SEND + MORE = MONEY: Difference between revisions
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=={{header|ALGOL 68}}==
{{Trans|Julia}}
This task <i>can</i> be solved
<br>
Uses the observations of the Julia sample (unsuprisingly as this is a translation of the Julia sample).
Line 50:
<pre>
9567 + 1085 = 10652
</pre>
=={{header|BASIC}}==
Rosetta Code problem: https://rosettacode.org/wiki/SEND_%2B_MORE_%3D_MONEY
by Jjuanhdez, 02/2023
==={{header|BASIC256}}===
{{trans|FreeBASIC}}
{{works with|Run BASIC}}
{{works with|Just BASIC}}
{{works with|Liberty BASIC}}
<syntaxhighlight lang="freebasic">m = 1
for s = 8 to 9
for e = 0 to 9
if e <> m and e <> s then
for n = 0 to 9
if n <> m and n <> s and n <> e then
for d = 0 to 9
if d <> m and d <> s and d <> e and d <> n then
for o = 0 to 9
if o <> m and o <> s and o <> e and o <> n and o <> d then
for r = 0 to 9
if r <> m and r <> s and r <> e and r <> n and r <> d and r <> o then
for y = 0 to 9
if y <> m and y <> s and y <> e and y <> n and y <> d and y <> o then
if ((1000*(s+m)) + (100*(e+o)) + (10*(n+r)) + (d+e)) = ((10000* m) + (1000*o) + (100*n) + (10*e) + y) then
print s;e;n;d; " + "; m;o;r;e; " = "; m;o;n;e;y
end if
end if
next y
end if
next r
end if
next o
end if
next d
end if
next n
end if
next e
next s</syntaxhighlight>
{{out}}
<pre>Same as FreeBASIC entry.</pre>
==={{header|Gambas}}===
{{trans|FreeBASIC}}
<syntaxhighlight lang="gambas">Public Sub Main()
Dim m, s, e, n, d, o, r, y As Byte
m = 1
For s = 8 To 9
For e = 0 To 9
If e <> m And e <> s Then
For n = 0 To 9
If n <> m And n <> s And n <> e Then
For d = 0 To 9
If d <> m And d <> s And d <> e And d <> n Then
For o = 0 To 9
If o <> m And o <> s And o <> e And o <> n And o <> d Then
For r = 0 To 9
If r <> m And r <> s And r <> e And r <> n And r <> d And r <> o Then
For y = 0 To 9
If y <> m And y <> s And y <> e And y <> n And y <> d And y <> o Then
If ((1000*(s+m)) + (100*(e+o)) + (10*(n+r)) + (d+e)) = ((10000* m) + (1000*o) + (100*n) + (10*e) + y) Then
Print s & e & n & d & " + " & m & o & r & e & " = " & m & o & n & e & y
End If
End If
Next
End If
Next
End If
Next
End If
Next
End If
Next
End If
Next
Next
End</syntaxhighlight>
{{out}}
<pre>Same as FreeBASIC entry.</pre>
==={{header|Run BASIC}}===
{{works with|Just BASIC}}
{{works with|Liberty BASIC}}
<syntaxhighlight lang="lb"></syntaxhighlight>
==={{header|PureBasic}}===
<syntaxhighlight lang="PureBasic">OpenConsole()
m.i = 1
For s.i = 8 To 9
For e.i = 0 To 9
If e <> m And e <> s
For n.i = 0 To 9
If n <> m And n <> s And n <> e
For d.i = 0 To 9
If d <> m And d <> s And d <> e And d <> n
For o.i = 0 To 9
If o <> m And o <> s And o <> e And o <> n And o <> d
For r.i = 0 To 9
If r <> m And r <> s And r <> e And r <> n And r <> d And r <> o
For y.i = 0 To 9
If y <> m And y <> s And y <> e And y <> n And y <> d And y <> o
If ((1000*(s+m))+(100*(e+o))+(10*(n+r))+(d+e)) = ((10000*m)+(1000*o)+(100*n)+(10*e)+y)
PrintN(Str(s)+Str(e)+Str(n)+Str(d)+" + "+Str(m)+Str(o)+Str(r)+Str(e)+" = "+Str(m)+Str(o)+Str(n)+Str(e)+Str(y))
EndIf
EndIf
Next y
EndIf
Next r
EndIf
Next o
EndIf
Next d
EndIf
Next n
EndIf
Next e
Next s
CloseConsole()</syntaxhighlight>
{{out}}
<pre>Same as FreeBASIC entry.</pre>
==={{header|True BASIC}}===
{{works with|QBasic|1.1}}
<syntaxhighlight lang="qbasic">LET m = 1
FOR s = 8 TO 9
FOR e = 0 TO 9
IF e <> m AND e <> s THEN
FOR n = 0 TO 9
IF n <> m AND n <> s AND n <> e THEN
FOR d = 0 TO 9
IF d <> m AND d <> s AND d <> e AND d <> n THEN
FOR o = 0 TO 9
IF o <> m AND o <> s AND o <> e AND o <> n AND o <> d THEN
FOR r = 0 TO 9
IF r <> m AND r <> s AND r <> e AND r <> n AND r <> d AND r <> o THEN
FOR y = 0 TO 9
IF y <> m AND y <> s AND y <> e AND y <> n AND y <> d AND y <> o THEN
IF ((1000*(s+m))+(100*(e+o))+(10*(n+r))+(d+e)) = ((10000*m)+(1000*o)+(100*n)+(10*e)+y) THEN
PRINT STR$(s); STR$(e); STR$(n); STR$(d); " + ";
PRINT STR$(m); STR$(o); STR$(r); STR$(e); " = ";
PRINT STR$(m); STR$(o); STR$(n); STR$(e); STR$(y)
END IF
END IF
NEXT y
END IF
NEXT r
END IF
NEXT o
END IF
NEXT d
END IF
NEXT n
END IF
NEXT e
NEXT s
END</syntaxhighlight>
{{out}}
