Problem: We have one slime.  You can set the _health_ of this slime to any integer value of your choice.  A slime reproduces every second by spawning another slime that has strictly less health. You can freely choose the health of each new slime. The first reproduction of our slime will happen in one second.  Determine if it is possible to set the healths of our first slime and the subsequent slimes spawn so that the multiset of the healths of the 2^N slimes that will exist in N seconds equals a multiset S.  Here S is a multiset containing 2^N (possibly duplicated) integers: S_1,~S_2,~...,~S_{2^N}.

Submission attempts (in order):
N = int(input())
S = list(map(int,input().split()))
S.sort()

parents = [(S.pop(),N)]

flg = True
while parents and flg:
    s,n = parents.pop()
    for i in range(1,n+1):
        x = S.pop()
        if s > x and n-i != 0:
            parents.append((x,n-i))
            print(parents)
        elif s <= x:
            flg = False
            break
    parents = parents[::-1]
 
if flg:
    print('Yes')
else:
    print('No')
    



N = int(input())
a = list(map(int,input().split(' ')))
a.sort(reverse=True)

before = 0
flg = True
for i in range(N + 1):
    index = 2**i - 1
    what = a[index]
    
    ab = a[0:index]
    how_many = bisect.bisect_right(ab, what) - bisect.bisect_left(ab, what)
    if  how_many > index/2:
        flg = False
    else:
        pass
  
if flg:
    print('Yes')
else:
    print('No')


from queue import Queue

N = int(input())
S = list(map(int,input().split()))
S.sort()

parents = Queue()
parents.put((S.pop(),N))

flg = True
while parents and flg:
    s,n = parents.get()
    for i in range(1,n+1):
        x = S.pop()
        if s > x and n-i != 0:
            parents.put((x,n-i))
        elif s <= x:
            flg = False
            break
 
if flg:
    print('Yes')
else:
    print('No')

import bisect

N = int(input())
a = list(map(int,input().split(' ')))
a.sort()

def do(n,fathers):
       
    if n == N:
        return
    
    for father in fathers:
        son = a.pop(bisect.bisect_left(a,father)-1)
        if son >= father:
            return
        else:
            fathers.append(son)
            
    do(n+1,fathers)
    


fathers = [a.pop()]
do(0, fathers) 
if len(fathers) == 2**N:
    print('Yes')
else:
    print('No')


import bisect

N = int(input())
a = list(map(int,input().split(' ')))
a.sort(reverse=True)

# print(a)


def do(index,father):
    result = True
    
    if len(a) == 0 :
        return True
    
    son = a.pop(bisect.bisect_left(a,father)-1)
    
#     print(father,son,index)
    
    if father > son:
        result = do(index*2,son) and result
        result =do(index*2 + 1,son) and result
    else:
        return False
    
    return result
        
if do(1,10**9 + 1):
    print('Yes')
else:
    print('No')


N = int(input())
a = list(map(int,input().split(' ')))
a.sort(True)
 
 
fathers = [a.pop()]
for _ in range(N):
    sons = list()
    b = list()

    for father in fathers:
        while a:
            x = a.pop()
            if father > x:
                sons.append(x)
                break
            else:
                b.append(x)
                
    a = a + b[::-1]
    fathers.extend(sons)
    fathers.sort(reverse = True)
    


if len(fathers) == 2**N:
    print('Yes')
else:
    print('No')


N = int(input())
S = list(map(int,input().split()))
S.sort()

parents = [(S.pop(),N)]

flg = True
while parents and flg:
    s,n = parents.pop(0)
    for i in range(1,n+1):
        x = S.pop()
        if s > x and n-i != 0:
            parents.append((x,n-i))
            
        elif s <= x:
            flg = False
            break
    print(parents)
    print(S)
 
if flg:
    print('Yes')
else:
    print('No')
    

import bisect

N = int(input())
a = list(map(int,input().split(' ')))
a.sort(reverse=True)

flg = True
for i in range(N):
    index = 2**(i) - 1
    what = a[index]
    
    ab = a[0:(index + 1)*2]
    ab.sort()
    how_many = bisect.bisect_right(ab, what) - bisect.bisect_left(ab, what)
    
    print(what,ab,how_many,(index + 1)*2)
    if  how_many > (index + 1):
        flg = False
        break
    else:
        pass
  
if flg:
    print('Yes')
else:
    print('No')





import bisect

N = int(input())
a = list(map(int,input().split(' ')))
length = len(a)
a.sort()


def do(index,father):
    result = True
    
    if index >= length:
        return True
    
    if len(a) == 0 :
        return True
    
    son = a.pop(bisect.bisect_left(a,father)-1)
    
    print(father,son,index)
    
    if father > son:
        result = do(index*2,father) and result
        result =do(index*2 + 1,son) and result
    else:
        return False
    
    return result
        
if do(1,a.pop(bisect.bisect_left(a,10**9 + 1)-1)):
    print('Yes')
else:
    print('No')

import bisect
 
N = int(input())
a = list(map(int,input().split(' ')))
a.sort(reverse = True)
 
 
fathers = [a.pop(0)]
for _ in range(N):
    sons = list()
    index = 0
    for i in a:
        if fathers[index] > i:
            a.remove(i)
            sons.append(i)
            index += 1
        if index > len(fathers) - 1:
            break


if len(fathers) == 2**N:
    print('Yes')
else:
    print('No')



N = int(input())
a = list(map(int,input().split(' ')))
a.sort()
 
 
fathers = [a.pop()]
for _ in range(N):
    sons = list()
    b = list()

    for father in fathers:
        while a:
            x = a.pop()
            if father > x:
                sons.append(x)
                break
            else:
                b.append(x)
                
    a = a + b[::-1]
    fathers.extend(sons)
    fathers.sort(reverse = True)
    


if len(fathers) == 2**N:
    print('Yes')
else:
    print('No')


Verdicts: Wrong Answer

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Runtime Error

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Accepted