A chemistry teacher asked her class to answer the following question: Use java. If I put 10 bacteria on the classroom doorknob tonight, how many bacteria will be on the doorknob by the time we come to school tomorrow? In order to answer this question, you need to know a few things: Each bacterium (a single bacteria) can create 2 more bacteria every hour This means that after one hour, the doorknob will have 10 + 10 * 2 = 30 bacteria, since we started with 10 bacteria and each of those created 2 more. This means that after two hours, the doorknob will have 30 + 30 * 2 = 90, since there were 30 bacteria at the beginning of hour two, and during that hour each bacteria created 2 more bacteria. Continuing this pattern, the number of bacteria on the doorknob after N hours is numberOfBacteriaLastHour + numberOfBacteriaLastHour * 2 However, if we wanted to know how many bacteria are alive after 12 hours, we need to know how many bacteria were alive at hour 11. To find out how many bacteria are alive at hour 11, we need to figure out how many were alive at hour 10. Do you see how we can use recursion to solve this problem? Write a recursive function that computes the number of bacteria alive after N hours. The function signature is public int numBacteriaAlive(int hour)

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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A chemistry teacher asked her class to answer the following question: Use java.

If I put 10 bacteria on the classroom doorknob tonight, how many bacteria will be on the doorknob by the time we come to school tomorrow?

In order to answer this question, you need to know a few things:

  1. Each bacterium (a single bacteria) can create 2 more bacteria every hour
  2. This means that after one hour, the doorknob will have 10 + 10 * 2 = 30 bacteria, since we started with 10 bacteria and each of those created 2 more.
  3. This means that after two hours, the doorknob will have 30 + 30 * 2 = 90, since there were 30 bacteria at the beginning of hour two, and during that hour each bacteria created 2 more bacteria.
  4. Continuing this pattern, the number of bacteria on the doorknob after N hours is
    numberOfBacteriaLastHour + numberOfBacteriaLastHour * 2
  5. However, if we wanted to know how many bacteria are alive after 12 hours, we need to know how many bacteria were alive at hour 11. To find out how many bacteria are alive at hour 11, we need to figure out how many were alive at hour 10. Do you see how we can use recursion to solve this problem?


Write a recursive function that computes the number of bacteria alive after N hours.
The function signature is

public int numBacteriaAlive(int hour)

1 - /* This is the Scratchpad!
This file is not graded, but you can use it to test your code.
2
3
You can write and test your method in the Scratchpad, but make
sure to copy and paste it into the Unit Test file before checking
your answer. Remember to only copy and paste the method you want
to submit, not all of your tests.
*/
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FILES
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D Unit Test
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O Scratchpad.java
10 public class Scratchpad extends ConsoleProgram
11 -
public void run()
{
// Add your own tests here
}
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13 -
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// Copy and paste your Unit Test method here
}
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Transcribed Image Text:1 - /* This is the Scratchpad! This file is not graded, but you can use it to test your code. 2 3 You can write and test your method in the Scratchpad, but make sure to copy and paste it into the Unit Test file before checking your answer. Remember to only copy and paste the method you want to submit, not all of your tests. */ 4 FILES 6 7 8 D Unit Test 9 O Scratchpad.java 10 public class Scratchpad extends ConsoleProgram 11 - public void run() { // Add your own tests here } 12 13 - 14 15 16 // Copy and paste your Unit Test method here } 17 18 19
1 public int numBacteriaAlive(int hour)
2- {
// Hint: The base case should be when hour is 0
// At hour 0, there are 10 bacteria alive
4
FILES
5
// The recursive call should be to figure out how many bacteria were
// alive last hour
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D Unit Test
9
// Then you can return the number of bacteria alive this hour because
// the number of bacteria alive during this hour is
// numberofBacteria = lastHour + lastHour * 2
// where lastHour is the number of bacteria alive at (hour - 1)
D Scratchpad.java
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}
16
!
Transcribed Image Text:1 public int numBacteriaAlive(int hour) 2- { // Hint: The base case should be when hour is 0 // At hour 0, there are 10 bacteria alive 4 FILES 5 // The recursive call should be to figure out how many bacteria were // alive last hour 8 D Unit Test 9 // Then you can return the number of bacteria alive this hour because // the number of bacteria alive during this hour is // numberofBacteria = lastHour + lastHour * 2 // where lastHour is the number of bacteria alive at (hour - 1) D Scratchpad.java 10 11 12 13 14 15 } 16 !
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