算法Sedgewick第四版-第1章基础-2.1Elementary Sortss-002插入排序法(Insertion sort)
2016-04-22 11:48
417 查看
一、介绍
1.时间和空间复杂度
运行过程
2.特点:
(1)对于已排序或接近排好的数据,速度很快
(2)对于部分排好序的输入,速度快
二、代码
1.时间和空间复杂度
运行过程
2.特点:
(1)对于已排序或接近排好的数据,速度很快
(2)对于部分排好序的输入,速度快
二、代码
package algorithms.elementary21; /****************************************************************************** * Compilation: javac Insertion.java * Execution: java Insertion < input.txt * Dependencies: StdOut.java StdIn.java * Data files: http://algs4.cs.princeton.edu/21sort/tiny.txt * http://algs4.cs.princeton.edu/21sort/words3.txt * * Sorts a sequence of strings from standard input using insertion sort. * * % more tiny.txt * S O R T E X A M P L E * * % java Insertion < tiny.txt * A E E L M O P R S T X [ one string per line ] * * % more words3.txt * bed bug dad yes zoo ... all bad yet * * % java Insertion < words3.txt * all bad bed bug dad ... yes yet zoo [ one string per line ] * ******************************************************************************/ import java.util.Comparator; import algorithms.util.StdIn; import algorithms.util.StdOut; /** * The <tt>Insertion</tt> class provides static methods for sorting an * array using insertion sort. * <p> * This implementation makes ~ 1/2 N^2 compares and exchanges in * the worst case, so it is not suitable for sorting large arbitrary arrays. * More precisely, the number of exchanges is exactly equal to the number * of inversions. So, for example, it sorts a partially-sorted array * in linear time. * <p> * The sorting algorithm is stable and uses O(1) extra memory. * <p> * See <a href="http://algs4.cs.princeton.edu/21elementary/InsertionPedantic.java.html">InsertionPedantic.java</a> * for a version that eliminates the compiler warning. * <p> * For additional documentation, see <a href="http://algs4.cs.princeton.edu/21elementary">Section 2.1</a> of * <i>Algorithms, 4th Edition</i> by Robert Sedgewick and Kevin Wayne. * * @author Robert Sedgewick * @author Kevin Wayne */ public class Insertion { // This class should not be instantiated. private Insertion() { } /** * Rearranges the array in ascending order, using the natural order. * @param a the array to be sorted */ public static void sort(Comparable[] a) { int N = a.length; for (int i = 0; i < N; i++) { for (int j = i; j > 0 && less(a[j], a[j-1]); j--) { exch(a, j, j-1); } assert isSorted(a, 0, i); } assert isSorted(a); } /** * Rearranges the subarray a[lo..hi] in ascending order, using the natural order. * @param a the array to be sorted * @param lo left endpoint * @param hi right endpoint */ public static void sort(Comparable[] a, int lo, int hi) { for (int i = lo; i <= hi; i++) { for (int j = i; j > lo && less(a[j], a[j-1]); j--) { exch(a, j, j-1); } } assert isSorted(a, lo, hi); } /** * Rearranges the array in ascending order, using a comparator. * @param a the array * @param comparator the comparator specifying the order */ public static void sort(Object[] a, Comparator comparator) { int N = a.length; for (int i = 0; i < N; i++) { for (int j = i; j > 0 && less(a[j], a[j-1], comparator); j--) { exch(a, j, j-1); } assert isSorted(a, 0, i, comparator); } assert isSorted(a, comparator); } /** * Rearranges the subarray a[lo..hi] in ascending order, using a comparator. * @param a the array * @param lo left endpoint * @param hi right endpoint * @param comparator the comparator specifying the order */ public static void sort(Object[] a, int lo, int hi, Comparator comparator) { for (int i = lo; i <= hi; i++) { for (int j = i; j > lo && less(a[j], a[j-1], comparator); j--) { exch(a, j, j-1); } } assert isSorted(a, lo, hi, comparator); } // return a permutation that gives the elements in a[] in ascending order // do not change the original array a[] /** * Returns a permutation that gives the elements in the array in ascending order. * @param a the array * @return a permutation <tt>p[]</tt> such that <tt>a[p[0]]</tt>, <tt>a[p[1]]</tt>, * ..., <tt>a[p[N-1]]</tt> are in ascending order */ public static int[] indexSort(Comparable[] a) { int N = a.length; int[] index = new int ; for (int i = 0; i < N; i++) index[i] = i; for (int i = 0; i < N; i++) for (int j = i; j > 0 && less(a[index[j]], a[index[j-1]]); j--) exch(index, j, j-1); return index; } /*************************************************************************** * Helper sorting functions. ***************************************************************************/ // is v < w ? private static boolean less(Comparable v, Comparable w) { return v.compareTo(w) < 0; } // is v < w ? private static boolean less(Object v, Object w, Comparator comparator) { return comparator.compare(v, w) < 0; } // exchange a[i] and a[j] private static void exch(Object[] a, int i, int j) { Object swap = a[i]; a[i] = a[j]; a[j] = swap; } // exchange a[i] and a[j] (for indirect sort) private static void exch(int[] a, int i, int j) { int swap = a[i]; a[i] = a[j]; a[j] = swap; } /*************************************************************************** * Check if array is sorted - useful for debugging. ***************************************************************************/ private static boolean isSorted(Comparable[] a) { return isSorted(a, 0, a.length - 1); } // is the array sorted from a[lo] to a[hi] private static boolean isSorted(Comparable[] a, int lo, int hi) { for (int i = lo+1; i <= hi; i++) if (less(a[i], a[i-1])) return false; return true; } private static boolean isSorted(Object[] a, Comparator comparator) { return isSorted(a, 0, a.length - 1, comparator); } // is the array sorted from a[lo] to a[hi] private static boolean isSorted(Object[] a, int lo, int hi, Comparator comparator) { for (int i = lo + 1; i <= hi; i++) if (less(a[i], a[i-1], comparator)) return false; return true; } // print array to standard output private static void show(Comparable[] a) { for (int i = 0; i < a.length; i++) { StdOut.println(a[i]); } } /** * Reads in a sequence of strings from standard input; insertion sorts them; * and prints them to standard output in ascending order. */ public static void main(String[] args) { String[] a = StdIn.readAllStrings(); Insertion.sort(a); show(a); } }
相关文章推荐
- 手机打开app时一直显示waiting for debugger,进不去app界面
- Eclipse IDE for C/C++ 配置
- AllJoyn-跨平台方法调用返回值为键值对(Maps)
- easyui常用控件及样式收藏
- 前端图片预览
- EMMA学习总结
- 编译性语言&解释性语言
- 推荐两款移动开发者服务
- 面试中的二叉树题
- app 两端出现黑色,不能全屏
- Hbase Table already exists问题
- 【POJ 3415】Common Substrings 长度不小于k的公共子串的个数
- WEB系统架构
- python urllib、urlparse、urllib2、cookielib
- hibernate---联合主键关联
- 自定义初学5——自定义View显示图片
- 23种设计模式分类+SOLID设计原则+从设计模式角度看MVC框架
- 小米引爆用户参与感有哪些值得借签的法则?
- C++第4次实验项目2-学生类
- android layout_gravity和gravity的区别