
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 triangle \(A B C\) is considered. Point \(F\) is the midpoint of side \(A B\). Point \(S\) lies on the ray \(A C\) such that \(C S = 2 A C\). In what ratio does the line \(S F\) divide side \(B C\)?

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