There are 6 shapes on a 5x5 grid. Which shape is closest to the purple trapezoid 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 trapezoid at (1, 4)
Distance from target shape to blue trapezoid at (2, 0): 5
Distance from target shape to brown trapezoid at (0, 0): 5
Distance from target shape to pink square at (4, 3): 4
Distance from target shape to yellow square at (1, 2): 2
Distance from target shape to red trapezoid at (4, 2): 5
Closest shape is the yellow square at (1, 2) with distance 2</think>

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