
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
A farmer, approaching a fork in two roads diverging at an angle of $60^{\circ}$, asks, "How do I get to the village $NN$?" He is told: "Go along the left road to village $N$, which is 8 versts from here. There you will see a large, straight road branching off to the right at a right angle - this is the road to $NN$. Alternatively, you can go the other way: now take the right road; when you reach the railway, you will have covered half of the journey; here turn left and go straight along the railway tracks to $NN$." - "Well, which way is shorter?" - "It makes no difference, either way is the same distance." The farmer then chooses to go by the right road.

How many versts will he have to walk to get to $NN$? More than ten or less? And what if he goes directly to $NN$ from the fork? (All roads are straight.)

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