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

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