
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
Dima, Misha, and Yura decided to find out who among them is the most athletic. They conducted 10 competitions. The winner received 3 points, the second-place finisher received 1 point, and the third-place finisher received no points (each competition had a first, second, and third place). In total, Dima scored 22 points, and Misha scored 8 points. How many points did Yura score?

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