
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
There are 2015 women, each of whom is either an angel or a demon; angels always tell the truth, while demons sometimes tell the truth and sometimes lie.

The 1st woman says: Among us, there is exactly 1 angel.
The 3rd woman says: Among us, there are exactly 3 angels.
The 2013th woman says: Among us, there are exactly 2013 angels.
The 2nd woman says: Among us, there are exactly 2 demons.
The 4th woman says: Among us, there are exactly 4 demons.
The 2014th woman says: Among us, there are exactly 2014 demons.

The last woman says: You guys are really boring.
Among these 2015 women, at most how many angels are there?

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