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# Help with 2 problems

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1) Let $$p(x,y) = \begin{cases} x + y &\quad \text{if } x \ge 0 \text{ and } y \ge 0, \\ x - 2y &\quad \text{if } x < 0 \text{ and } y < 0, \\ 3x + y &\quad \text{otherwise}. \end{cases}$$

What is p(p(1,-1),p(-5,-2))?

2) How many positive integers $$n\le 2009$$ have the property that $$\lfloor{\log_2(n)}\rfloor$$ is odd?]

Thanks!

Aug 10, 2019