If a hexadecimal integer (without leading 0),the sum of the former half number is equal to the sum of the latter half number,we call it a fair number. If the integer contains the odd numbers,then the middle of the integer neither fall within the first half,nor fall within the latter half.
For example,hexadecimal number 1DE77 is a fair number,since 1 + D = 7 + 7,while the number of E is not involved in the calculation.
All single-digit hexadecimal numbers (ie 0 ~ F) are fair numbers,but not F0 (F0 can not be written in 0F0).
Input a hexadecimal integer to determine whether this number is a fair number.
There will be multiple test cases.Each line of input contains a hexadecimal integer n (the number of bits is less than 1000).And the last line of 0 means the end of input which should not be processed.
For each test case output a line,if the input hexadecimal number n is a fair number then output "Y",otherwise output "N".