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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
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---
from: http://rosettacode.org/wiki/Best_shuffle

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;Task:
Shuffle the characters of a string in such a way that as many of the character values are in a different position as possible.
A shuffle that produces a randomized result among the best choices is to be preferred. A deterministic approach that produces the same sequence every time is acceptable as an alternative.
Display the result as follows:
original string, shuffled string, (score)
The score gives the number of positions whose character value did ''not'' change.
;Example:
tree, eetr, (0)
;Test cases:
abracadabra
seesaw
elk
grrrrrr
up
a
;Related tasks
*   [[Anagrams/Deranged anagrams]]
*   [[Permutations/Derangements]]
{{Template:Strings}}
<br><br>

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F count(w1, wnew)
R sum(zip(w1, wnew).map((c1, c2) -> Int(c1 == c2)))
F best_shuffle(w)
V wnew = Array(w)
V n = w.len
V rangei = Array(0 .< n)
V rangej = Array(0 .< n)
random:shuffle(&rangei)
random:shuffle(&rangej)
L(i) rangei
L(j) rangej
I i != j & wnew[j] != wnew[i] & w[i] != wnew[j] & w[j] != wnew[i]
swap(&wnew[j], &wnew[i])
L.break
V wnew_s = wnew.join()
R (wnew_s, count(w, wnew_s))
V test_words = [tree, abracadabra, seesaw, elk, grrrrrr, up, a,
antidisestablishmentarianism, hounddogs,
aardvarks are ant eaters, immediately, abba]
L(w) test_words
V (wnew, c) = best_shuffle(w)
print(#29, #<29 ,(#.).format(w, wnew, c))

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BEGIN # shuffle a string so as many as possible characters are moved #
PROC best shuffle = ( STRING orig )STRING:
BEGIN
STRING res := orig;
FOR i FROM LWB orig TO UPB orig DO
FOR j FROM LWB orig TO UPB orig DO
IF i /= j AND orig[ i ] /= res[ j ] AND orig[ j ] /= res[ i ] THEN
CHAR tmp = res[ i ]; res[ i ] := res[ j ]; res[ j ] := tmp
FI
OD
OD;
res
END # best shuffle # ;
PROC test = ( STRING orig )VOID:
BEGIN
STRING res := best shuffle( orig );
INT score := 0;
FOR i FROM LWB orig TO UPB orig DO
IF orig[ i ] = res[ i ] THEN
score +:= 1
FI
OD;
print( ( orig, ", ", res, ", (", whole( score, 0 ), ")", newline ) )
END # test # ;
test( "abracadabra" );
test( "seesaw" );
test( "elk" );
test( "grrrrrr" );
test( "up" );
test( "a" )
END

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{
scram = best_shuffle($0)
print $0 " -> " scram " (" unchanged($0, scram) ")"
}
function best_shuffle(s, c, i, j, len, r, t) {
len = split(s, t, "")
# Swap elements of t[] to get a best shuffle.
for (i = 1; i <= len; i++) {
for (j = 1; j <= len; j++) {
# Swap t[i] and t[j] if they will not match
# the original characters from s.
if (i != j &&
t[i] != substr(s, j, 1) &&
substr(s, i, 1) != t[j]) {
c = t[i]
t[i] = t[j]
t[j] = c
break
}
}
}
# Join t[] into one string.
r = ""
for (i = 1; i <= len; i++)
r = r t[i]
return r
}
function unchanged(s1, s2, count, len) {
count = 0
len = length(s1)
for (i = 1; i <= len; i++) {
if (substr(s1, i, 1) == substr(s2, i, 1))
count++
}
return count
}

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# out["string"] = best shuffle of string _s_
# out["score"] = number of matching characters
function best_shuffle(out, s, c, i, j, k, klen, p, pos, set, rlen, slen) {
slen = length(s)
for (i = 1; i <= slen; i++) {
c = substr(s, i, 1)
# _set_ of all characters in _s_, with count
set[c] += 1
# _pos_ classifies positions by letter,
# such that pos[c, 1], pos[c, 2], ..., pos[c, set[c]]
# are the positions of _c_ in _s_.
pos[c, set[c]] = i
}
# k[1], k[2], ..., k[klen] sorts letters from low to high count
klen = 0
for (c in set) {
# insert _c_ into _k_
i = 1
while (i <= klen && set[k[i]] <= set[c])
i++ # find _i_ to sort by insertion
for (j = klen; j >= i; j--)
k[j + 1] = k[j] # make room for k[i]
k[i] = c
klen++
}
# Fill pos[slen], ..., pos[3], pos[2], pos[1] with positions
# in the order that we want to fill them.
i = 1
while (i <= slen) {
for (j = 1; j <= klen; j++) {
c = k[j]
if (set[c] > 0) {
pos[i] = pos[c, set[c]]
i++
delete pos[c, set[c]]
set[c]--
}
}
}
# Now fill in _new_ with _letters_ according to each position
# in pos[slen], ..., pos[1], but skip ahead in _letters_
# if we can avoid matching characters that way.
rlen = split(s, letters, "")
for (i = slen; i >= 1; i--) {
j = 1
p = pos[i]
while (letters[j] == substr(s, p, 1) && j < rlen)
j++
for (new[p] = letters[j]; j < rlen; j++)
letters[j] = letters[j + 1]
delete letters[rlen]
rlen--
}
out["string"] = ""
for (i = 1; i <= slen; i++) {
out["string"] = out["string"] new[i]
}
out["score"] = 0
for (i = 1; i <= slen; i++) {
if (new[i] == substr(s, i, 1))
out["score"]++
}
}
BEGIN {
count = split("abracadabra seesaw elk grrrrrr up a", words)
for (i = 1; i <= count; i++) {
best_shuffle(result, words[i])
printf "%s, %s, (%d)\n",
words[i], result["string"], result["score"]
}
}

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$ awk -f best-shuffle.awk
abracadabra, baarrcadaab, (0)
seesaw, essewa, (0)
elk, kel, (0)
grrrrrr, rgrrrrr, (5)
up, pu, (0)
a, a, (1)

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PROC BestShuffle(CHAR ARRAY orig,res)
BYTE i,j,len
CHAR tmp
len=orig(0)
SCopy(res,orig)
FOR i=1 TO len
DO
FOR j=1 TO len
DO
IF i#j AND orig(i)#res(j) AND orig(j)#res(i) THEN
tmp=res(i) res(i)=res(j) res(j)=tmp
FI
OD
OD
RETURN
PROC Test(CHAR ARRAY orig)
CHAR ARRAY res(100)
BYTE i,score
BestShuffle(orig,res)
score=0
FOR i=1 TO orig(0)
DO
IF orig(i)=res(i) THEN
score==+1
FI
OD
PrintF("%S, %S, (%B)%E",orig,res,score)
RETURN
PROC Main()
Test("abracadabra")
Test("seesaw")
Test("elk")
Test("grrrrrr")
Test("up")
Test("a")
RETURN

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with Ada.Text_IO;
with Ada.Strings.Unbounded;
procedure Best_Shuffle is
function Best_Shuffle (S : String) return String;
function Best_Shuffle (S : String) return String is
T : String (S'Range) := S;
Tmp : Character;
begin
for I in S'Range loop
for J in S'Range loop
if I /= J and S (I) /= T (J) and S (J) /= T (I) then
Tmp := T (I);
T (I) := T (J);
T (J) := Tmp;
end if;
end loop;
end loop;
return T;
end Best_Shuffle;
Test_Cases : constant array (1 .. 6)
of Ada.Strings.Unbounded.Unbounded_String :=
(Ada.Strings.Unbounded.To_Unbounded_String ("abracadabra"),
Ada.Strings.Unbounded.To_Unbounded_String ("seesaw"),
Ada.Strings.Unbounded.To_Unbounded_String ("elk"),
Ada.Strings.Unbounded.To_Unbounded_String ("grrrrrr"),
Ada.Strings.Unbounded.To_Unbounded_String ("up"),
Ada.Strings.Unbounded.To_Unbounded_String ("a"));
begin -- main procedure
for Test_Case in Test_Cases'Range loop
declare
Original : constant String := Ada.Strings.Unbounded.To_String
(Test_Cases (Test_Case));
Shuffle : constant String := Best_Shuffle (Original);
Score : Natural := 0;
begin
for I in Original'Range loop
if Original (I) = Shuffle (I) then
Score := Score + 1;
end if;
end loop;
Ada.Text_IO.Put_Line (Original & ", " & Shuffle & ", (" &
Natural'Image (Score) & " )");
end;
end loop;
end Best_Shuffle;

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count: function [s1 s2][
res: 0
loop.with:'i s1 'c [
if c = s2\[i] -> res: res + 1
]
return res
]
shuff: function [str]->
join shuffle split str
bestShuffle: function [s][
shuffled: shuff s
loop 0..dec size shuffled 'i [
if shuffled\[i] <> s\[i] -> continue
loop 0..dec size shuffled 'j [
if all? @[
shuffled\[i] <> shuffled\[j]
shuffled\[i] <> s\[j]
shuffled\[j] <> s\[i]
] [
tmp: shuffled\[i]
shuffled\[i]: shuffled\[j]
shuffled\[j]: tmp
break
]
]
]
return shuffled
]
words: ["abracadabra" "seesaw" "grrrrrr" "pop"
"up" "a" "antidisestablishmentarianism"]
loop words 'w [
sf: bestShuffle w
print [w "->" sf "| count:" count w sf]
]

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words := "abracadabra,seesaw,elk,grrrrrr,up,a"
Loop Parse, Words,`,
out .= Score(A_LoopField, Shuffle(A_LoopField))
MsgBox % clipboard := out
Shuffle(String)
{
Cord := String
Length := StrLen(String)
CharType := A_IsUnicode ? "UShort" : "UChar"
Loop, Parse, String ; For each old character in String...
{
Char1 := SubStr(Cord, A_Index, 1)
If (Char1 <> A_LoopField) ; If new character already differs,
Continue ; do nothing.
Index1 := A_Index
OldChar1 := A_LoopField
Random, Index2, 1, Length ; Starting at some random index,
Loop, %Length% ; for each index...
{
If (Index1 <> Index2) ; Swap requires two different indexes.
{
Char2 := SubStr(Cord, Index2, 1)
OldChar2 := SubStr(String, Index2, 1)
; If after the swap, the two new characters would differ from
; the two old characters, then do the swap.
If (Char1 <> OldChar2) and (Char2 <> OldChar1)
{
; Swap Char1 and Char2 inside Cord.
NumPut(Asc(Char1), Cord, (Index2 - 1) << !!A_IsUnicode, CharType)
NumPut(Asc(Char2), Cord, (Index1 - 1) << !!A_IsUnicode, CharType)
Break
}
}
Index2 += 1 ; Get next index.
If (Index2 > Length) ; If after last index,
Index2 := 1 ; use first index.
}
}
Return Cord
}
Score(a, b){
r := 0
Loop Parse, a
If (A_LoopField = SubStr(b, A_Index, 1))
r++
return a ", " b ", (" r ")`n"
}

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a$ = "abracadabra" : b$ = FNshuffle(a$) : PRINT a$ " -> " b$ FNsame(a$,b$)
a$ = "seesaw" : b$ = FNshuffle(a$) : PRINT a$ " -> " b$ FNsame(a$,b$)
a$ = "elk" : b$ = FNshuffle(a$) : PRINT a$ " -> " b$ FNsame(a$,b$)
a$ = "grrrrrr" : b$ = FNshuffle(a$) : PRINT a$ " -> " b$ FNsame(a$,b$)
a$ = "up" : b$ = FNshuffle(a$) : PRINT a$ " -> " b$ FNsame(a$,b$)
a$ = "a" : b$ = FNshuffle(a$) : PRINT a$ " -> " b$ FNsame(a$,b$)
END
DEF FNshuffle(s$)
LOCAL i%, j%, l%, s%, t%, t$
t$ = s$ : s% = !^s$ : t% = !^t$ : l% = LEN(t$)
FOR i% = 0 TO l%-1 : SWAP t%?i%,t%?(RND(l%)-1) : NEXT
FOR i% = 0 TO l%-1
FOR j% = 0 TO l%-1
IF i%<>j% THEN
IF t%?i%<>s%?j% IF s%?i%<>t%?j% THEN
SWAP t%?i%,t%?j%
EXIT FOR
ENDIF
ENDIF
NEXT
NEXT i%
= t$
DEF FNsame(s$, t$)
LOCAL i%, n%
FOR i% = 1 TO LEN(s$)
IF MID$(s$,i%,1)=MID$(t$,i%,1) n% += 1
NEXT
= " (" + STR$(n%) + ")"

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DECLARE case$[] = { "tree", "abracadabra", "seesaw", "elk", "grrrrrr", "up", "a" }
FOR z = 0 TO UBOUND(case$)-1
result$ = EXPLODE$(case$[z], 1)
FOR y = 1 TO AMOUNT(result$)
FOR x = 1 TO LEN(case$[z])
IF TOKEN$(result$, y) <> MID$(case$[z], x, 1) AND TOKEN$(result$, x) = MID$(case$[z], x, 1) THEN result$ = EXCHANGE$(result$, x, y)
NEXT
NEXT
total = 0
FOR x = 1 TO AMOUNT(result$)
INCR total, IIF(MID$(case$[z], x, 1) = TOKEN$(result$, x), 1, 0)
NEXT
PRINT MERGE$(result$), ":", total
NEXT

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( shuffle
= m car cdr todo a z count string
. !arg:(@(?:%?car ?cdr).?todo)
& !Count:?count
& ( @( !todo
: ?a
(%@:~!car:?m)
( ?z
& shuffle$(!cdr.str$(!a !z))
: (<!count:?count.?string)
& ~
)
)
| !count:<!Count
| @(!todo:%?m ?z)
& shuffle$(!cdr.!z):(?count.?string)
& !count+1
. !m !string
)
| (0.)
)
& abracadabra seesaw elk grrrrrr up a:?words
& whl
' ( !words:%?word ?words
& @(!word:? [?Count)
& out$(!word shuffle$(!word.!word))
)
& Done

