- Finding the maximum and minimum of a sequence of numbers.
- Strassen's matrix multiplication.
- Merge sort.
- Binary search.
What are the possible benefits of the divide and conquer approach select all that apply?
The advantages of using the divide and conquer paradigm is that
it allows us to solve difficult problems
, it helps discover efficient algorithms, and they make efficient use of memory caches.
Which problem Cannot be solved using divide and conquer approach?
The Knapsack problem
uses a greedy algorithm, and will not work by divide and conquer (either cutting the knapsack size in half or dividing the objects into two halves.
What are the two examples of divide and conquer algorithms?
- Binary Search is a searching algorithm. …
- Quicksort is a sorting algorithm. …
- Merge Sort is also a sorting algorithm. …
- Closest Pair of Points The problem is to find the closest pair of points in a set of points in x-y plane.
What is divide and conquer approach give real life examples?
The typical examples for introducing divide and conquer are
binary search and merge sort
because they are relatively simple examples of how divide and conquer is superior (in terms of runtime complexity) to naive iterative implementations. FFT can also be used in that respect.
What is divide conquer strategy?
Divide and conquer strategy is as follows: –
Divide the problem instance into two or more smaller instances of the same problem
, – Solve the smaller instances recursively, and assemble the solutions to form a solution of the original instance. … The sub problems are solved recursively.
What are the steps of divide and conquer approach?
It consists of three phases:
Divide: Dividing the problem into two or more than two sub-problems
that are similar to the original problem but smaller in size. Conquer: Solve the sub-problems recursively. Combine: Combine these solutions to subproblems to create a solution to the original problem.
What is the limitation of divide and conquer technique?
Disadvantages of Divide and Conquer
Since most of its algorithms are designed by incorporating recursion, so it necessitates high memory management.
An explicit stack may overuse the space
. It may even crash the system if the recursion is performed rigorously greater than the stack present in the CPU.
What are the disadvantages of using divide and conquer?
One of the most common issues with this sort of algorithm is the
fact that the recursion is slow
, which in some cases outweighs any advantages of this divide and conquer process.
What is basic principle of divide and conquer?
You should think of a divide-and-conquer algorithm as having three parts: Divide the problem into a number of subproblems that are smaller instances of the same problem.
Conquer the subproblems by solving them recursively
. If they are small enough, solve the subproblems as base cases.
How do you solve greedy algorithms?
To make a greedy algorithm,
identify an optimal substructure or subproblem in the problem
. Then, determine what the solution will include (for example, the largest sum, the shortest path, etc.). Create some sort of iterative way to go through all of the subproblems and build a solution.
Which of the following is not divide and conquer approach?
Answer:
Heap sort
is not divide and conquer approach.
Why does divide and conquer work?
Divide and conquer algorithms work
faster because they end up doing less work
. Consider the classic divide-and-conquer algorithm of binary search: rather than looking at N items to find an answer, binary search ends up checking only Log2N of them.
Which of the following is NOT example of divide and conquer strategy?
Which of the following algorithms is NOT a divide & conquer algorithm by nature?
Euclidean algorithm to compute the greatest common divisor
. Heap Sort. Cooley-Tukey fast Fourier transform.
How do you write a quick sort algorithm?
- Step 1 – Consider the first element of the list as pivot (i.e., Element at first position in the list).
- Step 2 – Define two variables i and j. …
- Step 3 – Increment i until list[i] > pivot then stop.
- Step 4 – Decrement j until list[j]
Why is divide and conquer faster?
The recursive version ends up being faster in this case because at each step, we
avoid doing a lot of work
from dealing with pairs of elements by ensuring that there aren't too many pairs that we actually need to check. Most algorithms that have a divide and conquer solution end up being faster for a similar reason.
