
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 construct a 2018-digit number in the decimal system, determining each digit one by one from left to right, with Alice starting and both taking turns. The rule they must follow is that each newly mentioned digit must lie in a different residue class modulo 3 than the immediately preceding digit.

Since Bob gets to state 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}
user