Algorithm


Problem Name: 479. Largest Palindrome Product

Given an integer n, return the largest palindromic integer that can be represented as the product of two n-digits integers. Since the answer can be very large, return it modulo 1337.

 

Example 1:

Input: n = 2
Output: 987
Explanation: 99 x 91 = 9009, 9009 % 1337 = 987

Example 2:

Input: n = 1
Output: 9

 

Constraints:

  • 1 <= n <= 8

Code Examples

#1 Code Example with Javascript Programming

Code - Javascript Programming


function largestPalindrome(n) {
  if(n === 1) return 9
  let max = BigInt(10 ** n - 1), min = max / 10n + 1n
  for(let h = max; h >= min; h--) {
    let left = h, right = 0n
    for(let i = h; i !== 0n; ) {
      right = right * 10n + i % 10n
      i = i / 10n
      left *= 10n
    }
    let pal = left + right
    for(let i = max; i >= min; i--) {
      let j = pal / i
      if(j > i) break
      if(pal % i === 0n) return pal % 1337n
    }
  }
}
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Input

x
+
cmd
n = 2

Output

x
+
cmd
987

#2 Code Example with Python Programming

Code - Python Programming


class Solution:
    def largestPalindrome(self, n):
        """
        :type n: int
        :rtype: int
        """
        return list(num for i,num in enumerate([0,9,987,123,597,677,1218,877,475]) if i==n)[0]
Copy The Code & Try With Live Editor

Input

x
+
cmd
n = 2

Output

x
+
cmd
987
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Demonstration


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