
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
Seven consecutive integers were standing in a row, arranged from the smallest to the largest. After a while, the numbers became bored, so the first number swapped with the last, then the middle number moved to the very beginning of the row, and finally, the largest number took a position in the middle. To their great delight, it found itself next to a number with the same absolute value. Which seven numbers could have been standing in the row?

(Hint: Determine the difference between the two mentioned numbers with the same absolute value.)

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