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

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