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http://rosettacode.org/wiki/Sort_an_array_of_composite_structures | Sort an array of composite structures |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Sort an array of composite structures by a key.
For example, if you define a composite structure that presents a name-value pair (in pseudo-code):
Define structure pair such that:
name as a string
value as a string
and an array of such pairs:
x: array of pairs
then define a sort routine that sorts the array x by the key name.
This task can always be accomplished with Sorting Using a Custom Comparator.
If your language is not listed here, please see the other article.
| #Action.21 | Action! | DEFINE PTR="CARD"
DEFINE PAIR_SIZE="4"
DEFINE PAIR_COUNT="1"
TYPE Pair=[PTR name,value]
BYTE ARRAY pairs(100)
BYTE count=[0]
PTR FUNC GetItemAddr(INT index)
PTR addr
addr=pairs+index*PAIR_SIZE
RETURN (addr)
PROC PrintArray()
INT i
Pair POINTER p
Put('[)
FOR i=0 TO count-1
DO
IF i>0 THEN Put(' ) FI
p=GetItemAddr(i)
PrintF("(%S,%S)",p.name,p.value)
OD
Put(']) PutE()
RETURN
PROC Append(CHAR ARRAY n,v)
Pair POINTER dst
dst=GetItemAddr(count)
dst.name=n
dst.value=v
count==+1
RETURN
PROC InitData()
Append("Warsaw","Poland")
Append("Prague","Czech Republic")
Append("London","United Kingdom")
Append("Paris","France")
Append("Madrit","Spain")
Append("Berlin","Germany")
Append("Rome","Italy")
Append("Moscow","Russia")
Append("Budapest","Hungary")
RETURN
PROC Sort()
INT i,j,minpos
CHAR ARRAY tmp
Pair POINTER p1,p2
FOR i=0 TO count-2
DO
minpos=i
FOR j=i+1 TO count-1
DO
p1=GetItemAddr(minpos)
p2=GetItemAddr(j)
IF SCompare(p1.name,p2.name)>0 THEN
minpos=j
FI
OD
IF minpos#i THEN
p1=GetItemAddr(minpos)
p2=GetItemAddr(i)
tmp=p1.name p1.name=p2.name p2.name=tmp
tmp=p1.value p1.value=p2.value p2.value=tmp
FI
OD
RETURN
PROC Main()
InitData()
PrintE("Array before sort:")
PrintArray() PutE()
Sort()
PrintE("Array after sort:")
PrintArray()
RETURN |
http://rosettacode.org/wiki/Sort_an_array_of_composite_structures | Sort an array of composite structures |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Sort an array of composite structures by a key.
For example, if you define a composite structure that presents a name-value pair (in pseudo-code):
Define structure pair such that:
name as a string
value as a string
and an array of such pairs:
x: array of pairs
then define a sort routine that sorts the array x by the key name.
This task can always be accomplished with Sorting Using a Custom Comparator.
If your language is not listed here, please see the other article.
| #Ada | Ada | with Ada.Strings.Unbounded; use Ada.Strings.Unbounded;
with Ada.Text_IO; use Ada.Text_IO;
with Ada.Containers.Generic_Array_Sort;
procedure Demo_Array_Sort is
function "+" (S : String) return Unbounded_String renames To_Unbounded_String;
type A_Composite is
record
Name : Unbounded_String;
Value : Unbounded_String;
end record;
function "<" (L, R : A_Composite) return Boolean is
begin
return L.Name < R.Name;
end "<";
procedure Put_Line (C : A_Composite) is
begin
Put_Line (To_String (C.Name) & " " & To_String (C.Value));
end Put_Line;
type An_Array is array (Natural range <>) of A_Composite;
procedure Sort is new Ada.Containers.Generic_Array_Sort (Natural, A_Composite, An_Array);
Data : An_Array := (1 => (Name => +"Joe", Value => +"5531"),
2 => (Name => +"Adam", Value => +"2341"),
3 => (Name => +"Bernie", Value => +"122"),
4 => (Name => +"Walter", Value => +"1234"),
5 => (Name => +"David", Value => +"19"));
begin
Sort (Data);
for I in Data'Range loop
Put_Line (Data (I));
end loop;
end Demo_Array_Sort; |
http://rosettacode.org/wiki/Sorting_algorithms/Counting_sort | Sorting algorithms/Counting sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Counting sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Task
Implement the Counting sort. This is a way of sorting integers when the minimum and maximum value are known.
Pseudocode
function countingSort(array, min, max):
count: array of (max - min + 1) elements
initialize count with 0
for each number in array do
count[number - min] := count[number - min] + 1
done
z := 0
for i from min to max do
while ( count[i - min] > 0 ) do
array[z] := i
z := z+1
count[i - min] := count[i - min] - 1
done
done
The min and max can be computed apart, or be known a priori.
Note: we know that, given an array of integers, its maximum and minimum values can be always found; but if we imagine the worst case for an array that can hold up to 32 bit integers, we see that in order to hold the counts, an array of up to 232 elements may be needed. I.E.: we need to hold a count value up to 232-1, which is a little over 4.2 Gbytes. So the counting sort is more practical when the range is (very) limited, and minimum and maximum values are known a priori. (However, as a counterexample, the use of sparse arrays minimizes the impact of the memory usage, as well as removing the need of having to know the minimum and maximum values a priori.)
| #PowerShell | PowerShell |
function countingSort($array) {
$minmax = $array | Measure-Object -Minimum -Maximum
$min, $max = $minmax.Minimum, $minmax.Maximum
$count = @(0) * ($max - $min + 1)
foreach ($number in $array) {
$count[$number - $min] = $count[$number - $min] + 1
}
$z = 0
foreach ($i in $min..$max) {
while (0 -lt $count[$i - $min]) {
$array[$z] = $i
$z = $z+1
$count[$i - $min] = $count[$i - $min] - 1
}
}
$array
}
$array = foreach ($i in 1..50) {Get-Random -Minimum 0 -Maximum 26}
"$array"
"$(countingSort $array)"
|
http://rosettacode.org/wiki/Solve_a_Numbrix_puzzle | Solve a Numbrix puzzle | Numbrix puzzles are similar to Hidato.
The most important difference is that it is only possible to move 1 node left, right, up, or down (sometimes referred to as the Von Neumann neighborhood).
Published puzzles also tend not to have holes in the grid and may not always indicate the end node.
Two examples follow:
Example 1
Problem.
0 0 0 0 0 0 0 0 0
0 0 46 45 0 55 74 0 0
0 38 0 0 43 0 0 78 0
0 35 0 0 0 0 0 71 0
0 0 33 0 0 0 59 0 0
0 17 0 0 0 0 0 67 0
0 18 0 0 11 0 0 64 0
0 0 24 21 0 1 2 0 0
0 0 0 0 0 0 0 0 0
Solution.
49 50 51 52 53 54 75 76 81
48 47 46 45 44 55 74 77 80
37 38 39 40 43 56 73 78 79
36 35 34 41 42 57 72 71 70
31 32 33 14 13 58 59 68 69
30 17 16 15 12 61 60 67 66
29 18 19 20 11 62 63 64 65
28 25 24 21 10 1 2 3 4
27 26 23 22 9 8 7 6 5
Example 2
Problem.
0 0 0 0 0 0 0 0 0
0 11 12 15 18 21 62 61 0
0 6 0 0 0 0 0 60 0
0 33 0 0 0 0 0 57 0
0 32 0 0 0 0 0 56 0
0 37 0 1 0 0 0 73 0
0 38 0 0 0 0 0 72 0
0 43 44 47 48 51 76 77 0
0 0 0 0 0 0 0 0 0
Solution.
9 10 13 14 19 20 63 64 65
8 11 12 15 18 21 62 61 66
7 6 5 16 17 22 59 60 67
34 33 4 3 24 23 58 57 68
35 32 31 2 25 54 55 56 69
36 37 30 1 26 53 74 73 70
39 38 29 28 27 52 75 72 71
40 43 44 47 48 51 76 77 78
41 42 45 46 49 50 81 80 79
Task
Write a program to solve puzzles of this ilk,
demonstrating your program by solving the above examples.
Extra credit for other interesting examples.
Related tasks
A* search algorithm
Solve a Holy Knight's tour
Knight's tour
N-queens problem
Solve a Hidato puzzle
Solve a Holy Knight's tour
Solve a Hopido puzzle
Solve the no connection puzzle
| #C.2B.2B | C++ |
#include <vector>
#include <sstream>
#include <iostream>
#include <iterator>
#include <cstdlib>
#include <string>
#include <bitset>
using namespace std;
typedef bitset<4> hood_t;
struct node
{
int val;
hood_t neighbors;
};
class nSolver
{
public:
void solve(vector<string>& puzz, int max_wid)
{
if (puzz.size() < 1) return;
wid = max_wid;
hei = static_cast<int>(puzz.size()) / wid;
max = wid * hei;
int len = max, c = 0;
arr = vector<node>(len, node({ 0, 0 }));
weHave = vector<bool>(len + 1, false);
for (const auto& s : puzz)
{
if (s == "*") { max--; arr[c++].val = -1; continue; }
arr[c].val = atoi(s.c_str());
if (arr[c].val > 0) weHave[arr[c].val] = true;
c++;
}
solveIt(); c = 0;
for (auto&& s : puzz)
{
if (s == ".")
s = std::to_string(arr[c].val);
c++;
}
}
private:
bool search(int x, int y, int w, int dr)
{
if ((w > max && dr > 0) || (w < 1 && dr < 0) || (w == max && weHave[w])) return true;
node& n = arr[x + y * wid];
n.neighbors = getNeighbors(x, y);
if (weHave[w])
{
for (int d = 0; d < 4; d++)
{
if (n.neighbors[d])
{
int a = x + dx[d], b = y + dy[d];
if (arr[a + b * wid].val == w)
if (search(a, b, w + dr, dr))
return true;
}
}
return false;
}
for (int d = 0; d < 4; d++)
{
if (n.neighbors[d])
{
int a = x + dx[d], b = y + dy[d];
if (arr[a + b * wid].val == 0)
{
arr[a + b * wid].val = w;
if (search(a, b, w + dr, dr))
return true;
arr[a + b * wid].val = 0;
}
}
}
return false;
}
hood_t getNeighbors(int x, int y)
{
hood_t retval;
for (int xx = 0; xx < 4; xx++)
{
int a = x + dx[xx], b = y + dy[xx];
if (a < 0 || b < 0 || a >= wid || b >= hei)
continue;
if (arr[a + b * wid].val > -1)
retval.set(xx);
}
return retval;
}
void solveIt()
{
int x, y, z; findStart(x, y, z);
if (z == 99999) { cout << "\nCan't find start point!\n"; return; }
search(x, y, z + 1, 1);
if (z > 1) search(x, y, z - 1, -1);
}
void findStart(int& x, int& y, int& z)
{
z = 99999;
for (int b = 0; b < hei; b++)
for (int a = 0; a < wid; a++)
if (arr[a + wid * b].val > 0 && arr[a + wid * b].val < z)
{
x = a; y = b;
z = arr[a + wid * b].val;
}
}
vector<int> dx = vector<int>({ -1, 1, 0, 0 });
vector<int> dy = vector<int>({ 0, 0, -1, 1 });
int wid, hei, max;
vector<node> arr;
vector<bool> weHave;
};
//------------------------------------------------------------------------------
int main(int argc, char* argv[])
{
int wid; string p;
//p = ". . . . . . . . . . . 46 45 . 55 74 . . . 38 . . 43 . . 78 . . 35 . . . . . 71 . . . 33 . . . 59 . . . 17 . . . . . 67 . . 18 . . 11 . . 64 . . . 24 21 . 1 2 . . . . . . . . . . ."; wid = 9;
//p = ". . . . . . . . . . 11 12 15 18 21 62 61 . . 6 . . . . . 60 . . 33 . . . . . 57 . . 32 . . . . . 56 . . 37 . 1 . . . 73 . . 38 . . . . . 72 . . 43 44 47 48 51 76 77 . . . . . . . . . ."; wid = 9;
p = "17 . . . 11 . . . 59 . 15 . . 6 . . 61 . . . 3 . . . 63 . . . . . . 66 . . . . 23 24 . 68 67 78 . 54 55 . . . . 72 . . . . . . 35 . . . 49 . . . 29 . . 40 . . 47 . 31 . . . 39 . . . 45"; wid = 9;
istringstream iss(p); vector<string> puzz;
copy(istream_iterator<string>(iss), istream_iterator<string>(), back_inserter<vector<string> >(puzz));
nSolver s; s.solve(puzz, wid);
int c = 0;
for (const auto& s : puzz)
{
if (s != "*" && s != ".")
{
if (atoi(s.c_str()) < 10) cout << "0";
cout << s << " ";
}
else cout << " ";
if (++c >= wid) { cout << endl; c = 0; }
}
cout << endl << endl;
return system("pause");
}
|
http://rosettacode.org/wiki/Sort_an_integer_array | Sort an integer array |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Sort an array (or list) of integers in ascending numerical order.
Use a sorting facility provided by the language/library if possible.
| #AWK | AWK |
# syntax: GAWK -f SORT_AN_INTEGER_ARRAY.AWK
BEGIN {
split("9,10,3,1234,99,1,200,2,0,-2",arr,",")
show("@unsorted","unsorted")
show("@val_num_asc","sorted ascending")
show("@val_num_desc","sorted descending")
exit(0)
}
function show(sequence,description, i) {
PROCINFO["sorted_in"] = sequence
for (i in arr) {
printf("%s ",arr[i])
}
printf("\t%s\n",description)
}
|
http://rosettacode.org/wiki/Sort_a_list_of_object_identifiers | Sort a list of object identifiers |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Object identifiers (OID)
Task
Show how to sort a list of OIDs, in their natural sort order.
Details
An OID consists of one or more non-negative integers in base 10, separated by dots. It starts and ends with a number.
Their natural sort order is lexicographical with regard to the dot-separated fields, using numeric comparison between fields.
Test case
Input (list of strings)
Output (list of strings)
1.3.6.1.4.1.11.2.17.19.3.4.0.10
1.3.6.1.4.1.11.2.17.5.2.0.79
1.3.6.1.4.1.11.2.17.19.3.4.0.4
1.3.6.1.4.1.11150.3.4.0.1
1.3.6.1.4.1.11.2.17.19.3.4.0.1
1.3.6.1.4.1.11150.3.4.0
1.3.6.1.4.1.11.2.17.5.2.0.79
1.3.6.1.4.1.11.2.17.19.3.4.0.1
1.3.6.1.4.1.11.2.17.19.3.4.0.4
1.3.6.1.4.1.11.2.17.19.3.4.0.10
1.3.6.1.4.1.11150.3.4.0
1.3.6.1.4.1.11150.3.4.0.1
Related tasks
Natural sorting
Sort using a custom comparator
| #C.23 | C# | using System;
using System.Linq;
using System.Collections.Generic;
public class Program
{
public static void Main() {
var oids = new [] {
"1.3.6.1.4.1.11.2.17.19.3.4.0.10",
"1.3.6.1.4.1.11.2.17.5.2.0.79",
"1.3.6.1.4.1.11.2.17.19.3.4.0.4",
"1.3.6.1.4.1.11150.3.4.0.1",
"1.3.6.1.4.1.11.2.17.19.3.4.0.1",
"1.3.6.1.4.1.11150.3.4.0"
};
var comparer = Comparer<string>.Create((a, b) => {
int c = a.Split('.').Select(int.Parse)
.Zip(b.Split('.').Select(int.Parse),
(i, j) => i.CompareTo(j)).FirstOrDefault(x => x != 0);
return c != 0 ? c : a.Length.CompareTo(b.Length);
});
Array.Sort(oids, comparer);
Console.WriteLine(string.Join(Environment.NewLine, oids));
}
} |
http://rosettacode.org/wiki/Sort_disjoint_sublist | Sort disjoint sublist |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Given a list of values and a set of integer indices into that value list, the task is to sort the values at the given indices, while preserving the values at indices outside the set of those to be sorted.
Make your example work with the following list of values and set of indices:
Values: [7, 6, 5, 4, 3, 2, 1, 0]
Indices: {6, 1, 7}
Where the correct result would be:
[7, 0, 5, 4, 3, 2, 1, 6].
In case of one-based indexing, rather than the zero-based indexing above, you would use the indices {7, 2, 8} instead.
The indices are described as a set rather than a list but any collection-type of those indices without duplication may be used as long as the example is insensitive to the order of indices given.
Cf.
Order disjoint list items
| #D | D | import std.algorithm, std.range, std.array;
void main() {
auto data = [7, 6, 5, 4, 3, 2, 1, 0];
auto indices = [6, 1, 7];
data.indexed(indices.sort()).sort();
assert(data == [7, 0, 5, 4, 3, 2, 1, 6]);
} |
http://rosettacode.org/wiki/Sort_stability | Sort stability |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
When sorting records in a table by a particular column or field, a stable sort will always retain the relative order of records that have the same key.
Example
In this table of countries and cities, a stable sort on the second column, the cities, would keep the US Birmingham above the UK Birmingham.
(Although an unstable sort might, in this case, place the US Birmingham above the UK Birmingham, a stable sort routine would guarantee it).
UK London
US New York
US Birmingham
UK Birmingham
Similarly, stable sorting on just the first column would generate UK London as the first item and US Birmingham as the last item (since the order of the elements having the same first word – UK or US – would be maintained).
Task
Examine the documentation on any in-built sort routines supplied by a language.
Indicate if an in-built routine is supplied
If supplied, indicate whether or not the in-built routine is stable.
(This Wikipedia table shows the stability of some common sort routines).
| #Lua | Lua |
Module Stable {
Inventory queue alfa
Stack New {
Data "UK", "London","US", "New York","US", "Birmingham", "UK","Birmingham"
While not empty {
Append alfa, Letter$:=letter$
}
}
sort alfa
k=Each(alfa)
Document A$
NL$={
}
While k {
A$= Eval$(k, k^)+" "+eval$(k)+NL$
}
Clipboard A$ ' write to clipboard
Report A$
}
Call Stable
Output:
UK London
UK Birmingham
US New York
US Birmingham
|
http://rosettacode.org/wiki/Sort_stability | Sort stability |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
When sorting records in a table by a particular column or field, a stable sort will always retain the relative order of records that have the same key.
Example
In this table of countries and cities, a stable sort on the second column, the cities, would keep the US Birmingham above the UK Birmingham.
(Although an unstable sort might, in this case, place the US Birmingham above the UK Birmingham, a stable sort routine would guarantee it).
UK London
US New York
US Birmingham
UK Birmingham
Similarly, stable sorting on just the first column would generate UK London as the first item and US Birmingham as the last item (since the order of the elements having the same first word – UK or US – would be maintained).
Task
Examine the documentation on any in-built sort routines supplied by a language.
Indicate if an in-built routine is supplied
If supplied, indicate whether or not the in-built routine is stable.
(This Wikipedia table shows the stability of some common sort routines).
| #M2000_Interpreter | M2000 Interpreter |
Module Stable {
Inventory queue alfa
Stack New {
Data "UK", "London","US", "New York","US", "Birmingham", "UK","Birmingham"
While not empty {
Append alfa, Letter$:=letter$
}
}
sort alfa
k=Each(alfa)
Document A$
NL$={
}
While k {
A$= Eval$(k, k^)+" "+eval$(k)+NL$
}
Clipboard A$ ' write to clipboard
Report A$
}
Call Stable
Output:
UK London
UK Birmingham
US New York
US Birmingham
|
http://rosettacode.org/wiki/Sort_stability | Sort stability |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
When sorting records in a table by a particular column or field, a stable sort will always retain the relative order of records that have the same key.
Example
In this table of countries and cities, a stable sort on the second column, the cities, would keep the US Birmingham above the UK Birmingham.
(Although an unstable sort might, in this case, place the US Birmingham above the UK Birmingham, a stable sort routine would guarantee it).
UK London
US New York
US Birmingham
UK Birmingham
Similarly, stable sorting on just the first column would generate UK London as the first item and US Birmingham as the last item (since the order of the elements having the same first word – UK or US – would be maintained).
Task
Examine the documentation on any in-built sort routines supplied by a language.
Indicate if an in-built routine is supplied
If supplied, indicate whether or not the in-built routine is stable.
(This Wikipedia table shows the stability of some common sort routines).
| #Mathematica.2FWolfram_Language | Mathematica/Wolfram Language | mylist = {{1, 2, 3}, {4, 5, 6}, {5, 4, 3}, {9, 5, 1}};
Sort[mylist, (#1[[2]] < #2[[2]]) &]
#[[Ordering[#[[All, 2]]]]] &[mylist] |
http://rosettacode.org/wiki/Sort_numbers_lexicographically | Sort numbers lexicographically |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Given an integer n, return 1──►n (inclusive) in lexicographical order.
Show all output here on this page.
Example
Given 13,
return: [1,10,11,12,13,2,3,4,5,6,7,8,9].
| #Sidef | Sidef | func lex_order (n) {
[range(1, n, n.sgn)...].sort_by { Str(_) }
}
[13, 21, -22].each {|n|
printf("%4s: %s\n", n, lex_order(n))
} |
http://rosettacode.org/wiki/Sort_numbers_lexicographically | Sort numbers lexicographically |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Given an integer n, return 1──►n (inclusive) in lexicographical order.
Show all output here on this page.
Example
Given 13,
return: [1,10,11,12,13,2,3,4,5,6,7,8,9].
| #Swift | Swift | func lex(n: Int) -> [Int] {
return stride(from: 1, through: n, by: n.signum()).map({ String($0) }).sorted().compactMap(Int.init)
}
print("13: \(lex(n: 13))")
print("21: \(lex(n: 21))")
print("-22: \(lex(n: -22))") |
http://rosettacode.org/wiki/Sort_numbers_lexicographically | Sort numbers lexicographically |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Given an integer n, return 1──►n (inclusive) in lexicographical order.
Show all output here on this page.
Example
Given 13,
return: [1,10,11,12,13,2,3,4,5,6,7,8,9].
| #Tcl | Tcl | proc iota {num {start 0} {step 1}} {
set res {}
set end [+ $start [* $step $num]]
for {set n $start} {$n != $end} {incr n $step} {
lappend res $n
}
return $res
}
puts [lsort [iota 13 1]] |
http://rosettacode.org/wiki/Sort_three_variables | Sort three variables |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Sort (the values of) three variables (X, Y, and Z) that contain any value (numbers and/or literals).
If that isn't possible in your language, then just sort numbers (and note if they can be floating point, integer, or other).
I.E.: (for the three variables x, y, and z), where:
x = 'lions, tigers, and'
y = 'bears, oh my!'
z = '(from the "Wizard of OZ")'
After sorting, the three variables would hold:
x = '(from the "Wizard of OZ")'
y = 'bears, oh my!'
z = 'lions, tigers, and'
For numeric value sorting, use:
I.E.: (for the three variables x, y, and z), where:
x = 77444
y = -12
z = 0
After sorting, the three variables would hold:
x = -12
y = 0
z = 77444
The variables should contain some form of a number, but specify if the algorithm
used can be for floating point or integers. Note any limitations.
The values may or may not be unique.
The method used for sorting can be any algorithm; the goal is to use the most idiomatic in the computer programming language used.
More than one algorithm could be shown if one isn't clearly the better choice.
One algorithm could be:
• store the three variables x, y, and z
into an array (or a list) A
• sort (the three elements of) the array A
• extract the three elements from the array and place them in the
variables x, y, and z in order of extraction
Another algorithm (only for numeric values):
x= 77444
y= -12
z= 0
low= x
mid= y
high= z
x= min(low, mid, high) /*determine the lowest value of X,Y,Z. */
z= max(low, mid, high) /* " " highest " " " " " */
y= low + mid + high - x - z /* " " middle " " " " " */
Show the results of the sort here on this page using at least the values of those shown above.
| #Ksh | Ksh |
#!/bin/ksh
# Sort three variables that may contain any value (numbers and/or literals)
# # Variables:
#
xl='lions, tigers, and'
yl='bears, oh my!'
zl='(from the "Wizard of OZ")'
typeset -i xn=77444
typeset -F yn=-12.0
typeset -i zn=0
# # Functions:
#
# # Function _intoarray(x, y, z, arr) - put 3 variables into arr[]
#
function _intoarray {
typeset _x ; nameref _x="$1"
typeset _y ; nameref _y="$2"
typeset _z ; nameref _z="$3"
typeset _arr ; nameref _arr="$4"
_arr=( "${_x}" "${_y}" "${_z}" )
}
# # Function _arraysort(arr) - return sorted array (any type of elements)
#
function _arraysort {
typeset _arr ; nameref _arr="$1"
typeset _i _j ; integer _i _j
_sorttype _arr
case $? in
0) # Literal sort
for (( _i=1; _i<${#_arr[*]}; _i++ )); do
_val="${_arr[_i]}"
(( _j = _i - 1 ))
while (( _j>=0 )) && [[ "${_arr[_j]}" > "${_val}" ]]; do
_arr[_j+1]="${_arr[_j]}"
(( _j-- ))
done
_arr[_j+1]="${_val}"
done
;;
1) # Numeric sort
for (( _i=1; _i<${#_arr[*]}; _i++ )); do
_val=${_arr[_i]}
(( _j = _i - 1 ))
while (( _j>=0 && _arr[_j]>_val )); do
_arr[_j+1]=${_arr[_j]}
(( _j-- ))
done
_arr[_j+1]=${_val}
done
;;
esac
}
# # Function _sorttype(_arr) - return 0 = Literal sort; 1 = Numeric sort
#
function _sorttype {
typeset _arr ; nameref _arr="$1"
typeset _i ; integer _i
for ((_i=0; _i<${#_arr[*]}; _i++)); do
[[ ${_arr[_i]} != *(\-)+(\d)*(\.)*(\d) ]] && return 0
done
return 1
}
# # Function _outofarray(x, y, z, arr) - Put array elements into x, y, z
#
function _outofarray {
typeset _x ; nameref _x="$1"
typeset _y ; nameref _y="$2"
typeset _z ; nameref _z="$3"
typeset _arr ; nameref _arr="$4"
_x="${_arr[0]}"
_y="${_arr[1]}"
_z="${_arr[2]}"
}
######
# main #
######
unset x y z
printf "Numeric Variables:\n%s\n%s\n%s\n\n" "${xn}" "${yn}" "${zn}"
typeset -a arrayn
_intoarray xn yn zn arrayn
_arraysort arrayn
_outofarray x y z arrayn
printf "Sorted Variables:\n%s\n%s\n%s\n\n" "${x}" "${y}" "${z}"
unset x y z
printf "Literal Variables:\n%s\n%s\n%s\n\n" "${xl}" "${yl}" "${zl}"
typeset -a arrayl
_intoarray xl yl zl arrayl
_arraysort arrayl
_outofarray x y z arrayl
printf "Sorted Variables:\n%s\n%s\n%s\n\n" "${x}" "${y}" "${z}" |
http://rosettacode.org/wiki/Sort_three_variables | Sort three variables |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Sort (the values of) three variables (X, Y, and Z) that contain any value (numbers and/or literals).
If that isn't possible in your language, then just sort numbers (and note if they can be floating point, integer, or other).
I.E.: (for the three variables x, y, and z), where:
x = 'lions, tigers, and'
y = 'bears, oh my!'
z = '(from the "Wizard of OZ")'
After sorting, the three variables would hold:
x = '(from the "Wizard of OZ")'
y = 'bears, oh my!'
z = 'lions, tigers, and'
For numeric value sorting, use:
I.E.: (for the three variables x, y, and z), where:
x = 77444
y = -12
z = 0
After sorting, the three variables would hold:
x = -12
y = 0
z = 77444
The variables should contain some form of a number, but specify if the algorithm
used can be for floating point or integers. Note any limitations.
