<|im_start|>system
You are a helpful assistant. You first think about the reasoning process in the mind and then provide the user with the answer. You should try to truely solve the question by yourself without cheating.  <|im_end|>
<|im_start|>user
 A disk with a diameter of \( D \) is placed on a chessboard with an \( 8 \times 8 \) grid, where the width of each square is \( D \), and their centers coincide. Find the number of squares on the chessboard that are completely covered by the disk. Express your answer as a whole number. Show your work in <think> </think> tags. And return the final answer in <answer> </answer> tags.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>
user
32
A disk with a diameter of \( D \) is placed on a chessboard with an \( 8 \times 8 \) grid, where the width of each square is \( D \), and their centers coincide. Find the number of squares on the chessboard that are completely covered by the disk. Express your answer as a whole number.
test