
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
We define: $\left(a,b,c\right)$ as the "associated numbers" of the function $y=ax^{2}+bx+c$. When the intersection points of its graph with the coordinate axes have both integer horizontal and vertical coordinates, the intersection point is called an "integer intersection point". If the associated numbers are $\left(m,-m-2,2\right)$ and the graph of the function has two integer intersection points with the $x$-axis $(m$ is a positive integer$)$, then the coordinates of these integer intersection points on the graph are ______.

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