In a certain school, there are 50 lockers lining a long hallway. All are closed. Suppose 50 students walk down that hall, in single file, and The first student starts with the first locker goes down the hallway and opens all the lockers The second student starts with the second locker goes down the hallway and shuts every other locker. .The third student stops at every third locker and opens the locker if it is closed or closes the locker if it is open. .The fourth student stops at every fourth locker and opens the locker if it is closed or closes the locker if it is open. The process continues until all 50 students in the class have passed through the hallway. Please answer the following uestions: (1) Which lockers were touched by only two students? Explain why. (2) Which lockers were touched by only three students? Explain why (3) Which lockers are still open at the end of this process? Explain why (4) What do you notice about these particular open lockers? Explain why