Square Word Checker

Given a non-empty word, determine whether it is a "square word". A word is defined as a square word if the sum of the squares of the indices (1-indexed) of its characters is a perfect square. In other words, for a word of length n, compute

\( S = \sum_{i=1}^{n} i^2 \)

and check whether there exists an integer \( r \) such that \( r^2 = S \). Output true if \( S \) is a perfect square and false otherwise.

Note: The input will be read from standard input and the output should be printed to standard output.

inputFormat

The input consists of a single line containing a non-empty string word without any spaces.

outputFormat

Print true if the sum of the squares of the indices of the characters (1-indexed) forms a perfect square; otherwise, print false. The output should be printed on standard output.

a

true