Just another update

This commit is contained in:
Ingy döt Net 2015-02-20 00:35:01 -05:00
parent a25938f123
commit 00a190b0a6
6591 changed files with 94363 additions and 23227 deletions

View file

@ -18,16 +18,15 @@ immutable Item[] items = [
{"sunglasses", 7, 20, 1}, {"towel", 18, 12, 2},
{"socks", 4, 50, 1}, {"book", 30, 10, 2}];
Tuple!(int,const(int)[]) chooseItem(in int iWeight, in int idx)
nothrow {
alias memoize!chooseItem memoChooseItem;
Tuple!(int, const(int)[]) chooseItem(in int iWeight, in int idx) nothrow @safe {
alias memoChooseItem = memoize!chooseItem;
if (idx < 0)
return typeof(return).init;
return typeof(return)();
int bestV;
const(int)[] bestList;
with (items[idx])
foreach (i; 0 .. quantity + 1) {
foreach (immutable i; 0 .. quantity + 1) {
immutable wlim = iWeight - i * weight;
if (wlim < 0)
break;
@ -48,7 +47,7 @@ void main() {
const v_lst = chooseItem(400, items.length - 1);
int w;
foreach (i, cnt; v_lst[1])
foreach (immutable i, const cnt; v_lst[1])
if (cnt > 0) {
writeln(cnt, " ", items[i].name);
w += items[i].weight * cnt;

View file

@ -1,17 +1,13 @@
package main
import "fmt"
type Item struct {
name string
name string
weight, value, qty int
}
type Solution struct {
v, w int
qty []int
}
var items = []Item {
var items = []Item{
{"map", 9, 150, 1},
{"compass", 13, 35, 1},
{"water", 153, 200, 2},
@ -36,37 +32,62 @@ var items = []Item {
{"book", 30, 10, 2},
}
func choose(weight, pos int, cache map[string]*Solution) (int, int, []int) {
if pos < 0 || weight <= 0 {
return 0, 0, make([]int, len(items))
type Chooser struct {
Items []Item
cache map[key]solution
}
type key struct {
w, p int
}
type solution struct {
v, w int
qty []int
}
func (c Chooser) Choose(limit int) (w, v int, qty []int) {
c.cache = make(map[key]solution)
s := c.rchoose(limit, len(c.Items)-1)
c.cache = nil // allow cache to be garbage collected
return s.v, s.w, s.qty
}
func (c Chooser) rchoose(limit, pos int) solution {
if pos < 0 || limit <= 0 {
return solution{0, 0, nil}
}
str := fmt.Sprintf("%d,%d", weight, pos)
if s, ok := cache[str]; ok {
return s.v, s.w, s.qty
key := key{limit, pos}
if s, ok := c.cache[key]; ok {
return s
}
best_v, best_i, best_w, best_sol := 0, 0, 0, []int(nil)
for i := 0; i * items[pos].weight <= weight && i <= items[pos].qty; i++ {
v, w, sol := choose(weight - i * items[pos].weight, pos - 1, cache)
v += i * items[pos].value
if v > best_v {
best_i, best_v, best_w, best_sol = i, v, w, sol
best_i, best := 0, solution{0, 0, nil}
for i := 0; i*items[pos].weight <= limit && i <= items[pos].qty; i++ {
sol := c.rchoose(limit-i*items[pos].weight, pos-1)
sol.v += i * items[pos].value
if sol.v > best.v {
best_i, best = i, sol
}
}
taken := make([]int, len(items))
copy(taken, best_sol)
taken[pos] = best_i
v, w := best_v, best_w + best_i * items[pos].weight
cache[str] = &Solution{v, w, taken}
return v, w, taken
if best_i > 0 {
// best.qty is used in another cache entry,
// we need to duplicate it before modifying it to
// store as our cache entry.
