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51 lines
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51 lines
2.1 KiB
HTML
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<p>You are given an integer <code>n</code> representing the length of an unknown array that you are trying to recover. You are also given an array <code>sums</code> containing the values of all <code>2<sup>n</sup></code> <strong>subset sums</strong> of the unknown array (in no particular order).</p>
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<p>Return <em>the array </em><code>ans</code><em> of length </em><code>n</code><em> representing the unknown array. If <strong>multiple</strong> answers exist, return <strong>any</strong> of them</em>.</p>
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<p>An array <code>sub</code> is a <strong>subset</strong> of an array <code>arr</code> if <code>sub</code> can be obtained from <code>arr</code> by deleting some (possibly zero or all) elements of <code>arr</code>. The sum of the elements in <code>sub</code> is one possible <strong>subset sum</strong> of <code>arr</code>. The sum of an empty array is considered to be <code>0</code>.</p>
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<p><strong>Note:</strong> Test cases are generated such that there will <strong>always</strong> be at least one correct answer.</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> n = 3, sums = [-3,-2,-1,0,0,1,2,3]
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<strong>Output:</strong> [1,2,-3]
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<strong>Explanation: </strong>[1,2,-3] is able to achieve the given subset sums:
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- []: sum is 0
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- [1]: sum is 1
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- [2]: sum is 2
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- [1,2]: sum is 3
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- [-3]: sum is -3
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- [1,-3]: sum is -2
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- [2,-3]: sum is -1
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- [1,2,-3]: sum is 0
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Note that any permutation of [1,2,-3] and also any permutation of [-1,-2,3] will also be accepted.
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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> n = 2, sums = [0,0,0,0]
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<strong>Output:</strong> [0,0]
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<strong>Explanation:</strong> The only correct answer is [0,0].
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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> n = 4, sums = [0,0,5,5,4,-1,4,9,9,-1,4,3,4,8,3,8]
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<strong>Output:</strong> [0,-1,4,5]
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<strong>Explanation:</strong> [0,-1,4,5] is able to achieve the given subset sums.
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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 <= n <= 15</code></li>
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<li><code>sums.length == 2<sup>n</sup></code></li>
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<li><code>-10<sup>4</sup> <= sums[i] <= 10<sup>4</sup></code></li>
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</ul>
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