
    Design a function that calculates the total weighted impact of key assessment checkpoints in a student's learning path, where the path contains n milestones and checkpoints occur at even-numbered milestones. The weight of each checkpoint is determined by its binomial coefficient based on its position in the learning sequence, and the function should return the sum of these checkpoint weights.
    

    
import math

def even_binomial_Coeff_Sum(n):
    """
    Design a function that calculates the total weighted impact of key assessment checkpoints in a student's learning path, where the path contains n milestones and checkpoints occur at even-numbered milestones. The weight of each checkpoint is determined by its binomial coefficient based on its position in the learning sequence, and the function should return the sum of these checkpoint weights.
    

    """
import math

def even_binomial_Coeff_Sum(n):
    """
    Design a function that calculates the total weighted impact of key assessment checkpoints in a student's learning path, where the path contains n milestones and checkpoints occur at even-numbered milestones. The weight of each checkpoint is determined by its binomial coefficient based on its position in the learning sequence, and the function should return the sum of these checkpoint weights.
    

    """
    return 1 << n - 1