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- The following is a implementation of the Ackermann function: public static long Ackermann(int m, int n){ 0) return n + 1; if (m == else if (n == return Ackermann(m 1, 1); else return Ackermann(m 1, Ackermann(m, n - 1));int getMax(int arr[], int n) { intmx=arr[0]; for (inti=1; i<n; i++) if (arr[i] >mx) mx=arr[i]; returnmx; } Can u give me the code for this one as well....this is the first function and countsort is the secondGiven L = {w = {a, b}*: |w| is even}, the correct statements are: (aa U ab Uba U bb)* is a regular expression that generates L. (ab Uba)* is a regular expression that generates L. aa U ab U ba U bb is a regular expression that generates L. ab U ba is a regular expression that generates L.
- Consider the following function: public void bSearch(int[] A, int value, int start, int end) { if (end value) { return bSearch(A, value, start, mid); } else if (value > A[mid]) { return bSearch(A, value, mid+1, end); } else { return mid; } } The mutation program P' changes the part as shown below. } else if (value > A[mid]) { return bSearch(A, value, mid+2, end); } else { return mid; } A test input is given t1: {A = [2, 3, 5, 7, 10, 11], value = 6, start=0, end=5}. Which statement below best describes the mutant with regards to the test input? O a. t1 resolves mutant P O b. The mutant P' with regards to test input t1 is live.What is the value of sum?int w = 5;int sum = 0;for (int r = 1; r <= w; r++)for (int s = r; s <= w; s++)sum = sum + s;In all programming assignments in this course, it is NOT allowed to use any library orpackage function to directly generate random numbers that follow Poisson Distribution,Exponential Distribution, or any other advanced distributions. --- Writing such randomnumber generators is a main purpose of this assignment.The only exception that you are allowed to directly use is the ones that generate randomnumbers that follow a Uniform Distribution. E.g., rand() in C. Using a pseudo random number generation function (e.g., rand() in C or other equivalentfunctions in other languages) that generates uniformly distributed random numbers,generate a workload for a system that is composed of 1000 processes. You can assumethat processes arrive with an expected average arrival rate of 2 processes per second thatfollows a Poisson Distribution and the service time (i.e., requested duration on the CPU)for each process follows an Exponential Distribution with an expected average servicetime of 1…
- Write commend to each line for explaining the line n=1500;r=linspace(0,1,n);theta=linspace(0,5*pi,n);[R,THETA]=ndgrid(r,theta);petalNum=20;x = 1 - (1/2)*((5/4)*(1 - mod(petalNum*THETA, 2*pi)/pi).^2 - 1/4).^2;phi = (pi/2)*exp(-2*pi/(8*pi));y = 1.95653*(R.^2).*(1.27689*R - 1).^2.*sin(phi);R2 = x.*(R.*sin(phi) + y.*cos(phi));X=R2.*sin(THETA);Y=R2.*cos(THETA);Z=x.*(R.*cos(phi)-y.*sin(phi));mapSize=5;blue_map=linspace(155,255,mapSize)';blue_map(:,2)=linspace(205,153,mapSize)';blue_map(:,3)=linspace(255,51,mapSize)';gold_map=[255 35 0; 255 235 0];violet_map=[gold_map; blue_map];surf(X,Y,Z,'LineStyle','none')colormap(violet_map/255)view([-12.700 81.200])it is NOT allowed to use any library orpackage function to directly generate random numbers that follow Poisson Distribution,Exponential Distribution, or any other advanced distributions. --- Writing such randomnumber generators is a main purpose of this assignment.The only exception that you are allowed to directly use is the ones that generate randomnumbers that follow a Uniform Distribution. E.g., rand() in C.The "enor function"), is a special function that often occurs in the fields of probability and statistics, looks 10 55 3 ** -0.3 -10 art The definition of erfix) can be found here, but for now that is unimportant. There is a function in the Python matherary that directly evaluates the error function for any single, real-valued number. You can import it with the Ine from math inport erf Suppose we want to find the root of the function fo))+J The Newton-Raphson Method does not behave well with functions of this sort (see the lecture notes), so we will need to use the section Method You are to unite a function relatina, eta, left, right, taterace which computes and returns that root aahe (n) and bets (3) are the constants defining the function for) above,left and right define a range known to contain the root, and tolerance is the maxim error that can be tolerated for the root, defined as in the previous questions Notes: You should use your bisection retider function from the previous…
- Run my function on {(1,4),(0,6),(3,5),(2,9),(7,8)}. Is the output what you expect? Find the problem and fix it, writing a correct version of the function. Again, use the same function name, i.e., count_crossings_and_nestings. Demonstrate that the new version works by testing it on the example provided. Now write a well-documented version of your function count_crossings_and_nestings. Add a document string and plenty of comments.Java, I am not displaying my results correct. It should add up the digits in the string. input string |result for the sumIt Recursion functions and a findMax function that finds the largest number in a string "1d2d3d" | 6 total "55" |10 total "xx" | 0 total "12x8" |12 Max number "012x88" |88 Max Number "012x88ttttt9xe33ppp100" |100 Max Number public class Finder { //Write two recursive functions, both of which will parse any length string that consists of digits and numbers. Both functions //should be…code in java pls Summary: Given integer values for red, green, and blue, subtract the gray from each value. Computers represent color by combining the sub-colors red, green, and blue (rgb). Each sub-color's value can range from 0 to 255. Thus (255, 0, 0) is bright red, (130, 0, 130) is a medium purple, (0, 0, 0) is black, (255, 255, 255) is white, and (40, 40, 40) is a dark gray. (130, 50, 130) is a faded purple, due to the (50, 50, 50) gray part. (In other words, equal amounts of red, green, blue yield gray). Given values for red, green, and blue, remove the gray part. Ex: If the input is: 130 50 130 the output is: 80 0 80 Find the smallest value, and then subtract it from all three values, thus removing the gray.