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CHALLENGE 001:
If a video game starts with 3 players on level 1... and to progress to level 2 each player must kill another, or wait until there are no opponents left (i.e. they are dead or have progressed to the next level), then there will be 2 players on level 2, and ultimately, only one player will reach level 3. The winner!
But. If n players start at level 1 - with the same rules - what is the maximum level that the winner will ultimately reach?
I'm not yet sure if this problem can be solved, but please have a go!
If a video game starts with 3 players on level 1... and to progress to level 2 each player must kill another, or wait until there are no opponents left (i.e. they are dead or have progressed to the next level), then there will be 2 players on level 2, and ultimately, only one player will reach level 3. The winner!
But. If n players start at level 1 - with the same rules - what is the maximum level that the winner will ultimately reach?
I'm not yet sure if this problem can be solved, but please have a go!
