
    Given a list of delivery time estimates for different route segments, determine the optimal combination of progressively longer segments that yields the maximum delivery efficiency score, calculated as the product of their time estimates. The route segments must be selected in increasing order of duration to ensure a logical progression through the delivery network.
    

    
def max_product(arr):
    """
    Given a list of delivery time estimates for different route segments, determine the optimal combination of progressively longer segments that yields the maximum delivery efficiency score, calculated as the product of their time estimates. The route segments must be selected in increasing order of duration to ensure a logical progression through the delivery network.
    

    """
def max_product(arr):
    """
    Given a list of delivery time estimates for different route segments, determine the optimal combination of progressively longer segments that yields the maximum delivery efficiency score, calculated as the product of their time estimates. The route segments must be selected in increasing order of duration to ensure a logical progression through the delivery network.
    

    """
    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)