There are 5 shapes on a 10x10 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 (2, 4)
Distance from target shape to orange trapezoid at (3, 9): 6
Distance from target shape to blue square at (4, 3): 3
Distance from target shape to gray square at (1, 5): 2
Distance from target shape to brown right_triangle at (3, 2): 3
Closest shape is the gray square at (1, 5) with distance 2</think>

<answer>(1, 5)</answer>