
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
Two cyclists, initially \((b+26) \text{ km}\) apart, are traveling towards each other with speeds \(40 \text{ km/h}\) and \(60 \text{ km/h}\) respectively. A fly flies back and forth between their noses at \(100 \text{ km/h}\). If the fly flew \(c \text{ km}\) before getting crushed between the cyclists, find \(c\).

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