Introduction

In this blog post, we will explore how to solve the LeetCode problem "2396" using AI. LeetCode is a popular platform for preparing for coding interviews, and with the help of AI tools like Chatmagic, we can generate solutions quickly and efficiently - helping you pass the interviews and get the job offer without having to study for months.

Problem Statement

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. 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. Example 2: Input: n = 4 Output: false Explanation: We only consider base 2: 4 = 100 (base 2), which is not palindromic. Therefore, we return false. Constraints: 4 <= n <= 105

Explanation

Here's a breakdown of the solution:

• Recognize the Pattern: The key observation is that no number n can be strictly palindromic for n > 3. This is because in base n-1, n is always represented as 11. Therefore, we only need to check if n is greater than 3.

• Direct Return: If n is greater than 3, we immediately return False. Otherwise, it satisfies the condition.

• Runtime Complexity: O(1), Storage Complexity: O(1)

Code

    def isStrictlyPalindromic(n: int) -> bool:
    """
    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.

    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.

    Example 2:
    Input: n = 4
    Output: false
    Explanation:
    We only consider base 2: 4 = 100 (base 2), which is not palindromic.
    Therefore, we return false.

    Constraints:
    4 <= n <= 105
    """
    return False