Sum of the digits of n is substring of n: Difference between revisions

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;Task:
Find and show numbers &nbsp; '''n''' &nbsp; with property that the sum of the decimal digits of &nbsp; '''n''' &nbsp; is substring of &nbsp; '''n''', &nbsp; where &nbsp; '''n <&nbsp; 1000&lt; &nbsp; 1,000'''
 
 
{{Template:Strings}}
<br><br>
 
=={{header|11l}}==
{{trans|Python}}
{{trans|Nim}}
 
<syntaxhighlight lang="11l">V count = 0
L(n) 1000
I String(sum(String(n).map(Int))) C String(n)
count++
print(f:‘{n:3}’, end' I count % 8 == 0 {"\n"} E ‘ ’)</syntaxhighlight>
 
{{out}}
<pre>
0 1 2 3 4 5 6 7
8 9 10 20 30 40 50 60
70 80 90 100 109 119 129 139
149 159 169 179 189 199 200 300
400 500 600 700 800 900 910 911
912 913 914 915 916 917 918 919
</pre>
 
=={{header|8080 Assembly}}==
<syntaxhighlight lang="8080asm">puts: equ 9
org 100h
lxi h,-1 ; Number
loop: inx h
push h ; Keep number
lxi d,-1000 ; Are we there yet?
dad d
pop d
rc ; If so, stop
push d ; Keep number
lxi h,buf0
call digits ; Get digits
push h ; Keep pointer to digits
call dgsum ; Sum digits
lxi h,buf1
call digits ; Get digits for sum
pop d ; Retrieve pointer to digits of original
push d
call find ; Does the original contain the sum of the digits?
pop d ; Retrieve digit pointer
pop h ; And number
jc loop ; If the sum of the digits is not found, try next
push h
call print ; Otherwise, print it
pop h
jmp loop
;;; Find digits of number in DE, store at HL.
;;; Beginning of string returned in HL.
digits: lxi b,-10 ; Divisor
mvi m,'$' ; String terminator
push h ; Output pointer on stack
digit: xchg ; Number in HL
lxi d,-1 ; Quotient
dgtdiv: inx d ; Trial subtaction
dad b
jc dgtdiv
mvi a,10 ; Calculate value of digit
add l
pop h ; Store digit
dcx h
mov m,a
push h
mov a,d ; Done?
ora e
jnz digit ; If not, find next digit
pop h ; Remove pointer from stack
ret
;;; Calculate sum of digits starting at HL
dgsum: lxi d,0
dgloop: mov a,m
cpi '$'
rz
add e
mov e,a
inx h
jmp dgloop
;;; See if the string at DE contains the string at HL
find: ldax d ; Load character from haystack
cpi '$' ; Reached the end?
stc ; Then it is not found
rz
push d ; Save pointers
push h
xchg ; Swap pointers
floop: ldax d ; Load character from needle
cpi '$' ; Reached the end?
jz found ; Then we found it
cmp m ; Compare to haystack
inx h ; Increment the pointers
inx d
jz floop ; If equal, keep going
pop h ; Restore pointers
pop d
inx d ; Try next position
jmp find
found: pop h ; Clean up stack
pop d
ret
;;; Print number
print: push d
ploop: ldax d
cpi '$'
jz pdone
adi '0'
stax d
inx d
jmp ploop
pdone: xchg
mvi m,13
inx h
mvi m,10
inx h
mvi m,'$'
pop d
mvi c,puts
jmp 5
buf0: equ $+32
buf1: equ $+64</syntaxhighlight>
{{out}}
<pre style='height:50ex;'>0
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=={{header|Action!}}==
<syntaxhighlight lang="action!">INT FUNC SumDigits(INT num)
INT res,a
 
res=0
WHILE num#0
DO
res==+num MOD 10
num=num/10
OD
RETURN (res)
 
BYTE Func IsValidNumber(INT num)
CHAR ARRAY s(5),sub(5)
INT sum,v,len,start
 
sum=SumDigits(num)
StrI(num,s)
FOR len=1 TO s(0)
DO
FOR start=1 TO s(0)-len+1
DO
SCopyS(sub,s,start,start+len-1)
IF ValI(sub)=sum THEN
RETURN (1)
FI
OD
OD
RETURN (0)
 
PROC Main()
INT i,count=[0]
 
FOR i=0 TO 999
DO
IF IsValidNumber(i) THEN
PrintI(i) Put(32)
count==+1
FI
OD
PrintF("%E%EThere are %I numbers",count)
RETURN</syntaxhighlight>
{{out}}
[https://gitlab.com/amarok8bit/action-rosetta-code/-/raw/master/images/Sum_of_the_digits_of_n_is_substring_of_n.png Screenshot from Atari 8-bit computer]
<pre>
0 1 2 3 4 5 6 7 8 9 10 20 30 40 50 60 70 80 90 100 109 119 129 139 149 159 169 179
189 199 200 300 400 500 600 700 800 900 910 911 912 913 914 915 916 917 918 919
 
There are 48 numbers
</pre>
 
=={{header|ALGOL 68}}==
ALGOL 68G has the procedure "string in string" in the prelude, for other compilers, a version is available here: [[ALGOL_68/prelude]].
<langsyntaxhighlight lang="algol68">BEGIN # find n where the sum of the digits is a substring of the representaton of n #
INT max number = 1 000;
INT n count := 0;
Line 24 ⟶ 247:
FI
OD
END</langsyntaxhighlight>
{{out}}
<pre>
0 1 2 3 4 5 6 7
8 9 10 20 30 40 50 60
70 80 90 100 109 119 129 139
149 159 169 179 189 199 200 300
400 500 600 700 800 900 910 911
912 913 914 915 916 917 918 919
</pre>
 
