
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
A kindergarten purchased sets of candies of three different types, spending 2200 rubles. The first set costs 50 rubles and contains 25 candies. The second set costs 180 rubles and contains 95 candies, and the third set costs 150 rubles and contains 80 candies. How many of each set did they buy if the total number of candies in them is maximized?

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