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en/lc/1399/index.html

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@@ -91651,8 +91651,8 @@ <h3 id="solution-1-hash-table-or-array">Solution 1: Hash Table or Array</h3>
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<p>We note that the number does not exceed <span class="arithmatex">\(10^4\)</span>, so the sum of the digits also does not exceed <span class="arithmatex">\(9 \times 4 = 36\)</span>. Therefore, we can use a hash table or an array of length <span class="arithmatex">\(40\)</span>, denoted as <span class="arithmatex">\(cnt\)</span>, to count the number of each sum of digits, and use a variable <span class="arithmatex">\(mx\)</span> to represent the maximum count of the sum of digits.</p>
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<p>We enumerate each number in <span class="arithmatex">\([1,..n]\)</span>, calculate its sum of digits <span class="arithmatex">\(s\)</span>, then increment <span class="arithmatex">\(cnt[s]\)</span> by <span class="arithmatex">\(1\)</span>. If <span class="arithmatex">\(mx &lt; cnt[s]\)</span>, we update <span class="arithmatex">\(mx = cnt[s]\)</span> and set <span class="arithmatex">\(ans\)</span> to <span class="arithmatex">\(1\)</span>. If <span class="arithmatex">\(mx = cnt[s]\)</span>, we increment <span class="arithmatex">\(ans\)</span> by <span class="arithmatex">\(1\)</span>.</p>
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<p>Finally, we return <span class="arithmatex">\(ans\)</span>.</p>
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<p>The time complexity is <span class="arithmatex">\(O(n \times \log M)\)</span>, and the space complexity is <span class="arithmatex">\(O(\log M)\)</span>. Where <span class="arithmatex">\(n\)</span> is the given number, and <span class="arithmatex">\(M\)</span> is the range of <span class="arithmatex">\(n\)</span>.</p>
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<div class="tabbed-set tabbed-alternate" data-tabs="1:5"><input checked="checked" id="__tabbed_1_1" name="__tabbed_1" type="radio" /><input id="__tabbed_1_2" name="__tabbed_1" type="radio" /><input id="__tabbed_1_3" name="__tabbed_1" type="radio" /><input id="__tabbed_1_4" name="__tabbed_1" type="radio" /><input id="__tabbed_1_5" name="__tabbed_1" type="radio" /><div class="tabbed-labels"><label for="__tabbed_1_1">Python3</label><label for="__tabbed_1_2">Java</label><label for="__tabbed_1_3">C++</label><label for="__tabbed_1_4">Go</label><label for="__tabbed_1_5">TypeScript</label></div>
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<p>The time complexity is <span class="arithmatex">\(O(n \times \log n)\)</span>, and the space complexity is <span class="arithmatex">\(O(\log n)\)</span>, where <span class="arithmatex">\(n\)</span> is the given number.</p>
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<div class="tabbed-set tabbed-alternate" data-tabs="1:6"><input checked="checked" id="__tabbed_1_1" name="__tabbed_1" type="radio" /><input id="__tabbed_1_2" name="__tabbed_1" type="radio" /><input id="__tabbed_1_3" name="__tabbed_1" type="radio" /><input id="__tabbed_1_4" name="__tabbed_1" type="radio" /><input id="__tabbed_1_5" name="__tabbed_1" type="radio" /><input id="__tabbed_1_6" name="__tabbed_1" type="radio" /><div class="tabbed-labels"><label for="__tabbed_1_1">Python3</label><label for="__tabbed_1_2">Java</label><label for="__tabbed_1_3">C++</label><label for="__tabbed_1_4">Go</label><label for="__tabbed_1_5">TypeScript</label><label for="__tabbed_1_6">Rust</label></div>
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<div class="tabbed-content">
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<div class="tabbed-block">
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<div class="highlight"><table class="highlighttable"><tr><td class="linenos"><div class="linenodiv"><pre><span></span><span class="normal"> 1</span>
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<span class="normal">17</span>
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<span class="normal">19</span></pre></div></td><td class="code"><div><pre><span></span><code><span class="kd">function</span><span class="w"> </span><span class="nx">countLargestGroup</span><span class="p">(</span><span class="nx">n</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="w"> </span><span class="p">{</span>
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<span class="w"> </span><span class="kd">const</span><span class="w"> </span><span class="nx">cnt</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="ow">new</span><span class="w"> </span><span class="nb">Array</span><span class="p">(</span><span class="mf">40</span><span class="p">).</span><span class="nx">fill</span><span class="p">(</span><span class="mf">0</span><span class="p">);</span>
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<span class="w"> </span><span class="kd">const</span><span class="w"> </span><span class="nx">cnt</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="nb">Array</span><span class="p">(</span><span class="mf">40</span><span class="p">).</span><span class="nx">fill</span><span class="p">(</span><span class="mf">0</span><span class="p">);</span>
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<span class="w"> </span><span class="kd">let</span><span class="w"> </span><span class="nx">mx</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mf">0</span><span class="p">;</span>
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<span class="w"> </span><span class="kd">let</span><span class="w"> </span><span class="nx">ans</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mf">0</span><span class="p">;</span>
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<span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kd">let</span><span class="w"> </span><span class="nx">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mf">1</span><span class="p">;</span><span class="w"> </span><span class="nx">i</span><span class="w"> </span><span class="o">&lt;=</span><span class="w"> </span><span class="nx">n</span><span class="p">;</span><span class="w"> </span><span class="o">++</span><span class="nx">i</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
