
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
How many different routes are there from point $A$ to point $B$ if you can only move to the right or down along the drawn segments, and you cannot pass through point $C$?

[asy]
unitsize(0.09inch);
draw((0,0)--(15,0)--(15,15)--(0,15)--cycle);
draw((5,0)--(5,15));
draw((10,0)--(10,15));
draw((0,5)--(15,5));
draw((0,10)--(15,10));
dot((0,15));
dot((15,0));
dot((10,10));
label("$A$",(0,15),NW);
label("$B$",(15,0),SE);
label("$C$",(10,10),N);
[/asy]

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