How to resolve the algorithm Index finite lists of positive integers step by step in the Scala programming language

Published on 12 May 2024 09:40 PM

How to resolve the algorithm Index finite lists of positive integers step by step in the Scala programming language

Table of Contents

Problem Statement

It is known that the set of finite lists of positive integers is   countable.
This means that there exists a subset of natural integers which can be mapped to the set of finite lists of positive integers.

Implement such a mapping:

Demonstrate your solution by:

There are many ways to do this.   Feel free to choose any one you like.

Make the   rank   function as a   bijection   and show   unrank(n)   for   n   varying from   0   to   10.

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Index finite lists of positive integers step by step in the Scala programming language

Source code in the scala programming language

object IndexFiniteList extends App {
  val (defBase, s) = (10, Seq(1, 2, 3, 10, 100, 987654321))

  def rank(x: Seq[Int], base: Int = defBase) =
    BigInt(x.map(Integer.toString(_, base)).mkString(base.toHexString), base + 1)

  def unrank(n: BigInt, base: Int = defBase): List[BigInt] =
    n.toString(base + 1).split((base).toHexString).map(BigInt(_)).toList

  val ranked = rank(s)

  println(s.mkString("[", ", ", "]"))
  println(ranked)
  println(unrank(ranked).mkString("[", ", ", "]"))

}


  

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