What is the divide-and-conquer method? Give an example of an algorithm that uses this method.
What is the divide-and-conquer method? Give an example of an algorithm that uses this method.
Q. Give a divide- and- conquer algorithm that computes the number of inversions in array A in O(n log n) time. Show that your algorithm takes O(n log n).
Design a divide-and-conquer algorithm for computing the number of levels in a binary tree. In particular, the algorithm should return 0 and 1 for the empty and single-node trees respectively. Please provide the pseudocode for your algorithm. What is the running time of your algorithm in the worst case using O() notation? Design a divide-and-conquer algorithm for computing the number of levels in a COMPLETE binary tree. In particular, the algorithm should return 0 and 1 for the empty and...
Please give me a divide and conquer algorithm that has runtime better than O(n^2) along with justification. Also please do a runtime analysis on this algorithm. Please DONT copy and paste other's solution.THANKS 3. Give the best algorithm you can to convert an n digit number base 10 into binary. Here, we are counting operations on single digits as single steps, not arithmetic operations. You can use any of the multiplication algorithms we described in class.)
Design a divide-and-conquer algorithm in pseudocode for computing the number of levels in a binary tree. In particular, your algorithm must return 0 and 1 for the empty and single-node trees, respectively. What is the time efficiency class of your algorithm?
Suppose that, in a divide-and-conquer algorithm, we always divide an instance of size n of a problem into 5 sub-instances of size n/3, and the dividing and combining steps take a time in Θ(n n). Write a recurrence equation for the running time T (n) , and solve the equation for T (n) 2. Suppose that, in a divide-and-conquer algorithm, we always divide an instance of size n of a problem into 5 sub-instances of size n/3, and the dividing...
a) Devise a divide-and-conquer algorithm that determines whether the two candidates who received the most votes each received at least n/4 votes and, if so, determine who these two candidates are. [Hint: a candidate could not have received a semi-majority of votes in the overall election without receiving a semi-majority in the first half of votes or a semi-majority in the second half of votes (note: you need to defend this).] b) Use the master theorem to give a big-O...
Java program: Convex Hull using Divide and Conquer Algorithm A convex hull is the smallest convex polygon containing all the given points. Input is an array of points specified by their x and y coordinates. The output is the convex hull of this set of points. Examples: Input : points[] = {(0, 0), (0, 4), (-4, 0), (5, 0), (0, -6), (1, 0)}; Output : (-4, 0), (5, 0), (0, -6), (0, 4) use Divide and Conquer Algorithm please explain...
7. Explain Dynamic Program ming algorithm in contrast to Divide and Conquer algorithm Discuss the advantages of Dynamic Programming over the other iophs method. 5pts) Then find the LCS of the following two strings X ABCBDAB) and Y- (BDCABA) (Explain the algorit g two strings. (He pts) thm as well 8. a) Explain the difference between recursive and iterative algorithms.(2 pts) b) The recursive Euclid algorithm is given as below: int GCD(int a, int b) f (b0) return a else...
1. Design and write a Divide& Conquer algorithm that, given an array A of n distinct integers which is already sorted into ascending order, will find if there is some i such that Ali] in worst-case 0(log n) time.
2. Using Python, implement the Divide-and-Conquer algorithm to count the number of inversions between two arrays. The algorithm is based on Mergesort and counts the inversions while merging the sorted lists.