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leetcode-problemset/leetcode-cn/originData/find-three-consecutive-integers-that-sum-to-a-given-number.json
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{
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"question": {
"questionId": "2278",
"questionFrontendId": "2177",
"categoryTitle": "Algorithms",
"boundTopicId": 1273961,
"title": "Find Three Consecutive Integers That Sum to a Given Number",
"titleSlug": "find-three-consecutive-integers-that-sum-to-a-given-number",
"content": "<p>Given an integer <code>num</code>, return <em>three consecutive integers (as a sorted array)</em><em> that <strong>sum</strong> to </em><code>num</code>. If <code>num</code> cannot be expressed as the sum of three consecutive integers, return<em> an <strong>empty</strong> array.</em></p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> num = 33\n<strong>Output:</strong> [10,11,12]\n<strong>Explanation:</strong> 33 can be expressed as 10 + 11 + 12 = 33.\n10, 11, 12 are 3 consecutive integers, so we return [10, 11, 12].\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> num = 4\n<strong>Output:</strong> []\n<strong>Explanation:</strong> There is no way to express 4 as the sum of 3 consecutive integers.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>0 &lt;= num &lt;= 10<sup>15</sup></code></li>\n</ul>\n",
"translatedTitle": "找到和为给定整数的三个连续整数",
"translatedContent": "<p>给你一个整数&nbsp;<code>num</code>&nbsp;,请你返回三个连续的整数,它们的&nbsp;<strong>和</strong>&nbsp;为<em>&nbsp;</em><code>num</code>&nbsp;。如果&nbsp;<code>num</code>&nbsp;无法被表示成三个连续整数的和,请你返回一个 <strong>空</strong>&nbsp;数组。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre><b>输入:</b>num = 33\n<b>输出:</b>[10,11,12]\n<b>解释:</b>33 可以表示为 10 + 11 + 12 = 33 。\n10, 11, 12 是 3 个连续整数,所以返回 [10, 11, 12] 。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre><b>输入:</b>num = 4\n<b>输出:</b>[]\n<b>解释:</b>没有办法将 4 表示成 3 个连续整数的和。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>0 &lt;= num &lt;= 10<sup>15</sup></code></li>\n</ul>\n",
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"hints": [
"Notice that if a solution exists, we can represent them as x-1, x, x+1. What does this tell us about the number?",
"Notice the sum of the numbers will be 3x. Can you solve for x?"
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