The values may or may not be unique.
The method used for sorting can be any algorithm; the goal is to use the most idiomatic in the computer programming language used.
More than one algorithm could be shown if one isn't clearly the better choice.
One algorithm could be:
• store the three variables x, y, and z
into an array (or a list) A
• sort (the three elements of) the array A
• extract the three elements from the array and place them in the
variables x, y, and z in order of extraction
Another algorithm (only for numeric values):
x= 77444
y= -12
z= 0
low= x
mid= y
high= z
x= min(low, mid, high) /*determine the lowest value of X,Y,Z. */
z= max(low, mid, high) /* " " highest " " " " " */
y= low + mid + high - x - z /* " " middle " " " " " */
Show the results of the sort here on this page using at least the values of those shown above.
| #Little_Man_Computer | Little Man Computer |
// Little Man Computer
// Sort x, y, z, in ascending order
// Based on a sorting network:
// if x > z then swap( x, z)
// if x > y then swap( x, y)
// if y > z then swap( y, z)
// with the addition that if the 2nd swap is executed
// then the 3rd comparison is not needed.
// Read numbers x, y, z, and display in their original order
INP
STA x
OUT
INP
STA y
OUT
INP
STA z
OUT
// Sort so that x <= y <= z, and display in new order
LDA z
SUB x
BRP label1
LDA x
STA t
LDA z
STA x
LDA t
STA z
label1 LDA y
SUB x
BRP label2
LDA x
STA t
LDA y
STA x
LDA t
STA y
BRA sorted // added to the sorting network
label2 LDA z
SUB y
BRP sorted
LDA y
STA t
LDA z
STA y
LDA t
STA z
sorted LDA x
OUT
LDA y
OUT
LDA z
OUT
HLT
x DAT
y DAT
z DAT
t DAT
// end
|
http://rosettacode.org/wiki/Sort_using_a_custom_comparator | Sort using a custom comparator |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Sort an array (or list) of strings in order of descending length, and in ascending lexicographic order for strings of equal length.
Use a sorting facility provided by the language/library, combined with your own callback comparison function.
Note: Lexicographic order is case-insensitive.
| #FunL | FunL | def preceeds( a, b ) = b.length() < a.length() or b.length() == a.length() and a.compareToIgnoreCase( b ) < 0
println( ["here", "are", "Some", "sample", "strings", "to", "be", "sorted"].sortWith(preceeds) ) |
http://rosettacode.org/wiki/Sort_using_a_custom_comparator | Sort using a custom comparator |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Sort an array (or list) of strings in order of descending length, and in ascending lexicographic order for strings of equal length.
Use a sorting facility provided by the language/library, combined with your own callback comparison function.
Note: Lexicographic order is case-insensitive.
| #F.C5.8Drmul.C3.A6 | Fōrmulæ | package main
import (
"fmt"
"sort"
"strings"
)
type sortable []string
func (s sortable) Len() int { return len(s) }
func (s sortable) Swap(i, j int) { s[i], s[j] = s[j], s[i] }
func (s sortable) Less(i, j int) bool {
a, b := s[i], s[j]
if len(a) != len(b) {
return len(a) > len(b)
}
return strings.ToLower(a) < strings.ToLower(b)
}
func main() {
var s sortable = strings.Fields("To tell your name the livelong day To an admiring bog")
fmt.Println(s, "(original)")
sort.Sort(s)
fmt.Println(s, "(sorted)")
} |
http://rosettacode.org/wiki/Sorting_algorithms/Comb_sort | Sorting algorithms/Comb sort | Sorting algorithms/Comb sort
You are encouraged to solve this task according to the task description, using any language you may know.
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Implement a comb sort.
The Comb Sort is a variant of the Bubble Sort.
Like the Shell sort, the Comb Sort increases the gap used in comparisons and exchanges.
Dividing the gap by
(
1
−
e
−
φ
)
−
1
≈
1.247330950103979
{\displaystyle (1-e^{-\varphi })^{-1}\approx 1.247330950103979}
works best, but 1.3 may be more practical.
Some implementations use the insertion sort once the gap is less than a certain amount.
Also see
the Wikipedia article: Comb sort.
Variants:
Combsort11 makes sure the gap ends in (11, 8, 6, 4, 3, 2, 1), which is significantly faster than the other two possible endings.
Combsort with different endings changes to a more efficient sort when the data is almost sorted (when the gap is small). Comb sort with a low gap isn't much better than the Bubble Sort.
Pseudocode:
function combsort(array input)
gap := input.size //initialize gap size
loop until gap = 1 and swaps = 0
//update the gap value for a next comb. Below is an example
gap := int(gap / 1.25)
if gap < 1
//minimum gap is 1
gap := 1
end if
i := 0
swaps := 0 //see Bubble Sort for an explanation
//a single "comb" over the input list
loop until i + gap >= input.size //see Shell sort for similar idea
if input[i] > input[i+gap]
swap(input[i], input[i+gap])
swaps := 1 // Flag a swap has occurred, so the
// list is not guaranteed sorted
end if
i := i + 1
end loop
end loop
end function
| #REXX | REXX | /*REXX program sorts and displays a stemmed array using the comb sort algorithm. */
call gen /*generate the @ array elements. */
call show 'before sort' /*display the before array elements. */
say copies('▒', 60) /*display a separator line (a fence). */
call combSort # /*invoke the comb sort (with # entries)*/
call show ' after sort' /*display the after array elements. */
exit 0 /*stick a fork in it, we're all done. */
/*──────────────────────────────────────────────────────────────────────────────────────*/
combSort: procedure expose @.; parse arg N /*N: is the number of @ elements. */
g= N-1 /*G: is the gap between the sort COMBs*/
do until g<=1 & done; done= 1 /*assume sort is done (so far). */
g= g * 0.8 % 1 /*equivalent to: g= trunc( g / 1.25) */
if g==0 then g= 1 /*handle case of the gap is too small. */
do j=1 until $>=N; $= j+g /*$: a temporary index (pointer). */
if @.j>@.$ then do; _= @.j; @.j= @.$; @.$= _; done= 0; end
end /*j*/
end /*until*/ /* [↑] swap two elements in the array.*/
return
/*──────────────────────────────────────────────────────────────────────────────────────*/
gen: @.=; @.1 = '----polygon--- sides' ; @.12 = "dodecagon 12"
@.2 = '============== =======' ; @.13 = "tridecagon 13"
@.3 = 'triangle 3' ; @.14 = "tetradecagon 14"
@.4 = 'quadrilateral 4' ; @.15 = "pentadecagon 15"
@.5 = 'pentagon 5' ; @.16 = "hexadecagon 16"
@.6 = 'hexagon 6' ; @.17 = "heptadecagon 17"
@.7 = 'heptagon 7' ; @.18 = "octadecagon 18"
@.8 = 'octagon 8' ; @.19 = "enneadecagon 19"
@.9 = 'nonagon 9' ; @.20 = "icosagon 20"
@.10 = 'decagon 10' ; @.21 = "hectogon 100"
@.11 = 'hendecagon 11' ; @.22 = "chiliagon 1000"
@.23 = "myriagon 10000"
do #=1 while @.#\==''; end /*find how many elements in @ */
#= #-1; w= length(#); return /*adjust # because of DO loop.*/
/*──────────────────────────────────────────────────────────────────────────────────────*/
show: do k=1 for #; say right('element',15) right(k,w) arg(1)":" @.k; end; return |
http://rosettacode.org/wiki/Sorting_algorithms/Bogosort | Sorting algorithms/Bogosort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Bogosort a list of numbers.
Bogosort simply shuffles a collection randomly until it is sorted.
"Bogosort" is a perversely inefficient algorithm only used as an in-joke.
Its average run-time is O(n!) because the chance that any given shuffle of a set will end up in sorted order is about one in n factorial, and the worst case is infinite since there's no guarantee that a random shuffling will ever produce a sorted sequence.
Its best case is O(n) since a single pass through the elements may suffice to order them.
Pseudocode:
while not InOrder(list) do
Shuffle(list)
done
The Knuth shuffle may be used to implement the shuffle part of this algorithm.
| #PicoLisp | PicoLisp | (de bogosort (Lst)
(loop
(map
'((L) (rot L (rand 1 (length L))))
Lst )
(T (apply <= Lst) Lst) ) ) |
http://rosettacode.org/wiki/Sorting_algorithms/Bogosort | Sorting algorithms/Bogosort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Bogosort a list of numbers.
Bogosort simply shuffles a collection randomly until it is sorted.
"Bogosort" is a perversely inefficient algorithm only used as an in-joke.
Its average run-time is O(n!) because the chance that any given shuffle of a set will end up in sorted order is about one in n factorial, and the worst case is infinite since there's no guarantee that a random shuffling will ever produce a sorted sequence.
Its best case is O(n) since a single pass through the elements may suffice to order them.
Pseudocode:
while not InOrder(list) do
Shuffle(list)
done
The Knuth shuffle may be used to implement the shuffle part of this algorithm.
| #PL.2FI | PL/I | *process source xref;
bogosort: Proc Options(main);
Dcl SYSPRINT Print;
Dcl (HBOUND,RANDOM,TIME) Builtin;
Dcl tim Pic'(9)9';
Dcl timms Pic'(3)9' def tim pos(7);
tim=time();
x=random(timms);
Dcl a(5) Dec Fixed(5,1) Init(-21,333,0,444.4,1);
Dcl (x,y,temp) Dec Fixed(5,1);
Dcl (n,bogo,j,u,v) Bin Fixed(31);
n=hbound(a);
Call tell('un-bogoed');
loop:
Do bogo=1 By 1;
Do j=1 To n-1;
jp=j+1;
x=a(j);
y=a(jp);
if y>=x Then
Iterate;
u=rand(1,n);
Do Until v^=u
v=rand(1,n);
End;
Temp=a(u);
a(u)=a(v);
a(v)=temp;
Iterate loop;
End;
Leave;
End;
Put Edit('number of bogo sorts performed =',bogo)(Skip,a,f(4));
call tell(' bogoed');
Return;
tell: Proc(txt);
Dcl txt Char(*);
Dcl t Bin Fixed(31);
Put Edit(txt)(skip,a);
Do t=1 to n;
Put Edit(a(t))(Skip,f(6,1));
End;
End;
rand: Proc(lo,hi) Returns(Bin Fixed(31));
Dcl (lo,hi,res) Bin Fixed(31);
Dcl r Bin Float(31);
r=random();
res=r*(hi-lo+1)+lo;
Return(res);
End;
End; |
http://rosettacode.org/wiki/Sorting_algorithms/Bubble_sort | Sorting algorithms/Bubble sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
A bubble sort is generally considered to be the simplest sorting algorithm.
A bubble sort is also known as a sinking sort.
Because of its simplicity and ease of visualization, it is often taught in introductory computer science courses.
Because of its abysmal O(n2) performance, it is not used often for large (or even medium-sized) datasets.
The bubble sort works by passing sequentially over a list, comparing each value to the one immediately after it. If the first value is greater than the second, their positions are switched. Over a number of passes, at most equal to the number of elements in the list, all of the values drift into their correct positions (large values "bubble" rapidly toward the end, pushing others down around them).
Because each pass finds the maximum item and puts it at the end, the portion of the list to be sorted can be reduced at each pass.
A boolean variable is used to track whether any changes have been made in the current pass; when a pass completes without changing anything, the algorithm exits.
This can be expressed in pseudo-code as follows (assuming 1-based indexing):
repeat
if itemCount <= 1
return
hasChanged := false
decrement itemCount
repeat with index from 1 to itemCount
if (item at index) > (item at (index + 1))
swap (item at index) with (item at (index + 1))
hasChanged := true
until hasChanged = false
Task
Sort an array of elements using the bubble sort algorithm. The elements must have a total order and the index of the array can be of any discrete type. For languages where this is not possible, sort an array of integers.
References
The article on Wikipedia.
Dance interpretation.
| #Dart | Dart | List<num> bubbleSort(List<num> list) {
var retList = new List<num>.from(list);
var tmp;
var swapped = false;
do {
swapped = false;
for(var i = 1; i < retList.length; i++) {
if(retList[i - 1] > retList[i]) {
tmp = retList[i - 1];
retList[i - 1] = retList[i];
retList[i] = tmp;
swapped = true;
}
}
} while(swapped);
return retList;
}
|
http://rosettacode.org/wiki/Sorting_algorithms/Gnome_sort | Sorting algorithms/Gnome sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Gnome sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Gnome sort is a sorting algorithm which is similar to Insertion sort, except that moving an element to its proper place is accomplished by a series of swaps, as in Bubble Sort.
The pseudocode for the algorithm is:
function gnomeSort(a[0..size-1])
i := 1
j := 2
while i < size do
if a[i-1] <= a[i] then
// for descending sort, use >= for comparison
i := j
j := j + 1
else
swap a[i-1] and a[i]
i := i - 1
if i = 0 then
i := j
j := j + 1
endif
endif
done
Task
Implement the Gnome sort in your language to sort an array (or list) of numbers.
| #Kotlin | Kotlin | // version 1.1.0
fun <T: Comparable<T>> gnomeSort(a: Array<T>, ascending: Boolean = true) {
var i = 1
var j = 2
while (i < a.size)
if (ascending && (a[i - 1] <= a[i]) ||
!ascending && (a[i - 1] >= a[i]))
i = j++
else {
val temp = a[i - 1]
a[i - 1] = a[i]
a[i--] = temp
if (i == 0) i = j++
}
}
fun main(args: Array<String>) {
val array = arrayOf(100, 2, 56, 200, -52, 3, 99, 33, 177, -199)
println("Original : ${array.asList()}")
gnomeSort(array)
println("Sorted (asc) : ${array.asList()}")
gnomeSort(array, false)
println("Sorted (desc) : ${array.asList()}")
} |
http://rosettacode.org/wiki/Sorting_algorithms/Bead_sort | Sorting algorithms/Bead sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Sort an array of positive integers using the Bead Sort Algorithm.
A bead sort is also known as a gravity sort.
Algorithm has O(S), where S is the sum of the integers in the input set: Each bead is moved individually.
This is the case when bead sort is implemented without a mechanism to assist in finding empty spaces below the beads, such as in software implementations.
| #PowerShell | PowerShell | Function BeadSort ( [Int64[]] $indata )
{
if( $indata.length -gt 1 )
{
$min = $indata[ 0 ]
$max = $indata[ 0 ]
for( $i = 1; $i -lt $indata.length; $i++ )
{
if( $indata[ $i ] -lt $min )
{
$min = $indata[ $i ]
}
if( $indata[ $i ] -gt $max ) {
$max = $indata[ $i ]
}
} #Find the min & max
$poles = New-Object 'UInt64[]' ( $max - $min + 1 )
$indata | ForEach-Object {
$min..$_ | ForEach-Object {
$poles[ $_ - $min ] += 1
}
} #Add Beads to the poles, already moved to the bottom
$min..( $max - 1 ) | ForEach-Object {
$i = $_ - $min
if( $poles[ $i ] -gt $poles[ $i + 1 ] )
{ #No special case needed for min, since there will always be at least 1 = min
( $poles[ $i ] )..( $poles[ $i + 1 ] + 1 ) | ForEach-Object {
Write-Output ( $i + $min )
}
}
} #Output the results in pipeline fashion
1..( $poles[ $max - $min ] ) | ForEach-Object {
Write-Output $max #No special case needed for max, since there will always be at least 1 = max
}
} else {
Write-Output $indata
}
}
$l = 100; BeadSort ( 1..$l | ForEach-Object { $Rand = New-Object Random }{ $Rand.Next( -( $l - 1 ), $l - 1 ) } ) |
http://rosettacode.org/wiki/Sorting_algorithms/Cocktail_sort | Sorting algorithms/Cocktail sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Cocktail sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
The cocktail shaker sort is an improvement on the Bubble Sort.
The improvement is basically that values "bubble" both directions through the array, because on each iteration the cocktail shaker sort bubble sorts once forwards and once backwards. Pseudocode for the algorithm (from wikipedia):
function cocktailSort( A : list of sortable items )
do
swapped := false
for each i in 0 to length( A ) - 2 do
if A[ i ] > A[ i+1 ] then // test whether the two
// elements are in the wrong
// order
swap( A[ i ], A[ i+1 ] ) // let the two elements
// change places
swapped := true;
if swapped = false then
// we can exit the outer loop here if no swaps occurred.
break do-while loop;
swapped := false
for each i in length( A ) - 2 down to 0 do
if A[ i ] > A[ i+1 ] then
swap( A[ i ], A[ i+1 ] )
swapped := true;
while swapped; // if no elements have been swapped,
// then the list is sorted
Related task
cocktail sort with shifting bounds
| #J | J | bigToLeft=: (([ (>. , <.) {.@]) , }.@])/
smallToLeft=: (([ (<. , >.) {.@]) , }.@])/
cocktailSort=: |. @: (|. @: smallToLeft @: |. @: bigToLeft ^:_) |
http://rosettacode.org/wiki/Solve_a_Hopido_puzzle | Solve a Hopido puzzle | Hopido puzzles are similar to Hidato. The most important difference is that the only moves allowed are: hop over one tile diagonally; and over two tiles horizontally and vertically. It should be possible to start anywhere in the path, the end point isn't indicated and there are no intermediate clues. Hopido Design Post Mortem contains the following:
"Big puzzles represented another problem. Up until quite late in the project our puzzle solver was painfully slow with most puzzles above 7×7 tiles. Testing the solution from each starting point could take hours. If the tile layout was changed even a little, the whole puzzle had to be tested again. We were just about to give up the biggest puzzles entirely when our programmer suddenly came up with a magical algorithm that cut the testing process down to only minutes. Hooray!"
Knowing the kindness in the heart of every contributor to Rosetta Code, I know that we shall feel that as an act of humanity we must solve these puzzles for them in let's say milliseconds.
Example:
. 0 0 . 0 0 .
0 0 0 0 0 0 0
0 0 0 0 0 0 0
. 0 0 0 0 0 .
. . 0 0 0 . .
. . . 0 . . .
Extra credits are available for other interesting designs.
Related tasks
A* search algorithm
Solve a Holy Knight's tour
Knight's tour
N-queens problem
Solve a Hidato puzzle
Solve a Holy Knight's tour
Solve a Numbrix puzzle
Solve the no connection puzzle
| #AutoHotkey | AutoHotkey | SolveHopido(Grid, Locked, Max, row, col, num:=1, R:="", C:=""){
if (R&&C) ; if neighbors (not first iteration)
{
Grid[R, C] := ">" num ; place num in current neighbor and mark it visited ">"
row:=R, col:=C ; move to current neighbor
}
num++ ; increment num
if (num=max) ; if reached end
return map(Grid) ; return solution
if locked[num] ; if current num is a locked value
{
row := StrSplit((StrSplit(locked[num], ",").1) , ":").1 ; find row of num
col := StrSplit((StrSplit(locked[num], ",").1) , ":").2 ; find col of num
if SolveHopido(Grid, Locked, Max, row, col, num) ; solve for current location and value
return map(Grid) ; if solved, return solution
}
else
{
for each, value in StrSplit(Neighbor(row,col), ",")
{
R := StrSplit(value, ":").1
C := StrSplit(value, ":").2
if (Grid[R,C] = "") ; a hole or out of bounds
|| InStr(Grid[R, C], ">") ; visited
|| Locked[num+1] && !(Locked[num+1]~= "\b" R ":" C "\b") ; not neighbor of locked[num+1]
|| Locked[num-1] && !(Locked[num-1]~= "\b" R ":" C "\b") ; not neighbor of locked[num-1]
|| Locked[num] ; locked value
|| Locked[Grid[R, C]] ; locked cell
continue
if SolveHopido(Grid, Locked, Max, row, col, num, R, C) ; solve for current location, neighbor and value
return map(Grid) ; if solved, return solution
}
}
num-- ; step back
for i, line in Grid
for j, element in line
if InStr(element, ">") && (StrReplace(element, ">") >= num)
Grid[i, j] := 0
}
;--------------------------------
;--------------------------------
;--------------------------------
Neighbor(row,col){
return Trim( ""
. "," row ":" col-3
. "," row ":" col+3
. "," row-3 ":" col
. "," row+3 ":" col
. "," row+2 ":" col+2
. "," row+2 ":" col-2
. "," row-2 ":" col+2
. "," row-2 ":" col-2
, ",")
}
;--------------------------------
map(Grid){
for i, row in Grid
{
for j, element in row
line .= (A_Index > 1 ? "`t" : "") element
map .= (map<>""?"`n":"") line
line := ""
}
return StrReplace(map, ">")
} |
http://rosettacode.org/wiki/Sort_an_array_of_composite_structures | Sort an array of composite structures |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Sort an array of composite structures by a key.
For example, if you define a composite structure that presents a name-value pair (in pseudo-code):
Define structure pair such that:
name as a string
value as a string
and an array of such pairs:
x: array of pairs
then define a sort routine that sorts the array x by the key name.
This task can always be accomplished with Sorting Using a Custom Comparator.
If your language is not listed here, please see the other article.
| #ALGOL_68 | ALGOL 68 | MODE SORTSTRUCT = PERSON;
OP < = (PERSON a,b)BOOL: age OF a < age OF b;
PR READ "prelude/sort.a68" PR;
MODE PERSON = STRUCT (STRING name, INT age);
FORMAT person repr = $"Name: "g", Age: "g(0)l$;
[]SORTSTRUCT person = (("joe", 120), ("foo", 31), ("bar", 51));
printf((person repr, shell sort(person), $l$)) |
http://rosettacode.org/wiki/Sorting_algorithms/Counting_sort | Sorting algorithms/Counting sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Counting sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Task
Implement the Counting sort. This is a way of sorting integers when the minimum and maximum value are known.
Pseudocode
function countingSort(array, min, max):
count: array of (max - min + 1) elements
initialize count with 0
for each number in array do
count[number - min] := count[number - min] + 1
done
z := 0
for i from min to max do
while ( count[i - min] > 0 ) do
array[z] := i
z := z+1
count[i - min] := count[i - min] - 1
done
done
The min and max can be computed apart, or be known a priori.
Note: we know that, given an array of integers, its maximum and minimum values can be always found; but if we imagine the worst case for an array that can hold up to 32 bit integers, we see that in order to hold the counts, an array of up to 232 elements may be needed. I.E.: we need to hold a count value up to 232-1, which is a little over 4.2 Gbytes. So the counting sort is more practical when the range is (very) limited, and minimum and maximum values are known a priori. (However, as a counterexample, the use of sparse arrays minimizes the impact of the memory usage, as well as removing the need of having to know the minimum and maximum values a priori.)
| #PureBasic | PureBasic | Procedure Counting_sort(Array data_array(1), min, max)
Define i, j
Dim c(max - min)
For i = 0 To ArraySize(data_array())
c(data_array(i) - min) + 1
Next
For i = 0 To ArraySize(c())
While c(i)
data_array(j) = i + min
j + 1
c(i) - 1
Wend
Next
EndProcedure |
http://rosettacode.org/wiki/Solve_the_no_connection_puzzle | Solve the no connection puzzle | You are given a box with eight holes labelled A-to-H, connected by fifteen straight lines in the pattern as shown below:
A B
/│\ /│\
/ │ X │ \
/ │/ \│ \
C───D───E───F
\ │\ /│ /
\ │ X │ /
\│/ \│/
G H
You are also given eight pegs numbered 1-to-8.
Objective
Place the eight pegs in the holes so that the (absolute) difference between any two numbers connected by any line is greater than one.
Example
In this attempt:
4 7
/│\ /│\
/ │ X │ \
/ │/ \│ \
8───1───6───2
\ │\ /│ /
\ │ X │ /
\│/ \│/
3 5
Note that 7 and 6 are connected and have a difference of 1, so it is not a solution.
Task
Produce and show here one solution to the puzzle.
Related tasks
A* search algorithm
Solve a Holy Knight's tour
Knight's tour
N-queens problem
Solve a Hidato puzzle
Solve a Holy Knight's tour
Solve a Hopido puzzle
Solve a Numbrix puzzle
4-rings or 4-squares puzzle
See also
No Connection Puzzle (youtube).
| #11l | 11l | V connections = [(0, 2), (0, 3), (0, 4),
(1, 3), (1, 4), (1, 5),
(6, 2), (6, 3), (6, 4),
(7, 3), (7, 4), (7, 5),
(2, 3), (3, 4), (4, 5)]
F ok(conn, perm)
R abs(perm[conn[0]] - perm[conn[1]]) != 1
F solve()
[[Int]] r
V perm = Array(1..8)
L
I all(:connections.map(conn -> ok(conn, @perm)))
r [+]= copy(perm)
I !perm.next_permutation()
L.break
R r
V solutions = solve()
print(‘A, B, C, D, E, F, G, H = ’solutions[0].join(‘, ’)) |
http://rosettacode.org/wiki/Solve_a_Numbrix_puzzle | Solve a Numbrix puzzle | Numbrix puzzles are similar to Hidato.
The most important difference is that it is only possible to move 1 node left, right, up, or down (sometimes referred to as the Von Neumann neighborhood).
Published puzzles also tend not to have holes in the grid and may not always indicate the end node.
Two examples follow:
Example 1
Problem.
0 0 0 0 0 0 0 0 0
0 0 46 45 0 55 74 0 0
0 38 0 0 43 0 0 78 0
0 35 0 0 0 0 0 71 0
0 0 33 0 0 0 59 0 0
0 17 0 0 0 0 0 67 0
0 18 0 0 11 0 0 64 0
0 0 24 21 0 1 2 0 0
0 0 0 0 0 0 0 0 0
Solution.
49 50 51 52 53 54 75 76 81
48 47 46 45 44 55 74 77 80
37 38 39 40 43 56 73 78 79
36 35 34 41 42 57 72 71 70
31 32 33 14 13 58 59 68 69
30 17 16 15 12 61 60 67 66
29 18 19 20 11 62 63 64 65
28 25 24 21 10 1 2 3 4
27 26 23 22 9 8 7 6 5
Example 2
Problem.
0 0 0 0 0 0 0 0 0
0 11 12 15 18 21 62 61 0
0 6 0 0 0 0 0 60 0
0 33 0 0 0 0 0 57 0
0 32 0 0 0 0 0 56 0
0 37 0 1 0 0 0 73 0
0 38 0 0 0 0 0 72 0
0 43 44 47 48 51 76 77 0
0 0 0 0 0 0 0 0 0
Solution.
9 10 13 14 19 20 63 64 65
8 11 12 15 18 21 62 61 66
7 6 5 16 17 22 59 60 67
34 33 4 3 24 23 58 57 68
35 32 31 2 25 54 55 56 69
36 37 30 1 26 53 74 73 70
39 38 29 28 27 52 75 72 71
40 43 44 47 48 51 76 77 78
41 42 45 46 49 50 81 80 79
Task
Write a program to solve puzzles of this ilk,
demonstrating your program by solving the above examples.
Extra credit for other interesting examples.
