
    Calculate the total connection strength score in a friend recommendation system by summing the fifth power of the first n even-numbered bilateral relationship scores. The bilateral relationship scores are natural numbers representing the strength of mutual connections between users, and only balanced relationships (represented by even numbers) are considered for the recommendation algorithm.
    

    
def even_Power_Sum(n):
    """
    Calculate the total connection strength score in a friend recommendation system by summing the fifth power of the first n even-numbered bilateral relationship scores. The bilateral relationship scores are natural numbers representing the strength of mutual connections between users, and only balanced relationships (represented by even numbers) are considered for the recommendation algorithm.
    

    """
def even_Power_Sum(n):
    """
    Calculate the total connection strength score in a friend recommendation system by summing the fifth power of the first n even-numbered bilateral relationship scores. The bilateral relationship scores are natural numbers representing the strength of mutual connections between users, and only balanced relationships (represented by even numbers) are considered for the recommendation algorithm.
    

    """
    sum = 0
    for i in range(1, n + 1):
        j = 2 * i
        sum = sum + j * j * j * j * j
    return sum