
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 tennis net is made of strings tied up together which make a grid consisting of small congruent squares as shown below.
[asy]
size(500);
xaxis(-50,50);
yaxis(-5,5);
add(shift(-50,-5)*grid(100,10));[/asy]
The size of the net is  $100\times 10$  small squares. What is the maximal number of edges of small squares which can be cut without breaking the net into two pieces? (If an edge is cut, the cut is made in the middle, not at the ends.)

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