Professor Layton and the Shining Stone

Disclaimer: For the last time, the Prof and his many friends aren't my property. BTW, good luck with that cool looking crossover, Team Layton…

Rating: PG.

Summary: The rarest treasure in America, known as the Shining Stone, has been stolen from the house of one of the Professor's colleagues. Together with his self-proclaimed apprentice, Luke, and his unofficial adopted daughter, Flora, Layton has been asked to unravel the mystery…

Welp, time to start the Post-Story Puzzles again. I warn you, these ones are actually fairly difficult, averaging 70 Picarats (as you'd expect from Post-Story stuff) so prepare to tear out a lot of hair. (BTW, I'm doing them in sets of three, since you get three puzzles for each achievement in the Prof Layton games. Here's the first achievement's first puzzle.

With that out of the way, here's the first hair tearing fest.

Contrary to what rumours say, Don Paulo had once experienced a brief stint in jail. After three days in, the warden called him to his room, along with 22 other prisoners. He told them, "You may meet today and plan a strategy. But after today, you will be in isolated cells and will have no communication with one another.

"In the prison is a switch room, which contains two light switches, labelled 1 and 2, each of which can be in either up or the down position. I am not telling you their present positions. The switches are not connected to anything.

"After today, from time to time whenever I feel so inclined, I will select one prisoner at random and escort him to the switch room. This prisoner will select one of the two switches and reverse its position. He must flip one switch when he visits the switch room, and may only flip one of the switches. Then he'll be led back to his cell.

"No one else will be allowed to alter the switches until I lead the next prisoner into the switch room. I'm going to choose prisoners at random. I may choose the same guy three times in a row, or I may jump around and come back. I will not touch the switches, if I wanted you dead you would already be dead.

"Given enough time, everyone will eventually visit the switch room the same number of times as everyone else. At any time, anyone may declare to me, 'We have all visited the switch room.'

"If it is true, then you will all be set free. If it is false, and somebody has not yet visited the switch room, you will all die horribly. You will be carefully monitored, and any attempt to break any of these rules will result in instant death to all of you."

Don Paulo was doubtful as to what exactly was going on regarding the warden's 'generosity', but he decided not to answer for fear of being beaten to within an inch of an inch of his life. He therefore gathered the other prisoners around, and they began discussing ideas.

Sadly, Don Paulo was nowhere near as logically gifted as Professor Layton, and so he turned to you, one of the prisoners, for guidance. (Incidentally, you're in here for constantly soft resetting your Professor Layton games to avoid unnecessary loss of Picarats. Cheater.)

So, what do you propose?

Post note: …And that's that!

This one's worth about 75 Picarats (and it's only going to get worse). Here are the key facts:

23 prisoners in jail.

Each day, one of the prisoners will be led to the switch room (choice of who is random).

How many will go to the switch room in one day is also random.

Two switches in the switch room.

Whoever is led to the switch room must choose one of the switches and change its position (on or off). Then s/he is sent back to the cell.

Once one of the prisoners thinks that everyone's visited the switch room, then s/he has to say so.

If everyone hasn't, you all face death.

TASK: Work out a way to free everyone. And you have to, or you get killed so hard you die to death.

If anyone else has any puzzles they want to submit, then feel free to leave them in your reviews (and please do, I'm getting sorta lonely)!

Check back here for the solution!