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"categoryTitle": "Algorithms",
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"title": "Minimum Operations to Convert All Elements to Zero",
"titleSlug": "minimum-operations-to-convert-all-elements-to-zero",
"content": "<p>You are given an array <code>nums</code> of size <code>n</code>, consisting of <strong>non-negative</strong> integers. Your task is to apply some (possibly zero) operations on the array so that <strong>all</strong> elements become 0.</p>\n\n<p>In one operation, you can select a <span data-keyword=\"subarray\">subarray</span> <code>[i, j]</code> (where <code>0 &lt;= i &lt;= j &lt; n</code>) and set all occurrences of the <strong>minimum</strong> <strong>non-negative</strong> integer in that subarray to 0.</p>\n\n<p>Return the <strong>minimum</strong> number of operations required to make all elements in the array 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 = [0,2]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">1</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li>Select the subarray <code>[1,1]</code> (which is <code>[2]</code>), where the minimum non-negative integer is 2. Setting all occurrences of 2 to 0 results in <code>[0,0]</code>.</li>\n\t<li>Thus, the minimum number of operations required is 1.</li>\n</ul>\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 = [3,1,2,1]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">3</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li>Select subarray <code>[1,3]</code> (which is <code>[1,2,1]</code>), where the minimum non-negative integer is 1. Setting all occurrences of 1 to 0 results in <code>[3,0,2,0]</code>.</li>\n\t<li>Select subarray <code>[2,2]</code> (which is <code>[2]</code>), where the minimum non-negative integer is 2. Setting all occurrences of 2 to 0 results in <code>[3,0,0,0]</code>.</li>\n\t<li>Select subarray <code>[0,0]</code> (which is <code>[3]</code>), where the minimum non-negative integer is 3. Setting all occurrences of 3 to 0 results in <code>[0,0,0,0]</code>.</li>\n\t<li>Thus, the minimum number of operations required is 3.</li>\n</ul>\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 = [1,2,1,2,1,2]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">4</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li>Select subarray <code>[0,5]</code> (which is <code>[1,2,1,2,1,2]</code>), where the minimum non-negative integer is 1. Setting all occurrences of 1 to 0 results in <code>[0,2,0,2,0,2]</code>.</li>\n\t<li>Select subarray <code>[1,1]</code> (which is <code>[2]</code>), where the minimum non-negative integer is 2. Setting all occurrences of 2 to 0 results in <code>[0,0,0,2,0,2]</code>.</li>\n\t<li>Select subarray <code>[3,3]</code> (which is <code>[2]</code>), where the minimum non-negative integer is 2. Setting all occurrences of 2 to 0 results in <code>[0,0,0,0,0,2]</code>.</li>\n\t<li>Select subarray <code>[5,5]</code> (which is <code>[2]</code>), where the minimum non-negative integer is 2. Setting all occurrences of 2 to 0 results in <code>[0,0,0,0,0,0]</code>.</li>\n\t<li>Thus, the minimum number of operations required is 4.</li>\n</ul>\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;= 10<sup>5</sup></code></li>\n</ul>\n",
"translatedTitle": "将所有元素变为 0 的最少操作次数",
"translatedContent": "<p>给你一个大小为 <code>n</code> 的 <strong>非负</strong>&nbsp;整数数组 <code>nums</code>&nbsp;。你的任务是对该数组执行若干次(可能为 0 次)操作,使得&nbsp;<strong>所有&nbsp;</strong>元素都变为 0。</p>\n\n<p>在一次操作中,你可以选择一个子数组 <code>[i, j]</code>(其中 <code>0 &lt;= i &lt;= j &lt; n</code>),将该子数组中所有&nbsp;<strong>最小的非负整数&nbsp;</strong>的设为 0。</p>\n\n<p>返回使整个数组变为 0 所需的<strong>最少</strong>操作次数。</p>\n一个&nbsp;<strong>子数组&nbsp;</strong>是数组中的一段连续元素。\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 = [0,2]</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<ul>\n\t<li>选择子数组 <code>[1,1]</code>(即 <code>[2]</code>),其中最小的非负整数是 2。将所有 2 设为 0结果为 <code>[0,0]</code>。</li>\n\t<li>因此,所需的最少操作次数为 1。</li>\n</ul>\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 = [3,1,2,1]</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<ul>\n\t<li>选择子数组 <code>[1,3]</code>(即 <code>[1,2,1]</code>),最小非负整数是 1。将所有 1 设为 0结果为 <code>[3,0,2,0]</code>。</li>\n\t<li>选择子数组 <code>[2,2]</code>(即 <code>[2]</code>),将 2 设为 0结果为 <code>[3,0,0,0]</code>。</li>\n\t<li>选择子数组 <code>[0,0]</code>(即 <code>[3]</code>),将 3 设为 0结果为 <code>[0,0,0,0]</code>。</li>\n\t<li>因此,最少操作次数为 3。</li>\n</ul>\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 = [1,2,1,2,1,2]</span></p>\n\n<p><strong>输出:</strong> <span class=\"example-io\">4</span></p>\n\n<p><strong>解释:</strong></p>\n\n<ul>\n\t<li>选择子数组 <code>[0,5]</code>(即 <code>[1,2,1,2,1,2]</code>),最小非负整数是 1。将所有 1 设为 0结果为 <code>[0,2,0,2,0,2]</code>。</li>\n\t<li>选择子数组 <code>[1,1]</code>(即 <code>[2]</code>),将 2 设为 0结果为 <code>[0,0,0,2,0,2]</code>。</li>\n\t<li>选择子数组 <code>[3,3]</code>(即 <code>[2]</code>),将 2 设为 0结果为 <code>[0,0,0,0,0,2]</code>。</li>\n\t<li>选择子数组 <code>[5,5]</code>(即 <code>[2]</code>),将 2 设为 0结果为 <code>[0,0,0,0,0,0]</code>。</li>\n\t<li>因此,最少操作次数为 4。</li>\n</ul>\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;= 10<sup>5</sup></code></li>\n</ul>\n",
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