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SPLIT INTO 4 GROUPS: 2 GROUPS OF 3, 1 GROUP OF 2 AND YOU. ALL GO IN SEPARATE DIRECTIONS AND RETURN TO THE STARTING POINT IN 16 HOURS. THE TRICK IS TO DETERMINE WHO ARE THE SPIES. REMEMBER THAT THEY WILL NOT ALWAYS LIE. IF YOU FIND THE VILLAGE, TAKE THE SAME PATH AGAIN. IF YOU DID NOT FIND THE VILLAGE AND EVERYONE IN THE 2 GROUPS OF 3 ALSO REPORT THAT THEY DID NOT FIND THE VILLAGE, THEN IT IS DOWN THE PATH WITH THE GROUP OF 2 MEN AND THEY ARE BOTH SPIES. IF ONLY ONE OF THE GROUPS OF 3 HAS ONE MAN WHO SAY THAT THE VILLAGE IS THERE, THEN HE IS RIGHT AND THE OTHER TWO MEN ARE SPIES. IF BOTH GROUPS OF 3 ARE IN DISAGREEMENT, THEN THE MAJORITY VOTE WINS. EACH GROUP OF 3 HAS 1 SPY EACH. IF THE GROUP OF 2 IS IN DISAGREEMENT AND OF THE GROUPS OF 3 IS ALSO IN DISAGREEMENT, THEN WE CAN TRUST THE MAJORITY IN THE GROUP OF 3. IF IT'S NOT IN THE PATH OF EITHER OF THE GROUPS OF 3 MEN, THEN TAKE THE PATH WITH THE TWO IN DISAGREEMENT 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 YOU ASK EACH TWIN WHAT WOULD YOUR BROTHER SAY?. THIS WORKS BECAUSE.... WELL LET'S SAY THE CORRECT PATH IS ON THE LEFT SIDE. SO SAY YOU ASKED THE LIAR "WHAT WOULD YOUR BROTHER SAY?" WELL, THE LIAR WOULD KNOW HIS BROTHER WAS HONEST AND HE WOULD SAY THE LEFT SIDE, BUT SINCE THE LIAR LIES, HE WOULD SAY RIGHT. IF YOU ASKED THE HONEST TWIN THE SAME QUESTION, HE WOULD SAY RIGHT, BECAUSE HE KNOWS HIS BROTHER WILL LIE. THEREFORE, YOU WOULD KNOW THAT THE CORRECT PATH WAS THE LEFT! THE QUESTION IS: "WHAT WOULD THE OTHER ANGEL SAY, IF I ASKED WHICH GATE LEADS TO HEAVEN?". AND DO EXACTLY THE OPPOSITE OF WHAT THE ANGEL SAYS. IF THE LEFT GATE LEADS TO HEAVEN: THE ANGEL THAT TELLS THE TRUTH WILL SAY THAT IT'S THE RIGHT GATE SINCE IT KNOWS THAT THE OTHER ANGEL WILL LIE. THE ANGEL THAT LIES WILL ALSO SAY THAT IT'S THE RIGHT GATE SINCE IT KNOWS THAT THE OTHER ANGEL WILL TELL THE TRUTH. THE SAME EXPLANATION APPLIES IF THE RIGHT GATE LEADS TO HEAVEN