Buggy python submission (verdict: Time Limit Exceeded):
class Union_Find():
    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())

A=[set() for _ in range(N+1)]
U=Union_Find(N+1)
for _ in range(M):
    a,b=map(int,input().split())
    A[a].add(b)
    A[b].add(a)
    U.union(a,b)

C=[set() for _ in range(N+1)]
for _ in range(K):
    c,d=map(int,input().split())
    C[c].add(d)
    C[d].add(c)

T=U.all_group_members()
V={x:set(T[x]) for x in T}

S=[]
for k in range(1,N+1):
    S.append(str(len(V[U.find(k)]-(A[k]|C[k]|{k}))))
print(" ".join(S))


Fixed submission:
class Union_Find():
    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())

A=[set() for _ in range(N+1)]
U=Union_Find(N+1)
for _ in range(M):
    a,b=map(int,input().split())
    A[a].add(b)
    A[b].add(a)
    U.union(a,b)

C=[set() for _ in range(N+1)]
for _ in range(K):
    c,d=map(int,input().split())
    C[c].add(d)
    C[d].add(c)

S=[]
for k in range(1,N+1):
    t=U.size(k)
    for a in C[k]:
        if U.find(a)==U.find(k):
            t-=1

    t-=len(A[k])
    S.append(t-1)

print(" ".join(map(str,S)))

Buggy python submission (verdict: Time Limit Exceeded):
class Union_Find():
    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())

A=[set() for _ in range(N+1)]
U=Union_Find(N+1)
for _ in range(M):
    a,b=map(int,input().split())
    A[a].add(b)
    A[b].add(a)
    U.union(a,b)

C=[set() for _ in range(N+1)]
for _ in range(K):
    c,d=map(int,input().split())
    C[c].add(d)
    C[d].add(c)

T=U.all_group_members()
V={x:set(T[x]) for x in T}

S=[]
for k in range(1,N+1):
    S.append(str(len(V[U.find(k)]-(A[k]|C[k]|{k}))))
print(" ".join(S))


Fixed submission:
class Union_Find():
    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())

A=[set() for _ in range(N+1)]
U=Union_Find(N+1)
for _ in range(M):
    a,b=map(int,input().split())
    A[a].add(b)
    A[b].add(a)
    U.union(a,b)

C=[set() for _ in range(N+1)]
for _ in range(K):
    c,d=map(int,input().split())
    C[c].add(d)
    C[d].add(c)

S=[]
for k in range(1,N+1):
    t=U.size(k)
    for a in C[k]:
        if U.find(a)==U.find(k):
            t-=1

    t-=len(A[k])
    S.append(t-1)

print(" ".join(map(str,S)))

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

N,M,K=map(int,input().split())
A={i:set() for i in range(1,N+1)}
for _ in range(M):
    a,b=map(int,input().split())
    A[a].add(b)
    A[b].add(a)

C={i:set() for i in range(1,N+1)}
for _ in range(K):
    c,d=map(int,input().split())
    C[c].add(d)
    C[d].add(c)

T={i:False for i in range(1,N+1)}
def Connected_Component(v):
    S=deque([v])
    T[v]=True
    q=1
    D=[]
    while S:
        w=S.pop()
        D.append(w)
        for u in [u for u in A[w] if not T[u]]:
            q+=1
            T[u]=True
            S.append(u)

    return D

s=0
F=[0]*(N+1)
E=[]
for v in range(1,N+1):
    if not T[v]:
        B=Connected_Component(v)
        E.append(set(B))
        for x in B:
            F[x]=s
        s+=1

P=[]
for i in range(1,N+1):
    c=F[i]
    P.append(str(len(E[c]-(A[i]|C[i]|{i}))))
print(" ".join(P))


Fixed submission:
class Union_Find():
    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())

A=[set() for _ in range(N+1)]
U=Union_Find(N+1)
for _ in range(M):
    a,b=map(int,input().split())
    A[a].add(b)
    A[b].add(a)
    U.union(a,b)

C=[set() for _ in range(N+1)]
for _ in range(K):
    c,d=map(int,input().split())
    C[c].add(d)
    C[d].add(c)

S=[]
for k in range(1,N+1):
    t=U.size(k)
    for a in C[k]:
        if U.find(a)==U.find(k):
            t-=1

    t-=len(A[k])
    S.append(t-1)

print(" ".join(map(str,S)))