Related tasks
A* search algorithm
Solve a Holy Knight's tour
Knight's tour
N-queens problem
Solve a Hidato puzzle
Solve a Holy Knight's tour
Solve a Hopido puzzle
Solve the no connection puzzle
| #D | D | import std.stdio, std.conv, std.string, std.range, std.array, std.typecons, std.algorithm;
struct {
alias BitSet8 = ubyte; // A set of 8 bits.
alias Cell = uint;
enum : string { unavailableInCell = "#", availableInCell = "." }
enum : Cell { unavailableCell = Cell.max, availableCell = 0 }
this(in string inPuzzle) pure @safe {
const rawPuzzle = inPuzzle.splitLines.map!(row => row.split).array;
assert(!rawPuzzle.empty);
assert(!rawPuzzle[0].empty);
assert(rawPuzzle.all!(row => row.length == rawPuzzle[0].length)); // Is rectangular.
gridWidth = rawPuzzle[0].length;
gridHeight = rawPuzzle.length;
immutable nMaxCells = gridWidth * gridHeight;
grid = new Cell[nMaxCells];
auto knownMutable = new bool[nMaxCells + 1];
uint nAvailableMutable = nMaxCells;
bool[Cell] seenCells; // To avoid duplicate input numbers.
uint i = 0;
foreach (const piece; rawPuzzle.join) {
if (piece == unavailableInCell) {
nAvailableMutable--;
grid[i++] = unavailableCell;
continue;
} else if (piece == availableInCell) {
grid[i] = availableCell;
} else {
immutable cell = piece.to!Cell;
assert(cell > 0 && cell <= nMaxCells);
assert(cell !in seenCells);
seenCells[cell] = true;
knownMutable[cell] = true;
grid[i] = cell;
}
i++;
}
known = knownMutable.idup;
nAvailable = nAvailableMutable;
}
@disable this();
auto solve() pure nothrow @safe @nogc
out(result) {
if (!result.isNull) {
// Can't verify 'result' here because it's const.
// assert(!result.get.join.canFind(availableCell.text));
assert(!grid.canFind(availableCell));
auto values = grid.filter!(c => c != unavailableCell);
auto interval = iota(reduce!min(values.front, values.dropOne),
reduce!max(values.front, values.dropOne) + 1);
assert(values.walkLength == interval.length);
assert(interval.all!(c => values.count(c) == 1)); // Quadratic.
}
} body {
auto result = grid
.map!(c => (c == unavailableCell) ? unavailableInCell : c.text)
.chunks(gridWidth);
alias OutRange = Nullable!(typeof(result));
const start = findStart;
if (start.isNull)
return OutRange();
search(start.r, start.c, start.cell + 1, 1);
if (start.cell > 1) {
immutable direction = -1;
search(start.r, start.c, start.cell + direction, direction);
}
if (grid.any!(c => c == availableCell))
return OutRange();
else
return OutRange(result);
}
private:
bool search(in uint r, in uint c, in Cell cell, in int direction)
pure nothrow @safe @nogc {
if ((cell > nAvailable && direction > 0) || (cell == 0 && direction < 0) ||
(cell == nAvailable && known[cell]))
return true; // One solution found.
immutable neighbors = getNeighbors(r, c);
if (known[cell]) {
foreach (immutable i, immutable rc; shifts) {
if (neighbors & (1u << i)) {
immutable c2 = c + rc[0],
r2 = r + rc[1];
if (grid[r2 * gridWidth + c2] == cell)
if (search(r2, c2, cell + direction, direction))
return true;
}
}
return false;
}
foreach (immutable i, immutable rc; shifts) {
if (neighbors & (1u << i)) {
immutable c2 = c + rc[0],
r2 = r + rc[1],
pos = r2 * gridWidth + c2;
if (grid[pos] == availableCell) {
grid[pos] = cell; // Try.
if (search(r2, c2, cell + direction, direction))
return true;
grid[pos] = availableCell; // Restore.
}
}
}
return false;
}
BitSet8 getNeighbors(in uint r, in uint c) const pure nothrow @safe @nogc {
typeof(return) usable = 0;
foreach (immutable i, immutable rc; shifts) {
immutable c2 = c + rc[0],
r2 = r + rc[1];
if (c2 >= gridWidth || r2 >= gridHeight)
continue;
if (grid[r2 * gridWidth + c2] != unavailableCell)
usable |= (1u << i);
}
return usable;
}
auto findStart() const pure nothrow @safe @nogc {
alias Triple = Tuple!(uint,"r", uint,"c", Cell,"cell");
Nullable!Triple result;
auto cell = Cell.max;
foreach (immutable r; 0 .. gridHeight) {
foreach (immutable c; 0 .. gridWidth) {
immutable pos = gridWidth * r + c;
if (grid[pos] != availableCell &&
grid[pos] != unavailableCell && grid[pos] < cell) {
cell = grid[pos];
result = Triple(r, c, cell);
}
}
}
return result;
}
static immutable int[2][4] shifts = [[0, -1], [0, 1], [-1, 0], [1, 0]];
immutable uint gridWidth, gridHeight;
immutable int nAvailable;
immutable bool[] known; // Given known cells of the puzzle.
Cell[] grid; // Flattened mutable game grid.
}
void main() {
// enum NumbrixPuzzle to catch malformed puzzles at compile-time.
enum puzzle1 = ". . . . . . . . .
. . 46 45 . 55 74 . .
. 38 . . 43 . . 78 .
. 35 . . . . . 71 .
. . 33 . . . 59 . .
. 17 . . . . . 67 .
. 18 . . 11 . . 64 .
. . 24 21 . 1 2 . .
. . . . . . . . .".NumbrixPuzzle;
enum puzzle2 = ". . . . . . . . .
. 11 12 15 18 21 62 61 .
. 6 . . . . . 60 .
. 33 . . . . . 57 .
. 32 . . . . . 56 .
. 37 . 1 . . . 73 .
. 38 . . . . . 72 .
. 43 44 47 48 51 76 77 .
. . . . . . . . .".NumbrixPuzzle;
enum puzzle3 = "17 . . . 11 . . . 59
. 15 . . 6 . . 61 .
. . 3 . . . 63 . .
. . . . 66 . . . .
23 24 . 68 67 78 . 54 55
. . . . 72 . . . .
. . 35 . . . 49 . .
. 29 . . 40 . . 47 .
31 . . . 39 . . . 45".NumbrixPuzzle;
foreach (puzzle; [puzzle1, puzzle2, puzzle3]) {
auto solution = puzzle.solve; // Solved at run-time.
if (solution.isNull)
writeln("No solution found for puzzle.\n");
else
writefln("One solution:\n%(%-(%2s %)\n%)\n", solution);
}
} |
http://rosettacode.org/wiki/Sort_an_integer_array | Sort an integer array |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Sort an array (or list) of integers in ascending numerical order.
Use a sorting facility provided by the language/library if possible.
| #Axe | Axe | 2→{L₁}
4→{L₁+1}
3→{L₁+2}
1→{L₁+3}
2→{L₁+4}
SortD(L₁,5) |
http://rosettacode.org/wiki/Sort_an_integer_array | Sort an integer array |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Sort an array (or list) of integers in ascending numerical order.
Use a sorting facility provided by the language/library if possible.
| #Babel | Babel | babel> nil { zap {1 randlf 100 rem} 20 times collect ! } nest dup lsnum ! --> Create a list of random numbers
( 20 47 69 71 18 10 92 9 56 68 71 92 45 92 12 7 59 55 54 24 )
babel> ls2lf --> Convert list to array for sorting
babel> dup {fnord} merge_sort --> The internal sort operator
babel> ar2ls lsnum ! --> Display the results
( 7 9 10 12 18 20 24 45 47 54 55 56 59 68 69 71 71 92 92 92 ) |
http://rosettacode.org/wiki/Sort_a_list_of_object_identifiers | Sort a list of object identifiers |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Object identifiers (OID)
Task
Show how to sort a list of OIDs, in their natural sort order.
Details
An OID consists of one or more non-negative integers in base 10, separated by dots. It starts and ends with a number.
Their natural sort order is lexicographical with regard to the dot-separated fields, using numeric comparison between fields.
Test case
Input (list of strings)
Output (list of strings)
1.3.6.1.4.1.11.2.17.19.3.4.0.10
1.3.6.1.4.1.11.2.17.5.2.0.79
1.3.6.1.4.1.11.2.17.19.3.4.0.4
1.3.6.1.4.1.11150.3.4.0.1
1.3.6.1.4.1.11.2.17.19.3.4.0.1
1.3.6.1.4.1.11150.3.4.0
1.3.6.1.4.1.11.2.17.5.2.0.79
1.3.6.1.4.1.11.2.17.19.3.4.0.1
1.3.6.1.4.1.11.2.17.19.3.4.0.4
1.3.6.1.4.1.11.2.17.19.3.4.0.10
1.3.6.1.4.1.11150.3.4.0
1.3.6.1.4.1.11150.3.4.0.1
Related tasks
Natural sorting
Sort using a custom comparator
| #C.2B.2B | C++ | #include <string>
#include <vector>
#include <algorithm>
#include <boost/tokenizer.hpp>
#include <iostream>
std::vector<std::string> splitOnChar ( std::string & s , const char c ) {
typedef boost::tokenizer<boost::char_separator<char>> tokenizer ;
std::vector<std::string> parts ;
boost::char_separator<char> sep( &c ) ;
tokenizer tokens( s , sep ) ;
for ( auto it = tokens.begin( ) ; it != tokens.end( ) ; it++ )
parts.push_back( *it ) ;
return parts ;
}
bool myCompare ( const std::string & s1 , const std::string & s2 ) {
std::string firstcopy( s1 ) ;
std::string secondcopy ( s2 ) ;
std::vector<std::string> firstparts( splitOnChar ( firstcopy, '.' ) ) ;
std::vector<std::string> secondparts( splitOnChar ( secondcopy, '.' ) ) ;
std::vector<int> numbers1( firstparts.size( ) ) ;
std::vector<int> numbers2( secondparts.size( ) ) ;
std::transform( firstparts.begin( ) , firstparts.end( ) , numbers1.begin( ) ,
[]( std::string st ) { return std::stoi( st , nullptr ) ; } ) ;
std::transform( secondparts.begin( ) , secondparts.end( ) , numbers2.begin( ) ,
[]( std::string st ) { return std::stoi( st , nullptr ) ; } ) ;
auto it1 = numbers1.begin( ) ;
auto it2 = numbers2.begin( ) ;
while ( *it1 == *it2 ) {
it1++ ;
it2++ ;
}
if ( it1 == numbers1.end( ) || it2 == numbers2.end( ) )
return std::lexicographical_compare( s1.begin( ) , s1.end( ) , s2.begin( ) , s2.end( ) ) ;
return *it1 < *it2 ;
}
int main( ) {
std::vector<std::string> arrayOID { "1.3.6.1.4.1.11.2.17.19.3.4.0.10" ,
"1.3.6.1.4.1.11.2.17.5.2.0.79" ,
"1.3.6.1.4.1.11.2.17.19.3.4.0.4" ,
"1.3.6.1.4.1.11150.3.4.0.1" ,
"1.3.6.1.4.1.11.2.17.19.3.4.0.1" ,
"1.3.6.1.4.1.11150.3.4.0" } ;
std::sort( arrayOID.begin( ) , arrayOID.end( ) , myCompare ) ;
for ( std::string s : arrayOID )
std::cout << s << '\n' ;
return 0 ;
} |
http://rosettacode.org/wiki/Sort_disjoint_sublist | Sort disjoint sublist |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Given a list of values and a set of integer indices into that value list, the task is to sort the values at the given indices, while preserving the values at indices outside the set of those to be sorted.
Make your example work with the following list of values and set of indices:
Values: [7, 6, 5, 4, 3, 2, 1, 0]
Indices: {6, 1, 7}
Where the correct result would be:
[7, 0, 5, 4, 3, 2, 1, 6].
In case of one-based indexing, rather than the zero-based indexing above, you would use the indices {7, 2, 8} instead.
The indices are described as a set rather than a list but any collection-type of those indices without duplication may be used as long as the example is insensitive to the order of indices given.
Cf.
Order disjoint list items
| #EchoLisp | EchoLisp |
(define (sort-disjoint values indices)
(define sorted (list-sort <
(for/list [(v values) (i (in-naturals))]
#:when (member i indices) v)))
(for/list [(v values) (i (in-naturals))]
(if (not (member i indices)) v
(begin0
(first sorted)
(set! sorted (rest sorted))))))
(define (task)
(sort-disjoint '[7 6 5 4 3 2 1 0] {6 1 7}))
(task)
→ (7 0 5 4 3 2 1 6)
|
http://rosettacode.org/wiki/Sort_stability | Sort stability |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
When sorting records in a table by a particular column or field, a stable sort will always retain the relative order of records that have the same key.
Example
In this table of countries and cities, a stable sort on the second column, the cities, would keep the US Birmingham above the UK Birmingham.
(Although an unstable sort might, in this case, place the US Birmingham above the UK Birmingham, a stable sort routine would guarantee it).
UK London
US New York
US Birmingham
UK Birmingham
Similarly, stable sorting on just the first column would generate UK London as the first item and US Birmingham as the last item (since the order of the elements having the same first word – UK or US – would be maintained).
Task
Examine the documentation on any in-built sort routines supplied by a language.
Indicate if an in-built routine is supplied
If supplied, indicate whether or not the in-built routine is stable.
(This Wikipedia table shows the stability of some common sort routines).
| #MATLAB | MATLAB | /* NetRexx */
options replace format comments java crossref savelog symbols nobinary
class RCSortStability
method main(args = String[]) public constant
cityList = [String "UK London", "US New York", "US Birmingham", "UK Birmingham"]
cn = String[cityList.length]
say
say "Before sort:"
System.arraycopy(cityList, 0, cn, 0, cityList.length)
loop city = 0 to cn.length - 1
say cn[city]
end city
cCompNm = Comparator CityComparator()
Arrays.sort(cn, cCompNm)
say
say "After sort on city:"
loop city = 0 to cn.length - 1
say cn[city]
end city
say
say "Before sort:"
System.arraycopy(cityList, 0, cn, 0, cityList.length)
loop city = 0 to cn.length - 1
say cn[city]
end city
cCompCtry = Comparator CountryComparator()
Arrays.sort(cn, cCompCtry)
say
say "After sort on country:"
loop city = 0 to cn.length - 1
say cn[city]
end city
say
return
class RCSortStability.CityComparator implements Comparator
method compare(lft = Object, rgt = Object) public binary returns int
return (String lft).substring(4).compareTo((String rgt).substring(4))
class RCSortStability.CountryComparator implements Comparator
method compare(lft = Object, rgt = Object) public binary returns int
return (String lft).substring(0, 2).compareTo((String rgt).substring(0, 2))
|
http://rosettacode.org/wiki/Sort_stability | Sort stability |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
When sorting records in a table by a particular column or field, a stable sort will always retain the relative order of records that have the same key.
Example
In this table of countries and cities, a stable sort on the second column, the cities, would keep the US Birmingham above the UK Birmingham.
(Although an unstable sort might, in this case, place the US Birmingham above the UK Birmingham, a stable sort routine would guarantee it).
UK London
US New York
US Birmingham
UK Birmingham
Similarly, stable sorting on just the first column would generate UK London as the first item and US Birmingham as the last item (since the order of the elements having the same first word – UK or US – would be maintained).
Task
Examine the documentation on any in-built sort routines supplied by a language.
Indicate if an in-built routine is supplied
If supplied, indicate whether or not the in-built routine is stable.
(This Wikipedia table shows the stability of some common sort routines).
| #NetRexx | NetRexx | /* NetRexx */
options replace format comments java crossref savelog symbols nobinary
class RCSortStability
method main(args = String[]) public constant
cityList = [String "UK London", "US New York", "US Birmingham", "UK Birmingham"]
cn = String[cityList.length]
say
say "Before sort:"
System.arraycopy(cityList, 0, cn, 0, cityList.length)
loop city = 0 to cn.length - 1
say cn[city]
end city
cCompNm = Comparator CityComparator()
Arrays.sort(cn, cCompNm)
say
say "After sort on city:"
loop city = 0 to cn.length - 1
say cn[city]
end city
say
say "Before sort:"
System.arraycopy(cityList, 0, cn, 0, cityList.length)
loop city = 0 to cn.length - 1
say cn[city]
end city
cCompCtry = Comparator CountryComparator()
Arrays.sort(cn, cCompCtry)
say
say "After sort on country:"
loop city = 0 to cn.length - 1
say cn[city]
end city
say
return
class RCSortStability.CityComparator implements Comparator
method compare(lft = Object, rgt = Object) public binary returns int
return (String lft).substring(4).compareTo((String rgt).substring(4))
class RCSortStability.CountryComparator implements Comparator
method compare(lft = Object, rgt = Object) public binary returns int
return (String lft).substring(0, 2).compareTo((String rgt).substring(0, 2))
|
http://rosettacode.org/wiki/Sort_numbers_lexicographically | Sort numbers lexicographically |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Given an integer n, return 1──►n (inclusive) in lexicographical order.
Show all output here on this page.
Example
Given 13,
return: [1,10,11,12,13,2,3,4,5,6,7,8,9].
| #VBA | VBA | Public Function sortlexicographically(N As Integer)
Dim arrList As Object
Set arrList = CreateObject("System.Collections.ArrayList")
For i = 1 To N
arrList.Add CStr(i)
Next i
arrList.Sort
Dim item As Variant
For Each item In arrList
Debug.Print item & ", ";
Next
End Function
Public Sub main()
Call sortlexicographically(13)
End Sub |
http://rosettacode.org/wiki/Sort_numbers_lexicographically | Sort numbers lexicographically |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Given an integer n, return 1──►n (inclusive) in lexicographical order.
Show all output here on this page.
Example
Given 13,
return: [1,10,11,12,13,2,3,4,5,6,7,8,9].
| #Wren | Wren | import "/sort" for Sort
var a = (1..13).map { |i| "%(i)" }.toList
Sort.quick(a)
System.print(a) |
http://rosettacode.org/wiki/Sort_numbers_lexicographically | Sort numbers lexicographically |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Given an integer n, return 1──►n (inclusive) in lexicographical order.
Show all output here on this page.
Example
Given 13,
return: [1,10,11,12,13,2,3,4,5,6,7,8,9].
| #zkl | zkl | fcn lexN(n){ n.pump(List,'+(1),"toString").sort().apply("toInt") } |
http://rosettacode.org/wiki/Sort_three_variables | Sort three variables |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Sort (the values of) three variables (X, Y, and Z) that contain any value (numbers and/or literals).
If that isn't possible in your language, then just sort numbers (and note if they can be floating point, integer, or other).
I.E.: (for the three variables x, y, and z), where:
x = 'lions, tigers, and'
y = 'bears, oh my!'
z = '(from the "Wizard of OZ")'
After sorting, the three variables would hold:
x = '(from the "Wizard of OZ")'
y = 'bears, oh my!'
z = 'lions, tigers, and'
For numeric value sorting, use:
I.E.: (for the three variables x, y, and z), where:
x = 77444
y = -12
z = 0
After sorting, the three variables would hold:
x = -12
y = 0
z = 77444
The variables should contain some form of a number, but specify if the algorithm
used can be for floating point or integers. Note any limitations.
The values may or may not be unique.
The method used for sorting can be any algorithm; the goal is to use the most idiomatic in the computer programming language used.
More than one algorithm could be shown if one isn't clearly the better choice.
One algorithm could be:
• store the three variables x, y, and z
into an array (or a list) A
• sort (the three elements of) the array A
• extract the three elements from the array and place them in the
variables x, y, and z in order of extraction
Another algorithm (only for numeric values):
x= 77444
y= -12
z= 0
low= x
mid= y
high= z
x= min(low, mid, high) /*determine the lowest value of X,Y,Z. */
z= max(low, mid, high) /* " " highest " " " " " */
y= low + mid + high - x - z /* " " middle " " " " " */
Show the results of the sort here on this page using at least the values of those shown above.
| #Lua | Lua | function variadicSort (...)
local t = {}
for _, x in pairs{...} do
table.insert(t, x)
end
table.sort(t)
return unpack(t)
end
local testCases = {
{ x = 'lions, tigers, and',
y = 'bears, oh my!',
z = '(from the "Wizard of OZ")'
},
{ x = 77444,
y = -12,
z = 0
}
}
for i, case in ipairs(testCases) do
x, y, z = variadicSort(case.x, case.y, case.z)
print("\nCase " .. i)
print("\tx = " .. x)
print("\ty = " .. y)
print("\tz = " .. z)
end |
http://rosettacode.org/wiki/Sort_using_a_custom_comparator | Sort using a custom comparator |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Sort an array (or list) of strings in order of descending length, and in ascending lexicographic order for strings of equal length.
Use a sorting facility provided by the language/library, combined with your own callback comparison function.
Note: Lexicographic order is case-insensitive.
| #Go | Go | package main
import (
"fmt"
"sort"
"strings"
)
type sortable []string
func (s sortable) Len() int { return len(s) }
func (s sortable) Swap(i, j int) { s[i], s[j] = s[j], s[i] }
func (s sortable) Less(i, j int) bool {
a, b := s[i], s[j]
if len(a) != len(b) {
return len(a) > len(b)
}
return strings.ToLower(a) < strings.ToLower(b)
}
func main() {
var s sortable = strings.Fields("To tell your name the livelong day To an admiring bog")
fmt.Println(s, "(original)")
sort.Sort(s)
fmt.Println(s, "(sorted)")
} |
http://rosettacode.org/wiki/Sorting_algorithms/Comb_sort | Sorting algorithms/Comb sort | Sorting algorithms/Comb sort
You are encouraged to solve this task according to the task description, using any language you may know.
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Implement a comb sort.
The Comb Sort is a variant of the Bubble Sort.
Like the Shell sort, the Comb Sort increases the gap used in comparisons and exchanges.
Dividing the gap by
(
1
−
e
−
φ
)
−
1
≈
1.247330950103979
{\displaystyle (1-e^{-\varphi })^{-1}\approx 1.247330950103979}
works best, but 1.3 may be more practical.
Some implementations use the insertion sort once the gap is less than a certain amount.
Also see
the Wikipedia article: Comb sort.
Variants:
Combsort11 makes sure the gap ends in (11, 8, 6, 4, 3, 2, 1), which is significantly faster than the other two possible endings.
Combsort with different endings changes to a more efficient sort when the data is almost sorted (when the gap is small). Comb sort with a low gap isn't much better than the Bubble Sort.
Pseudocode:
function combsort(array input)
gap := input.size //initialize gap size
loop until gap = 1 and swaps = 0
//update the gap value for a next comb. Below is an example
gap := int(gap / 1.25)
if gap < 1
//minimum gap is 1
gap := 1
end if
i := 0
swaps := 0 //see Bubble Sort for an explanation
//a single "comb" over the input list
loop until i + gap >= input.size //see Shell sort for similar idea
if input[i] > input[i+gap]
swap(input[i], input[i+gap])
swaps := 1 // Flag a swap has occurred, so the
// list is not guaranteed sorted
end if
i := i + 1
end loop
end loop
end function
| #Ring | Ring |
aList = [3,5,1,2,7,4,8,3,6,4,1]
see combsort(aList)
func combsort t
gapd = 1.2473
gap = len(t)
swaps = 0
while gap + swaps > 1
k = 0
swaps = 0
if gap > 1 gap = floor(gap / gapd) ok
for k = 1 to len(t) - gap
if t[k] > t[k + gap]
temp = t[k]
t[k] = t[k + gap]
t[k + gap] = temp
swaps = swaps + 1 ok
next
end
return t
|
http://rosettacode.org/wiki/Sorting_algorithms/Bogosort | Sorting algorithms/Bogosort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Bogosort a list of numbers.
Bogosort simply shuffles a collection randomly until it is sorted.
"Bogosort" is a perversely inefficient algorithm only used as an in-joke.
Its average run-time is O(n!) because the chance that any given shuffle of a set will end up in sorted order is about one in n factorial, and the worst case is infinite since there's no guarantee that a random shuffling will ever produce a sorted sequence.
Its best case is O(n) since a single pass through the elements may suffice to order them.
Pseudocode:
while not InOrder(list) do
Shuffle(list)
done
The Knuth shuffle may be used to implement the shuffle part of this algorithm.
| #PowerShell | PowerShell | function shuffle ($a) {
$c = $a.Clone() # make copy to avoid clobbering $a
1..($c.Length - 1) | ForEach-Object {
$i = Get-Random -Minimum $_ -Maximum $c.Length
$c[$_-1],$c[$i] = $c[$i],$c[$_-1]
$c[$_-1] # return newly-shuffled value
}
$c[-1] # last value
}
function isSorted( [Array] $data )
{
$sorted = $true
for( $i = 1; ( $i -lt $data.length ) -and $sorted; $i++ )
{
$sorted = $data[ $i - 1 ] -le $data[ $i ]
}
$sorted
}
function BogoSort ( [Array] $indata ) {
$data = $indata.Clone()
while( -not ( isSorted $data ) ) {
$data = shuffle $indata
}
$data
}
$l = 7; BogoSort ( 1..$l | ForEach-Object { $Rand = New-Object Random }{ $Rand.Next( 0, $l - 1 ) } ) |
http://rosettacode.org/wiki/Sorting_algorithms/Bubble_sort | Sorting algorithms/Bubble sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
A bubble sort is generally considered to be the simplest sorting algorithm.
A bubble sort is also known as a sinking sort.
Because of its simplicity and ease of visualization, it is often taught in introductory computer science courses.
Because of its abysmal O(n2) performance, it is not used often for large (or even medium-sized) datasets.
The bubble sort works by passing sequentially over a list, comparing each value to the one immediately after it. If the first value is greater than the second, their positions are switched. Over a number of passes, at most equal to the number of elements in the list, all of the values drift into their correct positions (large values "bubble" rapidly toward the end, pushing others down around them).
Because each pass finds the maximum item and puts it at the end, the portion of the list to be sorted can be reduced at each pass.
A boolean variable is used to track whether any changes have been made in the current pass; when a pass completes without changing anything, the algorithm exits.
This can be expressed in pseudo-code as follows (assuming 1-based indexing):
repeat
if itemCount <= 1
return
hasChanged := false
decrement itemCount
repeat with index from 1 to itemCount
if (item at index) > (item at (index + 1))
swap (item at index) with (item at (index + 1))
hasChanged := true
until hasChanged = false
Task
Sort an array of elements using the bubble sort algorithm. The elements must have a total order and the index of the array can be of any discrete type. For languages where this is not possible, sort an array of integers.
References
The article on Wikipedia.
Dance interpretation.
| #Delphi | Delphi | program TestBubbleSort;
{$APPTYPE CONSOLE}
{.$DEFINE DYNARRAY} // remove '.' to compile with dynamic array
type
TItem = Integer; // declare ordinal type for array item
{$IFDEF DYNARRAY}
TArray = array of TItem; // dynamic array
{$ELSE}
TArray = array[0..15] of TItem; // static array
{$ENDIF}
procedure BubbleSort(var A: TArray);
var
Item: TItem;
K, L, J: Integer;
begin
L:= Low(A) + 1;
repeat
K:= High(A);
for J:= High(A) downto L do begin
if A[J - 1] > A[J] then begin
Item:= A[J - 1];
A[J - 1]:= A[J];
A[J]:= Item;
K:= J;
end;
end;
L:= K + 1;
until L > High(A);
end;
var
A: TArray;
I: Integer;
begin
{$IFDEF DYNARRAY}
SetLength(A, 16);
{$ENDIF}
for I:= Low(A) to High(A) do
A[I]:= Random(100);
for I:= Low(A) to High(A) do
Write(A[I]:3);
Writeln;
BubbleSort(A);
for I:= Low(A) to High(A) do
Write(A[I]:3);
Writeln;
Readln;
end. |
http://rosettacode.org/wiki/Sorting_algorithms/Gnome_sort | Sorting algorithms/Gnome sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Gnome sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Gnome sort is a sorting algorithm which is similar to Insertion sort, except that moving an element to its proper place is accomplished by a series of swaps, as in Bubble Sort.
