KöMaL 2021 K688

$a)$ Is it possible to form pairs out of the numbers $1, 2, 3, 4, \dots, 23, 24$, so that the sum of each pair should be a perfect square? $b)$ Is it possible to form pairs out of the numbers $1, 2, 3, 4, \dots, 21, 22$ so that the sum of each pair should be a perfect square?