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

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