OPM 2006 Problem 6
- Final day 2
Integers to are written in each "Neuro-Millions" bulletin. A bet on "Neuro-Millions" consists of choosing of these numbers. Then, numbers between and are drawn, and these constitute the key to "Neuro-Milh˜oes". A bet is awarded if it does not contain any of the key numbers. How many bets, at least, are necessary to guarantee a prize?
Dataset text AI-MO AoPS. Quoted with source.
Official text: Portuguese Mathematical Olympiad 2006 official paper, page 1.
Solutions
No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.
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