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<h1 id="firstHeading" class="firstHeading"><span style="font-size:0.7em; line-height:130%">std::</span>partial_sum</h1>
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<div id="contentSub"><span class="subpages">&lt; <a href="cpp.html">cpp</a>&lrm; | <a href="cpp-algorithm.html">algorithm</a></span></div>
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<div>&#23450;&#20041;&#20110;&#22836;&#25991;&#20214; <code><a href="cpp-header-numeric.html">&lt;numeric&gt;</a></code></div>
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<td rowspan="142">(1)</td>
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<div><span class="mw-geshi cpp source-cpp"><span class="kw1">template</span><span class="sy1">&lt;</span> <span class="kw1">class</span> InputIt, <span class="kw1">class</span> OutputIt <span class="sy1">&gt;</span><br />
OutputIt partial_sum<span class="br0">(</span> InputIt first, InputIt last, OutputIt d_first <span class="br0">)</span><span class="sy4">;</span></span></div>
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<td><span class="t-mark-rev t-until-cxx20">(C++20 &#21069;)</span></td>
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<div><span class="mw-geshi cpp source-cpp"><span class="kw1">template</span><span class="sy1">&lt;</span> <span class="kw1">class</span> InputIt, <span class="kw1">class</span> OutputIt <span class="sy1">&gt;</span><br />
<span class="kw4">constexpr</span> OutputIt partial_sum<span class="br0">(</span> InputIt first, InputIt last, OutputIt d_first <span class="br0">)</span><span class="sy4">;</span></span></div>
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<td><span class="t-mark-rev t-since-cxx20">(C++20 &#36215;)</span></td>
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<td rowspan="142">(2)</td>
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<div><span class="mw-geshi cpp source-cpp"><span class="kw1">template</span><span class="sy1">&lt;</span> <span class="kw1">class</span> InputIt, <span class="kw1">class</span> OutputIt, <span class="kw1">class</span> BinaryOperation <span class="sy1">&gt;</span><br /></span>
<p>OutputIt partial_sum<span class="br0">(</span> InputIt first, InputIt last, OutputIt d_first,<br /></p>
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; BinaryOperation op <span class="br0">)</span><span class="sy4">;</span></div>
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<td class="t-dcl-nopad"></td>
<td><span class="t-mark-rev t-until-cxx20">(C++20 &#21069;)</span></td>
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<div><span class="mw-geshi cpp source-cpp"><span class="kw1">template</span><span class="sy1">&lt;</span> <span class="kw1">class</span> InputIt, <span class="kw1">class</span> OutputIt, <span class="kw1">class</span> BinaryOperation <span class="sy1">&gt;</span><br /></span>
<p><span class="kw4">constexpr</span> OutputIt partial_sum<span class="br0">(</span> InputIt first, InputIt last, OutputIt d_first,<br /></p>
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; BinaryOperation op <span class="br0">)</span><span class="sy4">;</span></div>
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<td class="t-dcl-nopad"></td>
<td><span class="t-mark-rev t-since-cxx20">(C++20 &#36215;)</span></td>
