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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).
| #AutoHotkey | AutoHotkey | oGrid := [[ "", "X", "X"] ; setup oGrid
,[ "X", "X", "X", "X"]
,[ "", "X", "X"]]
oNeighbor := [], oCell := [], oRoute := [] , oVisited := [] ; initialize objects
for row, oRow in oGrid
for col, val in oRow
if val ; for each valid cell in oGrid
oNeighbor[row, col] := Neighbors(row, col, oGrid) ; list valid no-connection neighbors
Solve:
for row, oRow in oGrid
for col , val in oRow
if val ; for each valid cell in oGrid
if (oSolution := SolveNoConnect(row, col, 1)).8 ; solve for this cell
break, Solve ; if solution found stop
; show solution
for i , val in oSolution
oCell[StrSplit(val, ":").1 , StrSplit(val, ":").2] := i
A := oCell[1, 2] , B := oCell[1, 3]
C := oCell[2, 1], D := oCell[2, 2] , E := oCell[2, 3], F := oCell[2, 4]
G := oCell[3, 2] , H := oCell[3, 3]
sol =
(
%A% %B%
/|\ /|\
/ | X | \
/ |/ \| \
%C% - %D% - %E% - %F%
\ |\ /| /
\ | X | /
\|/ \|/
%G% %H%
)
MsgBox % sol
return
;-----------------------------------------------------------------------
SolveNoConnect(row, col, val){
global
oRoute.push(row ":" col) ; save route
oVisited[row, col] := true ; mark this cell visited
if oRoute[8] ; if solution found
return true ; end recursion
for each, nn in StrSplit(oNeighbor[row, col], ",") ; for each no-connection neighbor of cell
{
rowX := StrSplit(nn, ":").1 , colX := StrSplit(nn, ":").2 ; get coords of this neighbor
if !oVisited[rowX, colX] ; if not previously visited
{
oVisited[rowX, colX] := true ; mark this cell visited
val++ ; increment
if (SolveNoConnect(rowX, colX, val)) ; recurse
return oRoute ; if solution found return route
}
}
oRoute.pop() ; Solution not found, backtrack oRoute
oVisited[row, col] := false ; Solution not found, remove mark
}
;-----------------------------------------------------------------------
Neighbors(row, col, oGrid){ ; return distant neighbors of oGrid[row,col]
for r , oRow in oGrid
for c, v in oRow
if (v="X") && (abs(row-r) > 1 || abs(col-c) > 1)
list .= r ":"c ","
if (row<>2) && oGrid[row, col]
list .= oGrid[row, col+1] ? row ":" col+1 "," : oGrid[row, col-1] ? row ":" col-1 "," : ""
return Trim(list, ",")
} |
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
| #Java | Java | import java.util.*;
public class Numbrix {
final static String[] board = {
"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"};
final static int[][] moves = {{1, 0}, {0, 1}, {-1, 0}, {0, -1}};
static int[][] grid;
static int[] clues;
static int totalToFill;
public static void main(String[] args) {
int nRows = board.length + 2;
int nCols = board[0].split(",").length + 2;
int startRow = 0, startCol = 0;
grid = new int[nRows][nCols];
totalToFill = (nRows - 2) * (nCols - 2);
List<Integer> lst = new ArrayList<>();
for (int r = 0; r < nRows; r++) {
Arrays.fill(grid[r], -1);
if (r >= 1 && r < nRows - 1) {
String[] row = board[r - 1].split(",");
for (int c = 1; c < nCols - 1; c++) {
int val = Integer.parseInt(row[c - 1]);
if (val > 0)
lst.add(val);
if (val == 1) {
startRow = r;
startCol = c;
}
grid[r][c] = val;
}
}
}
clues = lst.stream().sorted().mapToInt(i -> i).toArray();
if (solve(startRow, startCol, 1, 0))
printResult();
}
static boolean solve(int r, int c, int count, int nextClue) {
if (count > totalToFill)
return true;
if (grid[r][c] != 0 && grid[r][c] != count)
return false;
if (grid[r][c] == 0 && nextClue < clues.length)
if (clues[nextClue] == count)
return false;
int back = grid[r][c];
if (back == count)
nextClue++;
grid[r][c] = count;
for (int[] move : moves)
if (solve(r + move[1], c + move[0], count + 1, nextClue))
return true;
grid[r][c] = back;
return false;
}
static void printResult() {
for (int[] row : grid) {
for (int i : row) {
if (i == -1)
continue;
System.out.printf("%2d ", i);
}
System.out.println();
}
}
} |
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.
| #Bracmat | Bracmat | {?} (9.)+(-2.)+(1.)+(2.)+(8.)+(0.)+(1.)+(2.)
{!} (-2.)+(0.)+2*(1.)+2*(2.)+(8.)+(9.) |
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.
| #Burlesque | Burlesque | {1 3 2 5 4}>< |
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
| #Factor | Factor | USING: io qw sequences sorting sorting.human ;
qw{
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
} [ human<=> ] sort [ print ] each |
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
| #F.C5.8Drmul.C3.A6 | Fōrmulæ | package main
import (
"fmt"
"log"
"math/big"
"sort"
"strings"
)
var testCases = []string{
"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",
}
// a parsed representation
type oid []big.Int
// "constructor" parses string representation
func newOid(s string) oid {
ns := strings.Split(s, ".")
os := make(oid, len(ns))
for i, n := range ns {
if _, ok := os[i].SetString(n, 10); !ok || os[i].Sign() < 0 {
return nil
}
}
return os
}
// "stringer" formats into string representation
func (o oid) String() string {
s := make([]string, len(o))
for i, n := range o {
s[i] = n.String()
}
return strings.Join(s, ".")
}
func main() {
// parse test cases
os := make([]oid, len(testCases))
for i, s := range testCases {
os[i] = newOid(s)
if os[i] == nil {
log.Fatal("invalid OID")
}
}
// sort
sort.Slice(os, func(i, j int) bool {
// "less" function must return true if os[i] < os[j]
oi := os[i]
for x, v := range os[j] {
// lexicographic defintion: less if prefix or if element is <
if x == len(oi) || oi[x].Cmp(&v) < 0 {
return true
}
if oi[x].Cmp(&v) > 0 {
break
}
}
return false
})
// output sorted list
for _, o := range os {
fmt.Println(o)
}
} |
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
| #ERRE | ERRE | PROGRAM DISJOINT
DIM LST%[7],INDICES%[2]
DIM L%[7],I%[2],Z%[2]
PROCEDURE SHOWLIST(L%[]->O$)
LOCAL I%
O$="["
FOR I%=0 TO UBOUND(L%,1) DO
O$=O$+STR$(L%[I%])+", "
END FOR
O$=LEFT$(O$,LEN(O$)-2)+"]"
END PROCEDURE
PROCEDURE SORT(Z%[]->Z%[])
LOCAL N%,P%,FLIPS%
P%=UBOUND(Z%,1)
FLIPS%=TRUE
WHILE FLIPS% DO
FLIPS%=FALSE
FOR N%=0 TO P%-1 DO
IF Z%[N%]>Z%[N%+1] THEN SWAP(Z%[N%],Z%[N%+1]) FLIPS%=TRUE
END FOR
END WHILE
END PROCEDURE
PROCEDURE SortDisJoint(L%[],I%[]->L%[])
LOCAL J%,N%
LOCAL DIM T%[2]
N%=UBOUND(I%,1)
FOR J%=0 TO N% DO
T%[J%]=L%[I%[J%]]
END FOR
SORT(I%[]->I%[])
SORT(T%[]->T%[])
FOR J%=0 TO N% DO
L%[I%[J%]]=T%[J%]
END FOR
END PROCEDURE
BEGIN
LST%[]=(7,6,5,4,3,2,1,0)
INDICES%[]=(6,1,7)
SortDisJoint(LST%[],INDICES%[]->LST%[])
ShowList(LST%[]->O$)
PRINT(O$)
END PROGRAM |
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
| #Euphoria | Euphoria | include sort.e
function uniq(sequence s)
sequence out
out = s[1..1]
for i = 2 to length(s) do
if not find(s[i], out) then
out = append(out, s[i])
end if
end for
return out
end function
function disjointSort(sequence s, sequence idx)
sequence values
idx = uniq(sort(idx))
values = repeat(0, length(idx))
for i = 1 to length(idx) do
values[i] = s[idx[i]]
end for
values = sort(values)
for i = 1 to length(idx) do
s[idx[i]] = values[i]
end for
return s
end function
constant data = {7, 6, 5, 4, 3, 2, 1, 0}
constant indexes = {7, 2, 8} |
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).
| #PARI.2FGP | PARI/GP | use sort 'stable'; |
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).
| #Pascal | Pascal | use sort 'stable'; |
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).
| #Perl | Perl | use sort 'stable'; |
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.
| #Modula-2 | Modula-2 | MODULE SortThreeVariables;
FROM FormatString IMPORT FormatString;
FROM Terminal IMPORT WriteString,WriteLn,ReadChar;
PROCEDURE SwapInt(VAR a,b : INTEGER);
VAR t : INTEGER;
BEGIN
t := a;
a := b;
b := t;
END SwapInt;
PROCEDURE Sort3Int(VAR x,y,z : INTEGER);
BEGIN
IF x<y THEN
IF z<x THEN
SwapInt(x,z);
END;
ELSIF y<z THEN
SwapInt(x,y);
ELSE
SwapInt(x,z);
END;
IF z<y THEN
SwapInt(y,z);
END;
END Sort3Int;
VAR
buf : ARRAY[0..63] OF CHAR;
a,b,c : INTEGER;
BEGIN
a := 77444;
b := -12;
c := 0;
FormatString("Before a=[%i]; b=[%i]; c=[%i]\n", buf, a, b, c);
WriteString(buf);
Sort3Int(a,b,c);
FormatString("Before a=[%i]; b=[%i]; c=[%i]\n", buf, a, b, c);
WriteString(buf);
ReadChar;
END SortThreeVariables. |
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.
| #Nanoquery | Nanoquery | import sort
// sorting string literals
x = "lion, tigers, and"
y = "bears, oh my!"
z = "(from the \"Wizard of OZ\")"
varlist = sort({x,y,z})
x = varlist[0]
y = varlist[1]
z = varlist[2]
println x; println y; println z
// sorting integers
x = 77444
y = -12
z = 0
varlist = sort({x, y, z})
x = varlist[0]
y = varlist[1]
z = varlist[2]
println x; println y; println z |
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.
| #Icon_and_Unicon | Icon and Unicon | procedure main() #: demonstrate various ways to sort a list and string
write("Sorting Demo for custom comparator")
L := ["Here", "are", "some", "sample", "strings", "to", "be", "sorted"]
write(" Unsorted Input : ")
every write(" ",image(!L))
shellsort(L,cmptask) # most of the RC sorts will work here
write(" Sorted Output : ")
every write(" ",image(!L))
end
procedure cmptask(a,b) # sort by descending length and ascending lexicographic order for strings of equal length
if (*a > *b) | ((*a = *b) & (map(a) << map(b))) then return b
end |
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
| #Sather | Sather | class SORT{T < $IS_LT{T}} is
private swap(inout a, inout b:T) is
temp ::= a;
a := b;
b := temp;
end;
-- ---------------------------------------------------------------------------------
comb_sort(inout a:ARRAY{T}) is
gap ::= a.size;
swapped ::= true;
loop until!(gap <= 1 and ~swapped);
if gap > 1 then
gap := (gap.flt / 1.25).int;
end;
i ::= 0;
swapped := false;
loop until! ( (i + gap) >= a.size );
if (a[i] > a[i+gap]) then
swap(inout a[i], inout a[i+gap]);
swapped := true;
end;
i := i + 1;
end;
end;
end;
end;
class MAIN is
main is
a:ARRAY{INT} := |88, 18, 31, 44, 4, 0, 8, 81, 14, 78, 20, 76, 84, 33, 73, 75, 82, 5, 62, 70|;
b ::= a.copy;
SORT{INT}::comb_sort(inout b);
#OUT + b + "\n";
end;
end; |
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.
| #Python | Python | import random
def bogosort(l):
while not in_order(l):
random.shuffle(l)
return l
def in_order(l):
if not l:
return True
last = l[0]
for x in l[1:]:
if x < last:
return False
last = x
return True |
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.
| #E | E | def bubbleSort(target) {
__loop(fn {
var changed := false
for i in 0..(target.size() - 2) {
def [a, b] := target(i, i + 2)
if (a > b) {
target(i, i + 2) := [b, a]
changed := true
}
}
changed
})
} |
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.
| #MATLAB_.2F_Octave | MATLAB / Octave | function list = gnomeSort(list)
i = 2;
j = 3;
while i <= numel(list)
if list(i-1) <= list(i)
i = j;
j = j+1;
else
list([i-1 i]) = list([i i-1]); %Swap
i = i-1;
if i == 1
i = j;
j = j+1;
end
end %if
end %while
end %gnomeSort |
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.
