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 queue
import numpy
def main():
    n,m,k=map(int,input().split())
    root=numpy.array([numpy.zeros(n) for i in range(n)])
    for i in range(n):
        root[i][i]=2
    for i in range(m):
        a,b=map(int,input().split())
        root[a-1][b-1]=1
        root[b-1][a-1]=1
    for i in range(k):
        a,b=map(int,input().split())
        root[a-1][b-1]=-100
        root[b-1][a-1]=-100
    toVis=queue.Queue()
    Visted=[]
    checkOK=numpy.zeros(n)
    OK={}
    checkVis=numpy.zeros(n)
    checkVinit=numpy.zeros(n)
    for i in range(n):
        if checkOK[i]==5:
            continue
        print(i)
        checkVis=checkVinit
        Visted=[i]
        checkVis[i]=5
        toVis=queue.Queue()
        
        for j in range(len(root[i])):
            nex=root[i][j]          
            if checkVis[j]!=5 and nex==1:
                toVis.put(j)

        while toVis.empty()==False:
        
            now=toVis.get()

            if checkVis[now]==5:
                continue

            Visted.append(now)
            checkVis[now]=5
            for j in range(n):#len(root[now]
                nex=root[now][j]
                if nex==1 and checkVis[j]!=5:
                    toVis.put(j)
    
        for j in Visted:
            OK[j]=Visted
            checkOK[j]=5
    print(1," ",1," ",1)
    
if __name__=="__main__":
    main()


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)
block={}
for i in range(n):
    block[i]=[i]
for i in range(m):
    a,b=map(int,input().split())
    uf.union(a-1,b-1)
    block[a-1].append(b-1)
    block[b-1].append(a-1)
    
for i in range(k):
    a,b=map(int,input().split())
    block[a-1].append(b-1)
    block[b-1].append(a-1)
ans=[]
print(block)
for i in range(n):
    res=uf.size(i)
    print(res)
    for value in block[i]:
        if uf.same(value,i):
            res-=1
    ans.append(res)
print(*ans)

import queue
import sys
import numpy
input = sys.stdin.readline

def main():
    n,m,k=map(int,input().split())
    root=numpy.array([numpy.zeros(n) for i in range(n)])
    for i in range(n):
        root[i][i]=2
    for i in range(m):
        a,b=map(int,input().split())
        root[a-1][b-1]=1
        root[b-1][a-1]=1
    for i in range(k):
        a,b=map(int,input().split())
        root[a-1][b-1]=-100
        root[b-1][a-1]=-100
    toVis=queue.Queue()
    Visted=[]
    checkOK=numpy.zeros(n)
    OK={}
    checkVis=numpy.zeros(n)
    checkVinit=numpy.zeros(n)
    for i in range(n):
        if checkOK[i]==5:
            continue
        print(i)
        checkVis=checkVinit
        Visted=[i]
        checkVis[i]=5
        toVis=queue.Queue()
        
        for j in range(len(root[i])):
            nex=root[i][j]          
            if checkVis[j]!=5 and nex==1:
                toVis.put(j)

        while toVis.empty()==False:
        
            now=toVis.get()

            if checkVis[now]==5:
                continue

            Visted.append(now)
            checkVis[now]=5
            for j in range(n):#len(root[now]
                nex=root[now][j]
                if nex==1 and checkVis[j]!=5:
                    toVis.put(j)
    
        for j in Visted:
            OK[j]=Visted
            checkOK[j]=5
    
    ans=[]
    for i in range(n):
        num=0
        for value in OK[i]:
            if root[i][value]==0:
                num+=1
        ans.append(num)
    print(" ".join(map(str,ans)))
if __name__=="__main__":
    main()

    
        

import queue
def main():
    n,m,k=map(int,input().split())
    root={}
    ng={}
    for i in range(n):
        root[i]=[]
        ng[i]=[i]
    for i in range(m):
        a,b=map(int,input().split())
        root[a-1].append(b-1)
        root[b-1].append(a-1)
    for i in range(k):
        a,b=map(int,input().split())
        ng[a-1].append(b-1)
        ng[b-1].append(a-1)
    
    Vstd=[]
    checkVst=[0]*n
    num=[0]*n
    ToVst=queue.Queue()
    for i in range(n):
        Vstd=[]
        if checkVst[i]==1:
            continue
        now=i
        Vstd.append(now)
        checkVst[now]=1
        for kouho in root[now]:
            if checkVst[kouho]!=1:
                ToVst.put(kouho)
                checkVst[kouho]=1
        while ToVst.empty()==False:
            now=ToVst.get()
            Vstd.append(now)
            checkVst[now]=1
            for kouho in root[now]:
                if checkVst[kouho]==1:
                    continue
                ToVst.put(kouho)
                checkVst[kouho]=1
       #         print("a")