The pseudocode for the algorithm is:
function gnomeSort(a[0..size-1])
i := 1
j := 2
while i < size do
if a[i-1] <= a[i] then
// for descending sort, use >= for comparison
i := j
j := j + 1
else
swap a[i-1] and a[i]
i := i - 1
if i = 0 then
i := j
j := j + 1
endif
endif
done
Task
Implement the Gnome sort in your language to sort an array (or list) of numbers.
| #Lua | Lua | function gnomeSort(a)
local i, j = 2, 3
while i <= #a do
if a[i-1] <= a[i] then
i = j
j = j + 1
else
a[i-1], a[i] = a[i], a[i-1] -- swap
i = i - 1
if i == 1 then -- 1 instead of 0
i = j
j = j + 1
end
end
end
end |
http://rosettacode.org/wiki/Sorting_algorithms/Bead_sort | Sorting algorithms/Bead sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Sort an array of positive integers using the Bead Sort Algorithm.
A bead sort is also known as a gravity sort.
Algorithm has O(S), where S is the sum of the integers in the input set: Each bead is moved individually.
This is the case when bead sort is implemented without a mechanism to assist in finding empty spaces below the beads, such as in software implementations.
| #PureBasic | PureBasic | #MAXNUM=100
Dim MyData(Random(15)+5)
Global Dim Abacus(0,0)
Declare BeadSort(Array InData(1))
Declare PresentData(Array InData(1))
If OpenConsole()
Define i
;- Generate a random array
For i=0 To ArraySize(MyData())
MyData(i)=Random(#MAXNUM)
Next i
PresentData(MyData())
;
;- Sort the array
BeadSort(MyData())
PresentData(MyData())
;
Print("Press ENTER to exit"): Input()
EndIf
Procedure LetFallDown(x)
Protected y=ArraySize(Abacus(),2)-1
Protected ylim=y
While y>=0
If Abacus(x,y) And Not Abacus(x,y+1)
Swap Abacus(x,y), Abacus(x,y+1)
If y<ylim: y+1: Continue: EndIf
Else
y-1
EndIf
Wend
EndProcedure
Procedure BeadSort(Array n(1))
Protected i, j, k
NewList T()
Dim Abacus(#MAXNUM,ArraySize(N()))
;- Set up the abacus
For i=0 To ArraySize(Abacus(),2)
For j=1 To N(i)
Abacus(j,i)=#True
Next
Next
;- sort it in threads to simulate free beads falling down
For i=0 To #MAXNUM
AddElement(T()): T()=CreateThread(@LetFallDown(),i)
Next
ForEach T()
WaitThread(T())
Next
;- send it back to a normal array
For j=0 To ArraySize(Abacus(),2)
k=0
For i=0 To ArraySize(Abacus())
k+Abacus(i,j)
Next
N(j)=k
Next
EndProcedure
Procedure PresentData(Array InData(1))
Protected n, m, sum
PrintN(#CRLF$+"The array is;")
For n=0 To ArraySize(InData())
m=InData(n): sum+m
Print(Str(m)+" ")
Next
PrintN(#CRLF$+"And its sum= "+Str(sum))
EndProcedure |
http://rosettacode.org/wiki/Sorting_algorithms/Cocktail_sort | Sorting algorithms/Cocktail sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Cocktail sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
The cocktail shaker sort is an improvement on the Bubble Sort.
The improvement is basically that values "bubble" both directions through the array, because on each iteration the cocktail shaker sort bubble sorts once forwards and once backwards. Pseudocode for the algorithm (from wikipedia):
function cocktailSort( A : list of sortable items )
do
swapped := false
for each i in 0 to length( A ) - 2 do
if A[ i ] > A[ i+1 ] then // test whether the two
// elements are in the wrong
// order
swap( A[ i ], A[ i+1 ] ) // let the two elements
// change places
swapped := true;
if swapped = false then
// we can exit the outer loop here if no swaps occurred.
break do-while loop;
swapped := false
for each i in length( A ) - 2 down to 0 do
if A[ i ] > A[ i+1 ] then
swap( A[ i ], A[ i+1 ] )
swapped := true;
while swapped; // if no elements have been swapped,
// then the list is sorted
Related task
cocktail sort with shifting bounds
| #Java | Java | public static void cocktailSort( int[] A ){
boolean swapped;
do {
swapped = false;
for (int i =0; i<= A.length - 2;i++) {
if (A[ i ] > A[ i + 1 ]) {
//test whether the two elements are in the wrong order
int temp = A[i];
A[i] = A[i+1];
A[i+1]=temp;
swapped = true;
}
}
if (!swapped) {
//we can exit the outer loop here if no swaps occurred.
break;
}
swapped = false;
for (int i= A.length - 2;i>=0;i--) {
if (A[ i ] > A[ i + 1 ]) {
int temp = A[i];
A[i] = A[i+1];
A[i+1]=temp;
swapped = true;
}
}
//if no elements have been swapped, then the list is sorted
} while (swapped);
} |
http://rosettacode.org/wiki/Solve_a_Holy_Knight%27s_tour | Solve a Holy Knight's tour |
Chess coaches have been known to inflict a kind of torture on beginners by taking a chess board, placing pennies on some squares and requiring that a Knight's tour be constructed that avoids the squares with pennies.
This kind of knight's tour puzzle is similar to Hidato.
The present task is to produce a solution to such problems. At least demonstrate your program by solving the following:
Example
0 0 0
0 0 0
0 0 0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
1 0 0 0 0 0 0
0 0 0
0 0 0
Note that the zeros represent the available squares, not the pennies.
Extra credit is available for other interesting examples.
Related tasks
A* search algorithm
Knight's tour
N-queens problem
Solve a Hidato puzzle
Solve a Hopido puzzle
Solve a Numbrix puzzle
Solve the no connection puzzle
| #11l | 11l | V moves = [
[-1, -2], [1, -2], [-1, 2], [1, 2],
[-2, -1], [-2, 1], [2, -1], [2, 1]
]
F solve(&pz, sz, sx, sy, idx, cnt)
I idx > cnt
R 1
L(i) 0 .< :moves.len
V x = sx + :moves[i][0]
V y = sy + :moves[i][1]
I sz > x & x > -1 & sz > y & y > -1 & pz[x][y] == 0
pz[x][y] = idx
I 1 == solve(&pz, sz, x, y, idx + 1, cnt)
R 1
pz[x][y] = 0
R 0
F find_solution(pz, sz)
V p = [[-1] * sz] * sz
V idx = 0
V x = 0
V y = 0
V cnt = 0
L(j) 0 .< sz
L(i) 0 .< sz
I pz[idx] == ‘x’
p[i][j] = 0
cnt++
E I pz[idx] == ‘s’
p[i][j] = 1
cnt++
x = i
y = j
idx++
I 1 == solve(&p, sz, x, y, 2, cnt)
L(j) 0 .< sz
L(i) 0 .< sz
I p[i][j] != -1
print(‘ #02’.format(p[i][j]), end' ‘’)
E
print(‘ ’, end' ‘’)
print()
E
print(‘Cannot solve this puzzle!’)
find_solution(‘.xxx.....x.xx....xxxxxxxxxx..x.xx.x..xxxsxxxxxx...xx.x.....xxx..’, 8)
print()
find_solution(‘.....s.x..........x.x.........xxxxx.........xxx.......x..x.x..x..xxxxx...xxxxx..xx.....xx..xxxxx...xxxxx..x..x.x..x.......xxx.........xxxxx.........x.x..........x.x.....’, 13) |
http://rosettacode.org/wiki/Solve_a_Hopido_puzzle | Solve a Hopido puzzle | Hopido puzzles are similar to Hidato. The most important difference is that the only moves allowed are: hop over one tile diagonally; and over two tiles horizontally and vertically. It should be possible to start anywhere in the path, the end point isn't indicated and there are no intermediate clues. Hopido Design Post Mortem contains the following:
"Big puzzles represented another problem. Up until quite late in the project our puzzle solver was painfully slow with most puzzles above 7×7 tiles. Testing the solution from each starting point could take hours. If the tile layout was changed even a little, the whole puzzle had to be tested again. We were just about to give up the biggest puzzles entirely when our programmer suddenly came up with a magical algorithm that cut the testing process down to only minutes. Hooray!"
Knowing the kindness in the heart of every contributor to Rosetta Code, I know that we shall feel that as an act of humanity we must solve these puzzles for them in let's say milliseconds.
Example:
. 0 0 . 0 0 .
0 0 0 0 0 0 0
0 0 0 0 0 0 0
. 0 0 0 0 0 .
. . 0 0 0 . .
. . . 0 . . .
Extra credits are available for other interesting designs.
Related tasks
A* search algorithm
Solve a Holy Knight's tour
Knight's tour
N-queens problem
Solve a Hidato puzzle
Solve a Holy Knight's tour
Solve a Numbrix puzzle
Solve the no connection puzzle
| #C.23 | C# | using System.Collections;
using System.Collections.Generic;
using static System.Console;
using static System.Math;
using static System.Linq.Enumerable;
public class Solver
{
private static readonly (int dx, int dy)[]
//other puzzle types elided
hopidoMoves = {(-3,0),(0,-3),(0,3),(3,0),(-2,-2),(-2,2),(2,-2),(2,2)},
private (int dx, int dy)[] moves;
public static void Main()
{
Print(new Solver(hopidoMoves).Solve(false,
".00.00.",
"0000000",
"0000000",
".00000.",
"..000..",
"...0..."
));
}
public Solver(params (int dx, int dy)[] moves) => this.moves = moves;
public int[,] Solve(bool circular, params string[] puzzle)
{
var (board, given, count) = Parse(puzzle);
return Solve(board, given, count, circular);
}
public int[,] Solve(bool circular, int[,] puzzle)
{
var (board, given, count) = Parse(puzzle);
return Solve(board, given, count, circular);
}
private int[,] Solve(int[,] board, BitArray given, int count, bool circular)
{
var (height, width) = (board.GetLength(0), board.GetLength(1));
bool solved = false;
for (int x = 0; x < height && !solved; x++) {
solved = Range(0, width).Any(y => Solve(board, given, circular, (height, width), (x, y), count, (x, y), 1));
if (solved) return board;
}
return null;
}
private bool Solve(int[,] board, BitArray given, bool circular,
(int h, int w) size, (int x, int y) start, int last, (int x, int y) current, int n)
{
var (x, y) = current;
if (x < 0 || x >= size.h || y < 0 || y >= size.w) return false;
if (board[x, y] < 0) return false;
if (given[n - 1]) {
if (board[x, y] != n) return false;
} else if (board[x, y] > 0) return false;
board[x, y] = n;
if (n == last) {
if (!circular || AreNeighbors(start, current)) return true;
}
for (int i = 0; i < moves.Length; i++) {
var move = moves[i];
if (Solve(board, given, circular, size, start, last, (x + move.dx, y + move.dy), n + 1)) return true;
}
if (!given[n - 1]) board[x, y] = 0;
return false;
bool AreNeighbors((int x, int y) p1, (int x, int y) p2) => moves.Any(m => (p2.x + m.dx, p2.y + m.dy).Equals(p1));
}
private static (int[,] board, BitArray given, int count) Parse(string[] input)
{
(int height, int width) = (input.Length, input[0].Length);
int[,] board = new int[height, width];
int count = 0;
for (int x = 0; x < height; x++) {
string line = input[x];
for (int y = 0; y < width; y++) {
board[x, y] = y < line.Length && char.IsDigit(line[y]) ? line[y] - '0' : -1;
if (board[x, y] >= 0) count++;
}
}
BitArray given = Scan(board, count, height, width);
return (board, given, count);
}
private static (int[,] board, BitArray given, int count) Parse(int[,] input)
{
(int height, int width) = (input.GetLength(0), input.GetLength(1));
int[,] board = new int[height, width];
int count = 0;
for (int x = 0; x < height; x++)
for (int y = 0; y < width; y++)
if ((board[x, y] = input[x, y]) >= 0) count++;
BitArray given = Scan(board, count, height, width);
return (board, given, count);
}
private static BitArray Scan(int[,] board, int count, int height, int width)
{
var given = new BitArray(count + 1);
for (int x = 0; x < height; x++)
for (int y = 0; y < width; y++)
if (board[x, y] > 0) given[board[x, y] - 1] = true;
return given;
}
private static void Print(int[,] board)
{
if (board == null) {
WriteLine("No solution");
} else {
int w = board.Cast<int>().Where(i => i > 0).Max(i => (int?)Ceiling(Log10(i+1))) ?? 1;
string e = new string('-', w);
foreach (int x in Range(0, board.GetLength(0)))
WriteLine(string.Join(" ", Range(0, board.GetLength(1))
.Select(y => board[x, y] < 0 ? e : board[x, y].ToString().PadLeft(w, ' '))));
}
WriteLine();
}
} |
http://rosettacode.org/wiki/Sort_an_array_of_composite_structures | Sort an array of composite structures |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Sort an array of composite structures by a key.
For example, if you define a composite structure that presents a name-value pair (in pseudo-code):
Define structure pair such that:
name as a string
value as a string
and an array of such pairs:
x: array of pairs
then define a sort routine that sorts the array x by the key name.
This task can always be accomplished with Sorting Using a Custom Comparator.
If your language is not listed here, please see the other article.
| #AppleScript | AppleScript | use framework "Foundation"
----- SORTING COMPOSITE STRUCTURES (BY MULTIPLE KEYS) ------
-- List of {strKey, blnAscending} pairs -> list of records -> sorted list of records
-- sortByComparing :: [(String, Bool)] -> [Record] -> [Record]
on sortByComparing(keyDirections, xs)
set ca to current application
script recDict
on |λ|(x)
ca's NSDictionary's dictionaryWithDictionary:x
end |λ|
end script
set dcts to map(recDict, xs)
script asDescriptor
on |λ|(kd)
set {k, d} to kd
ca's NSSortDescriptor's sortDescriptorWithKey:k ascending:d selector:dcts
end |λ|
end script
((ca's NSArray's arrayWithArray:dcts)'s ¬
sortedArrayUsingDescriptors:map(asDescriptor, keyDirections)) as list
end sortByComparing
--------------------------- TEST ---------------------------
on run
set xs to [¬
{city:"Shanghai ", pop:24.2}, ¬
{city:"Karachi ", pop:23.5}, ¬
{city:"Beijing ", pop:21.5}, ¬
{city:"Sao Paulo ", pop:24.2}, ¬
{city:"Dhaka ", pop:17.0}, ¬
{city:"Delhi ", pop:16.8}, ¬
{city:"Lagos ", pop:16.1}]
-- Boolean true for ascending order, false for descending:
sortByComparing([{"pop", false}, {"city", true}], xs)
end run
-------------------- GENERIC FUNCTIONS ---------------------
-- map :: (a -> b) -> [a] -> [b]
on map(f, xs)
tell mReturn(f)
set lng to length of xs
set lst to {}
repeat with i from 1 to lng
set end of lst to |λ|(item i of xs, i, xs)
end repeat
return lst
end tell
end map
-- Lift 2nd class handler function into 1st class script wrapper
-- mReturn :: Handler -> Script
on mReturn(f)
if class of f is script then
f
else
script
property |λ| : f
end script
end if
end mReturn |
http://rosettacode.org/wiki/Sorting_algorithms/Counting_sort | Sorting algorithms/Counting sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Counting sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Task
Implement the Counting sort. This is a way of sorting integers when the minimum and maximum value are known.
Pseudocode
function countingSort(array, min, max):
count: array of (max - min + 1) elements
initialize count with 0
for each number in array do
count[number - min] := count[number - min] + 1
done
z := 0
for i from min to max do
while ( count[i - min] > 0 ) do
array[z] := i
z := z+1
count[i - min] := count[i - min] - 1
done
done
The min and max can be computed apart, or be known a priori.
Note: we know that, given an array of integers, its maximum and minimum values can be always found; but if we imagine the worst case for an array that can hold up to 32 bit integers, we see that in order to hold the counts, an array of up to 232 elements may be needed. I.E.: we need to hold a count value up to 232-1, which is a little over 4.2 Gbytes. So the counting sort is more practical when the range is (very) limited, and minimum and maximum values are known a priori. (However, as a counterexample, the use of sparse arrays minimizes the impact of the memory usage, as well as removing the need of having to know the minimum and maximum values a priori.)
| #Python | Python | >>> from collections import defaultdict
>>> def countingSort(array, mn, mx):
count = defaultdict(int)
for i in array:
count[i] += 1
result = []
for j in range(mn,mx+1):
result += [j]* count[j]
return result
>>> data = [9, 7, 10, 2, 9, 7, 4, 3, 10, 2, 7, 10, 2, 1, 3, 8, 7, 3, 9, 5, 8, 5, 1, 6, 3, 7, 5, 4, 6, 9, 9, 6, 6, 10, 2, 4, 5, 2, 8, 2, 2, 5, 2, 9, 3, 3, 5, 7, 8, 4]
>>> mini,maxi = 1,10
>>> countingSort(data, mini, maxi) == sorted(data)
True |
http://rosettacode.org/wiki/Solve_the_no_connection_puzzle | Solve the no connection puzzle | You are given a box with eight holes labelled A-to-H, connected by fifteen straight lines in the pattern as shown below:
A B
/│\ /│\
/ │ X │ \
/ │/ \│ \
C───D───E───F
\ │\ /│ /
\ │ X │ /
\│/ \│/
G H
You are also given eight pegs numbered 1-to-8.
Objective
Place the eight pegs in the holes so that the (absolute) difference between any two numbers connected by any line is greater than one.
Example
In this attempt:
4 7
/│\ /│\
/ │ X │ \
/ │/ \│ \
8───1───6───2
\ │\ /│ /
\ │ X │ /
\│/ \│/
3 5
Note that 7 and 6 are connected and have a difference of 1, so it is not a solution.
Task
Produce and show here one solution to the puzzle.
Related tasks
A* search algorithm
Solve a Holy Knight's tour
Knight's tour
N-queens problem
Solve a Hidato puzzle
Solve a Holy Knight's tour
Solve a Hopido puzzle
Solve a Numbrix puzzle
4-rings or 4-squares puzzle
See also
No Connection Puzzle (youtube).
| #Ada | Ada |
With
Ada.Text_IO,
Connection_Types,
Connection_Combinations;
procedure main is
Result : Connection_Types.Partial_Board renames Connection_Combinations;
begin
Ada.Text_IO.Put_Line( Connection_Types.Image(Result) );
end; |
http://rosettacode.org/wiki/Solve_the_no_connection_puzzle | Solve the no connection puzzle | You are given a box with eight holes labelled A-to-H, connected by fifteen straight lines in the pattern as shown below:
A B
/│\ /│\
/ │ X │ \
/ │/ \│ \
C───D───E───F
\ │\ /│ /
\ │ X │ /
\│/ \│/
G H
You are also given eight pegs numbered 1-to-8.
Objective
Place the eight pegs in the holes so that the (absolute) difference between any two numbers connected by any line is greater than one.
Example
In this attempt:
4 7
/│\ /│\
/ │ X │ \
/ │/ \│ \
8───1───6───2
\ │\ /│ /
\ │ X │ /
\│/ \│/
3 5
Note that 7 and 6 are connected and have a difference of 1, so it is not a solution.
Task
Produce and show here one solution to the puzzle.
Related tasks
A* search algorithm
Solve a Holy Knight's tour
Knight's tour
N-queens problem
Solve a Hidato puzzle
Solve a Holy Knight's tour
Solve a Hopido puzzle
Solve a Numbrix puzzle
4-rings or 4-squares puzzle
See also
No Connection Puzzle (youtube).
| #APL | APL |
perms←{
⍝∇ 20100513/20140818 ra⌈ --()--
1=⍴⍴⍵:⍵[∇ ''⍴⍴⍵]
↑{0∊⍴⍵:⍵ ⋄ (⍺[1]⌷⍵),(1↓⍺)∇ ⍵~⍺[1]⌷⍵}∘(⍳⍵)¨↓⍉1+(⌽⍳⍵)⊤¯1+⍳!⍵
}
solution←{
links← (3 4 5) (4 5 6) (1 4 7) (1 2 3 5 7 8) (1 2 4 6 7 8) (2 5 8) (3 4 5) (4 5 6) ⍝ node i connects with nodes i⊃links
tries←8 perms 8
fails←{1∊{1∊⍵∊¯1 0 1}¨|⍺-¨⍺∘{⍺[⍵]}¨⍵}
⍝ ⍴⍸~tries fails ⍤1⊢links
⍝ 16
solns←⍸~tries fails ⍤1⊢links
tries[''⍴solns;]
}
|
http://rosettacode.org/wiki/Solve_a_Numbrix_puzzle | Solve a Numbrix puzzle | Numbrix puzzles are similar to Hidato.
The most important difference is that it is only possible to move 1 node left, right, up, or down (sometimes referred to as the Von Neumann neighborhood).
Published puzzles also tend not to have holes in the grid and may not always indicate the end node.
Two examples follow:
Example 1
Problem.
0 0 0 0 0 0 0 0 0
0 0 46 45 0 55 74 0 0
0 38 0 0 43 0 0 78 0
0 35 0 0 0 0 0 71 0
0 0 33 0 0 0 59 0 0
0 17 0 0 0 0 0 67 0
0 18 0 0 11 0 0 64 0
0 0 24 21 0 1 2 0 0
0 0 0 0 0 0 0 0 0
Solution.
49 50 51 52 53 54 75 76 81
48 47 46 45 44 55 74 77 80
37 38 39 40 43 56 73 78 79
36 35 34 41 42 57 72 71 70
31 32 33 14 13 58 59 68 69
30 17 16 15 12 61 60 67 66
29 18 19 20 11 62 63 64 65
28 25 24 21 10 1 2 3 4
27 26 23 22 9 8 7 6 5
Example 2
Problem.
0 0 0 0 0 0 0 0 0
0 11 12 15 18 21 62 61 0
0 6 0 0 0 0 0 60 0
0 33 0 0 0 0 0 57 0
0 32 0 0 0 0 0 56 0
0 37 0 1 0 0 0 73 0
0 38 0 0 0 0 0 72 0
0 43 44 47 48 51 76 77 0
0 0 0 0 0 0 0 0 0
Solution.
9 10 13 14 19 20 63 64 65
8 11 12 15 18 21 62 61 66
7 6 5 16 17 22 59 60 67
34 33 4 3 24 23 58 57 68
35 32 31 2 25 54 55 56 69
36 37 30 1 26 53 74 73 70
39 38 29 28 27 52 75 72 71
40 43 44 47 48 51 76 77 78
41 42 45 46 49 50 81 80 79
Task
Write a program to solve puzzles of this ilk,
demonstrating your program by solving the above examples.
Extra credit for other interesting examples.
Related tasks
A* search algorithm
Solve a Holy Knight's tour
Knight's tour
N-queens problem
Solve a Hidato puzzle
Solve a Holy Knight's tour
Solve a Hopido puzzle
Solve the no connection puzzle
| #Elixir | Elixir | # require HLPsolver
adjacent = [{-1, 0}, {0, -1}, {0, 1}, {1, 0}]
board1 = """
0 0 0 0 0 0 0 0 0
0 0 46 45 0 55 74 0 0
0 38 0 0 43 0 0 78 0
0 35 0 0 0 0 0 71 0
0 0 33 0 0 0 59 0 0
0 17 0 0 0 0 0 67 0
0 18 0 0 11 0 0 64 0
0 0 24 21 0 1 2 0 0
0 0 0 0 0 0 0 0 0
"""
HLPsolver.solve(board1, adjacent)
board2 = """
0 0 0 0 0 0 0 0 0
0 11 12 15 18 21 62 61 0
0 6 0 0 0 0 0 60 0
0 33 0 0 0 0 0 57 0
0 32 0 0 0 0 0 56 0
0 37 0 1 0 0 0 73 0
0 38 0 0 0 0 0 72 0
0 43 44 47 48 51 76 77 0
0 0 0 0 0 0 0 0 0
"""
HLPsolver.solve(board2, adjacent) |
http://rosettacode.org/wiki/Solve_a_Numbrix_puzzle | Solve a Numbrix puzzle | Numbrix puzzles are similar to Hidato.
The most important difference is that it is only possible to move 1 node left, right, up, or down (sometimes referred to as the Von Neumann neighborhood).
Published puzzles also tend not to have holes in the grid and may not always indicate the end node.
Two examples follow:
Example 1
Problem.
0 0 0 0 0 0 0 0 0
0 0 46 45 0 55 74 0 0
0 38 0 0 43 0 0 78 0
0 35 0 0 0 0 0 71 0
0 0 33 0 0 0 59 0 0
0 17 0 0 0 0 0 67 0
0 18 0 0 11 0 0 64 0
0 0 24 21 0 1 2 0 0
0 0 0 0 0 0 0 0 0
Solution.
49 50 51 52 53 54 75 76 81
48 47 46 45 44 55 74 77 80
37 38 39 40 43 56 73 78 79
36 35 34 41 42 57 72 71 70
31 32 33 14 13 58 59 68 69
30 17 16 15 12 61 60 67 66
29 18 19 20 11 62 63 64 65
28 25 24 21 10 1 2 3 4
27 26 23 22 9 8 7 6 5
Example 2
Problem.
0 0 0 0 0 0 0 0 0
0 11 12 15 18 21 62 61 0
0 6 0 0 0 0 0 60 0
0 33 0 0 0 0 0 57 0
0 32 0 0 0 0 0 56 0
0 37 0 1 0 0 0 73 0
0 38 0 0 0 0 0 72 0
0 43 44 47 48 51 76 77 0
0 0 0 0 0 0 0 0 0
Solution.
9 10 13 14 19 20 63 64 65
8 11 12 15 18 21 62 61 66
7 6 5 16 17 22 59 60 67
34 33 4 3 24 23 58 57 68
35 32 31 2 25 54 55 56 69
36 37 30 1 26 53 74 73 70
39 38 29 28 27 52 75 72 71
40 43 44 47 48 51 76 77 78
41 42 45 46 49 50 81 80 79
Task
Write a program to solve puzzles of this ilk,
demonstrating your program by solving the above examples.
Extra credit for other interesting examples.
