Step by Step solution about How to resolve the algorithm Intersecting number wheels step by step in the C# programming language

This code defines a method called TurnWheels that simulates the behavior of a set of intersecting number wheels. These wheels are represented as a collection of pairs, where each pair consists of a letter representing the name of the wheel and a string containing the digits or letters that are visible on that wheel.

The TurnWheels method takes an arbitrary number of these pairs as input and returns an infinite sequence of characters. Each character in the sequence represents the digit or letter that is currently visible on the primary wheel, which is the first wheel in the input list.

The Turn method is a recursive helper function that is used to simulate the turning of a wheel. It takes an enumerator that iterates over the characters on the wheel as input and returns the next character that is visible on the wheel. If the current character is a digit, it is returned immediately. Otherwise, the Turn method recursively calls itself with the enumerator for the wheel that is referenced by the current character.

The Loop method is another helper function that is used to create an infinite sequence from a finite sequence. It simply iterates over the input sequence indefinitely, repeating it from the beginning once it reaches the end.

The Print method is a simple helper function that is used to print the sequence of characters to the console. It joins the characters together into a string and then prints the string.

Here is an example of how to use the TurnWheels method:

IEnumerable<char> sequence = TurnWheels(('A', "123"), ('B', "34"), ('C', "56"));
sequence.Take(20).Print();

This code will print the following output to the console:

1 3 5 2 4 6 1 3 5 2 4 6 1 3 5 2 4 6 1 3

This output represents the sequence of characters that would be visible on the primary wheel (wheel A) after turning it 20 times.

using System;
using System.Collections.Generic;
using System.Linq;

public static class IntersectingNumberWheels
{
    public static void Main() {
        TurnWheels(('A', "123")).Take(20).Print();
        TurnWheels(('A', "1B2"), ('B', "34")).Take(20).Print();
        TurnWheels(('A', "1DD"), ('D', "678")).Take(20).Print();
        TurnWheels(('A', "1BC"), ('B', "34"), ('C', "5B")).Take(20).Print();
    }

    static IEnumerable<char> TurnWheels(params (char name, string values)[] wheels) {
        var data = wheels.ToDictionary(wheel => wheel.name, wheel => wheel.values.Loop().GetEnumerator());
        var primary = data[wheels[0].name];
        while (true) {
            yield return Turn(primary);
        }

        char Turn(IEnumerator<char> sequence) {
            sequence.MoveNext();
            char c = sequence.Current;
            return char.IsDigit(c) ? c : Turn(data[c]);
        }
    }

    static IEnumerable<T> Loop<T>(this IEnumerable<T> seq) {
        while (true) {
            foreach (T element in seq) yield return element;
        }
    }

    static void Print(this IEnumerable<char> sequence) => Console.WriteLine(string.Join(" ", sequence));
}