
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
Using each of the eight digits  $1,3,4,5,6,7,8$  and  $9$  exactly once, a three-digit number  $A$ , two two-digit numbers  $B$  and  $C$ ,  $B<C$ , and a one digit number  $D$  are formed. The numbers are such that  $A+D=B+C=143$ . In how many ways can this be done?

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