Table of Contents
What kind of problems can be solved using divide and conquer method?
Following are some problems, which are solved using divide and conquer approach.
- Finding the maximum and minimum of a sequence of numbers.
- Strassen’s matrix multiplication.
- Merge sort.
- Binary search.
When can we use divide and conquer?
Divide and Conquer should be used when same subproblems are not evaluated many times. Otherwise Dynamic Programming or Memoization should be used. For example, Binary Search is a Divide and Conquer algorithm, we never evaluate the same subproblems again.
Which of the following is an example of a divide and conquer approach?
A classic example of Divide and Conquer is Merge Sort demonstrated below. In Merge Sort, we divide array into two halves, sort the two halves recursively, and then merge the sorted halves.
Which of the following problem Cannot be solved using divide and conquer?
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 disadvantages of divide and conquer?
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.
Which of the following is divide-and-conquer approach algorithm?
Cooley–Tukey Fast Fourier Transform (FFT) algorithm is the most common algorithm for FFT. It is a divide and conquer algorithm which works in O(N log N) time.
What do you mean by Divide & conquer approach list advantages and disadvantages of it?
Advantages and Disadvantages of Divide and Conquer
- Solving difficult problems.
- Algorithm efficiency.
- Parallelism.
- Memory access.
- Roundoff control.
What is not true about divide and conquer?
Answer: Heap sort is not divide and conquer approach.