leetcode-problemset/leetcode-cn/originData/sum-of-mutated-array-closest-to-target.json

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            "categoryTitle": "Algorithms",
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            "title": "Sum of Mutated Array Closest to Target",
            "titleSlug": "sum-of-mutated-array-closest-to-target",
            "content": "<p>Given an integer array <code>arr</code> and a target value <code>target</code>, return the integer <code>value</code> such that when we change all the integers larger than <code>value</code> in the given array to be equal to <code>value</code>, the sum of the array gets as close as possible (in absolute difference) to <code>target</code>.</p>\n\n<p>In case of a tie, return the minimum such integer.</p>\n\n<p>Notice that the answer is not neccesarilly a number from <code>arr</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> arr = [4,9,3], target = 10\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> When using 3 arr converts to [3, 3, 3] which sums 9 and that&#39;s the optimal answer.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> arr = [2,3,5], target = 10\n<strong>Output:</strong> 5\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> arr = [60864,25176,27249,21296,20204], target = 56803\n<strong>Output:</strong> 11361\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>4</sup></code></li>\n\t<li><code>1 &lt;= arr[i], target &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
            "translatedTitle": "转变数组后最接近目标值的数组和",
            "translatedContent": "<p>给你一个整数数组&nbsp;<code>arr</code> 和一个目标值&nbsp;<code>target</code> ，请你返回一个整数&nbsp;<code>value</code>&nbsp;，使得将数组中所有大于&nbsp;<code>value</code> 的值变成&nbsp;<code>value</code> 后，数组的和最接近&nbsp; <code>target</code>&nbsp;（最接近表示两者之差的绝对值最小）。</p>\n\n<p>如果有多种使得和最接近&nbsp;<code>target</code>&nbsp;的方案，请你返回这些整数中的最小值。</p>\n\n<p>请注意，答案不一定是&nbsp;<code>arr</code> 中的数字。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre><strong>输入：</strong>arr = [4,9,3], target = 10\n<strong>输出：</strong>3\n<strong>解释：</strong>当选择 value 为 3 时，数组会变成 [3, 3, 3]，和为 9 ，这是最接近 target 的方案。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre><strong>输入：</strong>arr = [2,3,5], target = 10\n<strong>输出：</strong>5\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre><strong>输入：</strong>arr = [60864,25176,27249,21296,20204], target = 56803\n<strong>输出：</strong>11361\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;= 10^4</code></li>\n\t<li><code>1 &lt;= arr[i], target &lt;= 10^5</code></li>\n</ul>\n",
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                "If you draw a graph with the value on one axis and the absolute difference between the target and the array sum, what will you get?",
                "That graph is uni-modal.",
                "Use ternary search on that graph to find the best value."
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