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<p>&#35745;&#31639;&#33539;&#22260; <code>[first, last)</code> &#30340;&#23376;&#33539;&#22260;&#20013;&#20803;&#32032;&#30340;&#37096;&#20998;&#21644;&#65292;&#24182;&#20889;&#20837;&#21040;&#22987;&#20110; <code>d_first</code> &#30340;&#33539;&#22260;&#12290;&#31532;&#19968;&#29256;&#26412;&#29992; <code>operator+</code> &#65292;&#31532;&#20108;&#29256;&#26412;&#29992;&#32473;&#23450;&#30340;&#20108;&#20803;&#20989;&#25968; <code>op</code> &#23545;&#20803;&#32032;&#27714;&#21644;<span class="t-rev-inl t-since-cxx20"><span>&#65292;&#22343;&#23558; <a href="cpp-utility-move.html"><tt>std::move</tt></a> &#24212;&#29992;&#21040;&#20854;&#24038;&#20391;&#36816;&#31639;&#25968;</span> <span><span class="t-mark-rev t-since-cxx20">(C++20 &#36215;)</span></span></span>&#12290;</p>
<p>&#31561;&#20215;&#36816;&#31639;&#65306;</p>
<div dir="ltr" class="mw-geshi" style="text-align: left;">
<div class="cpp source-cpp">
<pre class="de1"><span class="sy2">*</span><span class="br0">(</span>d_first<span class="br0">)</span> <span class="sy1">=</span> <span class="sy2">*</span>first<span class="sy4">;</span>
<span class="sy2">*</span><span class="br0">(</span>d_first<span class="sy2">+</span><span class="nu0">1</span><span class="br0">)</span> <span class="sy1">=</span> <span class="sy2">*</span>first <span class="sy2">+</span> <span class="sy2">*</span><span class="br0">(</span>first<span class="sy2">+</span><span class="nu0">1</span><span class="br0">)</span><span class="sy4">;</span>
<span class="sy2">*</span><span class="br0">(</span>d_first<span class="sy2">+</span><span class="nu0">2</span><span class="br0">)</span> <span class="sy1">=</span> <span class="sy2">*</span>first <span class="sy2">+</span> <span class="sy2">*</span><span class="br0">(</span>first<span class="sy2">+</span><span class="nu0">1</span><span class="br0">)</span> <span class="sy2">+</span> <span class="sy2">*</span><span class="br0">(</span>first<span class="sy2">+</span><span class="nu0">2</span><span class="br0">)</span><span class="sy4">;</span>
<span class="sy2">*</span><span class="br0">(</span>d_first<span class="sy2">+</span><span class="nu0">3</span><span class="br0">)</span> <span class="sy1">=</span> <span class="sy2">*</span>first <span class="sy2">+</span> <span class="sy2">*</span><span class="br0">(</span>first<span class="sy2">+</span><span class="nu0">1</span><span class="br0">)</span> <span class="sy2">+</span> <span class="sy2">*</span><span class="br0">(</span>first<span class="sy2">+</span><span class="nu0">2</span><span class="br0">)</span> <span class="sy2">+</span> <span class="sy2">*</span><span class="br0">(</span>first<span class="sy2">+</span><span class="nu0">3</span><span class="br0">)</span><span class="sy4">;</span>
...</pre></div>
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<p><code>op</code> &#24517;&#39035;&#26080;&#21103;&#20316;&#29992;&#12290;</p>
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<td><span class="t-mark-rev t-until-cxx11">(C++11 &#21069;)</span></td>
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<tr class="t-rev t-since-cxx11">
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<p><code>op</code> &#24517;&#39035;&#19981;&#38750;&#27861;&#21270;&#28041;&#21450;&#33539;&#22260;&#30340;&#20219;&#20309;&#36845;&#20195;&#22120;&#65292;&#21547;&#23614;&#36845;&#20195;&#22120;&#65292;&#25110;&#20462;&#25913;&#35813;&#33539;&#22260;&#30340;&#20219;&#20309;&#20803;&#32032;&#12290;</p>
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<td><span class="t-mark-rev t-since-cxx11">(C++11 &#36215;)</span></td>
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<h3><span class="mw-headline" id=".E5.8F.82.E6.95.B0">&#21442;&#25968;</span></h3>
<table class="t-par-begin">
<tr class="t-par">
<td>first, last</td>
<td>-</td>
<td>&#35201;&#27714;&#21644;&#30340;&#20803;&#32032;&#33539;&#22260;</td>
</tr>
<tr class="t-par">
<td>d_first</td>
