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    <title>DEV Community: Prashant Mishra</title>
    <description>The latest articles on DEV Community by Prashant Mishra (@prashantrmishra).</description>
    <link>https://dev.to/prashantrmishra</link>
    <image>
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      <title>DEV Community: Prashant Mishra</title>
      <link>https://dev.to/prashantrmishra</link>
    </image>
    <atom:link rel="self" type="application/rss+xml" href="https://dev.to/feed/prashantrmishra"/>
    <language>en</language>
    <item>
      <title>Check if Binary String has atmost One segment of ones</title>
      <dc:creator>Prashant Mishra</dc:creator>
      <pubDate>Sat, 17 Oct 2026 11:16:36 +0000</pubDate>
      <link>https://dev.to/prashantrmishra/check-if-binary-string-has-atmost-one-segment-of-ones-4n3g</link>
      <guid>https://dev.to/prashantrmishra/check-if-binary-string-has-atmost-one-segment-of-ones-4n3g</guid>
      <description>&lt;p&gt;&lt;a href="https://leetcode.com/problems/check-if-binary-string-has-at-most-one-segment-of-ones/" rel="noopener noreferrer"&gt;Problem&lt;/a&gt;&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight java"&gt;&lt;code&gt;&lt;span class="kd"&gt;class&lt;/span&gt; &lt;span class="nc"&gt;Solution&lt;/span&gt; &lt;span class="o"&gt;{&lt;/span&gt;
    &lt;span class="kd"&gt;public&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="nf"&gt;minElements&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt;&lt;span class="o"&gt;[]&lt;/span&gt; &lt;span class="n"&gt;nums&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;limit&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;goal&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt; &lt;span class="o"&gt;{&lt;/span&gt;
        &lt;span class="kt"&gt;long&lt;/span&gt; &lt;span class="n"&gt;sum&lt;/span&gt;  &lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="k"&gt;for&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="o"&gt;:&lt;/span&gt; &lt;span class="n"&gt;nums&lt;/span&gt;&lt;span class="o"&gt;){&lt;/span&gt;
            &lt;span class="n"&gt;sum&lt;/span&gt;&lt;span class="o"&gt;+=&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="o"&gt;}&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;sum&lt;/span&gt;&lt;span class="o"&gt;==&lt;/span&gt;&lt;span class="n"&gt;goal&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt; &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="kt"&gt;long&lt;/span&gt; &lt;span class="n"&gt;x&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;goal&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="n"&gt;sum&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="nc"&gt;Math&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;abs&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;x&lt;/span&gt;&lt;span class="o"&gt;)&amp;lt;=&lt;/span&gt;&lt;span class="n"&gt;limit&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt; &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;val&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt; &lt;span class="nc"&gt;Math&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;ceil&lt;/span&gt;&lt;span class="o"&gt;((&lt;/span&gt;&lt;span class="kt"&gt;double&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt;&lt;span class="nc"&gt;Math&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;abs&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;x&lt;/span&gt;&lt;span class="o"&gt;)/&lt;/span&gt;&lt;span class="n"&gt;limit&lt;/span&gt;&lt;span class="o"&gt;);&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;val&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;


    &lt;span class="o"&gt;}&lt;/span&gt;
&lt;span class="o"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



</description>
      <category>leetcode</category>
      <category>simple</category>
      <category>wcontest</category>
      <category>231</category>
    </item>
    <item>
      <title>Minimum Elements to Add to Form a Given Sum</title>
      <dc:creator>Prashant Mishra</dc:creator>
      <pubDate>Sat, 17 Oct 2026 11:14:21 +0000</pubDate>
      <link>https://dev.to/prashantrmishra/minimum-elements-to-add-to-form-a-given-sum-5b06</link>
      <guid>https://dev.to/prashantrmishra/minimum-elements-to-add-to-form-a-given-sum-5b06</guid>
      <description>&lt;p&gt;&lt;a href="https://leetcode.com/problems/minimum-elements-to-add-to-form-a-given-sum/" rel="noopener noreferrer"&gt;Problem&lt;/a&gt;&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight java"&gt;&lt;code&gt;&lt;span class="kd"&gt;class&lt;/span&gt; &lt;span class="nc"&gt;Solution&lt;/span&gt; &lt;span class="o"&gt;{&lt;/span&gt;
    &lt;span class="kd"&gt;public&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="nf"&gt;minElements&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt;&lt;span class="o"&gt;[]&lt;/span&gt; &lt;span class="n"&gt;nums&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;limit&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;goal&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt; &lt;span class="o"&gt;{&lt;/span&gt;
        &lt;span class="kt"&gt;long&lt;/span&gt; &lt;span class="n"&gt;sum&lt;/span&gt;  &lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="k"&gt;for&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="o"&gt;:&lt;/span&gt; &lt;span class="n"&gt;nums&lt;/span&gt;&lt;span class="o"&gt;){&lt;/span&gt;
            &lt;span class="n"&gt;sum&lt;/span&gt;&lt;span class="o"&gt;+=&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="o"&gt;}&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;sum&lt;/span&gt;&lt;span class="o"&gt;==&lt;/span&gt;&lt;span class="n"&gt;goal&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt; &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="kt"&gt;long&lt;/span&gt; &lt;span class="n"&gt;x&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;goal&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="n"&gt;sum&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="nc"&gt;Math&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;abs&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;x&lt;/span&gt;&lt;span class="o"&gt;)&amp;lt;=&lt;/span&gt;&lt;span class="n"&gt;limit&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt; &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;val&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt; &lt;span class="nc"&gt;Math&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;ceil&lt;/span&gt;&lt;span class="o"&gt;((&lt;/span&gt;&lt;span class="kt"&gt;double&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt;&lt;span class="nc"&gt;Math&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;abs&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;x&lt;/span&gt;&lt;span class="o"&gt;)/&lt;/span&gt;&lt;span class="n"&gt;limit&lt;/span&gt;&lt;span class="o"&gt;);&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;val&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;


    &lt;span class="o"&gt;}&lt;/span&gt;
&lt;span class="o"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



</description>
      <category>wcontest</category>
      <category>231</category>
      <category>leetcode</category>
      <category>numbers</category>
    </item>
    <item>
      <title>Number of Restricted Paths From First to Last Node</title>
      <dc:creator>Prashant Mishra</dc:creator>
      <pubDate>Sat, 17 Oct 2026 11:12:39 +0000</pubDate>
      <link>https://dev.to/prashantrmishra/number-of-restricted-paths-from-first-to-last-node-3b0</link>
      <guid>https://dev.to/prashantrmishra/number-of-restricted-paths-from-first-to-last-node-3b0</guid>
      <description>&lt;p&gt;&lt;a href="https://leetcode.com/problems/number-of-restricted-paths-from-first-to-last-node/description/" rel="noopener noreferrer"&gt;Problem&lt;/a&gt;&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight java"&gt;&lt;code&gt;&lt;span class="kd"&gt;class&lt;/span&gt; &lt;span class="nc"&gt;Solution&lt;/span&gt; &lt;span class="o"&gt;{&lt;/span&gt;
    &lt;span class="kd"&gt;public&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="nf"&gt;countRestrictedPaths&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt;&lt;span class="o"&gt;[][]&lt;/span&gt; &lt;span class="n"&gt;edges&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt; &lt;span class="o"&gt;{&lt;/span&gt;

