There are 3 shapes on a 4x4 grid. Which shape is closest to the purple rectangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
<think>Target shape: purple rectangle at (2, 2)
Distance from target shape to orange square at (3, 1): 2
Distance from target shape to red rectangle at (3, 0): 3
Closest shape is the orange square at (3, 1) with distance 2</think>

<answer>(3, 1)</answer>