There are 6 shapes on a 4x4 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, 2)
Distance from target shape to yellow trapezoid at (2, 0): 4
Distance from target shape to orange rectangle at (3, 1): 4
Distance from target shape to purple trapezoid at (2, 3): 3
Distance from target shape to green rectangle at (0, 1): 1
Distance from target shape to red square at (0, 3): 1
Closest shape is the green rectangle at (0, 1) with distance 1</think>

<answer>(0, 1)</answer>