There are 5 shapes on a 6x6 grid. Which shape is closest to the brown 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: brown right_triangle at (0, 5)
Distance from target shape to yellow right_triangle at (2, 4): 3
Distance from target shape to blue square at (5, 5): 5
Distance from target shape to gray rectangle at (0, 0): 5
Distance from target shape to purple right_triangle at (2, 2): 5
Closest shape is the yellow right_triangle at (2, 4) with distance 3</think>

<answer>(2, 4)</answer>