Step 1: Reverse
Reverse the initial Infix expression. Crucially, when reversing, swap the parentheses: `(` becomes `)` and `)` becomes `(`.
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Converting to Prefix (Polish Notation) uses the exact same stack-based precedence logic as Postfix, but with a clever string reversal trick.
Reverse the initial Infix expression. Crucially, when reversing, swap the parentheses: `(` becomes `)` and `)` becomes `(`.
Run the standard Infix-to-Postfix algorithm on this reversed string. The only minor change is handling equal precedence (associativity) slightly differently for right-to-left operators.
The output of Step 2 will be a string. Reverse this string one final time, and you will have the correct Prefix expression!