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49 lines
2.0 KiB
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49 lines
2.0 KiB
HTML
<p>You are given a <strong>0-indexed</strong> integer array <code>nums</code>.</p>
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<p>The <strong>effective value</strong> of three indices <code>i</code>, <code>j</code>, and <code>k</code> is defined as <code>((nums[i] | nums[j]) & nums[k])</code>.</p>
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<p>The <strong>xor-beauty</strong> of the array is the XORing of <strong>the effective values of all the possible triplets</strong> of indices <code>(i, j, k)</code> where <code>0 <= i, j, k < n</code>.</p>
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<p>Return <em>the xor-beauty of</em> <code>nums</code>.</p>
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<p><strong>Note</strong> that:</p>
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<ul>
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<li><code>val1 | val2</code> is bitwise OR of <code>val1</code> and <code>val2</code>.</li>
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<li><code>val1 & val2</code> is bitwise AND of <code>val1</code> and <code>val2</code>.</li>
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</ul>
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<p> </p>
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<p><strong class="example">Example 1:</strong></p>
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<pre>
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<strong>Input:</strong> nums = [1,4]
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<strong>Output:</strong> 5
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<strong>Explanation:</strong>
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The triplets and their corresponding effective values are listed below:
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- (0,0,0) with effective value ((1 | 1) & 1) = 1
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- (0,0,1) with effective value ((1 | 1) & 4) = 0
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- (0,1,0) with effective value ((1 | 4) & 1) = 1
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- (0,1,1) with effective value ((1 | 4) & 4) = 4
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- (1,0,0) with effective value ((4 | 1) & 1) = 1
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- (1,0,1) with effective value ((4 | 1) & 4) = 4
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- (1,1,0) with effective value ((4 | 4) & 1) = 0
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- (1,1,1) with effective value ((4 | 4) & 4) = 4
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Xor-beauty of array will be bitwise XOR of all beauties = 1 ^ 0 ^ 1 ^ 4 ^ 1 ^ 4 ^ 0 ^ 4 = 5.</pre>
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<p><strong class="example">Example 2:</strong></p>
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<pre>
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<strong>Input:</strong> nums = [15,45,20,2,34,35,5,44,32,30]
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<strong>Output:</strong> 34
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<strong>Explanation:</strong> <code>The xor-beauty of the given array is 34.</code>
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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 <= 10<sup>5</sup></code></li>
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<li><code>1 <= nums[i] <= 10<sup>9</sup></code></li>
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</ul>
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