1. package algorithms.analysis14; import algorithms.util.StdOut; import algorithms.util.StdRandom; /****************************************************************************** * Compilation: javac DoublingTest.java * Execution: java DoublingTest *…

1. package algorithms.analysis14; import algorithms.util.In; import algorithms.util.StdOut; /****************************************************************************** * Compilation: javac TwoSum.java * Execution: java TwoSum input.txt * Dependen…

Given an array a[] of N real numbers, design a linear-time algorithm to find the maximum value of a[j] - a[i] where j ≥ i. package algorithms.analysis14; public class Best { public static void main(String[] args) { double[] a = {5.0, 4.0, 3.0 ,6.0,1.…

package algorithms.analysis14; import algorithms.util.StdOut; import algorithms.util.StdRandom; /****************************************************************************** * Compilation: javac BitonicMax.java * Execution: java BitonicMax N * Depe…

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For many programs, developing a mathematical model of running timereduces to the following steps:■Develop an input model, including a definition of the problem size.■ Identify the inner loop.■ Define a cost model that includes operations in the inner…

一. 方法可以调用自己(如果你对递归概念感到奇怪,请完成练习 1.1.16 到练习 1.1.22).例如,下面给出了 BinarySearch 的 rank() 方法的另一种实现.我们会经常使用递归,因为递归代码比相应的非递归代码更加简洁优雅.易懂.下面这种实现中的注释就言简意赅地说明了代码的作用.我们可以用数学归纳法证明这段注释所解释的算法的正确性.我们会在 3.1 节中展开这个话题并为二分查找提供一个这样的证明.编写递归代码时最重要的有以下三点.‰ 递归总有一个最简单的情况——方法的第一条语…

一.介绍 1.算法的时间和空间间复杂度 2.特点 Running time is insensitive to input. The process of finding the smallest item on onepass through the array does not give much information about where the smallest itemmight be on the next pass. This property can be disadvant…

一. 1. 2. 3. 二.代码 package algorithms.mergesort22; import algorithms.util.StdIn; import algorithms.util.StdOut; /****************************************************************************** * Compilation: javac MergeBU.java * Execution: java MergeBU…