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en/lc/598/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-brain-teaser" class="md-nav__link">
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<span class="md-ellipsis">
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Solution 1
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Solution 1: Brain Teaser
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</span>
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</a>
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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="1:4"><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>
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<h3 id="solution-1-brain-teaser">Solution 1: Brain Teaser</h3>
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<p>We notice that the intersection of all operation submatrices is the submatrix where the final maximum integer is located, and each operation submatrix starts from the top-left corner $(0, 0)$. Therefore, we traverse all operation submatrices to find the minimum number of rows and columns. Finally, we return the product of these two values.</p>
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<p>Note that if the operation array is empty, the number of maximum integers in the matrix is $m \times n$.</p>
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<p>The time complexity is $O(k)$, where $k$ is the length of the operation array $\textit{ops}$. The space complexity is $O(1)$.</p>
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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">JavaScript</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">10</span></pre></div></td><td class="code"><div><pre><span></span><code><span class="k">class</span><span class="w"> </span><span class="nc">Solution</span><span class="w"> </span><span class="p">{</span>
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<span class="k">public</span><span class="o">:</span>
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<span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">maxCount</span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">m</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">n</span><span class="p">,</span><span class="w"> </span><span class="n">vector</span><span class="o">&lt;</span><span class="n">vector</span><span class="o">&lt;</span><span class="kt">int</span><span class="o">&gt;&gt;&amp;</span><span class="w"> </span><span class="n">ops</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="k">auto</span><span class="w"> </span><span class="n">op</span><span class="w"> </span><span class="o">:</span><span class="w"> </span><span class="n">ops</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="k">const</span><span class="w"> </span><span class="k">auto</span><span class="o">&amp;</span><span class="w"> </span><span class="n">op</span><span class="w"> </span><span class="o">:</span><span class="w"> </span><span class="n">ops</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
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<span class="w"> </span><span class="n">m</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">min</span><span class="p">(</span><span class="n">m</span><span class="p">,</span><span class="w"> </span><span class="n">op</span><span class="p">[</span><span class="mi">0</span><span class="p">]);</span>
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<span class="w"> </span><span class="n">n</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">min</span><span class="p">(</span><span class="n">n</span><span class="p">,</span><span class="w"> </span><span class="n">op</span><span class="p">[</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="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">7</span></pre></div></td><td class="code"><div><pre><span></span><code><span class="kd">function</span><span class="w"> </span><span class="nx">maxCount</span><span class="p">(</span><span class="nx">m</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">n</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">ops</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="k">for</span><span class="w"> </span><span class="p">(</span><span class="kd">const</span><span class="w"> </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="k">of</span><span class="w"> </span><span class="nx">ops</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
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<span class="w"> </span><span class="nx">m</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nb">Math</span><span class="p">.</span><span class="nx">min</span><span class="p">(</span><span class="nx">m</span><span class="p">,</span><span class="w"> </span><span class="nx">a</span><span class="p">);</span>
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<span class="w"> </span><span class="nx">n</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nb">Math</span><span class="p">.</span><span class="nx">min</span><span class="p">(</span><span class="nx">n</span><span class="p">,</span><span class="w"> </span><span class="nx">b</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="k">return</span><span class="w"> </span><span class="nx">m</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="nx">n</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">9</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">max_count</span><span class="p">(</span><span class="k">mut</span><span class="w"> </span><span class="n">m</span><span class="p">:</span><span class="w"> </span><span class="kt">i32</span><span class="p">,</span><span class="w"> </span><span class="k">mut</span><span class="w"> </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="n">ops</span><span class="p">:</span><span class="w"> </span><span class="nb">Vec</span><span class="o">&lt;</span><span class="nb">Vec</span><span class="o">&lt;</span><span class="kt">i32</span><span class="o">&gt;&gt;</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="k">for</span><span class="w"> </span><span class="n">op</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="n">ops</span><span class="w"> </span><span class="p">{</span>
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<span class="w"> </span><span class="n">m</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">m</span><span class="p">.</span><span class="n">min</span><span class="p">(</span><span class="n">op</span><span class="p">[</span><span class="mi">0</span><span class="p">]);</span>
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<span class="w"> </span><span class="n">n</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">n</span><span class="p">.</span><span class="n">min</span><span class="p">(</span><span class="n">op</span><span class="p">[</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="n">m</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">n</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">13</span></pre></div></td><td class="code"><div><pre><span></span><code><span class="cm">/**</span>
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<span class="cm"> * @param {number} m</span>
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<span class="cm"> * @param {number} n</span>
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<span class="cm"> * @param {number[][]} ops</span>
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<span class="cm"> * @return {number}</span>
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<span class="cm"> */</span>
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<span class="kd">var</span><span class="w"> </span><span class="nx">maxCount</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="kd">function</span><span class="w"> </span><span class="p">(</span><span class="nx">m</span><span class="p">,</span><span class="w"> </span><span class="nx">n</span><span class="p">,</span><span class="w"> </span><span class="nx">ops</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">const</span><span class="w"> </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="k">of</span><span class="w"> </span><span class="nx">ops</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
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<span class="w"> </span><span class="nx">m</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nb">Math</span><span class="p">.</span><span class="nx">min</span><span class="p">(</span><span class="nx">m</span><span class="p">,</span><span class="w"> </span><span class="nx">a</span><span class="p">);</span>
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<span class="w"> </span><span class="nx">n</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nb">Math</span><span class="p">.</span><span class="nx">min</span><span class="p">(</span><span class="nx">n</span><span class="p">,</span><span class="w"> </span><span class="nx">b</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="k">return</span><span class="w"> </span><span class="nx">m</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="nx">n</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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<!-- solution:end -->

en/search/search_index.json

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