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leetcode-problemset/leetcode-cn/originData/find-original-array-from-doubled-array.json
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{
"data": {
"question": {
"questionId": "2117",
"questionFrontendId": "2007",
"categoryTitle": "Algorithms",
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"title": "Find Original Array From Doubled Array",
"titleSlug": "find-original-array-from-doubled-array",
"content": "<p>An integer array <code>original</code> is transformed into a <strong>doubled</strong> array <code>changed</code> by appending <strong>twice the value</strong> of every element in <code>original</code>, and then randomly <strong>shuffling</strong> the resulting array.</p>\n\n<p>Given an array <code>changed</code>, return <code>original</code><em> if </em><code>changed</code><em> is a <strong>doubled</strong> array. If </em><code>changed</code><em> is not a <strong>doubled</strong> array, return an empty array. The elements in</em> <code>original</code> <em>may be returned in <strong>any</strong> order</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> changed = [1,3,4,2,6,8]\n<strong>Output:</strong> [1,3,4]\n<strong>Explanation:</strong> One possible original array could be [1,3,4]:\n- Twice the value of 1 is 1 * 2 = 2.\n- Twice the value of 3 is 3 * 2 = 6.\n- Twice the value of 4 is 4 * 2 = 8.\nOther original arrays could be [4,3,1] or [3,1,4].\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> changed = [6,3,0,1]\n<strong>Output:</strong> []\n<strong>Explanation:</strong> changed is not a doubled array.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> changed = [1]\n<strong>Output:</strong> []\n<strong>Explanation:</strong> changed is not a doubled array.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= changed.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>0 &lt;= changed[i] &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
"translatedTitle": "从双倍数组中还原原数组",
"translatedContent": "<p>一个整数数组&nbsp;<code>original</code>&nbsp;可以转变成一个 <strong>双倍</strong>&nbsp;数组&nbsp;<code>changed</code>&nbsp;,转变方式为将 <code>original</code>&nbsp;中每个元素 <strong>值乘以 2 </strong>加入数组中,然后将所有元素 <strong>随机打乱</strong>&nbsp;。</p>\n\n<p>给你一个数组&nbsp;<code>changed</code>&nbsp;,如果&nbsp;<code>change</code>&nbsp;是&nbsp;<strong>双倍</strong>&nbsp;数组,那么请你返回&nbsp;<code>original</code>数组,否则请返回空数组。<code>original</code>&nbsp;的元素可以以&nbsp;<strong>任意</strong>&nbsp;顺序返回。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre><b>输入:</b>changed = [1,3,4,2,6,8]\n<b>输出:</b>[1,3,4]\n<b>解释:</b>一个可能的 original 数组为 [1,3,4] :\n- 将 1 乘以 2 ,得到 1 * 2 = 2 。\n- 将 3 乘以 2 ,得到 3 * 2 = 6 。\n- 将 4 乘以 2 ,得到 4 * 2 = 8 。\n其他可能的原数组方案为 [4,3,1] 或者 [3,1,4] 。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre><b>输入:</b>changed = [6,3,0,1]\n<b>输出:</b>[]\n<b>解释:</b>changed 不是一个双倍数组。\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre><b>输入:</b>changed = [1]\n<b>输出:</b>[]\n<b>解释:</b>changed 不是一个双倍数组。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= changed.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>0 &lt;= changed[i] &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
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"If changed is a doubled array, you should be able to delete elements and their doubled values until the array is empty.",
"Which element is guaranteed to not be a doubled value? It is the smallest element.",
"After removing the smallest element and its double from changed, is there another number that is guaranteed to not be a doubled value?"
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