This is the file: // Peevish_Postman.java import java.util.*; /* * CPS 150 * Algorithms & Programming I * * Lab Project: The Peevish Postman Problem (Java Boolean Arrays) * * Name: */ public class Peevish_Postman { public static void main(String[] args) { boolean[] doors; final int NUM_DOORS = 100; final boolean OPEN = true; final boolean CLOSED = false; // Initialize the doors doors = new boolean[NUM_DOORS+1]; // We will not use doors[0] for (int i = 1; i <= NUM_DOORS; i++) { doors[i] = CLOSED; } // Print the initial state of each door (1-100) for (int i = 1; i <= NUM_DOORS; i++) { System.out.print("Door " + i + " is "); if (doors[i]) { System.out.println("open."); } else { System.out.println("closed."); } } // ADD YOUR CODE BETWEEN THIS LINE ... // ... AND THIS LINE // Print the final state of each door (1-100) for (int i = 1; i <= NUM_DOORS; i++) { System.out.print("Door " + i + " is "); if (doors[i]) { System.out.println("open."); } else { System.out.println("closed."); } } } // end main method } // end class Peevish_Postman CPS 150 Lab Project 24: ThePeevish Postman Problem (JavaBoolean Arrays)This lab project is due on Wednesday,April 6, 2022, 12:30 pm.British puzzle maker H. E. Dudeneyconcocted an interesting puzzle about abored postman called the "Peevish PostmanProblem". According to Dudeney, thepostman worked in a small post office withconsecutive letter boxes numbered 1 to 100.Each box was equipped with a door thatcould be opened and closed. Late oneevening the postman made a "pass" throughthe boxes and opened every door. Stillbored, he walked back to the beginning andmade a second pass, this time visiting boxes2, 4, 6, .., 100. Since those doors were nowopen, he closed them. On the third pass hevisited boxes 3, 6, 9, 12, ..., 99 and if a doorwas open he closed it, and if the door wasclosed he opened it. He continued to makepasses through the boxes and alwaysfollowed the same rule: On each pass i from1 to 100, he visited only boxes that weremultiples of i, ... and changed the state ofeach door he visited. After making 100passes at the doors, he surveyed the resultsand was surprised by the pattern of doorsthat he saw.The code below uses a boolean array torepresent the doors. A true value in thearray represents an open door, and a falsevalue represents a closed one.Create a new Eclipse project namedLab_Project_24, and download and importthe Peevish_Postman.java source code file.Then, complete the code so that it simulatesthe Peevish Postman problem as describedabove. You will have to write two nestedloops in order to manipulate the array asdescribed above. The inner loop will controlthe door number visited on a single pass,and the outer loop will control the numberof passes.The puzzle was conceived as a paper andpencil entertainment. Can youdescribe/explain the final pattern of doors?Note: Because the doors are numberedstarting at one, we will waste the firstposition (i.e., index 0) in the array. In thiscase, the default value will be set to false. Byignoring the first position, the door numbersmatch their index positions in the array.What Do I Hand In?• Enter your explanation of the doorpattern in the space provided.• Attach your completed source code(Peevish Postman.java) file below.Then click Submit.

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Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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// Peevish_Postman.java import java.util.*; /* * CPS 150 * Algorithms & Programming I * * Lab Project: The Peevish Postman Problem (Java Boolean Arrays) * * Name: */ public class Peevish_Postman { public static void main(String[] args) { boolean[] doors; final int NUM_DOORS = 100; final boolean OPEN = true; final boolean CLOSED = false; // Initialize the doors doors = new boolean[NUM_DOORS+1]; // We will not use doors[0] for (int i = 1; i <= NUM_DOORS; i++) { doors[i] = CLOSED; } // Print the initial state of each door (1-100) for (int i = 1; i <= NUM_DOORS; i++) { System.out.print("Door " + i + " is "); if (doors[i]) { System.out.println("open."); } else { System.out.println("closed."); } } // ADD YOUR CODE BETWEEN THIS LINE ... // ... AND THIS LINE // Print the final state of each door (1-100) for (int i = 1; i <= NUM_DOORS; i++) { System.out.print("Door " + i + " is "); if (doors[i]) { System.out.println("open."); } else { System.out.println("closed."); } } } // end main method } // end class Peevish_Postman