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S W _ T C H _ S Clue
THE SWITCH WILL BE IN THE OFF POSITION. AFTER SWITCHING 4 TIMES, THE SWITCH WILL RETURN TO ITS ORIGINAL POSITION. SO, 3922 / 4 = 980 WITH REMAINDER 2. THE SWITCH WILL BE AT MEDIUM POSITION AFTER SWITCHING 3920 TIMES, AND AT OFF POSITION AFTER ANOTHER 2 SWITCHES 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 ONLY ONCE. AFTER THAT YOU ARE SUBTRACTING FROM A CARTON THAT NO LONGER HAS 25 EGGS IN IT 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