
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
Let the set $I=\{1,2,3,4\}$. Choose two non-empty subsets $A$ and $B$ from $I$ such that the largest number in $A$ is not greater than the smallest number in $B$. The number of different subset pairs $(A,B)$ that can be formed is \_\_\_\_\_\_.

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