C# 金额的 动态分配算法

	/// <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);
            }
        }