Consider the tollowing scenario: A high school has 1000 students and 1000 lockers, one locker for each student. On the first day of school, the principal plays the following game: She asks the first student to open all the lockers. She then asks the second student to close all the even-numbered lockers. The third student is asked to check every third locker. If it is open, the student closes it; if it is closed, the student opens it. The fourth student is asked to check every fourth locker. If it is open, the student closes it; if it is closed, the student opens it. The remaining students continue this game. In general, the nth student checks every nth locker. If it is open, the student closes it; if it is closed, the student opens it. After all the

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter13: Decision Making Under Uncertainty
Section13.4: Decision Trees
Problem 9P
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kindly change the program following the procedure on the problem. please list the changes you have made on the program  t..thank you

5. Consider the tollowing scenario:
A high school has 1000 students and 1000 lockers, one locker for each student. On the first day of
school, the principal plays the following game: She asks the first student to open all the lockers. She
then asks the second student to close all the even-numbered lockers. The third student is asked to
check every third locker. If it is open, the student closes it; if it is closed, the student opens it. The
fourth student is asked to check every fourth locker. If it is open, the student closes it; if it is closed,
the student opens it. The remaining students continue this game. In general, the nth student checks
every nth locker. If it is open, the student closes it; if it is closed, the student opens it. After all the
The progras below, uhile has the correct output, doesn't follow the gane's logie at all.
Instead, it follows a certain pattern thats present sn the gane.
Consider the 10eth locker. Following the ganes rules, this locker uhould be visited by the 1st, 2nd,
rd, 4th, Sth, 1eth, 2eth, 2sth, setn, and s0eth student. Coincidentally, these are also the positive
divisors of 100. Sinilarly,. the eth locker is visited by the students whose nubers are 1, 2, 3, 5, 6
10, 15, and e. Note that ir the numbers of positive divisors of a 1locker number is odd, then at the
end of the gane, the locker is open. 14 the nubers of positive divisors of a locker nuber is even,
then at the end of the gam, the locker is closed.
import java.util.Scanner;
public člasS Mitertxani
public statie void main(Stringt) args)(
Scanner keyboard - ne Scanner (Systen.in):
int studentvisitcount - e;
Systen.out.print("Enter the nunber of lockers: "):
int nunberofLockers - console.nextInt ():
for(int e usberofeckers; w+)(
studentvisitCount
for(int ye, y, ye
1FCstudentvisitcount21-0)
Systen.out.print(ye" "):
Systen.out.printin("The nunber of lockers and students are: "enunberOFLockers):
Systen.out.print ("The locker nubers of lockers that are left open at the end of the gane are: "):
students have taken turns, some of the lockers are open and some are closed.
The program below, when ran, will prompt the user to enter the number of lockers in the school.
After the game is over, the program will output the number of lockers and the lockers numbers of
the lockers that are open. However, the statements are in the wrong order, and there are some
bugs in this program. Rearrange the statements and also find and remove the bugs so that the
program can run properly.
. Underline the changes you have made.
Transcribed Image Text:5. Consider the tollowing scenario: A high school has 1000 students and 1000 lockers, one locker for each student. On the first day of school, the principal plays the following game: She asks the first student to open all the lockers. She then asks the second student to close all the even-numbered lockers. The third student is asked to check every third locker. If it is open, the student closes it; if it is closed, the student opens it. The fourth student is asked to check every fourth locker. If it is open, the student closes it; if it is closed, the student opens it. The remaining students continue this game. In general, the nth student checks every nth locker. If it is open, the student closes it; if it is closed, the student opens it. After all the The progras below, uhile has the correct output, doesn't follow the gane's logie at all. Instead, it follows a certain pattern thats present sn the gane. Consider the 10eth locker. Following the ganes rules, this locker uhould be visited by the 1st, 2nd, rd, 4th, Sth, 1eth, 2eth, 2sth, setn, and s0eth student. Coincidentally, these are also the positive divisors of 100. Sinilarly,. the eth locker is visited by the students whose nubers are 1, 2, 3, 5, 6 10, 15, and e. Note that ir the numbers of positive divisors of a 1locker number is odd, then at the end of the gane, the locker is open. 14 the nubers of positive divisors of a locker nuber is even, then at the end of the gam, the locker is closed. import java.util.Scanner; public člasS Mitertxani public statie void main(Stringt) args)( Scanner keyboard - ne Scanner (Systen.in): int studentvisitcount - e; Systen.out.print("Enter the nunber of lockers: "): int nunberofLockers - console.nextInt (): for(int e usberofeckers; w+)( studentvisitCount for(int ye, y, ye 1FCstudentvisitcount21-0) Systen.out.print(ye" "): Systen.out.printin("The nunber of lockers and students are: "enunberOFLockers): Systen.out.print ("The locker nubers of lockers that are left open at the end of the gane are: "): students have taken turns, some of the lockers are open and some are closed. The program below, when ran, will prompt the user to enter the number of lockers in the school. After the game is over, the program will output the number of lockers and the lockers numbers of the lockers that are open. However, the statements are in the wrong order, and there are some bugs in this program. Rearrange the statements and also find and remove the bugs so that the program can run properly. . Underline the changes you have made.
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