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"question": {
"questionId": "3620",
"questionFrontendId": "3397",
"categoryTitle": "Algorithms",
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"title": "Maximum Number of Distinct Elements After Operations",
"titleSlug": "maximum-number-of-distinct-elements-after-operations",
"content": "<p>You are given an integer array <code>nums</code> and an integer <code>k</code>.</p>\n\n<p>You are allowed to perform the following <strong>operation</strong> on each element of the array <strong>at most</strong> <em>once</em>:</p>\n\n<ul>\n\t<li>Add an integer in the range <code>[-k, k]</code> to the element.</li>\n</ul>\n\n<p>Return the <strong>maximum</strong> possible number of <strong>distinct</strong> elements in <code>nums</code> after performing the <strong>operations</strong>.</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 = [1,2,2,3,3,4], k = 2</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">6</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p><code>nums</code> changes to <code>[-1, 0, 1, 2, 3, 4]</code> after performing operations on the first four elements.</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 = [4,4,4,4], k = 1</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">3</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>By adding -1 to <code>nums[0]</code> and 1 to <code>nums[1]</code>, <code>nums</code> changes to <code>[3, 5, 4, 4]</code>.</p>\n</div>\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>9</sup></code></li>\n\t<li><code>0 &lt;= k &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
"translatedTitle": "执行操作后不同元素的最大数量",
"translatedContent": "<p>给你一个整数数组 <code>nums</code> 和一个整数 <code>k</code>。</p>\n\n<p>你可以对数组中的每个元素&nbsp;<strong>最多</strong> 执行 <strong>一次&nbsp;</strong>以下操作:</p>\n\n<ul>\n\t<li>将一个在范围&nbsp;<code>[-k, k]</code> 内的整数加到该元素上。</li>\n</ul>\n\n<p>返回执行这些操作后,<code>nums</code> 中可能拥有的不同元素的&nbsp;<strong>最大&nbsp;</strong>数量。</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 = [1,2,2,3,3,4], k = 2</span></p>\n\n<p><strong>输出:</strong> <span class=\"example-io\">6</span></p>\n\n<p><strong>解释:</strong></p>\n\n<p>对前四个元素执行操作,<code>nums</code> 变为 <code>[-1, 0, 1, 2, 3, 4]</code>,可以获得 6 个不同的元素。</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 = [4,4,4,4], k = 1</span></p>\n\n<p><strong>输出:</strong> <span class=\"example-io\">3</span></p>\n\n<p><strong>解释:</strong></p>\n\n<p>对 <code>nums[0]</code> 加 -1以及对 <code>nums[1]</code> 加 1<code>nums</code> 变为 <code>[3, 5, 4, 4]</code>,可以获得 3 个不同的元素。</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;= nums.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 10<sup>9</sup></code></li>\n\t<li><code>0 &lt;= k &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
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