Question 62
Given $n \ge 2$ pairwise distinct integers bigger than $-a$, such that among them the amount of odd numbers equals to the largest even number and the amount of even numbers equals to the largest odd number.
a) Find the minimal possible $n$ over all positive integers $a \ge 2$.
b) For each integer $a \ge 2$ find the maximal possible $n$.
a) Find the minimal possible $n$ over all positive integers $a \ge 2$.
b) For each integer $a \ge 2$ find the maximal possible $n$.