矩阵连乘问题

教材王晓东版算法设计与分析

public static void matrixChain(int [] p, int [][] m, int [][] s)
   {
      int n=p.length-1;
      for (int i = 1; i <= n; i++) m[i][i] = 0;
      for (int r = 2; r <= n; r++)//the length of i-j
         for (int i = 1; i <= n - r+1; i++) {
            int j=i+r-1;
            m[i][j] = m[i+1][j]+ p[i-1]*p[i]*p[j];//在i处断开
            s[i][j] = i;//记录断开位置
            for (int k = i+1; k < j; k++) {
               // k from i+1 to j
               int t = m[i][k] + m[k+1][j] + p[i-1]*p[k]*p[j];
	       //row_i*col_i*col_j p[i] is the rows of matix i
               if (t < m[i][j]) {//find the best k
                 m[i][j] = t;
                 s[i][j] = k;}
               }
            }
   }