13:I[87,["736","static/chunks/89fc4f0e-9e200ae6a0166583.js","401","static/chunks/363642f4-32903b9154b7835a.js","153","static/chunks/153-58eddeb032cc4608.js","131","static/chunks/131-05ce00cfd760e12b.js","87","static/chunks/87-b76b60eef573119a.js","286","static/chunks/app/problem/%5Bid%5D/page-45cf3875257fc32e.js"],"Header"] 14:I[1742,["736","static/chunks/89fc4f0e-9e200ae6a0166583.js","401","static/chunks/363642f4-32903b9154b7835a.js","153","static/chunks/153-58eddeb032cc4608.js","131","static/chunks/131-05ce00cfd760e12b.js","87","static/chunks/87-b76b60eef573119a.js","286","static/chunks/app/problem/%5Bid%5D/page-45cf3875257fc32e.js"],"ProblemView"] 15:T67a,

You are given a sequence of integers $$$[a_1, a_2, \dots, a_n]$$$. Let $$$s(l,r)$$$ be the sum of elements from $$$a_l$$$ to $$$a_r$$$ (i. e. $$$s(l,r) = \sum\limits_{i=l}^{r} a_i$$$).

Let's construct another sequence $$$b$$$ of size $$$\frac{n(n+1)}{2}$$$ as follows: $$$b = [s(1,1), s(1,2), \dots, s(1,n), s(2,2), s(2,3), \dots, s(2,n), s(3,3), \dots, s(n,n)]$$$.

For example, if $$$a = [1, 2, 5, 10]$$$, then $$$b = [1, 3, 8, 18, 2, 7, 17, 5, 15, 10]$$$.

You are given $$$q$$$ queries. During the $$$i$$$-th query, you are given two integers $$$l_i$$$ and $$$r_i$$$, and you have to calculate $$$\sum \limits_{j=l_i}^{r_i} b_j$$$.

Input

The first line contains one integer $$$n$$$ ($$$1 \le n \le 3 \cdot 10^5$$$).

The second line contains $$$n$$$ integers $$$a_1, a_2, \dots, a_n$$$ ($$$-10 \le a_i \le 10$$$).

The third line contains one integer $$$q$$$ ($$$1 \le q \le 3 \cdot 10^5$$$).

Then $$$q$$$ lines follow, the $$$i$$$-th of them contains two integers

Sums of Segments

Examples