sti

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题意 设第 $n$ 个Bell数为 $B_n$，求 $B_n \ mod \ 95041567$.（$1 \leq n \leq 2^{31}$） 分析 贝尔数的概念和性质，维基百科上有，这里用到两点。 若 $p$ 是任意素数，有 $B_{p+n} = B_n + B_{n+1}(mod \ p)$ 每个贝尔数都是相应第二类斯特林数之和，即 $B_n = \sum_{k=1}^nS(n, k)$ 贝尔数的这个递推式只适合质数，我们可以将模数拆成质数，然后用CRT合并。 $95041567 = 31 \times 37 \times 41 \times 43 \times 47$，所以预处理前50个， 对于 $n > 50$，使用递推式，递推式可转成矩阵乘法，如下： $$\begin{bmatrix} 0 & 0 & \cdots & 1\\ 1 & 1 & \cdots & 0\\ \vdots & \vdots &\ddots & \vdots\\ 0 & \cdots & 1 & 1 \end{bmatrix} \times \begin{bmatrix} B_n\\ B_{n+1}\\ \vdots\\ B_{n+p-1} \end{bmatrix} = \begin{bmatrix} B_{n+p-1}\\ B_{n+p}\\ \vdots \\ B_{n+2p-2}

I am using Single Table Inheritance for managing different types of projects. Models: class Project < ActiveRecord::Base end class SiteDesign < Project end class TechDesign < Project end Edit action from projects_controller: def edit @project = Project.find(params[:id]) end View edit.html.erb: <% form_for(@project, :url => {:controller => "projects",:action => "update"}) do |f| %> ... <%= submit_tag 'Update' %> <% end %> Update action of projects_controller: def update @project = Project.find(params[:id]) respond_to do |format| if @project.update_attributes(params[:project]) @project.type =

Because of company rules I can't use our domain class names; I am going to use an analogy instead. I have a table called projects which has a column called 'type' with possible values as 'indoor' & 'outdoor'. Records having indoor and outdoor have clear functionality separation and would fit pretty neatly as a STI implementation. Unfortunately I can't change the type-names and can't add classes inside the global namespace. Is there a way to specify a different value for 'type'? Note: I am not trying to use a different column name instead of 'type' for STI. I am looking to have a different

Are there standards or best practices yet when it comes to multi table inheritance in rails 3? So far the best article I could find was: http://mediumexposure.com/multiple-table-inheritance-active-record/ But even that needed some changes(e.g. moving the requires to an initializer instead of the old /config/environment.rb) Any better resources / standards? There's a guy in the Melbourne Ruby group I attend that's written a couple of blogs on table inheritance in rails and the comments are really helpful as well. It's not specifically Rails 3 but there's definitely some decent pointers in there