There are 5 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 (3, 2)
Distance from target shape to blue right_triangle at (1, 1): 3
Distance from target shape to gray right_triangle at (1, 3): 3
Distance from target shape to red square at (0, 3): 4
Distance from target shape to orange square at (2, 3): 2
Closest shape is the orange square at (2, 3) with distance 2</think>

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