
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
Consider a rectangular grid with vertical and horizontal segments forming a 4 by 3 rectangle from point $A$ to point $B$. You can only move to the right (R) or down (D). How many different routes are there from point $A$ to point $B$?

[asy]
unitsize(0.06inch);
draw((0,0)--(12,0)--(12,16)--(0,16)--cycle);
draw((4,0)--(4,16));
draw((8,0)--(8,16));
draw((0,4)--(12,4));
draw((0,8)--(12,8));
draw((0,12)--(12,12));
dot((0,16));
dot((12,0));
label("$A$",(0,16),NW);
label("$B$",(12,0),SE);
[/asy]

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