Exercise 2: (Divide and Conquer: Big Integers Multiplications) 1. Compute 1201*2430 by applying the divide-and-conquer algorithm outlined in the lecture.
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- To multiply two positive integers without using the * operator (or / operator), use a recursive function. Bit shifting, addition, and subtraction are all acceptable, but you should use them sparingly.can you please convert this python code into java? Python code is as shown below: # recursive function def row_puzzle_rec(row, pos, visited): # if the element at the current position is 0 we have reached our goal if row[pos] == 0: possible = True else: # make a copy of the visited array visited = visited[:] # if the element at the current position has been already visited then it's a loop. # as then its not possible to reach the last element, set possible to False if visited[pos]: possible = False else: # set visitied for the element as True visited[pos] = True possible = False # if its possible to move left then recurse in the left direction if pos - row[pos] > 0 and row_puzzle_rec(row, pos - row[pos], visited): # return immediately if the goal is reached return True # if its possible to move right then recurse in…Code in Python Question 1: Write a Python program in which you will invert the logic of Bubble-Sort (means compare last two elements and sort in left to right direction).Question 2: Write a Python program in which you will invert the logic of Selection-Sort (means select Max-value in each iteration and sort in right to left direction)
- Topic: Searching and Sorting Please do it in python 5.You are given an array of integers. The size (n) of the array is greater than or equal to 10. Youare going to implement an efficient searching algorithm which needs to sort the array at first. Butyou are told that the element to be searched is always going to be among the first 10 elements ofthe sorted array. Among Selection, Bubble and Insertion sorting, which one are you going to useandwhy?Python question Application: Big-O Notation (Q8-11) For each of the time complexities in this segment give the tightest bound in terms of a simple polylogarithmic function using big-O notation. Note: use the ‘^’ symbol to indicate exponents, i.e., write O(n^2) for O(n2). Question 8 (Big-O Notation 1) T(n) = n2+ log n + n Question 9 (Big-O Notation 2) T(n) = n/3 + 4 log n + 2n log(n) Question 10 (Big-O Notation 3) T(n) = 7n5 + 2n Question 11 (Big-O Notation 4) T(n) = (n%5) + 12,000Sort an array RECURSIVELY using the insertion sort algorithm. (USE PYTHON and make sure your code has the methods invoked through test statements.)
- Problem2: A square matrix can be represented by a two-dimensionalarray with N rows and N columns. You may assume a maximum size of 50 rows and 50 columns. 1. Write an algorithm MakeEmpty(n), which sets the first n rows and n columns to zero. 2. Write an algorithm Add(M1, M2, M3), which adds two matrices M1 and M2 together to produce matrix M3. 3. Write an algorithm Subtract(M1, M2, M3), which subtracts matrix M2 from matrix M1 to produce matrix M3. 4. Write an algorithm Copy(M1, M2), which copies matrix M1 into matrix M2.Exercise 1.1 4. Design an algorithm for computing Vn for any positive integer n. Besides assignment and comparison, your algorithm may only use the four basic arithmetical operations.Use the recursion to solve the following problems 1. Calculate the sum of an array of n integers. 2. Compute Powers, p(x,n)=xn 3. Revers an array of n integers 4. Calculate the length of string (number of characters) 5. Implement the tail recursion for problems 1 and 2. Please test the program by using 2 different input sets!
- can you please convert this python code into java? Python code is as shown below: # recursive function def row_puzzle_rec(row, pos, visited): # if the element at the current position is o we have reached our goal if row[pos] == o: possible = True else: # make a copy of the visited array visited = visited[:} # if the element at the current position has been already visited then it's a loop. # as then its not possible to reach the last element, set possible to False if visited[pos]: possible = False else: # set visitied for the element as True visited[pos] = True possible = False # if its possible to move left then recurse in the left direction if pos - rowlpos} > o and row_puzzle_rec(row, pos - row[pos], visited): # return immediately if the goal is reached return True # if its possible to move right then recurse in the right direction if pos + rowlpos} < len(row) and row_puzzle_rec(row, pos + row[pos], visited): # return immediately if the goal is reached. return True return possible…let n = 1*3*5*....*197*199 (the product of first 100 odd numbers) find the last 2 digits of nHere we will create a method to find the smallest value in an array: We provided the code for you to start, Main is done, you need to create minFinder function, o First do it with loops Create another function minFinder_recursive, and use recursive function to create the code to find the min value (you may add more functions/methods as needed) Write the Pseudocode (https://en.wikipedia.org/wiki/Pseudocode) for BOTH functions and do a time analysis in Big-O for both (This step is really important) For the pseudocode, you do not need to be super detailed but in steps by steps tell us how your code works. The Sample Pseudocode will be shown in class oSubmit it in PDF. import java.util.Random; // this creates randon for our program public class App { public static int minfinder (int[] arr) { int index = 0; //YOUR CODE GOES HERE 1/ you have to do two ways, once with loops, once with Recusive (For recursive you need more functions or methods, so create them) //once you find the minimum…