| #REXX | REXX | /*REXX program sorts a list (four groups) of integers using the bead sort algorithm.*/
/* [↓] define two dozen grasshopper numbers. */
gHopper= 1 4 10 12 22 26 30 46 54 62 66 78 94 110 126 134 138 158 162 186 190 222 254 270
/* [↓] these are also called hexagonal pyramidal #s. */
greenGrocer= 0 4 16 40 80 140 224 336 480 660 880 1144 1456 1820 2240 2720 3264 3876 4560
/* [↓] define twenty-three Bernoulli numerator numbers*/
bernN= '1 -1 1 0 -1 0 1 0 -1 0 5 0 -691 0 7 0 -3617 0 43867 0 -174611 0'
/* [↓] also called the Reduced Totient function, and is*/
/*also called Carmichael lambda, or the LAMBDA function*/
psi= 1 1 2 2 4 2 6 2 6 4 10 2 12 6 4 4 16 6 18 4 6 10 22 2 20 12 18 6 28 4 30 8 10 16
y= gHopper greenGrocer bernN psi /*combine the four lists into one list.*/
call show 'before sort', y /*display the list before sorting. */
say copies('░', 75) /*show long separator line before sort.*/
call show ' after sort', beadSort(y) /*display the list after sorting. */
exit /*stick a fork in it, we're all done. */
/*──────────────────────────────────────────────────────────────────────────────────────*/
beadSort: procedure; parse arg low . 1 high . 1 z,$; @.=0 /*$: the list to be sorted. */
do j=1 until z==''; parse var z x z /*pick the meat off the bone.*/
x= x / 1; @.x= @.x + 1 /*normalize X; bump counter.*/
low= min(low, x); high= max(high, x) /*track lowest and highest #.*/
end /*j*/
/* [↓] now, collect the beads*/
do m=low to high; if @.m>0 then $= $ copies(m' ', @.m)
end /*m*/
return $
/*──────────────────────────────────────────────────────────────────────────────────────*/
show: parse arg txt,y; z= words(y); w= length(z)
do k=1 for z; say right('element',30) right(k,w) txt":" right(word(y,k),9)
end /*k*/
return |
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
| #Julia | Julia | function cocktailsort(a::Vector)
b = copy(a)
isordered = false
lo, hi = 1, length(b)
while !isordered && hi > lo
isordered = true
for i in lo+1:hi
if b[i] < b[i-1]
b[i-1], b[i] = b[i], b[i-1]
isordered = false
end
end
hi -= 1
if isordered || hi ≤ lo break end
for i in hi:-1:lo+1
if b[i-1] > b[i]
b[i-1], b[i] = b[i], b[i-1]
isordered = false
end
end
lo += 1
end
return b
end
v = rand(-10:10, 10)
println("# unordered: $v\n -> ordered: ", cocktailsort(v)) |
http://rosettacode.org/wiki/Solve_a_Holy_Knight%27s_tour | Solve a Holy Knight's tour |
Chess coaches have been known to inflict a kind of torture on beginners by taking a chess board, placing pennies on some squares and requiring that a Knight's tour be constructed that avoids the squares with pennies.
This kind of knight's tour puzzle is similar to Hidato.
The present task is to produce a solution to such problems. At least demonstrate your program by solving the following:
Example
0 0 0
0 0 0
0 0 0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
1 0 0 0 0 0 0
0 0 0
0 0 0
Note that the zeros represent the available squares, not the pennies.
Extra credit is available for other interesting examples.
Related tasks
A* search algorithm
Knight's tour
N-queens problem
Solve a Hidato puzzle
Solve a Hopido puzzle
Solve a Numbrix puzzle
Solve the no connection puzzle
| #Bracmat | Bracmat | ( ( Holy-Knight
= begin colWidth crumbs non-empty pairs path parseLine
, display isolateStartCell minDistance numberElementsAndSort
, parseBoard reverseList rightAlign solve strlen
. "'non-empty' is a pattern that is used several times in bigger patterns."
& ( non-empty
=
= %@
: ~( "."
| "-"
| " "
| \t
| \r
| \n
)
)
& ( reverseList
= a L
. :?L
& whl'(!arg:%?a ?arg&!a !L:?L)
& !L
)
& (strlen=e.@(!arg:? [?e)&!e)
& ( rightAlign
= string width
. !arg:(?width,?string)
& !width+-1*strlen$!string:?width
& whl
' ( !width+-1:~<0:?width
& " " !string:?string
)
& str$!string
)
& ( minDistance
= board pat1 pat2 minWidth pos1 pos2 pattern
. !arg:(?board,(=?pat1),(=?pat2))
& -1:?minWidth
& "Construct a pattern using a template.
The pattern finds the smallest distance between any two columns in the input.
Assumption: all columns have the same width and columns are separated by one or
more spaces. The function can also be used to find the width of the first column
by letting pat1 match a new line."
&
' ( ?
( $pat1
[?pos1
(? " "|`)
()$pat2
[?pos2
?
& !pos2+-1*!pos1
: ( <!minWidth
| ?&!minWidth:<0
)
: ?minWidth
& ~
)
)
: (=?pattern)
& "'pattern', by design, always fails. The interesting part is a side effect:
the column width."
& (@(!board:!pattern)|!minWidth)
)
& ( numberElementsAndSort
= a sum n
. 0:?sum:?n
& "An evaluated sum is always sorted. The terms are structured so the sorting
order is by row and then by column (both part of 'a')."
& whl
' ( !arg:%?a ?arg
& 1+!n:?n
& (!a,!n)+!sum:?sum
)
& "return the sorted list (sum) and also the size of a field that can contain
the highest number."
& (!sum.strlen$!n+1)
)
& ( parseLine
= line row columnWidth width col
, bins val A M Z cell validPat
. !arg:(?line,?row,?width,?columnWidth,?bins)
& 0:?col
& "Find the cells and create a pair [row,col] for each. Put each pair in a bin.
There are as many bins as there are different values in cells."
& '(? ($!non-empty:?val) ?)
: (=?validPat)
& whl
' ( @(!line:?cell [!width ?line)
& ( @(!cell:!validPat)
& ( !bins:?A (!val.?M) ?Z
& !A (!val.(!row.!col) !M) !Z
| (!val.!row.!col) !bins
)
: ?bins
|
)
& !columnWidth:?width
& 1+!col:?col
)
& !bins
)
& ( parseBoard
= board firstColumnWidth columnWidth,row bins line
. !arg:?board
& ( minDistance
$ (str$(\r \n !arg),(=\n),!non-empty)
, minDistance$(!arg,!non-empty,!non-empty)
)
: (?firstColumnWidth,?columnWidth)
& 0:?row
& :?bins
& whl
' ( @(!board:?line \n ?board)
& parseLine
$ (!line,!row,!firstColumnWidth,!columnWidth,!bins)
: ?bins
& (!bins:|1+!row:?row)
)
& parseLine
$ (!board,!row,!firstColumnWidth,!columnWidth,!bins)
: ?bins
)
& "Find the first bin with only one pair. Return this pair and the combined pairs in
all remaining bins."
& ( isolateStartCell
= A begin Z valuedPairs pairs
. !arg:?A (?.? [1:?begin) ?Z
& !A !Z:?arg
& :?pairs
& whl
' ( !arg:(?.?valuedPairs) ?arg
& !valuedPairs !pairs:?pairs
)
& (!begin.!pairs)
)
& ( display
= board solution row col x y n colWidth
. !arg:(?board,?solution,?colWidth)
& out$!board
& 0:?row
& -1:?col
& whl
' ( !solution:((?y.?x),?n)+?solution
& whl
' ( !row:<!y
& 1+!row:?row
& -1:?col
& put$\n
)
& whl
' ( 1+!col:?col:<!x
& put$(rightAlign$(!colWidth,))
)
& put$(rightAlign$(!colWidth,!n))
)
& put$\n
)
& ( solve
= A Z x y crumbs pairs X Y solution
. !arg:((?y.?x),?crumbs,?pairs)
& ( !pairs:&(!y.!x) !crumbs
| !pairs
: ?A
( (?Y.?X) ?Z
& (!x+-1*!X)*(!y+-1*!Y)
: (2|-2)
& solve
$ ( (!Y.!X)
, (!y.!x) !crumbs
, !A !Z
)
: ?solution
)
& !solution
)
)
& ( isolateStartCell$(parseBoard$!arg):(?begin.?pairs)
| out$"Sorry, I cannot identify a start cell."&~
)
& solve$(!begin,,!pairs):?crumbs
& numberElementsAndSort$(reverseList$!crumbs)
: (?path.?colWidth)
& display$(!arg,!path,!colWidth)
)
& "
0 0 0
0 0 0
0 0 0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
1 0 0 0 0 0 0
0 0 0
0 0 0
"
"
-----1-0-----
-----0-0-----
----00000----
-----000-----
--0--0-0--0--
00000---00000
--00-----00--
00000---00000
--0--0-0--0--
-----000-----
----00000----
-----0-0-----
-----0-0-----"
: ?boards
& whl'(!boards:%?board ?boards&Holy-Knight$!board)
& done
); |
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
| #Elixir | Elixir | # require HLPsolver
adjacent = [{-3, 0}, {0, -3}, {0, 3}, {3, 0}, {-2, -2}, {-2, 2}, {2, -2}, {2, 2}]
board = """
. 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 . .
. . . 1 . . .
"""
HLPsolver.solve(board, adjacent) |
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
| #Go | Go | package main
import (
"fmt"
"sort"
)
var board = []string{
".00.00.",
"0000000",
"0000000",
".00000.",
"..000..",
"...0...",
}
var moves = [][2]int{
{-3, 0}, {0, 3}, {3, 0}, {0, -3},
{2, 2}, {2, -2}, {-2, 2}, {-2, -2},
}
var grid [][]int
var totalToFill = 0
func solve(r, c, count int) bool {
if count > totalToFill {
return true
}
nbrs := neighbors(r, c)
if len(nbrs) == 0 && count != totalToFill {
return false
}
sort.Slice(nbrs, func(i, j int) bool {
return nbrs[i][2] < nbrs[j][2]
})
for _, nb := range nbrs {
r = nb[0]
c = nb[1]
grid[r][c] = count
if solve(r, c, count+1) {
return true
}
grid[r][c] = 0
}
return false
}
func neighbors(r, c int) (nbrs [][3]int) {
for _, m := range moves {
x := m[0]
y := m[1]
if grid[r+y][c+x] == 0 {
num := countNeighbors(r+y, c+x) - 1
nbrs = append(nbrs, [3]int{r + y, c + x, num})
}
}
return
}
func countNeighbors(r, c int) int {
num := 0
for _, m := range moves {
if grid[r+m[1]][c+m[0]] == 0 {
num++
}
}
return num
}
func printResult() {
for _, row := range grid {
for _, i := range row {
if i == -1 {
fmt.Print(" ")
} else {
fmt.Printf("%2d ", i)
}
}
fmt.Println()
}
}
func main() {
nRows := len(board) + 6
nCols := len(board[0]) + 6
grid = make([][]int, nRows)
for r := 0; r < nRows; r++ {
grid[r] = make([]int, nCols)
for c := 0; c < nCols; c++ {
grid[r][c] = -1
}
for c := 3; c < nCols-3; c++ {
if r >= 3 && r < nRows-3 {
if board[r-3][c-3] == '0' {
grid[r][c] = 0
totalToFill++
}
}
}
}
pos, r, c := -1, 0, 0
for {
for {
pos++
r = pos / nCols
c = pos % nCols
if grid[r][c] != -1 {
break
}
}
grid[r][c] = 1
if solve(r, c, 2) {
break
}
grid[r][c] = 0
if pos >= nRows*nCols {
break
}
}
printResult()
} |
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.
| #AWK | AWK |
# syntax: GAWK -f SORT_AN_ARRAY_OF_COMPOSITE_STRUCTURES.AWK
BEGIN {
# AWK lacks structures but one can be simulated using an associative array.
arr["eight 8 "]
arr["two 2 "]
arr["five 5 "]
arr["nine 9 "]
arr["one 1 "]
arr["three 3 "]
arr["six 6 "]
arr["seven 7 "]
arr["four 4 "]
arr["ten 10"]
arr["zero 0 "]
arr["twelve 12"]
arr["minus2 -2"]
show(1,7,"@val_str_asc","name") # use name part of name-value pair
show(8,9,"@val_num_asc","value") # use value part of name-value pair
exit(0)
}
function show(a,b,sequence,description, i,x) {
PROCINFO["sorted_in"] = "@unsorted"
for (i in arr) {
x = substr(i,a,b)
sub(/ +/,"",x)
arr[i] = x
}
PROCINFO["sorted_in"] = sequence
printf("sorted by %s:",description)
for (i in arr) {
printf(" %s",arr[i])
}
printf("\n")
}
|
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.)
