Valid Palindrome III
<p>Given a string <code>s</code> and an integer <code>k</code>, return <code>true</code> if <code>s</code> is a <code>k</code><strong>-palindrome</strong>.</p>

<p>A string is <code>k</code><strong>-palindrome</strong> if it can be transformed into a palindrome by removing at most <code>k</code> characters from it.</p>

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

<pre>
<strong>Input:</strong> s = &quot;abcdeca&quot;, k = 2
<strong>Output:</strong> true
<strong>Explanation:</strong> Remove &#39;b&#39; and &#39;e&#39; characters.
</pre>

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

<pre>
<strong>Input:</strong> s = &quot;abbababa&quot;, k = 1
<strong>Output:</strong> true
</pre>

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

<ul>
	<li><code>1 &lt;= s.length &lt;= 1000</code></li>
	<li><code>s</code> consists of only lowercase English letters.</li>
	<li><code>1 &lt;= k &lt;= s.length</code></li>
</ul>
String; Dynamic Programming
class Solution {
public:
    bool isValidPalindrome(string s, int k) {
        int n = s.length();
        int f[n][n];
        memset(f, 0, sizeof f);
        for (int i = 0; i < n; ++i) {
            f[i][i] = 1;
        }
        for (int i = n - 2; i >= 0; --i) {
            for (int j = i + 1; j < n; ++j) {
                if (s[i] == s[j]) {
                    f[i][j] = f[i + 1][j - 1] + 2;
                } else {
                    f[i][j] = max(f[i + 1][j], f[i][j - 1]);
                }
                if (f[i][j] + k >= n) {
                    return true;
                }
            }
        }
        return false;
    }
};