You are given an integer array nums.

A XOR triplet is defined as the XOR of three elements nums[i], nums[j], and nums[k], where i <= j <= k. In other words, its value is:

nums[i] XOR nums[j] XOR nums[k]

Return the number of distinct XOR values that can be obtained from all valid triplets (i, j, k).

Example 1:

Input: nums = [1,3]

Output: 2

Explanation:

The possible XOR 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 distinct XOR values are {1, 3}, so the answer is 2.