There are 3 shapes on a 4x4 grid. Which shape is closest to the purple square 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 square at (3, 0)
Distance from target shape to gray rectangle at (0, 3): 6
Distance from target shape to pink square at (3, 2): 2
Closest shape is the pink square at (3, 2) with distance 2</think>

<answer>(3, 2)</answer>