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<p>Implementation of <a href="https://labuladong.gitbook.io/algo-en/i.-dynamic-programming/houserobber" target="_blank">House Robber Problem</a> algorithm.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;climits&gt;</code><br />
<code>#include &lt;cstdint&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
<code>#include &lt;vector&gt;</code><br />
</div><div class="textblock"><div class="dynheader">
Include dependency graph for house_robber.cpp:</div>
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Namespaces</h2></td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d24/namespacedynamic__programming.html">dynamic_programming</a></td></tr>
<tr class="memdesc:dd/d24/namespacedynamic__programming"><td class="mdescLeft">&#160;</td><td class="mdescRight">Dynamic Programming algorithms. <br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d2/de1/namespacehouse__robber.html">house_robber</a></td></tr>
<tr class="memdesc:d2/de1/namespacehouse__robber"><td class="mdescLeft">&#160;</td><td class="mdescRight">Functions for the <a href="https://labuladong.gitbook.io/algo-en/i.-dynamic-programming/houserobber" target="_blank">House Robber</a> algorithm. <br /></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:a1e497c3e3f169afe5baaae6a5d40cbc8" id="r_a1e497c3e3f169afe5baaae6a5d40cbc8"><td class="memItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a1e497c3e3f169afe5baaae6a5d40cbc8">dynamic_programming::house_robber::houseRobber</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; uint32_t &gt; &amp;money, const uint32_t &amp;n)</td></tr>
<tr class="memdesc:a1e497c3e3f169afe5baaae6a5d40cbc8"><td class="mdescLeft">&#160;</td><td class="mdescRight">The main function that implements the House Robber algorithm using dynamic programming. <br /></td></tr>
<tr class="separator:a1e497c3e3f169afe5baaae6a5d40cbc8"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa8dca7b867074164d5f45b0f3851269d" id="r_aa8dca7b867074164d5f45b0f3851269d"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Self-test implementations. <br /></td></tr>
<tr class="separator:aa8dca7b867074164d5f45b0f3851269d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4" id="r_ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main function. <br /></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Implementation of <a href="https://labuladong.gitbook.io/algo-en/i.-dynamic-programming/houserobber" target="_blank">House Robber Problem</a> algorithm. </p>
<p><a class="el" href="../../dd/d4f/class_solution.html">Solution</a> of House robber problem uses a dynamic programming concept that works in \(O(n)\) time and works in \(O(1)\) space. </p><dl class="section author"><dt>Author</dt><dd><a href="https://github.com/Swastyy" target="_blank">Swastika Gupta</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="a1e497c3e3f169afe5baaae6a5d40cbc8" name="a1e497c3e3f169afe5baaae6a5d40cbc8"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a1e497c3e3f169afe5baaae6a5d40cbc8">&#9670;&#160;</a></span>houseRobber()</h2>
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<td class="memname"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint32_t</a> dynamic_programming::house_robber::houseRobber </td>
<td>(</td>
<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; uint32_t &gt; &amp;</td> <td class="paramname"><span class="paramname"><em>money</em></span>, </td>
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<td class="paramtype">const uint32_t &amp;</td> <td class="paramname"><span class="paramname"><em>n</em></span>&#160;)</td>
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<p>The main function that implements the House Robber algorithm using dynamic programming. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">money</td><td>array containing money in the ith house </td></tr>
<tr><td class="paramname">n</td><td>size of array </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>maximum amount of money that can be robbed </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 37</span> {</div>
<div class="line"><span class="lineno"> 38</span> <span class="keywordflow">if</span> (n == 0) { <span class="comment">// if there is no house</span></div>
<div class="line"><span class="lineno"> 39</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 40</span> }</div>
<div class="line"><span class="lineno"> 41</span> <span class="keywordflow">if</span> (n == 1) { <span class="comment">// if there is only one house</span></div>
<div class="line"><span class="lineno"> 42</span> <span class="keywordflow">return</span> money[0];</div>
<div class="line"><span class="lineno"> 43</span> }</div>
<div class="line"><span class="lineno"> 44</span> <span class="keywordflow">if</span> (n == 2) { <span class="comment">// if there are two houses, one with the maximum amount of</span></div>
<div class="line"><span class="lineno"> 45</span> <span class="comment">// money will be robbed</span></div>
<div class="line"><span class="lineno"> 46</span> <span class="keywordflow">return</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/max.html">std::max</a>(money[0], money[1]);</div>
<div class="line"><span class="lineno"> 47</span> }</div>
<div class="line"><span class="lineno"> 48</span> uint32_t max_value = 0; <span class="comment">// contains maximum stolen value at the end</span></div>
<div class="line"><span class="lineno"> 49</span> uint32_t value1 = money[0];</div>
<div class="line"><span class="lineno"> 50</span> uint32_t value2 = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/max.html">std::max</a>(money[0], money[1]);</div>
<div class="line"><span class="lineno"> 51</span> <span class="keywordflow">for</span> (uint32_t i = 2; i &lt; n; i++) {</div>
<div class="line"><span class="lineno"> 52</span> max_value = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/max.html">std::max</a>(money[i] + value1, value2);</div>
<div class="line"><span class="lineno"> 53</span> value1 = value2;</div>
<div class="line"><span class="lineno"> 54</span> value2 = max_value;</div>
<div class="line"><span class="lineno"> 55</span> }</div>
<div class="line"><span class="lineno"> 56</span> </div>
<div class="line"><span class="lineno"> 57</span> <span class="keywordflow">return</span> max_value;</div>
<div class="line"><span class="lineno"> 58</span>}</div>
<div class="ttc" id="amax_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/max.html">std::max</a></div><div class="ttdeci">T max(T... args)</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&#160;</a></span>main()</h2>