<pre>Same as FreeBASIC entry.</pre>
==={{header|Yabasic}}===
{{trans|FreeBASIC}}
<syntaxhighlight lang="yabasic">m = 1
for s = 8 to 9
for e = 0 to 9
if e <> m and e <> s then
for n = 0 to 9
if n <> m and n <> s and n <> e then
for d = 0 to 9
if d <> m and d <> s and d <> e and d <> n then
for o = 0 to 9
if o <> m and o <> s and o <> e and o <> n and o <> d then
for r = 0 to 9
if r <> m and r <> s and r <> e and r <> n and r <> d and r <> o then
for y = 0 to 9
if y <> m and y <> s and y <> e and y <> n and y <> d and y <> o then
if ((1000*(s+m)) + (100*(e+o)) + (10*(n+r)) + (d+e)) = ((10000* m) + (1000*o) + (100*n) + (10*e) + y) ? str$(s), str$(e), str$(n), str$(d), " + ", str$(m), str$(o), str$(r), str$(e), " = ", str$(m), str$(o), str$(n), str$(e), str$(y)
fi
next y
fi
next r
fi
next o
fi
next d
fi
next n
fi
next e
next s
end</syntaxhighlight>
{{out}}
<pre>Same as FreeBASIC entry.</pre>
=={{header|C}}==
{{trans|Julia}}
<syntaxhighlight lang="c">#include <stdio.h>
int main() {
int m = 1, s, e, n, d, o, r, y, sum1, sum2;
const char *f = "%d%d%d%d + %d%d%d%d = %d%d%d%d%d\n";
for (s = 8; s < 10; ++s) {
for (e = 0; e < 10; ++e) {
if (e == m || e == s) continue;
for (n = 0; n < 10; ++n) {
if (n == m || n == s || n == e) continue;
for (d = 0; d < 10; ++d) {
if (d == m || d == s || d == e || d == n) continue;
for (o = 0; o < 10; ++o) {
if (o == m || o == s || o == e || o == n || o == d) continue;
for (r = 0; r < 10; ++r) {
if (r == m || r == s || r == e || r == n || r == d || r == o) continue;
for (y = 0; y < 10; ++y) {
if (y == m || y == s || y == e || y == n || y == d || y == o) continue;
sum1 = 1000*s + 100*e + 10*n + d + 1000*m + 100*o + 10*r + e;
sum2 = 10000*m + 1000*o + 100*n + 10*e + y;
if (sum1 == sum2) {
printf(f, s, e, n, d, m, o, r, e, m, o, n, e, y);
}
}
}
}
}
}
}
}
return 0;
}</syntaxhighlight>
{{out}}
<pre>
9567 + 1085 = 10652
</pre>
=={{header|FreeBASIC}}==
{{Trans|Julia}}
<syntaxhighlight lang="freebasic">Dim As Byte m = 1, s, e, n, d, o, r, y
For s = 8 To 9
For e = 0 To 9
If e <> m And e <> s Then
For n = 0 To 9
If n <> m And n <> s And n <> e Then
For d = 0 To 9
If d <> m And d <> s And d <> e And d <> n Then
For o = 0 To 9
If o <> m And o <> s And o <> e And o <> n And o <> d Then
For r = 0 To 9
If r <> m And r <> s And r <> e And r <> n And r <> d And r <> o Then
For y = 0 To 9
If y <> m And y <> s And y <> e And y <> n And y <> d And y <> o Then
If ((1000*(s+m)) + (100*(e+o)) + (10*(n+r)) + (d+e)) = _
((10000* m) + (1000*o) + (100*n) + (10*e) + y) Then
Print s & e & n & d & " + " & _
m & o & r & e & " = " & m & o & n & e & y
End If
End If
Next y
End If
Next r
End If
Next o
End If
Next d
End If
Next n
End If
Next e
Next s
Sleep</syntaxhighlight>
{{out}}
<pre>9567 + 1085 = 10652</pre>
=={{header|Go}}==
{{trans|Wren}}
<syntaxhighlight lang="go">package main
import (
"fmt"
"time"
)
func contains(a []int, v int) bool {
for i := 0; i < len(a); i++ {
if a[i] == v {
return true
}
}
return false
}
func main() {
start := time.Now()
var sends [][4]int
var ors [][2]int
m := 1
digits := []int{0, 2, 3, 4, 5, 6, 7, 8, 9}
for s := 8; s <= 9; s++ {
for _, e := range digits {
if e == s {
continue
}
for _, n := range digits {
if n == s || n == e {
continue
}
for _, d := range digits {
if d == s || d == e || d == n {
continue
}
sends = append(sends, [4]int{s, e, n, d})
}
}
}
}
for _, o := range digits {
for _, r := range digits {
if r != o {
ors = append(ors, [2]int{o, r})
}
}
}
fmt.Println("Solution(s):")
for _, send := range sends {
SEND := 1000*send[0] + 100*send[1] + 10*send[2] + send[3]
for _, or := range ors {
send2 := send[:]
or2 := or[:]
if contains(send2, or[0]) || contains(send2, or[1]) {
continue
}
MORE := 1000*m + 100*or[0] + 10*or[1] + send[1]
for _, y := range digits {
if contains(send2, y) || contains(or2, y) {
continue
}
MONEY := 10000*m + 1000*or[0] + 100*send[2] + 10*send[1] + y
if SEND+MORE == MONEY {
fmt.Printf("%d + %d = %d\n", SEND, MORE, MONEY)
}
}
}
}
fmt.Printf("\nTook %s.\n", time.Since(start))
}</syntaxhighlight>
{{out}}
<pre>
Solution(s):
9567 + 1085 = 10652
Took 1.149804ms.
