Buggy python submission (verdict: Time Limit Exceeded):
import sys
input = sys.stdin.readline


def Find(x, par):
  if par[x] < 0:
    return x
  else:
    # 経路圧縮
    par[x] = Find(par[x], par)
    return par[x]

def Unite(x, y, par, rank):
  x = Find(x, par)
  y = Find(y, par)
  
  if x != y:
    # rankの低い方を高い方につなげる
    if rank[x] < rank[y]:
      par[y] += par[x]
      par[x] = y
    else:
      par[x] += par[y]
      par[y] = x
      if rank[x] == rank[y]:
        rank[x] += 1
    
def Same(x, y, par):
  return Find(x, par) == Find(y, par)
 
def Size(x, par):
  return -par[Find(x)]

n, k, l = map(int, input().split())
rpar = [-1]* n
tpar = [-1]* n
rrank = [0]*n
trank = [0]*n

for i in range(k):
  p, q = map(int, input().split())
  p, q =p-1, q-1
  Unite(p,q, rpar, rrank) 

for i_ in range(l):
  p, q = map(int, input().split())
  p, q =p-1, q-1
  Unite(p,q, tpar, trank)

d = {}
IDs = [0]*n
for j in range(n):
  ID = Find(j, rpar)+(Find(j, tpar)+1)*10**8
  IDs[j] = ID
  if ID in d:
    d[ID] += 1
  else:
    d[ID] = 1

ans = ''
for j_ in range(n):
  if j_ != 0:
    ans += ' '
  ans += str(d[IDs[j_]])
print(ans)

Fixed submission:
def Find(x, par):
  if par[x] < 0:
    return x
  else:
    # 経路圧縮
    par[x] = Find(par[x], par)
    return par[x]

def Unite(x, y, par, rank):
  x = Find(x, par)
  y = Find(y, par)
  
  if x != y:
    # rankの低い方を高い方につなげる
    if rank[x] < rank[y]:
      par[y] += par[x]
      par[x] = y
    else:
      par[x] += par[y]
      par[y] = x
      if rank[x] == rank[y]:
        rank[x] += 1
    
def Same(x, y, par):
  return Find(x, par) == Find(y, par)
 
def Size(x, par):
  return -par[Find(x)]

n, k, l = map(int, input().split())
rpar = [-1]* n
tpar = [-1]* n
rrank = [0]*n
trank = [0]*n

for i in range(k):
  p, q = map(int, input().split())
  p, q =p-1, q-1
  Unite(p,q, rpar, rrank) 

for i_ in range(l):
  p, q = map(int, input().split())
  p, q =p-1, q-1
  Unite(p,q, tpar, trank)

d = {}
IDs = [0]*n
for j in range(n):
  ID = Find(j, rpar)+(Find(j, tpar)+1)*10**8
  IDs[j] = ID
  if ID in d:
    d[ID] += 1
  else:
    d[ID] = 1

ans = ''
for j_ in range(n):
  if j_ != 0:
    ans += ' '
  ans += str(d[IDs[j_]])
print(ans)

Buggy python submission (verdict: Runtime Error):
mport sys
input = sys.stdin.readline
 
def Find(x, par):
  if par[x] < 0:
    return x
  else:
    # 経路圧縮
    par[x] = Find(par[x], par)
    return par[x]

def Unite(x, y, par, rank):
  x = Find(x, par)
  y = Find(y, par)
  
  if x != y:
    # rankの低い方を高い方につなげる
    if rank[x] < rank[y]:
      par[y] += par[x]
      par[x] = y
    else:
      par[x] += par[y]
      par[y] = x
      if rank[x] == rank[y]:
        rank[x] += 1
    
def Same(x, y, par):
  return Find(x, par) == Find(y, par)
 
def Size(x, par):
  return -par[Find(x)]
 
n, k, l = map(int, input().split())
rpar = [-1]* n
tpar = [-1]* n
rrank = [0]*n
trank = [0]*n
 
for i in range(k):
  p, q = map(int, input().split())
  p, q =p-1, q-1
  Unite(p,q, rpar, rrank) 

for i_ in range(l):
  p, q = map(int, input().split())
  p, q =p-1, q-1
  Unite(p,q, tpar, trank)

d = {}
IDs = [0]*n
for j in range(n):
  ID = Find(j, rpar)+(Find(j, tpar)+1)*10**8
  IDs[j] = ID
  if ID in d:
    d[ID] += 1
  else:
    d[ID] = 1

ans = ''
for j_ in range(n):
  if j_ != 0:
    ans += ' '
  ans += str(d[IDs[j_]])
print(ans)

