
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 a triangle \(ABC\) with side \(AB\) divided into 4 equal segments \(AB_{1} = B_{1}B_{2} = B_{2}B_{3} = B_{3}B\), and side \(AC\) divided into 5 equal segments \(AC_{1} = C_{1}C_{2} = C_{2}C_{3} = C_{3}C_{4} = C_{4}C\). By how many times is the area of triangle \(ABC\) greater than the sum of the areas of the triangles \(C_{1}B_{1}C_{2}, C_{2}B_{2}C_{3}, C_{3}B_{3}C_{4}, C_{4}BC\)?

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