mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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184 lines
21 KiB
JSON
184 lines
21 KiB
JSON
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"title": "Minimize Deviation in Array",
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"content": "<p>You are given an array <code>nums</code> of <code>n</code> positive integers.</p>\n\n<p>You can perform two types of operations on any element of the array any number of times:</p>\n\n<ul>\n\t<li>If the element is <strong>even</strong>, <strong>divide</strong> it by <code>2</code>.\n\n\t<ul>\n\t\t<li>For example, if the array is <code>[1,2,3,4]</code>, then you can do this operation on the last element, and the array will be <code>[1,2,3,<u>2</u>].</code></li>\n\t</ul>\n\t</li>\n\t<li>If the element is <strong>odd</strong>, <strong>multiply</strong> it by <code>2</code>.\n\t<ul>\n\t\t<li>For example, if the array is <code>[1,2,3,4]</code>, then you can do this operation on the first element, and the array will be <code>[<u>2</u>,2,3,4].</code></li>\n\t</ul>\n\t</li>\n</ul>\n\n<p>The <strong>deviation</strong> of the array is the <strong>maximum difference</strong> between any two elements in the array.</p>\n\n<p>Return <em>the <strong>minimum deviation</strong> the array can have after performing some number of operations.</em></p>\n\n<p> </p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,2,3,4]\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> You can transform the array to [1,2,3,<u>2</u>], then to [<u>2</u>,2,3,2], then the deviation will be 3 - 2 = 1.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [4,1,5,20,3]\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> You can transform the array after two operations to [4,<u>2</u>,5,<u>5</u>,3], then the deviation will be 5 - 2 = 3.\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [2,10,8]\n<strong>Output:</strong> 3\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>n == nums.length</code></li>\n\t<li><code>2 <= n <= 10<sup><span style=\"font-size: 10.8333px;\">5</span></sup></code></li>\n\t<li><code>1 <= nums[i] <= 10<sup>9</sup></code></li>\n</ul>\n",
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"translatedTitle": "数组的最小偏移量",
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"translatedContent": "<p>给你一个由 <code>n</code> 个正整数组成的数组 <code>nums</code> 。</p>\n\n<p>你可以对数组的任意元素执行任意次数的两类操作：</p>\n\n<ul>\n\t<li>如果元素是<strong> 偶数</strong> ，<strong>除以</strong> <code>2</code>\n\n\t<ul>\n\t\t<li>例如，如果数组是 <code>[1,2,3,4]</code> ，那么你可以对最后一个元素执行此操作，使其变成 <code>[1,2,3,<strong>2</strong>]</code></li>\n\t</ul>\n\t</li>\n\t<li>如果元素是 <strong>奇数</strong> ，<strong>乘上</strong> <code>2</code>\n\t<ul>\n\t\t<li>例如，如果数组是 <code>[1,2,3,4]</code> ，那么你可以对第一个元素执行此操作，使其变成 <code>[<strong>2</strong>,2,3,4]</code></li>\n\t</ul>\n\t</li>\n</ul>\n\n<p>数组的 <strong>偏移量</strong> 是数组中任意两个元素之间的 <strong>最大差值</strong> 。</p>\n\n<p>返回数组在执行某些操作之后可以拥有的 <strong>最小偏移量</strong> 。</p>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre><strong>输入：</strong>nums = [1,2,3,4]\n<strong>输出：</strong>1\n<strong>解释：</strong>你可以将数组转换为 [1,2,3,<strong>2</strong>]，然后转换成 [<strong>2</strong>,2,3,2]，偏移量是 3 - 2 = 1\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre><strong>输入：</strong>nums = [4,1,5,20,3]\n<strong>输出：</strong>3\n<strong>解释：</strong>两次操作后，你可以将数组转换为 [4,<strong>2</strong>,5,<strong>5</strong>,3]，偏移量是 5 - 2 = 3\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre><strong>输入：</strong>nums = [2,10,8]\n<strong>输出：</strong>3\n</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>n == nums.length</code></li>\n\t<li><code>2 <= n <= 10<sup><span style=\"\">5</span></sup></code></li>\n\t<li><code>1 <= nums[i] <= 10<sup>9</sup></code></li>\n</ul>\n",
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"Assume you start with the minimum possible value for each number so you can only multiply a number by 2 till it reaches its maximum possible value.",
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