How to resolve the algorithm Munchausen numbers step by step in the Julia programming language
Published on 22 June 2024 08:30 PM
How to resolve the algorithm Munchausen numbers step by step in the Julia programming language
Table of Contents
Problem Statement
A Munchausen number is a natural number n the sum of whose digits (in base 10), each raised to the power of itself, equals n. (Munchausen is also spelled: Münchhausen.) For instance: 3435 = 33 + 44 + 33 + 55
Find all Munchausen numbers between 1 and 5000.
Let's start with the solution:
Step by Step solution about How to resolve the algorithm Munchausen numbers step by step in the Julia programming language
The provided Julia code snippet is a one-liner that generates a list of numbers from 1 to 5000 and filters out the numbers that are equal to the sum of their digits raised to the power of their respective digits.
- The
digits
function takes a number as input and returns a vector of its individual digits. - The
^
operator is used to raise each digit to the power of itself. - The
sum
function is used to add up the results of the exponentiation. - The
==
operator is used to compare the sum of the exponentiated digits to the original number. - The
if
statement is used to filter out the numbers that do not satisfy the condition. - The filtered list is then passed to the
println
function to print it to the console.
Here is a breakdown of the code:
# Generate a list of numbers from 1 to 5000
numbers = 1:5000
# Filter out the numbers that are not equal to the sum of their digits raised to the power of their respective digits
filtered_numbers = [n for n in numbers if sum(d^d for d in digits(n)) == n]
# Print the filtered list to the console
println(filtered_numbers)
Source code in the julia programming language
println([n for n = 1:5000 if sum(d^d for d in digits(n)) == n])
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