
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
If a natural number has an even number of even digits, it is called a "Hope Number." For example: 26, 201, 533 are Hope Numbers, while 8, 36, 208 are not Hope Numbers. If all Hope Numbers are arranged in ascending order, what is the 2010th Hope Number?

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