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<p >Search algorithms.</p>
<p >for assert for IO operations</p>
<p >Search algorithms</p>
<p >for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/sort.html">std::sort</a> function for std::assert for IO operations</p>
<p >for assert for io operations, and <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair.html">std::pair</a></p>
<p >Algorithms for searching</p>
<p >for assert for IO operations</p>

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<p><a href="https://en.wikipedia.org/wiki/Interpolation_search" target="_blank">Interpolation search</a> algorithm
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;iostream&gt;</code><br />
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Functions</h2></td></tr>
<tr class="memitem:a9805865b5c5ca6b0fdf95fd86132625a"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/dd7/interpolation__search_8cpp.html#a9805865b5c5ca6b0fdf95fd86132625a">interpolation_search</a> (int arr[], int value, int len)</td></tr>
<tr class="separator:a9805865b5c5ca6b0fdf95fd86132625a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/dd7/interpolation__search_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
<tr class="separator:ae66f6b31b5ad750f1fe042a706a4e3d4"><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 ><a href="https://en.wikipedia.org/wiki/Interpolation_search" target="_blank">Interpolation search</a> algorithm </p>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="a9805865b5c5ca6b0fdf95fd86132625a" name="a9805865b5c5ca6b0fdf95fd86132625a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a9805865b5c5ca6b0fdf95fd86132625a">&#9670;&nbsp;</a></span>interpolation_search()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int interpolation_search </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>arr</em>[], </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>value</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>len</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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<p >function to search the value in an array using interpolation search </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">arr</td><td>array to search in </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">value</td><td>value to search for </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">len</td><td>length of array </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>index where the value is found </dd>
<dd>
0 if not found </dd></dl>
<div class="fragment"><div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span> {</div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span> <span class="keywordtype">int</span> low = 0, high, mid;</div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span> high = len - 1;</div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span> </div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span> <span class="keywordflow">while</span> (arr[low] &lt;= value &amp;&amp; arr[high] &gt;= value) {</div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span> mid = (low +</div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span> ((value - arr[low]) * (high - low)) / (arr[high] - arr[low]));</div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span> <span class="keywordflow">if</span> (arr[mid] &gt; value)</div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span> high = mid - 1;</div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> <span class="keywordflow">else</span> <span class="keywordflow">if</span> (arr[mid] &lt; value)</div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span> low = mid + 1;</div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> <span class="keywordflow">return</span> mid;</div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> }</div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> </div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> <span class="keywordflow">if</span> (arr[low] == value)</div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> <span class="keywordflow">return</span> low;</div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> </div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> <span class="keywordflow">return</span> -1;</div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span>}</div>
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</div>
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<a id="ae66f6b31b5ad750f1fe042a706a4e3d4" name="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&nbsp;</a></span>main()</h2>
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<td>(</td>
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<td></td>
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<p >main function </p>
<div class="fragment"><div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> {</div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> <span class="keywordtype">int</span> n, value, re;</div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> </div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</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;Enter the size of array(less than 100) : &quot;</span>;</div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; n;</div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> </div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> <span class="keywordtype">int</span> *array = <span class="keyword">new</span> <span class="keywordtype">int</span>[n];</div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> </div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</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;array in ascending (increasing) order : &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"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> </div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; i++) std::cin &gt;&gt; array[i];</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> </div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</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;Enter the value you want to search : &quot;</span>;</div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; value;</div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> </div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> re = <a class="code hl_function" href="../../d9/dd7/interpolation__search_8cpp.html#a9805865b5c5ca6b0fdf95fd86132625a">interpolation_search</a>(array, value, n);</div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> </div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <span class="keywordflow">if</span> (re == -1)</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</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;Entered value is not in the array&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"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</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;The value is at the position &quot;</span> &lt;&lt; re &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"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> </div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <span class="keyword">delete</span>[] array;</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span>}</div>
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<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="ainterpolation__search_8cpp_html_a9805865b5c5ca6b0fdf95fd86132625a"><div class="ttname"><a href="../../d9/dd7/interpolation__search_8cpp.html#a9805865b5c5ca6b0fdf95fd86132625a">interpolation_search</a></div><div class="ttdeci">int interpolation_search(int arr[], int value, int len)</div><div class="ttdef"><b>Definition:</b> interpolation_search.cpp:15</div></div>
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