# Practice on Toph

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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

### Statistics

99% Solution Ratio

prodip_bsmrstuEarliest, Dec '18

prodip_bsmrstuFastest, 0.0s

mdvirusShortest, 15B

### Submit

It is trivial that the answer would be simply $N+1$. You can also factorize $N$ and find the maximu... 