
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 the octagon COMPUTER exhibited below, all interior angles are either \(90^{\circ}\) or \(270^{\circ}\) and we have \(CO=OM=MP=PU=UT=TE=1\).

Point \(D\) (not to scale in the diagram) is selected on segment \(RE\) so that polygons COMPUTED and \(CDR\) have the same area. Find \(DR\).

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