There are 6 shapes on a 10x10 grid. Which shape is closest to the purple square 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 square at (5, 2)
Distance from target shape to cyan rectangle at (7, 4): 4
Distance from target shape to blue trapezoid at (5, 3): 1
Distance from target shape to red rectangle at (3, 4): 4
Distance from target shape to green trapezoid at (7, 1): 3
Distance from target shape to yellow trapezoid at (4, 2): 1
Closest shape is the blue trapezoid at (5, 3) with distance 1</think>

<answer>(5, 3)</answer>