<|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
 Given a natural number \( n \), Roma wrote down three numbers \( n \), \( n+1 \), and \( n+2 \) on the board consecutively, without spaces. He got a certain sequence of digits in which there are consecutive digits 6474. Find the smallest possible value of \( n \). 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
46
Given a natural number \( n \), Roma wrote down three numbers \( n \), \( n+1 \), and \( n+2 \) on the board consecutively, without spaces. He got a certain sequence of digits in which there are consecutive digits 6474. Find the smallest possible value of \( n \).
test