There are 3 shapes on a 4x4 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 (0, 2)
Distance from target shape to cyan trapezoid at (1, 2): 1
Distance from target shape to gray trapezoid at (3, 0): 5
Closest shape is the cyan trapezoid at (1, 2) with distance 1</think>

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