
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
On a table, there are 10 number cards labeled $0$ to $9$. Three people, A, B, and C, each take three of these cards. They then compute the sum of all different three-digit numbers that can be formed with the three cards they took. The results for A, B, and C are $1554$, $1688$, and $4662$ respectively. What is the remaining card? (Note: $6$ and $9$ cannot be considered as each other.)

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