A-M baby
This commit is contained in:
Ingy döt Net
parent
764da6cbbb
commit
db842d013d
19005 changed files with 197040 additions and 7 deletions
202
Task/Knapsack-problem-Bounded/REXX/knapsack-problem-bounded.rexx
Normal file
202
Task/Knapsack-problem-Bounded/REXX/knapsack-problem-bounded.rexx
Normal file
|
|
@ -0,0 +1,202 @@
|
|||
/*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'
|
||||
|
||||
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*/
|
||||
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)
|
||||
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*/
|
||||
|
||||
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)
|
||||
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 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*/
|
||||
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
|
||||
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
|
||||
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
|
||||
Loading…
Add table
Add a link
Reference in a new issue