SUMFRAC - Sum of fractions

no tags 

I'm So Random

Description

Given a list of rational numbers, find the sum in reduced form. A positive fraction is in reduced form if the numerator and denominator are positive integers that have no common divisors greater than 1. (For example, 2/4 in reduced form is 1/2).

Input

The first line is an integer N. (0 < N <= 5)
The next N lines will contain a rational number in the form A/B, where A and B are positive integers less than 500.

Output

Print the sum of the numbers in reduced form.

Examples

Input Input Input
2
1/2
1/3
2
5/10
2/6
3
3/4
6/5
342/8
Output Output Output
5/6
5/6
447/10


Added by:BYU Admin
Date:2015-11-05
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64 MAWK BC NCSHARP COFFEE DART FORTH GOSU JS-MONKEY JULIA KTLN OCT PROLOG PYPY3 R RACKET SQLITE SWIFT UNLAMBDA