Last list item
Last list item is a draft programming task. It is not yet considered ready to be promoted as a complete task, for reasons that should be found in its talk page.
- Task
List = [6, 81, 243, 14, 25, 49, 123, 69, 11]
Find the two smallest items, remove them from the list, find their sum, and add the sum to the end of list.
Repeat until the list contains one element.
Show the steps and last item on this page.
Show the unsorted list in output.
ALGOL 68
Was a translation of the sorted Wren version but the sorting has been removed as per the revised task requirements. <lang algol68>BEGIN # find the last element after repeatedly adding the sum #
# of the two smallest elements and removing them #
[ 1 : 9 ]INT a := ( 6, 81, 243, 14, 25, 49, 123, 69, 11 );
INT a count := UPB a;
WHILE a count > 1 DO
print( ( "List:" ) );FOR i TO a count DO print( ( " ", whole( a[ i ], 0 ) ) ) OD;
INT s1pos, s2pos;
IF a[ 1 ] < a[ 2 ]
THEN s1pos := 1; s2pos := 2
ELSE s1pos := 2; s2pos := 1
FI;
FOR i FROM 3 TO a count DO
IF a[ i ] < a[ s1pos ] THEN s2pos := s1pos; s1pos := i
ELIF a[ i ] < a[ s2pos ] THEN s2pos := i
FI
OD;
INT sum = a[ s1pos ] + a[ s2pos ];
print( ( "; two smallest: " , whole( a[ s1pos ], 0 ), " @ ", whole( s1pos, 0 )
, " and ", whole( a[ s2pos ], 0 ), " @ ", whole( s2pos, 0 )
, "; sum = ", whole( sum, 0 )
, newline
)
);
a[ s1pos ] := sum;
FOR i FROM s2pos TO a count - 1 DO a[ i ] := a[ i + 1 ] OD;
a count -:= 1
OD;
print( ( "Last item is ", whole( a[ 1 ], 0 ), ".", newline ) )
END</lang>
- Output:
List: 6 81 243 14 25 49 123 69 11; two smallest: 6 @ 1 and 11 @ 9; sum = 17 List: 17 81 243 14 25 49 123 69; two smallest: 14 @ 4 and 17 @ 1; sum = 31 List: 81 243 31 25 49 123 69; two smallest: 25 @ 4 and 31 @ 3; sum = 56 List: 81 243 56 49 123 69; two smallest: 49 @ 4 and 56 @ 3; sum = 105 List: 81 243 105 123 69; two smallest: 69 @ 5 and 81 @ 1; sum = 150 List: 243 105 123 150; two smallest: 105 @ 2 and 123 @ 3; sum = 228 List: 243 228 150; two smallest: 150 @ 3 and 228 @ 2; sum = 378 List: 243 378; two smallest: 243 @ 1 and 378 @ 2; sum = 621 Last item is 621.
C
With sorting
<lang c>#include <stdio.h>
- include <stdlib.h>
int compare(const void *a, const void *b) {
int aa = *(const int *)a; int bb = *(const int *)b; if (aa < bb) return -1; if (aa > bb) return 1; return 0;
}
int main() {
int a[] = {6, 81, 243, 14, 25, 49, 123, 69, 11};
int isize = sizeof(int);
int asize = sizeof(a) / isize;
int i, sum;
while (asize > 1) {
qsort(a, asize, isize, compare);
printf("Sorted list: ");
for (i = 0; i < asize; ++i) printf("%d ", a[i]);
printf("\n");
sum = a[0] + a[1];
printf("Two smallest: %d + %d = %d\n", a[0], a[1], sum);
for (i = 2; i < asize; ++i) a[i-2] = a[i];
a[asize - 2] = sum;
asize--;
}
printf("Last item is %d.\n", a[0]);
return 0;
}</lang>
- Output:
Sorted list: 6 11 14 25 49 69 81 123 243 Two smallest: 6 + 11 = 17 Sorted list: 14 17 25 49 69 81 123 243 Two smallest: 14 + 17 = 31 Sorted list: 25 31 49 69 81 123 243 Two smallest: 25 + 31 = 56 Sorted list: 49 56 69 81 123 243 Two smallest: 49 + 56 = 105 Sorted list: 69 81 105 123 243 Two smallest: 69 + 81 = 150 Sorted list: 105 123 150 243 Two smallest: 105 + 123 = 228 Sorted list: 150 228 243 Two smallest: 150 + 228 = 378 Sorted list: 243 378 Two smallest: 243 + 378 = 621 Last item is 621.