</pre>
=={{header|J}}==
'''Tacit Solution'''
<syntaxhighlight lang="j">SEND=. 10 #. 0 1 2 3&{
MORE=. 10 #. 4 5 6 1&{
MONEY=. 10 #. 4 5 2 1 7&{
M=. 4&{
entry=. 0&{::
try=. 1&{::
sample=. (10 ?~ 8:) ; 1 + try NB. counting tries to avoid a premature convergence
good=. (not=. -.) (o=.@:) (0 = M) (and=. *.) (SEND + MORE) = MONEY
answer=. (": o SEND , ' + ' , ": o MORE , ' = ' , ": o MONEY) o entry
tries=. ', random tries ' , ": o try
while=. ^: (^:_)
solve=. (answer , tries) o (sample while (not o good o entry)) o ( 0 ;~ i.) o 8: f.</syntaxhighlight>
Example use:
<syntaxhighlight lang="j"> solve ''
9567 + 1085 = 10652, random tries 248241
solve ''
9567 + 1085 = 10652, random tries 246504
solve ''
9567 + 1085 = 10652, random tries 3291556</syntaxhighlight>
The code is tacit and fixed (in other words, it is point-free):
<syntaxhighlight lang="j"> _80 [\ (5!:5)<'solve'
((":@:(10 (#.) 0 1 2 3&({ )) , ' + ' , ":@:(10 (#.) 4 5 6 1&({ )) , ' = ' , ":@:
(10 (#.) 4 5 2 1 7&({ )))@:(0&({::)) , ', random tries ' , ":@:(1&({::)))@:(((10
?~ 8:) ; 1 + 1&({::))^:(-.@:(-.@:(0 = 4&({ )) *. ((10 (#.) 0 1 2 3&({ )) + 10 (
#.) 4 5 6 1&({ )) = 10 (#.) 4 5 2 1 7&({ ))@:(0&({::)))^:_)@:(0 ;~ i.)@:8:</syntaxhighlight>
=={{header|jq}}==
{{works with|jq}}
'''Works with gojq, the Go implementation of jq, and with fq'''
Straight out of the [https://en.wikipedia.org/wiki/Jq_(programming_language) wikipedia] page, except for {} instead of [] in the last line of the def:
<syntaxhighlight lang=jq>
def send_more_money:
def choose(m;n;used): ([range(m;n+1)] - used)[];
def num(a;b;c;d): 1000*a + 100*b + 10*c + d;
def num(a;b;c;d;e): 10*num(a;b;c;d) + e;
first(
1 as $m
| 0 as $o
| choose(8;9;[]) as $s
| choose(2;9;[$s]) as $e
| choose(2;9;[$s,$e]) as $n
| choose(2;9;[$s,$e,$n]) as $d
| choose(2;9;[$s,$e,$n,$d]) as $r
| choose(2;9;[$s,$e,$n,$d,$r]) as $y
| select(num($s;$e;$n;$d) + num($m;$o;$r;$e) == num($m;$o;$n;$e;$y))
| {$s,$e,$n,$d,$m,$o,$r,$e,$m,$o,$n,$e,$y} );
send_more_money
</syntaxhighlight>
{{output}}
<pre>
{"s":9,"e":5,"n":6,"d":7,"m":1,"o":0,"r":8,"y":2}
</pre>
Line 87 ⟶ 510:
end
</syntaxhighlight>{{out}} 9567 + 1085 == 10652
=={{header|Nim}}==
{{trans|Julia}}
<syntaxhighlight lang="Nim">import std/strformat
let m = 1
for s in 8..9:
for e in 0..9:
if e in [m, s]: continue
for n in 0..9:
if n in [m, s, e]: continue
for d in 0..9:
if d in [m, s, e, n]: continue
for o in 0..9:
if o in [m, s, e, n, d]: continue
for r in 0..9:
if r in [m, s, e, n, d, o]: continue
for y in 0..9:
if y in [m, s, e, n, d, o]: continue
if 1000 * s + 100 * e + 10 * n + d + 1000 * m + 100 * o + 10 * r + e ==
10000 * m + 1000 * o + 100 * n + 10 * e + y:
echo &"{s}{e}{n}{d} + {m}{o}{r}{e} = {m}{o}{n}{e}{y}"
</syntaxhighlight>
{{out}}
<pre>9567 + 1085 = 10652
</pre>
=={{header|Pascal}}==
==={{header|Free Pascal}}===
simple brute force. Permutation stolen by nQueens.
<syntaxhighlight lang="pascal">
program SymbolToDigit;
{$IFDEF FPC}{$MODE DELPHI}{$Optimization ON,All}{$ENDIF}
{$IFDEF Windows}{$APPTYPE CONSOLE}{$ENDIF}
uses
sysutils;// TDatetime
const
nmax = 9;
maxLen = 7;
type
tFreeDgt = array[0..nmax+1] of Int32;
tSymbWord = String[maxLen];
tDgtWord = record
DW_DgtsIdx: array[1..maxLen] of UInt8;
DW_maxIdx: Uint8;
end;
tDgtFront = record
DW_DgtsIdx: array[1..nmax+1] of UInt8;
DW_maxIdx: Uint8;
end;
tInUse = set of 0..nmax+1;
const
{
maxIDx = 2;
cSumWords : array[0..maxIDx] of tSymbWord =('SEND','MORE','MONEY');
}
{
maxIDx = 4;
cSumWords : array[0..maxIDx] of tSymbWord =('ABRA','CADABRA','ABRA','CADABRA','HOUDINI');
}
//MANYOTHERS=M2A7N6Y4O1T9H5E0R8S3
maxIDx = 41;
cSumWords : array[0..maxIDx] of tSymbWord =(
'SO','MANY','MORE','MEN','SEEM','TO','SAY','THAT',
'THEY','MAY','SOON','TRY','TO','STAY','AT','HOME',
'SO','AS','TO','SEE','OR','HEAR','THE','SAME','ONE',
'MAN','TRY','TO','MEET','THE','TEAM','ON','THE',
'MOON','AS','HE','HAS','AT','THE','OTHER','TEN',
'TESTS');
var
{$ALIGN 32}
DigitSample,
DigitSampleSolution : tFreeDgt;
SymbInUse : array[0..10] of char;
Words :array[0..maxIDx] of tSymbWord;
DgtWords : array[0..maxIDx] of tDgtWord;
DgtFrontWords :tDgtFront;
SymbInUseCount,gblCount : Uint32;
fullStop: boolean;
ch : char;
procedure OneSol(idx:int32;const DS:tFreeDgt);
var
i,symbolIdx : Int32;
begin
For i := maxlen downto 1 do
begin
symbolIdx := DgtWords[idx].DW_DgtsIdx[i];
if symbolIdx = 0 then
write(' ')
else
write(DS[symbolIdx]);
end;
writeln(cSumWords[idx]:maxLen+2);
end;
procedure RevString(var s:tSymbWord);
var
i,j: NativeInt;
begin
i := 1;
j := Length(s);
while j>i do
begin
ch:= s[i];s[i]:= s[j];s[j] := ch;
inc(i);dec(j);
end;
end;
procedure GetSymbols;
