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3LAU pfp
3LAU
@3lau
The jailer is going to ask the color of each prisoner’s hat starting from the last prisoner in queue. If a prisoner says the correct color, they are saved. What rule can the prisoners make to guarantee 99 would be saved if they are allowed to discuss a strategy before the jailer starts asking colors of their hats?
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David Furlong
@df
1st person counts # of red hats, and if is even says red, otherwise black.50% survival of first person, next person counts red hats in front and if is even and prev person said red, says is black, if # red is odd & prev said red, knows is red (says so), opposite if 1st person said black.next person does same from prev
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David Furlong pfp
David Furlong
@df
as in 1st person to go counts the # of red hats in front
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David Furlong pfp
David Furlong
@df
and following people need to keep count of the original even/odd count, count the even/odd ahead and what the people who have gone before them have said to to deduce their color. didnt all fit in 1 cast
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