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I have got 100 lamp bulbs with 100 switches. Initially all switches are turned off. After that I change the position of each switch. After that I change the position of each second, third, fourth... hundredth switch. How many bulbs will light up?

 

 Jun 19, 2020
 #1
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have got 100 lamp bulbs with 100 switches. Initially all switches are turned off.

After that I change the position of each switch. After that I change the position of each second, third, fourth... hundredth switch.

How many bulbs will light up?

 

I assume:

 

All lamps will light up on a perfect square position:  {1,4,9,16,25,36,49,64,81,100} = 10 lamps will light up.

 

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 Jun 19, 2020

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