
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 cube with a side length of 20 is divided into 8000 unit cubes, and each cube contains a number. It is known that in each column of 20 cubes, parallel to the edge of the cube, the sum of the numbers is 1 (columns in all three directions are considered). In a certain unit cube, the number 10 is recorded. Through this unit cube, there pass three layers of $1 \times 20 \times 20$, parallel to the faces of the cube. Find the sum of all the numbers outside these layers.

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