How to resolve the algorithm Padovan n-step number sequences step by step in the Rust programming language

Published on 12 May 2024 09:40 PM
#Rust

How to resolve the algorithm Padovan n-step number sequences step by step in the Rust programming language

Table of Contents

Problem Statement

As the Fibonacci sequence expands to the Fibonacci n-step number sequences; We similarly expand the Padovan sequence to form these Padovan n-step number sequences. The Fibonacci-like sequences can be defined like this: For this task we similarly define terms of the first 2..n-step Padovan sequences as: The initial values of the sequences are:

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Padovan n-step number sequences step by step in the Rust programming language

Source code in the rust programming language

fn padovan(n: u64, x: u64) -> u64 {
    if n < 2 {
        return 0;
    }

    match n {
        2 if x <= n + 1 => 1,
        2 => padovan(n, x - 2) + padovan(n, x - 3),
        _ if x <= n + 1 => padovan(n - 1, x),
        _ => ((x - n - 1)..(x - 1)).fold(0, |acc, value| acc + padovan(n, value)),
    }
}
fn main() {
    (2..=8).for_each(|n| {
        print!("\nN={}: ", n);
        (1..=15).for_each(|x| print!("{},", padovan(n, x)))
    });
}

You may also check:How to resolve the algorithm Tree traversal step by step in the Objeck programming language
You may also check:How to resolve the algorithm Strip control codes and extended characters from a string step by step in the Ruby programming language
You may also check:How to resolve the algorithm Character codes step by step in the Python programming language
You may also check:How to resolve the algorithm Vector step by step in the Raku programming language
You may also check:How to resolve the algorithm AKS test for primes step by step in the Tcl programming language