Everyone Gossips

Logic Level 3

You arrive in a town where everyone is either a truth-teller or a liar. You meet 6 persons (A , B , C , D , E and F) and know that at least 3 of them are truth-tellers, but need more information. You discretely ask them for additional information, and they tell you the following:

A: C and D are both liars.
B: E and F are both truth-tellers.
C: B is a liar and E tells you the truth.
D: A and B are both liars.
E: C and D are both truth-tellers.
F: D is a liar and A is a truth-teller.

Insert your answer as the values 1 and 2, where 1 is inserted for a liar and 2 for a truth teller, in the order from A to F. As an explicit example, if just the second and fourth persons are truth-tellers, then you should submit your answer as 121211.


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