{ "data": { "question": { "questionId": "3611", "questionFrontendId": "3315", "categoryTitle": "Algorithms", "boundTopicId": 2945061, "title": "Construct the Minimum Bitwise Array II", "titleSlug": "construct-the-minimum-bitwise-array-ii", "content": "
You are given an array nums
consisting of n
prime integers.
You need to construct an array ans
of length n
, such that, for each index i
, the bitwise OR
of ans[i]
and ans[i] + 1
is equal to nums[i]
, i.e. ans[i] OR (ans[i] + 1) == nums[i]
.
Additionally, you must minimize each value of ans[i]
in the resulting array.
If it is not possible to find such a value for ans[i]
that satisfies the condition, then set ans[i] = -1
.
\n
Example 1:
\n\nInput: nums = [2,3,5,7]
\n\nOutput: [-1,1,4,3]
\n\nExplanation:
\n\ni = 0
, as there is no value for ans[0]
that satisfies ans[0] OR (ans[0] + 1) = 2
, so ans[0] = -1
.i = 1
, the smallest ans[1]
that satisfies ans[1] OR (ans[1] + 1) = 3
is 1
, because 1 OR (1 + 1) = 3
.i = 2
, the smallest ans[2]
that satisfies ans[2] OR (ans[2] + 1) = 5
is 4
, because 4 OR (4 + 1) = 5
.i = 3
, the smallest ans[3]
that satisfies ans[3] OR (ans[3] + 1) = 7
is 3
, because 3 OR (3 + 1) = 7
.Example 2:
\n\nInput: nums = [11,13,31]
\n\nOutput: [9,12,15]
\n\nExplanation:
\n\ni = 0
, the smallest ans[0]
that satisfies ans[0] OR (ans[0] + 1) = 11
is 9
, because 9 OR (9 + 1) = 11
.i = 1
, the smallest ans[1]
that satisfies ans[1] OR (ans[1] + 1) = 13
is 12
, because 12 OR (12 + 1) = 13
.i = 2
, the smallest ans[2]
that satisfies ans[2] OR (ans[2] + 1) = 31
is 15
, because 15 OR (15 + 1) = 31
.\n
Constraints:
\n\n1 <= nums.length <= 100
2 <= nums[i] <= 109
nums[i]
is a prime number.给你一个长度为 n
的质数数组 nums
。你的任务是返回一个长度为 n
的数组 ans
,对于每个下标 i
,以下 条件 均成立:
ans[i] OR (ans[i] + 1) == nums[i]
除此以外,你需要 最小化 结果数组里每一个 ans[i]
。
如果没法找到符合 条件 的 ans[i]
,那么 ans[i] = -1
。
质数 指的是一个大于 1 的自然数,且它只有 1 和自己两个因数。
\n\n\n\n
示例 1:
\n\n输入:nums = [2,3,5,7]
\n\n输出:[-1,1,4,3]
\n\n解释:
\n\ni = 0
,不存在 ans[0]
满足 ans[0] OR (ans[0] + 1) = 2
,所以 ans[0] = -1
。i = 1
,满足 ans[1] OR (ans[1] + 1) = 3
的最小 ans[1]
为 1
,因为 1 OR (1 + 1) = 3
。i = 2
,满足 ans[2] OR (ans[2] + 1) = 5
的最小 ans[2]
为 4
,因为 4 OR (4 + 1) = 5
。i = 3
,满足 ans[3] OR (ans[3] + 1) = 7
的最小 ans[3]
为 3
,因为 3 OR (3 + 1) = 7
。示例 2:
\n\n输入:nums = [11,13,31]
\n\n输出:[9,12,15]
\n\n解释:
\n\ni = 0
,满足 ans[0] OR (ans[0] + 1) = 11
的最小 ans[0]
为 9
,因为 9 OR (9 + 1) = 11
。i = 1
,满足 ans[1] OR (ans[1] + 1) = 13
的最小 ans[1]
为 12
,因为 12 OR (12 + 1) = 13
。i = 2
,满足 ans[2] OR (ans[2] + 1) = 31
的最小 ans[2]
为 15
,因为 15 OR (15 + 1) = 31
。\n\n
提示:
\n\n1 <= nums.length <= 100
2 <= nums[i] <= 109
nums[i]
是一个质数。nums[i]
.",
"Answer is -1 for even nums[i]
.",
"Try unsetting a single bit from nums[i]
."
],
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"status": null,
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