You are designing a system for processing mathematical expressions. Discuss how you would utilize stacks to evaluate infix expressions efficiently.
- Convert the infix expression to postfix using a stack. Evaluate the postfix expression using a stack for operands.
- Convert the infix expression to prefix using a stack. Evaluate the prefix expression using a stack for operands.
- Evaluate the infix expression directly using a stack for both operators and operands.
- Use a queue to convert the infix expression to postfix. Evaluate the postfix expression using a queue for operands.
Stacks are commonly used to convert infix expressions to postfix, simplifying the evaluation process. This involves using a stack to track operators and ensure correct order of operations.
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