A ceramics workshop stamps every finished plate with a fixed-length decimal batch tag before it leaves the kiln. A quality inspector calls a tag balanced when the sum of the digits printed in its first half is exactly equal to the sum of the digits printed in its second half; such tags are trusted to have survived the stamping press without a misfire. Given a batch tag, decide whether it is balanced.

Input format

A single line containing the batch tag s, a string of decimal digit characters ('0'-'9') of even length.

Output format

Print true if the sum of the digits in the first half of s equals the sum of the digits in the second half, and false otherwise.

Constraints

• 2 <= |s| <= 100
• |s| is even
• s consists only of the characters '0'-'9'

1230

true

1234

false