
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
Find the number of positive integer solutions to the equation \( x_{1} + x_{2} + x_{3} + x_{4} = 23 \), under the conditions \( x_{1} \leqslant 9 \), \( x_{2} \leqslant 8 \), \( x_{3} \leqslant 7 \), and \( x_{4} \leqslant 6 \).

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