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<td class="memname">int main </td>
<td>(</td>
<td class="paramtype">void</td> <td class="paramname"><span class="paramname"><em></em></span></td><td>)</td>
<td></td>
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<p>Main function. </p>
<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 111</span> {</div>
<div class="line"><span class="lineno"> 112</span> <a class="code hl_function" href="#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><span class="lineno"> 113</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 114</span>}</div>
<div class="ttc" id="ahouse__robber_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Self-test implementations.</div><div class="ttdef"><b>Definition</b> house_robber.cpp:66</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#aa8dca7b867074164d5f45b0f3851269d">&#9670;&#160;</a></span>test()</h2>
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<td class="memname">static void test </td>
<td>(</td>
<td class="paramname"><span class="paramname"><em></em></span></td><td>)</td>
<td></td>
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<p>Self-test implementations. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 66</span> {</div>
<div class="line"><span class="lineno"> 67</span> <span class="comment">// Test 1</span></div>
<div class="line"><span class="lineno"> 68</span> <span class="comment">// [1, 2, 3, 1] return 4</span></div>
<div class="line"><span class="lineno"> 69</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;uint32_t&gt;</a> array1 = {1, 2, 3, 1};</div>
<div class="line"><span class="lineno"> 70</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Test 1... &quot;</span>;</div>
<div class="line"><span class="lineno"> 71</span> assert(</div>
<div class="line"><span class="lineno"> 72</span> dynamic_programming::house_robber::houseRobber(array1, array1.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>()) ==</div>
<div class="line"><span class="lineno"> 73</span> 4); <span class="comment">// here the two non-adjacent houses that are robbed are first and</span></div>
<div class="line"><span class="lineno"> 74</span> <span class="comment">// third with total sum money as 4</span></div>
<div class="line"><span class="lineno"> 75</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;passed&quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 76</span> </div>
<div class="line"><span class="lineno"> 77</span> <span class="comment">// Test 2</span></div>
<div class="line"><span class="lineno"> 78</span> <span class="comment">// [6, 7, 1, 3, 8, 2, 4] return 19</span></div>
<div class="line"><span class="lineno"> 79</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;uint32_t&gt;</a> array2 = {6, 7, 1, 3, 8, 2, 4};</div>
<div class="line"><span class="lineno"> 80</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Test 2... &quot;</span>;</div>
<div class="line"><span class="lineno"> 81</span> assert(</div>
<div class="line"><span class="lineno"> 82</span> dynamic_programming::house_robber::houseRobber(array2, array2.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>()) ==</div>
<div class="line"><span class="lineno"> 83</span> 19); <span class="comment">// here the four non-adjacent houses that are robbed are first,</span></div>
<div class="line"><span class="lineno"> 84</span> <span class="comment">// third, fifth and seventh with total sum money as 19</span></div>
<div class="line"><span class="lineno"> 85</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;passed&quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 86</span> </div>
<div class="line"><span class="lineno"> 87</span> <span class="comment">// Test 3</span></div>
<div class="line"><span class="lineno"> 88</span> <span class="comment">// [] return 0</span></div>
<div class="line"><span class="lineno"> 89</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;uint32_t&gt;</a> array3 = {};</div>
<div class="line"><span class="lineno"> 90</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Test 3... &quot;</span>;</div>
<div class="line"><span class="lineno"> 91</span> assert(</div>
<div class="line"><span class="lineno"> 92</span> dynamic_programming::house_robber::houseRobber(array3, array3.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>()) ==</div>
<div class="line"><span class="lineno"> 93</span> 0); <span class="comment">// since there is no house no money can be robbed</span></div>
<div class="line"><span class="lineno"> 94</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;passed&quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 95</span> </div>
<div class="line"><span class="lineno"> 96</span> <span class="comment">// Test 4</span></div>
<div class="line"><span class="lineno"> 97</span> <span class="comment">// [2,7,9,3,1] return 12</span></div>
<div class="line"><span class="lineno"> 98</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;uint32_t&gt;</a> array4 = {2, 7, 9, 3, 1};</div>
<div class="line"><span class="lineno"> 99</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Test 4... &quot;</span>;</div>
<div class="line"><span class="lineno"> 100</span> assert(</div>
<div class="line"><span class="lineno"> 101</span> dynamic_programming::house_robber::houseRobber(array4, array4.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>()) ==</div>
<div class="line"><span class="lineno"> 102</span> 12); <span class="comment">// here the three non-adjacent houses that are robbed are first,</span></div>
<div class="line"><span class="lineno"> 103</span> <span class="comment">// third and fifth with total sum money as 12</span></div>
<div class="line"><span class="lineno"> 104</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;passed&quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 105</span>}</div>
<div class="ttc" id="abasic_ostream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></div></div>
<div class="ttc" id="aendl_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a></div><div class="ttdeci">T endl(T... args)</div></div>
<div class="ttc" id="asize_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/size.html">std::vector::size</a></div><div class="ttdeci">T size(T... args)</div></div>
<div class="ttc" id="avector_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a></div></div>
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