
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 kangaroos, A and B, are jumping in a specific area as shown in a diagram. Kangaroo A jumps in the sequence $A, B, C, D, E, F, G, H, I, A, B, C, \cdots$ in a loop. Kangaroo B jumps in the sequence $A, B, D, E, G, H, A, B, D, \cdots$ in a loop. If both kangaroos start at point $A$ and this counts as their first jump together, how many times do they land on the same point together after 2017 jumps?

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