program KnapsackBounded; {$mode objfpc}{$j-} uses SysUtils, Math; type TItem = record Name: string; Weight, Value, Count: Integer; end; const NUM_ITEMS = 22; ITEMS: array[0..NUM_ITEMS-1] of TItem = ( (Name: 'map'; Weight: 9; Value: 150; Count: 1), (Name: 'compass'; Weight: 13; Value: 35; Count: 1), (Name: 'water'; Weight: 153; Value: 200; Count: 2), (Name: 'sandwich'; Weight: 50; Value: 60; Count: 2), (Name: 'glucose'; Weight: 15; Value: 60; Count: 2), (Name: 'tin'; Weight: 68; Value: 45; Count: 3), (Name: 'banana'; Weight: 27; Value: 60; Count: 3), (Name: 'apple'; Weight: 39; Value: 40; Count: 3), (Name: 'cheese'; Weight: 23; Value: 30; Count: 1), (Name: 'beer'; Weight: 52; Value: 10; Count: 3), (Name: 'suntan cream'; Weight: 11; Value: 70; Count: 1), (Name: 'camera'; Weight: 32; Value: 30; Count: 1), (Name: 'T-shirt'; Weight: 24; Value: 15; Count: 2), (Name: 'trousers'; Weight: 48; Value: 10; Count: 2), (Name: 'umbrella'; Weight: 73; Value: 40; Count: 1), (Name: 'waterproof trousers'; Weight: 42; Value: 70; Count: 1), (Name: 'waterproof overclothes'; Weight: 43; Value: 75; Count: 1), (Name: 'note-case'; Weight: 22; Value: 80; Count: 1), (Name: 'sunglasses'; Weight: 7; Value: 20; Count: 1), (Name: 'towel'; Weight: 18; Value: 12; Count: 2), (Name: 'socks'; Weight: 4; Value: 50; Count: 1), (Name: 'book'; Weight: 30; Value: 10; Count: 2) ); MAX_WEIGHT = 400; var D: array of array of Integer; //DP matrix I, W, V, C, MaxWeight: Integer; begin SetLength(D, NUM_ITEMS + 1, MAX_WEIGHT + 1); for I := 0 to High(ITEMS) do for W := 0 to MAX_WEIGHT do begin D[I+1, W] := D[I, W]; for C := 1 to ITEMS[I].Count do begin if ITEMS[I].Weight * C > W then break; V := D[I, W - ITEMS[I].Weight * C] + ITEMS[I].Value * C; if V > D[I+1, W] then D[I+1, W] := V; end; end; W := MAX_WEIGHT; MaxWeight := 0; WriteLn('bagged:'); for I := High(ITEMS) downto 0 do begin V := D[I+1, W]; C := 0; while V <> D[I, W] + ITEMS[I].Value * C do begin Dec(W, ITEMS[I].Weight); Inc(C); end; Inc(MaxWeight, C * ITEMS[I].Weight); if C <> 0 then WriteLn(' ', C, ' ', ITEMS[I].Name); end; WriteLn('value = ', D[NUM_ITEMS, MAX_WEIGHT]); WriteLn('weight = ', MaxWeight); end.