
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
A point light source is located at an equal distance of \( x = 10 \mathrm{~cm} \) from the lens and its main optical axis. Its direct image is positioned at a distance of \( y = 20 \mathrm{~cm} \) from the main optical axis. Determine the optical power of the lens and the distance between the light source and its image.

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