
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
There are two blocks of houses which are diagonally opposite. Each block has 25 houses that have their addresses numbered in an arithmetic sequence. The first block's addresses start at 5 and increase by 7, while the second block's addresses start at 2 and increase by 5. The cost of painting house numbers is now $\$2$ per digit. Calculate the total cost of painting all the house numbers on these 50 houses.

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