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For Loop FTW

By flash_7 · Limits 1s, 512 MB

You are given an integer N which can be represnted as the product of two positive integers.

$ N = a_1 * a_2 \; , \text{where } a_1, a_2 > 0$

It is guaranteed that there will be at least 1 such representation of N.

Among all the possible pairs of (a1, a2) choose the one which maximizes (a1 + a2).

You have to print that maximum value of (a1 + a2).

For example, you can represent 12 as following pairs: (1, 12) , (2, 6), (3, 4).

So, the answer for 12 would be 1+12 = 13.

Input

You’ll be given an integer N (1 ≤ N ≤ 100000).

Output

Print a single integer representing the above mentioned answer.

Sample

InputOutput
12
13


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