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

<answer>(3, 0)</answer>