
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Alice and Bob decide to determine a 2018-digit number in the decimal system digit by digit from left to right, with Alice starting and the two taking turns. The following rule applies: Each new digit mentioned should belong to a different residue class modulo 3 than the one immediately before it.

Since Bob gets to choose the last digit, he bets that he can make the number divisible by 3 in the end. Can Alice prevent this?

Present the answer in LaTex format: \boxed{Your answer}
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