
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
After Natasha eats half of the peaches in the jar, the level of the compote decreases by one third. By what fraction (of the resulting level) will the compote level decrease if half of the remaining peaches are eaten?

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