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<title data-rh="true">Recursion and backtracking with Robot Karel | mf</title><meta data-rh="true" name="viewport" content="width=device-width,initial-scale=1"><meta data-rh="true" name="twitter:card" content="summary_large_image"><meta data-rh="true" property="og:url" content="https://blog.mfocko.xyz/ib002/recursion/karel-1/"><meta data-rh="true" name="docusaurus_locale" content="en"><meta data-rh="true" name="docsearch:language" content="en"><meta data-rh="true" name="docusaurus_version" content="current"><meta data-rh="true" name="docusaurus_tag" content="docs-ib002-current"><meta data-rh="true" name="docsearch:version" content="current"><meta data-rh="true" name="docsearch:docusaurus_tag" content="docs-ib002-current"><meta data-rh="true" property="og:title" content="Recursion and backtracking with Robot Karel | mf"><meta data-rh="true" name="description" content="A problem with too many restrictions.
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19v-5h4v5c0 .55.45 1 1 1h3c.55 0 1-.45 1-1v-7h1.7c.46 0 .68-.57.33-.87L12.67 3.6c-.38-.34-.96-.34-1.34 0l-8.36 7.53c-.34.3-.13.87.33.87H5v7c0 .55.45 1 1 1h3c.55 0 1-.45 1-1z" fill="currentColor"></path></svg></a></li><li itemscope="" itemprop="itemListElement" itemtype="https://schema.org/ListItem" class="breadcrumbs__item"><a class="breadcrumbs__link" itemprop="item" href="/ib002/category/recursion/"><span itemprop="name">Recursion</span></a><meta itemprop="position" content="1"></li><li itemscope="" itemprop="itemListElement" itemtype="https://schema.org/ListItem" class="breadcrumbs__item breadcrumbs__item--active"><span class="breadcrumbs__link" itemprop="name">Recursion and backtracking with Robot Karel</span><meta itemprop="position" content="2"></li></ul></nav><div class="tocCollapsible_ETCw theme-doc-toc-mobile tocMobile_ITEo"><button type="button" class="clean-btn tocCollapsibleButton_TO0P">On this page</button></div><div class="theme-doc-markdown markdown"><header><h1>Recursion and backtracking with Robot Karel</h1></header><ul><li><a href="/files/ib002/recursion/karel-1.tar.gz" target="_blank" rel="noopener noreferrer">Sources</a></li></ul><h2 class="anchor anchorWithStickyNavbar_LWe7" id="introduction">Introduction<a href="#introduction" class="hash-link" aria-label="Direct link to Introduction" title="Direct link to Introduction"></a></h2><p>In this exercise we will be working with a Robot Karel and with a »very« limited
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resources. The point of this exercise is to show how powerful recursion and
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backtracking can be even without anything else at your hand.</p><h2 class="anchor anchorWithStickyNavbar_LWe7" id="your-environment-and-problem-description">Your environment and problem description<a href="#your-environment-and-problem-description" class="hash-link" aria-label="Direct link to Your environment and problem description" title="Direct link to Your environment and problem description"></a></h2><h3 class="anchor anchorWithStickyNavbar_LWe7" id="environment">Environment<a href="#environment" class="hash-link" aria-label="Direct link to Environment" title="Direct link to Environment"></a></h3><p>You are given a robot that is present in a maze and is looking for an exit. Maze
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consists of different walls and exit is marked with a single so-called “beeper”.</p><p>Walking into a wall results in a permanent damage of the robot.</p><h3 class="anchor anchorWithStickyNavbar_LWe7" id="interface">Interface<a href="#interface" class="hash-link" aria-label="Direct link to Interface" title="Direct link to Interface"></a></h3><p>You can control the robot using the following interface:</p><ul><li>actions — you can use them to change the current state of the robot and its
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surroundings<ul><li><code>robot.step()</code> — moves robot one step further</li><li><code>robot.turn_left()</code> — turns robot 90-degrees counter-clockwise<ul><li>notice that you are not given <code>turn_right</code> or <code>turn_around</code>, but feel free
