{ "data": { "question": { "questionId": "3246", "questionFrontendId": "2980", "categoryTitle": "Algorithms", "boundTopicId": 2583412, "title": "Check if Bitwise OR Has Trailing Zeros", "titleSlug": "check-if-bitwise-or-has-trailing-zeros", "content": "
You are given an array of positive integers nums
.
You have to check if it is possible to select two or more elements in the array such that the bitwise OR
of the selected elements has at least one trailing zero in its binary representation.
For example, the binary representation of 5
, which is "101"
, does not have any trailing zeros, whereas the binary representation of 4
, which is "100"
, has two trailing zeros.
Return true
if it is possible to select two or more elements whose bitwise OR
has trailing zeros, return false
otherwise.
\n
Example 1:
\n\n\nInput: nums = [1,2,3,4,5]\nOutput: true\nExplanation: If we select the elements 2 and 4, their bitwise OR is 6, which has the binary representation "110" with one trailing zero.\n\n\n
Example 2:
\n\n\nInput: nums = [2,4,8,16]\nOutput: true\nExplanation: If we select the elements 2 and 4, their bitwise OR is 6, which has the binary representation "110" with one trailing zero.\nOther possible ways to select elements to have trailing zeroes in the binary representation of their bitwise OR are: (2, 8), (2, 16), (4, 8), (4, 16), (8, 16), (2, 4, 8), (2, 4, 16), (2, 8, 16), (4, 8, 16), and (2, 4, 8, 16).\n\n\n
Example 3:
\n\n\nInput: nums = [1,3,5,7,9]\nOutput: false\nExplanation: There is no possible way to select two or more elements to have trailing zeros in the binary representation of their bitwise OR.\n\n\n
\n
Constraints:
\n\n2 <= nums.length <= 100
1 <= nums[i] <= 100
给你一个 正整数 数组 nums
。
你需要检查是否可以从数组中选出 两个或更多 元素,满足这些元素的按位或运算( OR
)结果的二进制表示中 至少 存在一个尾随零。
例如,数字 5
的二进制表示是 \"101\"
,不存在尾随零,而数字 4
的二进制表示是 \"100\"
,存在两个尾随零。
如果可以选择两个或更多元素,其按位或运算结果存在尾随零,返回 true
;否则,返回 false
。
\n\n
示例 1:
\n\n\n输入:nums = [1,2,3,4,5]\n输出:true\n解释:如果选择元素 2 和 4,按位或运算结果是 6,二进制表示为 \"110\" ,存在一个尾随零。\n\n\n
示例 2:
\n\n\n输入:nums = [2,4,8,16]\n输出:true\n解释:如果选择元素 2 和 4,按位或运算结果是 6,二进制表示为 \"110\",存在一个尾随零。\n其他按位或运算结果存在尾随零的可能选择方案包括:(2, 8), (2, 16), (4, 8), (4, 16), (8, 16), (2, 4, 8), (2, 4, 16), (2, 8, 16), (4, 8, 16), 以及 (2, 4, 8, 16) 。\n\n\n
示例 3:
\n\n\n输入:nums = [1,3,5,7,9]\n输出:false\n解释:不存在按位或运算结果存在尾随零的选择方案。\n\n\n
\n\n
提示:
\n\n2 <= nums.length <= 100
1 <= nums[i] <= 100
OR
can never unset a bit. If there is a solution, there must be a solution with only a pair of elements.",
"We can brute force the solution: enumerate all the pairs.",
"As the least significant bit must stay unset, the question is whether the array has at least two even elements."
],
"solution": null,
"status": null,
"sampleTestCase": "[1,2,3,4,5]",
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