
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
Consider a 9-digit telephone number represented as $d_1d_2d_3-d_4d_5d_6d_7d_8d_9$. Define a memorable number as one where any three consecutive digits from the first five digits $d_1d_2d_3d_4d_5$ are exactly the same as the last three consecutive digits $d_7d_8d_9$. Assuming each $d_i$ can be any digit from 0 through 9, find the number of different memorable telephone numbers.
A) 100,000 
B) 101,000 
C) 110,000 
D) 120,000 
E) 199,000

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