Hi. We spent $12k of our investor's capital on dinners for Tuesday and Thursday. Answer the challenges below without AI and you'll get an invite.
There are 100 prisoners and a room with 100 boxes, each box contains a slip of paper with a unique number from 1 to 100.
Each prisoner is assigned a unique number from 1 to 100. The prisoners enter the room one at a time.
Each prisoner can open up to 50 boxes. They cannot communicate with other prisoners in any way during this process.
If every prisoner finds their number, all prisoners go free.
If any prisoner fails, none of them can go free.
Before the process begins, the prisoners are allowed to confer and agree on a strategy.
What is the optimal strategy? As a bonus, what are the optimal odds of success? Show your work and thought process