old := best.qty
best.qty = make([]int, len(items))
copy(best.qty, old)
best.qty[pos] = best_i
best.w += best_i * items[pos].weight
}
c.cache[key] = best
return best
}
func main() {
v, w, s := choose(400, len(items) - 1, make(map[string]*Solution))
v, w, s := Chooser{Items: items}.Choose(400)
fmt.Println("Taking:")
for i, t := range s {

View file

@ -1,202 +1,171 @@
/*REXX pgm solves a knapsack problem (22 items +repeats, wt. restriction*/
@.=
@.1 ='map 9 150'
@.2 ='compass 13 35'
@.3 ='water 153 200 2'
@.4 ='sandwich 50 60 2'
@.5 ='glucose 15 60 2'
@.6 ='tin 68 45 3'
@.7 ='banana 27 60 3'
@.8 ='apple 39 40 3'
@.9 ='cheese 23 30'
@.10='beer 52 10 3'
@.11='suntan_cream 11 70'
@.12='camera 32 30'
@.13='T-shirt 24 15 2'
@.14='trousers 48 10 2'
@.15='umbrella 73 40'
@.16='waterproof_trousers 42 70'
@.17='waterproof_overclothes 43 75'
@.18='note-case 22 80'
@.19='sunglasses 7 20'
@.20='towel 18 12 2'
@.21='socks 4 50'
@.22='book 30 10 2'
call @gen /*generate items &initializations*/
call @sort /*sort items by decreasing weight*/
call bOBJ /*build a list of choices. */
call showOBJ /*display the list of choices. */
call sim37 /*examine the possible choices. */
call showBest /*show best choice (weight,value)*/
exit /*stick a fork in it, we're done.*/
/*────────────────────────────────@GEN subroutine───────────────────────*/
@gen: @. =
@.1 = 'map 9 150'
@.2 = 'compass 13 35'
@.3 = 'water 153 200 2'
@.4 = 'sandwich 50 60 2'
@.5 = 'glucose 15 60 2'
@.6 = 'tin 68 45 3'
@.7 = 'banana 27 60 3'
@.8 = 'apple 39 40 3'
@.9 = 'cheese 23 30'
@.10 = 'beer 52 10 3'
@.11 = 'suntan_cream 11 70'
@.12 = 'camera 32 30'
@.13 = 'T-shirt 24 15 2'
@.14 = 'trousers 48 10 2'
@.15 = 'umbrella 73 40'
@.16 = 'waterproof_trousers 42 70'
@.17 = 'waterproof_overclothes 43 75'
@.18 = 'note-case 22 80'
@.19 = 'sunglasses 7 20'
@.20 = 'towel 18 12 2'
@.21 = 'socks 4 50'
@.22 = 'book 30 10 2'
highQ=0 /*max quantity specified (if any)*/
maxWeight=400 /*the maximum weight for knapsack*/
say; say 'maximum weight allowed for a knapsack:' comma(maxWeight); say
maxL=length('item') /*maximum width for table names. */
maxL=length('knapsack items') /*maximum width for table names. */
maxW=length('weight') /* " " " " weights*/
maxV=length('value') /* " " " " values.*/
maxQ=length('pieces') /* " " " " quant. */
highQ=0 /*max quantity specified (if any)*/
items=0; i.=; w.=0; v.=0; q.=0; Tw=0; Tv=0; Tq=0 /*initialize stuff.*/
/*────────────────────────────────sort the choices by decreasing weight.*/
/*this minimizes # combinations. */
do j=1 while @.j\=='' /*process each choice and sort. */
_=@.j; _wt=word(_,2) /*choose first item (arbitrary). */
_wt=word(_,2)
do k=j+1 while @.k\=='' /*find a possible heavier item. */
?wt=word(@.k,2)
if ?wt>_wt then do; _=@.k; @.k=@.j; @.j=_; _wt=?wt; end
end /*k*/
end /*j*/
items=0; i.=; w.=0; v.=0; q.=0 /*initialize some stuff & things.*/
Tw=0; Tv=0; Tq=0; m=maxWeight /* " more " " " */
say; say 'maximum weight allowed for a knapsack: ' comma(maxWeight); say
return
/*────────────────────────────────@SORT subroutine──────────────────────*/
@sort: do j=1 while @.j\=='' /*process each choice and sort. */
_=space(@.j); @.j=_ /*remove any superfluous blanks. */
_wt=word(_, 2) /*choose first item (arbitrary). */
do k=j+1 while @.k\=='' /*find a possible heavier item. */
?wt=word(@.k, 2)
if ?wt>_wt then do; _=@.k; @.k=@.j; @.j=_; _wt=?wt; end
end /*k*/
end /*j*/ /* [↑] minimizes # combinations.*/
obj=j-1 /*adjust for the DO loop index. */
/*────────────────────────────────build list of choices.────────────────*/
do j=1 for obj /*build a list of choices. */
_=space(@.j) /*remove superfluous blanks. */
parse var _ item w v q . /*parse original choice for table*/
