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

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