
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
For the quadrilateral given, how many different whole numbers could be the length of the diagonal represented by the dashed line?

[asy]
draw((0,0)--(5,5)--(12,1)--(7,-8)--cycle,linewidth(0.7));
draw((0,0)--(12,1),dashed);
label("9",(2.5,2.5),NW);
label("11",(8.5,3),NE);
label("17",(9.5, -3.5),SE);
label("13",(3.5,-4),SW);
[/asy]

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