unfold

How can I unfold the recurrence: T(n)=2T((n+2)/3)

自古美人都是妖i 提交于 2019-12-31 04:04:05
问题 I'm trying to solve this recurrence, but I don't know how to unfold it. T(n)=2T((n+2)/3) + 1 Can I ignore that "+2" and solve it as it was 2T(n/3) + 1? This comes from a from a problem that uses a V[a..b] array and makes this return: return V(X) + f(V, a, Y) + f(V, Z, b) Where Y is (2a+b)/3 and Z is (a+2b)/3 So: ((b-a+3)/3) = ((n+2)/3) 回答1: Sort of. The rigorous version of this trick is to set U(n) = T(n+1) and write U(n) = T(n+1) = 2T((n+1+2)/3) + 1 = 2T(n/3 + 1) + 1 = 2U(n/3) + 1. Then

What is the correct definition of `unfold` for an untagged tree?

旧时模样 提交于 2019-12-08 17:20:50
问题 I've been thinking in how to implement the equivalent of unfold for the following type: data Tree a = Node (Tree a) (Tree a) | Leaf a | Nil It was not immediately obvious since the standard unfold for lists returns a value and the next seed. For this datatype, it doesn't make sense, since there is no "value" until you reach a leaf node. This way, it only really makes sense to return new seeds or stop with a value. I'm using this definition: data Drive s a = Stop | Unit a | Branch s s deriving

How to set the default to unfolded when you open a file?

£可爱£侵袭症+ 提交于 2019-12-03 05:30:28
问题 In my .vimrc I've put set foldmethod=syntax to enable folding of methods etc. However, I don't like the default that everytime I open a file, the whole thing is folded. Is there a way to enable foldmethod , yet have files unfolded when I open them? 回答1: set foldlevel=99 should open all folds, regardless of method used for folding. With foldlevel=0 all folded, foldlevel=1 only somes, ... higher numbers will close fewer folds. 回答2: You can put this in your .vimrc : au BufRead * normal zR It

How to set the default to unfolded when you open a file?

一曲冷凌霜 提交于 2019-12-02 18:58:34
In my .vimrc I've put set foldmethod=syntax to enable folding of methods etc. However, I don't like the default that everytime I open a file, the whole thing is folded. Is there a way to enable foldmethod , yet have files unfolded when I open them? set foldlevel=99 should open all folds, regardless of method used for folding. With foldlevel=0 all folded, foldlevel=1 only somes, ... higher numbers will close fewer folds. You can put this in your .vimrc : au BufRead * normal zR It declares an automatic command ( au ), triggered when a buffer is read ( BufRead ), matching all files ( * ) and

How can I unfold the recurrence: T(n)=2T((n+2)/3)

不打扰是莪最后的温柔 提交于 2019-12-02 06:22:58
I'm trying to solve this recurrence, but I don't know how to unfold it. T(n)=2T((n+2)/3) + 1 Can I ignore that "+2" and solve it as it was 2T(n/3) + 1? This comes from a from a problem that uses a V[a..b] array and makes this return: return V(X) + f(V, a, Y) + f(V, Z, b) Where Y is (2a+b)/3 and Z is (a+2b)/3 So: ((b-a+3)/3) = ((n+2)/3) Sort of. The rigorous version of this trick is to set U(n) = T(n+1) and write U(n) = T(n+1) = 2T((n+1+2)/3) + 1 = 2T(n/3 + 1) + 1 = 2U(n/3) + 1. Then solve for U (e.g., U(n) = O(n^log3(2)) ) and then you should be able to find an asymptotic expression for T of

Is a lazy, breadth-first monadic rose tree unfold possible?

天涯浪子 提交于 2019-11-30 02:14:24
Data.Tree includes unfoldTreeM_BF and unfoldForestM_BF functions to construct trees breadth-first using the results of monadic actions. The tree unfolder can be written easily using the forest unfolder, so I'll focus on the latter: unfoldForestM_BF :: Monad m => (b -> m (a, [b])) -> [b] -> m [Tree a] Starting with a list of seeds, it applies a function to each, generating actions that will produce the tree roots and the seeds for the next level of unfolding. The algorithm used is somewhat strict, so using unfoldForestM_BF with the Identity monad is not exactly the same as using the pure

Is a lazy, breadth-first monadic rose tree unfold possible?

孤街醉人 提交于 2019-11-28 23:10:28
问题 Data.Tree includes unfoldTreeM_BF and unfoldForestM_BF functions to construct trees breadth-first using the results of monadic actions. The tree unfolder can be written easily using the forest unfolder, so I'll focus on the latter: unfoldForestM_BF :: Monad m => (b -> m (a, [b])) -> [b] -> m [Tree a] Starting with a list of seeds, it applies a function to each, generating actions that will produce the tree roots and the seeds for the next level of unfolding. The algorithm used is somewhat

How to do unfolding RFC 822

早过忘川 提交于 2019-11-28 10:47:33
问题 I am trying to write a vCard Parser and am having trouble unfolding lines. As you can see here: http://www.faqs.org/rfcs/rfc822.html look for "unfolding" it says that all the following are valid: Long string<return> <tab>continue Long string<return> <tab>(n*<tab>)continue Long string<return> <space>continue Long string<return> <space>(n*<space>)continue How do I unfold this? Is there a regex for this? I am using PHP if a class has been written I will use that :) 回答1: You could use this to