There are 3 shapes on a 9x9 grid. Which shape is closest to the gray 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: gray square at (4, 1)
Distance from target shape to cyan right_triangle at (5, 2): 2
Distance from target shape to purple rectangle at (2, 5): 6
Closest shape is the cyan right_triangle at (5, 2) with distance 2</think>

<answer>(5, 2)</answer>