
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
An integer $N$ is selected at random in the range $1 \leq N \leq 2021$. What is the probability that the remainder when $N^{18}$ is divided by $5$ is $1$?
**A)** $\frac{1}{5}$  
**B)** $\frac{202}{2021}$  
**C)** $\frac{809}{2021}$  
**D)** $\frac{3}{5}$  
**E)** $\frac{4}{5}$

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