8991
8991
</span>
8992
8992
</a>
8993
8993
8994
- </li>
8995
-
8996
- <li class="md-nav__item">
8997
- <a href="#solution-3" class="md-nav__link">
8998
- <span class="md-ellipsis">
8999
- Solution 3
9000
- </span>
9001
- </a>
9002
-
9003
8994
</li>
9004
8995
9005
8996
</ul>
@@ -81796,21 +81787,21 @@ <h3 id="solution-1-dfs-backtracking">Solution 1: DFS (Backtracking)</h3>
81796
81787
<span class="normal">16</span>
81797
81788
<span class="normal">17</span>
81798
81789
<span class="normal">18</span></pre></div></td><td class="code"><div><pre><span></span><code><span class="k">impl</span><span class="w"> </span><span class="n">Solution</span><span class="w"> </span><span class="p">{</span>
81799
- <span class="w"> </span><span class="k">fn</span><span class="w"> </span><span class="nf">dfs</span><span class="p">(</span><span class="n">i</span><span class="p">:</span><span class="w"> </span><span class="kt">usize</span><span class="p">,</span><span class="w"> </span><span class="n">t</span><span class="p">:</span><span class="w"> </span><span class="kp">&</span><span class="nc">mut</span><span class="w"> </span><span class="nb">Vec</span><span class="o"><</span><span class="kt">i32</span><span class="o">></span><span class="p">,</span><span class="w"> </span><span class="n">res</span><span class="p">:</span><span class="w"> </span><span class="kp">&</span><span class="nc">mut</span><span class="w"> </span><span class="nb">Vec</span><span class="o"><</span><span class="nb">Vec</span><span class="o"><</span><span class="kt">i32</span><span class="o">>></span><span class="p">,</span><span class="w"> </span><span class="n">nums</span><span class="p">:</span><span class="w"> </span><span class="kp">&</span><span class="nb">Vec</span><span class="o"><</span><span class="kt">i32</span><span class="o">></span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
81790
+ <span class="w"> </span><span class="k">fn</span><span class="w"> </span><span class="nf">dfs</span><span class="p">(</span><span class="n">i</span><span class="p">:</span><span class="w"> </span><span class="kt">usize</span><span class="p">,</span><span class="w"> </span><span class="n">t</span><span class="p">:</span><span class="w"> </span><span class="kp">&</span><span class="nc">mut</span><span class="w"> </span><span class="nb">Vec</span><span class="o"><</span><span class="kt">i32</span><span class="o">></span><span class="p">,</span><span class="w"> </span><span class="n">ans</span><span class="p">:</span><span class="w"> </span><span class="kp">&</span><span class="nc">mut</span><span class="w"> </span><span class="nb">Vec</span><span class="o"><</span><span class="nb">Vec</span><span class="o"><</span><span class="kt">i32</span><span class="o">>></span><span class="p">,</span><span class="w"> </span><span class="n">nums</span><span class="p">:</span><span class="w"> </span><span class="kp">&</span><span class="nb">Vec</span><span class="o"><</span><span class="kt">i32</span><span class="o">></span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
81800
81791
<span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">nums</span><span class="p">.</span><span class="n">len</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
81801
- <span class="w"> </span><span class="n">res </span><span class="p">.</span><span class="n">push</span><span class="p">(</span><span class="n">t</span><span class="p">.</span><span class="n">clone</span><span class="p">());</span>
81792
+ <span class="w"> </span><span class="n">ans </span><span class="p">.</span><span class="n">push</span><span class="p">(</span><span class="n">t</span><span class="p">.</span><span class="n">clone</span><span class="p">());</span>
81802
81793
<span class="w"> </span><span class="k">return</span><span class="p">;</span>
81803
81794
<span class="w"> </span><span class="p">}</span>
81804
- <span class="w"> </span><span class="bp">Self</span><span class="p">::</span><span class="n">dfs</span><span class="p">(</span><span class="n">i</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="mi">1</span><span class="p">,</span><span class="w"> </span><span class="n">t</span><span class="p">,</span><span class="w"> </span><span class="n">res </span><span class="p">,</span><span class="w"> </span><span class="n">nums</span><span class="p">);</span>
81795
+ <span class="w"> </span><span class="bp">Self</span><span class="p">::</span><span class="n">dfs</span><span class="p">(</span><span class="n">i</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="mi">1</span><span class="p">,</span><span class="w"> </span><span class="n">t</span><span class="p">,</span><span class="w"> </span><span class="n">ans </span><span class="p">,</span><span class="w"> </span><span class="n">nums</span><span class="p">);</span>