var
//CHR(ORD('A')-1) = '@' is placeholder for no Symbol
SymbToIdx : array['@'..'Z'] of byte;
FrontSymbols :tInUse;
i,j : Int32;
Begin
fillchar(SymbToIdx,SizeOf(SymbToIdx),#255);
SymbToIdx['@'] := 0;
SymbInUseCount := 1;//['@'] is always zero
For i := 0 to maxIDx do
begin
Words[i] := cSumWords[i];
j := length(Words[i]);
//position of highest symbol
DgtWords[i].DW_maxIdx := j;
// extend by '@' aka zero
RevString(Words[i]);
setlength(Words[i],maxlen);
For j := j+1 to maxLen do
Words[i][j] := Low(SymbToIdx);
end;
// find all symbols
for j := 1 to High(tSymbWord) do
Begin
For i := 0 to maxIdx do
begin
ch := Words[i][j];
if SymbToIdx[ch] = 255 then
begin
SymbToIdx[ch] := SymbInUseCount;
SymbInUse[SymbInUseCount] := ch;
inc(SymbInUseCount);
end;
end;
end;
dec(SymbInUseCount);
For i := 1 to SymbInUseCount do
write(SymbInUse[i]);
writeln(SymbInUseCount:4,' symbols');
//get index for every symbol in word
For i := 0 to maxIdx do
with DgtWords[i] do
for j := 1 to High(tSymbWord) do
DW_DgtsIdx[j]:= SymbToIdx[Words[i][j]];
//find all first symbols
FrontSymbols := [];
For i := 0 to maxIDx do
with DgtWords[i] do
include(FrontSymbols,DW_DgtsIdx[DW_maxIdx]);
j := 1;
For i := 0 to nmax+1 do
if i in FrontSymbols then
Begin
DgtFrontWords.DW_DgtsIdx[j] := i;
inc(j);
end;
DgtFrontWords.DW_maxIdx := j-1;
end;
function AddWords(const DS:tFreeDgt):boolean;
var
col,row,
sum,carry : NativeUInt;
begin
// check for zero in first symbols of words
with DgtFrontWords do
For col := DW_maxIdx downto 1 do
begin
if DS[DW_DgtsIdx[col]] = 0 then
EXIT(false);
end;
carry := 0;
For col := 1 to maxLen do
Begin
sum := carry;
carry := 0;
// add one column
For row := maxIdx-1 downto 0 do
sum := sum+DS[DgtWords[row].DW_DgtsIdx[col]];
if sum > 9 then
begin
carry := sum DIV 10;
sum := sum - 10 * carry;
end;
//digit of sum
if sum <> DS[DgtWords[maxIDx].DW_DgtsIdx[col]] then
EXIT(false);
end;
If Carry = 0 then
DigitSampleSolution := DS;
EXIT(true);
end;
procedure NextPermute(Row:nativeInt;var DS:tFreeDgt);
var
i,Col : nativeInt;
begin
if fullStop then EXIT;
IF row <= 10 then
begin
NextPermute(Row+1,DS);
For i := row+1 to 10 do
begin
//swap
Col := DS[i];
DS[i] := DS[Row];
DS[Row] := Col;
NextPermute(Row+1,DS);
//Undo swap
DS[Row] := DS[i];
DS[i] := Col;
end
end
else
begin
fullStop := AddWords(DS);
inc(gblCount);
end
end;
var
T1,T0: TDateTime;
i,j : Uint32;
begin
DigitSample[0] := 0;
For i := 0 to nmax do
DigitSample[i+1] := i;
GetSymbols;
t0 := time;
gblCount := 0;
fullStop := false;
NextPermute(1,DigitSample);
t1:= time;
IF maxIDx < 10 then
For i := 0 to High(DgtWords)do
OneSol(i,DigitSampleSolution);
writeln;
For i := 1 to SymbInUseCount do
begin
j := DigitSampleSolution[i];
write(SymbInUse[i],'=',j,' ');
end;
writeln;
WriteLn(gblCount,' checks ',FormatDateTime(' NN:SS.ZZZ',T1-t0),' secs');
end.</syntaxhighlight>
{{out|@TIO.RUN}}
<pre>
DEYNROSM 8 symbols
9567 SEND
1085 MORE
10652 MONEY
D=7 E=5 Y=2 N=6 R=8 O=0 S=9 M=1
2704147 checks 00:00.043 secs
//shorthened 'SO','MANY','MORE','MEN','SEEM','TO','SAY',
OYENMTSRAH 10 symbols
O=1 Y=4 E=0 N=6 M=2 T=9 S=3 R=8 A=7 H=5
496179 checks 00:00.013 secs</pre>
=={{header|Perl}}==
{{trans|Raku}}
=== Exhaustive ===
<syntaxhighlight lang="perl" line>use v5.36;
use enum <D E M N O R S Y>;
use Algorithm::Combinatorics <combinations permutations>;
sub solve {
for my $p (map { permutations $_ } combinations [0..9], 8) {
return $p if @$p[M] > 0 and join('',@$p[S,E,N,D])+join('',@$p[M,O,R,E]) == join('',@$p[M,O,N,E,Y]);
}
}
printf "SEND + MORE == MONEY\n%d + %d == %d", join('',@$_[S,E,N,D]), join('',@$_[M,O,R,E]), join '',@$_[M,O,N,E,Y]) for solve();</syntaxhighlight>
{{out}}
<pre>SEND + MORE == MONEY
9567 + 1085 == 10652</pre>
=== Fine-tuned ===
<syntaxhighlight lang="perl" line>use v5.36;
my $s = 7;
while (++$s <= 9) {
my $e = -1;
while (++$e <= 9) {
next if $e == $s;
my $n = -1;
while (++$n <= 9) {
next if grep { $n == $_ } $s,$e;
my $d = -1;
while (++$d <= 9) {
next if grep { $d == $_ } $s,$e,$n;
my $send = $s*10**3 + $e*10**2 + $n*10 + $d;
my ($m, $o) = (1, -1);
while (++$o <= 9) {
next if grep { $o == $_ } $s,$e,$n,$d,$m;
my $r = -1;
while (++$r <= 9) {
next if grep { $r == $_ } $s,$e,$n,$d,$m,$o;
my $more = $m*10**3 + $o*10**2 + $r*10 + $e;
my $y = -1;
while (++$y <= 9) {
next if grep { $y == $_ } $s,$e,$n,$d,$m,$o,$r;
my $money = $m*10**4 + $o*10**3 + $n*10**2 + $e*10 + $y;
next unless $send + $more == $money;
say "SEND + MORE == MONEY\n$send + $more == $money";
}
}
}
}
}
}
}
</syntaxhighlight>
{{out}}
<pre>SEND + MORE == MONEY
9567 + 1085 == 10652</pre>
=={{header|Phix}}==
Mighta gota bit carried away here...
