KöMaL 2015 K464
A teacher instructed the students to count from 1 to 1000 while keeping the following rules. In each calculation step, one can choose to either multiply the previous result by a fixed one digit number selected in advance, or just add 1 to it. Which number should be chosen to be in order to be able to reach 1000 in the least number of steps?
Official text KöMaL. Quoted with source.
Solutions
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