
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 newly constructed street features 25 houses on each side, totaling 50 houses. The addresses on the east side of the street form an arithmetic sequence starting with 5, increasing by 7 each time. The west side addresses also form an arithmetic sequence, beginning at 6 and increasing by 8 each time. A painter charges $1 per digit to paint the house numbers. Calculate the total cost if the painter paints all 50 house numbers once.

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