Without sorting
<lang c>#include <stdio.h>
int findMin(int a[], int asize, int *pmin) {
int i, ix = 0;
*pmin = a[0];
for (i = 0; i < asize; ++i) {
if (a[i] < *pmin) {
ix = i;
*pmin = a[i];
}
}
return ix;
}
int main() {
int a[] = {6, 81, 243, 14, 25, 49, 123, 69, 11};
int isize = sizeof(int);
int asize = sizeof(a) / isize;
int i, j, sum, ix, min = 0, s[2];
while (asize > 1) {
printf("List: ");
for (i = 0; i < asize; ++i) printf("%d ", a[i]);
printf("\n");
for (i = 0; i < 2; ++i) {
ix = findMin(a, asize, &min);
s[i] = min;
for (j = ix+1; j < asize; ++j) a[j-1] = a[j];
asize--;
}
sum = s[0] + s[1];
printf("Two smallest: %d + %d = %d\n", s[0], s[1], sum);
a[asize] = sum;
asize++;
}
printf("Last item is %d.\n", a[0]);
return 0;
}</lang>
- Output:
List: 6 81 243 14 25 49 123 69 11 Two smallest: 6 + 11 = 17 List: 81 243 14 25 49 123 69 17 Two smallest: 14 + 17 = 31 List: 81 243 25 49 123 69 31 Two smallest: 25 + 31 = 56 List: 81 243 49 123 69 56 Two smallest: 49 + 56 = 105 List: 81 243 123 69 105 Two smallest: 69 + 81 = 150 List: 243 123 105 150 Two smallest: 105 + 123 = 228 List: 243 150 228 Two smallest: 150 + 228 = 378 List: 243 378 Two smallest: 243 + 378 = 621 Last item is 621.
Factor
<lang factor>USING: formatting io kernel math math.statistics prettyprint sequences sequences.extras ;
- list. ( seq -- )
"List: " write [ bl ] [ pprint ] interleave nl ;
- smallest. ( seq -- )
first2 2dup + "Two smallest: %d + %d = %d\n" printf ;
- remove-all-first! ( seq elts -- seq' )
[ swap remove-first! ] each ;
- step ( seq -- seq' )
dup { 0 1 } kth-smallests tuck remove-all-first! over
smallest. swap sum suffix! ;
V{ 6 81 243 14 25 49 123 69 11 } [ dup length 1 > ] [ dup list. step ] while last "Last item is %d.\n" printf</lang>
- Output:
List: 6 81 243 14 25 49 123 69 11 Two smallest: 6 + 11 = 17 List: 81 243 14 25 49 123 69 17 Two smallest: 14 + 17 = 31 List: 81 243 25 49 123 69 31 Two smallest: 25 + 31 = 56 List: 81 243 49 123 69 56 Two smallest: 49 + 56 = 105 List: 81 243 123 69 105 Two smallest: 69 + 81 = 150 List: 243 123 105 150 Two smallest: 105 + 123 = 228 List: 243 150 228 Two smallest: 150 + 228 = 378 List: 243 378 Two smallest: 243 + 378 = 621 Last item is 621.
Go
With sorting
<lang go>package main
import (
"fmt" "sort"
)
func main() {
a := []int{6, 81, 243, 14, 25, 49, 123, 69, 11}
for len(a) > 1 {
sort.Ints(a)
fmt.Println("Sorted list:", a)
sum := a[0] + a[1]
fmt.Printf("Two smallest: %d + %d = %d\n", a[0], a[1], sum)
a = append(a, sum)
a = a[2:]
}
fmt.Println("Last item is", a[0], "\b.")
}</lang>
- Output:
Sorted list: [6 11 14 25 49 69 81 123 243] Two smallest: 6 + 11 = 17 Sorted list: [14 17 25 49 69 81 123 243] Two smallest: 14 + 17 = 31 Sorted list: [25 31 49 69 81 123 243] Two smallest: 25 + 31 = 56 Sorted list: [49 56 69 81 123 243] Two smallest: 49 + 56 = 105 Sorted list: [69 81 105 123 243] Two smallest: 69 + 81 = 150 Sorted list: [105 123 150 243] Two smallest: 105 + 123 = 228 Sorted list: [150 228 243] Two smallest: 150 + 228 = 378 Sorted list: [243 378] Two smallest: 243 + 378 = 621 Last item is 621.
