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 (0, 2)
Distance from target shape to orange rectangle at (3, 1): 4
Distance from target shape to yellow right_triangle at (0, 3): 1
Closest shape is the yellow right_triangle at (0, 3) with distance 1</think>

<answer>(0, 3)</answer>