
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
Let $\left[x\right]$ represent the greatest integer not exceeding $x$, such as $\left[2.7\right]=2$, $\left[-4.5\right]=-5$; then the distance on the number line represented by $\left[3.7\right]$ and $\left[-6.5\right]$ is ______.

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