public static void Main(string[] args)
{
// int n = 6;
int[] weights = new int[] { 3, 8, 4, 1, 2, 8 };
int[] costs = new int[] { 2, 12, 5, 4, 3, 13 };
int maxWeight = 10;
FindHighestCostAndWeightBagNoDuplicates(weights, costs, maxWeight);
Product[] products = new Product[]
{
new Product("Beer", 3, 2),
new Product("Vodka", 8, 12),
new Product("Трошия", 4, 7),
new Product("Nuts", 1, 4),
new Product("Сланина", 3, 6),
new Product("Whiskey", 8, 13),
new Product("Ракия", 3, 5),
};
FindHighestCostAndWeightBagNoDuplicates(products, maxWeight);
maxWeight = 23;
products = new Product[]
{
new Product("Трошия", 6, 6),
new Product("Сланина", 8, 7),
new Product("Ракия", 7, 7),
};
FindHighestCostAndWeightBagWithDuplicates(products, maxWeight);
}
public static void Main()
{
int n = 6;
int volume = 10;
Product[] products = new Product[] {
new Product("beer", 3, 2),
new Product("vodka", 8, 12),
new Product("cheese", 4, 5),
new Product("nuts", 1, 4),
new Product("ham", 2, 3),
new Product("whiskey", 8, 13),
};
//initialize solution matrix
//rows - knapsack volumes from 0 to volume; cols - products from 0 to the last product
int[,] solution = new int[n + 1, volume + 1];
int[,] backtracking = new int[n + 1, volume + 1];
//fill matrix
for (int row = 1; row < solution.GetLength(0); row++)
{
var currentProductWeight = products[row - 1].Weight;
var currentProductCost = products[row - 1].Cost;
for (int col = 1; col < solution.GetLength(1); col++)
{
var valuewWithoutCurrent = solution[row - 1, col];
var valueWithCurrent = 0;
if (col - currentProductWeight >= 0)
{
valueWithCurrent = solution[row - 1, col - currentProductWeight] + currentProductCost;
}
if (valueWithCurrent >= valuewWithoutCurrent)
{
solution[row, col] = valueWithCurrent;
backtracking[row, col] = col - currentProductWeight;
}
else
{
solution[row, col] = valuewWithoutCurrent;
}
}
}
PrintSolution(solution, backtracking, products);
}
private static void PrintSolution(int[,] solution, int[,] backtracking, Product[] products)
{
for (int i = 0; i < solution.GetLength(0); i++)
{
for (int j = 0; j < solution.GetLength(1); j++)
{
Console.Write("{0, 2} ", solution[i,j]);
}
Console.WriteLine();
}
Console.WriteLine("----------------------------------------");
int maxCost = 0;
int rowIndex = 0;
int lastCol = solution.GetLength(1) - 1;
int lastRow = solution.GetLength(0) - 1;
for (int row = 0; row < solution.GetLength(0); row++)
{
if (solution[row, lastCol] > maxCost)
{
maxCost = solution[row, lastCol];
rowIndex = row;
}
}
Console.WriteLine("Max cost: " + maxCost);
int colIndex = lastCol;
for (int row = rowIndex; row > 0; row--)
{
if (solution[row, colIndex] != solution[row - 1, colIndex])
{
Console.WriteLine(products[row - 1].Name);
colIndex = backtracking[row, colIndex];
}
}
Console.WriteLine("----------------------------------------");
}
private static void FindHighestCostAndWeightBagNoDuplicates(Product[] products, int maxBasketWeight)
{
bool[] possibleWeights = new bool[maxBasketWeight + 1];
int[] possibleCosts = new int[maxBasketWeight + 1];
string[] possibleProducts = new string[maxBasketWeight + 1];
possibleWeights[0] = true;
int maxWeight = 0;
int tempMaxWeight = 0;
int maxCostIndex = 0;
foreach (var product in products)
{
for (int i = maxWeight; i >= 0; i--)
{
if (possibleWeights[i])
{
var currentWeight = i + product.Weight;
if (currentWeight > maxBasketWeight)
{
continue;
}
if (tempMaxWeight < currentWeight)
{
tempMaxWeight = currentWeight;
}
var newCost = possibleCosts[i] + product.Price;
if (possibleCosts[currentWeight] < newCost)
{
possibleCosts[currentWeight] = newCost;
var currentProducts = possibleProducts[i];
if (currentProducts == null)
{
possibleProducts[currentWeight] = product.Name;
}
else
{
possibleProducts[currentWeight] = currentProducts + ", " + product.Name;
}
if (possibleCosts[maxCostIndex] <= newCost)
{
maxCostIndex = currentWeight;
}
}
possibleWeights[currentWeight] = true;
}
}
maxWeight = tempMaxWeight;
}
Console.WriteLine("\nПродукти: {0} \nТегло: {1} \nСтойност: {2}\n", possibleProducts[maxCostIndex], maxCostIndex, possibleCosts[maxCostIndex]);
}