
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 positive integer $\mathrm{x}$ satisfies: the number of digits of $3x$ is more than the number of digits of $\mathrm{x}$ (for example, the number of digits of 343 is 3, and the number of digits of $3 \times 343 = 1029$ is 4), then such an $\mathbf{x}$ is called a "Central Ring Number." Arrange all the "Central Ring Numbers" in ascending order. The 50th "Central Ring Number" is ( ).

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