if w>maxWeight then iterate /*if the weight > maximum, ignore*/
Tw=Tw+w; Tv=Tv+v; Tq=Tq+1 /*add totals up (for alignment). */
maxL=max(maxL,length(item)) /*find maximum width for item. */
if q=='' then q=1
highQ=max(highQ,q)
return
/*────────────────────────────────BOBJ subroutine───────────────────────*/
bOBJ: do j=1 for obj /*build a list of choices. */
parse var @.j item w v q . /*parse original choice for table*/
if w>maxWeight then iterate /*if the weight > maximum, ignore*/
Tw=Tw+w; Tv=Tv+v; Tq=Tq+1 /*add totals up (for alignment). */
maxL=max(maxL, length(item)) /*find maximum width for item. */
if q=='' then q=1
highQ=max(highQ, q)
items=items+1 /*bump the item counter. */
i.items=item; w.items=w; v.items=v; q.items=q
do k=2 to q; items=items+1 /*bump the item counter. */
i.items=item; w.items=w; v.items=v; q.items=q
Tw=Tw+w; Tv=Tv+v; Tq=Tq+1
end /*k*/
end /*j*/
do k=2 to q; items=items+1 /*bump the item counter (pieces).*/
i.items=item; w.items=w; v.items=v; q.items=q
Tw=Tw+w; Tv=Tv+v; Tq=Tq+1
end /*k*/
end /*j*/
maxW=max(maxW,length(comma(Tw))) /*find maximum width for weight. */
maxV=max(maxV,length(comma(Tv))) /* " " " " value. */
maxQ=max(maxQ,length(comma(Tq))) /* " " " " quantity*/
maxL=maxL+maxL%4+4 /*extend width of name for table.*/
/*────────────────────────────────show the list of choices.─────────────*/
call hdr 'item'; do j=1 for obj /*show all choices, nice format. */
parse var @.j item weight value q .
if highq==1 then q=
else if q=='' then q=1
call show item,weight,value,q
end /*j*/
say; say 'number of items:' items; say
/*─────────────────────────────────────examine the possible choices. */
h=items; m=maxWeight; $=0; call sim37
/*─────────────────────────────────────show the best choice (weight,val)*/
do h-1; ?=strip(strip(?),"L",0); end
bestC=?; bestW=0; bestV=$; highQ=0; totP=words(bestC)
maxW=max(maxW, length(comma(Tw))) /*find maximum width for weight. */
maxV=max(maxV, length(comma(Tv))) /* " " " " value. */
maxQ=max(maxQ, length(comma(Tq))) /* " " " " quantity*/
maxL=maxL + maxL %4 + 4 /*extend width of name for table.*/
return /* [↑] % is integer division.*/
/*────────────────────────────────COMMA subroutine────────────────────────────────────────────────────────────*/
comma: procedure; parse arg _,c,p,t; arg ,u; c=word(c ",",1); if u=='BLANK' then c=' '; o=word(p 3,1); p=abs(o)
t=word(t 999999999,1); if \datatype(p,'W')|\datatype(t,'W')|p==0|arg()>4 then return _; n=_'.9';#=123456789; k=0
if o<0 then do; b=verify(_,' '); if b==0 then return _; e=length(_)-verify(reverse(_),' ')+1; end
else do; b=verify(n,#,"M"); e=verify(n,#'0',,verify(n,#"0.",'M'))-p-1; end
do j=e to b by -p while k<t; _=insert(c,_,j); k=k+1; end; return _
/*────────────────────────────────HDR subroutine────────────────────────*/
hdr: parse arg _item_, _; if highq\==1 then _=center('pieces', maxq)
call show center( _item_ , maxL),,
center('weight', maxW),,
center('value' , maxV),,
center(_ , maxQ)
call hdr2; return
/*────────────────────────────────HDR2 subroutine───────────────────────*/
hdr2: _=maxQ; if highq==1 then _=0; call show copies('' ,maxL),,
copies('' ,maxW),,
copies('' ,maxV),,
copies('' ,_ )
return
/*────────────────────────────────J? subroutine──────────────────────────────*/
j?: parse arg _,?; $=value('V'_); do j=1 for _; ?=? value('J'j); end; return
/*────────────────────────────────SHOW subroutine───────────────────────*/
show: parse arg _item, _weight, _value, _quant
say translate(left(_item, maxL,''), ,'_'),
right(comma(_weight), maxW),
right(comma(_value ), maxV),
right(comma(_quant ), maxQ)
return
/*──────────────────────────────────SHOWOBJ subroutine──────────────────*/
showOBJ: call hdr 'item'; do j=1 for obj /*show choices, formatted.*/
parse var @.j item weight value q .
