1].append(y-1)
        b[y-1].append(x-1)
for i in range(N):
    ans[i]+=uf.size(i)-len(f[i])-len(b[i])-1
print(*ans)

Buggy python submission (verdict: Time Limit Exceeded):
def inputs(): return (int(x) for x in input().split())
N,M,K = inputs()
f = {i:[] for i in range(N)}
b = {i:[] for i in range(N)}
ans = [0]*(N)
for _ in range(M):
    x,y = [int(x) for x in input().split()]
    f[x-1].append(y-1)
    f[y-1].append(x-1)
for _ in range(K):
    x,y = inputs()
    b[x-1].append(y-1)
    b[y-1].append(x-1)
for i in range(N):
    visited =visited = {i: False for i in range(N)}
    stk = [(i,-1,0)]
    while stk:
        v,p,l = stk.pop()
        if visited[v]:
            continue
        visited[v] = True
        if 1<l and not v in b[i] and not v in f[i]:
            ans[i]+=1
        for u in f[v]:
            if u !=p:
                stk.append((u,v,l+1))
print(*ans)

Fixed submission:
def inputs(): return (int(x) for x in 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 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 = inputs()
uf = UnionFind(N+1)
f = {i:[] for i in range(N)}
b = {i:[] for i in range(N)}
ans = [0]*(N)
for _ in range(M):
    x,y = [int(x) for x in input().split()]
    f[x-1].append(y-1)
    f[y-1].append(x-1)
    uf.union(x-1,y-1)
for _ in range(K):
    x,y = inputs()
    if uf.same(x-1,y-1):
        b[x-1].append(y-1)
        b[y-1].append(x-1)
for i in range(N):
    ans[i]+=uf.size(i)-len(f[i])-len(b[i])-1
print(*ans)

Buggy python submission (verdict: Time Limit Exceeded):
def inputs(): return (int(x) for x in 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 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 = inputs()
uf = UnionFind(N+1)
f = {i:[] for i in range(N)}
b = {i:[] for i in range(N)}
ans = [0]*(N)
for _ in range(M):
    x,y = [int(x) for x in input().split()]
    f[x-1].append(y-1)
    f[y-1].append(x-1)
    uf.union(x-1,y-1)
for _ in range(K):
    x,y = inputs()
    b[x-1].append(y-1)
    b[y-1].append(x-1)
for i in range(N):
    for j in range(i+1,N):
        if j in f[i] or j in b[i]:
            continue
        if uf.same(i,j):
            ans[i]+=1
            ans[j]+=1
print(*ans)

Fixed submission:
def inputs(): return (int(x) for x in 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 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 = inputs()
uf = UnionFind(N+1)
f = {i:[] for i in range(N)}
b = {i:[] for i in range(N)}
ans = [0]*(N)
for _ in range(M):
    x,y = [int(x) for x in input().split()]
    f[x-1].append(y-1)
    f[y-1].append(x-1)
    uf.union(x-1,y-1)
for _ in range(K):
    x,y = inputs()
    if uf.same(x-1,y-1):
        b[x-1].append(y-1)
        b[y-1].append(x-1)
for i in range(N):
    ans[i]+=uf.size(i)-len(f[i])-len(b[i])-1
print(*ans)

Buggy python submission (verdict: Time Limit Exceeded):
def inputs(): return (int(x) for x in 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 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 = inputs()
uf = UnionFind(N+1)
f = {i:[] for i in range(N)}
b = {i:[] for i in range(N)}
ans = [0]*(N)
for _ in range(M):
    x,y = [int(x) for x in input().split()]
    f[x-1].append(y-1)
    f[y-1].append(x-1)
    uf.union(x-1,y-1)
for _ in range(K):
    x,y = inputs()
    b[x-1].append(y-1)
    b[y-1].append(x-1)
for i in range(N):
    for j in range(N):
        if i==j:
            continue
        if not j in f[i] and not j in b[i] and uf.same(i,j):
            ans[i]+=1
print(*ans)

Fixed submission:
def inputs(): return (int(x) for x in 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 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 = inputs()
uf = UnionFind(N+1)
f = {i:[] for i in range(N)}
b = {i:[] for i in range(N)}
ans = [0]*(N)
for _ in range(M):
    x,y = [int(x) for x in input().split()]
    f[x-1].append(y-1)
    f[y-1].append(x-1)
    uf.union(x-1,y-1)
for _ in range(K):
    x,y = inputs()
    if uf.same(x-1,y-1):
        b[x-1].append(y-1)
        b[y-1].append(x-1)
for i in range(N):
    ans[i]+=uf.size(i)-len(f[i])-len(b[i])-1
print(*ans)