
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
There are 6 numbers: 1, 3, 9, 27, 81, 243. Each time, you can either take one number or several different numbers to obtain a sum (each number can only be taken once), and thus 63 new numbers can be obtained. If these sums are arranged in ascending order as 1, 3, 4, 9, ... then what are the 58th through 63rd numbers?

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