
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
Petya wrote down in the first column all the five-digit numbers composed of the digits from 0 to 7, and in the second column he wrote down the products of the digits of each such number. Vasya managed to mentally calculate the sum of the numbers written in the second column. What result did he get?

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