Consider the following statements:i. First-in-first out types of comp...
i -STACK is the data structure that follows Last In First Out (LIFO) or First In Last Out (FILO) order, in which the element which is inserted at last is removed out first.
ii – Implementing LISTS on linked lists is more efficient than implementing it on an array for almost all the basic LIST operations because the insertion and deletion of elements can be done in O(1) in Linked List but it takes O(N) time in Arrays.
iii- Implementing QUEUES on a circular array is more efficient than implementing it on a linear array with two indices because using circular arrays, it takes less space and can reuse it again.
iv – QUEUE is the data structure that follows First In First Out (FIFO) or Last In Last Out (LILO) order, in which the element which is inserted first is removed first.
only (ii) and (iii) are TRUE.
Option (A) is correct.
Consider the following statements:i. First-in-first out types of comp...
Statement i: First-in-first-out types of computations are efficiently supported by STACKS.
Statement ii: Implementing LISTS on linked lists is more efficient than implementing LISTS on an array for almost all the basic LIST operations.
Statement iii: Implementing QUEUES on a circular array is more efficient than implementing QUEUES on a linear array with two indices.
Statement iv: Last-in-first-out type of computations are efficiently supported by QUEUES.
Explanation:
Statement i: First-in-first-out (FIFO) types of computations, such as a queue, are efficiently supported by QUEUES, not STACKS. STACKS are based on the Last-in-first-out (LIFO) principle, where the last element added is the first one to be removed. Therefore, statement i is incorrect.
Statement ii: Implementing LISTS on linked lists is indeed more efficient than implementing LISTS on an array for most basic LIST operations. This is because linked lists allow for dynamic memory allocation and insertion/deletion at any position in constant time (O(1)). On the other hand, an array requires shifting elements when inserting/deleting in the middle, resulting in a time complexity of O(n). Therefore, statement ii is correct.
Statement iii: Implementing QUEUES on a circular array is generally more efficient than implementing QUEUES on a linear array with two indices. In a circular array implementation, the front and rear pointers can wrap around to the beginning of the array, avoiding the need to shift elements when the end of the array is reached. This provides constant-time enqueue and dequeue operations (O(1)). In a linear array with two indices, enqueueing and dequeueing elements require shifting the elements, resulting in a time complexity of O(n). Therefore, statement iii is correct.
Statement iv: Last-in-first-out (LIFO) type of computations, such as a stack, are efficiently supported by STACKS, not QUEUES. QUEUES follow the First-in-first-out (FIFO) principle, where the first element added is the first one to be removed. Therefore, statement iv is incorrect.
Conclusion:
From the explanation above, we can conclude that option (A) is the correct answer as both statement ii and statement iii are true.
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