Related tasks
A* search algorithm
Solve a Holy Knight's tour
Knight's tour
N-queens problem
Solve a Hidato puzzle
Solve a Holy Knight's tour
Solve a Hopido puzzle
Solve the no connection puzzle
| #Go | Go | package main
import (
"fmt"
"sort"
"strconv"
"strings"
)
var example1 = []string{
"00,00,00,00,00,00,00,00,00",
"00,00,46,45,00,55,74,00,00",
"00,38,00,00,43,00,00,78,00",
"00,35,00,00,00,00,00,71,00",
"00,00,33,00,00,00,59,00,00",
"00,17,00,00,00,00,00,67,00",
"00,18,00,00,11,00,00,64,00",
"00,00,24,21,00,01,02,00,00",
"00,00,00,00,00,00,00,00,00",
}
var example2 = []string{
"00,00,00,00,00,00,00,00,00",
"00,11,12,15,18,21,62,61,00",
"00,06,00,00,00,00,00,60,00",
"00,33,00,00,00,00,00,57,00",
"00,32,00,00,00,00,00,56,00",
"00,37,00,01,00,00,00,73,00",
"00,38,00,00,00,00,00,72,00",
"00,43,44,47,48,51,76,77,00",
"00,00,00,00,00,00,00,00,00",
}
var moves = [][2]int{{1, 0}, {0, 1}, {-1, 0}, {0, -1}}
var (
grid [][]int
clues []int
totalToFill = 0
)
func solve(r, c, count, nextClue int) bool {
if count > totalToFill {
return true
}
back := grid[r][c]
if back != 0 && back != count {
return false
}
if back == 0 && nextClue < len(clues) && clues[nextClue] == count {
return false
}
if back == count {
nextClue++
}
grid[r][c] = count
for _, move := range moves {
if solve(r+move[1], c+move[0], count+1, nextClue) {
return true
}
}
grid[r][c] = back
return false
}
func printResult(n int) {
fmt.Println("Solution for example", n, "\b:")
for _, row := range grid {
for _, i := range row {
if i == -1 {
continue
}
fmt.Printf("%2d ", i)
}
fmt.Println()
}
}
func main() {
for n, board := range [2][]string{example1, example2} {
nRows := len(board) + 2
nCols := len(strings.Split(board[0], ",")) + 2
startRow, startCol := 0, 0
grid = make([][]int, nRows)
totalToFill = (nRows - 2) * (nCols - 2)
var lst []int
for r := 0; r < nRows; r++ {
grid[r] = make([]int, nCols)
for c := 0; c < nCols; c++ {
grid[r][c] = -1
}
if r >= 1 && r < nRows-1 {
row := strings.Split(board[r-1], ",")
for c := 1; c < nCols-1; c++ {
val, _ := strconv.Atoi(row[c-1])
if val > 0 {
lst = append(lst, val)
}
if val == 1 {
startRow, startCol = r, c
}
grid[r][c] = val
}
}
}
sort.Ints(lst)
clues = lst
if solve(startRow, startCol, 1, 0) {
printResult(n + 1)
}
}
} |
http://rosettacode.org/wiki/Sort_an_integer_array | Sort an integer array |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Sort an array (or list) of integers in ascending numerical order.
Use a sorting facility provided by the language/library if possible.
| #BaCon | BaCon | ' Sort an integer array
DECLARE values[5] TYPE NUMBER
values[0] = 23
values[1] = 32
values[2] = 12
values[3] = 21
values[4] = 01
SORT values
FOR i = 0 TO 3
PRINT values[i], ", ";
NEXT
PRINT values[4] |
http://rosettacode.org/wiki/Sort_an_integer_array | Sort an integer array |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Sort an array (or list) of integers in ascending numerical order.
Use a sorting facility provided by the language/library if possible.
| #BBC_BASIC | BBC BASIC | INSTALL @lib$+"SORTLIB"
sort% = FN_sortinit(0,0)
DIM array(8)
array() = 8, 2, 5, 9, 1, 3, 6, 7, 4
C% = DIM(array(),1) + 1
CALL sort%, array(0)
FOR i% = 0 TO DIM(array(),1) - 1
PRINT ; array(i%) ", ";
NEXT
PRINT ; array(i%) |
http://rosettacode.org/wiki/Sort_a_list_of_object_identifiers | Sort a list of object identifiers |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Object identifiers (OID)
Task
Show how to sort a list of OIDs, in their natural sort order.
Details
An OID consists of one or more non-negative integers in base 10, separated by dots. It starts and ends with a number.
Their natural sort order is lexicographical with regard to the dot-separated fields, using numeric comparison between fields.
Test case
Input (list of strings)
Output (list of strings)
1.3.6.1.4.1.11.2.17.19.3.4.0.10
1.3.6.1.4.1.11.2.17.5.2.0.79
1.3.6.1.4.1.11.2.17.19.3.4.0.4
1.3.6.1.4.1.11150.3.4.0.1
1.3.6.1.4.1.11.2.17.19.3.4.0.1
1.3.6.1.4.1.11150.3.4.0
1.3.6.1.4.1.11.2.17.5.2.0.79
1.3.6.1.4.1.11.2.17.19.3.4.0.1
1.3.6.1.4.1.11.2.17.19.3.4.0.4
1.3.6.1.4.1.11.2.17.19.3.4.0.10
1.3.6.1.4.1.11150.3.4.0
1.3.6.1.4.1.11150.3.4.0.1
Related tasks
Natural sorting
Sort using a custom comparator
| #Clojure | Clojure |
(defn oid-vec [oid-str]
(->> (clojure.string/split oid-str #"\.")
(map #(Long. %))))
(defn oid-str [oid-vec]
(clojure.string/join "." oid-vec))
;;
;; If vals differ before shorter vec ends,
;; use comparison of that "common header".
;; If common part matches, compare based on num elements.
;;
(defn oid-compare [a b]
(let [min-len (min (count a) (count b))
common-cmp (compare (vec (take min-len a))
(vec (take min-len b)))]
(if (zero? common-cmp)
(compare (count a) (count b))
common-cmp)))
(defn sort-oids [oid-strs]
(->> (map oid-vec oid-strs)
(sort oid-compare)
(map oid-str)))
|
http://rosettacode.org/wiki/Sort_disjoint_sublist | Sort disjoint sublist |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Given a list of values and a set of integer indices into that value list, the task is to sort the values at the given indices, while preserving the values at indices outside the set of those to be sorted.
Make your example work with the following list of values and set of indices:
Values: [7, 6, 5, 4, 3, 2, 1, 0]
Indices: {6, 1, 7}
Where the correct result would be:
[7, 0, 5, 4, 3, 2, 1, 6].
In case of one-based indexing, rather than the zero-based indexing above, you would use the indices {7, 2, 8} instead.
The indices are described as a set rather than a list but any collection-type of those indices without duplication may be used as long as the example is insensitive to the order of indices given.
Cf.
Order disjoint list items
| #Elena | Elena | import extensions;
import system'routines;
import system'culture;
extension op
{
sortSublist(indices)
{
var subList := indices.orderBy:(x => x)
.zipBy(indices.selectBy:(i => self[i])
.orderBy:(x => x), (index,val => new{ Index = index; Value = val; }))
.toArray();
var list := self.clone();
subList.forEach:(r)
{
list[r.Index] := r.Value
};
^ list
}
}
public program()
{
var list := new int[]{ 7, 6, 5, 4, 3, 2, 1, 0 };
console.printLine(list.sortSublist(new int[]{6, 1, 7}).asEnumerable())
} |
http://rosettacode.org/wiki/Sort_disjoint_sublist | Sort disjoint sublist |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Given a list of values and a set of integer indices into that value list, the task is to sort the values at the given indices, while preserving the values at indices outside the set of those to be sorted.
Make your example work with the following list of values and set of indices:
Values: [7, 6, 5, 4, 3, 2, 1, 0]
Indices: {6, 1, 7}
Where the correct result would be:
[7, 0, 5, 4, 3, 2, 1, 6].
In case of one-based indexing, rather than the zero-based indexing above, you would use the indices {7, 2, 8} instead.
The indices are described as a set rather than a list but any collection-type of those indices without duplication may be used as long as the example is insensitive to the order of indices given.
Cf.
Order disjoint list items
| #Elixir | Elixir | defmodule Sort_disjoint do
def sublist(values, indices) when is_list(values) and is_list(indices) do
indices2 = Enum.sort(indices)
selected = select(values, indices2, 0, []) |> Enum.sort
replace(values, Enum.zip(indices2, selected), 0, [])
end
defp select(_, [], _, selected), do: selected
defp select([val|t], [i|rest], i, selected), do: select(t, rest, i+1, [val|selected])
defp select([_|t], indices, i, selected), do: select(t, indices, i+1, selected)
defp replace(values, [], _, list), do: Enum.reverse(list, values)
defp replace([_|t], [{i,v}|rest], i, list), do: replace(t, rest, i+1, [v|list])
defp replace([val|t], indices, i, list), do: replace(t, indices, i+1, [val|list])
end
values = [7, 6, 5, 4, 3, 2, 1, 0]
indices = [6, 1, 7]
IO.inspect Sort_disjoint.sublist(values, indices) |
http://rosettacode.org/wiki/Sort_stability | Sort stability |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
When sorting records in a table by a particular column or field, a stable sort will always retain the relative order of records that have the same key.
Example
In this table of countries and cities, a stable sort on the second column, the cities, would keep the US Birmingham above the UK Birmingham.
(Although an unstable sort might, in this case, place the US Birmingham above the UK Birmingham, a stable sort routine would guarantee it).
UK London
US New York
US Birmingham
UK Birmingham
Similarly, stable sorting on just the first column would generate UK London as the first item and US Birmingham as the last item (since the order of the elements having the same first word – UK or US – would be maintained).
Task
Examine the documentation on any in-built sort routines supplied by a language.
Indicate if an in-built routine is supplied
If supplied, indicate whether or not the in-built routine is stable.
(This Wikipedia table shows the stability of some common sort routines).
| #Nim | Nim | import algorithm
const Records = [(country: "UK", city: "London"),
(country: "US", city: "New York"),
(country: "US", city: "Birmingham"),
(country: "UK", city: "Birmingham")]
echo "Original order:"
for record in Records:
echo record.country, " ", record.city
echo()
echo "Sorted by city name:"
for record in Records.sortedByIt(it.city):
echo record.country, " ", record.city
echo()
echo "Sorted by country name:"
for record in Records.sortedByIt(it.country):
echo record.country, " ", record.city |
http://rosettacode.org/wiki/Sort_stability | Sort stability |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
When sorting records in a table by a particular column or field, a stable sort will always retain the relative order of records that have the same key.
Example
In this table of countries and cities, a stable sort on the second column, the cities, would keep the US Birmingham above the UK Birmingham.
(Although an unstable sort might, in this case, place the US Birmingham above the UK Birmingham, a stable sort routine would guarantee it).
UK London
US New York
US Birmingham
UK Birmingham
Similarly, stable sorting on just the first column would generate UK London as the first item and US Birmingham as the last item (since the order of the elements having the same first word – UK or US – would be maintained).
Task
Examine the documentation on any in-built sort routines supplied by a language.
Indicate if an in-built routine is supplied
If supplied, indicate whether or not the in-built routine is stable.
(This Wikipedia table shows the stability of some common sort routines).
| #OCaml | OCaml | /* Rexx */
Do
cities = .array~of('UK London', 'US New York', 'US Birmingham', 'UK Birmingham',)
Say; Say 'Original table'
Call display cities
Say; Say 'Unstable sort on city'
sorted = cities~copy
sorted~sortWith(.ColumnComparator~new(4, 20))
Call display sorted
Say; Say 'Stable sort on city'
sorted = cities~copy
sorted~stableSortWith(.ColumnComparator~new(4, 20))
Call display sorted
Say; Say 'Unstable sort on country'
sorted = cities~copy
sorted~sortWith(.ColumnComparator~new(1, 2))
Call display sorted
Say; Say 'Stable sort on country'
sorted = cities~copy
sorted~stableSortWith(.ColumnComparator~new(1, 2))
Call display sorted
Return
End
Exit
display: Procedure
Do
Use arg CT
Say '-'~copies(80)
Loop c_ over CT
Say c_
End c_
Return
End
Exit
|
http://rosettacode.org/wiki/Sort_stability | Sort stability |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
When sorting records in a table by a particular column or field, a stable sort will always retain the relative order of records that have the same key.
Example
In this table of countries and cities, a stable sort on the second column, the cities, would keep the US Birmingham above the UK Birmingham.
(Although an unstable sort might, in this case, place the US Birmingham above the UK Birmingham, a stable sort routine would guarantee it).
UK London
US New York
US Birmingham
UK Birmingham
Similarly, stable sorting on just the first column would generate UK London as the first item and US Birmingham as the last item (since the order of the elements having the same first word – UK or US – would be maintained).
Task
Examine the documentation on any in-built sort routines supplied by a language.
Indicate if an in-built routine is supplied
If supplied, indicate whether or not the in-built routine is stable.
(This Wikipedia table shows the stability of some common sort routines).
| #ooRexx | ooRexx | /* Rexx */
Do
cities = .array~of('UK London', 'US New York', 'US Birmingham', 'UK Birmingham',)
Say; Say 'Original table'
Call display cities
Say; Say 'Unstable sort on city'
sorted = cities~copy
sorted~sortWith(.ColumnComparator~new(4, 20))
Call display sorted
Say; Say 'Stable sort on city'
sorted = cities~copy
sorted~stableSortWith(.ColumnComparator~new(4, 20))
Call display sorted
Say; Say 'Unstable sort on country'
sorted = cities~copy
sorted~sortWith(.ColumnComparator~new(1, 2))
Call display sorted
Say; Say 'Stable sort on country'
sorted = cities~copy
sorted~stableSortWith(.ColumnComparator~new(1, 2))
Call display sorted
Return
End
Exit
display: Procedure
Do
Use arg CT
Say '-'~copies(80)
Loop c_ over CT
Say c_
End c_
Return
End
Exit
|
http://rosettacode.org/wiki/Sort_three_variables | Sort three variables |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Sort (the values of) three variables (X, Y, and Z) that contain any value (numbers and/or literals).
If that isn't possible in your language, then just sort numbers (and note if they can be floating point, integer, or other).
I.E.: (for the three variables x, y, and z), where:
x = 'lions, tigers, and'
y = 'bears, oh my!'
z = '(from the "Wizard of OZ")'
After sorting, the three variables would hold:
x = '(from the "Wizard of OZ")'
y = 'bears, oh my!'
z = 'lions, tigers, and'
For numeric value sorting, use:
I.E.: (for the three variables x, y, and z), where:
x = 77444
y = -12
z = 0
After sorting, the three variables would hold:
x = -12
y = 0
z = 77444
The variables should contain some form of a number, but specify if the algorithm
used can be for floating point or integers. Note any limitations.
The values may or may not be unique.
The method used for sorting can be any algorithm; the goal is to use the most idiomatic in the computer programming language used.
More than one algorithm could be shown if one isn't clearly the better choice.
One algorithm could be:
• store the three variables x, y, and z
into an array (or a list) A
• sort (the three elements of) the array A
• extract the three elements from the array and place them in the
variables x, y, and z in order of extraction
Another algorithm (only for numeric values):
x= 77444
y= -12
z= 0
low= x
mid= y
high= z
x= min(low, mid, high) /*determine the lowest value of X,Y,Z. */
z= max(low, mid, high) /* " " highest " " " " " */
y= low + mid + high - x - z /* " " middle " " " " " */
Show the results of the sort here on this page using at least the values of those shown above.
| #M2000_Interpreter | M2000 Interpreter |
Module Sort3 {
Let X=77744, Y=-12, Z=0
Let X$ = "lions, tigers, and", Y$ = "bears, oh my!", Z$ = {(from the "Wizard of OZ")}
\\ & use for by reference pass
Module SortSome (&X$, &Y$, &Z$){
If Type$(X$)<>"String" Then {
Link X$,Y$, Z$ to X,Y,Z
Print3()
If Y>Z then Swap Y, Z ' both numeric in Swap
If X>Z then Swap X, Z
If X>Y then Swap X, Y
Print3()
} Else {
Print3Str()
If Y$>Z$ then Swap Y$, Z$ ' both strings in Swap
If X$>Z$ then Swap X$, Z$
If X$>Y$ then Swap X$, Y$
Print3Str()
}
}
SortSome &X, &Y, &Z
SortSome &X$, &Y$, &Z$
Sub Print3()
\\ double ,, used to insert a New Line
Print "X=",X,,"Y=",Y,,"Z=",Z
End Sub
Sub Print3Str()
Print "X$=",X$,,"Y$=",Y$,,"Z$=",Z$
End Sub
}
Sort3
|
http://rosettacode.org/wiki/Sort_three_variables | Sort three variables |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Sort (the values of) three variables (X, Y, and Z) that contain any value (numbers and/or literals).
If that isn't possible in your language, then just sort numbers (and note if they can be floating point, integer, or other).
I.E.: (for the three variables x, y, and z), where:
x = 'lions, tigers, and'
y = 'bears, oh my!'
z = '(from the "Wizard of OZ")'
After sorting, the three variables would hold:
x = '(from the "Wizard of OZ")'
y = 'bears, oh my!'
z = 'lions, tigers, and'
For numeric value sorting, use:
I.E.: (for the three variables x, y, and z), where:
x = 77444
y = -12
z = 0
After sorting, the three variables would hold:
x = -12
y = 0
z = 77444
The variables should contain some form of a number, but specify if the algorithm
used can be for floating point or integers. Note any limitations.
The values may or may not be unique.
The method used for sorting can be any algorithm; the goal is to use the most idiomatic in the computer programming language used.
More than one algorithm could be shown if one isn't clearly the better choice.
One algorithm could be:
• store the three variables x, y, and z
into an array (or a list) A
• sort (the three elements of) the array A
• extract the three elements from the array and place them in the
variables x, y, and z in order of extraction
Another algorithm (only for numeric values):
x= 77444
y= -12
z= 0
low= x
mid= y
high= z
x= min(low, mid, high) /*determine the lowest value of X,Y,Z. */
z= max(low, mid, high) /* " " highest " " " " " */
y= low + mid + high - x - z /* " " middle " " " " " */
Show the results of the sort here on this page using at least the values of those shown above.
| #Maple | Maple | lst := sort([x,y,z]):
x,y,z := lst[1],lst[2],lst[3]: |
http://rosettacode.org/wiki/Sort_using_a_custom_comparator | Sort using a custom comparator |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Sort an array (or list) of strings in order of descending length, and in ascending lexicographic order for strings of equal length.
Use a sorting facility provided by the language/library, combined with your own callback comparison function.
Note: Lexicographic order is case-insensitive.
| #Groovy | Groovy | def strings = "Here are some sample strings to be sorted".split()
strings.sort { x, y ->
y.length() <=> x.length() ?: x.compareToIgnoreCase(y)
}
println strings |
http://rosettacode.org/wiki/Sorting_algorithms/Comb_sort | Sorting algorithms/Comb sort | Sorting algorithms/Comb sort
You are encouraged to solve this task according to the task description, using any language you may know.
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Implement a comb sort.
The Comb Sort is a variant of the Bubble Sort.
Like the Shell sort, the Comb Sort increases the gap used in comparisons and exchanges.
Dividing the gap by
(
1
−
e
−
φ
)
−
1
≈
1.247330950103979
{\displaystyle (1-e^{-\varphi })^{-1}\approx 1.247330950103979}
works best, but 1.3 may be more practical.
Some implementations use the insertion sort once the gap is less than a certain amount.
Also see
the Wikipedia article: Comb sort.
Variants:
Combsort11 makes sure the gap ends in (11, 8, 6, 4, 3, 2, 1), which is significantly faster than the other two possible endings.
Combsort with different endings changes to a more efficient sort when the data is almost sorted (when the gap is small). Comb sort with a low gap isn't much better than the Bubble Sort.
Pseudocode:
function combsort(array input)
gap := input.size //initialize gap size
loop until gap = 1 and swaps = 0
//update the gap value for a next comb. Below is an example
gap := int(gap / 1.25)
if gap < 1
//minimum gap is 1
gap := 1
end if
i := 0
swaps := 0 //see Bubble Sort for an explanation
//a single "comb" over the input list
loop until i + gap >= input.size //see Shell sort for similar idea
if input[i] > input[i+gap]
swap(input[i], input[i+gap])
swaps := 1 // Flag a swap has occurred, so the
// list is not guaranteed sorted
end if
i := i + 1
end loop
end loop
end function
| #Ruby | Ruby | class Array
def combsort!
gap = size
swaps = true
while gap > 1 or swaps
gap = [1, (gap / 1.25).to_i].max
swaps = false
0.upto(size - gap - 1) do |i|
if self[i] > self[i+gap]
self[i], self[i+gap] = self[i+gap], self[i]
swaps = true
end
end
end
self
end
end
p [23, 76, 99, 58, 97, 57, 35, 89, 51, 38, 95, 92, 24, 46, 31, 24, 14, 12, 57, 78].combsort! |
http://rosettacode.org/wiki/Sorting_algorithms/Bogosort | Sorting algorithms/Bogosort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Bogosort a list of numbers.
Bogosort simply shuffles a collection randomly until it is sorted.
"Bogosort" is a perversely inefficient algorithm only used as an in-joke.
Its average run-time is O(n!) because the chance that any given shuffle of a set will end up in sorted order is about one in n factorial, and the worst case is infinite since there's no guarantee that a random shuffling will ever produce a sorted sequence.
Its best case is O(n) since a single pass through the elements may suffice to order them.
Pseudocode:
while not InOrder(list) do
Shuffle(list)
done
The Knuth shuffle may be used to implement the shuffle part of this algorithm.
| #Prolog | Prolog | bogo_sort(L,Rl) :-
min_list(L,Min),
repeat,
random_permutation(L,Rl),
is_sorted(Rl,Min),
!.
is_sorted([],_).
is_sorted([N|T],P) :-
N >= P,
is_sorted(T,N). |
http://rosettacode.org/wiki/Sorting_algorithms/Bubble_sort | Sorting algorithms/Bubble sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
A bubble sort is generally considered to be the simplest sorting algorithm.
A bubble sort is also known as a sinking sort.
Because of its simplicity and ease of visualization, it is often taught in introductory computer science courses.
Because of its abysmal O(n2) performance, it is not used often for large (or even medium-sized) datasets.
The bubble sort works by passing sequentially over a list, comparing each value to the one immediately after it. If the first value is greater than the second, their positions are switched. Over a number of passes, at most equal to the number of elements in the list, all of the values drift into their correct positions (large values "bubble" rapidly toward the end, pushing others down around them).
Because each pass finds the maximum item and puts it at the end, the portion of the list to be sorted can be reduced at each pass.
A boolean variable is used to track whether any changes have been made in the current pass; when a pass completes without changing anything, the algorithm exits.
This can be expressed in pseudo-code as follows (assuming 1-based indexing):
repeat
if itemCount <= 1
return
hasChanged := false
decrement itemCount
repeat with index from 1 to itemCount
if (item at index) > (item at (index + 1))
swap (item at index) with (item at (index + 1))
hasChanged := true
until hasChanged = false
Task
Sort an array of elements using the bubble sort algorithm. The elements must have a total order and the index of the array can be of any discrete type. For languages where this is not possible, sort an array of integers.
References
The article on Wikipedia.
Dance interpretation.
| #Draco | Draco | /* Bubble sort an array of integers */
proc nonrec bubblesort([*] int a) void:
bool sorted;
int i, temp;
sorted := false;
while not sorted do
sorted := true;
for i from 1 upto dim(a,1)-1 do
if a[i-1] > a[i] then
sorted := false;
temp := a[i-1];
a[i-1] := a[i];
a[i] := temp
fi
od
od
corp
/* Test */
proc nonrec main() void:
int i;
[10] int a = (9, -5, 3, 3, 24, -16, 3, -120, 250, 17);
write("Before sorting: ");
for i from 0 upto 9 do write(a[i]:5) od;
writeln();
bubblesort(a);
write("After sorting: ");
for i from 0 upto 9 do write(a[i]:5) od
corp |
http://rosettacode.org/wiki/Sorting_algorithms/Gnome_sort | Sorting algorithms/Gnome sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Gnome sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Gnome sort is a sorting algorithm which is similar to Insertion sort, except that moving an element to its proper place is accomplished by a series of swaps, as in Bubble Sort.
The pseudocode for the algorithm is:
function gnomeSort(a[0..size-1])
i := 1
j := 2
while i < size do
if a[i-1] <= a[i] then
// for descending sort, use >= for comparison
i := j
j := j + 1
else
swap a[i-1] and a[i]
i := i - 1
if i = 0 then
i := j
j := j + 1
endif
endif
done
Task
Implement the Gnome sort in your language to sort an array (or list) of numbers.
| #Maple | Maple | arr := Array([17,3,72,0,36,2,3,8,40,0]):
len := numelems(arr):
i := 2:
while (i <= len) do
if (i=1 or arr[i] >= arr[i-1]) then
i++:
else
temp:= arr[i]:
arr[i] := arr[i-1]:
arr[i-1] := temp:
i--:
end if:
end do:
arr; |
http://rosettacode.org/wiki/Sorting_algorithms/Bead_sort | Sorting algorithms/Bead sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Sort an array of positive integers using the Bead Sort Algorithm.
A bead sort is also known as a gravity sort.
Algorithm has O(S), where S is the sum of the integers in the input set: Each bead is moved individually.
This is the case when bead sort is implemented without a mechanism to assist in finding empty spaces below the beads, such as in software implementations.
| #Python | Python |
#!/bin/python3
from itertools import zip_longest
# This is wrong, it works only on specific examples
def beadsort(l):
return list(map(sum, zip_longest(*[[1] * e for e in l], fillvalue=0)))
# Demonstration code:
print(beadsort([5,3,1,7,4,1,1]))
|
http://rosettacode.org/wiki/Sorting_algorithms/Bead_sort | Sorting algorithms/Bead sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Sort an array of positive integers using the Bead Sort Algorithm.
A bead sort is also known as a gravity sort.
Algorithm has O(S), where S is the sum of the integers in the input set: Each bead is moved individually.
This is the case when bead sort is implemented without a mechanism to assist in finding empty spaces below the beads, such as in software implementations.
| #QB64 | QB64 |
#lang QB64
'***************************************************
'* BeadSort is VERY fast for small CGSortLibArray(max)-CGSortLibArray(min). Typical performance is
'* O(NlogN) or better. However as the key values (array values and ranges) go up, the performance
'* drops steeply excellent for small-ranged arrays. Integer only at this point. Throughput is
'* roughly 900k/GHzS for double-precision, with binary range (0,1). Related to CountingSort()
'***************************************************
SUB BeadSort (CGSortLibArray() AS DOUBLE, start AS LONG, finish AS LONG, order&)
DIM MAX AS DOUBLE: MAX = CGSortLibArray(start)
DIM BeadSort_Sum AS DOUBLE
DIM BeadSort_I AS LONG
DIM BeadSort_J AS LONG
FOR BeadSort_I = start + 1 TO (finish - start)
IF (CGSortLibArray(BeadSort_I) > MAX) THEN MAX = CGSortLibArray(BeadSort_I)
NEXT
REDIM beads((finish - start), MAX)
FOR BeadSort_I = 0 TO (finish - start) - 1
FOR BeadSort_J = 0 TO CGSortLibArray(BeadSort_I) - 1
beads(BeadSort_I, BeadSort_J) = 1
NEXT
NEXT
IF order& = 1 THEN
FOR BeadSort_J = 0 TO MAX
BeadSort_Sum = 0
FOR BeadSort_I = 0 TO (finish - start)
BeadSort_Sum = BeadSort_Sum + beads(BeadSort_I, BeadSort_J)
beads(BeadSort_I, BeadSort_J) = 0
NEXT
FOR BeadSort_I = (finish - start) - BeadSort_Sum TO (finish - start)
beads(BeadSort_I, BeadSort_J) = 1
NEXT
NEXT
FOR BeadSort_I = 0 TO (finish - start)
BeadSort_J = 0
WHILE BeadSort_J < MAX AND beads(BeadSort_I, BeadSort_J)
BeadSort_J = BeadSort_J + 1
WEND
CGSortLibArray(BeadSort_I) = BeadSort_J
NEXT
ELSE
FOR BeadSort_J = MAX TO 0 STEP -1
BeadSort_Sum = 0
FOR I = 0 TO (finish - start)
BeadSort_Sum = BeadSort_Sum + beads(I, BeadSort_J)
beads(I, BeadSort_J) = 0
NEXT
FOR I = (finish - start) TO (finish - start) - BeadSort_Sum STEP -1
beads(I, BeadSort_J) = 1
NEXT
NEXT
FOR BeadSort_I = 0 TO (finish - start)
BeadSort_J = 0
WHILE BeadSort_J < MAX AND beads(BeadSort_I, BeadSort_J)
BeadSort_J = BeadSort_J + 1
WEND
CGSortLibArray(finish - BeadSort_I) = BeadSort_J
NEXT
END IF
END SUB
|
http://rosettacode.org/wiki/Sorting_algorithms/Cocktail_sort | Sorting algorithms/Cocktail sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Cocktail sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
The cocktail shaker sort is an improvement on the Bubble Sort.
