
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
The first $40$ numbers of an arrangement are described as follows:
- Row 1: $2$ numbers, each $2$
- Row 2: $4$ numbers, each $4$
- Row 3: $6$ numbers, each $6$
- Row 4: $8$ numbers, each $8$
- This pattern continues similarly in the subsequent rows. What is the value of the $80^{\mathrm{th}}$ number if the arrangement were continued?

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