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There are 69806980 lockers numbered inorder from 1 to 69806980 along a hall. At any given point, each lockeris in one of two possible states---either
There are 69806980 lockers numbered inorder from 1 to 69806980 along a hall. At any given point, each lockeris in one of two possible states---either its door isopenor its door isclosed. To begin with, all of thelocker doors are closed. You are given the following step by stepinstructions:
- Change the state of all of the lockers.
- Change the state of every second locker.
- Change the state of every third locker.
Change the state of the last locker.
What is the largest locker that will be open after this is done?
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