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

def Connected_Component(A,N):
    T={i:False for i in range(1,N+1)}
    V=set([i for i in range(1,N+1)])
    C=[]
    p=0
    while p<N:
        v=V.pop()
        S=deque([v])
        T[v]=True
        q=1
        D=[]
        while S:
            w=S.pop()
            D.append(w)
            for u in [u for u in A[w] if not T[u]]:
                q+=1
                T[u]=True
                S.append(u)

        p+=q
        E=set(D)
        C.append(E)
        V-=E
    return C
    
N,M,K=map(int,input().split())
A={i:set() for i in range(1,N+1)}
for _ in range(M):
    a,b=map(int,input().split())
    A[a].add(b)
    A[b].add(a)

C={i:set() for i in range(1,N+1)}
for _ in range(K):
    c,d=map(int,input().split())
    C[c].add(d)
    C[d].add(c)

E=Connected_Component(A,N)
F=["*"]+[0]*(N)
for i in range(len(E)):
    for x in E[i]:
        F[x]=i
P=[]
for i in range(1,N+1):
    c=F[i]
    P.append(str(len(E[c]-(A[i]|C[i]|{i}))))
print(" ".join(P))


Fixed submission:
class Union_Find():
    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())

A=[set() for _ in range(N+1)]
U=Union_Find(N+1)
for _ in range(M):
    a,b=map(int,input().split())
    A[a].add(b)
    A[b].add(a)
    U.union(a,b)

C=[set() for _ in range(N+1)]
for _ in range(K):
    c,d=map(int,input().split())
    C[c].add(d)
    C[d].add(c)

S=[]
for k in range(1,N+1):
    t=U.size(k)
    for a in C[k]:
        if U.find(a)==U.find(k):
            t-=1

    t-=len(A[k])
    S.append(t-1)

print(" ".join(map(str,S)))

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

def Connected_Component(A,N):
    T={i:False for i in range(1,N+1)}
    V=set([i for i in range(1,N+1)])
    C=[]
    p=0
    while p<N:
        v=V.pop()
        S=deque([v])
        T[v]=True
        q=1
        D=[]
        while S:
            w=S.pop()
            D.append(w)
            for u in [u for u in A[w] if not T[u]]:
                q+=1
                T[u]=True
                S.append(u)

        p+=q
        E=set(D)
        C.append(E)
        V-=E
    return C
    
N,M,K=map(int,input().split())
A={i:set() for i in range(1,N+1)}
for _ in range(M):
    a,b=map(int,input().split())
    A[a].add(b)
    A[b].add(a)

C={i:set() for i in range(1,N+1)}
for _ in range(K):
    c,d=map(int,input().split())
    C[c].add(d)
    C[d].add(c)

E=Connected_Component(A,N)
F=["*"]+[0]*(N)
for i in range(len(E)):
    for x in E[i]:
        F[x]=i
P=[]
for i in range(1,N+1):
    c=F[i]
    P.append(str(len(E[c]-(A[i]|C[i]|{i}))))
print(" ".join(P))


Fixed submission:
class Union_Find():
    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())

A=[set() for _ in range(N+1)]
U=Union_Find(N+1)
for _ in range(M):
    a,b=map(int,input().split())
    A[a].add(b)
    A[b].add(a)
    U.union(a,b)

C=[set() for _ in range(N+1)]
for _ in range(K):
    c,d=map(int,input().split())
    C[c].add(d)
    C[d].add(c)

S=[]
for k in range(1,N+1):
    t=U.size(k)
    for a in C[k]:
        if U.find(a)==U.find(k):
            t-=1

    t-=len(A[k])
    S.append(t-1)

print(" ".join(map(str,S)))

Buggy python submission (verdict: Time Limit Exceeded):
from collections import deque
    
N,M,K=map(int,input().split())
A={i:set() for i in range(1,N+1)}
for _ in range(M):
    a,b=map(int,input().split())
    A[a].add(b)
    A[b].add(a)

C={i:set() for i in range(1,N+1)}
for _ in range(K):
    c,d=map(int,input().split())
    C[c].add(d)
    C[d].add(c)

T={i:False for i in range(1,N+1)}
V=set([i for i in range(1,N+1)])
E=[]
p=0
while p<N:
    v=V.pop()
    S=deque([v])
    T[v]=True
    p+=1
    D=[]
    while S:
        w=S.pop()
        D.append(w)
        for u in [u for u in A[w] if not T[u]]:
            p+=1
            T[u]=True
            S.append(u)
    E.append(set(D))
    V-=set(D)

        
F=["*"]+[0]*(N)
for i in range(len(E)):
    for x in E[i]:
        F[x]=i

for i in range(1,N+1):
    c=F[i]
    print(len(E[c]-(A[i]|C[i]|{i})),end="")
    if i!=N:
        print(" ",end="")
print()


