Pattern - Broken Profile Recognition

Signal $1$: Grid tiling or covering problem. Tiles are small shapes (dominoes, tetrominoes). Signal $2$: One dimension is small (≤ $12$). The other can be large (up to $10^9$ with matrix exp). Signal $3$: Local constraints.

Each placement depends on nearby cells, not global properties. Not applicable: if both dimensions are large, if tiles are irregular, or if constraints are global ($e$.$g$., total count). Recognizing this pattern early saves time during problem-solving.