
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
Petya divided a circle into 7 parts using three straight lines and wants to write 7 consecutive integers so that the sums of the numbers on either side of each line are equal. Come up with three different examples, using different sets of integers.

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