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46 lines
2.4 KiB
HTML
46 lines
2.4 KiB
HTML
<p>You are given a <strong>0-indexed</strong> integer array <code>nums</code>. In one operation, you can:</p>
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<ul>
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<li>Choose two different indices <code>i</code> and <code>j</code> such that <code>0 <= i, j < nums.length</code>.</li>
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<li>Choose a non-negative integer <code>k</code> such that the <code>k<sup>th</sup></code> bit (<strong>0-indexed</strong>) in the binary representation of <code>nums[i]</code> and <code>nums[j]</code> is <code>1</code>.</li>
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<li>Subtract <code>2<sup>k</sup></code> from <code>nums[i]</code> and <code>nums[j]</code>.</li>
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</ul>
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<p>A subarray is <strong>beautiful</strong> if it is possible to make all of its elements equal to <code>0</code> after applying the above operation any number of times.</p>
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<p>Return <em>the number of <strong>beautiful subarrays</strong> in the array</em> <code>nums</code>.</p>
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<p>A subarray is a contiguous <strong>non-empty</strong> sequence of elements within an array.</p>
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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 = [4,3,1,2,4]
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<strong>Output:</strong> 2
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<strong>Explanation:</strong> There are 2 beautiful subarrays in nums: [4,<u>3,1,2</u>,4] and [<u>4,3,1,2,4</u>].
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- We can make all elements in the subarray [3,1,2] equal to 0 in the following way:
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- Choose [<u>3</u>, 1, <u>2</u>] and k = 1. Subtract 2<sup>1</sup> from both numbers. The subarray becomes [1, 1, 0].
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- Choose [<u>1</u>, <u>1</u>, 0] and k = 0. Subtract 2<sup>0</sup> from both numbers. The subarray becomes [0, 0, 0].
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- We can make all elements in the subarray [4,3,1,2,4] equal to 0 in the following way:
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- Choose [<u>4</u>, 3, 1, 2, <u>4</u>] and k = 2. Subtract 2<sup>2</sup> from both numbers. The subarray becomes [0, 3, 1, 2, 0].
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- Choose [0, <u>3</u>, <u>1</u>, 2, 0] and k = 0. Subtract 2<sup>0</sup> from both numbers. The subarray becomes [0, 2, 0, 2, 0].
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- Choose [0, <u>2</u>, 0, <u>2</u>, 0] and k = 1. Subtract 2<sup>1</sup> from both numbers. The subarray becomes [0, 0, 0, 0, 0].
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</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 = [1,10,4]
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<strong>Output:</strong> 0
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<strong>Explanation:</strong> There are no beautiful subarrays in nums.
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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>0 <= nums[i] <= 10<sup>6</sup></code></li>
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</ul>
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