/*REXX program solves the knapsack/unbounded problem: highest value, weight, and volume.*/ /* value weight volume */ maxPanacea=0 /* ═══════ ══════ ══════ */ maxIchor =0; panacea.$ = 3000 ; panacea.w = 0.3 ; panacea.v = 0.025 maxGold =0; ichor.$ = 1800 ; ichor.w = 0.2 ; ichor.v = 0.015 max$ =0; gold.$ = 2500 ; gold.w = 2 ; gold.v = 0.002 now. =0; sack.$ = 0 ; sack.w = 25 ; sack.v = 0.25 maxPanacea= min(sack.w / panacea.w, sack.v / panacea.v) maxIchor = min(sack.w / ichor.w, sack.v / ichor.v) maxGold = min(sack.w / gold.w, sack.v / gold.v) do p=0 to maxPanacea do i=0 to maxIchor do g=0 to maxGold now.$= g * gold.$ + i * ichor.$ + p * panacea.$ now.w= g * gold.w + i * ichor.w + p * panacea.w now.v= g * gold.v + i * ichor.v + p * panacea.v if now.w > sack.w | now.v > sack.v then iterate if now.$ > max$ then do; maxP=p; maxI=i; maxG=g max$=now.$; maxW=now.w; maxV=now.v end end /*g (gold) */ end /*i (ichor) */ end /*p (panacea)*/ Ctot = maxP + maxI + maxG; L = length(Ctot) + 1 say ' panacea in sack:' right(maxP, L) say ' ichors in sack:' right(maxI, L) say ' gold items in sack:' right(maxG, L) say '════════════════════' copies("═", L) say 'carrying a total of:' right(cTot, L) say left('', 40) "total value: " max$ / 1 say left('', 40) "total weight: " maxW / 1 say left('', 40) "total volume: " maxV / 1 /*stick a fork in it, we're all done. */