The Cruel game
On a pirates' ship, the captain wants to play a game with 45 prisoners who are arranged in a circle and numbered from 1 to 45. Starting from the first and count from 1 to 5, the 5th will be killed then continue to count from 1 to 5 again and again.
Which are the last 2 prisoners who are alive?
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1 solution
Last surviving prisoner.
= 2 * (45 - 5^2) + 1.
= 41, one half of the given four combos.