
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
If \\(n\\) is a positive integer, then the remainder of \\({7}^{n}+{7}^{n-1}C_{n}^{1}+{7}^{n-2}C_{n}^{2}+…+7C_{n}^{n-1}\\) divided by \\(9\\) is ______.

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