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Find the Secret Rule!

This is a codecheck challenge.
If this is your first time, check out the tutorial :-)

There is a secret method that returns the below results:

If this method receives '1', it should return '1'. If it receives '2', it should return '11'.
If it receives '3', it should return '21', and so on.

1 -> 1
2 -> 11
3 -> 21
4 -> 1211
5 -> 111221
6 -> 312211
7 -> 13112221

Your Mission

Identify the rule of this sequence and implement the function.

Implementation

CLI

Build the solution as a CLI application.
Input parameters will be passed as an argument of CLI, and the output should be written to stdout. How to make a CLI application with each language is explained in [YOUR LANGUAGE].md

Rules

  • This CLI app will receive only 1 arg consisting of an integer.
  • The CLI app will never receive incorrect parameters.
  • Process the integer based on the secret rule, and output the result in integer form to stdout.
  • You are permitted to search online for the secret sequence.
  • You may not use an external library for this challenge.

Sample I/O

$ secret_rule 2
11

For reference, some of the expected I/O can be seen in the test/ directory.

More Homework!

As an additional task, find the initial 500 digits of the expected output, when the input is an integer of '10000'. Write this in the first line of longOutput.txt. If your implementation is too earnest, the last question will eat up all of your memory! :( Try to find a way to optimize.

PS: This secret test will run only when the challenge is submitted, and the results are never shown in the WebEditor.

Answer.md

In answer.md write a brief explanation about:

  • How your code works
  • Problems faced while solving the challenge
  • How you solved those problems