def find_min(start, array_to_search):
    """
    Finds the index of the minimum value in a list after position at the start.
    """
    curr_min_index, curr_min_value = float('Infinity'), float('Infinity')
    for i in range(start, len(array_to_search)):
        if array_to_search[i] < curr_min_value:
            curr_min_index = i
            curr_min_value = array_to_search[i]
    return curr_min_index