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<title>TheAlgorithms/C++: strings/z_function.cpp File Reference</title>
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<p>The <a href="https://cp-algorithms.com/string/z-function.html" target="_blank">Z function</a> for finding occurences of a pattern within a piece of text with time and space complexity O(n + m)
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<p>The <a href="https://cp-algorithms.com/string/z-function.html" target="_blank">Z function</a> for finding occurences of a pattern within a piece of text with time and space complexity O(n + m).
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<a href="#details">More...</a></p>
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<div class="textblock"><code>#include <cstdint></code><br />
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<code>#include <iostream></code><br />
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@@ -134,17 +155,17 @@ Include dependency graph for z_function.cpp:</div>
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<table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 id="header-func-members" class="groupheader"><a id="func-members" name="func-members"></a>
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Functions</h2></td></tr>
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<tr class="memitem:ac044c4794349a8cff6256b99950d5773" id="r_ac044c4794349a8cff6256b99950d5773"><td class="memItemLeft" align="right" valign="top">std::vector< uint64_t > </td><td class="memItemRight" valign="bottom"><a class="el" href="#ac044c4794349a8cff6256b99950d5773">Z_function</a> (const std::string &pattern)</td></tr>
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<tr class="memitem:ac044c4794349a8cff6256b99950d5773" id="r_ac044c4794349a8cff6256b99950d5773"><td class="memItemLeft">std::vector< uint64_t > </td><td class="memItemRight"><a class="el" href="#ac044c4794349a8cff6256b99950d5773">Z_function</a> (const std::string &pattern)</td></tr>
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<tr class="memdesc:ac044c4794349a8cff6256b99950d5773"><td class="mdescLeft"> </td><td class="mdescRight">for IO operations <br /></td></tr>
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<tr class="memitem:ac186ca3ac3a69b5e52543bb13fe46db8" id="r_ac186ca3ac3a69b5e52543bb13fe46db8"><td class="memItemLeft" align="right" valign="top">std::vector< uint64_t > </td><td class="memItemRight" valign="bottom"><a class="el" href="#ac186ca3ac3a69b5e52543bb13fe46db8">find_pat_in_text</a> (const std::string &pattern, const std::string &text)</td></tr>
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<tr class="memitem:ac186ca3ac3a69b5e52543bb13fe46db8" id="r_ac186ca3ac3a69b5e52543bb13fe46db8"><td class="memItemLeft">std::vector< uint64_t > </td><td class="memItemRight"><a class="el" href="#ac186ca3ac3a69b5e52543bb13fe46db8">find_pat_in_text</a> (const std::string &pattern, const std::string &text)</td></tr>
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<tr class="memdesc:ac186ca3ac3a69b5e52543bb13fe46db8"><td class="mdescLeft"> </td><td class="mdescRight">Using Z_function to find a pattern in a text. <br /></td></tr>
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<tr class="memitem:aa8dca7b867074164d5f45b0f3851269d" id="r_aa8dca7b867074164d5f45b0f3851269d"><td class="memItemLeft" align="right" valign="top">static void </td><td class="memItemRight" valign="bottom"><a class="el" href="#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
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<tr class="memitem:aa8dca7b867074164d5f45b0f3851269d" id="r_aa8dca7b867074164d5f45b0f3851269d"><td class="memItemLeft">static void </td><td class="memItemRight"><a class="el" href="#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
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<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft"> </td><td class="mdescRight">Self-test implementations. <br /></td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4" id="r_ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4" id="r_ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft">int </td><td class="memItemRight"><a class="el" href="#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
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<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft"> </td><td class="mdescRight">Main function. <br /></td></tr>
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</table>
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<a name="details" id="details"></a><h2 id="header-details" class="groupheader">Detailed Description</h2>
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<div class="textblock"><p>The <a href="https://cp-algorithms.com/string/z-function.html" target="_blank">Z function</a> for finding occurences of a pattern within a piece of text with time and space complexity O(n + m) </p>
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<div class="textblock"><p>The <a href="https://cp-algorithms.com/string/z-function.html" target="_blank">Z function</a> for finding occurences of a pattern within a piece of text with time and space complexity O(n + m). </p>
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<ol type="1">
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<li>The Z-function for a string is an array of length n where the i-th element is equal to the greatest number of characters starting from the position i that coincide with the first characters of s.</li>
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<li>E.g.: string: ababb then z[2]=2 as s[2]=s[0] and s[3]=s[1] and s[4]!=s[2] <dl class="section author"><dt>Author</dt><dd><a href="https://github.com/RitikaGupta8734" target="_blank">Ritika Gupta</a> </dd></dl>
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@@ -219,10 +240,10 @@ Functions</h2></td></tr>
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<p class="definition">Definition at line <a class="el" href="../../d3/d80/z__function_8cpp_source.html#l00110">110</a> of file <a class="el" href="../../d3/d80/z__function_8cpp_source.html">z_function.cpp</a>.</p>
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<div class="fragment"><div class="line"><span class="lineno"> 110</span> {</div>
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<div class="line"><span class="lineno"> 111</span> <a class="code hl_function" href="#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
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<div class="line"><span class="lineno"> 111</span> <a class="code hl_function" href="../../d6/d2c/caesar__cipher_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">test</a>(); <span class="comment">// run self-test implementations</span></div>
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<div class="line"><span class="lineno"> 112</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><span class="lineno"> 113</span>}</div>
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<div class="ttc" id="az__function_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> <a href="../../d3/d80/z__function_8cpp_source.html#l00072">z_function.cpp:72</a></div></div>
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<div class="ttc" id="acaesar__cipher_8cpp_html_ae1a3968e7947464bee7714f6d43b7002"><div class="ttname"><a href="../../d6/d2c/caesar__cipher_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">test</a></div><div class="ttdeci">void test()</div><div class="ttdef"><b>Definition</b> <a href="../../d6/d2c/caesar__cipher_8cpp_source.html#l00100">caesar_cipher.cpp:100</a></div></div>
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@@ -350,8 +371,8 @@ Functions</h2></td></tr>
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