
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
Teacher Shi distributed cards with the numbers 1, 2, 3, and 4 written on them to four people: Jia, Yi, Bing, and Ding. Then the following conversation occurred:

Jia said to Yi: "The number on your card is 4."
Yi said to Bing: "The number on your card is 3."
Bing said to Ding: "The number on your card is 2."
Ding said to Jia: "The number on your card is 1."

Teacher Shi found that statements between people with cards of the same parity (odd or even) are true, and statements between people with cards of different parity are false. Additionally, the sum of the numbers on Jia's and Ding's cards is less than the sum of the numbers on Yi's and Bing's cards.

What is the four-digit number formed by the numbers on the cards of Jia, Yi, Bing, and Ding, in that order?

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