
    Design an algorithm that analyzes a sequence of student performance scores to determine the optimal difficulty progression for future assignments by finding the highest achievable challenge level, calculated as the product of scores from any continuously improving performance streak. The algorithm should identify the subsequence of scores that shows consistent improvement (each number greater than the previous) and produces the maximum product when multiplied together.
    

    
def max_product(arr):
    """
    Design an algorithm that analyzes a sequence of student performance scores to determine the optimal difficulty progression for future assignments by finding the highest achievable challenge level, calculated as the product of scores from any continuously improving performance streak. The algorithm should identify the subsequence of scores that shows consistent improvement (each number greater than the previous) and produces the maximum product when multiplied together.
    

    """
def max_product(arr):
    """
    Design an algorithm that analyzes a sequence of student performance scores to determine the optimal difficulty progression for future assignments by finding the highest achievable challenge level, calculated as the product of scores from any continuously improving performance streak. The algorithm should identify the subsequence of scores that shows consistent improvement (each number greater than the previous) and produces the maximum product when multiplied together.
    

    """
    n = len(arr)
    mpis = arr[:]
    for i in range(n):
        current_prod = arr[i]
        j = i + 1
        while j < n:
            if arr[j - 1] > arr[j]:
                break
            current_prod *= arr[j]
            if current_prod > mpis[j]:
                mpis[j] = current_prod
            j = j + 1
    return max(mpis)