6956.All Subarray Xors

Time Limit: 1s Memory Limit: 512MB

Given an array of $n$ integers, your task is to find all integers that are the xor sum in some subarray.

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.

  • $1 \le n \le 2 \cdot 10^5$
  • $0 \le x_i \le 10^6$

Output Format(To the terminal/stdout)

First print an integer $k$ : the number of distinct integers that are the xor sum in some subarray.

After this print $k$ integers: the xor sums in increasing order.

Sample Input

Copy
4
5 1 5 9
 \n
 · · · \n

Sample Output

Copy
7
1 4 5 8 9 12 13
 \n
 · · · · ·  ·  \n
Source: CSES, Bitwise Operations, 3233

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