        &lt;span class="nc"&gt;List&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="nc"&gt;List&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="nc"&gt;Pair&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&amp;gt;&lt;/span&gt; &lt;span class="n"&gt;adj&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="k"&gt;new&lt;/span&gt; &lt;span class="nc"&gt;ArrayList&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&amp;gt;();&lt;/span&gt;
        &lt;span class="k"&gt;for&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;++){&lt;/span&gt;
            &lt;span class="n"&gt;adj&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;add&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="k"&gt;new&lt;/span&gt; &lt;span class="nc"&gt;ArrayList&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&amp;gt;());&lt;/span&gt;
        &lt;span class="o"&gt;}&lt;/span&gt;
        &lt;span class="k"&gt;for&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;edge&lt;/span&gt;&lt;span class="o"&gt;[]&lt;/span&gt; &lt;span class="o"&gt;:&lt;/span&gt; &lt;span class="n"&gt;edges&lt;/span&gt;&lt;span class="o"&gt;){&lt;/span&gt;
            &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;edge&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;]-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
            &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;j&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;edge&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;]-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
            &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;w&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;edge&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="o"&gt;];&lt;/span&gt;
            &lt;span class="n"&gt;adj&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;get&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;).&lt;/span&gt;&lt;span class="na"&gt;add&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="k"&gt;new&lt;/span&gt; &lt;span class="nc"&gt;Pair&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;w&lt;/span&gt;&lt;span class="o"&gt;));&lt;/span&gt;
            &lt;span class="n"&gt;adj&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;get&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;).&lt;/span&gt;&lt;span class="na"&gt;add&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="k"&gt;new&lt;/span&gt; &lt;span class="nc"&gt;Pair&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;w&lt;/span&gt;&lt;span class="o"&gt;));&lt;/span&gt;
        &lt;span class="o"&gt;}&lt;/span&gt;
        &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;distance&lt;/span&gt;&lt;span class="o"&gt;[]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="k"&gt;new&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;];&lt;/span&gt;
        &lt;span class="nc"&gt;Arrays&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;fill&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;distance&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="nc"&gt;Integer&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;MAX_VALUE&lt;/span&gt;&lt;span class="o"&gt;);&lt;/span&gt;
        &lt;span class="nc"&gt;Queue&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="nc"&gt;Pair&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="n"&gt;q&lt;/span&gt;  &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="k"&gt;new&lt;/span&gt; &lt;span class="nc"&gt;PriorityQueue&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&amp;gt;((&lt;/span&gt;&lt;span class="n"&gt;a&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;b&lt;/span&gt;&lt;span class="o"&gt;)-&amp;gt;&lt;/span&gt; &lt;span class="nc"&gt;Integer&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;compare&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;a&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;c&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="n"&gt;b&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;c&lt;/span&gt;&lt;span class="o"&gt;));&lt;/span&gt;
        &lt;span class="n"&gt;distance&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="c1"&gt;// dijsktras with last node as source, this way we will have shortest distance to reach to this node from all the other nodes ( because this will compute shortest distance from last node to all the other node hence vice versa is also true)&lt;/span&gt;
        &lt;span class="n"&gt;q&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;add&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="k"&gt;new&lt;/span&gt; &lt;span class="nc"&gt;Pair&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;));&lt;/span&gt;
        &lt;span class="k"&gt;while&lt;/span&gt;&lt;span class="o"&gt;(!&lt;/span&gt;&lt;span class="n"&gt;q&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;isEmpty&lt;/span&gt;&lt;span class="o"&gt;()){&lt;/span&gt;
            &lt;span class="nc"&gt;Pair&lt;/span&gt; &lt;span class="n"&gt;p&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;q&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;remove&lt;/span&gt;&lt;span class="o"&gt;();&lt;/span&gt;
            &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;node&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;p&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;j&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
            &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;cost&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;p&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;c&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
            &lt;span class="k"&gt;if&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;cost&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="n"&gt;distance&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;node&lt;/span&gt;&lt;span class="o"&gt;])&lt;/span&gt; &lt;span class="k"&gt;continue&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt; &lt;span class="c1"&gt;//additional optimization (code works without this though)&lt;/span&gt;
            &lt;span class="k"&gt;for&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="nc"&gt;Pair&lt;/span&gt; &lt;span class="n"&gt;adjPair&lt;/span&gt; &lt;span class="o"&gt;:&lt;/span&gt; &lt;span class="n"&gt;adj&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;get&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;node&lt;/span&gt;&lt;span class="o"&gt;)){&lt;/span&gt;
                &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;adjNode&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;adjPair&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;j&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
                &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;w&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;adjPair&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;c&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
                &lt;span class="k"&gt;if&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;distance&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;adjNode&lt;/span&gt;&lt;span class="o"&gt;]&amp;gt;&lt;/span&gt; &lt;span class="n"&gt;cost&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;w&lt;/span&gt;&lt;span class="o"&gt;){&lt;/span&gt;
                    &lt;span class="n"&gt;distance&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;adjNode&lt;/span&gt;&lt;span class="o"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;cost&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;w&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
                    &lt;span class="n"&gt;q&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;add&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="k"&gt;new&lt;/span&gt; &lt;span class="nc"&gt;Pair&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;adjNode&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="n"&gt;distance&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;adjNode&lt;/span&gt;&lt;span class="o"&gt;]));&lt;/span&gt;
                &lt;span class="o"&gt;}&lt;/span&gt;
            &lt;span class="o"&gt;}&lt;/span&gt;
        &lt;span class="o"&gt;}&lt;/span&gt;
        &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;dp&lt;/span&gt;&lt;span class="o"&gt;[]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="k"&gt;new&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;];&lt;/span&gt;
        &lt;span class="nc"&gt;Arrays&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;fill&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;dp&lt;/span&gt;&lt;span class="o"&gt;,-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;);&lt;/span&gt;
        &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;restrictedPath&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;dfs&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;distance&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;adj&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="n"&gt;dp&lt;/span&gt;&lt;span class="o"&gt;);&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;restrictedPath&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
    &lt;span class="o"&gt;}&lt;/span&gt;
    &lt;span class="kd"&gt;public&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="nf"&gt;dfs&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt;&lt;span class="o"&gt;[]&lt;/span&gt; &lt;span class="n"&gt;distance&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="nc"&gt;List&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="nc"&gt;List&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="nc"&gt;Pair&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&amp;gt;&lt;/span&gt; &lt;span class="n"&gt;adj&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;lastNode&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;dp&lt;/span&gt;&lt;span class="o"&gt;[]){&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="n"&gt;lastNode&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt; &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;dp&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;]!=-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt; &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;dp&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;];&lt;/span&gt;
        &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;count&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="k"&gt;for&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="nc"&gt;Pair&lt;/span&gt; &lt;span class="nl"&gt;adjPair:&lt;/span&gt; &lt;span class="n"&gt;adj&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;get&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;)){&lt;/span&gt;
            &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;j&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;adjPair&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;j&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
            &lt;span class="k"&gt;if&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;distance&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;]&amp;lt;=&lt;/span&gt;&lt;span class="n"&gt;distance&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;])&lt;/span&gt; &lt;span class="k"&gt;continue&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
            &lt;span class="n"&gt;count&lt;/span&gt;&lt;span class="o"&gt;+=&lt;/span&gt;&lt;span class="n"&gt;dfs&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="n"&gt;distance&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="n"&gt;adj&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;lastNode&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="n"&gt;dp&lt;/span&gt;&lt;span class="o"&gt;);&lt;/span&gt;
            &lt;span class="n"&gt;count&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;count&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt; &lt;span class="o"&gt;%((&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="n"&gt;e9&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="mi"&gt;7&lt;/span&gt;&lt;span class="o"&gt;);&lt;/span&gt;
        &lt;span class="o"&gt;}&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;dp&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;count&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
    &lt;span class="o"&gt;}&lt;/span&gt;
&lt;span class="o"&gt;}&lt;/span&gt;
&lt;span class="kd"&gt;class&lt;/span&gt; &lt;span class="nc"&gt;Pair&lt;/span&gt;&lt;span class="o"&gt;{&lt;/span&gt;
    &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
    &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;c&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
    &lt;span class="kd"&gt;public&lt;/span&gt; &lt;span class="nf"&gt;Pair&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;j&lt;/span&gt; &lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;c&lt;/span&gt;&lt;span class="o"&gt;){&lt;/span&gt;
        &lt;span class="k"&gt;this&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;j&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="k"&gt;this&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;c&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;c&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
    &lt;span class="o"&gt;}&lt;/span&gt;
&lt;span class="o"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



</description>
      <category>wcontest</category>
      <category>231</category>
      <category>dp</category>
      <category>dijkstras</category>
    </item>
    <item>
      <title>Minimum Amount of time to Brew Potion</title>
      <dc:creator>Prashant Mishra</dc:creator>
      <pubDate>Fri, 16 Oct 2026 16:55:50 +0000</pubDate>
      <link>https://dev.to/prashantrmishra/minimum-amount-of-time-to-brew-potion-lca</link>
      <guid>https://dev.to/prashantrmishra/minimum-amount-of-time-to-brew-potion-lca</guid>
      <description>&lt;p&gt;&lt;a href="https://leetcode.com/problems/find-the-minimum-amount-of-time-to-brew-potions/description/" rel="noopener noreferrer"&gt;Problem&lt;/a&gt;&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight java"&gt;&lt;code&gt;&lt;span class="cm"&gt;/*
Let start[j] denote the time at which potion j starts at wizard 0.
Because each potion passes through every wizard sequentially, the time potion j reaches wizard i is:
start[j] + mana[j]* summation(k=0 to i-1) of skill[k]

Now consider two consecutive potions, j-1 and j.
For every wizard i, potion j must not reach that wizard before the wizard has finished processing potion j-1.
This gives us a constraint on start[j].Your task is to derive the constraint.

The finishing time of potion j-1 at wizard i is:
start[j-1] + mana[j-1] * summation(k =0 to i) of skill[k]

The arrival time of potion j at wizard i is:
start[j] + mana[j] * summation(k =0 to i-1) of skill[k]

Since the wizard must be available when the next potion arrives, we need:
Arrival time of j &amp;gt;= finish time of j-1 
i.e 
start[j] + mana[j] * summation(k =0 to i-1) of skill[k] &amp;gt;= start[j-1] + mana[j-1] * summation(k =0 to i) of skill[k]
Rearrange this inequality to get a lower bound for start[j].

