86. 
Twenty five of King Arthur's knights are seated at their customary round table. Three of them are chosen  all choices being equally likely  and are sent off to slay a troublesome dragon. Let be the probability that at least two of the three had been sitting next to each other. If is written as a fraction in lowest terms, what is the sum of the numerator and the denominator? This problem is copyrighted by the American Mathematics Competitions.

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