What is Stack Push & Pop?
Push and pop are the only two moves a stack really needs. Push adds a value on top, pop takes the top value back off, and because of that, whatever went on last is always the first thing to come off: that's the LIFO (Last In, First Out) rule in action.
Push Operation
Adds an element to the top of the stack.
Example: Pushing elements onto a stack
- Start with empty stack
- Push 5
- Push 3
- Push 7
- Time Complexity: O(1)
- Space Complexity: O(1)
Pop Operation
Removes and returns the topmost element from the stack.
Example: Popping elements from a stack
- Current stack, 7 on top
- Pop → returns 7
- Pop → returns 3
- Pop → returns 5
- Time Complexity: O(1)
- Space Complexity: O(1)
Time Complexity Analysis
Stack Underflow & Overflow
- Stack Underflow: Trying to pop from an empty stack
- Stack Overflow: Trying to push to a full stack (in fixed-size implementations)
Real-world Applications
- Function call management in programming languages (call stack)
- Undo/Redo operations in text editors
- Back/Forward navigation in web browsers
- Expression evaluation and syntax parsing
- Memory management
Push and Pop operations are fundamental to stack functionality. While simple to implement, stacks are powerful data structures used in many algorithms and system designs.