81805
81796
<span class="w"> </span><span class="n">t</span><span class="p">.</span><span class="n">push</span><span class="p">(</span><span class="n">nums</span><span class="p">[</span><span class="n">i</span><span class="p">]);</span>
81806
- <span class="w"> </span><span class="bp">Self</span><span class="p">::</span><span class="n">dfs</span><span class="p">(</span><span class="n">i</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="mi">1</span><span class="p">,</span><span class="w"> </span><span class="n">t</span><span class="p">,</span><span class="w"> </span><span class="n">res </span><span class="p">,</span><span class="w"> </span><span class="n">nums</span><span class="p">);</span>
81797
+ <span class="w"> </span><span class="bp">Self</span><span class="p">::</span><span class="n">dfs</span><span class="p">(</span><span class="n">i</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="mi">1</span><span class="p">,</span><span class="w"> </span><span class="n">t</span><span class="p">,</span><span class="w"> </span><span class="n">ans </span><span class="p">,</span><span class="w"> </span><span class="n">nums</span><span class="p">);</span>
81807
81798
<span class="w"> </span><span class="n">t</span><span class="p">.</span><span class="n">pop</span><span class="p">();</span>
81808
81799
<span class="w"> </span><span class="p">}</span>
81809
81800
81810
81801
<span class="w"> </span><span class="k">pub</span><span class="w"> </span><span class="k">fn</span><span class="w"> </span><span class="nf">subsets</span><span class="p">(</span><span class="n">nums</span><span class="p">:</span><span class="w"> </span><span class="nb">Vec</span><span class="o"><</span><span class="kt">i32</span><span class="o">></span><span class="p">)</span><span class="w"> </span><span class="p">-></span><span class="w"> </span><span class="nb">Vec</span><span class="o"><</span><span class="nb">Vec</span><span class="o"><</span><span class="kt">i32</span><span class="o">>></span><span class="w"> </span><span class="p">{</span>
81811
- <span class="w"> </span><span class="kd">let</span><span class="w"> </span><span class="k">mut</span><span class="w"> </span><span class="n">res </span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nb">Vec</span><span class="p">::</span><span class="n">new</span><span class="p">();</span>
81812
- <span class="w"> </span><span class="bp">Self</span><span class="p">::</span><span class="n">dfs</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="w"> </span><span class="o">&</span><span class="k">mut</span><span class="w"> </span><span class="nb">Vec</span><span class="p">::</span><span class="n">new</span><span class="p">(),</span><span class="w"> </span><span class="o">&</span><span class="k">mut</span><span class="w"> </span><span class="n">res </span><span class="p">,</span><span class="w"> </span><span class="o">&</span><span class="n">nums</span><span class="p">);</span>
81813
- <span class="w"> </span><span class="n">res </span>
81802
+ <span class="w"> </span><span class="kd">let</span><span class="w"> </span><span class="k">mut</span><span class="w"> </span><span class="n">ans </span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nb">Vec</span><span class="p">::</span><span class="n">new</span><span class="p">();</span>
81803
+ <span class="w"> </span><span class="bp">Self</span><span class="p">::</span><span class="n">dfs</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="w"> </span><span class="o">&</span><span class="k">mut</span><span class="w"> </span><span class="nb">Vec</span><span class="p">::</span><span class="n">new</span><span class="p">(),</span><span class="w"> </span><span class="o">&</span><span class="k">mut</span><span class="w"> </span><span class="n">ans </span><span class="p">,</span><span class="w"> </span><span class="o">&</span><span class="n">nums</span><span class="p">);</span>
81804
+ <span class="w"> </span><span class="n">ans </span>
81814
81805
<span class="w"> </span><span class="p">}</span>
81815
81806
<span class="p">}</span>
81816
81807
</code></pre></div></td></tr></table></div>
@@ -81825,7 +81816,7 @@ <h3 id="solution-2-binary-enumeration">Solution 2: Binary Enumeration</h3>
81825
81816
<p>We can also use the method of binary enumeration to get all subsets.</p>
81826
81817
<p>We can use $2^n$ binary numbers to represent all subsets of $n$ elements. For the current binary number $mask$, if the $i$th bit is $1$, it means that the $i$th element is selected, otherwise it means that the $i$th element is not selected.</p>
81827
81818
<p>The time complexity is $O(n \times 2^n)$, and the space complexity is $O(n)$. Here, $n$ is the length of the array. There are a total of $2^n$ subsets, and each subset takes $O(n)$ time to construct.</p>
