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

<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>

<pre>
<strong>Input:</strong> n = 2
<strong>Output:</strong> 987
Explanation: 99 x 91 = 9009, 9009 % 1337 = 987
</pre>

<p><strong class="example">Example 2:</strong></p>

<pre>
<strong>Input:</strong> n = 1
<strong>Output:</strong> 9
</pre>

<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>

<ul>
	<li><code>1 &lt;= n &lt;= 8</code></li>
</ul>

class Solution {
public:
    int largestPalindrome(int n) {
        int mx = pow(10, n) - 1;
        for (int a = mx; a > mx / 10; --a) {
            int b = a;
            long x = a;
            while (b) {
                x = x * 10 + b % 10;
                b /= 10;
            }
            for (long t = mx; t * t >= x; --t)
                if (x % t == 0)
                    return x % 1337;
        }
        return 9;
    }
};
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