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<div id="projectname">TheAlgorithms/C++<span id="projectnumber"> 1.0.0</span>
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</div>
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<div id="projectbrief">Set of algorithms implemented in C++.</div>
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<div id="projectbrief">All the algorithms implemented in C++</div>
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@@ -122,12 +139,14 @@ Include dependency graph for longest_increasing_subsequence_using_binary_search.
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<div class="dyncontent">
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d6/d04/longest__increasing__subsequence__using__binary__search_8cpp__incl.svg" width="435" height="140"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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<table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 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:a313539d9a97fc6e121ce496873ba892e" id="r_a313539d9a97fc6e121ce496873ba892e"><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr class="memitem:a313539d9a97fc6e121ce496873ba892e"><td class="memTemplItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint32_t</a> </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a313539d9a97fc6e121ce496873ba892e">longest_increasing_subsequence_using_binary_search</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< T > &nums)</td></tr>
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<tr class="memdesc:a313539d9a97fc6e121ce496873ba892e"><td class="mdescLeft"> </td><td class="mdescRight">for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint32_t</a> <br /></td></tr>
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<tr class="memitem:a313539d9a97fc6e121ce496873ba892e"><td class="memTemplItemLeft" align="right" valign="top">std::uint32_t </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a313539d9a97fc6e121ce496873ba892e">longest_increasing_subsequence_using_binary_search</a> (std::vector< T > &nums)</td></tr>
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<tr class="memdesc:a313539d9a97fc6e121ce496873ba892e"><td class="mdescLeft"> </td><td class="mdescRight">for std::uint32_t <br /></td></tr>
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<tr class="separator:a313539d9a97fc6e121ce496873ba892e"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a483bb8ccf42aaf7375a83e91490eda1e" id="r_a483bb8ccf42aaf7375a83e91490eda1e"><td class="memItemLeft" align="right" valign="top">static void </td><td class="memItemRight" valign="bottom"><a class="el" href="#a483bb8ccf42aaf7375a83e91490eda1e">tests</a> ()</td></tr>
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<tr class="memdesc:a483bb8ccf42aaf7375a83e91490eda1e"><td class="mdescLeft"> </td><td class="mdescRight">Test cases for Longest Increasing Subsequence function. <br /></td></tr>
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@@ -151,6 +170,8 @@ Functions</h2></td></tr>
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<p>Time complexity: O(n∗log(n)) Space complexity: O(1)</p>
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<p>This approach consider Most optimal Approach for solving this problem</p>
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<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/namanmodi65" target="_blank">Naman Jain</a> </dd></dl>
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<p class="definition">Definition in file <a class="el" href="../../d9/d5f/longest__increasing__subsequence__using__binary__search_8cpp_source.html">longest_increasing_subsequence_using_binary_search.cpp</a>.</p>
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</div><h2 class="groupheader">Function Documentation</h2>
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<a id="a313539d9a97fc6e121ce496873ba892e" name="a313539d9a97fc6e121ce496873ba892e"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a313539d9a97fc6e121ce496873ba892e">◆ </a></span>longest_increasing_subsequence_using_binary_search()</h2>
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@@ -161,16 +182,16 @@ Functions</h2></td></tr>
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template<typename T > </div>
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<table class="memname">
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<tr>
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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> longest_increasing_subsequence_using_binary_search </td>
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<td class="memname">std::uint32_t longest_increasing_subsequence_using_binary_search </td>
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<td>(</td>
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<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< T > &</td> <td class="paramname"><span class="paramname"><em>nums</em></span></td><td>)</td>
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<td class="paramtype">std::vector< T > &</td> <td class="paramname"><span class="paramname"><em>nums</em></span></td><td>)</td>
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<td></td>
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</tr>
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</table>
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</div><div class="memdoc">
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<p>for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint32_t</a> </p>
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<p>for std::assert for IO operations for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/lower_bound.html">std::lower_bound</a></p>
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<p>for std::uint32_t </p>
