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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]
.
left
is less than or equal to right
.
[Math]