Match 5 - Jaffna stallions vs Dambulla vikings | LPL 2020

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Evaluate postfix expression 3 2 ↑ 5 4 3 ↑ * + 18 9 / - using stack.

Evaluate the postfix expression 3 2 ↑ 5 4 3 ↑ * + 18 9 / -    using stack. Write each step of this evaluation using the following table.
Input		Op1		Op2				Value			Stack

Input	Op1	Op2	Value	Stack
3				3
2				3	2
↑	3	2	9	9
5	3	2	9	9	5
4	3	2	9	9	5	4
3	3	2	9	9	5	4	3
↑	4	3	64	9	5	64
*	5	64	320	9	320
+	9	320	329	329
18	9	320	329	329	18
9	9	320	329	329	18	9
/	18	9	2	329	2
-	329	2	327	327
Postfix Expression Evaluation Result is:  327 Rules/Algorithm Ø Each operator in a postfix expression refers to the previous two operands. Ø Each time we read an operand, we push it on a stack. Ø When we reach an operator, we pop the two operands from the top of the stack, apply the operator and push the result back on the stack. Evaluating Postfix Algorithm: Stack s; while( not end of input ) { e = get next element of input if( e is an operand ) s.push( e ); else { op2 = s.pop(); op1 = s.pop(); value = result of applying operator ‘e’ to op1 and op2; s.push( value ); } } finalresult = s.pop();                        Thank you

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