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to implement them yourself</li></ul></li><li><code>robot.pick_beeper()</code> and opposite operation <code>robot.put_beeper()</code> — that
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allows you to either pick or put “beeper” from or onto the current position</li></ul></li><li>queries — you can use them to check the current state of the robot and its
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surroundings<ul><li><code>robot.beepers_present()</code> — to check if there are any beepers at the robot's
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current location</li><li><code>robot.left_is_clear()</code> — to check if you can step to the left<ul><li>analogically for <code>front</code> and <code>right</code></li></ul></li></ul></li></ul><div class="theme-admonition theme-admonition-caution alert alert--warning admonition_LlT9"><div class="admonitionHeading_tbUL"><span class="admonitionIcon_kALy"><svg viewBox="0 0 16 16"><path fill-rule="evenodd" d="M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"></path></svg></span>caution</div><div class="admonitionContent_S0QG"><p>Helper functions / procedures are allowed. Return values are allowed.</p><p><strong>Variables are prohibited!</strong></p></div></div><h3 class="anchor anchorWithStickyNavbar_LWe7" id="problem">Problem<a href="#problem" class="hash-link" aria-label="Direct link to Problem" title="Direct link to Problem"></a></h3><p>Your task is to decide whether there is an exit from the maze or not. You can see
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an example of a maze here:</p><p><img loading="lazy" alt="Image of the maze" src="/assets/images/maze-a374d908bc9445061e15faeddc71641e.png" width="770" height="839" class="img_ev3q"></p><h2 class="anchor anchorWithStickyNavbar_LWe7" id="simple-problem-to-get-familiar-with-the-robot">Simple problem to get familiar with the robot<a href="#simple-problem-to-get-familiar-with-the-robot" class="hash-link" aria-label="Direct link to Simple problem to get familiar with the robot" title="Direct link to Simple problem to get familiar with the robot"></a></h2><p>If you feel completely lost after the previous description, let me start you off
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with a simpler problem.</p><p>You are standing in front of the stairs, your task is to walk up the stairs.</p><p>You can see an example of such map here:</p><p><img loading="lazy" alt="Image of the stairs" src="/assets/images/stairs-5ee5d03905645aeb13eeaa7774451a64.png" width="1058" height="1161" class="img_ev3q"></p><h2 class="anchor anchorWithStickyNavbar_LWe7" id="brainstorm-the-idea">Brainstorm the idea<a href="#brainstorm-the-idea" class="hash-link" aria-label="Direct link to Brainstorm the idea" title="Direct link to Brainstorm the idea"></a></h2><p>As a first step write down any ideas and things that you have noticed or came to
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your mind. Ideally:</p><ul><li><p>Write down a nested list of the problems, e.g.</p><div class="theme-admonition theme-admonition-info alert alert--info admonition_LlT9"><div class="admonitionHeading_tbUL"><span class="admonitionIcon_kALy"><svg viewBox="0 0 14 16"><path fill-rule="evenodd" d="M7 2.3c3.14 0 5.7 2.56 5.7 5.7s-2.56 5.7-5.7 5.7A5.71 5.71 0 0 1 1.3 8c0-3.14 2.56-5.7 5.7-5.7zM7 1C3.14 1 0 4.14 0 8s3.14 7 7 7 7-3.14 7-7-3.14-7-7-7zm1 3H6v5h2V4zm0 6H6v2h2v-2z"></path></svg></span>Example </div><div class="admonitionContent_S0QG"><p>Problem: I want to find out whether the display on smartphone should rotate.</p><ul><li>Check if display has been rotated<ul><li>Read data from some sensor<ul><li>From what sensor</li></ul></li><li>In what format are the data I have read?</li><li>How do I communicate with the sensor?</li><li>What is the meaning of the data that I got?</li><li>How can I process it?</li></ul></li></ul></div></div></li><li><p>Write down list of problems that can happen, e.g.