
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, for each miss in a series of 25 shots, the shooter received penalty points: one penalty point for the first miss and 0.5 points more for each subsequent miss than the previous one. How many times did the shooter hit the target if they received 7 penalty points?

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