There are 4 shapes on a 6x6 grid. Which shape is closest to the purple square 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 square at (5, 2)
Distance from target shape to green trapezoid at (3, 4): 4
Distance from target shape to gray square at (1, 3): 5
Distance from target shape to pink trapezoid at (2, 2): 3
Closest shape is the pink trapezoid at (2, 2) with distance 3</think>

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