2023 IOQM/Problem 17
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Consider the set
![\[S = {(a, b, c, d, e) : 0 < a < b < c < d < e < 100}\]](http://latex.artofproblemsolving.com/5/a/1/5a19175e855e1e75dbe778ea39640fe14c646967.png)
where a, b, c, d, e are integers. If D is the average value of the fourth element of
such a tuple in the set, taken over all the elements of S, find the largest integer less
than or equal to D.
