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en/lc/1534/index.html

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@@ -91510,7 +91510,7 @@ <h3 id="solution-1-enumeration">Solution 1: Enumeration</h3>
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<p>We can enumerate all <span class="arithmatex">\(i\)</span>, <span class="arithmatex">\(j\)</span>, and <span class="arithmatex">\(k\)</span> where <span class="arithmatex">\(i \lt j \lt k\)</span>, and check if they simultaneously satisfy <span class="arithmatex">\(|\textit{arr}[i] - \textit{arr}[j]| \le a\)</span>, <span class="arithmatex">\(|\textit{arr}[j] - \textit{arr}[k]| \le b\)</span>, and <span class="arithmatex">\(|\textit{arr}[i] - \textit{arr}[k]| \le c\)</span>. If they do, we increment the answer by one.</p>
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<p>After enumerating all possible triplets, we get the answer.</p>
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<p>The time complexity is <span class="arithmatex">\(O(n^3)\)</span>, where <span class="arithmatex">\(n\)</span> is the length of the array <span class="arithmatex">\(\textit{arr}\)</span>. The space complexity is <span class="arithmatex">\(O(1)\)</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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<div class="tabbed-set tabbed-alternate" data-tabs="1:7"><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" /><input id="__tabbed_1_7" 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><label for="__tabbed_1_7">C#</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>
@@ -91686,6 +91686,82 @@ <h3 id="solution-1-enumeration">Solution 1: Enumeration</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="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"> 2</span>
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<span class="normal"> 3</span>
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<span class="normal"> 4</span>
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<span class="normal"> 5</span>
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<span class="normal"> 6</span>
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<span class="normal"> 7</span>
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<span class="normal"> 8</span>
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<span class="normal"> 9</span>
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<span class="normal">10</span>
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<span class="normal">11</span>
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<span class="normal">12</span>
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<span class="normal">13</span>
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<span class="normal">14</span>
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<span class="normal">15</span>
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<span class="normal">16</span>
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<span class="normal">17</span>
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<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>
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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_good_triplets</span><span class="p">(</span><span class="n">arr</span><span class="p">:</span><span class="w"> </span><span class="nb">Vec</span><span class="o">&lt;</span><span class="kt">i32</span><span class="o">&gt;</span><span class="p">,</span><span class="w"> </span><span class="n">a</span><span class="p">:</span><span class="w"> </span><span class="kt">i32</span><span class="p">,</span><span class="w"> </span><span class="n">b</span><span class="p">:</span><span class="w"> </span><span class="kt">i32</span><span class="p">,</span><span class="w"> </span><span class="n">c</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="n">n</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">arr</span><span class="p">.</span><span class="n">len</span><span class="p">();</span>
91710+
<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="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>
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<span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="k">in</span><span class="w"> </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="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="k">for</span><span class="w"> </span><span class="n">k</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">+</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>
91715+
<span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">arr</span><span class="p">[</span><span class="n">i</span><span class="p">]</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">arr</span><span class="p">[</span><span class="n">j</span><span class="p">]).</span><span class="n">abs</span><span class="p">()</span><span class="w"> </span><span class="o">&lt;=</span><span class="w"> </span><span class="n">a</span><span class="w"> </span><span class="o">&amp;&amp;</span><span class="w"> </span><span class="p">(</span><span class="n">arr</span><span class="p">[</span><span class="n">j</span><span class="p">]</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">arr</span><span class="p">[</span><span class="n">k</span><span class="p">]).</span><span class="n">abs</span><span class="p">()</span><span class="w"> </span><span class="o">&lt;=</span><span class="w"> </span><span class="n">b</span><span class="w"> </span><span class="o">&amp;&amp;</span><span class="w"> </span><span class="p">(</span><span class="n">arr</span><span class="p">[</span><span class="n">i</span><span class="p">]</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">arr</span><span class="p">[</span><span class="n">k</span><span class="p">]).</span><span class="n">abs</span><span class="p">()</span><span class="w"> </span><span class="o">&lt;=</span><span class="w"> </span><span class="n">c</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="p">}</span>
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<span class="w"> </span><span class="p">}</span>
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91722+
<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 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"> 2</span>
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<span class="normal"> 3</span>
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<span class="normal"> 4</span>
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<span class="normal"> 5</span>
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<span class="normal"> 6</span>
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<span class="normal"> 7</span>
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<span class="normal"> 8</span>
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<span class="normal"> 9</span>
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<span class="normal">10</span>
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<span class="normal">11</span>
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<span class="normal">12</span>
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<span class="normal">13</span>
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<span class="normal">14</span>
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<span class="normal">15</span>
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<span class="normal">16</span>
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<span class="normal">17</span>
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<span class="normal">18</span></pre></div></td><td class="code"><div><pre><span></span><code><span class="k">public</span><span class="w"> </span><span class="k">class</span><span class="w"> </span><span class="nc">Solution</span><span class="w"> </span><span class="p">{</span>
91746+
<span class="w"> </span><span class="k">public</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="nf">CountGoodTriplets</span><span class="p">(</span><span class="kt">int</span><span class="p">[]</span><span class="w"> </span><span class="n">arr</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">a</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">b</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">c</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
91747+
<span class="w"> </span><span class="kt">int</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">arr</span><span class="p">.</span><span class="n">Length</span><span class="p">;</span>
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<span class="w"> </span><span class="kt">int</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>
91749+
91750+
<span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="n">n</span><span class="p">;</span><span class="w"> </span><span class="o">++</span><span class="n">i</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
91751+
<span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">=</span><span class="w"> </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">j</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="n">n</span><span class="p">;</span><span class="w"> </span><span class="o">++</span><span class="n">j</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
91752+
<span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">k</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">j</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">k</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="n">n</span><span class="p">;</span><span class="w"> </span><span class="o">++</span><span class="n">k</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
91753+
<span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">Math</span><span class="p">.</span><span class="n">Abs</span><span class="p">(</span><span class="n">arr</span><span class="p">[</span><span class="n">i</span><span class="p">]</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">arr</span><span class="p">[</span><span class="n">j</span><span class="p">])</span><span class="w"> </span><span class="o">&lt;=</span><span class="w"> </span><span class="n">a</span><span class="w"> </span><span class="o">&amp;&amp;</span><span class="w"> </span><span class="n">Math</span><span class="p">.</span><span class="n">Abs</span><span class="p">(</span><span class="n">arr</span><span class="p">[</span><span class="n">j</span><span class="p">]</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">arr</span><span class="p">[</span><span class="n">k</span><span class="p">])</span><span class="w"> </span><span class="o">&lt;=</span><span class="w"> </span><span class="n">b</span><span class="w"> </span><span class="o">&amp;&amp;</span><span class="w"> </span><span class="n">Math</span><span class="p">.</span><span class="n">Abs</span><span class="p">(</span><span class="n">arr</span><span class="p">[</span><span class="n">i</span><span class="p">]</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">arr</span><span class="p">[</span><span class="n">k</span><span class="p">])</span><span class="w"> </span><span class="o">&lt;=</span><span class="w"> </span><span class="n">c</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
91754+
<span class="w"> </span><span class="o">++</span><span class="n">ans</span><span class="p">;</span>
91755+
<span class="w"> </span><span class="p">}</span>
91756+
<span class="w"> </span><span class="p">}</span>
91757+
<span class="w"> </span><span class="p">}</span>
91758+
<span class="w"> </span><span class="p">}</span>
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<span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">ans</span><span class="p">;</span>
91761+
<span class="w"> </span><span class="p">}</span>
91762+
<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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<!-- solution:end -->

en/search/search_index.json

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