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Operation

Time Limit: 8000/4000 MS (Java/Others)    Memory Limit: 262144/262144 K (Java/Others)
Total Submission(s): 5354    Accepted Submission(s): 1649


Problem Description
There is an integer sequence $a$ of length $n$ and there are two kinds of operations:
  • 0 l r: select some numbers from $a_l...a_r$ so that their xor sum is maximum, and print the maximum value.

  • 1 x: append $x$ to the end of the sequence and let $n=n+1$.

  •  

    Input
    There are multiple test cases. The first line of input contains an integer $T(T\le 10)$, indicating the number of test cases.
    For each test case:
    The first line contains two integers $n, m(1\le n\le 5\times 10^5, 1\le m\le 5\times 10^5)$, the number of integers initially in the sequence and the number of operations.
    The second line contains $n$ integers $a_1,a_2,...,a_n(0\le a_i< 2^{30})$, denoting the initial sequence.
    Each of the next $m$ lines contains one of the operations given above.
    It's guaranteed that $\sum n\le 10^6, \sum m\le 10^6 , 0\le x< 2^{30}$.
    And operations will be encrypted. You need to decode the operations as follows, where lastans denotes the answer to the last type 0 operation and is initially zero:
    For every type 0 operation, let l=(l xor lastans)mod n + 1, r=(r xor lastans)mod n + 1, and then swap(l, r) if l>r.
    For every type 1 operation, let x=x xor lastans.
     

    Output
    For each type 0 operation, please output the maximum xor sum in a single line.
     

    Sample Input
    1 3 3 0 1 2 0 1 1 1 3 0 3 4
     

    Sample Output
    1 3
     

    Source
     

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