| #Raku | Raku | sub counting-sort (@ints) {
my $off = @ints.min;
(my @counts)[$_ - $off]++ for @ints;
flat @counts.kv.map: { ($^k + $off) xx ($^v // 0) }
}
# Testing:
constant @age-range = 2 .. 102;
my @ages = @age-range.roll(50);
say @ages.&counting-sort;
say @ages.sort;
say @ages.&counting-sort.join eq @ages.sort.join ?? 'ok' !! 'not ok'; |
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).
| #C | C | #include <stdbool.h>
#include <stdio.h>
#include <math.h>
int connections[15][2] = {
{0, 2}, {0, 3}, {0, 4}, // A to C,D,E
{1, 3}, {1, 4}, {1, 5}, // B to D,E,F
{6, 2}, {6, 3}, {6, 4}, // G to C,D,E
{7, 3}, {7, 4}, {7, 5}, // H to D,E,F
{2, 3}, {3, 4}, {4, 5}, // C-D, D-E, E-F
};
int pegs[8];
int num = 0;
bool valid() {
int i;
for (i = 0; i < 15; i++) {
if (abs(pegs[connections[i][0]] - pegs[connections[i][1]]) == 1) {
return false;
}
}
return true;
}
void swap(int *a, int *b) {
int t = *a;
*a = *b;
*b = t;
}
void printSolution() {
printf("----- %d -----\n", num++);
printf(" %d %d\n", /* */ pegs[0], pegs[1]);
printf("%d %d %d %d\n", pegs[2], pegs[3], pegs[4], pegs[5]);
printf(" %d %d\n", /* */ pegs[6], pegs[7]);
printf("\n");
}
void solution(int le, int ri) {
if (le == ri) {
if (valid()) {
printSolution();
}
} else {
int i;
for (i = le; i <= ri; i++) {
swap(pegs + le, pegs + i);
solution(le + 1, ri);
swap(pegs + le, pegs + i);
}
}
}
int main() {
int i;
for (i = 0; i < 8; i++) {
pegs[i] = i + 1;
}
solution(0, 8 - 1);
return 0;
} |
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
| #Julia | Julia | using .Hidato
const numbrixmoves = [[-1, 0], [0, -1], [0, 1], [1, 0]]
board, maxmoves, fixed, starts = hidatoconfigure(numbrix1)
printboard(board, " 0 ", " ")
hidatosolve(board, maxmoves, numbrixmoves, fixed, starts[1][1], starts[1][2], 1)
printboard(board)
board, maxmoves, fixed, starts = hidatoconfigure(numbrix2)
printboard(board, " 0 ", " ")
hidatosolve(board, maxmoves, numbrixmoves, fixed, starts[1][1], starts[1][2], 1)
printboard(board)
|
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
| #Kotlin | Kotlin | // version 1.2.0
val example1 = listOf(
"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"
)
val example2 = listOf(
"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"
)
val moves = listOf(1 to 0, 0 to 1, -1 to 0, 0 to -1)
lateinit var board: List<String>
lateinit var grid: List<IntArray>
lateinit var clues: IntArray
var totalToFill = 0
fun solve(r: Int, c: Int, count: Int, nextClue: Int): Boolean {
if (count > totalToFill) return true
val back = grid[r][c]
if (back != 0 && back != count) return false
if (back == 0 && nextClue < clues.size && clues[nextClue] == count) {
return false
}
var nextClue2 = nextClue
if (back == count) nextClue2++
grid[r][c] = count
for (m in moves) {
if (solve(r + m.second, c + m.first, count + 1, nextClue2)) return true
}
grid[r][c] = back
return false
}
fun printResult(n: Int) {
println("Solution for example $n:")
for (row in grid) {
for (i in row) {
if (i == -1) continue
print("%2d ".format(i))
}
println()
}
}
fun main(args: Array<String>) {
for ((n, ex) in listOf(example1, example2).withIndex()) {
board = ex
val nRows = board.size + 2
val nCols = board[0].split(",").size + 2
var startRow = 0
var startCol = 0
grid = List(nRows) { IntArray(nCols) { -1 } }
totalToFill = (nRows - 2) * (nCols - 2)
val lst = mutableListOf<Int>()
for (r in 0 until nRows) {
if (r in 1 until nRows - 1) {
val row = board[r - 1].split(",")
for (c in 1 until nCols - 1) {
val value = row[c - 1].toInt()
if (value > 0) lst.add(value)
if (value == 1) {
startRow = r
startCol = c
}
grid[r][c] = value
}
}
}
lst.sort()
clues = lst.toIntArray()
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.
| #C | C | #include <stdlib.h> /* qsort() */
#include <stdio.h> /* printf() */
int intcmp(const void *aa, const void *bb)
{
const int *a = aa, *b = bb;
return (*a < *b) ? -1 : (*a > *b);
}
int main()
{
int nums[5] = {2,4,3,1,2};
qsort(nums, 5, sizeof(int), intcmp);
printf("result: %d %d %d %d %d\n",
nums[0], nums[1], nums[2], nums[3], nums[4]);
return 0;
} |
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
| #Go | Go | package main
import (
"fmt"
"log"
"math/big"
"sort"
"strings"
)
var testCases = []string{
"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",
}
// a parsed representation
type oid []big.Int
// "constructor" parses string representation
func newOid(s string) oid {
ns := strings.Split(s, ".")
os := make(oid, len(ns))
for i, n := range ns {
if _, ok := os[i].SetString(n, 10); !ok || os[i].Sign() < 0 {
return nil
}
}
return os
}
// "stringer" formats into string representation
func (o oid) String() string {
s := make([]string, len(o))
for i, n := range o {
s[i] = n.String()
}
return strings.Join(s, ".")
}
func main() {
// parse test cases
os := make([]oid, len(testCases))
for i, s := range testCases {
os[i] = newOid(s)
if os[i] == nil {
log.Fatal("invalid OID")
}
}
// sort
sort.Slice(os, func(i, j int) bool {
// "less" function must return true if os[i] < os[j]
oi := os[i]
for x, v := range os[j] {
// lexicographic defintion: less if prefix or if element is <
if x == len(oi) || oi[x].Cmp(&v) < 0 {
return true
}
if oi[x].Cmp(&v) > 0 {
break
}
}
return false
})
// output sorted list
for _, o := range os {
fmt.Println(o)
}
} |
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
| #F.23 | F# | let sortDisjointSubarray data indices =
let indices = Set.toArray indices // creates a sorted array
let result = Array.copy data
Array.map (Array.get data) indices
|> Array.sort
|> Array.iter2 (Array.set result) indices
result
printfn "%A" (sortDisjointSubarray [|7;6;5;4;3;2;1;0|] (set [6;1;7])) |
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).
| #Phix | Phix | with javascript_semantics
sequence test = {{"UK","London"},
{"US","New York"},
{"US","Birmingham"},
{"UK","Birmingham"}}
---------------------
-- probably stable --
---------------------
function cmp(object a, object b)
return compare(a[2],b[2])
end function
pp(custom_sort(cmp,deep_copy(test)),{pp_Nest,1})
-----------------------
-- guaranteed stable --
-----------------------
function tag_cmp(integer i, integer j)
integer c = compare(test[i][2],test[j][2])
if c=0 then c = compare(i,j) end if -- (see note)
return c
end function
sequence tags = custom_sort(tag_cmp,shuffle(tagset(4)))
pp(extract(test,tags),{pp_Nest,1})
|
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).
| #PHP | PHP |
# First, define a bernoulli sample, of length 26.
x <- sample(c(0, 1), 26, replace=T)
x
# [1] 1 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 0 1 0 1 0 1 1 0 1 0
# Give names to the entries. "letters" is a builtin value
names(x) <- letters
x
# a b c d e f g h i j k l m n o p q r s t u v w x y z
# 1 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 0 1 0 1 0 1 1 0 1 0
# The unstable one, see how "a" appears after "l" now
sort(x, method="quick")
# z h s u e q x n j r t v w y p o m l a i g f d c b k
# 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
# The stable sort, letters are ordered in each section
sort(x, method="shell")
# e h j n q s u x z a b c d f g i k l m o p r t v w y
# 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 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.
| #Nim | Nim | proc sortThree[T](a, b, c: var T) =
# Bubble sort, why not?
while not (a <= b and b <= c):
if a > b: swap a, b
if b > c: swap b, c
proc testWith[T](a, b, c: T) =
var (x, y, z) = (a, b, c)
echo "Before: ", x, ", ", y, ", ", z
sortThree(x, y, z)
echo "After: ", x, ", ", y, ", ", z
testWith(6, 4, 2)
testWith(0.9, -37.1, 4.0)
testWith("lions", "tigers", "bears") |
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.
| #OCaml | OCaml | let sortrefs list =
let sorted = List.map ( ! ) list
|> List.sort (fun a b ->
if a < b then -1 else
if a > b then 1 else
0) in
List.iter2 (fun v x -> v := x) list sorted
open Printf
let test () =
let x = ref "lions, tigers, and" in
let y = ref "bears, oh my!" in
let z = ref "(from the \"Wizard of OZ\")" in
sortrefs [x; y; z];
print_endline "case 1:";
printf "\tx: %s\n" !x;
printf "\ty: %s\n" !y;
printf "\tz: %s\n" !z;
let x = ref 77444 in
let y = ref (-12) in
let z = ref 0 in
sortrefs [x; y; z];
print_endline "case 1:";
printf "\tx: %d\n" !x;
printf "\ty: %d\n" !y;
printf "\tz: %d\n" !z |
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.
| #J | J | mycmp=: 1 :'/:u'
length_and_lex =: (-@:# ; lower)&>
strings=: 'Here';'are';'some';'sample';'strings';'to';'be';'sorted'
length_and_lex mycmp strings
+-------+------+------+----+----+---+--+--+
|strings|sample|sorted|Here|some|are|be|to|
+-------+------+------+----+----+---+--+--+ |
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.
| #Java | Java | import java.util.Comparator;
import java.util.Arrays;
public class Test {
public static void main(String[] args) {
String[] strings = {"Here", "are", "some", "sample", "strings", "to", "be", "sorted"};
Arrays.sort(strings, new Comparator<String>() {
public int compare(String s1, String s2) {
int c = s2.length() - s1.length();
if (c == 0)
c = s1.compareToIgnoreCase(s2);
return c;
}
});
for (String s: strings)
System.out.print(s + " ");
}
} |
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
| #Scala | Scala | object CombSort extends App {
val ia = Array(28, 44, 46, 24, 19, 2, 17, 11, 25, 4)
val ca = Array('X', 'B', 'E', 'A', 'Z', 'M', 'S', 'L', 'Y', 'C')
def sorted[E](input: Array[E])(implicit ord: Ordering[E]): Array[E] = {
import ord._
var gap = input.length
var swapped = true
while (gap > 1 || swapped) {
if (gap > 1) gap = (gap / 1.3).toInt
swapped = false
for (i <- 0 until input.length - gap)
if (input(i) >= input(i + gap)) {
val t = input(i)
input(i) = input(i + gap)
input(i + gap) = t
swapped = true
}
}
input
}
println(s"Unsorted : ${ia.mkString("[", ", ", "]")}")
println(s"Sorted : ${sorted(ia).mkString("[", ", ", "]")}\n")
println(s"Unsorted : ${ca.mkString("[", ", ", "]")}")
println(s"Sorted : ${sorted(ca).mkString("[", ", ", "]")}")
} |
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.
| #Qi | Qi |
(define remove-element
0 [_ | R] -> R
Pos [A | R] -> [A | (remove-element (1- Pos) R)])
(define get-element
Pos R -> (nth (1+ Pos) R))
(define shuffle-0
Pos R -> [(get-element Pos R) | (shuffle (remove-element Pos R))])
(define shuffle
[] -> []
R -> (shuffle-0 (RANDOM (length R)) R))
(define in-order?
