/// <summary>
/// 金额的 动态分配算法
/// </summary>
public static void FindCosts()
{
// 定义费用明细列表
List<(decimal amount, string name)> costDetails = new List<(decimal, string)> {
(10.50M, "Item 1"),
(20.00M, "Item 2"),
(5.00M, "Item 3"),
(3.00M, "Item 4"),
(12.75M, "Item 5")
};
// 定义总金额
decimal totalAmount = 30.50M;
// 定义动态规划表格
bool[,] dp = new bool[costDetails.Count + 1, (int)(totalAmount * 100) + 1];
// 初始化表格
for (int i = 0; i <= costDetails.Count; i++)
{
dp[i, 0] = true;
}
// 填充表格
for (int i = 1; i <= costDetails.Count; i++)
{
for (int j = 1; j <= (int)(totalAmount * 100); j++)
{
if (costDetails[i - 1].amount * 100 <= j)
{
dp[i, j] = dp[i - 1, j] || dp[i - 1, j - (int)(costDetails[i - 1].amount * 100)];
}
else
{
dp[i, j] = dp[i - 1, j];
}
}
}
// 找到符合条件的费用明细
List<(decimal amount, string name)> result = new List<(decimal, string)>();
int row = costDetails.Count;
int col = (int)(totalAmount * 100);
while (row > 0 && col > 0)
{
if (dp[row, col] && !dp[row - 1, col])
{
result.Add(costDetails[row - 1]);
col -= (int)(costDetails[row - 1].amount * 100);
}
row--;
}
// 输出结果
if (result.Count > 0)
{
Console.WriteLine("成本加起来等于{0:C}的细节:", totalAmount);
foreach ((decimal amount, string name) in result)
{
Console.WriteLine("{0:C}\t{1}", amount, name);
}
}
else
{
Console.WriteLine("没有成本细节{0:C}", totalAmount);
}
}