<td>-</td>
<td>&#30446;&#26631;&#33539;&#22260;&#36215;&#22987;&#65307;&#21487;&#20197;&#31561;&#20110; <code>first</code></td>
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<tr class="t-par">
<td>op</td>
<td>-</td>
<td>&#34987;&#20351;&#29992;&#30340;&#20108;&#20803;&#20989;&#25968;&#23545;&#35937;&#12290;<br />
<p>&#35813;&#20989;&#25968;&#30340;&#31614;&#21517;&#24212;&#24403;&#31561;&#20215;&#20110;&#65306;</p>
<p><span class="t-cc"><span class="mw-geshi cpp source-cpp">&nbsp;Ret fun<span class="br0">(</span><span class="kw4">const</span> Type1 <span class="sy3">&amp;</span>a, <span class="kw4">const</span> Type2 <span class="sy3">&amp;</span>b<span class="br0">)</span><span class="sy4">;</span></span></span></p>
<p>&#31614;&#21517;&#20013;&#24182;&#19981;&#38656;&#35201;&#26377; <span class="t-c"><span class="mw-geshi cpp source-cpp"><span class="kw4">const</span> <span class="sy3">&amp;</span></span></span>&#12290;<br />
&#31867;&#22411; <span class="t-c"><span class="mw-geshi cpp source-cpp">Type1</span></span> &#24517;&#39035;&#20351;&#24471; <span class="t-c"><span class="mw-geshi cpp source-cpp">iterator_traits<span class="sy1">&lt;</span>InputIt<span class="sy1">&gt;</span><span class="sy4">::</span><span class="me2">value_type</span></span></span> &#31867;&#22411;&#30340;&#23545;&#35937;&#33021;&#38544;&#24335;&#36716;&#25442;&#21040; <span class="t-c"><span class="mw-geshi cpp source-cpp">Type1</span></span> &#12290;&#31867;&#22411; <span class="t-c"><span class="mw-geshi cpp source-cpp">Type2</span></span> &#24517;&#39035;&#20351;&#24471; <span class="t-c"><span class="mw-geshi cpp source-cpp">InputIt</span></span> &#31867;&#22411;&#30340;&#23545;&#35937;&#33021;&#22312;&#35299;&#24341;&#29992;&#21518;&#38544;&#24335;&#36716;&#25442;&#21040; <span class="t-c"><span class="mw-geshi cpp source-cpp">Type2</span></span> &#12290; &#31867;&#22411; <span class="t-c"><span class="mw-geshi cpp source-cpp">Ret</span></span> &#24517;&#39035;&#20351;&#24471; <span class="t-c"><span class="mw-geshi cpp source-cpp">iterator_traits<span class="sy1">&lt;</span>InputIt<span class="sy1">&gt;</span><span class="sy4">::</span><span class="me2">value_type</span></span></span> &#31867;&#22411;&#23545;&#35937;&#33021;&#34987;&#36171; <span class="t-c"><span class="mw-geshi cpp source-cpp">Ret</span></span> &#31867;&#22411;&#20540;&#12290; &#8203;</p>
</td>
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<tr class="t-par-hitem">
<td colspan="3">&#31867;&#22411;&#35201;&#27714;</td>
</tr>
<tr class="t-par-req">
<td colspan="3">-
<div class="spacer"></div>
<code>InputIt</code> &#24517;&#39035;&#28385;&#36275;<a href="cpp-named_req-InputIterator.html"><span style="font-style:italic">&#32769;&#24335;&#36755;&#20837;&#36845;&#20195;&#22120;</span> <span style="font-family: Georgia, &#39;DejaVu Serif&#39;, serif; font-style:italic">(LegacyInputIterator)</span></a> &#30340;&#35201;&#27714;&#12290;</td>
</tr>
<tr class="t-par-req">
<td colspan="3">-
<div class="spacer"></div>
<code>OutputIt</code> &#24517;&#39035;&#28385;&#36275;<a href="cpp-named_req-OutputIterator.html"><span style="font-style:italic">&#32769;&#24335;&#36755;&#20986;&#36845;&#20195;&#22120;</span> <span style="font-family: Georgia, &#39;DejaVu Serif&#39;, serif; font-style:italic">(LegacyOutputIterator)</span></a> &#30340;&#35201;&#27714;&#12290;</td>
</tr>
</table>
<h3><span class="mw-headline" id=".E8.BF.94.E5.9B.9E.E5.80.BC">&#36820;&#22238;&#20540;</span></h3>
<p>&#25351;&#21521;&#26368;&#21518;&#34987;&#20889;&#20837;&#20803;&#32032;&#21518;&#19968;&#20803;&#32032;&#30340;&#36845;&#20195;&#22120;&#12290;</p>
