
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
Anya and Kolya were collecting apples. It turned out that Anya collected as many apples as the percentage Kolya collected from the total number of apples they gathered, and vice versa, Kolya collected as many apples as the percentage Anya collected from the total number of apples they gathered. How many apples did Anya collect, and how many did Kolya collect?

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