CF438E The Child and Binary Tree

Description

Our child likes computer science very much, especially he likes binary trees. Consider the sequence of $ n $ distinct positive integers: $ c_{1},c_{2},...,c_{n} $ . The child calls a vertex-weighted rooted binary tree good if and only if for every vertex $ v $ , the weight of $ v $ is in the set $ {c_{1},c_{2},...,c_{n}} $ . Also our child thinks that the weight of a vertex-weighted tree is the sum of all vertices' weights. Given an integer $ m $ , can you for all $ s $ $ (1

Input Format

N/A

Output Format

N/A

Explanation/Hint

In the first example, there are $ 9 $ good vertex-weighted rooted binary trees whose weight exactly equal to $ 3 $ : ![](https://cdn.luogu.com.cn/upload/vjudge_pic/CF438E/eac2c310aa15e844747811a6717476e6a022e10e.png)