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    <title>invariant - recursion</title>
    <subtitle>Essays on algorithms and data structures by Ali Khalilli. Binary search, numerical methods, dynamic programming, graphs, strings.</subtitle>
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    <updated>2022-06-23T00:00:00+00:00</updated>
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    <entry xml:lang="en">
        <title>Permutation Sequence</title>
        <published>2022-06-23T00:00:00+00:00</published>
        <updated>2022-06-23T00:00:00+00:00</updated>
        
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          <name>
            
              alikhalilli
            
          </name>
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&lt;link rel=&quot;stylesheet&quot; href=&quot;https:&#x2F;&#x2F;invariant.khalilli.ai&#x2F;admonition.css?h=98c1477488c4b2c9d71a&quot; type=&quot;text&#x2F;css&quot;&gt;

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  &lt;div class=&quot;pl-4&quot;&gt;&lt;p&gt;The set [1, 2, 3, …, n] contains a total of n! unique permutations. Given n and k, return the kth permutation sequence.&lt;&#x2F;p&gt;
&lt;&#x2F;div&gt;
&lt;&#x2F;div&gt;</summary>
        
    </entry>
    <entry xml:lang="en">
        <title>Jump Game</title>
        <published>2022-06-18T00:00:00+00:00</published>
        <updated>2022-06-18T00:00:00+00:00</updated>
        
        <author>
          <name>
            
              alikhalilli
            
          </name>
        </author>
        
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  &lt;div class=&quot;pl-4&quot;&gt;&lt;p&gt;Given an array of non-negative integers nums, you are initially positioned at the first index of the array. Each element in the array represents your maximum jump length at that position. Your goal is to reach the last index in the minimum number of jumps. You can assume that you can always reach the last index.&lt;&#x2F;p&gt;
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