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Truth/Lies Logic Puzzles

Instructions: Someone committed a crime, and the police have gathered statements from everyone. Use logic and the fact that each person either always lies or always tells the truth to figure out who is the guilty party!

See the answer for last week's puzzle

Brian said:

Catherine lies.
Catherine stole the candy bar.
Catherine said:
Exactly one person, David or Brian, lies.
Cynthia stole the candy bar.
Cynthia said:
Catherine lies
David didn't steal the candy bar.
David said:
Either Catherine or I tell the truth, but not both of us.
I didn't steal the candy bar.

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