CF1076C.Meme Problem

Try guessing the statement from this picture:

You are given a non-negative integer $d$ . You have to find two non-negative real numbers $a$ and $b$ such that $a + b = d$ and $a \cdot b = d$ .

The first line contains $t$ ( $1 \le t \le 10^3$ ) — the number of test cases.

Each test case contains one integer $d$ $(0 \le d \le 10^3)$ .

For each test print one line.

If there is an answer for the $i$ -th test, print "Y", and then the numbers $a$ and $b$ .

If there is no answer for the $i$ -th test, print "N".

Your answer will be considered correct if $|(a + b) - a \cdot b| \le 10^{-6}$ and $|(a + b) - d| \le 10^{-6}$ .