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leetcode-problemset/leetcode-cn/originData/minimum-numbers-of-function-calls-to-make-target-array.json
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"questionId": "1662",
"questionFrontendId": "1558",
"categoryTitle": "Algorithms",
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"title": "Minimum Numbers of Function Calls to Make Target Array",
"titleSlug": "minimum-numbers-of-function-calls-to-make-target-array",
"content": "<p>You are given an integer array <code>nums</code>. You have an integer array <code>arr</code> of the same length with all values set to <code>0</code> initially. You also have the following <code>modify</code> function:</p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/07/10/sample_2_1887.png\" style=\"width: 573px; height: 294px;\" />\n<p>You want to use the modify function to convert <code>arr</code> to <code>nums</code> using the minimum number of calls.</p>\n\n<p>Return <em>the minimum number of function calls to make </em><code>nums</code><em> from </em><code>arr</code>.</p>\n\n<p>The test cases are generated so that the answer fits in a <strong>32-bit</strong> signed integer.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,5]\n<strong>Output:</strong> 5\n<strong>Explanation:</strong> Increment by 1 (second element): [0, 0] to get [0, 1] (1 operation).\nDouble all the elements: [0, 1] -&gt; [0, 2] -&gt; [0, 4] (2 operations).\nIncrement by 1 (both elements) [0, 4] -&gt; [1, 4] -&gt; <strong>[1, 5]</strong> (2 operations).\nTotal of operations: 1 + 2 + 2 = 5.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [2,2]\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> Increment by 1 (both elements) [0, 0] -&gt; [0, 1] -&gt; [1, 1] (2 operations).\nDouble all the elements: [1, 1] -&gt; <strong>[2, 2]</strong> (1 operation).\nTotal of operations: 2 + 1 = 3.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [4,2,5]\n<strong>Output:</strong> 6\n<strong>Explanation:</strong> (initial)[0,0,0] -&gt; [1,0,0] -&gt; [1,0,1] -&gt; [2,0,2] -&gt; [2,1,2] -&gt; [4,2,4] -&gt; <strong>[4,2,5]</strong>(nums).\n</pre>\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>0 &lt;= nums[i] &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
"translatedTitle": "得到目标数组的最少函数调用次数",
"translatedContent": "<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/07/10/sample_2_1887.png\" style=\"height:294px; width:573px\" /></p>\n\n<p>给你一个与 <code>nums</code>&nbsp;大小相同且初始值全为 0 的数组 <code>arr</code> ,请你调用以上函数得到整数数组 <code>nums</code>&nbsp;。</p>\n\n<p>请你返回将 <code>arr</code>&nbsp;变成 <code>nums</code>&nbsp;的最少函数调用次数。</p>\n\n<p>答案保证在 32 位有符号整数以内。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre>\n<strong>输入:</strong>nums = [1,5]\n<strong>输出:</strong>5\n<strong>解释:</strong>给第二个数加 1 [0, 0] 变成 [0, 1] 1 次操作)。\n将所有数字乘以 2 [0, 1] -&gt; [0, 2] -&gt; [0, 4] 2 次操作)。\n给两个数字都加 1 [0, 4] -&gt; [1, 4] -&gt; <strong>[1, 5]</strong> 2 次操作)。\n总操作次数为1 + 2 + 2 = 5 。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<strong>输入:</strong>nums = [2,2]\n<strong>输出:</strong>3\n<strong>解释:</strong>给两个数字都加 1 [0, 0] -&gt; [0, 1] -&gt; [1, 1] 2 次操作)。\n将所有数字乘以 2 [1, 1] -&gt; <strong>[2, 2]</strong> 1 次操作)。\n总操作次数为 2 + 1 = 3 。\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre>\n<strong>输入:</strong>nums = [4,2,5]\n<strong>输出:</strong>6\n<strong>解释:</strong>(初始)[0,0,0] -&gt; [1,0,0] -&gt; [1,0,1] -&gt; [2,0,2] -&gt; [2,1,2] -&gt; [4,2,4] -&gt; <strong>[4,2,5] </strong>nums 数组)。\n</pre>\n\n<p><strong>示例 4</strong></p>\n\n<pre>\n<strong>输入:</strong>nums = [3,2,2,4]\n<strong>输出:</strong>7\n</pre>\n\n<p><strong>示例 5</strong></p>\n\n<pre>\n<strong>输入:</strong>nums = [2,4,8,16]\n<strong>输出:</strong>8\n</pre>\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;= 10^5</code></li>\n\t<li><code>0 &lt;= nums[i] &lt;= 10^9</code></li>\n</ul>\n",
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