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You meet 10 infants at a hospital, and the nurse provides you a problem: If you go, you’ll be immediately employed there. If you fail, you’ll by no means be employed.
You have to determine every child’s identify, by asking as much as 25 Yes/No/Idk questions. Each child will inform the reality, however they may reply utilizing 4 totally different nonsense syllables, denoted as 1, 2, 3 and 4 on this record. You will know which is 1, which is 2 and so forth.
Avery: Yes – 1, Idk – 1, No, 2
Betty: Yes – 3, Idk – 1, No, 4
Carl: Yes – random 1 or 2, Idk – 4, No, 2
Doug: Yes – random 3 or 4, Idk – 1, No, 4
Ethan: Yes – 4, Idk – random 1 or 3, No, 1
Ferguson: Yes – 4, Idk – random 1, 3 or 2, No, random 3 or 4
George: Yes – 4 Idk – 4, No, random 1 or 2
Harris: Yes – random 1 or 2, Idk – random 1 to 4, No, 3
Ivan: Yes – random 1 to 4, Idk – 2, No, 2
And the final one, Jacob, will reply 1, 2 or 4 randomly, ignoring the query.
Can you go this problem? If so, how?
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