There are 3 shapes on a 4x4 grid. Which shape is closest to the gray 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: gray square at (0, 3)
Distance from target shape to orange rectangle at (3, 2): 4
Distance from target shape to brown right_triangle at (3, 1): 5
Closest shape is the orange rectangle at (3, 2) with distance 4</think>

<answer>(3, 2)</answer>