if highq==1 then q=
else if q=='' then q=1
call show item, weight, value, q
end /*j*/
say; say 'number of items (with repetitions): ' items; say
return
/*──────────────────────────────────SHOWBEST subroutine─────────────────*/
showBest: do h-1; ?=strip(strip(?), "L", 0); end
bestC=?; bestW=0; bestV=$; highQ=0; totP=words(bestC); say; say
call hdr 'best choice'
do j=1 to totP /*J is modified within DO loop. */
_=word(bestC,j); _w=w._; _v=v._; q=1
if _==0 then iterate
do j=1 to totP /*J is modified within DO loop. */
_=word(bestC, j); _w=w._; _v=v._; q=1
if _==0 then iterate
do k=j+1 to totP
__=word(bestC,k); if i._\==i.__ then leave
j=j+1; w._=w._+_w; v._=v._+_v; q=q+1
__=word(bestC, k); if i._\==i.__ then leave
j=j+1; w._=w._+_w; v._=v._+_v; q=q+1
end /*k*/
call show i._,w._,v._,q; bestW=bestw+w._
call show i._, w._, v._, q; bestW=bestw+w._
end /*j*/
call hdr2; say
call show 'best weight' ,bestW /*show a nicely formatted winnerW*/
call show 'best value' ,,bestV /*show a nicely formatted winnerV*/
call show 'knapsack items',,,totP /*show a nicely formatted pieces.*/
exit /*stick a fork in it, we're done.*/
/*────────────────────────────────COMMA subroutine──────────────────────*/
comma: procedure; parse arg _,c,p,t;arg ,cu;c=word(c ",",1)
if cu=='BLANK' then c=' ';o=word(p 3,1);p=abs(o);t=word(t 999999999,1)
if \datatype(p,'W')|\datatype(t,'W')|p==0|arg()>4 then return _;n=_'.9'
#=123456789;k=0;if o<0 then do;b=verify(_,' ');if b==0 then return _
e=length(_)-verify(reverse(_),' ')+1;end;else do;b=verify(n,#,"M")
e=verify(n,#'0',,verify(n,#"0.",'M'))-p-1;end
do j=e to b by -p while k<t;_=insert(c,_,j);k=k+1;end;return _
/*────────────────────────────────HDR subroutine────────────────────────*/
hdr: parse arg _item_,_; if highq\==1 then _=center('pieces',maxq)
call show center( _item_ ,maxL),,
center('weight',maxW),,
center('value' ,maxV),,
center(_ ,maxQ)
call hdr2
call show 'best weight' , bestW /*show a nicely formatted winnerW*/
call show 'best value' , , bestV /* " " " " winnerV*/
call show 'knapsack items', , , totP /* " " " " pieces.*/
return
/*────────────────────────────────HDR2 subroutine───────────────────────*/
hdr2: _=maxQ; if highq==1 then _=0; call show copies('=' ,maxL),,
copies('=' ,maxW),,
copies('=' ,maxV),,
copies('=' ,_ )
return
/*────────────────────────────────J? subroutine─────────────────────────*/
j?: parse arg _,?; $=value('V'_); do j=1 for _; ?=? value('J'j); end; return
/*────────────────────────────────SHOW subroutine───────────────────────*/
show: parse arg _item,_weight,_value,_quant
say translate(left(_item,maxL,''),,'_'),
right(comma(_weight),maxW),
right(comma(_value ),maxV),
right(comma(_quant ),maxQ)
return
/*─────────────────────────────────────SIM37 subroutine─────────────────*/
sim37:do j1=0 for h+1; w1=w.j1;v1=v.j1;if v1>$ then call j? 1
