
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 a $3 \times 3$ grid filled with the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, with each cell containing one number. Now, color the cell with the largest number in each row red, and the cell with the smallest number in each row green. Let $M$ be the smallest number in the red cells, and $m$ be the largest number in the green cells. Then, the number of different values that $M-m$ can take is ____.

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