Partition Queries

Let us define the score of an array $B$ $(B_1, B_2, B_3,...,B_k)$ as: $$ \begin{equation} score(B)=\begin{cases} \sum_{i=1}^{k}B_i, & \text{if } k \gt 1 \text{ and } Max(B) - SecondMax(B) \lt X.\\ -\sum_{i=1}^{k}B_i, & \text{otherwise}. \end{cases} \end{equation} $$ Here, $SecondMax(B)$ denotes the second element in $B$ if we sort it in non-increasing order. You are given an array $