81828
- <div class="tabbed-set tabbed-alternate" data-tabs="2:5 "><input checked="checked" id="__tabbed_2_1" name="__tabbed_2" type="radio" /><input id="__tabbed_2_2" name="__tabbed_2" type="radio" /><input id="__tabbed_2_3" name="__tabbed_2" type="radio" /><input id="__tabbed_2_4" name="__tabbed_2" type="radio" /><input id="__tabbed_2_5" name="__tabbed_2" type="radio" /><div class="tabbed-labels"><label for="__tabbed_2_1">Python3</label><label for="__tabbed_2_2">Java</label><label for="__tabbed_2_3">C++</label><label for="__tabbed_2_4">Go</label><label for="__tabbed_2_5">TypeScript</label></div>
81819
+ <div class="tabbed-set tabbed-alternate" data-tabs="2:6 "><input checked="checked" id="__tabbed_2_1" name="__tabbed_2" type="radio" /><input id="__tabbed_2_2" name="__tabbed_2" type="radio" /><input id="__tabbed_2_3" name="__tabbed_2" type="radio" /><input id="__tabbed_2_4" name="__tabbed_2" type="radio" /><input id="__tabbed_2_5" name="__tabbed_2" type="radio" /><input id="__tabbed_2_6" name="__tabbed_2" type="radio" />< div class="tabbed-labels"><label for="__tabbed_2_1">Python3</label><label for="__tabbed_2_2">Java</label><label for="__tabbed_2_3">C++</label><label for="__tabbed_2_4">Go</label><label for="__tabbed_2_5">TypeScript</label><label for="__tabbed_2_6">Rust </label></div>
81829
81820
<div class="tabbed-content">
81830
81821
<div class="tabbed-block">
81831
81822
<div class="highlight"><table class="highlighttable"><tr><td class="linenos"><div class="linenodiv"><pre><span></span><span class="normal">1</span>
@@ -81971,30 +81962,37 @@ <h3 id="solution-2-binary-enumeration">Solution 2: Binary Enumeration</h3>
81971
81962
<span class="p">}</span>
81972
81963
</code></pre></div></td></tr></table></div>
81973
81964
</div>
81974
- </div>
81975
- </div>
81976
- <!-- solution:end -->
81977
-
81978
- <!-- solution:start -->
81979
-
81980
- <h3 id="solution-3">Solution 3</h3>
81981
- <div class="tabbed-set tabbed-alternate" data-tabs="3:1"><input checked="checked" id="__tabbed_3_1" name="__tabbed_3" type="radio" /><div class="tabbed-labels"><label for="__tabbed_3_1">TypeScript</label></div>
81982
- <div class="tabbed-content">
81983
81965
<div class="tabbed-block">
81984
- <div class="highlight"><table class="highlighttable"><tr><td class="linenos"><div class="linenodiv"><pre><span></span><span class="normal">1</span>
81985
- <span class="normal">2</span>
81986
- <span class="normal">3</span>
81987
- <span class="normal">4</span>
81988
- <span class="normal">5</span>
81989
- <span class="normal">6</span>
81990
- <span class="normal">7</span>
81991
- <span class="normal">8</span></pre></div></td><td class="code"><div><pre><span></span><code><span class="kd">function</span><span class="w"> </span><span class="nx">subsets</span><span class="p">(</span><span class="nx">nums</span><span class="o">:</span><span class="w"> </span><span class="kt">number</span><span class="p">[])</span><span class="o">:</span><span class="w"> </span><span class="kt">number</span><span class="p">[][]</span><span class="w"> </span><span class="p">{</span>
81992
- <span class="w"> </span><span class="kd">const</span><span class="w"> </span><span class="nx">res</span><span class="o">:</span><span class="w"> </span><span class="kt">number</span><span class="p">[][]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">[[]];</span>
81993
- <span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kd">const</span><span class="w"> </span><span class="nx">x</span><span class="w"> </span><span class="k">of</span><span class="w"> </span><span class="nx">nums</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
81994
- <span class="w"> </span><span class="nx">res</span><span class="p">.</span><span class="nx">push</span><span class="p">(...</span><span class="nx">res</span><span class="p">.</span><span class="nx">map</span><span class="p">(</span><span class="nx">arr</span><span class="w"> </span><span class="p">=></span><span class="w"> </span><span class="p">[...</span><span class="nx">arr</span><span class="p">,</span><span class="w"> </span><span class="nx">x</span><span class="p">]));</span>
81966
+ <div class="highlight"><table class="highlighttable"><tr><td class="linenos"><div class="linenodiv"><pre><span></span><span class="normal"> 1</span>
81967
+ <span class="normal"> 2</span>
81968
+ <span class="normal"> 3</span>
81969
+ <span class="normal"> 4</span>
81970
+ <span class="normal"> 5</span>
81971
+ <span class="normal"> 6</span>
81972
+ <span class="normal"> 7</span>
81973
+ <span class="normal"> 8</span>
81974
+ <span class="normal"> 9</span>
81975
+ <span class="normal">10</span>
81976
+ <span class="normal">11</span>
81977
+ <span class="normal">12</span>