=={{header|ALGOL-M}}==
<syntaxhighlight lang="algolm">begin
integer function mod(a,b);
integer a,b;
mod := a-a/b*b;
 
integer function digitsum(n);
integer n;
digitsum :=
if n=0 then 0
else mod(n,10) + digitsum(n/10);
 
integer function chop(n);
integer n;
begin
integer i;
i := 1;
while i<n do i := i * 10;
i := i/10;
chop := if i=0 then 0 else mod(n, i);
end;
 
integer function infix(n,h);
integer n,h;
begin
integer pfx, sfx, r;
r := if n=h then 1 else 0;
pfx := h;
while pfx <> 0 do
begin
sfx := pfx;
while sfx <> 0 do
begin
if sfx = n then
begin
r := 1;
go to stop;
end;
sfx := chop(sfx);
end;
pfx := pfx/10;
end;
stop:
infix := r;
end;
 
integer i, n, d;
n := 0;
for i := 0 step 1 until 999 do
begin
d := digitsum(i);
if infix(d, i) = 1 then
begin
if (n-1)/10 <> n/10 then write(i)
else writeon(i);
n := n + 1;
end;
end;
end</syntaxhighlight>
{{out}}
<pre> 0 1 2 3 4 5 6 7 8 9
10 20 30 40 50 60 70 80 90 100
109 119 129 139 149 159 169 179 189 199
200 300 400 500 600 700 800 900 910 911
912 913 914 915 916 917 918 919</pre>
 
=={{header|ALGOL W}}==
<syntaxhighlight lang="algolw">begin % find numbers n, where the sum of the digits is a substring of n %
% returns true if the digits of s contains the digits of t, false otherwise %
logical procedure containsDigits( integer value s, t ) ;
if s = t then true
else begin
integer tPower, v, u;
logical isContained;
% find the lowest power of 10 that is greater then t %
tPower := 10;
v := abs t;
while v > 9 do begin
tPower := tPower * 10;
v := v div 10
end while_v_gt_9 ;
isContained := false;
v := abs t;
u := abs s;
while not isContained and u > 0 do begin
isContained := ( u rem tPower ) = v;
u := u div 10
end while_not_isContained_and_u_gt_0 ;
isContained
end containsDigits ;
% find and show the matching numbers up to 1000 %
integer nCount;
nCount := 0;
for n := 0 until 999 do begin
integer dSum, v;
dSum := 0;
v := n;
while v > 0 do begin
dSum := dSum + ( v rem 10 );
v := v div 10
end while_v_gt_0 ;
if containsDigits( n, dSum ) then begin
writeon( i_w := 5, s_w := 0, n );
nCount := nCount + 1;
if nCount rem 8 = 0 then write()
end if_n_contains_dSum
end for_n
end.</syntaxhighlight>
{{out}}
<pre>
Line 37 ⟶ 378:
=={{header|APL}}==
{{works with|Dyalog APL}}
<langsyntaxhighlight APLlang="apl">(⊢(/⍨)(∨/⍕∘(+/(⍎¨⍕))⍷⍕)¨)0,⍳999</langsyntaxhighlight>
{{out}}
<pre>0 1 2 3 4 5 6 7 8 9 10 20 30 40 50 60 70 80 90 100 109 119 129 139 149 159 169 179 189 199 200 300 400 500 600 700 800 900
910 911 912 913 914 915 916 917 918 919</pre>
 
=={{header|Arturo}}==
 
<syntaxhighlight lang="rebol">print select 1..999 'num ->
contains? to :string num
to :string sum digits num</syntaxhighlight>
 
{{out}}
 
<pre>1 2 3 4 5 6 7 8 9 10 20 30 40 50 60 70 80 90 100 109 119 129 139 149 159 169 179 189 199 200 300 400 500 600 700 800 900 910 911 912 913 914 915 916 917 918 919</pre>
 
=={{header|AutoHotkey}}==
<syntaxhighlight lang="autohotkey">result := "", cntr := 1
loop 1000{
n := A_Index-1, sum := 0
for i, v in StrSplit(n)
sum += v
if InStr(n, sum){
result .= n (mod(cntr, 8)?"`t":"`n")
if (++cntr = 50)
break
}
}
MsgBox % result</syntaxhighlight>
{{out}}
<pre>0 1 2 3 4 5 6 7
8 9 10 20 30 40 50 60
70 80 90 100 109 119 129 139
149 159 169 179 189 199 200 300
400 500 600 700 800 900 910 911
912 913 914 915 916 917 918 919</pre>
 
=={{header|AWK}}==
<syntaxhighlight lang="awk">
# syntax: GAWK -f SUM_OF_THE_DIGITS_OF_N_IS_SUBSTRING_OF_N.AWK
BEGIN {
start = 0
stop = 999
for (i=start; i<=stop; i++) {
if (i ~ ""sum_digits(i)) { # TAWK needs the ""
printf("%4d%1s",i,++count%10?"":"\n")
}
}
printf("\nSum of the digits of n is substring of n %d-%d: %d\n",start,stop,count)
exit(0)
}
function sum_digits(n, i,sum) {
for (i=1; i<=length(n); i++) {
sum += substr(n,i,1)
}
return(sum)
}
</syntaxhighlight>
{{out}}
<pre>
0 1 2 3 4 5 6 7 8 9
10 20 30 40 50 60 70 80 90 100
109 119 129 139 149 159 169 179 189 199
200 300 400 500 600 700 800 900 910 911
912 913 914 915 916 917 918 919
Sum of the digits of n is substring of n 0-999: 48
</pre>
 
=={{header|BASIC}}==
<langsyntaxhighlight lang="basic">10 DEFINT I,J,K
20 FOR I=0 TO 999
30 J=0: K=I
40 IF K>0 THEN J=J+IK MOD 10: K=K\10: GOTO 40
5041 IF INSTR(I$=STR$(I),STR: I$=RIGHT$(J)) THEN PRINT I$,LEN(I$)-1)
42 J$=STR$(J): J$=RIGHT$(J$,LEN(J$)-1)
60 NEXT I</lang>
50 IF INSTR(I$,J$) THEN PRINT I,
60 NEXT I</syntaxhighlight>
{{out}}
<pre> 0 1 2 3 4
5 6 7 8 9
2110 4220 6330 8440 12450
15560 186 70 217 80 248 90 279 100
301109 311119 321129 331139 341149
351159 361169 371179 381189 391199
602200 612300 622400 632500 642600
652700 662800 672900 682910 692911
903912 913 923914 933915 943916
953917 963918 973 983 993</pre>919
</pre>
 
