<p>Let&#39;s say a positive integer is a <strong>super-palindrome</strong> if it is a palindrome, and it is also the square of a palindrome.</p>

<p>Given two positive integers <code>left</code> and <code>right</code> represented as strings, return <em>the number of <strong>super-palindromes</strong> integers in the inclusive range</em> <code>[left, right]</code>.</p>

<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>

<pre>
<strong>Input:</strong> left = &quot;4&quot;, right = &quot;1000&quot;
<strong>Output:</strong> 4
<strong>Explanation</strong>: 4, 9, 121, and 484 are superpalindromes.
Note that 676 is not a superpalindrome: 26 * 26 = 676, but 26 is not a palindrome.
</pre>

<p><strong class="example">Example 2:</strong></p>

<pre>
<strong>Input:</strong> left = &quot;1&quot;, right = &quot;2&quot;
<strong>Output:</strong> 1
</pre>

<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>

<ul>
	<li><code>1 &lt;= left.length, right.length &lt;= 18</code></li>
	<li><code>left</code> and <code>right</code> consist of only digits.</li>
	<li><code>left</code> and <code>right</code> cannot have leading zeros.</li>
	<li><code>left</code> and <code>right</code> represent integers in the range <code>[1, 10<sup>18</sup> - 1]</code>.</li>
	<li><code>left</code> is less than or equal to <code>right</code>.</li>
</ul>

import math

class Solution:
    def superpalindromesInRange(self, left: str, right: str) -> int:
        l = int(left)
        r = int(right)
        limit = math.sqrt(r)
        seed = 1
        num = 0
        ans = 0
        while num < limit:
            num = self.evenEnlarge(seed)
            if self.check(num*num, l, r):
                ans += 1
            num = self.oddEnlarge(seed)
            if self.check(num*num, l, r):
                ans += 1
            seed += 1
        return ans

    def evenEnlarge(self, seed):
        s = str(seed)
        s += s[::-1]
        return int(s)

    def oddEnlarge(self, seed):
        s = str(seed)
        s += s[::-1][1:]
        return int(s)

    def check(self, ans, l, r):
        if ans >= l and ans <= r and self.isPalindrome(ans):
            return True
        else:
            return False
    
    def isPalindrome(self, ans):
        s = str(ans)
        sr = s[::-1]
        if s == sr:
            return True
        else:
            return False
        
16500