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g2501_2600.s2568_minimum_impossible_or.readme.md Maven / Gradle / Ivy

2568\. Minimum Impossible OR

Medium

You are given a **0-indexed** integer array `nums`.

We say that an integer x is **expressible** from `nums` if there exist some integers 0 <= index1 < index2 < ... < indexk < nums.length for which nums[index1] | nums[index2] | ... | nums[indexk] = x. In other words, an integer is expressible if it can be written as the bitwise OR of some subsequence of `nums`.

Return _the minimum **positive non-zero integer** that is not_ _expressible from_ `nums`.

**Example 1:**

**Input:** nums = [2,1]

**Output:** 4

**Explanation:** 1 and 2 are already present in the array. We know that 3 is expressible, since nums[0] | nums[1] = 2 | 1 = 3. Since 4 is not expressible, we return 4.

**Example 2:**

**Input:** nums = [5,3,2]

**Output:** 1

**Explanation:** We can show that 1 is the smallest number that is not expressible.

**Constraints:**

*   1 <= nums.length <= 105
*   1 <= nums[i] <= 109