
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
I am thinking of several consecutive natural numbers. If we remove the numbers 70, 82, and 103, the arithmetic mean of the numbers does not change. If, instead, we remove the numbers 122 and 123, the arithmetic mean decreases exactly by 1. What natural numbers am I thinking of?

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