// PascalABC.NET 3.3, сборка 1607 от 31.12.2017
// Внимание! Если программа не работает, обновите версию!
const
cunit=1000;
DISCOUNT_PER_UNIT=500;
MAX_DISCOUNT=0.2;
function getTotalCost(firstCost,secondCost,fullUnits:real):real;
begin
var couponSum:=fullUnits*DISCOUNT_PER_UNIT;
var secondCostWithDiscount:=
secondCost-Min(MAX_DISCOUNT*secondCost,couponSum);
Result:=firstCost+secondCostWithDiscount
end;
function solveKnapsack(weights:array of integer; totalWeight:integer):
array of integer;
begin
var maxUnits:=Trunc(totalWeight/cunit+1);
var old:=ArrFill(maxUnits+1,totalWeight);
old[0]:=0;
var cur:=new integer[maxUnits+1];
var n:=weights.Length;
for var pos:=0 to n-1 do begin
cur.Fill(t->totalWeight);
for var units:=0 to maxUnits do begin
cur[units]:=Min(cur[units],old[units]);
var add:=Trunc(weights[pos]/cunit);
if units-add >= 0 then
cur[units]:=Min(cur[units],old[units-add]+weights[pos])
end;
cur.CopyTo(old,0);
end;
Result:=old;
end;
function getSolution(costs:array of integer):real;
begin
var n:=costs.Length;
var totalCost:=0;
for var i:=0 to n-1 do totalCost+=costs[i];
var minForUnits:=solveKnapsack(costs,totalCost);
Result:=totalCost;
var maxUnits:=Trunc(totalCost/cunit+1);
for var units:=0 to maxUnits do begin
var cur:real:=minForUnits[units];
Result:=Min(Result,getTotalCost(minForUnits[units],totalCost-cur,units))
end
end;
begin
Writeln(getSolution(ReadArrInteger(ReadInteger)):0:2)
end.
Пример
15
1131 2764 1249 3885 4971 2526 1506 1919 520 3094 2183 2503 277 2293 4477
30415.40