
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
As the Kubiks head homeward, away from the beach in the family van, Jerry decides to take a different route away from the beach than the one they took to get there.  The route involves lots of twists and turns, prompting Hannah to wonder aloud if Jerry's "shortcut" will save any time at all.

Michael offers up a problem as an analogy to his father's meandering: "Suppose dad drives around, making right-angled turns after  $\textit{every}$  mile.  What is the farthest he could get us from our starting point after driving us  $500$  miles assuming that he makes exactly  $300$  right turns?"

"Sounds almost like an energy efficiency problem," notes Hannah only half jokingly.  Hannah is always encouraging her children to think along these lines.

Let  $d$  be the answer to Michael's problem.  Compute  $\lfloor d\rfloor$ .

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