Without sorting
<lang go>package main
import "fmt"
func findMin(a []int) (int, int) {
ix := 0
min := a[0]
for i := 1; i < len(a); i++ {
if a[i] < min {
ix = i
min = a[i]
}
}
return min, ix
}
func main() {
a := []int{6, 81, 243, 14, 25, 49, 123, 69, 11}
for len(a) > 1 {
fmt.Println("List:", a)
var s [2]int
for i := 0; i < 2; i++ {
min, ix := findMin(a)
s[i] = min
a = append(a[:ix], a[ix+1:]...)
}
sum := s[0] + s[1]
fmt.Printf("Two smallest: %d + %d = %d\n", s[0], s[1], sum)
a = append(a, sum)
}
fmt.Println("Last item is", a[0], "\b.")
}</lang>
- Output:
List: [6 81 243 14 25 49 123 69 11] Two smallest: 6 + 11 = 17 List: [81 243 14 25 49 123 69 17] Two smallest: 14 + 17 = 31 List: [81 243 25 49 123 69 31] Two smallest: 25 + 31 = 56 List: [81 243 49 123 69 56] Two smallest: 49 + 56 = 105 List: [81 243 123 69 105] Two smallest: 69 + 81 = 150 List: [243 123 105 150] Two smallest: 105 + 123 = 228 List: [243 150 228] Two smallest: 150 + 228 = 378 List: [243 378] Two smallest: 243 + 378 = 621 Last item is 621.
Julia
<lang julia>list = [6, 81, 243, 14, 25, 49, 123, 69, 11]
function addleastreduce!(lis)
while length(lis) > 1
push!(lis, popat!(lis, last(findmin(lis))) + popat!(lis, last(findmin(lis))))
println("Interim list: $lis")
end
return lis
end
@show list, addleastreduce!(copy(list))
</lang>
- Output:
Interim list: [81, 243, 14, 25, 49, 123, 69, 17] Interim list: [81, 243, 25, 49, 123, 69, 31] Interim list: [81, 243, 49, 123, 69, 56] Interim list: [81, 243, 123, 69, 105] Interim list: [243, 123, 105, 150] Interim list: [243, 150, 228] Interim list: [243, 378] Interim list: [621] (list, addleastreduce!(copy(list))) = ([6, 81, 243, 14, 25, 49, 123, 69, 11], [621])
Perl
<lang perl>use strict; use warnings; use feature 'say'; use List::AllUtils <min firstidx>;
my @list = <6 81 243 14 25 49 123 69 11>; say " Original @list"; push @list, get(min @list) + get(min @list) and say "@list" while @list > 1;
sub get {
my($min) = @_;
splice @list, (firstidx { $min == $_ } @list), 1;
printf " %3d ", $min;
$min;
}</lang>
- Output:
Original 6 81 243 14 25 49 123 69 11 6 11 81 243 14 25 49 123 69 17 14 17 81 243 25 49 123 69 31 25 31 81 243 49 123 69 56 49 56 81 243 123 69 105 69 81 243 123 105 150 105 123 243 150 228 150 228 243 378 243 378 621
Raku
Uses no sorting; does not modify overall list order while processing. <lang perl6>say ' Original ', my @list = 6, 81, 243, 14, 25, 49, 123, 69, 11;
say push @list: get(min @list) + get(min @list) while @list > 1;
sub get ($min) {
@list.splice: @list.first(* == $min, :k), 1; printf " %3d ", $min; $min;
}</lang>
- Output:
Original [6 81 243 14 25 49 123 69 11] 6 11 [81 243 14 25 49 123 69 17] 14 17 [81 243 25 49 123 69 31] 25 31 [81 243 49 123 69 56] 49 56 [81 243 123 69 105] 69 81 [243 123 105 150] 105 123 [243 150 228] 150 228 [243 378] 243 378 [621]
REXX
With sorting
<lang rexx>/* REXX */ List = '6 81 243 14 25 49 123 69 11' Do Until words(list)=1
list=wordsort(list) Say 'Sorted list:' list Parse Var list a b c Say 'Two smallest:' a '+' b '=' (a+b) list=(a+b) c End