For every wizard i, the lower bound (atleast start time for potion j) i.e start[j] is:
start[j-1] + mana[j-1]*summation(k = 0 to i) of skill[k] - mana[j]*summation(k=0 to i-1) skill[k]

Two important details:
1. For the previous potion, sum skills from 0 through i, inclusive, because wizard i must finish that potion.
2. For the current potion, sum skills from 0 through i-1, because the potion must arrive at wizard i before it starts processing.
Since this condition must hold for every wizard, we take the maximum lower bound across all wizards:
start[j] = Math.max(lowerboundStart[j] for all the wizards i to m-1)

*/&lt;/span&gt;

&lt;span class="kd"&gt;class&lt;/span&gt; &lt;span class="nc"&gt;Solution&lt;/span&gt; &lt;span class="o"&gt;{&lt;/span&gt;
    &lt;span class="kd"&gt;public&lt;/span&gt; &lt;span class="kt"&gt;long&lt;/span&gt; &lt;span class="nf"&gt;minTime&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt;&lt;span class="o"&gt;[]&lt;/span&gt; &lt;span class="n"&gt;skill&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt;&lt;span class="o"&gt;[]&lt;/span&gt; &lt;span class="n"&gt;mana&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt; &lt;span class="o"&gt;{&lt;/span&gt;
        &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;m&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;skill&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;length&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;n&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;mana&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;length&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="kt"&gt;long&lt;/span&gt; &lt;span class="n"&gt;prefix&lt;/span&gt;&lt;span class="o"&gt;[]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="k"&gt;new&lt;/span&gt; &lt;span class="kt"&gt;long&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;m&lt;/span&gt;&lt;span class="o"&gt;];&lt;/span&gt;
        &lt;span class="kt"&gt;long&lt;/span&gt; &lt;span class="n"&gt;sum&lt;/span&gt;  &lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="k"&gt;for&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="n"&gt;m&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;++){&lt;/span&gt;
            &lt;span class="n"&gt;sum&lt;/span&gt;&lt;span class="o"&gt;+=&lt;/span&gt;&lt;span class="n"&gt;skill&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;];&lt;/span&gt;
            &lt;span class="n"&gt;prefix&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;sum&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="o"&gt;}&lt;/span&gt;


        &lt;span class="kt"&gt;long&lt;/span&gt; &lt;span class="n"&gt;prevStartTime&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="kt"&gt;long&lt;/span&gt; &lt;span class="n"&gt;prevFinish&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;prevStartTime&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;mana&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;]*&lt;/span&gt;&lt;span class="n"&gt;prefix&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;m&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;];&lt;/span&gt;

        &lt;span class="k"&gt;for&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;j&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;++){&lt;/span&gt;
            &lt;span class="kt"&gt;long&lt;/span&gt; &lt;span class="n"&gt;maxLowestStartTime&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nc"&gt;Long&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;MIN_VALUE&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
            &lt;span class="k"&gt;for&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="n"&gt;m&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;++){&lt;/span&gt;
                &lt;span class="n"&gt;maxLowestStartTime&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nc"&gt;Math&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;max&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;maxLowestStartTime&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="n"&gt;prevStartTime&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;mana&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;]*&lt;/span&gt;&lt;span class="n"&gt;prefix&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;]&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="o"&gt;((&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt; &lt;span class="o"&gt;?&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt; &lt;span class="o"&gt;:&lt;/span&gt; &lt;span class="n"&gt;mana&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;]*&lt;/span&gt;&lt;span class="n"&gt;prefix&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;]));&lt;/span&gt;
            &lt;span class="o"&gt;}&lt;/span&gt;
            &lt;span class="n"&gt;prevFinish&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;maxLowestStartTime&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;mana&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;]*&lt;/span&gt;&lt;span class="n"&gt;prefix&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;m&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;];&lt;/span&gt;
            &lt;span class="n"&gt;prevStartTime&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;maxLowestStartTime&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="o"&gt;}&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;prevFinish&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
    &lt;span class="o"&gt;}&lt;/span&gt;
&lt;span class="o"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



</description>
      <category>leetcode</category>
      <category>prefixsum</category>
    </item>
    <item>
      <title>Bust Balloons</title>
      <dc:creator>Prashant Mishra</dc:creator>
      <pubDate>Sat, 10 Oct 2026 16:27:02 +0000</pubDate>
      <link>https://dev.to/prashantrmishra/bust-balloons-4aci</link>
      <guid>https://dev.to/prashantrmishra/bust-balloons-4aci</guid>
      <description>&lt;p&gt;&lt;a href="https://leetcode.com/problems/burst-balloons/description/" rel="noopener noreferrer"&gt;Burst Balloons&lt;/a&gt;&lt;br&gt;
&lt;a href="https://www.youtube.com/watch?v=Yz4LlDSlkns" rel="noopener noreferrer"&gt;Refer this for intuition&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;Memoization&lt;/strong&gt;&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight java"&gt;&lt;code&gt;&lt;span class="kd"&gt;class&lt;/span&gt; &lt;span class="nc"&gt;Solution&lt;/span&gt; &lt;span class="o"&gt;{&lt;/span&gt;
    &lt;span class="kd"&gt;public&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="nf"&gt;maxCoins&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt;&lt;span class="o"&gt;[]&lt;/span&gt; &lt;span class="n"&gt;nums&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt; &lt;span class="o"&gt;{&lt;/span&gt;
        &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;arr&lt;/span&gt;&lt;span class="o"&gt;[]&lt;/span&gt;  &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="k"&gt;new&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;nums&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;length&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="o"&gt;];&lt;/span&gt;
        &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;dp&lt;/span&gt;&lt;span class="o"&gt;[][]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="k"&gt;new&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;arr&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;length&lt;/span&gt;&lt;span class="o"&gt;][&lt;/span&gt;&lt;span class="n"&gt;arr&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;length&lt;/span&gt;&lt;span class="o"&gt;];&lt;/span&gt;
        &lt;span class="k"&gt;for&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;d&lt;/span&gt;&lt;span class="o"&gt;[]&lt;/span&gt; &lt;span class="o"&gt;:&lt;/span&gt; &lt;span class="n"&gt;dp&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt;&lt;span class="nc"&gt;Arrays&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;fill&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;d&lt;/span&gt;&lt;span class="o"&gt;,-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;);&lt;/span&gt;
        &lt;span class="n"&gt;arr&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="n"&gt;arr&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;arr&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;length&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="k"&gt;for&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="n"&gt;arr&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;length&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;++){&lt;/span&gt;
            &lt;span class="n"&gt;arr&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;nums&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;];&lt;/span&gt;
        &lt;span class="o"&gt;}&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="nf"&gt;find&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;nums&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;length&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;arr&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="n"&gt;dp&lt;/span&gt;&lt;span class="o"&gt;);&lt;/span&gt;
    &lt;span class="o"&gt;}&lt;/span&gt;
    &lt;span class="kd"&gt;public&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="nf"&gt;find&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;j&lt;/span&gt; &lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;nums&lt;/span&gt;&lt;span class="o"&gt;[],&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="o"&gt;[][]&lt;/span&gt; &lt;span class="n"&gt;dp&lt;/span&gt;&lt;span class="o"&gt;){&lt;/span&gt;
        &lt;span class="c1"&gt;///base case&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt; &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;dp&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;][&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;]!=-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt; &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;dp&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;][&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;];&lt;/span&gt;
        &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;cost&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nc"&gt;Integer&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;MIN_VALUE&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="k"&gt;for&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;index&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;&lt;span class="n"&gt;index&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;=&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;&lt;span class="n"&gt;index&lt;/span&gt;&lt;span class="o"&gt;++){&lt;/span&gt;
            &lt;span class="n"&gt;cost&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nc"&gt;Math&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;max&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;cost&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="n"&gt;nums&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;]*&lt;/span&gt;&lt;span class="n"&gt;nums&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;index&lt;/span&gt;&lt;span class="o"&gt;]*&lt;/span&gt; &lt;span class="n"&gt;nums&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;]&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;find&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;index&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;nums&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;dp&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;find&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;index&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="n"&gt;nums&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;dp&lt;/span&gt;&lt;span class="o"&gt;));&lt;/span&gt;
        &lt;span class="o"&gt;}&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;dp&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;][&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;]=&lt;/span&gt; &lt;span class="n"&gt;cost&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
    &lt;span class="o"&gt;}&lt;/span&gt;
&lt;span class="o"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;&lt;strong&gt;Tabulation&lt;/strong&gt;&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight java"&gt;&lt;code&gt;&lt;span class="kd"&gt;class&lt;/span&gt; &lt;span class="nc"&gt;Solution&lt;/span&gt; &lt;span class="o"&gt;{&lt;/span&gt;
    &lt;span class="kd"&gt;public&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="nf"&gt;maxCoins&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt;&lt;span class="o"&gt;[]&lt;/span&gt; &lt;span class="n"&gt;nums&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt; &lt;span class="o"&gt;{&lt;/span&gt;
        &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;arr&lt;/span&gt;&lt;span class="o"&gt;[]&lt;/span&gt;  &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="k"&gt;new&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;nums&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;length&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="o"&gt;];&lt;/span&gt;
        &lt;span class="n"&gt;arr&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="n"&gt;arr&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;arr&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;length&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="k"&gt;for&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="n"&gt;arr&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;length&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;++){&lt;/span&gt;
            &lt;span class="n"&gt;arr&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;nums&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;];&lt;/span&gt;
        &lt;span class="o"&gt;}&lt;/span&gt;

