ids is a string array like ["id_1", "id_2", ...] and letters is a
parallel string array like ["A", "B", "C", ...]. Return a 2-column integer array
where column 0 is ids with the "id_" characters stripped and converted to int,
and column 1 is letters mapped A→1, B→2, C→3, D→4, E→5, F→6.
solve(...)