=={{header|BCPL}}==
<syntaxhighlight lang="bcpl">get "libhdr"
 
let dsum(n) = n=0 -> 0, n rem 10 + dsum(n/10)
 
let chop(n) = valof
$( let i=1
while i<n do i := i * 10
i := i / 10
resultis i=0 -> 0, n rem i
$)
 
let infix(n,h) =
n = h -> true,
h = 0 -> false,
infix(n,h/10) -> true,
infix(n,chop(h)) -> true,
false
 
let start() be
$( let c=0
for i=0 to 999 do
$( if infix(dsum(i),i) then
$( writef("%I5",i)
c := c + 1
if c rem 10=0 then wrch('*N')
$)
$)
wrch('*N')
$)</syntaxhighlight>
{{out}}
<pre> 0 1 2 3 4 5 6 7 8 9
10 20 30 40 50 60 70 80 90 100
109 119 129 139 149 159 169 179 189 199
200 300 400 500 600 700 800 900 910 911
912 913 914 915 916 917 918 919</pre>
 
=={{header|BQN}}==
<syntaxhighlight lang="bqn">DigitSum ← +´•Fmt-'0'˙
Contains ← (∨´⍷˜ )○•Fmt
∘‿6⥊ (⊢ Contains DigitSum)¨⊸/↕1000</syntaxhighlight>
{{out}}
<pre>┌─
╵ 0 1 2 3 4 5
6 7 8 9 10 20
30 40 50 60 70 80
90 100 109 119 129 139
149 159 169 179 189 199
200 300 400 500 600 700
800 900 910 911 912 913
914 915 916 917 918 919
┘</pre>
=={{header|C}}==
<langsyntaxhighlight lang="c">#include <stdio.h>
#include <string.h>
 
Line 86 ⟶ 544:
return 0;
}</langsyntaxhighlight>
{{out}}
<pre>0 1 2 3 4 5 6 7 8 9 10 20 30 40 50 60 70 80 90 100 109 119 129 139 149 159 169 179 189 199 200 300 400 500 600 700 800 900 910 911 912 913 914 915 916 917 918 919</pre>
 
=={{header|C++}}==
<langsyntaxhighlight lang="cpp">#include <iostream>
 
int digitSum(int n) {
Line 109 ⟶ 567:
std::cout << std::endl;
return 0;
}</langsyntaxhighlight>
{{out}}
<pre>0 1 2 3 4 5 6 7 8 9 10 20 30 40 50 60 70 80 90 100 109 119 129 139 149 159 169 179 189 199 200 300 400 500 600 700 800 900 910 911 912 913 914 915 916 917 918 919</pre>
=={{header|CLU}}==
<syntaxhighlight lang="clu">digit_sum = proc (n: int) returns (int)
sum: int := 0
while n > 0 do
sum := sum + n // 10
n := n / 10
end
return (sum)
end digit_sum
 
digit_sum_is_substring = proc (n: int) returns (bool)
n_str: string := int$unparse(n)
ds_str: string := int$unparse(digit_sum(n))
return (string$indexs(ds_str, n_str) ~= 0)
end digit_sum_is_substring
 
match_range = iter (from, to: int, p: proctype (int) returns (bool))
yields (int)
for i: int in int$from_to(from,to) do
if p(i) then yield(i) end
end
end match_range
 
start_up = proc ()
po: stream := stream$primary_output()
col: int := 0
for i: int in match_range(0, 999, digit_sum_is_substring) do
stream$putright(po, int$unparse(i), 4)
col := col + 1
if col // 10 = 0 then stream$putc(po, '\n') end
end
end start_up</syntaxhighlight>
{{out}}
<pre> 0 1 2 3 4 5 6 7 8 9
10 20 30 40 50 60 70 80 90 100
109 119 129 139 149 159 169 179 189 199
200 300 400 500 600 700 800 900 910 911
912 913 914 915 916 917 918 919</pre>
 
=={{header|COBOL}}==
<syntaxhighlight lang="cobol"> IDENTIFICATION DIVISION.
PROGRAM-ID. SUM-SUBSTRING.
DATA DIVISION.
WORKING-STORAGE SECTION.
01 CALCULATION.
02 N PIC 9999.
02 X PIC 9.
02 DSUM PIC 99.
02 N-DIGITS REDEFINES N.
03 ND PIC 9 OCCURS 4 TIMES.
02 S-DIGITS REDEFINES DSUM.
03 SUMD PIC 9 OCCURS 2 TIMES.
01 OUTPUT-FORMAT.
02 N-OUT PIC ZZZ9.
PROCEDURE DIVISION.
BEGIN.
PERFORM TESTNUMBER VARYING N FROM 0 BY 1
UNTIL N IS EQUAL TO 1000.
STOP RUN.
TESTNUMBER SECTION.
BEGIN.
PERFORM SUM-DIGITS.
SET X TO 1.
IF DSUM IS LESS THAN 10 GO TO ONE-DIGIT-CHECK.
TWO-DIGIT-CHECK.
IF X IS GREATER THAN 3 GO TO DONE.
IF ND(X) = SUMD(1) AND ND(X + 1) = SUMD(2) GO TO SHOW.
ADD 1 TO X.
GO TO TWO-DIGIT-CHECK.
ONE-DIGIT-CHECK.
IF X IS GREATER THAN 4 GO TO DONE.
IF ND(X) = SUMD(2) GO TO SHOW.
ADD 1 TO X.
GO TO ONE-DIGIT-CHECK.
SHOW.
MOVE N TO N-OUT.
DISPLAY N-OUT.
DONE. EXIT.
SUM-DIGITS SECTION.
BEGIN.
SET DSUM TO 0.
SET X TO 1.
LOOP.
ADD ND(X) TO DSUM.
ADD 1 TO X.
IF X IS LESS THAN 5 GO TO LOOP.</syntaxhighlight>
{{out}}
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=={{header|Comal}}==
<syntaxhighlight lang="comal">0010 FUNC digit'sum#(n#) CLOSED
0020 sum#:=0
0030 WHILE n# DO sum#:+n# MOD 10;n#:=n# DIV 10
0040 RETURN sum#
0050 ENDFUNC digit'sum#
0060 //
0070 col#:=0
0080 ZONE 4
0090 FOR i#:=0 TO 999 DO
0100 IF STR$(digit'sum#(i#)) IN STR$(i#) THEN
0110 PRINT i#,
0120 col#:+1
0130 IF col# MOD 15=0 THEN PRINT
0140 ENDIF
0150 ENDFOR i#
0160 PRINT
0170 END</syntaxhighlight>
{{out}}
<pre>0 1 2 3 4 5 6 7 8 9 10 20 30 40 50
60 70 80 90 100 109 119 129 139 149 159 169 179 189 199
200 300 400 500 600 700 800 900 910 911 912 913 914 915 916
917 918 919</pre>
 
