Even and Odd Permutations

Given an integer \(n\) (\(1 \le n \le 100\)), determine whether there exist both an even and an odd permutation of \(n\) elements. A permutation is even if it can be obtained by an even number of swaps from the identity permutation; otherwise, it is odd. Note that when \(n = 1\), there is only one permutation (which is even), so the answer is NO. For all \(n \ge 2\), both even and odd permutations exist, and hence the answer must be YES.

inputFormat

The input consists of a single line containing one integer \(n\).

outputFormat

Output a single line with the string YES if both an even and an odd permutation exist for the given \(n\), otherwise output NO.

3

YES