What is the time complexity of inserting an element into a stack?

Practice Questions

Q1
What is the time complexity of inserting an element into a stack?
  1. O(1)
  2. O(n)
  3. O(log n)
  4. O(n log n)

Questions & Step-by-Step Solutions

What is the time complexity of inserting an element into a stack?
  • Step 1: Understand what a stack is. A stack is a data structure that follows the Last In, First Out (LIFO) principle, meaning the last element added is the first one to be removed.
  • Step 2: Learn about the push operation. The push operation is how we add (insert) an element to the top of the stack.
  • Step 3: Recognize that adding an element to the top of the stack does not depend on the number of elements already in the stack.
  • Step 4: Realize that since the push operation only involves placing the new element at the top, it takes the same amount of time regardless of the stack's size.
  • Step 5: Conclude that the time it takes to insert an element (push) is constant, which is represented as O(1) in Big O notation.
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