0906. Super Palindromes

https://leetcode.com/problems/super-palindromes

Description

Let's say a positive integer is a super-palindrome if it is a palindrome, and it is also the square of a palindrome.

Given two positive integers left and right represented as strings, return the number of super-palindromes integers in the inclusive range [left, right].

Example 1:

**Input:** left = "4", right = "1000"
**Output:** 4
**Explanation**: 4, 9, 121, and 484 are superpalindromes.
Note that 676 is not a superpalindrome: 26 * 26 = 676, but 26 is not a palindrome.

Example 2:

**Input:** left = "1", right = "2"
**Output:** 1

Constraints:

  • 1 <= left.length, right.length <= 18

  • left and right consist of only digits.

  • left and right cannot have leading zeros.

  • left and right represent integers in the range [1, 1018 - 1].

  • left is less than or equal to right.

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