There are 5 shapes on a 6x6 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 square at (1, 2): 1
Distance from target shape to purple square at (1, 0): 3
Distance from target shape to pink right_triangle at (5, 4): 7
Distance from target shape to cyan right_triangle at (5, 2): 5
Closest shape is the red square at (1, 2) with distance 1</think>

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