The time complexity of both push and pop operations on a stack implemented with an array is O(1).a.TRUEb.FALSE
Question
The time complexity of both push and pop operations on a stack implemented with an array is O(1).
a. TRUE
b. FALSE
Solution
Answer
The statement "The time complexity of both push and pop operations on a stack implemented with an array is O(1)" is:
a. TRUE
Explanation
-
Push Operation: When pushing an element onto the stack, you place the element at the next available index in the array. This operation involves just updating the array at that index, and it doesn't depend on the number of elements in the stack. Thus, the time complexity is O(1).
-
Pop Operation: When popping an element from the stack, you simply remove the element from the top of the stack, which typically corresponds to the last filled index in the array. Just like the push operation, this involves a few constant time steps (usually updating an index), making the time complexity for this operation also O(1).
Therefore, both push and pop operations in an array-based stack can be performed in constant time, confirming that the statement is TRUE.
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