You are given a 0-indexed integer array nums. In one operation, you can:
i and j such that 0 <= i, j < nums.length.k such that the kth bit (0-indexed) in the binary representation of nums[i] and nums[j] is 1.2k from nums[i] and nums[j].A subarray is beautiful if it is possible to make all of its elements equal to 0 after applying the above operation any number of times.
Return the number of beautiful subarrays in the array nums.
A subarray is a contiguous non-empty sequence of elements within an array.
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Example 1:
\n\n\nInput: nums = [4,3,1,2,4]\nOutput: 2\nExplanation: There are 2 beautiful subarrays in nums: [4,3,1,2,4] and [4,3,1,2,4].\n- We can make all elements in the subarray [3,1,2] equal to 0 in the following way:\n - Choose [3, 1, 2] and k = 1. Subtract 21 from both numbers. The subarray becomes [1, 1, 0].\n - Choose [1, 1, 0] and k = 0. Subtract 20 from both numbers. The subarray becomes [0, 0, 0].\n- We can make all elements in the subarray [4,3,1,2,4] equal to 0 in the following way:\n - Choose [4, 3, 1, 2, 4] and k = 2. Subtract 22 from both numbers. The subarray becomes [0, 3, 1, 2, 0].\n - Choose [0, 3, 1, 2, 0] and k = 0. Subtract 20 from both numbers. The subarray becomes [0, 2, 0, 2, 0].\n - Choose [0, 2, 0, 2, 0] and k = 1. Subtract 21 from both numbers. The subarray becomes [0, 0, 0, 0, 0].\n\n\n
Example 2:
\n\n\nInput: nums = [1,10,4]\nOutput: 0\nExplanation: There are no beautiful subarrays in nums.\n\n\n
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Constraints:
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Your code is compiled with level two optimization (-O2). AddressSanitizer is also enabled to help detect out-of-bounds and use-after-free bugs.
Most standard library headers are already included automatically for your convenience.
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