DE-BUNDESWETTBEWERB 2006 Problem 8
- Round 2
A positive integer is called digit-reduced if at most nine different digits occur in its decimal representation (leading s are omitted.) Let be a finite set of digit-reduced numbers. Show that the sum of the reciprocals of the elements in is less than .
Dataset text AI-MO AoPS. Quoted with source.
Official text: Bundeswettbewerb Mathematik 2006 official paper, page 1.
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