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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<a name="details" id="details"></a><h2 id="header-details" class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Matrix Exponentiation. </p>
<p>The problem can be solved with DP but constraints are high. <br />
\(a_i = b_i\) (for \(i &lt;= k\)) <br />
@@ -191,7 +168,7 @@ This way you can find the \(10^{18}\) fibonacci numberMOD. I have given a genera
<p>The first element of this matrix is the required result. </p>
<p class="definition">Definition in file <a class="el" href="../../d7/d35/matrix__exponentiation_8cpp_source.html">matrix_exponentiation.cpp</a>.</p>
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<p>shorthand definition for <code>std::endl</code> </p>
<p>shorthand definition for <span class="tt">std::endl</span> </p>
<p class="definition">Definition at line <a class="el" href="../../d7/d35/matrix__exponentiation_8cpp_source.html#l00036">36</a> of file <a class="el" href="../../d7/d35/matrix__exponentiation_8cpp_source.html">matrix_exponentiation.cpp</a>.</p>
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<p>shorthand definition for <code>int64_t</code> </p>
<p>shorthand definition for <span class="tt">int64_t</span> </p>
<p class="definition">Definition at line <a class="el" href="../../d7/d35/matrix__exponentiation_8cpp_source.html#l00033">33</a> of file <a class="el" href="../../d7/d35/matrix__exponentiation_8cpp_source.html">matrix_exponentiation.cpp</a>.</p>
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<p>shorthand definition for <code>int64_t</code> </p>
<p>shorthand definition for <span class="tt">int64_t</span> </p>
<p class="definition">Definition at line <a class="el" href="../../d7/d35/matrix__exponentiation_8cpp_source.html#l00039">39</a> of file <a class="el" href="../../d7/d35/matrix__exponentiation_8cpp_source.html">matrix_exponentiation.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#ad8389ed58fd0ec66df248014775ad1fa">&#9670;&#160;</a></span>ans()</h2>
@@ -357,13 +334,14 @@ This way you can find the \(10^{18}\) fibonacci numberMOD. I have given a genera
<div class="line"><span class="lineno"> 140</span> fib_c.pb(x);</div>
<div class="line"><span class="lineno"> 141</span> }</div>
<div class="line"><span class="lineno"> 142</span> cin &gt;&gt; x;</div>
<div class="line"><span class="lineno"> 143</span> cout &lt;&lt; ans(x) &lt;&lt; <a class="code hl_define" href="#a600eaf353befc174637855795f12d258">endl</a>;</div>
<div class="line"><span class="lineno"> 143</span> cout &lt;&lt; <a class="code hl_function" href="#ad8389ed58fd0ec66df248014775ad1fa">ans</a>(x) &lt;&lt; <a class="code hl_define" href="#a600eaf353befc174637855795f12d258">endl</a>;</div>
<div class="line"><span class="lineno"> 144</span> <a class="code hl_variable" href="#a35b7c98af53ad2ec18658679ad7d43de">fib_b</a>.clear();</div>
<div class="line"><span class="lineno"> 145</span> fib_c.clear();</div>
<div class="line"><span class="lineno"> 146</span> }</div>
<div class="line"><span class="lineno"> 147</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 148</span>}</div>
<div class="ttc" id="amatrix__exponentiation_8cpp_html_a600eaf353befc174637855795f12d258"><div class="ttname"><a href="#a600eaf353befc174637855795f12d258">endl</a></div><div class="ttdeci">#define endl</div><div class="ttdef"><b>Definition</b> <a href="../../d7/d35/matrix__exponentiation_8cpp_source.html#l00036">matrix_exponentiation.cpp:36</a></div></div>
<div class="ttc" id="amatrix__exponentiation_8cpp_html_ad8389ed58fd0ec66df248014775ad1fa"><div class="ttname"><a href="#ad8389ed58fd0ec66df248014775ad1fa">ans</a></div><div class="ttdeci">ll ans(ll n)</div><div class="ttdef"><b>Definition</b> <a href="../../d7/d35/matrix__exponentiation_8cpp_source.html#l00091">matrix_exponentiation.cpp:91</a></div></div>
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@@ -454,7 +432,7 @@ This way you can find the \(10^{18}\) fibonacci numberMOD. I have given a genera
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<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span></div>
<div class="foldopen" id="foldopen00091" data-start="{" data-end="}">
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"><a class="line" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa"> 91</a></span><a class="code hl_define" href="../../d7/d35/matrix__exponentiation_8cpp.html#ae1d1ec9482079231e898236e2b23c9ba">ll</a> ans(<a class="code hl_define" href="../../d7/d35/matrix__exponentiation_8cpp.html#ae1d1ec9482079231e898236e2b23c9ba">ll</a> n) {</div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"><a class="line" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa"> 91</a></span><a class="code hl_define" href="../../d7/d35/matrix__exponentiation_8cpp.html#ae1d1ec9482079231e898236e2b23c9ba">ll</a> <a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a>(<a class="code hl_define" href="../../d7/d35/matrix__exponentiation_8cpp.html#ae1d1ec9482079231e898236e2b23c9ba">ll</a> n) {</div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> <span class="keywordflow">if</span> (n == 0)</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <span class="keywordflow">if</span> (n &lt;= <a class="code hl_variable" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a>)</div>
@@ -226,7 +218,7 @@ $(function(){initNavTree('d7/d35/matrix__exponentiation_8cpp_source.html','../..
