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1) Prove that all values n 12 can be represented with 4-cent and 5-cent stamps by strong induction. 2) Prove that the strategy is optimal

1) Prove that all values n 12 can be represented with 4-cent and 5-cent stamps by strong induction.

2) Prove that the strategy is optimal if there are two stacks of n cards using strong induction

3) What is the function x! : Z+ Z+ and how is it dened recursively? Is it injective? Is it surjective?

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