<!--<syntaxhighlight lang="phix">(phixonline)-->
<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span>
<span style="color: #004080;">sequence</span> <span style="color: #000000;">answer</span>
<span style="color: #008080;">procedure</span> <span style="color: #000000;">solve</span><span style="color: #0000FF;">(</span><span style="color: #004080;">sequence</span> <span style="color: #000000;">sums</span><span style="color: #0000FF;">,</span><span style="color: #000000;">solve_order</span><span style="color: #0000FF;">,</span><span style="color: #000000;">firsts</span><span style="color: #0000FF;">,</span><span style="color: #000000;">correct_to</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">integer</span> <span style="color: #000000;">l</span><span style="color: #0000FF;">,</span><span style="color: #000000;">avail</span><span style="color: #0000FF;">,</span><span style="color: #000000;">done</span><span style="color: #0000FF;">=</span><span style="color: #000000;">0</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">done</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">1</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">d</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">solve_order</span><span style="color: #0000FF;">[</span><span style="color: #000000;">done</span><span style="color: #0000FF;">]</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">ad</span><span style="color: #0000FF;">=</span><span style="color: #000000;">firsts</span><span style="color: #0000FF;">[</span><span style="color: #000000;">done</span><span style="color: #0000FF;">]</span> <span style="color: #008080;">to</span> <span style="color: #000000;">9</span> <span style="color: #008080;">do</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">m</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">power</span><span style="color: #0000FF;">(</span><span style="color: #000000;">2</span><span style="color: #0000FF;">,</span><span style="color: #000000;">ad</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #7060A8;">and_bits</span><span style="color: #0000FF;">(</span><span style="color: #000000;">avail</span><span style="color: #0000FF;">,</span><span style="color: #000000;">m</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">answer</span><span style="color: #0000FF;">[</span><span style="color: #000000;">d</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">ad</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">ct</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">correct_to</span><span style="color: #0000FF;">[</span><span style="color: #000000;">done</span><span style="color: #0000FF;">],</span> <span style="color: #000000;">carry</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">bOK</span> <span style="color: #0000FF;">=</span> <span style="color: #004600;">true</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: #000000;">ct</span> <span style="color: #008080;">do</span>
<span style="color: #000000;">carry</span> <span style="color: #0000FF;">+=</span> <span style="color: #7060A8;">sum</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">extract</span><span style="color: #0000FF;">(</span><span style="color: #000000;">answer</span><span style="color: #0000FF;">,</span><span style="color: #000000;">sums</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">][</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]))</span>
<span style="color: #008080;">if</span> <span style="color: #7060A8;">remainder</span><span style="color: #0000FF;">(</span><span style="color: #000000;">carry</span><span style="color: #0000FF;">,</span><span style="color: #000000;">10</span><span style="color: #0000FF;">)!=</span><span style="color: #000000;">answer</span><span style="color: #0000FF;">[</span><span style="color: #000000;">sums</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">][</span><span style="color: #000000;">2</span><span style="color: #0000FF;">]]</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">bOK</span> <span style="color: #0000FF;">=</span> <span style="color: #004600;">false</span>
<span style="color: #008080;">exit</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #000000;">carry</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">floor</span><span style="color: #0000FF;">(</span><span style="color: #000000;">carry</span><span style="color: #0000FF;">/</span><span style="color: #000000;">10</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">bOK</span> <span style="color: #008080;">then</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">ct</span><span style="color: #0000FF;">=</span><span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">sums</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">then</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">carry</span><span style="color: #0000FF;">=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span> <span style="color: #0000FF;">?</span><span style="color: #000000;">answer</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">else</span>
<span style="color: #000000;">solve</span><span style="color: #0000FF;">(</span><span style="color: #000000;">sums</span><span style="color: #0000FF;">,</span><span style="color: #000000;">solve_order</span><span style="color: #0000FF;">,</span><span style="color: #000000;">firsts</span><span style="color: #0000FF;">,</span><span style="color: #000000;">correct_to</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">,</span><span style="color: #000000;">avail</span><span style="color: #0000FF;">-</span><span style="color: #000000;">m</span><span style="color: #0000FF;">,</span><span style="color: #000000;">done</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #000000;">answer</span><span style="color: #0000FF;">[</span><span style="color: #000000;">d</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">-</span><span style="color: #000000;">1</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;">procedure</span>
<span style="color: #008080;">procedure</span> <span style="color: #000000;">cryptarithm</span><span style="color: #0000FF;">(</span><span style="color: #004080;">string</span> <span style="color: #000000;">s</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">eq</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">find</span><span style="color: #0000FF;">(</span><span style="color: #008000;">'='</span><span style="color: #0000FF;">,</span><span style="color: #000000;">s</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">sequence</span> <span style="color: #000000;">ans</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">trim</span><span style="color: #0000FF;">(</span><span style="color: #000000;">s</span><span style="color: #0000FF;">[</span><span style="color: #000000;">eq</span><span style="color: #0000FF;">+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">..$]),</span>
<span style="color: #000000;">words</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">apply</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">split</span><span style="color: #0000FF;">(</span><span style="color: #000000;">s</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">..</span><span style="color: #000000;">eq</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">],</span><span style="color: #008000;">'+'</span><span style="color: #0000FF;">),</span><span style="color: #7060A8;">trim</span><span style="color: #0000FF;">),</span>
<span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">join</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">unique</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">join</span><span style="color: #0000FF;">(</span><span style="color: #000000;">words</span><span style="color: #0000FF;">,</span><span style="color: #008000;">""</span><span style="color: #0000FF;">)&</span><span style="color: #000000;">ans</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"STABLE"</span><span style="color: #0000FF;">),</span><span style="color: #008000;">""</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">l</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">res</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;">w</span> <span style="color: #008080;">in</span> <span style="color: #000000;">words</span> <span style="color: #008080;">do</span>
