
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
Six bags contain 18, 19, 21, 23, 25, and 34 coins respectively. One of these bags contains only counterfeit coins, while the other five bags contain only real coins. Xiao Cong took three bags, while Xiao Min took the remaining two bags. The remaining bag contains the counterfeit coins. If the total number of coins Xiao Cong obtained is exactly double the number of coins Xiao Min obtained, how many counterfeit coins are in the bag?

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