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def convert(numerator, denominator): to_str = lambda L: ''.join(map(str, L)) decimals, remains = [], [] integer, remain = numerator // denominator, numerator % denominator remains.append(remain) while True: quotient, remain = remain * 10 // denominator, remain * 10 % denominator decimals.append(quotient) if not remain: # doesn't repeat if sum(decimals): return '{}.{}'.format(integer, to_str(decimals)) else: return '{}.'.format(integer) if remain in remains: # repeat found repeat_start = remains.index(remain) non_repeat, repeat = decimals[:repeat_start], decimals[repeat_start:] return '{}.{}'.format( integer, to_str(non_repeat) + '({})'.format(to_str(repeat)) ) else: remains.append(remain) if __name__ == '__main__': #These "asserts" using only for self-checking and not necessary for auto-testing assert convert(1, 3) == "0.(3)", "1/3 Classic" assert convert(5, 3) == "1.(6)", "5/3 The same, but bigger" assert convert(3, 8) == "0.375", "3/8 without repeating part" assert convert(7, 11) == "0.(63)", "7/11 prime/prime" assert convert(29, 12) == "2.41(6)", "29/12 not and repeating part" assert convert(11, 7) == "1.(571428)", "11/7 six digits" assert convert(0, 117) == "0.", "Zero" |