4. Suppose there are 99 lockers numbered 1 through 99, and 99 students numbered 1 through...

4. Suppose there are 99 lockers numbered 1 through 99, and 99 students numbered
1 through 99. Initially, all lockers are closed. Now each odd-numbered student
1, 3, 5, 7, · · · , 99, in numerical order from 1 through 99, will open/close all the lockers
that are numbered to be a multiple of the number of the student. For example, student
1 will open/close all the lockers, and student 3 will open/close all the lockers numbered
by 3, 6, 9, 12, · · · , 99, etc. Now find all the lockers that will be open when all students
are done.
Note: An answer containing a computer search only is worth 10 marks. But you can
start a computer search first and see if the results inspire you.

Expert Solution

Colby Messinger answered 5 months ago

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