{ "data": { "question": { "questionId": "2705", "questionFrontendId": "2568", "boundTopicId": null, "title": "Minimum Impossible OR", "titleSlug": "minimum-impossible-or", "content": "

You are given a 0-indexed integer array nums.

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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.

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Return the minimum positive non-zero integer that is not expressible from nums.

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Example 1:

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\nInput: nums = [2,1]\nOutput: 4\nExplanation: 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.\n
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Example 2:

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\nInput: nums = [5,3,2]\nOutput: 1\nExplanation: We can show that 1 is the smallest number that is not expressible.\n
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Constraints:

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Compiled with clang 11 using the latest C++ 20 standard.

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Your code is compiled with level two optimization (-O2). AddressSanitizer is also enabled to help detect out-of-bounds and use-after-free bugs.

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Most standard library headers are already included automatically for your convenience.

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OpenJDK 17. Java 8 features such as lambda expressions and stream API can be used.

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Most standard library headers are already included automatically for your convenience.

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Includes Pair class from https://docs.oracle.com/javase/8/javafx/api/javafx/util/Pair.html.

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Python 2.7.12.

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Most libraries are already imported automatically for your convenience, such as array, bisect, collections. If you need more libraries, you can import it yourself.

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For Map/TreeMap data structure, you may use sortedcontainers library.

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Most standard library headers are already included automatically for your convenience.

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C# 10 with .NET 6 runtime

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Node.js 16.13.2.

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lodash.js library is included by default.

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Ruby 3.1

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Some common data structure implementations are provided in the Algorithms module: https://www.rubydoc.info/github/kanwei/algorithms/Algorithms

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Swift 5.5.2.

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Go 1.21

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Python 3.10.

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Scala 2.13.7.

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Kotlin 1.9.0.

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Rust 1.58.1

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PHP 8.1.

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With bcmath module

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TypeScript 5.1.6, Node.js 16.13.2.

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Dart 2.17.3

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