<|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 carpenter wishes to cut a wooden 3 x 3 x 3 cube into twenty-seven 1 x 1 x 1 cubes. What is the minimum number of cuts needed if he is allowed to rearrange the pieces after each cut? Express your answer as a single integer. 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
6
A carpenter wishes to cut a wooden 3 x 3 x 3 cube into twenty-seven 1 x 1 x 1 cubes. What is the minimum number of cuts needed if he is allowed to rearrange the pieces after each cut? Express your answer as a single integer.
test