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( shuffle
= m car cdr todo a z count M string tried
. !arg:(@(?:%?car ?cdr).?todo)
& !Count:?count
& :?tried
& ( @( !todo
: ?a
( %@?M
& ~(!tried:? !M ?)
& !M !tried:?tried
& !M:~!car
)
( ?z
& shuffle$(!cdr.str$(!a !z))
: (<!count:?count.?string)
& !M:?m
& ~
)
)
| !count:<!Count
| @(!todo:%?m ?z)
& shuffle$(!cdr.!z):(?count.?string)
& !count+1
. !m !string
)
| (0.)
)
& abracadabra seesaw elk grrrrrr up a:?words
& whl
' ( !words:%?word ?words
& @(!word:? [?Count)
& out$(!word shuffle$(!word.!word))
)
& Done

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#include <iostream>
#include <sstream>
#include <algorithm>
using namespace std;
template <class S>
class BestShuffle {
public:
BestShuffle() : rd(), g(rd()) {}
S operator()(const S& s1) {
S s2 = s1;
shuffle(s2.begin(), s2.end(), g);
for (unsigned i = 0; i < s2.length(); i++)
if (s2[i] == s1[i])
for (unsigned j = 0; j < s2.length(); j++)
if (s2[i] != s2[j] && s2[i] != s1[j] && s2[j] != s1[i]) {
swap(s2[i], s2[j]);
break;
}
ostringstream os;
os << s1 << endl << s2 << " [" << count(s2, s1) << ']';
return os.str();
}
private:
static int count(const S& s1, const S& s2) {
auto count = 0;
for (unsigned i = 0; i < s1.length(); i++)
if (s1[i] == s2[i])
count++;
return count;
}
random_device rd;
mt19937 g;
};
int main(int argc, char* arguments[]) {
BestShuffle<basic_string<char>> bs;
for (auto i = 1; i < argc; i++)
cout << bs(basic_string<char>(arguments[i])) << endl;
return 0;
}

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ShuffledString[] array = {"cat", "dog", "mouse"};

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using System;
using System.Text;
using System.Collections.Generic;
namespace BestShuffle_RC
{
public class ShuffledString
{
private string original;
private StringBuilder shuffled;
private int ignoredChars;
public string Original
{
get { return original; }
}
public string Shuffled
{
get { return shuffled.ToString(); }
}
public int Ignored
{
get { return ignoredChars; }
}
private void Swap(int pos1, int pos2)
{
char temp = shuffled[pos1];
shuffled[pos1] = shuffled[pos2];
shuffled[pos2] = temp;
}
//Determine if a swap between these two would put a letter in a "bad" place
//If true, a swap is OK.
private bool TrySwap(int pos1, int pos2)
{
if (original[pos1] == shuffled[pos2] || original[pos2] == shuffled[pos1])
return false;
else
return true;
}
//Constructor carries out calls Shuffle function.
public ShuffledString(string word)
{
original = word;
shuffled = new StringBuilder(word);
Shuffle();
DetectIgnores();
}
//Does the hard work of shuffling the string.
private void Shuffle()
{
int length = original.Length;
int swaps;
Random rand = new Random();
List<int> used = new List<int>();
for (int i = 0; i < length; i++)
{
swaps = 0;
while(used.Count <= length - i)//Until all possibilities have been tried
{
int j = rand.Next(i, length - 1);
//If swapping would make a difference, and wouldn't put a letter in a "bad" place,
//and hasn't already been tried, then swap
if (original[i] != original[j] && TrySwap(i, j) && !used.Contains(j))
{
Swap(i, j);
swaps++;
break;
}
else
used.Add(j);//If swapping doesn't work, "blacklist" the index
}
if (swaps == 0)
{
//If a letter was ignored (no swap was found), look backward for another change to make
for (int k = i; k >= 0; k--)
{
if (TrySwap(i, k))
Swap(i, k);
}
}
//Clear the used indeces
used.Clear();
}
}
//Count how many letters are still in their original places.
private void DetectIgnores()
{
int ignores = 0;
for (int i = 0; i < original.Length; i++)
{
if (original[i] == shuffled[i])
ignores++;
}
ignoredChars = ignores;
}
//To allow easy conversion of strings.
public static implicit operator ShuffledString(string convert)
{
return new ShuffledString(convert);
}
}
public class Program
{
public static void Main(string[] args)
{
ShuffledString[] words = { "abracadabra", "seesaw", "elk", "grrrrrr", "up", "a" };
foreach(ShuffledString word in words)
Console.WriteLine("{0}, {1}, ({2})", word.Original, word.Shuffled, word.Ignored);
Console.ReadKey();
}
}
}

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using System;
using System.Text;
using System.Collections.Generic;
namespace BestShuffle_RC
{
public class ShuffledString
{
private string original;
private StringBuilder shuffled;
private int ignoredChars;
public string Original
{
get { return original; }
}
public string Shuffled
{
get { return shuffled.ToString(); }
}
public int Ignored
{
get { return ignoredChars; }
}
private void Swap(int pos1, int pos2)
{
char temp = shuffled[pos1];
shuffled[pos1] = shuffled[pos2];
shuffled[pos2] = temp;
}
//Determine if a swap between these two would put a letter in a "bad" place
//If true, a swap is OK.
private bool TrySwap(int pos1, int pos2)
{
if (original[pos1] == shuffled[pos2] || original[pos2] == shuffled[pos1])
return false;
else
return true;
}
//Constructor carries out calls Shuffle function.
public ShuffledString(string word)
{
original = word;
shuffled = new StringBuilder(word);
Shuffle();
DetectIgnores();
}
//Does the hard work of shuffling the string.
private void Shuffle()
{
int length = original.Length;
int swaps;
Random rand = new Random();
List<int> used = new List<int>();
for (int i = 0; i < length; i++)
{
swaps = 0;
while(used.Count <= length - i)//Until all possibilities have been tried
{
int j = rand.Next(i, length - 1);
//If swapping would make a difference, and wouldn't put a letter in a "bad" place,
//and hasn't already been tried, then swap
if (original[i] != original[j] && TrySwap(i, j) && !used.Contains(j))
{
Swap(i, j);
swaps++;
break;
}
else
used.Add(j);//If swapping doesn't work, "blacklist" the index
}
if (swaps == 0)
{
//If a letter was ignored (no swap was found), look backward for another change to make
for (int k = i; k >= 0; k--)
{
if (TrySwap(i, k))
Swap(i, k);
}
}
//Clear the used indeces
used.Clear();
}
}
//Count how many letters are still in their original places.
private void DetectIgnores()
{
int ignores = 0;
for (int i = 0; i < original.Length; i++)
{
if (original[i] == shuffled[i])
ignores++;
}
ignoredChars = ignores;
}
//To allow easy conversion of strings.
public static implicit operator ShuffledString(string convert)
{
return new ShuffledString(convert);
}
}
public class Program
{
public static void Main(string[] args)
{
ShuffledString[] words = { "abracadabra", "seesaw", "elk", "grrrrrr", "up", "a" };
foreach(ShuffledString word in words)
Console.WriteLine("{0}, {1}, ({2})", word.Original, word.Shuffled, word.Ignored);
Console.ReadKey();
}
}
}

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#include <stdlib.h>
#include <stdio.h>
#include <string.h>
#include <assert.h>
#include <limits.h>
#define DEBUG
void best_shuffle(const char* txt, char* result) {
const size_t len = strlen(txt);
if (len == 0)
return;
#ifdef DEBUG
// txt and result must have the same length
assert(len == strlen(result));
#endif
// how many of each character?
size_t counts[UCHAR_MAX];
memset(counts, '\0', UCHAR_MAX * sizeof(int));
size_t fmax = 0;
for (size_t i = 0; i < len; i++) {
counts[(unsigned char)txt[i]]++;
const size_t fnew = counts[(unsigned char)txt[i]];
if (fmax < fnew)
fmax = fnew;
}
assert(fmax > 0 && fmax <= len);
// all character positions, grouped by character
size_t *ndx1 = malloc(len * sizeof(size_t));
if (ndx1 == NULL)
exit(EXIT_FAILURE);
for (size_t ch = 0, i = 0; ch < UCHAR_MAX; ch++)
if (counts[ch])
for (size_t j = 0; j < len; j++)
if (ch == (unsigned char)txt[j]) {
ndx1[i] = j;
i++;
}
// regroup them for cycles
size_t *ndx2 = malloc(len * sizeof(size_t));
if (ndx2 == NULL)
exit(EXIT_FAILURE);
for (size_t i = 0, n = 0, m = 0; i < len; i++) {
ndx2[i] = ndx1[n];
n += fmax;
if (n >= len) {
m++;
n = m;
}
}
// how long can our cyclic groups be?
const size_t grp = 1 + (len - 1) / fmax;
assert(grp > 0 && grp <= len);
// how many of them are full length?
const size_t lng = 1 + (len - 1) % fmax;
assert(lng > 0 && lng <= len);
// rotate each group
for (size_t i = 0, j = 0; i < fmax; i++) {
const size_t first = ndx2[j];
const size_t glen = grp - (i < lng ? 0 : 1);
for (size_t k = 1; k < glen; k++)
ndx1[j + k - 1] = ndx2[j + k];
ndx1[j + glen - 1] = first;
j += glen;
}
// result is original permuted according to our cyclic groups
result[len] = '\0';
for (size_t i = 0; i < len; i++)
result[ndx2[i]] = txt[ndx1[i]];
free(ndx1);
free(ndx2);
}
void display(const char* txt1, const char* txt2) {
const size_t len = strlen(txt1);
assert(len == strlen(txt2));
int score = 0;
for (size_t i = 0; i < len; i++)
if (txt1[i] == txt2[i])
score++;
(void)printf("%s, %s, (%u)\n", txt1, txt2, score);
}
int main() {
const char* data[] = {"abracadabra", "seesaw", "elk", "grrrrrr",
"up", "a", "aabbbbaa", "", "xxxxx"};
const size_t data_len = sizeof(data) / sizeof(data[0]);
for (size_t i = 0; i < data_len; i++) {
const size_t shuf_len = strlen(data[i]) + 1;
char shuf[shuf_len];
#ifdef DEBUG
memset(shuf, 0xFF, sizeof shuf);
shuf[shuf_len - 1] = '\0';
#endif
best_shuffle(data[i], shuf);
display(data[i], shuf);
}
return EXIT_SUCCESS;
}

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#include <stdio.h>
#include <stdlib.h>
#include <string.h>
typedef struct letter_group_t {
char c;
int count;
} *letter_p;
struct letter_group_t all_letters[26];
letter_p letters[26];
/* counts how many of each letter is in a string, used later
* to generate permutations
*/
int count_letters(const char *s)
{
int i, c;
for (i = 0; i < 26; i++) {
all_letters[i].count = 0;
all_letters[i].c = i + 'a';
}
while (*s != '\0') {
i = *(s++);
/* don't want to deal with bad inputs */
if (i < 'a' || i > 'z') {
fprintf(stderr, "Abort: Bad string %s\n", s);
exit(1);
}
all_letters[i - 'a'].count++;
}
for (i = 0, c = 0; i < 26; i++)
if (all_letters[i].count)
letters[c++] = all_letters + i;
return c;
}
int least_overlap, seq_no;
char out[100], orig[100], best[100];
void permutate(int n_letters, int pos, int overlap)
{
int i, ol;
if (pos < 0) {
/* if enabled will show all shuffles no worse than current best */
// printf("%s: %d\n", out, overlap);
/* if better than current best, replace it and reset counter */
if (overlap < least_overlap) {
least_overlap = overlap;
seq_no = 0;
}
/* the Nth best tie has 1/N chance of being kept, so all ties
* have equal chance of being selected even though we don't
* how many there are before hand
*/
if ( (double)rand() / (RAND_MAX + 1.0) * ++seq_no <= 1)
strcpy(best, out);
return;
}
/* standard "try take the letter; try take not" recursive method */
for (i = 0; i < n_letters; i++) {
if (!letters[i]->count) continue;
out[pos] = letters[i]->c;
letters[i]->count --;
ol = (letters[i]->c == orig[pos]) ? overlap + 1 : overlap;
/* but don't try options that's already worse than current best */
if (ol <= least_overlap)
permutate(n_letters, pos - 1, ol);
letters[i]->count ++;
}
return;
}
void do_string(const char *str)
{
least_overlap = strlen(str);
strcpy(orig, str);
seq_no = 0;
out[least_overlap] = '\0';
least_overlap ++;
permutate(count_letters(str), least_overlap - 2, 0);
printf("%s -> %s, overlap %d\n", str, best, least_overlap);
}
int main()
{
srand(time(0));
do_string("abracadebra");
do_string("grrrrrr");
do_string("elk");
do_string("seesaw");
do_string("");
return 0;
}

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@ -0,0 +1,5 @@
abracadebra -> edbcarabaar, overlap 0
grrrrrr -> rrgrrrr, overlap 5
elk -> kel, overlap 0
seesaw -> ewsesa, overlap 0
-> , overlap 0

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#include <stdio.h>
#include <string.h>
#define FOR(x, y) for(x = 0; x < y; x++)
char *best_shuffle(const char *s, int *diff)
{
int i, j = 0, max = 0, l = strlen(s), cnt[128] = {0};
char buf[256] = {0}, *r;
FOR(i, l) if (++cnt[(int)s[i]] > max) max = cnt[(int)s[i]];
FOR(i, 128) while (cnt[i]--) buf[j++] = i;
r = strdup(s);
FOR(i, l) FOR(j, l)
if (r[i] == buf[j]) {
r[i] = buf[(j + max) % l] & ~128;
buf[j] |= 128;
break;
}
*diff = 0;
FOR(i, l) *diff += r[i] == s[i];
return r;
}
int main()
{
int i, d;
const char *r, *t[] = {"abracadabra", "seesaw", "elk", "grrrrrr", "up", "a", 0};
for (i = 0; t[i]; i++) {
r = best_shuffle(t[i], &d);
printf("%s %s (%d)\n", t[i], r, d);
}
return 0;
}

