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Better World Books. Add to Want List. The final output will be the number of the selected person. You will use two lists in this application. The first will be a list of numbers representing the players in the game. The second will be a list of words in the rhyme. The second application is one that computes prime numbers using the Sieve of Eratosthenes. Further, suppose the rhyme has three words A, B, C. There will be five rounds played with one player eliminated in each round.
In the following table, fill in the players next to the part of the rhyme they say in each round. Cross out the players as they are eliminated. The first round has been completed for you. Suppose we have five players named 1, 2, 3, 4, and 5. There will be four rounds played. Round 1. Primes Suppose you are interested in finding the primes between 2 and 15 inclusive.
The list of candidates is: Candidates:. The algorithm proceeds in rounds. In each round a single prime is discovered and numbers that have that prime as a factor are eliminated. Round 1: Cross the first value off of the Candidates list and add it to the Primes list. Cross out any candidate that is divisible by the prime you have just discovered and add it to the composites list. Round 2: To make the operation of the algorithm clearer, copy the contents of the lists as they appear at the end of the previous round.
Cross the first value off of the Candidates list and add it to the Primes list. Round 3: Again, copy the contents of the lists as they appear at the end of the previous round. Candidates: Primes: Composites: You can complete the other rounds if you wish, but most of the interesting work has been completed.
Finding Composites The heart of this algorithm is removing the composite values from the candidates list. In the first round, after removing the 2, the list of candidates is Candidates:. Since 4 is divisible by 2, we need to remove it from the list of candidates.
What is the new list of candidates after the 4 is removed? Since 6 is divisible by 2, we need to remove it from the list of candidates. What is the new list of candidates after the 6 is removed? Develop an algorithm to examine all the values in the candidates list and remove them if they are divisible by the given prime.
Take a look at that code now if you have not done so already. Also before you start, make sure you are familiar with the methods available to you in the AList class check ListInterface. Step 1. Checkpoint: If all has gone well, the program will run and accept input. It will then generate a null pointer exception. The goal now is to create the list of players. Step 2.
Checkpoint: Compile and run the program. Enter 3 for the number of players. The next goal is to do one round of the game.
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