
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 20 houses on each side, for a total of 40 houses. The addresses on the south side of the street form an arithmetic sequence beginning with 5 and increasing by 6, as do the addresses on the north side starting from 6. A sign painter paints house numbers on each house, charging $\$1$ per digit for addresses with an odd number of digits, and $\$1.5$ per digit for addresses with an even number of digits. How much does he collect from painting house numbers on all 40 houses?

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