
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
A positive number \(\alpha\) is rounded down to two decimal places, discarding all digits starting from the third place after the decimal point (i.e., it is approximated with an error of no more than 0.01). The resulting number is then divided by \(\alpha\) and the quotient is again rounded down to the same precision. What are the possible resulting values? List all possible values.

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