
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
Cici and Shanshan each have a certain number of points cards.

Shanshan said to Cici: "If you give me 2 cards, my number of cards will be twice yours."
Cici said to Shanshan: "If you give me 3 cards, my number of cards will be three times yours."
Shanshan said to Cici: "If you give me 4 cards, my number of cards will be four times yours."
Cici said to Shanshan: "If you give me 5 cards, my number of cards will be five times yours."
Later, it was found that exactly two of the above four statements were correct, and the other two were incorrect. In the end, after Cici gave Shanshan some points cards, they ended up having the same number of cards. How many points cards did Cici have originally?

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