Algorithm 如何理解线性划分中的动态规划解？
我正在努力理解线性划分问题的动态规划解决方案。我正在阅读第8.5节中描述的问题。这一节我读了无数遍，但我就是不明白。我认为这是一个糟糕的解释（到目前为止，我读到的内容要好得多），但我还不能很好地理解这个问题，从而寻找另一种解释。欢迎链接到更好的解释 我发现有一个页面的文本与这本书类似（可能是这本书的第一版）： 第一个问题：在书中的示例中，分区是按从最小到最大的顺序排列的。这只是巧合吗？从我所看到的元素顺序对算法来说并不重要 这是我对递归的理解： 让我们使用以下序列并将其划分为4个部分：Algorithm 如何理解线性划分中的动态规划解？,algorithm,partitioning,dynamic-programming,Algorithm,Partitioning,Dynamic Programming,我正在努力理解线性划分问题的动态规划解决方案。我正在阅读第8.5节中描述的问题。这一节我读了无数遍，但我就是不明白。我认为这是一个糟糕的解释（到目前为止，我读到的内容要好得多），但我还不能很好地理解这个问题，从而寻找另一种解释。欢迎链接到更好的解释 我发现有一个页面的文本与这本书类似（可能是这本书的第一版）： 第一个问题：在书中的示例中，分区是按从最小到最大的顺序排列的。这只是巧合吗？从我所看到的元素顺序对算法来说并不重要 这是我对递归的理解： 让我们使用以下序列并将其划分为4个部分： {S1.
{S1...Sn} = 100 150 200 250 300 350 400 450 500
k = 4
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 150 200 250 300 | 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 150 200 250 | 300 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 150 200 | 250 300 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 150 | 200 250 300 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 | 150 200 250 300 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 | 350 400 | 450 | 500 //1 partition to go
100 150 200 250 | 300 | 350 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 | 350 400 | 450 | 500 //1 partition to go
100 150 200 | 250 300 | 350 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 | 350 400 | 450 | 500 //1 partition to go
100 150 | 200 250 300 | 350 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 | 350 400 | 450 | 500 //1 partition to go
100 | 150 200 250 300 | 350 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 150 200 250 300 | 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 150 200 250 | 300 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 150 200 | 250 300 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 150 | 200 250 300 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 | 150 200 250 300 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 | 350 400 | 450 | 500 //1 partition to go
100 150 200 250 | 300 | 350 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 | 350 400 | 450 | 500 //1 partition to go
100 150 200 | 250 300 | 350 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 | 350 400 | 450 | 500 //1 partition to go
100 150 | 200 250 300 | 350 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 | 350 400 | 450 | 500 //1 partition to go
100 | 150 200 250 300 | 350 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 150 200 250 300 | 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 150 200 250 | 300 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 150 200 | 250 300 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 150 | 200 250 300 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 | 150 200 250 300 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 | 350 400 | 450 | 500 //1 partition to go
100 150 200 250 | 300 | 350 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 | 350 400 | 450 | 500 //1 partition to go
100 150 200 | 250 300 | 350 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 | 350 400 | 450 | 500 //1 partition to go
100 150 | 200 250 300 | 350 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 | 350 400 | 450 | 500 //1 partition to go
100 | 150 200 250 300 | 350 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 150 200 250 300 | 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 150 200 250 | 300 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 150 200 | 250 300 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 150 | 200 250 300 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 | 150 200 250 300 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 | 350 400 | 450 | 500 //1 partition to go
100 150 200 250 | 300 | 350 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 | 350 400 | 450 | 500 //1 partition to go
100 150 200 | 250 300 | 350 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 | 350 400 | 450 | 500 //1 partition to go
100 150 | 200 250 300 | 350 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 | 350 400 | 450 | 500 //1 partition to go
100 | 150 200 250 300 | 350 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 150 200 250 300 | 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 150 200 250 | 300 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 150 200 | 250 300 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 150 | 200 250 300 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 | 150 200 250 300 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 | 350 400 | 450 | 500 //1 partition to go
100 150 200 250 | 300 | 350 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 | 350 400 | 450 | 500 //1 partition to go
100 150 200 | 250 300 | 350 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 | 350 400 | 450 | 500 //1 partition to go
100 150 | 200 250 300 | 350 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 | 350 400 | 450 | 500 //1 partition to go
100 | 150 200 250 300 | 350 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 150 200 250 300 | 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 150 200 250 | 300 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 150 200 | 250 300 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 150 | 200 250 300 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 | 150 200 250 300 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 | 350 400 | 450 | 500 //1 partition to go
