roman_symbol = [
        [ "IV", 4   ],
        [ "IX", 9   ],
        [ "XL", 40  ],
        [ "XC", 90  ],
        [ "CD", 400 ],
        [ "CM", 900 ],
        [ "I",  1   ],
        [ "V",  5   ],
        [ "X",  10  ],
        [ "L",  50  ],
        [ "C",  100 ],
        [ "D",  500 ],
        [ "M",  1000]
]

# Convert an integer to its roman representation as string
def int_to_roman(i):
    s = ""
    for rs in sorted(roman_symbol, key=lambda x: x[1], reverse=True):
        count = i // rs[1]
        s += rs[0] * count
        if count > 0:
            i %= rs[1] * count

    return s

# Convert a roman number to its integer value; return 0 on error
def roman_to_int(s):
    i = 0
    su = s.upper()
    while len(su) > 0:
        for rs in roman_symbol:
            if su.startswith(rs[0]):
                break
        else:
            return 0

        i += rs[1]
        su = su.removeprefix(rs[0])

    if s.upper() != int_to_roman(i):
        return 0

    return i