
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
A point $M(m,m^{2})$ on the parabola $y^{2}=x$ in the first quadrant draws two lines with complementary inclination angles, intersecting the parabola at points $A$ and $B$ respectively. If the slope of line $AB$ is $k$, then the maximum value of $k-m$ is \_\_\_\_\_\_.

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