Meeting Point

99 athletes (consisting of three groups of 33 athletes) are lined up on a straight line. The first group of athletes are lined up so that one of them will be found in every 103 meters; the second group of athletes are lined up so that one of them will be found in every 107 meters, and the third group of athletes are lined up so that one of them will be found in every 109 meters. (If we set the starting point as 0m, the positions of the first six athletes would be as follows: 103m, 107m, 109m, 206m, 214m, 218m).

After your signal, these 99 athletes will meet on a meeting point you choose. Where should the meeting point be, in order to minimize the total distance taken by all the athletes?

(Enter the distance between the starting point and the meeting point)

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