=={{header|Cowgol}}==
<langsyntaxhighlight lang="cowgol">include "cowgol.coh";
 
sub digitSum(n: uint16): (s: uint16) is
Line 156 ⟶ 782:
i := i + 1;
end loop;
print_nl();</langsyntaxhighlight>
{{out}}
<pre>0 1 2 3 4 5 6 7 8 9 10 20 30 40 50 60 70 80 90 100 109 119 129 139 149 159 169 179 189 199 200 300 400 500 600 700 800 900 910 911 912 913 914 915 916 917 918 919</pre>
 
=={{header|D}}==
{{trans|C++}}
<syntaxhighlight lang="d">import std.algorithm;
import std.conv;
import std.stdio;
 
int digitSum(int n) {
int s = 0;
do {
s += n % 10;
} while (n /= 10);
return s;
}
 
void main() {
foreach (i; 0 .. 1000) {
if (i.to!string.canFind(digitSum(i).to!string)) {
write(i, ' ');
}
}
writeln;
}</syntaxhighlight>
{{out}}
<pre>0 1 2 3 4 5 6 7 8 9 10 20 30 40 50 60 70 80 90 100 109 119 129 139 149 159 169 179 189 199 200 300 400 500 600 700 800 900 910 911 912 913 914 915 916 917 918 919</pre>
 
=={{header|Delphi}}==
{{works with|Delphi|6.0}}
{{libheader|SysUtils,StdCtrls}}
 
 
<syntaxhighlight lang="Delphi">
 
 
{This code would normally be in a library, but is included here for clarity}
 
procedure GetDigits(N: integer; var IA: TIntegerDynArray);
{Get an array of the integers in a number}
{Numbers returned from least to most significant}
var T,I,DC: integer;
begin
DC:=Trunc(Log10(N))+1;
SetLength(IA,DC);
for I:=0 to DC-1 do
begin
T:=N mod 10;
N:=N div 10;
IA[I]:=T;
end;
end;
 
 
procedure SumDigitsSubstring(Memo: TMemo);
var N,J,Cnt,Sum: integer;
var Dg: TIntegerDynArray;
var NS,SS,S: string;
begin
S:='';
Cnt:=0;
for N:=0 to 1000-1 do
begin
GetDigits(N,Dg);
Sum:=0;
for J:=0 to High(Dg) do
Sum:=Sum+Dg[J];
NS:=IntToStr(N);
SS:=IntToStr(Sum);
if Pos(SS,NS)>0 then
begin
Inc(Cnt);
S:=S+Format('%4d',[N]);
if (Cnt mod 10)=0 then S:=S+CRLF;
end;
end;
Memo.Lines.Add(S);
end;
 
 
 
</syntaxhighlight>
{{out}}
<pre>
0 1 2 3 4 5 6 7 8 9
10 20 30 40 50 60 70 80 90 100
109 119 129 139 149 159 169 179 189 199
200 300 400 500 600 700 800 900 910 911
912 913 914 915 916 917 918 919
 
Elapsed Time: 1.433 ms.
 
</pre>
 
 
=={{header|Draco}}==
<syntaxhighlight lang="draco">\util.g
 
proc nonrec digit_sum(word n) word:
word sum;
sum := 0;
while n ~= 0 do
sum := sum + n % 10;
n := n / 10;
od;
sum
corp
 
proc nonrec itoa(word n; *char buf) void:
channel output text ch;
open(ch, buf);
write(ch; n);
close(ch)
corp
 
proc nonrec digit_sum_is_substring(word n) bool:
[10] char dstr, dsub;
itoa(n, &dstr[0]);
itoa(digit_sum(n), &dsub[0]);
CharsIndex(&dstr[0], &dsub[0]) ~= -1
corp
 
proc nonrec main() void:
word i, seen;
seen := 0;
for i from 0 upto 999 do
if digit_sum_is_substring(i) then
write(i:4);
seen := seen + 1;
if seen % 20 = 0 then writeln() fi
fi
od
corp</syntaxhighlight>
{{out}}
<pre> 0 1 2 3 4 5 6 7 8 9 10 20 30 40 50 60 70 80 90 100
109 119 129 139 149 159 169 179 189 199 200 300 400 500 600 700 800 900 910 911
912 913 914 915 916 917 918 919</pre>
 
=={{header|F_Sharp|F#}}==
<syntaxhighlight lang="fsharp">
// Sum digits of n is substring of n: Nigel Galloway. April 16th., 2021
let rec fG n g=match (n/10,n%(if g<10 then 10 else 100)) with (_,n) when n=g->true |(0,_)->false |(n,_)->fG n g
let rec fN g=function n when n<10->n+g |n->fN(g+n%10)(n/10)
{1..999}|>Seq.filter(fun n->fG n (fN 0 n))|>Seq.iter(printf "%d "); printfn ""
</syntaxhighlight>
{{out}}
<pre>
1 2 3 4 5 6 7 8 9 10 20 30 40 50 60 70 80 90 100 109 119 129 139 149 159 169 179 189 199 200 300 400 500 600 700 800 900 910 911 912 913 914 915 916 917 918 919
Real: 00:00:00.003
</pre>
 
=={{header|Factor}}==
{{works with|Factor|0.99 2021-02-05}}
<langsyntaxhighlight lang="factor">USING: grouping kernel math.text.utils present prettyprint
sequences ;
 
1000 <iota>
[ [ 1 digit-groups sum present ] [ present ] bi subseq? ] filter
8 group simple-table.</langsyntaxhighlight>
{{out}}
<pre>
Line 176 ⟶ 950:
400 500 600 700 800 900 910 911
912 913 914 915 916 917 918 919
</pre>
 
