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2396. Strictly Palindromic Number

URL: LeetCode Problem

Problem Description

An integer n is strictly palindromic if, for every base b between 2 and n - 2 (inclusive), the string representation of the integer n in base b is palindromic.

Given an integer n, return true if n is strictly palindromic and false otherwise.

A string is palindromic if it reads the same forward and backward.

Examples:

  • Example 1: Input: n = 9 Output: false Explanation: In base 2: 9 = 1001 (base 2), which is palindromic. In base 3: 9 = 100 (base 3), which is not palindromic. Therefore, 9 is not strictly palindromic so we return false. Note that in bases 4, 5, 6, and 7, n = 9 is also not palindromic.

Constraints:

  • 4 <= n <= 105

Python3 Solution

class Solution:
    def isStrictlyPalindromic(self, n: int) -> bool:
        if n == 4: return False
        for base in range(2, n - 2):
            if not self.isPalindromic(base, n):
                return False
        return True

    def isPalindromic(self, base, num):
        arr = []
        while num > 0:
            arr.append(num % base)
            num = num // base

        # Correct way to check if the list is palindromic
        return arr == arr[::-1]