There are 5 shapes on a 4x4 grid. Which shape is closest to the gray 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: gray right_triangle at (3, 3)
Distance from target shape to pink trapezoid at (2, 2): 2
Distance from target shape to purple trapezoid at (0, 0): 6
Distance from target shape to brown square at (0, 3): 3
Distance from target shape to yellow trapezoid at (0, 1): 5
Closest shape is the pink trapezoid at (2, 2) with distance 2</think>

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