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 (4, 1)
Distance from target shape to yellow square at (2, 2): 3
Distance from target shape to green trapezoid at (2, 1): 2
Distance from target shape to orange trapezoid at (3, 4): 4
Distance from target shape to red right_triangle at (2, 4): 5
Distance from target shape to blue trapezoid at (1, 1): 3
Closest shape is the green trapezoid at (2, 1) with distance 2</think>

<answer>(2, 1)</answer>