We have a list of three dimensional points [(7, 8, 1).(3, 7, 5).(6, 4, 1).(6, 9, 5).(0, 5, 2).(9, 9, 0)]. We sort these in ascending order by the third coordinate. Which of the following corresponds to a stable sort of this input?

Pick one million sets of 12 uniform random numbers between 0 and 1. Sum up the 12 numbers in each set. Make a histogram with these one million sums, picking some reasonable binning. You will find that the mean is (obviously?) 12 times 0.5 = 6. Perhaps more surprising, you will find that the distribution of these sums looks very much Gaussian (a "Bell Curve"). This is an example of the "Central Limit Theorem", which says that the distribution of the sum of many random variables approaches the Gaussian distribution even when the individual variables are not gaussianly distributed. mean Superimpose on the histogram an appropriately normalized Gaussian distribution of 6 and standard deviation o = 1. (Look at the solutions from the week 5 discussion session for some help, if you need it). You will find that this Gaussian works pretty well. Not for credit but for thinking: why o = 1 in this case? (An explanation will come once the solutions are posted).

3. Below given a point set in the rectilinear metric (the height/width of any cell=1) where the closest pair of points should be found using divide and conquer. Show - the first partition of the point set (draw a line) -the closest pair in the left part (connect solid), 8en and the right part (connect solid), 6icht - the middle strip (shade) - pairs in the middle strip for which distances should be computed (connect dashed) closest pair in the middle strip (connect solid)

Correct answer will be upvoted else Multiple Downvoted. Don't submit random answer. Computer science. each individual has a rating chart portrayed by a variety of integers an of length n. You are currently refreshing the foundation, so you've made a program to pack these diagrams.    The program functions as follows. Given an integer boundary k, the program takes the base of each adjoining subarray of length k in a.    All the more officially, for a cluster an of length n and an integer k, characterize the k-pressure exhibit of an as a cluster b of length n−k+1, to such an extent that    bj=minj≤i≤j+k−1ai    For instance, the 3-pressure cluster of [1,3,4,5,2] is [min{1,3,4},min{3,4,5},min{4,5,2}]=[1,3,2].    A stage of length m is an exhibit comprising of m unmistakable integers from 1 to m in subjective request. For instance, [2,3,1,5,4] is a stage, however [1,2,2] isn't a change (2 shows up twice in the exhibit) and [1,3,4] is likewise not a stage (m=3 but rather there is 4 in the…