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Medium
Bit Manipulation
Array
Math
Enumeration

中文文档

Description

You are given an integer array nums.

A XOR triplet is defined as the XOR of three elements nums[i] XOR nums[j] XOR nums[k] where i <= j <= k.

Return the number of unique XOR triplet values from all possible triplets (i, j, k).

 

Example 1:

Input: nums = [1,3]

Output: 2

Explanation:

The possible XOR triplet values are:

  • (0, 0, 0) → 1 XOR 1 XOR 1 = 1
  • (0, 0, 1) → 1 XOR 1 XOR 3 = 3
  • (0, 1, 1) → 1 XOR 3 XOR 3 = 1
  • (1, 1, 1) → 3 XOR 3 XOR 3 = 3

The unique XOR values are {1, 3}. Thus, the output is 2.

Example 2:

Input: nums = [6,7,8,9]

Output: 4

Explanation:

The possible XOR triplet values are {6, 7, 8, 9}. Thus, the output is 4.

 

Constraints:

  • 1 <= nums.length <= 1500
  • 1 <= nums[i] <= 1500

Solutions

Solution 1

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