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<div class="headertitle"><div class="title">jump_search.cpp File Reference</div></div>
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<p>C++ program to implement <a href="https://en.wikipedia.org/wiki/Jump_search" target="_blank">Jump Search</a>
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;algorithm&gt;</code><br />
<code>#include &lt;cmath&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
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Include dependency graph for jump_search.cpp:</div>
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<p><a href="../../d2/d22/jump__search_8cpp_source.html">Go to the source code of this file.</a></p>
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Functions</h2></td></tr>
<tr class="memitem:ab49fd8f401bfc71f63b74711390cccf0" id="r_ab49fd8f401bfc71f63b74711390cccf0"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#ab49fd8f401bfc71f63b74711390cccf0">jumpSearch</a> (int arr[], int x, int n)</td></tr>
<tr class="separator:ab49fd8f401bfc71f63b74711390cccf0"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>C++ program to implement <a href="https://en.wikipedia.org/wiki/Jump_search" target="_blank">Jump Search</a> </p>
<p class="definition">Definition in file <a class="el" href="../../d2/d22/jump__search_8cpp_source.html">jump_search.cpp</a>.</p>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="ab49fd8f401bfc71f63b74711390cccf0" name="ab49fd8f401bfc71f63b74711390cccf0"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ab49fd8f401bfc71f63b74711390cccf0">&#9670;&#160;</a></span>jumpSearch()</h2>
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<td class="memname">int jumpSearch </td>
<td>(</td>
<td class="paramtype">int</td> <td class="paramname"><span class="paramname"><em>arr</em></span>[], </td>
</tr>
<tr>
<td class="paramkey"></td>
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<td class="paramtype">int</td> <td class="paramname"><span class="paramname"><em>x</em></span>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int</td> <td class="paramname"><span class="paramname"><em>n</em></span>&#160;)</td>
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<p>jump search implementation </p>
<p class="definition">Definition at line <a class="el" href="../../d2/d22/jump__search_8cpp_source.html#l00012">12</a> of file <a class="el" href="../../d2/d22/jump__search_8cpp_source.html">jump_search.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 12</span> {</div>
<div class="line"><span class="lineno"> 13</span> <span class="comment">// Finding block size to be jumped</span></div>
<div class="line"><span class="lineno"> 14</span> <span class="keywordtype">int</span> step = std::sqrt(n);</div>
<div class="line"><span class="lineno"> 15</span> </div>
<div class="line"><span class="lineno"> 16</span> <span class="comment">// Finding the block where element is</span></div>
<div class="line"><span class="lineno"> 17</span> <span class="comment">// present (if it is present)</span></div>
<div class="line"><span class="lineno"> 18</span> <span class="keywordtype">int</span> prev = 0;</div>
<div class="line"><span class="lineno"> 19</span> <span class="keywordflow">while</span> (arr[std::min(step, n) - 1] &lt; x) {</div>
<div class="line"><span class="lineno"> 20</span> prev = step;</div>
<div class="line"><span class="lineno"> 21</span> step += std::sqrt(n);</div>
<div class="line"><span class="lineno"> 22</span> <span class="keywordflow">if</span> (prev &gt;= n)</div>
<div class="line"><span class="lineno"> 23</span> <span class="keywordflow">return</span> -1;</div>
<div class="line"><span class="lineno"> 24</span> }</div>
<div class="line"><span class="lineno"> 25</span> </div>
<div class="line"><span class="lineno"> 26</span> <span class="comment">// Doing a linear search for x in block</span></div>
<div class="line"><span class="lineno"> 27</span> <span class="comment">// beginning with prev.</span></div>
<div class="line"><span class="lineno"> 28</span> <span class="keywordflow">while</span> (arr[prev] &lt; x) {</div>
<div class="line"><span class="lineno"> 29</span> prev++;</div>
<div class="line"><span class="lineno"> 30</span> </div>
<div class="line"><span class="lineno"> 31</span> <span class="comment">// If we reached next block or end of</span></div>
<div class="line"><span class="lineno"> 32</span> <span class="comment">// array, element is not present.</span></div>
<div class="line"><span class="lineno"> 33</span> <span class="keywordflow">if</span> (prev == std::min(step, n))</div>
<div class="line"><span class="lineno"> 34</span> <span class="keywordflow">return</span> -1;</div>
<div class="line"><span class="lineno"> 35</span> }</div>
<div class="line"><span class="lineno"> 36</span> <span class="comment">// If element is found</span></div>
<div class="line"><span class="lineno"> 37</span> <span class="keywordflow">if</span> (arr[prev] == x)</div>
<div class="line"><span class="lineno"> 38</span> <span class="keywordflow">return</span> prev;</div>
<div class="line"><span class="lineno"> 39</span> </div>
<div class="line"><span class="lineno"> 40</span> <span class="keywordflow">return</span> -1;</div>
<div class="line"><span class="lineno"> 41</span>}</div>
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<a id="ae66f6b31b5ad750f1fe042a706a4e3d4" name="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
<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>
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<td></td>
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<p class="definition">Definition at line <a class="el" href="../../d2/d22/jump__search_8cpp_source.html#l00044">44</a> of file <a class="el" href="../../d2/d22/jump__search_8cpp_source.html">jump_search.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 44</span> {</div>
<div class="line"><span class="lineno"> 45</span> <span class="keywordtype">int</span> arr[] = {0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610};</div>
<div class="line"><span class="lineno"> 46</span> <span class="keywordtype">int</span> x = 55;</div>
<div class="line"><span class="lineno"> 47</span> <span class="keywordtype">int</span> n = <span class="keyword">sizeof</span>(arr) / <span class="keyword">sizeof</span>(arr[0]);</div>
<div class="line"><span class="lineno"> 48</span> </div>
<div class="line"><span class="lineno"> 49</span> <span class="comment">// Find the index of &#39;x&#39; using Jump Search</span></div>
<div class="line"><span class="lineno"> 50</span> <span class="keywordtype">int</span> index = <a class="code hl_function" href="#ab49fd8f401bfc71f63b74711390cccf0">jumpSearch</a>(arr, x, n);</div>
<div class="line"><span class="lineno"> 51</span> </div>
<div class="line"><span class="lineno"> 52</span> <span class="comment">// Print the index where &#39;x&#39; is located</span></div>
<div class="line"><span class="lineno"> 53</span> std::cout &lt;&lt; <span class="stringliteral">&quot;\nNumber &quot;</span> &lt;&lt; x &lt;&lt; <span class="stringliteral">&quot; is at index &quot;</span> &lt;&lt; index;</div>
<div class="line"><span class="lineno"> 54</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 55</span>}</div>
<div class="ttc" id="ajump__search_8cpp_html_ab49fd8f401bfc71f63b74711390cccf0"><div class="ttname"><a href="#ab49fd8f401bfc71f63b74711390cccf0">jumpSearch</a></div><div class="ttdeci">int jumpSearch(int arr[], int x, int n)</div><div class="ttdef"><b>Definition</b> <a href="../../d2/d22/jump__search_8cpp_source.html#l00012">jump_search.cpp:12</a></div></div>
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