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leetcode/problem/sum-of-mutated-array-closest-to-target.html
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<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>
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<p>In case of a tie, return the minimum such integer.</p>
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<p>Notice that the answer is not neccesarilly a number from <code>arr</code>.</p>
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<p> </p>
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<p><strong>Example 1:</strong></p>
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<pre>
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<strong>Input:</strong> arr = [4,9,3], target = 10
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<strong>Output:</strong> 3
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<strong>Explanation:</strong> When using 3 arr converts to [3, 3, 3] which sums 9 and that's the optimal answer.
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</pre>
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<p><strong>Example 2:</strong></p>
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<pre>
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<strong>Input:</strong> arr = [2,3,5], target = 10
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<strong>Output:</strong> 5
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</pre>
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<p><strong>Example 3:</strong></p>
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<pre>
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<strong>Input:</strong> arr = [60864,25176,27249,21296,20204], target = 56803
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<strong>Output:</strong> 11361
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</pre>
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<p> </p>
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<p><strong>Constraints:</strong></p>
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<ul>
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<li><code>1 <= arr.length <= 10<sup>4</sup></code></li>
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<li><code>1 <= arr[i], target <= 10<sup>5</sup></code></li>
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</ul>
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