
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
Martin has written a five-digit number with five different digits on paper, which has the following properties:

- By striking out the second digit from the left (i.e., the digit in the thousands place), the resulting number is divisible by two.
- By striking out the third digit from the left, the resulting number is divisible by three.
- By striking out the fourth digit from the left, the resulting number is divisible by four.
- By striking out the fifth digit from the left, the resulting number is divisible by five.
- If no digit is struck out, the number is divisible by six.

What is the largest number Martin could have written on paper?

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