What is the smallest three-digit positive integer congruent to 1 (mod 7)?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the smallest three-digit positive integer congruent to 1 (mod 7)?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
106
What is the smallest three-digit positive integer congruent to 1 (mod 7)?
train