You are given two fractions: 0/1 and 1/2. In each step, you will get two adjacent fractions and you need to add them, if and only if, the denominator is equal to or smaller than the number obtained in that step and write it between those two adjacent fractions.

Example:

Step 1: 0/1,1/2

Step 2: 0/1,1/2

Step 3: 0/1,1/3,1/2 and so on

The add operator is defined as follows:

If (a/b) and (c/d) is added, then the sum is (a+c)/(b+d) which means that their numerators and denominators both are added to each other.

You have to find the k^th fraction in the n^th step.

Note: You will be given the values of n and k

Input format

First line: Two integers n and k (1<n<=100000 ) where n is the number of steps. It is guaranteed that there is at least k numbers written in n^th step.

Output format

Print the answer in the format (int)/(int), like 3/5.