Practice on Toph

Participate in exhilarating programming contests, solve unique algorithm and data structure challenges and be a part of an awesome community.

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=a1a2  ,where a1,a2>0 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

Discussion

Statistics


99% Solution Ratio

prodip_bsmrstuEarliest, Dec '18

prodip_bsmrstuFastest, 0.0s

riadroxLightest, 0 B

mdvirusShortest, 15B

Submit

Login to submit

Editorial

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

Toph uses cookies. By continuing you agree to our Cookie Policy.