
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
There is an unlimited supply of test tubes of three types - A, B, and C. Each test tube contains one gram of solution of the same substance. Test tubes of type A contain a 10% solution of the substance, type B contain a 20% solution, and type C contain a 90% solution. Sequentially, one by one, the contents of the test tubes are poured into a container. At the same time, test tubes of the same type cannot be used consecutively. It is known that a 20.17% solution was obtained in the container by performing the minimum number of pourings. What is the maximum number of type C test tubes that can be used in this process?

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