3. Develop a method called sumRow that given an integer 2D array a returns a 1D array containing the sum of rows in a (a[0] has the sum of elements in row 0).
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- You are given an array A[1 : n] which includes the scores of n players in a game. You are additionally given an array B[1 : m] with the score of m new players. Design and analyze an algorithm that given both arrays A and B, can find the rank of each player B inside the array A, i.e., for each B[i], determines what would be the rank of B[i] in the array consisting of all elements of A plus B[i]. Your algorithm should run in O((n + m) ·log n) time.Question: Implement a minheap using the array implementation using the values 44,42,35,33,31,27,20,19,14,10. Implement the following: • a function that will insert a given value into the minheap • a function that will delete from the minheap • a function that will search the minheap for a given valueA unimodal array is an array that has a sequence of monotonically increasing integers followed by a sequence of monotonically decreasing integers, assuming all elements in the array are unique. Example: |- A= {4, 5, 8, 9, 10, 11, 7, 3, 2, 1}: A is a unimodal array because there is an increasing sequence followed by a decreasing sequence and the maximum element is 11. B= {11, 9, 8, 7, 5, 4, 3, 2, 1}: B is not a unimodal array because there is no increasing sequence It is simply a decreasing sequence and the maximum element is 11. C= {1, 2, 3, 4, 5, 7, 8, 9, 11: C is not a unimodal array because There is an increasing sequence, but there is no decreasing sequence and the maximum element is 11. a) Design an efficient algorithm with the lowest possible complexity to state whether a given array is unimodal or not, and explain why your algorithm is efficient. b) Analyze the complexity of your algorithm.
- A minimax or saddle point in a two-dimensional array is an element that is the minimum of its row and the maximum of its column, or vice verse. For example, in the following array11 22 33 33 99 55 66 77 77 44 99 22the element 33 is a minimax because it is the maximum of row 0 and the minimum of column 2. The element 55 is another minimax because it is the minimum of row 1 and the maximum of column 1.Write a program that reads a 4-by-3 matrix, and then prints the location and value of each minimax in the matrix. For example, it would printa[0][2] = 33 is a minimax a[1][1] = 55 is a minimaxfor the matrix shown above.import numpy as np a = np.array([1,2,3]) b = np.array([4,5,6]) You may need to use NumPy methods to answer the following questions. What is the cross product of the two vectors a and b given above? What is the dot product of the two vectors a and b given above?You are given an array J[1 : n] which includes the scores of n players in a game. You are additionally given an array P[1 : m] with the score of m new players. Design and analyze an algorithm that given both arrays J and P, can find the rank of each player P inside the array J, i.e., for each P[i], determines what would be the rank of P[i] in the array consisting of all elements of J plus P[i]. Your algorithm should run in O((n + m) ·log n) time.
- A unimodal array is an array that has a sequence of monotonically increasing integers followed by a sequence of monotonically decreasing integers, assuming all elements in the array are unique. Example: - A= {4, 5, 8, 9, 10, 11, 7, 3, 2, 1}: A is a unimodal array because there is an increasing sequence followed by a decreasing sequence and the maximum element is 11.- B= {11, 9, 8, 7, 5, 4, 3, 2, 1}: B is not a unimodal array because there is no increasing sequence It is simply a decreasing sequence and the maximum element is 11.- C= {1, 2, 3, 4, 5, 7, 8, 9, 11}: C is not a unimodal array because There is an increasing sequence, but there is no decreasing sequence and the maximum element is 11.a) Design an efficient algorithm with the lowest possible complexity to state whether a given array is unimodal or not, and explain why your algorithm is efficient. b) Analyze the complexity of your algorithm. Data Structure With PythonWrite a program to remove duplicate values in an array. e.g. arr[ ]={1,2,3,2,4,5,4,6,7,4,6,5,7} After the deletion of duplicate values the array becomes arr[]={1,2,3,4,5,6,7}Consider 2 two-dimensional integer arrays, x and y, of the same size (assume 3 by 4). Fill array x with random numbers between 5 and 95. Fill array y with values such that each element of array y is the corresponding value of array x plus the minimum value of array x.For example:
- Suppose an array A contains 8 elements as follows: 77,33,X,11,88,Y,6, 15 Where: element X = last two digits of your roll number (e.g., if your roll number is 19106018, then X is 18; if your roll number is 19106001, then X is 1) element Y = last two digits of the number obtained by squaring X (c.g., squarc of X = 18 is 324,50 Y is 24; squarc of X =1 is I,s0 Y is 1). Write an algorithm for insertion sort and step by step ap algorithm on the above example array A.Suppoce we're given numpy arrays of names and scores, where each row in the scores array lists the midterm and final scores for that respective student. For example, Carol has a 75 on the midterm and 99 on the final. names = np. array([ "Alice" "Bob". "Carol","Derek ","Erin"]) Scores = np.array([ [95, 98], [82, 88], [75, 99], [80, 90], 85, 82 ]]) Write function avgMidtermNoC that takes ve parameters names and score arrays, and returns the average score on the midterm, exduding anyone who's name starta with C.Write a program in JavaScript to print intersection of 2 arrays and print that intersection array