Problems
Fractions to Decimals
Fractions to Decimals
Write a program that will accept a fraction of the form N/D, where N is the numerator and D is the denominator and print the decimal representation. If the decimal representation has a repeating sequence of digits, indicate the sequence by enclosing it in brackets. For example, 1/3 = .33333333… is denoted as 0.(3), and 41/333 = 0.123123123… is denoted as 0.(123). Use xxx.0 to denote an integer. Typical conversions are:
1/3 = 0.(3)22/5 = 4.41/7 = 0.(142857)2/2 = 1.03/8 = 0.37545/56 = 0.803(571428)
Input data
A single line with two space separated integers, N and D, 1 ≤ N, D ≤ 100000.
Output data
The decimal expansion, as detailed above. If the expansion exceeds 76 characters in length, print it on multiple lines with 76 characters per line.
Examples
Input example #1
45 56
Output example #1
0.803(571428)