=={{header|Fermat}}==
No string conversion.
<syntaxhighlight lang="fermat">Func Digsum(n, b) =
ds:=0; {digital sum of n in base b}
while n>0 do
ds:+(n|b);
n:=n\b;
od;
ds.;
 
Func Numdig(n, b) =
nd:=0; {number of digits of n in base b}
while n > 0 do
nd:+;
n:=n\b;
od;
nd.;
 
for n = 1 to 999 do
ds:=Digsum(n, 10); {digital sum of n}
nd:=Numdig(ds, 10); {how many digits does the digital sum itself have?}
nt:=n; {temporary copy of n}
while nt>0 do
if ds=(nt|(10^(nd))) then
!!n; {if the last nt digits of n are the digital sum, print and exit the loop}
&>;
fi;
nt:=nt\10;
od;
od;</syntaxhighlight>
{{out}}<pre>
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60
70
80
90
100
109
119
129
139
149
159
169
179
189
199
200
300
400
500
600
700
800
900
910
911
912
913
914
915
916
917
918
919
</pre>
 
=={{header|FOCAL}}==
<langsyntaxhighlight lang="focal">01.10 F N=0,999;D 2;D 4
01.20 Q
 
Line 203 ⟶ 1,057:
04.70 I (P)4.2,4.8,4.2
04.80 R
04.90 T %3,N,!</langsyntaxhighlight>
{{out}}
<pre style='height:50ex;'>= 0
Line 253 ⟶ 1,107:
= 918
= 919</pre>
 
=={{header|FreeBASIC}}==
<langsyntaxhighlight lang="freebasic">function is_substring( s as string, j as string ) as boolean
dim as integer nj = len(j), ns = len(s)
for i as integer = 1 to ns - nj + 1
Line 273 ⟶ 1,128:
for i as uinteger = 0 to 999
if is_substring( str(i), str(sumdig(i))) then print i;" ";
next i : print : end</langsyntaxhighlight>
{{out}}<pre>0 1 2 3 4 5 6 7 8 9 10 20 30 40 50 60 70 80 90 100 109 119 129 139 149 159 169 179 189 199 200 300 400 500 600 700 800 900 910 911 912 913 914 915 916 917 918 919</pre>
 
=={{header|Fōrmulæ}}==
 
{{FormulaeEntry|page=https://formulae.org/?script=examples/Sum_of_the_digits_of_n_is_substring_of_n}}
 
'''Solution'''
 
[[File:Fōrmulæ - Sum of the digits of n is substring of n 01.png]]
 
[[File:Fōrmulæ - Sum of the digits of n is substring of n 02.png]]
 
=={{header|Go}}==
{{trans|Wren}}
{{libheader|Go-rcu}}
<langsyntaxhighlight lang="go">package main
 
import (
Line 300 ⟶ 1,165:
fmt.Println()
fmt.Println(len(numbers), "such numbers found.")
}</langsyntaxhighlight>
 
{{out}}
Line 316 ⟶ 1,181:
 
=={{header|Haskell}}==
<langsyntaxhighlight lang="haskell">import Data.Char (digitToInt)
import Data.List (isInfixOf)
import Data.List.Split (chunksOf)
Line 351 ⟶ 1,216:
 
justifyRight :: Int -> Char -> String -> String
justifyRight n c = (drop . length) <*> (replicate n c <>)</langsyntaxhighlight>
{{Out}}
<pre>48 matches in [0..999]
Line 401 ⟶ 1,266:
 
=={{header|J}}==
<langsyntaxhighlight lang="j">([#~(":+./@E.~[:":+/@(10&#.^:_1))"0)i.999</langsyntaxhighlight>
{{out}}
<pre>0 1 2 3 4 5 6 7 8 9 10 20 30 40 50 60 70 80 90 100 109 119 129 139 149 159 169 179 189 199 200 300 400 500 600 700 800 900 910 911 912 913 914 915 916 917 918 919</pre>
 
=={{header|jq}}==
{{works with|jq}}
'''Works with gojq, the Go implementation of jq'''
<syntaxhighlight lang="jq">
def sum_of_digits_is_substring:
tostring
| . as $s
| (explode | map([.]|implode))
| (map(tonumber)|add|tostring) as $ss
| $s | index($ss);
 
[range(0;1000) | select(sum_of_digits_is_substring)]</syntaxhighlight>
{{out}}
<pre>
[0,1,2,3,4,5,6,7,8,9,10,20,30,40,50,60,70,80,90,100,109,119,129,139,149,159,169,179,189,199,200,300,400,500,600,700,800,900,910,911,912,913,914,915,916,917,918,919]
</pre>
 
=={{header|Julia}}==
<langsyntaxhighlight lang="julia">issumsub(n, base=10) = occursin(string(sum(digits(n, base=base)), base=base), string(n, base=base))
 
foreach(p -> print(rpad(p[2], 4), p[1] % 10 == 0 ? "\n" : ""), enumerate(filter(issumsub, 0:999)))
</langsyntaxhighlight>{{out}}
<pre>
0 1 2 3 4 5 6 7 8 9
Line 417 ⟶ 1,299:
912 913 914 915 916 917 918 919
</pre>
 
=={{header|Kotlin}}==
{{trans|Go}}
<syntaxhighlight lang="scala">fun digitSum(n: Int): Int {
var nn = n
var sum = 0
while (nn > 0) {
sum += (nn % 10)
nn /= 10
}
return sum
}
 
fun main() {
var c = 0
for (i in 0 until 1000) {
val ds = digitSum(i)
if (i.toString().contains(ds.toString())) {
print("%3d ".format(i))
 
c += 1
if (c == 8) {
println()
c = 0
}
}
}
println()
}</syntaxhighlight>
{{out}}
<pre> 0 1 2 3 4 5 6 7
8 9 10 20 30 40 50 60
70 80 90 100 109 119 129 139
149 159 169 179 189 199 200 300
400 500 600 700 800 900 910 911
912 913 914 915 916 917 918 919 </pre>
 
