There are 6 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 (2, 4)
Distance from target shape to cyan rectangle at (1, 1): 4
Distance from target shape to blue right_triangle at (2, 1): 3
Distance from target shape to orange square at (1, 4): 1
Distance from target shape to gray trapezoid at (3, 1): 4
Distance from target shape to yellow trapezoid at (4, 3): 3
Closest shape is the orange square at (1, 4) with distance 1</think>

<answer>(1, 4)</answer>