        &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;dp&lt;/span&gt;&lt;span class="o"&gt;[][]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="k"&gt;new&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;arr&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;length&lt;/span&gt;&lt;span class="o"&gt;][&lt;/span&gt;&lt;span class="n"&gt;arr&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;length&lt;/span&gt;&lt;span class="o"&gt;];&lt;/span&gt;

        &lt;span class="k"&gt;for&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;nums&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;length&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;=&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;--){&lt;/span&gt;
            &lt;span class="k"&gt;for&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;j&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;=&lt;/span&gt;&lt;span class="n"&gt;nums&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;length&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;++){&lt;/span&gt;
                &lt;span class="k"&gt;if&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt; &lt;span class="k"&gt;continue&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
                &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;cost&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nc"&gt;Integer&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;MIN_VALUE&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
                &lt;span class="k"&gt;for&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;index&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;&lt;span class="n"&gt;index&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;=&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;&lt;span class="n"&gt;index&lt;/span&gt;&lt;span class="o"&gt;++){&lt;/span&gt;
                &lt;span class="n"&gt;cost&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nc"&gt;Math&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;max&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;cost&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="n"&gt;arr&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;]*&lt;/span&gt;&lt;span class="n"&gt;arr&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;index&lt;/span&gt;&lt;span class="o"&gt;]*&lt;/span&gt; &lt;span class="n"&gt;arr&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;]&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;dp&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;][&lt;/span&gt;&lt;span class="n"&gt;index&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;]&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;dp&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;index&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;][&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;]);&lt;/span&gt;
                &lt;span class="o"&gt;}&lt;/span&gt;
                &lt;span class="n"&gt;dp&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;][&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;]=&lt;/span&gt; &lt;span class="n"&gt;cost&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
            &lt;span class="o"&gt;}&lt;/span&gt;
        &lt;span class="o"&gt;}&lt;/span&gt;

        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;dp&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;][&lt;/span&gt;&lt;span class="n"&gt;nums&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;length&lt;/span&gt;&lt;span class="o"&gt;];&lt;/span&gt;
    &lt;span class="o"&gt;}&lt;/span&gt;
&lt;span class="o"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



</description>
      <category>dp</category>
      <category>partitiondb</category>
      <category>leetcode</category>
    </item>
    <item>
      <title>Cherry Pickup</title>
      <dc:creator>Prashant Mishra</dc:creator>
      <pubDate>Tue, 06 Oct 2026 14:21:18 +0000</pubDate>
      <link>https://dev.to/prashantrmishra/cherry-pickup-6m5</link>
      <guid>https://dev.to/prashantrmishra/cherry-pickup-6m5</guid>
      <description>&lt;p&gt;&lt;a href="https://leetcode.com/problems/cherry-pickup/" rel="noopener noreferrer"&gt;Cherry pickup&lt;/a&gt;&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight java"&gt;&lt;code&gt;&lt;span class="kd"&gt;class&lt;/span&gt; &lt;span class="nc"&gt;Solution&lt;/span&gt; &lt;span class="o"&gt;{&lt;/span&gt;
    &lt;span class="kd"&gt;public&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="nf"&gt;cherryPickup&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt;&lt;span class="o"&gt;[][]&lt;/span&gt; &lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt; &lt;span class="o"&gt;{&lt;/span&gt;
        &lt;span class="c1"&gt;// was able to understand from the post: https://leetcode.com/problems/cherry-pickup/solutions/329945/very-easy-to-follow-step-by-step-recursi-sjpg/&lt;/span&gt;
        &lt;span class="c1"&gt;//instead of moving from 0,0 and m-1,n-1 at the same time have two people moving from the 0,0 position and at any given point of time if both are at the same cell count onlly once.&lt;/span&gt;
        &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;n&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;length&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;dp&lt;/span&gt;&lt;span class="o"&gt;[][][][]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="k"&gt;new&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;][&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;][&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;][&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;];&lt;/span&gt;
        &lt;span class="k"&gt;for&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;dp3&lt;/span&gt;&lt;span class="o"&gt;[][][]&lt;/span&gt; &lt;span class="o"&gt;:&lt;/span&gt; &lt;span class="n"&gt;dp&lt;/span&gt;&lt;span class="o"&gt;){&lt;/span&gt;
            &lt;span class="k"&gt;for&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;dp2&lt;/span&gt;&lt;span class="o"&gt;[][]:&lt;/span&gt; &lt;span class="n"&gt;dp3&lt;/span&gt;&lt;span class="o"&gt;){&lt;/span&gt;
                &lt;span class="k"&gt;for&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;dp1&lt;/span&gt;&lt;span class="o"&gt;[]&lt;/span&gt; &lt;span class="o"&gt;:&lt;/span&gt; &lt;span class="n"&gt;dp2&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt; &lt;span class="nc"&gt;Arrays&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;fill&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;dp1&lt;/span&gt;&lt;span class="o"&gt;,-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;);&lt;/span&gt;
            &lt;span class="o"&gt;}&lt;/span&gt;
        &lt;span class="o"&gt;}&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="nc"&gt;Math&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;max&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;max&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;length&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;dp&lt;/span&gt;&lt;span class="o"&gt;));&lt;/span&gt;
    &lt;span class="o"&gt;}&lt;/span&gt;
    &lt;span class="kd"&gt;public&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="nf"&gt;max&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;k&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;l&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="o"&gt;[][]&lt;/span&gt; &lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt;&lt;span class="o"&gt;[][][][]&lt;/span&gt;&lt;span class="n"&gt;dp&lt;/span&gt;&lt;span class="o"&gt;){&lt;/span&gt;
        &lt;span class="c1"&gt;//base case&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;=&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt; &lt;span class="o"&gt;||&lt;/span&gt; &lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;=&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt; &lt;span class="o"&gt;||&lt;/span&gt; &lt;span class="n"&gt;k&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;=&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt; &lt;span class="o"&gt;||&lt;/span&gt; &lt;span class="n"&gt;l&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;=&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt; &lt;span class="o"&gt;||&lt;/span&gt; &lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;][&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;]&lt;/span&gt; &lt;span class="o"&gt;==-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt; &lt;span class="o"&gt;||&lt;/span&gt; &lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;k&lt;/span&gt;&lt;span class="o"&gt;][&lt;/span&gt;&lt;span class="n"&gt;l&lt;/span&gt;&lt;span class="o"&gt;]==-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt; &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="nc"&gt;Integer&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;MIN_VALUE&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
         &lt;span class="k"&gt;if&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&amp;amp;&lt;/span&gt; &lt;span class="n"&gt;j&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;){&lt;/span&gt;
            &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;][&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;];&lt;/span&gt;&lt;span class="c1"&gt;// if any one reached the end return the value at the location&lt;/span&gt;
        &lt;span class="o"&gt;}&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;k&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&amp;amp;&lt;/span&gt; &lt;span class="n"&gt;l&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;){&lt;/span&gt;
            &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;k&lt;/span&gt;&lt;span class="o"&gt;][&lt;/span&gt;&lt;span class="n"&gt;l&lt;/span&gt;&lt;span class="o"&gt;];&lt;/span&gt;&lt;span class="c1"&gt;// if any one reached the end return the value at the location&lt;/span&gt;
        &lt;span class="o"&gt;}&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;dp&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;][&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;][&lt;/span&gt;&lt;span class="n"&gt;k&lt;/span&gt;&lt;span class="o"&gt;][&lt;/span&gt;&lt;span class="n"&gt;l&lt;/span&gt;&lt;span class="o"&gt;]!=-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt; &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;dp&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;][&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;][&lt;/span&gt;&lt;span class="n"&gt;k&lt;/span&gt;&lt;span class="o"&gt;][&lt;/span&gt;&lt;span class="n"&gt;l&lt;/span&gt;&lt;span class="o"&gt;];&lt;/span&gt;
        &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;cherries&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;==&lt;/span&gt;&lt;span class="n"&gt;k&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&amp;amp;&lt;/span&gt; &lt;span class="n"&gt;j&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="n"&gt;l&lt;/span&gt;&lt;span class="o"&gt;){&lt;/span&gt;
            &lt;span class="n"&gt;cherries&lt;/span&gt;&lt;span class="o"&gt;+=&lt;/span&gt;&lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;][&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;];&lt;/span&gt;&lt;span class="c1"&gt;//count only once;&lt;/span&gt;
        &lt;span class="o"&gt;}&lt;/span&gt;
        &lt;span class="k"&gt;else&lt;/span&gt;&lt;span class="o"&gt;{&lt;/span&gt;
            &lt;span class="n"&gt;cherries&lt;/span&gt;&lt;span class="o"&gt;+=&lt;/span&gt;&lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;][&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;]&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;k&lt;/span&gt;&lt;span class="o"&gt;][&lt;/span&gt;&lt;span class="n"&gt;l&lt;/span&gt;&lt;span class="o"&gt;];&lt;/span&gt;
        &lt;span class="o"&gt;}&lt;/span&gt;
        &lt;span class="n"&gt;cherries&lt;/span&gt;&lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="nc"&gt;Math&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;max&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;max&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;k&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;l&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;dp&lt;/span&gt;&lt;span class="o"&gt;),&lt;/span&gt;
        &lt;span class="nc"&gt;Math&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;max&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;max&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;k&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;l&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;dp&lt;/span&gt;&lt;span class="o"&gt;),&lt;/span&gt;
        &lt;span class="nc"&gt;Math&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;max&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;max&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;k&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;l&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;dp&lt;/span&gt;&lt;span class="o"&gt;),&lt;/span&gt; 
        &lt;span class="n"&gt;max&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;k&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;l&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;dp&lt;/span&gt;&lt;span class="o"&gt;))));&lt;/span&gt;