<h3><span class="mw-headline" id=".E5.A4.8D.E6.9D.82.E5.BA.A6">&#22797;&#26434;&#24230;</span></h3>
<p>&#24688;&#22909;&#24212;&#29992; <code>(last - first) - 1</code> &#27425;&#20108;&#20803;&#36816;&#31639;</p>
<h3><span class="mw-headline" id=".E5.8F.AF.E8.83.BD.E7.9A.84.E5.AE.9E.E7.8E.B0">&#21487;&#33021;&#30340;&#23454;&#29616;</span></h3>
<table class="eq-fun-cpp-table">
<tr>
<th>&#29256;&#26412;&#19968;</th>
</tr>
<tr>
<td>
<div dir="ltr" class="mw-geshi" style="text-align: left;">
<div class="cpp source-cpp">
<pre class="de1"><span class="kw1">template</span><span class="sy1">&lt;</span><span class="kw1">class</span> InputIt, <span class="kw1">class</span> OutputIt<span class="sy1">&gt;</span>
<span class="kw4">constexpr</span> <span class="co1">// C++20 &#36215;</span>
OutputIt partial_sum<span class="br0">(</span>InputIt first, InputIt last,
OutputIt d_first<span class="br0">)</span>
<span class="br0">{</span>
<span class="kw1">if</span> <span class="br0">(</span>first <span class="sy1">==</span> last<span class="br0">)</span> <span class="kw1">return</span> d_first<span class="sy4">;</span>
<span class="kw1">typename</span> <a href="cpp-iterator-iterator_traits.html"><span class="kw651">std::<span class="me2">iterator_traits</span></span></a><span class="sy1">&lt;</span>InputIt<span class="sy1">&gt;</span><span class="sy4">::</span><span class="me2">value_type</span> sum <span class="sy1">=</span> <span class="sy2">*</span>first<span class="sy4">;</span>
<span class="sy2">*</span>d_first <span class="sy1">=</span> sum<span class="sy4">;</span>
<span class="kw1">while</span> <span class="br0">(</span><span class="sy2">++</span>first <span class="sy3">!</span><span class="sy1">=</span> last<span class="br0">)</span> <span class="br0">{</span>
sum <span class="sy1">=</span> std<span class="sy4">::</span><span class="me2">move</span><span class="br0">(</span>sum<span class="br0">)</span> <span class="sy2">+</span> <span class="sy2">*</span>first<span class="sy4">;</span> <span class="co1">// C++20 &#36215;&#26377; std::move</span>
<span class="sy2">*++</span>d_first <span class="sy1">=</span> sum<span class="sy4">;</span>
<span class="br0">}</span>
<span class="kw1">return</span> <span class="sy2">++</span>d_first<span class="sy4">;</span>
<span class="co1">// &#25110; C++14 &#36215;&#65306;</span>
<span class="co1">// return std::partial_sum(first, last, d_first, std::plus&lt;&gt;());</span>
<span class="br0">}</span></pre></div>
</div>
</td>
</tr>
<tr>
<th>&#29256;&#26412;&#20108;</th>
</tr>
<tr>
<td>
<div dir="ltr" class="mw-geshi" style="text-align: left;">
<div class="cpp source-cpp">
<pre class="de1"><span class="kw1">template</span><span class="sy1">&lt;</span><span class="kw1">class</span> InputIt, <span class="kw1">class</span> OutputIt, <span class="kw1">class</span> BinaryOperation<span class="sy1">&gt;</span>
<span class="kw4">constexpr</span> <span class="co1">// C++20 &#36215;</span>
OutputIt partial_sum<span class="br0">(</span>InputIt first, InputIt last,
OutputIt d_first, BinaryOperation op<span class="br0">)</span>
<span class="br0">{</span>
<span class="kw1">if</span> <span class="br0">(</span>first <span class="sy1">==</span> last<span class="br0">)</span> <span class="kw1">return</span> d_first<span class="sy4">;</span>
<span class="kw1">typename</span> <a href="cpp-iterator-iterator_traits.html"><span class="kw651">std::<span class="me2">iterator_traits</span></span></a><span class="sy1">&lt;</span>InputIt<span class="sy1">&gt;</span><span class="sy4">::</span><span class="me2">value_type</span> sum <span class="sy1">=</span> <span class="sy2">*</span>first<span class="sy4">;</span>
