There are 4 shapes on a 5x5 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 (3, 4)
Distance from target shape to pink square at (0, 1): 6
Distance from target shape to purple right_triangle at (3, 2): 2
Distance from target shape to green rectangle at (2, 3): 2
Closest shape is the purple right_triangle at (3, 2) with distance 2</think>

<answer>(3, 2)</answer>