Say 'Last item:' list Exit wordsort: Procedure /**********************************************************************
- Sort the list of words supplied as argument. Return the sorted list
- /
Parse Arg wl
wa.=
wa.0=0
Do While wl<>
Parse Var wl w wl
Do i=1 To wa.0
If wa.i>w Then Leave
End
If i<=wa.0 Then Do
Do j=wa.0 To i By -1
ii=j+1
wa.ii=wa.j
End
End
wa.i=w
wa.0=wa.0+1
End
swl=
Do i=1 To wa.0
swl=swl wa.i
End
Return strip(swl)</lang>
- Output:
Sorted list: 6 11 14 25 49 69 81 123 243 Two smallest: 6 + 11 = 17 Sorted list: 14 17 25 49 69 81 123 243 Two smallest: 14 + 17 = 31 Sorted list: 25 31 49 69 81 123 243 Two smallest: 25 + 31 = 56 Sorted list: 49 56 69 81 123 243 Two smallest: 49 + 56 = 105 Sorted list: 69 81 105 123 243 Two smallest: 69 + 81 = 150 Sorted list: 105 123 150 243 Two smallest: 105 + 123 = 228 Sorted list: 150 228 243 Two smallest: 150 + 228 = 378 Sorted list: 243 378 Two smallest: 243 + 378 = 621 Last item: 621
Without sorting
<lang rexx>/* REXX */ List = '6 81 243 14 25 49 123 69 11' Do Until words(list)=1
Say 'List:' list a=getmin() b=getmin() Say 'Two smallest:' a '+' b '=' (a+b) list=list (a+b) End
Say 'Last item:' list Exit
getmin: Procedure Expose list /* Return the smallest element of list and remove it from list */ min=1e9 Do i=1 To words(list)
If word(list,i)<min Then Do m=word(list,i) min=m j=i End End
list=subword(list,1,j-1) subword(list,j+1) Return m</lang>
- Output:
List: 6 81 243 14 25 49 123 69 11 Two smallest: 6 + 11 = 17 List: 81 243 14 25 49 123 69 17 Two smallest: 14 + 17 = 31 List: 81 243 25 49 123 69 31 Two smallest: 25 + 31 = 56 List: 81 243 49 123 69 56 Two smallest: 49 + 56 = 105 List: 81 243 123 69 105 Two smallest: 69 + 81 = 150 List: 243 123 105 150 Two smallest: 105 + 123 = 228 List: 243 150 228 Two smallest: 150 + 228 = 378 List: 243 378 Two smallest: 243 + 378 = 621 Last item: 621
Ring
Without sorting
<lang ring> see "working..." + nl
List = [6,81,243,14,25,49,123,69,11] n = 0
while true
n++
if n = 1
see nl + "List = "
showArray(List)
see nl
ok
first = min(List)
ind1 = find(List,first)
del(List,ind1)
second = min(List)
ind2 = find(List,second)
del(List,ind2)
sum = first + second
add(List,sum)
if len(List) = 1
exit
ok
showList(first,second,sum,List)
end
see "Last item is: " +List[1] + nl see "done..." + nl
func showList(first,second,sum,List)
see "two smallest is = " + first + " + " + second + " = " + sum + nl
see "List = "
showArray(List)
func showArray(array)
txt = ""
see "["
for n = 1 to len(array)
txt = txt + array[n] + ","
next
txt = left(txt,len(txt)-1)
txt = txt + "]"
see txt + nl
</lang>
- Output:
working... List = [6,81,243,14,25,49,123,69,11] two smallest is = 6 + 11 = 17 List = [81,243,14,25,49,123,69,17] two smallest is = 14 + 17 = 31 List = [81,243,25,49,123,69,31] two smallest is = 25 + 31 = 56 List = [81,243,49,123,69,56] two smallest is = 49 + 56 = 105 List = [81,243,123,69,105] two smallest is = 69 + 81 = 150 List = [243,123,105,150] two smallest is = 105 + 123 = 228 List = [243,150,228] two smallest is = 150 + 228 = 378 List = [243,378] Last item is: 621 done...
