433B.Kuriyama Mirai's Stones

Kuriyama Mirai has killed many monsters and got many (namely n) stones. She numbers the stones from 1 to n. The cost of the i-th stone is vi. Kuriyama Mirai wants to know something about these stones so she will ask you two kinds of questions:

1. She will tell you two numbers, l and r (1 ≤ l ≤ r ≤ n), and you should tell her .
2. Let ui be the cost of the i-th cheapest stone (the cost that will be on the i-th place if we arrange all the stone costs in non-decreasing order). This time she will tell you two numbers, l and r (1 ≤ l ≤ r ≤ n), and you should tell her .

For every question you should give the correct answer, or Kuriyama Mirai will say "fuyukai desu" and then become unhappy.

Input

The first line contains an integer n (1 ≤ n ≤ 105). The second line contains n integers: v1, v2, ..., vn (1 ≤ vi ≤ 109) — costs of the stones.

The third line contains an integer m (1 ≤ m ≤ 105) — the number of Kuriyama Mirai's questions. Then follow m lines, each line contains three integers type, l and r (1 ≤ l ≤ r ≤ n; 1 ≤ type ≤ 2), describing a question. If type equal to 1, then you should output the answer for the first question, else you should output the answer for the second one.

Output

Print m lines. Each line must contain an integer — the answer to Kuriyama Mirai's question. Print the answers to the questions in the order of input.

Examples

input

Copy

6
6 4 2 7 2 7
3
2 3 6
1 3 4
1 1 6

output

Copy

24
9
28

input

Copy

4
5 5 2 3
10
1 2 4
2 1 4
1 1 1
2 1 4
2 1 2
1 1 1
1 3 3
1 1 3
1 4 4
1 2 2

output

Copy

10
15
5
15
5
5
2
12
3
5

Note

Please note that the answers to the questions may overflow 32-bit integer type.

---

刚开始没有注意下面的Note，用int类型的数组WA了。后来改用long long型。我之前也没去算过OJ可以接受多大的数组，就这道AC的代码来看4W的long long是没有问题的。

#include <iostream>
#include <vector>
#include <algorithm>
#include <string>
#include <set>
#include <queue>
#include <map>
#include <sstream>
#include <cstdio>
#include <cstring>
#include <numeric>
#include <cmath>
#include<unordered_set>
#define ll long long
using namespace std;
int dir[][] = { {,},{-,},{,},{,-} };

int main()
{
    int n;
    cin >> n;
    vector<ll> v(n),a(n);
    for (int i = ; i < n; i++)
    {
        int t;
        cin >> t;
        v[i] = t;
        a[i] = t;
    }
    sort(a.begin(), a.end());
    for (int i = ; i < n; i++)
    {
        v[i] += v[i - ];
        a[i] += a[i - ];
    }

    int m;
    cin >> m;
    while (m--)
    {
        int q, l, r;
        cin >> q >> l >> r;
        if (q == )
        {
            if (l == )
                cout << v[r - ] << endl;
            else
                cout << v[r - ] - v[l - ] << endl;
        }
        else
        {
            if (l == )
                cout << a[r - ] << endl;
            else
                cout << a[r - ] - a[l - ] << endl;
        }
    }
    //system("pause");
    return ;
}