The advantages and disadvantages of this strategy are discussed, along with examples from the real world when an array (linear) form of a stack could be appropriate.
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The advantages and disadvantages of this strategy are discussed, along with examples from the real world when an array (linear) form of a stack could be appropriate.
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- A drop-out stack is a data structure that acts just like a stack except that if the stack size is n, and the n + 1 element is pushed, the first element is lost. Using an array, create a drop-out stack. (Hint: A circular array implementation would be appropriate.)Explain the stack's limited and unbounded implementations.Question 3 a. "Queues and stacks are used in many real-life situations". In your own words, clearly distinguish between queues and stacks; and give one example of real-life situations in which each of them is used. b. In an array-based implementation of a stack, which end of the contents of the array represent the bottom of the stack and why? c. If the size of circular queue K is 4 with indices number from 0 to 3 what would be the state of the queue after the following set of 8 operations below. Show in a diagram the state of queue K after each of the 8 operations. K. enqueue (“F"), K. enqueue (“R"), K. dequeue(), K. enqueue (“P"), dequeue(), K.front(), K. enqueue (“Z"), K. enqueue (“G") d. Why are insertions and deletions at the logical end of the array more efficient than insertions and deletions in the interior of the array?
- A stack of integer elements is implemented as an array. The index of the topelement is kept in position 0 in the array, and the stack elements are stored in stack[1], …,stack[stack[0]].1. How does this implementation fare when assessed against the idea of an array as ahomogeneous collection of data elements?2. How would this implementation change the stack specification?3. How would it change the implementation of the functions?A data structure known as a drop-out stack functions exactly like a stack, with the exception that if the stack size is n, the first element is lost when the n + 1 element is pushed. Apply an array to a drop-out stack. (Hint: It would make sense to implement a circular array.)Examine the performance of the stack under situations in which it is allowed to act naturally.
- Two stacks of positive integers are needed, one containing elements withvalues less than or equal to 1,000 and the other containing elements with values larger than 1,000.The total number of elements in the small-value stack and the large-value stack combined are notmore than 200 at any time, but we cannot predict how many are in each stack. (All of the elements2could be in the small-value stack, they could be evenly divided, both stacks could be empty, andso on.).1. Can you think of a way to implement both stacks in one array?Examine real-world instances in which an array (linear) representation of a stack could be appropriate, as well as the associated advantages and downsides.The most common implementation technique for regex is backtracking, a common algorithm design technique. Assuming that the implementation is simulating an NFA, and that a stack is used to store the backtracking data, give an example data structure for an entry in that stack. I.e. what fields are in this data structure, and why are they needed? An example sketch may be useful.
- Discuss real-world examples for which an array (linear) implementation of a stack may be appropriate and what are the advantages/disadvantages of this type of implementation.During our conversation about Stacks, Queues, and Deques, we talked about the circular array implementation of a queue. 1. Why didn't we need a circular array implementation of a stack? What quality, specifically, does a queue have that led to a need for the circular array implementation? (You need to be specific here, but shouldn't require more than a sentence of two to answer this.) 2. You've seen that the dynamically-allocated array underlying a std::vector is resized periodically. Propose an algorithm for resizing the array used in the circular array implementation of a queue when it comes time to enqueue an element and the array is full. How much larger is your new array? How do the contents of your queue look different than before? 3. Assuming your algorithm was used to solve the problem of resizing the array when it's full, what is the amortized running time of the enqueue operation? (You may want to refer back to the Amortized Analysis lecture while you consider this.)Discuss real-world scenarios in which an array (linear) version of a stack could be acceptable, as well as the benefits and drawbacks of this approach.