
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
Find the smallest integer greater than 1000, but less than 2000, that costs the same to transmit using both options described:
Option 1: Pay $\$$d to send each digit d in decimal form.
Option 2: Convert the integer to binary, then pay $\$$d to send each digit d in binary form.

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