There are 6 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 (1, 5)
Distance from target shape to pink trapezoid at (2, 4): 2
Distance from target shape to blue trapezoid at (8, 5): 7
Distance from target shape to orange rectangle at (5, 8): 7
Distance from target shape to red square at (4, 5): 3
Distance from target shape to yellow square at (7, 1): 10
Closest shape is the pink trapezoid at (2, 4) with distance 2</think>

<answer>(2, 4)</answer>