There are 6 shapes on a 7x7 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 (2, 4)
Distance from target shape to purple rectangle at (1, 5): 2
Distance from target shape to blue square at (3, 3): 2
Distance from target shape to pink trapezoid at (3, 0): 5
Distance from target shape to red right_triangle at (5, 1): 6
Distance from target shape to gray trapezoid at (5, 6): 5
Closest shape is the purple rectangle at (1, 5) with distance 2</think>

<answer>(1, 5)</answer>