Question 56
The numbers $-1011, -1010, \dots, -1, 1, 2, \dots, 1010, 1011$ are arranged as $a_1, a_2, \dots, a_{2022}$ in some order.
Find the maximal possible value of
$$|a_1| + |a_1 + a_2| + |a_1 + a_2 + a_3| + \dots + |a_1 + a_2 + \dots + a_{2022}|.$$ (Yahor Dubovik)
Find the maximal possible value of
$$|a_1| + |a_1 + a_2| + |a_1 + a_2 + a_3| + \dots + |a_1 + a_2 + \dots + a_{2022}|.$$ (Yahor Dubovik)