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Find the Largest Palindrome Divisible by K

You are given two positive integers n and k.

You are given two positive integers n and k.

An integer x is called k-palindromic if:

Return the largest integer having n digits (as a string) that is k-palindromic.

Note that the integer must not have leading zeros.

Example 1

Input: n = 3, k = 5

Output: "595"

Explanation: 595 is the largest k-palindromic integer with 3 digits.

Example 2

Input: n = 1, k = 4

Output: "8"

Explanation: 4 and 8 are the only k-palindromic integers with 1 digit.

Example 3

Input: n = 5, k = 6

Output: "89898"

Constraints

  • 1 <= n <= 10^5
  • 1 <= k <= 9

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