Consider A is a person, is there any possibility to find if he is awake or asleep?, Maybe the lines on the finger be compressed or the blood flow might be low while sleeping.

  • This is not really related to the question, but consider using Alice, Bob, Charlie etc. instead of A, B, C... to distinguish between hypothetical persons; it makes your sentences easier to read – Annonymus Jul 23 '16 at 13:05

The fingerprint of a person doesn't change when they're asleep, but their heart rate and breathing slows. It is also possible to determine whether they are asleep or not by monitoring activity in their brain and muscles or watching their eyes. If they are in a REM (rapid eye movement) phase their eyes will move.

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