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<div class="title">ST</div> </div>
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<p>Builds the sparse table for computing min/max/gcd/lcm/...etc for any contiguous sub-segment of the array.This is an example of computing the index of the minimum value. </p><dl class="section return"><dt>Returns</dt><dd>void @complexity: O(n.log(n))< precomputing <code>log2(i+1)</code></dd></dl>
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||||
<dl class="section note"><dt>Note</dt><dd>notice how we deal with the range of length <code>pow(2,i)</code>, and we can reuse the computation that we did for the range of length <code>pow(2,i-1)</code>.</dd></dl>
|
||||
<p>So, ST[j][i] = min( ST[j-1][i], ST[j-1][i + pow(2,j-1)]). [2][3] = min(ST[1][3], ST[1][5])</p>
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@@ -213,15 +213,16 @@ Here is the call graph for this function:</div>
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<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  }</div>
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<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  </div>
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<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <span class="keywordflow">if</span> (count)</div>
|
||||
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <a class="code" href="../../db/d0d/prime__factorization_8cpp.html#acfb0df439a4beae5a34ef131ce737c1b">factors</a>.push_back(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair/make_pair.html">std::make_pair</a>(<a class="code" href="../../db/d0d/prime__factorization_8cpp.html#af097796783684712b8326e5b82bfd4fe">prime_numbers</a>[i], count));</div>
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<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <a class="code" href="../../db/d0d/prime__factorization_8cpp.html#acfb0df439a4beae5a34ef131ce737c1b">factors</a>.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair/make_pair.html">std::make_pair</a>(<a class="code" href="../../db/d0d/prime__factorization_8cpp.html#af097796783684712b8326e5b82bfd4fe">prime_numbers</a>[i], count));</div>
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<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  }</div>
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<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> }</div>
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<div class="ttc" id="amake_pair_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/utility/pair/make_pair.html">std::make_pair</a></div><div class="ttdeci">T make_pair(T... args)</div></div>
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<div class="ttc" id="aprime__factorization_8cpp_html_af097796783684712b8326e5b82bfd4fe"><div class="ttname"><a href="../../db/d0d/prime__factorization_8cpp.html#af097796783684712b8326e5b82bfd4fe">prime_numbers</a></div><div class="ttdeci">std::vector< int > prime_numbers</div><div class="ttdef"><b>Definition:</b> prime_factorization.cpp:16</div></div>
|
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<div class="ttc" id="apush_back_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">std::vector::push_back</a></div><div class="ttdeci">T push_back(T... args)</div></div>
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<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  <span class="comment">// initializes the array isprime</span></div>
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<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/byte/memset.html">memset</a>(<a class="code" href="../../db/d0d/prime__factorization_8cpp.html#a7fe38b570a51e448430d6a0f072c2f23">isprime</a>, <span class="keyword">true</span>, <span class="keyword">sizeof</span> <a class="code" href="../../db/d0d/prime__factorization_8cpp.html#a7fe38b570a51e448430d6a0f072c2f23">isprime</a>);</div>
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<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  </div>
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<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 2; i <= N; i++) {</div>
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<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 2; i <= <a class="code" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a>; i++) {</div>
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||||
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  <span class="keywordflow">if</span> (<a class="code" href="../../db/d0d/prime__factorization_8cpp.html#a7fe38b570a51e448430d6a0f072c2f23">isprime</a>[i]) {</div>
|
||||
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 2 * i; j <= N; j += i) <a class="code" href="../../db/d0d/prime__factorization_8cpp.html#a7fe38b570a51e448430d6a0f072c2f23">isprime</a>[j] = <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 2 * i; j <= <a class="code" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a>; j += i) <a class="code" href="../../db/d0d/prime__factorization_8cpp.html#a7fe38b570a51e448430d6a0f072c2f23">isprime</a>[j] = <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  }</div>
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<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  }</div>
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<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  </div>
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<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 2; i <= N; i++) {</div>
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<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 2; i <= <a class="code" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a>; i++) {</div>
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<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  <span class="keywordflow">if</span> (<a class="code" href="../../db/d0d/prime__factorization_8cpp.html#a7fe38b570a51e448430d6a0f072c2f23">isprime</a>[i])</div>
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<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <a class="code" href="../../db/d0d/prime__factorization_8cpp.html#af097796783684712b8326e5b82bfd4fe">prime_numbers</a>.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(i);</div>
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<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  }</div>
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<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> }</div>
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<div class="ttc" id="adata__structures_2sparse__table_8cpp_html_a10f3ffb3f6f7e1b83d556b9c8de89a5d"><div class="ttname"><a href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">data_structures::sparse_table::N</a></div><div class="ttdeci">constexpr uint32_t N</div><div class="ttdoc">A struct to represent sparse table for min() as their invariant function, for the given array A....</div><div class="ttdef"><b>Definition:</b> sparse_table.cpp:47</div></div>
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<div class="ttc" id="amemset_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/byte/memset.html">std::memset</a></div><div class="ttdeci">T memset(T... args)</div></div>
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<div class="ttc" id="aprime__factorization_8cpp_html_a7fe38b570a51e448430d6a0f072c2f23"><div class="ttname"><a href="../../db/d0d/prime__factorization_8cpp.html#a7fe38b570a51e448430d6a0f072c2f23">isprime</a></div><div class="ttdeci">bool isprime[1000006]</div><div class="ttdef"><b>Definition:</b> prime_factorization.cpp:13</div></div>
