
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
There are 20 identical balls to be placed into three boxes numbered 1, 2, and 3. Each box must contain at least as many balls as its number. How many different arrangements are there?

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