There are 5 shapes on a 5x5 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 (1, 4)
Distance from target shape to blue square at (1, 1): 3
Distance from target shape to brown right_triangle at (0, 4): 1
Distance from target shape to gray rectangle at (4, 0): 7
Distance from target shape to green right_triangle at (0, 0): 5
Closest shape is the brown right_triangle at (0, 4) with distance 1</think>

<answer>(0, 4)</answer>