Build ADT List Application 2: Counting Primes [40 pts]Suppose you are interested in finding prime numbers between 2 and 15 both inclusive.The algorithm proceeds in rounds. In each round a single prime is discovered fromCandidates list & removed, as also numbers that have that prime as a factor. For this, youwill need to create 3 lists, a Candidates list, a Composites list and a Primes listAssume Candidates list is as follows:Candidates: 2 3 4 5 6 7 8 9 10 11 12 13 14 15Step 1:Go through Candidate list & remove the first prime number found & add to Primes listStep 2:Remove any number(s) in updated Candidates list that is/are divisible by the prime you justremoved and add it to the Composites listStep 3:When no more prime numbers remain in Candidates list, print the three lists To make the operation of the algorithm clearer, copy the contents of the lists as theyappear at the end of the previous round. You can complete the other rounds if you wish,but most of the core work has been completed.Wallthrough of steps for Step 1:(I) Being the first number in the Candidates list, you will start with 2. Since 2 is a primenumber, you will remove 2 from the list of candidates, which makes the list as follows:3 4 5 6 7 8 9 10 11 12 13 14 15(II) Then, in the updated listed above, since 4, 6, 8, 10, 12 and 14 are all divisible by 2, youwill need to remove each of these from the list of candidates one at a time, and add themto Composites list.After the above 2 steps, your Candidates, Composites and Primes lists will look as follows:Candidates: 3 5 7 9 11 13 15Primes: 2Composites: 4 6 8 10 12(III) Repeat steps I and II above using the updated Candidates list and continue to updatethe Primes and Composites list until no more prime numbers are left in the Candidates list(IV) The three lists in their respective final states should be printed by the application


Build ADT List Application 2 Counting Primes 40 ptsSuppose you are interested in finding prime
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Tags: Build ADT List Application 2 Counting Primes 40 ptsSuppose you are interested in finding prime numbers between 2 and 15 both inclusiveThe algorithm proceeds in rounds, For this youwill need to create 3 lists a Candidates list a Composites list and a Primes listAssume Candidates list is as followsCandidates 2 3 4 5 6 7 8 9 10 11 12 13 14 15Step 1G, In each round a single prime is discovered fromCandidates list removed as also numbers that have that prime as a factor, Since 2 is a primenumber you will remove 2 from the list of candidates which makes the list as follows3 4 5 6 7 8 9 10 11 12 13 14 15II Then in the updated listed above since 4 6 8, You can complete the other rounds if you wishbut most of the core work has been completedWallthrough of steps for Step 1I Being the first number in the Candidates list you will sta
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