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41179 | 41179 | <ul class="md-nav__list">
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41180 | 41180 |
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41181 | 41181 | <li class="md-nav__item">
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41182 |
| - <a href="#solution-1" class="md-nav__link"> |
| 41182 | + <a href="#solution-1-enumeration" class="md-nav__link"> |
41183 | 41183 | <span class="md-ellipsis">
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41184 |
| - Solution 1 |
| 41184 | + Solution 1: Enumeration |
41185 | 41185 | </span>
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41186 | 41186 | </a>
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@@ -86211,8 +86211,11 @@ <h2 id="description">Description</h2>
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86211 | 86211 | <h2 id="solutions">Solutions</h2>
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86212 | 86212 | <!-- solution:start -->
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86213 | 86213 |
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86214 |
| -<h3 id="solution-1">Solution 1</h3> |
86215 |
| -<div class="tabbed-set tabbed-alternate" data-tabs="1:4"><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" /><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></div> |
| 86214 | +<h3 id="solution-1-enumeration">Solution 1: Enumeration</h3> |
| 86215 | +<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> |
| 86216 | +<p>After enumerating all possible triplets, we get the answer.</p> |
| 86217 | +<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> |
| 86218 | +<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> |
86216 | 86219 | <div class="tabbed-content">
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86217 | 86220 | <div class="tabbed-block">
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86218 | 86221 | <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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@@ -86350,6 +86353,44 @@ <h3 id="solution-1">Solution 1</h3>
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86350 | 86353 | <span class="p">}</span>
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86351 | 86354 | </code></pre></div></td></tr></table></div>
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86352 | 86355 | </div>
|
| 86356 | +<div class="tabbed-block"> |
| 86357 | +<div class="highlight"><table class="highlighttable"><tr><td class="linenos"><div class="linenodiv"><pre><span></span><span class="normal"> 1</span> |
| 86358 | +<span class="normal"> 2</span> |
| 86359 | +<span class="normal"> 3</span> |
| 86360 | +<span class="normal"> 4</span> |
| 86361 | +<span class="normal"> 5</span> |
| 86362 | +<span class="normal"> 6</span> |
| 86363 | +<span class="normal"> 7</span> |
| 86364 | +<span class="normal"> 8</span> |
| 86365 | +<span class="normal"> 9</span> |
| 86366 | +<span class="normal">10</span> |
| 86367 | +<span class="normal">11</span> |
| 86368 | +<span class="normal">12</span> |
| 86369 | +<span class="normal">13</span> |
| 86370 | +<span class="normal">14</span> |
| 86371 | +<span class="normal">15</span> |
| 86372 | +<span class="normal">16</span> |
| 86373 | +<span class="normal">17</span> |
| 86374 | +<span class="normal">18</span></pre></div></td><td class="code"><div><pre><span></span><code><span class="kd">function</span><span class="w"> </span><span class="nx">countGoodTriplets</span><span class="p">(</span><span class="nx">arr</span><span class="o">:</span><span class="w"> </span><span class="kt">number</span><span class="p">[],</span><span class="w"> </span><span class="nx">a</span><span class="o">:</span><span class="w"> </span><span class="kt">number</span><span class="p">,</span><span class="w"> </span><span class="nx">b</span><span class="o">:</span><span class="w"> </span><span class="kt">number</span><span class="p">,</span><span class="w"> </span><span class="nx">c</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> |
| 86375 | +<span class="w"> </span><span class="kd">let</span><span class="w"> </span><span class="nx">n</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nx">arr</span><span class="p">.</span><span class="nx">length</span><span class="p">;</span> |
| 86376 | +<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> |
| 86377 | +<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">0</span><span class="p">;</span><span class="w"> </span><span class="nx">i</span><span class="w"> </span><span class="o"><</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> |
| 86378 | +<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">j</span><span class="w"> </span><span class="o">=</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">j</span><span class="w"> </span><span class="o"><</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">j</span><span class="p">)</span><span class="w"> </span><span class="p">{</span> |
| 86379 | +<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">k</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nx">j</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">k</span><span class="w"> </span><span class="o"><</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">k</span><span class="p">)</span><span class="w"> </span><span class="p">{</span> |
| 86380 | +<span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span> |
| 86381 | +<span class="w"> </span><span class="nb">Math</span><span class="p">.</span><span class="nx">abs</span><span class="p">(</span><span class="nx">arr</span><span class="p">[</span><span class="nx">i</span><span class="p">]</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="nx">arr</span><span class="p">[</span><span class="nx">j</span><span class="p">])</span><span class="w"> </span><span class="o"><=</span><span class="w"> </span><span class="nx">a</span><span class="w"> </span><span class="o">&&</span> |
| 86382 | +<span class="w"> </span><span class="nb">Math</span><span class="p">.</span><span class="nx">abs</span><span class="p">(</span><span class="nx">arr</span><span class="p">[</span><span class="nx">j</span><span class="p">]</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="nx">arr</span><span class="p">[</span><span class="nx">k</span><span class="p">])</span><span class="w"> </span><span class="o"><=</span><span class="w"> </span><span class="nx">b</span><span class="w"> </span><span class="o">&&</span> |
| 86383 | +<span class="w"> </span><span class="nb">Math</span><span class="p">.</span><span class="nx">abs</span><span class="p">(</span><span class="nx">arr</span><span class="p">[</span><span class="nx">i</span><span class="p">]</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="nx">arr</span><span class="p">[</span><span class="nx">k</span><span class="p">])</span><span class="w"> </span><span class="o"><=</span><span class="w"> </span><span class="nx">c</span> |
| 86384 | +<span class="w"> </span><span class="p">)</span><span class="w"> </span><span class="p">{</span> |
| 86385 | +<span class="w"> </span><span class="o">++</span><span class="nx">ans</span><span class="p">;</span> |
| 86386 | +<span class="w"> </span><span class="p">}</span> |
| 86387 | +<span class="w"> </span><span class="p">}</span> |
| 86388 | +<span class="w"> </span><span class="p">}</span> |
| 86389 | +<span class="w"> </span><span class="p">}</span> |
| 86390 | +<span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="nx">ans</span><span class="p">;</span> |
| 86391 | +<span class="p">}</span> |
| 86392 | +</code></pre></div></td></tr></table></div> |
| 86393 | +</div> |
86353 | 86394 | </div>
|
86354 | 86395 | </div>
|
86355 | 86396 | <!-- solution:end -->
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