
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
The numbers \( 62, 63, 64, 65, 66, 67, 68, 69, \) and \( 70 \) are divided by, in some order, the numbers \( 1, 2, 3, 4, 5, 6, 7, 8, \) and \( 9 \), resulting in nine integers. The sum of these nine integers is \( S \). What are the possible values of \( S \)?

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