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

<answer>(0, 2)</answer>