<|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 five-digit number is likable to Lydia if none of the digits in its representation are divisible by 3. Find the total sum of the digits of all five-digit numbers that are likable to Lydia. 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
145800
A five-digit number is likable to Lydia if none of the digits in its representation are divisible by 3. Find the total sum of the digits of all five-digit numbers that are likable to Lydia.
test