There are 6 shapes on a 9x9 grid. Which shape is closest to the purple 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: purple right_triangle at (2, 6)
Distance from target shape to brown trapezoid at (6, 2): 8
Distance from target shape to cyan rectangle at (5, 7): 4
Distance from target shape to orange right_triangle at (4, 5): 3
Distance from target shape to red right_triangle at (3, 4): 3
Distance from target shape to green square at (0, 5): 3
Closest shape is the orange right_triangle at (4, 5) with distance 3</think>

<answer>(4, 5)</answer>