Let X be the result when the below postfix expressionis evaluated:X = 4 5 1 + * 2 / 3 1 2 + * +Let Y be the maximum size of the operand stack, thevalue of X-Y is ________
Question
Let X be the result when the below postfix expressionis evaluated:X = 4 5 1 + * 2 / 3 1 2 + * +Let Y be the maximum size of the operand stack, thevalue of X-Y is ________
Solution
To solve this problem, we need to evaluate the postfix expression and find the maximum size of the operand stack.
Step 1: Evaluate the postfix expression
The postfix expression is: 4 5 1 + * 2 / 3 1 2 + * +
We evaluate it as follows:
- Push 4 onto the stack.
- Push 5 onto the stack.
- Push 1 onto the stack.
- Pop 1 and 5, add them to get 6, and push the result onto the stack.
- Pop 6 and 4, multiply them to get 24, and push the result onto the stack.
- Push 2 onto the stack.
- Pop 2 and 24, divide 24 by 2 to get 12, and push the result onto the stack.
- Push 3 onto the stack.
- Push 1 onto the stack.
- Push 2 onto the stack.
- Pop 2 and 1, add them to get 3, and push the result onto the stack.
- Pop 3 and 3, multiply them to get 9, and push the result onto the stack.
- Pop 9 and 12, add them to get 21.
So, X = 21.
Step 2: Find the maximum size of the operand stack
The maximum size of the operand stack is reached after pushing 4, 5, and 1 onto the stack, before adding 5 and 1. So, Y = 3.
Step 3: Calculate X - Y
X - Y = 21 - 3 = 18.
So, the value of X - Y is 18.
Similar Questions
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