
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
Along the shore of a circular lake, there are apple trees. Petya and Vasya start walking from point $A$ on the shore in opposite directions along the shore, counting all the apple trees they encounter and all the apples growing on the trees. When they meet at some point $B$, they compare their results. It turns out that Petya counted twice as many apple trees as Vasya, and seven times more apples than Vasya. Surprised by this result, they decided to repeat the experiment. They started from point $B$ in the same directions and met again at point $C$. It turned out that on the way from $B$ to $C$, Petya again counted twice as many apple trees as Vasya, and seven times more apples than Vasya. Their surprise grew, and they decided to repeat the experiment once more. Setting out from $C$ in the same directions, they met at point $D$. It turned out that Petya again counted twice as many apple trees as Vasya. Who counted more apples on the way from $C$ to $D$, and by how many times?

Answer: On the way from $C$ to $D$, Vasya counted 3 times more apples than Petya.

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