
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 a competition, there are three empty boxes labeled A, B, and C. The host randomly picks two cards at a time from a deck of 52 playing cards, which does not include the jokers. One card is placed in box A, and if the card is red (either hearts or diamonds), the other card is placed in box B. If the card is black (either spades or clubs), the other card is placed in box C. This process is repeated until all the cards are placed into the three boxes. The following conclusions can be made:  
1. The number of black cards in box B is no greater than the number of black cards in box C.  
2. The number of red cards in box B is equal to the number of black cards in box C.  
3. The number of red cards in box B is no greater than the number of red cards in box C.  
4. The number of black cards in box B is equal to the number of red cards in box C.  
Which of these conclusions are correct? The correct answer is __________.

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