
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
Observe the following equations:<br/>$(1)\sqrt{1×2×3×4+1}=5$;<br/>$(2)\sqrt{2×3×4×5+1}=11$;<br/>$(3)\sqrt{3×4×5×6+1}=19$;<br/>$\ldots $<br/>According to the above pattern, if $\sqrt{11×12×13×14+1}=a$, then $a=\_\_\_\_\_\_$.

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