        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;dp&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;][&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;][&lt;/span&gt;&lt;span class="n"&gt;k&lt;/span&gt;&lt;span class="o"&gt;][&lt;/span&gt;&lt;span class="n"&gt;l&lt;/span&gt;&lt;span class="o"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;cherries&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;

    &lt;span class="o"&gt;}&lt;/span&gt;
&lt;span class="o"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



</description>
      <category>leetcode</category>
      <category>4d</category>
      <category>dp</category>
    </item>
    <item>
      <title>Pattern: Array</title>
      <dc:creator>Prashant Mishra</dc:creator>
      <pubDate>Wed, 19 Aug 2026 17:34:19 +0000</pubDate>
      <link>https://dev.to/prashantrmishra/pattern-array-7c0</link>
      <guid>https://dev.to/prashantrmishra/pattern-array-7c0</guid>
      <description>&lt;p&gt;&lt;a href="https://www.geeksforgeeks.org/problems/longest-sub-array-with-sum-k0809/1" rel="noopener noreferrer"&gt;Longest Subarray with sum K&lt;/a&gt;&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight java"&gt;&lt;code&gt;&lt;span class="kd"&gt;class&lt;/span&gt; &lt;span class="nc"&gt;Solution&lt;/span&gt; &lt;span class="o"&gt;{&lt;/span&gt;
    &lt;span class="kd"&gt;public&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="nf"&gt;longestSubarray&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt;&lt;span class="o"&gt;[]&lt;/span&gt; &lt;span class="n"&gt;arr&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;k&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt; &lt;span class="o"&gt;{&lt;/span&gt;
        &lt;span class="nc"&gt;Map&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="nc"&gt;Integer&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="nc"&gt;Integer&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="n"&gt;map&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="k"&gt;new&lt;/span&gt; &lt;span class="nc"&gt;HashMap&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&amp;gt;();&lt;/span&gt;
        &lt;span class="n"&gt;map&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;put&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;,-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;);&lt;/span&gt;&lt;span class="c1"&gt;//handle subarray that start from index 0: edge case when the length is 1 of the subarray that sums to k&lt;/span&gt;
        &lt;span class="c1"&gt;//example arr[] = [3], k =3, map=[{0,-1}], at 0 prefixSum = 3 and 3-3 = 0 i.e currentIndex i.e 0 - map.get(0) = -1 = 0-(-1) = 1 i.e the length of the subarray&lt;/span&gt;
        &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;prefixSum&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;len&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="k"&gt;for&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="n"&gt;arr&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;length&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;++){&lt;/span&gt;
            &lt;span class="n"&gt;prefixSum&lt;/span&gt;&lt;span class="o"&gt;+=&lt;/span&gt;&lt;span class="n"&gt;arr&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;];&lt;/span&gt;
            &lt;span class="k"&gt;if&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;map&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;containsKey&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;prefixSum&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="n"&gt;k&lt;/span&gt;&lt;span class="o"&gt;)){&lt;/span&gt;
                &lt;span class="n"&gt;len&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nc"&gt;Math&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;max&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;len&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="n"&gt;map&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;get&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;prefixSum&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="n"&gt;k&lt;/span&gt;&lt;span class="o"&gt;));&lt;/span&gt;
            &lt;span class="o"&gt;}&lt;/span&gt;
            &lt;span class="k"&gt;if&lt;/span&gt;&lt;span class="o"&gt;(!&lt;/span&gt;&lt;span class="n"&gt;map&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;containsKey&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;prefixSum&lt;/span&gt;&lt;span class="o"&gt;))&lt;/span&gt; &lt;span class="n"&gt;map&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;put&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;prefixSum&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;);&lt;/span&gt;
        &lt;span class="o"&gt;}&lt;/span&gt;

        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;len&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;

    &lt;span class="o"&gt;}&lt;/span&gt;
&lt;span class="o"&gt;}&lt;/span&gt;

&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;&lt;a href="https://leetcode.com/problems/subarray-sum-equals-k/description/" rel="noopener noreferrer"&gt;Subarray sum equal to k&lt;/a&gt;&lt;br&gt;
note: this is exactly same as the above one with slight twist&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight java"&gt;&lt;code&gt;&lt;span class="kd"&gt;class&lt;/span&gt; &lt;span class="nc"&gt;Solution&lt;/span&gt; &lt;span class="o"&gt;{&lt;/span&gt;
    &lt;span class="kd"&gt;public&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="nf"&gt;subarraySum&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt;&lt;span class="o"&gt;[]&lt;/span&gt; &lt;span class="n"&gt;arr&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;k&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt; &lt;span class="o"&gt;{&lt;/span&gt;
        &lt;span class="nc"&gt;Map&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="nc"&gt;Integer&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="nc"&gt;Integer&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="n"&gt;map&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="k"&gt;new&lt;/span&gt; &lt;span class="nc"&gt;HashMap&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&amp;gt;();&lt;/span&gt;
        &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;prefixSum&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;len&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;count&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="n"&gt;map&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;put&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;);&lt;/span&gt;
        &lt;span class="k"&gt;for&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="n"&gt;arr&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;length&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;++){&lt;/span&gt;
            &lt;span class="n"&gt;prefixSum&lt;/span&gt;&lt;span class="o"&gt;+=&lt;/span&gt;&lt;span class="n"&gt;arr&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;];&lt;/span&gt;
            &lt;span class="k"&gt;if&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;map&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;containsKey&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;prefixSum&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="n"&gt;k&lt;/span&gt;&lt;span class="o"&gt;)){&lt;/span&gt;
                &lt;span class="c1"&gt;//len = Math.max(len, i-map.get(prefixSum-k));&lt;/span&gt;
                &lt;span class="n"&gt;count&lt;/span&gt;&lt;span class="o"&gt;+=&lt;/span&gt;&lt;span class="n"&gt;map&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;get&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;prefixSum&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="n"&gt;k&lt;/span&gt;&lt;span class="o"&gt;);&lt;/span&gt;
            &lt;span class="o"&gt;}&lt;/span&gt;
            &lt;span class="n"&gt;map&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;put&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;prefixSum&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="n"&gt;map&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;getOrDefault&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;prefixSum&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;)+&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;);&lt;/span&gt;
            &lt;span class="c1"&gt;// if(!map.containsKey(prefixSum)) map.put(prefixSum, i);&lt;/span&gt;
        &lt;span class="o"&gt;}&lt;/span&gt;

        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;count&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
    &lt;span class="o"&gt;}&lt;/span&gt;
&lt;span class="o"&gt;}&lt;/span&gt;

&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt; 
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



</description>
      <category>leetcode</category>
    </item>
    <item>
      <title>Pattern: BST</title>
      <dc:creator>Prashant Mishra</dc:creator>
      <pubDate>Fri, 14 Aug 2026 15:05:55 +0000</pubDate>
      <link>https://dev.to/prashantrmishra/delete-a-node-in-bst-42g7</link>
      <guid>https://dev.to/prashantrmishra/delete-a-node-in-bst-42g7</guid>
      <description>&lt;p&gt;&lt;a href="https://leetcode.com/problems/delete-node-in-a-bst/description/" rel="noopener noreferrer"&gt;Delete a node in bst&lt;/a&gt;&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight java"&gt;&lt;code&gt;&lt;span class="cm"&gt;/**
 * Definition for a binary tree node.
 * public class TreeNode {
 *     int val;
 *     TreeNode left;
 *     TreeNode right;
 *     TreeNode() {}
 *     TreeNode(int val) { this.val = val; }
 *     TreeNode(int val, TreeNode left, TreeNode right) {
 *         this.val = val;
 *         this.left = left;
 *         this.right = right;
 *     }
 * }
 */&lt;/span&gt;
&lt;span class="kd"&gt;class&lt;/span&gt; &lt;span class="nc"&gt;Solution&lt;/span&gt; &lt;span class="o"&gt;{&lt;/span&gt;
    &lt;span class="kd"&gt;public&lt;/span&gt; &lt;span class="nc"&gt;TreeNode&lt;/span&gt; &lt;span class="nf"&gt;deleteNode&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="nc"&gt;TreeNode&lt;/span&gt; &lt;span class="n"&gt;root&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;key&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt; &lt;span class="o"&gt;{&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="nf"&gt;update&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;root&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="kc"&gt;null&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="n"&gt;key&lt;/span&gt;&lt;span class="o"&gt;);&lt;/span&gt;
    &lt;span class="o"&gt;}&lt;/span&gt;

