There are 6 shapes on a 3x3 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, 2)
Distance from target shape to yellow trapezoid at (2, 0): 4
Distance from target shape to cyan trapezoid at (1, 2): 1
Distance from target shape to green trapezoid at (2, 1): 3
Distance from target shape to gray trapezoid at (2, 2): 2
Distance from target shape to brown trapezoid at (0, 1): 1
Closest shape is the cyan trapezoid at (1, 2) with distance 1</think>

<answer>(1, 2)</answer>