      #  print(Vstd)
        for x in Vstd:
            num[x]=len(Vstd)
            for y in Vstd:
                if y in ng[x] or y in root[x]:
                    num[x]-=1
    print(" ".join(map(str,num)))
    

import queue
import numpy
def main():
    n,m,k=map(int,input().split())
    root=numpy.array([[0]*n for i in range(n)])
    for i in range(n):
        root[i][i]=2
    for i in range(m):
        a,b=map(int,input().split())
        root[a-1][b-1]=1
        root[b-1][a-1]=1
    for i in range(k):
        a,b=map(int,input().split())
        root[a-1][b-1]=-100
        root[b-1][a-1]=-100
    toVis=queue.Queue()
    Visted=[]
    checkOK=numpy.zeros(n)
    OK={}
    checkVis=numpy.zeros(n)
    checkVinit=numpy.zeros(n)
    for i in range(n):
        if checkOK[i]==5:
            continue
        checkVis=checkVinit
        Visted=[i]
        checkVis[i]=5
        toVis=queue.Queue()
        
        for j in range(len(root[i])):
            nex=root[i][j]
            if checkVis[j]!=5 and nex==1:
                toVis.put(j)

        while toVis.empty()==False:
        
            now=toVis.get()

            if checkVis[now]==5:
                continue

            Visted.append(now)
            checkVis[now]=5
            for j in range(n):#len(rooot[now]
                nex=root[now][j]
                if nex==1 and checkVis[j]!=5:
                    toVis.put(j)
    
        for j in Visted:
            OK[j]=Visted
            checkOK[j]=5
    ans=[]
    for i in range(n):
        num=0
      """  for value in OK[i]:
            if root[i][value]==0:
                num+=1"""
        ans.append(num)
    print(" ".join(map(str,ans)))
if __name__=="__main__":
    main()


import queue
import numpy
def main():
    n,m,k=map(int,input().split())
    root=numpy.array([numpy.zeros(n) for i in range(n)])
    for i in range(n):
        root[i][i]=2
    for i in range(m):
        a,b=map(int,input().split())
        root[a-1][b-1]=1
        root[b-1][a-1]=1
    for i in range(k):
        a,b=map(int,input().split())
        root[a-1][b-1]=-100
        root[b-1][a-1]=-100
    toVis=queue.Queue()
    Visted=[]
    checkOK=numpy.zeros(n)
    OK={}
    checkVis=numpy.zeros(n)
    checkVinit=numpy.zeros(n)
    for i in range(n):
        if checkOK[i]==5:
            continue
        print(i)
        checkVis=checkVinit
        Visted=[i]
        checkVis[i]=5
        toVis=queue.Queue()
        
        for j in range(len(root[i])):
            nex=root[i][j]          
            if checkVis[j]!=5 and nex==1:
                toVis.put(j)

        while toVis.empty()==False:
        
            now=toVis.get()

            if checkVis[now]==5:
                continue

            Visted.append(now)
            checkVis[now]=5
            for j in range(n):#len(root[now]
                nex=root[now][j]
                if nex==1 and checkVis[j]!=5:
                    toVis.put(j)
    
        for j in Visted:
            OK[j]=Visted
            checkOK[j]=5
    print(1 1 1 1 1)
    
if __name__=="__main__":
    main()


import queue
import numpy
def main():
    n,m,k=map(int,input().split())
    root=numpy.array([[0]*n for i in range(n)])
    for i in range(n):
        root[i][i]=2
    for i in range(m):
        a,b=map(int,input().split())
        root[a-1][b-1]=1
        root[b-1][a-1]=1
    for i in range(k):
        a,b=map(int,input().split())
        root[a-1][b-1]=-100
        root[b-1][a-1]=-100
    toVis=queue.Queue()
    Visted=[]
    checkOK=numpy.zeros(n)
    OK={}
    checkVis=numpy.zeros(n)
    checkVinit=numpy.zeros(n)
    for i in range(n):
        if checkOK[i]==5:
            continue
        checkVis=checkVinit
        Visted=[i]
        checkVis[i]=5
        toVis=queue.Queue()
        
        for j in range(len(root[i])):
            nex=root[i][j]
            if checkVis[j]!=5 and nex==1:
                toVis.put(j)

        while toVis.empty()==False:
        
            now=toVis.get()

            if checkVis[now]==5:
                continue

            Visted.append(now)
            checkVis[now]=5
            for j in range(n):#len(rooot[now]
                nex=root[now][j]
                if nex==1 and checkVis[j]!=5:
                    toVis.put(j)
    
        for j in Visted:
            OK[j]=Visted
            checkOK[j]=5
    ans=[]
    for i in range(n):
        num=0
      """  for value in OK[i]:
            if root[i][value]==0:
                num+=1
        ans.append(num)"""
    print(" ".join(map(str,ans)))
if __name__=="__main__":
    main()


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())
def main():

    n,m,k=map(int,input().split())
    uf=UnionFind(n)
    block={}
    for i in range(n):
        block[i]=[i]
    for i in range(m):
        a,b=map(int,input().split())
        uf.union(a-1,b-1)
        block[a-1].append(b-1)
        block[b-1].append(a-1)
        
    for i in range(k):
        a,b=map(int,input().split())
        block[a-1].append(b-1)
        block[b-1].append(a-1)
    ans=[]
    #print(block)
    for i in range(n):
        res=uf.size(i)
    #   print(res)
        for value in block[i]:
            if uf.same(value,i):
                res-=1
        ans.append(res)
    print(*ans)
        
        
if __name__=="__main__":
    main()


Verdicts: Runtime Error

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