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C H _ M P _ _ N Clue
YES. HE TOOK AS MUCH TIME FOR THE SECOND HALF OF HIS TRIP AS THE WHOLE TRIP WOULD HAVE TAKEN ON FOOT. SO NO MATTER HOW FAST THE TRAIN WAS, HE LOST EXACTLY AS MUCH TIME AS HE SPENT ON THE TRAIN. HE WOULD HAVE SAVED 1⁄30 OF THE TIME BY WALKING ALL THE WAY THEY STOLE 301 DIAMONDS IN TOTAL. WE NEED A NUMBER THAT IS A MULTIPLE OF 7 THAT WILL GIVE A REMAINDER OF 1 WHEN DIVIDED BY 2, 3, 4, 5, AND 6. THE LEAST COMMON MULTIPLE OF THESE NUMBERS IS 60. SO, WE NEED A MULTIPLE OF 7 THAT IS 1 GREATER THAN A MULTIPLE OF 60. 60 + 1 = 61, NOT A MULTIPLE OF 7 60 X 2 + 1 = 121, NOT A MULTIPLE OF 7 60 X 3 + 1 = 181, NOT A MULTIPLE OF 7 60 X 4 + 1 = 241, NOT A MULTIPLE OF 7 60 X 5 + 1 = 301, A MULTIPLE OF 7 29 MATCHES ARE REQUIRED TO DETERMINE THE WINNER. EVERY TIME A MATCH IS HELD, ONE PLAYER IS ELIMINATED AND TO ELIMINATE 29 OF THE 30 PLAYERS, 29 MATCHES ARE REQUIRED 149 (150 - 1) GAMES, SINCE ALL BUT ONE LOSE ONE GAME. TO MAKE IT SIMPLER, ASSUME THERE ARE 3 MEMBERS. ONLY 2 GAMES NEED TO BE PLAYED TO DETERMINE THE CHAMPION