    &lt;span class="kd"&gt;public&lt;/span&gt; &lt;span class="nc"&gt;TreeNode&lt;/span&gt; &lt;span class="nf"&gt;update&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="nc"&gt;TreeNode&lt;/span&gt; &lt;span class="n"&gt;root&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="nc"&gt;TreeNode&lt;/span&gt; &lt;span class="n"&gt;parent&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;key&lt;/span&gt;&lt;span class="o"&gt;){&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;root&lt;/span&gt;&lt;span class="o"&gt;==&lt;/span&gt;&lt;span class="kc"&gt;null&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt; &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;root&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;root&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;val&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="n"&gt;key&lt;/span&gt;&lt;span class="o"&gt;){&lt;/span&gt;
            &lt;span class="nc"&gt;TreeNode&lt;/span&gt; &lt;span class="n"&gt;left&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;root&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;left&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
            &lt;span class="n"&gt;root&lt;/span&gt;  &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;root&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;right&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
            &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="nf"&gt;add&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;left&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;root&lt;/span&gt;&lt;span class="o"&gt;);&lt;/span&gt;
        &lt;span class="o"&gt;}&lt;/span&gt;
        &lt;span class="n"&gt;root&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;left&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;update&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;root&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;left&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="n"&gt;root&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;key&lt;/span&gt;&lt;span class="o"&gt;);&lt;/span&gt;
        &lt;span class="n"&gt;root&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;right&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;update&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;root&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;right&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="n"&gt;root&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="n"&gt;key&lt;/span&gt;&lt;span class="o"&gt;);&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;root&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
    &lt;span class="o"&gt;}&lt;/span&gt;

    &lt;span class="kd"&gt;public&lt;/span&gt; &lt;span class="nc"&gt;TreeNode&lt;/span&gt; &lt;span class="nf"&gt;add&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="nc"&gt;TreeNode&lt;/span&gt; &lt;span class="n"&gt;node&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="nc"&gt;TreeNode&lt;/span&gt; &lt;span class="n"&gt;root&lt;/span&gt;&lt;span class="o"&gt;){&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;node&lt;/span&gt;&lt;span class="o"&gt;==&lt;/span&gt;&lt;span class="kc"&gt;null&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt; &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;root&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;root&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt;&lt;span class="kc"&gt;null&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt; &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;node&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;root&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;val&lt;/span&gt; &lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="n"&gt;node&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;val&lt;/span&gt;&lt;span class="o"&gt;){&lt;/span&gt;
            &lt;span class="n"&gt;root&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;left&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;add&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;node&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="n"&gt;root&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;left&lt;/span&gt;&lt;span class="o"&gt;);&lt;/span&gt;
        &lt;span class="o"&gt;}&lt;/span&gt;
        &lt;span class="k"&gt;else&lt;/span&gt; &lt;span class="nf"&gt;if&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;root&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;val&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;&lt;/span&gt; &lt;span class="n"&gt;node&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;val&lt;/span&gt;&lt;span class="o"&gt;){&lt;/span&gt;
            &lt;span class="n"&gt;root&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;right&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;add&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;node&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="n"&gt;root&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;right&lt;/span&gt;&lt;span class="o"&gt;);&lt;/span&gt;
        &lt;span class="o"&gt;}&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;root&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
    &lt;span class="o"&gt;}&lt;/span&gt;
&lt;span class="o"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



</description>
      <category>bst</category>
      <category>tree</category>
      <category>leetcode</category>
    </item>
    <item>
      <title>Word search</title>
      <dc:creator>Prashant Mishra</dc:creator>
      <pubDate>Mon, 13 Jul 2026 17:26:21 +0000</pubDate>
      <link>https://dev.to/prashantrmishra/word-search-p3h</link>
      <guid>https://dev.to/prashantrmishra/word-search-p3h</guid>
      <description>&lt;p&gt;&lt;a href="https://leetcode.com/problems/word-search/" rel="noopener noreferrer"&gt;Word search&lt;/a&gt;&lt;br&gt;
We have to search if the given word is present in the metric (4 directionally connected cells) or not&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight java"&gt;&lt;code&gt;&lt;span class="kd"&gt;class&lt;/span&gt; &lt;span class="nc"&gt;Solution&lt;/span&gt; &lt;span class="o"&gt;{&lt;/span&gt;
    &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;dirs&lt;/span&gt;&lt;span class="o"&gt;[][]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="o"&gt;{{&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;,-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;},{&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;},{-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;},{&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;}};&lt;/span&gt;
    &lt;span class="kd"&gt;public&lt;/span&gt; &lt;span class="kt"&gt;boolean&lt;/span&gt; &lt;span class="nf"&gt;exist&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;char&lt;/span&gt;&lt;span class="o"&gt;[][]&lt;/span&gt; &lt;span class="n"&gt;board&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="nc"&gt;String&lt;/span&gt; &lt;span class="n"&gt;word&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt; &lt;span class="o"&gt;{&lt;/span&gt;
        &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;visited&lt;/span&gt;&lt;span class="o"&gt;[][]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="k"&gt;new&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;board&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;length&lt;/span&gt;&lt;span class="o"&gt;][&lt;/span&gt;&lt;span class="n"&gt;board&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;].&lt;/span&gt;&lt;span class="na"&gt;length&lt;/span&gt;&lt;span class="o"&gt;];&lt;/span&gt;
        &lt;span class="k"&gt;for&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="n"&gt;board&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;length&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;++){&lt;/span&gt;
            &lt;span class="k"&gt;for&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;j&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="n"&gt;board&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;].&lt;/span&gt;&lt;span class="na"&gt;length&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;++){&lt;/span&gt;
                &lt;span class="k"&gt;if&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;board&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;][&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;]==&lt;/span&gt;&lt;span class="n"&gt;word&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;charAt&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;)){&lt;/span&gt;
                    &lt;span class="k"&gt;if&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;find&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;word&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;board&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;visited&lt;/span&gt;&lt;span class="o"&gt;))&lt;/span&gt; &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="kc"&gt;true&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
                &lt;span class="o"&gt;}&lt;/span&gt;
            &lt;span class="o"&gt;}&lt;/span&gt;
        &lt;span class="o"&gt;}&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="kc"&gt;false&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
    &lt;span class="o"&gt;}&lt;/span&gt;

    &lt;span class="kd"&gt;public&lt;/span&gt; &lt;span class="kt"&gt;boolean&lt;/span&gt; &lt;span class="nf"&gt;find&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;index&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="nc"&gt;String&lt;/span&gt; &lt;span class="n"&gt;word&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="kt"&gt;char&lt;/span&gt;&lt;span class="o"&gt;[][]&lt;/span&gt; &lt;span class="n"&gt;board&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="o"&gt;[][]&lt;/span&gt; &lt;span class="n"&gt;visited&lt;/span&gt;&lt;span class="o"&gt;){&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;index&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="n"&gt;word&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;length&lt;/span&gt;&lt;span class="o"&gt;()-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt; &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="kc"&gt;true&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;

        &lt;span class="n"&gt;visited&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;][&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="k"&gt;for&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;dir&lt;/span&gt;&lt;span class="o"&gt;[]&lt;/span&gt; &lt;span class="o"&gt;:&lt;/span&gt; &lt;span class="n"&gt;dirs&lt;/span&gt;&lt;span class="o"&gt;){&lt;/span&gt;
            &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="no"&gt;I&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;dir&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;];&lt;/span&gt;
            &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="no"&gt;J&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;j&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;dir&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;];&lt;/span&gt;
            &lt;span class="k"&gt;if&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="no"&gt;I&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="n"&gt;board&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;length&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&amp;amp;&lt;/span&gt; &lt;span class="no"&gt;I&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;=&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&amp;amp;&lt;/span&gt; &lt;span class="no"&gt;J&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="n"&gt;board&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;].&lt;/span&gt;&lt;span class="na"&gt;length&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&amp;amp;&lt;/span&gt; &lt;span class="no"&gt;J&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;=&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&amp;amp;&lt;/span&gt; &lt;span class="n"&gt;visited&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="no"&gt;I&lt;/span&gt;&lt;span class="o"&gt;][&lt;/span&gt;&lt;span class="no"&gt;J&lt;/span&gt;&lt;span class="o"&gt;]==&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&amp;amp;&lt;/span&gt; &lt;span class="n"&gt;board&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="no"&gt;I&lt;/span&gt;&lt;span class="o"&gt;][&lt;/span&gt;&lt;span class="no"&gt;J&lt;/span&gt;&lt;span class="o"&gt;]&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="n"&gt;word&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;charAt&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;index&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;))&lt;/span&gt; &lt;span class="o"&gt;{&lt;/span&gt;
                &lt;span class="k"&gt;if&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;find&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;index&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="n"&gt;word&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;board&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="no"&gt;I&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="no"&gt;J&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;visited&lt;/span&gt;&lt;span class="o"&gt;))&lt;/span&gt; &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="kc"&gt;true&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
            &lt;span class="o"&gt;}&lt;/span&gt;
        &lt;span class="o"&gt;}&lt;/span&gt;
        &lt;span class="n"&gt;visited&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;][&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="kc"&gt;false&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
    &lt;span class="o"&gt;}&lt;/span&gt;
&lt;span class="o"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



