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?≤?n?≤?200000). The next line contains initial state of the array: a0,?a1,?...,?an?-?1 (?-?106?≤?ai?≤?106),ai are integer. The third line contains integer m (0?≤?m?≤?200000), m — the number of operartons. Next m lines contain one operation each. If line contains two integer lf,?rg (0?≤?lf,?rg?≤?n?-?1) it means rmq operation, it contains three integers lf,?rg,?v (0?≤?lf,?rg?≤?n?-?1;?-?106?≤?v?≤?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).
4 1 2 3 4 4 3 0 3 0 -1 0 1 2 1
1 0 0