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(defn score [before after]
(->> (map = before after)
(filter true? ,)
count))
(defn merge-vecs [init vecs]
(reduce (fn [counts [index x]]
(assoc counts x (conj (get counts x []) index)))
init vecs))
(defn frequency
"Returns a collection of indecies of distinct items"
[coll]
(->> (map-indexed vector coll)
(merge-vecs {} ,)))
(defn group-indecies [s]
(->> (frequency s)
vals
(sort-by count ,)
reverse))
(defn cycles [coll]
(let [n (count (first coll))
cycle (cycle (range n))
coll (apply concat coll)]
(->> (map vector coll cycle)
(merge-vecs [] ,))))
(defn rotate [n coll]
(let [c (count coll)
n (rem (+ c n) c)]
(concat (drop n coll) (take n coll))))
(defn best-shuffle [s]
(let [ref (cycles (group-indecies s))
prm (apply concat (map (partial rotate 1) ref))
ref (apply concat ref)]
(->> (map vector ref prm)
(sort-by first ,)
(map second ,)
(map (partial get s) ,)
(apply str ,)
(#(vector s % (score s %))))))
user> (->> ["abracadabra" "seesaw" "elk" "grrrrrr" "up" "a"]
(map best-shuffle ,)
vec)
[["abracadabra" "bdabararaac" 0]
["seesaw" "eawess" 0]
["elk" "lke" 0]
["grrrrrr" "rgrrrrr" 5]
["up" "pu" 0]
["a" "a" 1]]

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(defun count-equal-chars (string1 string2)
(loop for c1 across string1 and c2 across string2
count (char= c1 c2)))
(defun shuffle (string)
(let ((length (length string))
(result (copy-seq string)))
(dotimes (i length result)
(dotimes (j length)
(when (and (/= i j)
(char/= (aref string i) (aref result j))
(char/= (aref string j) (aref result i)))
(rotatef (aref result i) (aref result j)))))))
(defun best-shuffle (list)
(dolist (string list)
(let ((shuffled (shuffle string)))
(format t "~%~a ~a (~a)"
string
shuffled
(count-equal-chars string shuffled)))))
(best-shuffle '("abracadabra" "seesaw" "elk" "grrrrrr" "up" "a"))

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(defun all-best-shuffles (str)
(let (tbl out (shortest (length str)) (s str))
(labels ((perm (ar l tmpl res overlap)
(when (> overlap shortest)
(return-from perm))
(when (zerop l) ; max depth of perm
(when (< overlap shortest)
(setf shortest overlap out '()))
(when (= overlap shortest)
(setf res (reverse (format nil "~{~c~^~}" res)))
(push (list res overlap) out)
(return-from perm)))
(decf l)
(dolist (x ar)
(when (plusp (cdr x))
(when (char= (car x) (char tmpl l))
(incf overlap))
(decf (cdr x))
(push (car x) res)
(perm ar l tmpl res overlap)
(pop res)
(incf (cdr x))
(when (char= (car x) (char tmpl l))
(decf overlap))))))
(loop while (plusp (length s)) do
(let* ((c (char s 0))
(l (count c s)))
(push (cons c l) tbl)
(setf s (remove c s))))
(perm tbl (length str) (reverse str) '() 0))
out))
(defun best-shuffle (str)
"Algorithm: list all best shuffles, then pick one"
(let ((c (all-best-shuffles str)))
(elt c (random (length c)))))
(format t "All best shuffles:")
(print (all-best-shuffles "seesaw"))
(format t "~%~%Random best shuffles:~%")
(dolist (s (list "abracadabra" "seesaw" "elk" "grrrrrr" "up" "a"))
(format t "~A: ~A~%" s (best-shuffle s)))

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abracadabra: (caardrabaab 0)
seesaw: (ewsase 0)
elk: (kel 0)
grrrrrr: (rrrgrrr 5)
up: (pu 0)
a: (a 1)

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def best_shuffle(s)
# Fill _pos_ with positions in the order
# that we want to fill them.
pos = [] of Int32
# g["a"] = [2, 4] implies that s[2] == s[4] == "a"
g = s.size.times.group_by { |i| s[i] }
# k sorts letters from low to high count
# k = g.sort_by { |k, v| v.length }.map { |k, v| k } # in Ruby
# k = g.to_a.sort_by { |(k, v)| v.size }.map { |(k, v)| k } # Crystal direct
k = g.to_a.sort_by { |h| h[1].size }.map { |h| h[0] } # Crystal shorter
until g.empty?
k.each do |letter|
g.has_key?(letter) || next # next unless g.has_key? letter
pos << g[letter].pop
g[letter].empty? && g.delete letter # g.delete(letter) if g[letter].empty?
end
end
# Now fill in _new_ with _letters_ according to each position
# in _pos_, but skip ahead in _letters_ if we can avoid
# matching characters that way.
letters = s.dup
new = "?" * s.size
until letters.empty?
i, p = 0, pos.pop
while letters[i] == s[p] && i < (letters.size - 1); i += 1 end
# new[p] = letters.slice! i # in Ruby
new = new.sub(p, letters[i]); letters = letters.sub(i, "")
end
score = new.chars.zip(s.chars).count { |c, d| c == d }
{new, score}
end
%w(abracadabra seesaw elk grrrrrr up a).each do |word|
# puts "%s, %s, (%d)" % [word, *best_shuffle(word)] # in Ruby
new, score = best_shuffle(word)
puts "%s, %s, (%d)" % [word, new, score]
end

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@ -0,0 +1,41 @@
import std.stdio, std.random, std.algorithm, std.conv, std.range,
std.traits, std.typecons;
auto bestShuffle(S)(in S orig) @safe if (isSomeString!S) {
static if (isNarrowString!S)
immutable o = orig.dtext;
else
alias o = orig;
auto s = o.dup;
s.randomShuffle;
foreach (immutable i, ref ci; s) {
if (ci != o[i])
continue;
foreach (immutable j, ref cj; s)
if (ci != cj && ci != o[j] && cj != o[i]) {
swap(ci, cj);
break;
}
}
return tuple(s, s.zip(o).count!q{ a[0] == a[1] });
} unittest {
assert("abracadabra".bestShuffle[1] == 0);
assert("immediately".bestShuffle[1] == 0);
assert("grrrrrr".bestShuffle[1] == 5);
assert("seesaw".bestShuffle[1] == 0);
assert("pop".bestShuffle[1] == 1);
assert("up".bestShuffle[1] == 0);
assert("a".bestShuffle[1] == 1);
assert("".bestShuffle[1] == 0);
}
void main(in string[] args) @safe {
if (args.length > 1) {
immutable entry = args.dropOne.join(' ');
const res = entry.bestShuffle;
writefln("%s : %s (%d)", entry, res[]);
}
}

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@ -0,0 +1,103 @@
import std.stdio, std.algorithm, std.range;
extern(C) pure nothrow void* alloca(in size_t size);
void bestShuffle(in char[] txt, ref char[] result) pure nothrow {
// Assume alloca to be pure.
//extern(C) pure nothrow void* alloca(in size_t size);
enum size_t NCHAR = size_t(char.max + 1);
enum size_t MAX_VLA_SIZE = 1024;
immutable size_t len = txt.length;
if (len == 0)
return;
// txt and result must have the same length
// allocate only when necessary
if (result.length != len)
result.length = len;
// how many of each character?
size_t[NCHAR] counts;
size_t fmax = 0;
foreach (immutable char c; txt) {
counts[c]++;
if (fmax < counts[c])
fmax = counts[c];
}
assert(fmax > 0 && fmax <= len);
// all character positions, grouped by character
size_t[] ndx1;
{
size_t* ptr1;
if ((len * size_t.sizeof) < MAX_VLA_SIZE)
ptr1 = cast(size_t*)alloca(len * size_t.sizeof);
// If alloca() has failed, or the memory needed is too much
// large, then allocate from the heap.
ndx1 = (ptr1 == null) ? new size_t[len] : ptr1[0 .. len];
}
{
int pos = 0;
foreach (immutable size_t ch; 0 .. NCHAR)
if (counts[ch])
foreach (j, char c; txt)
if (c == ch) {
ndx1[pos] = j;
pos++;
}
}
// regroup them for cycles
size_t[] ndx2;
{
size_t* ptr2;
if ((len * size_t.sizeof) < MAX_VLA_SIZE)
ptr2 = cast(size_t*)alloca(len * size_t.sizeof);
ndx2 = (ptr2 == null) ? new size_t[len] : ptr2[0 .. len];
}
{
size_t n, m;
foreach (immutable size_t i; 0 .. len) {
ndx2[i] = ndx1[n];
n += fmax;
if (n >= len) {
m++;
n = m;
}
}
}
// How long can our cyclic groups be?
immutable size_t grp = 1 + (len - 1) / fmax;
// How many of them are full length?
immutable size_t lng = 1 + (len - 1) % fmax;
// Rotate each group.
{
size_t j;
foreach (immutable size_t i; 0 .. fmax) {
immutable size_t first = ndx2[j];
immutable size_t glen = grp - (i < lng ? 0 : 1);
foreach (immutable size_t k; 1 .. glen)
ndx1[j + k - 1] = ndx2[j + k];
ndx1[j + glen - 1] = first;
j += glen;
}
}
// Result is original permuted according to our cyclic groups.
foreach (immutable size_t i; 0 .. len)
result[ndx2[i]] = txt[ndx1[i]];
}
void main() {
auto data = ["abracadabra", "seesaw", "elk", "grrrrrr",
"up", "a", "aabbbbaa", "", "xxxxx"];
foreach (txt; data) {
auto result = txt.dup;
bestShuffle(txt, result);
immutable nEqual = zip(txt, result).count!q{ a[0] == a[1] };
writefln("%s, %s, (%d)", txt, result, nEqual);
}
}

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@ -0,0 +1,138 @@
program Best_shuffle;
{$APPTYPE CONSOLE}
uses
System.SysUtils,
System.Generics.Collections;
type
TShuffledString = record
private
original: string;
Shuffled: TStringBuilder;
ignoredChars: Integer;
procedure DetectIgnores;
procedure Shuffle;
procedure Swap(pos1, pos2: Integer);
function TrySwap(pos1, pos2: Integer): Boolean;
function GetShuffled: string;
public
class operator Implicit(convert: string): TShuffledString;
constructor Create(Word: string);
procedure Free;
property Ignored: integer read ignoredChars;
property ToString: string read GetShuffled;
end;
{ TShuffledString }
procedure TShuffledString.Swap(pos1, pos2: Integer);
var
temp: char;
begin
temp := shuffled[pos1];
shuffled[pos1] := shuffled[pos2];
shuffled[pos2] := temp;
end;
function TShuffledString.TrySwap(pos1, pos2: Integer): Boolean;
begin
if (original[pos1] = shuffled[pos2]) or (original[pos2] = shuffled[pos1]) then
Exit(false)
else
Exit(true);
end;
procedure TShuffledString.Shuffle;
var
length, swaps: Integer;
used: TList<Integer>;
i, j, k: Integer;
begin
Randomize;
length := original.Length;
used := TList<Integer>.create();
for i := 0 to length - 1 do
begin
swaps := 0;
while used.Count <= (length - i) do
begin
j := i + Random(length - 1 - i);
if (original[i] <> original[j]) and TrySwap(i, j) and (not used.Contains(j)) then
begin
Swap(i, j);
Inc(swaps);
break;
end
else
used.Add(j);
end;
if swaps = 0 then
begin
for k := i downto 0 do
begin
if TrySwap(i, k) then
Swap(i, k);
end;
end;
used.Clear();
end;
used.Free;
end;
constructor TShuffledString.Create(Word: string);
begin
original := Word;
shuffled := TStringBuilder.create(Word);
Shuffle();
DetectIgnores();
end;
procedure TShuffledString.DetectIgnores;
var
ignores, i: Integer;
begin
ignores := 0;
for i := 0 to original.Length - 1 do
begin
if original[i] = shuffled[i] then
Inc(ignores);
end;
ignoredChars := ignores;
end;
procedure TShuffledString.Free;
begin
Shuffled.Free;
end;
function TShuffledString.GetShuffled: string;
begin
result := shuffled.ToString();
end;
class operator TShuffledString.Implicit(convert: string): TShuffledString;
begin
result := TShuffledString.Create(convert);
end;
var
words: array of string;
Word: TShuffledString;
w: string;
begin
words := ['abracadabra', 'seesaw', 'elk', 'grrrrrr', 'up', 'a'];
for w in words do
begin
Word := w;
writeln(format('%s, %s, (%d)', [Word.Original, Word.ToString, Word.Ignored]));
Word.Free;
end;
Readln;
end.

