Question 25
For how many numbers $$π$$ in the set $$\left\{1,2,3,....,37\right\}$$ can we split the $$2π$$ numbers $$1, 2, β¦ , 2π$$ into $$π$$ pairs $$\left\{a_{i},b_{i}\right\},1 \neq i \neq n$$, such thatb $$\prod_{i=1}^{n}(a_{i},b_{i})$$ is a square?
Correct Answer: 36
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