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lc/2472/index.html

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@@ -85385,6 +85385,36 @@ <h3 id="_3">方法一:预处理 + 记忆化搜索</h3>
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<aside class="md-source-file">
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<span class="md-source-file__fact">
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<span class="md-icon" title="贡献者">
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<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24"><path d="M12 2A10 10 0 0 0 2 12c0 4.42 2.87 8.17 6.84 9.5.5.08.66-.23.66-.5v-1.69c-2.77.6-3.36-1.34-3.36-1.34-.46-1.16-1.11-1.47-1.11-1.47-.91-.62.07-.6.07-.6 1 .07 1.53 1.03 1.53 1.03.87 1.52 2.34 1.07 2.91.83.09-.65.35-1.09.63-1.34-2.22-.25-4.55-1.11-4.55-4.92 0-1.11.38-2 1.03-2.71-.1-.25-.45-1.29.1-2.64 0 0 .84-.27 2.75 1.02.79-.22 1.65-.33 2.5-.33s1.71.11 2.5.33c1.91-1.29 2.75-1.02 2.75-1.02.55 1.35.2 2.39.1 2.64.65.71 1.03 1.6 1.03 2.71 0 3.82-2.34 4.66-4.57 4.91.36.31.69.92.69 1.85V21c0 .27.16.59.67.5C19.14 20.16 22 16.42 22 12A10 10 0 0 0 12 2"/></svg>
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</span>
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<span>GitHub</span>
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<nav>
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<a href="https://github.com/yanglbme" class="md-author" title="@yanglbme">
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<img src="https://avatars.githubusercontent.com/u/21008209?v=4&size=72" alt="yanglbme">
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</a>
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</nav>
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</span>
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</aside>
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lcp/22/index.html

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@@ -84979,7 +84979,7 @@ <h3 id="_3">方法一:组合计数</h3>
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<p>我们可以选择涂黑 $n$ 行中的任意 $i$ 行,涂黑 $n$ 列中的任意 $j$ 列。那么涂黑的格子数为 $n \times (i + j) - i \times j$。如果满足 $n \times (i + j) - i \times j = k$,则方案数为 $\binom{n}{i} \times \binom{n}{j}$。累加所有满足条件的方案数即可。</p>
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<p>注意,如果 $k = n \times n$,则只有一种方案,直接返回 $1$ 即可。</p>
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<p>时间复杂度 $O(n^2)$,空间复杂度 $O(n^2)$。其中 $n$ 是网格的边长。</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="1:6"><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">Swift</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="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">30</span></pre></div></td><td class="code"><div><pre><span></span><code><span class="kd">class</span> <span class="nc">Solution</span> <span class="p">{</span>
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<span class="kd">func</span> <span class="nf">paintingPlan</span><span class="p">(</span><span class="kc">_</span> <span class="n">n</span><span class="p">:</span> <span class="nb">Int</span><span class="p">,</span> <span class="kc">_</span> <span class="n">k</span><span class="p">:</span> <span class="nb">Int</span><span class="p">)</span> <span class="p">-&gt;</span> <span class="nb">Int</span> <span class="p">{</span>
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<span class="k">if</span> <span class="n">k</span> <span class="p">==</span> <span class="mi">0</span> <span class="o">||</span> <span class="n">k</span> <span class="p">==</span> <span class="n">n</span> <span class="o">*</span> <span class="n">n</span> <span class="p">{</span>
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<span class="k">return</span> <span class="mi">1</span>
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<span class="p">}</span>
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<span class="kd">func</span> <span class="nf">combination</span><span class="p">(</span><span class="kc">_</span> <span class="n">n</span><span class="p">:</span> <span class="nb">Int</span><span class="p">,</span> <span class="kc">_</span> <span class="n">r</span><span class="p">:</span> <span class="nb">Int</span><span class="p">)</span> <span class="p">-&gt;</span> <span class="nb">Int</span> <span class="p">{</span>
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<span class="k">guard</span> <span class="n">r</span> <span class="o">&lt;=</span> <span class="n">n</span> <span class="k">else</span> <span class="p">{</span> <span class="k">return</span> <span class="mi">0</span> <span class="p">}</span>
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<span class="k">if</span> <span class="n">r</span> <span class="p">==</span> <span class="mi">0</span> <span class="o">||</span> <span class="n">r</span> <span class="p">==</span> <span class="n">n</span> <span class="p">{</span> <span class="k">return</span> <span class="mi">1</span> <span class="p">}</span>
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<span class="kd">var</span> <span class="nv">result</span> <span class="p">=</span> <span class="mi">1</span>
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<span class="k">for</span> <span class="n">i</span> <span class="k">in</span> <span class="mf">0.</span><span class="p">.&lt;</span><span class="n">r</span> <span class="p">{</span>
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<span class="n">result</span> <span class="p">=</span> <span class="n">result</span> <span class="o">*</span> <span class="p">(</span><span class="n">n</span> <span class="o">-</span> <span class="n">i</span><span class="p">)</span> <span class="o">/</span> <span class="p">(</span><span class="n">i</span> <span class="o">+</span> <span class="mi">1</span><span class="p">)</span>
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<span class="p">}</span>
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<span class="k">return</span> <span class="n">result</span>
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<span class="p">}</span>
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<span class="kd">var</span> <span class="nv">ans</span> <span class="p">=</span> <span class="mi">0</span>
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<span class="k">for</span> <span class="n">i</span> <span class="k">in</span> <span class="mf">0.</span><span class="p">..</span><span class="n">n</span> <span class="p">{</span>
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<span class="k">for</span> <span class="n">j</span> <span class="k">in</span> <span class="mf">0.</span><span class="p">..</span><span class="n">n</span> <span class="p">{</span>
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<span class="kd">let</span> <span class="nv">paintedCells</span> <span class="p">=</span> <span class="n">n</span> <span class="o">*</span> <span class="p">(</span><span class="n">i</span> <span class="o">+</span> <span class="n">j</span><span class="p">)</span> <span class="o">-</span> <span class="n">i</span> <span class="o">*</span> <span class="n">j</span>
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<span class="k">if</span> <span class="n">paintedCells</span> <span class="p">==</span> <span class="n">k</span> <span class="p">{</span>
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<span class="n">ans</span> <span class="o">+=</span> <span class="n">combination</span><span class="p">(</span><span class="n">n</span><span class="p">,</span> <span class="n">i</span><span class="p">)</span> <span class="o">*</span> <span class="n">combination</span><span class="p">(</span><span class="n">n</span><span class="p">,</span> <span class="n">j</span><span class="p">)</span>
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<span class="p">}</span>
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<span class="p">}</span>
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<span class="p">}</span>
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<span class="k">return</span> <span class="n">ans</span>
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<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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<nav>
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<a href="https://github.com/klever34" class="md-author" title="@klever34">
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<img src="https://avatars.githubusercontent.com/u/12745225?v=4&size=72" alt="klever34">
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</a>
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<a href="https://github.com/yanglbme" class="md-author" title="@yanglbme">
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<img src="https://avatars.githubusercontent.com/u/21008209?v=4&size=72" alt="yanglbme">

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