There are 5 shapes on a 6x6 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 (1, 2)
Distance from target shape to pink rectangle at (2, 1): 2
Distance from target shape to cyan rectangle at (5, 1): 5
Distance from target shape to gray rectangle at (2, 4): 3
Distance from target shape to blue right_triangle at (0, 2): 1
Closest shape is the blue right_triangle at (0, 2) with distance 1</think>

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