Maximize It!

Given two integers $n$ and $m$, find a real number $a$ such that the value of $f(1/2+a)$ is maximized. It is known that

It can be proven that the maximum value of the function $f(t)$ is rational. Print this value in the form of an irreducible fraction.

Input

Contains no more than $10^4$ test cases. Each test case consists of a single line containing two integers $n$ and $m(1\le n,m\le 10^9)$.

Output

For each test case, print the maximum value of $f(1/2+a)$ in the form of an irreducible fraction $p/q$, where $q>0$.

Examples

In the first test case, $a=0$ maximizes the function.