<span class="sy2">*</span>d_first <span class="sy1">=</span> sum<span class="sy4">;</span>
<span class="kw1">while</span> <span class="br0">(</span><span class="sy2">++</span>first <span class="sy3">!</span><span class="sy1">=</span> last<span class="br0">)</span> <span class="br0">{</span>
sum <span class="sy1">=</span> op<span class="br0">(</span>std<span class="sy4">::</span><span class="me2">move</span><span class="br0">(</span>sum<span class="br0">)</span>, <span class="sy2">*</span>first<span class="br0">)</span><span class="sy4">;</span> <span class="co1">// C++20 &#36215;&#26377; std::move</span>
<span class="sy2">*++</span>d_first <span class="sy1">=</span> sum<span class="sy4">;</span>
<span class="br0">}</span>
<span class="kw1">return</span> <span class="sy2">++</span>d_first<span class="sy4">;</span>
<span class="br0">}</span></pre></div>
</div>
</td>
</tr>
</table>
<h3><span class="mw-headline" id=".E7.A4.BA.E4.BE.8B">&#31034;&#20363;</span></h3>
<div class="t-example">
<div class="t-example-live-link"></div>
<div dir="ltr" class="mw-geshi" style="text-align: left;">
<div class="cpp source-cpp">
<pre class="de1"><span class="co2">#include &lt;numeric&gt;</span>
<span class="co2">#include &lt;vector&gt;</span>
<span class="co2">#include &lt;iostream&gt;</span>
<span class="co2">#include &lt;iterator&gt;</span>
<span class="co2">#include &lt;functional&gt;</span>
<span class="kw4">int</span> main<span class="br0">(</span><span class="br0">)</span>
<span class="br0">{</span>
<a href="cpp-container-vector.html"><span class="kw1269">std::<span class="me2">vector</span></span></a><span class="sy1">&lt;</span><span class="kw4">int</span><span class="sy1">&gt;</span> v <span class="sy1">=</span> <span class="br0">{</span><span class="nu0">2</span>, <span class="nu0">2</span>, <span class="nu0">2</span>, <span class="nu0">2</span>, <span class="nu0">2</span>, <span class="nu0">2</span>, <span class="nu0">2</span>, <span class="nu0">2</span>, <span class="nu0">2</span>, <span class="nu0">2</span><span class="br0">}</span><span class="sy4">;</span> <span class="co1">// &#25110; std::vector&lt;int&gt;v(10, 2);</span>
<a href="cpp-io-cout.html"><span class="kw1757">std::<span class="me2">cout</span></span></a> <span class="sy1">&lt;&lt;</span> <span class="st0">&quot;The first 10 even numbers are: &quot;</span><span class="sy4">;</span>
std<span class="sy4">::</span><span class="me2">partial_sum</span><span class="br0">(</span>v.<span class="me1">begin</span><span class="br0">(</span><span class="br0">)</span>, v.<span class="me1">end</span><span class="br0">(</span><span class="br0">)</span>,
<a href="cpp-iterator-ostream_iterator.html"><span class="kw670">std::<span class="me2">ostream_iterator</span></span></a><span class="sy1">&lt;</span><span class="kw4">int</span><span class="sy1">&gt;</span><span class="br0">(</span><a href="cpp-io-cout.html"><span class="kw1757">std::<span class="me2">cout</span></span></a>, <span class="st0">&quot; &quot;</span><span class="br0">)</span><span class="br0">)</span><span class="sy4">;</span>
<a href="cpp-io-cout.html"><span class="kw1757">std::<span class="me2">cout</span></span></a> <span class="sy1">&lt;&lt;</span> <span class="st0">&#39;<span class="es1">\n</span>&#39;</span><span class="sy4">;</span>
std<span class="sy4">::</span><span class="me2">partial_sum</span><span class="br0">(</span>v.<span class="me1">begin</span><span class="br0">(</span><span class="br0">)</span>, v.<span class="me1">end</span><span class="br0">(</span><span class="br0">)</span>, v.<span class="me1">begin</span><span class="br0">(</span><span class="br0">)</span>, <a href="cpp-utility-functional-multiplies.html"><span class="kw1031">std::<span class="me2">multiplies</span></span></a><span class="sy1">&lt;</span><span class="kw4">int</span><span class="sy1">&gt;</span><span class="br0">(</span><span class="br0">)</span><span class="br0">)</span><span class="sy4">;</span>
