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I also coded a simulation, mine is in js: https://jsfiddle.net/a3ch3s5h/

I only run once, you'll have to run it a few times to get a positive result.

The output is displayed in the js console (F12 on most browsers).

Edit: Something interesting I derived from the solution is that by allowing the first prisoner to reset the experiment if he fails or don't like the result, they get a 100% success rate. The first prisoner just need to wait for an arrangement which place him in a 50 length cycle (which means no other cycle can be of length > 50).



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