</p><div class="theme-admonition theme-admonition-info alert alert--info admonition_LlT9"><div class="admonitionHeading_tbUL"><span class="admonitionIcon_kALy"><svg viewBox="0 0 14 16"><path fill-rule="evenodd" d="M7 2.3c3.14 0 5.7 2.56 5.7 5.7s-2.56 5.7-5.7 5.7A5.71 5.71 0 0 1 1.3 8c0-3.14 2.56-5.7 5.7-5.7zM7 1C3.14 1 0 4.14 0 8s3.14 7 7 7 7-3.14 7-7-3.14-7-7-7zm1 3H6v5h2V4zm0 6H6v2h2v-2z"></path></svg></span>Example continued</div><div class="admonitionContent_S0QG"><p>Following the same problem.</p><ul><li>What if the sensor doesn't work?</li><li>What if the data doesn't conform to the specification?</li><li>What if my formulas are wrong?</li></ul></div></div></li><li><p>Write down <strong>anything</strong> you consider important to solving the problem, e.g.</p><div class="theme-admonition theme-admonition-info alert alert--info admonition_LlT9"><div class="admonitionHeading_tbUL"><span class="admonitionIcon_kALy"><svg viewBox="0 0 14 16"><path fill-rule="evenodd" d="M7 2.3c3.14 0 5.7 2.56 5.7 5.7s-2.56 5.7-5.7 5.7A5.71 5.71 0 0 1 1.3 8c0-3.14 2.56-5.7 5.7-5.7zM7 1C3.14 1 0 4.14 0 8s3.14 7 7 7 7-3.14 7-7-3.14-7-7-7zm1 3H6v5h2V4zm0 6H6v2h2v-2z"></path></svg></span>Example continued once again</div><div class="admonitionContent_S0QG"><ul><li>I could probably use gyroscope.</li><li>I should probably look up the datasheet for that module.</li><li>I could write some tests to verify that my computations are correct.</li></ul></div></div></li></ul><h2 class="anchor anchorWithStickyNavbar_LWe7" id="rough-pseudocode">»Rough« pseudocode<a href="#rough-pseudocode" class="hash-link" aria-label="Direct link to »Rough« pseudocode" title="Direct link to »Rough« pseudocode"></a></h2><p>As a next step write a <strong>mock up</strong> of a pseudocode solving the problem, you are
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allowed to use comments as placeholders for bigger chunks of code.</p><p>Those comments are also a very good hints for decomposition and short, but
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descriptive, commnets (if they are short enough and you decide not to factor them
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out to separate functions).</p><div class="theme-admonition theme-admonition-tip alert alert--success admonition_LlT9"><div class="admonitionHeading_tbUL"><span class="admonitionIcon_kALy"><svg viewBox="0 0 12 16"><path fill-rule="evenodd" d="M6.5 0C3.48 0 1 2.19 1 5c0 .92.55 2.25 1 3 1.34 2.25 1.78 2.78 2 4v1h5v-1c.22-1.22.66-1.75 2-4 .45-.75 1-2.08 1-3 0-2.81-2.48-5-5.5-5zm3.64 7.48c-.25.44-.47.8-.67 1.11-.86 1.41-1.25 2.06-1.45 3.23-.02.05-.02.11-.02.17H5c0-.06 0-.13-.02-.17-.2-1.17-.59-1.83-1.45-3.23-.2-.31-.42-.67-.67-1.11C2.44 6.78 2 5.65 2 5c0-2.2 2.02-4 4.5-4 1.22 0 2.36.42 3.22 1.19C10.55 2.94 11 3.94 11 5c0 .66-.44 1.78-.86 2.48zM4 14h5c-.23 1.14-1.3 2-2.5 2s-2.27-.86-2.5-2z"></path></svg></span>tip</div><div class="admonitionContent_S0QG"><p>The smaller the function is, the easier it is to test it and argue about its
|
||
correctness.</p></div></div><h2 class="anchor anchorWithStickyNavbar_LWe7" id="proper-pseudocode">»Proper« pseudocode<a href="#proper-pseudocode" class="hash-link" aria-label="Direct link to »Proper« pseudocode" title="Direct link to »Proper« pseudocode"></a></h2><p>If you are satisfied with the <em>»rough« pseudocode</em>, it's time to convert it into
|
||
a proper one. Get rid of the uncertain pieces of functionality and replace them
|
||
with proper pseudocode, i.e. list of the things that should happen in its place.</p><h2 class="anchor anchorWithStickyNavbar_LWe7" id="library">Library<a href="#library" class="hash-link" aria-label="Direct link to Library" title="Direct link to Library"></a></h2><p>If you got here, and you <strong>actually</strong> wrote down the pseudocode, you can try your
|
||
solution after downloading the sources linked at the beginning. If you download
|
||
the ZIP-file, you can there:</p><ul><li><p><code>generate_mazes.py</code> - that was used to generate the same maze with beepers in
|
||
different locations</p></li><li><p><code>karel_tk.py</code> - library which can run Karel given the his world</p><ul><li>documentation can be found <a href="https://www.fi.muni.cz/~xfocko/ib111/10/docs/" target="_blank" rel="noopener noreferrer">here</a></li><li>also requires Tk Python library to be installed (it should be included in
