Hi all
Is there anybody who can solve this problem? This is not a easy problem.
Problem:
Assume that George(S,X) is a function that returns a Boolean value, where S is a stack, and that the time complexity of George is O( log |S| ) , where |S| is the current size of the stack.
Consider the following block of pseudo code.
S <- - empty stack
For i from 1 to n do
Read (Xi)
While (S! = Ø) and George(S, Xi) do
Pop (S)
End while
Push Xi onto S
End for
Assume that reading popping and pushing take O (1) time.
Use Amortized analysis to prove that the block of code runs in O (n logn) time.
Please describe your answer in detail if you know the solution.
Any help is appreciated.
Is there anybody who can solve this problem? This is not a easy problem.
Problem:
Assume that George(S,X) is a function that returns a Boolean value, where S is a stack, and that the time complexity of George is O( log |S| ) , where |S| is the current size of the stack.
Consider the following block of pseudo code.
S <- - empty stack
For i from 1 to n do
Read (Xi)
While (S! = Ø) and George(S, Xi) do
Pop (S)
End while
Push Xi onto S
End for
Assume that reading popping and pushing take O (1) time.
Use Amortized analysis to prove that the block of code runs in O (n logn) time.
Please describe your answer in detail if you know the solution.
Any help is appreciated.
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