
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
Let  $\triangle ABC$  be inscribed in circle  $O$  with  $\angle ABC = 36^\circ$ .  $D$  and  $E$  are on the circle such that  $\overline{AD}$  and  $\overline{CE}$  are diameters of circle  $O$ . List all possible positive values of  $\angle DBE$  in degrees in order from least to greatest.

*Proposed by Ambrose Yang*

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