
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 \(\alpha\), all decimal places starting from the fifth decimal place are discarded (i.e., \(\alpha\) is approximated from below with a precision of 0.0001). The resulting number is divided by \(\alpha\), and the quotient is again rounded down with the same precision. What numbers can be obtained in this way (list all possible values)?

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