[] -> true
[A] -> true
[A B | R] -> (in-order? [B | R]) where (<= A B)
_ -> false)
(define bogosort
Suggestion -> Suggestion where (in-order? Suggestion)
Suggestion -> (bogosort (shuffle Suggestion)))
|
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.
| #EchoLisp | EchoLisp |
;; sorts a vector of objects in place
;; proc is an user defined comparison procedure
(define (bubble-sort V proc)
(define length (vector-length V))
(for* ((i (in-range 0 (1- length))) (j (in-range (1+ i) length)))
(unless (proc (vector-ref V i) (vector-ref V j)) (vector-swap! V i j)))
V)
(define V #( albert antoinette elvis zen simon))
(define (sort/length a b) ;; sort by string length
(< (string-length a) (string-length b)))
(bubble-sort V sort/length)
→ #(zen simon elvis albert antoinette)
|
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.
| #MAXScript | MAXScript | fn gnomeSort arr =
(
local i = 2
local j = 3
while i <= arr.count do
(
if arr[i-1] <= arr[i] then
(
i = j
j += 1
)
else
(
swap arr[i-1] arr[i]
i -= 1
if i == 1 then
(
i = j
j += 1
)
)
)
return 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.
| #Ruby | Ruby | class Array
def beadsort
map {|e| [1] * e}.columns.columns.map(&:length)
end
def columns
y = length
x = map(&:length).max
Array.new(x) do |row|
Array.new(y) { |column| self[column][row] }.compact # Remove nils.
end
end
end
# Demonstration code:
p [5,3,1,7,4,1,1].beadsort |
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
| #Kotlin | Kotlin | // version 1.1.0
fun cocktailSort(a: IntArray) {
fun swap(i: Int, j: Int) {
val temp = a[i]
a[i] = a[j]
a[j] = temp
}
do {
var swapped = false
for (i in 0 until a.size - 1)
if (a[i] > a[i + 1]) {
swap(i, i + 1)
swapped = true
}
if (!swapped) break
swapped = false
for (i in a.size - 2 downTo 0)
if (a[i] > a[i + 1]) {
swap(i, i + 1)
swapped = true
}
}
while (swapped)
}
fun main(args: Array<String>) {
val aa = arrayOf(
intArrayOf(100, 2, 56, 200, -52, 3, 99, 33, 177, -199),
intArrayOf(4, 65, 2, -31, 0, 99, 2, 83, 782, 1),
intArrayOf(62, 83, 18, 53, 7, 17, 95, 86, 47, 69, 25, 28)
)
for (a in aa) {
cocktailSort(a)
println(a.joinToString(", "))
}
} |
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
| #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
knightMoves = {(1,-2),(2,-1),(2,1),(1,2),(-1,2),(-2,1),(-2,-1),(-1,-2)};
private (int dx, int dy)[] moves;
public static void Main()
{
var knightSolver = new Solver(knightMoves);
Print(knightSolver.Solve(true,
".000....",
".0.00...",
".0000000",
"000..0.0",
"0.0..000",
"1000000.",
"..00.0..",
"...000.."));
Print(knightSolver.Solve(true,
".....0.0.....",
".....0.0.....",
"....00000....",
".....000.....",
"..0..0.0..0..",
"00000...00000",
"..00.....00..",
"00000...00000",
"..0..0.0..0..",
".....000.....",
"....00000....",
".....0.0.....",
".....0.0....."
));
}
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/SOAP | SOAP | In this task, the goal is to create a SOAP client which accesses functions defined at http://example.com/soap/wsdl, and calls the functions soapFunc( ) and anotherSoapFunc( ).
This task has been flagged for clarification. Code on this page in its current state may be flagged incorrect once this task has been clarified. See this page's Talk page for discussion.
| #ActionScript | ActionScript | import mx.rpc.soap.WebService;
import mx.rpc.events.ResultEvent;
var ws:WebService = new WebService();
ws.wsdl = 'http://example.com/soap/wsdl';
ws.soapFunc.addEventListener("result",soapFunc_Result);
ws.anotherSoapFunc.addEventListener("result",anotherSoapFunc_Result);
ws.loadWSDL();
ws.soapFunc();
ws.anotherSoapFunc();
// method invocation callback handlers
private function soapFunc_Result(event:ResultEvent):void {
// do something
}
private function anotherSoapFunc_Result(event:ResultEvent):void {
// do another something
} |
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
| #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 := [[-1],[-1]]
nCells := maxCols := 0
every line := !&input do {
put(p,[: -1 | -1 | gencells(line) | -1 | -1 :])
maxCols <:= *p[-1]
}
every put(p, [-1]|[-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["#"] := -1; cMap["_"] := 0
cMap[-1] := " "; 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; end
method visit(r,c)
if /best & validPos(r,c) then return Pos(r,c)
end
method validPos(r,c)
v := val+1
xv := (0 <= puzzle[r][c]) | fail
if xv = (v|0) then { # make sure this path hasn't already gone there
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-3,loc.c), self, val)
QMouse(puzzle, visit(loc.r-2,loc.c-2), self, val)
QMouse(puzzle, visit(loc.r, loc.c-3), self, val)
QMouse(puzzle, visit(loc.r+2,loc.c-2), self, val)
QMouse(puzzle, visit(loc.r+3,loc.c), self, val)
QMouse(puzzle, visit(loc.r+2,loc.c+2), self, val)
QMouse(puzzle, visit(loc.r, loc.c+3), self, val)
QMouse(puzzle, visit(loc.r-2,loc.c+2), self, val)
end |
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.
| #Babel | Babel | babel> baz ([map "foo" 3 "bar" 17] [map "foo" 4 "bar" 18] [map "foo" 5 "bar" 19] [map "foo" 0 "bar" 20]) <
babel> bop baz { <- "foo" lumap ! -> "foo" lumap ! lt? } lssort ! <
babel> bop {"foo" lumap !} over ! lsnum !
( 0 3 4 5 ) |
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.
| #BBC_BASIC | BBC BASIC | INSTALL @lib$+"SORTSALIB"
sort% = FN_sortSAinit(0,0)
DIM pair{name$, number%}
DIM array{(10)} = pair{}
FOR i% = 1 TO DIM(array{()}, 1)
READ array{(i%)}.name$, array{(i%)}.number%
NEXT
DATA "Eight", 8, "Two", 2, "Five", 5, "Nine", 9, "One", 1
DATA "Three", 3, "Six", 6, "Seven", 7, "Four", 4, "Ten", 10
C% = DIM(array{()}, 1)
D% = 1
CALL sort%, array{()}, array{(0)}.number%, array{(0)}.name$
FOR i% = 1 TO DIM(array{()}, 1)
PRINT array{(i%)}.name$, array{(i%)}.number%
NEXT |
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.)
| #REXX | REXX | /*REXX pgm sorts an array of integers (can be negative) using the count─sort algorithm.*/
$= '1 3 6 2 7 13 20 12 21 11 22 10 23 9 24 8 25 43 62 42 63 41 18 42 17 43 16 44 15 45 14 46 79 113 78 114 77 39 78 38'
#= words($); w= length(#); !.= 0 /* [↑] a list of some Recaman numbers.*/
m= 1; LO= word($, #); HI= LO /*M: max width of any integer in $ list*/
do j=1 for #; z= word($, j)+0; @.j= z; m= max(m, length(z) ) /*get from $ list*/
!.z= !.z + 1; LO= min(LO, z); HI= max(HI, z) /*find LO and HI.*/
end /*j*/
/*W: max index width for the @. array.*/
call show 'before sort: '; say copies('▓', 55) /*show the before array elements. */
call countSort # /*sort a number of entries of @. array.*/
call show ' after sort: ' /*show the after array elements. */
exit /*stick a fork in it, we're all done. */
/*──────────────────────────────────────────────────────────────────────────────────────*/
countSort: parse arg N; x= 1; do k=LO to HI; do x=x for !.k; @.x= k; end /*x*/
end /*k*/
return
/*──────────────────────────────────────────────────────────────────────────────────────*/
show: do s=1 for #; say right("element",20) right(s,w) arg(1) right(@.s,m); end; return |
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).
| #C.2B.2B | C++ | #include <array>
#include <iostream>
#include <vector>
std::vector<std::pair<int, int>> connections = {
{0, 2}, {0, 3}, {0, 4}, // A to C,D,E
{1, 3}, {1, 4}, {1, 5}, // B to D,E,F
{6, 2}, {6, 3}, {6, 4}, // G to C,D,E
{7, 3}, {7, 4}, {7, 5}, // H to D,E,F
{2, 3}, {3, 4}, {4, 5}, // C-D, D-E, E-F
};
std::array<int, 8> pegs;
int num = 0;
void printSolution() {
std::cout << "----- " << num++ << " -----\n";
std::cout << " " /* */ << pegs[0] << ' ' << pegs[1] << '\n';
std::cout << pegs[2] << ' ' << pegs[3] << ' ' << pegs[4] << ' ' << pegs[5] << '\n';
std::cout << " " /* */ << pegs[6] << ' ' << pegs[7] << '\n';
std::cout << '\n';
}
bool valid() {
for (size_t i = 0; i < connections.size(); i++) {
if (abs(pegs[connections[i].first] - pegs[connections[i].second]) == 1) {
return false;
}
}
return true;
}
void solution(int le, int ri) {
if (le == ri) {
if (valid()) {
printSolution();
}
} else {
for (size_t i = le; i <= ri; i++) {
std::swap(pegs[le], pegs[i]);
solution(le + 1, ri);
std::swap(pegs[le], pegs[i]);
}
}
}
int main() {
pegs = { 1, 2, 3, 4, 5, 6, 7, 8 };
solution(0, pegs.size() - 1);
return 0;
} |
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
| #Mathematica.2FWolfram_Language | Mathematica/Wolfram Language | ClearAll[NeighbourQ, CellDistance, VisualizeHidato, HiddenSingle, \
NakedN, HiddenN, ChainSearch, HidatoSolve, Cornering, ValidPuzzle, \
GapSearch, ReachDelete, GrowNeighbours]
NeighbourQ[cell1_, cell2_] := (CellDistance[cell1, cell2] === 1)
ValidPuzzle[cells_List, cands_List] :=
MemberQ[cands, {1}] \[And] MemberQ[cands, {Length[cells]}] \[And]
Length[cells] == Length[candidates] \[And]
MinMax[Flatten[cands]] === {1,
Length[cells]} \[And] (Union @@ cands === Range[Length[cells]])
CellDistance[cell1_, cell2_] := ManhattanDistance[cell1, cell2]
VisualizeHidato[cells_List, cands_List, path_ : {}] :=
Module[{grid, nums, cb, hx, pt},
grid = {EdgeForm[Thick],
MapThread[
If[Length[#2] > 1, {FaceForm[],
Rectangle[#1]}, {FaceForm[LightGray],
Rectangle[#1]}] &, {cells, cands}]};
nums =
MapThread[
If[Length[#1] == 1, Text[Style[First[#1], 16], #2 + 0.5 {1, 1}],
Text[
Tooltip[Style[Length[#1], Red, 10], #1], #2 +
0.5 {1, 1}]] &, {cands, cells}];
cb = CoordinateBounds[cells];
If[Length[path] > 0,
pt = Arrow[# + {0.5, 0.5} & /@ cells[[path]]];
,
pt = {};
];
Graphics[{grid, nums, pt},
PlotRange -> cb + {{-0.5, 1.5}, {-0.5, 1.5}},
ImageSize -> 60 (1 + cb[[1, 2]] - cb[[1, 1]])]
]
HiddenSingle[cands_List] := Module[{singles, newcands = cands},
singles = Cases[Tally[Flatten[cands]], {_, 1}];
If[Length[singles] > 0,
singles = Sort[singles[[All, 1]]];
newcands =
If[ContainsAny[#, singles], Intersection[#, singles], #] & /@
newcands;
newcands
,
cands
]
]
HiddenN[cands_List, n_Integer?(# > 1 &)] := Module[{tmp, out},
tmp = cands;
tmp = Join @@ MapIndexed[{#1, First[#2]} &, tmp, {2}];
tmp = Transpose /@ GatherBy[tmp, First];
tmp[[All, 1]] = tmp[[All, 1, 1]];
tmp = Select[tmp, 2 <= Length[Last[#]] <= n &];
If[Length[tmp] > 0,
tmp = Transpose /@ Subsets[tmp, {n}];
tmp[[All, 2]] = Union @@@ tmp[[All, 2]];
tmp = Select[tmp, Length[Last[#]] == n &];
If[Length[tmp] > 0,
(* for each tmp {cands,
cells} in each of the cells delete everything except the cands *)
out = cands;
Do[
Do[
out[[c]] = Select[out[[c]], MemberQ[t[[1]], #] &];
,
{c, t[[2]]}
]
,
{t, tmp}
];
out
,
cands
]
,
cands
]
]
NakedN[cands_List, n_Integer?(# > 1 &)] := Module[{tmp, newcands, ids},
tmp = {Range[Length[cands]], cands}\[Transpose];
tmp = Select[tmp, 2 <= Length[Last[#]] <= n &];
If[Length[tmp] > 0,
tmp = Transpose /@ Subsets[tmp, {n}];
tmp[[All, 2]] = Union @@@ tmp[[All, 2]];
tmp = Select[tmp, Length[Last[#]] == n &];
If[Length[tmp] > 0,
newcands = cands;
Do[
ids = Complement[Range[Length[newcands]], t[[1]]];
newcands[[ids]] =
DeleteCases[newcands[[ids]],
Alternatives @@ t[[2]], \[Infinity]];
,
{t, tmp}
];
newcands
,
cands
]
,
cands
]
]
Cornering[cells_List, cands_List] :=
Module[{newcands, neighbours, filled, neighboursfiltered, cellid,
filledneighours, begin, end, beginend},
filled = Flatten[MapIndexed[If[Length[#1] == 1, #2, {}] &, cands]];
begin = If[MemberQ[cands, {1}], {}, {1}];
