Serega loves fun. However, everyone has fun in the unique manner. Serega has fun by solving query problems. One day Fedor came up with such a problem.
You are given an array a consisting of n positive integers and queries to it. The queries can be of two types:
Fedor hurried to see Serega enjoy the problem and Serega solved it really quickly. Let's see, can you solve it?
The first line contains integer n (1≤n≤105) − the number of elements of the array. The second line contains n integers a[1],a[2],...,a[n] (1≤a[i]≤n).
The third line contains a single integer q (1≤q≤105) − the number of queries. The next q lines contain the queries.
As you need to respond to the queries online, the queries will be encoded. A query of the first type will be given in format: 1 l'i r'i. A query of the second type will be given in format: 2 l'i r'i k'i. All the number in input are integer. They satisfy the constraints: 1≤l'i,r'i,k'i≤n.
To decode the queries from the data given in input, you need to perform the following transformations:
Where lastans is the last reply to the query of the 2-nd type (initially, lastans=0). If after transformation li is greater than ri, you must swap these values.
For each query of the 2-nd type print the answer on a single line.
7
6 6 2 7 4 2 5
7
1 3 6
2 2 4 2
2 2 4 7
2 2 2 5
1 2 6
1 1 4
2 1 7 3
2
1
0
0
8
8 4 2 2 7 7 8 8
8
1 8 8
2 8 1 7
1 8 1
1 7 3
2 8 8 3
1 1 4
1 2 7
1 4 5
2
0