Consider the following "magic" 3-gon ring, filled with the numbers 1 to 6, and each line adding to nine.
Working clockwise, and starting from the group of three with the numerically lowest external mode (4, 3, 2 in this example), each solution can be described uniquely. For example, the above solution can be described by the set: 4,3,2; 6,2,1; 5,1,3.
It is possible to complete the ring with four different totals: 9, 10, 11 and 12. There are eight solutions in total.
Total 9 - Solution Set 4,2,3; 5,3,1; 6,1,2; 4,3,2; 6,2,1; 5,1,3
Total 10 - Solution Set 2,3,5; 4,5,1; 6,1,3; 2,5,3; 6,3,1; 4,1,5
Total 11 - Solution Set 1,4,6; 3,6,2; 5,2,4; 1,6,4; 5,4,2; 3,2,6
Total 12 - Solution Set 1,5,6; 2,6,4; 3,4,5; 1,6,5; 3,5,4; 2,4,6
By concatenating each group, it is possible to form 9-digit strings, the maximum string for a 3-gon ring is 432621513.
Using the numbers 1 to 10, and depending on arrangements, it is possible to form 16- and 17-digit strings. What is the maximum 16-digit string for a "magic" 5-gon ring?
Information at Project Euler 068
Getting Started
Select the Show Solution button to show the solution. Select the Hide Solution button to hide the solution.
User Stories
As a user, I can show or hide the solution by selecting the appropriate button.
As a user, I expect the function magic5GonRing() to return a number.
As a user, I expect the function magic5GonRing() to return 6531031914842725.
User Stories on function magic5GonRing() taken from FreeCodeCamp - Coding Interview Prep - Project Euler 068
Information Architecture
The function magic5GonRing() returns a number.
Allows the user to show or hide the solution to the problem as described in Project Euler 068.
Uses HTML5, CSS3, JavaScript, Bootstrap 5.2.3 and Google Fonts.
Ensure all user stories have been met.
Deployed on GitHub Pages at the main branch.
Written by me.
Image created on Freeform. A screenshot has been taken while using Freeform.