Table of Contents
- 1 Does divide-and-conquer have to use recursion?
- 2 Can any algorithmic problem be solved by using recursion alone?
- 3 Which problems can’t be solved using recursion?
- 4 Which algorithm does not follow divide and conquer?
- 5 What can only be done with recursion?
- 6 Which algorithm uses recursion?
- 7 Which algorithm uses divide-and-conquer?
- 8 Are all divide and conquer algorithms always implemented using recursion?
- 9 What is the difference between Divide and conquer and combine?
- 10 Is it possible to make a sort algorithm without recursion?
Does divide-and-conquer have to use recursion?
Recursion and Divide & Conquer Approach.
Can any algorithmic problem be solved by using recursion alone?
No. Recursion makes solving problems easier by breaking them into smaller sub problems thereby making it easier to understand the problem. As such, not all problems can be broken down into smaller sub problems so that they could be solved recursively.
Can every problem be solved with recursion?
1 Answer. So no, every problem that can be solved iterative can be solved with recursion and vice-versa. It can, however, still be better to use an iterative algorithm over a recursive because you can do different things.
Which problems can’t be solved using recursion?
2. Which of the following problems can’t be solved using recursion? Explanation: Problems without base case leads to infinite recursion call. In general, we will assume a base case to avoid infinite recursion call.
Which algorithm does not follow divide and conquer?
What does not qualifies as Divide and Conquer: Binary Search is a searching algorithm. In each step, the algorithm compares the input element x with the value of the middle element in the array. If the values match, return the index of the middle.
When can a problem be solved using recursion?
What Is Recursion? ¶ Recursion is a method of solving problems that involves breaking a problem down into smaller and smaller subproblems until you get to a small enough problem that it can be solved trivially.
What can only be done with recursion?
Ultimately, there’s nothing recursion can compute that looping can’t, but looping takes a lot more plumbing. Therefore, the one thing recursion can do that loops can’t is make some tasks super easy. Take walking a tree. Walking a tree with recursion is stupid-easy.
Which algorithm uses recursion?
Quick sort and merge sort algorithms are based on the divide and conquer algorithm which works in the recursive manner. Recursion is used in Quick sort and merge sort.
Which of the following is divide and conquer approach algorithm?
Both merge sort and quicksort employ a common algorithmic paradigm based on recursion. This paradigm, divide-and-conquer, breaks a problem into subproblems that are similar to the original problem, recursively solves the subproblems, and finally combines the solutions to the subproblems to solve the original problem.
Which algorithm uses divide-and-conquer?
Are all divide and conquer algorithms always implemented using recursion?
Yes All Divide and Conquer always be implemented using recursion . A typical Divide and Conquer algorithm solves a problem using following three steps. Divide: Break the given problem into sub-problems of same type. Following are some standard algorithms that are Divide and Conquer algorithms.
What is the difference between Strassen’s algorithm and divide and conquer?
The Divide and Conquer algorithm solves the problem in O (N log N) time. Strassen’s Algorithm is an efficient algorithm to multiply two matrices. A simple method to multiply two matrices needs 3 nested loops and is O (n^3).
What is the difference between Divide and conquer and combine?
Divide: This involves dividing the problem into smaller sub-problems. Conquer: Solve sub-problems by calling recursively until solved. Combine: Combine the sub-problems to get the final solution of the whole problem. The following are some standard algorithms that follow Divide and Conquer algorithm.
Is it possible to make a sort algorithm without recursion?
Examining merge sort algorithm will be enough for this question. After understanding implementation of merge sort algorithm with divide and conquer (also recursion) you will see how difficult it would be making it without recursion.