def numerals_To_Integer(numeral):
    #Precondition:  numeral must be <= 4000
    #Postcondition: returns string representing Roman numeral
    numerals = {'I': 1, 'V':5, 'X': 10, 'L':50, 'C': 100, 'D':500, 'M':1000}

    return sum([numerals[x] for x in numeral])


def integer_To_Numerals(integer):
    #Precondition:  integer must be <= 4000
    #Postcondition: returns string representing Roman numeral


    if int(integer) > 4000:
        raise IllegalArgumentException('must be less than 4000')

    reversed_numerals = {1:'I', 5:'V', 10:'X', 50:'L', 100:'C', 500:'D', 1000:'M'}

    tens = [1,10,100,1000]
    fives = [5,50,500]
    numerals = ''
    for i in reversed(range(0, len(integer))):
        current_pos = len(integer) - i -1
        current = int(integer[i]);

        if (current == 5):
            numerals += reversed_numerals[fives[current_pos]]

        if (current < 5):
            numerals += ''.join([reversed_numerals[tens[current_pos]] for x in range(0, current) ])

        if current > 5:
            current = current - 5
            numerals += ''.join([reversed_numerals[tens[current_pos]] for x in range(0, current) ])
            numerals += reversed_numerals[fives[current_pos]]




    return numerals[::-1]

def testNumeral():
    test_data = [i for i in range(1,4000)]
    for i in test_data:

        if ( numerals_To_Integer(integer_To_Numerals(str(i))) ):
            print('i is: ', i)
            print('Correct')


testNumeral()