There are 4 shapes on a 5x5 grid. Which shape is closest to the gray right_triangle 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 right_triangle at (0, 0)
Distance from target shape to red trapezoid at (1, 2): 3
Distance from target shape to pink trapezoid at (1, 4): 5
Distance from target shape to purple rectangle at (2, 4): 6
Closest shape is the red trapezoid at (1, 2) with distance 3</think>

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