There are 6 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, 2)
Distance from target shape to red rectangle at (3, 1): 4
Distance from target shape to blue square at (0, 1): 1
Distance from target shape to pink rectangle at (1, 3): 2
Distance from target shape to yellow right_triangle at (3, 0): 5
Distance from target shape to green right_triangle at (3, 2): 3
Closest shape is the blue square at (0, 1) with distance 1</think>

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