
    Design an algorithm to identify the longest streak of high performance across repeated assessment modules, where a student completes the same concept-based module k times and their performance scores are recorded sequentially. The goal is to find the maximum sum of consecutive performance scores that could span across module repetitions, helping identify the student's peak learning period and sustained mastery of concepts.
    

    
def max_sub_array_sum_repeated(a, n, k):
    """
    Design an algorithm to identify the longest streak of high performance across repeated assessment modules, where a student completes the same concept-based module k times and their performance scores are recorded sequentially. The goal is to find the maximum sum of consecutive performance scores that could span across module repetitions, helping identify the student's peak learning period and sustained mastery of concepts.
    

    """
def max_sub_array_sum_repeated(a, n, k):
    """
    Design an algorithm to identify the longest streak of high performance across repeated assessment modules, where a student completes the same concept-based module k times and their performance scores are recorded sequentially. The goal is to find the maximum sum of consecutive performance scores that could span across module repetitions, helping identify the student's peak learning period and sustained mastery of concepts.
    

    """
    max_so_far = -2147483648
    max_ending_here = 0
    for i in range(n * k):
        max_ending_here = max_ending_here + a[i % n]
        if max_so_far < max_ending_here:
            max_so_far = max_ending_here
        if max_ending_here < 0:
            max_ending_here = 0
    return max_so_far