There are 5 shapes on a 4x4 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, 0)
Distance from target shape to gray square at (3, 2): 4
Distance from target shape to yellow rectangle at (3, 0): 2
Distance from target shape to blue square at (3, 3): 5
Distance from target shape to red square at (3, 1): 3
Closest shape is the yellow rectangle at (3, 0) with distance 2</think>

<answer>(3, 0)</answer>