
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 a triangle  $ABC$ , the incircle touches the sides  $BC, CA, AB$  at  $D, E, F$  respectively. If the radius if the incircle is  $4$  units and if  $BD, CE , AF$  are consecutive integers, find the sides of the triangle  $ABC$ .

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