You are given a 0-indexed positive integer array nums and a positive integer k.
A pair of numbers (num1, num2) is called excellent if the following conditions are satisfied:
num1 and num2 exist in the array nums.num1 OR num2 and num1 AND num2 is greater than or equal to k, where OR is the bitwise OR operation and AND is the bitwise AND operation.Return the number of distinct excellent pairs.
\n\nTwo pairs (a, b) and (c, d) are considered distinct if either a != c or b != d. For example, (1, 2) and (2, 1) are distinct.
Note that a pair (num1, num2) such that num1 == num2 can also be excellent if you have at least one occurrence of num1 in the array.
\n
Example 1:
\n\n\nInput: nums = [1,2,3,1], k = 3\nOutput: 5\nExplanation: The excellent pairs are the following:\n- (3, 3). (3 AND 3) and (3 OR 3) are both equal to (11) in binary. The total number of set bits is 2 + 2 = 4, which is greater than or equal to k = 3.\n- (2, 3) and (3, 2). (2 AND 3) is equal to (10) in binary, and (2 OR 3) is equal to (11) in binary. The total number of set bits is 1 + 2 = 3.\n- (1, 3) and (3, 1). (1 AND 3) is equal to (01) in binary, and (1 OR 3) is equal to (11) in binary. The total number of set bits is 1 + 2 = 3.\nSo the number of excellent pairs is 5.\n\n
Example 2:
\n\n\nInput: nums = [5,1,1], k = 10\nOutput: 0\nExplanation: There are no excellent pairs for this array.\n\n\n
\n
Constraints:
\n\n1 <= nums.length <= 1051 <= nums[i] <= 1091 <= k <= 60给你一个下标从 0 开始的正整数数组 nums 和一个正整数 k 。
如果满足下述条件，则数对 (num1, num2) 是 优质数对 ：
num1 和 num2 都 在数组 nums 中存在。num1 OR num2 和 num1 AND num2 的二进制表示中值为 1 的位数之和大于等于 k ，其中 OR 是按位 或 操作，而 AND 是按位 与 操作。返回 不同 优质数对的数目。
\n\n如果 a != c 或者 b != d ，则认为 (a, b) 和 (c, d) 是不同的两个数对。例如，(1, 2) 和 (2, 1) 不同。
注意：如果 num1 在数组中至少出现 一次 ，则满足 num1 == num2 的数对 (num1, num2) 也可以是优质数对。
\n\n
示例 1：
\n\n\n输入：nums = [1,2,3,1], k = 3\n输出：5\n解释：有如下几个优质数对：\n- (3, 3)：(3 AND 3) 和 (3 OR 3) 的二进制表示都等于 (11) 。值为 1 的位数和等于 2 + 2 = 4 ，大于等于 k = 3 。\n- (2, 3) 和 (3, 2)： (2 AND 3) 的二进制表示等于 (10) ，(2 OR 3) 的二进制表示等于 (11) 。值为 1 的位数和等于 1 + 2 = 3 。\n- (1, 3) 和 (3, 1)： (1 AND 3) 的二进制表示等于 (01) ，(1 OR 3) 的二进制表示等于 (11) 。值为 1 的位数和等于 1 + 2 = 3 。\n所以优质数对的数目是 5 。\n\n
示例 2：
\n\n\n输入：nums = [5,1,1], k = 10\n输出：0\n解释：该数组中不存在优质数对。\n\n\n
\n\n
提示：
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