Shortest Palindrome
<p>You are given a string <code>s</code>. You can convert <code>s</code> to a <span data-keyword="palindrome-string">palindrome</span> by adding characters in front of it.</p>

<p>Return <em>the shortest palindrome you can find by performing this transformation</em>.</p>

<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>
<pre><strong>Input:</strong> s = "aacecaaa"
<strong>Output:</strong> "aaacecaaa"
</pre><p><strong class="example">Example 2:</strong></p>
<pre><strong>Input:</strong> s = "abcd"
<strong>Output:</strong> "dcbabcd"
</pre>
<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>

<ul>
	<li><code>0 &lt;= s.length &lt;= 5 * 10<sup>4</sup></code></li>
	<li><code>s</code> consists of lowercase English letters only.</li>
</ul>
String; String Matching; Hash Function; Rolling Hash
﻿public class Solution {
    public string ShortestPalindrome(string s) {
        int baseValue = 131;
        int mul = 1;
        int mod = (int)1e9 + 7;
        int prefix = 0, suffix = 0;
        int idx = 0;
        int n = s.Length;

        for (int i = 0; i < n; ++i) {
            int t = s[i] - 'a' + 1;
            prefix = (int)(((long)prefix * baseValue + t) % mod);
            suffix = (int)((suffix + (long)t * mul) % mod);
            mul = (int)(((long)mul * baseValue) % mod);
            if (prefix == suffix) {
                idx = i + 1;
            }
        }

        if (idx == n) {
            return s;
        }

        return new string(s.Substring(idx).Reverse().ToArray()) + s;
    }
}
