
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
In the bakery, there are three types of buns. For 1 cent, you can buy either one first-type bun, two second-type buns, or three third-type buns.

The children (among whom boys and girls were equally divided) received 7 cents to buy buns, with each child being given the same amount. How many buns of each type did the children buy, given that no bun was cut?

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