Fixed submission:
def Find(x, par):
  if par[x] < 0:
    return x
  else:
    # 経路圧縮
    par[x] = Find(par[x], par)
    return par[x]

def Unite(x, y, par, rank):
  x = Find(x, par)
  y = Find(y, par)
  
  if x != y:
    # rankの低い方を高い方につなげる
    if rank[x] < rank[y]:
      par[y] += par[x]
      par[x] = y
    else:
      par[x] += par[y]
      par[y] = x
      if rank[x] == rank[y]:
        rank[x] += 1
    
def Same(x, y, par):
  return Find(x, par) == Find(y, par)
 
def Size(x, par):
  return -par[Find(x)]

n, k, l = map(int, input().split())
rpar = [-1]* n
tpar = [-1]* n
rrank = [0]*n
trank = [0]*n

for i in range(k):
  p, q = map(int, input().split())
  p, q =p-1, q-1
  Unite(p,q, rpar, rrank) 

for i_ in range(l):
  p, q = map(int, input().split())
  p, q =p-1, q-1
  Unite(p,q, tpar, trank)

d = {}
IDs = [0]*n
for j in range(n):
  ID = Find(j, rpar)+(Find(j, tpar)+1)*10**8
  IDs[j] = ID
  if ID in d:
    d[ID] += 1
  else:
    d[ID] = 1

ans = ''
for j_ in range(n):
  if j_ != 0:
    ans += ' '
  ans += str(d[IDs[j_]])
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
def Find(x, par):
  if par[x] < 0:
    return x
  else:
    # 経路圧縮
    par[x] = Find(par[x], par)
    return par[x]

def Unite(x, y, par, rank):
  x = Find(x, par)
  y = Find(y, par)
  
  if x != y:
    # rankの低い方を高い方につなげる
    if rank[x] < rank[y]:
      par[y] += par[x]
      par[x] = y
    else:
      par[x] += par[y]
      par[y] = x
      if rank[x] == rank[y]:
        rank[x] += 1
    
def Same(x, y, par):
  return Find(x, par) == Find(y, par)
 
def Size(x, par):
  return -par[Find(x)]

n, k, l = map(int, input().split())
rpar = [-1]* n
tpar = [-1]* n
rrank = [0]*n
trank = [0]*n

for i in range(k):
  p, q = map(int, input().split())
  p, q =p-1, q-1
  Unite(p,q, rpar, rrank) 

for i_ in range(l):
  p, q = map(int, input().split())
  p, q =p-1, q-1
  Unite(p,q, tpar, trank)

d = {}
IDs = [0]*n
for j in range(n):
  ID = Find(j, rpar)+(Find(j, tpar)+1)*10**8
  IDs[j] = ID
  if ID in d:
    d[ID] += 1
  else:
    d[ID] = 1

ans = ''
for j_ in range(n):
  if j_ != 0:
    ans += ' '
  ans += str(d[IDs[j_]])
print(ans)

Fixed submission:
def Find(x, par):
  if par[x] < 0:
    return x
  else:
    # 経路圧縮
    par[x] = Find(par[x], par)
    return par[x]

def Unite(x, y, par, rank):
  x = Find(x, par)
  y = Find(y, par)
  
  if x != y:
    # rankの低い方を高い方につなげる
    if rank[x] < rank[y]:
      par[y] += par[x]
      par[x] = y
    else:
      par[x] += par[y]
      par[y] = x
      if rank[x] == rank[y]:
        rank[x] += 1
    
def Same(x, y, par):
  return Find(x, par) == Find(y, par)
 
def Size(x, par):
  return -par[Find(x)]

n, k, l = map(int, input().split())
rpar = [-1]* n
tpar = [-1]* n
rrank = [0]*n
trank = [0]*n

for i in range(k):
  p, q = map(int, input().split())
  p, q =p-1, q-1
  Unite(p,q, rpar, rrank) 

for i_ in range(l):
  p, q = map(int, input().split())
  p, q =p-1, q-1
  Unite(p,q, tpar, trank)

d = {}
IDs = [0]*n
for j in range(n):
  ID = Find(j, rpar)+(Find(j, tpar)+1)*10**8
  IDs[j] = ID
  if ID in d:
    d[ID] += 1
  else:
    d[ID] = 1

ans = ''
for j_ in range(n):
  if j_ != 0:
    ans += ' '
  ans += str(d[IDs[j_]])
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
import sys
input = sys.stdin.readline

