There are 4 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 (0, 2)
Distance from target shape to brown right_triangle at (4, 2): 4
Distance from target shape to pink square at (4, 0): 6
Distance from target shape to blue trapezoid at (2, 5): 5
Closest shape is the brown right_triangle at (4, 2) with distance 4</think>

<answer>(4, 2)</answer>