
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
In the rectangle below, line segment $MN$ divides the rectangle into 2 sections. What is the largest number of sections into which the rectangle can be separated when 5 line segments (including $MN$) are drawn through the rectangle?
[asy]
size(3cm, 3cm);
pair A,B,C,D,M,N;
A = (0,0);
B = (1.5,0);
C = (1.5,1);
D = (0,1);
draw (A--B--C--D--A);
M = (0.8, 0);
N = (1.2, 1);
draw(M--N);
label("M", M, S);
label("N", N, NNE);
[/asy]

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