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leetcode-problemset/leetcode-cn/originData/partition-array-into-three-parts-with-equal-sum.json

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{
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"categoryTitle": "Algorithms",
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"title": "Partition Array Into Three Parts With Equal Sum",
"titleSlug": "partition-array-into-three-parts-with-equal-sum",
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"content": "<p>Given an array of integers <code>arr</code>, return <code>true</code> if we can partition the array into three <strong>non-empty</strong> parts with equal sums.</p>\n\n<p>Formally, we can partition the array if we can find indexes <code>i + 1 &lt; j</code> with <code>(arr[0] + arr[1] + ... + arr[i] == arr[i + 1] + arr[i + 2] + ... + arr[j - 1] == arr[j] + arr[j + 1] + ... + arr[arr.length - 1])</code></p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> arr = [0,2,1,-6,6,-7,9,1,2,0,1]\n<strong>Output:</strong> true\n<strong>Explanation: </strong>0 + 2 + 1 = -6 + 6 - 7 + 9 + 1 = 2 + 0 + 1\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> arr = [0,2,1,-6,6,7,9,-1,2,0,1]\n<strong>Output:</strong> false\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> arr = [3,3,6,5,-2,2,5,1,-9,4]\n<strong>Output:</strong> true\n<strong>Explanation: </strong>3 + 3 = 6 = 5 - 2 + 2 + 5 + 1 - 9 + 4\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>3 &lt;= arr.length &lt;= 5 * 10<sup>4</sup></code></li>\n\t<li><code>-10<sup>4</sup> &lt;= arr[i] &lt;= 10<sup>4</sup></code></li>\n</ul>\n",
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"translatedTitle": "将数组分成和相等的三个部分",
"translatedContent": "<p>给你一个整数数组 <code>arr</code>,只有可以将其划分为三个和相等的 <strong>非空</strong> 部分时才返回 <code>true</code>,否则返回 <code>false</code>。</p>\n\n<p>形式上,如果可以找出索引 <code>i + 1 < j</code> 且满足 <code>(arr[0] + arr[1] + ... + arr[i] == arr[i + 1] + arr[i + 2] + ... + arr[j - 1] == arr[j] + arr[j + 1] + ... + arr[arr.length - 1])</code> 就可以将数组三等分。</p>\n\n<p> </p>\n\n<p><strong>示例 1</strong></p>\n\n<pre>\n<strong>输入:</strong>arr = [0,2,1,-6,6,-7,9,1,2,0,1]\n<strong>输出:</strong>true\n<strong>解释:</strong>0 + 2 + 1 = -6 + 6 - 7 + 9 + 1 = 2 + 0 + 1\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<strong>输入:</strong>arr = [0,2,1,-6,6,7,9,-1,2,0,1]\n<strong>输出:</strong>false\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre>\n<strong>输入:</strong>arr = [3,3,6,5,-2,2,5,1,-9,4]\n<strong>输出:</strong>true\n<strong>解释:</strong>3 + 3 = 6 = 5 - 2 + 2 + 5 + 1 - 9 + 4\n</pre>\n\n<p> </p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>3 <= arr.length <= 5 * 10<sup>4</sup></code></li>\n\t<li><code>-10<sup>4</sup> <= arr[i] <= 10<sup>4</sup></code></li>\n</ul>\n",
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"If we have three parts with the same sum, what is the sum of each?\r\nIf you can find the first part, can you find the second part?"
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