
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
In an $8 \times 8$ table, integers from 0 to 10 are placed (naturally, numbers may repeat, not necessarily all mentioned numbers appear). It is known that in each $3 \times 2$ or $2 \times 3$ rectangle, the sum of the numbers is 10. Find the smallest possible sum of the numbers in the entire table.

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