class UnionFind():
  def __init__(self, n):
    self.n = n
    # n+1なのはノード番号とリストのインデックスを一致させるため
    # root[x]<0ならそのノードが根かつその絶対値が木の要素数
    self.root = [-1]*(n+1)
    self.rnk = [0]*(n+1)
  
  def Find_Root(self, x):
    if self.root[x] < 0:
      return x
    else:
      self.root[x] = self.Find_Root(self.root[x])
      return self.root[x]
    
  def Unite(self, x, y):
    x = self.Find_Root(x)
    y = self.Find_Root(y)
    if x == y:
      return
    elif(self.rnk[x] > self.rnk[y]):
      self.root[x] += self.root[y]
      self.root[y] = x
    else:
      self.root[y] += self.root[x]
      self.root[x] = y
      if self.rnk[x] == self.rnk[y]:
        self.rnk[y] += 1
 
  def isSameGroup(self, x, y):
    return self.Find_Root(x) == self.Find_Root(y)
  
  def Count(self, x):
    return -self.root[self.Find_Root(x)]
  
n, k, l = map(int, input().split())
UFd= UnionFind(n)
UFt= UnionFind(n)

for i in range(k):
  p, q = map(int, input().split())
  UFd.Unite(p, q)

for j in range(l):
  p, q = map(int, input().split())
  UFt.Unite(p, q)
  
ids = [0]*n
d = {}
for i in range(n):
  if UFd.root[i+1] < 0:
    idd = i+1
  else:
    idd = UFd.root[i+1]
  if UFt.root[i+1] < 0:
    idt = i+1
  else:
    idt = UFt.root[i+1]
  iddt = idd*10**6+idt
  ids[i] = iddt
  if iddt in d:
    d[iddt] += 1
  else:
    d[iddt] = 1
ans = ''
for i in range(n):
  if i != 0:
    ans += ' '
  ans += str(d[ids[i]])
print(ans)    

Fixed submission:
def Find(x, par):
  if par[x] < 0:
    return x
  else:
    # 経路圧縮
    par[x] = Find(par[x], par)
    return par[x]

def Unite(x, y, par, rank):
  x = Find(x, par)
  y = Find(y, par)
  
  if x != y:
    # rankの低い方を高い方につなげる
    if rank[x] < rank[y]:
      par[y] += par[x]
      par[x] = y
    else:
      par[x] += par[y]
      par[y] = x
      if rank[x] == rank[y]:
        rank[x] += 1
    
def Same(x, y, par):
  return Find(x, par) == Find(y, par)
 
def Size(x, par):
  return -par[Find(x)]

n, k, l = map(int, input().split())
rpar = [-1]* n
tpar = [-1]* n
rrank = [0]*n
trank = [0]*n

for i in range(k):
  p, q = map(int, input().split())
  p, q =p-1, q-1
  Unite(p,q, rpar, rrank) 

for i_ in range(l):
  p, q = map(int, input().split())
  p, q =p-1, q-1
  Unite(p,q, tpar, trank)

d = {}
IDs = [0]*n
for j in range(n):
  ID = Find(j, rpar)+(Find(j, tpar)+1)*10**8
  IDs[j] = ID
  if ID in d:
    d[ID] += 1
  else:
    d[ID] = 1

ans = ''
for j_ in range(n):
  if j_ != 0:
    ans += ' '
  ans += str(d[IDs[j_]])
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
import sys
input = sys.stdin.readline

class UnionFind():
  def __init__(self, n):
    self.n = n
    # n+1なのはノード番号とリストのインデックスを一致させるため
    # root[x]<0ならそのノードが根かつその絶対値が木の要素数
    self.root = [-1]*(n+1)
    self.rnk = [0]*(n+1)
  
  def Find_Root(self, x):
    if self.root[x] < 0:
      return x
    else:
      self.root[x] = self.Find_Root(self.root[x])
      return self.root[x]
    
  def Unite(self, x, y):
    x = self.Find_Root(x)
    y = self.Find_Root(y)
    if x == y:
      return
    elif(self.rnk[x] > self.rnk[y]):
      self.root[x] += self.root[y]
      self.root[y] = x
    else:
      self.root[y] += self.root[x]
      self.root[x] = y
      if self.rnk[x] == self.rnk[y]:
        self.rnk[y] += 1
 
  def isSameGroup(self, x, y):
    return self.Find_Root(x) == self.Find_Root(y)
  
  def Count(self, x):
    return -self.root[self.Find_Root(x)]
  
n, k, l = map(int, input().split())
UFd= UnionFind(n)
UFt= UnionFind(n)

