
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
Write down four numbers (not necessarily integers), with no repetitions among them, such that if a number \( x \) is among the recorded ones, then at least one of the numbers \( x-1 \) or \( 6x-1 \) is also among the recorded ones.

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