
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
Given the function $f(x)=(x^{2}-2x)\sin (x-1)+x+1$ has its maximum value $M$ and minimum value $m$ on the interval $[-1,3]$, then $M+m=$ \_\_\_\_\_\_.

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