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Dynamic Programming

Question Solve Solutions

1. You are given a number N.
2. You have to print exactly N number of 'X' on a notepad by performing the minimum number of operations.
3. Operations allowed are - 
   copyAll -&gt; You can copy all the characters present on the notepad.
   Paste -&gt; You can paste the last copied characters.
4. You have to find the minimum number of operations to get N 'X'.

Note -&gt; Initially, one 'X' is present on the screen.

Input Format

A number

Output Format

Check the sample output and question video.

Constraints

1 &lt;= N &lt;= 1000

Example

Input

Output

Arithmetic Slices 2

Highway Billboard

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