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L _ _ R Clue
THE QUESTION ONE COULD ASK IS: IF I WERE TO ASK YOUR BROTHER WHETHER YOU ALWAYS TELL THE TRUTH, WHAT WOULD HE SAY? A REPLY OF "NO" MEANS YOU ARE TALKING TO THE TRUTH TELLER, A REPLY OF "YES" MEANS YOU ARE TALKING TO THE LIAR. ANOTHER POSSIBLE QUESTION IS: IF I WERE TO ASK YOU WHETHER YOU ALWAYS TELL THE TRUTH, WHAT WOULD YOU SAY?" IN THE SECOND CASE A REPLY OF "YES" MEANS YOU ARE TALKING TO THE TRUTH TELLER AND A REPLY OF "NO" MEANS YOU ARE TALKING TO THE LIAR THE QUESTION IS: WOULD YOUR BROTHER SAY THAT YOU TELL THE TRUTH? THE SOLUTION IS TO FIND A QUESTION THAT THE TWO BROTHERS WOULD ANSWER DIFFERENTLY, AND THAT DIFFERENCE WOULD THEREFORE IDENTIFY THE TWO FROM EACH OTHER. FOR THIS CASE, THE LYING BROTHER WOULD ANSWER THE ABOVE QUESTION "YES." THE TRUTHFUL BROTHER WOULD ANSWER THE SAME QUESTION "NO." ANOTHER POSSIBLE QUESTION IS: ARE YOU TWINS? THE MAN ASKS: IF YOU WERE THE OPPOSITE ONE (MEANING IF THE TRUTH-TELLING ONE WAS THE LIAR, ETC.), WHO WOULD YOU SAY IS THE ORACLE? THEN THE TRUTH-TELLER WOULD HAVE TO POINT TO THE FAKE ONE AND THE THE LIAR WOULD HAVE TO POINT TO HIMSELF THE TRAVELER ASKED, "WHICH ROAD GOES TO YOUR VILLAGE". HE WOULD THEN TAKE THE ROAD THE VILLAGER POINTED TO. IF THE MAN IS A TRUTHFUL PERSON, HE WOULD POINT TOWARDS THE TRUTHFUL VILLAGE. IF HE'S A LIAR, HE WOULD ALSO POINT TO THE TRUTHFUL VILLAGE