## NG0FRCTN - Fractions on Tree

A fraction tree is an infinite binary tree  defined as follows:

1)Every node of tree contains a fraction

2)Root of tree contains the fraction 1/1

3)Any node with fraction i/j has two children : left child with fraction i/(i+j) and right child with fraction (i+j)/j

For example , fraction tree upto 3 levels is as shown:

We number the nodes according to increasing levels ( root is at level 1) and at any same level , nodes are numbered from left to right. So first node holds the fraction 1/1 , second one holds 1/2 , third one holds 2/1 fourth one holds 1/3 and so on.

Your task is simple. Given a number n , you are to find the fraction at the nth node.

### Input

Every line of the input contains a single number n. You are to find the fraction at nth node of fraction tree. Input file terminates with a 0 which is not to be processed.

### Output

For each input , print numerator and denominator of the lowest form of the fraction seperated by a /. Output of each case to be done in seperate lines.

### Example

`Input:12370Output:1/11/22/13/1Constraints : 1<= # of test cases <=30000  1<=N<=10^10`
1
1
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2
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1 %
3
u
A
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2
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3
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4
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4
3
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3
5
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5
2
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2
5
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5
3
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3
4
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4
1
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