6954.Number of Subset Xors

Time Limit: 1s Memory Limit: 512MB

Given an array of $n$ integers, your task is to find the number of different subset xors.

Input Format(From the terminal/stdin)

The first line has an integer $n$ : the size of the array.

The next line has $n$ integers $x_1,x_2,\dots,x_n$ : the contents of the array.

  • $1 \le n \le 2 \cdot 10^5$
  • $0 \le x_i \le 10^9$

Output Format(To the terminal/stdout)

Print one integer: the number of different subset xors.

Sample Input

Copy
3
3 6 5
 \n
 · · \n

Sample Output

Copy
4
 \n

In this case, no other values can be the xor of a subset.

Source: CSES, Bitwise Operations, 3211

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