|
||
majority of Python installations)</li></ul></li><li><p><code>*.kw</code> - which represent multiple worlds for Karel I have prepared</p></li><li><p><code>skeleton.py</code> - skeleton for your solution, needs to be put in the same directory
|
||
as <code>karel_tk.py</code> and takes path to the world as a first argument, example usage:</p><div class="codeBlockContainer_Ckt0 theme-code-block" style="--prism-color:#000000;--prism-background-color:#ffffff"><div class="codeBlockContent_biex"><pre tabindex="0" class="prism-code language-text codeBlock_bY9V thin-scrollbar"><code class="codeBlockLines_e6Vv"><span class="token-line" style="color:#000000"><span class="token plain">$ python3 skeleton.py stairs.kw</span><br></span></code></pre><div class="buttonGroup__atx"><button type="button" aria-label="Copy code to clipboard" title="Copy" class="clean-btn"><span class="copyButtonIcons_eSgA" aria-hidden="true"><svg viewBox="0 0 24 24" class="copyButtonIcon_y97N"><path fill="currentColor" d="M19,21H8V7H19M19,5H8A2,2 0 0,0 6,7V21A2,2 0 0,0 8,23H19A2,2 0 0,0 21,21V7A2,2 0 0,0 19,5M16,1H4A2,2 0 0,0 2,3V17H4V3H16V1Z"></path></svg><svg viewBox="0 0 24 24" class="copyButtonSuccessIcon_LjdS"><path fill="currentColor" d="M21,7L9,19L3.5,13.5L4.91,12.09L9,16.17L19.59,5.59L21,7Z"></path></svg></span></button></div></div></div><ul><li>of course, this file can be renamed ;)</li></ul></li></ul><h2 class="anchor anchorWithStickyNavbar_LWe7" id="solution">Solution<a href="#solution" class="hash-link" aria-label="Direct link to Solution" title="Direct link to Solution"></a></h2><p>Solution to this problem will be released as a second part, so that you can try
|
||
it out by yourself without any influence of “example solution”.</p><p>If you want to get any feedback, feel free to mail me your solution (including
|
||
all the steps that lead to your final solution, if you wish to get feedback on
|
||
those too).</p></div><footer class="theme-doc-footer docusaurus-mt-lg"><div class="theme-doc-footer-tags-row row margin-bottom--sm"><div class="col"><b>Tags:</b><ul class="tags_jXut padding--none margin-left--sm"><li class="tag_QGVx"><a class="tag_zVej tagRegular_sFm0" href="/ib002/tags/python/">python</a></li><li class="tag_QGVx"><a class="tag_zVej tagRegular_sFm0" href="/ib002/tags/karel/">karel</a></li><li class="tag_QGVx"><a class="tag_zVej tagRegular_sFm0" href="/ib002/tags/recursion/">recursion</a></li><li class="tag_QGVx"><a class="tag_zVej tagRegular_sFm0" href="/ib002/tags/backtracking/">backtracking</a></li></ul></div></div><div class="theme-doc-footer-edit-meta-row row"><div class="col"><a href="https://github.com/mfocko/blog/tree/main/ib002/04-recursion/2022-11-29-karel-1.md" target="_blank" rel="noreferrer noopener" class="theme-edit-this-page"><svg fill="currentColor" height="20" width="20" viewBox="0 0 40 40" class="iconEdit_Z9Sw" aria-hidden="true"><g><path d="m34.5 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class="table-of-contents table-of-contents__left-border"><li><a href="#introduction" class="table-of-contents__link toc-highlight">Introduction</a></li><li><a href="#your-environment-and-problem-description" class="table-of-contents__link toc-highlight">Your environment and problem description</a><ul><li><a href="#environment" class="table-of-contents__link toc-highlight">Environment</a></li><li><a href="#interface" class="table-of-contents__link toc-highlight">Interface</a></li><li><a href="#problem" class="table-of-contents__link toc-highlight">Problem</a></li></ul></li><li><a href="#simple-problem-to-get-familiar-with-the-robot" class="table-of-contents__link toc-highlight">Simple problem to get familiar with the robot</a></li><li><a href="#brainstorm-the-idea" class="table-of-contents__link toc-highlight">Brainstorm the idea</a></li><li><a href="#rough-pseudocode" class="table-of-contents__link toc-highlight">»Rough« pseudocode</a></li><li><a href="#proper-pseudocode" 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