{ "data": { "question": { "questionId": "1940", "questionFrontendId": "1829", "boundTopicId": null, "title": "Maximum XOR for Each Query", "titleSlug": "maximum-xor-for-each-query", "content": "

You are given a sorted array nums of n non-negative integers and an integer maximumBit. You want to perform the following query n times:

\n\n
    \n\t
  1. Find a non-negative integer k < 2maximumBit such that nums[0] XOR nums[1] XOR ... XOR nums[nums.length-1] XOR k is maximized. k is the answer to the ith query.
  2. \n\t
  3. Remove the last element from the current array nums.
  4. \n
\n\n

Return an array answer, where answer[i] is the answer to the ith query.

\n\n

 

\n

Example 1:

\n\n
\nInput: nums = [0,1,1,3], maximumBit = 2\nOutput: [0,3,2,3]\nExplanation: The queries are answered as follows:\n1st query: nums = [0,1,1,3], k = 0 since 0 XOR 1 XOR 1 XOR 3 XOR 0 = 3.\n2nd query: nums = [0,1,1], k = 3 since 0 XOR 1 XOR 1 XOR 3 = 3.\n3rd query: nums = [0,1], k = 2 since 0 XOR 1 XOR 2 = 3.\n4th query: nums = [0], k = 3 since 0 XOR 3 = 3.\n
\n\n

Example 2:

\n\n
\nInput: nums = [2,3,4,7], maximumBit = 3\nOutput: [5,2,6,5]\nExplanation: The queries are answered as follows:\n1st query: nums = [2,3,4,7], k = 5 since 2 XOR 3 XOR 4 XOR 7 XOR 5 = 7.\n2nd query: nums = [2,3,4], k = 2 since 2 XOR 3 XOR 4 XOR 2 = 7.\n3rd query: nums = [2,3], k = 6 since 2 XOR 3 XOR 6 = 7.\n4th query: nums = [2], k = 5 since 2 XOR 5 = 7.\n
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Example 3:

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\nInput: nums = [0,1,2,2,5,7], maximumBit = 3\nOutput: [4,3,6,4,6,7]\n
\n\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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Note that Python 2.7 will not be maintained past 2020. For the latest Python, please choose Python3 instead.

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

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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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