
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
Using the numbers \(1, 2, 3, 4, 5, 6\), form a six-digit number \(ABCDEF\) such that:
- \(A\) is divisible by 1,
- \(AB\) is divisible by 2,
- \(ABC\) is divisible by 3,
- \(ABCD\) is divisible by 4,
- \(ABCDE\) is divisible by 5,
- \(ABCDEF\) is divisible by 6.

Find the greatest value of \(A\).

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