
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
When washing clothes by hand, you should apply detergent well, scrub thoroughly, and wring out the water. Of course, it's impossible to wring out all the water, and it's assumed that there will be 1 kilogram of water with impurities left in the clothes after wringing. Now, you have 18 kilograms of clean water available. Assume that each time you rinse, you use an integer number of kilograms of clean water, and after each rinse, the impurities are evenly distributed in the water. 

Question:
1. If you rinse the clothes twice, what is the minimum fraction of impurities remaining compared to before rinsing?
2. To reduce the amount of impurities to less than $\frac{1}{300}$ of the initial amount before rinsing, how many rinses are required? Please provide a rinsing scheme that meets this condition and explain the reasoning.

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