
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
Mom brought 10 desserts of three types: there were fewer coconut sweets than meringues, and the most were caramel cubes. Josef chose two desserts of different types, Jakub did the same, and only desserts of the same type were left for Jan.

How many coconut sweets, meringues, and caramel cubes did mom bring?

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