Alpha numbers are a very special kind of numbers because they follow a very special rule - the biggest non-negative difference between
all pairs must be larger than the last digit of the sum of all digits.Sounds hard?

For example, 186 is an alpha number.

The non-negative differences are 8 - 1 = 7, 8 - 6 = 2 and 6 - 1 = 5.
The sum of all digits is 1 + 8 + 6 = 15.
The biggest difference 7 is larger than the last digit of 15.
Input
Exactly 7 numbers, each on a new line.

Output
Each alpha number on a new line, in the order given.

Constraints
100 <= number <= 999

Sample tests
Input
186
144
782
764
882
909
511
Output
186
909
Input
135
357
791
357
913
579
135
Output
791
913
579