=={{header|MAD}}==
<langsyntaxhighlight MADlang="mad"> NORMAL MODE IS INTEGER
INTERNAL FUNCTION(A,B)
Line 472 ⟶ 1,390:
 
VECTOR VALUES FMT = $I3*$
END OF PROGRAM </langsyntaxhighlight>
{{out}}
<pre style='height:50ex;'> 0
Line 522 ⟶ 1,440:
918
919</pre>
 
=={{header|Mathematica}}/{{header|Wolfram Language}}==
<syntaxhighlight lang="mathematica">ClearAll[SumAsSubString]
SumAsSubString[n_Integer] := Module[{id, s},
id = IntegerDigits[n];
s = Total[id];
SequenceCount[id, IntegerDigits[s]] > 0
]
Select[Range[999], SumAsSubString]</syntaxhighlight>
{{out}}
<pre>{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 109, 119, 129, 139, 149, 159, 169, 179, 189, 199, 200, 300, 400, 500, 600, 700, 800, 900, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919}</pre>
 
=={{header|Miranda}}==
<syntaxhighlight lang="miranda">main :: [sys_message]
main = [Stdout (table 5 10 taskresults)]
where taskresults = filter digit_sum_is_substring [0..999]
 
table :: num->num->[num]->[char]
table cw w ns = lay (map concat (split (map fmt ns)))
where split [] = []
split ls = take w ls : split (drop w ls)
fmt n = reverse (take cw ((reverse (shownum n)) ++ repeat ' '))
 
digit_sum_is_substring :: num->bool
digit_sum_is_substring n = (digitsum n) $infix n
 
digitsum :: num->num
digitsum 0 = 0
digitsum n = n mod 10 + digitsum (n div 10)
 
infix :: num->num->bool
infix n h = True, if n = h
= False, if h = 0
= True, if n $infix (h div 10)
= True, if n $infix (chop h)
= False, otherwise
 
chop :: num->num
chop n = 0, if n<10
= n mod mask, otherwise
where mask = last (takewhile (<n) (iterate (*10) 1))</syntaxhighlight>
{{out}}
<pre> 0 1 2 3 4 5 6 7 8 9
10 20 30 40 50 60 70 80 90 100
109 119 129 139 149 159 169 179 189 199
200 300 400 500 600 700 800 900 910 911
912 913 914 915 916 917 918 919</pre>
 
=={{header|Nim}}==
<syntaxhighlight lang="nim">import strutils
 
func digitsum(n: Natural): int =
if n == 0: return 0
var n = n
while n != 0:
result += n mod 10
n = n div 10
 
var count = 0
for n in 0..<1000:
let sn = $n
if $digitsum(n) in sn:
inc count
stdout.write sn.align(3), if count mod 8 == 0: '\n' else: ' '</syntaxhighlight>
 
{{out}}
<pre> 0 1 2 3 4 5 6 7
8 9 10 20 30 40 50 60
70 80 90 100 109 119 129 139
149 159 169 179 189 199 200 300
400 500 600 700 800 900 910 911
912 913 914 915 916 917 918 919</pre>
 
=={{header|Perl}}==
as one-liner ..
<syntaxhighlight lang="perl">// 20210415 Perl programming solution
 
perl -e 'for(0..999){my$n;s/(\d)/$n+=$1/egr;print"$_ "if/$n/}'</syntaxhighlight>
{{out}}
<pre>
0 1 2 3 4 5 6 7 8 9 10 20 30 40 50 60 70 80 90 100 109 119 129 139 149 159 169 179 189 199 200 300 400 500 600 700 800 900 910 911 912 913 914 915 916 917 918 919
</pre>
 
=={{header|Phix}}==
<!--<langsyntaxhighlight Phixlang="phix">(phixonline)-->
<span style="color: #008080;">function</span> <span style="color: #000000;">sdn</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">string</span> <span style="color: #000000;">sn</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">sprint</span><span style="color: #0000FF;">(</span><span style="color: #000000;">n</span><span style="color: #0000FF;">)</span>
Line 533 ⟶ 1,533:
<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;">"Found %d such numbers &lt; %d: %s\n"</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: #000000;">n</span><span style="color: #0000FF;">+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">join</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">shorten</span><span style="color: #0000FF;">(</span><span style="color: #000000;">res</span><span style="color: #0000FF;">,</span><span style="color: #008000;">""</span><span style="color: #0000FF;">,</span><span style="color: #000000;">5</span><span style="color: #0000FF;">),</span><span style="color: #008000;">", "</span><span style="color: #0000FF;">)})</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<!--</langsyntaxhighlight>-->
{{out}}
<pre>
Line 539 ⟶ 1,539:
Found 365 such numbers < 10001: 0, 1, 2, 3, 4, ..., 9926, 9927, 9928, 9929, 10000
</pre>
 
=={{header|PL/I}}==
<syntaxhighlight lang="pli">sumOfDigitsIsSubstring: procedure options(main);
digitSum: procedure(n) returns(fixed);
declare (ds, x, n) fixed;
ds = 0;
do x=n repeat(x/10) while(x>0);
ds = ds + mod(x, 10);
end;
return(ds);
end digitSum;
chop: procedure(n) returns(fixed);
declare (i, n) fixed;
i = 1;
do while(i<n);
i = i * 10;
end;
i = i/10;
if i=0 then return(0);
else return(mod(n, i));
end chop;
infix: procedure(n, h) returns(bit) recursive;
declare (n, h) fixed;
if n=h then return('1'b);
if h=0 then return('0'b);
if infix(n, h/10) then return('1'b);
return(infix(n, chop(h)));
end infix;
declare (i, col) fixed;
col = 0;
do i=0 to 999;
if infix(digitSum(i), i) then do;
put edit(i) (F(5));
col = col + 1;
if mod(col, 10)=0 then put skip;
end;
end;
put skip;
end sumOfDigitsIsSubstring;</syntaxhighlight>
{{out}}
<pre> 0 1 2 3 4 5 6 7 8 9
10 20 30 40 50 60 70 80 90 100
109 119 129 139 149 159 169 179 189 199
200 300 400 500 600 700 800 900 910 911
912 913 914 915 916 917 918 919</pre>
 
