
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 are 81 students in total in locations A and B. The first student in location A has contacted 10 students in location B, the second student has contacted 11 students in location B, the third student has contacted 12 students in location B, and so on, until the nth student has contacted all students in location B. How many students are there in each location?

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