Cutting Carrot

题意翻译

---------------- 有一根高为$h$，底为$1$的胡萝卜（姑且可以认为它就是一个三角形），欲将其水平切成$n$段（水平即每一刀都平行于底边），使每一段面积相等。 ### 输入格式 一行2个数$n$，$h$ ### 输出格式 从上而下输出$h-$每一刀所在的高度，要求程序的答案与数据的误差小于0.0000001 ---------------------------

题目描述

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.

输入输出格式

输入格式

The first and only line of input contains two space-separated integers, $ n $ and $ h $ ( $ 2<=n<=1000 $ , $ 1<=h<=10^{5} $ ).

输出格式

The output should contain $ n-1 $ real numbers $ x_{1},x_{2},...,x_{n-1} $ . The number $ x_{i} $ denotes that the $ i $ -th cut must be made $ x_{i} $ units away from the apex of the carrot. In addition, $ 0&lt;x_{1}&lt;x_{2}&lt;...&lt;x_{n-1}&lt;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 .

输入输出样例

输入样例 #1

3 2

输出样例 #1

1.154700538379 1.632993161855

输入样例 #2

2 100000

输出样例 #2

70710.678118654752

说明

Definition of isosceles triangle: [https://en.wikipedia.org/wiki/Isosceles\_triangle](https://en.wikipedia.org/wiki/Isosceles_triangle).