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leetcode-problemset/leetcode-cn/originData/make-the-xor-of-all-segments-equal-to-zero.json
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"question": {
"questionId": "1913",
"questionFrontendId": "1787",
"categoryTitle": "Algorithms",
"boundTopicId": 635607,
"title": "Make the XOR of All Segments Equal to Zero",
"titleSlug": "make-the-xor-of-all-segments-equal-to-zero",
"content": "<p>You are given an array <code>nums</code> and an integer <code>k</code>. The <font face=\"monospace\">XOR</font> of a segment <code>[left, right]</code> where <code>left &lt;= right</code> is the <code>XOR</code> of all the elements with indices between <code>left</code> and <code>right</code>, inclusive: <code>nums[left] XOR nums[left+1] XOR ... XOR nums[right]</code>.</p>\n\n<p>Return <em>the minimum number of elements to change in the array </em>such that the <code>XOR</code> of all segments of size <code>k</code> is equal to zero.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,2,0,3,0], k = 1\n<strong>Output:</strong> 3\n<strong>Explanation: </strong>Modify the array from [<u><strong>1</strong></u>,<u><strong>2</strong></u>,0,<u><strong>3</strong></u>,0] to from [<u><strong>0</strong></u>,<u><strong>0</strong></u>,0,<u><strong>0</strong></u>,0].\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [3,4,5,2,1,7,3,4,7], k = 3\n<strong>Output:</strong> 3\n<strong>Explanation: </strong>Modify the array from [3,4,<strong><u>5</u></strong>,<strong><u>2</u></strong>,<strong><u>1</u></strong>,7,3,4,7] to [3,4,<strong><u>7</u></strong>,<strong><u>3</u></strong>,<strong><u>4</u></strong>,7,3,4,7].\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,2,4,1,2,5,1,2,6], k = 3\n<strong>Output:</strong> 3\n<strong>Explanation: </strong>Modify the array from [1,2,<strong><u>4,</u></strong>1,2,<strong><u>5</u></strong>,1,2,<strong><u>6</u></strong>] to [1,2,<strong><u>3</u></strong>,1,2,<strong><u>3</u></strong>,1,2,<strong><u>3</u></strong>].</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= k &lt;= nums.length &lt;= 2000</code></li>\n\t<li><code>0 &lt;= nums[i] &lt; 2<sup>10</sup></code></li>\n</ul>\n",
"translatedTitle": "使所有区间的异或结果为零",
"translatedContent": "<p>给你一个整数数组 <code>nums</code> 和一个整数 <code>k</code> 。区间 <code>[left, right]</code><code>left <= right</code>)的 <strong>异或结果</strong> 是对下标位于 <code>left</code> 和 <code>right</code>(包括 <code>left</code> 和 <code>right</code> )之间所有元素进行 <code>XOR</code> 运算的结果:<code>nums[left] XOR nums[left+1] XOR ... XOR nums[right]</code> 。</p>\n\n<p>返回数组中 <strong>要更改的最小元素数</strong> ,以使所有长度为 <code>k</code> 的区间异或结果等于零。</p>\n\n<p> </p>\n\n<p><strong>示例 1</strong></p>\n\n<pre>\n<strong>输入:</strong>nums = [1,2,0,3,0], k = 1\n<strong>输出:</strong>3\n<strong>解释:</strong>将数组 [<strong>1</strong>,<strong>2</strong>,0,<strong>3</strong>,0] 修改为 [<strong>0</strong>,<strong>0</strong>,0,<strong>0</strong>,0]\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<strong>输入:</strong>nums = [3,4,5,2,1,7,3,4,7], k = 3\n<strong>输出:</strong>3\n<strong>解释:</strong>将数组 [3,4,<strong>5</strong>,<strong>2</strong>,<strong>1</strong>,7,3,4,7] 修改为 [3,4,<strong>7</strong>,<strong>3</strong>,<strong>4</strong>,7,3,4,7]\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre>\n<strong>输入:</strong>nums = [1,2,4,1,2,5,1,2,6], k = 3\n<strong>输出:</strong>3\n<strong>解释:</strong>将数组[1,2,<strong>4,</strong>1,2,<strong>5</strong>,1,2,<strong>6</strong>] 修改为 [1,2,<strong>3</strong>,1,2,<strong>3</strong>,1,2,<strong>3</strong>]</pre>\n\n<p> </p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 <= k <= nums.length <= 2000</code></li>\n\t<li><code>0 <= nums[i] < 2<sup>10</sup></code></li>\n</ul>\n",
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"Let's note that for the XOR of all segments with size K to be equal to zeros, nums[i] has to be equal to nums[i+k]",
"Basically, we need to make the first K elements have XOR = 0 and then modify them."
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