Question: Let be Sa square of side length 1. Two points are chosen independently at random on the sides of S. The probability that the straight-line

Let be Sa square of side length 1. Two points are chosen independently at random on the sides of S. The probability that the straight-line distance between the points is at least (1/2) is(a-2/c), where a,b,c and are positive integers with gcd(a,b,c)=1. What is a+b+c?

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