<span style="color: #000000;">words</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: #7060A8;">apply</span><span style="color: #0000FF;">(</span><span style="color: #004600;">true</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">find</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">w</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">res</span><span style="color: #0000FF;">}})</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #000000;">ans</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">apply</span><span style="color: #0000FF;">(</span><span style="color: #004600;">true</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">find</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">ans</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">res</span><span style="color: #0000FF;">}})</span>
<span style="color: #004080;">sequence</span> <span style="color: #000000;">sums</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{},</span>
<span style="color: #000000;">solve_order</span> <span style="color: #0000FF;">=</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;">ans</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
<span style="color: #004080;">sequence</span> <span style="color: #000000;">set</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{}</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">w</span> <span style="color: #008080;">in</span> <span style="color: #000000;">words</span> <span style="color: #008080;">do</span>
<span style="color: #008080;">if</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">w</span><span style="color: #0000FF;">)>=</span><span style="color: #000000;">i</span> <span style="color: #008080;">then</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">wi</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">w</span><span style="color: #0000FF;">[-</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]</span>
<span style="color: #000000;">set</span> <span style="color: #0000FF;">&=</span> <span style="color: #000000;">wi</span>
<span style="color: #008080;">if</span> <span style="color: #008080;">not</span> <span style="color: #7060A8;">find</span><span style="color: #0000FF;">(</span><span style="color: #000000;">wi</span><span style="color: #0000FF;">,</span><span style="color: #000000;">solve_order</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">solve_order</span> <span style="color: #0000FF;">&=</span> <span style="color: #000000;">wi</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</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: #004080;">integer</span> <span style="color: #000000;">ai</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">ans</span><span style="color: #0000FF;">[-</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]</span>
<span style="color: #008080;">if</span> <span style="color: #008080;">not</span> <span style="color: #7060A8;">find</span><span style="color: #0000FF;">(</span><span style="color: #000000;">ai</span><span style="color: #0000FF;">,</span><span style="color: #000000;">solve_order</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">solve_order</span> <span style="color: #0000FF;">&=</span> <span style="color: #000000;">ai</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #000000;">sums</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">append</span><span style="color: #0000FF;">(</span><span style="color: #000000;">sums</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">set</span><span style="color: #0000FF;">,</span><span style="color: #000000;">ai</span><span style="color: #0000FF;">})</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #7060A8;">assert</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">solve_order</span><span style="color: #0000FF;">)=</span><span style="color: #000000;">l</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">sequence</span> <span style="color: #000000;">firsts</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">repeat</span><span style="color: #0000FF;">(</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">),</span>
<span style="color: #000000;">correct_to</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">repeat</span><span style="color: #0000FF;">(</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">f</span> <span style="color: #008080;">in</span> <span style="color: #7060A8;">unique</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">join</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">apply</span><span style="color: #0000FF;">(</span><span style="color: #004600;">true</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">extract</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">words</span><span style="color: #0000FF;">,{{</span><span style="color: #000000;">1</span><span style="color: #0000FF;">}}}),{})&</span><span style="color: #000000;">ans</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">])</span> <span style="color: #008080;">do</span>
<span style="color: #000000;">firsts</span><span style="color: #0000FF;">[</span><span style="color: #7060A8;">find</span><span style="color: #0000FF;">(</span><span style="color: #000000;">f</span><span style="color: #0000FF;">,</span><span style="color: #000000;">solve_order</span><span style="color: #0000FF;">)]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">1</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">mm</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">,</span><span style="color: #000000;">fs</span> <span style="color: #008080;">in</span> <span style="color: #7060A8;">apply</span><span style="color: #0000FF;">(</span><span style="color: #000000;">sums</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">flatten</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">m</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">max</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">apply</span><span style="color: #0000FF;">(</span><span style="color: #004600;">true</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">find</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">fs</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">solve_order</span><span style="color: #0000FF;">}}))</span>
<span style="color: #000000;">mm</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">max</span><span style="color: #0000FF;">(</span><span style="color: #000000;">m</span><span style="color: #0000FF;">,</span><span style="color: #000000;">mm</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">correct_to</span><span style="color: #0000FF;">[</span><span style="color: #000000;">mm</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">i</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #7060A8;">assert</span><span style="color: #0000FF;">(</span><span style="color: #000000;">correct_to</span><span style="color: #0000FF;">[$]=</span><span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">sums</span><span style="color: #0000FF;">))</span>
<span style="color: #000000;">answer</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">repeat</span><span style="color: #0000FF;">(-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">)</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 - %s is "</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">s</span><span style="color: #0000FF;">,</span><span style="color: #000000;">res</span><span style="color: #0000FF;">})</span>
<span style="color: #000000;">solve</span><span style="color: #0000FF;">(</span><span style="color: #000000;">sums</span><span style="color: #0000FF;">,</span><span style="color: #000000;">solve_order</span><span style="color: #0000FF;">,</span><span style="color: #000000;">firsts</span><span style="color: #0000FF;">,</span><span style="color: #000000;">correct_to</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0b1_111_111_111</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</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;">`SEND+MORE=MONEY`</span><span style="color: #0000FF;">,</span>
<span style="color: #008000;">`TO+GO=OUT`</span><span style="color: #0000FF;">,</span>
<span style="color: #008000;">`SEND + A + TAD + MORE = MONEY`</span><span style="color: #0000FF;">,</span>
<span style="color: #008000;">`ABRA + CADABRA + ABRA + CADABRA = HOUDINI`</span><span style="color: #0000FF;">,</span>
<span style="color: #008000;">`I + GUESS + THE + TRUTH = HURTS`</span><span style="color: #0000FF;">,</span>
<span style="color: #008000;">`THATS + THE + THEORY = ANYWAY`</span><span style="color: #0000FF;">,</span>
<span style="color: #000080;font-style:italic;">-- tad slow, 5.8s vs 0.2s for all above:</span>
<span style="color: #008000;">`SO+MANY+MORE+MEN+SEEM+TO+SAY+THAT+
THEY+MAY+SOON+TRY+TO+STAY+AT+HOME+
SO+AS+TO+SEE+OR+HEAR+THE+SAME+ONE+
MAN+TRY+TO+MEET+THE+TEAM+ON+THE+
MOON+AS+HE+HAS+AT+THE+OTHER+TEN