do j2=j1+(j1\==0) to h
if w.j2+w1>m then iterate j1;w2=w1+w.j2;v2=v1+v.j2;if v2>$ then call j? 2
do j3=j2+(j2\==0) to h
if w.j3+w2>m then iterate j2;w3=w2+w.j3;v3=v2+v.j3;if v3>$ then call j? 3
do j4=j3+(j3\==0) to h
if w.j4+w3>m then iterate j3;w4=w3+w.j4;v4=v3+v.j4;if v4>$ then call j? 4
do j5=j4+(j4\==0) to h
if w.j5+w4>m then iterate j4;w5=w4+w.j5;v5=v4+v.j5;if v5>$ then call j? 5
do j6=j5+(j5\==0) to h
if w.j6+w5>m then iterate j5;w6=w5+w.j6;v6=v5+v.j6;if v6>$ then call j? 6
do j7=j6+(j6\==0) to h
if w.j7+w6>m then iterate j6;w7=w6+w.j7;v7=v6+v.j7;if v7>$ then call j? 7
do j8=j7+(j7\==0) to h
if w.j8+w7>m then iterate j7;w8=w7+w.j8;v8=v7+v.j8;if v8>$ then call j? 8
do j9=j8+(j8\==0) to h
if w.j9+w8>m then iterate j8;w9=w8+w.j9;v9=v8+v.j9;if v9>$ then call j? 9
do j10=j9+(j9\==0) to h
if w.j10+w9>m then iterate j9;w10=w9+w.j10;v10=v9+v.j10;if v10>$ then call j? 10
do j11=j10+(j10\==0) to h
if w.j11+w10>m then iterate j10;w11=w10+w.j11;v11=v10+v.j11;if v11>$ then call j? 11
do j12=j11+(j11\==0) to h
if w.j12+w11>m then iterate j11;w12=w11+w.j12;v12=v11+v.j12;if v12>$ then call j? 12
do j13=j12+(j12\==0) to h
if w.j13+w12>m then iterate j12;w13=w12+w.j13;v13=v12+v.j13;if v13>$ then call j? 13
do j14=j13+(j13\==0) to h
if w.j14+w13>m then iterate j13;w14=w13+w.j14;v14=v13+v.j14;if v14>$ then call j? 14
do j15=j14+(j14\==0) to h
if w.j15+w14>m then iterate j14;w15=w14+w.j15;v15=v14+v.j15;if v15>$ then call j? 15
do j16=j15+(j15\==0) to h
if w.j16+w15>m then iterate j15;w16=w15+w.j16;v16=v15+v.j16;if v16>$ then call j? 16
do j17=j16+(j16\==0) to h
if w.j17+w16>m then iterate j16;w17=w16+w.j17;v17=v16+v.j17;if v17>$ then call j? 17
do j18=j17+(j17\==0) to h
if w.j18+w17>m then iterate j17;w18=w17+w.j18;v18=v17+v.j18;if v18>$ then call j? 18
do j19=j18+(j18\==0) to h
if w.j19+w18>m then iterate j18;w19=w18+w.j19;v19=v18+v.j19;if v19>$ then call j? 19
do j20=j19+(j19\==0) to h
if w.j20+w19>m then iterate j19;w20=w19+w.j20;v20=v19+v.j20;if v20>$ then call j? 20
do j21=j20+(j20\==0) to h
if w.j21+w20>m then iterate j20;w21=w20+w.j21;v21=v20+v.j21;if v21>$ then call j? 21
do j22=j21+(j21\==0) to h
if w.j22+w21>m then iterate j21;w22=w21+w.j22;v22=v21+v.j22;if v22>$ then call j? 22
do j23=j22+(j22\==0) to h
if w.j23+w22>m then iterate j22;w23=w22+w.j23;v23=v22+v.j23;if v23>$ then call j? 23
do j24=j23+(j23\==0) to h
if w.j24+w23>m then iterate j23;w24=w23+w.j24;v24=v23+v.j24;if v24>$ then call j? 24
do j25=j24+(j24\==0) to h
if w.j25+w24>m then iterate j24;w25=w24+w.j25;v25=v24+v.j25;if v25>$ then call j? 25
do j26=j25+(j25\==0) to h
if w.j26+w25>m then iterate j25;w26=w25+w.j26;v26=v25+v.j26;if v26>$ then call j? 26
do j27=j26+(j26\==0) to h
if w.j27+w26>m then iterate j26;w27=w26+w.j27;v27=v26+v.j27;if v27>$ then call j? 27
