
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 that the line $x+y=m$ is tangent to the circle $$\begin{cases} \left.\begin{matrix}x= \sqrt {m}\cos\varphi \\ y= \sqrt {m}\sin\varphi\end{matrix}\right.\end{cases}$$ (where $\varphi$ is a parameter, $m>0$), find the value of $m$.

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