
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 \\(x,y\\) satisfy the constraint conditions \\(\begin{cases} & x+y-2\geqslant 0 \\\\ & x-y+1\geqslant 0 \\\\ & x\leqslant 3 \end{cases}\\). If the minimum value of \\(z=mx+y\\) is \\(-3\\), then the value of \\(m\\) is      .

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