Question 6
Let $a_1 \lt a_2 \lt \dots \lt a_{53}$ be positive integers such that the sum of any 27 integers is greater than the sum of the remaining 26 integers.
a) Find the minimum value of $a_1$.
b) Find all possible values of $a_2, \dots, a_{53}$, when $a_1$ is at the minimum value.
a) Find the minimum value of $a_1$.
b) Find all possible values of $a_2, \dots, a_{53}$, when $a_1$ is at the minimum value.