There are 2 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, 1)
Distance from target shape to blue trapezoid at (3, 2): 4
Closest shape is the blue trapezoid at (3, 2) with distance 4</think>

<answer>(3, 2)</answer>