There are 3 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 (7, 7)
Distance from target shape to blue rectangle at (4, 2): 8
Distance from target shape to red trapezoid at (1, 2): 11
Closest shape is the blue rectangle at (4, 2) with distance 8</think>

<answer>(4, 2)</answer>