This time I will bring you a case analysis of PHP direct insertion sorting. What are the precautions for PHP direct insertion sorting? . The following is a practical case, let's take a look.
Algorithm introduction:
Poker is a game that almost everyone of us has played. Usually when we start, one person deals the cards, and everyone else draws and sorts the cards. If the first card you draw is 5 and the second card is 3, naturally we insert the 3. Go to the front of 5; the third card is 4, find it between 3 and 5; the fourth card is 6, put it behind 5; the fifth card is 2, insert it in front of 3;…. Finally, when we have drawn all the cards, the cards in our hands are sorted from small to large (points).
Let’s look at this sequence:
5 3 3 // Insert 3 into an ordered list with only one element 5
3 5 4 4 // Insert 3 into an ordered list with only one element 5 Insert 6 into an ordered list with two elements 3 5
3 4 5 6 6 // Insert 6 into an ordered list with two elements 3 4 5
3 4 5 6 2 2 In an ordered list of two elements 3 4 5 6
2 3 4 5 6
Basic idea:
The basic idea of direct insertion sort is: take out the first element from the unordered list each time and insert it into the appropriate position of the ordered list, so that the ordered list remains in order.
The first pass compares the first two numbers, and then inserts the second number into the ordered list according to size; the second pass scans the third data and the first two numbers from back to front, and The third number is inserted into the ordered list according to size; this is continued in sequence, and the entire sorting process is completed after (n-1) scans.
Direct insertion sort is composed of two levels of nested loops. The outer loop identifies and determines the values to be compared. The inner loop determines the final position of the values to be compared. Direct insertion sort compares the value to be compared with its previous value, so the outer loop starts from the second value. If the current value is larger than the value to be compared, the loop comparison continues until a value smaller than the value to be compared is found and the value to be compared is placed in the next position, ending the cycle.
The basic method of insertion sort is: at each step, a record to be sorted is inserted into the appropriate position in the previously sorted sequence according to the size of its key, until all records are inserted.
Algorithm implementation:
<?php //直接插入排序 function swap(array &$arr,$a,$b){ $temp = $arr[$a]; $arr[$a] = $arr[$b]; $arr[$b] = $temp; } function InsertSort(array &$arr){ $count = count($arr); //数组中第一个元素作为一个已经存在的有序表 for($i = 1;$i < $count;$i ++){ $temp = $arr[$i]; //设置哨兵 for($j = $i - 1;$j >= 0 && $arr[$j] > $temp;$j --){ $arr[$j + 1] = $arr[$j]; //记录后移 } $arr[$j + 1] = $temp; //插入到正确的位置 } } $arr = array(9,1,5,8,3,7,4,6,2); InsertSort($arr); var_dump($arr);
Running result:
array(9) { [0]=> int(1) [1]=> int(2) [2]=> int(3) [3]=> int(4) [4]=> int(5) [5]=> int(6) [6]=> int(7) [7]=> int(8) [8]=> int(9) }
The time complexity of the direct insertion sorting algorithm is O(n^2).
Direct insertion sort is a stable sort.
I believe you have mastered the method after reading the case in this article. For more exciting information, please pay attention to other related articles on the php Chinese website!
Recommended reading:
Detailed explanation of the steps to use PHP quick sorting algorithm
Detailed explanation of the steps to generate promotion posters in PHP
The above is the detailed content of PHP direct insertion sort case analysis. For more information, please follow other related articles on the PHP Chinese website!

php把负数转为正整数的方法:1、使用abs()函数将负数转为正数,使用intval()函数对正数取整,转为正整数,语法“intval(abs($number))”;2、利用“~”位运算符将负数取反加一,语法“~$number + 1”。

实现方法:1、使用“sleep(延迟秒数)”语句,可延迟执行函数若干秒;2、使用“time_nanosleep(延迟秒数,延迟纳秒数)”语句,可延迟执行函数若干秒和纳秒;3、使用“time_sleep_until(time()+7)”语句。

php除以100保留两位小数的方法:1、利用“/”运算符进行除法运算,语法“数值 / 100”;2、使用“number_format(除法结果, 2)”或“sprintf("%.2f",除法结果)”语句进行四舍五入的处理值,并保留两位小数。

判断方法:1、使用“strtotime("年-月-日")”语句将给定的年月日转换为时间戳格式;2、用“date("z",时间戳)+1”语句计算指定时间戳是一年的第几天。date()返回的天数是从0开始计算的,因此真实天数需要在此基础上加1。

php判断有没有小数点的方法:1、使用“strpos(数字字符串,'.')”语法,如果返回小数点在字符串中第一次出现的位置,则有小数点;2、使用“strrpos(数字字符串,'.')”语句,如果返回小数点在字符串中最后一次出现的位置,则有。

php字符串有下标。在PHP中,下标不仅可以应用于数组和对象,还可应用于字符串,利用字符串的下标和中括号“[]”可以访问指定索引位置的字符,并对该字符进行读写,语法“字符串名[下标值]”;字符串的下标值(索引值)只能是整数类型,起始值为0。

在php中,可以使用substr()函数来读取字符串后几个字符,只需要将该函数的第二个参数设置为负值,第三个参数省略即可;语法为“substr(字符串,-n)”,表示读取从字符串结尾处向前数第n个字符开始,直到字符串结尾的全部字符。

查找方法:1、用strpos(),语法“strpos("字符串值","查找子串")+1”;2、用stripos(),语法“strpos("字符串值","查找子串")+1”。因为字符串是从0开始计数的,因此两个函数获取的位置需要进行加1处理。


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