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@ -0,0 +1,48 @@
import system'routines;
import extensions;
import extensions'text;
extension op
{
get Shuffled()
{
var original := self.toArray();
var shuffled := self.toArray();
for (int i := 0, i < original.Length, i += 1) {
for (int j := 0, j < original.Length, j += 1) {
if (i != j && original[i] != shuffled[j] && original[j] != shuffled[i])
{
shuffled.exchange(i,j)
}
}
};
^ shuffled.summarize(new StringWriter()).toString()
}
score(originalText)
{
var shuffled := self.toArray();
var original := originalText.toArray();
int score := 0;
for (int i := 0, i < original.Length, i += 1) {
if (original[i] == shuffled[i]) { score += 1 }
};
^ score
}
}
public program()
{
new string[]{"abracadabra", "seesaw", "grrrrrr", "pop", "up", "a"}.forEach:(s)
{
var shuffled_s := s.Shuffled;
console.printLine("The best shuffle of ",s," is ",shuffled_s,"(",shuffled_s.score(s),")")
};
console.readChar()
}

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@ -0,0 +1,38 @@
-module( best_shuffle ).
-export( [sameness/2, string/1, task/0] ).
sameness( String1, String2 ) -> lists:sum( [1 || {X, X} <- lists:zip(String1, String2)] ).
string( String ) ->
{"", String, Acc} = lists:foldl( fun different/2, {lists:reverse(String), String, []}, String ),
lists:reverse( Acc ).
task() ->
Strings = ["abracadabra", "seesaw", "elk", "grrrrrr", "up", "a"],
Shuffleds = [string(X) || X <- Strings],
[io:fwrite("~p ~p ~p~n", [X, Y, sameness(X,Y)]) || {X, Y} <- lists:zip(Strings, Shuffleds)].
different( Character, {[Character], Original, Acc} ) ->
try_to_save_last( Character, Original, Acc );
different( Character, {[Character | T]=Not_useds, Original, Acc} ) ->
Different_or_same = different_or_same( [X || X <- T, X =/= Character], Character ),
{lists:delete(Different_or_same, Not_useds), Original, [Different_or_same | Acc]};
different( _Character1, {[Character2 | T], Original, Acc} ) ->
{T, Original, [Character2 | Acc]}.
different_or_same( [Different | _T], _Character ) -> Different;
different_or_same( [], Character ) -> Character.
try_to_save_last( Character, Original_string, Acc ) ->
Fun = fun ({X, Y}) -> (X =:= Y) orelse (X =:= Character) end,
New_acc = try_to_save_last( lists:splitwith(Fun, lists:zip(lists:reverse(Original_string), [Character | Acc])), [Character | Acc] ),
{"", Original_string, New_acc}.
try_to_save_last( {_Not_split, []}, Acc ) -> Acc;
try_to_save_last( {Last_reversed_zip, First_reversed_zip}, _Acc ) ->
{_Last_reversed_original, [Last_character_acc | Last_part_acc]} = lists:unzip( Last_reversed_zip ),
{_First_reversed_original, [Character_acc | First_part_acc]} = lists:unzip( First_reversed_zip ),
[Character_acc | Last_part_acc] ++ [Last_character_acc | First_part_acc].

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@ -0,0 +1,45 @@
Program BestShuffle;
Const
arr : array[1..6] Of string = ('abracadabra','seesaw','elk','grrrrrr','up','a');
Function Shuffle(inp: String): STRING;
Var x,ReplacementDigit : longint;
ch : char;
Begin
If length(inp) > 1 Then
Begin
Randomize;
For x := 1 To length(inp) Do
Begin
Repeat
ReplacementDigit := random(length(inp))+1;
Until (ReplacementDigit <> x);
ch := inp[x];
inp[x] := inp[ReplacementDigit];
inp[ReplacementDigit] := ch;
End;
End;
shuffle := inp;
End;
Function score(OrgString,ShuString : String) : integer;
Var i : integer;
Begin
score := 0;
For i := 1 To length(OrgString) Do
If OrgString[i] = ShuString[i] Then inc(score);
End;
Var i : integer;
shuffled : string;
Begin
For i := low(arr) To high(arr) Do
Begin
shuffled := shuffle(arr[i]);
writeln(arr[i],' , ',shuffled,' , (',score(arr[i],shuffled),')');
End;
End.

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@ -0,0 +1,28 @@
Dim As String*11 lista(6) => {"abracadabra","seesaw","pop","grrrrrr","up","a"}
Function bestShuffle(s1 As String) As String
Dim As String s2 = s1
Dim As Integer i, j, i1, j1
For i = 1 To Len(s2)
For j = 1 To Len(s2)
If (i <> j) And (Mid(s2,i,1) <> Mid(s1,j,1)) And (Mid(s2,j,1) <> Mid(s1,i,1)) Then
If j < i Then i1 = j : j1 = i Else i1 = i : j1 = j
s2 = Left(s2,i1-1) + Mid(s2,j1,1) + Mid(s2,i1+1,(j1-i1)-1) + Mid(s2,i1,1) + Mid(s2,j1+1)
End If
Next j
Next i
bestShuffle = s2
End Function
Dim As String palabra, bs
Dim As Integer puntos
For b As Integer = 0 To Ubound(lista)-1
palabra = lista(b)
bs = bestShuffle(palabra)
puntos = 0
For i As Integer = 1 To Len(palabra)
If Mid(palabra,i,1) = Mid(bs,i,1) Then puntos += 1
Next i
Print palabra; " ==> "; bs; " (puntuaci¢n:"; puntos; ")"
Next b
Sleep

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include "Tlbx GameplayKit.incl"
include "NSLog.incl"
local fn ShuffleString( string as CFStringRef ) as CFStringRef
NSInteger i
CFMutableArrayRef mutArr = fn MutableArrayWithCapacity( 0 )
for i = 0 to fn StringLength( string ) - 1
MutableArrayAddObject( mutArr, fn StringSubstringWithRange( string, fn CFRangeMake( i, 1 ) ) )
next
CFArrayRef shuffledArr = fn GKRandomSourceArrayByShufflingObjectsInArray( fn GKRandomSourceInit, mutArr )
end fn = fn ArrayComponentsJoinedByString( shuffledArr, @"" )
local fn StringDifferences( string1 as CFStringRef, string2 as CFStringRef ) as NSInteger
NSInteger i, unchangedPosition = 0
if fn StringLength( string1 ) != fn StringLength( string2 ) then NSLog( @"Strings must be of equal length." ) : exit fn
for i = 0 to fn StringLength( string1 ) -1
CFStringRef tempStr1 = fn StringSubstringWithRange( string1, fn CFRangeMake( i, 1 ) )
CFStringRef tempStr2 = fn StringSubstringWithRange( string2, fn CFRangeMake( i, 1 ) )
if fn StringIsEqual( tempStr1, tempStr2 ) == YES then unchangedPosition++
next
end fn = unchangedPosition
NSInteger i, j, count
CFArrayRef stringArr
CFStringRef originalStr, shuffledStr
stringArr = @[@"abracadabra", @"seesaw", @"elk", @"grrrrrr", @"up", @"a"]
count = fn ArrayCount( stringArr )
for i = 0 to 3
for j = 0 to count - 1
originalStr = stringArr[j]
shuffledStr = fn ShuffleString( stringArr[j] )
NSLog( @"%@, %@, (%ld)", originalStr, shuffledStr, fn StringDifferences( originalStr, shuffledStr ) )
next
NSLog( @"\n" )
next
HandleEvents

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package main
import (
"fmt"
"math/rand"
"time"
)
var ts = []string{"abracadabra", "seesaw", "elk", "grrrrrr", "up", "a"}
func main() {
rand.Seed(time.Now().UnixNano())
for _, s := range ts {
// create shuffled byte array of original string
t := make([]byte, len(s))
for i, r := range rand.Perm(len(s)) {
t[i] = s[r]
}
// algorithm of Icon solution
for i := range t {
for j := range t {
if i != j && t[i] != s[j] && t[j] != s[i] {
t[i], t[j] = t[j], t[i]
break
}
}
}
// count unchanged and output
var count int
for i, ic := range t {
if ic == s[i] {
count++
}
}
fmt.Printf("%s -> %s (%d)\n", s, string(t), count)
}
}

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def shuffle(text) {
def shuffled = (text as List)
for (sourceIndex in 0..<text.size()) {
for (destinationIndex in 0..<text.size()) {
if (shuffled[sourceIndex] != shuffled[destinationIndex] && shuffled[sourceIndex] != text[destinationIndex] && shuffled[destinationIndex] != text[sourceIndex]) {
char tmp = shuffled[sourceIndex];
shuffled[sourceIndex] = shuffled[destinationIndex];
shuffled[destinationIndex] = tmp;
break;
}
}
}
[original: text, shuffled: shuffled.join(""), score: score(text, shuffled)]
}
def score(original, shuffled) {
int score = 0
original.eachWithIndex { character, index ->
if (character == shuffled[index]) {
score++
}
}
score
}
["abracadabra", "seesaw", "elk", "grrrrrr", "up", "a"].each { text ->
def result = shuffle(text)
println "${result.original}, ${result.shuffled}, (${result.score})"
}

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shufflingQuality l1 l2 = length $ filter id $ zipWith (==) l1 l2
printTest prog = mapM_ test texts
where
test s = do
x <- prog s
putStrLn $ unwords $ [ show s
, show x
, show $ shufflingQuality s x]
texts = [ "abba", "abracadabra", "seesaw", "elk" , "grrrrrr"
, "up", "a", "aaaaa.....bbbbb"
, "Rosetta Code is a programming chrestomathy site." ]

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import Data.Vector ((//), (!))
import qualified Data.Vector as V
import Data.List (delete, find)
swapShuffle :: Eq a => [a] -> [a] -> [a]
swapShuffle lref lst = V.toList $ foldr adjust (V.fromList lst) [0..n-1]
where
vref = V.fromList lref
n = V.length vref
adjust i v = case find alternative [0.. n-1] of
Nothing -> v
Just j -> v // [(j, v!i), (i, v!j)]
where
alternative j = and [ v!i == vref!i
, i /= j
, v!i /= vref!j
, v!j /= vref!i ]
shuffle :: Eq a => [a] -> [a]
shuffle lst = swapShuffle lst lst

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perfectShuffle :: [a] -> [a]
perfectShuffle [] = []
perfectShuffle lst | odd n = b : shuffle (zip bs a)
| even n = shuffle (zip (b:bs) a)
where
n = length lst
(a,b:bs) = splitAt (n `div` 2) lst
shuffle = foldMap (\(x,y) -> [x,y])
shuffleP :: Eq a => [a] -> [a]
shuffleP lst = swapShuffle lst $ perfectShuffle lst

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import Control.Monad.Random (getRandomR)

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randomShuffle :: [a] -> IO [a]
randomShuffle [] = return []
randomShuffle lst = do
i <- getRandomR (0,length lst-1)
let (a, x:b) = splitAt i lst
xs <- randomShuffle $ a ++ b
return (x:xs)
shuffleR :: Eq a => [a] -> IO [a]
shuffleR lst = swapShuffle lst <$> randomShuffle lst

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{-# LANGUAGE TupleSections, LambdaCase #-}
import Conduit
import Control.Monad.Random (getRandomR)
import Data.List (delete, find)
shuffleC :: Eq a => Int -> Conduit a IO a
shuffleC 0 = awaitForever yield
shuffleC k = takeC k .| sinkList >>= \v -> delay v .| randomReplace v
delay :: Monad m => [a] -> Conduit t m (a, [a])
delay [] = mapC $ \x -> (x,[x])
delay (b:bs) = await >>= \case
Nothing -> yieldMany (b:bs) .| mapC (,[])
Just x -> yield (b, [x]) >> delay (bs ++ [x])
randomReplace :: Eq a => [a] -> Conduit (a, [a]) IO a
randomReplace vars = awaitForever $ \(x,b) -> do
y <- case filter (/= x) vars of
[] -> pure x
vs -> lift $ (vs !!) <$> getRandomR (0, length vs - 1)
yield y
randomReplace $ b ++ delete y vars
shuffleW :: Eq a => Int -> [a] -> IO [a]
shuffleW k lst = yieldMany lst =$= shuffleC k $$ sinkList

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import Data.ByteString.Builder (charUtf8)
import Data.ByteString.Char8 (ByteString, unpack, pack)
import Data.Conduit.ByteString.Builder (builderToByteString)
import System.IO (stdin, stdout)

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shuffleBS :: Int -> ByteString -> IO ByteString
shuffleBS n s =
yieldMany (unpack s)
=$ shuffleC n
=$ mapC charUtf8
=$ builderToByteString
$$ foldC
main :: IO ()
main =
sourceHandle stdin
=$ mapMC (shuffleBS 10)
$$ sinkHandle stdout

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# every !t :=: ?t # Uncomment to get a random best shuffling

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procedure main(args)
while scram := bestShuffle(line := read()) do
write(line," -> ",scram," (",unchanged(line,scram),")")
end
procedure bestShuffle(s)
t := s
# every !t :=: ?t # Uncomment to get a random best shuffling
every i := 1 to *t do
every j := (1 to i-1) | (i+1 to *t) do
if (t[i] ~== s[j]) & (s[i] ~== t[j]) then break t[i] :=: t[j]
return t
end
procedure unchanged(s1,s2) # Number of unchanged elements
every (count := 0) +:= (s1[i := 1 to *s1] == s2[i], 1)
return count
end

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bestShuf =: verb define
yy=. <@({~ ?~@#)@I.@= y
y C.~ (;yy) </.~ (i.#y) |~ >./#@> yy
)
fmtBest=:3 :0
b=. bestShuf y
y,', ',b,' (',')',~":+/b=y
)

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fmtBest&>;:'abracadabra seesaw elk grrrrrr up a'
abracadabra, bdacararaab (0)
seesaw, eawess (0)
elk, lke (0)
grrrrrr, rrrrrrg (5)
up, pu (0)
a, a (1)

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import java.util.Random;
public class BestShuffle {
private final static Random rand = new Random();
public static void main(String[] args) {
String[] words = {"abracadabra", "seesaw", "grrrrrr", "pop", "up", "a"};
for (String w : words)
System.out.println(bestShuffle(w));
}
public static String bestShuffle(final String s1) {
char[] s2 = s1.toCharArray();
shuffle(s2);
for (int i = 0; i < s2.length; i++) {
if (s2[i] != s1.charAt(i))
continue;
for (int j = 0; j < s2.length; j++) {
if (s2[i] != s2[j] && s2[i] != s1.charAt(j) && s2[j] != s1.charAt(i)) {
char tmp = s2[i];
s2[i] = s2[j];
s2[j] = tmp;
break;
}
}
}
return s1 + " " + new String(s2) + " (" + count(s1, s2) + ")";
}
public static void shuffle(char[] text) {
for (int i = text.length - 1; i > 0; i--) {
int r = rand.nextInt(i + 1);
char tmp = text[i];
text[i] = text[r];
text[r] = tmp;
}
}
private static int count(final String s1, final char[] s2) {
int count = 0;
for (int i = 0; i < s2.length; i++)
if (s1.charAt(i) == s2[i])
count++;
return count;
}
}

