We can assign a value to each character in a word, based on their position in the alphabet (a = 1, b = 2, ... , z = 26). A balanced word is one where the sum of values on the left-hand side of the word equals the sum of values on the right-hand side. For odd length words, the middle character (balance point) is ignored.

Write a function that returns true if the word is balanced, and false if it's not.

Examples

balanced_word("zips") ➞ true
# "zips" = "zi|ps" = 26+9|16+19 = 35|35 = true

balanced_word("brake") ➞ false
# "brake" = "br|ke" = 2+18|11+5 = 20|16 = false

Notes

• All words will be lowercase, and have a minimum of 2 characters.
• Palindromic words will always be balanced.