The improvement is basically that values "bubble" both directions through the array, because on each iteration the cocktail shaker sort bubble sorts once forwards and once backwards. Pseudocode for the algorithm (from wikipedia):
function cocktailSort( A : list of sortable items )
do
swapped := false
for each i in 0 to length( A ) - 2 do
if A[ i ] > A[ i+1 ] then // test whether the two
// elements are in the wrong
// order
swap( A[ i ], A[ i+1 ] ) // let the two elements
// change places
swapped := true;
if swapped = false then
// we can exit the outer loop here if no swaps occurred.
break do-while loop;
swapped := false
for each i in length( A ) - 2 down to 0 do
if A[ i ] > A[ i+1 ] then
swap( A[ i ], A[ i+1 ] )
swapped := true;
while swapped; // if no elements have been swapped,
// then the list is sorted
Related task
cocktail sort with shifting bounds
| #JavaScript | JavaScript |
// Node 5.4.1 tested implementation (ES6)
"use strict";
let arr = [4, 9, 0, 3, 1, 5];
let isSorted = true;
while (isSorted){
for (let i = 0; i< arr.length - 1;i++){
if (arr[i] > arr[i + 1])
{
let temp = arr[i];
arr[i] = arr[i + 1];
arr[i+1] = temp;
isSorted = true;
}
}
if (!isSorted)
break;
isSorted = false;
for (let j = arr.length - 1; j > 0; j--){
if (arr[j-1] > arr[j])
{
let temp = arr[j];
arr[j] = arr[j - 1];
arr[j - 1] = temp;
isSorted = true;
}
}
}
console.log(arr);
} |
http://rosettacode.org/wiki/Solve_a_Holy_Knight%27s_tour | Solve a Holy Knight's tour |
Chess coaches have been known to inflict a kind of torture on beginners by taking a chess board, placing pennies on some squares and requiring that a Knight's tour be constructed that avoids the squares with pennies.
This kind of knight's tour puzzle is similar to Hidato.
The present task is to produce a solution to such problems. At least demonstrate your program by solving the following:
Example
0 0 0
0 0 0
0 0 0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
1 0 0 0 0 0 0
0 0 0
0 0 0
Note that the zeros represent the available squares, not the pennies.
Extra credit is available for other interesting examples.
Related tasks
A* search algorithm
Knight's tour
N-queens problem
Solve a Hidato puzzle
Solve a Hopido puzzle
Solve a Numbrix puzzle
Solve the no connection puzzle
| #Ada | Ada | with Knights_Tour, Ada.Text_IO, Ada.Command_Line;
procedure Holy_Knight is
Size: Positive := Positive'Value(Ada.Command_Line.Argument(1));
package KT is new Knights_Tour(Size => Size);
Board: KT.Tour := (others => (others => Natural'Last));
Start_X, Start_Y: KT.Index:= 1; -- default start place (1,1)
S: String(KT.Index);
I: Positive := KT.Index'First;
begin
-- read the board from standard input
while not Ada.Text_IO.End_Of_File and I <= Size loop
S := Ada.Text_IO.Get_Line;
for J in KT.Index loop
if S(J) = ' ' or S(J) = '-' then
Board(I,J) := Natural'Last;
elsif S(J) = '1' then
Start_X := I; Start_Y := J; Board(I,J) := 1;
else Board(I,J) := 0;
end if;
end loop;
I := I + 1;
end loop;
-- print the board
Ada.Text_IO.Put_Line("Start Configuration (Length:"
& Natural'Image(KT.Count_Moves(Board)) & "):");
KT.Tour_IO(Board, Width => 1);
Ada.Text_IO.New_Line;
-- search for the tour and print it
Ada.Text_IO.Put_Line("Tour:");
KT.Tour_IO(KT.Warnsdorff_Get_Tour(Start_X, Start_Y, Board));
end Holy_Knight; |
http://rosettacode.org/wiki/Solve_a_Hopido_puzzle | Solve a Hopido puzzle | Hopido puzzles are similar to Hidato. The most important difference is that the only moves allowed are: hop over one tile diagonally; and over two tiles horizontally and vertically. It should be possible to start anywhere in the path, the end point isn't indicated and there are no intermediate clues. Hopido Design Post Mortem contains the following:
"Big puzzles represented another problem. Up until quite late in the project our puzzle solver was painfully slow with most puzzles above 7×7 tiles. Testing the solution from each starting point could take hours. If the tile layout was changed even a little, the whole puzzle had to be tested again. We were just about to give up the biggest puzzles entirely when our programmer suddenly came up with a magical algorithm that cut the testing process down to only minutes. Hooray!"
Knowing the kindness in the heart of every contributor to Rosetta Code, I know that we shall feel that as an act of humanity we must solve these puzzles for them in let's say milliseconds.
Example:
. 0 0 . 0 0 .
0 0 0 0 0 0 0
0 0 0 0 0 0 0
. 0 0 0 0 0 .
. . 0 0 0 . .
. . . 0 . . .
Extra credits are available for other interesting designs.
Related tasks
A* search algorithm
Solve a Holy Knight's tour
Knight's tour
N-queens problem
Solve a Hidato puzzle
Solve a Holy Knight's tour
Solve a Numbrix puzzle
Solve the no connection puzzle
| #C.2B.2B | C++ |
#include <vector>
#include <sstream>
#include <iostream>
#include <iterator>
#include <stdlib.h>
#include <string.h>
using namespace std;
struct node
{
int val;
unsigned char neighbors;
};
class nSolver
{
public:
nSolver()
{
dx[0] = -2; dy[0] = -2; dx[1] = -2; dy[1] = 2;
dx[2] = 2; dy[2] = -2; dx[3] = 2; dy[3] = 2;
dx[4] = -3; dy[4] = 0; dx[5] = 3; dy[5] = 0;
dx[6] = 0; dy[6] = -3; dx[7] = 0; dy[7] = 3;
}
void solve( vector<string>& puzz, int max_wid )
{
if( puzz.size() < 1 ) return;
wid = max_wid; hei = static_cast<int>( puzz.size() ) / wid;
int len = wid * hei, c = 0; max = len;
arr = new node[len]; memset( arr, 0, len * sizeof( node ) );
for( vector<string>::iterator i = puzz.begin(); i != puzz.end(); i++ )
{
if( ( *i ) == "*" ) { max--; arr[c++].val = -1; continue; }
arr[c].val = atoi( ( *i ).c_str() );
c++;
}
solveIt(); c = 0;
for( vector<string>::iterator i = puzz.begin(); i != puzz.end(); i++ )
{
if( ( *i ) == "." )
{
ostringstream o; o << arr[c].val;
( *i ) = o.str();
}
c++;
}
delete [] arr;
}
private:
bool search( int x, int y, int w )
{
if( w > max ) return true;
node* n = &arr[x + y * wid];
n->neighbors = getNeighbors( x, y );
for( int d = 0; d < 8; d++ )
{
if( n->neighbors & ( 1 << d ) )
{
int a = x + dx[d], b = y + dy[d];
if( arr[a + b * wid].val == 0 )
{
arr[a + b * wid].val = w;
if( search( a, b, w + 1 ) ) return true;
arr[a + b * wid].val = 0;
}
}
}
return false;
}
unsigned char getNeighbors( int x, int y )
{
unsigned char c = 0; int a, b;
for( int xx = 0; xx < 8; xx++ )
{
a = x + dx[xx], b = y + dy[xx];
if( a < 0 || b < 0 || a >= wid || b >= hei ) continue;
if( arr[a + b * wid].val > -1 ) c |= ( 1 << xx );
}
return c;
}
void solveIt()
{
int x, y, z; findStart( x, y, z );
if( z == 99999 ) { cout << "\nCan't find start point!\n"; return; }
search( x, y, z + 1 );
}
void findStart( int& x, int& y, int& z )
{
for( int b = 0; b < hei; b++ )
for( int a = 0; a < wid; a++ )
if( arr[a + wid * b].val == 0 )
{
x = a; y = b; z = 1;
arr[a + wid * b].val = z;
return;
}
}
int wid, hei, max, dx[8], dy[8];
node* arr;
};
int main( int argc, char* argv[] )
{
int wid; string p;
p = "* . . * . . * . . . . . . . . . . . . . . * . . . . . * * * . . . * * * * * . * * *"; wid = 7;
istringstream iss( p ); vector<string> puzz;
copy( istream_iterator<string>( iss ), istream_iterator<string>(), back_inserter<vector<string> >( puzz ) );
nSolver s; s.solve( puzz, wid );
int c = 0;
for( vector<string>::iterator i = puzz.begin(); i != puzz.end(); i++ )
{
if( ( *i ) != "*" && ( *i ) != "." )
{
if( atoi( ( *i ).c_str() ) < 10 ) cout << "0";
cout << ( *i ) << " ";
}
else cout << " ";
if( ++c >= wid ) { cout << endl; c = 0; }
}
cout << endl << endl;
return system( "pause" );
}
|
http://rosettacode.org/wiki/Sort_an_array_of_composite_structures | Sort an array of composite structures |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Sort an array of composite structures by a key.
For example, if you define a composite structure that presents a name-value pair (in pseudo-code):
Define structure pair such that:
name as a string
value as a string
and an array of such pairs:
x: array of pairs
then define a sort routine that sorts the array x by the key name.
This task can always be accomplished with Sorting Using a Custom Comparator.
If your language is not listed here, please see the other article.
| #ARM_Assembly | ARM Assembly |
/* ARM assembly Raspberry PI */
/* program compositeSort.s */
/* REMARK 1 : this program use routines in a include file
see task Include a file language arm assembly
for the routine affichageMess conversion10
see at end of this program the instruction include */
/* for constantes see task include a file in arm assembly */
/************************************/
/* Constantes */
/************************************/
.include "../constantes.inc"
/*******************************************/
/* Structures */
/********************************************/
/* city structure */
.struct 0
city_name: @
.struct city_name + 4
city_habitants: @
.struct city_habitants + 4
city_end:
/*********************************/
/* Initialized data */
/*********************************/
.data
sMessResult: .asciz "Name : @ number habitants : @ \n"
szMessSortHab: .asciz "Sort table for number of habitants :\n"
szMessSortName: .asciz "Sort table for name of city :\n"
szCarriageReturn: .asciz "\n"
// cities name
szCeret: .asciz "Ceret"
szMaureillas: .asciz "Maureillas"
szTaillet: .asciz "Taillet"
szReynes: .asciz "Reynes"
szVives: .asciz "Vivés"
szBoulou: .asciz "Le Boulou"
szSaintJean: .asciz "Saint Jean Pla de Corts"
szCluses: .asciz "Les Cluses"
szAlbere: .asciz "L'Albère"
szPerthus: .asciz "Le Perthus"
.align 4
TableCities:
.int szCluses @ address name string
.int 251 @ number of habitants
.int szCeret
.int 7705
.int szMaureillas
.int 2596
.int szBoulou
.int 5554
.int szSaintJean
.int 2153
.int szAlbere
.int 83
.int szVives
.int 174
.int szTaillet
.int 115
.int szPerthus
.int 586
.int szReynes
.int 1354
.equ NBELEMENTS, (. - TableCities) / city_end
/*********************************/
/* UnInitialized data */
/*********************************/
.bss
sZoneConv: .skip 24
/*********************************/
/* code section */
/*********************************/
.text
.global main
main: @ entry of program
ldr r0,iAdrszMessSortHab
bl affichageMess
ldr r0,iAdrTableCities @ address city table
mov r1,#0 @ not use in routine
mov r2,#NBELEMENTS @ number of élements
mov r3,#city_habitants @ sort by number habitants
mov r4,#'N' @ Alphanumeric
bl shellSort
ldr r0,iAdrTableCities @ address number table
bl displayTable
ldr r0,iAdrszMessSortName
bl affichageMess
ldr r0,iAdrTableCities @ address city table
mov r1,#0 @ not use in routine
mov r2,#NBELEMENTS @ number of élements
mov r3,#city_name @ sort by name
mov r4,#'A' @ Alphanumeric
bl shellSort
ldr r0,iAdrTableCities @ address number table
bl displayTable
100: @ standard end of the program
mov r0, #0 @ return code
mov r7, #EXIT @ request to exit program
svc #0 @ perform the system call
iAdrszCarriageReturn: .int szCarriageReturn
iAdrsMessResult: .int sMessResult
iAdrTableCities: .int TableCities
iAdrszMessSortHab: .int szMessSortHab
iAdrszMessSortName: .int szMessSortName
/***************************************************/
/* shell Sort */
/***************************************************/
/* r0 contains the address of table */
/* r1 contains the first element but not use !! */
/* this routine use first element at index zero !!! */
/* r2 contains the number of element */
/* r3 contains the offset of sort zone */
/* r4 contains type of sort zone N = numeric A = alphanumeric */
shellSort:
push {r0-r12,lr} @ save registers
sub sp,#city_end @ reserve area on stack
mov fp,sp @ frame pointer = stack
mov r8,r3 @ save offser area sort
mov r9,r4 @ save type sort
mov r7,#city_end @ element size
//vidregtit debut
sub r12,r2,#1 @ index last item
mov r6,r12 @ init gap = last item
1: @ start loop 1
lsrs r6,#1 @ gap = gap / 2
beq 100f @ if gap = 0 -> end
mov r3,r6 @ init loop indice 1
2: @ start loop 2
mul r1,r3,r7 @ offset élement
mov r2,fp @ save on stack
bl saveElement
add r1,r8 @ + offset sort zone
ldr r4,[r0,r1] @ load first value
mov r5,r3 @ init loop indice 2
3: @ start loop 3
cmp r5,r6 @ indice < gap
blt 8f @ yes -> end loop 2
sub r10,r5,r6 @ index = indice - gap
mul r1,r10,r7 @ offset élement
add r10,r1,r8 @ + offset sort zone
ldr r2,[r0,r10] @ load second value
push {r3,r5} @ save registrars because not enought register
cmp r9,#'A' @ sort area alapha ?
beq 4f @ yes
cmp r4,r2 @ else compare numeric values
bge 7f @ highter
b 6f @ lower
4: @ compare area alphanumeric
mov r10,#0 @ counter
5:
ldrb r3,[r4,r10] @ byte string 1
ldrb r5,[r2,r10] @ byte string 2
cmp r3,r5
bgt 7f
blt 6f
cmp r3,#0 @ end string 1
beq 7f @ ens comparaison
add r10,r10,#1 @ else add 1 in counter
b 5b @ and loop
6:
pop {r3,r5} @ restaur registers
mul r2,r5,r7 @ offset élement
bl copyElement @ copy element r1 to element r2
sub r5,r6 @ indice = indice - gap
b 3b @ and loop
7:
pop {r3,r5}
8: @ end loop 3
mul r1,r5,r7 @ offset destination élement
mov r2,fp @ restaur element in table
bl restaurElement
add r3,#1 @ increment indice 1
cmp r3,r12 @ end ?
ble 2b @ no -> loop 2
b 1b @ yes loop for new gap
100: @ end function
add sp,#city_end
pop {r0-r12,lr} @ restaur registers
bx lr @ return
/******************************************************************/
/* copy table element */
/******************************************************************/
/* r0 contains the address of table */
/* r1 offset origin element */
/* r2 offset destination element */
copyElement:
push {r0-r4,lr} @ save registers
//vidregtit copy
mov r3,#0
add r1,r0
add r2,r0
1:
ldrb r4,[r1,r3]
strb r4,[r2,r3]
add r3,#1
cmp r3,#city_end
blt 1b
100:
pop {r0-r4,lr}
bx lr
/******************************************************************/
/* save element */
/******************************************************************/
/* r0 contains the address of table */
/* r1 offset origin element */
/* r2 address destination */
saveElement:
push {r0-r4,lr} @ save registers
mov r3,#0
add r1,r0
1:
ldrb r4,[r1,r3]
strb r4,[r2,r3]
add r3,#1
cmp r3,#city_end
blt 1b
100:
pop {r0-r4,lr}
bx lr
/******************************************************************/
/* restaur element */
/******************************************************************/
/* r0 contains the address of table */
/* r1 offset destination element */
/* r2 address origine */
restaurElement:
push {r0-r4,lr} @ save registers
mov r3,#0
add r1,r0
1:
ldrb r4,[r2,r3]
strb r4,[r1,r3]
add r3,#1
cmp r3,#city_end
blt 1b
100:
pop {r0-r4,lr}
bx lr
/******************************************************************/
/* Display table elements */
/******************************************************************/
/* r0 contains the address of table */
displayTable:
push {r0-r6,lr} @ save registers
mov r2,r0 @ table address
mov r3,#0
mov r6,#city_end
1: @ loop display table
mul r4,r3,r6
add r4,#city_name
ldr r1,[r2,r4]
ldr r0,iAdrsMessResult
bl strInsertAtCharInc @ put name in message
mov r5,r0 @ save address of new message
mul r4,r3,r6
add r4,#city_habitants @ and load value
ldr r0,[r2,r4]
ldr r1,iAdrsZoneConv
bl conversion10 @ call decimal conversion
mov r0,r5
ldr r1,iAdrsZoneConv @ insert conversion in message
bl strInsertAtCharInc
bl affichageMess @ display message
add r3,#1
cmp r3,#NBELEMENTS - 1
ble 1b
ldr r0,iAdrszCarriageReturn
bl affichageMess
100:
pop {r0-r6,lr}
bx lr
iAdrsZoneConv: .int sZoneConv
/***************************************************/
/* ROUTINES INCLUDE */
/***************************************************/
.include "../affichage.inc"
|
http://rosettacode.org/wiki/Sorting_algorithms/Counting_sort | Sorting algorithms/Counting sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Counting sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Task
Implement the Counting sort. This is a way of sorting integers when the minimum and maximum value are known.
Pseudocode
function countingSort(array, min, max):
count: array of (max - min + 1) elements
initialize count with 0
for each number in array do
count[number - min] := count[number - min] + 1
done
z := 0
for i from min to max do
while ( count[i - min] > 0 ) do
array[z] := i
z := z+1
count[i - min] := count[i - min] - 1
done
done
The min and max can be computed apart, or be known a priori.
Note: we know that, given an array of integers, its maximum and minimum values can be always found; but if we imagine the worst case for an array that can hold up to 32 bit integers, we see that in order to hold the counts, an array of up to 232 elements may be needed. I.E.: we need to hold a count value up to 232-1, which is a little over 4.2 Gbytes. So the counting sort is more practical when the range is (very) limited, and minimum and maximum values are known a priori. (However, as a counterexample, the use of sparse arrays minimizes the impact of the memory usage, as well as removing the need of having to know the minimum and maximum values a priori.)
| #Quackery | Quackery | [ 2dup peek 1+
unrot poke ] is [1+] ( [ n --> [ )
[ 1+ dip tuck -
rot 0 swap of
swap rot witheach
[ over +
rot swap [1+]
swap ]
negate swap
[] swap witheach
[ dip [ over i^ + ]
of join ]
nip ] is csort ( [ n n --> [ )
[] 15 times
[ 10 random 10 + join ]
dup say "Before: " echo cr
10 19 csort
say "After: " echo |
http://rosettacode.org/wiki/Sorting_algorithms/Counting_sort | Sorting algorithms/Counting sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Counting sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Task
Implement the Counting sort. This is a way of sorting integers when the minimum and maximum value are known.
Pseudocode
function countingSort(array, min, max):
count: array of (max - min + 1) elements
initialize count with 0
for each number in array do
count[number - min] := count[number - min] + 1
done
z := 0
for i from min to max do
while ( count[i - min] > 0 ) do
array[z] := i
z := z+1
count[i - min] := count[i - min] - 1
done
done
The min and max can be computed apart, or be known a priori.
Note: we know that, given an array of integers, its maximum and minimum values can be always found; but if we imagine the worst case for an array that can hold up to 32 bit integers, we see that in order to hold the counts, an array of up to 232 elements may be needed. I.E.: we need to hold a count value up to 232-1, which is a little over 4.2 Gbytes. So the counting sort is more practical when the range is (very) limited, and minimum and maximum values are known a priori. (However, as a counterexample, the use of sparse arrays minimizes the impact of the memory usage, as well as removing the need of having to know the minimum and maximum values a priori.)
| #R | R | counting_sort <- function(arr, minval, maxval) {
r <- arr
z <- 1
for(i in minval:maxval) {
cnt = sum(arr == i)
while(cnt > 0) {
r[z] = i
z <- z + 1
cnt <- cnt - 1
}
}
r
}
# 140+1 instead of 140, since random numbers generated
# by runif are always less than the given maximum;
# floor(a number at most 140.9999...) is 140
ages <- floor(runif(100, 0, 140+1))
sorted <- counting_sort(ages, 0, 140)
print(sorted) |
http://rosettacode.org/wiki/Solve_the_no_connection_puzzle | Solve the no connection puzzle | You are given a box with eight holes labelled A-to-H, connected by fifteen straight lines in the pattern as shown below:
A B
/│\ /│\
/ │ X │ \
/ │/ \│ \
C───D───E───F
\ │\ /│ /
\ │ X │ /
\│/ \│/
G H
You are also given eight pegs numbered 1-to-8.
Objective
Place the eight pegs in the holes so that the (absolute) difference between any two numbers connected by any line is greater than one.
Example
In this attempt:
4 7
/│\ /│\
/ │ X │ \
/ │/ \│ \
8───1───6───2
\ │\ /│ /
\ │ X │ /
\│/ \│/
3 5
Note that 7 and 6 are connected and have a difference of 1, so it is not a solution.
Task
Produce and show here one solution to the puzzle.
Related tasks
A* search algorithm
Solve a Holy Knight's tour
Knight's tour
N-queens problem
Solve a Hidato puzzle
Solve a Holy Knight's tour
Solve a Hopido puzzle
Solve a Numbrix puzzle
4-rings or 4-squares puzzle
See also
No Connection Puzzle (youtube).
