leetcode-problemset/leetcode-cn/originData/find-a-value-of-a-mysterious-function-closest-to-target.json

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            "categoryTitle": "Algorithms",
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            "title": "Find a Value of a Mysterious Function Closest to Target",
            "titleSlug": "find-a-value-of-a-mysterious-function-closest-to-target",
            "content": "<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/07/09/change.png\" style=\"width: 635px; height: 312px;\" /></p>\n\n<p>Winston was given the above mysterious function <code>func</code>. He has an integer array <code>arr</code> and an integer <code>target</code> and he wants to find the values <code>l</code> and <code>r</code> that make the value <code>|func(arr, l, r) - target|</code> minimum possible.</p>\n\n<p>Return <em>the minimum possible value</em> of <code>|func(arr, l, r) - target|</code>.</p>\n\n<p>Notice that <code>func</code> should be called with the values <code>l</code> and <code>r</code> where <code>0 &lt;= l, r &lt; arr.length</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> arr = [9,12,3,7,15], target = 5\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> Calling func with all the pairs of [l,r] = [[0,0],[1,1],[2,2],[3,3],[4,4],[0,1],[1,2],[2,3],[3,4],[0,2],[1,3],[2,4],[0,3],[1,4],[0,4]], Winston got the following results [9,12,3,7,15,8,0,3,7,0,0,3,0,0,0]. The value closest to 5 is 7 and 3, thus the minimum difference is 2.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> arr = [1000000,1000000,1000000], target = 1\n<strong>Output:</strong> 999999\n<strong>Explanation:</strong> Winston called the func with all possible values of [l,r] and he always got 1000000, thus the min difference is 999999.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> arr = [1,2,4,8,16], target = 0\n<strong>Output:</strong> 0\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= arr.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= arr[i] &lt;= 10<sup>6</sup></code></li>\n\t<li><code>0 &lt;= target &lt;= 10<sup>7</sup></code></li>\n</ul>\n",
            "translatedTitle": "找到最接近目标值的函数值",
            "translatedContent": "<p><img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2020/07/19/change.png\" style=\"height: 312px; width: 635px;\"></p>\n\n<p>Winston 构造了一个如上所示的函数&nbsp;<code>func</code>&nbsp;。他有一个整数数组&nbsp;<code>arr</code>&nbsp;和一个整数&nbsp;<code>target</code>&nbsp;，他想找到让&nbsp;<code>|func(arr, l, r) - target|</code>&nbsp;最小的 <code>l</code>&nbsp;和 <code>r</code>&nbsp;。</p>\n\n<p>请你返回&nbsp;<code>|func(arr, l, r) - target|</code>&nbsp;的最小值。</p>\n\n<p>请注意，&nbsp;<code>func</code> 的输入参数&nbsp;<code>l</code> 和&nbsp;<code>r</code>&nbsp;需要满足&nbsp;<code>0 &lt;= l, r &lt; arr.length</code>&nbsp;。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre><strong>输入：</strong>arr = [9,12,3,7,15], target = 5\n<strong>输出：</strong>2\n<strong>解释：</strong>所有可能的 [l,r] 数对包括 [[0,0],[1,1],[2,2],[3,3],[4,4],[0,1],[1,2],[2,3],[3,4],[0,2],[1,3],[2,4],[0,3],[1,4],[0,4]]， Winston 得到的相应结果为 [9,12,3,7,15,8,0,3,7,0,0,3,0,0,0] 。最接近 5 的值是 7 和 3，所以最小差值为 2 。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre><strong>输入：</strong>arr = [1000000,1000000,1000000], target = 1\n<strong>输出：</strong>999999\n<strong>解释：</strong>Winston 输入函数的所有可能 [l,r] 数对得到的函数值都为 1000000 ，所以最小差值为 999999 。\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre><strong>输入：</strong>arr = [1,2,4,8,16], target = 0\n<strong>输出：</strong>0\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= arr.length &lt;= 10^5</code></li>\n\t<li><code>1 &lt;= arr[i] &lt;= 10^6</code></li>\n\t<li><code>0 &lt;= target &lt;= 10^7</code></li>\n</ul>\n",
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