Description:
Igor the analyst has adopted n little bunnies. As we all know, bunnies love carrots. Thus, Igor has bought a carrot to be shared between his bunnies. Igor wants to treat all the bunnies equally, and thus he wants to cut the carrot into n pieces of equal area.
Formally, the carrot can be viewed as an isosceles triangle with base length equal to 1 and height equal to h. Igor wants to make n - 1 cuts parallel to the base to cut the carrot into n pieces. He wants to make sure that all n pieces have the same area. Can you help Igor determine where to cut the carrot so that each piece have equal area?
Illustration to the first example.
Input Format:
The first and only line of input contains two space-separated integers, n and h (2 ≤ n ≤ 1000, 1 ≤ h ≤ 105).
Output Format:
The output should contain n - 1 real numbers x1, x2, ..., xn - 1. The number xi denotes that the i-th cut must be made xi units away from the apex of the carrot. In addition, 0 < x1 < x2 < ... < xn - 1 < h must hold.
Your output will be considered correct if absolute or relative error of every number in your output doesn't exceed 10 - 6.
Formally, let your answer be a, and the jury's answer be b. Your answer is considered correct if $$\frac{|a-b|}{\max(1,b)} \leq 10^{-6}$$.
Note:
Definition of isosceles triangle: https://en.wikipedia.org/wiki/Isosceles_triangle.