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

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