
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 blackboard, write the 2004 numbers: \(1, 2, \cdots, 2004\). In each step, erase some of the numbers from the blackboard and write the remainder of their sum divided by 167. After several steps, two numbers remain on the blackboard, one of which is 999. What is the other remaining number?

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