Monks

There is a town with $N$ people and initially, the $i^{th}$ person has $A_i$ coins. However, some people of the town decide to become *monks*. If the $i^{th}$ person becomes a monk, then: - He leaves the town thereby reducing the number of people in the town by $1$. - He distributes $X$ $(0 \le X \le A_i)$ coins to the remaining people of the town (not necessarily equally). Note that each monk can