Step by Step solution about How to resolve the algorithm Mutual recursion step by step in the JavaScript programming language

The provided source code demonstrates a pair of recursive functions, f and m, and their application with the range function. A brief overview of each component:

1. f and m Functions:

   • Both f and m are recursive functions that take a single integer num as input.
   • f calculates values based on num and calls m recursively.
   • m calculates values based on num and calls f recursively.

2. range Function:

   • The range function generates an array of integers between two specified range values, m and n.

3. Array Manipulation:

   • After defining the range function, the code creates an array a containing integers from 0 to 19 inclusive.
   • Two arrays are created by applying map on a, each containing the results of applying f and m to each element of a.

4. Output:

   • The code prints the results of applying f and m to the elements of a, separated by commas.

5. Arrow Functions (Optional Variant):

   • The second part of the code demonstrates using arrow functions for f, m, and range.
   • Arrow functions provide a concise syntax for defining functions, often replacing the traditional function keyword and the return statement.

In summary, the code uses recursive functions f and m to calculate sequences of values within a specified range, demonstrating recursion and the use of arrow functions for function definition.

function f(num) {
 return (num === 0) ? 1 : num - m(f(num - 1));
}

function m(num) {
 return (num === 0) ? 0 : num - f(m(num - 1));
}

function range(m, n) {
  return Array.apply(null, Array(n - m + 1)).map(
    function (x, i) { return m + i; }
  );
}

var a = range(0, 19);

//return a new array of the results and join with commas to print
console.log(a.map(function (n) { return f(n); }).join(', '));
console.log(a.map(function (n) { return m(n); }).join(', '));


var f = num => (num === 0) ? 1 : num - m(f(num - 1));
var m = num => (num === 0) ? 0 : num - f(m(num - 1));

function range(m, n) {
  return Array.apply(null, Array(n - m + 1)).map(
    function (x, i) { return m + i; }
  );
}

var a = range(0, 19);

//return a new array of the results and join with commas to print
console.log(a.map(n => f(n)).join(', '));
console.log(a.map(n => m(n)).join(', '));


var range = (m, n) => Array(... Array(n - m + 1)).map((x, i) => m + i)