end = If[MemberQ[cands, {Length[cells]}], {}, {Length[cells]}];
beginend = Join[begin, end];
neighbours = Outer[NeighbourQ, cells, cells, 1];
neighbours =
Association[
MapIndexed[
First[#2] -> {Complement[Flatten[Position[#1, True]], filled],
Intersection[Flatten[Position[#1, True]], filled]} &,
neighbours]];
KeyDropFrom[neighbours, filled];
neighbours = Select[neighbours, Length[First[#]] == 1 &];
If[Length[neighbours] > 0,
newcands = cands;
neighbours = KeyValueMap[List, neighbours];
Do[
cellid = n[[1]];
filledneighours = n[[2, 2]];
filledneighours = Join @@ cands[[filledneighours]];
filledneighours =
Union[filledneighours - 1, filledneighours + 1];
filledneighours = Union[filledneighours, beginend];
newcands[[cellid]] =
Intersection[newcands[[cellid]], filledneighours];
,
{n, neighbours}
];
newcands
,
cands
]
]
ChainSearch[cells_, cands_] := Module[{neighbours, sols, out},
neighbours = Outer[NeighbourQ, cells, cells, 1];
neighbours =
Association[
MapIndexed[First[#2] -> Flatten[Position[#1, True]] &,
neighbours]];
sols = Reap[ChainSearch[neighbours, cands, {}];][[2]];
If[Length[sols] > 0,
sols = sols[[1]];
If[Length[sols] > 1,
Print["multiple solutions found, showing first"];
];
sols = First[sols];
out = cands;
out[[sols]] = List /@ Range[Length[out]];
out
,
cands
]
]
ChainSearch[neighbours_, cands_List, solcellids_List] :=
Module[{largest, largestid, next, poss},
largest = Length[solcellids];
largestid = Last[solcellids, 0];
If[largest < Length[cands],
next = largest + 1;
poss =
Flatten[MapIndexed[If[MemberQ[#1, next], First[#2], {}] &, cands]];
If[Length[poss] > 0,
If[largest > 0,
poss = Intersection[poss, neighbours[largestid]];
];
poss = Complement[poss, solcellids]; (* can't be in previous path*)
If[Length[poss] > 0, (* there are 'next' ones iterate over,
calling this function *)
Do[
ChainSearch[neighbours, cands, Append[solcellids, p]]
,
{p, poss}
]
]
,
Print["There should be a next!"];
Abort[];
]
,
Sow[solcellids] (*
we found a solution with this ordering of cells *)
]
]
GrowNeighbours[neighbours_, set_List] :=
Module[{lastdone, ids, newneighbours, old},
old = Join @@ set[[All, All, 1]];
lastdone = Last[set];
ids = lastdone[[All, 1]];
newneighbours = Union @@ (neighbours /@ ids);
newneighbours = Complement[newneighbours, old]; (*only new ones*)
If[Length[newneighbours] > 0,
Append[set, Thread[{newneighbours, lastdone[[1, 2]] + 1}]]
,
set
]
]
ReachDelete[cells_List, cands_List, neighbours_, startid_] :=
Module[{seed, distances, val, newcands},
If[MatchQ[cands[[startid]], {_}],
val = cands[[startid, 1]];
seed = {{{startid, 0}}};
distances =
Join @@ FixedPoint[GrowNeighbours[neighbours, #] &, seed];
If[Length[distances] > 0,
distances = Select[distances, Last[#] > 0 &];
If[Length[distances] > 0,
newcands = cands;
distances[[All, 2]] =
Transpose[
val + Outer[Times, {-1, 1}, distances[[All, 2]] - 1]];
Do[newcands[[\[CurlyPhi][[1]]]] =
Complement[newcands[[\[CurlyPhi][[1]]]],
Range @@ \[CurlyPhi][[2]]];
, {\[CurlyPhi], distances}
];
newcands
,
cands
]
,
cands
]
,
Print["invalid starting point for neighbour search"];
Abort[];
]
]
GapSearch[cells_List, cands_List] :=
Module[{givensid, givens, neighbours},
givensid = Flatten[Position[cands, {_}]];
givens = {cells[[givensid]], givensid,
Flatten[cands[[givensid]]]}\[Transpose];
If[Length[givens] > 0,
givens = SortBy[givens, Last];
givens = Split[givens, Last[#2] == Last[#1] + 1 &];
givens = If[Length[#] <= 2, #, #[[{1, -1}]]] & /@ givens;
If[Length[givens] > 0,
givens = Join @@ givens;
If[Length[givens] > 0,
neighbours = Outer[NeighbourQ, cells, cells, 1];
neighbours =
Association[
MapIndexed[First[#2] -> Flatten[Position[#1, True]] &,
neighbours]];
givens = givens[[All, 2]];
Fold[ReachDelete[cells, #1, neighbours, #2] &, cands, givens]
,
cands
]
,
cands
]
,
cands
]
]
HidatoSolve[cells_List, cands_List] :=
Module[{newcands = cands, old},
Print@VisualizeHidato[cells, newcands];
If[ValidPuzzle[cells, cands] \[Or] 1 == 1,
old = -1;
newcands = GapSearch[cells, newcands];
While[old =!= newcands,
old = newcands;
newcands = GapSearch[cells, newcands];
If[old === newcands,
newcands = HiddenSingle[newcands];
If[old === newcands,
newcands = NakedN[newcands, 2];
newcands = HiddenN[newcands, 2];
If[old === newcands,
newcands = NakedN[newcands, 3];
newcands = HiddenN[newcands, 3];
If[old === newcands,
newcands = Cornering[cells, newcands];
If[old === newcands,
newcands = NakedN[newcands, 4];
newcands = HiddenN[newcands, 4];
If[old === newcands \[And] 2 == 3,
newcands = NakedN[newcands, 5];
newcands = HiddenN[newcands, 5];
If[old === newcands,
newcands = NakedN[newcands, 6];
newcands = HiddenN[newcands, 6];
If[old === newcands,
newcands = NakedN[newcands, 7];
newcands = HiddenN[newcands, 7];
If[old === newcands,
newcands = NakedN[newcands, 8];
newcands = HiddenN[newcands, 8];
]
]
]
]
]
]
]
]
]
];
If[Length[Flatten[newcands]] > Length[newcands], (*
if not solved do a depth-first brute force search*)
newcands = ChainSearch[cells, newcands];
];
Print@VisualizeHidato[cells, newcands];
newcands
,
Print[
"There seems to be something wrong with your Hidato puzzle. Check \
if the begin and endpoints are given, the cells and candidates have \
the same length, all the numbers are among the \
candidates\[Ellipsis]"]
]
]
puzz = "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";
puzz = StringSplit[#, " "] & /@
StringSplit[StringReplace[puzz, " " -> " "], "\n"];
puzz = Map[StringTrim /* ToExpression, puzz, {2}];
puzz //= Transpose;
puzz //= Map[Reverse];
pos = Position[puzz, Except[0], {2}, Heads -> False];
clues = Thread[{pos, List /@ Extract[puzz, pos]}];
cells = Tuples[Range[9], 2];
candidates = ConstantArray[Range@Length[cells], Length[cells]];
indices = Flatten[Position[cells, #] & /@ clues[[All, 1]]];
candidates[[indices]] = clues[[All, 2]];
out = HidatoSolve[cells, candidates];
puzz = " 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";
puzz = StringSplit[#, " "] & /@
StringSplit[StringReplace[puzz, " " -> " "], "\n"];
puzz = Map[StringTrim /* ToExpression, puzz, {2}];
puzz //= Transpose;
puzz //= Map[Reverse];
pos = Position[puzz, Except[0], {2}, Heads -> False];
clues = Thread[{pos, List /@ Extract[puzz, pos]}];
cells = Tuples[Range[9], 2];
candidates = ConstantArray[Range@Length[cells], Length[cells]];
indices = Flatten[Position[cells, #] & /@ clues[[All, 1]]];
candidates[[indices]] = clues[[All, 2]];
out = HidatoSolve[cells, candidates]; |
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
| #Nim | Nim | import algorithm, sequtils, strformat, strutils
const Moves = [(1, 0), (0, 1), (-1, 0), (0, -1)]
type Numbrix = object
grid: seq[seq[int]]
clues: seq[int]
totalToFill: Natural
startRow, startCol : Natural
proc initNumbrix(board: openArray[string]): Numbrix =
let nRows = board.len + 2
let nCols = board[0].split(',').len + 2
result.grid = newSeqWith(nRows, repeat(-1, nCols))
result.totalToFill = (nRows - 2) * (nCols - 2)
var list: seq[int]
for r in 0..board.high:
let row = board[r].split(',')
for c in 0..row.high:
let val = parseInt(row[c])
result.grid[r + 1][c + 1] = val
if val > 0:
list.add val
if val == 1:
result.startRow = r + 1
result.startCol = c + 1
list.sort()
result.clues = list
proc solve(numbrix: var Numbrix; row, col, count: Natural; nextClue: int): bool =
if count > numbrix.totalToFill:
return true
let back = numbrix.grid[row][col]
if back notin [0, count]:
return false
if back == 0 and nextClue < numbrix.clues.len and numbrix.clues[nextClue] == count:
return false
var nextClue = nextClue
if back == count: inc nextClue
numbrix.grid[row][col] = count
for move in Moves:
if numbrix.solve(row + move[1], col + move[0], count + 1, nextClue):
return true
numbrix.grid[row][col] = back
proc print(numbrix: Numbrix) =
for row in numbrix.grid:
for val in row:
if val != -1:
stdout.write &"{val:2} "
echo()
when isMainModule:
const
Example1 = ["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"]
Example2 = ["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"]
for i, board in [1: Example1, 2: Example2]:
var numbrix = initNumbrix(board)
if numbrix.solve(numbrix.startRow, numbrix.startCol, 1, 0):
echo &"Solution for example {i}:"
numbrix.print()
else:
echo "No 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.
| #C.23 | C# | using System;
using System.Collections.Generic;
public class Program {
static void Main() {
int[] unsorted = { 6, 2, 7, 8, 3, 1, 10, 5, 4, 9 };
Array.Sort(unsorted);
}
} |
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.
| #C.2B.2B | C++ | #include <algorithm>
int main()
{
int nums[] = {2,4,3,1,2};
std::sort(nums, nums+sizeof(nums)/sizeof(int));
return 0;
} |
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
| #Haskell | Haskell | import Data.List ( sort , intercalate )
splitString :: Eq a => (a) -> [a] -> [[a]]
splitString c [] = []
splitString c s = let ( item , rest ) = break ( == c ) s
( _ , next ) = break ( /= c ) rest
in item : splitString c next
convertIntListToString :: [Int] -> String
convertIntListToString = intercalate "." . map show
orderOID :: [String] -> [String]
orderOID = map convertIntListToString . sort . map ( map read . splitString '.' )
oid :: [String]
oid = ["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"]
main :: IO ( )
main = do
mapM_ putStrLn $ orderOID oid |
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
| #Factor | Factor | : disjoint-sort! ( values indices -- values' )
over <enumerated> nths unzip swap [ natural-sort ] bi@
pick [ set-nth ] curry 2each ; |
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
| #Fortran | Fortran | program Example
implicit none
integer :: array(8) = (/ 7, 6, 5, 4, 3, 2, 1, 0 /)
integer :: indices(3) = (/ 7, 2, 8 /)
! In order to make the output insensitive to index order
! we need to sort the indices first
call Isort(indices)
! Should work with any sort routine as long as the dummy
! argument array has been declared as an assumed shape array
! Standard insertion sort used in this example
call Isort(array(indices))
write(*,*) array
contains
subroutine Isort(a)
integer, intent(in out) :: a(:)
integer :: temp
integer :: i, j
do i = 2, size(a)
j = i - 1
temp = a(i)
do while (j>=1 .and. a(j)>temp)
a(j+1) = a(j)
j = j - 1
end do
a(j+1) = temp
end do
end subroutine Isort
end program Example |
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).
| #PicoLisp | PicoLisp |
# First, define a bernoulli sample, of length 26.
x <- sample(c(0, 1), 26, replace=T)
x
# [1] 1 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 0 1 0 1 0 1 1 0 1 0
# Give names to the entries. "letters" is a builtin value
names(x) <- letters
x
# a b c d e f g h i j k l m n o p q r s t u v w x y z
# 1 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 0 1 0 1 0 1 1 0 1 0
# The unstable one, see how "a" appears after "l" now
sort(x, method="quick")
# z h s u e q x n j r t v w y p o m l a i g f d c b k
# 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
# The stable sort, letters are ordered in each section
sort(x, method="shell")
# e h j n q s u x z a b c d f g i k l m o p r t v w y
# 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
|
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).
