
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
Xiaoming, Xiaohua, and Xiaogang are sharing 363 cards. They decide to distribute them based on their ages. For every 7 cards Xiaoming gets, Xiaohua must get 6 cards; for every 8 cards Xiaogang gets, Xiaoming must get 5 cards. Finally, Xiaoming received $\qquad$ cards; Xiaohua received $\qquad$ cards; Xiaogang received $\qquad$ cards.

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