You are walking alone in the woods one night when out of the corner of your eye you see something moving. You turn and see a Large Russian Bear moving towards you.
It turns out this bear is writing a contest problem, and requires a list of Egyptian Fractions (reciprocals of positive integers) whose sum is extremely close to, but not exactly, equal to .
Input Format
You are given a single integer
Output Format
On the first line, output a single integer ,
.
On the second line, output integers,
.
Scoring
If your output is improperly formatted you will receive points.
Otherwise, let .
If
then you must have
or you will receive
points.
Similarly, if
then you must have
or you will recieve
points.
If you have a valid submission, then you receive points according to the following table, where
T | Score |
---|---|
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