leetcode-problemset/leetcode-cn/originData/ways-to-make-a-fair-array.json

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            "title": "Ways to Make a Fair Array",
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            "content": "<p>You are given an integer array&nbsp;<code>nums</code>. You can choose <strong>exactly one</strong> index (<strong>0-indexed</strong>) and remove the element. Notice that the index of the elements may change after the removal.</p>\n\n<p>For example, if <code>nums = [6,1,7,4,1]</code>:</p>\n\n<ul>\n\t<li>Choosing to remove index <code>1</code> results in <code>nums = [6,7,4,1]</code>.</li>\n\t<li>Choosing to remove index <code>2</code> results in <code>nums = [6,1,4,1]</code>.</li>\n\t<li>Choosing to remove index <code>4</code> results in <code>nums = [6,1,7,4]</code>.</li>\n</ul>\n\n<p>An array is <strong>fair</strong> if the sum of the odd-indexed values equals the sum of the even-indexed values.</p>\n\n<p>Return the <em><strong>number</strong> of indices that you could choose such that after the removal, </em><code>nums</code><em> </em><em>is <strong>fair</strong>. </em></p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [2,1,6,4]\n<strong>Output:</strong> 1\n<strong>Explanation:</strong>\nRemove index 0: [1,6,4] -&gt; Even sum: 1 + 4 = 5. Odd sum: 6. Not fair.\nRemove index 1: [2,6,4] -&gt; Even sum: 2 + 4 = 6. Odd sum: 6. Fair.\nRemove index 2: [2,1,4] -&gt; Even sum: 2 + 4 = 6. Odd sum: 1. Not fair.\nRemove index 3: [2,1,6] -&gt; Even sum: 2 + 6 = 8. Odd sum: 1. Not fair.\nThere is 1 index that you can remove to make nums fair.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,1,1]\n<strong>Output:</strong> 3\n<strong>Explanation:</strong>&nbsp;You can remove any index and the remaining array is fair.\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,2,3]\n<strong>Output:</strong> 0\n<strong>Explanation:</strong>&nbsp;You cannot make a fair array after removing any index.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 10<sup>4</sup></code></li>\n</ul>\n",
            "translatedTitle": "生成平衡数组的方案数",
            "translatedContent": "<p>给你一个整数数组 <code>nums</code> 。你需要选择 <strong>恰好</strong> 一个下标（下标从 <strong>0</strong> 开始）并删除对应的元素。请注意剩下元素的下标可能会因为删除操作而发生改变。</p>\n\n<p>比方说，如果 <code>nums = [6,1,7,4,1]</code> ，那么：</p>\n\n<ul>\n\t<li>选择删除下标 <code>1</code> ，剩下的数组为 <code>nums = [6,7,4,1]</code> 。</li>\n\t<li>选择删除下标 <code>2</code> ，剩下的数组为 <code>nums = [6,1,4,1]</code> 。</li>\n\t<li>选择删除下标 <code>4</code> ，剩下的数组为 <code>nums = [6,1,7,4]</code> 。</li>\n</ul>\n\n<p>如果一个数组满足奇数下标元素的和与偶数下标元素的和相等，该数组就是一个 <strong>平衡数组</strong> 。</p>\n\n<p>请你返回删除操作后，剩下的数组<em> </em><code>nums</code><em> </em>是 <strong>平衡数组</strong> 的 <strong>方案数</strong> 。</p>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<b>输入：</b>nums = [2,1,6,4]\n<b>输出：</b>1\n<strong>解释：</strong>\n删除下标 0 ：[1,6,4] -> 偶数元素下标为：1 + 4 = 5 。奇数元素下标为：6 。不平衡。\n删除下标 1 ：[2,6,4] -> 偶数元素下标为：2 + 4 = 6 。奇数元素下标为：6 。平衡。\n删除下标 2 ：[2,1,4] -> 偶数元素下标为：2 + 4 = 6 。奇数元素下标为：1 。不平衡。\n删除下标 3 ：[2,1,6] -> 偶数元素下标为：2 + 6 = 8 。奇数元素下标为：1 。不平衡。\n只有一种让剩余数组成为平衡数组的方案。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<b>输入：</b>nums = [1,1,1]\n<b>输出：</b>3\n<b>解释：</b>你可以删除任意元素，剩余数组都是平衡数组。\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre>\n<b>输入：</b>nums = [1,2,3]\n<b>输出：</b>0\n<b>解释：</b>不管删除哪个元素，剩下数组都不是平衡数组。\n</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 <= nums.length <= 10<sup>5</sup></code></li>\n\t<li><code>1 <= nums[i] <= 10<sup>4</sup></code></li>\n</ul>\n",
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