problem 6

Area Split

Pandu, the farmer, has three sons named, Bhima, Arjuna and Nakula. He has also planed for Three field crop rotation and hand over each field to his three sons.

His sons are fond of even numbers. So they wanted to split the field only if he is able to split it into 3 even number(wrt area) fields. Pandu was so particular that the difference in area of the fields should be minimum because he equally like his three sons. He would split the field only if it is possible, else he would do the normal farming. 
Note that it is possible to split only if all three land have positive area. 
Write a program to help Pandu in spliting the land. 

Input Format:

The first (and the only) input line contains integer that corresponds to the area of the field.
Note: Assume input are positive.

Output Format:

In the first line of the output, print "Yes", if the field can be divided into three parts as per the requirements of Pandu, else print "No".
 

If the first line of the output is "Yes", the next line of the output consists of 3 integers separated by a space, which corresponds to the areas of the divided field. In case of distinct integers, the smallest number should appear first. 

Sample Input 1: 
6 
Sample Output 1: 
Yes 
2 2 2 
  
Sample Input 2: 
7 
Sample Output 2: 
No