
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
Neznaika draws closed paths inside a $5 \times 8$ rectangle, traveling along the diagonals of $1 \times 2$ rectangles. The diagram shows an example of a path passing through 12 such diagonals. Help Neznaika draw the longest possible path.

Crossing already drawn diagonals or passing through already visited vertices a second time is not allowed.

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