题目描述

The task is really simple: given N exits on a highway which forms a simple cycle, you are supposed to tell the shortest distance between any pair of exits.

输入描述:

Each input file contains one test case.  For each case, the first line contains an integer N (in [3, 105]), followed by N integer distances D1 D2 ... DN, where Di is the distance between the i-th and the (i+1)-st exits, and DN is between the N-th and the 1st exits.  All the numbers in a line are separated by a space.  The second line gives a positive integer M (<=104), with M lines follow, each contains a pair of exit numbers, provided that the exits are numbered from 1 to N.  It is guaranteed that the total round trip distance is no more than 107.

输出描述:

For each test case, print your results in M lines, each contains the shortest distance between the corresponding given pair of exits.

输入例子:

5 1 2 4 14 9
3
1 3
2 5
4 1

输出例子:

3
10
7