do j28=j27+(j27\==0) to h
if w.j28+w27>m then iterate j27;w28=w27+w.j28;v28=v27+v.j28;if v28>$ then call j? 28
do j29=j28+(j28\==0) to h
if w.j29+w28>m then iterate j28;w29=w28+w.j29;v29=v28+v.j29;if v29>$ then call j? 29
do j30=j29+(j29\==0) to h
if w.j30+w29>m then iterate j29;w30=w29+w.j30;v30=v29+v.j30;if v30>$ then call j? 30
do j31=j30+(j30\==0) to h
if w.j31+w30>m then iterate j30;w31=w30+w.j31;v31=v30+v.j31;if v31>$ then call j? 31
do j32=j31+(j31\==0) to h
if w.j32+w31>m then iterate j31;w32=w31+w.j32;v32=v31+v.j32;if v32>$ then call j? 32
do j33=j32+(j32\==0) to h
if w.j33+w32>m then iterate j32;w33=w32+w.j33;v33=v32+v.j33;if v33>$ then call j? 33
do j34=j33+(j33\==0) to h
if w.j34+w33>m then iterate j33;w34=w33+w.j34;v34=v33+v.j34;if v34>$ then call j? 34
do j35=j34+(j34\==0) to h
if w.j35+w34>m then iterate j34;w35=w34+w.j35;v35=v34+v.j35;if v35>$ then call j? 35
do j36=j35+(j35\==0) to h
if w.j36+w35>m then iterate j35;w36=w35+w.j36;v36=v35+v.j36;if v36>$ then call j? 36
do j37=j36+(j36\==0) to h
if w.j37+w36>m then iterate j36;w37=w36+w.j37;v37=v36+v.j37;if v37>$ then call j? 37
/*─────────────────────────────────────SIM37 subroutine──────────────────────────────────────────────────────────────────────────────────────────*/
sim37: h=items; $=0
do j1 =0 for h+1; w1= w.j1 ; v1= v.j1 ; if v1>$ then call j? 1
do j2 =j1 +(j1 \==0) to h; if w.j2 +w1 >m then iterate j1; w2=w1 +w.j2 ; v2=v1 +v.j2 ; if v2>$ then call j? 2
do j3 =j2 +(j2 \==0) to h; if w.j3 +w2 >m then iterate j2; w3=w2 +w.j3 ; v3=v2 +v.j3 ; if v3>$ then call j? 3
do j4 =j3 +(j3 \==0) to h; if w.j4 +w3 >m then iterate j3; w4=w3 +w.j4 ; v4=v3 +v.j4 ; if v4>$ then call j? 4
do j5 =j4 +(j4 \==0) to h; if w.j5 +w4 >m then iterate j4; w5=w4 +w.j5 ; v5=v4 +v.j5 ; if v5>$ then call j? 5
do j6 =j5 +(j5 \==0) to h; if w.j6 +w5 >m then iterate j5; w6=w5 +w.j6 ; v6=v5 +v.j6 ; if v6>$ then call j? 6
do j7 =j6 +(j6 \==0) to h; if w.j7 +w6 >m then iterate j6; w7=w6 +w.j7 ; v7=v6 +v.j7 ; if v7>$ then call j? 7
do j8 =j7 +(j7 \==0) to h; if w.j8 +w7 >m then iterate j7; w8=w7 +w.j8 ; v8=v7 +v.j8 ; if v8>$ then call j? 8
do j9 =j8 +(j8 \==0) to h; if w.j9 +w8 >m then iterate j8; w9=w8 +w.j9 ; v9=v8 +v.j9 ; if v9>$ then call j? 9
do j10=j9 +(j9 \==0) to h; if w.j10+w9 >m then iterate j9; w10=w9 +w.j10; v10=v9 +v.j10; if v10>$ then call j? 10
do j11=j10+(j10\==0) to h; if w.j11+w10>m then iterate j10; w11=w10+w.j11; v11=v10+v.j11; if v11>$ then call j? 11
do j12=j11+(j11\==0) to h; if w.j12+w11>m then iterate j11; w12=w11+w.j12; v12=v11+v.j12; if v12>$ then call j? 12
do j13=j12+(j12\==0) to h; if w.j13+w12>m then iterate j12; w13=w12+w.j13; v13=v12+v.j13; if v13>$ then call j? 13
do j14=j13+(j13\==0) to h; if w.j14+w13>m then iterate j13; w14=w13+w.j14; v14=v13+v.j14; if v14>$ then call j? 14
