There are 3 shapes on a 6x6 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 (5, 2)
Distance from target shape to yellow trapezoid at (3, 0): 4
Distance from target shape to blue right_triangle at (5, 5): 3
Closest shape is the blue right_triangle at (5, 5) with distance 3</think>

<answer>(5, 5)</answer>