Problem: An SNS has N users - User 1, User 2, \cdots, User N.  Between these N users, there are some relationships - M _friendships_ and K _blockships_.  For each i = 1, 2, \cdots, M, there is a bidirectional friendship between User A_i and User B_i.  For each i = 1, 2, \cdots, K, there is a bidirectional blockship between User C_i and User D_i.  We define User a to be a _friend candidate_ for User b when all of the following four conditions are satisfied:    * a \neq b.   * There is not a friendship between User a and User b.   * There is not a blockship between User a and User b.   * There exists a sequence c_0, c_1, c_2, \cdots, c_L consisting of integers between 1 and N (inclusive) such that c_0 = a, c_L = b, and there is a friendship between User c_i and c_{i+1} for each i = 0, 1, \cdots, L - 1.  For each user i = 1, 2, ... N, how many friend candidates does it have?

Submission attempts (in order):
#import sys


class UF:
    
    def __init__(self,n):
        self.n = n
        self.parents = [-1] * (n+1) 
        self.rnks = [0] * (n+1)

    def find(self,n):
        if self.parents[n] < 0:
            return n
        else:
            self.parents[n] = self.find(self.parents[n])
            return self.parents[n]

    def union(self,a,b):
        a_par = self.find(a)
        b_par = self.find(b)

        if a_par == b_par:
            return
        ##union by rank
        
        
        #if self.rnks[a_par] == self.rnks[b_par]:
        #    self.rnks[a_par] += 1
        if self.size(a_par) < self.size(b_par): 
            a_par,b_par = b_par,a_par
        self.parents[a_par] += self.parents[b_par]
        self.parents[b_par] = a_par

    def size(self,n):
        par = self.find(n)
        return abs(self.parents[par])

    def is_same(self,a,b):
        return self.find(a) == self.find(b)



def main():
    n,m,k = map(int,input().split())
    uf = UF(n)
    block_lst = [0 for _ in range(n+1)]
    friend_lst = [0 for _ in range(n+1)]
    
    for i in range(m):
        a,b = map(int,input().split())
        friend_lst[a] += 1
        friend_lst[b] += 1
        uf.union(a,b)
    #print(friend_lst)

    
    for i in range(k):
        c,d = map(int,input().split())
        if uf.is_same(c,d):
            block_lst[c] += 1
            block_lst[d] += 1
    #print(block_lst)
    
    answer = []

    for i in range(1,n+1):
        f_o_f = uf.length(i)
        answer.append(f_o_f - friend_lst[i] - block_lst[i] - 1)


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






if __name__ == '__main__':
    main()


#import sys


class UF:
    
    def __init__(self,n):
        self.n = n
        self.parents = [-1] * (n+1) 
        self.rnks = [0] * (n+1)

    def find(self,n):
        if self.parents[n] < 0:
            return n
        else:
            self.find(self.parents[n])


    def union(self,a,b):
        a_par = self.find(a)
        b_par = self.find(b)

        if a_par == b_par:
            return
        ##union by rank
        
        
        #if self.rnks[a_par] == self.rnks[b_par]:
        #    self.rnks[a_par] += 1
        if self.size(a_par) < self.size(b_par): 
            a_par,b_par = b_par,a_par
        self.parents[a_par] += self.parents[b_par]
        self.parents[b_par] = a_par

    def size(self,n):
        par = self.find(n)
        return abs(self.parents[par])

    def is_same(self,a,b):
        return self.find(a) == self.find(b)



def main():
    n,m,k = map(int,input().split())
    uf = UF(n)
    block_lst = [0 for _ in range(n+1)]
    friend_lst = [0 for _ in range(n+1)]
    
    for i in range(m):
        a,b = map(int,input().split())
        friend_lst[a] += 1
        friend_lst[b] += 1
        uf.union(a,b)
    #print(friend_lst)

    
    for i in range(k):
        c,d = map(int,input().split())
        if uf.is_same(c,d):
            block_lst[c] += 1
            block_lst[d] += 1
    #print(block_lst)
    
    answer = []

    for i in range(1,n+1):
        f_o_f = uf.size(i)
        answer.append(f_o_f - friend_lst[i] - block_lst[i] - 1)


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






if __name__ == '__main__':
    main()



import sys
sys.setrecursionlimit(999999999999)

class UF:
    
    def __init__(self,n):
        self.n = n
        self.parents = [-1] * (n+1) 
        self.rnks = [0] * (n+1)

    def find(self,n):
        if self.parents[n] < 0:
            return n
        else:
            self.parents[n] = self.find(self.parents[n])
            return self.parents[n]

    def union(self,a,b):
        a_par = self.find(a)
        b_par = self.find(b)

        if a_par == b_par:
            return
        if self.rnks[a_par] > self.rnks[b_par]:
            a_par,b_par = b_par,a_par
        if self.rnks[a_par] == self.rnks[b_par]:
            self.rnks[a_par] += 1
        self.parents[a_par] += self.parents[b_par]
        self.parents[b_par] = a_par

    def length(self,n):
        par = self.find(n)
        return abs(self.parents[par])

    def is_same(self,a,b):
        return self.find(a) == self.find(b)



def main():
    n,m,k = map(int,input().split())
    uf = UF(n)
    block_lst = [0 for _ in range(n+1)]
    friend_lst = [0 for _ in range(n+1)]
    
    for i in range(m):
        a,b = map(int,input().split())
        friend_lst[a] += 1
        friend_lst[b] += 1
        uf.union(a,b)
    #print(friend_lst)

    
    for i in range(k):
        c,d = map(int,input().split())
        if uf.is_same(c,d):
            block_lst[c] += 1
            block_lst[d] += 1
    #print(block_lst)
    
    answer = []

    for i in range(1,n+1):
        f_o_f = uf.length(i)
        answer.append(f_o_f - friend_lst[i] - block_lst[i] - 1)


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






if __name__ == '__main__':
    main()


#import sys


class UF:
    
    def __init__(self,n):
        self.n = n
        self.parents = [-1] * (n+1) 
        self.rnks = [0] * (n+1)

    def find(self,n):
        if self.parents[n] < 0:
            return n
        else:
            return self.find(self.parents[n])


    def union(self,a,b):
        a_par = self.find(a)
        b_par = self.find(b)

        if a_par == b_par:
            return
        #union by rank
        if self.rnks[a_par] < self.rnks[b_par]: 
            a_par,b_par = b_par,a_par
        if self.rnks[a_par] == self.rnks[b_par]:
            self.rnks[a_par] += 1


        self.parents[a_par] += self.parents[b_par]
        self.parents[b_par] = a_par

    def size(self,n):
        par = self.find(n)
        return abs(self.parents[par])

    def is_same(self,a,b):
        return self.find(a) == self.find(b)



def main():
    n,m,k = map(int,input().split())
    uf = UF(n)
    block_lst = [0 for _ in range(n+1)]
    friend_lst = [0 for _ in range(n+1)]
    
    for i in range(m):
        a,b = map(int,input().split())
        friend_lst[a] += 1
        friend_lst[b] += 1
        uf.union(a,b)
    #print(friend_lst)

    
    for i in range(k):
        c,d = map(int,input().split())
        if uf.is_same(c,d):
            block_lst[c] += 1
            block_lst[d] += 1
    #print(block_lst)
    
    answer = []

    for i in range(1,n+1):
        f_o_f = uf.size(i)
        answer.append(f_o_f - friend_lst[i] - block_lst[i] - 1)


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






if __name__ == '__main__':
    main()


Verdicts: Runtime Error

Runtime Error

Runtime Error

Accepted