| #ARM_Assembly | ARM Assembly |
/* ARM assembly Raspberry PI */
/* program noconnpuzzle.s */
/************************************/
/* Constantes */
/************************************/
.equ STDOUT, 1 @ Linux output console
.equ EXIT, 1 @ Linux syscall
.equ WRITE, 4 @ Linux syscall
.equ NBBOX, 8
.equ POSA, 5
/*********************************/
/* Initialized data */
/*********************************/
.data
sMessDeb: .ascii "a="
sMessValeur_a: .fill 11, 1, ' ' @ size => 11
.ascii "b="
sMessValeur_b: .fill 11, 1, ' ' @ size => 11
.ascii "c="
sMessValeur_c: .fill 11, 1, ' ' @ size => 11
.ascii "d="
sMessValeur_d: .fill 11, 1, ' ' @ size => 11
.ascii "\n"
.ascii "e="
sMessValeur_e: .fill 11, 1, ' ' @ size => 11
.ascii "f="
sMessValeur_f: .fill 11, 1, ' ' @ size => 11
.ascii "g="
sMessValeur_g: .fill 11, 1, ' ' @ size => 11
.ascii "h="
sMessValeur_h: .fill 11, 1, ' ' @ size => 11
szCarriageReturn: .asciz "\n************************\n"
szMessLine1: .asciz " \n"
szMessLine2: .asciz " /|\\ /|\\ \n"
szMessLine3: .asciz " / | X | \\ \n"
szMessLine4: .asciz " / |/ \\| \\ \n"
szMessLine5: .asciz " - - | - \n"
szMessLine6: .asciz " \\ |\\ /| / \n"
szMessLine7: .asciz " \\ | X | / \n"
szMessLine8: .asciz " \\|/ \\|/ \n"
/*********************************/
/* UnInitialized data */
/*********************************/
.bss
.align 4
iValues_a: .skip 4 * NBBOX
iValues_b: .skip 4 * NBBOX - 1
iValues_c: .skip 4 * NBBOX - 2
iValues_d: .skip 4 * NBBOX - 3
iValues_e: .skip 4 * NBBOX - 4
iValues_f: .skip 4 * NBBOX - 5
iValues_g: .skip 4 * NBBOX - 6
iValues_h: .skip 4 * NBBOX - 7
sConvValue: .skip 12
/*********************************/
/* code section */
/*********************************/
.text
.global main
main: @ entry of program
mov r0,#1
mov r1,#8
bl searchPb
100: @ standard end of the program
mov r0, #0 @ return code
mov r7, #EXIT @ request to exit program
svc #0 @ perform the system call
iAdrszCarriageReturn: .int szCarriageReturn
/******************************************************************/
/* search problem unique solution */
/******************************************************************/
/* r0 contains start digit */
/* r1 contains end digit */
searchPb:
push {r0-r12,lr} @ save registers
@ init
ldr r3,iAdriValues_a @ area value a
mov r4,#0
1: @ loop init value a
str r0,[r3,r4,lsl #2]
add r4,#1
add r0,#1
cmp r0,r1
ble 1b
mov r12,#-1
2:
add r12,#1 @ increment indice a
cmp r12,#NBBOX-1
bgt 90f
ldr r0,iAdriValues_a @ area value a
ldr r1,iAdriValues_b @ area value b
mov r2,r12 @ indice a
mov r3,#NBBOX @ number of origin values
bl prepValues
mov r11,#-1
3:
add r11,#1 @ increment indice b
cmp r11,#NBBOX - 2
bgt 2b
ldr r0,iAdriValues_b @ area value b
ldr r1,iAdriValues_c @ area value c
mov r2,r11 @ indice b
mov r3,#NBBOX -1 @ number of origin values
bl prepValues
mov r10,#-1
4:
add r10,#1
cmp r10,#NBBOX - 3
bgt 3b
ldr r0,iAdriValues_a
ldr r0,[r0,r12,lsl #2]
ldr r1,iAdriValues_c
ldr r1,[r1,r10,lsl #2]
subs r2,r1,r0
mvnlt r2,r2
addlt r2,#1
cmp r2,#1
beq 4b
ldr r0,iAdriValues_c
ldr r1,iAdriValues_d
mov r2,r10
mov r3,#NBBOX - 2
bl prepValues
mov r9,#-1
5:
add r9,#1
cmp r9,#NBBOX - 4
bgt 4b
@ control d / a b c
ldr r0,iAdriValues_d
ldr r0,[r0,r9,lsl #2]
ldr r1,iAdriValues_a
ldr r1,[r1,r12,lsl #2]
subs r2,r1,r0
mvnlt r2,r2
addlt r2,#1
cmp r2,#1
beq 5b
ldr r1,iAdriValues_b
ldr r1,[r1,r11,lsl #2]
subs r2,r1,r0
mvnlt r2,r2
addlt r2,#1
cmp r2,#1
beq 5b
ldr r1,iAdriValues_c
ldr r1,[r1,r10,lsl #2]
subs r2,r1,r0
mvnlt r2,r2
addlt r2,#1
cmp r2,#1
beq 5b
ldr r0,iAdriValues_d
ldr r1,iAdriValues_e
mov r2,r9
mov r3,#NBBOX - 3
bl prepValues
mov r8,#-1
6:
add r8,#1
cmp r8,#NBBOX - 5
bgt 5b
@ control e / a b d
ldr r0,iAdriValues_e
ldr r0,[r0,r8,lsl #2]
ldr r1,iAdriValues_a
ldr r1,[r1,r12,lsl #2]
subs r2,r1,r0
mvnlt r2,r2
addlt r2,#1
cmp r2,#1
beq 6b
ldr r1,iAdriValues_b
ldr r1,[r1,r11,lsl #2]
subs r2,r1,r0
mvnlt r2,r2
addlt r2,#1
cmp r2,#1
beq 6b
ldr r1,iAdriValues_d
ldr r1,[r1,r9,lsl #2]
subs r2,r1,r0
mvnlt r2,r2
addlt r2,#1
cmp r2,#1
beq 6b
ldr r0,iAdriValues_e
ldr r1,iAdriValues_f
mov r2,r8
mov r3,#NBBOX - 4
bl prepValues
mov r7,#-1
7:
add r7,#1
cmp r7,#NBBOX - 6
bgt 6b
@ control f / b e
ldr r0,iAdriValues_f
ldr r0,[r0,r7,lsl #2]
ldr r1,iAdriValues_b
ldr r1,[r1,r11,lsl #2]
subs r2,r1,r0
mvnlt r2,r2
addlt r2,#1
cmp r2,#1
beq 7b
ldr r1,iAdriValues_e
ldr r1,[r1,r8,lsl #2]
subs r2,r1,r0
mvnlt r2,r2
addlt r2,#1
cmp r2,#1
beq 7b
ldr r0,iAdriValues_f
ldr r1,iAdriValues_g
mov r2,r7
mov r3,#NBBOX - 5
bl prepValues
mov r6,#-1
8:
add r6,#1
cmp r6,#NBBOX - 7
bgt 7b
@ control g / c d e
ldr r0,iAdriValues_g
ldr r0,[r0,r6,lsl #2]
ldr r1,iAdriValues_c
ldr r1,[r1,r10,lsl #2]
subs r2,r1,r0
mvnlt r2,r2
addlt r2,#1
cmp r2,#1
beq 8b
ldr r1,iAdriValues_d
ldr r1,[r1,r9,lsl #2]
subs r2,r1,r0
mvnlt r2,r2
addlt r2,#1
cmp r2,#1
beq 8b
ldr r1,iAdriValues_e
ldr r1,[r1,r8,lsl #2]
subs r2,r1,r0
mvnlt r2,r2
addlt r2,#1
cmp r2,#1
beq 8b
ldr r0,iAdriValues_g
ldr r1,iAdriValues_h
mov r2,r6
mov r3,#NBBOX - 6
bl prepValues
mov r5,#-1
9:
add r5,#1
cmp r5,#NBBOX - 8
bgt 8b
@ control h / d e f
ldr r0,iAdriValues_h
ldr r0,[r0,r5,lsl #2]
ldr r1,iAdriValues_d
ldr r1,[r1,r9,lsl #2]
subs r2,r1,r0
mvnlt r2,r2
addlt r2,#1
cmp r2,#1
beq 9b
ldr r1,iAdriValues_e
ldr r1,[r1,r8,lsl #2]
subs r2,r1,r0
mvnlt r2,r2
addlt r2,#1
cmp r2,#1
beq 9b
ldr r1,iAdriValues_f
ldr r1,[r1,r7,lsl #2]
subs r2,r1,r0
mvnlt r2,r2
addlt r2,#1
cmp r2,#1
beq 9b
@ solution ok display text
ldr r0,iAdriValues_a
ldr r0,[r0,r12,lsl #2]
ldr r1,iAdrsMessValeur_a
bl conversion10
ldr r0,iAdriValues_b
ldr r0,[r0,r11,lsl #2]
ldr r1,iAdrsMessValeur_b
bl conversion10
ldr r0,iAdriValues_c
ldr r0,[r0,r10,lsl #2]
ldr r1,iAdrsMessValeur_c
bl conversion10
ldr r0,iAdriValues_d
ldr r0,[r0,r9,lsl #2]
ldr r1,iAdrsMessValeur_d
bl conversion10
ldr r0,iAdriValues_e
ldr r0,[r0,r8,lsl #2]
ldr r1,iAdrsMessValeur_e
bl conversion10
ldr r0,iAdriValues_f
ldr r0,[r0,r7,lsl #2]
ldr r1,iAdrsMessValeur_f
bl conversion10
ldr r0,iAdriValues_g
ldr r0,[r0,r6,lsl #2]
ldr r1,iAdrsMessValeur_g
bl conversion10
ldr r0,iAdriValues_h
ldr r0,[r0,r5,lsl #2]
ldr r1,iAdrsMessValeur_h
bl conversion10
ldr r0,iAdrsMessDeb
bl affichageMess
@ display design
ldr r0,iAdriValues_a
ldr r0,[r0,r12,lsl #2]
ldr r1,iAdrsConvValue
bl conversion10
ldrb r2,[r1]
ldr r0,iAdrszMessLine1
strb r2,[r0,#POSA]
ldr r0,iAdriValues_b
ldr r0,[r0,r11,lsl #2]
ldr r1,iAdrsConvValue
bl conversion10
ldrb r2,[r1]
ldr r0,iAdrszMessLine1
strb r2,[r0,#POSA+4]
bl affichageMess
ldr r0,iAdrszMessLine2
bl affichageMess
ldr r0,iAdrszMessLine3
bl affichageMess
ldr r0,iAdrszMessLine4
bl affichageMess
ldr r0,iAdriValues_c
ldr r0,[r0,r10,lsl #2]
ldr r1,iAdrsConvValue
bl conversion10
ldrb r2,[r1]
ldr r0,iAdrszMessLine5
strb r2,[r0,#POSA-4]
ldr r0,iAdriValues_d
ldr r0,[r0,r9,lsl #2]
ldr r1,iAdrsConvValue
bl conversion10
ldrb r2,[r1]
ldr r0,iAdrszMessLine5
strb r2,[r0,#POSA]
ldr r0,iAdriValues_e
ldr r0,[r0,r8,lsl #2]
ldr r1,iAdrsConvValue
bl conversion10
ldrb r2,[r1]
ldr r0,iAdrszMessLine5
strb r2,[r0,#POSA+4]
ldr r0,iAdriValues_f
ldr r0,[r0,r7,lsl #2]
ldr r1,iAdrsConvValue
bl conversion10
ldrb r2,[r1]
ldr r0,iAdrszMessLine5
strb r2,[r0,#POSA+8]
bl affichageMess
ldr r0,iAdrszMessLine6
bl affichageMess
ldr r0,iAdrszMessLine7
bl affichageMess
ldr r0,iAdrszMessLine8
bl affichageMess
ldr r0,iAdriValues_g
ldr r0,[r0,r6,lsl #2]
ldr r1,iAdrsConvValue
bl conversion10
ldrb r2,[r1]
ldr r0,iAdrszMessLine1
strb r2,[r0,#POSA]
ldr r0,iAdriValues_h
ldr r0,[r0,r5,lsl #2]
ldr r1,iAdrsConvValue
bl conversion10
ldrb r2,[r1]
ldr r0,iAdrszMessLine1
strb r2,[r0,#POSA+4]
bl affichageMess
//b 9b @ loop for other solution
90:
100:
pop {r0-r12,lr} @ restaur registers
bx lr @return
iAdriValues_a: .int iValues_a
iAdriValues_b: .int iValues_b
iAdriValues_c: .int iValues_c
iAdriValues_d: .int iValues_d
iAdriValues_e: .int iValues_e
iAdriValues_f: .int iValues_f
iAdriValues_g: .int iValues_g
iAdriValues_h: .int iValues_h
iAdrsMessValeur_a: .int sMessValeur_a
iAdrsMessValeur_b: .int sMessValeur_b
iAdrsMessValeur_c: .int sMessValeur_c
iAdrsMessValeur_d: .int sMessValeur_d
iAdrsMessValeur_e: .int sMessValeur_e
iAdrsMessValeur_f: .int sMessValeur_f
iAdrsMessValeur_g: .int sMessValeur_g
iAdrsMessValeur_h: .int sMessValeur_h
iAdrsMessDeb: .int sMessDeb
iAdrsConvValue: .int sConvValue
iAdrszMessLine1: .int szMessLine1
iAdrszMessLine2: .int szMessLine2
iAdrszMessLine3: .int szMessLine3
iAdrszMessLine4: .int szMessLine4
iAdrszMessLine5: .int szMessLine5
iAdrszMessLine6: .int szMessLine6
iAdrszMessLine7: .int szMessLine7
iAdrszMessLine8: .int szMessLine8
/******************************************************************/
/* copy value area and substract value of indice */
/******************************************************************/
/* r0 contains the address of values origin */
/* r1 contains the address of values destination */
/* r2 contains value indice to substract */
/* r3 contains origin values number */
prepValues:
push {r1-r6,lr} @ save registres
mov r4,#0 @ indice origin value
mov r5,#0 @ indice destination value
1:
cmp r4,r2 @ substract indice ?
beq 2f @ yes -> jump
ldr r6,[r0,r4,lsl #2] @ no -> copy value
str r6,[r1,r5,lsl #2]
add r5,#1 @ increment destination indice
2:
add r4,#1 @ increment origin indice
cmp r4,r3 @ end ?
blt 1b
100:
pop {r1-r6,lr} @ restaur registres
bx lr @return
/******************************************************************/
/* display text with size calculation */
/******************************************************************/
/* r0 contains the address of the message */
affichageMess:
push {r0,r1,r2,r7,lr} @ save registres
mov r2,#0 @ counter length
1: @ loop length calculation
ldrb r1,[r0,r2] @ read octet start position + index
cmp r1,#0 @ if 0 its over
addne r2,r2,#1 @ else add 1 in the length
bne 1b @ and loop
@ so here r2 contains the length of the message
mov r1,r0 @ address message in r1
mov r0,#STDOUT @ code to write to the standard output Linux
mov r7, #WRITE @ code call system "write"
svc #0 @ call systeme
pop {r0,r1,r2,r7,lr} @ restaur des 2 registres */
bx lr @ return
/******************************************************************/
/* Converting a register to a decimal unsigned */
/******************************************************************/
/* r0 contains value and r1 address area */
/* r0 return size of result (no zero final in area) */
/* area size => 11 bytes */
.equ LGZONECAL, 10
conversion10:
push {r1-r4,lr} @ save registers
mov r3,r1
mov r2,#LGZONECAL
1: @ start loop
bl divisionpar10U @ unsigned r0 <- dividende. quotient ->r0 reste -> r1
add r1,#48 @ digit
strb r1,[r3,r2] @ store digit on area
cmp r0,#0 @ stop if quotient = 0
subne r2,#1 @ else previous position
bne 1b @ and loop
@ and move digit from left of area
mov r4,#0
2:
ldrb r1,[r3,r2]
strb r1,[r3,r4]
add r2,#1
add r4,#1
cmp r2,#LGZONECAL
ble 2b
@ and move spaces in end on area
mov r0,r4 @ result length
mov r1,#' ' @ space
3:
strb r1,[r3,r4] @ store space in area
add r4,#1 @ next position
cmp r4,#LGZONECAL
ble 3b @ loop if r4 <= area size
100:
pop {r1-r4,lr} @ restaur registres
bx lr @return
/***************************************************/
/* division par 10 unsigned */
/***************************************************/
/* r0 dividende */
/* r0 quotient */
/* r1 remainder */
divisionpar10U:
push {r2,r3,r4, lr}
mov r4,r0 @ save value
ldr r3,iMagicNumber @ r3 <- magic_number raspberry 1 2
umull r1, r2, r3, r0 @ r1<- Lower32Bits(r1*r0) r2<- Upper32Bits(r1*r0)
mov r0, r2, LSR #3 @ r2 <- r2 >> shift 3
add r2,r0,r0, lsl #2 @ r2 <- r0 * 5
sub r1,r4,r2, lsl #1 @ r1 <- r4 - (r2 * 2) = r4 - (r0 * 10)
pop {r2,r3,r4,lr}
bx lr @ leave function
iMagicNumber: .int 0xCCCCCCCD
|
http://rosettacode.org/wiki/Solve_a_Numbrix_puzzle | Solve a Numbrix puzzle | Numbrix puzzles are similar to Hidato.
The most important difference is that it is only possible to move 1 node left, right, up, or down (sometimes referred to as the Von Neumann neighborhood).
Published puzzles also tend not to have holes in the grid and may not always indicate the end node.
Two examples follow:
Example 1
Problem.
0 0 0 0 0 0 0 0 0
0 0 46 45 0 55 74 0 0
0 38 0 0 43 0 0 78 0
0 35 0 0 0 0 0 71 0
0 0 33 0 0 0 59 0 0
0 17 0 0 0 0 0 67 0
0 18 0 0 11 0 0 64 0
0 0 24 21 0 1 2 0 0
0 0 0 0 0 0 0 0 0
Solution.
49 50 51 52 53 54 75 76 81
48 47 46 45 44 55 74 77 80
37 38 39 40 43 56 73 78 79
36 35 34 41 42 57 72 71 70
31 32 33 14 13 58 59 68 69
30 17 16 15 12 61 60 67 66
29 18 19 20 11 62 63 64 65
28 25 24 21 10 1 2 3 4
27 26 23 22 9 8 7 6 5
Example 2
Problem.
0 0 0 0 0 0 0 0 0
0 11 12 15 18 21 62 61 0
0 6 0 0 0 0 0 60 0
0 33 0 0 0 0 0 57 0
0 32 0 0 0 0 0 56 0
0 37 0 1 0 0 0 73 0
0 38 0 0 0 0 0 72 0
0 43 44 47 48 51 76 77 0
0 0 0 0 0 0 0 0 0
Solution.
9 10 13 14 19 20 63 64 65
8 11 12 15 18 21 62 61 66
7 6 5 16 17 22 59 60 67
34 33 4 3 24 23 58 57 68
35 32 31 2 25 54 55 56 69
36 37 30 1 26 53 74 73 70
39 38 29 28 27 52 75 72 71
40 43 44 47 48 51 76 77 78
41 42 45 46 49 50 81 80 79
Task
Write a program to solve puzzles of this ilk,
demonstrating your program by solving the above examples.
Extra credit for other interesting examples.
Related tasks
A* search algorithm
Solve a Holy Knight's tour
Knight's tour
N-queens problem
Solve a Hidato puzzle
Solve a Holy Knight's tour
Solve a Hopido puzzle
Solve the no connection puzzle
| #Icon_and_Unicon | Icon and Unicon | global nCells, cMap, best
record Pos(r,c)
procedure main(A)
puzzle := showPuzzle("Input",readPuzzle())
QMouse(puzzle,findStart(puzzle),&null,0)
showPuzzle("Output", solvePuzzle(puzzle)) | write("No solution!")
end
procedure readPuzzle()
# Start with a reduced puzzle space
p := []
nCells := maxCols := 0
every line := !&input do {
put(p,[: gencells(line) :])
maxCols <:= *p[-1]
}
# Now normalize all rows to the same length
every i := 1 to *p do p[i] := [: !p[i] | (|-1\(maxCols - *p[i])) :]
return p
end
procedure gencells(s)
static WS, NWS
initial {
NWS := ~(WS := " \t")
cMap := table() # Map to/from internal model
cMap["_"] := 0; cMap[0] := "_"
}
s ? while not pos(0) do {
w := (tab(many(WS))|"", tab(many(NWS))) | break
w := numeric(\cMap[w]|w)
if -1 ~= w then nCells +:= 1
suspend w
}
end
procedure showPuzzle(label, p)
write(label," with ",nCells," cells:")
every r := !p do {
every c := !r do writes(right((\cMap[c]|c),*nCells+1))
write()
}
return p
end
procedure findStart(p)
if \p[r := !*p][c := !*p[r]] = 1 then return Pos(r,c)
end
procedure solvePuzzle(puzzle)
if path := \best then {
repeat {
loc := path.getLoc()
puzzle[loc.r][loc.c] := path.getVal()
path := \path.getParent() | break
}
return puzzle
}
end
class QMouse(puzzle, loc, parent, val)
method getVal(); return val; end
method getLoc(); return loc; end
method getParent(); return parent; end
method atEnd(); return (nCells = val, puzzle[loc.r,loc.c] = (val|0)); end
method visit(r,c); return (/best, validPos(r,c), Pos(r,c)); end
method validPos(r,c)
v := val+1 # number we're looking for
xv := puzzle[r,c] | fail
if (xv ~= 0) & (xv != v) then fail
if xv = (0|v) then {
ancestor := self
while xl := (ancestor := \ancestor.getParent()).getLoc() do
if (xl.r = r) & (xl.c = c) then fail
return
}
end
initially
val := val+1
if atEnd() then return best := self
QMouse(puzzle, visit(loc.r-1,loc.c) , self, val) # North
QMouse(puzzle, visit(loc.r, loc.c+1), self, val) # East
QMouse(puzzle, visit(loc.r+1,loc.c), self, val) # South
QMouse(puzzle, visit(loc.r, loc.c-1), self, val) # West
end |
http://rosettacode.org/wiki/Sort_an_integer_array | Sort an integer array |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Sort an array (or list) of integers in ascending numerical order.
Use a sorting facility provided by the language/library if possible.
| #Beads | Beads | beads 1 program 'Sort an integer array'
calc main_init
var arr = [4, 1, 2, -1, 3, 0, 2]
var newarr : array of num
loop across:arr sort:val count:c val:v
newarr[c] = v |
http://rosettacode.org/wiki/Sort_an_integer_array | Sort an integer array |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Sort an array (or list) of integers in ascending numerical order.
Use a sorting facility provided by the language/library if possible.
| #Befunge | Befunge | v
> 543** > :#v_ $&> :#v_ 1 > :0g > :#v_ $ 1+: 543** `! #v_ 25*,@
^-1p0\0:< ^-1 p0\+1 g0:&< ^-1\.:\<
^ < |
http://rosettacode.org/wiki/Sort_a_list_of_object_identifiers | Sort a list of object identifiers |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Object identifiers (OID)
Task
Show how to sort a list of OIDs, in their natural sort order.
Details
An OID consists of one or more non-negative integers in base 10, separated by dots. It starts and ends with a number.
Their natural sort order is lexicographical with regard to the dot-separated fields, using numeric comparison between fields.
Test case
Input (list of strings)
Output (list of strings)
1.3.6.1.4.1.11.2.17.19.3.4.0.10
1.3.6.1.4.1.11.2.17.5.2.0.79
1.3.6.1.4.1.11.2.17.19.3.4.0.4
1.3.6.1.4.1.11150.3.4.0.1
1.3.6.1.4.1.11.2.17.19.3.4.0.1
1.3.6.1.4.1.11150.3.4.0
1.3.6.1.4.1.11.2.17.5.2.0.79
1.3.6.1.4.1.11.2.17.19.3.4.0.1
1.3.6.1.4.1.11.2.17.19.3.4.0.4
1.3.6.1.4.1.11.2.17.19.3.4.0.10
1.3.6.1.4.1.11150.3.4.0
1.3.6.1.4.1.11150.3.4.0.1
Related tasks
Natural sorting
Sort using a custom comparator
| #Common_Lisp | Common Lisp | (defun oid->list (oid)
(loop for start = 0 then (1+ pos)
for pos = (position #\. oid :start start)
collect (parse-integer oid :start start :end pos)
while pos))
(defun list< (list1 list2)
(loop for e1 in list1
for e2 in list2
do (cond ((< e1 e2)
(return t))
((> e1 e2)
(return nil)))
finally (return (< (length list1) (length list2)))))
(defun sort-oids (oids)
(sort oids #'list< :key #'oid->list))
(defun main ()
(let ((oids (list "1.3.6.1.4.1.11.2.17.19.3.4.0.10"
"1.3.6.1.4.1.11.2.17.5.2.0.79"
"1.3.6.1.4.1.11.2.17.19.3.4.0.4"
"1.3.6.1.4.1.11150.3.4.0.1"
"1.3.6.1.4.1.11.2.17.19.3.4.0.1"
"1.3.6.1.4.1.11150.3.4.0")))
(dolist (oid (sort-oids oids))
(write-line oid)))) |
http://rosettacode.org/wiki/Sort_a_list_of_object_identifiers | Sort a list of object identifiers |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Object identifiers (OID)
Task
Show how to sort a list of OIDs, in their natural sort order.
Details
An OID consists of one or more non-negative integers in base 10, separated by dots. It starts and ends with a number.
Their natural sort order is lexicographical with regard to the dot-separated fields, using numeric comparison between fields.
Test case
Input (list of strings)
Output (list of strings)
1.3.6.1.4.1.11.2.17.19.3.4.0.10
1.3.6.1.4.1.11.2.17.5.2.0.79
1.3.6.1.4.1.11.2.17.19.3.4.0.4
1.3.6.1.4.1.11150.3.4.0.1
1.3.6.1.4.1.11.2.17.19.3.4.0.1
1.3.6.1.4.1.11150.3.4.0
1.3.6.1.4.1.11.2.17.5.2.0.79
1.3.6.1.4.1.11.2.17.19.3.4.0.1
1.3.6.1.4.1.11.2.17.19.3.4.0.4
1.3.6.1.4.1.11.2.17.19.3.4.0.10
1.3.6.1.4.1.11150.3.4.0
1.3.6.1.4.1.11150.3.4.0.1
Related tasks
Natural sorting
Sort using a custom comparator
| #Elixir | Elixir | defmodule Sort_by_OID do
def numbers(list) do
Enum.sort_by(list, fn oid ->
String.split(oid, ".") |> Enum.map(&String.to_integer/1)
end)
end
end
~w[
1.3.6.1.4.1.11.2.17.19.3.4.0.10
1.3.6.1.4.1.11.2.17.5.2.0.79
1.3.6.1.4.1.11.2.17.19.3.4.0.4
1.3.6.1.4.1.11150.3.4.0.1
1.3.6.1.4.1.11.2.17.19.3.4.0.1
1.3.6.1.4.1.11150.3.4.0
]
|> Sort_by_OID.numbers
|> Enum.each(fn oid -> IO.puts oid end) |
http://rosettacode.org/wiki/Sort_disjoint_sublist | Sort disjoint sublist |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Given a list of values and a set of integer indices into that value list, the task is to sort the values at the given indices, while preserving the values at indices outside the set of those to be sorted.
Make your example work with the following list of values and set of indices:
Values: [7, 6, 5, 4, 3, 2, 1, 0]
Indices: {6, 1, 7}
Where the correct result would be:
[7, 0, 5, 4, 3, 2, 1, 6].
In case of one-based indexing, rather than the zero-based indexing above, you would use the indices {7, 2, 8} instead.
The indices are described as a set rather than a list but any collection-type of those indices without duplication may be used as long as the example is insensitive to the order of indices given.
Cf.
Order disjoint list items
| #Erlang | Erlang |
-module( sort_disjoint ).
-export( [sublist/2, task/0] ).
sublist( Values, Indices ) ->
Sorted_indices = lists:sort( Indices ),
Values_indexes = lists:seq( 1, erlang:length(Values) ),
{[], [], Indices_values} = lists:foldl( fun indices_values/2, {Values, Sorted_indices, []}, Values_indexes ),
Sorted_indices_values = lists:zip( Sorted_indices, lists:sort(Indices_values) ),
{Sorted_values, {[], []}} = lists:mapfoldl( fun merge/2, {Values, Sorted_indices_values}, Values_indexes ),
Sorted_values.
task() -> sublist( [7, 6, 5, 4, 3, 2, 1, 0], [7, 2, 8] ).
indices_values( Index, {[H | Values], [Index | Indices], Indices_values} ) -> {Values, Indices, [H | Indices_values]};
indices_values( _Index, {[_H | Values], Indices, Indices_values} ) -> {Values, Indices, Indices_values}.
merge( Index, {[_H | Values], [{Index, Value} | Sorted_indices_values]} ) -> {Value, {Values, Sorted_indices_values}};
merge( _Index, {[H | Values], Sorted_indices_values} ) -> {H, {Values, Sorted_indices_values}}.
|
http://rosettacode.org/wiki/Sort_stability | Sort stability |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
When sorting records in a table by a particular column or field, a stable sort will always retain the relative order of records that have the same key.
Example
In this table of countries and cities, a stable sort on the second column, the cities, would keep the US Birmingham above the UK Birmingham.
(Although an unstable sort might, in this case, place the US Birmingham above the UK Birmingham, a stable sort routine would guarantee it).
UK London
US New York
US Birmingham
UK Birmingham
Similarly, stable sorting on just the first column would generate UK London as the first item and US Birmingham as the last item (since the order of the elements having the same first word – UK or US – would be maintained).
Task
Examine the documentation on any in-built sort routines supplied by a language.
Indicate if an in-built routine is supplied
If supplied, indicate whether or not the in-built routine is stable.
(This Wikipedia table shows the stability of some common sort routines).
| #OpenEdge.2FProgress | OpenEdge/Progress | DEFINE TEMP-TABLE tt
FIELD country AS CHAR FORMAT 'x(2)'
FIELD city AS CHAR FORMAT 'x(16)'
.
DEFINE VARIABLE cc AS CHARACTER EXTENT 2.
CREATE tt. ASSIGN tt.country = 'UK' tt.city = 'London'.
CREATE tt. ASSIGN tt.country = 'US' tt.city = 'New York'.
CREATE tt. ASSIGN tt.country = 'US' tt.city = 'Birmingham'.
CREATE tt. ASSIGN tt.country = 'UK' tt.city = 'Birmingham'.
cc[1] = 'by country~n~n'.
FOR EACH tt BY tt.country BY ROWID( tt ):
cc[1] = cc[1] + tt.country + '~t' + tt.city + '~n'.
END.
cc[2] = 'by city~n~n'.
FOR EACH tt BY tt.city BY ROWID( tt ):
cc[2] = cc[2] + tt.country + '~t' + tt.city + '~n'.
END.
MESSAGE
cc[1] SKIP(1) cc[2]
VIEW-AS ALERT-BOX. |
http://rosettacode.org/wiki/Sort_stability | Sort stability |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
When sorting records in a table by a particular column or field, a stable sort will always retain the relative order of records that have the same key.
Example
In this table of countries and cities, a stable sort on the second column, the cities, would keep the US Birmingham above the UK Birmingham.
(Although an unstable sort might, in this case, place the US Birmingham above the UK Birmingham, a stable sort routine would guarantee it).
UK London
US New York
US Birmingham
UK Birmingham
Similarly, stable sorting on just the first column would generate UK London as the first item and US Birmingham as the last item (since the order of the elements having the same first word – UK or US – would be maintained).
Task
Examine the documentation on any in-built sort routines supplied by a language.
Indicate if an in-built routine is supplied
If supplied, indicate whether or not the in-built routine is stable.
(This Wikipedia table shows the stability of some common sort routines).
| #Oz | Oz | declare
Cities = ['UK'#'London'
'US'#'New York'
'US'#'Birmingham'
'UK'#'Birmingham']
in
%% sort by city; stable because '=<' is reflexiv
{Show {Sort Cities fun {$ A B} A.2 =< B.2 end}}
%% sort by country; NOT stable because '<' is not reflexiv
{Show {Sort Cities fun {$ A B} A.1 < B.1 end}} |
http://rosettacode.org/wiki/Sort_three_variables | Sort three variables |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Sort (the values of) three variables (X, Y, and Z) that contain any value (numbers and/or literals).