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function raze(a) { // like .join('') except producing an array instead of a string
var r= [];
for (var j= 0; j<a.length; j++)
for (var k= 0; k<a[j].length; k++) r.push(a[j][k]);
return r;
}
function shuffle(y) {
var len= y.length;
for (var j= 0; j < len; j++) {
var i= Math.floor(Math.random()*len);
var t= y[i];
y[i]= y[j];
y[j]= t;
}
return y;
}
function bestShuf(txt) {
var chs= txt.split('');
var gr= {};
var mx= 0;
for (var j= 0; j<chs.length; j++) {
var ch= chs[j];
if (null == gr[ch]) gr[ch]= [];
gr[ch].push(j);
if (mx < gr[ch].length) mx++;
}
var inds= [];
for (var ch in gr) inds.push(shuffle(gr[ch]));
var ndx= raze(inds);
var cycles= [];
for (var k= 0; k < mx; k++) cycles[k]= [];
for (var j= 0; j<chs.length; j++) cycles[j%mx].push(ndx[j]);
var ref= raze(cycles);
for (var k= 0; k < mx; k++) cycles[k].push(cycles[k].shift());
var prm= raze(cycles);
var shf= [];
for (var j= 0; j<chs.length; j++) shf[ref[j]]= chs[prm[j]];
return shf.join('');
}
function disp(ex) {
var r= bestShuf(ex);
var n= 0;
for (var j= 0; j<ex.length; j++)
n+= ex.substr(j, 1) == r.substr(j,1) ?1 :0;
return ex+', '+r+', ('+n+')';
}

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<html><head><title></title></head><body><pre id="out"></pre></body></html>
<script type="text/javascript">
/* ABOVE CODE GOES HERE */
var sample= ['abracadabra', 'seesaw', 'elk', 'grrrrrr', 'up', 'a']
for (var i= 0; i<sample.length; i++)
document.getElementById('out').innerHTML+= disp(sample[i])+'\r\n';
</script>

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def count(s): reduce s as $i (0;.+1);
def swap($i;$j):
.[$i] as $x | .[$i] = .[$j] | .[$j] = $x;
# Input: an array
# Output: a best shuffle
def bestShuffleArray:
. as $s
| reduce range(0; length) as $i (.;
. as $t
| (first(range(0; length)
| select( $i != . and
$t[$i] != $s[.] and
$s[$i] != $t[.] and
$t[$i] != $t[.])) as $j
| swap($i;$j))
// $t # fallback
);
# Award 1 for every spot which changed:
def score($base):
. as $in
| count( range(0;length)
| select($base[.] != $in[.]) );
# Input: a string
# Output: INPUT, BESTSHUFFLE, (NUMBER)
def bestShuffle:
. as $in
| explode
| . as $s
| bestShuffleArray
| "\($in), \(implode), (\( length - score($s) ))" ;

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"abracadabra", "seesaw", "elk", "grrrrrr", "up", "a", "antidisestablishmentarianism"
| bestShuffle

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# v0.6
function bestshuffle(str::String)::Tuple{String,Int}
s = Vector{Char}(str)
# Count the supply of characters.
cnt = Dict{Char,Int}(c => 0 for c in s)
for c in s; cnt[c] += 1 end
# Allocate the result
r = similar(s)
for (i, x) in enumerate(s)
# Find the best character to replace x.
best = x
rankb = -2
for (c, rankc) in cnt
# Prefer characters with more supply.
# (Save characters with less supply.)
# Avoid identical characters.
if c == x; rankc = -1 end
if rankc > rankb
best = c
rankb = rankc
end
end
# Add character to list. Remove it from supply.
r[i] = best
cnt[best] -= 1
if cnt[best] == 0; delete!(cnt, best) end
end
# If the final letter became stuck (as "ababcd" became "bacabd",
# and the final "d" became stuck), then fix it.
i = length(s)
if r[i] == s[i]
for j in 1:i
if r[i] != s[j] && r[j] != s[i]
r[i], r[j] = r[j], r[i]
break
end
end
end
score = sum(x == y for (x, y) in zip(r, s))
return r, score
end
for word in ("abracadabra", "seesaw", "elk", "grrrrrr", "up", "a")
shuffled, score = bestshuffle(word)
println("$word: $shuffled ($score)")
end

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import java.util.Random
object BestShuffle {
operator fun invoke(s1: String) : String {
val s2 = s1.toCharArray()
s2.shuffle()
for (i in s2.indices)
if (s2[i] == s1[i])
for (j in s2.indices)
if (s2[i] != s2[j] && s2[i] != s1[j] && s2[j] != s1[i]) {
val tmp = s2[i]
s2[i] = s2[j]
s2[j] = tmp
break
}
return s1 + ' ' + String(s2) + " (" + s2.count(s1) + ')'
}
private fun CharArray.shuffle() {
val rand = Random()
for (i in size - 1 downTo 1) {
val r = rand.nextInt(i + 1)
val tmp = this[i]
this[i] = this[r]
this[r] = tmp
}
}
private fun CharArray.count(s1: String) : Int {
var count = 0
for (i in indices)
if (s1[i] == this[i]) count++
return count
}
}
fun main(words: Array<String>) = words.forEach { println(BestShuffle(it)) }

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'see Run BASIC solution
list$ = "abracadabra seesaw pop grrrrrr up a"
while word$(list$,ii + 1," ") <> ""
ii = ii + 1
w$ = word$(list$,ii," ")
bs$ = bestShuffle$(w$)
count = 0
for i = 1 to len(w$)
if mid$(w$,i,1) = mid$(bs$,i,1) then count = count + 1
next i
print w$;" ";bs$;" ";count
wend
function bestShuffle$(s1$)
s2$ = s1$
for i = 1 to len(s2$)
for j = 1 to len(s2$)
if (i <> j) and (mid$(s2$,i,1) <> mid$(s1$,j,1)) and (mid$(s2$,j,1) <> mid$(s1$,i,1)) then
if j < i then i1 = j:j1 = i else i1 = i:j1 = j
s2$ = left$(s2$,i1-1) + mid$(s2$,j1,1) + mid$(s2$,i1+1,(j1-i1)-1) + mid$(s2$,i1,1) + mid$(s2$,j1+1)
end if
next j
next i
bestShuffle$ = s2$
end function

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math.randomseed(os.time())
local function shuffle(t)
for i = #t, 2, -1 do
local j = math.random(i)
t[i], t[j] = t[j], t[i]
end
end
local function bestshuffle(s, r)
local order, shufl, count = {}, {}, 0
for ch in s:gmatch(".") do order[#order+1], shufl[#shufl+1] = ch, ch end
if r then shuffle(shufl) end
for i = 1, #shufl do
for j = 1, #shufl do
if i ~= j and shufl[i] ~= order[j] and shufl[j] ~= order[i] then
shufl[i], shufl[j] = shufl[j], shufl[i]
end
end
end
for i = 1, #shufl do
if shufl[i] == order[i] then
count = count + 1
end
end
return table.concat(shufl), count
end
local words = { "abracadabra", "seesaw", "elk", "grrrrrr", "up", "a" }
local function test(r)
print(r and "RANDOM:" or "DETERMINISTIC:")
for _, word in ipairs(words) do
local shufl, count = bestshuffle(word, r)
print(string.format("%s, %s, (%d)", word, shufl, count))
end
print()
end
test(true)
test(false)

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BestShuffle[data_] :=
Flatten[{data,First[SortBy[
List[#, StringLength[data]-HammingDistance[#,data]] & /@ StringJoin /@ Permutations[StringSplit[data, ""]], Last]]}]
Print[#[[1]], "," #[[2]], ",(", #[[3]], ")"] & /@ BestShuffle /@ {"abracadabra","seesaw","elk","grrrrrr","up","a"}

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import times
import sequtils
import strutils
import random
proc count(s1, s2: string): int =
for i, c in s1:
if c == s2[i]:
result.inc
proc shuffle(str: string): string =
var r = initRand(getTime().toUnix())
var chrs = toSeq(str.items)
for i in 0 ..< chrs.len:
let chosen = r.rand(chrs.len-1)
swap(chrs[i], chrs[chosen])
return chrs.join("")
proc bestShuffle(str: string): string =
var chrs = toSeq(shuffle(str).items)
for i in chrs.low .. chrs.high:
if chrs[i] != str[i]:
continue
for j in chrs.low .. chrs.high:
if chrs[i] != chrs[j] and chrs[i] != str[j] and chrs[j] != str[i]:
swap(chrs[i], chrs[j])
break
return chrs.join("")
when isMainModule:
let words = @["abracadabra", "seesaw", "grrrrrr", "pop", "up", "a", "antidisestablishmentarianism"];
for w in words:
let shuffled = bestShuffle(w)
echo "$1 $2 $3" % [w, shuffled, $count(w, shuffled)]

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let best_shuffle s =
let len = String.length s in
let r = String.copy s in
for i = 0 to pred len do
for j = 0 to pred len do
if i <> j && s.[i] <> r.[j] && s.[j] <> r.[i] then
begin
let tmp = r.[i] in
r.[i] <- r.[j];
r.[j] <- tmp;
end
done;
done;
(r)
let count_same s1 s2 =
let len1 = String.length s1
and len2 = String.length s2 in
let n = ref 0 in
for i = 0 to pred (min len1 len2) do
if s1.[i] = s2.[i] then incr n
done;
!n
let () =
let test s =
let s2 = best_shuffle s in
Printf.printf " '%s', '%s' -> %d\n" s s2 (count_same s s2);
in
test "tree";
test "abracadabra";
test "seesaw";
test "elk";
test "grrrrrr";
test "up";
test "a";
;;

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foreach (split(' ', 'abracadabra seesaw pop grrrrrr up a') as $w)
echo bestShuffle($w) . '<br>';
function bestShuffle($s1) {
$s2 = str_shuffle($s1);
for ($i = 0; $i < strlen($s2); $i++) {
if ($s2[$i] != $s1[$i]) continue;
for ($j = 0; $j < strlen($s2); $j++)
if ($i != $j && $s2[$i] != $s1[$j] && $s2[$j] != $s1[$i]) {
$t = $s2[$i];
$s2[$i] = $s2[$j];
$s2[$j] = $t;
break;
}
}
return "$s1 $s2 " . countSame($s1, $s2);
}
function countSame($s1, $s2) {
$cnt = 0;
for ($i = 0; $i < strlen($s2); $i++)
if ($s1[$i] == $s2[$i])
$cnt++;
return "($cnt)";
}

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shuffle: procedure options (main); /* 14/1/2011 */
declare (s, saves) character (20) varying, c character (1);
declare t(length(s)) bit (1);
declare (i, k, moves initial (0)) fixed binary;
get edit (s) (L);
put skip list (s);
saves = s;
t = '0'b;
do i = 1 to length (s);
if t(i) then iterate; /* This character has already been moved. */
c = substr(s, i, 1);
k = search (s, c, i+1);
if k > 0 then
do;
substr(s, i, 1) = substr(s, k, 1);
substr(s, k, 1) = c;
t(k), t(i) = '1'b;
end;
end;
do k = length(s) to 2 by -1;
if ^t(k) then /* this character wasn't moved. */
all: do;
c = substr(s, k, 1);
do i = k-1 to 1 by -1;
if c ^= substr(s, i, 1) then
if substr(saves, i, 1) ^= c then
do;
substr(s, k, 1) = substr(s, i, 1);
substr(s, i, 1) = c;
t(k) = '1'b;
leave all;
end;
end;
end;
end;
moves = length(s) - sum(t);
put skip edit (s, trim(moves))(a, x(1));
search: procedure (s, c, k) returns (fixed binary);
declare s character (*) varying;
declare c character (1);
declare k fixed binary;
declare i fixed binary;
do i = k to length(s);
if ^t(i) then if c ^= substr(s, i, 1) then return (i);
end;
return (0); /* No eligible character. */
end search;
end shuffle;

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program BestShuffleDemo(output);
function BestShuffle(s: string): string;
var
tmp: char;
i, j: integer;
t: string;
begin
t := s;
for i := 1 to length(t) do
for j := 1 to length(t) do
if (i <> j) and (s[i] <> t[j]) and (s[j] <> t[i]) then
begin
tmp := t[i];
t[i] := t[j];
t[j] := tmp;
end;
BestShuffle := t;
end;
const
original: array[1..6] of string =
('abracadabra', 'seesaw', 'elk', 'grrrrrr', 'up', 'a');
var
shuffle: string;
i, j, score: integer;
begin
for i := low(original) to high(original) do
begin
shuffle := BestShuffle(original[i]);
score := 0;
for j := 1 to length(shuffle) do
if original[i][j] = shuffle[j] then
inc(score);
writeln(original[i], ', ', shuffle, ', (', score, ')');
end;
end.

