鸡尾酒种类
鸡尾酒排序是气泡排序的变体。冒泡排序算法总是从左侧遍历元素,并在第一次迭代中将最大的元素移动到正确的位置,在第二次迭代中将第二大元素移动到正确的位置,以此类推。鸡尾酒排序交替地在两个方向上遍历给定的数组。 算法: 算法的每次迭代分为 2 个阶段:
- 第一阶段从左到右循环遍历数组,就像冒泡排序一样。在循环过程中,比较相邻的项目,如果左边的值大于右边的值,则交换值。在第一次迭代结束时,最大的数字将位于数组的末尾。
- 第二阶段以相反的方向在数组中循环——从最近排序的项之前的项开始,然后移回数组的开头。此外,还会比较相邻的项目,并在需要时进行交换。
示例:
让我们考虑一个示例数组(5 1 4 2 8 0 2)
第一个向前传球: ( 5 1 4 2 8 0 2)?( 1 5 4 2 8 0 2)、互换自 5 > 1 (1 5 4 2 8 0 2)?(1 4 5 2 8 0 2)、互换自 5>4 (1 45 28 0 2)?(1 4 2 5 8 0 2)、互换自 5>2 (1 4 25 80 2)?(1 4 25 80 2) (1 4 2 58 02)?(1 4 2 5 0 8 2)、互换自 8 > 0 (1 4 2 5 0 8 2 )?(1 4 2 5 0 2 8 ),交换自 8 > 2 第一次向前传递后,数组中最大的元素将出现在数组的最后一个索引处。 第一次倒传球: (1 4 2 5 0 2 8)?(1 4 2 50 28) (1 4 25 02 8)?(1 4 2 0 5 2 8),互换自 5>0 (1 42 05 2 8)?(1 4 0 2 5 2 8)、互换自 2>0 (14 02 5 2 8)?(1 0 4 2 5 2 8),互换自 4>0 (1 04 2 5 2 8)?( 0 1 4 2 5 2 8),交换自 1 > 0 第一次向后传递后,数组的最小元素将出现在数组的第一个索引处。 第二次向前传球: (0 1 4 2 5 2 8)?(01 42 5 2 8) (0 14 25 2 8)?(0 1 2 4 5 2 8),互换自 4>2 (0 1 24 52 8)?(0 1 24 52 8) (0 1 2 45 28)?(0 1 2 4 2 5 8)、互换自 5>2 T86】第二次倒传球:T88】(0 1 24 25 8)?(0 1 2 2 4 5 8)、交换自 4 > 2 现在数组已经排序了,但是我们的算法不知道是否完成。算法需要在没有任何交换的情况下完成这一整道,才能知道排序。 (0 1 2 2 4 5 8)?(0 12 24 5 8) (01 22 4 5 8)?(0 1 2 2 4 5 8) 以下是上述算法的实现:
C++
// C++ implementation of Cocktail Sort
#include <bits/stdc++.h>
using namespace std;
// Sorts arrar a[0..n-1] using Cocktail sort
void CocktailSort(int a[], int n)
{
bool swapped = true;
int start = 0;
int end = n - 1;
while (swapped)
{
// reset the swapped flag on entering
// the loop, because it might be true from
// a previous iteration.
swapped = false;
// loop from left to right same as
// the bubble sort
for (int i = start; i < end; ++i)
{
if (a[i] > a[i + 1]) {
swap(a[i], a[i + 1]);
swapped = true;
}
}
// if nothing moved, then array is sorted.
if (!swapped)
break;
// otherwise, reset the swapped flag so that it
// can be used in the next stage
swapped = false;
// move the end point back by one, because
// item at the end is in its rightful spot
--end;
// from right to left, doing the
// same comparison as in the previous stage
for (int i = end - 1; i >= start; --i)
{
if (a[i] > a[i + 1]) {
swap(a[i], a[i + 1]);
swapped = true;
}
}
// increase the starting point, because
// the last stage would have moved the next
// smallest number to its rightful spot.
++start;
}
}
/* Prints the array */
void printArray(int a[], int n)
{
for (int i = 0; i < n; i++)
printf("%d ", a[i]);
printf("\n");
}
// Driver code
int main()
{
int a[] = { 5, 1, 4, 2, 8, 0, 2 };
int n = sizeof(a) / sizeof(a[0]);
CocktailSort(a, n);
printf("Sorted array :\n");
printArray(a, n);
return 0;
}
Java 语言(一种计算机语言,尤用于创建网站)
// Java program for implementation of Cocktail Sort
public class CocktailSort
{
void cocktailSort(int a[])
{
boolean swapped = true;
int start = 0;
int end = a.length;
while (swapped == true)
{
// reset the swapped flag on entering the
// loop, because it might be true from a
// previous iteration.
swapped = false;
// loop from bottom to top same as
// the bubble sort
for (int i = start; i < end - 1; ++i)
{
if (a[i] > a[i + 1]) {
int temp = a[i];
a[i] = a[i + 1];
a[i + 1] = temp;
swapped = true;
}
}
// if nothing moved, then array is sorted.
if (swapped == false)
break;
// otherwise, reset the swapped flag so that it
// can be used in the next stage
swapped = false;
// move the end point back by one, because
// item at the end is in its rightful spot
end = end - 1;
// from top to bottom, doing the
// same comparison as in the previous stage
for (int i = end - 1; i >= start; i--)
{
if (a[i] > a[i + 1])
{
int temp = a[i];
a[i] = a[i + 1];
a[i + 1] = temp;
swapped = true;
}
}
// increase the starting point, because
// the last stage would have moved the next
// smallest number to its rightful spot.
