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Java-based LeetCode algorithm problem solutions, regularly updated
package g0401_0500.s0479_largest_palindrome_product;
// #Hard #Math #2022_07_20_Time_6_ms_(87.50%)_Space_40.5_MB_(78.57%)
/**
* 479 - Largest Palindrome Product\.
*
* Hard
*
* 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`
**/
public class Solution {
public int largestPalindrome(int n) {
long pow10 = (long) Math.pow(10, n);
long max = (pow10 - 1) * (pow10 - (long) Math.sqrt(pow10) + 1);
long left = (max / pow10);
long t = pow10 / 11;
t -= ~t & 1;
for (long i = left; i > 0; i--) {
for (long j = t, num = gen(i); j >= i / 11; j -= 2) {
if (num % j == 0) {
return (int) (num % 1337);
}
}
}
return 9;
}
private long gen(long x) {
long r = x;
while (x > 0) {
r = r * 10 + x % 10;
x /= 10;
}
return r;
}
}
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