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use strict;
use warnings;
use feature 'bitwise';
use List::Util qw(shuffle);
use Algorithm::Permute;
best_shuffle($_) for qw(abracadabra seesaw elk grrrrrr up a);
sub best_shuffle {
my ($original_word) = @_;
my $best_word = $original_word;
my $best_score = length $best_word;
my @shuffled = shuffle split //, $original_word;
my $iterator = Algorithm::Permute->new(\@shuffled);
while( my @array = $iterator->next ) {
my $word = join '', @array;
# For each letter which is the same in the two words,
# there will be a \x00 in the "^" of the two words.
# The tr operator is then used to count the "\x00"s.
my $score = ($original_word ^. $word) =~ tr/\x00//;
next if $score >= $best_score;
($best_word, $best_score) = ($word, $score);
last if $score == 0;
}
print "$original_word, $best_word, $best_score\n";
}

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use strict;
use warnings;
use feature 'bitwise';
use List::Util qw(shuffle);
best_shuffle($_) for qw(abracadabra seesaw elk grrrrrr up a);
sub best_shuffle {
my ($original_word) = @_;
my @s = split //, $original_word;
my @t = shuffle @s;
for my $i ( 0 .. $#s ) {
for my $j ( 0 .. $#s ) {
next if $j == $i or
$t[$i] eq $s[$j] or
$t[$j] eq $s[$i];
@t[$i,$j] = @t[$j,$i];
last;
}
}
my $word = join '', @t;
my $score = ($original_word ^. $word) =~ tr/\x00//;
print "$original_word, $word, $score\n";
}

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(phixonline)-->
<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span>
<span style="color: #008080;">constant</span> <span style="color: #000000;">tests</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #008000;">"abracadabra"</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"seesaw"</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"elk"</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"grrrrrr"</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"up"</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"a"</span><span style="color: #0000FF;">}</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">test</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">tests</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
<span style="color: #004080;">string</span> <span style="color: #000000;">s</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">tests</span><span style="color: #0000FF;">[</span><span style="color: #000000;">test</span><span style="color: #0000FF;">],</span>
<span style="color: #000000;">t</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">shuffle</span><span style="color: #0000FF;">(</span><span style="color: #000000;">s</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">j</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
<span style="color: #004080;">integer</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">ti</span><span style="color: #0000FF;">,</span><span style="color: #000000;">tj</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">t</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">],</span><span style="color: #000000;">t</span><span style="color: #0000FF;">[</span><span style="color: #000000;">j</span><span style="color: #0000FF;">]}</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">!=</span><span style="color: #000000;">j</span> <span style="color: #008080;">and</span> <span style="color: #000000;">ti</span><span style="color: #0000FF;">!=</span><span style="color: #000000;">s</span><span style="color: #0000FF;">[</span><span style="color: #000000;">j</span><span style="color: #0000FF;">]</span> <span style="color: #008080;">and</span> <span style="color: #000000;">tj</span><span style="color: #0000FF;">!=</span><span style="color: #000000;">s</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">t</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">tj</span>
<span style="color: #000000;">t</span><span style="color: #0000FF;">[</span><span style="color: #000000;">j</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">ti</span>
<span style="color: #008080;">exit</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"%s -&gt; %s (%d)\n"</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">s</span><span style="color: #0000FF;">,</span><span style="color: #000000;">t</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">sum</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">sq_eq</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t</span><span style="color: #0000FF;">,</span><span style="color: #000000;">s</span><span style="color: #0000FF;">))})</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<!--

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import cp.
go =>
Words = ["abracadabra",
"seesaw",
"elk",
"grrrrrr",
"up",
"a",
"shuffle",
"aaaaaaa"
],
foreach(Word in Words)
best_shuffle(Word,Best,_Score),
printf("%s, %s, (%d)\n", Word,Best,diff_word(Word, Best))
end,
nl.
best_shuffle(Word,Best,Score) =>
WordAlpha = Word.map(ord), % convert to integers
WordAlphaNoDups = WordAlpha.remove_dups(),
% occurrences of each character in the word
Occurrences = occurrences(WordAlpha),
Len = Word.length,
% Decision variables
WordC = new_list(Len),
WordC :: WordAlphaNoDups,
%
% The constraints
%
% Ensure that the shuffled word has the same
% occurrences for each character
foreach(V in WordAlphaNoDups)
count(V, WordC,#=, Occurrences.get(V))
end,
% The score is the number of characters
% in the same position as the origin word
% (to be minimized).
Score #= sum([WordC[I] #= WordAlpha[I] : I in 1..Len]),
if var(Score) then
% We don't have a score yet: minimize Score
solve([$min(Score),split], WordC)
else
% Get a solution for the given Score
solve([split], WordC)
end,
% convert back to alpha
Best = WordC.map(chr).
diff_word(W1,W2) = Diff =>
Diff = sum([1 : I in 1..W1.length, W1[I]==W2[I]]).
occurrences(L) = Occ =>
Occ = new_map(),
foreach(E in L)
Occ.put(E, Occ.get(E,0) + 1)
end.

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go2 ?=>
Words = ["abracadabra",
"seesaw",
"elk",
"grrrrrr",
"up",
"a",
"shuffle",
"aaaaaaa"
],
member(Word,Words),
println(word=Word),
best_shuffle(Word,_Best,Score),
println(best_score=Score),
% Find all optimal solutions
All = findall(Best2,best_shuffle(Word,Best2,Score)),
Len = All.len,
println(num_solutions=All.len),
if Len <= 10 then
println(solutions=All)
else
println("Only showing the first 10 solutions:"),
println(solutions=All[1..10])
end,
nl,
fail,
nl.
go2 => true.

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(de bestShuffle (Str)
(let Lst NIL
(for C (setq Str (chop Str))
(if (assoc C Lst)
(con @ (cons C (cdr @)))
(push 'Lst (cons C)) ) )
(setq Lst (apply conc (flip (by length sort Lst))))
(let Res
(mapcar
'((C)
(prog1 (or (find <> Lst (circ C)) C)
(setq Lst (delete @ Lst)) ) )
Str )
(prinl Str " " Res " (" (cnt = Str Res) ")") ) ) )

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# Calculate best possible shuffle score for a given string
# (Split out into separate function so we can use it separately in our output)
function Get-BestScore ( [string]$String )
{
# Convert to array of characters, group identical characters,
# sort by frequecy, get size of first group
$MostRepeats = $String.ToCharArray() |
Group |
Sort Count -Descending |
Select -First 1 -ExpandProperty Count
# Return count of most repeated character minus all other characters (math simplified)
return [math]::Max( 0, 2 * $MostRepeats - $String.Length )
}
function Get-BestShuffle ( [string]$String )
{
# Convert to arrays of characters, one for comparison, one for manipulation
$S1 = $String.ToCharArray()
$S2 = $String.ToCharArray()
# Calculate best possible score as our goal
$BestScore = Get-BestScore $String
# Unshuffled string has score equal to number of characters
$Length = $String.Length
$Score = $Length
# While still striving for perfection...
While ( $Score -gt $BestScore )
{
# For each character
ForEach ( $i in 0..($Length-1) )
{
# If the shuffled character still matches the original character...
If ( $S1[$i] -eq $S2[$i] )
{
# Swap it with a random character
# (Random character $j may be the same as or may even be
# character $i. The minor impact on speed was traded for
# a simple solution to guarantee randomness.)
$j = Get-Random -Maximum $Length
$S2[$i], $S2[$j] = $S2[$j], $S2[$i]
}
}
# Count the number of indexes where the two arrays match
$Score = ( 0..($Length-1) ).Where({ $S1[$_] -eq $S2[$_] }).Count
}
# Put it back into a string
$Shuffle = ( [string[]]$S2 -join '' )
return $Shuffle
}

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ForEach ( $String in ( 'abracadabra', 'seesaw', 'elk', 'grrrrrr', 'up', 'a' ) )
{
$Shuffle = Get-BestShuffle $String
$Score = Get-BestScore $String
"$String, $Shuffle, ($Score)"
}

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:- dynamic score/2.
best_shuffle :-
maplist(best_shuffle, ["abracadabra", "eesaw", "elk", "grrrrrr",
"up", "a"]).
best_shuffle(Str) :-
retractall(score(_,_)),
length(Str, Len),
assert(score(Str, Len)),
calcule_min(Str, Len, Min),
repeat,
shuffle(Str, Shuffled),
maplist(comp, Str, Shuffled, Result),
sumlist(Result, V),
retract(score(Cur, VCur)),
( V < VCur -> assert(score(Shuffled, V)); assert(score(Cur, VCur))),
V = Min,
retract(score(Cur, VCur)),
writef('%s : %s (%d)\n', [Str, Cur, VCur]).
comp(C, C1, S):-
( C = C1 -> S = 1; S = 0).
% this code was written by P.Caboche and can be found here :
% http://pcaboche.developpez.com/article/prolog/listes/?page=page_3#Lshuffle
shuffle(List, Shuffled) :-
length(List, Len),
shuffle(Len, List, Shuffled).
shuffle(0, [], []) :- !.
shuffle(Len, List, [Elem|Tail]) :-
RandInd is random(Len),
nth0(RandInd, List, Elem),
select(Elem, List, Rest),
NewLen is Len - 1,
shuffle(NewLen, Rest, Tail).
% letters are sorted out then packed
% If a letter is more numerous than the rest
% the min is the difference between the quantity of this letter and
% the sum of the quantity of the other letters
calcule_min(Str, Len, Min) :-
msort(Str, SS),
packList(SS, Lst),
sort(Lst, Lst1),
last(Lst1, [N, _]),
( N * 2 > Len -> Min is 2 * N - Len; Min = 0).
% almost the same code as in "run_length" page
packList([],[]).
packList([X],[[1,X]]) :- !.
packList([X|Rest],[XRun|Packed]):-
run(X,Rest, XRun,RRest),
packList(RRest,Packed).
run(Var,[],[1,Var],[]).
run(Var,[Var|LRest],[N1, Var],RRest):-
run(Var,LRest,[N, Var],RRest),
N > 0,
N1 is N + 1.
run(Var,[Other|RRest], [1,Var],[Other|RRest]):-
dif(Var,Other).

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:- system:set_prolog_flag(double_quotes,codes) .
play(STRINGs)
:-
shuffle(STRINGs,SHUFFLEDs) ,
score(STRINGs,SHUFFLEDs,SCORE) ,
system:format('~s , ~s , (~10r)~n',[STRINGs,SHUFFLEDs,SCORE])
.
test
:-
play("abracadabra") ,
play("seesaw") ,
play("elk") ,
play("grrrrrr") ,
play("up") ,
play("a")
.
%! shuffle(Xs0,Ys) .
%
% The list `Ys` is an random permutation of the list `Xs0` .
% No assumption is made about the nature of each item in the list .
%
% The default seed for randomness provided by the system is truly random .
% Set the seed explicitly with `system:set_random(seed(SEED))` .
:- op(1,'xfy','shuffle_') .
shuffle(Xs0,Ys)
:-
(assign_randomness) shuffle_ (Xs0,Ys0) ,
(sort) shuffle_ (Ys0,Ys1) ,
(remove_randomness) shuffle_ (Ys1,Ys)
.
/*
1. assign an random number to each of the items in the list .
2. sort the list of items according to the random number assigned to each item .
3. remove the random number from each of the items in the list .
*/
(assign_randomness) shuffle_ ([],[]) :- ! .
(assign_randomness) shuffle_ ([X0|Xs0],[sortable(R,X0)|Rs])
:-
system:random(R) ,
(assign_randomness) shuffle_ (Xs0,Rs)
.
(sort) shuffle_ (Rs0,Ss)
:-
prolog:sort(Rs0,Ss)
.
(remove_randomness) shuffle_ ([],[]) :- ! .
(remove_randomness) shuffle_ ([sortable(_R0,X0)|Ss0],[X0|Xs])
:-
(remove_randomness) shuffle_ (Ss0,Xs)
.
%! score(Xs0,Ys0,SCORE) .
%
% `SCORE` is the count of positions in Ys0 that
% have the identical content as
% the content in the same position in Xs0 .
score([],[],0) :- ! .
score([X0|Xs0],[Y0|Ys0],SCORE)
:-
X0 = Y0 ,
! ,
score(Xs0,Ys0,SCORE0) ,
SCORE is SCORE0 + 1
.
score([_|Xs0],[_|Ys0],SCORE)
:-
! ,
score(Xs0,Ys0,SCORE)
.

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Structure charInfo
Char.s
List Position.i()
count.i ;number of occurrences of Char
EndStructure
Structure cycleInfo
Char.s
Position.i
EndStructure
Structure cycle
List cycle.cycleInfo()
EndStructure
Procedure.s shuffleWordLetters(word.s)
Protected i
Dim originalLetters.s(len(word) - 1)
For i = 1 To Len(word)
originalLetters(i - 1) = Mid(word, i, 1)
Next
Dim shuffledLetters.s(0)
CopyArray(originalLetters(), shuffledLetters())
;record original letters and their positions
Protected curChar.s
NewList letters.charInfo()
NewMap *wordInfo.charInfo()
For i = 0 To ArraySize(originalLetters())
curChar = originalLetters(i)
If FindMapElement(*wordInfo(), curChar)
AddElement(*wordInfo()\position())
*wordInfo()\position() = i
Else
*wordInfo(curChar) = AddElement(letters())
If *wordInfo()
*wordInfo()\Char = curChar
AddElement(*wordInfo()\position())
*wordInfo()\position() = i
EndIf
EndIf
Next
ForEach letters()
letters()\count = ListSize(letters()\Position())
Next
SortStructuredList(letters(), #PB_Sort_Ascending, OffsetOf(charInfo\Char), #PB_Sort_String) ;extra sort step, not strictly necessary
SortStructuredList(letters(), #PB_Sort_Descending, OffsetOf(charInfo\count), #PB_Sort_integer)
;construct letter cycles
FirstElement(letters())
Protected maxLetterCount = letters()\count
Dim letterCycles.cycle(maxLetterCount - 1)
Protected curCycleIndex
ForEach letters()
ForEach letters()\Position()
With letterCycles(curCycleIndex)
AddElement(\cycle())
\cycle()\Char = letters()\Char
\cycle()\Position = letters()\position()
EndWith
curCycleIndex = (curCycleIndex + 1) % maxLetterCount
Next
Next
;rotate letters in each cycle
Protected isFirst, prevChar.s, pos_1
For i = 0 To maxLetterCount - 1
With letterCycles(i)
isFirst = #True
ForEach \cycle()
If Not isFirst
shuffledLetters(\cycle()\Position) = prevChar
Else
pos_1 = \cycle()\Position
isFirst = #False
EndIf
prevChar = \cycle()\Char
Next
shuffledLetters(pos_1) = prevChar
EndWith
Next
;score and display shuffle
Protected shuffledWord.s, ignored
For i = 0 To ArraySize(shuffledLetters())
shuffledWord + shuffledLetters(i)
If shuffledLetters(i) = originalLetters(i)
ignored + 1
EndIf
Next
PrintN(word + ", " + shuffledWord + ", (" + Str(ignored) + ")")
ProcedureReturn shuffledWord
EndProcedure
If OpenConsole()
shuffleWordLetters("abracadabra")
shuffleWordLetters("seesaw")
shuffleWordLetters("elk")
shuffleWordLetters("grrrrrr")
shuffleWordLetters("up")
shuffleWordLetters("a")
Print(#CRLF$ + #CRLF$ + "Press ENTER to exit"): Input()
CloseConsole()
EndIf

