human
Give me a the Python program you requested given the following:
I found an interesting problem on https://leetcode.com/problems/divisor-game/:
Alice and Bob take turns playing a game, with Alice starting first.
Initially, there is a number N on the chalkboard.  On each player's turn, that player makes a move consisting of:

Choosing any x with 0 < x < N and N % x == 0.
Replacing the number N on the chalkboard with N - x.

Also, if a player cannot make a move, they lose the game.
Return True if and only if Alice wins the game, assuming both players play optimally.
 


Example 1:
Input: 2
Output: true
Explanation: Alice chooses 1, and Bob has no more moves.

Example 2:
Input: 3
Output: false
Explanation: Alice chooses 1, Bob chooses 1, and Alice has no more moves.

 
Note:

1 <= N <= 1000

I tried it in Python, but could not do it. Can you solve it?
assistant
#Here is the Python program you requested.

class Solution:
    
    #this function will return all the possible nums after one move
    
    
    def divisorGame(self, N: int) -> bool:
        
        
        return N & 1 == 0