There are 4 shapes on a 9x9 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 (4, 2)
Distance from target shape to pink square at (0, 5): 7
Distance from target shape to green rectangle at (7, 7): 8
Distance from target shape to gray right_triangle at (4, 4): 2
Closest shape is the gray right_triangle at (4, 4) with distance 2</think>

<answer>(4, 4)</answer>