The result of evaluating the postfix expression 5 4 6 + * 4 9 3 / + * is?
Question
The result of evaluating the postfix expression 5 4 6 + * 4 9 3 / + * is?
Solution 1
To evaluate the postfix expression, we use a stack to hold operands and then perform operations. Here are the steps:
- Push 5 onto the stack.
- Push 4 onto the stack.
- Push 6 onto the stack.
- Pop 6 and 4 from the stack, add them together to get 10, and push the result back onto the stack.
- Pop 10 and 5 from the stack, multiply them to get 50, and push the result back onto the stack.
- Push 4 onto the stack.
- Push 9 onto the stack.
- Push 3 onto the stack.
- Pop 3 and 9 from the stack, divide 9 by 3 to get 3, and push the result back onto the stack.
- Pop 3 and 4 from the stack, add them together to get 7, and push the result back onto the stack.
- Pop 7 and 50 from the stack, multiply them to get 350.
So, the result of evaluating the postfix expression 5 4 6 + * 4 9 3 / + * is 350.
Solution 2
To evaluate the postfix expression, we use a stack to keep track of the operands. We scan the expression from left to right. When we encounter an operand, we push it onto the stack. When we encounter an operator, we pop the necessary number of operands from the stack, perform the operation, and push the result back onto the stack.
Let's evaluate the given expression step by step:
- Push 5 onto the stack.
- Push 4 onto the stack.
- Push 6 onto the stack.
- Pop 6 and 4 from the stack, add them together to get 10, and push the result onto the stack. The stack now contains 5 and 10.
- Pop 10 and 5 from the stack, multiply them together to get 50, and push the result onto the stack. The stack now contains 50.
- Push 4 onto the stack.
- Push 9 onto the stack.
- Push 3 onto the stack.
- Pop 3 and 9 from the stack, divide 9 by 3 to get 3, and push the result onto the stack. The stack now contains 50, 4, and 3.
- Pop 3 and 4 from the stack, add them together to get 7, and push the result onto the stack. The stack now contains 50 and 7.
- Pop 7 and 50 from the stack, multiply them together to get 350.
So, the result of evaluating the postfix expression 5 4 6 + * 4 9 3 / + * is 350.
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