
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
Given 10 identical balls and three boxes numbered 1, 2, and 3, with the requirement that the number of balls in each box is no less than the box number, calculate the number of ways to distribute the balls into the boxes.

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