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<p>for std::assert for IO operations for std::vector for std::lower_bound</p>
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<p>Function to find the length of the Longest Increasing Subsequence (LIS) using Binary Search </p><dl class="tparams"><dt>Template Parameters</dt><dd>
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<table class="tparams">
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<tr><td class="paramname">T</td><td>The type of the elements in the input vector </td></tr>
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@@ -184,33 +205,24 @@ template<typename T > </div>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>The length of the longest increasing subsequence </dd></dl>
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<p class="definition">Definition at line <a class="el" href="../../d9/d5f/longest__increasing__subsequence__using__binary__search_8cpp_source.html#l00065">65</a> of file <a class="el" href="../../d9/d5f/longest__increasing__subsequence__using__binary__search_8cpp_source.html">longest_increasing_subsequence_using_binary_search.cpp</a>.</p>
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<div class="fragment"><div class="line"><span class="lineno"> 65</span> {</div>
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<div class="line"><span class="lineno"> 66</span> <span class="keywordflow">if</span> (nums.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/empty.html">empty</a>()) <span class="keywordflow">return</span> 0;</div>
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<div class="line"><span class="lineno"> 66</span> <span class="keywordflow">if</span> (nums.empty()) <span class="keywordflow">return</span> 0;</div>
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<div class="line"><span class="lineno"> 67</span> </div>
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<div class="line"><span class="lineno"> 68</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<T></a> ans;</div>
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<div class="line"><span class="lineno"> 68</span> std::vector<T> ans;</div>
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<div class="line"><span class="lineno"> 69</span> ans.push_back(nums[0]);</div>
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<div class="line"><span class="lineno"> 70</span> <span class="keywordflow">for</span> (<a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/size_t.html">std::size_t</a> i = 1; i < nums.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>(); i++) {</div>
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<div class="line"><span class="lineno"> 70</span> <span class="keywordflow">for</span> (std::size_t i = 1; i < nums.size(); i++) {</div>
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<div class="line"><span class="lineno"> 71</span> <span class="keywordflow">if</span> (nums[i] > ans.back()) {</div>
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<div class="line"><span class="lineno"> 72</span> ans.push_back(nums[i]);</div>
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<div class="line"><span class="lineno"> 73</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><span class="lineno"> 74</span> <span class="keyword">auto</span> idx = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/lower_bound.html">std::lower_bound</a>(ans.begin(), ans.end(), nums[i]) - ans.begin();</div>
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<div class="line"><span class="lineno"> 74</span> <span class="keyword">auto</span> idx = std::lower_bound(ans.begin(), ans.end(), nums[i]) - ans.begin();</div>
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<div class="line"><span class="lineno"> 75</span> ans[idx] = nums[i];</div>
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<div class="line"><span class="lineno"> 76</span> }</div>
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<div class="line"><span class="lineno"> 77</span> }</div>
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<div class="line"><span class="lineno"> 78</span> <span class="keywordflow">return</span> <span class="keyword">static_cast<</span><a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint32_t</a><span class="keyword">></span>(ans.size());</div>
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<div class="line"><span class="lineno"> 78</span> <span class="keywordflow">return</span> <span class="keyword">static_cast<</span>std::uint32_t<span class="keyword">></span>(ans.size());</div>
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<div class="line"><span class="lineno"> 79</span>}</div>
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<div class="ttc" id="aempty_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/empty.html">std::vector::empty</a></div><div class="ttdeci">T empty(T... args)</div></div>
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<div class="ttc" id="ainteger_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint32_t</a></div></div>
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<div class="ttc" id="alower_bound_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/lower_bound.html">std::lower_bound</a></div><div class="ttdeci">T lower_bound(T... args)</div></div>
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||||
<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>
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<div class="ttc" id="asize_t_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/types/size_t.html">std::size_t</a></div></div>
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<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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</div><!-- fragment --><div class="dynheader">
