
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
Hossna is playing with a  $m*n$  grid of points.In each turn she draws segments between points with the following conditions.

**1.** No two segments intersect.

**2.**  Each segment is drawn between two consecutive rows.

**3.** There is at most one segment between any two points.

Find the maximum number of regions Hossna can create.

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