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<div class="ttc" id="apush_back_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">std::vector::push_back</a></div><div class="ttdeci">T push_back(T... args)</div></div>
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<p>operator overload to compare two numbers </p>
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<p>This is the complete list of members for <a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html">machine_learning::aystar_search::EightPuzzle< N ></a>, including all inherited members.</p>
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<tr bgcolor="#f0f0f0" class="even"><td class="entry"><b>board</b> (defined in <a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html">machine_learning::aystar_search::EightPuzzle< N ></a>)</td><td class="entry"><a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html">machine_learning::aystar_search::EightPuzzle< N ></a></td><td class="entry"><span class="mlabel">private</span></td></tr>
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<tr class="even"><td class="entry"><a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html#ab7fd890a7ccf756e4b3313087b76a8c2">EightPuzzle</a>(const std::array< std::array< uint32_t, N >, N > &init)</td><td class="entry"><a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html">machine_learning::aystar_search::EightPuzzle< N ></a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">explicit</span></td></tr>
|
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|
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<tr class="even"><td class="entry"><a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html#af22395b8e9e04222aa93a329523faef9">EightPuzzle</a>(const EightPuzzle< N > &&A) noexcept</td><td class="entry"><a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html">machine_learning::aystar_search::EightPuzzle< N ></a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
|
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<tr><td class="entry"><a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html#a01564e5136ca270c45382e5ea55dc6ec">find_zero</a>()</td><td class="entry"><a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html">machine_learning::aystar_search::EightPuzzle< N ></a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">private</span></td></tr>
|
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<tr class="even"><td class="entry"><a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html#af8cc0c234ebd261ee27bc3c391f837e3">generate_possible_moves</a>()</td><td class="entry"><a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html">machine_learning::aystar_search::EightPuzzle< N ></a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
|
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<tr><td class="entry"><a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html#aa5c0486c7f29f323a2aced2ab33af420">get</a>(size_t i, size_t j) const</td><td class="entry"><a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html">machine_learning::aystar_search::EightPuzzle< N ></a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
|
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<tr class="even"><td class="entry"><a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html#ae145ac4a0d2ec58945b58fad3c04f00f">get_size</a>() const</td><td class="entry"><a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html">machine_learning::aystar_search::EightPuzzle< N ></a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
|
||||
<tr><td class="entry"><a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html#a104ce464744254f6be45781e65c40404">get_state</a>()</td><td class="entry"><a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html">machine_learning::aystar_search::EightPuzzle< N ></a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
|
||||
<tr class="even"><td class="entry"><a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html#a48d054230468b79037964f474d842b6e">in_range</a>(const uint32_t value) const</td><td class="entry"><a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html">machine_learning::aystar_search::EightPuzzle< N ></a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">private</span></td></tr>
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<tr><td class="entry"><a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html#ada9dd16b9aafa97dd15f1e7be8ad586b">moves</a></td><td class="entry"><a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html">machine_learning::aystar_search::EightPuzzle< N ></a></td><td class="entry"><span class="mlabel">private</span></td></tr>
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<tr class="even"><td class="entry"><a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html#a64815f10cf9fb9fdb4cc92731ccf10ba">operator<</a>(const EightPuzzle< N > &check) const</td><td class="entry"><a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html">machine_learning::aystar_search::EightPuzzle< N ></a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
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<tr><td class="entry"><a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html#a53237f6f7d19e9601a1e6ba90749a20d">operator<<</a>(std::ostream &op, const EightPuzzle< N > &SomeState)</td><td class="entry"><a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html">machine_learning::aystar_search::EightPuzzle< N ></a></td><td class="entry"><span class="mlabel">friend</span></td></tr>
|
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<tr class="even"><td class="entry"><a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html#af778034b2942ecac6df1e9ec8b5412ee">operator<=</a>(const EightPuzzle< N > &check) const</td><td class="entry"><a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html">machine_learning::aystar_search::EightPuzzle< N ></a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
|
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<tr><td class="entry"><a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html#a079587a19a47c75c51a5a726d9263fb9">operator=</a>(const EightPuzzle &A)</td><td class="entry"><a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html">machine_learning::aystar_search::EightPuzzle< N ></a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
|
||||
<tr class="even"><td class="entry"><a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html#a2ac8dff819bc37f2136951a5bc9fc799">operator=</a>(EightPuzzle &&A) noexcept</td><td class="entry"><a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html">machine_learning::aystar_search::EightPuzzle< N ></a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
|
||||
<tr><td class="entry"><a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html#aa17e0227321b109ed91e156ac1332915">operator==</a>(const EightPuzzle< N > &check) const</td><td class="entry"><a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html">machine_learning::aystar_search::EightPuzzle< N ></a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
|
||||
<tr class="even"><td class="entry"><a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html#a194c2973b51a5467fc17064a4ea4e6f9">~EightPuzzle</a>()=default</td><td class="entry"><a class="el" href="../../dd/d9c/classmachine__learning_1_1aystar__search_1_1_eight_puzzle.html">machine_learning::aystar_search::EightPuzzle< N ></a></td><td class="entry"></td></tr>
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