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Published: 24.12.2020  So, the time complexity of the merge sort is O nlog n.

Several problems can be solved using the idea similar to the merge sort and binary search.

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## Dynamic Programming And Divide-And-Conquer MCQ - 1

Let a n be the number of n -bit strings that do NOT contain two consecutive 1s. Let P be a quicksort program to sort numbers in ascendinng order using the first element as the pivot. Let t 1 and t 2 be the number of comparisions made by P for the inputs [1 2 3 4 5] and [4 1 5 3 2] respectively. Consider the following pseudo code. What is the total number of multiplications to be performed? You have an array of n elements. Suppose you implement quicksort by always choosing the central element of the array as the pivot. ## Divide and Conquer

Skip to content. All Homes Search Contact. Learn vocabulary, terms, and more with flashcards, games, and other study tools. Dynamic programming is used where we have problems, which can be divided into similar sub-problems, so that their results can be re-used. The idea behind dynamic programming is quite simple. Overlap D.

All other are dynamic programming based. In divide and conquer, the problem is divided into smaller non-overlapping subproblems and an optimal solution for each of the subproblems is found. The optimal solutions are then combined to get a global optimal solution. For example, mergesort uses divide and conquer strategy. An algorithm to find the length of the longest monotonically increasing sequence of numbers in an array A[0 :n-1] is given below. Let Li denote the length of the longest monotonically increasing sequence starting at index i in the array. Kadane algorithm is used to find the maximum sum subarray in an array. What is the Weightage of Divide-and-conquer in GATE Exam? Total 18 Questions have been asked from Divide-and-conquer topic of Algorithms subject in.

## steps of divide and conquer approach mcq

Content should be unique and contains atleast one image. O mn Correct c. Insertion sort Show Answer,

The merge function is used for merging two halves. Several problems can be solved using the idea similar to the merge sort and binary search. Merge sort True. As divide-and-conquer approach is already discussed, which include following steps: Divide the problem into a number of subproblems that are smaller instances of the same problem.

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