
    Design an algorithm to determine the number of possible personalized learning sequences where each learning module can be taught using one of the available teaching methods, with the constraint that no more than two consecutive modules can use the same teaching approach to maintain student engagement. Given n learning modules and k teaching methods, calculate the total number of valid learning path combinations.
    

    
def count_no_of_ways(n, k):
    """
    Design an algorithm to determine the number of possible personalized learning sequences where each learning module can be taught using one of the available teaching methods, with the constraint that no more than two consecutive modules can use the same teaching approach to maintain student engagement. Given n learning modules and k teaching methods, calculate the total number of valid learning path combinations.
    

    """
def count_no_of_ways(n, k):
    """
    Design an algorithm to determine the number of possible personalized learning sequences where each learning module can be taught using one of the available teaching methods, with the constraint that no more than two consecutive modules can use the same teaching approach to maintain student engagement. Given n learning modules and k teaching methods, calculate the total number of valid learning path combinations.
    

    """
    dp = [0] * (n + 1)
    total = k
    mod = 1000000007
    dp[1] = k
    dp[2] = k * k
    for i in range(3, n + 1):
        dp[i] = (k - 1) * (dp[i - 1] + dp[i - 2]) % mod
    return dp[n]