There are 3 shapes on a 5x5 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 pink right_triangle at (1, 4): 3
Distance from target shape to green rectangle at (3, 0): 5
Closest shape is the pink right_triangle at (1, 4) with distance 3</think>

<answer>(1, 4)</answer>