=={{header|PL/M}}==
<langsyntaxhighlight lang="plm">100H:
DIGIT$SUM: PROCEDURE (N) BYTE;
DECLARE N ADDRESS, SUM BYTE;
Line 613 ⟶ 1,661:
 
CALL BDOS(0,0);
EOF</langsyntaxhighlight>
{{out}}
<pre>0 1 2 3 4 5 6 7 8 9 10 20 30 40 50 60 70 80 90 100 109 119 129 139 149 159 169 179 189 199 200 300 400 500 600 700 800 900 910 911 912 913 914 915 916 917 918 919</pre>
Line 620 ⟶ 1,668:
Just using the command line:
 
<langsyntaxhighlight lang="python">Python 3.9.0 (tags/v3.9.0:9cf6752, Oct 5 2020, 15:34:40) [MSC v.1927 64 bit (AMD64)] on win32
Type "help", "copyright", "credits" or "license()" for more information.
>>> x = [n for n in range(1000) if str(sum(int(d) for d in str(n))) in str(n)]
Line 632 ⟶ 1,680:
200, 300, 400, 500, 600, 700, 800, 900, 910, 911
912, 913, 914, 915, 916, 917, 918, 919
>>> </langsyntaxhighlight>
 
 
or as a full script, taking an alternative route, and slightly reducing the number of str conversions required:
 
<langsyntaxhighlight lang="python">'''Sum of the digits of n is substring of n'''
 
from functools import reduce
Line 710 ⟶ 1,758:
if __name__ == '__main__':
main()
</syntaxhighlight>
</lang>
{{Out}}
<pre>48 matches < 1000:
Line 719 ⟶ 1,767:
200 300 400 500 600 700 800 900 910 911
912 913 914 915 916 917 918 919</pre>
 
=={{header|Quackery}}==
 
<syntaxhighlight lang="Quackery"> [ over findseq swap found ] is hasseq ( [ [ --> b )
 
[ [] swap
[ 10 /mod
rot join swap
dup 0 = until ]
drop ] is digits ( n --> [ )
 
[ digits
0 over witheach +
digits hasseq ] is subsum ( n --> b )
 
[] 1000 times
[ i^ subsum if
[ i^ join ] ]
dup echo
cr cr
say "There are " size echo say " numbers."</syntaxhighlight>
 
{{out}}
 
<pre>[ 0 1 2 3 4 5 6 7 8 9 10 20 30 40 50 60 70 80 90 100 109 119 129 139 149 159 169 179 189 199 200 300 400 500 600 700 800 900 910 911 912 913 914 915 916 917 918 919 ]
 
There are 48 numbers.</pre>
 
=={{header|Raku}}==
<syntaxhighlight lang="raku" perl6line>say "{+$_} matching numbers\n{.batch(10)».fmt('%3d').join: "\n"}" given (^1000).grep: { .contains: .comb.sum }</langsyntaxhighlight>
{{out}}
<pre>48 matching numbers
Line 729 ⟶ 1,804:
200 300 400 500 600 700 800 900 910 911
912 913 914 915 916 917 918 919</pre>
 
=={{header|Refal}}==
<syntaxhighlight lang="refal">$ENTRY Go {
= <Table (8 5) <Filter DigitSumSubstring <Iota 0 999>>>;
};
 
Cell {
s.W s.N, <Repeat s.W ' '> <Symb s.N>: e.C,
<Last s.W e.C>: (e.X) e.CI = e.CI;
}
 
Table {
(s.Cols s.CW) e.X = <Table () (s.Cols s.Cols s.CW) e.X>;
(e.Row) (s.Cols s.N s.CW), e.Row: {
= ;
e.Row = <Prout e.Row>;
};
(e.Row) (s.Cols 0 s.CW) e.X =
<Prout e.Row>
<Table () (s.Cols s.Cols s.CW) e.X>;
(e.Row) (s.Cols s.N s.CW) s.I e.X =
<Table (e.Row <Cell s.CW s.I>) (s.Cols <- s.N 1> s.CW) e.X>;
};
 
Repeat {
0 s.C = ;
s.N s.C = s.C <Repeat <- s.N 1> s.C>;
};
 
Filter {
s.F = ;
s.F s.I e.X, <Mu s.F s.I>: {
True = s.I <Filter s.F e.X>;
False = <Filter s.F e.X>;
};
};
 
Iota {
s.End s.End = s.End;
s.Start s.End = s.Start <Iota <+ 1 s.Start> s.End>;
};
 
DigitSumSubstring {
s.N, <Symb <DigitSum s.N>>: e.2,
<Symb s.N>: e.1 e.2 e.3 = True;
s.N = False;
};
 
DigitSum {
0 = 0;
s.N, <Divmod s.N 10>: (s.R) s.D = <+ s.D <DigitSum s.R>>;
};</syntaxhighlight>
{{out}}
<pre> 0 1 2 3 4 5 6 7
8 9 10 20 30 40 50 60
70 80 90 100 109 119 129 139
149 159 169 179 189 199 200 300
400 500 600 700 800 900 910 911
912 913 914 915 916 917 918 919</pre>
 
=={{header|REXX}}==
<langsyntaxhighlight lang="rexx">/*REXX pgm finds integers whose sum of decimal digits is a substring of N, N < 1000. */
parse arg hi cols . /*obtain optional argument from the CL.*/
if hi=='' | hi=="," then hi= 1000 /*Not specified? Then use the default.*/
Line 759 ⟶ 1,893:
/*──────────────────────────────────────────────────────────────────────────────────────*/
commas: parse arg ?; do jc=length(?)-3 to 1 by -3; ?=insert(',', ?, jc); end; return ?
sumDigs:procedure; parse arg x 1 s 2;do j=2 for length(x)-1;s=s+substr(x,j,1);end;return s</langsyntaxhighlight>
{{out|output|text=&nbsp; when using the default inputs:}}
<pre>
Line 775 ⟶ 1,909:
 
=={{header|Ring}}==
<langsyntaxhighlight lang="ring">
load "stdlib.ring"
see "working..." + nl
Line 802 ⟶ 1,936:
see nl + "Found " + row + " numbers" + nl
see "done..." + nl
</syntaxhighlight>
</lang>
{{out}}
<pre>
Line 814 ⟶ 1,948:
Found 48 numbers
done...
</pre>
 
