
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 archery, each shot yields either a score of "0" (miss) or a natural number no more than 10. Two archers, A and B, each shot 5 arrows. The product of the scores for each of their 5 arrows is 1764. However, the total score of archer A is 4 less than that of archer B. Find the total scores of archers A and B.

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