{ "data": { "question": { "questionId": "3466", "questionFrontendId": "3209", "categoryTitle": "Algorithms", "boundTopicId": 2830878, "title": "Number of Subarrays With AND Value of K", "titleSlug": "number-of-subarrays-with-and-value-of-k", "content": "
Given an array of integers nums and an integer k, return the number of subarrays of nums where the bitwise AND of the elements of the subarray equals k.
\n
Example 1:
\n\nInput: nums = [1,1,1], k = 1
\n\nOutput: 6
\n\nExplanation:
\n\nAll subarrays contain only 1's.
\nExample 2:
\n\nInput: nums = [1,1,2], k = 1
\n\nOutput: 3
\n\nExplanation:
\n\nSubarrays having an AND value of 1 are: [1,1,2], [1,1,2], [1,1,2].
Example 3:
\n\nInput: nums = [1,2,3], k = 2
\n\nOutput: 2
\n\nExplanation:
\n\nSubarrays having an AND value of 2 are: [1,2,3], [1,2,3].
\n
Constraints:
\n\n1 <= nums.length <= 1050 <= nums[i], k <= 109给你一个整数数组 nums 和一个整数 k ,请你返回 nums 中有多少个子数组满足:子数组中所有元素按位 AND 的结果为 k 。
\n\n
示例 1:
\n\n输入:nums = [1,1,1], k = 1
\n\n输出:6
\n\n解释:
\n\n所有子数组都只含有元素 1 。
\n示例 2:
\n\n输入:nums = [1,1,2], k = 1
\n\n输出:3
\n\n解释:
\n\n按位 AND 值为 1 的子数组包括:[1,1,2], [1,1,2], [1,1,2] 。
示例 3:
\n\n输入:nums = [1,2,3], k = 2
\n\n输出:2
\n\n解释:
\n\n按位 AND 值为 2 的子数组包括:[1,2,3], [1,2,3] 。
\n\n
提示:
\n\n1 <= nums.length <= 1050 <= nums[i], k <= 109(l, r) such that nums[l] & nums[l + 1] & … & nums[r] == k.",
"Fix the left index l.",
"Note that if you increase r for a fixed l, then the AND value of the subarray either decreases or remains unchanged.",
"Therefore, consider using binary search.",
"To calculate the AND value of a subarray, use sparse tables."
],
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