# Lots of presents!

Level pending

Santa is going on two trips to deliver presents.

For the first trip, he needs to separate $$2013$$ distinct presents into $$2$$ bags, where the bags are the same as each other and each one has at least $$1$$ present. Let the number of ways he can do this be $$c_1$$.

For the second trip, he needs to separate $$2012$$ distinct presents into $$2$$ bags, where the bags are the same as each other and each one has at least $$1$$ present. Let the number of ways he can do this be $$c_2$$.

What is $$2c_2-c_1+4$$?

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