Package g3301_3400.s3315_construct_the_minimum_bitwise_array_ii

Class Solution

  • All Implemented Interfaces:
    
public final class Solution

    3315 - Construct the Minimum Bitwise Array II.

    Medium

    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.

    Example 1:

    Input: nums = 2,3,5,7

    Output: -1,1,4,3

    Explanation:

    • For i = 0, as there is no value for ans[0] that satisfies ans[0] OR (ans[0] + 1) = 2, so ans[0] = -1.

    • For i = 1, the smallest ans[1] that satisfies ans[1] OR (ans[1] + 1) = 3 is 1, because 1 OR (1 + 1) = 3.

    • For i = 2, the smallest ans[2] that satisfies ans[2] OR (ans[2] + 1) = 5 is 4, because 4 OR (4 + 1) = 5.

    • For 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:

    Input: nums = 11,13,31

    Output: 9,12,15

    Explanation:

    • For i = 0, the smallest ans[0] that satisfies ans[0] OR (ans[0] + 1) = 11 is 9, because 9 OR (9 + 1) = 11.

    • For i = 1, the smallest ans[1] that satisfies ans[1] OR (ans[1] + 1) = 13 is 12, because 12 OR (12 + 1) = 13.

    • For i = 2, the smallest ans[2] that satisfies ans[2] OR (ans[2] + 1) = 31 is 15, because 15 OR (15 + 1) = 31.

    Constraints:

    • 1 <= nums.length <= 100

    • <code>2 <= numsi<= 10<sup>9</sup></code>

    • nums[i] is a prime number.

    • Nested Class Summary

      Nested Classes 
      Modifier and Type Class Description

    • Field Summary

      Fields 
      Modifier and Type Field Description

    • Constructor Summary

      Constructors 
      Constructor Description
      Solution()

    • Enum Constant Summary

      Enum Constants 
      Enum Constant Description

    • Method Summary

      Modifier and Type Method Description
      final IntArray minBitwiseArray(List<Integer> nums)

      • Methods inherited from class java.lang.Object

        clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait