A confused calculator

Computer Science Level 1

In a stack s s , TIM is equivalent to s.push(s.pop() * s.pop()) and SUM is equivalent to s.push(s.pop() + s.pop()) . What will the following stack machine evaluate the operations as? 

1
2
3
4
5
6
7
8
9
 
PUSH 1   
PUSH 2   
PUSH 3   
PUSH 4   
PUSH 5   
SUM   
TIM   
SUM   
TIM

65 = ( 1 + 2 ) × 3 + 4 ) × 5 65 = \left( 1 + 2 ) \times 3 + 4 \right) \times 5 29 = ( ( 5 + 4 ) × 3 + 2 ) × 1 29 = \left( ( 5 + 4 ) \times 3 + 2 \right) \times 1 19 = 1 × 2 + 3 × 4 + 5 19 = 1 \times 2 + 3 \times 4 + 5 27 = 5 × 4 + 3 × 2 + 1 27 = 5 \times 4 + 3 \times 2 + 1

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Calvin Lin by Calvin Lin

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1 solution

Zuhaib Ali
Oct 1, 2015

8 Helpful 1 Interesting 0 Brilliant 2 Confused

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