There are 4 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 (3, 2)
Distance from target shape to red right_triangle at (1, 0): 4
Distance from target shape to brown rectangle at (0, 3): 4
Distance from target shape to cyan right_triangle at (0, 1): 4
Closest shape is the red right_triangle at (1, 0) with distance 4</think>

<answer>(1, 0)</answer>