Question 108
How many permutations $p_1, p_2, \dots, p_{2023}$ of $1, 2, \dots, 2023$ satisfy the equation
$$
p_1 + |p_2 - p_1| + |p_3 - p_2| + \dots + |p_{2023} - p_{2022}| + p_{2023} = 4048?
$$
$$
p_1 + |p_2 - p_1| + |p_3 - p_2| + \dots + |p_{2023} - p_{2022}| + p_{2023} = 4048?
$$