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Here is the call graph for this function:</div>
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<div class="dyncontent">
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d9/d5f/longest__increasing__subsequence__using__binary__search_8cpp_a313539d9a97fc6e121ce496873ba892e_cgraph.svg" width="372" height="135"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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</div><!-- fragment -->
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<p>Main function to run tests. </p>
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<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
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||||
<p class="definition">Definition at line <a class="el" href="../../d9/d5f/longest__increasing__subsequence__using__binary__search_8cpp_source.html#l00114">114</a> of file <a class="el" href="../../d9/d5f/longest__increasing__subsequence__using__binary__search_8cpp_source.html">longest_increasing_subsequence_using_binary_search.cpp</a>.</p>
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<div class="fragment"><div class="line"><span class="lineno"> 114</span> {</div>
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<div class="line"><span class="lineno"> 115</span> <a class="code hl_function" href="#a483bb8ccf42aaf7375a83e91490eda1e">tests</a>(); <span class="comment">// run self test implementation</span></div>
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<div class="line"><span class="lineno"> 116</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><span class="lineno"> 117</span>}</div>
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<div class="ttc" id="alongest__increasing__subsequence__using__binary__search_8cpp_html_a483bb8ccf42aaf7375a83e91490eda1e"><div class="ttname"><a href="#a483bb8ccf42aaf7375a83e91490eda1e">tests</a></div><div class="ttdeci">static void tests()</div><div class="ttdoc">Test cases for Longest Increasing Subsequence function.</div><div class="ttdef"><b>Definition</b> longest_increasing_subsequence_using_binary_search.cpp:85</div></div>
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</div><!-- fragment --><div class="dynheader">
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Here is the call graph for this function:</div>
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<div class="dyncontent">
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d9/d5f/longest__increasing__subsequence__using__binary__search_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg" width="567" height="135"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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<div class="ttc" id="alongest__increasing__subsequence__using__binary__search_8cpp_html_a483bb8ccf42aaf7375a83e91490eda1e"><div class="ttname"><a href="#a483bb8ccf42aaf7375a83e91490eda1e">tests</a></div><div class="ttdeci">static void tests()</div><div class="ttdoc">Test cases for Longest Increasing Subsequence function.</div><div class="ttdef"><b>Definition</b> <a href="../../d9/d5f/longest__increasing__subsequence__using__binary__search_8cpp_source.html#l00085">longest_increasing_subsequence_using_binary_search.cpp:85</a></div></div>
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<a id="a483bb8ccf42aaf7375a83e91490eda1e" name="a483bb8ccf42aaf7375a83e91490eda1e"></a>
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<p>Test cases for Longest Increasing Subsequence function. </p>
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<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
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<p class="definition">Definition at line <a class="el" href="../../d9/d5f/longest__increasing__subsequence__using__binary__search_8cpp_source.html#l00085">85</a> of file <a class="el" href="../../d9/d5f/longest__increasing__subsequence__using__binary__search_8cpp_source.html">longest_increasing_subsequence_using_binary_search.cpp</a>.</p>
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<div class="fragment"><div class="line"><span class="lineno"> 85</span> {</div>
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<div class="line"><span class="lineno"> 86</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<int></a> arr = {10, 9, 2, 5, 3, 7, 101, 18};</div>
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<div class="line"><span class="lineno"> 86</span> std::vector<int> arr = {10, 9, 2, 5, 3, 7, 101, 18};</div>
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<div class="line"><span class="lineno"> 87</span> assert(<a class="code hl_function" href="#a313539d9a97fc6e121ce496873ba892e">longest_increasing_subsequence_using_binary_search</a>(arr) == 4);</div>
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<div class="line"><span class="lineno"> 88</span> </div>
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<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<int></a> arr2 = {0, 1, 0, 3, 2, 3};</div>
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<div class="line"><span class="lineno"> 89</span> std::vector<int> arr2 = {0, 1, 0, 3, 2, 3};</div>
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<div class="line"><span class="lineno"> 90</span> assert(<a class="code hl_function" href="#a313539d9a97fc6e121ce496873ba892e">longest_increasing_subsequence_using_binary_search</a>(arr2) == 4);</div>
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<div class="line"><span class="lineno"> 91</span> </div>
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<div class="line"><span class="lineno"> 92</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<int></a> arr3 = {7, 7, 7, 7, 7, 7, 7};</div>
