Write a program which manipulates a sequence $A = \\{a_0, a_1, ..., a_{n-1}\\}$ by the following operations:

* min($b, e$): report the minimum element in $a_b, a_{b+1}, ..., a_{e-1}$
* max($b, e$): report the maximum element in $a_b, a_{b+1}, ..., a_{e-1}$

Constraints

* $1 \leq n \leq 1,000$
* $-1,000,000,000 \leq a_i \leq 1,000,000,000$
* $1 \leq q \leq 1,000$
* $0 \leq b < e \leq n$

Input

The input is given in the following format.


$n$
$a_0 \; a_1, ..., \; a_{n-1}$
$q$
$com_1 \; b_1 \; e_1$
$com_2 \; b_2 \; e_2$
:
$com_{q} \; b_{q} \; e_{q}$


In the first line, $n$ (the number of elements in $A$) is given. In the second line, $a_i$ (each element in $A$) are given. In the third line, the number of queries $q$ is given and each query is given in the following $q$ lines. $com_i$ denotes a type of query. 0 and 1 represents min($b, e$) and max($b, e$) respectively.

Output

For each query, print the minimum element or the maximum element in a line.

Example

Input

7
8 3 7 1 9 1 4
3
0 0 3
0 1 5
1 0 7


Output

3
1
9
#include <iostream>
#include<list>
#include<vector>
#include<stack>
#include<queue>
#include<algorithm>
using namespace std;
int main()
{
    int n,q;
    cin>>n;
    vector<int> v(n);
    for(int i=0;i<n;i++) cin>>v[i];
    cin>>q;
    int tp1,a,b;
    while(q--){
        cin>>tp1>>a>>b;
        if(tp1){
            cout<<*max_element(&v[a],&v[b])<<endl;
        }
        else {
            cout<<*min_element(&v[a],&v[b])<<endl;
        }
    }

}
//list<int> lit;
//list<int>::iterator it;
//int main()
//{
//    lit.clear();
//    int t,tp,a;
//    it=lit.begin();
//    cin>>t;
//    while(t--){
//        cin>>tp;
//        switch(tp){
//        case 0:
//            cin>>a;
//            lit.insert(it,a);
//            break;
//    case 1:
//            cin>>a;
//            if(a<0){
//                while(a++){
//                    if(it!=lit.end())it++;
//                }
//            }
//            else if(a>0){
//                while(a--){
//                    if(it!=lit.begin())it--;
//                }
//            }
//        break;
//    case 2:
//        lit.erase(--it);
//        break;
//        }
//    }
//    lit.reverse();
//    for(it=lit.begin();it!=lit.end();it++){
//
//        cout<<*it<<"\n";
//    }
//}