100 150 200 250 | 300 | 350 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 | 350 400 | 450 | 500 //1 partition to go
100 150 200 | 250 300 | 350 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 | 350 400 | 450 | 500 //1 partition to go
100 150 | 200 250 300 | 350 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 | 350 400 | 450 | 500 //1 partition to go
100 | 150 200 250 300 | 350 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 150 200 250 300 | 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 150 200 250 | 300 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 150 200 | 250 300 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 150 | 200 250 300 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 | 150 200 250 300 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 | 350 400 | 450 | 500 //1 partition to go
100 150 200 250 | 300 | 350 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 | 350 400 | 450 | 500 //1 partition to go
100 150 200 | 250 300 | 350 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 | 350 400 | 450 | 500 //1 partition to go
100 150 | 200 250 300 | 350 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 | 350 400 | 450 | 500 //1 partition to go
100 | 150 200 250 300 | 350 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 150 200 250 300 | 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 150 200 250 | 300 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 150 200 | 250 300 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 150 | 200 250 300 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 | 150 200 250 300 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 | 350 400 | 450 | 500 //1 partition to go
100 150 200 250 | 300 | 350 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 | 350 400 | 450 | 500 //1 partition to go
100 150 200 | 250 300 | 350 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 | 350 400 | 450 | 500 //1 partition to go
100 150 | 200 250 300 | 350 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 | 350 400 | 450 | 500 //1 partition to go
100 | 150 200 250 300 | 350 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 150 200 250 300 | 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 150 200 250 | 300 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 150 200 | 250 300 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 150 | 200 250 300 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 350 | 400 | 450 | 500 //1 partition to go
100 | 150 200 250 300 350 | 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 | 350 400 | 450 | 500 //1 partition to go
100 150 200 250 | 300 | 350 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 | 350 400 | 450 | 500 //1 partition to go
100 150 200 | 250 300 | 350 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 | 350 400 | 450 | 500 //1 partition to go
100 150 | 200 250 300 | 350 400 | 450 | 500 //done
100 150 200 250 300 350 400 450 | 500 //3 partition to go
100 150 200 250 300 350 400 | 450 | 500 //2 partition to go
100 150 200 250 300 | 350 400 | 450 | 500 //1 partition to go
100 | 150 200 250 300 | 350 400 | 450 | 500 //done
分区（ints[]，intn，intk）
{
int m[MAXN+1][MAXK+1]；/*DP值表*/
int d[MAXN+1][MAXK+1]；/*用于除法器的DP表*/
int p[MAXN+1]；/*前缀和数组*/
整数成本；/*测试拆分成本*/
int i，j，x；/*计数器*/
p[0]=0；/*构造前缀和*/
对于（i=1；i请注意，书中对算法的解释有一个小错误，请查看文本“（*）第297页”
关于你的问题：
不需要，项目不需要排序，只需要连续（也就是说，您不能重新排列它们）
我认为可视化算法的最简单方法是手动跟踪重建分区
过程，使用图8.8中最右边的表作为指导
书中指出，m[i][j]是“将{s1，s2，…，si}划分为j个区间的所有可能的最小成本，其中一个区间的成本是其中一个区间中元素的最大总和”。换句话说，如果你原谅术语的滥用，它是“最小最大总和”。另一方面，d[i][j]存储用于为给定对i，j创建分区的索引位置，如前所述
有关“成本”的含义，请参见前面的答案
编辑：
这是我对线性分区算法的实现。它基于Skiena的算法，但以Python的方式；它返回一个分区列表
从操作员导入itemgetter
def线性分区（序号k）：
如果k n：
返回图（λx:[x]，序号）
表，解决方案=线性分区表（seq，k）
k、 ans=k-2，[]
当k>=0时：
ans=[[seq[i]表示X范围内的i（溶液[n-1][k]+1，n+1）]]+ans
n、 k=溶液[n-1][k]，k-1
返回[[seq[i]表示X范围内的i（0，n+1）]]+ans
def线性分区表（序号k）：
n=长度（序号）
表=[[0]*k表示x范围内的x（n）]
解决方案=[[0]*（k-1）对于x范围内的x（n-1）]
对于x范围内的i（n）：
表[i][0]=序号[i]+（表[i-1][0]
对于x范围内的j（k）：
表[0][j]=序号[0]
对于x范围内的i（1，n）：
对于x范围内的j（1，k）：
表[i][j]，溶液[i-1][j-1]=min(
（x范围（i）中x的最大值（表[x][j-1]，表[i][0]-表[x][0]），x），
key=itemgetter（0））
返回（表、解决方案）
我已经在PHP上实现了Óscar López算法。请随时使用它
/**
*例如：线性_划分（[9,2,6,3,8,5,8,1,7,3,4]，3）=>[9,2,6,3]，[8,5,8]，[1,7,3,4]]
*@param数组$seq
*@param int$k
*@return数组
*/
受保护函数线性分区（数组$seq，$k）
{
如果（$k$n）{
返回数组映射（函数（$x）{
返回数组（$x）；
}，$seq）；
}
list（$table，$solution）=$this->linear_partition_table（$seq，$k）；
$k=$k-2；
$ans=数组（）；
而（$k>=0）{
$ans=数组合并（数组（数组切片（$seq，$solution[$n-1][$k]+1，$n-$solution[$n-1][$k]）），$ans）；
$n=$solution[$n-1][$k]；
$k=$k-1；
}
返回数组\合并（数组（数组\切片（$seq，0，$n+1）），$ans）；
}
受保护函数线性分区表（$seq，$k）
{
$n=计数（$seq）；
$table=数组填充（0，$n，数组填充（0，$k，0））；
$solution=array_fill（0，$n-1，array_fill（0，$k-1，0））；
对于（$i=0；$i<$n；$i++）{
$table[$i][0]=$seq[$i]+（$i？$table[$i-1][0]：0）；
}
对于（$j=0；$j<$k；$j++）{
$table[0][$j]=$seq[0]；
}
对于（$i=1；$i<$n；$i++）{
对于（$j=1；$j<$k；$j++）{
$current_min=null；
$minx=PHP\u INT\u MAX；
对于（$x=0；$x<$i；$x++）{
$cost=max（$table[$x][$j-1]，$table[$i][0]-$table[$x][0]）；
如果（$current_min==null | |$cost<$current_min）{
$current_min=$cost；
$minx=$x；
}
}
$table[$i][$j]=$current\u min；
$solution[$i-1][$j-1]=$minx；
}
}
返回数组（$table，$solution）；
}
以下是对python中Skienna的线性分区算法的改进实现，该算法不计算最后k列的值，答案本身除外：M[N][k]（单元格计算仅取决于前一列）
一种针对输入{1,2,3,4,5,6,7,8,9}的测试（在Skienna中使用）