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PHP method to find the palindrome number in a range and the square root is also a palindrome number

Dec 26, 2017 am 10:58 AM
php square root within range

How to find the palindrome number in a range and the square root is also a palindrome number in php? This article mainly introduces the method of PHP to find the number of palindromes in a specified range and the square root is also a palindrome number. It analyzes PHP's technique of judging palindromes through examples. I hope to be helpful.

The example of this article describes the method of PHP to find the palindrome number in the specified range and the square root is also a palindrome number. Share it with everyone for your reference. The details are as follows:

1. Requirements:

Given two values ​​​​X and Y, count the number of palindromes in this interval, and require that their square roots are also palindromes. Among them 1<= x <= y < 10 14

2. Solution:


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&lt;?php

error_reporting(E_ALL);

ini_set(&quot;display_errors&quot;, 1);

//避免超时

set_time_limit(0);

$t1=microtime();

function isPlalindrome($num){

  $str=&quot;$num&quot;;

  $len=strlen($num);

  $k = intval($len/2) + 1;//获取中间位数

  for($j=0;$j&lt;$k;$j++){

    if($str{$j}!=$str{$len-1-$j}){

      return false;

    }

  }

  return true;

}

function showPlalindrome($min,$max){

//因为要计算在$min,$max间的回文数且其自身平方根也是回文数

//所以相当于求一sqrt($min)~sqrt($max)间数

//其平方在$min~$max间也是回文数

//$min~$max是连续正整数,所以可以这样缩小很多计算量,否则……

  $start=sqrt($min);

  $end=sqrt($max);

  for($i=$start;$i&lt;$end;$i++){

    if(isPlalindrome($i) &amp;&amp;isPlalindrome($n=$i*$i) ){

     echo $n.&quot; &lt;br/&gt;&quot;;

    }

  }

}

showPlalindrome(1,100000000000000);

$t2=microtime();

$starttime = explode(&quot; &quot;,$t1);

$endtime = explode(&quot; &quot;,$t2);

$totaltime = $endtime[0]-$starttime[0]+$endtime[1]-$starttime[1];

$timecost = sprintf(&quot;%s&quot;,$totaltime);

echo &quot;页面运行时间: $timecost 秒&quot;;

?&gt;

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