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

<answer>(2, 1)</answer>