There are 5 shapes on a 7x7 grid. Which shape is closest to the purple 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: purple right_triangle at (2, 4)
Distance from target shape to pink right_triangle at (3, 4): 1
Distance from target shape to green square at (6, 5): 5
Distance from target shape to yellow right_triangle at (2, 6): 2
Distance from target shape to cyan rectangle at (6, 3): 5
Closest shape is the pink right_triangle at (3, 4) with distance 1</think>

<answer>(3, 4)</answer>