Another update from ingydotnet^djgoku

This commit is contained in:
Ingy döt Net 2015-11-18 06:14:39 +00:00
parent 91df62d461
commit 948b86eafa
7604 changed files with 108452 additions and 22726 deletions

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using MathProgBase
immutable KPDSupply{S<:String, T<:Integer}
item::S
weight::T
value::T
quant::T
end
function solve{S<:String, T<:Integer}(gear::Array{KPDSupply{S,T},1},
capacity::T)
w = map(x->x.weight, gear)
v = map(x->x.value, gear)
q = map(x->x.quant, gear)
sol = mixintprog(-v, w', '<', capacity, :Int, 0, q)
sol.status == :Optimal || error("This Problem could not be solved")
if all(q .== 1)
return gear[sol.sol .== 1.0]
else
pack = KPDSupply[]
s = int(sol.sol)
for (i, g) in enumerate(gear)
s[i] != 0 || continue
push!(pack, KPDSupply(g.item, g.weight, g.value, s[i]))
end
return pack
end
end

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gear = [KPDSupply("map", 9, 150, 1),
KPDSupply("compass", 13, 35, 1),
KPDSupply("water", 153, 200, 2),
KPDSupply("sandwich", 50, 60, 2),
KPDSupply("glucose", 15, 60, 2),
KPDSupply("tin", 68, 45, 3),
KPDSupply("banana", 27, 60, 3),
KPDSupply("apple", 39, 40, 3),
KPDSupply("cheese", 23, 30, 1),
KPDSupply("beer", 52, 10, 3),
KPDSupply("suntan cream", 11, 70, 1),
KPDSupply("camera", 32, 30, 1),
KPDSupply("T-shirt", 24, 15, 2),
KPDSupply("trousers", 48, 10, 2),
KPDSupply("umbrella", 73, 40, 1),
KPDSupply("waterproof trousers", 42, 70, 1),
KPDSupply("waterproof overclothes", 43, 75, 1),
KPDSupply("note-case", 22, 80, 1),
KPDSupply("sunglasses", 7, 20, 1),
KPDSupply("towel", 18, 12, 2),
KPDSupply("socks", 4, 50, 1),
KPDSupply("book", 30, 10, 2)]
pack = solve(gear, 400)
println("The hiker should pack:")
for s in pack
println(" ", s.quant, " ", s.item)
end
println()
println("Packed Weight: ", mapreduce(x->x.weight*x.quant, +, pack))
println("Packed Value: ", mapreduce(x->x.value*x.quant, +, pack))