=={{header|RPL}}==
≪ →STR 0 1 3 PICK SIZE '''FOR''' j
OVER j DUP SUB STR→ + '''NEXT'''
→STR POS
≫ ‘'''∑DIN?'''’ STO
 
≪ { } 1 1000 '''FOR''' j '''IF''' j '''∑DIN? THEN''' j + '''END NEXT''' ≫ EVAL
{{out}}
<pre>
1: { 1 2 3 4 5 6 7 8 9 10 20 30 40 50 60 70 80 90 100 109 119 129 139 149 159 169 179 189 199 200 300 400 500 600 700 800 900 910 911 912 913 914 915 916 917 918 919 1000 }
</pre>
 
=={{header|Ruby}}==
<syntaxhighlight lang="ruby">p (0...1000).select{|n| n.to_s.match? n.digits.sum.to_s}
</syntaxhighlight>
{{out}}
<pre>[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 109, 119, 129, 139, 149, 159, 169, 179, 189, 199, 200, 300, 400, 500, 600, 700, 800, 900, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 1000]
</pre>
 
=={{header|Rust}}==
<syntaxhighlight lang="Rust">fn sum_digits( mut num : u32 ) -> u32 {
let mut sum : u32 = 0 ;
while num != 0 {
sum += num % 10 ;
num /= 10 ;
}
sum
}
 
fn main() {
let solution : Vec<u32> = (0..1000).filter( | &d | {
let digit_sum : u32 = sum_digits( d ) ;
let sumstring = digit_sum.to_string( ) ;
let sumstr : &str = sumstring.as_str( ) ;
let numstring : String = d.to_string( ) ;
let numstr : &str = numstring.as_str( ) ;
numstr.contains( &sumstr )
}).collect( ) ;
println!("{:?}" , solution ) ;
}</syntaxhighlight>
{{out}}
<pre>
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 109, 119, 129, 139, 149, 159, 169, 179, 189, 199, 200, 300, 400, 500, 600, 700, 800, 900, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919]
</pre>
 
=={{header|Sidef}}==
<syntaxhighlight lang="ruby">var upto = 1000
var base = 10
 
var list = (^upto -> grep {
.digits(base).contains(.sumdigits(base).digits(base)...)
})
 
say "Numbers under #{upto} whose sum of digits is a substring of themselves:"
 
list.each_slice(8, {|*a|
say a.map { '%3s' % _ }.join(' ')
})
 
say "\n#{list.len} such numbers found."</syntaxhighlight>
{{out}}
<pre>
Numbers under 1000 whose sum of digits is a substring of themselves:
0 1 2 3 4 5 6 7
8 9 10 20 30 40 50 60
70 80 90 100 109 119 129 139
149 159 169 179 189 199 200 300
400 500 600 700 800 900 910 911
912 913 914 915 916 917 918 919
 
48 such numbers found.
</pre>
 
=={{header|SNOBOL4}}==
<langsyntaxhighlight lang="snobol4"> define('digsum(n)') :(digsum_end)
digsum digsum = 0
dsloop digsum = digsum + remdr(n,10)
Line 830 ⟶ 2,037:
loop output = sumsub(i) i
i = lt(i,999) i + 1 :s(loop)
end</langsyntaxhighlight>
{{out}}
<pre style='height:50ex'>0
Line 883 ⟶ 2,090:
=={{header|Wren}}==
{{libheader|Wren-math}}
{{libheader|Wren-seq}}
{{libheader|Wren-fmt}}
<langsyntaxhighlight ecmascriptlang="wren">import "./math" for Int
import "./seqfmt" for LstFmt
import "/fmt" for Fmt
 
var numbers = []
Line 896 ⟶ 2,101:
}
System.print("Numbers under 1,000 whose sum of digits is a substring of themselves:")
Fmt.tprint("$3d", numbers, 8)
for (chunk in Lst.chunks(numbers, 8)) Fmt.print("$3d", chunk)
System.print("\n%(numbers.count) such numbers found.")</langsyntaxhighlight>
 
{{out}}
Line 911 ⟶ 2,116:
48 such numbers found.
</pre>
 
=={{header|XPL0}}==
<syntaxhighlight lang="xpl0">func Check(N); \Return 'true' if sum of digits of N is a substring of N
int N, Sum, A, B, C;
[N:= N/10;
C:= rem(0);
N:= N/10;
B:= rem(0);
A:= N;
Sum:= A+B+C;
if Sum=A or Sum=B or Sum=C then return true;
if Sum = B*10 + C then return true;
if Sum = A*10 + B then return true;
return false;
];
 
int Count, N;
[Count:= 0;
for N:= 0 to 1000-1 do
if Check(N) then
[IntOut(0, N);
Count:= Count+1;
if rem(Count/10) = 0 then CrLf(0) else ChOut(0, 9\tab\);
];
CrLf(0);
IntOut(0, Count);
Text(0, " such numbers found below 1000.
");
]</syntaxhighlight>
 
{{out}}
<pre>
0 1 2 3 4 5 6 7 8 9
10 20 30 40 50 60 70 80 90 100
109 119 129 139 149 159 169 179 189 199
200 300 400 500 600 700 800 900 910 911
912 913 914 915 916 917 918 919
48 such numbers found below 1000.
</pre>
 
=={{header|Yabasic}}==
<syntaxhighlight lang="yabasic">// Rosetta Code problem: http://rosettacode.org/wiki/Sum_of_the_digits_of_n_is_substring_of_n
// by Galileo, 04/2022
 
for n = 0 to 999
if isSubstring(n) print n using "####";
next
print
sub isSubstring(n)
local n$, lon, i, p
n$ = str$(n)
lon = len(n$)
for i = 1 to lon
p = p + val(mid$(n$,i,1))
next
return instr(n$, str$(p))
end sub</syntaxhighlight>
{{out}}
<pre> 0 1 2 3 4 5 6 7 8 9 10 20 30 40 50 60 70 80 90 100 109 119 129 139 149 159 169 179 189 199 200 300 400 500 600 700 800 900 910 911 912 913 914 915 916 917 918 919
---Program done, press RETURN---</pre>
2,093

edits