Step by Step solution about How to resolve the algorithm General FizzBuzz step by step in the Mathematica/Wolfram Language programming language

Source Code Breakdown:

1. Creating a List of Rules:

list={{5,"Buzz"},{3,"Fizz"},{7,"Baxx"}}

This list defines a set of rules that specify which strings to print for specific numbers. For example, the rule {5,"Buzz"} says that when the number is divisible by 5, the string "Buzz" should be printed.

2. Calculating the Run-To Value:

runTo=(*LCM@@list[[All,1]]+1*)20

The runTo variable determines the highest number up to which the loop will run. It is calculated as the least common multiple (LCM) of all the numbers in the list, plus one (to include the largest number itself). The (* ... *) notation is used to suppress the output of the LCM calculation.

3. Table Creation:

Column@Table[
Select[list,Mod[x,#[[1]]]==0&][[All,2]]/.{}->{x}
,{x,1,runTo}
]

This code uses the Table function to create a table of output values. The x variable ranges from 1 to runTo. For each value of x, the Select function is used to find all rules in the list where the number x is divisible by the rule's first element (e.g., Mod[x,5]==0). If any matches are found, their second elements (e.g., "Buzz") are selected using [[All,2]]. If no matches are found, an empty list {} is selected.

The /.{}->{x} expression replaces any empty lists with the current value of x.

4. Column Output:

The resulting table is then displayed as a column using the Column function. This arranges the output values vertically, making it easy to read the results.

Output Explanation:

For each number in the range 1 to 20, the program checks if it is divisible by any of the numbers in the list. If it is, the corresponding string from the list is printed. If not, the number itself is printed.

Here is the output for the given list and runTo value of 20:

1
2
Fizz
4
Buzz
Fizz
Baxx
8
Fizz
Buzz
11
Fizz
Baxx
14
FizzBuzz
16
17
Fizz
19
Buzz

list={{5,"Buzz"},{3,"Fizz"},{7,"Baxx"}};
runTo=(*LCM@@list[[All,1]]+1*)20;
Column@Table[
 Select[list,Mod[x,#[[1]]]==0&][[All,2]]/.{}->{x}
 ,{x,1,runTo}
]