Number included also without using space

[Reas-blip]

Pull Request Description:

This pull request introduces a feature that processes an input expression by identifying numbers, replacing them with unique letters, and then formatting the output by "slotting" the original numbers back in place in the expression. The key improvement is that the code now works both with and without spaces between numbers, operators, and variables, whereas the original version only worked with spaces. This allows for greater flexibility when working with expressions.

How the Code Works:

1. Collecting the Input String:

   • The code accepts an input expression (e.g., a mathematical or algebraic expression) in string format. This expression can contain variables, operators, and numbers. Importantly, spaces are not required between elements in the input string. The program can handle expressions both with and without spaces.

2. Identifying Numbers:

   • The program identifies numbers, including integers and floating-point numbers (e.g., 123 or 45.67). It doesn't matter whether these numbers are surrounded by spaces or other characters—the program will still identify them correctly.

3. Replacing Numbers with Letters:

   • Each identified number is replaced with a unique letter (e.g., a, b, c, etc.). This replacement is stored in a mapping, which associates each letter with its corresponding number.

4. Collecting the Converted Output:

   • After the numbers are replaced with letters, the program constructs a new expression where the numbers are replaced by their corresponding letters. The structure of the original expression (including operators and variables) is preserved.

5. Slotting Numbers Back In:

   • After performing any necessary operations or transformations, the numbers are "slotted" back in their original places. The letters are replaced by the numbers they represent in the final output.

6. Maintaining the Format:

   • The program maintains the original format of the expression throughout the process. Whether the input includes spaces or not, the code will identify numbers, replace them with letters, and then revert them to numbers in the same structure.

Example:

Input with spaces:

(1/((x^2)+100)) + 45.67

Input without spaces:

(1/((x^2)+100))+45.67

Steps:

• 1 is replaced with a.
• 100 is replaced with b.
• 45.67 is replaced with c.

Converted Expression:

(a/((x^2)+b)) + c

Output (with numbers slotted back):

(1/((x^2)+100)) + 45.67

Illustration:

Before Replacement (with spaces):

(1/((x^2)+100)) + 45.67

Before Replacement (without spaces):

(1/((x^2)+100))+45.67

After Replacing Numbers with Letters:

(a/((x^2)+b)) + c

After Slotted Back (Final Output):

(1/((x^2)+100)) + 45.67

Usage:

To use this feature:

1. Provide an input string containing your expression (e.g., a mathematical expression with numbers). The program will work with expressions both containing and excluding spaces between numbers and other components.
2. The program will identify all numbers in the expression, replace them with unique letters, and output the expression with the transformed format.
3. After any necessary transformations, the program will restore the numbers in place of the letters, preserving the original structure of the expression.

---

ChatGPT mostly wrote the bridge file but i implemented it in the main file