
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
Moving horizontally and vertically from point to point along the lines in the diagram below, how many routes are there from point  $A$  to point  $B$  which consist of six horizontal moves and six vertical moves?

[asy]
for(int i=0; i<=6;++i)
{
draw((i,i)--(6,i),black);
draw((i,i)--(i,0),black);
for(int a=i; a<=6;++a)
{
dot((a,i));
}
}
label("A",(0,0),W);
label("B",(6,6),N);

[/asy]

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