
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 a shooting competition, a shooter scored only 8, 9, or 10 points per shot. After making more than 11 shots, the total score was 100. Determine the number of shots made by the athlete and the number of times the scores 8, 9, and 10 were achieved, respectively.

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