
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
To transmit a positive integer less than 500, the Networked Number Node offers two options.

Option 1. Pay $\$$d to send each digit d. Therefore, 487 would cost $\$$4 + $\$$8 + $\$$7 = $\$$19 to transmit.

Option 2. Encode integer into binary (base 2) first, and then pay $\$$d to send each digit d. Therefore, 487 becomes 111100111 and would cost $\$$1 + $\$$1 + $\$$1 + $\$$1 + $\$$0 + $\$$0 + $\$$1 + $\$$1 + $\$$1 = $\$$7.

What is the largest integer less than 500 that costs the same whether using Option 1 or Option 2?

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