for i in range(k):
  p, q = map(int, input().split())
  UFd.Unite(p, q)

for j in range(l):
  p, q = map(int, input().split())
  UFt.Unite(p, q)
  
ids = [0]*n
d = {}
for i in range(n):
  if UFd.root[i+1] > 0:
    idd = UFd.root[i+1]
  else:
    idd = i+1
  if UFt.root[i+1] > 0:
    idt = UFt.root[i+1]
  else:
    idt = i+1
  iddt = idd*10**6+idt
  ids[i] = iddt
  if iddt in d:
    d[iddt] += 1
  else:
    d[iddt] = 1
ans = ''
for i in range(n):
  if i != 0:
    ans += ' '
  ans += str(d[ids[i]])
print(ans)    

Fixed submission:
def Find(x, par):
  if par[x] < 0:
    return x
  else:
    # 経路圧縮
    par[x] = Find(par[x], par)
    return par[x]

def Unite(x, y, par, rank):
  x = Find(x, par)
  y = Find(y, par)
  
  if x != y:
    # rankの低い方を高い方につなげる
    if rank[x] < rank[y]:
      par[y] += par[x]
      par[x] = y
    else:
      par[x] += par[y]
      par[y] = x
      if rank[x] == rank[y]:
        rank[x] += 1
    
def Same(x, y, par):
  return Find(x, par) == Find(y, par)
 
def Size(x, par):
  return -par[Find(x)]

n, k, l = map(int, input().split())
rpar = [-1]* n
tpar = [-1]* n
rrank = [0]*n
trank = [0]*n

for i in range(k):
  p, q = map(int, input().split())
  p, q =p-1, q-1
  Unite(p,q, rpar, rrank) 

for i_ in range(l):
  p, q = map(int, input().split())
  p, q =p-1, q-1
  Unite(p,q, tpar, trank)

d = {}
IDs = [0]*n
for j in range(n):
  ID = Find(j, rpar)+(Find(j, tpar)+1)*10**8
  IDs[j] = ID
  if ID in d:
    d[ID] += 1
  else:
    d[ID] = 1

ans = ''
for j_ in range(n):
  if j_ != 0:
    ans += ' '
  ans += str(d[IDs[j_]])
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
import sys
input = sys.stdin.readline

class UnionFind():
  def __init__(self, n):
    self.n = n
    # n+1なのはノード番号とリストのインデックスを一致させるため
    # root[x]<0ならそのノードが根かつその絶対値が木の要素数
    self.root = [-1]*(n+1)
    self.rnk = [0]*(n+1)
  
  def Find_Root(self, x):
    if self.root[x] < 0:
      return x
    else:
      self.root[x] = self.Find_Root(self.root[x])
      return self.root[x]
    
  def Unite(self, x, y):
    x = self.Find_Root(x)
    y = self.Find_Root(y)
    if x == y:
      return
    elif(self.rnk[x] > self.rnk[y]):
      self.root[x] += self.root[y]
      self.root[y] = x
    else:
      self.root[y] += self.root[x]
      self.root[x] = y
      if self.rnk[x] == self.rnk[y]:
        self.rnk[y] += 1
 
  def isSameGroup(self, x, y):
    return self.Find_Root(x) == self.Find_Root(y)
  
  def Count(self, x):
    return -self.root[self.Find_Root(x)]
  
n, k, l = map(int, input().split())
UFd= UnionFind(n)
UFt= UnionFind(n)

for i in range(k):
  p, q = map(int, input().split())
  UFd.Unite(p, q)

for j in range(l):
  p, q = map(int, input().split())
  UFt.Unite(p, q)
  
ids = []
d = {}
for i in range(n):
  if UFd.root[i+1] > 0:
    idd = UFd.root[i+1]
  else:
    idd = i+1
  if UFt.root[i+1] > 0:
    idt = UFt.root[i+1]
  else:
    idt = i+1
  iddt = idd*10**6+idt
  ids.append(iddt)
  if iddt in d:
    d[iddt] += 1
  else:
    d[iddt] = 1
ans = ''
for i in range(n):
  if i != 0:
    ans += ' '
  ans += str(d[ids[i]])
print(ans)    

