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en/lc/1422/index.html

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en/lc/1424/index.html

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<ul class="md-nav__list">
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<li class="md-nav__item">
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<a href="#solution-1" class="md-nav__link">
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<a href="#solution-1-sorting" class="md-nav__link">
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<span class="md-ellipsis">
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Solution 1
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Solution 1: Sorting
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@@ -78089,8 +78089,16 @@ <h2 id="description">Description</h2>
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<h2 id="solutions">Solutions</h2>
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<!-- solution:start -->
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<h3 id="solution-1">Solution 1</h3>
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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">C#</label></div>
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<h3 id="solution-1-sorting">Solution 1: Sorting</h3>
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<p>We observe that:</p>
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<ul>
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<li>The value of $i + j$ is the same for each diagonal;</li>
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<li>The value of $i + j$ for the next diagonal is greater than that of the previous diagonal;</li>
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<li>Within the same diagonal, the value of $i + j$ is the same, and the value of $j$ increases from small to large.</li>
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</ul>
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<p>Therefore, we store all numbers in the form of $(i, j, \textit{nums}[i][j])$ into $\textit{arr}$, and then sort according to the first two items. Finally, return the array composed of the values at index 2 of all elements in $\textit{arr}$.</p>
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<p>The time complexity is $O(n \times \log n)$, where $n$ is the number of elements in the array $\textit{nums}$. The space complexity is $O(n)$.</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">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>
@@ -78230,6 +78238,28 @@ <h3 id="solution-1">Solution 1</h3>
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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></pre></div></td><td class="code"><div><pre><span></span><code><span class="kd">function</span><span class="w"> </span><span class="nx">findDiagonalOrder</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>
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<span class="w"> </span><span class="kd">const</span><span class="w"> </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="o">=</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="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">&lt;</span><span class="w"> </span><span class="nx">nums</span><span class="p">.</span><span class="nx">length</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>
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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">j</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">j</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="nx">nums</span><span class="p">[</span><span class="nx">i</span><span class="p">].</span><span class="nx">length</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>
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<span class="w"> </span><span class="nx">arr</span><span class="p">.</span><span class="nx">push</span><span class="p">([</span><span class="nx">i</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="nx">j</span><span class="p">,</span><span class="w"> </span><span class="nx">j</span><span class="p">,</span><span class="w"> </span><span class="nx">nums</span><span class="p">[</span><span class="nx">i</span><span class="p">][</span><span class="nx">j</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="nx">arr</span><span class="p">.</span><span class="nx">sort</span><span class="p">((</span><span class="nx">a</span><span class="p">,</span><span class="w"> </span><span class="nx">b</span><span class="p">)</span><span class="w"> </span><span class="p">=&gt;</span><span class="w"> </span><span class="p">(</span><span class="nx">a</span><span class="p">[</span><span class="mf">0</span><span class="p">]</span><span class="w"> </span><span class="o">===</span><span class="w"> </span><span class="nx">b</span><span class="p">[</span><span class="mf">0</span><span class="p">]</span><span class="w"> </span><span class="o">?</span><span class="w"> </span><span class="nx">a</span><span class="p">[</span><span class="mf">1</span><span class="p">]</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="nx">b</span><span class="p">[</span><span class="mf">1</span><span class="p">]</span><span class="w"> </span><span class="o">:</span><span class="w"> </span><span class="nx">a</span><span class="p">[</span><span class="mf">0</span><span class="p">]</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="nx">b</span><span class="p">[</span><span class="mf">0</span><span class="p">]));</span>
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<span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="nx">arr</span><span class="p">.</span><span class="nx">map</span><span class="p">(</span><span class="nx">x</span><span class="w"> </span><span class="p">=&gt;</span><span class="w"> </span><span class="nx">x</span><span class="p">[</span><span class="mf">2</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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