There are 3 shapes on a 10x10 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 (6, 1)
Distance from target shape to cyan trapezoid at (0, 5): 10
Distance from target shape to brown trapezoid at (7, 2): 2
Closest shape is the brown trapezoid at (7, 2) with distance 2</think>

<answer>(7, 2)</answer>