=TESTS`</span><span style="color: #0000FF;">}</span>
<span style="color: #7060A8;">papply</span><span style="color: #0000FF;">(</span><span style="color: #000000;">tests</span><span style="color: #0000FF;">,</span><span style="color: #000000;">cryptarithm</span><span style="color: #0000FF;">)</span>
<!--</syntaxhighlight>-->
{{out}}
<pre>
SEND+MORE=MONEY - SENDMORY is {9,5,6,7,1,0,8,2}
TO+GO=OUT - TOGU is {2,1,8,0}
SEND + A + TAD + MORE = MONEY - SENDATMORY is {9,2,8,3,7,4,1,0,6,5}
ABRA + CADABRA + ABRA + CADABRA = HOUDINI - ABRCDHOUIN is {7,4,5,1,9,3,6,0,8,2}
I + GUESS + THE + TRUTH = HURTS - IGUESTHR is {5,2,6,8,1,4,7,9}
THATS + THE + THEORY = ANYWAY - THASEORYNW is {8,6,9,7,3,2,4,1,5,0}
SO+MANY+MORE+MEN+SEEM+TO+SAY+THAT+
THEY+MAY+SOON+TRY+TO+STAY+AT+HOME+
SO+AS+TO+SEE+OR+HEAR+THE+SAME+ONE+
MAN+TRY+TO+MEET+THE+TEAM+ON+THE+
MOON+AS+HE+HAS+AT+THE+OTHER+TEN
=TESTS - SOMANYRETH is {3,1,2,7,6,4,8,0,9,5}
</pre>
===Translation of Raku===
Quite a bit slower than the above
<!--<syntaxhighlight lang="phix">(phixonline)-->
<span style="color: #008080;">enum</span> <span style="color: #000000;">S</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">E</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">N</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">D</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">M</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">O</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">R</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">Y</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">check</span><span style="color: #0000FF;">(</span><span style="color: #004080;">sequence</span> <span style="color: #000000;">p</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">p</span><span style="color: #0000FF;">[</span><span style="color: #000000;">M</span><span style="color: #0000FF;">]!=</span><span style="color: #000000;">0</span> <span style="color: #008080;">and</span>
<span style="color: #7060A8;">sum</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">sq_mul</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">extract</span><span style="color: #0000FF;">(</span><span style="color: #000000;">p</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">S</span><span style="color: #0000FF;">,</span><span style="color: #000000;">E</span><span style="color: #0000FF;">,</span><span style="color: #000000;">N</span><span style="color: #0000FF;">,</span><span style="color: #000000;">D</span><span style="color: #0000FF;">}),{</span><span style="color: #000000;">1000</span><span style="color: #0000FF;">,</span><span style="color: #000000;">100</span><span style="color: #0000FF;">,</span><span style="color: #000000;">10</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1</span><span style="color: #0000FF;">}))+</span>
<span style="color: #7060A8;">sum</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">sq_mul</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">extract</span><span style="color: #0000FF;">(</span><span style="color: #000000;">p</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">M</span><span style="color: #0000FF;">,</span><span style="color: #000000;">O</span><span style="color: #0000FF;">,</span><span style="color: #000000;">R</span><span style="color: #0000FF;">,</span><span style="color: #000000;">E</span><span style="color: #0000FF;">}),{</span><span style="color: #000000;">1000</span><span style="color: #0000FF;">,</span><span style="color: #000000;">100</span><span style="color: #0000FF;">,</span><span style="color: #000000;">10</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1</span><span style="color: #0000FF;">}))=</span>
<span style="color: #7060A8;">sum</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">sq_mul</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">extract</span><span style="color: #0000FF;">(</span><span style="color: #000000;">p</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">M</span><span style="color: #0000FF;">,</span><span style="color: #000000;">O</span><span style="color: #0000FF;">,</span><span style="color: #000000;">N</span><span style="color: #0000FF;">,</span><span style="color: #000000;">E</span><span style="color: #0000FF;">,</span><span style="color: #000000;">Y</span><span style="color: #0000FF;">}),{</span><span style="color: #000000;">10000</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1000</span><span style="color: #0000FF;">,</span><span style="color: #000000;">100</span><span style="color: #0000FF;">,</span><span style="color: #000000;">10</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1</span><span style="color: #0000FF;">}))</span> <span style="color: #008080;">then</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;">" %d%d%d%d\n"</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">extract</span><span style="color: #0000FF;">(</span><span style="color: #000000;">p</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">S</span><span style="color: #0000FF;">,</span><span style="color: #000000;">E</span><span style="color: #0000FF;">,</span><span style="color: #000000;">N</span><span style="color: #0000FF;">,</span><span style="color: #000000;">D</span><span style="color: #0000FF;">}))</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;">" + %d%d%d%d\n"</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">extract</span><span style="color: #0000FF;">(</span><span style="color: #000000;">p</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">M</span><span style="color: #0000FF;">,</span><span style="color: #000000;">O</span><span style="color: #0000FF;">,</span><span style="color: #000000;">R</span><span style="color: #0000FF;">,</span><span style="color: #000000;">E</span><span style="color: #0000FF;">}))</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;">"= %d%d%d%d%d\n"</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">extract</span><span style="color: #0000FF;">(</span><span style="color: #000000;">p</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">M</span><span style="color: #0000FF;">,</span><span style="color: #000000;">O</span><span style="color: #0000FF;">,</span><span style="color: #000000;">N</span><span style="color: #0000FF;">,</span><span style="color: #000000;">E</span><span style="color: #0000FF;">,</span><span style="color: #000000;">Y</span><span style="color: #0000FF;">}))</span>
<span style="color: #008080;">return</span> <span style="color: #004600;">false</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">return</span> <span style="color: #004600;">true</span> <span style="color: #000080;font-style:italic;">-- continue</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #0000FF;">{}</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">permutes</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">tagset</span><span style="color: #0000FF;">(</span><span style="color: #000000;">9</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">),</span><span style="color: #000000;">check</span><span style="color: #0000FF;">,</span><span style="color: #000000;">8</span><span style="color: #0000FF;">)</span>
<!--</syntaxhighlight>-->
{{out}}
<pre>
9567
+ 1085
= 10652
</pre>
=={{header|Python}}==
{{trans|Nim}}
<syntaxhighlight lang="python3">
# SEND + MORE = MONEY by xing216
m = 1
for s in range(8,10):
for e in range(10):
if e in [m, s]: continue
for n in range(10):
if n in [m, s, e]: continue
for d in range(10):
if d in [m, s, e, n]: continue
for o in range(10):
if o in [m, s, e, n, d]: continue
for r in range(10):
if r in [m, s, e, n, d, o]: continue
for y in range(10):
if y in [m, s, e, n, d, o]: continue
if 1000 * s + 100 * e + 10 * n + d + 1000 * m + 100 * o + 10 * r + e == \
10000 * m + 1000 * o + 100 * n + 10 * e + y:
print(f"{s}{e}{n}{d} + {m}{o}{r}{e} = {m}{o}{n}{e}{y}")
</syntaxhighlight>
{{out}}
<pre>
9567 + 1085 = 10652
</pre>
=={{header|Raku}}==
=== Idiomatic ===
<syntaxhighlight lang="raku" line>
enum <D E M N O R S Y>;
sub find_solution ( ) {
for ('0'..'9').combinations(8) -> @c {
.return with @c.permutations.first: -> @p {
@p[M] !== 0 and
@p[ S,E,N,D].join
+ @p[ M,O,R,E].join
== @p[M,O,N,E,Y].join
}
}
}
my @s = find_solution();
say " {@s[ S,E,N,D].join}";
say " + {@s[ M,O,R,E].join}";
say "== { @s[M,O,N,E,Y].join}";
</syntaxhighlight>
{{out}}
<pre>
9567
+ 1085
== 10652
</pre>
=== Fast ===
Alternately, a version written in 2015 by [http://strangelyconsistent.org/blog/send-more-money-in-perl6 Carl Mäsak]. Not very concise but quite speedy. Applying the observation that M must be 1 and S must be either 8 or 9 gets the runtime under a tenth of a second.