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> fib_c.pb(x);</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> }</div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> cin &gt;&gt; x;</div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> cout &lt;&lt; ans(x) &lt;&lt; <a class="code hl_define" href="../../d7/d35/matrix__exponentiation_8cpp.html#a600eaf353befc174637855795f12d258">endl</a>;</div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> cout &lt;&lt; <a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a>(x) &lt;&lt; <a class="code hl_define" href="../../d7/d35/matrix__exponentiation_8cpp.html#a600eaf353befc174637855795f12d258">endl</a>;</div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> <a class="code hl_variable" href="../../d7/d35/matrix__exponentiation_8cpp.html#a35b7c98af53ad2ec18658679ad7d43de">fib_b</a>.clear();</div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> fib_c.clear();</div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> }</div>
@@ -238,15 +230,17 @@ $(function(){initNavTree('d7/d35/matrix__exponentiation_8cpp_source.html','../..
<div class="ttc" id="amatrix__exponentiation_8cpp_html_a600eaf353befc174637855795f12d258"><div class="ttname"><a href="../../d7/d35/matrix__exponentiation_8cpp.html#a600eaf353befc174637855795f12d258">endl</a></div><div class="ttdeci">#define endl</div><div class="ttdef"><b>Definition</b> <a href="#l00036">matrix_exponentiation.cpp:36</a></div></div>
<div class="ttc" id="amatrix__exponentiation_8cpp_html_a702a9fc90e79b05b863cc4efa26ae2ec"><div class="ttname"><a href="../../d7/d35/matrix__exponentiation_8cpp.html#a702a9fc90e79b05b863cc4efa26ae2ec">power</a></div><div class="ttdeci">vector&lt; vector&lt; ll &gt; &gt; power(const vector&lt; vector&lt; ll &gt; &gt; &amp;A, ll p)</div><div class="ttdef"><b>Definition</b> <a href="#l00076">matrix_exponentiation.cpp:76</a></div></div>
<div class="ttc" id="amatrix__exponentiation_8cpp_html_a9977ad12548c4a49dee9dc3f0685aa54"><div class="ttname"><a href="../../d7/d35/matrix__exponentiation_8cpp.html#a9977ad12548c4a49dee9dc3f0685aa54">mat_size</a></div><div class="ttdeci">ll mat_size</div><div class="ttdef"><b>Definition</b> <a href="#l00045">matrix_exponentiation.cpp:45</a></div></div>
<div class="ttc" id="amatrix__exponentiation_8cpp_html_ad8389ed58fd0ec66df248014775ad1fa"><div class="ttname"><a href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a></div><div class="ttdeci">ll ans(ll n)</div><div class="ttdef"><b>Definition</b> <a href="#l00091">matrix_exponentiation.cpp:91</a></div></div>
<div class="ttc" id="amatrix__exponentiation_8cpp_html_ae1d1ec9482079231e898236e2b23c9ba"><div class="ttname"><a href="../../d7/d35/matrix__exponentiation_8cpp.html#ae1d1ec9482079231e898236e2b23c9ba">ll</a></div><div class="ttdeci">#define ll</div><div class="ttdef"><b>Definition</b> <a href="#l00033">matrix_exponentiation.cpp:33</a></div></div>
<div class="ttc" id="amatrix__exponentiation_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d7/d35/matrix__exponentiation_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition</b> <a href="#l00126">matrix_exponentiation.cpp:126</a></div></div>
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