RosettaCodeData/Task/Knapsack-problem-0-1/Pascal/knapsack-problem-0-1.pascal

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program project1;
uses
sysutils, classes, math;
const
MaxWeight = 400;
N = 21;
type
TMaxArray = array[0..N, 0..MaxWeight] of integer;
TEquipment = record
Description : string;
Weight : integer;
Value : integer;
end;
TEquipmentList = array[1..N] of TEquipment;
var
M:TMaxArray;
MaxValue, WeightLeft, i, j, Sum : integer;
S,KnapSack:TStringList;
L:string;
List:TEquipmentList;
begin
//Put all the items into an array called List
L:='map ,9 ,150,compass ,13 ,35 ,water ,153 ,200 ,sandwich,50 ,160 ,glucose ,15 ,60 ,tin,68 ,45 ,banana,27,60 ,apple ,39 ,40 ,cheese ,23 ,30 ,beer ,52 ,10 ,suntancreme ,11 ,70 ,camera ,32 ,30 ,T-shirt ,24 ,15 ,trousers ,48 ,40 ,waterprooftrousers ,42 ,70 ,waterproofoverclothes ,43 ,75 ,notecase ,22 ,80 ,sunglasses ,7 ,20 ,towel ,18 ,12 ,socks ,4 ,50 ,book ,30 ,10';
S:=TStringList.create;
S.Commatext:=L;
For i:= 1 to N do
begin
List[i].Description:=S[3*i - 3];
List[i].Weight:=strtoint(S[3*i - 2]);
List[i].Value:=strtoint(S[3*i - 1]);
end;
//create M, a table linking the possible items for each weight
//and recording the value at that point
for j := 0 to MaxWeight do
M[0, j] := 0
for i := 1 to N do
for j := 0 to MaxWeight do
if List[i].weight > j then
M[i, j] := M[i-1, j]
else
M[i, j] := max(M[i-1, j], M[i-1, j-List[i].weight] + List[i].value);
//get the highest total value by testing every value in table M
for i:=1 to N do
for j:= 0 to MaxWeight do
If M[i,j] > MaxValue then
MaxValue := m[i,j];
writeln('Highest total value : ',MaxValue);
//Work backwards through the items to find those items that go in the Knapsack (a stringlist)
KnapSack := TStringList.create;
WeightLeft := MaxWeight;
For i:= N downto 1 do
if M[i,WeightLeft] = MaxValue then
if M[i-1, WeightLeft - List[i].Weight] = MaxValue - List[i].Value then
begin
Knapsack.add(List[i].Description + ' ' + IntToStr(List[i].Weight)+ ' ' + inttostr(List[i].Value));
MaxValue := MaxValue - List[i].Value;
WeightLeft := WeightLeft - List[i].Weight;
end
//Show the items in the knapsack
writeln('Number of items : ',KnapSack.count);
writeln('-------------------------');
For i:= KnapSack.count-1 downto 0 do
writeln(KnapSack[i]);
KnapSack.free;
S.free;
writeln('-------------------------');
writeln('done');
readln;
end.