There are 6 shapes on a 3x3 grid. Which shape is closest to the purple 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: purple square at (2, 2)
Distance from target shape to yellow right_triangle at (0, 2): 2
Distance from target shape to gray rectangle at (2, 0): 2
Distance from target shape to blue trapezoid at (1, 0): 3
Distance from target shape to red right_triangle at (0, 1): 3
Distance from target shape to pink right_triangle at (1, 1): 2
Closest shape is the yellow right_triangle at (0, 2) with distance 2</think>

<answer>(0, 2)</answer>