If that isn't possible in your language, then just sort numbers (and note if they can be floating point, integer, or other).
I.E.: (for the three variables x, y, and z), where:
x = 'lions, tigers, and'
y = 'bears, oh my!'
z = '(from the "Wizard of OZ")'
After sorting, the three variables would hold:
x = '(from the "Wizard of OZ")'
y = 'bears, oh my!'
z = 'lions, tigers, and'
For numeric value sorting, use:
I.E.: (for the three variables x, y, and z), where:
x = 77444
y = -12
z = 0
After sorting, the three variables would hold:
x = -12
y = 0
z = 77444
The variables should contain some form of a number, but specify if the algorithm
used can be for floating point or integers. Note any limitations.
The values may or may not be unique.
The method used for sorting can be any algorithm; the goal is to use the most idiomatic in the computer programming language used.
More than one algorithm could be shown if one isn't clearly the better choice.
One algorithm could be:
• store the three variables x, y, and z
into an array (or a list) A
• sort (the three elements of) the array A
• extract the three elements from the array and place them in the
variables x, y, and z in order of extraction
Another algorithm (only for numeric values):
x= 77444
y= -12
z= 0
low= x
mid= y
high= z
x= min(low, mid, high) /*determine the lowest value of X,Y,Z. */
z= max(low, mid, high) /* " " highest " " " " " */
y= low + mid + high - x - z /* " " middle " " " " " */
Show the results of the sort here on this page using at least the values of those shown above.
| #Mathematica.2FWolfram_Language | Mathematica/Wolfram Language | {x, y, z} = Sort[{x, y, z}] |
http://rosettacode.org/wiki/Sort_three_variables | Sort three variables |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Sort (the values of) three variables (X, Y, and Z) that contain any value (numbers and/or literals).
If that isn't possible in your language, then just sort numbers (and note if they can be floating point, integer, or other).
I.E.: (for the three variables x, y, and z), where:
x = 'lions, tigers, and'
y = 'bears, oh my!'
z = '(from the "Wizard of OZ")'
After sorting, the three variables would hold:
x = '(from the "Wizard of OZ")'
y = 'bears, oh my!'
z = 'lions, tigers, and'
For numeric value sorting, use:
I.E.: (for the three variables x, y, and z), where:
x = 77444
y = -12
z = 0
After sorting, the three variables would hold:
x = -12
y = 0
z = 77444
The variables should contain some form of a number, but specify if the algorithm
used can be for floating point or integers. Note any limitations.
The values may or may not be unique.
The method used for sorting can be any algorithm; the goal is to use the most idiomatic in the computer programming language used.
More than one algorithm could be shown if one isn't clearly the better choice.
One algorithm could be:
• store the three variables x, y, and z
into an array (or a list) A
• sort (the three elements of) the array A
• extract the three elements from the array and place them in the
variables x, y, and z in order of extraction
Another algorithm (only for numeric values):
x= 77444
y= -12
z= 0
low= x
mid= y
high= z
x= min(low, mid, high) /*determine the lowest value of X,Y,Z. */
z= max(low, mid, high) /* " " highest " " " " " */
y= low + mid + high - x - z /* " " middle " " " " " */
Show the results of the sort here on this page using at least the values of those shown above.
| #min | min | (=c =b =a (a -> b -> c ->) => '> sort -> c @ b @ a @) :sort3
"lions, tigers, and" :x
"bears, oh my!" :y
"(from the \"Wizard of OZ\")" :z
'x 'y 'z sort3
x puts!
y puts!
z puts!
77444 :x
-12 :y
0 :z
'x 'y 'z sort3
x puts!
y puts!
z puts! |
http://rosettacode.org/wiki/Sort_using_a_custom_comparator | Sort using a custom comparator |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Sort an array (or list) of strings in order of descending length, and in ascending lexicographic order for strings of equal length.
Use a sorting facility provided by the language/library, combined with your own callback comparison function.
Note: Lexicographic order is case-insensitive.
| #Haskell | Haskell | import Data.Char (toLower)
import Data.List (sortBy)
import Data.Ord (comparing)
-------------------- CUSTOM COMPARATORS ------------------
lengthThenAZ :: String -> String -> Ordering
lengthThenAZ = comparing length <> comparing (fmap toLower)
descLengthThenAZ :: String -> String -> Ordering
descLengthThenAZ =
flip (comparing length)
<> comparing (fmap toLower)
--------------------------- TEST -------------------------
main :: IO ()
main =
mapM_
putStrLn
( fmap
unlines
( [sortBy] <*> [lengthThenAZ, descLengthThenAZ]
<*> [ [ "Here",
"are",
"some",
"sample",
"strings",
"to",
"be",
"sorted"
]
]
)
) |
http://rosettacode.org/wiki/Sorting_algorithms/Comb_sort | Sorting algorithms/Comb sort | Sorting algorithms/Comb sort
You are encouraged to solve this task according to the task description, using any language you may know.
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Implement a comb sort.
The Comb Sort is a variant of the Bubble Sort.
Like the Shell sort, the Comb Sort increases the gap used in comparisons and exchanges.
Dividing the gap by
(
1
−
e
−
φ
)
−
1
≈
1.247330950103979
{\displaystyle (1-e^{-\varphi })^{-1}\approx 1.247330950103979}
works best, but 1.3 may be more practical.
Some implementations use the insertion sort once the gap is less than a certain amount.
Also see
the Wikipedia article: Comb sort.
Variants:
Combsort11 makes sure the gap ends in (11, 8, 6, 4, 3, 2, 1), which is significantly faster than the other two possible endings.
Combsort with different endings changes to a more efficient sort when the data is almost sorted (when the gap is small). Comb sort with a low gap isn't much better than the Bubble Sort.
Pseudocode:
function combsort(array input)
gap := input.size //initialize gap size
loop until gap = 1 and swaps = 0
//update the gap value for a next comb. Below is an example
gap := int(gap / 1.25)
if gap < 1
//minimum gap is 1
gap := 1
end if
i := 0
swaps := 0 //see Bubble Sort for an explanation
//a single "comb" over the input list
loop until i + gap >= input.size //see Shell sort for similar idea
if input[i] > input[i+gap]
swap(input[i], input[i+gap])
swaps := 1 // Flag a swap has occurred, so the
// list is not guaranteed sorted
end if
i := i + 1
end loop
end loop
end function
| #Rust | Rust | fn comb_sort<T: PartialOrd>(a: &mut [T]) {
let len = a.len();
let mut gap = len;
let mut swapped = true;
while gap > 1 || swapped {
gap = (4 * gap) / 5;
if gap < 1 {
gap = 1;
}
let mut i = 0;
swapped = false;
while i + gap < len {
if a[i] > a[i + gap] {
a.swap(i, i + gap);
swapped = true;
}
i += 1;
}
}
}
fn main() {
let mut v = vec![10, 8, 4, 3, 1, 9, 0, 2, 7, 5, 6];
println!("before: {:?}", v);
comb_sort(&mut v);
println!("after: {:?}", v);
} |
http://rosettacode.org/wiki/Sorting_algorithms/Bogosort | Sorting algorithms/Bogosort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Bogosort a list of numbers.
Bogosort simply shuffles a collection randomly until it is sorted.
"Bogosort" is a perversely inefficient algorithm only used as an in-joke.
Its average run-time is O(n!) because the chance that any given shuffle of a set will end up in sorted order is about one in n factorial, and the worst case is infinite since there's no guarantee that a random shuffling will ever produce a sorted sequence.
Its best case is O(n) since a single pass through the elements may suffice to order them.
Pseudocode:
while not InOrder(list) do
Shuffle(list)
done
The Knuth shuffle may be used to implement the shuffle part of this algorithm.
| #PureBasic | PureBasic | Procedure KnuthShuffle (Array a(1))
Protected i, Size = ArraySize(a())
For i = 0 To Size
Swap a(i), a(Random(Size))
Next
EndProcedure
Procedure isSorted(Array a(1))
Protected i, Size = ArraySize(a())
For i = 1 To Size
If a(i) < a(i - 1)
ProcedureReturn #False
EndIf
Next
ProcedureReturn #True
EndProcedure
Procedure BogoSort(Array a(1))
Protected Size = ArraySize(a()) + 1, iter
While Not isSorted(a())
iter + 1
KnuthShuffle(a())
Wend
MessageRequester("Results","Array of " + Str(Size) + " integers required " + Str(iter) + " shuffles To SORT.")
EndProcedure
Dim b(10)
For i = 0 To 10
b(i) = Random(100)
Next
BogoSort(b()) |
http://rosettacode.org/wiki/Sorting_algorithms/Bubble_sort | Sorting algorithms/Bubble sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
A bubble sort is generally considered to be the simplest sorting algorithm.
A bubble sort is also known as a sinking sort.
Because of its simplicity and ease of visualization, it is often taught in introductory computer science courses.
Because of its abysmal O(n2) performance, it is not used often for large (or even medium-sized) datasets.
The bubble sort works by passing sequentially over a list, comparing each value to the one immediately after it. If the first value is greater than the second, their positions are switched. Over a number of passes, at most equal to the number of elements in the list, all of the values drift into their correct positions (large values "bubble" rapidly toward the end, pushing others down around them).
Because each pass finds the maximum item and puts it at the end, the portion of the list to be sorted can be reduced at each pass.
A boolean variable is used to track whether any changes have been made in the current pass; when a pass completes without changing anything, the algorithm exits.
This can be expressed in pseudo-code as follows (assuming 1-based indexing):
repeat
if itemCount <= 1
return
hasChanged := false
decrement itemCount
repeat with index from 1 to itemCount
if (item at index) > (item at (index + 1))
swap (item at index) with (item at (index + 1))
hasChanged := true
until hasChanged = false
Task
Sort an array of elements using the bubble sort algorithm. The elements must have a total order and the index of the array can be of any discrete type. For languages where this is not possible, sort an array of integers.
References
The article on Wikipedia.
Dance interpretation.
| #Dyalect | Dyalect | func bubbleSort(list) {
var done = false
while !done {
done = true
for i in 1..(list.Length()-1) {
if list[i - 1] > list[i] {
var x = list[i]
list[i] = list[i - 1]
list[i - 1] = x
done = false
}
}
}
}
var xs = [3,1,5,4,2,6]
bubbleSort(xs)
print(xs) |
http://rosettacode.org/wiki/Sorting_algorithms/Gnome_sort | Sorting algorithms/Gnome sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Gnome sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Gnome sort is a sorting algorithm which is similar to Insertion sort, except that moving an element to its proper place is accomplished by a series of swaps, as in Bubble Sort.
The pseudocode for the algorithm is:
function gnomeSort(a[0..size-1])
i := 1
j := 2
while i < size do
if a[i-1] <= a[i] then
// for descending sort, use >= for comparison
i := j
j := j + 1
else
swap a[i-1] and a[i]
i := i - 1
if i = 0 then
i := j
j := j + 1
endif
endif
done
Task
Implement the Gnome sort in your language to sort an array (or list) of numbers.
| #Mathematica.2FWolfram_Language | Mathematica/Wolfram Language | gnomeSort[list_]:=Module[{i=2,j=3},
While[ i<=Length[[list]],
If[ list[[i-1]]<=list[[i]],
i=j; j++;,
list[[i-1;;i]]=list[[i;;i-1]];i--;];
If[i==1,i=j;j++;]
]] |
http://rosettacode.org/wiki/Sorting_algorithms/Bead_sort | Sorting algorithms/Bead sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Sort an array of positive integers using the Bead Sort Algorithm.
A bead sort is also known as a gravity sort.
Algorithm has O(S), where S is the sum of the integers in the input set: Each bead is moved individually.
This is the case when bead sort is implemented without a mechanism to assist in finding empty spaces below the beads, such as in software implementations.
| #Racket | Racket |
#lang racket
(require rackunit)
(define (columns lst)
(match (filter (λ (l) (not (empty? l))) lst)
['() '()]
[l (cons (map car l) (columns (map cdr l)))]))
(define (bead-sort lst)
(map length (columns (columns (map (λ (n) (make-list n 1)) lst)))))
;; unit test
(check-equal?
(bead-sort '(5 3 1 7 4 1 1))
'(7 5 4 3 1 1 1))
|
http://rosettacode.org/wiki/Sorting_algorithms/Bead_sort | Sorting algorithms/Bead sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Sort an array of positive integers using the Bead Sort Algorithm.
A bead sort is also known as a gravity sort.
Algorithm has O(S), where S is the sum of the integers in the input set: Each bead is moved individually.
This is the case when bead sort is implemented without a mechanism to assist in finding empty spaces below the beads, such as in software implementations.
| #Raku | Raku | # routine cribbed from List::Utils;
sub transpose(@list is copy) {
gather {
while @list {
my @heads;
if @list[0] !~~ Positional { @heads = @list.shift; }
else { @heads = @list.map({$_.shift unless $_ ~~ []}); }
@list = @list.map({$_ unless $_ ~~ []});
take [@heads];
}
}
}
sub beadsort(@l) {
(transpose(transpose(map {[1 xx $_]}, @l))).map(*.elems);
}
my @list = 2,1,3,5;
say beadsort(@list).perl; |
http://rosettacode.org/wiki/Sorting_algorithms/Cocktail_sort | Sorting algorithms/Cocktail sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Cocktail sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
The cocktail shaker sort is an improvement on the Bubble Sort.
The improvement is basically that values "bubble" both directions through the array, because on each iteration the cocktail shaker sort bubble sorts once forwards and once backwards. Pseudocode for the algorithm (from wikipedia):
function cocktailSort( A : list of sortable items )
do
swapped := false
for each i in 0 to length( A ) - 2 do
if A[ i ] > A[ i+1 ] then // test whether the two
// elements are in the wrong
// order
swap( A[ i ], A[ i+1 ] ) // let the two elements
// change places
swapped := true;
if swapped = false then
// we can exit the outer loop here if no swaps occurred.
break do-while loop;
swapped := false
for each i in length( A ) - 2 down to 0 do
if A[ i ] > A[ i+1 ] then
swap( A[ i ], A[ i+1 ] )
swapped := true;
while swapped; // if no elements have been swapped,
// then the list is sorted
Related task
cocktail sort with shifting bounds
| #jq | jq | # In case your jq does not have "until" defined:
def until(cond; next):
def _until:
if cond then . else (next|_until) end;
_until; |
http://rosettacode.org/wiki/Solve_a_Holy_Knight%27s_tour | Solve a Holy Knight's tour |
Chess coaches have been known to inflict a kind of torture on beginners by taking a chess board, placing pennies on some squares and requiring that a Knight's tour be constructed that avoids the squares with pennies.
This kind of knight's tour puzzle is similar to Hidato.
The present task is to produce a solution to such problems. At least demonstrate your program by solving the following:
Example
0 0 0
0 0 0
0 0 0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
1 0 0 0 0 0 0
0 0 0
0 0 0
Note that the zeros represent the available squares, not the pennies.
Extra credit is available for other interesting examples.
Related tasks
A* search algorithm
Knight's tour
N-queens problem
Solve a Hidato puzzle
Solve a Hopido puzzle
Solve a Numbrix puzzle
Solve the no connection puzzle
| #ALGOL_68 | ALGOL 68 | # directions for moves #
INT nne = 1, ne = 2, se = 3, sse = 4;
INT ssw = 5, sw = 6, nw = 7, nnw = 8;
INT lowest move = nne;
INT highest move = nnw;
# the vertical position changes of the moves #
[]INT offset v = ( -2, -1, 1, 2, 2, 1, -1, -2 );
# the horizontal position changes of the moves #
[]INT offset h = ( 1, 2, 2, 1, -1, -2, -2, -1 );
MODE SQUARE = STRUCT( INT move # the number of the move that caused #
# the knight to reach this square #
, INT direction # the direction of the move that #
# brought the knight here - one of #
# nne, ne, se, sse, ssw, sw, nw or #
# nnw #
);
# get the size of the board - must be between 4 and 8 #
INT board size = 8;
# the board #
[ board size, board size ]SQUARE board;
# starting position #
INT start row := 1;
INT start col := 1;
# the tour will be complete when we have made as many moves #
# as there are free squares in the initial board #
INT final move := 0;
# initialise the board setting the free squares from the supplied pttern #
# the pattern has the rows in revers order #
PROC initialise board = ( []STRING pattern )VOID:
BEGIN
INT pattern row := UPB board;
FOR row FROM 1 LWB board TO 1 UPB board
DO
FOR col FROM 2 LWB board TO 2 UPB board
DO
IF pattern[ pattern row ][ col ] = "-"
THEN
# can't use this square #
board[ row, col ] := ( -1, -1 )
ELSE
# available square #
board[ row, col ] := ( 0, 0 );
final move +:= 1;
IF pattern[ pattern row ][ col ] = "1"
THEN
# have the start position #
start row := row;
start col := col
FI
FI
OD;
pattern row -:= 1
OD
END; # initialise board #
# statistics #
INT iterations := 0;
INT backtracks := 0;
# prints the board #
PROC print tour = VOID:
BEGIN
# format "number" into at least two characters #
PROC n2 = ( INT number )STRING:
IF number < 0
THEN
" -"
ELIF number < 10 AND number >= 0
THEN
" " + whole( number, 0 )
ELSE
whole( number, 0 )
FI; # n2 #
print( ( " a b c d e f g h", newline ) );
print( ( " ________________________", newline ) );
FOR row FROM 1 UPB board BY -1 TO 1 LWB board
DO
print( ( n2( row ) ) );
print( ( "|" ) );
FOR col FROM 2 LWB board TO 2 UPB board
DO
print( ( " " ) );
print( ( n2( move OF board[ row, col ] ) ) )
OD;
print( ( newline ) )
OD
END; # print tour #
# update the board to the first knight's tour found starting from #
# "start row" and "start col". #
# return TRUE if one was found, FALSE otherwise #
PROC find tour = BOOL:
BEGIN
BOOL result := TRUE;
INT move number := 1;
INT row := start row;
INT col := start col;
INT direction := lowest move - 1;
# the first move is to place the knight on the starting square #
board[ row, col ] := ( move number, lowest move - 1 );
# attempt to find a sequence of moves that will reach each square once #
WHILE
move number < final move AND result
DO
IF direction < highest move
THEN
# try the next move from this position #
direction +:= 1;
INT new row = row + offset v[ direction ];
INT new col = col + offset h[ direction ];
IF new row <= 1 UPB board
AND new row >= 1 LWB board
AND new col <= 2 UPB board
AND new col >= 2 LWB board
THEN
# the move is legal, check the new square is unused #
IF move OF board[ new row, new col ] = 0
THEN
# can move here #
iterations +:= 1;
row := new row;
col := new col;
move number +:= 1;
board[ row, col ] := ( move number, direction );
direction := lowest move - 1
FI
FI
ELSE
# no more moves from this position - backtrack #
IF move number = 1
THEN
# at the starting position - no solution #
result := FALSE
ELSE
# not at the starting position - undo the latest move #
backtracks +:= 1;
move number -:= 1;
INT curr row := row;
INT curr col := col;
row -:= offset v[ direction OF board[ curr row, curr col ] ];
col -:= offset h[ direction OF board[ curr row, curr col ] ];
# determine which direction to try next #
direction := direction OF board[ curr row, curr col ];
# reset the square we just backtracked from #
board[ curr row, curr col ] := ( 0, 0 )
FI
FI
OD;
result
END; # find tour #
main:(
initialise board( ( "-000----"
, "-0-00---"
, "-0000000"
, "000--0-0"
, "0-0--000"
, "1000000-"
, "--00-0--"
, "---000--"
)
);
IF find tour
THEN
# found a solution #
print tour
ELSE
# couldn't find a solution #
print( ( "Solution not found", newline ) )
FI;
print( ( iterations, " iterations, ", backtracks, " backtracks", newline ) )
) |
http://rosettacode.org/wiki/Solve_a_Hopido_puzzle | Solve a Hopido puzzle | Hopido puzzles are similar to Hidato. The most important difference is that the only moves allowed are: hop over one tile diagonally; and over two tiles horizontally and vertically. It should be possible to start anywhere in the path, the end point isn't indicated and there are no intermediate clues. Hopido Design Post Mortem contains the following:
"Big puzzles represented another problem. Up until quite late in the project our puzzle solver was painfully slow with most puzzles above 7×7 tiles. Testing the solution from each starting point could take hours. If the tile layout was changed even a little, the whole puzzle had to be tested again. We were just about to give up the biggest puzzles entirely when our programmer suddenly came up with a magical algorithm that cut the testing process down to only minutes. Hooray!"
Knowing the kindness in the heart of every contributor to Rosetta Code, I know that we shall feel that as an act of humanity we must solve these puzzles for them in let's say milliseconds.
Example:
. 0 0 . 0 0 .
0 0 0 0 0 0 0
0 0 0 0 0 0 0
. 0 0 0 0 0 .
. . 0 0 0 . .
. . . 0 . . .
Extra credits are available for other interesting designs.
Related tasks
A* search algorithm
Solve a Holy Knight's tour
Knight's tour
N-queens problem
Solve a Hidato puzzle
Solve a Holy Knight's tour
Solve a Numbrix puzzle
Solve the no connection puzzle
| #D | D | import std.stdio, std.conv, std.string, std.range, std.algorithm, std.typecons;
struct HopidoPuzzle {
private alias InputCellBaseType = char;
private enum InputCell : InputCellBaseType { available = '#', unavailable = '.' }
private alias Cell = uint;
private enum : Cell { unknownCell = 0, unavailableCell = Cell.max } // Special Cell values.
// Neighbors, [shift row, shift column].
private static immutable int[2][8] shifts = [[-2, -2], [2, -2], [-2, 2], [2, 2],
[ 0, -3], [0, 3], [-3, 0], [3, 0]];
private immutable size_t gridWidth, gridHeight;
private immutable Cell nAvailableCells;
private /*immutable*/ const InputCell[] flatPuzzle;
private Cell[] grid; // Flattened mutable game grid.
@disable this();
this(in string[] rawPuzzle) pure @safe
in {
assert(!rawPuzzle.empty);
assert(!rawPuzzle[0].empty);
assert(rawPuzzle.all!(row => row.length == rawPuzzle[0].length)); // Is rectangular.
// Has at least one start point.
assert(rawPuzzle.join.representation.canFind(InputCell.available));
} body {
//immutable puzzle = rawPuzzle.to!(InputCell[][]);
immutable puzzle = rawPuzzle.map!representation.array.to!(InputCell[][]);
gridWidth = puzzle[0].length;
gridHeight = puzzle.length;
flatPuzzle = puzzle.join;
nAvailableCells = flatPuzzle.representation.count!(ic => ic == InputCell.available);
grid = flatPuzzle
.representation
.map!(ic => ic == InputCell.available ? unknownCell : unavailableCell)
.array;
}
Nullable!(string[][]) solve() pure /*nothrow*/ @safe
out(result) {
if (!result.isNull)
assert(!grid.canFind(unknownCell));
} body {
// Try all possible start positions.
foreach (immutable r; 0 .. gridHeight) {
foreach (immutable c; 0 .. gridWidth) {
immutable pos = r * gridWidth + c;
if (grid[pos] == unknownCell) {
immutable Cell startCell = 1; // To lay the first cell value.
grid[pos] = startCell; // Try.
if (search(r, c, startCell + 1)) {
auto result = zip(flatPuzzle, grid)
//.map!({p, c} => ...
.map!(pc => (pc[0] == InputCell.available) ?
pc[1].text :
InputCellBaseType(pc[0]).text)
.array
.chunks(gridWidth)
.array;
return typeof(return)(result);
}
grid[pos] = unknownCell; // Restore.
}
}
}
return typeof(return)();
}
private bool search(in size_t r, in size_t c, in Cell cell) pure nothrow @safe @nogc {
if (cell > nAvailableCells)
return true; // One solution found.
foreach (immutable sh; shifts) {
immutable r2 = r + sh[0],
c2 = c + sh[1],
pos = r2 * gridWidth + c2;
// No need to test for >= 0 because uint wraps around.
if (c2 < gridWidth && r2 < gridHeight && grid[pos] == unknownCell) {
grid[pos] = cell; // Try.
if (search(r2, c2, cell + 1))
return true;
grid[pos] = unknownCell; // Restore.
}
}
return false;
}
}
void main() @safe {
// enum HopidoPuzzle to catch malformed puzzles at compile-time.
enum puzzle = ".##.##.
#######
#######
.#####.
..###..
...#...".split.HopidoPuzzle;
immutable solution = puzzle.solve; // Solved at run-time.
if (solution.isNull)
writeln("No solution found.");
else
writefln("One solution:\n%(%-(%2s %)\n%)", solution);
} |
http://rosettacode.org/wiki/Sort_an_array_of_composite_structures | Sort an array of composite structures |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Sort an array of composite structures by a key.
For example, if you define a composite structure that presents a name-value pair (in pseudo-code):
Define structure pair such that:
name as a string
value as a string
and an array of such pairs:
x: array of pairs
then define a sort routine that sorts the array x by the key name.
This task can always be accomplished with Sorting Using a Custom Comparator.
If your language is not listed here, please see the other article.
| #AutoHotkey | AutoHotkey | start:
Gui, Add, ListView, r20 w200, 1|2
data =
(
foo,53
joe,34
bar,23
)
Loop, parse, data, `n
{
stringsplit, row, A_LoopField, `,
LV_Add(row, row1, row2)
}
LV_ModifyCol() ; Auto-size columns
Gui, Show
msgbox, sorting by column1
LV_ModifyCol(1, "sort") ; sort by first column
msgbox, sorting by column2
LV_ModifyCol(2, "sort Integer") ; sort by second column numerically
return
GuiClose:
ExitApp |
http://rosettacode.org/wiki/Sorting_algorithms/Counting_sort | Sorting algorithms/Counting sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Counting sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Task
Implement the Counting sort. This is a way of sorting integers when the minimum and maximum value are known.
Pseudocode
function countingSort(array, min, max):
count: array of (max - min + 1) elements
initialize count with 0
for each number in array do
count[number - min] := count[number - min] + 1
done
z := 0
for i from min to max do
while ( count[i - min] > 0 ) do
array[z] := i
z := z+1
count[i - min] := count[i - min] - 1
done
done
The min and max can be computed apart, or be known a priori.
Note: we know that, given an array of integers, its maximum and minimum values can be always found; but if we imagine the worst case for an array that can hold up to 32 bit integers, we see that in order to hold the counts, an array of up to 232 elements may be needed. I.E.: we need to hold a count value up to 232-1, which is a little over 4.2 Gbytes. So the counting sort is more practical when the range is (very) limited, and minimum and maximum values are known a priori. (However, as a counterexample, the use of sparse arrays minimizes the impact of the memory usage, as well as removing the need of having to know the minimum and maximum values a priori.)
| #Racket | Racket |
#lang racket
(define (counting-sort xs min max)
(define ns (make-vector (+ max (- min) 1) 0))
(for ([x xs]) (vector-set! ns (- x min) (+ (vector-ref ns (- x min)) 1)))
(for/fold ([i 0]) ([n ns] [x (in-naturals)])
(for ([j (in-range i (+ i n ))])
(vector-set! xs j (+ x min)))
(+ i n))
xs)
(counting-sort (vector 0 9 3 8 1 -1 1 2 3 7 4) -1 10)
|
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