
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
Randomly divide the positive integers $1, 2, 3, 4, 5, 6, 7$ into two groups, ensuring that each group contains at least one number. Calculate the probability that the sum of the numbers in each group is equal.

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