| #PureBasic | PureBasic |
# First, define a bernoulli sample, of length 26.
x <- sample(c(0, 1), 26, replace=T)
x
# [1] 1 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 0 1 0 1 0 1 1 0 1 0
# Give names to the entries. "letters" is a builtin value
names(x) <- letters
x
# a b c d e f g h i j k l m n o p q r s t u v w x y z
# 1 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 0 1 0 1 0 1 1 0 1 0
# The unstable one, see how "a" appears after "l" now
sort(x, method="quick")
# z h s u e q x n j r t v w y p o m l a i g f d c b k
# 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
# The stable sort, letters are ordered in each section
sort(x, method="shell")
# e h j n q s u x z a b c d f g i k l m o p r t v w y
# 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
|
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).
| #Python | Python |
# First, define a bernoulli sample, of length 26.
x <- sample(c(0, 1), 26, replace=T)
x
# [1] 1 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 0 1 0 1 0 1 1 0 1 0
# Give names to the entries. "letters" is a builtin value
names(x) <- letters
x
# a b c d e f g h i j k l m n o p q r s t u v w x y z
# 1 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 0 1 0 1 0 1 1 0 1 0
# The unstable one, see how "a" appears after "l" now
sort(x, method="quick")
# z h s u e q x n j r t v w y p o m l a i g f d c b k
# 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
# The stable sort, letters are ordered in each section
sort(x, method="shell")
# e h j n q s u x z a b c d f g i k l m o p r t v w y
# 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
|
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).
| #Quackery | Quackery |
# First, define a bernoulli sample, of length 26.
x <- sample(c(0, 1), 26, replace=T)
x
# [1] 1 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 0 1 0 1 0 1 1 0 1 0
# Give names to the entries. "letters" is a builtin value
names(x) <- letters
x
# a b c d e f g h i j k l m n o p q r s t u v w x y z
# 1 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 0 1 0 1 0 1 1 0 1 0
# The unstable one, see how "a" appears after "l" now
sort(x, method="quick")
# z h s u e q x n j r t v w y p o m l a i g f d c b k
# 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
# The stable sort, letters are ordered in each section
sort(x, method="shell")
# e h j n q s u x z a b c d f g i k l m o p r t v w y
# 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 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.
| #Pascal | Pascal | program sortThreeVariables(output);
type
{ this Extended Pascal data type may hold up to 25 `char` values }
line = string(25);
{ this procedure sorts two lines }
procedure sortLines(var X, Y: line);
{ nested procedure allocates space for Z only if needed }
procedure swap;
var
Z: line;
begin
Z := X;
X := Y;
Y := Z
end;
begin
{ for lexical sorting write `if GT(X, Y) then` }
if X > Y then
begin
swap
end
end;
{ sorts three line variables’s values }
procedure sortThreeLines(var X, Y, Z: line);
begin
{ `var` parameters can be modified at the calling site }
sortLines(X, Y);
sortLines(X, Z);
sortLines(Y, Z)
end;
{ writes given lines on output preceded by `X = `, `Y = ` and `Z = ` }
procedure printThreeLines(protected X, Y, Z: line);
begin
{ `protected` paremeters cannot be overwritten }
writeLn('X = ', X);
writeLn('Y = ', Y);
writeLn('Z = ', Z)
end;
{ === MAIN ============================================================= }
var
A, B: line;
{ for demonstration purposes: alternative method to initialize }
C: line value '(from the "Wizard of OZ")';
begin
A := 'lions, tigers, and';
B := 'bears, oh my!';
sortThreeLines(A, B, C);
printThreeLines(A, B, C)
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.
| #JavaScript | JavaScript | function lengthSorter(a, b) {
var result = b.length - a.length;
if (result == 0)
result = a.localeCompare(b);
return result;
}
var test = ["Here", "are", "some", "sample", "strings", "to", "be", "sorted"];
test.sort(lengthSorter);
alert( test.join(' ') ); // strings sample sorted Here some are be to |
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
| #Sidef | Sidef | func comb_sort(arr) {
var gap = arr.len;
var swaps = true;
while (gap > 1 || swaps) {
gap.div!(1.25).int! if (gap > 1);
swaps = false;
for i in ^(arr.len - gap) {
if (arr[i] > arr[i+gap]) {
arr[i, i+gap] = arr[i+gap, i];
swaps = true;
}
}
}
return arr;
} |
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.
| #Quackery | Quackery | [ true swap
dup [] != if
[ behead swap witheach
[ tuck > if
[ dip not
conclude ] ] ]
drop ] is inorder ( [ --> b )
[ dup inorder not while shuffle again ] is bogosort ( [ --> [ ) |
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.
| #R | R | bogosort <- function(x) {
while(is.unsorted(x)) x <- sample(x)
x
}
n <- c(1, 10, 9, 7, 3, 0)
bogosort(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.
| #EDSAC_order_code | EDSAC order code |
[Bubble sort demo for Rosetta Code website]
[EDSAC program. Initial Orders 2]
[Sorts a list of double-word integers.
List must be loaded at an even address.
First item gives number of items to follow.
Address of list is placed in location 49.
List can then be referred to with code letter L.]
T49K
P300F [<---------- address of list here]
[Subroutine R2, reads positive integers during input of orders.
Items separated by F; list ends with #TZ.]
GKT20FVDL8FA40DUDTFI40FA40FS39FG@S2FG23FA5@T5@E4@E13Z
[Tell R2 where to store integers it reads from tape.]
T #L ['T m D' in documentation, but this also works]
[Lists of integers, comment out all except one]
[10 integers from digits of pi]
10F314159F265358F979323F846264F338327F950288F419716F939937F510582F097494#TZ
[32 integers from digits of e ]
[32F
27182818F28459045F23536028F74713526F62497757F24709369F99595749F66967627F
72407663F03535475F94571382F17852516F64274274F66391932F00305992F18174135F
96629043F57290033F42952605F95630738F13232862F79434907F63233829F88075319F
52510190F11573834F18793070F21540891F49934884F16750924F47614606F68082264#TZ]
[Library subroutine P7, prints positive integer at 0D.
35 locations; load at aneven address.]
T 56 K
GKA3FT26@H28#@NDYFLDT4DS27@TFH8@S8@T1FV4DAFG31@SFLDUFOFFFSFL4F
T4DA1FA27@G11@XFT28#ZPFT27ZP1024FP610D@524D!FO30@SFL8FE22@
[The EDSAC code below implements the following Pascal program,
where the integers to be sorted are in a 1-based array x.
Since the assembler used (EdsacPC by Martin Campbell-Kelly)
doesn't allow square brackets inside comments, they are
replaced here by curly brackets.]
[
swapped := true;
j := n; // number of items
while (swapped and (j >= 2)) do begin
swapped := false;
for i := 1 to j - 1 do begin
// Using temp in the comparison makes the EDSAC code a bit simpler
temp := x{i};
if (x{i + 1} < temp) then begin
x{i} := x{i + 1};
x{i + 1} := temp;
swapped := true;
end;
end;
dec(j);
end;
]
[Main routine]
T 100 K
G K
[0] P F P F [double-word temporary store]
[2] P F [flag for swapped, >= 0 if true, < 0 if false]
[3] P F ['A' order for x{j}; implicitly defines j]
[4] P 2 F [to change list index by 1, i.e.change address by 2]
[5] A #L ['A' order for number of items]
[6] A 2#L ['A' order for x{1}]
[7] A 4#L ['A' order for x{2}]
[8] I2046 F [add to convert 'A' order to 'T' and dec address by 2]
[9] K4096 F [(1) minimum 17-bit value (2) teleprinter null]
[10] P D [constant 1, used in printing]
[11] # F [figure shift]
[12] & F [line feed]
[13] @ F [carriage return]
[Enter here with acc = 0]
[14] T 2 @ [swapped := true]
A L [get count, n in Pascal program above]
L 1 F [times 4 by shifting]
A 5 @ [make 'A' order for x{n}; initializes j := n]
[Start 'while' loop of Pascal program.
Here acc = 'A' order for x{j}]
[18] U 3 @ [update j]
S 7 @ [subtract 'A' order for x{2}]
G 56 @ [if j < 2 then done]
T F [acc := 0]
A 2 @ [test for swapped, acc >= 0 if so]
G 56 @ [if not swapped then done]
A 9 @ [change acc from >= 0 to < 0]
T 2 @ [swapped := false until swap occurs]
A 6 @ ['A' order for x{1}; initializes i := 1]
[Start 'for' loop of Pascal program.
Here acc = 'A' order for x{i}]
[27] U 36 @ [store order]
S 3 @ [subtract 'A' order for x{j}]
E 52 @ [out of 'for' loop if i >= j]
T F [clear acc]
A 36 @ [load 'A' order for x{i}]
A 4 @ [inc address by 2]
U 38 @ [plant 'A' order for x{i + 1}]
A 8 @ ['A' to 'T', and dec address by 2]
T 42 @ [plant 'T' order for x{i}]
[36] A #L [load x{i}; this order implicitly defines i]
T #@ [temp := x{i}]
[38] A #L [load x{i + 1}]
S #@ [acc := x{i + 1} - temp]
E 49 @ [don't swap if x{i + 1} >= temp]
[Here to swap x{i} and x{i + 1}]
A #@ [restore acc := x{i + 1} after test]
[42] T #L [x{i} := x{i + 1}]
A 42 @ [load 'T' order for x{i}]
A 4 @ [inc address by 2]
T 47 @ [plant 'T' order for x{i + 1}]
A #@ [load temp]
[47] T #L [to x{i + 1}]
T 2 @ [swapped := 0 (true)]
[49] T F [clear acc]
A 38 @ [load 'A' order for x{i + 1}]
G 27 @ [loop (unconditional) to inc i]
[52] T F
A 3 @ [load 'A' order for x{j}]
S 4 @ [dec address by 2]
G 18 @ [loop (unconditional) to dec j]
[Print the sorted list of integers]
[56] O 11 @ [figure shift]
T F [clear acc]
A 5 @ [load 'A' order for head of list]
T 65 @ [plant in code below]
S L [load negative number of items]
[61] T @ [use first word of temp store for count]
A 65 @ [load 'A' order for item]
A 4 @ [inc address by 2]
T 65 @ [store back]
[65] A #L [load next item in list]
T D [to 0D for printing]
[67] A 67 @ [for subroutine return]
G 56 F [print integer, clears acc]
O 13 @ [print CR]
O 12 @ [print LF]
A @ [negative count]
A 10 @ [add 1]
G 61 @ [loop back till count = 0]
[74] O 9 @ [null to flush teleprinter buffer]
Z F [stop]
E 14 Z [define entry point]
P F [acc = 0 on entry]
|
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.
| #Metafont | Metafont | def gnomesort(suffix v)(expr n) =
begingroup save i, j, t;
i := 1; j := 2;
forever: exitif not (i < n);
if v[i-1] <= v[i]:
i := j; j := j + 1;
else:
t := v[i-1];
v[i-1] := v[i];
v[i] := t;
i := i - 1;
i := if i=0: j; j := j + 1 else: i fi;
fi
endfor
endgroup enddef; |
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.
| #Seed7 | Seed7 | $ include "seed7_05.s7i";
const proc: beadSort (inout array integer: a) is func
local
var integer: max is 0;
var integer: sum is 0;
var array bitset: beads is 0 times {};
var integer: i is 0;
var integer: j is 0;
begin
beads := length(a) times {};
for i range 1 to length(a) do
if a[i] > max then
max := a[i];
end if;
beads[i] := {1 .. a[i]};
end for;
for j range 1 to max do
sum := 0;
for i range 1 to length(a) do
sum +:= ord(j in beads[i]);
excl(beads[i], j);
end for;
for i range length(a) - sum + 1 to length(a) do
incl(beads[i], j);
end for;
end for;
for i range 1 to length(a) do
for j range 1 to max until j not in beads[i] do
noop;
end for;
a[i] := pred(j);
end for;
end func;
const proc: main is func
local
var array integer: a is [] (5, 3, 1, 7, 4, 1, 1, 20);
var integer: num is 0;
begin
beadSort(a);
for num range a do
write(num <& " ");
end for;
writeln;
end func; |
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.
| #Sidef | Sidef | func beadsort(arr) {
var rows = []
var columns = []
for datum in arr {
for column in ^datum {
++(columns[column] := 0)
++(rows[columns[column] - 1] := 0)
}
}
rows.reverse
}
say beadsort([5,3,1,7,4,1,1]) |
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
| #Lua | Lua | function cocktailSort( A )
local swapped
repeat
swapped = false
for i = 1, #A - 1 do
if A[ i ] > A[ i+1 ] then
A[ i ], A[ i+1 ] = A[ i+1 ] ,A[i]
swapped=true
end
end
if swapped == false then
break -- repeatd loop;
end
for i = #A - 1,1,-1 do
if A[ i ] > A[ i+1 ] then
A[ i ], A[ i+1 ] = A[ i+1 ] , A[ i ]
swapped=true
end
end
until swapped==false
end |
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
| #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] = -1; dy[0] = -2; dx[1] = -1; dy[1] = 2;
dx[2] = 1; dy[2] = -2; dx[3] = 1; dy[3] = 2;
dx[4] = -2; dy[4] = -1; dx[5] = -2; dy[5] = 1;
dx[6] = 2; dy[6] = -1; dx[7] = 2; dy[7] = 1;
}
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 )
{
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;
}
}
int wid, hei, max, dx[8], dy[8];
node* arr;
};
int main( int argc, char* argv[] )
{
int wid; string p;
//p = "* . . . * * * * * . * . . * * * * . . . . . . . . . . * * . * . . * . * * . . . 1 . . . . . . * * * . . * . * * * * * . . . * *"; wid = 8;
p = "* * * * * 1 * . * * * * * * * * * * . * . * * * * * * * * * . . . . . * * * * * * * * * . . . * * * * * * * . * * . * . * * . * * . . . . . * * * . . . . . * * . . * * * * * . . * * . . . . . * * * . . . . . * * . * * . * . * * . * * * * * * * . . . * * * * * * * * * . . . . . * * * * * * * * * . * . * * * * * * * * * * . * . * * * * * "; wid = 13;
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/SOAP | SOAP | In this task, the goal is to create a SOAP client which accesses functions defined at http://example.com/soap/wsdl, and calls the functions soapFunc( ) and anotherSoapFunc( ).
