There are 6 shapes on a 4x4 grid. Which shape is closest to the pink rectangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
<think>Target shape: pink rectangle at (1, 3)
Distance from target shape to gray trapezoid at (0, 0): 4
Distance from target shape to green right_triangle at (0, 2): 2
Distance from target shape to purple right_triangle at (2, 1): 3
Distance from target shape to brown rectangle at (1, 1): 2
Distance from target shape to yellow square at (2, 2): 2
Closest shape is the green right_triangle at (0, 2) with distance 2</think>

<answer>(0, 2)</answer>