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

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