
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
Determine the length of  $BC$  in an acute triangle  $ABC$  with  $\angle ABC = 45^{\circ}$ ,  $OG = 1$  and  $OG \parallel BC$ . (As usual  $O$  is the circumcenter and  $G$  is the centroid.)

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