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

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