
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
On a straight road between a dog in a kennel and a cat, a kilogram of sausages was placed, and the animals simultaneously rushed towards them. The cat runs twice as fast as the dog but eats at half the speed. Upon reaching the sausages, both ate without fighting and evenly divided the sausages. It is known that the cat could either eat all the sausages in the same amount of time it takes to run from the start to the dog's kennel.

a) To whom were the sausages placed closer?

b) By how many times is the path of one animal longer than the path of the other?

Justify your answers.

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