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59 lines
2.0 KiB
HTML
<p>The <strong>XOR total</strong> of an array is defined as the bitwise <code>XOR</code> of<strong> all its elements</strong>, or <code>0</code> if the array is<strong> empty</strong>.</p>
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<ul>
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<li>For example, the <strong>XOR total</strong> of the array <code>[2,5,6]</code> is <code>2 XOR 5 XOR 6 = 1</code>.</li>
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</ul>
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<p>Given an array <code>nums</code>, return <em>the <strong>sum</strong> of all <strong>XOR totals</strong> for every <strong>subset</strong> of </em><code>nums</code>. </p>
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<p><strong>Note:</strong> Subsets with the <strong>same</strong> elements should be counted <strong>multiple</strong> times.</p>
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<p>An array <code>a</code> is a <strong>subset</strong> of an array <code>b</code> if <code>a</code> can be obtained from <code>b</code> by deleting some (possibly zero) elements of <code>b</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> nums = [1,3]
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<strong>Output:</strong> 6
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<strong>Explanation: </strong>The 4 subsets of [1,3] are:
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- The empty subset has an XOR total of 0.
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- [1] has an XOR total of 1.
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- [3] has an XOR total of 3.
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- [1,3] has an XOR total of 1 XOR 3 = 2.
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0 + 1 + 3 + 2 = 6
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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> nums = [5,1,6]
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<strong>Output:</strong> 28
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<strong>Explanation: </strong>The 8 subsets of [5,1,6] are:
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- The empty subset has an XOR total of 0.
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- [5] has an XOR total of 5.
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- [1] has an XOR total of 1.
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- [6] has an XOR total of 6.
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- [5,1] has an XOR total of 5 XOR 1 = 4.
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- [5,6] has an XOR total of 5 XOR 6 = 3.
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- [1,6] has an XOR total of 1 XOR 6 = 7.
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- [5,1,6] has an XOR total of 5 XOR 1 XOR 6 = 2.
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0 + 5 + 1 + 6 + 4 + 3 + 7 + 2 = 28
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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> nums = [3,4,5,6,7,8]
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<strong>Output:</strong> 480
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<strong>Explanation:</strong> The sum of all XOR totals for every subset is 480.
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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 <= nums.length <= 12</code></li>
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<li><code>1 <= nums[i] <= 20</code></li>
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</ul>
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