X-Git-Url: http://lambda.jimpryor.net/git/gitweb.cgi?p=lambda.git;a=blobdiff_plain;f=assignment10.mdwn;h=ba4df372f42db83b4479c27249f32e8882a50ec0;hp=004f8dfb22ebb43233c2b15c038ad4a98a081494;hb=148ffe89f0869ef1e94733dd1fb0efb16f9f34ed;hpb=edbcaaa62fe5748b26f7c5351116f71e987e0392 diff --git a/assignment10.mdwn b/assignment10.mdwn index 004f8dfb..ba4df372 100644 --- a/assignment10.mdwn +++ b/assignment10.mdwn @@ -39,15 +39,16 @@ Of course, if you need help or want us to review your efforts, we'll be glad to solution that traverses the tree exactly once, replacing each leaf as soon as you see it? - Consider a variation in which you must replace each leaf with - its number of occurrences in the tree. Is there any way to do - that with a single traversal? - You can assume that the tree is binary, leaf-labeled (no labels on the internal nodes), and that the leafs are, say, chars. - Here is [a hint](/hints/assignment_10_hint). + Here is [a hint](/hints/assignment_10_hint_1). + + Consider a variation in which you must replace each leaf with + its number of occurrences in the tree. Is there any way to do + that with a single traversal? (Here is [a hint](/hints/assignment_10_hint_2).) + 2. Armed with your solution to problem 1, try this: you have as input a leaf-labeled, binary tree whose labels are strings. You also have as input an interpretation function from strings to meanings. Let the meanings of your strings be primitive elements, for instance: @@ -73,7 +74,7 @@ Of course, if you need help or want us to review your efforts, we'll be glad to fun s -> M.bind (u s) (fun (a, s') -> f a s');; let elevate (m : 'a M) : 'a stateT(M) = - fun s -> Wrapped.bind w (fun a -> Wrapped.unit (a, s));; + fun s -> M.bind w (fun a -> M.unit (a, s));; That won't compile in OCaml because we use the `M`s in a way that's intuitive but unrecognized by OCaml. What OCaml will recognize is more complex. Don't worry; you won't need to code a general implementation of StateT. @@ -114,6 +115,18 @@ Of course, if you need help or want us to review your efforts, we'll be glad to What would be a helper function you could supply as a `k` that would report `#t` iff the original `lst` contained more instances of some symbol than non-instances? + + 5. Now we define a function `insert-co` which has the following behavior. It accepts as arguments three symbols, a list, and a handler. The first symbol is inserted before (to the left of) any occurrences in the list of the second symbol, and after (to the right of) any occurrences of the third symbol. The handler is then called with three arguments: the new list (with the insertions made), the number of "to-the-left" insertions that were made, and the number of "to-the-right" insertions that were made. Here is a partial implementation. You should fill in the blanks. If you get stuck, you can consult the walkthough in _The Little Schemer_, or talk to us. @@ -130,6 +143,20 @@ Of course, if you need help or want us to review your efforts, we'll be glad to (else (insert-co new before after (cdr lst) (lambda (new-lst lefts rights) ________)))))) + + 6. Go back to the "abSd" problem we presented in [[From List Zippers to Continuations]]. Consider the "tc" solution which uses explicitly passed continuations. Try to reimplement this using reset