
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
Red Martians always tell the truth, while Blue Martians lie and then turn red. In a group of 2018 Martians, each one replied in turn to the question of how many of them were red at that moment. The answers were the numbers $1, 2, 3, \ldots, 2018$ (in that exact order). How many red Martians could there have been originally?

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