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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