There are 4 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 (2, 0)
Distance from target shape to green trapezoid at (1, 3): 4
Distance from target shape to brown trapezoid at (3, 3): 4
Distance from target shape to blue trapezoid at (0, 0): 2
Closest shape is the blue trapezoid at (0, 0) with distance 2</think>

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