1967 IMO Problems/Problem 6

In a sports contest, there were m medals awarded on n successive days (n > 1). On the first day, one medal and 1/7 of the remaining m - 1 medals were awarded. On the second day, two medals and 1/7 of the now remaining medals were awarded; and so on. On the n-th and last day, the remaining n medals were awarded. How many days did the contest last, and how many medals were awarded altogether?

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