You are given a 0-indexed integer array nums and a positive integer k.
You can do the following operation on the array any number of times:
\n\ni and j and simultaneously update the values of nums[i] to (nums[i] AND nums[j]) and nums[j] to (nums[i] OR nums[j]). Here, OR denotes the bitwise OR operation, and AND denotes the bitwise AND operation.You have to choose k elements from the final array and calculate the sum of their squares.
Return the maximum sum of squares you can achieve.
\n\nSince the answer can be very large, return it modulo 109 + 7.
\n
Example 1:
\n\n\nInput: nums = [2,6,5,8], k = 2\nOutput: 261\nExplanation: We can do the following operations on the array:\n- Choose i = 0 and j = 3, then change nums[0] to (2 AND 8) = 0 and nums[3] to (2 OR 8) = 10. The resulting array is nums = [0,6,5,10].\n- Choose i = 2 and j = 3, then change nums[2] to (5 AND 10) = 0 and nums[3] to (5 OR 10) = 15. The resulting array is nums = [0,6,0,15].\nWe can choose the elements 15 and 6 from the final array. The sum of squares is 152 + 62 = 261.\nIt can be shown that this is the maximum value we can get.\n\n\n
Example 2:
\n\n\nInput: nums = [4,5,4,7], k = 3\nOutput: 90\nExplanation: We do not need to apply any operations.\nWe can choose the elements 7, 5, and 4 with a sum of squares: 72 + 52 + 42 = 90.\nIt can be shown that this is the maximum value we can get.\n\n\n
\n
Constraints:
\n\n1 <= k <= nums.length <= 1051 <= nums[i] <= 109Compiled with clang 11 using the latest C++ 20 standard.
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Most standard library headers are already included automatically for your convenience.
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