Školjka IMO Shortlist 1967 problem 1
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In a sports meeting a total of 
medals were awarded over 
days. On the first day one medal and 
of the remaining medals were awarded. On the second day two medals and of the remaining medals were awarded, and so on. On the last day, the remaining medals were awarded. How many medals did the meeting last, and what was the total number of medals ?
medals were awarded over days. On the first day one medal and of the remaining medals were awarded. On the second day two medals and of the remaining medals were awarded, and so on. On the last day, the remaining medals were awarded. How many medals did the meeting last, and what was the total number of medals ? Source: Međunarodna matematička olimpijada, shortlist 1967