
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 street has 25 houses on each side, totaling 50 houses. The house addresses on both sides of the street form arithmetic sequences. On the north side, the addresses begin at 5 and increase by 7 each time (5, 12, 19, ...), while on the south side they begin at 6 and increase by 8 (6, 14, 22, ...). A sign painter charges $\$2$ per digit to paint house numbers. Calculate the total amount of money the painter will collect if he paints each house number once on these 50 houses.

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