
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
Xiao Zhang has 200 pencils, and Xiao Li has 20 fountain pens. Each time Xiao Zhang gives Xiao Li 6 pencils, Xiao Li gives Xiao Zhang 1 fountain pen in return. After a certain number of exchanges, the number of pencils that Xiao Zhang has is 11 times the number of fountain pens that Xiao Li has. How many exchanges took place?

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