
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 several pairwise distinct natural numbers written on the board. If the smallest number is increased by 35 times, the sum of the numbers on the board becomes equal to 592. If the largest number is increased by 16 times, the sum of the numbers on the board also becomes equal to 592. What numbers could be written on the board?

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