********Analyze the problem and explain how you would solve it (there is no need for Java code - simply explain the problem and how you would go about solving it, if all you had was pen and paper)

A school has 100 lockers and 100 students. All lockers are closed on the first day of school. As the students enter, the first student, denoted S1, opens every locker. Then the second student, S2, begins with the second locker, denoted L2, and closes every other locker. Student S3 begins with the third locker and changes every third locker (closes it if it was open, and opens it if it was closed). Student S4 begins with locker L4 and changes every fourth locker. Student S5 starts with L5 and changes every fifth locker, and so on, until student S100 changes L100.

After all the students have passed through the building and changed the lockers, which lockers are open?

(Hint: Remember arrays can also hold boolean - so, you could have an array to hold 100 boolean elements, each of which indicates whether a locker is open (true) or closed (false). Initially, all lockers are closed.)

1. Analysis:

(Describe the problem in your own words.)

2. Design:

(Describe the major steps for solving the problem.)

********Analyze the problem and explain how you would solve it (there is no need for Java code - simply explain the problem and how you would go about solving it, if all you had was pen and paper)