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/*REXX pgm solves a knapsack problem (22 items +repeats, wt. restriction*/
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*/
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. */
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
/*REXX pgm solves a knapsack problem (22 items + repeats, weight restriction. */
call @gen /*generate items and initializations. */
call @sort /*sort items by decreasing their weight*/
call bOBJ /*build a list of choices (objects). */
call showOBJ /*display the list of choices (objects)*/
call sim37 /*examine and find the possible choices*/
call showBest /*display best choice (weight, value).*/
exit /*stick a fork in it, we're all 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 /*maximum quantity specified (if any). */
maxWeight=400 /*the maximum weight for the knapsack. */
maxL=length('knapsack items') /* " " width for the table names*/
maxW=length('weight') /* " " " " " weights. */
maxV=length('value') /* " " " " " values. */
maxQ=length('pieces') /* " " " " " quantity.*/
items=0; i.=; w.=0; v.=0; q.=0 /*initialize some stuff and things. */
Tw=0; Tv=0; Tq=0; m=maxWeight /* " more " " " */
say; say 'maximum weight allowed for a knapsack: ' commas(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. */
/*────────────────────────────────@SORT subroutine────────────────────────────*/
@sort: do j=1 while @.j\=='' /*process each choice and sort the item*/
_=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. */
end /*j*/ /* [↑] minimizes the # of combinations*/
obj=j-1 /*adjust for the DO loop index. */
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. */
/*────────────────────────────────BOBJ subroutine─────────────────────────────*/
bOBJ: do j=1 for obj /*build a list of choices (objects). */
parse var @.j item w v q . /*parse the original choice for table. */
if w>maxWeight then iterate /*Is the weight > maximum? Then ignore*/
Tw=Tw+w; Tv=Tv+v; Tq=Tq+1 /*add the totals up (for alignment). */
maxL=max(maxL, length(item)) /*find the maximum width for an item. */
if q=='' then q=1
highQ=max(highQ, q)
items=items+1 /*bump the item counter. */
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 (pieces).*/
do k=2 to q; items=items+1 /*bump the item counter (each piece). */
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.*/
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)
maxW=max(maxW, length(commas(Tw))) /*find the maximum width for weight. */
maxV=max(maxV, length(commas(Tv))) /* " " " " " value. */
maxQ=max(maxQ, length(commas(Tq))) /* " " " " " quantity. */
maxL=maxL + maxL %4 + 4 /*extend the width of name for table. */
return /* [↑] % is REXX integer division. */
/*────────────────────────────────comma subroutine────────────────────────────*/
commas: procedure; parse arg _; n=_'.9'; #=123456789; b=verify(n,#,"M")
e=verify(n,#'0',,verify(n,#"0.",'M'))-4
do j=e to b by -3; _=insert(',',_,j); end /*j*/; 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('' ,_ )
/*────────────────────────────────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───────────────────────*/
/*────────────────────────────────J? subroutine──────────-────────────────────*/
j?: parse arg _,?; $=value('V'_); do j=1 for _; ?=? value('J'j); end; return
/*────────────────────────────────SHOW subroutine─────────────────────────────*/
show: parse arg _item, _weight, _value, _quant
say translate(left(_item, maxL,''), ,'_'),
right(comma(_weight), maxW),
right(comma(_value ), maxV),
right(comma(_quant ), maxQ)
say translate(left(_item, maxL,''), ,'_'),
right(commas(_weight), maxW),
right(commas(_value ), maxV),
right(commas(_quant ), maxQ)
return
/*──────────────────────────────────SHOWOBJ subroutine──────────────────*/
showOBJ: call hdr 'item'; do j=1 for obj /*show choices, formatted.*/
parse var @.j item weight value q .
if highq==1 then q=
else if q=='' then q=1
call show item, weight, value, q
end /*j*/
/*──────────────────────────────────SHOWOBJ subroutine────────────────────────*/
showOBJ: call hdr 'item'; do j=1 for obj /*show the formatted choices. */
parse var @.j item weight value q .
if highq==1 then q=
else if q=='' then q=1
call show item, weight, value, q
end /*j*/
say; say 'number of items (with repetitions): ' items; say
return
/*──────────────────────────────────SHOWBEST subroutine─────────────────*/
showBest: do h-1; ?=strip(strip(?), "L", 0); end
bestC=?; bestW=0; bestV=$; highQ=0; totP=words(bestC); say; say
/*──────────────────────────────────SHOWBEST subroutine───────────────────────*/
showBest: do h-1; ?=strip(strip(?), "L", 0); end /*h-1*/
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
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
end /*k*/
call show i._, w._, v._, q; bestW=bestw+w._
end /*j*/
__=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._
end /*j*/
call hdr2; say
call show 'best weight' , bestW /*show a nicely formatted winnerW*/
call show 'best value' , , bestV /* " " " " winnerV*/
call show 'knapsack items', , , totP /* " " " " pieces.*/
call show 'best weight' , bestW /*show a nicely formatted winnerW*/
call show 'best value' , , bestV /* " " " " winnerV*/
call show 'knapsack items', , , totP /* " " " " pieces.*/
return
/*─────────────────────────────────────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
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
return /* [↑] there is one END for each of the DO loops. */