<a href="cpp-io-cout.html"><span class="kw1757">std::<span class="me2">cout</span></span></a> <span class="sy1">&lt;&lt;</span> <span class="st0">&quot;The first 10 powers of 2 are: &quot;</span><span class="sy4">;</span>
<span class="kw1">for</span> <span class="br0">(</span><span class="kw4">auto</span> n <span class="sy4">:</span> v<span class="br0">)</span> <span class="br0">{</span>
<a href="cpp-io-cout.html"><span class="kw1757">std::<span class="me2">cout</span></span></a> <span class="sy1">&lt;&lt;</span> n <span class="sy1">&lt;&lt;</span> <span class="st0">&quot; &quot;</span><span class="sy4">;</span>
<span class="br0">}</span>
<a href="cpp-io-cout.html"><span class="kw1757">std::<span class="me2">cout</span></span></a> <span class="sy1">&lt;&lt;</span> <span class="st0">&#39;<span class="es1">\n</span>&#39;</span><span class="sy4">;</span>
<span class="br0">}</span></pre></div>
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<p>&#36755;&#20986;&#65306;</p>
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<pre class="de1">The first 10 even numbers are: 2 4 6 8 10 12 14 16 18 20
The first 10 powers of 2 are: 2 4 8 16 32 64 128 256 512 1024</pre></div>
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<h3><span class="mw-headline" id=".E5.8F.82.E9.98.85">&#21442;&#38405;</span></h3>
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<div><a href="cpp-algorithm-adjacent_difference.html"><span class="t-lines"><span>adjacent_difference</span></span></a></div>
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<td>&#35745;&#31639;&#33539;&#22260;&#20869;&#21508;&#30456;&#37051;&#20803;&#32032;&#20043;&#38388;&#30340;&#24046;<br />
<span class="t-mark">(&#20989;&#25968;&#27169;&#26495;)</span></td>
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<div><a href="cpp-algorithm-accumulate.html"><span class="t-lines"><span>accumulate</span></span></a></div>
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<td>&#23545;&#19968;&#20010;&#33539;&#22260;&#20869;&#30340;&#20803;&#32032;&#27714;&#21644;<br />
<span class="t-mark">(&#20989;&#25968;&#27169;&#26495;)</span></td>
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<div><a href="cpp-algorithm-inclusive_scan.html"><span class="t-lines"><span>inclusive_scan</span></span></a></div>
<div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span></span></div>
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<td>&#31867;&#20284; <span class="t-lc"><strong class="selflink">std::partial_sum</strong></span>&#65292;&#31532; i &#20010;&#21644;&#20013;&#21253;&#21547;&#31532; i &#20010;&#36755;&#20837;<br />
<span class="t-mark">(&#20989;&#25968;&#27169;&#26495;)</span></td>
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<div><a href="cpp-algorithm-exclusive_scan.html"><span class="t-lines"><span>exclusive_scan</span></span></a></div>
<div><span class="t-lines"><span><span class="t-mark-rev t-since-cxx17">(C++17)</span></span></span></div>
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<td>&#31867;&#20284; <span class="t-lc"><strong class="selflink">std::partial_sum</strong></span>&#65292;&#31532; i &#20010;&#21644;&#20013;&#25490;&#38500;&#31532; i &#20010;&#36755;&#20837;<br />
<span class="t-mark">(&#20989;&#25968;&#27169;&#26495;)</span></td>
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