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

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