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N children standing in circle who are numbered 1 through N clockwise are waiting their candies. Their teacher distributes the candies by in the following way:
First the teacher gives child No.1 and No.2 a candy each. Then he walks clockwise along the circle, skipping one child (child No.3) and giving the next one (child No.4) a candy. And then he goes on his walk, skipping two children (child No.5 and No.6) and giving the next one (child No.7) a candy. And so on.
Now you have to tell the teacher whether all the children will get at least one candy?
The input consists of several data sets, each containing a positive integer N (2 ≤ N ≤ 1,000,000,000).
For each data set the output should be either "YES" or "NO".
2 3 4
YES NO YES
POJ Monthly--2007.09.09, ailyanlu@zsu
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