leetcode-problemset/leetcode-cn/originData/maximum-k-to-sort-a-permutation.json

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            "categoryTitle": "Algorithms",
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            "title": "Maximum K to Sort a Permutation",
            "titleSlug": "maximum-k-to-sort-a-permutation",
            "content": "<p>You are given an integer array <code>nums</code> of length <code>n</code>, where <code>nums</code> is a <strong><span data-keyword=\"permutation-array\">permutation</span></strong> of the numbers in the range <code>[0..n - 1]</code>.</p>\n\n<p>You may swap elements at indices <code>i</code> and <code>j</code> <strong>only if</strong> <code>nums[i] AND nums[j] == k</code>, where <code>AND</code> denotes the bitwise AND operation and <code>k</code> is a <strong>non-negative</strong> integer.</p>\n\n<p>Return the <strong>maximum</strong> value of <code>k</code> such that the array can be sorted in <strong>non-decreasing</strong> order using any number of such swaps. If <code>nums</code> is already sorted, return 0.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">nums = [0,3,2,1]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">1</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>Choose <code>k = 1</code>. Swapping <code>nums[1] = 3</code> and <code>nums[3] = 1</code> is allowed since <code>nums[1] AND nums[3] == 1</code>, resulting in a sorted permutation: <code>[0, 1, 2, 3]</code>.</p>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">nums = [0,1,3,2]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">2</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>Choose <code>k = 2</code>. Swapping <code>nums[2] = 3</code> and <code>nums[3] = 2</code> is allowed since <code>nums[2] AND nums[3] == 2</code>, resulting in a sorted permutation: <code>[0, 1, 2, 3]</code>.</p>\n</div>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">nums = [3,2,1,0]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">0</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>Only <code>k = 0</code> allows sorting since no greater <code>k</code> allows the required swaps where <code>nums[i] AND nums[j] == k</code>.</p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n == nums.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>0 &lt;= nums[i] &lt;= n - 1</code></li>\n\t<li><code>nums</code> is a permutation of integers from <code>0</code> to <code>n - 1</code>.</li>\n</ul>\n",
            "translatedTitle": "排序排列",
            "translatedContent": "<p>给你一个长度为 <code>n</code> 的整数数组 <code>nums</code>，其中 <code>nums</code> 是范围 <code>[0..n - 1]</code> 内所有数字的一个&nbsp;<strong>排列&nbsp;</strong>。</p>\n\n<p>你可以在满足条件 <code>nums[i] AND nums[j] == k</code> 的情况下交换下标&nbsp;<code>i</code> 和 <code>j</code> 的元素，其中 <code>AND</code> 表示按位与操作，<code>k</code> 是一个<strong>非负整数</strong>。</p>\n\n<p>返回可以使数组按&nbsp;<strong>非递减&nbsp;</strong>顺序排序的最大值 <code>k</code>（允许进行任意次这样的交换）。如果 <code>nums</code> 已经是有序的，返回 0。</p>\n\n<p><strong>排列&nbsp;</strong>是数组所有元素的一种重新排列。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1：</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入：</strong><span class=\"example-io\">nums = [0,3,2,1]</span></p>\n\n<p><strong>输出：</strong><span class=\"example-io\">1</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p>选择 <code>k = 1</code>。交换 <code>nums[1] = 3</code> 和 <code>nums[3] = 1</code>，因为 <code>nums[1] AND nums[3] == 1</code>，从而得到一个排序后的排列：<code>[0, 1, 2, 3]</code>。</p>\n</div>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入：</strong><span class=\"example-io\">nums = [0,1,3,2]</span></p>\n\n<p><strong>输出：</strong><span class=\"example-io\">2</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p>选择 <code>k = 2</code>。交换 <code>nums[2] = 3</code> 和 <code>nums[3] = 2</code>，因为 <code>nums[2] AND nums[3] == 2</code>，从而得到一个排序后的排列：<code>[0, 1, 2, 3]</code>。</p>\n</div>\n\n<p><strong class=\"example\">示例 3：</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入：</strong><span class=\"example-io\">nums = [3,2,1,0]</span></p>\n\n<p><strong>输出：</strong><span class=\"example-io\">0</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p>只有当 <code>k = 0</code> 时，才能进行排序，因为没有更大的 <code>k</code> 能够满足 <code>nums[i] AND nums[j] == k</code> 的交换条件。</p>\n</div>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n == nums.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>0 &lt;= nums[i] &lt;= n - 1</code></li>\n\t<li><code>nums</code> 是从 <code>0</code> 到 <code>n - 1</code> 的一个排列。</li>\n</ul>\n",
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                    "code": "class Solution {\npublic:\n    int sortPermutation(vector<int>& nums) {\n        \n    }\n};",
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