Fixed submission:
class Union_Find():
    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())

A=[set() for _ in range(N+1)]
U=Union_Find(N+1)
for _ in range(M):
    a,b=map(int,input().split())
    A[a].add(b)
    A[b].add(a)
    U.union(a,b)

C=[set() for _ in range(N+1)]
for _ in range(K):
    c,d=map(int,input().split())
    C[c].add(d)
    C[d].add(c)

S=[]
for k in range(1,N+1):
    t=U.size(k)
    for a in C[k]:
        if U.find(a)==U.find(k):
            t-=1

    t-=len(A[k])
    S.append(t-1)

print(" ".join(map(str,S)))

Buggy python submission (verdict: Time Limit Exceeded):
from collections import deque
import sys
sys.setrecursionlimit(10**5+200)

def Connected_Component(A,N):
    T={i:False for i in range(1,N+1)}
    V=set([i for i in range(1,N+1)])
    C=[]
    p=0
    while p<N:
        v=V.pop()
        S=deque([v])
        T[v]=True
        q=1
        D=[]
        while S:
            w=S.pop()
            D.append(w)
            for u in [u for u in A[w] if not T[u]]:
                q+=1
                T[u]=True
                S.append(u)

        p+=q
        E=set(D)
        C.append(E)
        V-=E
    return C
    
N,M,K=map(int,input().split())
A={i:set() for i in range(1,N+1)}
for _ in range(M):
    a,b=map(int,input().split())
    A[a].add(b)
    A[b].add(a)

C={i:set() for i in range(1,N+1)}
for _ in range(K):
    c,d=map(int,input().split())
    C[c].add(d)
    C[d].add(c)

E=Connected_Component(A,N)
F=["*"]+[0]*(N)
for i in range(len(E)):
    for x in E[i]:
        F[x]=i

for i in range(1,N+1):
    c=F[i]
    print(len(E[c]-(A[i]|C[i]|{i})),end="")
    if i!=N:
        print(" ",end="")
print()


Fixed submission:
class Union_Find():
    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())

A=[set() for _ in range(N+1)]
U=Union_Find(N+1)
for _ in range(M):
    a,b=map(int,input().split())
    A[a].add(b)
    A[b].add(a)
    U.union(a,b)

C=[set() for _ in range(N+1)]
for _ in range(K):
    c,d=map(int,input().split())
    C[c].add(d)
    C[d].add(c)

S=[]
for k in range(1,N+1):
    t=U.size(k)
    for a in C[k]:
        if U.find(a)==U.find(k):
            t-=1

    t-=len(A[k])
    S.append(t-1)

print(" ".join(map(str,S)))

Buggy python submission (verdict: Time Limit Exceeded):
from collections import deque
import sys
sys.setrecursionlimit(10**5+200)

def Connected_Component(A,N):
    T={i:False for i in range(1,N+1)}
    V=set([i for i in range(1,N+1)])
    C=[]
    p=0
    while p<N:
        v=V.pop()
        S=deque([v])
        T[v]=True
        q=1
        D=[]
        while S:
            w=S.pop()
            D.append(w)
            for u in [u for u in A[w] if not T[u]]:
                q+=1
                T[u]=True
                S.append(u)

        p+=q
        E=set(D)
        C.append(E)
        V-=E
    return C
    
N,M,K=map(int,input().split())
A={i:set() for i in range(1,N+1)}
for _ in range(M):
    a,b=map(int,input().split())
    A[a].add(b)
    A[b].add(a)

C={i:set() for i in range(1,N+1)}
for _ in range(K):
    c,d=map(int,input().split())
    C[c].add(d)
    C[d].add(c)

E=Connected_Component(A,N)
F=["*"]+[0]*(N)
for i in range(len(E)):
    for x in E[i]:
        F[x]=i

for i in range(1,N+1):
    c=F[i]
    print(len(E[c]-(A[i]|C[i]|{i})),end="")
    if i!=N:
        print(" ",end="")
print()


Fixed submission:
class Union_Find():
    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())

A=[set() for _ in range(N+1)]
U=Union_Find(N+1)
for _ in range(M):
    a,b=map(int,input().split())
    A[a].add(b)
    A[b].add(a)
    U.union(a,b)

C=[set() for _ in range(N+1)]
for _ in range(K):
    c,d=map(int,input().split())
    C[c].add(d)
    C[d].add(c)

S=[]
for k in range(1,N+1):
    t=U.size(k)
    for a in C[k]:
        if U.find(a)==U.find(k):
            t-=1

    t-=len(A[k])
    S.append(t-1)

print(" ".join(map(str,S)))