There was a sports competition lasting N days (and N > 1). After the first day they handed out 1 medal and 1/7 of the rest of the medals. After the second day they gave away 2 medals and 1/7 of the rest of the medals, and so forth.
Finally on the Nth day they handed out the remaining N medals.
How many days did the competition last, and how many medals in total were awarded?
FYI: Although this problem may appear simple at first, the solution is actually fairly complex.
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