There are 6 shapes on a 9x9 grid. Which shape is closest to the purple trapezoid 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 trapezoid at (3, 1)
Distance from target shape to red trapezoid at (5, 2): 3
Distance from target shape to green square at (8, 8): 12
Distance from target shape to brown trapezoid at (6, 8): 10
Distance from target shape to yellow right_triangle at (8, 3): 7
Distance from target shape to orange square at (0, 5): 7
Closest shape is the red trapezoid at (5, 2) with distance 3</think>

<answer>(5, 2)</answer>