This task has been flagged for clarification. Code on this page in its current state may be flagged incorrect once this task has been clarified. See this page's Talk page for discussion.
| #AutoHotkey | AutoHotkey | WS_Initialize()
WS_Exec("Set client = CreateObject(""MSSOAP.SoapClient"")")
WS_Exec("client.MSSoapInit ""http://example.com/soap/wsdl""")
callhello = client.soapFunc("hello")
callanother = client.anotherSoapFunc(34234)
WS_Eval(result, callhello)
WS_Eval(result2, callanother)
Msgbox % result . "`n" . result2
WS_Uninitialize()
#Include ws4ahk.ahk ; http://www.autohotkey.net/~easycom/ws4ahk_public_api.html |
http://rosettacode.org/wiki/SOAP | SOAP | In this task, the goal is to create a SOAP client which accesses functions defined at http://example.com/soap/wsdl, and calls the functions soapFunc( ) and anotherSoapFunc( ).
This task has been flagged for clarification. Code on this page in its current state may be flagged incorrect once this task has been clarified. See this page's Talk page for discussion.
| #C | C |
#include <curl/curl.h>
#include <string.h>
#include <stdio.h>
size_t write_data(void *ptr, size_t size, size_t nmeb, void *stream){
return fwrite(ptr,size,nmeb,stream);
}
size_t read_data(void *ptr, size_t size, size_t nmeb, void *stream){
return fread(ptr,size,nmeb,stream);
}
void callSOAP(char* URL, char * inFile, char * outFile) {
FILE * rfp = fopen(inFile, "r");
if(!rfp)
perror("Read File Open:");
FILE * wfp = fopen(outFile, "w+");
if(!wfp)
perror("Write File Open:");
struct curl_slist *header = NULL;
header = curl_slist_append (header, "Content-Type:text/xml");
header = curl_slist_append (header, "SOAPAction: rsc");
header = curl_slist_append (header, "Transfer-Encoding: chunked");
header = curl_slist_append (header, "Expect:");
CURL *curl;
curl = curl_easy_init();
if(curl) {
curl_easy_setopt(curl, CURLOPT_URL, URL);
curl_easy_setopt(curl, CURLOPT_POST, 1L);
curl_easy_setopt(curl, CURLOPT_READFUNCTION, read_data);
curl_easy_setopt(curl, CURLOPT_READDATA, rfp);
curl_easy_setopt(curl, CURLOPT_WRITEFUNCTION, write_data);
curl_easy_setopt(curl, CURLOPT_WRITEDATA, wfp);
curl_easy_setopt(curl, CURLOPT_HTTPHEADER, header);
curl_easy_setopt(curl, CURLOPT_POSTFIELDSIZE_LARGE, (curl_off_t)-1);
curl_easy_setopt(curl, CURLOPT_VERBOSE,1L);
curl_easy_perform(curl);
curl_easy_cleanup(curl);
}
}
int main(int argC,char* argV[])
{
if(argC!=4)
printf("Usage : %s <URL of WSDL> <Input file path> <Output File Path>",argV[0]);
else
callSOAP(argV[1],argV[2],argV[3]);
return 0;
}
|
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
| #Java | Java | import java.util.*;
public class Hopido {
final static String[] board = {
".00.00.",
"0000000",
"0000000",
".00000.",
"..000..",
"...0..."};
final static int[][] moves = {{-3, 0}, {0, 3}, {3, 0}, {0, -3},
{2, 2}, {2, -2}, {-2, 2}, {-2, -2}};
static int[][] grid;
static int totalToFill;
public static void main(String[] args) {
int nRows = board.length + 6;
int nCols = board[0].length() + 6;
grid = new int[nRows][nCols];
for (int r = 0; r < nRows; r++) {
Arrays.fill(grid[r], -1);
for (int c = 3; c < nCols - 3; c++)
if (r >= 3 && r < nRows - 3) {
if (board[r - 3].charAt(c - 3) == '0') {
grid[r][c] = 0;
totalToFill++;
}
}
}
int pos = -1, r, c;
do {
do {
pos++;
r = pos / nCols;
c = pos % nCols;
} while (grid[r][c] == -1);
grid[r][c] = 1;
if (solve(r, c, 2))
break;
grid[r][c] = 0;
} while (pos < nRows * nCols);
printResult();
}
static boolean solve(int r, int c, int count) {
if (count > totalToFill)
return true;
List<int[]> nbrs = neighbors(r, c);
if (nbrs.isEmpty() && count != totalToFill)
return false;
Collections.sort(nbrs, (a, b) -> a[2] - b[2]);
for (int[] nb : nbrs) {
r = nb[0];
c = nb[1];
grid[r][c] = count;
if (solve(r, c, count + 1))
return true;
grid[r][c] = 0;
}
return false;
}
static List<int[]> neighbors(int r, int c) {
List<int[]> nbrs = new ArrayList<>();
for (int[] m : moves) {
int x = m[0];
int y = m[1];
if (grid[r + y][c + x] == 0) {
int num = countNeighbors(r + y, c + x) - 1;
nbrs.add(new int[]{r + y, c + x, num});
}
}
return nbrs;
}
static int countNeighbors(int r, int c) {
int num = 0;
for (int[] m : moves)
if (grid[r + m[1]][c + m[0]] == 0)
num++;
return num;
}
static void printResult() {
for (int[] row : grid) {
for (int i : row) {
if (i == -1)
System.out.printf("%2s ", ' ');
else
System.out.printf("%2d ", i);
}
System.out.println();
}
}
} |
http://rosettacode.org/wiki/Smallest_number_k_such_that_k%2B2%5Em_is_composite_for_all_m_less_than_k | Smallest number k such that k+2^m is composite for all m less than k | Generate the sequence of numbers a(k), where each k is the smallest positive integer such that k + 2m is composite for every positive integer m less than k.
For example
Suppose k == 7; test m == 1 through m == 6. If any are prime, the test fails.
Is 7 + 21 (9) prime? False
Is 7 + 22 (11) prime? True
So 7 is not an element of this sequence.
It is only necessary to test odd natural numbers k. An even number, plus any positive integer power of 2 is always composite.
Task
Find and display, here on this page, the first 5 elements of this sequence.
See also
OEIS:A033939 - Odd k for which k+2^m is composite for all m < k
| #Go | Go | package main
import (
"fmt"
big "github.com/ncw/gmp"
)
// returns true if k is a sequence member, false otherwise
func a(k int64) bool {
if k == 1 {
return false
}
bk := big.NewInt(k)
for m := uint(1); m < uint(k); m++ {
n := big.NewInt(1)
n.Lsh(n, m)
n.Add(n, bk)
if n.ProbablyPrime(15) {
return false
}
}
return true
}
func main() {
count := 0
k := int64(1)
for count < 5 {
if a(k) {
fmt.Printf("%d ", k)
count++
}
k += 2
}
fmt.Println()
} |
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.
| #Bracmat | Bracmat | ( (tab=("C++",1979)+(Ada,1983)+(Ruby,1995)+(Eiffel,1985))
& out$"unsorted array:"
& lst$tab
& out$("sorted array:" !tab \n)
& out$"But tab is still unsorted:"
& lst$tab
); |
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.
| #C | C |
#include <stdio.h>
#include <stdlib.h>
#include <ctype.h>
typedef struct twoStringsStruct {
char * key, *value;
} sTwoStrings;
int ord( char v )
{
static char *dgts = "012345679";
char *cp;
for (cp=dgts; v != *cp; cp++);
return (cp-dgts);
}
int cmprStrgs(const sTwoStrings *s1,const sTwoStrings *s2)
{
char *p1 = s1->key;
char *p2 = s2->key;
char *mrk1, *mrk2;
while ((tolower(*p1) == tolower(*p2)) && *p1) { p1++; p2++;}
if (isdigit(*p1) && isdigit(*p2)) {
long v1, v2;
if ((*p1 == '0') ||(*p2 == '0')) {
while (p1 > s1->key) {
p1--; p2--;
if (*p1 != '0') break;
}
if (!isdigit(*p1)) {
p1++; p2++;
}
}
mrk1 = p1; mrk2 = p2;
v1 = 0;
while(isdigit(*p1)) {
v1 = 10*v1+ord(*p1);
p1++;
}
v2 = 0;
while(isdigit(*p2)) {
v2 = 10*v2+ord(*p2);
p2++;
}
if (v1 == v2)
return(p2-mrk2)-(p1-mrk1);
return v1 - v2;
}
if (tolower(*p1) != tolower(*p2))
return (tolower(*p1) - tolower(*p2));
for(p1=s1->key, p2=s2->key; (*p1 == *p2) && *p1; p1++, p2++);
return (*p1 -*p2);
}
int maxstrlen( char *a, char *b)
{
int la = strlen(a);
int lb = strlen(b);
return (la>lb)? la : lb;
}
int main()
{
sTwoStrings toBsorted[] = {
{ "Beta11a", "many" },
{ "alpha1", "This" },
{ "Betamax", "sorted." },
{ "beta3", "order" },
{ "beta11a", "strings" },
{ "beta001", "is" },
{ "beta11", "which" },
{ "beta041", "be" },
{ "beta05", "in" },
{ "beta1", "the" },
{ "beta40", "should" },
};
#define ASIZE (sizeof(toBsorted)/sizeof(sTwoStrings))
int k, maxlens[ASIZE];
char format[12];
sTwoStrings *cp;
qsort( (void*)toBsorted, ASIZE, sizeof(sTwoStrings),cmprStrgs);
for (k=0,cp=toBsorted; k < ASIZE; k++,cp++) {
maxlens[k] = maxstrlen(cp->key, cp->value);
sprintf(format," %%-%ds", maxlens[k]);
printf(format, toBsorted[k].value);
}
printf("\n");
for (k=0; k < ASIZE; k++) {
sprintf(format," %%-%ds", maxlens[k]);
printf(format, toBsorted[k].key);
}
printf("\n");
return 0;
} |
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.)
| #Ring | Ring |
aList = [4, 65, 2, 99, 83, 782, 1]
see countingSort(aList, 1, 782)
func countingSort f, min, max
count = list(max-min+1)
for i = min to max
count[i] = 0
next
for i = 1 to len(f)
count[ f[i] ] = count[ f[i] ] + 1
next
z = 1
for i = min to max
while count[i] > 0
f[z] = i
z = z + 1
count[i] = count[i] - 1
end
next
return f
|
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.)
| #Ruby | Ruby | class Array
def counting_sort!
replace counting_sort
end
def counting_sort
min, max = minmax
count = Array.new(max - min + 1, 0)
each {|number| count[number - min] += 1}
(min..max).each_with_object([]) {|i, ary| ary.concat([i] * count[i - min])}
end
end
ary = [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]
p ary.counting_sort.join(",")
# => "1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,5,5,5,5,5,5,6,6,6,6,7,7,7,7,7,7,8,8,8,8,9,9,9,9,9,9,10,10,10,10"
p ary = Array.new(20){rand(-10..10)}
# => [-3, -1, 9, -6, -8, -3, 5, -7, 4, 0, 5, 0, 2, -2, -6, 10, -10, -7, 5, -7]
p ary.counting_sort
# => [-10, -8, -7, -7, -7, -6, -6, -3, -3, -2, -1, 0, 0, 2, 4, 5, 5, 5, 9, 10] |
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).
