Find maximum in a stack in O(1) time and O(1) extra space - GeeksforGeeks



Find maximum in a stack in O(1) time and O(1) extra space - GeeksforGeeks

Given a stack of integers. The task is to design a special stack such that maximum element can be found in O(1) time and O(1) extra space.

Examples:

Given Stack :  2  5  1  64   --> Maximum    So Output must be 64 when getMax() is called.  

Below are the different functions designed to push and pop elements from the stack.
Push(x) : Inserts x at the top of stack.

  • If stack is empty, insert x into the stack and make maxEle equal to x.
  • If stack is not empty, compare x with maxEle. Two cases arise:
    • If x is less than or equal to maxEle, simply insert x.
    • If x is greater than maxEle, insert (2*x – maxEle) into the stack and make maxEle equal to x. For example, let previous maxEle was 3. Now we want to insert 4. We update maxEle as 4 and insert 2*4 – 3 = 5 into the stack.


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