@@ -91852,6 +91852,58 @@ <h3 id="solution-1-hash-table-or-array">Solution 1: Hash Table or Array</h3>
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<span class="p">}</span>
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</code></pre></div></td></tr></table></div>
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</div>
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<div class="highlight"><table class="highlighttable"><tr><td class="linenos"><div class="linenodiv"><pre><span></span><span class="normal"> 1</span>
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<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">count_largest_group</span><span class="p">(</span><span class="n">n</span><span class="p">:</span><span class="w"> </span><span class="kt">i32</span><span class="p">)</span><span class="w"> </span><span class="p">-&gt;</span><span class="w"> </span><span class="kt">i32</span><span class="w"> </span><span class="p">{</span>
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<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">cnt</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="fm">vec!</span><span class="p">[</span><span class="mi">0</span><span class="p">;</span><span class="w"> </span><span class="mi">40</span><span class="p">];</span>
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<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="mi">0</span><span class="p">;</span>
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<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">mx</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span>
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<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">1</span><span class="o">..=</span><span class="n">n</span><span class="w"> </span><span class="p">{</span>
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<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">s</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span>
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<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">x</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">i</span><span class="p">;</span>
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<span class="w"> </span><span class="k">while</span><span class="w"> </span><span class="n">x</span><span class="w"> </span><span class="o">&gt;</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="p">{</span>
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<span class="w"> </span><span class="n">s</span><span class="w"> </span><span class="o">+=</span><span class="w"> </span><span class="n">x</span><span class="w"> </span><span class="o">%</span><span class="w"> </span><span class="mi">10</span><span class="p">;</span>
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<span class="w"> </span><span class="n">x</span><span class="w"> </span><span class="o">/=</span><span class="w"> </span><span class="mi">10</span><span class="p">;</span>
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<span class="w"> </span><span class="p">}</span>
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<span class="w"> </span><span class="n">cnt</span><span class="p">[</span><span class="n">s</span><span class="w"> </span><span class="k">as</span><span class="w"> </span><span class="kt">usize</span><span class="p">]</span><span class="w"> </span><span class="o">+=</span><span class="w"> </span><span class="mi">1</span><span class="p">;</span>
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<span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="n">mx</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="n">cnt</span><span class="p">[</span><span class="n">s</span><span class="w"> </span><span class="k">as</span><span class="w"> </span><span class="kt">usize</span><span class="p">]</span><span class="w"> </span><span class="p">{</span>
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<span class="w"> </span><span class="n">mx</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">cnt</span><span class="p">[</span><span class="n">s</span><span class="w"> </span><span class="k">as</span><span class="w"> </span><span class="kt">usize</span><span class="p">];</span>
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<span class="w"> </span><span class="n">ans</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">1</span><span class="p">;</span>
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<span class="w"> </span><span class="p">}</span><span class="w"> </span><span class="k">else</span><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="n">mx</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">cnt</span><span class="p">[</span><span class="n">s</span><span class="w"> </span><span class="k">as</span><span class="w"> </span><span class="kt">usize</span><span class="p">]</span><span class="w"> </span><span class="p">{</span>
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<span class="w"> </span><span class="n">ans</span><span class="w"> </span><span class="o">+=</span><span class="w"> </span><span class="mi">1</span><span class="p">;</span>
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<span class="w"> </span><span class="p">}</span>
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<span class="w"> </span><span class="p">}</span>
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<span class="w"> </span><span class="n">ans</span>
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<span class="w"> </span><span class="p">}</span>
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<span class="p">}</span>
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</code></pre></div></td></tr></table></div>
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</div>
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</div>
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</div>
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