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en/lc/3502/index.html

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@@ -84591,9 +84591,9 @@
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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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@@ -87494,23 +87494,129 @@ <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="1:4"><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>According to the problem description, the minimum cost for each position <span class="arithmatex">\(i\)</span> is the minimum cost from <span class="arithmatex">\(0\)</span> to <span class="arithmatex">\(i\)</span>. We can use a variable <span class="arithmatex">\(\textit{mi}\)</span> to record the minimum cost from <span class="arithmatex">\(0\)</span> to <span class="arithmatex">\(i\)</span>.</p>
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<p>Starting from <span class="arithmatex">\(0\)</span>, we iterate through each position <span class="arithmatex">\(i\)</span>, updating <span class="arithmatex">\(\textit{mi}\)</span> as <span class="arithmatex">\(\text{min}(\textit{mi}, \text{cost}[i])\)</span> at each step, and assign <span class="arithmatex">\(\textit{mi}\)</span> to the <span class="arithmatex">\(i\)</span>-th position of the answer array.</p>
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<p>Finally, return the answer array.</p>
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<p>Time complexity is <span class="arithmatex">\(O(n)\)</span>, where <span class="arithmatex">\(n\)</span> is the length of the array <span class="arithmatex">\(\textit{cost}\)</span>. Ignoring the space used by the answer array, 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-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></pre></div></td><td class="code"><div><pre><span></span><code>
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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">9</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="p">:</span>
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<span class="k">def</span><span class="w"> </span><span class="nf">minCosts</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">cost</span><span class="p">:</span> <span class="n">List</span><span class="p">[</span><span class="nb">int</span><span class="p">])</span> <span class="o">-&gt;</span> <span class="n">List</span><span class="p">[</span><span class="nb">int</span><span class="p">]:</span>
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<span class="n">n</span> <span class="o">=</span> <span class="nb">len</span><span class="p">(</span><span class="n">cost</span><span class="p">)</span>
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<span class="n">ans</span> <span class="o">=</span> <span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">*</span> <span class="n">n</span>
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<span class="n">mi</span> <span class="o">=</span> <span class="n">cost</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
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<span class="k">for</span> <span class="n">i</span><span class="p">,</span> <span class="n">c</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="n">cost</span><span class="p">):</span>
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<span class="n">mi</span> <span class="o">=</span> <span class="nb">min</span><span class="p">(</span><span class="n">mi</span><span class="p">,</span> <span class="n">c</span><span class="p">)</span>
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<span class="n">ans</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="n">mi</span>
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<span class="k">return</span> <span class="n">ans</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></pre></div></td><td class="code"><div><pre><span></span><code>
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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"> 4</span>
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<span class="normal">12</span></pre></div></td><td class="code"><div><pre><span></span><code><span class="kd">class</span> <span class="nc">Solution</span><span class="w"> </span><span class="p">{</span>
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<span class="w"> </span><span class="kd">public</span><span class="w"> </span><span class="kt">int</span><span class="o">[]</span><span class="w"> </span><span class="nf">minCosts</span><span class="p">(</span><span class="kt">int</span><span class="o">[]</span><span class="w"> </span><span class="n">cost</span><span class="p">)</span><span class="w"> </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">n</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">cost</span><span class="p">.</span><span class="na">length</span><span class="p">;</span>
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<span class="w"> </span><span class="kt">int</span><span class="o">[]</span><span class="w"> </span><span class="n">ans</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="k">new</span><span class="w"> </span><span class="kt">int</span><span class="o">[</span><span class="n">n</span><span class="o">]</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">mi</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">cost</span><span class="o">[</span><span class="mi">0</span><span class="o">]</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="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>
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<span class="w"> </span><span class="n">mi</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">Math</span><span class="p">.</span><span class="na">min</span><span class="p">(</span><span class="n">mi</span><span class="p">,</span><span class="w"> </span><span class="n">cost</span><span class="o">[</span><span class="n">i</span><span class="o">]</span><span class="p">);</span>
