
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 the sequence:  $x_1=19,x_2=95,x_{n+2}=\text{lcm} (x_{n+1},x_n)+x_n$ , for  $n>1$ , where  $\text{lcm} (a,b)$  means the least common multiple of  $a$  and  $b$ . Find the greatest common divisor of  $x_{1995}$  and  $x_{1996}$ .

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