Ragged Right

Word wrapping is the task of deciding how to break a paragraph of text into lines. For aesthetic reasons, we’d like all the lines except the last one to be about the same length. For example, we would say the text on the left looks less ragged than the text on the right:

            This is a                 This
            paragraph                 is a paragraph
            of text.                  of text.

Your job is to compute a raggedness value for an arbitrary paragraph of text. We’ll measure raggedness in a way similar to the T_eX  typesetting system. Let $n$ be the length, measured in characters, of the longest line of the paragraph. If some other line contains only $m$ characters, then we’ll charge a penalty score of $( n - m )^2$ for that line. The raggedness will be the sum of the penalty scores for every line except the last one.

Input

Input consists of a single paragraph of text containing at most 100 lines. Each line of the paragraph contains a sequence of between 1 and 80 characters (letters, punctuation characters, decimal digits and spaces). No line starts or ends with spaces. The paragraph ends at end of file.

Output

Print out a single integer, the raggedness score for paragraph.

some blocks
of text line up
well on the right,
but
some don't.

283

this line is short
this one is a bit longer
and this is the longest of all.

218