
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
A wagon was loaded with several kilograms of apple jam, among which there was $20\%$ good and $80\%$ bad jam. Every day, half of the bad jam spoiled and was discarded. After a few days, it turned out that the wagon contained $20\%$ bad and $80\%$ good jam. How many days have passed since the loading?

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