Construct list using given q XOR queries

#xor #Qqueries #google #interview
Given a list S that initially contains a single value 0. Below are the Q queries of the following types:
0 X: Insert X in the list
1 X: For every element A in S, replace it by A XOR X.
Print all the element in the list in increasing order after performing the given Q queries.
Example 1:
Input:
N = 5
Q[] = {{0, 6}, {0, 3}, {0, 2}, {1, 4}, {1, 5}}
Output:
1 2 3 7
Explanation:
[0] (initial value)
[0 6] (add 6 to list)
[0 6 3] (add 3 to list)
[0 6 3 2] (add 2 to list)
[4 2 7 6] (XOR each element by 4)
[1 7 2 3] (XOR each element by 5)
Thus sorted order after performing
queries is [1 2 3 7]
Example 2:
Input:
N = 3
Q[] = {{0, 2}, {1, 3}, {0, 5}}
Output :
1 3 5
Explanation:
[0] (initial value)
[0 2] (add 2 to list)
[3 1] (XOR each element by 3)
[3 1 5] (add 5 to list)
Thus sorted order after performing
queries is [1 3 5].

[@anuraggoyar]

Nice explanation! helped me to understand the logic.