What two numbers add up to 2017?

There are infinite combinations of two numbers that add up to 2017. Here are some examples using negative numbers:

-1 + 2018 = 2017
-2 + 2019 = 2017
-3 + 2020 = 2017
...

Here are some examples using two fractions that will add up to 2017:

2017/2 + 2017/2 = 2017
4034/3 + 2017/3 = 2017
6051/4 + 2017/4 = 2017
...

And here are some examples using two decimal numbers that will add up to 2017:

1.25 + 2015.75 = 2017
2.50 + 2014.5 = 2017
3.75 + 2013.25 = 2017
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 2017?", it may be more interesting to set some criteria to limit the result. We will set the follow criteria:

1) Only positive whole numbers can add up to 2017. (0 is not a positive or negative number and should not be included.)

2) Since a+b=29 is the same as b+a=29, we should only list it once.

Now, the answer to "What two numbers add up to 2017?" has 1008 answers:

1 + 2016 = 2017
2 + 2015 = 2017
3 + 2014 = 2017
.
.
1006 + 1011 = 2017
1007 + 1010 = 2017
1008 + 1009 = 2017

We have truncated the list above due to space, but you may be interested to know that we calculated the number of answers by dividing 2017 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 2018?
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