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MIKE COOPER IS THE CULPRIT. WE CAN EXCLUDE MARTIN FROM OUR INVESTIGATIONS AS HE WAS THE VICTIM. TERRY SINGER POSSESSES AN ORANGE CAR. THE THIEF POSSESSES A BLUE CAR, THUS TERRY SINGER CANNOT BE THE CULPRIT. THE SUSPECT WHO OWNS A BLUE CAR WAS WEARING PURPLE SHOES. THE SUSPECT WHO WEIGHS 190 POUNDS WAS WEARING PURPLE SHOES. THE SUSPECT WHO WEIGHS 190 POUNDS IS NOT THE ONE WHO HAS BLACK HAIR. THEREFORE, ONE SUSPECT WAS WEARING PURPLE SHOES, POSSESSES A BLUE CAR, WEIGHS 190 POUNDS, AND IS NOT THE ONE WHO HAS BLACK HAIR. BUT JIM CONDON WAS WEARING BROWN SHOES, SYLVIAN BOGARD HAS BLACK HAIR, JONAH JAMESON WEIGHS 210 POUNDS, AND TERRY SINGER POSSESSES AN ORANGE CAR. THEREFORE, THE ONLY SUSPECT WHO COULD BE THIS SUSPECT IS MIKE COOPER. AS MIKE COOPER, OWNS A BLUE CAR AND THE THIEF OWNS A BLUE CAR, HE IS DEFINITELY THE THIEF NOTE THAT IT'S THE AGENT WITH THE GREEN BADGE AND NOT AGENT GREEN TALKING TO AGENT RED. AS THE AGENT WITH THE GREEN BADGE HAS SPOKEN TO AGENT RED, WE KNOW THAT AGENT RED DOESN'T HAVE A GREEN BADGE. WE ALREADY KNOW HE DOESN'T HAVE A RED BADGE. THEREFORE HE HAS A YELLOW BADGE. THE AGENT WITH THE GREEN BADGE CANNOT BE AGENT RED, NOR CAN HE BE AGENT GREEN, THEREFORE HE IS AGENT YELLOW. SO AGENT YELLOW HAS A GREEN BADGE, AND AGENT RED HAS A YELLOW BADGE, MEANING AGENT GREEN MUST HAVE A RED BADGE 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 JEFF KILLED MIKE. JACK IS NOT THE MURDERER, BECAUSE HE IS THE BROTHER OF THE MURDERER. DAN CAN'T BE THE MURDERER SINCE HE RAN A MARATHON, AND THE MURDERER RECENTLY HAD HIS LEG AMPUTATED, AND WOULDN'T BE RUNNING A MARATHON OF ANY MAGNITUDE THAT QUICKLY. BEN IS NOT THE MURDERER IF HE JUST MET JACK, SINCE JACK AND THE MURDERER GREW UP TOGETHER. THIS LEAVES JEFF AND MIKE. SINCE JEFF IS STILL ALIVE (HE WANTS TO INSTALL A NEW COMPUTER NEXT WEEK) HE MUST BE THE MURDERER. MIKE ALSO DIDN'T GROW UP WITH JACK. IT HAS BEEN DETERMINED THAT JACK, DAN AND JEFF ARE ALL ALIVE. BEN MUST ALSO BE ALIVE SINCE JEFF PLANS TO INSTALL BEN'S COMPUTER NEXT WEEK. THIS MEANS THAT JEFF KILLED MIKE