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import random
def count(w1,wnew):
return sum(c1==c2 for c1,c2 in zip(w1, wnew))
def best_shuffle(w):
wnew = list(w)
n = len(w)
rangelists = (list(range(n)), list(range(n)))
for r in rangelists:
random.shuffle(r)
rangei, rangej = rangelists
for i in rangei:
for j in rangej:
if i != j and wnew[j] != wnew[i] and w[i] != wnew[j] and w[j] != wnew[i]:
wnew[j], wnew[i] = wnew[i], wnew[j]
break
wnew = ''.join(wnew)
return wnew, count(w, wnew)
if __name__ == '__main__':
test_words = ('tree abracadabra seesaw elk grrrrrr up a '
+ 'antidisestablishmentarianism hounddogs').split()
test_words += ['aardvarks are ant eaters', 'immediately', 'abba']
for w in test_words:
wnew, c = best_shuffle(w)
print("%29s, %-29s ,(%i)" % (w, wnew, c))

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#!/usr/bin/env python
def best_shuffle(s):
# Count the supply of characters.
from collections import defaultdict
count = defaultdict(int)
for c in s:
count[c] += 1
# Shuffle the characters.
r = []
for x in s:
# Find the best character to replace x.
best = None
rankb = -2
for c, rankc in count.items():
# Prefer characters with more supply.
# (Save characters with less supply.)
# Avoid identical characters.
if c == x: rankc = -1
if rankc > rankb:
best = c
rankb = rankc
# Add character to list. Remove it from supply.
r.append(best)
count[best] -= 1
if count[best] >= 0: del count[best]
# If the final letter became stuck (as "ababcd" became "bacabd",
# and the final "d" became stuck), then fix it.
i = len(s) - 1
if r[i] == s[i]:
for j in range(i):
if r[i] != s[j] and r[j] != s[i]:
r[i], r[j] = r[j], r[i]
break
# Convert list to string. PEP 8, "Style Guide for Python Code",
# suggests that ''.join() is faster than + when concatenating
# many strings. See http://www.python.org/dev/peps/pep-0008/
r = ''.join(r)
score = sum(x == y for x, y in zip(r, s))
return (r, score)
for s in "abracadabra", "seesaw", "elk", "grrrrrr", "up", "a":
shuffled, score = best_shuffle(s)
print("%s, %s, (%d)" % (s, shuffled, score))

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/*REXX program determines and displays the best shuffle for any list of words or tokens.*/
parse arg $ /*get some words from the command line.*/
if $='' then $= 'tree abracadabra seesaw elk grrrrrr up a' /*use the defaults?*/
w=0; #=words($) /* [↑] finds the widest word in $ list*/
do i=1 for #; @.i=word($,i); w=max(w, length(@.i) ); end /*i*/
w= w+9 /*add 9 blanks for output indentation. */
do n=1 for #; new= bestShuffle(@.n) /*process the examples in the @ array. */
same=0; do m=1 for length(@.n)
same=same + (substr(@.n, m, 1) == substr(new, m, 1) )
end /*m*/
say ' original:' left(@.n, w) 'new:' left(new,w) 'score:' same
end /*n*/
exit /*stick a fork in it, we're all done. */
/*──────────────────────────────────────────────────────────────────────────────────────*/
bestShuffle: procedure; parse arg x 1 ox; L=length(x); if L<3 then return reverse(x)
/*[↑] fast track short strs*/
do j=1 for L-1; parse var x =(j) a +1 b +1 /*get A,B at Jth & J+1 pos.*/
if a\==b then iterate /*ignore any replicates. */
c= verify(x,a); if c==0 then iterate /* " " " */
x= overlay( substr(x,c,1), overlay(a,x,c), j) /*swap the x,c characters*/
rx= reverse(x) /*obtain the reverse of X. */
y= substr(rx, verify(rx, a), 1) /*get 2nd replicated char. */
x= overlay(y, overlay(a,x, lastpos(y,x)),j+1) /*fast swap of 2 characters*/
end /*j*/
do k=1 for L; a=substr(x, k, 1) /*handle a possible rep*/
if a\==substr(ox, k, 1) then iterate /*skip non-replications*/
if k==L then x= left(x, k-2)a || substr(x, k-1,1) /*last case*/
else x= left(x, k-1)substr(x, k+1, 1)a || substr(x,k+2)
end /*k*/
return x

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#lang racket
(define (best-shuffle s)
(define len (string-length s))
(define @ string-ref)
(define r (list->string (shuffle (string->list s))))
(for* ([i (in-range len)] [j (in-range len)])
(when (not (or (= i j) (eq? (@ s i) (@ r j)) (eq? (@ s j) (@ r i))))
(define t (@ r i))
(string-set! r i (@ r j))
(string-set! r j t)))
r)
(define (count-same s1 s2)
(for/sum ([c1 (in-string s1)] [c2 (in-string s2)])
(if (eq? c1 c2) 1 0)))
(for ([s (in-list '("abracadabra" "seesaw" "elk" "grrrrrr" "up" "a"))])
(define sh (best-shuffle s))
(printf " ~a, ~a, (~a)\n" s sh (count-same s sh)))

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sub best-shuffle(Str $orig) {
my @s = $orig.comb;
my @t = @s.pick(*);
for flat ^@s X ^@s -> \i,\j {
if i != j and @t[i] ne @s[j] and @t[j] ne @s[i] {
@t[i,j] = @t[j,i] and last
}
}
my $count = 0;
for @t.kv -> $k,$v {
++$count if $v eq @s[$k]
}
@t.join, $count;
}
printf "%s, %s, (%d)\n", $_, best-shuffle $_ for <abracadabra seesaw elk grrrrrr up a>;

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import Prelude;
public tuple[str, str, int] bestShuffle(str s){
characters = chars(s);
ranking = {<p, countSame(p, characters)> | p <- permutations(characters)};
best = {<s, stringChars(p), n> | <p, n> <- ranking, n == min(range(ranking))};
return takeOneFrom(best)[0];
}
public int countSame(list[int] permutations, list[int] characters){
return (0 | it + 1 | n <- index(characters), permutations[n] == characters[n]);
}

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# Project : Best shuffle
test = ["abracadabra", "seesaw", "elk", "grrrrrr", "up", "a"]
for n = 1 to len(test)
bs = bestshuffle(test[n])
count = 0
for p = 1 to len(test[n])
if substr(test[n],p,1) = substr(bs,p,1)
count = count + 1
ok
next
see test[n] + " -> " + bs + " " + count + nl
next
func bestshuffle(s1)
s2 = s1
for i = 1 to len(s2)
for j = 1 to len(s2)
if (i != j) and (s2[i] != s1[j]) and (s2[j] != s1[i])
if j < i
i1 = j
j1 = i
else
i1 = i
j1 = j
ok
s2 = left(s2,i1-1) + substr(s2,j1,1) + substr(s2,i1+1,(j1-i1)-1) + substr(s2,i1,1) + substr(s2,j1+1)
ok
next
next
bestshuffle = s2
return bestshuffle

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def best_shuffle(s)
# Fill _pos_ with positions in the order
# that we want to fill them.
pos = []
# g["a"] = [2, 4] implies that s[2] == s[4] == "a"
g = s.length.times.group_by { |i| s[i] }
# k sorts letters from low to high count
k = g.sort_by { |k, v| v.length }.map { |k, v| k }
until g.empty?
k.each do |letter|
g[letter] or next
pos.push(g[letter].pop)
g[letter].empty? and g.delete letter
end
end
# Now fill in _new_ with _letters_ according to each position
# in _pos_, but skip ahead in _letters_ if we can avoid
# matching characters that way.
letters = s.dup
new = "?" * s.length
until letters.empty?
i, p = 0, pos.pop
i += 1 while letters[i] == s[p] and i < (letters.length - 1)
new[p] = letters.slice! i
end
score = new.chars.zip(s.chars).count { |c, d| c == d }
[new, score]
end
%w(abracadabra seesaw elk grrrrrr up a).each do |word|
puts "%s, %s, (%d)" % [word, *best_shuffle(word)]
end

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list$ = "abracadabra seesaw pop grrrrrr up a"
while word$(list$,ii + 1," ") <> ""
ii = ii + 1
w$ = word$(list$,ii," ")
bs$ = bestShuffle$(w$)
count = 0
for i = 1 to len(w$)
if mid$(w$,i,1) = mid$(bs$,i,1) then count = count + 1
next i
print w$;" ";bs$;" ";count
wend
function bestShuffle$(s1$)
s2$ = s1$
for i = 1 to len(s2$)
for j = 1 to len(s2$)
if (i <> j) and (mid$(s2$,i,1) <> mid$(s1$,j,1)) and (mid$(s2$,j,1) <> mid$(s1$,i,1)) then
if j < i then i1 = j:j1 = i else i1 = i:j1 = j
s2$ = left$(s2$,i1-1) + mid$(s2$,j1,1) + mid$(s2$,i1+1,(j1-i1)-1) + mid$(s2$,i1,1) + mid$(s2$,j1+1)
end if
next j
next i
bestShuffle$ = s2$
end function

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extern crate permutohedron;
extern crate rand;
use std::cmp::{min, Ordering};
use std::env;
use rand::{thread_rng, Rng};
use std::str;
const WORDS: &'static [&'static str] = &["abracadabra", "seesaw", "elk", "grrrrrr", "up", "a"];
#[derive(Eq)]
struct Solution {
original: String,
shuffled: String,
score: usize,
}
// Ordering trait implementations are only needed for the permutations method
impl PartialOrd for Solution {
fn partial_cmp(&self, other: &Solution) -> Option<Ordering> {
match (self.score, other.score) {
(s, o) if s < o => Some(Ordering::Less),
(s, o) if s > o => Some(Ordering::Greater),
(s, o) if s == o => Some(Ordering::Equal),
_ => None,
}
}
}
impl PartialEq for Solution {
fn eq(&self, other: &Solution) -> bool {
match (self.score, other.score) {
(s, o) if s == o => true,
_ => false,
}
}
}
impl Ord for Solution {
fn cmp(&self, other: &Solution) -> Ordering {
match (self.score, other.score) {
(s, o) if s < o => Ordering::Less,
(s, o) if s > o => Ordering::Greater,
_ => Ordering::Equal,
}
}
}
fn _help() {
println!("Usage: best_shuffle <word1> <word2> ...");
}
fn main() {
let args: Vec<String> = env::args().collect();
let mut words: Vec<String> = vec![];
match args.len() {
1 => {
for w in WORDS.iter() {
words.push(String::from(*w));
}
}
_ => {
for w in args.split_at(1).1 {
words.push(w.clone());
}
}
}
let solutions = words.iter().map(|w| best_shuffle(w)).collect::<Vec<_>>();
for s in solutions {
println!("{}, {}, ({})", s.original, s.shuffled, s.score);
}
}
// Implementation iterating over all permutations
fn _best_shuffle_perm(w: &String) -> Solution {
let mut soln = Solution {
original: w.clone(),
shuffled: w.clone(),
score: w.len(),
};
let w_bytes: Vec<u8> = w.clone().into_bytes();
let mut permutocopy = w_bytes.clone();
let mut permutations = permutohedron::Heap::new(&mut permutocopy);
while let Some(p) = permutations.next_permutation() {
let hamm = hamming(&w_bytes, p);
soln = min(soln,
Solution {
original: w.clone(),
shuffled: String::from(str::from_utf8(p).unwrap()),
score: hamm,
});
// Accept the solution if score 0 found
if hamm == 0 {
break;
}
}
soln
}
// Quadratic implementation
fn best_shuffle(w: &String) -> Solution {
let w_bytes: Vec<u8> = w.clone().into_bytes();
let mut shuffled_bytes: Vec<u8> = w.clone().into_bytes();
// Shuffle once
let sh: &mut [u8] = shuffled_bytes.as_mut_slice();
thread_rng().shuffle(sh);
// Swap wherever it doesn't decrease the score
for i in 0..sh.len() {
for j in 0..sh.len() {
if (i == j) | (sh[i] == w_bytes[j]) | (sh[j] == w_bytes[i]) | (sh[i] == sh[j]) {
continue;
}
sh.swap(i, j);
break;
}
}
let res = String::from(str::from_utf8(sh).unwrap());
let res_bytes: Vec<u8> = res.clone().into_bytes();
Solution {
original: w.clone(),
shuffled: res,
score: hamming(&w_bytes, &res_bytes),
}
}
fn hamming(w0: &Vec<u8>, w1: &Vec<u8>) -> usize {
w0.iter().zip(w1.iter()).filter(|z| z.0 == z.1).count()
}