With sorting
<lang ring> see "working..." + nl
List = [6,81,243,14,25,49,123,69,11] n = 0
while true
n++
List = sort(List)
first = List[1]
second = List[2]
ind1 = find(List,first)
ind2 = find(List,second)
if ind1 < ind2
del(List,ind2)
del(List,ind1)
else
del(List,ind1)
del(List,ind2)
ok
sum = first + second
add(List,sum)
if len(List) = 1
exit
ok
if n = 1
see nl + "List = "
showArray(List)
see nl
ok
showList(first,second,sum,List)
end
see "Last item is: " +List[1] + nl see "done..." + nl
func showList(first,second,sum,List)
see "two smallest is = " + first + " + " + second + " = " + sum + nl
see "List = "
showArray(List)
func showArray(array)
txt = ""
see "["
for n = 1 to len(array)
txt = txt + array[n] + ","
next
txt = left(txt,len(txt)-1)
txt = txt + "]"
see txt + nl
</lang>
- Output:
working... List = [14,25,49,69,81,123,243,17] two smallest is = 6 + 11 = 17 List = [14,25,49,69,81,123,243,17] two smallest is = 14 + 17 = 31 List = [25,49,69,81,123,243,31] two smallest is = 25 + 31 = 56 List = [49,69,81,123,243,56] two smallest is = 49 + 56 = 105 List = [69,81,123,243,105] two smallest is = 69 + 81 = 150 List = [105,123,243,150] two smallest is = 105 + 123 = 228 List = [150,243,228] two smallest is = 150 + 228 = 378 List = [243,378] Last item is: 621 done...
Wren
With sorting
<lang ecmascript>var a = [6, 81, 243, 14, 25, 49, 123, 69, 11]
while (a.count > 1) {
a.sort()
System.print("Sorted list: %(a)")
var sum = a[0] + a[1]
System.print("Two smallest: %(a[0]) + %(a[1]) = %(sum)")
a.add(sum)
a = a[2..-1]
}
System.print("Last item is %(a[0]).")</lang>
- Output:
Sorted list: [6, 11, 14, 25, 49, 69, 81, 123, 243] Two smallest: 6 + 11 = 17 Sorted list: [14, 17, 25, 49, 69, 81, 123, 243] Two smallest: 14 + 17 = 31 Sorted list: [25, 31, 49, 69, 81, 123, 243] Two smallest: 25 + 31 = 56 Sorted list: [49, 56, 69, 81, 123, 243] Two smallest: 49 + 56 = 105 Sorted list: [69, 81, 105, 123, 243] Two smallest: 69 + 81 = 150 Sorted list: [105, 123, 150, 243] Two smallest: 105 + 123 = 228 Sorted list: [150, 228, 243] Two smallest: 150 + 228 = 378 Sorted list: [243, 378] Two smallest: 243 + 378 = 621 Last item is 621.
Without sorting
<lang ecmascript>var findMin = Fn.new { |a|
var ix = 0
var min = a[0]
for (i in 1...a.count) {
if (a[i] < min) {
ix = i
min = a[i]
}
}
return [min, ix]
}
var a = [6, 81, 243, 14, 25, 49, 123, 69, 11]
while (a.count > 1) {
System.print("List: %(a)")
var s = List.filled(2, 0)
for (i in 0..1) {
var m = findMin.call(a)
s[i] = m[0]
a.removeAt(m[1])
}
var sum = s[0] + s[1]
System.print("Two smallest: %(s[0]) + %(s[1]) = %(sum)")
a.add(sum)
}
System.print("Last item is %(a[0]).")</lang>
- Output:
List: [6, 81, 243, 14, 25, 49, 123, 69, 11] Two smallest: 6 + 11 = 17 List: [81, 243, 14, 25, 49, 123, 69, 17] Two smallest: 14 + 17 = 31 List: [81, 243, 25, 49, 123, 69, 31] Two smallest: 25 + 31 = 56 List: [81, 243, 49, 123, 69, 56] Two smallest: 49 + 56 = 105 List: [81, 243, 123, 69, 105] Two smallest: 69 + 81 = 150 List: [243, 123, 105, 150] Two smallest: 105 + 123 = 228 List: [243, 150, 228] Two smallest: 150 + 228 = 378 List: [243, 378] Two smallest: 243 + 378 = 621 Last item is 621.