Hard Series

What is the next number in this series?

4,12,84,3612....




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At the time of the murder, only the murderer was present in the killing room. Any number of people can be present in any of the other rooms at the same time.

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Joseph:
Peter was in the 2nd bedroom.
So was I.
David was in the bathroom.

Mandy:
I agree with Joseph that David was in the bathroom and Peter was in the 2nd bedroom.
But I think that Joseph was in the living room, OH MY GOD!

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Mandy was in the kitchen with Christopher.
But I was in the bathroom.

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I still say Peter was in the 2nd bedroom and Jennifer was in the bathroom.
Joseph was in the 1st bedroom.

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Peter was in the bathroom with Christopher.
And Mandy was in the kitchen.

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David was in the kitchen.
And I was in the 2nd bedroom with Peter.

PS: The corpse was found in the Living Room.

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Artificial Intelligence

Artificial Intelligence has crushed all human records in the puzzle game “2048,” achieving a high score of 839,732 and beating the game in only 973 moves without using any undo.