</description>
      <category>backtracking</category>
      <category>dsa</category>
      <category>leetcode</category>
    </item>
    <item>
      <title>N queen Problem</title>
      <dc:creator>Prashant Mishra</dc:creator>
      <pubDate>Mon, 06 Jul 2026 15:48:47 +0000</pubDate>
      <link>https://dev.to/prashantrmishra/n-queen-problem-4jbc</link>
      <guid>https://dev.to/prashantrmishra/n-queen-problem-4jbc</guid>
      <description>&lt;p&gt;&lt;a href="https://leetcode.com/problems/n-queens/description/" rel="noopener noreferrer"&gt;N queen&lt;/a&gt;&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight java"&gt;&lt;code&gt;&lt;span class="kd"&gt;class&lt;/span&gt; &lt;span class="nc"&gt;Solution&lt;/span&gt; &lt;span class="o"&gt;{&lt;/span&gt;
    &lt;span class="nc"&gt;List&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="nc"&gt;List&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="nc"&gt;String&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&amp;gt;&lt;/span&gt; &lt;span class="n"&gt;list&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="k"&gt;new&lt;/span&gt; &lt;span class="nc"&gt;ArrayList&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&amp;gt;();&lt;/span&gt;
    &lt;span class="kd"&gt;public&lt;/span&gt; &lt;span class="nc"&gt;List&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="nc"&gt;List&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="nc"&gt;String&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&amp;gt;&lt;/span&gt; &lt;span class="nf"&gt;solveNQueens&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt; &lt;span class="o"&gt;{&lt;/span&gt;
        &lt;span class="c1"&gt;//try to put in the first row&lt;/span&gt;
        &lt;span class="kt"&gt;char&lt;/span&gt;&lt;span class="o"&gt;[][]&lt;/span&gt; &lt;span class="n"&gt;grid&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="k"&gt;new&lt;/span&gt; &lt;span class="kt"&gt;char&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;][&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;];&lt;/span&gt;
        &lt;span class="k"&gt;for&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;char&lt;/span&gt; &lt;span class="n"&gt;c&lt;/span&gt;&lt;span class="o"&gt;[]&lt;/span&gt; &lt;span class="o"&gt;:&lt;/span&gt; &lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="o"&gt;){&lt;/span&gt;
            &lt;span class="nc"&gt;Arrays&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;fill&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;c&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="sc"&gt;'.'&lt;/span&gt;&lt;span class="o"&gt;);&lt;/span&gt;
        &lt;span class="o"&gt;}&lt;/span&gt;

        &lt;span class="n"&gt;check&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;);&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;list&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
    &lt;span class="o"&gt;}&lt;/span&gt;

    &lt;span class="kd"&gt;public&lt;/span&gt; &lt;span class="kt"&gt;void&lt;/span&gt; &lt;span class="nf"&gt;check&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="kt"&gt;char&lt;/span&gt; &lt;span class="o"&gt;[]&lt;/span&gt; &lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="o"&gt;[],&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;){&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;=&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;){&lt;/span&gt;
            &lt;span class="n"&gt;found&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="o"&gt;);&lt;/span&gt;
            &lt;span class="k"&gt;return&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="o"&gt;}&lt;/span&gt;
        &lt;span class="k"&gt;for&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;j&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;++){&lt;/span&gt;
            &lt;span class="k"&gt;if&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;canPlace&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="o"&gt;)){&lt;/span&gt;
                &lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;][&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="sc"&gt;'Q'&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
                &lt;span class="n"&gt;check&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;);&lt;/span&gt;
                &lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;][&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="sc"&gt;'.'&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
            &lt;span class="o"&gt;}&lt;/span&gt;
        &lt;span class="o"&gt;}&lt;/span&gt;
    &lt;span class="o"&gt;}&lt;/span&gt;
    &lt;span class="kd"&gt;public&lt;/span&gt; &lt;span class="kt"&gt;void&lt;/span&gt; &lt;span class="nf"&gt;found&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;char&lt;/span&gt;&lt;span class="o"&gt;[][]&lt;/span&gt; &lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="o"&gt;){&lt;/span&gt;
        &lt;span class="nc"&gt;List&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="nc"&gt;String&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="n"&gt;l&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="k"&gt;new&lt;/span&gt; &lt;span class="nc"&gt;ArrayList&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&amp;gt;();&lt;/span&gt;
        &lt;span class="k"&gt;for&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;length&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;++){&lt;/span&gt;
            &lt;span class="n"&gt;l&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;add&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="k"&gt;new&lt;/span&gt; &lt;span class="nc"&gt;String&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;]));&lt;/span&gt;
        &lt;span class="o"&gt;}&lt;/span&gt;
        &lt;span class="n"&gt;list&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;add&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;l&lt;/span&gt;&lt;span class="o"&gt;);&lt;/span&gt;
    &lt;span class="o"&gt;}&lt;/span&gt;
    &lt;span class="kd"&gt;public&lt;/span&gt; &lt;span class="kt"&gt;boolean&lt;/span&gt; &lt;span class="nf"&gt;canPlace&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="kt"&gt;char&lt;/span&gt; &lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="o"&gt;[][]){&lt;/span&gt;
        &lt;span class="c1"&gt;//base case&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;][&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;]&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="sc"&gt;'Q'&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt; &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="kc"&gt;false&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="no"&gt;I&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="no"&gt;J&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="c1"&gt;//same column back&lt;/span&gt;
        &lt;span class="k"&gt;while&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="no"&gt;I&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;=&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;){&lt;/span&gt;
            &lt;span class="k"&gt;if&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="no"&gt;I&lt;/span&gt;&lt;span class="o"&gt;][&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;]==&lt;/span&gt;&lt;span class="sc"&gt;'Q'&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt; &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="kc"&gt;false&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
            &lt;span class="no"&gt;I&lt;/span&gt;&lt;span class="o"&gt;--;&lt;/span&gt;
        &lt;span class="o"&gt;}&lt;/span&gt;
        &lt;span class="no"&gt;I&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="no"&gt;J&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="c1"&gt;//diagonal left up &lt;/span&gt;
       &lt;span class="k"&gt;while&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="no"&gt;I&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;=&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&amp;amp;&lt;/span&gt; &lt;span class="no"&gt;J&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;=&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;){&lt;/span&gt;
            &lt;span class="k"&gt;if&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="no"&gt;I&lt;/span&gt;&lt;span class="o"&gt;][&lt;/span&gt;&lt;span class="no"&gt;J&lt;/span&gt;&lt;span class="o"&gt;]==&lt;/span&gt;&lt;span class="sc"&gt;'Q'&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt; &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="kc"&gt;false&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
            &lt;span class="no"&gt;I&lt;/span&gt;&lt;span class="o"&gt;--;&lt;/span&gt;
            &lt;span class="no"&gt;J&lt;/span&gt;&lt;span class="o"&gt;--;&lt;/span&gt;
        &lt;span class="o"&gt;}&lt;/span&gt;
        &lt;span class="no"&gt;I&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="no"&gt;J&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="c1"&gt;//diagonal right up&lt;/span&gt;
        &lt;span class="k"&gt;while&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="no"&gt;I&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;=&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&amp;amp;&lt;/span&gt; &lt;span class="no"&gt;J&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;].&lt;/span&gt;&lt;span class="na"&gt;length&lt;/span&gt;&lt;span class="o"&gt;){&lt;/span&gt;
            &lt;span class="k"&gt;if&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="no"&gt;I&lt;/span&gt;&lt;span class="o"&gt;][&lt;/span&gt;&lt;span class="no"&gt;J&lt;/span&gt;&lt;span class="o"&gt;]==&lt;/span&gt;&lt;span class="sc"&gt;'Q'&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt; &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="kc"&gt;false&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
            &lt;span class="no"&gt;I&lt;/span&gt;&lt;span class="o"&gt;--;&lt;/span&gt;
            &lt;span class="no"&gt;J&lt;/span&gt;&lt;span class="o"&gt;++;&lt;/span&gt;
        &lt;span class="o"&gt;}&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="kc"&gt;true&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
    &lt;span class="o"&gt;}&lt;/span&gt;
&lt;span class="o"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



