C. Meme Problemtime limit per test1 secondmemory limit per test256 megabytesinputstandard inputoutputstandard outputTry 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.InputThe 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).OutputFor 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}.ExampleInput
7
69
0
1
4
5
999
1000
Output
Y 67.985071301 1.014928699
Y 0.000000000 0.000000000
N
Y 2.000000000 2.000000000
Y 3.618033989 1.381966011
Y 997.998996990 1.001003010
Y 998.998997995 1.001002005

7
69
0
1
4
5
999
1000

Y 67.985071301 1.014928699 Y 0.000000000 0.000000000 N Y 2.000000000 2.000000000 Y 3.618033989 1.381966011 Y 997.998996990 1.001003010 Y 998.998997995 1.001002005 
['binary search', 'math', '*1300']