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<div class="line"><span class="lineno"> 92</span> std::vector<int> arr3 = {7, 7, 7, 7, 7, 7, 7};</div>
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<div class="line"><span class="lineno"> 93</span> assert(<a class="code hl_function" href="#a313539d9a97fc6e121ce496873ba892e">longest_increasing_subsequence_using_binary_search</a>(arr3) == 1);</div>
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<div class="line"><span class="lineno"> 94</span> </div>
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<div class="line"><span class="lineno"> 95</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<int></a> arr4 = {-10, -1, -5, 0, 5, 1, 2};</div>
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<div class="line"><span class="lineno"> 95</span> std::vector<int> arr4 = {-10, -1, -5, 0, 5, 1, 2};</div>
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<div class="line"><span class="lineno"> 96</span> assert(<a class="code hl_function" href="#a313539d9a97fc6e121ce496873ba892e">longest_increasing_subsequence_using_binary_search</a>(arr4) == 5);</div>
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<div class="line"><span class="lineno"> 97</span> </div>
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<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<double></a> arr5 = {3.5, 1.2, 2.8, 3.1, 4.0};</div>
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<div class="line"><span class="lineno"> 98</span> std::vector<double> arr5 = {3.5, 1.2, 2.8, 3.1, 4.0};</div>
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<div class="line"><span class="lineno"> 99</span> assert(<a class="code hl_function" href="#a313539d9a97fc6e121ce496873ba892e">longest_increasing_subsequence_using_binary_search</a>(arr5) == 4);</div>
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<div class="line"><span class="lineno"> 100</span> </div>
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<div class="line"><span class="lineno"> 101</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<char></a> arr6 = {<span class="charliteral">'a'</span>, <span class="charliteral">'b'</span>, <span class="charliteral">'c'</span>, <span class="charliteral">'a'</span>, <span class="charliteral">'d'</span>};</div>
|
||||
<div class="line"><span class="lineno"> 101</span> std::vector<char> arr6 = {<span class="charliteral">'a'</span>, <span class="charliteral">'b'</span>, <span class="charliteral">'c'</span>, <span class="charliteral">'a'</span>, <span class="charliteral">'d'</span>};</div>
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<div class="line"><span class="lineno"> 102</span> assert(<a class="code hl_function" href="#a313539d9a97fc6e121ce496873ba892e">longest_increasing_subsequence_using_binary_search</a>(arr6) == 4);</div>
|
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<div class="line"><span class="lineno"> 103</span> </div>
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<div class="line"><span class="lineno"> 104</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<int></a> arr7 = {};</div>
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<div class="line"><span class="lineno"> 104</span> std::vector<int> arr7 = {};</div>
|
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<div class="line"><span class="lineno"> 105</span> assert(<a class="code hl_function" href="#a313539d9a97fc6e121ce496873ba892e">longest_increasing_subsequence_using_binary_search</a>(arr7) == 0);</div>
|
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<div class="line"><span class="lineno"> 106</span> </div>
|
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<div class="line"><span class="lineno"> 107</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"All tests have successfully passed!\n"</span>;</div>
|
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<div class="line"><span class="lineno"> 107</span> std::cout << <span class="stringliteral">"All tests have successfully passed!\n"</span>;</div>
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<div class="line"><span class="lineno"> 108</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="alongest__increasing__subsequence__using__binary__search_8cpp_html_a313539d9a97fc6e121ce496873ba892e"><div class="ttname"><a href="#a313539d9a97fc6e121ce496873ba892e">longest_increasing_subsequence_using_binary_search</a></div><div class="ttdeci">std::uint32_t longest_increasing_subsequence_using_binary_search(std::vector< T > &nums)</div><div class="ttdoc">for std::uint32_t</div><div class="ttdef"><b>Definition</b> longest_increasing_subsequence_using_binary_search.cpp:65</div></div>
|
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</div><!-- fragment --><div class="dynheader">
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d9/d5f/longest__increasing__subsequence__using__binary__search_8cpp_a483bb8ccf42aaf7375a83e91490eda1e_cgraph.svg" width="470" height="135"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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<div class="ttc" id="alongest__increasing__subsequence__using__binary__search_8cpp_html_a313539d9a97fc6e121ce496873ba892e"><div class="ttname"><a href="#a313539d9a97fc6e121ce496873ba892e">longest_increasing_subsequence_using_binary_search</a></div><div class="ttdeci">std::uint32_t longest_increasing_subsequence_using_binary_search(std::vector< T > &nums)</div><div class="ttdoc">for std::uint32_t</div><div class="ttdef"><b>Definition</b> <a href="../../d9/d5f/longest__increasing__subsequence__using__binary__search_8cpp_source.html#l00065">longest_increasing_subsequence_using_binary_search.cpp:65</a></div></div>
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</div><!-- fragment -->
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</div><!-- contents -->
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