###name
array

###descirption
You are given an array \$a_1,a_2,…,a_n(∀i∈[1,n],1≤a_i≤n)\$. Initially, each element of the array is unique.

Moreover, there are m instructions.

Each instruction is in one of the following two formats:

1. (1,pos),indicating to change the value of \$a_{pos}\$ to \$a_{pos}+10,000,000\$;
2. (2,r,k),indicating to ask the minimum value which is not equal to any \$a_i\$ ( 1≤i≤r ) and not less than k.

Please print all results of the instructions in format 2.

###input
The first line of the input contains an integer T(1≤T≤10), denoting the number of test cases.

In each test case, there are two integers n(1≤n≤100,000),m(1≤m≤100,000) in the first line, denoting the size of array a and the number of instructions.

In the second line, there are n distinct integers \$a_1,a_2,…,a_n (∀i∈[1,n],1≤a_i≤n)\$,denoting the array.
For the following m lines, each line is of format \$(1,t_1) or (2,t_2,t_3)\$.
The parameters of each instruction are generated by such way :

For instructions in format 1 , we defined \$pos=t_1⊕LastAns\$ . (It is promised that 1≤pos≤n)

For instructions in format 2 , we defined \$r=t_2⊕LastAns,k=t_3⊕LastAns\$. (It is promised that 1≤r≤n,1≤k≤n )

(Note that ⊕ means the bitwise XOR operator. )

Before the first instruction of each test case, LastAns is equal to 0 .After each instruction in format 2, LastAns will be changed to the result of that instruction.

(∑n≤510,000,∑m≤510,000 )

###output
For each instruction in format 2, output the answer in one line.

###sample input
3
5 9
4 3 1 2 5
2 1 1
2 2 2
2 6 7
2 1 3
2 6 3
2 0 4
1 5
2 3 7
2 4 3
10 6
1 2 4 6 3 5 9 10 7 8
2 7 2
1 2
2 0 5
2 11 10
1 3
2 3 2
10 10
9 7 5 3 4 10 6 2 1 8
1 10
2 8 9
1 12
2 15 15
1 12
2 1 3
1 9
1 12
2 2 2
1 9

###sample output
1
5
2
2
5
6
1
6
7
3
11
10
11
4
8
11

###hint
note:
After the generation procedure ,the instructions of the first test case are :
2 1 1, in format 2 and r=1 , k=1
2 3 3, in format 2 and r=3 , k=3
2 3 2, in format 2 and r=3 , k=2
2 3 1, in format 2 and r=3 , k=1
2 4 1, in format 2 and r=4 , k=1
2 5 1, in format 2 and r=5 , k=1
1 3 , in format 1 and pos=3
2 5 1, in format 2 and r=5 , k=1
2 5 2, in format 2 and r=5 , k=2

the instructions of the second test case are :
2 7 2, in format 2 and r=7 , k=2
1 5 , in format 1 and pos=5
2 7 2, in format 2 and r=7 , k=2
2 8 9, in format 2 and r=8 , k=9
1 8 , in format 1 and pos=8
2 8 9, in format 2 and r=8 , k=9

the instructions of the third test case are :
1 10 , in format 1 and pos=10
2 8 9 , in format 2 and r=8 , k=9
1 7 , in format 1 and pos=7
2 4 4 , in format 2 and r=4 , k=4
1 8 , in format 1 and pos=8
2 5 7 , in format 2 and r=5 , k=7
1 1 , in format 1 and pos=1
1 4 , in format 1 and pos=4
2 10 10, in format 2 and r=10 , k=10
1 2 , in format 1 and pos=2

###toturial1

###code1

###toturial2

###code2