
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
Fill 4 of the numbers from $0$ to $5$ into the circles in the diagram on the right. The differences between the numbers at each end of the five line segments (subtracting the smaller number from the larger number) should be exactly $1$ through $5$. Among all possible solutions, what is the maximum value of the four-digit number $\overline{ABCD}$ formed by the numbers in the circles?

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