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MathNet 2005 — Part 02 Question 18

Math Olympiad Vault · MathNet 2005 — Part 02

Question 18

Alan must choose a number with 37 digits different from 0 and write it on the pizza. Next, Beto can erase some digits of Alan's number (not all). Beto's objective is that the new number that falls on the pizza is multiple of 271. Decide if Alan can choose the number so that Beto finds it impossible to achieve his objective.