
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
The bug travels from point A to point C through a specified path on a hexagonal lattice, starting with the options to move from A to points X or Y. From X, the bug can only move forward to point B, and from Y, it can move to B or directly to C. From B, the bug can move to C.

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