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def coincidients(s1: Seq[Char], s2: Seq[Char]): Int = (s1, s2).zipped.count(p => (p._1 == p._2))
def freqMap(s1: List[Char]) = s1.groupBy(_.toChar).mapValues(_.size)
def estimate(s1: List[Char]): Int = if (s1 == Nil) 0 else List(0, freqMap(s1).maxBy(_._2)._2 - (s1.size / 2)).max
def bestShuffle(s: String): Pair[String, Int] = {
if (s == "") return ("", 0) else {}
val charList = s.toList
val estim = estimate(charList)
// purely functional polynomial solution
def doStep(accu: List[Pair[Int, Int]], sourceFreqMap: Map[Int, Int], targetFreqMap: Map[Int, Int], stepsLeft: Int): List[Pair[Int, Int]] = {
if (stepsLeft == 0) accu else {
val srcChoices = sourceFreqMap.groupBy(_._2).minBy(_._1)._2
val src = srcChoices.toList.apply(Random.nextInt(srcChoices.size))._1
val tgtChoices = targetFreqMap.map(p => if (charList(p._1) != charList(src)) (p._1, p._2) else (p._1, Int.MaxValue / 2)).groupBy(_._2).minBy(_._1)._2
val tgt = tgtChoices.toList.apply(Random.nextInt(tgtChoices.size))._1
doStep((src, tgt) :: accu,
sourceFreqMap.filterKeys(_ != src).map(p => if (charList(p._1) != charList(tgt)) (p._1, p._2 - 1) else (p._1, p._2)),
targetFreqMap.filterKeys(_ != tgt).map(p => if (charList(p._1) != charList(src)) (p._1, p._2 - 1) else (p._1, p._2)),
stepsLeft - 1)
}
}
val leftFreqMap: Map[Int, Int] = charList.zipWithIndex.map(p => (p._2, p._1)).toMap.mapValues(x => freqMap(charList).mapValues(charList.size - _)(x))
val substs = doStep(List(), leftFreqMap, leftFreqMap, charList.size)
val res = substs.sortBy(_._1).map(p => charList(p._2))
(res.mkString, coincidients(charList, res))
// exponential solution (inefficient)
//Random.shuffle(charList).permutations.find(coincidients(charList, _) <= estim)
}

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@ -0,0 +1,10 @@
def main(args: Array[String]): Unit = {
println(bestShuffle("abracadabra"));
println(bestShuffle("seesaw"));
println(bestShuffle("elk"));
println(bestShuffle("grrrrrr"));
println(bestShuffle("up"));
println(bestShuffle("a"));
BestShuffleSpecification.check
}

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@ -0,0 +1,18 @@
object BestShuffleSpecification extends Properties("BestShuffle") {
property("size") = forAll { (src: String) =>
val s = Main.bestShuffle(src)
s._1.size == src.size
}
property("freq") = forAll { (src: String) =>
val s = Main.bestShuffle(src)
Main.freqMap(s._1.toList) == Main.freqMap(src.toList)
}
property("estimate") = forAll { (src: String) =>
val s = Main.bestShuffle(src)
Main.estimate(src.toList) == s._2
}
}

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(define count
(lambda (str1 str2)
(let ((len (string-length str1)))
(let loop ((index 0)
(result 0))
(if (= index len)
result
(loop (+ index 1)
(if (eq? (string-ref str1 index)
(string-ref str2 index))
(+ result 1)
result)))))))
(define swap
(lambda (str index1 index2)
(let ((mutable (string-copy str))
(char1 (string-ref str index1))
(char2 (string-ref str index2)))
(string-set! mutable index1 char2)
(string-set! mutable index2 char1)
mutable)))
(define shift
(lambda (str)
(string-append (substring str 1 (string-length str))
(substring str 0 1))))
(define shuffle
(lambda (str)
(let* ((mutable (shift str))
(len (string-length mutable))
(max-index (- len 1)))
(let outer ((index1 0)
(best mutable)
(best-count (count str mutable)))
(if (or (< max-index index1)
(= best-count 0))
best
(let inner ((index2 (+ index1 1))
(best best)
(best-count best-count))
(if (= len index2)
(outer (+ index1 1)
best
best-count)
(let* ((next-mutable (swap best index1 index2))
(next-count (count str next-mutable)))
(if (= 0 next-count)
next-mutable
(if (< next-count best-count)
(inner (+ index2 1)
next-mutable
next-count)
(inner (+ index2 1)
best
best-count)))))))))))
(for-each
(lambda (str)
(let ((shuffled (shuffle str)))
(display
(string-append str " " shuffled " ("
(number->string (count str shuffled)) ")\n"))))
'("abracadabra" "seesaw" "elk" "grrrrrr" "up" "a"))

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$ include "seed7_05.s7i";
const func string: bestShuffle (in string: stri) is func
result
var string: shuffled is "";
local
var char: tmp is ' ';
var integer: i is 0;
var integer: j is 0;
begin
shuffled := stri;
for key i range shuffled do
for key j range shuffled do
if i <> j and stri[i] <> shuffled[j] and stri[j] <> shuffled[i] then
tmp := shuffled[i];
shuffled @:= [i] shuffled[j];
shuffled @:= [j] tmp;
end if;
end for;
end for;
end func;
const proc: main is func
local
const array string: testData is [] ("abracadabra", "seesaw", "elk", "grrrrrr", "up", "a");
var string: original is "";
var string: shuffled is "";
var integer: j is 0;
var integer: score is 0;
begin
for original range testData do
shuffled := bestShuffle(original);
score := 0;
for key j range shuffled do
if original[j] = shuffled[j] then
incr(score);
end if;
end for;
writeln(original <& ", " <& shuffled <& ", (" <& score <& ")");
end for;
end func;

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func best_shuffle(String orig) -> (String, Number) {
var s = orig.chars
var t = s.shuffle
for i (^s) {
for j (^s) {
if (i!=j && t[i]!=s[j] && t[j]!=s[i]) {
t[i, j] = t[j, i]
break
}
}
}
(t.join, s ~Z== t -> count(true))
}
for word (<abracadabra seesaw elk grrrrrr up a>) {
var (sword, score) = best_shuffle(word)
"%-12s %12s: %d\n".printf(word, sword, score)
}

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#!/usr/local/bin/spar
pragma annotate( summary, "best_shuffle" )
@( description, "Shuffle the characters of a string in such a" )
@( description, "way that as many of the character values are" )
@( description, "in a different position as possible. Print" )
@( description, "the result as follows: original string," )
@( description, "shuffled string, (score). The score gives the" )
@( description, "number of positions whose character value" )
@( description, "did not change." )
@( author, "Ken O. Burtch" )
@( see_also, "http://rosettacode.org/wiki/Best_shuffle" );
pragma license( unrestricted );
pragma restriction( no_external_commands );
procedure best_shuffle is
-- Shuffle the characters in a string. Do not swap identical characters
function shuffle( s : string ) return string is
t : string := s;
tmp : character;
begin
for i in 1..strings.length(s) loop
for j in 1..strings.length(s) loop
if i /= j and strings.element( s, i ) /= strings.element( t, j ) and strings.element( s, j ) /= strings.element( t, i ) then
tmp := strings.element( t, i );
t := strings.overwrite( t, i, strings.element( t, j ) & "" );
t := strings.overwrite( t, j, tmp & "" );
end if;
end loop;
end loop;
return t;
end shuffle;
stop : boolean := false;
begin
while not stop loop
declare
original : constant string := get_line;
shuffled : constant string := shuffle( original );
score : natural := 0;
begin
if original = "" then
stop;
end if;
-- determine the score for the shuffled string
for i in 1..strings.length( original ) loop
if strings.element( original, i ) = strings.element( shuffled, i ) then
score := @+1;
end if;
end loop;
put_line( original & ", " & shuffled & ", (" &
strings.image( score ) & " )" );
end;
end loop;
end best_shuffle;

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package require Tcl 8.5
package require struct::list
# Simple metric function; assumes non-empty lists
proc count {l1 l2} {
foreach a $l1 b $l2 {incr total [string equal $a $b]}
return $total
}
# Find the best shuffling of the string
proc bestshuffle {str} {
set origin [split $str ""]
set best $origin
set score [llength $origin]
struct::list foreachperm p $origin {
if {$score > [set score [tcl::mathfunc::min $score [count $origin $p]]]} {
set best $p
}
}
set best [join $best ""]
return "$str,$best,($score)"
}

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foreach sample {abracadabra seesaw elk grrrrrr up a} {
puts [bestshuffle $sample]
}

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#import std
#import nat
words = <'abracadabra','seesaw','elk','grrrrrr','up','a'>
shuffle = num; ^H/(*@K24) ^H\~&lS @rK2lSS *+ ^arPfarhPlzPClyPCrtPXPRalPqzyCipSLK24\~&L leql$^NS
#show+
main = ~&LS <.~&l,@r :/` ,' ('--+ --')'+ ~&h+ %nP+ length@plrEF>^(~&,shuffle)* words

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@ -0,0 +1 @@
shuffle = ~&r+ length@plrEZF$^^D/~& permutations

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Option Explicit
Sub Main_Best_shuffle()
Dim S() As Long, W, b As Byte, Anagram$, Count&, myB As Boolean, Limit As Byte, i As Integer
W = Array("a", "abracadabra", "seesaw", "elk", "grrrrrr", "up", "qwerty", "tttt")
For b = 0 To UBound(W)
Count = 0
Select Case Len(W(b))
Case 1: Limit = 1
Case Else
i = NbLettersDiff(W(b))
If i >= Len(W(b)) \ 2 Then
Limit = 0
ElseIf i = 1 Then
Limit = Len(W(b))
Else
Limit = Len(W(b)) - i
End If
End Select
RePlay:
Do
S() = ShuffleIntegers(Len(W(b)))
myB = GoodShuffle(S, Limit)
Loop While Not myB
Anagram = ShuffleWord(CStr(W(b)), S)
Count = Nb(W(b), Anagram)
If Count > Limit Then GoTo RePlay
Debug.Print W(b) & " ==> " & Anagram & " (Score : " & Count & ")"
Next
End Sub
Function ShuffleIntegers(l As Long) As Long()
Dim i As Integer, ou As Integer, temp() As Long
Dim C As New Collection
ReDim temp(l - 1)
If l = 1 Then
temp(0) = 0
ElseIf l = 2 Then
temp(0) = 1: temp(1) = 0
Else
Randomize
Do
ou = Int(Rnd * l)
On Error Resume Next
C.Add CStr(ou), CStr(ou)
If Err <> 0 Then
On Error GoTo 0
Else
temp(ou) = i
i = i + 1
End If
Loop While C.Count <> l
End If
ShuffleIntegers = temp
End Function
Function GoodShuffle(t() As Long, Lim As Byte) As Boolean
Dim i&, C&
For i = LBound(t) To UBound(t)
If t(i) = i Then C = C + 1
Next i
GoodShuffle = (C <= Lim)
End Function
Function ShuffleWord(W$, S() As Long) As String
Dim i&, temp, strR$
temp = Split(StrConv(W, vbUnicode), Chr(0))
For i = 0 To UBound(S)
strR = strR & temp(S(i))
Next i
ShuffleWord = strR
End Function
Function Nb(W, A) As Integer
Dim i As Integer, l As Integer
For i = 1 To Len(W)
If Mid(W, i, 1) = Mid(A, i, 1) Then l = l + 1
Next i
Nb = l
End Function
Function NbLettersDiff(W) As Integer
Dim i&, C As New Collection
For i = 1 To Len(W)
On Error Resume Next
C.Add Mid(W, i, 1), Mid(W, i, 1)
Next i
NbLettersDiff = C.Count
End Function

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'Best Shuffle Task
'VBScript Implementation
Function bestshuffle(s)
Dim arr:Redim arr(Len(s)-1)
'The Following Does the toCharArray() Functionality
For i = 0 To Len(s)-1
arr(i) = Mid(s, i + 1, 1)
Next
arr = shuffler(arr) 'Make this line a comment for deterministic solution
For i = 0 To UBound(arr):Do
If arr(i) <> Mid(s, i + 1, 1) Then Exit Do
For j = 0 To UBound(arr)
If arr(i) <> arr(j) And arr(i) <> Mid(s, j + 1, 1) And arr(j) <> Mid(s, i + 1, 1) Then
tmp = arr(i)
arr(i) = arr(j)
arr(j) = tmp
End If
Next
Loop While False:Next
shuffled_word = Join(arr,"")
'This section is the scorer
score = 0
For k = 1 To Len(s)
If Mid(s,k,1) = Mid(shuffled_word,k,1) Then
score = score + 1
End If
Next
bestshuffle = shuffled_word & ",(" & score & ")"
End Function
Function shuffler(array)
Set rand = CreateObject("System.Random")
For i = UBound(array) to 0 Step -1
r = rand.next_2(0, i + 1)
tmp = array(i)
array(i) = array(r)
array(r) = tmp
Next
shuffler = array
End Function
'Testing the function
word_list = Array("abracadabra","seesaw","elk","grrrrrr","up","a")
For Each word In word_list
WScript.StdOut.WriteLine word & "," & bestshuffle(word)
Next

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import "random" for Random
class BestShuffle {
static shuffle_(ca) {
var rand = Random.new()
var i = ca.count - 1
while (i >= 1) {
var r = rand.int(i + 1)
var tmp = ca[i]
ca[i] = ca[r]
ca[r] = tmp
i = i - 1
}
}
static count_(ca, s1) {
var count = 0
for (i in 0...ca.count) if (s1[i] == ca[i]) count = count + 1
return count
}
static invoke(s1) {
var s2 = s1.toList
shuffle_(s2)
for (i in 0...s2.count) {
if (s2[i] == s1[i]) {
for (j in 0...s2.count) {
if (s2[i] != s2[j] && s2[i] != s1[j] && s2[j] != s1[i]) {
var tmp = s2[i]
s2[i] = s2[j]
s2[j] = tmp
break
}
}
}
}
return s1 + ", " + s2.join() + ", (" + "%(count_(s2, s1))" + ")"
}
}
var words = ["tree", "abracadabra", "seesaw", "elk", "grrrrrr", "up", "a"]
words.each { |w| System.print(BestShuffle.invoke(w)) }

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