
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
In parallelogram \(ABCD\), the side \(AD\) is divided into equal parts by points \(A_1, A_2, \ldots, A_{2022}\). Point \(E_1\) is the intersection of lines \(BA_1\) and \(AC\). Determine what fraction of the diagonal \(AC\) is the segment \(AE_1\).

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