
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
The number $2090$ is expressed in the form $2090 = \frac{c_1!c_2!...c_p!}{d_1!d_2!...d_q!}$, where $c_1 \ge c_2 \ge \cdots \ge c_p$ and $d_1 \ge d_2 \ge \cdots \ge d_q$ are positive integers and $c_1 + d_1$ is as small as possible. What is $|c_1 - d_1|$?
- **A)** 1
- **B)** 2
- **C)** 3
- **D)** 4
- **E)** 5

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