| #Chapel | Chapel | type hole = int;
param A : hole = 1;
param B : hole = A+1;
param C : hole = B+1;
param D : hole = C+1;
param E : hole = D+1;
param F : hole = E+1;
param G : hole = F+1;
param H : hole = G+1;
param starting : int = 0;
const holes : domain(hole) = { A,B,C,D,E,F,G,H };
const graph : [holes] domain(hole) = [ A => { C,D,E },
B => { D,E,F },
C => { A,D,G },
D => { A,B,C,E,G,H },
E => { A,B,D,F,G,H },
F => { B,E,H },
G => { C,D,E },
H => { D,E,F }
];
proc check( configuration : [] int, idx : hole ) : bool {
var good = true;
for adj in graph[idx] {
if adj >= idx then continue;
if abs( configuration[idx] - configuration[adj] ) <= 1 {
good = false;
break;
}
}
return good;
}
proc solve( configuration : [] int, pegs : domain(int), idx : hole = A ) : bool {
for value in pegs {
configuration[idx] = value;
if check( configuration, idx ) {
if idx < holes.size {
var prePegs = pegs;
if solve( configuration, prePegs - value, idx + 1 ){
return true;
}
} else {
return true;
}
}
}
configuration[idx] = starting;
return false;
}
proc printBoard( configuration : [] int ){
return
"\n " + configuration[A] + " " + configuration[B]+ "\n" +
" /|\\ /|\\ \n"+
" / | X | \\ \n"+
" / |/ \\| \\ \n"+
" " + configuration[C] +" - " + configuration[D] + " - " + configuration[E] + " - " + configuration[F] + " \n"+
" \\ |\\ /| / \n"+
" \\ | X | / \n"+
" \\|/ \\|/ \n"+
" " + configuration[G] + " " + configuration[H]+ "\n";
}
proc main(){
var configuration : [holes] int;
for idx in holes do configuration[idx] = starting;
var pegs : domain(int) = {1,2,3,4,5,6,7,8};
solve( configuration, pegs );
writeln( printBoard( configuration ) );
}
|
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).
| #D | D | void main() @safe {
import std.stdio, std.math, std.algorithm, std.traits, std.string;
enum Peg { A, B, C, D, E, F, G, H }
immutable Peg[2][15] connections =
[[Peg.A, Peg.C], [Peg.A, Peg.D], [Peg.A, Peg.E],
[Peg.B, Peg.D], [Peg.B, Peg.E], [Peg.B, Peg.F],
[Peg.C, Peg.D], [Peg.D, Peg.E], [Peg.E, Peg.F],
[Peg.G, Peg.C], [Peg.G, Peg.D], [Peg.G, Peg.E],
[Peg.H, Peg.D], [Peg.H, Peg.E], [Peg.H, Peg.F]];
immutable board = r"
A B
/|\ /|\
/ | X | \
/ |/ \| \
C - D - E - F
\ |\ /| /
\ | X | /
\|/ \|/
G H";
Peg[EnumMembers!Peg.length] perm = [EnumMembers!Peg];
do if (connections[].all!(con => abs(perm[con[0]] - perm[con[1]]) > 1))
return board.tr("ABCDEFGH", "%(%d%)".format(perm)).writeln;
while (perm[].nextPermutation);
} |
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
| #Perl | Perl | #!/usr/bin/perl
use strict;
use warnings;
$_ = <<END;
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
END
my $gap = /.\n/ * $-[0];
print;
s/ (?=\d\b)/0/g;
my $max = sprintf "%02d", tr/0-9// / 2;
solve( '01', $_ );
sub solve
{
my ($have, $in) = @_;
$have eq $max and exit !print "solution\n", $in =~ s/\b0/ /gr;
if( $in =~ ++(my $want = $have) )
{
$in =~ /($have|$want)( |.{$gap})($have|$want)/s and solve($want, $in);
}
else
{
($_ = $in) =~ s/$have \K00/$want/ and solve( $want, $_ ); # R
($_ = $in) =~ s/$have.{$gap}\K00/$want/s and solve( $want, $_ ); # D
($_ = $in) =~ s/00(?= $have)/$want/ and solve( $want, $_ ); # L
($_ = $in) =~ s/00(?=.{$gap}$have)/$want/s and solve( $want, $_ ); # U
}
} |
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.
| #Clean | Clean | import StdEnv
sortArray :: (a e) -> a e | Array a e & Ord e
sortArray array = {y \\ y <- sort [x \\ x <-: array]}
Start :: {#Int}
Start = sortArray {2, 4, 3, 1, 2} |
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.
| #Clojure | Clojure | (sort [5 4 3 2 1]) ; sort can also take a comparator function
(1 2 3 4 5) |
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
| #J | J | oids=:<@-.&' ';._2]0 :0
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
) |
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
| #Java | Java |
package com.rosettacode;
import java.util.Comparator;
import java.util.stream.Stream;
public class OIDListSorting {
public static void main(String[] args) {
final String dot = "\\.";
final Comparator<String> oids_comparator = (o1, o2) -> {
final String[] o1Numbers = o1.split(dot), o2Numbers = o2.split(dot);
for (int i = 0; ; i++) {
if (i == o1Numbers.length && i == o2Numbers.length)
return 0;
if (i == o1Numbers.length)
return -1;
if (i == o2Numbers.length)
return 1;
final int nextO1Number = Integer.valueOf(o1Numbers[i]), nextO2Number = Integer.valueOf(o2Numbers[i]);
final int result = Integer.compare(nextO1Number, nextO2Number);
if (result != 0)
return result;
}
};
Stream.of("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")
.sorted(oids_comparator)
.forEach(System.out::println);
}
} |
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
| #FreeBASIC | FreeBASIC | dim as integer value(0 to 7) = {7, 6, 5, 4, 3, 2, 1, 0}
dim as integer index(0 to 2) = {6, 1, 7}, i
for i = 0 to 1
if value(index(i))>value(index(i+1)) then
swap value(index(i)), value(index(i+1))
end if
next i
for i = 0 to 7
print value(i);
next i : print |
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).
| #R | R |
# First, define a bernoulli sample, of length 26.
x <- sample(c(0, 1), 26, replace=T)
x
# [1] 1 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 0 1 0 1 0 1 1 0 1 0
# Give names to the entries. "letters" is a builtin value
names(x) <- letters
x
# a b c d e f g h i j k l m n o p q r s t u v w x y z
# 1 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 0 1 0 1 0 1 1 0 1 0
# The unstable one, see how "a" appears after "l" now
sort(x, method="quick")
# z h s u e q x n j r t v w y p o m l a i g f d c b k
# 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
# The stable sort, letters are ordered in each section
sort(x, method="shell")
# e h j n q s u x z a b c d f g i k l m o p r t v w y
# 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
|
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).
| #Racket | Racket |
#lang racket
(sort '(("UK" "London")
("US" "New York")
("US" "Birmingham")
("UK" "Birmingham"))
string<? #:key first)
;; -> (("UK" "London") ("UK" "Birmingham")
;; ("US" "New York") ("US" "Birmingham"))
(sort '(("UK" "London")
("US" "New York")
("US" "Birmingham")
("UK" "Birmingham"))
string<? #:key second)
;; -> '(("US" "Birmingham") ("UK" "Birmingham")
;; ("UK" "London") ("US" "New York"))
|
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).
| #Raku | Raku | use v6;
my @cities =
['UK', 'London'],
['US', 'New York'],
['US', 'Birmingham'],
['UK', 'Birmingham'],
;
.say for @cities.sort: { .[1] }; |
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).
| #REBOL | REBOL | ; REBOL's sort function is not stable by default. You need to use a custom comparator to make it so.
blk: [
[UK London]
[US New-York]
[US Birmingham]
[UK Birmingham]
]
sort/compare blk func [a b] [either a/2 < b/2 [-1] [either a/2 > b/2 [1] [0]]]
; Note that you can also do a stable sort without nested blocks.
blk: [
UK London
US New-York
US Birmingham
UK Birmingham
]
sort/skip/compare blk 2 func [a b] [either a < b [-1] [either a > b [1] [0]]] |
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.
| #Perl | Perl | #!/usr/bin/env perl
use 5.010_000;
# Sort strings
my $x = 'lions, tigers, and';
my $y = 'bears, oh my!';
my $z = '(from the "Wizard of OZ")';
# When assigning a list to list, the values are mapped
( $x, $y, $z ) = sort ( $x, $y, $z );
say 'Case 1:';
say " x = $x";
say " y = $y";
say " z = $z";
# Sort numbers
$x = 77444;
$y = -12;
$z = 0;
# The sort function can take a customizing block parameter.
# The spaceship operator creates a by-value numeric sort
( $x, $y, $z ) = sort { $a <=> $b } ( $x, $y, $z );
say 'Case 2:';
say " x = $x";
say " y = $y";
say " z = $z"; |
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.
| #jq | jq | def quicksort(cmp):
if length < 2 then . # it is already sorted
else .[0] as $pivot
| reduce .[] as $x
# state: [less, equal, greater]
( [ [], [], [] ]; # three empty arrays:
if $x == $pivot then .[1] += [$x] # add x to equal
else ([$x,$pivot]|cmp) as $order
| if $order == 0 then .[1] += [$x] # ditto
elif ($order|type) == "number" then
if $order < 0 then .[0] += [$x] # add x to less
else .[2] += [$x] # add x to greater
end
else ([$pivot,$x]|cmp) as $order2
| if $order and $order2 then .[1] += [$x] # add x to equal
elif $order then .[0] += [$x] # add x to less
else .[2] += [$x] # add x to greater
end
end
end )
| (.[0] | quicksort(cmp) ) + .[1] + (.[2] | quicksort(cmp) )
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.
| #Julia | Julia | wl = filter(!isempty, split("""You will rejoice to hear that no disaster has accompanied the
commencement of an enterprise which you have regarded with such evil
forebodings.""", r"\W+"))
println("Original list:\n - ", join(wl, "\n - "))
sort!(wl; by=x -> (-length(x), lowercase(x)))
println("\nSorted list:\n - ", join(wl, "\n - "))
|
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
| #Swift | Swift | func combSort(inout list:[Int]) {
var swapped = true
var gap = list.count
while gap > 1 || swapped {
gap = gap * 10 / 13
if gap == 9 || gap == 10 {
gap = 11
} else if gap < 1 {
gap = 1
}
swapped = false
for var i = 0, j = gap; j < list.count; i++, j++ {
if list[i] > list[j] {
(list[i], list[j]) = (list[j], list[i])
swapped = true
}
}
}
} |
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
| #Tcl | Tcl | proc combsort {input} {
set gap [llength $input]
while 1 {
set gap [expr {int(floor($gap / 1.3))}]
set swaps 0
for {set i 0} {$i+$gap < [llength $input]} {incr i} {
set j [expr {$i+$gap}]
if {[lindex $input $i] > [lindex $input $j]} {
set tmp [lindex $input $i]
lset input $i [lindex $input $j]
lset input $j $tmp
incr swaps
}
}
if {$gap <= 1 && !$swaps} break
}
return $input
}
set data {23 76 99 58 97 57 35 89 51 38 95 92 24 46 31 24 14 12 57 78}
puts [combsort $data] |
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.
| #Racket | Racket |
#lang racket
(define (bogo-sort l) (if (apply <= l) l (bogo-sort (shuffle l))))
(require rackunit)
(check-equal? (bogo-sort '(6 5 4 3 2 1)) '(1 2 3 4 5 6))
(check-equal? (bogo-sort (shuffle '(1 1 1 2 2 2))) '(1 1 1 2 2 2))
(let ((unsorted (for/list ((i 10)) (random 1000))))
(displayln unsorted)
(displayln (bogo-sort unsorted)))
|
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.
| #Raku | Raku | sub bogosort (@list is copy) {
@list .= pick(*) until [<=] @list;
return @list;
}
my @nums = (^5).map: { rand };
say @nums.sort.Str eq @nums.&bogosort.Str ?? 'ok' !! 'not ok';
|
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.
| #Eiffel | Eiffel | class
APPLICATION
create
make
feature
make
-- Create and print sorted set
do
create my_set.make
my_set.put_front (2)
my_set.put_front (6)
my_set.put_front (1)
my_set.put_front (5)
my_set.put_front (3)
my_set.put_front (9)
my_set.put_front (8)
my_set.put_front (4)
my_set.put_front (10)
my_set.put_front (7)
print ("Before: ")
across my_set as ic loop print (ic.item.out + " ") end
print ("%NAfter : ")
my_set.sort
across my_set as ic loop print (ic.item.out + " ") end
end
my_set: MY_SORTED_SET [INTEGER]
-- Set to be sorted
end |
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