Fixed submission:
def Find(x, par):
  if par[x] < 0:
    return x
  else:
    # 経路圧縮
    par[x] = Find(par[x], par)
    return par[x]

def Unite(x, y, par, rank):
  x = Find(x, par)
  y = Find(y, par)
  
  if x != y:
    # rankの低い方を高い方につなげる
    if rank[x] < rank[y]:
      par[y] += par[x]
      par[x] = y
    else:
      par[x] += par[y]
      par[y] = x
      if rank[x] == rank[y]:
        rank[x] += 1
    
def Same(x, y, par):
  return Find(x, par) == Find(y, par)
 
def Size(x, par):
  return -par[Find(x)]

n, k, l = map(int, input().split())
rpar = [-1]* n
tpar = [-1]* n
rrank = [0]*n
trank = [0]*n

for i in range(k):
  p, q = map(int, input().split())
  p, q =p-1, q-1
  Unite(p,q, rpar, rrank) 

for i_ in range(l):
  p, q = map(int, input().split())
  p, q =p-1, q-1
  Unite(p,q, tpar, trank)

d = {}
IDs = [0]*n
for j in range(n):
  ID = Find(j, rpar)+(Find(j, tpar)+1)*10**8
  IDs[j] = ID
  if ID in d:
    d[ID] += 1
  else:
    d[ID] = 1

ans = ''
for j_ in range(n):
  if j_ != 0:
    ans += ' '
  ans += str(d[IDs[j_]])
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
class UnionFind():
  def __init__(self, n):
    self.n = n
    # n+1なのはノード番号とリストのインデックスを一致させるため
    # root[x]<0ならそのノードが根かつその絶対値が木の要素数
    self.root = [-1]*(n+1)
    self.rnk = [0]*(n+1)
  
  def Find_Root(self, x):
    if self.root[x] < 0:
      return x
    else:
      self.root[x] = self.Find_Root(self.root[x])
      return self.root[x]
    
  def Unite(self, x, y):
    x = self.Find_Root(x)
    y = self.Find_Root(y)
    if x == y:
      return
    elif(self.rnk[x] > self.rnk[y]):
      self.root[x] += self.root[y]
      self.root[y] = x
    else:
      self.root[y] += self.root[x]
      self.root[x] = y
      if self.rnk[x] == self.rnk[y]:
        self.rnk[y] += 1
 
  def isSameGroup(self, x, y):
    return self.Find_Root(x) == self.Find_Root(y)
  
  def Count(self, x):
    return -self.root[self.Find_Root(x)]
  
n, k, l = map(int, input().split())
UFd= UnionFind(n)
UFt= UnionFind(n)

for i in range(k):
  p, q = map(int, input().split())
  UFd.Unite(p, q)

for j in range(l):
  p, q = map(int, input().split())
  UFt.Unite(p, q)
  
ids = []
d = {}
for i in range(n):
  if UFd.root[i+1] > 0:
    idd = UFd.root[i+1]
  else:
    idd = i+1
  if UFt.root[i+1] > 0:
    idt = UFt.root[i+1]
  else:
    idt = i+1
  iddt = idd*10**6+idt
  ids.append(iddt)
  if iddt in d:
    d[iddt] += 1
  else:
    d[iddt] = 1
ans = ''
for i in range(n):
  if i != 0:
    ans += ' '
  ans += str(d[ids[i]])
print(ans)    

Fixed submission:
def Find(x, par):
  if par[x] < 0:
    return x
  else:
    # 経路圧縮
    par[x] = Find(par[x], par)
    return par[x]

def Unite(x, y, par, rank):
  x = Find(x, par)
  y = Find(y, par)
  
  if x != y:
    # rankの低い方を高い方につなげる
    if rank[x] < rank[y]:
      par[y] += par[x]
      par[x] = y
    else:
      par[x] += par[y]
      par[y] = x
      if rank[x] == rank[y]:
        rank[x] += 1
    
def Same(x, y, par):
  return Find(x, par) == Find(y, par)
 
def Size(x, par):
  return -par[Find(x)]

n, k, l = map(int, input().split())
rpar = [-1]* n
tpar = [-1]* n
rrank = [0]*n
trank = [0]*n

for i in range(k):
  p, q = map(int, input().split())
  p, q =p-1, q-1
  Unite(p,q, rpar, rrank) 

for i_ in range(l):
  p, q = map(int, input().split())
  p, q =p-1, q-1
  Unite(p,q, tpar, trank)

d = {}
IDs = [0]*n
for j in range(n):
  ID = Find(j, rpar)+(Find(j, tpar)+1)*10**8
  IDs[j] = ID
  if ID in d:
    d[ID] += 1
  else:
    d[ID] = 1

ans = ''
for j_ in range(n):
  if j_ != 0:
    ans += ' '
  ans += str(d[IDs[j_]])
print(ans)