do j15=j14+(j14\==0) to h; if w.j15+w14>m then iterate j14; w15=w14+w.j15; v15=v14+v.j15; if v15>$ then call j? 15
do j16=j15+(j15\==0) to h; if w.j16+w15>m then iterate j15; w16=w15+w.j16; v16=v15+v.j16; if v16>$ then call j? 16
do j17=j16+(j16\==0) to h; if w.j17+w16>m then iterate j16; w17=w16+w.j17; v17=v16+v.j17; if v17>$ then call j? 17
do j18=j17+(j17\==0) to h; if w.j18+w17>m then iterate j17; w18=w17+w.j18; v18=v17+v.j18; if v18>$ then call j? 18
do j19=j18+(j18\==0) to h; if w.j19+w18>m then iterate j18; w19=w18+w.j19; v19=v18+v.j19; if v19>$ then call j? 19
do j20=j19+(j19\==0) to h; if w.j20+w19>m then iterate j19; w20=w19+w.j20; v20=v19+v.j20; if v20>$ then call j? 20
do j21=j20+(j20\==0) to h; if w.j21+w20>m then iterate j20; w21=w20+w.j21; v21=v20+v.j21; if v21>$ then call j? 21
do j22=j21+(j21\==0) to h; if w.j22+w21>m then iterate j21; w22=w21+w.j22; v22=v21+v.j22; if v22>$ then call j? 22
do j23=j22+(j22\==0) to h; if w.j23+w22>m then iterate j22; w23=w22+w.j23; v23=v22+v.j23; if v23>$ then call j? 23
do j24=j23+(j23\==0) to h; if w.j24+w23>m then iterate j23; w24=w23+w.j24; v24=v23+v.j24; if v24>$ then call j? 24
do j25=j24+(j24\==0) to h; if w.j25+w24>m then iterate j24; w25=w24+w.j25; v25=v24+v.j25; if v25>$ then call j? 25
do j26=j25+(j25\==0) to h; if w.j26+w25>m then iterate j25; w26=w25+w.j26; v26=v25+v.j26; if v26>$ then call j? 26
do j27=j26+(j26\==0) to h; if w.j27+w26>m then iterate j26; w27=w26+w.j27; v27=v26+v.j27; if v27>$ then call j? 27
do j28=j27+(j27\==0) to h; if w.j28+w27>m then iterate j27; w28=w27+w.j28; v28=v27+v.j28; if v28>$ then call j? 28
do j29=j28+(j28\==0) to h; if w.j29+w28>m then iterate j28; w29=w28+w.j29; v29=v28+v.j29; if v29>$ then call j? 29
do j30=j29+(j29\==0) to h; if w.j30+w29>m then iterate j29; w30=w29+w.j30; v30=v29+v.j30; if v30>$ then call j? 30
do j31=j30+(j30\==0) to h; if w.j31+w30>m then iterate j30; w31=w30+w.j31; v31=v30+v.j31; if v31>$ then call j? 31
do j32=j31+(j31\==0) to h; if w.j32+w31>m then iterate j31; w32=w31+w.j32; v32=v31+v.j32; if v32>$ then call j? 32
do j33=j32+(j32\==0) to h; if w.j33+w32>m then iterate j32; w33=w32+w.j33; v33=v32+v.j33; if v33>$ then call j? 33
do j34=j33+(j33\==0) to h; if w.j34+w33>m then iterate j33; w34=w33+w.j34; v34=v33+v.j34; if v34>$ then call j? 34
do j35=j34+(j34\==0) to h; if w.j35+w34>m then iterate j34; w35=w34+w.j35; v35=v34+v.j35; if v35>$ then call j? 35
do j36=j35+(j35\==0) to h; if w.j36+w35>m then iterate j35; w36=w35+w.j36; v36=v35+v.j36; if v36>$ then call j? 36
do j37=j36+(j36\==0) to h; if w.j37+w36>m then iterate j36; w37=w36+w.j37; v37=v36+v.j37; if v37>$ then call j? 37
end;end;end;end;end;end;end;end;end;end;end;end;end;end;end;end;end;end;end;end;end;end;end;end;end;end;end;end;end;end;end;end;end;end;end;end;end
return