udosuk wrote:MCC wrote:They could agree to wait a period of time, say 100 days or 200 days or 300 days, to give Bob a chance to set the position of switch #2, then after the agreed time period the prisoners can then start using switch #2.
They only need to switch #2 on the once.
Then after switch #2 has been turn on 22 times Bob can then declare that they have all visited the switch room...
Problem is there is still a possibility (no matter how small) that during that agreed period of time, Bob is never drawed to enter the room... The puzzle requires a 100% watertight scheme that couldn't go wrong (e.g. wrong claim, neverending loop)...
Bob said he'll flip #2 switch several times in the waiting period to indicate that he has visited so that when the time period is up hopefully all the other prisoners will have noticed that Bob has been there and the #2 switch is in the off position, if it isn't, then to wait until it is the off position before beginning.
If a prisoner had been held back and had not noticed that Bob had flipped the switch during the waiting period then he should hold back until he notices that the #2 switch strategy appears to be in operation then he can indicate his visit when it is suitable to do so.
udosuk wrote:MCC wrote:Scenario 2:
The warden is a right bar-steward and on Bob's first visit to the switch room he looked upon the light switches his heart fell He knew they would never be let out.
Why
Turns out MCC is also a right bar-steward and on my first glimpse of this post I looked upon the above paragraph my heart fell I knew I could never answer this...
Why
Let's see what people come up with
MCC