<syntaxhighlight lang="raku" line>my $s = 7;
while ++$s ≤ 9 {
my $e = -1;
while ++$e ≤ 9 {
next if $e == $s;
my $n = -1;
while ++$n ≤ 9 {
next if $n == $s|$e;
my $d = -1;
while ++$d ≤ 9 {
next if $d == $s|$e|$n;
my $send = $s×10³ + $e×10² + $n×10 + $d;
my ($m, $o) = 1, -1;
while ++$o ≤ 9 {
next if $o == $s|$e|$n|$d|$m;
my $r = -1;
while ++$r ≤ 9 {
next if $r == $s|$e|$n|$d|$m|$o;
my $more = $m×10³ + $o×10² + $r×10 + $e;
my $y = -1;
while ++$y ≤ 9 {
next if $y == $s|$e|$n|$d|$m|$o|$r;
my $money = $m×10⁴ + $o×10³ + $n×10² + $e×10 + $y;
next unless $send + $more == $money;
say 'SEND + MORE == MONEY' ~ "\n$send + $more == $money";
}
}
}
}
}
}
}
printf "%.3f elapsed seconds", now - INIT now;</syntaxhighlight>
{{out}}
<pre>SEND + MORE == MONEY
9567 + 1085 == 10652
0.080 elapsed seconds</pre>
=={{header|Ring}}==
<syntaxhighlight lang="ring">
// Bert Mariani 2023-02-09 | A Monte Carlo method to solve the encryted message | SEND + MORE = MONEY
t1 = clock() //
See "Start Clock: "+ t1 +nl
counter = 1
aSendory = [["s","-"],["e","-"],["n","-"],["d","-"],["o","-"],["r","-"],["y","-"]]
aRandom = List(10) // 0-9
for j = 1 to 100000000
aRandom = GenRandomUniq() // 5 2 0 8 7 1 6 4 3 9
for i = 1 to 7
if aRandom[1] != 1 // m = 1
aSendory[i][2] = aRandom[1]
del(aRandom,1) // Shorten list, remove value entry picked
else
del(aRandom,1)
i--
ok
next
if (TrySolution(aSendory)) break else counter++ ok // True=1 = Solution Found
next
See "End Clock.: "+ (clock() - t1) +nl
See "Count cycles: "+ counter +nl
Func GenRandomUniq()
throwLimit = 10 // 0-9, Ring does 1-10
aList = 1:throwLimit
aOut = []
while len(aOut) != throwLimit
nSize = len(aList)
if nSize > 0
nIndex = random(nSize) // Random pointer into list
if nIndex = 0 nIndex=1 ok // Ignore 0, Ring Index at 1-10
aOut + (aList[nIndex] -1) // -1 fix value 0-9, Ring +1 Extract list entry content
del(aList,nIndex) // Shorten list, remove value entry picked
else
aOut + aList[1]
aList = []
ok
end
return aOut
Func TrySolution(aTry)
s1 = ( aTry[1][2]) * 1000 // send
e1 = ( aTry[2][2]) * 100
n1 = ( aTry[3][2]) * 10
d1 = ( aTry[4][2]) * 1
nbr1 = s1 + e1 + n1 + d1
m1 = 1 * 1000 // more
o1 = ( aTry[5][2]) * 100
r1 = ( aTry[6][2]) * 10
e1 = ( aTry[2][2]) * 1
nbr2 = m1 + o1 + r1 + e1
m1 = 1 * 10000 // money
o1 = ( aTry[5][2]) * 1000
n1 = ( aTry[3][2]) * 100
e1 = ( aTry[2][2]) * 10
y1 = ( aTry[7][2]) * 1
nbr3 = m1 + o1 +n1 + e1 + y1
nbr4 = nbr1 + nbr2
if (nbr3 = nbr4)
See "Solved: SEND: "+ nbr1 +" MORE: "+ nbr2 +" MONEY: "+ nbr3 +" Check "+ nbr4 +nl
return (nbr3 = nbr4 ) // True
ok
return False
</syntaxhighlight>
{{out}}
<pre>
// Output
// Start Clock: 32
// Solved: SEND: 9567 MORE: 1085 MONEY: 10652 Check 10652
// End Clock.: 3792
// Count cycles: 28316
</pre>
===original===
<syntaxhighlight lang="ring">
// Author: Gal Zsolt 2023-02-08
see "works..." + nl + nl
aListSend = []
Line 151 ⟶ 1,234:
next
next
see "done..." + nl
</syntaxhighlight>
Line 159 ⟶ 1,241:
SEND = 9567 MORE = 1085 MONEY = 10652
done...
</pre>
=={{header|Ruby}}==
Solving for the string "SEND + 1ORE == 1ONEY" using 'tr' , which translates characters to other characters. The resulting string is brutally evalled.
<syntaxhighlight lang="ruby">str = "SEND + 1ORE == 1ONEY"
digits = [0,2,3,4,5,6,7,8,9] # 1 is absent
uniq_chars = str.delete("^A-Z").chars.uniq.join
res = digits.permutation(uniq_chars.size).detect do |perm|
num_str = str.tr(uniq_chars, perm.join)
next if num_str.match?(/\b0/) #no words can start with 0
eval num_str
end
puts str.tr(uniq_chars, res.join)
</syntaxhighlight>
{{out}}
<pre>9567 + 1085 == 10652
</pre>
=={{header|Vala}}==
{{trans|C}}
<syntaxhighlight lang="vala">void main() {
int m = 1, s, e, n, d, o, r, y, sum1, sum2;
string f = "%d%d%d%d + %d%d%d%d = %d%d%d%d%d\n";
for (s = 8; s < 10; ++s) {
for (e = 0; e < 10; ++e) {
if (e == m || e == s) continue;
for (n = 0; n < 10; ++n) {
if (n == m || n == s || n == e) continue;
for (d = 0; d < 10; ++d) {
if (d == m || d == s || d == e || d == n) continue;
for (o = 0; o < 10; ++o) {
if (o == m || o == s || o == e || o == n || o == d) continue;
for (r = 0; r < 10; ++r) {
if (r == m || r == s || r == e || r == n || r == d || r == o) continue;
for (y = 0; y < 10; ++y) {
if (y == m || y == s || y == e || y == n || y == d || y == o) continue;
sum1 = 1000*s + 100*e + 10*n + d + 1000*m + 100*o + 10*r + e;
sum2 = 10000*m + 1000*o + 100*n + 10*e + y;
if (sum1 == sum2) {
print(f, s, e, n, d, m, o, r, e, m, o, n, e, y);
}
}
}
}
}
}
}
}
}</syntaxhighlight>
{{out}}
<pre>
9567 + 1085 = 10652
</pre>
=={{header|Wren}}==
Clearly M = 1 and S must be 8 or 9. Brute force can be used to solve for the other letters.
<syntaxhighlight lang="
var sends = []
var ors = []
Line 193 ⟶ 1,327:
for (or in ors) {
if (send.contains(or[0]) || send.contains(or[1])) continue
var MORE = 1000 * m + 100 * or[0] + 10 * or[1] + send[1]
for (y in digits) {
if (
var MONEY = 10000 * m + 1000 * or[0] + 100 * send[2] + 10 * send[1] + y
if (SEND + MORE == MONEY) {
Line 211 ⟶ 1,344:
9567 + 1085 = 10652
Took 0.
</pre>
=={{header|XPL0}}==
<syntaxhighlight lang "XPL0">include xpllib; \for Print
def M = 1;
int S, E, N, D, O, R, Y;
begin \ Solve the SEND+MORE=MONEY puzzle - Translation of the Algol 68 sample
for S:= 8 to 9 do
for E:= 0 to 9 do
if E # M and E # S then
for N:= 0 to 9 do
if N # M and N # S and N # E then
for D:= 0 to 9 do
if D # M and D # S and D # E and D # N then
for O:= 0 to 9 do
if O # M and O # S and O # E and O # N and O # D then
for R:= 0 to 9 do
if R # M and R # S and R # E and R # N and R # D and R # O then
for Y:= 0 to 9 do
if Y # M and Y # S and Y # E and Y # N and Y # D and Y # O and Y # R then
if 1000*(S+M) + 100*(E+O) + 10*(N+R) + D + E = 10_000*M + 1000*O + 100*N + 10*E + Y then
Print("%d%d%d%d + %d%d%d%d = %d%d%d%d%d\n", S, E, N, D, M, O, R, E, M, O, N, E, Y);
end</syntaxhighlight>
{{out}}
<pre>
9567 + 1085 = 10652
</pre>
| |||