
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
In five of the nine circles in the picture, the numbers 1, 2, 3, 4, 5 are written. Replace the remaining circles $A, B, C, D$ with the digits $6, 7, 8, 9$ so that the sums of four numbers along each of the three sides of the triangle are the same.

Construct the assignment such that:
- In circle $A$
- In circle $B$
- In circle $C$
- In circle $D$
- there is the number 6.
- there is the number 7.
- there is the number 8.
- there is the number 9.


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