</description>
      <category>recursion</category>
      <category>backtracking</category>
    </item>
    <item>
      <title>Remove Nth node from the end of the LinkedList</title>
      <dc:creator>Prashant Mishra</dc:creator>
      <pubDate>Wed, 24 Jun 2026 16:18:49 +0000</pubDate>
      <link>https://dev.to/prashantrmishra/remove-nth-node-from-the-end-of-the-linkedlist-1lcn</link>
      <guid>https://dev.to/prashantrmishra/remove-nth-node-from-the-end-of-the-linkedlist-1lcn</guid>
      <description>&lt;p&gt;&lt;a href="https://leetcode.com/problems/remove-nth-node-from-end-of-list/" rel="noopener noreferrer"&gt;Remove Nth node from the end of the linkedlist&lt;/a&gt;&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight java"&gt;&lt;code&gt;&lt;span class="cm"&gt;/**
 * Definition for singly-linked list.
 * public class ListNode {
 *     int val;
 *     ListNode next;
 *     ListNode() {}
 *     ListNode(int val) { this.val = val; }
 *     ListNode(int val, ListNode next) { this.val = val; this.next = next; }
 * }
 */&lt;/span&gt;
&lt;span class="kd"&gt;class&lt;/span&gt; &lt;span class="nc"&gt;Solution&lt;/span&gt; &lt;span class="o"&gt;{&lt;/span&gt;
    &lt;span class="kd"&gt;public&lt;/span&gt; &lt;span class="nc"&gt;ListNode&lt;/span&gt; &lt;span class="nf"&gt;removeNthFromEnd&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="nc"&gt;ListNode&lt;/span&gt; &lt;span class="n"&gt;head&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt; &lt;span class="o"&gt;{&lt;/span&gt;
        &lt;span class="nc"&gt;ListNode&lt;/span&gt; &lt;span class="n"&gt;first&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;head&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="nc"&gt;ListNode&lt;/span&gt; &lt;span class="n"&gt;sec&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;head&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="k"&gt;while&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;--&amp;gt;&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;){&lt;/span&gt;
            &lt;span class="n"&gt;first&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;first&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;next&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="o"&gt;}&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;first&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt;&lt;span class="kc"&gt;null&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt; &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;head&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;next&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="nc"&gt;ListNode&lt;/span&gt; &lt;span class="n"&gt;temp&lt;/span&gt;  &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;sec&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="k"&gt;while&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;first&lt;/span&gt;&lt;span class="o"&gt;!=&lt;/span&gt;&lt;span class="kc"&gt;null&lt;/span&gt;&lt;span class="o"&gt;){&lt;/span&gt;
            &lt;span class="n"&gt;first&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;first&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;next&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
            &lt;span class="n"&gt;temp&lt;/span&gt;  &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;sec&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
            &lt;span class="n"&gt;sec&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;sec&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;next&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="o"&gt;}&lt;/span&gt;
        &lt;span class="n"&gt;temp&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;next&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;sec&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="kc"&gt;null&lt;/span&gt; &lt;span class="o"&gt;?&lt;/span&gt; &lt;span class="kc"&gt;null&lt;/span&gt; &lt;span class="o"&gt;:&lt;/span&gt; &lt;span class="n"&gt;sec&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;next&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;head&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
    &lt;span class="o"&gt;}&lt;/span&gt;
&lt;span class="o"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



</description>
      <category>linkedlist</category>
      <category>leetcode</category>
      <category>dsa</category>
    </item>
    <item>
      <title>Minimize max distance to gas station</title>
      <dc:creator>Prashant Mishra</dc:creator>
      <pubDate>Mon, 22 Jun 2026 16:59:06 +0000</pubDate>
      <link>https://dev.to/prashantrmishra/minimize-max-distance-to-gas-station-2gf2</link>
      <guid>https://dev.to/prashantrmishra/minimize-max-distance-to-gas-station-2gf2</guid>
      <description>&lt;p&gt;&lt;a href="https://www.geeksforgeeks.org/problems/minimize-max-distance-to-gas-station/1" rel="noopener noreferrer"&gt;Minimize max distance to gas station&lt;/a&gt;&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight java"&gt;&lt;code&gt;&lt;span class="kd"&gt;class&lt;/span&gt; &lt;span class="nc"&gt;Solution&lt;/span&gt; &lt;span class="o"&gt;{&lt;/span&gt;
    &lt;span class="kd"&gt;public&lt;/span&gt; &lt;span class="kt"&gt;double&lt;/span&gt; &lt;span class="nf"&gt;minMaxDist&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt;&lt;span class="o"&gt;[]&lt;/span&gt; &lt;span class="n"&gt;stations&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="no"&gt;K&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt; &lt;span class="o"&gt;{&lt;/span&gt;
        &lt;span class="c1"&gt;// code here&lt;/span&gt;
        &lt;span class="kt"&gt;double&lt;/span&gt; &lt;span class="n"&gt;min&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="kt"&gt;double&lt;/span&gt; &lt;span class="n"&gt;max&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="k"&gt;for&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="n"&gt;stations&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;length&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;++){&lt;/span&gt;
            &lt;span class="n"&gt;max&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nc"&gt;Math&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;max&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;max&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="n"&gt;stations&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;]-&lt;/span&gt;&lt;span class="n"&gt;stations&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;]);&lt;/span&gt;
        &lt;span class="o"&gt;}&lt;/span&gt;
        &lt;span class="kt"&gt;double&lt;/span&gt; &lt;span class="n"&gt;result&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mf"&gt;0.000000&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="k"&gt;while&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;max&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="n"&gt;min&lt;/span&gt; &lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="n"&gt;e&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;6&lt;/span&gt;&lt;span class="o"&gt;){&lt;/span&gt;
            &lt;span class="kt"&gt;double&lt;/span&gt; &lt;span class="n"&gt;mid&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;min&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="n"&gt;max&lt;/span&gt;&lt;span class="o"&gt;)/&lt;/span&gt;&lt;span class="mf"&gt;2.0&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
            &lt;span class="k"&gt;if&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;isPossible&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;mid&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt;&lt;span class="no"&gt;K&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="n"&gt;stations&lt;/span&gt;&lt;span class="o"&gt;)){&lt;/span&gt;
                &lt;span class="n"&gt;max&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;mid&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
            &lt;span class="o"&gt;}&lt;/span&gt;
            &lt;span class="k"&gt;else&lt;/span&gt; &lt;span class="n"&gt;min&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;mid&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="o"&gt;}&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;max&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
    &lt;span class="o"&gt;}&lt;/span&gt;
    &lt;span class="kd"&gt;public&lt;/span&gt; &lt;span class="kt"&gt;boolean&lt;/span&gt; &lt;span class="nf"&gt;isPossible&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;double&lt;/span&gt; &lt;span class="n"&gt;dis&lt;/span&gt;&lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="no"&gt;K&lt;/span&gt; &lt;span class="o"&gt;,&lt;/span&gt; &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;stations&lt;/span&gt;&lt;span class="o"&gt;[]){&lt;/span&gt;
        &lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;count&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
        &lt;span class="k"&gt;for&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt; &lt;span class="n"&gt;stations&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;length&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;++){&lt;/span&gt;
            &lt;span class="kt"&gt;double&lt;/span&gt; &lt;span class="n"&gt;gap&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;stations&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;]-&lt;/span&gt;&lt;span class="n"&gt;stations&lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;];&lt;/span&gt;
            &lt;span class="n"&gt;count&lt;/span&gt;&lt;span class="o"&gt;+=&lt;/span&gt;  &lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;int&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt; &lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;gap&lt;/span&gt;&lt;span class="o"&gt;/&lt;/span&gt;&lt;span class="n"&gt;dis&lt;/span&gt;&lt;span class="o"&gt;);&lt;/span&gt;
            &lt;span class="k"&gt;if&lt;/span&gt;&lt;span class="o"&gt;(&lt;/span&gt;&lt;span class="n"&gt;gap&lt;/span&gt; &lt;span class="o"&gt;%&lt;/span&gt; &lt;span class="n"&gt;dis&lt;/span&gt;&lt;span class="o"&gt;==&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;)&lt;/span&gt; &lt;span class="n"&gt;count&lt;/span&gt;&lt;span class="o"&gt;--;&lt;/span&gt; &lt;span class="c1"&gt;// very important because if gap is exactly divisible then adding (quotient) no of stations in between i and i-1 wouuld reduce the min distance lower than dis(check value) &lt;/span&gt;
        &lt;span class="o"&gt;}&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;count&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;=&lt;/span&gt;&lt;span class="no"&gt;K&lt;/span&gt;&lt;span class="o"&gt;;&lt;/span&gt;
    &lt;span class="o"&gt;}&lt;/span&gt;
&lt;span class="o"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



</description>
      <category>binary</category>
      <category>seach</category>
      <category>leetcode</category>
      <category>dsa</category>
    </item>
  </channel>
</rss>
