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THE SALESMAN IS A VISITOR AND HE IS TELLING THE TRUTH. IF THE WOMAN IS A VISITOR, AND ASKED IF SHE IS A VISITOR, SHE WILL ANSWER TRUTHFULLY: "YES". IF THE WOMAN IS A NATIVE, AND ASKED IF SHE IS A VISITOR, SHE WILL ANSWER FALSELY: "YES". IN EITHER CASE, THE WOMAN WILL ANSWER, "YES." SINCE THE SALESMAN DID NOT LIE, HE HAS TO BE A VISITOR TOM IS THE KILLER AND BILL SPOKE THE TRUTH. IF BILL WAS THE KILLER, BOTH TOM AND HARRY WILL BE TELLING THE TRUTH. IF HARRY WAS THE KILLER, NONE OF THE STATEMENTS WILL BE TRUE. IF MIKE WAS THE KILLER, NONE OF THE STATEMENTS WILL BE TRUE BERTIE IS THE MOLE. BOTH ALBERT AND CEDRIC ARE TELLING THE TRUTH. WHEN ALBERT SAID, "BERTIE IS A MOLE," HE WAS TELLING THE TRUTH, AND GIVING THE CORRECT ANSWER. WHEN BERTIE SAID, "CEDRIC IS A MOLE," HE WAS LYING, AS HE HIMSELF IS A LYING MOLE. WHEN CEDRIC RESPONDED, "BERTIE IS LYING," HE WAS TELLING THE TRUTH, AND ALSO AFFIRMING THAT BERTIE WAS LYING THE GREEN ONE IS TELLING THE TRUTH. LETS ASSUME THAT ONE OF THEM IS TELLING THE TRUTH AND THEN TRY TO PROVE THAT. SINCE ALL FOUR SERVANTS ARE DISAGREEING THEN 3 OF THEM MUST BE LYING. THE SERVANT TELLING THE TRUTH WILL HAVE EITHER 6 OR 8 LEGS. THE OTHER 3 SERVANTS WILL HAVE 7 LEGS SINCE THEY LIE. SO THE TOTAL NUMBER OF LEGS SHOULD BE EITHER 27 (6 + 7 + 7 + 7) LEGS OR 29 (8 + 7 + 7 +7) LEGS. ONLY GREEN SERVANT COULD BE TELLING THE TRUTH AS IT SAID 27 LEGS. ALTERNATIVELY, LET'S SAY BLUE IS TELLING THE TRUTH: SO THE BLUE ONE HAS EITHER 6 OR 8 LEGS. AND EACH OF THE OTHER OCTOPUSES ARE LYING HENCE HAVE 7 LEGS EACH. SO OUR TOTAL NUMBER OF LEGS: 6 + 7 + 7 + 7 = 27 LEGS OR 8 + 7 + 7 + 7 = 29 LEGS. BUT SINCE BLUE SAID THAT ALTOGETHER THEY HAVE 28 LEGS, WE KNOW HE IS LYING. IF YOU FOLLOW THIS SAME LOGIC FOR ALL OF THEM, YOU REALIZE THAT ONLY THE GREEN OCTOPUS CAN BE TELLING THE TRUTH AS THE NUMBER OF LEGS ADDS UP