CF1076C Meme Problem

Description

Try guessing the statement from this picture: ![](https://cdn.luogu.com.cn/upload/vjudge_pic/CF1076C/37b5381060d5a04496dcb81ef36acaef1530d000.png)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 $ .

Input Format

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) $ .

Output Format

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} $ .