Suppose an initially empty stack S has performed a total of 32 push operations, 18 peek operations, and 15 pop operations, 5 of which return to indicate an empty stack. What is the current size of S?
Suppose an initially empty stack S has performed a total of 32 push operations, 18 peek operations, and 15 pop operations, 5 of which return to indicate an empty stack. What is the current size of S?
Introduction:
A stack is an abstract data type that follows the Last-In-First-Out (LIFO) principle. It is a linear data structure where the elements are stored in a sequence, and only the topmost element can be accessed. The stack has three primary operations: push, pop, and peek.
The push operation adds an element to the top of the stack, the pop operation removes the topmost element from the stack, and the peek operation returns the topmost element without removing it.
In this question, we're given that an initially empty stack S has performed a total of 32 push operations, 18 peek operations, and 15 pop operations, 5 of which returned to indicate an empty stack. We need to determine the current size of the stack.
To solve this problem, we need to keep track of the number of elements added to the stack, the number of elements removed from the stack, and the number of times the stack was found to be empty during a pop operation. We can use this information to determine the current size of the stack, which is the number of elements remaining in the stack after all the push and pop operations have been performed.
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