There are 5 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 (3, 7)
Distance from target shape to pink trapezoid at (5, 3): 6
Distance from target shape to green trapezoid at (8, 7): 5
Distance from target shape to cyan right_triangle at (6, 0): 10
Distance from target shape to blue rectangle at (2, 1): 7
Closest shape is the green trapezoid at (8, 7) with distance 5</think>

<answer>(8, 7)</answer>