
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
In the decimal representation of a positive number $a$, all decimal places starting from the fourth place after the decimal point are truncated, i.e., the truncated value $a_0$ is the underestimation of $a$ rounded to the nearest 0.001. The resulting number $a_0$ is divided by the number $a$ itself, and the quotient is again truncated with the same precision. Specify all numbers that can be obtained this way.

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