I may be overcomplicating things but the first sentence of preamble is a little vague. Does it matter which version of the grid is submitted? We clearly need to know both versions to perform the final task.
Also “must be represented” sounds to me like an instruction for the solver. I have scanned the grid looking for a word describing the transformation but have not found anything.
Perhaps it simply means the original grid must be transformed to the alternative grid before submission - which is what I intend to do.