81978
+ <span class="normal">13</span>
81979
+ <span class="normal">14</span>
81980
+ <span class="normal">15</span>
81981
+ <span class="normal">16</span></pre></div></td><td class="code"><div><pre><span></span><code><span class="k">impl</span><span class="w"> </span><span class="n">Solution</span><span class="w"> </span><span class="p">{</span>
81982
+ <span class="w"> </span><span class="k">pub</span><span class="w"> </span><span class="k">fn</span><span class="w"> </span><span class="nf">subsets</span><span class="p">(</span><span class="n">nums</span><span class="p">:</span><span class="w"> </span><span class="nb">Vec</span><span class="o"><</span><span class="kt">i32</span><span class="o">></span><span class="p">)</span><span class="w"> </span><span class="p">-></span><span class="w"> </span><span class="nb">Vec</span><span class="o"><</span><span class="nb">Vec</span><span class="o"><</span><span class="kt">i32</span><span class="o">>></span><span class="w"> </span><span class="p">{</span>
81983
+ <span class="w"> </span><span class="kd">let</span><span class="w"> </span><span class="n">n</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">nums</span><span class="p">.</span><span class="n">len</span><span class="p">();</span>
81984
+ <span class="w"> </span><span class="kd">let</span><span class="w"> </span><span class="k">mut</span><span class="w"> </span><span class="n">ans</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nb">Vec</span><span class="p">::</span><span class="n">new</span><span class="p">();</span>
81985
+ <span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="n">mask</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="mi">0</span><span class="o">..</span><span class="p">(</span><span class="mi">1</span><span class="w"> </span><span class="o"><<</span><span class="w"> </span><span class="n">n</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
81986
+ <span class="w"> </span><span class="kd">let</span><span class="w"> </span><span class="k">mut</span><span class="w"> </span><span class="n">t</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nb">Vec</span><span class="p">::</span><span class="n">new</span><span class="p">();</span>
81987
+ <span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="mi">0</span><span class="o">..</span><span class="n">n</span><span class="w"> </span><span class="p">{</span>
81988
+ <span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">mask</span><span class="w"> </span><span class="o">>></span><span class="w"> </span><span class="n">i</span><span class="p">)</span><span class="w"> </span><span class="o">&</span><span class="w"> </span><span class="mi">1</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="mi">1</span><span class="w"> </span><span class="p">{</span>
81989
+ <span class="w"> </span><span class="n">t</span><span class="p">.</span><span class="n">push</span><span class="p">(</span><span class="n">nums</span><span class="p">[</span><span class="n">i</span><span class="p">]);</span>
81990
+ <span class="w"> </span><span class="p">}</span>
81991
+ <span class="w"> </span><span class="p">}</span>
81992
+ <span class="w"> </span><span class="n">ans</span><span class="p">.</span><span class="n">push</span><span class="p">(</span><span class="n">t</span><span class="p">);</span>
81993
+ <span class="w"> </span><span class="p">}</span>
81994
+ <span class="w"> </span><span class="n">ans</span>
81995
81995
<span class="w"> </span><span class="p">}</span>
81996
-
81997
- <span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="nx">res</span><span class="p">;</span>
81998
81996
<span class="p">}</span>
81999
81997
</code></pre></div></td></tr></table></div>
82000
81998
</div>
@@ -82031,14 +82029,14 @@ <h3 id="solution-3">Solution 3</h3>
82031
82029
82032
82030
<nav>
82033
82031
82034
- <a href="https://github.com/rain84 " class="md-author" title="@rain84 ">
82032
+ <a href="https://github.com/yanglbme " class="md-author" title="@yanglbme ">
82035
82033
82036
- <img src="https://avatars.githubusercontent.com/u/1732547 ?v=4&size=72" alt="rain84 ">
82034
+ <img src="https://avatars.githubusercontent.com/u/21008209 ?v=4&size=72" alt="yanglbme ">
82037
82035
</a>
82038
82036
82039
- <a href="https://github.com/yanglbme " class="md-author" title="@yanglbme ">
82037
+ <a href="https://github.com/rain84 " class="md-author" title="@rain84 ">
82040
82038
82041
- <img src="https://avatars.githubusercontent.com/u/21008209 ?v=4&size=72" alt="yanglbme ">
82039
+ <img src="https://avatars.githubusercontent.com/u/1732547 ?v=4&size=72" alt="rain84 ">
82042
82040
</a>
82043
82041
82044
82042
<a href="https://github.com/YangFong" class="md-author" title="@YangFong">
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