You are given circular array a0,a1,...,an-1. There are two types of operations with it:
inc(lf,rg,v) - this operation increases each element on the segment [lf,rg] (inclusively) by v; rmq(lf,rg) - this operation returns minimal value on the segment [lf,rg] (inclusively).
Assume segments to be circular, so if n=5 and lf=3,rg=1, it means the index sequence: 3,4,0,1.

Write program to process given sequence of operations.

The first line contains integer n (1 \le n \le 200000). The next line contains initial state of the array: a0,a1,...,an-1 (-106 \le ai \le 106), ai are integer. The third line contains integer m (0 \le m \le 200000), m - the number of operartons. Next m lines contain one operation each. If line contains two integer lf,rg (0 \le lf,rg \le n-1) it means rmq operation, it contains three integers lf,rg,v (0 \le lf,rg \le n-1;-106 \le v \le 106) - inc operation.

For each rmq operation write result for it. Please, do not use %lld specificator to read or write 64-bit integers in C++. It is preffered to use cout (also you may use %I64d).