There are 6 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 (2, 4)
Distance from target shape to orange right_triangle at (1, 2): 3
Distance from target shape to pink right_triangle at (2, 1): 3
Distance from target shape to purple right_triangle at (2, 2): 2
Distance from target shape to cyan trapezoid at (3, 2): 3
Distance from target shape to red rectangle at (3, 4): 1
Closest shape is the red rectangle at (3, 4) with distance 1</think>

<answer>(3, 4)</answer>