Merge some other stuff into GrokkingAlgorithms

This commit is contained in:
Joseph Ferano 2023-01-06 20:22:40 +07:00
parent 64144c7f38
commit 7ae44131fc
3 changed files with 68 additions and 67 deletions

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@ -1,7 +1,8 @@
#+TITLE: Notes & Exercises: Grokking Algorithms
#+AUTHOR: Joseph Ferano
#+OPTIONS: ^:{}
* Random
* Algorithms from the book
** Recursive sum
@ -45,6 +46,72 @@ print(sum_rec([1,2,3]))
#+RESULTS:
: 6
** Binary Search
*** OCaml
#+begin_src ocaml
let binary_search items target =
let rec f low high =
match (high - low) / 2 + low with
| mid when target = items.(mid) -> Some items.(mid)
| mid when target < items.(mid) -> f low mid
| mid when target > items.(mid) -> f mid high
| _ -> None
in f 0 (Array.length items);;
binary_search [|1;2;3;4;5|] 3;;
#+end_src
** Selection Sort
Runtime O(n^{2})
*** Python
#+begin_src python
def selection_sort(arr):
sorted_list = []
for i in range(len(arr)):
max = arr[0]
for count, value in enumerate(arr):
if value > max:
max = value
sorted_list.append(max)
arr.remove(max)
return sorted_list
selection_sort([2,1,5,3,4])
#+end_src
*** OCaml
Really reinventing the wheel on this one...
#+begin_src ocaml
let max_element = function
| [] -> invalid_arg "empty list"
| x::xs ->
let rec f acc = function
| [] -> acc
| x::xs -> f (if x > acc then x else acc) xs
in f x xs
let remove item list =
let rec f acc item = function
| [] -> List.rev acc
| x::xs -> if item = x then (List.rev acc) @ xs else f (x::acc) item xs
in f [] item list
let selection_sort list =
let rec f acc = function
| [] -> acc
| xs ->
let m = max xs
in f (m::acc) (remove m xs)
in f [] list
#+end_src
** Quicksort
*** Python

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@ -1,15 +0,0 @@
** OCaml
#+begin_src ocaml
let binary_search items target =
let rec f low high =
match (high - low) / 2 + low with
| mid when target = items.(mid) -> Some items.(mid)
| mid when target < items.(mid) -> f low mid
| mid when target > items.(mid) -> f mid high
| _ -> None
in f 0 (Array.length items);;
binary_search [|1;2;3;4;5|] 3;;
#+end_src

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@ -1,51 +0,0 @@
#+OPTIONS: ^:{}
** Selection Sort
Runtime O(n^{2})
*** Python
#+begin_src python
def selection_sort(arr):
sorted_list = []
for i in range(len(arr)):
max = arr[0]
for count, value in enumerate(arr):
if value > max:
max = value
sorted_list.append(max)
arr.remove(max)
return sorted_list
selection_sort([2,1,5,3,4])
#+end_src
*** OCaml
Really reinventing the wheel on this one...
#+begin_src ocaml
let max_element = function
| [] -> invalid_arg "empty list"
| x::xs ->
let rec f acc = function
| [] -> acc
| x::xs -> f (if x > acc then x else acc) xs
in f x xs
let remove item list =
let rec f acc item = function
| [] -> List.rev acc
| x::xs -> if item = x then (List.rev acc) @ xs else f (x::acc) item xs
in f [] item list
let selection_sort list =
let rec f acc = function
| [] -> acc
| xs ->
let m = max xs
in f (m::acc) (remove m xs)
in f [] list
#+end_src