There are 6 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 (2, 4)
Distance from target shape to green right_triangle at (4, 8): 6
Distance from target shape to red rectangle at (7, 6): 7
Distance from target shape to brown trapezoid at (6, 4): 4
Distance from target shape to blue right_triangle at (4, 0): 6
Distance from target shape to purple right_triangle at (1, 2): 3
Closest shape is the purple right_triangle at (1, 2) with distance 3</think>

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