
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
Let  $x_n=2^{2^{n}}+1$  and let  $m$  be the least common multiple of  $x_2, x_3, \ldots, x_{1971}.$  Find the last digit of  $m.$ 

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