There are 4 shapes on a 4x4 grid. Which shape is closest to the brown 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: brown trapezoid at (0, 1)
Distance from target shape to red right_triangle at (3, 2): 4
Distance from target shape to yellow square at (2, 2): 3
Distance from target shape to purple right_triangle at (1, 2): 2
Closest shape is the purple right_triangle at (1, 2) with distance 2</think>

<answer>(1, 2)</answer>