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‎en/lc/2600/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-greedy" class="md-nav__link">
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<span class="md-ellipsis">
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Solution 1
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Solution 1: Greedy
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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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<h3 id="solution-1-greedy">Solution 1: Greedy</h3>
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<p>According to the problem description, we should take as many items marked as <span class="arithmatex">\(1\)</span> as possible, then take items marked as <span class="arithmatex">\(0\)</span>, and finally take items marked as <span class="arithmatex">\(-1\)</span>.</p>
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<p>Thus:</p>
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<ul>
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<li>If the number of items marked as <span class="arithmatex">\(1\)</span> in the bag is greater than or equal to <span class="arithmatex">\(k\)</span>, we take <span class="arithmatex">\(k\)</span> items, and the sum of the numbers is <span class="arithmatex">\(k\)</span>.</li>
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<li>If the number of items marked as <span class="arithmatex">\(1\)</span> is less than <span class="arithmatex">\(k\)</span>, we take <span class="arithmatex">\(\textit{numOnes}\)</span> items, resulting in a sum of <span class="arithmatex">\(\textit{numOnes}\)</span>. If the number of items marked as <span class="arithmatex">\(0\)</span> is greater than or equal to <span class="arithmatex">\(k - \textit{numOnes}\)</span>, we take <span class="arithmatex">\(k - \textit{numOnes}\)</span> more items, keeping the sum at <span class="arithmatex">\(\textit{numOnes}\)</span>.</li>
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<li>Otherwise, we take <span class="arithmatex">\(k - \textit{numOnes} - \textit{numZeros}\)</span> items from those marked as <span class="arithmatex">\(-1\)</span>, resulting in a sum of <span class="arithmatex">\(\textit{numOnes} - (k - \textit{numOnes} - \textit{numZeros})\)</span>.</li>
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</ul>
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<p>The time complexity is <span class="arithmatex">\(O(1)\)</span>, and the space complexity is <span class="arithmatex">\(O(1)\)</span>.</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">C#</label></div>
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<div class="tabbed-content">
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<div class="tabbed-block">

‎en/lc/960/index.html‎

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‎en/search/search_index.json‎

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‎lc/2600/index.html‎

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<p>因此：</p>
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<ul>
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<li>如果袋子中的物品标记为 <span class="arithmatex">\(1\)</span> 的数量大于等于 <span class="arithmatex">\(k\)</span>，那么取 <span class="arithmatex">\(k\)</span> 件物品，数字之和为 <span class="arithmatex">\(k\)</span>；</li>
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<li>如果袋子中的物品标记为 <span class="arithmatex">\(1\)</span> 的数量小于 <span class="arithmatex">\(k\)</span>，那么取 <span class="arithmatex">\(numOnes\)</span> 件物品，数字之和为 <span class="arithmatex">\(numOnes\)</span>；如果标记为 <span class="arithmatex">\(0\)</span> 的物品数量大于等于 <span class="arithmatex">\(k - numOnes\)</span>，那么再取 <span class="arithmatex">\(k - numOnes\)</span> 件物品，数字之和还是 <span class="arithmatex">\(numOnes\)</span>；</li>
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<li>否则，我们再从标记为 <span class="arithmatex">\(-1\)</span> 的物品中取 <span class="arithmatex">\(k - numOnes - numZeros\)</span> 件物品，数字之和为 <span class="arithmatex">\(numOnes - (k - numOnes - numZeros)\)</span>。</li>
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<li>如果袋子中的物品标记为 <span class="arithmatex">\(1\)</span> 的数量小于 <span class="arithmatex">\(k\)</span>，那么取 <span class="arithmatex">\(\textit{numOnes}\)</span> 件物品，数字之和为 <span class="arithmatex">\(\textit{numOnes}\)</span>；如果标记为 <span class="arithmatex">\(0\)</span> 的物品数量大于等于 <span class="arithmatex">\(k - \textit{numOnes}\)</span>，那么再取 <span class="arithmatex">\(k - \textit{numOnes}\)</span> 件物品，数字之和还是 <span class="arithmatex">\(\textit{numOnes}\)</span>；</li>
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<li>否则，我们再从标记为 <span class="arithmatex">\(-1\)</span> 的物品中取 <span class="arithmatex">\(k - \textit{numOnes} - \textit{numZeros}\)</span> 件物品，数字之和为 <span class="arithmatex">\(\textit{numOnes} - (k - \textit{numOnes} - \textit{numZeros})\)</span>。</li>
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</ul>
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<p>时间复杂度 <span class="arithmatex">\(O(1)\)</span>，空间复杂度 <span class="arithmatex">\(O(1)\)</span>。</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">C#</label></div>

‎lc/416/index.html‎

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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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<a href="https://github.com/xzhseh" class="md-author" title="@xzhseh">
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<img src="https://avatars.githubusercontent.com/u/91381303?v=4&size=72" alt="xzhseh">
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</a>
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</nav>
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</span>
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</aside>
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