
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 permutations of the letters  $ABCDE$  where the letters  $A$  and  $B$  are not adjacent and the letters  $C$  and  $D$  are not adjacent. For example, count the permutations  $ACBDE$  and  $DEBCA$  but not  $ABCED$  or  $EDCBA$ .

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