
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
Given two chords and their distances from the center of a circle, find the chord that subtends the arc equal to the difference of the arcs corresponding to the given chords, and its distance from the center.

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