
    Write a function that determines if a student should receive a challenge problem by checking whether their total number of correct answers results in an odd parity state. A student's performance score is represented by their correct answer count, and the system needs to quickly evaluate if this count has an odd number of 1s in its binary representation to trigger the adaptive difficulty adjustment.
    

    
def find_Parity(x):
    """
    Write a function that determines if a student should receive a challenge problem by checking whether their total number of correct answers results in an odd parity state. A student's performance score is represented by their correct answer count, and the system needs to quickly evaluate if this count has an odd number of 1s in its binary representation to trigger the adaptive difficulty adjustment.
    

    """
def find_Parity(x):
    """
    Write a function that determines if a student should receive a challenge problem by checking whether their total number of correct answers results in an odd parity state. A student's performance score is represented by their correct answer count, and the system needs to quickly evaluate if this count has an odd number of 1s in its binary representation to trigger the adaptive difficulty adjustment.
    

    """
    y = x ^ x >> 1
    y = y ^ y >> 2
    y = y ^ y >> 4
    y = y ^ y >> 8
    y = y ^ y >> 16
    if y & 1:
        return True
    return False