You are one of 9 prisoners to be executed tomorrow. The wicked king, who we all know ejoys playing cruel games, puts the fate of all of you in YOUR hands. Tomorrow he will line each of the other 8 prisoners up side by side, and give them each a RED or BLACK hat. He tells you the hats will be split evenly, 4 RED and 4 BLACK, but in any order. No prisoner can see their own, nor the other prisoners hats, but they know what order they stand in line. (Left to right- 1st, 2nd, 3rd, etc.) The king will allow you to say ONLY one number, positive or negative between 0-32. (The positive and negative makes it much easier to work when solving) However the king has underestimated your abilities! Devise a plan to inform each prisoner the color of their hat with a single number.
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You are one of 9 prisoners to be executed tomorrow. The wicked king, who we all know ejoys playing cruel games, puts the fate of all of you in YOUR hands. Tomorrow he will line each of the other 8 prisoners up side by side, and give them each a RED or BLACK hat. He tells you the hats will be split evenly, 4 RED and 4 BLACK, but in any order. No prisoner can see their own, nor the other prisoners hats, but they know what order they stand in line. (Left to right- 1st, 2nd, 3rd, etc.) The king will allow you to say ONLY one number, positive or negative between 0-32. (The positive and negative makes it much easier to work when solving) However the king has underestimated your abilities! Devise a plan to inform each prisoner the color of their hat with a single number.
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