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):
print("No")

a

import sys
from collections import deque
input = sys.stdin.readline

class Node:
    def __init__(self, num, parent=None):
        self.num = num
        self.parent = parent
        self.hp = 0

def main():
    N = int(input())
    a= sorted(list(map(int, input().split())), reverse=True)
    # print(a)

    root = Node(N)
    q = deque()
    count = 0
    ok = True
    q.append(root)
    while len(q) > 0:
        node = q.popleft()
        
        node.hp = a[count]
        print(node.num, node.hp, a[count])
        count += 1
        
        if node.parent != None:
            print(node.parent.hp, node.hp)
            if node.parent.hp < node.hp:
                ok = False
                break
        
        for i in range(node.num):
            child = Node(node.num-1-i, parent=node)
            q.append(child)
    
    if ok:
        print("Yes")
    else:
        print("No")

if __name__ == "__main__":
    main()

import sys
from collections import deque
input = sys.stdin.readline

class Node:
    def __init__(self, num, parent=None):
        self.num = num
        self.parent = parent
        self.hp = 0

def main():
    N = int(input())
    a= sorted(list(map(int, input().split())), reverse=True)
    # print(a)

    root = Node(N)
    q = deque()
    count = 0
    ok = True
    q.append(root)
    while len(q) > 0:
        node = q.popleft()
        
        node.hp = a[count]
        print(node.num, node.hp, a[count])
        count += 1
        
        if node.parent != None:
            print(node.parent.hp, node.hp)
            if node.parent.hp == node.hp:
                ok = False
                break
        
        for i in range(node.num):
            child = Node(node.num-1-i, parent=node)
            q.append(child)
    
    if ok:
        print("Yes")
    else:
        print("No")

if __name__ == "__main__":
    main()


import sys
input = sys.stdin.readline

def main():
    N = int(input())
    s = sorted(list(map(int, input().strip().split())), reverse=True)
    check = [False] * (2**N)
    now = []
    now.append([s[0], 1])
    check[0] = True
    ok = True
    for i in range(N):
        next_ = []
        tmp = 0
        for j in range(len(now)):
            hp, start = now[j]
            start = max(start, tmp)
            ok = False
            for k in range(start, 2**N):
                if s[k] < hp and not check[k]:
                    tmp = k+1
                    now[j][1] = k+1
                    check[k] = True
                    next_.append([s[k], k+1])
                    ok = True
                    break
            if not ok:
                break
        now += next_
        now = sorted(now, reverse=True)
        if not ok:
            break
    
    if ok:
        print("Yes")
    else:
        print("No")

if __name__ == "__main__":
    main()


Verdicts: Wrong Answer

Runtime Error

Wrong Answer

Wrong Answer

Accepted