MATH.9:2 - Problem

A problem can allow several answers while supplying no distinction that a requested deterministic rule is allowed to use. An arbitrary tie-break can then violate relabeling or rotation consistency.

Normalization can hide the same difficulty. Two transformations may put the input into the same representative form but return a proposed answer to different places. A common representative alone leaves that choice unresolved.

The task is to determine which permitted outputs respect the symmetries of the supplied input, then extend those choices consistently to related inputs.