There are 5 shapes on a 5x5 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, 3)
Distance from target shape to brown right_triangle at (0, 2): 2
Distance from target shape to red right_triangle at (1, 0): 3
Distance from target shape to orange trapezoid at (3, 1): 4
Distance from target shape to gray rectangle at (0, 0): 4
Closest shape is the brown right_triangle at (0, 2) with distance 2</think>

<answer>(0, 2)</answer>