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<span class="w"> </span><span class="n">ans</span><span class="o">[</span><span class="n">i</span><span class="o">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">mi</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="n">ans</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></pre></div></td><td class="code"><div><pre><span></span><code>
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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">13</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="n">vector</span><span class="o">&lt;</span><span class="kt">int</span><span class="o">&gt;</span><span class="w"> </span><span class="n">minCosts</span><span class="p">(</span><span class="n">vector</span><span class="o">&lt;</span><span class="kt">int</span><span class="o">&gt;&amp;</span><span class="w"> </span><span class="n">cost</span><span class="p">)</span><span class="w"> </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">n</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">cost</span><span class="p">.</span><span class="n">size</span><span class="p">();</span>
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<span class="w"> </span><span class="n">vector</span><span class="o">&lt;</span><span class="kt">int</span><span class="o">&gt;</span><span class="w"> </span><span class="n">ans</span><span class="p">(</span><span class="n">n</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">mi</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">cost</span><span class="p">[</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="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>
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<span class="w"> </span><span class="n">mi</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">mi</span><span class="p">,</span><span class="w"> </span><span class="n">cost</span><span class="p">[</span><span class="n">i</span><span class="p">]);</span>
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<span class="w"> </span><span class="n">ans</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">mi</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="n">ans</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></pre></div></td><td class="code"><div><pre><span></span><code>
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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="kd">func</span><span class="w"> </span><span class="nx">minCosts</span><span class="p">(</span><span class="nx">cost</span><span class="w"> </span><span class="p">[]</span><span class="kt">int</span><span class="p">)</span><span class="w"> </span><span class="p">[]</span><span class="kt">int</span><span class="w"> </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">len</span><span class="p">(</span><span class="nx">cost</span><span class="p">)</span>
87590+
<span class="w"> </span><span class="nx">ans</span><span class="w"> </span><span class="o">:=</span><span class="w"> </span><span class="nb">make</span><span class="p">([]</span><span class="kt">int</span><span class="p">,</span><span class="w"> </span><span class="nx">n</span><span class="p">)</span>
87591+
<span class="w"> </span><span class="nx">mi</span><span class="w"> </span><span class="o">:=</span><span class="w"> </span><span class="nx">cost</span><span class="p">[</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="nx">i</span><span class="p">,</span><span class="w"> </span><span class="nx">c</span><span class="w"> </span><span class="o">:=</span><span class="w"> </span><span class="k">range</span><span class="w"> </span><span class="nx">cost</span><span class="w"> </span><span class="p">{</span>
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<span class="w"> </span><span class="nx">mi</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="nb">min</span><span class="p">(</span><span class="nx">mi</span><span class="p">,</span><span class="w"> </span><span class="nx">c</span><span class="p">)</span>
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<span class="w"> </span><span class="nx">ans</span><span class="p">[</span><span class="nx">i</span><span class="p">]</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="nx">mi</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">ans</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"> 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">minCosts</span><span class="p">(</span><span class="nx">cost</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">n</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nx">cost</span><span class="p">.</span><span class="nx">length</span><span class="p">;</span>
87612+
<span class="w"> </span><span class="kd">const</span><span class="w"> </span><span class="nx">ans</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="nb">Array</span><span class="p">(</span><span class="nx">n</span><span class="p">).</span><span class="nx">fill</span><span class="p">(</span><span class="mf">0</span><span class="p">);</span>
87613+
<span class="w"> </span><span class="kd">let</span><span class="w"> </span><span class="nx">mi</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nx">cost</span><span class="p">[</span><span class="mf">0</span><span class="p">];</span>
87614+
<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">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>
87615+
<span class="w"> </span><span class="nx">mi</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">mi</span><span class="p">,</span><span class="w"> </span><span class="nx">cost</span><span class="p">[</span><span class="nx">i</span><span class="p">]);</span>
87616+
<span class="w"> </span><span class="nx">ans</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">mi</span><span class="p">;</span>
87617+
<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">ans</span><span class="p">;</span>
87619+
<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>

en/search/search_index.json

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