
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 the cells of a $(2m-1) \times (2n-1)$ table, where $m \geq n$, the numbers 1, 2, and 3 are placed such that every $2 \times 2$ square contains all three different numbers. What is the minimum possible value of the sum of the numbers in the entire table?

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