Let U=(2,-7,1),V=(-3,0,4) and W=(0,5,-8) then 3U-4V is: O (5,-13,-71) O (8,-5,-22) O (18, -21 ,-13) Skip
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- Let A = {4, 5, 11, 16}, B = {6, 8, 11, 12, 13, 16}, C = {2, 3, 5, 7, 11},D = {8, 12, 16}, E = {6, 11, {12, 13}, 16}, F = {n ∈ Z | 1 ≤ n ≤ 12, and n is prime}. (Note: you can take multiple questions from my cycle if u want)A = [15, 12, 13, 19, 14, 10, 16, 20, 9, 18, 8, 7]B = [19, 14, 8, 16, 20, 9, 18, 15, 12, 13, 7, 10]vN = 0for i in range(len (A)):vN = A[i]for j in range(len (B)):if B[j] ==vN:print ('A[',i,'] with B[',j,']') implementation this code with JUST one for loopAlgorithm Bellman_Ford1: procedure Bellman_Ford(G,s)2: for all {v} ∈ V do initialize3: d[v]←∞4: p[v] ← Ø5: end for6: d[s] ← 0 s has 0 cost7: for k = 1 to n − 1 do8: for all (u, v) ∈ E do relaxation9: if d[v] > d[u] + w[u, v] then10: d[v] = d[u] + w[u, v]11: p[v] ← u12: end if13: end for14: end for15: for all (u, v) ∈ E do16: if d[v] > d[u] + W[u, v] then17: return Ø a negative cycle detected18: end if19: end for20: return d, P21: end procedure Make Python Implementation of given algorithm
- If the first number in a sequence is a positive integer, x Let ao= x, an is defined as follows if an is even, then an+1 = an/2 if an is odd, then an+1 =3 *an+ 1 Then there exists an integer k, such that ak =1 For example, if: 75, then k = 14 and the numbers in the sequence are: 75, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1. The largest number in the sequence is 340 and it is a position 4 in the sequence (assuming 75 is at position 1) Design and implement a complete C++ program that will • read a series of integers (greater than 0) from a file and for each integer display (to the screen) − the integer − the number of steps it takes to reach 1 − the largest value in the sequence and its positionpassing through (9,5) with x-int ecept -3Let A and B be two arrays of length n, each containing a random permutation of the numbers from 1 to n. An inversion between the two permutations A and B is a pair of values (x, y) where the index of x is less than the index of y in array A, but the index of x is more than the index of y in array B. Design an algorithm which counts the total number of inversions between A and B that runs in O(n log n) time.
- Given g = {(1,c),(2,a),(3,d)}, a function from X = {1,2,3} to Y = {a,b,c,d}, and f = {(a,r),(b,p),(c,δ),(d,r)}, a function from Y to Z = {p, β, r, δ}, write f o g as a set of ordered pairs.Apply Binary Search Algorithm on: 2, 8, 12, 15, 18, 20, 23, 30, 45, 85, 96, 97 where x=65 Show all necessary steps;Given a sequence of integers, e.g., \[ 9,-1,45,6,8,21,34,5,55,65,543,18,90,122,132,0,66,100,-12,17 \] design an algorithm/method to re-arrange the order of the data items (i.e., form a new sequence of the integers) so that when the data items are inserted sequentially into an initially empty BST, the newly created BST will be a balanced BST. a) Design the algorithm (in pseudo code) and analyse your algorithm. b) Write a Python function/method to implement your algorithm. c) Write a program that calls the above function, thereby demonstrating your algorithm by (i). Print the re-arranged data items (i.e., a new sequence) generated by the algorithm, and (ii). Build a BST using the newly generated data sequence as input (that is, insert the data items, oneby-one, into an initially empty BST). Print the tree shape of the BST. (Note: The program should use at least two datasets to demonstrate the algorithm, one of which is the dataset given above).
- Given a collection of numbers that might contain duplicates,return all possible unique permutations.For example,[1,1,2] have the following unique permutations:[ [1,1,2], [1,2,1], [2,1,1]]""" def permute_unique(nums): perms = [[]] for n in nums: new_perms = [] for l in perms: for i in range(len(l)+1): new_perms.append(l[:i]+[n]+l[i:]).Let A = {1, 2, 3, 4, 5} and B = {2, 3, 4, 5, 6, 7} and C = {a, b, c, d, e} 15. Give an example of f: A -> B that is not 1-1.Recall that histograms are used for constructing load-balanced range partitions. Suppose you have a histogram where values are between 1 and 100, and are partitioned into 10 ranges, 1–10, 11–20,...,91–100, with frequencies 15, 5, 20, 10, 10, 5, 5, 20, 5, and 5, respectively. Give a load-balanced range partitioning function to divide the values into 5 partitions. Write an algorithm for computing a balanced range partition with p partitions, given a histogram of frequency distributions containing n ranges.