
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
10 white balls, numbered from 1 to 10, are arranged in a row. The red coloring will be done as follows:
1. Color 2 balls red.
2. The difference between the numbers of the two colored balls must be greater than 2.

How many different coloring methods are there?

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