start = start + 1;
}
}
/* Prints the array */
void printArray(int a[])
{
int n = a.length;
for (int i = 0; i < n; i++)
System.out.print(a[i] + " ");
System.out.println();
}
// Driver code
public static void main(String[] args)
{
CocktailSort ob = new CocktailSort();
int a[] = { 5, 1, 4, 2, 8, 0, 2 };
ob.cocktailSort(a);
System.out.println("Sorted array");
ob.printArray(a);
}
}
计算机编程语言
# Python program for implementation of Cocktail Sort
def cocktailSort(a):
n = len(a)
swapped = True
start = 0
end = n-1
while (swapped == True):
# reset the swapped flag on entering the loop,
# because it might be true from a previous
# iteration.
swapped = False
# loop from left to right same as the bubble
# sort
for i in range(start, end):
if (a[i] > a[i + 1]):
a[i], a[i + 1] = a[i + 1], a[i]
swapped = True
# if nothing moved, then array is sorted.
if (swapped == False):
break
# otherwise, reset the swapped flag so that it
# can be used in the next stage
swapped = False
# move the end point back by one, because
# item at the end is in its rightful spot
end = end-1
# from right to left, doing the same
# comparison as in the previous stage
for i in range(end-1, start-1, -1):
if (a[i] > a[i + 1]):
a[i], a[i + 1] = a[i + 1], a[i]
swapped = True
# increase the starting point, because
# the last stage would have moved the next
# smallest number to its rightful spot.
start = start + 1
# Driver code
a = [5, 1, 4, 2, 8, 0, 2]
cocktailSort(a)
print("Sorted array is:")
for i in range(len(a)):
print("% d" % a[i])
C
// C# program for implementation of Cocktail Sort
using System;
class GFG {
static void cocktailSort(int[] a)
{
bool swapped = true;
int start = 0;
int end = a.Length;
while (swapped == true) {
// reset the swapped flag on entering the
// loop, because it might be true from a
// previous iteration.
swapped = false;
// loop from bottom to top same as
// the bubble sort
for (int i = start; i < end - 1; ++i) {
if (a[i] > a[i + 1]) {
int temp = a[i];
a[i] = a[i + 1];
a[i + 1] = temp;
swapped = true;
}
}
// if nothing moved, then array is sorted.
if (swapped == false)
break;
// otherwise, reset the swapped flag so that it
// can be used in the next stage
swapped = false;
// move the end point back by one, because
// item at the end is in its rightful spot
end = end - 1;
// from top to bottom, doing the
// same comparison as in the previous stage
for (int i = end - 1; i >= start; i--) {
if (a[i] > a[i + 1]) {
int temp = a[i];
a[i] = a[i + 1];
a[i + 1] = temp;
swapped = true;
}
}
// increase the starting point, because
// the last stage would have moved the next
// smallest number to its rightful spot.
start = start + 1;
}
}
/* Prints the array */
static void printArray(int[] a)
{
int n = a.Length;
for (int i = 0; i < n; i++)
Console.Write(a[i] + " ");
Console.WriteLine();
}
// Driver code
public static void Main()
{
int[] a = { 5, 1, 4, 2, 8, 0, 2 };
cocktailSort(a);
Console.WriteLine("Sorted array ");
printArray(a);
}
}
// This code is contributed by Sam007
java 描述语言
<script>
// Javascript program for implementation of Cocktail Sort
function cocktailSort(a)
{
let swapped = true;
let start = 0;
let end = a.length;
while (swapped == true) {
// reset the swapped flag on entering the
// loop, because it might be true from a
// previous iteration.
swapped = false;
// loop from bottom to top same as
// the bubble sort
for (let i = start; i < end - 1; ++i) {
if (a[i] > a[i + 1]) {
let temp = a[i];
a[i] = a[i + 1];
a[i + 1] = temp;
swapped = true;
}
}
// if nothing moved, then array is sorted.
if (swapped == false)
break;
// otherwise, reset the swapped flag so that it
// can be used in the next stage
swapped = false;
// move the end point back by one, because
// item at the end is in its rightful spot
end = end - 1;
// from top to bottom, doing the
// same comparison as in the previous stage
for (let i = end - 1; i >= start; i--) {
if (a[i] > a[i + 1]) {
let temp = a[i];
a[i] = a[i + 1];
a[i + 1] = temp;
swapped = true;
}
}
// increase the starting point, because
// the last stage would have moved the next
// smallest number to its rightful spot.
start = start + 1;
}
}
/* Prints the array */
function printArray(a)
{
let n = a.length;
for (let i = 0; i < n; i++)
document.write(a[i] + " ");
document.write("</br>");
}
let a = [ 5, 1, 4, 2, 8, 0, 2 ];
cocktailSort(a);
document.write("Sorted array :" + "</br>");
printArray(a);
// This code is contributed by decode2207.
</script>
Output
Sorted array :
0 1 2 2 4 5 8
最坏和平均情况时间复杂度: O(nn)。 最佳案例时间复杂度: O(n)。最佳情况发生在数组已经排序的时候。 辅助空间: O(1) 排序到位:是 稳定:是 与冒泡排序的比较: 时间复杂度相同,但鸡尾酒表现优于冒泡排序。一般来说,鸡尾酒分类的速度比泡沫分类快不到两倍。考虑这个例子(2,3,4,5,1)。对于这个例子,冒泡排序需要四次数组遍历,而鸡尾酒排序只需要两次遍历。(来源维基 ) 参考文献:*
- https://en . Wikipedia . org/wiki/鸡尾酒 _shaker_sort
- http://will.thimbleby.net/algorithms/doku.php?id =鸡尾酒 _ 排序
- http://www . programming-algorithms . net/article/40270/Shaker-sort
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