
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
Josh writes the numbers $2,4,6,\dots,198,200$. He marks out $2$, skips $4$, marks out $6$ and continues this pattern of skipping one number and marking the next until he reaches the end of the list. He then returns to the beginning and repeats this pattern on the new list of remaining numbers, continuing until only one number remains. What is that number?

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