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On a natural number $$n$$ you are allowed two operations: (1) multiply $$n$$ by $$2$$ or (2) subtract $$3$$ from $$n$$. For example starting with $$8$$ you can reach $$13$$ as follows: $$8\rightarrow 16\rightarrow 13$$. You need two steps and you cannot do in less than two steps. Starting from $$11$$, what is the least number of steps required to reach $$121$$?
Correct Answer: 10
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