Smaller Sum

An array $A = [A_1, A_2, \ldots, A_N]$ is said to be good when the following condition holds: - For every pair of subsets $X$ and $Y$ of indices in the range $[1, N]$, such that $|X| < |Y|$, it holds that the sum of elements in $X$ is **strictly smaller** than the sum of elements in $Y$. More formally, it should hold that $\sum_{i \in X}A_i < \sum_{i \in Y}A_i$. For example, $[2, 2, 3]$ is a g